diff options
| author | robot-contrib <robot-contrib@yandex-team.com> | 2024-12-18 07:27:31 +0300 |
|---|---|---|
| committer | robot-contrib <robot-contrib@yandex-team.com> | 2024-12-18 07:48:38 +0300 |
| commit | 5b90adbdadf5ddb72c2a4de5cb9d17a7850148b2 (patch) | |
| tree | 78166abdc05ed2f0f341844bfa076e27d18303b2 /contrib/restricted/boost | |
| parent | ea1ee8bc4725f339434fd1d48cf0d6f56129f711 (diff) | |
| download | ydb-5b90adbdadf5ddb72c2a4de5cb9d17a7850148b2.tar.gz | |
Update contrib/restricted/boost/math to 1.87.0
commit_hash:41f97eafc725a7a104571e17f721977a52d66d29
Diffstat (limited to 'contrib/restricted/boost')
269 files changed, 26799 insertions, 6006 deletions
diff --git a/contrib/restricted/boost/math/.yandex_meta/devtools.copyrights.report b/contrib/restricted/boost/math/.yandex_meta/devtools.copyrights.report index c371b053ee..c04d5fd96f 100644 --- a/contrib/restricted/boost/math/.yandex_meta/devtools.copyrights.report +++ b/contrib/restricted/boost/math/.yandex_meta/devtools.copyrights.report @@ -48,17 +48,13 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL 01a2263079db6c047536246d78a1333b BELONGS ya.make - License text: - // (C) Copyright John Maddock 2006. - // (C) Copyright Paul A. Bristow 2006. - // Use, modification and distribution are subject to the - // Boost Software License, Version 1.0. (See accompanying file + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/distributions/complement.hpp [1:4] + include/boost/math/distributions/complement.hpp [1:5] KEEP COPYRIGHT_SERVICE_LABEL 02cd524bdb42667b1b164094ec9971ea BELONGS ya.make @@ -138,6 +134,7 @@ KEEP COPYRIGHT_SERVICE_LABEL 05fd399cf249e99987c204a65eb75fba BELONGS ya.make License text: // (C) Copyright Bruno Lalande 2008. + // (C) Copyright Matt Borland 2024. // Distributed under the Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt or copy at Scancode info: @@ -145,7 +142,7 @@ BELONGS ya.make Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/pow.hpp [4:6] + include/boost/math/special_functions/pow.hpp [4:7] KEEP COPYRIGHT_SERVICE_LABEL 0b6f371227c9898f1ce2ae1a4a259a75 BELONGS ya.make @@ -219,17 +216,13 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL 190342424801597afe0e19a4020a4dc9 BELONGS ya.make - License text: - // Copyright John Maddock 2005-2008. - // Copyright (c) 2006-2008 Johan Rade - // Use, modification and distribution are subject to the - // Boost Software License, Version 1.0. (See accompanying file + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/fpclassify.hpp [1:4] + include/boost/math/special_functions/fpclassify.hpp [1:5] KEEP COPYRIGHT_SERVICE_LABEL 1965cc773d008553e4b1a97f92e47cf7 BELONGS ya.make @@ -259,12 +252,12 @@ BELONGS ya.make include/boost/math/bindings/mpreal.hpp [1:3] include/boost/math/distributions/detail/generic_mode.hpp [1:1] include/boost/math/distributions/detail/generic_quantile.hpp [1:3] - include/boost/math/distributions/laplace.hpp [1:3] - include/boost/math/distributions/non_central_beta.hpp [3:3] - include/boost/math/distributions/non_central_chi_squared.hpp [3:3] - include/boost/math/distributions/non_central_f.hpp [3:3] + include/boost/math/distributions/laplace.hpp [1:4] + include/boost/math/distributions/non_central_beta.hpp [3:6] + include/boost/math/distributions/non_central_chi_squared.hpp [3:6] + include/boost/math/distributions/non_central_f.hpp [3:6] include/boost/math/distributions/non_central_t.hpp [3:3] - include/boost/math/special_functions/detail/round_fwd.hpp [1:1] + include/boost/math/special_functions/detail/round_fwd.hpp [1:2] KEEP COPYRIGHT_SERVICE_LABEL 1c03bc5dd84750a354e472dd50319748 BELONGS ya.make @@ -274,7 +267,7 @@ BELONGS ya.make Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/constants/constants.hpp [1:4] + include/boost/math/constants/constants.hpp [1:5] KEEP COPYRIGHT_SERVICE_LABEL 1e3104d56778b7989559e5088ca2e41b BELONGS ya.make @@ -324,12 +317,13 @@ BELONGS ya.make License text: // Copyright John Maddock 2014. // Copyright Paul A. Bristow 2014. + // Copyright Matt Borland 2024. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/distributions/arcsine.hpp [3:4] + include/boost/math/distributions/arcsine.hpp [3:5] KEEP COPYRIGHT_SERVICE_LABEL 247fe2ad75be8bac969ffad2665e4296 BELONGS ya.make @@ -385,7 +379,7 @@ BELONGS ya.make include/boost/math/interpolators/cardinal_trigonometric.hpp [1:3] include/boost/math/interpolators/detail/cardinal_trigonometric_detail.hpp [1:3] include/boost/math/special_functions/cardinal_b_spline.hpp [1:3] - include/boost/math/special_functions/gegenbauer.hpp [1:3] + include/boost/math/special_functions/gegenbauer.hpp [1:4] include/boost/math/special_functions/jacobi.hpp [1:3] include/boost/math/statistics/ljung_box.hpp [1:3] include/boost/math/statistics/t_test.hpp [1:4] @@ -408,17 +402,13 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL 2c5e6ecdaaeaf631f770d746903c293a BELONGS ya.make - License text: - // Copyright John Maddock 2006-7, 2013-20. - // Copyright Paul A. Bristow 2007, 2013-14. - // Copyright Nikhar Agrawal 2013-14 - // Copyright Christopher Kormanyos 2013-14, 2020, 2024 + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/gamma.hpp [1:4] + include/boost/math/special_functions/gamma.hpp [1:7] KEEP COPYRIGHT_SERVICE_LABEL 2c88da1eba82b7c18508f07d9fe9961e BELONGS ya.make @@ -426,12 +416,13 @@ BELONGS ya.make // Copyright Thijs van den Berg, 2008. // Copyright John Maddock 2008. // Copyright Paul A. Bristow 2008, 2014. + // Copyright Matt Borland 2024. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/distributions/laplace.hpp [1:3] + include/boost/math/distributions/laplace.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL 2d0a4d158ee66816dad13709fa303e85 BELONGS ya.make @@ -450,6 +441,7 @@ KEEP COPYRIGHT_SERVICE_LABEL 2d5f4cfed3e5b32b63312a117e31a283 BELONGS ya.make License text: // (C) Copyright John Maddock 2010. + // (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file Scancode info: @@ -457,7 +449,7 @@ BELONGS ya.make Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/tools/tuple.hpp [1:3] + include/boost/math/tools/tuple.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL 2e8dcaf45cebf21faa7919fcd5f00014 BELONGS ya.make @@ -472,20 +464,16 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL 2fed25b670c142362976d681e20983d0 BELONGS ya.make - License text: - // Copyright (c) 2006 Xiaogang Zhang - // Copyright (c) 2006 John Maddock - // Use, modification and distribution are subject to the - // Boost Software License, Version 1.0. (See accompanying file + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/ellint_1.hpp [1:4] - include/boost/math/special_functions/ellint_2.hpp [1:4] + include/boost/math/special_functions/ellint_1.hpp [1:5] + include/boost/math/special_functions/ellint_2.hpp [1:5] include/boost/math/special_functions/ellint_3.hpp [1:4] - include/boost/math/special_functions/ellint_d.hpp [1:4] + include/boost/math/special_functions/ellint_d.hpp [1:5] KEEP COPYRIGHT_SERVICE_LABEL 318bb438497d2ba56543f1344417bbec BELONGS ya.make @@ -500,9 +488,9 @@ BELONGS ya.make Files with this license: include/boost/math/constants/info.hpp [1:3] include/boost/math/distributions/geometric.hpp [3:4] - include/boost/math/distributions/inverse_chi_squared.hpp [1:2] - include/boost/math/distributions/inverse_gamma.hpp [3:6] - include/boost/math/distributions/inverse_gaussian.hpp [1:2] + include/boost/math/distributions/inverse_chi_squared.hpp [1:5] + include/boost/math/distributions/inverse_gamma.hpp [3:7] + include/boost/math/distributions/inverse_gaussian.hpp [1:5] KEEP COPYRIGHT_SERVICE_LABEL 34013dca86747a3a65bb554862882175 BELONGS ya.make @@ -516,36 +504,34 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL 356e94e4f4ffdf79ede13b61da73d082 BELONGS ya.make - License text: - // Copyright John Maddock 2006. - // Copyright Paul A. Bristow 2006, 2012, 2017. - // Copyright Thomas Mang 2012. + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/distributions/students_t.hpp [1:3] + include/boost/math/distributions/students_t.hpp [1:6] KEEP COPYRIGHT_SERVICE_LABEL 3790b2f380ed5746f91d9f6f8e6a50b2 BELONGS ya.make License text: // Copyright John Maddock 2006. // Copyright Paul A. Bristow 2007. + // Copyright Matt Borland 2024. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/distributions/bernoulli.hpp [3:4] + include/boost/math/distributions/bernoulli.hpp [3:5] include/boost/math/distributions/binomial.hpp [3:4] - include/boost/math/distributions/cauchy.hpp [1:2] + include/boost/math/distributions/cauchy.hpp [1:3] include/boost/math/distributions/find_location.hpp [1:2] include/boost/math/distributions/find_scale.hpp [1:2] include/boost/math/distributions/negative_binomial.hpp [3:4] - include/boost/math/distributions/poisson.hpp [3:4] + include/boost/math/distributions/poisson.hpp [3:5] include/boost/math/distributions/rayleigh.hpp [1:4] - include/boost/math/policies/error_handling.hpp [1:2] + include/boost/math/policies/error_handling.hpp [1:5] include/boost/math/special_functions/detail/ibeta_inverse.hpp [1:4] include/boost/math/special_functions/detail/t_distribution_inv.hpp [1:4] include/boost/math/tools/user.hpp [1:2] @@ -630,9 +616,9 @@ BELONGS ya.make Match type : COPYRIGHT Files with this license: include/boost/math/distributions/geometric.hpp [3:4] - include/boost/math/distributions/inverse_chi_squared.hpp [1:2] - include/boost/math/distributions/inverse_gamma.hpp [3:6] - include/boost/math/distributions/inverse_gaussian.hpp [1:2] + include/boost/math/distributions/inverse_chi_squared.hpp [1:5] + include/boost/math/distributions/inverse_gamma.hpp [3:7] + include/boost/math/distributions/inverse_gaussian.hpp [1:5] KEEP COPYRIGHT_SERVICE_LABEL 4915b20164f09b341694cc223cf83586 BELONGS ya.make @@ -776,7 +762,7 @@ BELONGS ya.make Files with this license: include/boost/math/special_functions/hypot.hpp [1:3] include/boost/math/special_functions/log1p.hpp [1:3] - include/boost/math/tools/fraction.hpp [1:3] + include/boost/math/tools/fraction.hpp [1:4] include/boost/math/tools/series.hpp [1:3] include/boost/math/tools/stats.hpp [1:3] @@ -806,6 +792,20 @@ BELONGS ya.make Files with this license: include/boost/math/tools/mp.hpp [1:4] +KEEP COPYRIGHT_SERVICE_LABEL 5bea22e8da8464acc8d9ab38156e45ce +BELONGS ya.make + License text: + // Copyright 2008 Gautam Sewani + // Copyright 2024 Matt Borland + // Use, modification and distribution are subject to the + // Boost Software License, Version 1.0. + Scancode info: + Original SPDX id: COPYRIGHT_SERVICE_LABEL + Score : 100.00 + Match type : COPYRIGHT + Files with this license: + include/boost/math/distributions/logistic.hpp [1:4] + KEEP COPYRIGHT_SERVICE_LABEL 5c0bcf73a23cf834c8fb841b9833fd22 BELONGS ya.make License text: @@ -834,15 +834,13 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL 5dd53ee811abc83b9190c778f5f47298 BELONGS ya.make - License text: - // Copyright John Maddock 2006, 2007. - // Copyright Paul A. Bristow 2006, 2007. + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/distributions/normal.hpp [1:2] + include/boost/math/distributions/normal.hpp [1:5] include/boost/math/distributions/triangular.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL 60255b91bbc9fe1a1a0ae1cc9a978c65 @@ -884,6 +882,21 @@ BELONGS ya.make Files with this license: include/boost/math/special_functions/relative_difference.hpp [1:3] +KEEP COPYRIGHT_SERVICE_LABEL 6ca996db688fe3bfd4030f0f78d09f4c +BELONGS ya.make + License text: + // Copyright Nick Thompson, 2017 + // Copyright Matt Borland, 2024 + // Use, modification and distribution are subject to the + // Boost Software License, Version 1.0. + Scancode info: + Original SPDX id: COPYRIGHT_SERVICE_LABEL + Score : 100.00 + Match type : COPYRIGHT + Files with this license: + include/boost/math/quadrature/detail/sinh_sinh_detail.hpp [1:4] + include/boost/math/quadrature/sinh_sinh.hpp [1:4] + KEEP COPYRIGHT_SERVICE_LABEL 6f522c25b81fd9005f9f0cdd69d03b25 BELONGS ya.make License text: @@ -942,9 +955,9 @@ BELONGS ya.make Match type : COPYRIGHT Files with this license: include/boost/math/distributions/beta.hpp [3:5] - include/boost/math/distributions/uniform.hpp [1:4] - include/boost/math/special_functions/math_fwd.hpp [5:6] - include/boost/math/tools/promotion.hpp [3:5] + include/boost/math/distributions/uniform.hpp [1:5] + include/boost/math/special_functions/math_fwd.hpp [5:7] + include/boost/math/tools/promotion.hpp [3:6] KEEP COPYRIGHT_SERVICE_LABEL 76a1c769b376aa61fdabeb44dad769b9 BELONGS ya.make @@ -962,18 +975,14 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL 774dfa6dd9adb18e5d17bc88b05266a7 BELONGS ya.make - License text: - // Copyright (c) 2006 Xiaogang Zhang - // Copyright (c) 2017 John Maddock - // Use, modification and distribution are subject to the - // Boost Software License, Version 1.0. (See accompanying file + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/detail/bessel_i0.hpp [1:4] - include/boost/math/special_functions/detail/bessel_i1.hpp [1:3] + include/boost/math/special_functions/detail/bessel_i0.hpp [1:5] + include/boost/math/special_functions/detail/bessel_i1.hpp [1:4] include/boost/math/special_functions/detail/bessel_k0.hpp [1:4] include/boost/math/special_functions/detail/bessel_k1.hpp [1:4] @@ -1016,42 +1025,38 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL 7d17bb2579336b337d87a036e9ce244b BELONGS ya.make - License text: - // (C) Copyright John Maddock 2006. - // (C) Copyright Paul A. Bristow 2006. - // Use, modification and distribution are subject to the - // Boost Software License, Version 1.0. (See accompanying file + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/distributions/complement.hpp [1:4] - include/boost/math/special_functions/beta.hpp [1:3] - include/boost/math/special_functions/cbrt.hpp [1:3] - include/boost/math/special_functions/detail/erf_inv.hpp [1:3] - include/boost/math/special_functions/detail/gamma_inva.hpp [1:3] + include/boost/math/distributions/complement.hpp [1:5] + include/boost/math/special_functions/beta.hpp [1:4] + include/boost/math/special_functions/cbrt.hpp [1:4] + include/boost/math/special_functions/detail/erf_inv.hpp [1:4] + include/boost/math/special_functions/detail/gamma_inva.hpp [1:4] include/boost/math/special_functions/detail/ibeta_inv_ab.hpp [1:3] - include/boost/math/special_functions/detail/igamma_inverse.hpp [1:3] + include/boost/math/special_functions/detail/igamma_inverse.hpp [1:4] include/boost/math/special_functions/detail/lanczos_sse2.hpp [1:3] - include/boost/math/special_functions/detail/lgamma_small.hpp [1:3] - include/boost/math/special_functions/digamma.hpp [1:3] - include/boost/math/special_functions/erf.hpp [1:3] - include/boost/math/special_functions/expm1.hpp [1:3] - include/boost/math/special_functions/hermite.hpp [2:4] + include/boost/math/special_functions/detail/lgamma_small.hpp [1:4] + include/boost/math/special_functions/digamma.hpp [1:4] + include/boost/math/special_functions/erf.hpp [1:4] + include/boost/math/special_functions/expm1.hpp [1:4] + include/boost/math/special_functions/hermite.hpp [2:5] include/boost/math/special_functions/laguerre.hpp [2:4] include/boost/math/special_functions/lanczos.hpp [1:3] include/boost/math/special_functions/legendre.hpp [1:3] - include/boost/math/special_functions/powm1.hpp [1:3] - include/boost/math/special_functions/sign.hpp [1:3] + include/boost/math/special_functions/powm1.hpp [1:4] + include/boost/math/special_functions/sign.hpp [1:4] include/boost/math/special_functions/spherical_harmonic.hpp [2:4] include/boost/math/special_functions/sqrt1pm1.hpp [1:3] - include/boost/math/special_functions/trigamma.hpp [1:3] + include/boost/math/special_functions/trigamma.hpp [1:4] include/boost/math/tools/minima.hpp [1:3] include/boost/math/tools/polynomial.hpp [1:2] include/boost/math/tools/rational.hpp [1:3] - include/boost/math/tools/roots.hpp [1:3] - include/boost/math/tools/toms748_solve.hpp [1:3] + include/boost/math/tools/roots.hpp [1:4] + include/boost/math/tools/toms748_solve.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL 7ee360b4e286bb266367da5faf97ebd7 BELONGS ya.make @@ -1063,7 +1068,7 @@ BELONGS ya.make Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/distributions/detail/common_error_handling.hpp [1:2] + include/boost/math/distributions/detail/common_error_handling.hpp [1:3] include/boost/math/special_functions.hpp [1:2] KEEP COPYRIGHT_SERVICE_LABEL 7fe63dbfc34a676863979ab818e17142 @@ -1095,7 +1100,7 @@ BELONGS ya.make include/boost/math/special_functions/round.hpp [1:4] include/boost/math/special_functions/trunc.hpp [1:4] include/boost/math/tools/convert_from_string.hpp [1:4] - include/boost/math/tools/promotion.hpp [3:5] + include/boost/math/tools/promotion.hpp [3:6] KEEP COPYRIGHT_SERVICE_LABEL 821d5dbb10517b78a129c5a569511c66 BELONGS ya.make @@ -1114,6 +1119,7 @@ KEEP COPYRIGHT_SERVICE_LABEL 84aa8f0944ff081c273a32083375f310 BELONGS ya.make License text: // Copyright (c) 2007 John Maddock + // Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file Scancode info: @@ -1121,9 +1127,9 @@ BELONGS ya.make Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/cos_pi.hpp [1:3] + include/boost/math/special_functions/cos_pi.hpp [1:4] include/boost/math/special_functions/detail/bessel_jy_asym.hpp [1:3] - include/boost/math/special_functions/sin_pi.hpp [1:3] + include/boost/math/special_functions/sin_pi.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL 89b3485003c056716426df85610db0f2 BELONGS ya.make @@ -1172,7 +1178,7 @@ BELONGS ya.make Files with this license: include/boost/math/distributions/detail/hypergeometric_pdf.hpp [1:2] include/boost/math/distributions/hypergeometric.hpp [1:3] - include/boost/math/distributions/logistic.hpp [1:1] + include/boost/math/distributions/logistic.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL 8bc414876d610225acf7d931e3e8a898 BELONGS ya.make @@ -1223,6 +1229,7 @@ KEEP COPYRIGHT_SERVICE_LABEL 8df3b48da7b43c15c1ba96354d5fbec1 BELONGS ya.make License text: // Copyright John Maddock 2012. + // Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. Scancode info: @@ -1230,8 +1237,8 @@ BELONGS ya.make Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/airy.hpp [1:3] - include/boost/math/special_functions/hankel.hpp [1:3] + include/boost/math/special_functions/airy.hpp [1:4] + include/boost/math/special_functions/hankel.hpp [1:4] include/boost/math/special_functions/jacobi_elliptic.hpp [1:3] KEEP COPYRIGHT_SERVICE_LABEL 927231b9edc8d25ca05d8eacec531b3d @@ -1252,17 +1259,13 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL 95ac45e399e1397a35020312987ecbb7 BELONGS ya.make - License text: - // Copyright John Maddock 2005-2008. - // Copyright (c) 2006-2008 Johan Rade - // Use, modification and distribution are subject to the - // Boost Software License, Version 1.0. (See accompanying file + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/fpclassify.hpp [1:4] + include/boost/math/special_functions/fpclassify.hpp [1:5] KEEP COPYRIGHT_SERVICE_LABEL 96bb94109504cce2eeda2591c76eb477 BELONGS ya.make @@ -1338,16 +1341,13 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL a25eff9ab0b3a407f0a3f23d36b9b9a8 BELONGS ya.make - License text: - // Copyright John Maddock 2006. - // Copyright Paul A. Bristow 2006, 2012, 2017. - // Copyright Thomas Mang 2012. + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/distributions/students_t.hpp [1:3] + include/boost/math/distributions/students_t.hpp [1:6] KEEP COPYRIGHT_SERVICE_LABEL a8b3a4297e61473986978ae0e07bca11 BELONGS ya.make @@ -1365,17 +1365,13 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL a9c8a7c9fcd186be6ad7d96495fef966 BELONGS ya.make - License text: - // Copyright John Maddock 2006-7, 2013-20. - // Copyright Paul A. Bristow 2007, 2013-14. - // Copyright Nikhar Agrawal 2013-14 - // Copyright Christopher Kormanyos 2013-14, 2020, 2024 + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/gamma.hpp [1:4] + include/boost/math/special_functions/gamma.hpp [1:7] KEEP COPYRIGHT_SERVICE_LABEL a9eb6f13fc57f56c47d8459914a5a52e BELONGS ya.make @@ -1415,25 +1411,25 @@ BELONGS ya.make include/boost/math/concepts/distributions.hpp [1:3] include/boost/math/concepts/real_concept.hpp [1:3] include/boost/math/concepts/std_real_concept.hpp [1:3] - include/boost/math/distributions/bernoulli.hpp [3:4] + include/boost/math/distributions/bernoulli.hpp [3:5] include/boost/math/distributions/beta.hpp [3:5] include/boost/math/distributions/binomial.hpp [3:4] - include/boost/math/distributions/detail/derived_accessors.hpp [1:3] - include/boost/math/distributions/exponential.hpp [1:3] - include/boost/math/distributions/extreme_value.hpp [1:3] - include/boost/math/distributions/fisher_f.hpp [1:1] - include/boost/math/distributions/gamma.hpp [1:3] - include/boost/math/distributions/lognormal.hpp [1:3] - include/boost/math/distributions/poisson.hpp [3:4] - include/boost/math/distributions/students_t.hpp [1:3] - include/boost/math/distributions/uniform.hpp [1:4] - include/boost/math/distributions/weibull.hpp [1:3] + include/boost/math/distributions/detail/derived_accessors.hpp [1:4] + include/boost/math/distributions/exponential.hpp [1:4] + include/boost/math/distributions/extreme_value.hpp [1:4] + include/boost/math/distributions/fisher_f.hpp [1:4] + include/boost/math/distributions/gamma.hpp [1:4] + include/boost/math/distributions/lognormal.hpp [1:4] + include/boost/math/distributions/poisson.hpp [3:5] + include/boost/math/distributions/students_t.hpp [1:6] + include/boost/math/distributions/uniform.hpp [1:5] + include/boost/math/distributions/weibull.hpp [1:4] include/boost/math/special_functions/binomial.hpp [1:3] include/boost/math/special_functions/detail/ibeta_inverse.hpp [1:4] - include/boost/math/special_functions/detail/igamma_large.hpp [1:3] + include/boost/math/special_functions/detail/igamma_large.hpp [1:4] include/boost/math/special_functions/detail/unchecked_factorial.hpp [1:3] - include/boost/math/special_functions/math_fwd.hpp [5:6] - include/boost/math/tools/promotion.hpp [3:5] + include/boost/math/special_functions/math_fwd.hpp [5:7] + include/boost/math/tools/promotion.hpp [3:6] include/boost/math/tools/real_cast.hpp [1:3] KEEP COPYRIGHT_SERVICE_LABEL adccd417789bfad3e5ed6df22fec8ed2 @@ -1474,7 +1470,7 @@ BELONGS ya.make Match type : COPYRIGHT Files with this license: include/boost/math/special_functions/ellint_rg.hpp [1:3] - include/boost/math/special_functions/heuman_lambda.hpp [1:3] + include/boost/math/special_functions/heuman_lambda.hpp [1:4] include/boost/math/special_functions/jacobi_zeta.hpp [1:3] KEEP COPYRIGHT_SERVICE_LABEL b3ae8d5fa08389df2a8eb4a5184974c9 @@ -1493,12 +1489,13 @@ BELONGS ya.make // (C) Copyright John Maddock 2006. // (C) Copyright Johan Rade 2006. // (C) Copyright Paul A. Bristow 2011 (added changesign). + // (C) Copyright Matt Borland 2024 Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/sign.hpp [1:3] + include/boost/math/special_functions/sign.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL b654d39cc24bd85e1a4c2f2b222fa917 BELONGS ya.make @@ -1543,11 +1540,11 @@ BELONGS ya.make include/boost/math/distributions/fwd.hpp [3:4] include/boost/math/distributions/negative_binomial.hpp [3:4] include/boost/math/distributions/pareto.hpp [1:5] - include/boost/math/policies/error_handling.hpp [1:2] + include/boost/math/policies/error_handling.hpp [1:5] include/boost/math/policies/policy.hpp [1:4] include/boost/math/special_functions/detail/t_distribution_inv.hpp [1:4] - include/boost/math/special_functions/expint.hpp [1:3] - include/boost/math/special_functions/modf.hpp [1:3] + include/boost/math/special_functions/expint.hpp [1:4] + include/boost/math/special_functions/modf.hpp [1:4] include/boost/math/special_functions/round.hpp [1:4] include/boost/math/special_functions/trunc.hpp [1:4] include/boost/math/tools/traits.hpp [1:4] @@ -1571,12 +1568,13 @@ KEEP COPYRIGHT_SERVICE_LABEL bb17343149a36c684ba9e6f67a8113f6 BELONGS ya.make License text: // Copyright (c) 2006 Johan Rade + // Copyright (c) 2024 Matt Borland Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/detail/fp_traits.hpp [6:6] + include/boost/math/special_functions/detail/fp_traits.hpp [6:7] KEEP COPYRIGHT_SERVICE_LABEL bb285e04f3efb99a65f4d13aa790d2cb BELONGS ya.make @@ -1649,6 +1647,20 @@ BELONGS ya.make Files with this license: include/boost/math/distributions.hpp [1:2] +KEEP COPYRIGHT_SERVICE_LABEL c15b26cde1aa3b2c16a44263a48bf4d5 +BELONGS ya.make + License text: + // Copyright John Maddock 2006. + // Copyright Paul A. Bristow 2006. + // Copyright Matt Borland 2023. + // Copyright Ryan Elandt 2023. + Scancode info: + Original SPDX id: COPYRIGHT_SERVICE_LABEL + Score : 100.00 + Match type : COPYRIGHT + Files with this license: + include/boost/math/tools/promotion.hpp [3:6] + KEEP COPYRIGHT_SERVICE_LABEL c2c5f360273c75026e91b3e8329e2a4d BELONGS ya.make License text: @@ -1662,6 +1674,51 @@ BELONGS ya.make Files with this license: include/boost/math/tools/detail/is_const_iterable.hpp [1:3] +KEEP COPYRIGHT_SERVICE_LABEL c3c62d9be0a092178551b0d6edb696f2 +BELONGS ya.make + Note: matched license text is too long. Read it in the source files. + Scancode info: + Original SPDX id: COPYRIGHT_SERVICE_LABEL + Score : 100.00 + Match type : COPYRIGHT + Files with this license: + include/boost/math/constants/constants.hpp [1:5] + include/boost/math/distributions/arcsine.hpp [3:5] + include/boost/math/distributions/bernoulli.hpp [3:5] + include/boost/math/distributions/cauchy.hpp [1:3] + include/boost/math/distributions/detail/common_error_handling.hpp [1:3] + include/boost/math/distributions/detail/derived_accessors.hpp [1:4] + include/boost/math/distributions/exponential.hpp [1:4] + include/boost/math/distributions/extreme_value.hpp [1:4] + include/boost/math/distributions/fisher_f.hpp [1:4] + include/boost/math/distributions/gamma.hpp [1:4] + include/boost/math/distributions/holtsmark.hpp [1:4] + include/boost/math/distributions/inverse_chi_squared.hpp [1:5] + include/boost/math/distributions/inverse_gamma.hpp [3:7] + include/boost/math/distributions/inverse_gaussian.hpp [1:5] + include/boost/math/distributions/landau.hpp [1:4] + include/boost/math/distributions/laplace.hpp [1:4] + include/boost/math/distributions/lognormal.hpp [1:4] + include/boost/math/distributions/mapairy.hpp [1:4] + include/boost/math/distributions/non_central_beta.hpp [3:6] + include/boost/math/distributions/non_central_chi_squared.hpp [3:6] + include/boost/math/distributions/non_central_f.hpp [3:6] + include/boost/math/distributions/normal.hpp [1:5] + include/boost/math/distributions/poisson.hpp [3:5] + include/boost/math/distributions/saspoint5.hpp [1:4] + include/boost/math/distributions/students_t.hpp [1:6] + include/boost/math/distributions/uniform.hpp [1:5] + include/boost/math/distributions/weibull.hpp [1:4] + include/boost/math/policies/error_handling.hpp [1:5] + include/boost/math/special_functions/airy.hpp [1:4] + include/boost/math/special_functions/detail/igamma_large.hpp [1:4] + include/boost/math/special_functions/detail/round_fwd.hpp [1:2] + include/boost/math/special_functions/expint.hpp [1:4] + include/boost/math/special_functions/gamma.hpp [1:7] + include/boost/math/special_functions/hankel.hpp [1:4] + include/boost/math/special_functions/math_fwd.hpp [5:7] + include/boost/math/special_functions/modf.hpp [1:4] + KEEP COPYRIGHT_SERVICE_LABEL c60de0ab1b87180baa8dac7f813ae3b4 BELONGS ya.make Note: matched license text is too long. Read it in the source files. @@ -1670,7 +1727,24 @@ BELONGS ya.make Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/constants/constants.hpp [1:4] + include/boost/math/constants/constants.hpp [1:5] + +KEEP COPYRIGHT_SERVICE_LABEL ca07de1cfde711eafaf54863333b9dc0 +BELONGS ya.make + License text: + // Copyright Takuma Yoshimura 2024. + // Copyright Matt Borland 2024. + // Use, modification and distribution are subject to the + // Boost Software License, Version 1.0. (See accompanying file + Scancode info: + Original SPDX id: COPYRIGHT_SERVICE_LABEL + Score : 100.00 + Match type : COPYRIGHT + Files with this license: + include/boost/math/distributions/holtsmark.hpp [1:4] + include/boost/math/distributions/landau.hpp [1:4] + include/boost/math/distributions/mapairy.hpp [1:4] + include/boost/math/distributions/saspoint5.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL cd59a9b17dba1f12cc9f24d0e732702a BELONGS ya.make @@ -1753,25 +1827,50 @@ BELONGS ya.make Match type : COPYRIGHT Files with this license: include/boost/math/distributions.hpp [1:2] - include/boost/math/distributions/cauchy.hpp [1:2] + include/boost/math/distributions/cauchy.hpp [1:3] include/boost/math/distributions/chi_squared.hpp [1:2] - include/boost/math/distributions/detail/common_error_handling.hpp [1:2] - include/boost/math/distributions/normal.hpp [1:2] + include/boost/math/distributions/detail/common_error_handling.hpp [1:3] + include/boost/math/distributions/normal.hpp [1:5] include/boost/math/distributions/triangular.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL d75225060f193b9147dad5e0d7d42983 BELONGS ya.make - License text: - // Copyright John Maddock 2006-7, 2013-20. - // Copyright Paul A. Bristow 2007, 2013-14. - // Copyright Nikhar Agrawal 2013-14 - // Copyright Christopher Kormanyos 2013-14, 2020, 2024 + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/gamma.hpp [1:4] + include/boost/math/special_functions/gamma.hpp [1:7] + +KEEP COPYRIGHT_SERVICE_LABEL d901828beb72ead5a630812e0dcbb583 +BELONGS ya.make + Note: matched license text is too long. Read it in the source files. + Scancode info: + Original SPDX id: COPYRIGHT_SERVICE_LABEL + Score : 100.00 + Match type : COPYRIGHT + Files with this license: + include/boost/math/distributions/complement.hpp [1:5] + include/boost/math/special_functions/beta.hpp [1:4] + include/boost/math/special_functions/cbrt.hpp [1:4] + include/boost/math/special_functions/detail/erf_inv.hpp [1:4] + include/boost/math/special_functions/detail/gamma_inva.hpp [1:4] + include/boost/math/special_functions/detail/igamma_inverse.hpp [1:4] + include/boost/math/special_functions/detail/lgamma_small.hpp [1:4] + include/boost/math/special_functions/digamma.hpp [1:4] + include/boost/math/special_functions/erf.hpp [1:4] + include/boost/math/special_functions/expm1.hpp [1:4] + include/boost/math/special_functions/gegenbauer.hpp [1:4] + include/boost/math/special_functions/hermite.hpp [2:5] + include/boost/math/special_functions/pow.hpp [4:7] + include/boost/math/special_functions/powm1.hpp [1:4] + include/boost/math/special_functions/sign.hpp [1:4] + include/boost/math/special_functions/trigamma.hpp [1:4] + include/boost/math/tools/fraction.hpp [1:4] + include/boost/math/tools/roots.hpp [1:4] + include/boost/math/tools/toms748_solve.hpp [1:4] + include/boost/math/tools/tuple.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL d9b034219784147e9de3ba70c9964f7f BELONGS ya.make @@ -1815,7 +1914,7 @@ BELONGS ya.make include/boost/math/cstdfloat/cstdfloat_iostream.hpp [2:6] include/boost/math/cstdfloat/cstdfloat_limits.hpp [2:6] include/boost/math/cstdfloat/cstdfloat_types.hpp [2:6] - include/boost/math/distributions/arcsine.hpp [3:4] + include/boost/math/distributions/arcsine.hpp [3:5] KEEP COPYRIGHT_SERVICE_LABEL df1e1917ea78d5c023a860126cce98fb BELONGS ya.make @@ -2019,12 +2118,13 @@ BELONGS ya.make // (C) Copyright John Maddock 2006. // (C) Copyright Johan Rade 2006. // (C) Copyright Paul A. Bristow 2011 (added changesign). + // (C) Copyright Matt Borland 2024 Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/sign.hpp [1:3] + include/boost/math/special_functions/sign.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL e96cb88f0e61b70a27c80d50f101304a BELONGS ya.make @@ -2043,6 +2143,39 @@ BELONGS ya.make include/boost/math/distributions/hypergeometric.hpp [1:3] include/boost/math/special_functions/prime.hpp [1:1] +KEEP COPYRIGHT_SERVICE_LABEL ed1f66aaed3ca7c8e37b076a711300de +BELONGS ya.make + License text: + // Copyright (c) 2007 John Maddock + // Copyright (c) 2024 Matt Borland + // Use, modification and distribution are subject to the + // Boost Software License, Version 1.0. (See accompanying file + Scancode info: + Original SPDX id: COPYRIGHT_SERVICE_LABEL + Score : 100.00 + Match type : COPYRIGHT + Files with this license: + include/boost/math/special_functions/cos_pi.hpp [1:4] + include/boost/math/special_functions/detail/bessel_i0.hpp [1:5] + include/boost/math/special_functions/detail/bessel_i1.hpp [1:4] + include/boost/math/special_functions/detail/bessel_ik.hpp [1:4] + include/boost/math/special_functions/detail/fp_traits.hpp [6:7] + include/boost/math/special_functions/ellint_1.hpp [1:5] + include/boost/math/special_functions/ellint_2.hpp [1:5] + include/boost/math/special_functions/ellint_d.hpp [1:5] + include/boost/math/special_functions/ellint_rc.hpp [1:4] + include/boost/math/special_functions/ellint_rd.hpp [1:4] + include/boost/math/special_functions/ellint_rf.hpp [1:4] + include/boost/math/special_functions/ellint_rj.hpp [1:4] + include/boost/math/special_functions/fpclassify.hpp [1:5] + include/boost/math/special_functions/heuman_lambda.hpp [1:4] + include/boost/math/special_functions/sin_pi.hpp [1:4] + include/boost/math/tools/array.hpp [1:3] + include/boost/math/tools/cstdint.hpp [1:3] + include/boost/math/tools/numeric_limits.hpp [1:3] + include/boost/math/tools/type_traits.hpp [1:3] + include/boost/math/tools/utility.hpp [1:3] + KEEP COPYRIGHT_SERVICE_LABEL ef37991a88747715e1ff7b3779b8d1a6 BELONGS ya.make License text: @@ -2080,18 +2213,14 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL f30d746d8ccdc43f8396322bb683a3c5 BELONGS ya.make - License text: - // Copyright (c) 2006 Xiaogang Zhang - // Copyright (c) 2006 John Maddock - // Use, modification and distribution are subject to the - // Boost Software License, Version 1.0. (See accompanying file + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/detail/bessel_i0.hpp [1:4] - include/boost/math/special_functions/detail/bessel_ik.hpp [1:3] + include/boost/math/special_functions/detail/bessel_i0.hpp [1:5] + include/boost/math/special_functions/detail/bessel_ik.hpp [1:4] include/boost/math/special_functions/detail/bessel_j0.hpp [1:3] include/boost/math/special_functions/detail/bessel_j1.hpp [1:3] include/boost/math/special_functions/detail/bessel_jn.hpp [1:3] @@ -2102,10 +2231,10 @@ BELONGS ya.make include/boost/math/special_functions/detail/bessel_y0.hpp [1:3] include/boost/math/special_functions/detail/bessel_y1.hpp [1:3] include/boost/math/special_functions/detail/bessel_yn.hpp [1:3] - include/boost/math/special_functions/ellint_1.hpp [1:4] - include/boost/math/special_functions/ellint_2.hpp [1:4] + include/boost/math/special_functions/ellint_1.hpp [1:5] + include/boost/math/special_functions/ellint_2.hpp [1:5] include/boost/math/special_functions/ellint_3.hpp [1:4] - include/boost/math/special_functions/ellint_d.hpp [1:4] + include/boost/math/special_functions/ellint_d.hpp [1:5] KEEP COPYRIGHT_SERVICE_LABEL f38ca055640371bbcd1b424bd86c7d04 BELONGS ya.make @@ -2113,12 +2242,13 @@ BELONGS ya.make // Copyright Thijs van den Berg, 2008. // Copyright John Maddock 2008. // Copyright Paul A. Bristow 2008, 2014. + // Copyright Matt Borland 2024. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/distributions/laplace.hpp [1:3] + include/boost/math/distributions/laplace.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL f4a325f0484c0bb7a3c17c3f81fb8c89 BELONGS ya.make @@ -2152,26 +2282,22 @@ BELONGS ya.make include/boost/math/interpolators/detail/cardinal_cubic_b_spline_detail.hpp [1:3] include/boost/math/interpolators/detail/cubic_b_spline_detail.hpp [1:3] include/boost/math/quadrature/detail/exp_sinh_detail.hpp [1:3] - include/boost/math/quadrature/detail/sinh_sinh_detail.hpp [1:3] + include/boost/math/quadrature/detail/sinh_sinh_detail.hpp [1:4] include/boost/math/quadrature/detail/tanh_sinh_detail.hpp [1:3] include/boost/math/quadrature/exp_sinh.hpp [1:3] - include/boost/math/quadrature/sinh_sinh.hpp [1:3] + include/boost/math/quadrature/sinh_sinh.hpp [1:4] include/boost/math/quadrature/tanh_sinh.hpp [1:3] include/boost/math/quadrature/trapezoidal.hpp [2:4] KEEP COPYRIGHT_SERVICE_LABEL f8d730bfd55763c6f923894ca911f166 BELONGS ya.make - License text: - // Copyright John Maddock 2006-7, 2013-20. - // Copyright Paul A. Bristow 2007, 2013-14. - // Copyright Nikhar Agrawal 2013-14 - // Copyright Christopher Kormanyos 2013-14, 2020, 2024 + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/gamma.hpp [1:4] + include/boost/math/special_functions/gamma.hpp [1:7] KEEP COPYRIGHT_SERVICE_LABEL fac2acbeb5b5ff0e22a994c8b805305c BELONGS ya.make @@ -2251,19 +2377,16 @@ BELONGS ya.make KEEP COPYRIGHT_SERVICE_LABEL ffb359d2e5030fecfe6707e998ce6117 BELONGS ya.make - License text: - // Copyright (c) 2006 Xiaogang Zhang, 2015 John Maddock - // Use, modification and distribution are subject to the - // Boost Software License, Version 1.0. (See accompanying file + Note: matched license text is too long. Read it in the source files. Scancode info: Original SPDX id: COPYRIGHT_SERVICE_LABEL Score : 100.00 Match type : COPYRIGHT Files with this license: - include/boost/math/special_functions/ellint_rc.hpp [1:3] - include/boost/math/special_functions/ellint_rd.hpp [1:3] - include/boost/math/special_functions/ellint_rf.hpp [1:3] - include/boost/math/special_functions/ellint_rj.hpp [1:3] + include/boost/math/special_functions/ellint_rc.hpp [1:4] + include/boost/math/special_functions/ellint_rd.hpp [1:4] + include/boost/math/special_functions/ellint_rf.hpp [1:4] + include/boost/math/special_functions/ellint_rj.hpp [1:4] KEEP COPYRIGHT_SERVICE_LABEL ffe09f50dfc31ebb85e7621230882e54 BELONGS ya.make diff --git a/contrib/restricted/boost/math/.yandex_meta/devtools.licenses.report b/contrib/restricted/boost/math/.yandex_meta/devtools.licenses.report index 4cbadf0022..c9819a45dd 100644 --- a/contrib/restricted/boost/math/.yandex_meta/devtools.licenses.report +++ b/contrib/restricted/boost/math/.yandex_meta/devtools.licenses.report @@ -78,7 +78,7 @@ BELONGS ya.make Match type : NOTICE Links : http://www.boost.org/LICENSE_1_0.txt, http://www.boost.org/users/license.html, https://spdx.org/licenses/BSL-1.0 Files with this license: - include/boost/math/special_functions/detail/fp_traits.hpp [8:10] + include/boost/math/special_functions/detail/fp_traits.hpp [9:11] include/boost/math/special_functions/nonfinite_num_facets.hpp [8:10] KEEP BSL-1.0 1f86bcce1bbfb6d9a7d6c733166e7bba @@ -148,34 +148,38 @@ BELONGS ya.make include/boost/math/concepts/real_concept.hpp [2:4] include/boost/math/concepts/real_type_concept.hpp [2:4] include/boost/math/concepts/std_real_concept.hpp [2:4] - include/boost/math/constants/constants.hpp [3:5] + include/boost/math/constants/constants.hpp [4:6] include/boost/math/constants/info.hpp [2:4] include/boost/math/differentiation/finite_difference.hpp [2:4] include/boost/math/differentiation/lanczos_smoothing.hpp [2:4] include/boost/math/distributions.hpp [4:6] - include/boost/math/distributions/cauchy.hpp [4:6] - include/boost/math/distributions/complement.hpp [3:5] - include/boost/math/distributions/detail/derived_accessors.hpp [2:4] + include/boost/math/distributions/cauchy.hpp [5:7] + include/boost/math/distributions/complement.hpp [4:6] + include/boost/math/distributions/detail/derived_accessors.hpp [3:5] include/boost/math/distributions/detail/generic_quantile.hpp [2:4] include/boost/math/distributions/detail/inv_discrete_quantile.hpp [2:4] include/boost/math/distributions/empirical_cumulative_distribution_function.hpp [2:4] - include/boost/math/distributions/exponential.hpp [2:4] - include/boost/math/distributions/extreme_value.hpp [2:4] + include/boost/math/distributions/exponential.hpp [3:5] + include/boost/math/distributions/extreme_value.hpp [3:5] include/boost/math/distributions/find_location.hpp [4:6] include/boost/math/distributions/find_scale.hpp [4:6] - include/boost/math/distributions/gamma.hpp [2:4] + include/boost/math/distributions/gamma.hpp [3:5] + include/boost/math/distributions/holtsmark.hpp [3:5] include/boost/math/distributions/hyperexponential.hpp [3:5] - include/boost/math/distributions/inverse_gamma.hpp [5:7] + include/boost/math/distributions/inverse_gamma.hpp [6:8] include/boost/math/distributions/inverse_gaussian.hpp [4:6] - include/boost/math/distributions/laplace.hpp [5:7] - include/boost/math/distributions/lognormal.hpp [2:4] + include/boost/math/distributions/landau.hpp [3:5] + include/boost/math/distributions/laplace.hpp [6:8] + include/boost/math/distributions/lognormal.hpp [3:5] + include/boost/math/distributions/mapairy.hpp [3:5] include/boost/math/distributions/normal.hpp [4:6] include/boost/math/distributions/pareto.hpp [4:6] include/boost/math/distributions/rayleigh.hpp [3:5] + include/boost/math/distributions/saspoint5.hpp [3:5] include/boost/math/distributions/skew_normal.hpp [3:5] include/boost/math/distributions/triangular.hpp [3:5] - include/boost/math/distributions/uniform.hpp [3:5] - include/boost/math/distributions/weibull.hpp [2:4] + include/boost/math/distributions/uniform.hpp [4:6] + include/boost/math/distributions/weibull.hpp [3:5] include/boost/math/interpolators/cardinal_trigonometric.hpp [2:4] include/boost/math/interpolators/detail/cardinal_trigonometric_detail.hpp [2:4] include/boost/math/policies/error_handling.hpp [4:6] @@ -185,18 +189,18 @@ BELONGS ya.make include/boost/math/special_functions.hpp [4:6] include/boost/math/special_functions/bessel.hpp [3:5] include/boost/math/special_functions/bessel_prime.hpp [2:4] - include/boost/math/special_functions/beta.hpp [2:4] + include/boost/math/special_functions/beta.hpp [3:5] include/boost/math/special_functions/binomial.hpp [2:4] include/boost/math/special_functions/cardinal_b_spline.hpp [2:4] - include/boost/math/special_functions/cbrt.hpp [2:4] + include/boost/math/special_functions/cbrt.hpp [3:5] include/boost/math/special_functions/chebyshev.hpp [2:4] include/boost/math/special_functions/chebyshev_transform.hpp [2:4] - include/boost/math/special_functions/cos_pi.hpp [2:4] + include/boost/math/special_functions/cos_pi.hpp [3:5] include/boost/math/special_functions/detail/airy_ai_bi_zero.hpp [2:4] include/boost/math/special_functions/detail/bessel_derivatives_linear.hpp [2:4] - include/boost/math/special_functions/detail/bessel_i0.hpp [3:5] - include/boost/math/special_functions/detail/bessel_i1.hpp [2:4] - include/boost/math/special_functions/detail/bessel_ik.hpp [2:4] + include/boost/math/special_functions/detail/bessel_i0.hpp [4:6] + include/boost/math/special_functions/detail/bessel_i1.hpp [3:5] + include/boost/math/special_functions/detail/bessel_ik.hpp [3:5] include/boost/math/special_functions/detail/bessel_j0.hpp [2:4] include/boost/math/special_functions/detail/bessel_j1.hpp [2:4] include/boost/math/special_functions/detail/bessel_jn.hpp [2:4] @@ -212,35 +216,35 @@ BELONGS ya.make include/boost/math/special_functions/detail/bessel_y0.hpp [2:4] include/boost/math/special_functions/detail/bessel_y1.hpp [2:4] include/boost/math/special_functions/detail/bessel_yn.hpp [2:4] - include/boost/math/special_functions/detail/erf_inv.hpp [2:4] - include/boost/math/special_functions/detail/gamma_inva.hpp [2:4] + include/boost/math/special_functions/detail/erf_inv.hpp [3:5] + include/boost/math/special_functions/detail/gamma_inva.hpp [3:5] include/boost/math/special_functions/detail/ibeta_inv_ab.hpp [2:4] include/boost/math/special_functions/detail/ibeta_inverse.hpp [3:5] include/boost/math/special_functions/detail/iconv.hpp [2:4] - include/boost/math/special_functions/detail/igamma_inverse.hpp [2:4] - include/boost/math/special_functions/detail/igamma_large.hpp [2:4] - include/boost/math/special_functions/detail/lgamma_small.hpp [2:4] + include/boost/math/special_functions/detail/igamma_inverse.hpp [3:5] + include/boost/math/special_functions/detail/igamma_large.hpp [3:5] + include/boost/math/special_functions/detail/lgamma_small.hpp [3:5] include/boost/math/special_functions/detail/t_distribution_inv.hpp [3:5] include/boost/math/special_functions/detail/unchecked_factorial.hpp [2:4] - include/boost/math/special_functions/digamma.hpp [2:4] - include/boost/math/special_functions/ellint_1.hpp [3:5] - include/boost/math/special_functions/ellint_2.hpp [3:5] + include/boost/math/special_functions/digamma.hpp [3:5] + include/boost/math/special_functions/ellint_1.hpp [4:6] + include/boost/math/special_functions/ellint_2.hpp [4:6] include/boost/math/special_functions/ellint_3.hpp [3:5] - include/boost/math/special_functions/ellint_d.hpp [3:5] - include/boost/math/special_functions/ellint_rc.hpp [2:4] - include/boost/math/special_functions/ellint_rd.hpp [2:4] - include/boost/math/special_functions/ellint_rf.hpp [2:4] + include/boost/math/special_functions/ellint_d.hpp [4:6] + include/boost/math/special_functions/ellint_rc.hpp [3:5] + include/boost/math/special_functions/ellint_rd.hpp [3:5] + include/boost/math/special_functions/ellint_rf.hpp [3:5] include/boost/math/special_functions/ellint_rg.hpp [2:4] - include/boost/math/special_functions/ellint_rj.hpp [2:4] - include/boost/math/special_functions/erf.hpp [2:4] - include/boost/math/special_functions/expint.hpp [2:4] - include/boost/math/special_functions/expm1.hpp [2:4] + include/boost/math/special_functions/ellint_rj.hpp [3:5] + include/boost/math/special_functions/erf.hpp [3:5] + include/boost/math/special_functions/expint.hpp [3:5] + include/boost/math/special_functions/expm1.hpp [3:5] include/boost/math/special_functions/factorials.hpp [2:4] - include/boost/math/special_functions/fpclassify.hpp [3:5] + include/boost/math/special_functions/fpclassify.hpp [4:6] include/boost/math/special_functions/gamma.hpp [6:8] - include/boost/math/special_functions/gegenbauer.hpp [2:4] - include/boost/math/special_functions/hermite.hpp [3:5] - include/boost/math/special_functions/heuman_lambda.hpp [2:4] + include/boost/math/special_functions/gegenbauer.hpp [3:5] + include/boost/math/special_functions/hermite.hpp [4:6] + include/boost/math/special_functions/heuman_lambda.hpp [3:5] include/boost/math/special_functions/hypot.hpp [2:4] include/boost/math/special_functions/jacobi.hpp [2:4] include/boost/math/special_functions/jacobi_zeta.hpp [2:4] @@ -250,17 +254,17 @@ BELONGS ya.make include/boost/math/special_functions/log1p.hpp [2:4] include/boost/math/special_functions/logaddexp.hpp [2:4] include/boost/math/special_functions/logsumexp.hpp [2:4] - include/boost/math/special_functions/modf.hpp [2:4] + include/boost/math/special_functions/modf.hpp [3:5] include/boost/math/special_functions/owens_t.hpp [3:5] - include/boost/math/special_functions/powm1.hpp [2:4] + include/boost/math/special_functions/powm1.hpp [3:5] include/boost/math/special_functions/relative_difference.hpp [2:4] include/boost/math/special_functions/round.hpp [3:5] include/boost/math/special_functions/rsqrt.hpp [2:4] - include/boost/math/special_functions/sign.hpp [5:7] - include/boost/math/special_functions/sin_pi.hpp [2:4] + include/boost/math/special_functions/sign.hpp [6:8] + include/boost/math/special_functions/sin_pi.hpp [3:5] include/boost/math/special_functions/spherical_harmonic.hpp [3:5] include/boost/math/special_functions/sqrt1pm1.hpp [2:4] - include/boost/math/special_functions/trigamma.hpp [2:4] + include/boost/math/special_functions/trigamma.hpp [3:5] include/boost/math/special_functions/trunc.hpp [3:5] include/boost/math/special_functions/ulp.hpp [2:4] include/boost/math/statistics/bivariate_statistics.hpp [3:5] @@ -273,6 +277,7 @@ BELONGS ya.make include/boost/math/statistics/univariate_statistics.hpp [3:5] include/boost/math/statistics/z_test.hpp [2:4] include/boost/math/tools/agm.hpp [2:4] + include/boost/math/tools/array.hpp [2:4] include/boost/math/tools/assert.hpp [2:4] include/boost/math/tools/bivariate_statistics.hpp [2:4] include/boost/math/tools/centered_continued_fraction.hpp [2:4] @@ -283,6 +288,7 @@ BELONGS ya.make include/boost/math/tools/condition_numbers.hpp [2:4] include/boost/math/tools/config.hpp [3:5] include/boost/math/tools/convert_from_string.hpp [3:5] + include/boost/math/tools/cstdint.hpp [2:4] include/boost/math/tools/cubic_roots.hpp [2:4] include/boost/math/tools/cxx03_warn.hpp [2:4] include/boost/math/tools/detail/is_const_iterable.hpp [2:4] @@ -380,7 +386,7 @@ BELONGS ya.make include/boost/math/tools/detail/rational_horner3_8.hpp [2:4] include/boost/math/tools/detail/rational_horner3_9.hpp [2:4] include/boost/math/tools/engel_expansion.hpp [2:4] - include/boost/math/tools/fraction.hpp [2:4] + include/boost/math/tools/fraction.hpp [3:5] include/boost/math/tools/header_deprecated.hpp [2:4] include/boost/math/tools/is_constant_evaluated.hpp [2:4] include/boost/math/tools/is_detected.hpp [2:4] @@ -390,6 +396,7 @@ BELONGS ya.make include/boost/math/tools/mp.hpp [3:5] include/boost/math/tools/norms.hpp [2:4] include/boost/math/tools/nothrow.hpp [2:4] + include/boost/math/tools/numeric_limits.hpp [2:4] include/boost/math/tools/numerical_differentiation.hpp [2:4] include/boost/math/tools/polynomial.hpp [5:7] include/boost/math/tools/polynomial_gcd.hpp [3:5] @@ -399,17 +406,19 @@ BELONGS ya.make include/boost/math/tools/rational.hpp [2:4] include/boost/math/tools/real_cast.hpp [2:4] include/boost/math/tools/recurrence.hpp [2:4] - include/boost/math/tools/roots.hpp [2:4] + include/boost/math/tools/roots.hpp [3:5] include/boost/math/tools/series.hpp [2:4] include/boost/math/tools/signal_statistics.hpp [2:4] include/boost/math/tools/simple_continued_fraction.hpp [2:4] include/boost/math/tools/stats.hpp [2:4] include/boost/math/tools/throw_exception.hpp [2:4] - include/boost/math/tools/toms748_solve.hpp [2:4] + include/boost/math/tools/toms748_solve.hpp [3:5] include/boost/math/tools/traits.hpp [3:5] - include/boost/math/tools/tuple.hpp [2:4] + include/boost/math/tools/tuple.hpp [3:5] + include/boost/math/tools/type_traits.hpp [2:4] include/boost/math/tools/ulps_plot.hpp [2:4] include/boost/math/tools/univariate_statistics.hpp [2:4] + include/boost/math/tools/utility.hpp [2:4] include/boost/math/tools/workaround.hpp [2:4] KEEP BSL-1.0 267bc4e38676657a4d90f57e3323ff7c @@ -589,7 +598,7 @@ BELONGS ya.make Links : http://www.boost.org/LICENSE_1_0.txt, http://www.boost.org/users/license.html, https://spdx.org/licenses/BSL-1.0 Files with this license: include/boost/math/quadrature/detail/exp_sinh_detail.hpp [2:5] - include/boost/math/quadrature/detail/sinh_sinh_detail.hpp [2:5] + include/boost/math/quadrature/detail/sinh_sinh_detail.hpp [3:6] include/boost/math/quadrature/detail/tanh_sinh_detail.hpp [2:5] KEEP BSL-1.0 88c4d29e0aacbf465a938844cbc5d047 @@ -605,12 +614,12 @@ BELONGS ya.make Match type : NOTICE Links : http://www.boost.org/LICENSE_1_0.txt, http://www.boost.org/users/license.html, https://spdx.org/licenses/BSL-1.0 Files with this license: - include/boost/math/distributions/arcsine.hpp [6:9] - include/boost/math/distributions/bernoulli.hpp [6:9] + include/boost/math/distributions/arcsine.hpp [7:10] + include/boost/math/distributions/bernoulli.hpp [7:10] include/boost/math/distributions/beta.hpp [7:10] include/boost/math/distributions/binomial.hpp [6:9] include/boost/math/distributions/chi_squared.hpp [4:7] - include/boost/math/distributions/detail/common_error_handling.hpp [4:7] + include/boost/math/distributions/detail/common_error_handling.hpp [5:8] include/boost/math/distributions/detail/generic_mode.hpp [3:6] include/boost/math/distributions/detail/hypergeometric_cdf.hpp [3:6] include/boost/math/distributions/detail/hypergeometric_pdf.hpp [4:7] @@ -626,7 +635,7 @@ BELONGS ya.make include/boost/math/distributions/non_central_chi_squared.hpp [5:8] include/boost/math/distributions/non_central_f.hpp [5:8] include/boost/math/distributions/non_central_t.hpp [5:8] - include/boost/math/distributions/poisson.hpp [6:9] + include/boost/math/distributions/poisson.hpp [7:10] include/boost/math/interpolators/bezier_polynomial.hpp [2:5] include/boost/math/interpolators/bilinear_uniform.hpp [2:5] include/boost/math/interpolators/cardinal_cubic_b_spline.hpp [2:5] @@ -649,17 +658,17 @@ BELONGS ya.make include/boost/math/quadrature/detail/ooura_fourier_integrals_detail.hpp [2:5] include/boost/math/quadrature/exp_sinh.hpp [2:5] include/boost/math/quadrature/ooura_fourier_integrals.hpp [2:5] - include/boost/math/quadrature/sinh_sinh.hpp [2:5] + include/boost/math/quadrature/sinh_sinh.hpp [3:6] include/boost/math/quadrature/tanh_sinh.hpp [2:5] - include/boost/math/special_functions/airy.hpp [2:5] - include/boost/math/special_functions/detail/round_fwd.hpp [3:6] + include/boost/math/special_functions/airy.hpp [3:6] + include/boost/math/special_functions/detail/round_fwd.hpp [4:7] include/boost/math/special_functions/fibonacci.hpp [3:6] - include/boost/math/special_functions/hankel.hpp [2:5] + include/boost/math/special_functions/hankel.hpp [3:6] include/boost/math/special_functions/jacobi_elliptic.hpp [2:5] include/boost/math/special_functions/legendre_stieltjes.hpp [2:5] - include/boost/math/special_functions/math_fwd.hpp [8:11] + include/boost/math/special_functions/math_fwd.hpp [9:12] include/boost/math/special_functions/prime.hpp [3:6] - include/boost/math/tools/promotion.hpp [7:10] + include/boost/math/tools/promotion.hpp [8:11] include/boost/math/tools/test_value.hpp [4:7] include/boost/math/tools/user.hpp [4:7] @@ -701,7 +710,7 @@ BELONGS ya.make Match type : NOTICE Links : http://www.boost.org/LICENSE_1_0.txt, http://www.boost.org/users/license.html, https://spdx.org/licenses/BSL-1.0 Files with this license: - include/boost/math/special_functions/pow.hpp [5:9] + include/boost/math/special_functions/pow.hpp [6:10] KEEP BSL-1.0 b9e77f2981c6cafae2eab017ce81bb09 BELONGS ya.make diff --git a/contrib/restricted/boost/math/.yandex_meta/licenses.list.txt b/contrib/restricted/boost/math/.yandex_meta/licenses.list.txt index 29174b56d8..e8744f0f0b 100644 --- a/contrib/restricted/boost/math/.yandex_meta/licenses.list.txt +++ b/contrib/restricted/boost/math/.yandex_meta/licenses.list.txt @@ -189,6 +189,7 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== // (C) Copyright Bruno Lalande 2008. +// (C) Copyright Matt Borland 2024. // Distributed under the Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt or copy at @@ -279,11 +280,13 @@ DEALINGS IN THE SOFTWARE. // (C) Copyright John Maddock 2006. // (C) Copyright Johan Rade 2006. // (C) Copyright Paul A. Bristow 2011 (added changesign). +// (C) Copyright Matt Borland 2024 ====================COPYRIGHT==================== // (C) Copyright John Maddock 2006. // (C) Copyright Paul A. Bristow 2006. +// (C) Copyright Matt Borland 2024 // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file @@ -303,6 +306,7 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== // (C) Copyright John Maddock 2010. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file @@ -397,6 +401,7 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== // Copyright (c) 2006 Xiaogang Zhang // Copyright (c) 2006 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file @@ -404,12 +409,14 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== // Copyright (c) 2006 Xiaogang Zhang // Copyright (c) 2017 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file ====================COPYRIGHT==================== // Copyright (c) 2006 Xiaogang Zhang, 2015 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file @@ -423,6 +430,7 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== // Copyright (c) 2007 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file @@ -517,6 +525,7 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== // Copyright John Maddock 2005-2006, 2011. // Copyright Paul A. Bristow 2006-2011. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file @@ -530,6 +539,7 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== // Copyright John Maddock 2005-2008. // Copyright (c) 2006-2008 Johan Rade +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file @@ -547,6 +557,9 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== // Copyright John Maddock 2006, 2007. // Copyright Paul A. Bristow 2006, 2007. +// Copyright Matt Borland 2024. +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file ====================COPYRIGHT==================== @@ -560,12 +573,18 @@ DEALINGS IN THE SOFTWARE. // Copyright Paul A. Bristow 2007, 2013-14. // Copyright Nikhar Agrawal 2013-14 // Copyright Christopher Kormanyos 2013-14, 2020, 2024 +// Copyright Matt Borland 2024. +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file ====================COPYRIGHT==================== // Copyright John Maddock 2006. // Copyright Paul A. Bristow 2006, 2012, 2017. // Copyright Thomas Mang 2012. +// Copyright Matt Borland 2024. +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file ====================COPYRIGHT==================== @@ -670,13 +689,22 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== +// Copyright Takuma Yoshimura 2024. +// Copyright Matt Borland 2024. +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file + + +====================COPYRIGHT==================== // Copyright Thijs van den Berg, 2008. // Copyright John Maddock 2008. // Copyright Paul A. Bristow 2008, 2014. +// Copyright Matt Borland 2024. ====================COPYRIGHT==================== // Copyright (c) 2006 Johan Rade +// Copyright (c) 2024 Matt Borland ====================COPYRIGHT==================== @@ -692,6 +720,13 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== +// Copyright 2008 Gautam Sewani +// Copyright 2024 Matt Borland +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. + + +====================COPYRIGHT==================== // Copyright 2020, Madhur Chauhan @@ -720,7 +755,15 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== // Copyright John Maddock 2006. +// Copyright Paul A. Bristow 2006. +// Copyright Matt Borland 2023. +// Copyright Ryan Elandt 2023. + + +====================COPYRIGHT==================== +// Copyright John Maddock 2006. // Copyright Paul A. Bristow 2007. +// Copyright Matt Borland 2024. ====================COPYRIGHT==================== @@ -730,6 +773,7 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== // Copyright John Maddock 2012. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. @@ -737,6 +781,7 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== // Copyright John Maddock 2014. // Copyright Paul A. Bristow 2014. +// Copyright Matt Borland 2024. ====================COPYRIGHT==================== @@ -746,6 +791,13 @@ DEALINGS IN THE SOFTWARE. ====================COPYRIGHT==================== +// Copyright Nick Thompson, 2017 +// Copyright Matt Borland, 2024 +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. + + +====================COPYRIGHT==================== // Copyright Nick Thompson, 2019 // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. diff --git a/contrib/restricted/boost/math/include/boost/math/ccmath/copysign.hpp b/contrib/restricted/boost/math/include/boost/math/ccmath/copysign.hpp index 90a58102b1..e117e57faa 100644 --- a/contrib/restricted/boost/math/include/boost/math/ccmath/copysign.hpp +++ b/contrib/restricted/boost/math/include/boost/math/ccmath/copysign.hpp @@ -54,7 +54,7 @@ constexpr auto copysign(T1 mag, T2 sgn) noexcept { if (BOOST_MATH_IS_CONSTANT_EVALUATED(mag)) { - using promoted_type = boost::math::tools::promote_args_2_t<T1, T2>; + using promoted_type = boost::math::tools::promote_args_t<T1, T2>; return boost::math::ccmath::copysign(static_cast<promoted_type>(mag), static_cast<promoted_type>(sgn)); } else diff --git a/contrib/restricted/boost/math/include/boost/math/ccmath/fdim.hpp b/contrib/restricted/boost/math/include/boost/math/ccmath/fdim.hpp index cdcbc223c6..d6b4e25cec 100644 --- a/contrib/restricted/boost/math/include/boost/math/ccmath/fdim.hpp +++ b/contrib/restricted/boost/math/include/boost/math/ccmath/fdim.hpp @@ -66,7 +66,7 @@ constexpr auto fdim(T1 x, T2 y) noexcept { if (BOOST_MATH_IS_CONSTANT_EVALUATED(x)) { - using promoted_type = boost::math::tools::promote_args_2_t<T1, T2>; + using promoted_type = boost::math::tools::promote_args_t<T1, T2>; return boost::math::ccmath::fdim(promoted_type(x), promoted_type(y)); } else diff --git a/contrib/restricted/boost/math/include/boost/math/ccmath/fmax.hpp b/contrib/restricted/boost/math/include/boost/math/ccmath/fmax.hpp index 237355275b..8a0d17d03e 100644 --- a/contrib/restricted/boost/math/include/boost/math/ccmath/fmax.hpp +++ b/contrib/restricted/boost/math/include/boost/math/ccmath/fmax.hpp @@ -62,7 +62,7 @@ constexpr auto fmax(T1 x, T2 y) noexcept { if (BOOST_MATH_IS_CONSTANT_EVALUATED(x)) { - using promoted_type = boost::math::tools::promote_args_2_t<T1, T2>; + using promoted_type = boost::math::tools::promote_args_t<T1, T2>; return boost::math::ccmath::fmax(static_cast<promoted_type>(x), static_cast<promoted_type>(y)); } else diff --git a/contrib/restricted/boost/math/include/boost/math/ccmath/fmin.hpp b/contrib/restricted/boost/math/include/boost/math/ccmath/fmin.hpp index 1c113e0d6e..29885b69c8 100644 --- a/contrib/restricted/boost/math/include/boost/math/ccmath/fmin.hpp +++ b/contrib/restricted/boost/math/include/boost/math/ccmath/fmin.hpp @@ -62,7 +62,7 @@ constexpr auto fmin(T1 x, T2 y) noexcept { if (BOOST_MATH_IS_CONSTANT_EVALUATED(x)) { - using promoted_type = boost::math::tools::promote_args_2_t<T1, T2>; + using promoted_type = boost::math::tools::promote_args_t<T1, T2>; return boost::math::ccmath::fmin(static_cast<promoted_type>(x), static_cast<promoted_type>(y)); } else diff --git a/contrib/restricted/boost/math/include/boost/math/ccmath/hypot.hpp b/contrib/restricted/boost/math/include/boost/math/ccmath/hypot.hpp index 4e0e245b4e..34dd5ab2c0 100644 --- a/contrib/restricted/boost/math/include/boost/math/ccmath/hypot.hpp +++ b/contrib/restricted/boost/math/include/boost/math/ccmath/hypot.hpp @@ -89,7 +89,7 @@ constexpr auto hypot(T1 x, T2 y) noexcept { if(BOOST_MATH_IS_CONSTANT_EVALUATED(x)) { - using promoted_type = boost::math::tools::promote_args_2_t<T1, T2>; + using promoted_type = boost::math::tools::promote_args_t<T1, T2>; return boost::math::ccmath::hypot(static_cast<promoted_type>(x), static_cast<promoted_type>(y)); } else diff --git a/contrib/restricted/boost/math/include/boost/math/ccmath/isinf.hpp b/contrib/restricted/boost/math/include/boost/math/ccmath/isinf.hpp index f1e00e34f5..ecf0d620ab 100644 --- a/contrib/restricted/boost/math/include/boost/math/ccmath/isinf.hpp +++ b/contrib/restricted/boost/math/include/boost/math/ccmath/isinf.hpp @@ -22,7 +22,14 @@ constexpr bool isinf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) noexcept { if constexpr (std::numeric_limits<T>::is_signed) { +#if defined(__clang_major__) && __clang_major__ >= 6 +#pragma clang diagnostic push +#pragma clang diagnostic ignored "-Wtautological-constant-compare" +#endif return x == std::numeric_limits<T>::infinity() || -x == std::numeric_limits<T>::infinity(); +#if defined(__clang_major__) && __clang_major__ >= 6 +#pragma clang diagnostic pop +#endif } else { @@ -32,7 +39,7 @@ constexpr bool isinf BOOST_MATH_PREVENT_MACRO_SUBSTITUTION(T x) noexcept else { using boost::math::isinf; - + if constexpr (!std::is_integral_v<T>) { return (isinf)(x); diff --git a/contrib/restricted/boost/math/include/boost/math/concepts/std_real_concept.hpp b/contrib/restricted/boost/math/include/boost/math/concepts/std_real_concept.hpp index f77935c7fb..43f562efe1 100644 --- a/contrib/restricted/boost/math/include/boost/math/concepts/std_real_concept.hpp +++ b/contrib/restricted/boost/math/include/boost/math/concepts/std_real_concept.hpp @@ -229,19 +229,22 @@ inline boost::math::concepts::std_real_concept (nextafter)(boost::math::concepts { return (boost::math::nextafter)(a, b); } // // C++11 ism's -// Note that these must not actually call the std:: versions as that precludes using this -// header to test in C++03 mode, call the Boost versions instead: +// Now that we only support C++11 and later, we can allow use of these: // inline boost::math::concepts::std_real_concept asinh(boost::math::concepts::std_real_concept a) -{ return boost::math::asinh(a.value(), boost::math::policies::make_policy(boost::math::policies::overflow_error<boost::math::policies::ignore_error>())); } +{ return std::asinh(a.value()); } inline boost::math::concepts::std_real_concept acosh(boost::math::concepts::std_real_concept a) -{ return boost::math::acosh(a.value(), boost::math::policies::make_policy(boost::math::policies::overflow_error<boost::math::policies::ignore_error>())); } +{ return std::acosh(a.value()); } inline boost::math::concepts::std_real_concept atanh(boost::math::concepts::std_real_concept a) -{ return boost::math::atanh(a.value(), boost::math::policies::make_policy(boost::math::policies::overflow_error<boost::math::policies::ignore_error>())); } +{ return std::atanh(a.value()); } inline bool (isfinite)(boost::math::concepts::std_real_concept a) { return (boost::math::isfinite)(a.value()); } +inline boost::math::concepts::std_real_concept log2(boost::math::concepts::std_real_concept a) +{ return std::log2(a.value()); } +inline int ilogb(boost::math::concepts::std_real_concept a) +{ return std::ilogb(a.value()); } } // namespace std diff --git a/contrib/restricted/boost/math/include/boost/math/constants/constants.hpp b/contrib/restricted/boost/math/include/boost/math/constants/constants.hpp index 4bf81c61d1..df702bf899 100644 --- a/contrib/restricted/boost/math/include/boost/math/constants/constants.hpp +++ b/contrib/restricted/boost/math/include/boost/math/constants/constants.hpp @@ -1,5 +1,6 @@ // Copyright John Maddock 2005-2006, 2011. // Copyright Paul A. Bristow 2006-2011. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -8,6 +9,9 @@ #define BOOST_MATH_CONSTANTS_CONSTANTS_INCLUDED #include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <boost/math/tools/cxx03_warn.hpp> #include <boost/math/policies/policy.hpp> #include <boost/math/tools/precision.hpp> @@ -209,11 +213,11 @@ namespace boost{ namespace math constant_initializer<T, & BOOST_MATH_JOIN(constant_, name)<T>::get_from_string >::force_instantiate();\ return get_from_string();\ }\ - static inline constexpr T get(const std::integral_constant<int, construct_from_float>) noexcept\ + BOOST_MATH_GPU_ENABLED static inline constexpr T get(const std::integral_constant<int, construct_from_float>) noexcept\ { return BOOST_MATH_JOIN(x, F); }\ - static inline constexpr T get(const std::integral_constant<int, construct_from_double>&) noexcept\ + BOOST_MATH_GPU_ENABLED static inline constexpr T get(const std::integral_constant<int, construct_from_double>&) noexcept\ { return x; }\ - static inline constexpr T get(const std::integral_constant<int, construct_from_long_double>&) noexcept\ + BOOST_MATH_GPU_ENABLED static inline constexpr T get(const std::integral_constant<int, construct_from_long_double>&) noexcept\ { return BOOST_MATH_JOIN(x, L); }\ BOOST_MATH_FLOAT128_CONSTANT_OVERLOAD(x) \ template <int N> static inline const T& get(const std::integral_constant<int, N>&)\ @@ -231,9 +235,9 @@ namespace boost{ namespace math \ \ /* The actual forwarding function: */ \ - template <typename T, typename Policy> inline constexpr typename detail::constant_return<T, Policy>::type name(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T) BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(Policy)) BOOST_MATH_NOEXCEPT(T)\ + template <typename T, typename Policy> BOOST_MATH_GPU_ENABLED inline constexpr typename detail::constant_return<T, Policy>::type name(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T) BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(Policy)) BOOST_MATH_NOEXCEPT(T)\ { return detail:: BOOST_MATH_JOIN(constant_, name)<T>::get(typename construction_traits<T, Policy>::type()); }\ - template <typename T> inline constexpr typename detail::constant_return<T>::type name(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T)) BOOST_MATH_NOEXCEPT(T)\ + template <typename T> BOOST_MATH_GPU_ENABLED inline constexpr typename detail::constant_return<T>::type name(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T)) BOOST_MATH_NOEXCEPT(T)\ { return name<T, boost::math::policies::policy<> >(); }\ \ \ @@ -243,6 +247,16 @@ namespace boost{ namespace math namespace long_double_constants{ static constexpr long double name = BOOST_MATH_JOIN(x, L); }\ namespace constants{ +#else // NVRTC simplified macro definition + +#define BOOST_DEFINE_MATH_CONSTANT(name, value, str_value) template <typename T> BOOST_MATH_GPU_ENABLED constexpr T name() noexcept { return static_cast<T>(value); } + +namespace boost { +namespace math { +namespace constants { + +#endif + BOOST_DEFINE_MATH_CONSTANT(half, 5.000000000000000000000000000000000000e-01, "5.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000e-01") BOOST_DEFINE_MATH_CONSTANT(third, 3.333333333333333333333333333333333333e-01, "3.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333e-01") BOOST_DEFINE_MATH_CONSTANT(twothirds, 6.666666666666666666666666666666666666e-01, "6.66666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667e-01") @@ -318,17 +332,15 @@ namespace boost{ namespace math BOOST_DEFINE_MATH_CONSTANT(one_div_pi, 0.3183098861837906715377675267450287240689192, "0.31830988618379067153776752674502872406891929148091289749533468811779359526845307018022760553250617191214568545351") BOOST_DEFINE_MATH_CONSTANT(two_div_root_pi, 1.12837916709551257389615890312154517168810125, "1.12837916709551257389615890312154517168810125865799771368817144342128493688298682897348732040421472688605669581272") -#if __cplusplus >= 201103L || (defined(_MSC_VER) && _MSC_VER >= 1900) BOOST_DEFINE_MATH_CONSTANT(first_feigenbaum, 4.66920160910299067185320382046620161725818557747576863274, "4.6692016091029906718532038204662016172581855774757686327456513430041343302113147371386897440239480138171") BOOST_DEFINE_MATH_CONSTANT(plastic, 1.324717957244746025960908854478097340734404056901733364534, "1.32471795724474602596090885447809734073440405690173336453401505030282785124554759405469934798178728032991") BOOST_DEFINE_MATH_CONSTANT(gauss, 0.834626841674073186281429732799046808993993013490347002449, "0.83462684167407318628142973279904680899399301349034700244982737010368199270952641186969116035127532412906785") BOOST_DEFINE_MATH_CONSTANT(dottie, 0.739085133215160641655312087673873404013411758900757464965, "0.739085133215160641655312087673873404013411758900757464965680635773284654883547594599376106931766531849801246") BOOST_DEFINE_MATH_CONSTANT(reciprocal_fibonacci, 3.35988566624317755317201130291892717968890513, "3.35988566624317755317201130291892717968890513373196848649555381532513031899668338361541621645679008729704") BOOST_DEFINE_MATH_CONSTANT(laplace_limit, 0.662743419349181580974742097109252907056233549115022417, "0.66274341934918158097474209710925290705623354911502241752039253499097185308651127724965480259895818168") -#endif template <typename T> -inline constexpr T tau() { return two_pi<T>(); } +BOOST_MATH_GPU_ENABLED inline constexpr T tau() { return two_pi<T>(); } } // namespace constants } // namespace math @@ -338,7 +350,11 @@ inline constexpr T tau() { return two_pi<T>(); } // We deliberately include this *after* all the declarations above, // that way the calculation routines can call on other constants above: // +// NVRTC will not have a type that needs runtime calculation +// +#ifndef BOOST_MATH_HAS_NVRTC #include <boost/math/constants/calculate_constants.hpp> +#endif #endif // BOOST_MATH_CONSTANTS_CONSTANTS_INCLUDED diff --git a/contrib/restricted/boost/math/include/boost/math/differentiation/autodiff.hpp b/contrib/restricted/boost/math/include/boost/math/differentiation/autodiff.hpp index 7a57aa2f92..b8880f24de 100644 --- a/contrib/restricted/boost/math/include/boost/math/differentiation/autodiff.hpp +++ b/contrib/restricted/boost/math/include/boost/math/differentiation/autodiff.hpp @@ -39,7 +39,7 @@ namespace detail { template <typename RealType, typename... RealTypes> struct promote_args_n { - using type = typename tools::promote_args_2<RealType, typename promote_args_n<RealTypes...>::type>::type; + using type = typename tools::promote_args<RealType, typename promote_args_n<RealTypes...>::type>::type; }; template <typename RealType> @@ -2002,9 +2002,9 @@ using autodiff_root_type = typename autodiff_fvar_type<RealType, Order>::root_ty // See boost/math/tools/promotion.hpp template <typename RealType0, size_t Order0, typename RealType1, size_t Order1> -struct promote_args_2<detail::autodiff_fvar_type<RealType0, Order0>, +struct promote_args<detail::autodiff_fvar_type<RealType0, Order0>, detail::autodiff_fvar_type<RealType1, Order1>> { - using type = detail::autodiff_fvar_type<typename promote_args_2<RealType0, RealType1>::type, + using type = detail::autodiff_fvar_type<typename promote_args<RealType0, RealType1>::type, #ifndef BOOST_MATH_NO_CXX14_CONSTEXPR (std::max)(Order0, Order1)>; #else @@ -2018,13 +2018,13 @@ struct promote_args<detail::autodiff_fvar_type<RealType, Order>> { }; template <typename RealType0, size_t Order0, typename RealType1> -struct promote_args_2<detail::autodiff_fvar_type<RealType0, Order0>, RealType1> { - using type = detail::autodiff_fvar_type<typename promote_args_2<RealType0, RealType1>::type, Order0>; +struct promote_args<detail::autodiff_fvar_type<RealType0, Order0>, RealType1> { + using type = detail::autodiff_fvar_type<typename promote_args<RealType0, RealType1>::type, Order0>; }; template <typename RealType0, typename RealType1, size_t Order1> -struct promote_args_2<RealType0, detail::autodiff_fvar_type<RealType1, Order1>> { - using type = detail::autodiff_fvar_type<typename promote_args_2<RealType0, RealType1>::type, Order1>; +struct promote_args<RealType0, detail::autodiff_fvar_type<RealType1, Order1>> { + using type = detail::autodiff_fvar_type<typename promote_args<RealType0, RealType1>::type, Order1>; }; template <typename destination_t, typename RealType, std::size_t Order> diff --git a/contrib/restricted/boost/math/include/boost/math/distributions.hpp b/contrib/restricted/boost/math/include/boost/math/distributions.hpp index 64da99415e..0834db870a 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions.hpp @@ -24,15 +24,18 @@ #include <boost/math/distributions/fisher_f.hpp> #include <boost/math/distributions/gamma.hpp> #include <boost/math/distributions/geometric.hpp> +#include <boost/math/distributions/holtsmark.hpp> #include <boost/math/distributions/hyperexponential.hpp> #include <boost/math/distributions/hypergeometric.hpp> #include <boost/math/distributions/inverse_chi_squared.hpp> #include <boost/math/distributions/inverse_gamma.hpp> #include <boost/math/distributions/inverse_gaussian.hpp> #include <boost/math/distributions/kolmogorov_smirnov.hpp> +#include <boost/math/distributions/landau.hpp> #include <boost/math/distributions/laplace.hpp> #include <boost/math/distributions/logistic.hpp> #include <boost/math/distributions/lognormal.hpp> +#include <boost/math/distributions/mapairy.hpp> #include <boost/math/distributions/negative_binomial.hpp> #include <boost/math/distributions/non_central_chi_squared.hpp> #include <boost/math/distributions/non_central_beta.hpp> @@ -42,6 +45,7 @@ #include <boost/math/distributions/pareto.hpp> #include <boost/math/distributions/poisson.hpp> #include <boost/math/distributions/rayleigh.hpp> +#include <boost/math/distributions/saspoint5.hpp> #include <boost/math/distributions/skew_normal.hpp> #include <boost/math/distributions/students_t.hpp> #include <boost/math/distributions/triangular.hpp> diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/arcsine.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/arcsine.hpp index a8fcbbc05f..899bfb1b2b 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/arcsine.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/arcsine.hpp @@ -2,6 +2,7 @@ // Copyright John Maddock 2014. // Copyright Paul A. Bristow 2014. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. @@ -29,13 +30,21 @@ #ifndef BOOST_MATH_DIST_ARCSINE_HPP #define BOOST_MATH_DIST_ARCSINE_HPP -#include <cmath> -#include <boost/math/distributions/fwd.hpp> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> #include <boost/math/distributions/complement.hpp> // complements. #include <boost/math/distributions/detail/common_error_handling.hpp> // error checks. #include <boost/math/constants/constants.hpp> - #include <boost/math/special_functions/fpclassify.hpp> // isnan. +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/distributions/fwd.hpp> +#include <cmath> +#include <utility> +#include <exception> // For std::domain_error. +#endif #if defined (BOOST_MSVC) # pragma warning(push) @@ -43,9 +52,6 @@ // in domain_error_imp in error_handling. #endif -#include <utility> -#include <exception> // For std::domain_error. - namespace boost { namespace math @@ -55,7 +61,7 @@ namespace boost // Common error checking routines for arcsine distribution functions: // Duplicating for x_min and x_max provides specific error messages. template <class RealType, class Policy> - inline bool check_x_min(const char* function, const RealType& x, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_x_min(const char* function, const RealType& x, RealType* result, const Policy& pol) { if (!(boost::math::isfinite)(x)) { @@ -68,7 +74,7 @@ namespace boost } // bool check_x_min template <class RealType, class Policy> - inline bool check_x_max(const char* function, const RealType& x, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_x_max(const char* function, const RealType& x, RealType* result, const Policy& pol) { if (!(boost::math::isfinite)(x)) { @@ -82,14 +88,14 @@ namespace boost template <class RealType, class Policy> - inline bool check_x_minmax(const char* function, const RealType& x_min, const RealType& x_max, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_x_minmax(const char* function, const RealType& x_min, const RealType& x_max, RealType* result, const Policy& pol) { // Check x_min < x_max if (x_min >= x_max) { - std::string msg = "x_max argument is %1%, but must be > x_min"; + constexpr auto msg = "x_max argument is %1%, but must be > x_min"; *result = policies::raise_domain_error<RealType>( function, - msg.c_str(), x_max, pol); + msg, x_max, pol); // "x_max argument is %1%, but must be > x_min !", x_max, pol); // "x_max argument is %1%, but must be > x_min %2!", x_max, x_min, pol); would be better. // But would require replication of all helpers functions in /policies/error_handling.hpp for two values, @@ -100,7 +106,7 @@ namespace boost } // bool check_x_minmax template <class RealType, class Policy> - inline bool check_prob(const char* function, const RealType& p, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_prob(const char* function, const RealType& p, RealType* result, const Policy& pol) { if ((p < 0) || (p > 1) || !(boost::math::isfinite)(p)) { @@ -113,7 +119,7 @@ namespace boost } // bool check_prob template <class RealType, class Policy> - inline bool check_x(const char* function, const RealType& x_min, const RealType& x_max, const RealType& x, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_x(const char* function, const RealType& x_min, const RealType& x_max, const RealType& x, RealType* result, const Policy& pol) { // Check x finite and x_min < x < x_max. if (!(boost::math::isfinite)(x)) { @@ -137,7 +143,7 @@ namespace boost } // bool check_x template <class RealType, class Policy> - inline bool check_dist(const char* function, const RealType& x_min, const RealType& x_max, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist(const char* function, const RealType& x_min, const RealType& x_max, RealType* result, const Policy& pol) { // Check both x_min and x_max finite, and x_min < x_max. return check_x_min(function, x_min, result, pol) && check_x_max(function, x_max, result, pol) @@ -145,14 +151,14 @@ namespace boost } // bool check_dist template <class RealType, class Policy> - inline bool check_dist_and_x(const char* function, const RealType& x_min, const RealType& x_max, RealType x, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist_and_x(const char* function, const RealType& x_min, const RealType& x_max, RealType x, RealType* result, const Policy& pol) { return check_dist(function, x_min, x_max, result, pol) && arcsine_detail::check_x(function, x_min, x_max, x, result, pol); } // bool check_dist_and_x template <class RealType, class Policy> - inline bool check_dist_and_prob(const char* function, const RealType& x_min, const RealType& x_max, RealType p, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist_and_prob(const char* function, const RealType& x_min, const RealType& x_max, RealType p, RealType* result, const Policy& pol) { return check_dist(function, x_min, x_max, result, pol) && check_prob(function, p, result, pol); @@ -167,7 +173,7 @@ namespace boost typedef RealType value_type; typedef Policy policy_type; - arcsine_distribution(RealType x_min = 0, RealType x_max = 1) : m_x_min(x_min), m_x_max(x_max) + BOOST_MATH_GPU_ENABLED arcsine_distribution(RealType x_min = 0, RealType x_max = 1) : m_x_min(x_min), m_x_max(x_max) { // Default beta (alpha = beta = 0.5) is standard arcsine with x_min = 0, x_max = 1. // Generalized to allow x_min and x_max to be specified. RealType result; @@ -178,11 +184,11 @@ namespace boost &result, Policy()); } // arcsine_distribution constructor. // Accessor functions: - RealType x_min() const + BOOST_MATH_GPU_ENABLED RealType x_min() const { return m_x_min; } - RealType x_max() const + BOOST_MATH_GPU_ENABLED RealType x_max() const { return m_x_max; } @@ -203,21 +209,21 @@ namespace boost #endif template <class RealType, class Policy> - inline const std::pair<RealType, RealType> range(const arcsine_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const arcsine_distribution<RealType, Policy>& dist) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(dist.x_min()), static_cast<RealType>(dist.x_max())); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(dist.x_min()), static_cast<RealType>(dist.x_max())); } template <class RealType, class Policy> - inline const std::pair<RealType, RealType> support(const arcsine_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const arcsine_distribution<RealType, Policy>& dist) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. - return std::pair<RealType, RealType>(static_cast<RealType>(dist.x_min()), static_cast<RealType>(dist.x_max())); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(dist.x_min()), static_cast<RealType>(dist.x_max())); } template <class RealType, class Policy> - inline RealType mean(const arcsine_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const arcsine_distribution<RealType, Policy>& dist) { // Mean of arcsine distribution . RealType result; RealType x_min = dist.x_min(); @@ -236,7 +242,7 @@ namespace boost } // mean template <class RealType, class Policy> - inline RealType variance(const arcsine_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const arcsine_distribution<RealType, Policy>& dist) { // Variance of standard arcsine distribution = (1-0)/8 = 0.125. RealType result; RealType x_min = dist.x_min(); @@ -254,7 +260,7 @@ namespace boost } // variance template <class RealType, class Policy> - inline RealType mode(const arcsine_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline RealType mode(const arcsine_distribution<RealType, Policy>& /* dist */) { //There are always [*two] values for the mode, at ['x_min] and at ['x_max], default 0 and 1, // so instead we raise the exception domain_error. return policies::raise_domain_error<RealType>( @@ -265,7 +271,7 @@ namespace boost } // mode template <class RealType, class Policy> - inline RealType median(const arcsine_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType median(const arcsine_distribution<RealType, Policy>& dist) { // Median of arcsine distribution (a + b) / 2 == mean. RealType x_min = dist.x_min(); RealType x_max = dist.x_max(); @@ -283,7 +289,7 @@ namespace boost } template <class RealType, class Policy> - inline RealType skewness(const arcsine_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const arcsine_distribution<RealType, Policy>& dist) { RealType result; RealType x_min = dist.x_min(); @@ -302,7 +308,7 @@ namespace boost } // skewness template <class RealType, class Policy> - inline RealType kurtosis_excess(const arcsine_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const arcsine_distribution<RealType, Policy>& dist) { RealType result; RealType x_min = dist.x_min(); @@ -322,7 +328,7 @@ namespace boost } // kurtosis_excess template <class RealType, class Policy> - inline RealType kurtosis(const arcsine_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const arcsine_distribution<RealType, Policy>& dist) { RealType result; RealType x_min = dist.x_min(); @@ -342,12 +348,12 @@ namespace boost } // kurtosis template <class RealType, class Policy> - inline RealType pdf(const arcsine_distribution<RealType, Policy>& dist, const RealType& xx) + BOOST_MATH_GPU_ENABLED inline RealType pdf(const arcsine_distribution<RealType, Policy>& dist, const RealType& xx) { // Probability Density/Mass Function arcsine. BOOST_FPU_EXCEPTION_GUARD BOOST_MATH_STD_USING // For ADL of std functions. - static const char* function = "boost::math::pdf(arcsine_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::pdf(arcsine_distribution<%1%> const&, %1%)"; RealType lo = dist.x_min(); RealType hi = dist.x_max(); @@ -368,11 +374,11 @@ namespace boost } // pdf template <class RealType, class Policy> - inline RealType cdf(const arcsine_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const arcsine_distribution<RealType, Policy>& dist, const RealType& x) { // Cumulative Distribution Function arcsine. BOOST_MATH_STD_USING // For ADL of std functions. - static const char* function = "boost::math::cdf(arcsine_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::cdf(arcsine_distribution<%1%> const&, %1%)"; RealType x_min = dist.x_min(); RealType x_max = dist.x_max(); @@ -401,10 +407,10 @@ namespace boost } // arcsine cdf template <class RealType, class Policy> - inline RealType cdf(const complemented2_type<arcsine_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<arcsine_distribution<RealType, Policy>, RealType>& c) { // Complemented Cumulative Distribution Function arcsine. BOOST_MATH_STD_USING // For ADL of std functions. - static const char* function = "boost::math::cdf(arcsine_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::cdf(arcsine_distribution<%1%> const&, %1%)"; RealType x = c.param; arcsine_distribution<RealType, Policy> const& dist = c.dist; @@ -437,7 +443,7 @@ namespace boost } // arcsine ccdf template <class RealType, class Policy> - inline RealType quantile(const arcsine_distribution<RealType, Policy>& dist, const RealType& p) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const arcsine_distribution<RealType, Policy>& dist, const RealType& p) { // Quantile or Percent Point arcsine function or // Inverse Cumulative probability distribution function CDF. @@ -451,7 +457,7 @@ namespace boost using boost::math::constants::half_pi; - static const char* function = "boost::math::quantile(arcsine_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::quantile(arcsine_distribution<%1%> const&, %1%)"; RealType result = 0; // of argument checks: RealType x_min = dist.x_min(); @@ -481,7 +487,7 @@ namespace boost } // quantile template <class RealType, class Policy> - inline RealType quantile(const complemented2_type<arcsine_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<arcsine_distribution<RealType, Policy>, RealType>& c) { // Complement Quantile or Percent Point arcsine function. // Return the number of expected x for a given @@ -489,7 +495,7 @@ namespace boost BOOST_MATH_STD_USING // For ADL of std functions. using boost::math::constants::half_pi; - static const char* function = "boost::math::quantile(arcsine_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::quantile(arcsine_distribution<%1%> const&, %1%)"; // Error checks: RealType q = c.param; diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/bernoulli.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/bernoulli.hpp index cce209a6fb..f1c693f7f0 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/bernoulli.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/bernoulli.hpp @@ -2,6 +2,7 @@ // Copyright John Maddock 2006. // Copyright Paul A. Bristow 2007. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. @@ -27,13 +28,19 @@ #ifndef BOOST_MATH_SPECIAL_BERNOULLI_HPP #define BOOST_MATH_SPECIAL_BERNOULLI_HPP -#include <boost/math/distributions/fwd.hpp> #include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/type_traits.hpp> #include <boost/math/distributions/complement.hpp> // complements #include <boost/math/distributions/detail/common_error_handling.hpp> // error checks #include <boost/math/special_functions/fpclassify.hpp> // isnan. +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> +#ifndef BOOST_MATH_HAS_NVRTC #include <utility> +#include <boost/math/distributions/fwd.hpp> +#endif namespace boost { @@ -43,7 +50,7 @@ namespace boost { // Common error checking routines for bernoulli distribution functions: template <class RealType, class Policy> - inline bool check_success_fraction(const char* function, const RealType& p, RealType* result, const Policy& /* pol */) + BOOST_MATH_GPU_ENABLED inline bool check_success_fraction(const char* function, const RealType& p, RealType* result, const Policy& /* pol */) { if(!(boost::math::isfinite)(p) || (p < 0) || (p > 1)) { @@ -55,23 +62,23 @@ namespace boost return true; } template <class RealType, class Policy> - inline bool check_dist(const char* function, const RealType& p, RealType* result, const Policy& /* pol */, const std::true_type&) + BOOST_MATH_GPU_ENABLED inline bool check_dist(const char* function, const RealType& p, RealType* result, const Policy& /* pol */, const boost::math::true_type&) { return check_success_fraction(function, p, result, Policy()); } template <class RealType, class Policy> - inline bool check_dist(const char* , const RealType& , RealType* , const Policy& /* pol */, const std::false_type&) + BOOST_MATH_GPU_ENABLED inline bool check_dist(const char* , const RealType& , RealType* , const Policy& /* pol */, const boost::math::false_type&) { return true; } template <class RealType, class Policy> - inline bool check_dist(const char* function, const RealType& p, RealType* result, const Policy& /* pol */) + BOOST_MATH_GPU_ENABLED inline bool check_dist(const char* function, const RealType& p, RealType* result, const Policy& /* pol */) { return check_dist(function, p, result, Policy(), typename policies::constructor_error_check<Policy>::type()); } template <class RealType, class Policy> - inline bool check_dist_and_k(const char* function, const RealType& p, RealType k, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist_and_k(const char* function, const RealType& p, RealType k, RealType* result, const Policy& pol) { if(check_dist(function, p, result, Policy(), typename policies::method_error_check<Policy>::type()) == false) { @@ -87,7 +94,7 @@ namespace boost return true; } template <class RealType, class Policy> - inline bool check_dist_and_prob(const char* function, RealType p, RealType prob, RealType* result, const Policy& /* pol */) + BOOST_MATH_GPU_ENABLED inline bool check_dist_and_prob(const char* function, RealType p, RealType prob, RealType* result, const Policy& /* pol */) { if((check_dist(function, p, result, Policy(), typename policies::method_error_check<Policy>::type()) && detail::check_probability(function, prob, result, Policy())) == false) { @@ -105,7 +112,7 @@ namespace boost typedef RealType value_type; typedef Policy policy_type; - bernoulli_distribution(RealType p = 0.5) : m_p(p) + BOOST_MATH_GPU_ENABLED bernoulli_distribution(RealType p = 0.5) : m_p(p) { // Default probability = half suits 'fair' coin tossing // where probability of heads == probability of tails. RealType result; // of checks. @@ -115,7 +122,7 @@ namespace boost &result, Policy()); } // bernoulli_distribution constructor. - RealType success_fraction() const + BOOST_MATH_GPU_ENABLED RealType success_fraction() const { // Probability. return m_p; } @@ -132,21 +139,21 @@ namespace boost #endif template <class RealType, class Policy> - inline const std::pair<RealType, RealType> range(const bernoulli_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const bernoulli_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable k = {0, 1}. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), static_cast<RealType>(1)); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), static_cast<RealType>(1)); } template <class RealType, class Policy> - inline const std::pair<RealType, RealType> support(const bernoulli_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const bernoulli_distribution<RealType, Policy>& /* dist */) { // Range of supported values for random variable k = {0, 1}. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. - return std::pair<RealType, RealType>(static_cast<RealType>(0), static_cast<RealType>(1)); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), static_cast<RealType>(1)); } template <class RealType, class Policy> - inline RealType mean(const bernoulli_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const bernoulli_distribution<RealType, Policy>& dist) { // Mean of bernoulli distribution = p (n = 1). return dist.success_fraction(); } // mean @@ -159,13 +166,13 @@ namespace boost //} // median template <class RealType, class Policy> - inline RealType variance(const bernoulli_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const bernoulli_distribution<RealType, Policy>& dist) { // Variance of bernoulli distribution =p * q. return dist.success_fraction() * (1 - dist.success_fraction()); } // variance template <class RealType, class Policy> - RealType pdf(const bernoulli_distribution<RealType, Policy>& dist, const RealType& k) + BOOST_MATH_GPU_ENABLED RealType pdf(const bernoulli_distribution<RealType, Policy>& dist, const RealType& k) { // Probability Density/Mass Function. BOOST_FPU_EXCEPTION_GUARD // Error check: @@ -190,7 +197,7 @@ namespace boost } // pdf template <class RealType, class Policy> - inline RealType cdf(const bernoulli_distribution<RealType, Policy>& dist, const RealType& k) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const bernoulli_distribution<RealType, Policy>& dist, const RealType& k) { // Cumulative Distribution Function Bernoulli. RealType p = dist.success_fraction(); // Error check: @@ -214,7 +221,7 @@ namespace boost } // bernoulli cdf template <class RealType, class Policy> - inline RealType cdf(const complemented2_type<bernoulli_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<bernoulli_distribution<RealType, Policy>, RealType>& c) { // Complemented Cumulative Distribution Function bernoulli. RealType const& k = c.param; bernoulli_distribution<RealType, Policy> const& dist = c.dist; @@ -240,7 +247,7 @@ namespace boost } // bernoulli cdf complement template <class RealType, class Policy> - inline RealType quantile(const bernoulli_distribution<RealType, Policy>& dist, const RealType& p) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const bernoulli_distribution<RealType, Policy>& dist, const RealType& p) { // Quantile or Percent Point Bernoulli function. // Return the number of expected successes k either 0 or 1. // for a given probability p. @@ -265,7 +272,7 @@ namespace boost } // quantile template <class RealType, class Policy> - inline RealType quantile(const complemented2_type<bernoulli_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<bernoulli_distribution<RealType, Policy>, RealType>& c) { // Quantile or Percent Point bernoulli function. // Return the number of expected successes k for a given // complement of the probability q. @@ -294,13 +301,13 @@ namespace boost } // quantile complemented. template <class RealType, class Policy> - inline RealType mode(const bernoulli_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mode(const bernoulli_distribution<RealType, Policy>& dist) { return static_cast<RealType>((dist.success_fraction() <= 0.5) ? 0 : 1); // p = 0.5 can be 0 or 1 } template <class RealType, class Policy> - inline RealType skewness(const bernoulli_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const bernoulli_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING; // Aid ADL for sqrt. RealType p = dist.success_fraction(); @@ -308,7 +315,7 @@ namespace boost } template <class RealType, class Policy> - inline RealType kurtosis_excess(const bernoulli_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const bernoulli_distribution<RealType, Policy>& dist) { RealType p = dist.success_fraction(); // Note Wolfram says this is kurtosis in text, but gamma2 is the kurtosis excess, @@ -319,7 +326,7 @@ namespace boost } template <class RealType, class Policy> - inline RealType kurtosis(const bernoulli_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const bernoulli_distribution<RealType, Policy>& dist) { RealType p = dist.success_fraction(); return 1 / (1 - p) + 1/p -6 + 3; diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/beta.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/beta.hpp index 6c17ffa1a2..fef991a870 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/beta.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/beta.hpp @@ -25,12 +25,15 @@ #ifndef BOOST_MATH_DIST_BETA_HPP #define BOOST_MATH_DIST_BETA_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/beta.hpp> // for beta. #include <boost/math/distributions/complement.hpp> // complements. #include <boost/math/distributions/detail/common_error_handling.hpp> // error checks #include <boost/math/special_functions/fpclassify.hpp> // isnan. #include <boost/math/tools/roots.hpp> // for root finding. +#include <boost/math/policies/error_handling.hpp> #if defined (BOOST_MSVC) # pragma warning(push) @@ -38,8 +41,6 @@ // in domain_error_imp in error_handling #endif -#include <utility> - namespace boost { namespace math @@ -48,7 +49,7 @@ namespace boost { // Common error checking routines for beta distribution functions: template <class RealType, class Policy> - inline bool check_alpha(const char* function, const RealType& alpha, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_alpha(const char* function, const RealType& alpha, RealType* result, const Policy& pol) { if(!(boost::math::isfinite)(alpha) || (alpha <= 0)) { @@ -61,7 +62,7 @@ namespace boost } // bool check_alpha template <class RealType, class Policy> - inline bool check_beta(const char* function, const RealType& beta, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_beta(const char* function, const RealType& beta, RealType* result, const Policy& pol) { if(!(boost::math::isfinite)(beta) || (beta <= 0)) { @@ -74,7 +75,7 @@ namespace boost } // bool check_beta template <class RealType, class Policy> - inline bool check_prob(const char* function, const RealType& p, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_prob(const char* function, const RealType& p, RealType* result, const Policy& pol) { if((p < 0) || (p > 1) || !(boost::math::isfinite)(p)) { @@ -87,7 +88,7 @@ namespace boost } // bool check_prob template <class RealType, class Policy> - inline bool check_x(const char* function, const RealType& x, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_x(const char* function, const RealType& x, RealType* result, const Policy& pol) { if(!(boost::math::isfinite)(x) || (x < 0) || (x > 1)) { @@ -100,28 +101,28 @@ namespace boost } // bool check_x template <class RealType, class Policy> - inline bool check_dist(const char* function, const RealType& alpha, const RealType& beta, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist(const char* function, const RealType& alpha, const RealType& beta, RealType* result, const Policy& pol) { // Check both alpha and beta. return check_alpha(function, alpha, result, pol) && check_beta(function, beta, result, pol); } // bool check_dist template <class RealType, class Policy> - inline bool check_dist_and_x(const char* function, const RealType& alpha, const RealType& beta, RealType x, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist_and_x(const char* function, const RealType& alpha, const RealType& beta, RealType x, RealType* result, const Policy& pol) { return check_dist(function, alpha, beta, result, pol) && beta_detail::check_x(function, x, result, pol); } // bool check_dist_and_x template <class RealType, class Policy> - inline bool check_dist_and_prob(const char* function, const RealType& alpha, const RealType& beta, RealType p, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist_and_prob(const char* function, const RealType& alpha, const RealType& beta, RealType p, RealType* result, const Policy& pol) { return check_dist(function, alpha, beta, result, pol) && check_prob(function, p, result, pol); } // bool check_dist_and_prob template <class RealType, class Policy> - inline bool check_mean(const char* function, const RealType& mean, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_mean(const char* function, const RealType& mean, RealType* result, const Policy& pol) { if(!(boost::math::isfinite)(mean) || (mean <= 0)) { @@ -133,7 +134,7 @@ namespace boost return true; } // bool check_mean template <class RealType, class Policy> - inline bool check_variance(const char* function, const RealType& variance, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_variance(const char* function, const RealType& variance, RealType* result, const Policy& pol) { if(!(boost::math::isfinite)(variance) || (variance <= 0)) { @@ -157,7 +158,7 @@ namespace boost typedef RealType value_type; typedef Policy policy_type; - beta_distribution(RealType l_alpha = 1, RealType l_beta = 1) : m_alpha(l_alpha), m_beta(l_beta) + BOOST_MATH_GPU_ENABLED beta_distribution(RealType l_alpha = 1, RealType l_beta = 1) : m_alpha(l_alpha), m_beta(l_beta) { RealType result; beta_detail::check_dist( @@ -167,11 +168,11 @@ namespace boost &result, Policy()); } // beta_distribution constructor. // Accessor functions: - RealType alpha() const + BOOST_MATH_GPU_ENABLED RealType alpha() const { return m_alpha; } - RealType beta() const + BOOST_MATH_GPU_ENABLED RealType beta() const { // . return m_beta; } @@ -183,11 +184,11 @@ namespace boost // http://www.itl.nist.gov/div898/handbook/eda/section3/eda366h.htm // http://www.epi.ucdavis.edu/diagnostictests/betabuster.html - static RealType find_alpha( + BOOST_MATH_GPU_ENABLED static RealType find_alpha( RealType mean, // Expected value of mean. RealType variance) // Expected value of variance. { - static const char* function = "boost::math::beta_distribution<%1%>::find_alpha"; + constexpr auto function = "boost::math::beta_distribution<%1%>::find_alpha"; RealType result = 0; // of error checks. if(false == ( @@ -201,11 +202,11 @@ namespace boost return mean * (( (mean * (1 - mean)) / variance)- 1); } // RealType find_alpha - static RealType find_beta( + BOOST_MATH_GPU_ENABLED static RealType find_beta( RealType mean, // Expected value of mean. RealType variance) // Expected value of variance. { - static const char* function = "boost::math::beta_distribution<%1%>::find_beta"; + constexpr auto function = "boost::math::beta_distribution<%1%>::find_beta"; RealType result = 0; // of error checks. if(false == ( @@ -223,12 +224,12 @@ namespace boost // Estimate alpha & beta from either alpha or beta, and x and probability. // Uses for these parameter estimators are unclear. - static RealType find_alpha( + BOOST_MATH_GPU_ENABLED static RealType find_alpha( RealType beta, // from beta. RealType x, // x. RealType probability) // cdf { - static const char* function = "boost::math::beta_distribution<%1%>::find_alpha"; + constexpr auto function = "boost::math::beta_distribution<%1%>::find_alpha"; RealType result = 0; // of error checks. if(false == ( @@ -245,13 +246,13 @@ namespace boost return static_cast<RealType>(ibeta_inva(beta, x, probability, Policy())); } // RealType find_alpha(beta, a, probability) - static RealType find_beta( + BOOST_MATH_GPU_ENABLED static RealType find_beta( // ibeta_invb(T b, T x, T p); (alpha, x, cdf,) RealType alpha, // alpha. RealType x, // probability x. RealType probability) // probability cdf. { - static const char* function = "boost::math::beta_distribution<%1%>::find_beta"; + constexpr auto function = "boost::math::beta_distribution<%1%>::find_beta"; RealType result = 0; // of error checks. if(false == ( @@ -281,27 +282,27 @@ namespace boost #endif template <class RealType, class Policy> - inline const std::pair<RealType, RealType> range(const beta_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const beta_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), static_cast<RealType>(1)); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), static_cast<RealType>(1)); } template <class RealType, class Policy> - inline const std::pair<RealType, RealType> support(const beta_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const beta_distribution<RealType, Policy>& /* dist */) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. - return std::pair<RealType, RealType>(static_cast<RealType>(0), static_cast<RealType>(1)); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), static_cast<RealType>(1)); } template <class RealType, class Policy> - inline RealType mean(const beta_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const beta_distribution<RealType, Policy>& dist) { // Mean of beta distribution = np. return dist.alpha() / (dist.alpha() + dist.beta()); } // mean template <class RealType, class Policy> - inline RealType variance(const beta_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const beta_distribution<RealType, Policy>& dist) { // Variance of beta distribution = np(1-p). RealType a = dist.alpha(); RealType b = dist.beta(); @@ -309,9 +310,9 @@ namespace boost } // variance template <class RealType, class Policy> - inline RealType mode(const beta_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mode(const beta_distribution<RealType, Policy>& dist) { - static const char* function = "boost::math::mode(beta_distribution<%1%> const&)"; + constexpr auto function = "boost::math::mode(beta_distribution<%1%> const&)"; RealType result; if ((dist.alpha() <= 1)) @@ -343,7 +344,7 @@ namespace boost //But WILL be provided by the derived accessor as quantile(0.5). template <class RealType, class Policy> - inline RealType skewness(const beta_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const beta_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // ADL of std functions. RealType a = dist.alpha(); @@ -352,7 +353,7 @@ namespace boost } // skewness template <class RealType, class Policy> - inline RealType kurtosis_excess(const beta_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const beta_distribution<RealType, Policy>& dist) { RealType a = dist.alpha(); RealType b = dist.beta(); @@ -363,17 +364,17 @@ namespace boost } // kurtosis_excess template <class RealType, class Policy> - inline RealType kurtosis(const beta_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const beta_distribution<RealType, Policy>& dist) { return 3 + kurtosis_excess(dist); } // kurtosis template <class RealType, class Policy> - inline RealType pdf(const beta_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType pdf(const beta_distribution<RealType, Policy>& dist, const RealType& x) { // Probability Density/Mass Function. BOOST_FPU_EXCEPTION_GUARD - static const char* function = "boost::math::pdf(beta_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::pdf(beta_distribution<%1%> const&, %1%)"; BOOST_MATH_STD_USING // for ADL of std functions @@ -428,11 +429,11 @@ namespace boost } // pdf template <class RealType, class Policy> - inline RealType cdf(const beta_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const beta_distribution<RealType, Policy>& dist, const RealType& x) { // Cumulative Distribution Function beta. BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(beta_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::cdf(beta_distribution<%1%> const&, %1%)"; RealType a = dist.alpha(); RealType b = dist.beta(); @@ -459,12 +460,12 @@ namespace boost } // beta cdf template <class RealType, class Policy> - inline RealType cdf(const complemented2_type<beta_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<beta_distribution<RealType, Policy>, RealType>& c) { // Complemented Cumulative Distribution Function beta. BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(beta_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::cdf(beta_distribution<%1%> const&, %1%)"; RealType const& x = c.param; beta_distribution<RealType, Policy> const& dist = c.dist; @@ -495,7 +496,7 @@ namespace boost } // beta cdf template <class RealType, class Policy> - inline RealType quantile(const beta_distribution<RealType, Policy>& dist, const RealType& p) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const beta_distribution<RealType, Policy>& dist, const RealType& p) { // Quantile or Percent Point beta function or // Inverse Cumulative probability distribution function CDF. // Return x (0 <= x <= 1), @@ -505,7 +506,7 @@ namespace boost // will be less than or equal to that value // is whatever probability you supplied as an argument. - static const char* function = "boost::math::quantile(beta_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::quantile(beta_distribution<%1%> const&, %1%)"; RealType result = 0; // of argument checks: RealType a = dist.alpha(); @@ -530,12 +531,12 @@ namespace boost } // quantile template <class RealType, class Policy> - inline RealType quantile(const complemented2_type<beta_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<beta_distribution<RealType, Policy>, RealType>& c) { // Complement Quantile or Percent Point beta function . // Return the number of expected x for a given // complement of the probability q. - static const char* function = "boost::math::quantile(beta_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::quantile(beta_distribution<%1%> const&, %1%)"; // // Error checks: diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/binomial.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/binomial.hpp index cf7451104b..b17893e422 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/binomial.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/binomial.hpp @@ -79,6 +79,8 @@ #ifndef BOOST_MATH_SPECIAL_BINOMIAL_HPP #define BOOST_MATH_SPECIAL_BINOMIAL_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/beta.hpp> // for incomplete beta. #include <boost/math/distributions/complement.hpp> // complements @@ -100,7 +102,7 @@ namespace boost namespace binomial_detail{ // common error checking routines for binomial distribution functions: template <class RealType, class Policy> - inline bool check_N(const char* function, const RealType& N, RealType* result, const Policy& pol) + BOOST_MATH_CUDA_ENABLED inline bool check_N(const char* function, const RealType& N, RealType* result, const Policy& pol) { if((N < 0) || !(boost::math::isfinite)(N)) { @@ -112,7 +114,7 @@ namespace boost return true; } template <class RealType, class Policy> - inline bool check_success_fraction(const char* function, const RealType& p, RealType* result, const Policy& pol) + BOOST_MATH_CUDA_ENABLED inline bool check_success_fraction(const char* function, const RealType& p, RealType* result, const Policy& pol) { if((p < 0) || (p > 1) || !(boost::math::isfinite)(p)) { @@ -124,7 +126,7 @@ namespace boost return true; } template <class RealType, class Policy> - inline bool check_dist(const char* function, const RealType& N, const RealType& p, RealType* result, const Policy& pol) + BOOST_MATH_CUDA_ENABLED inline bool check_dist(const char* function, const RealType& N, const RealType& p, RealType* result, const Policy& pol) { return check_success_fraction( function, p, result, pol) @@ -132,7 +134,7 @@ namespace boost function, N, result, pol); } template <class RealType, class Policy> - inline bool check_dist_and_k(const char* function, const RealType& N, const RealType& p, RealType k, RealType* result, const Policy& pol) + BOOST_MATH_CUDA_ENABLED inline bool check_dist_and_k(const char* function, const RealType& N, const RealType& p, RealType k, RealType* result, const Policy& pol) { if(check_dist(function, N, p, result, pol) == false) return false; @@ -153,7 +155,7 @@ namespace boost return true; } template <class RealType, class Policy> - inline bool check_dist_and_prob(const char* function, const RealType& N, RealType p, RealType prob, RealType* result, const Policy& pol) + BOOST_MATH_CUDA_ENABLED inline bool check_dist_and_prob(const char* function, const RealType& N, RealType p, RealType prob, RealType* result, const Policy& pol) { if((check_dist(function, N, p, result, pol) && detail::check_probability(function, prob, result, pol)) == false) return false; @@ -161,7 +163,7 @@ namespace boost } template <class T, class Policy> - T inverse_binomial_cornish_fisher(T n, T sf, T p, T q, const Policy& pol) + BOOST_MATH_CUDA_ENABLED T inverse_binomial_cornish_fisher(T n, T sf, T p, T q, const Policy& pol) { BOOST_MATH_STD_USING // mean: @@ -196,7 +198,7 @@ namespace boost } template <class RealType, class Policy> - RealType quantile_imp(const binomial_distribution<RealType, Policy>& dist, const RealType& p, const RealType& q, bool comp) + BOOST_MATH_CUDA_ENABLED RealType quantile_imp(const binomial_distribution<RealType, Policy>& dist, const RealType& p, const RealType& q, bool comp) { // Quantile or Percent Point Binomial function. // Return the number of expected successes k, // for a given probability p. @@ -290,11 +292,11 @@ namespace boost &r, Policy()); } // binomial_distribution constructor. - RealType success_fraction() const + BOOST_MATH_CUDA_ENABLED RealType success_fraction() const { // Probability. return m_p; } - RealType trials() const + BOOST_MATH_CUDA_ENABLED RealType trials() const { // Total number of trials. return m_n; } @@ -310,13 +312,13 @@ namespace boost // these functions are used // to obtain confidence intervals for the success fraction. // - static RealType find_lower_bound_on_p( + BOOST_MATH_CUDA_ENABLED static RealType find_lower_bound_on_p( RealType trials, RealType successes, RealType probability, interval_type t = clopper_pearson_exact_interval) { - static const char* function = "boost::math::binomial_distribution<%1%>::find_lower_bound_on_p"; + BOOST_MATH_STATIC const char* function = "boost::math::binomial_distribution<%1%>::find_lower_bound_on_p"; // Error checks: RealType result = 0; if(false == binomial_detail::check_dist_and_k( @@ -335,13 +337,13 @@ namespace boost return (t == clopper_pearson_exact_interval) ? ibeta_inv(successes, trials - successes + 1, probability, static_cast<RealType*>(nullptr), Policy()) : ibeta_inv(successes + 0.5f, trials - successes + 0.5f, probability, static_cast<RealType*>(nullptr), Policy()); } - static RealType find_upper_bound_on_p( + BOOST_MATH_CUDA_ENABLED static RealType find_upper_bound_on_p( RealType trials, RealType successes, RealType probability, interval_type t = clopper_pearson_exact_interval) { - static const char* function = "boost::math::binomial_distribution<%1%>::find_upper_bound_on_p"; + BOOST_MATH_STATIC const char* function = "boost::math::binomial_distribution<%1%>::find_upper_bound_on_p"; // Error checks: RealType result = 0; if(false == binomial_detail::check_dist_and_k( @@ -363,12 +365,12 @@ namespace boost // or // "How many trials can I have to be P% sure of seeing fewer than k events?" // - static RealType find_minimum_number_of_trials( + BOOST_MATH_CUDA_ENABLED static RealType find_minimum_number_of_trials( RealType k, // number of events RealType p, // success fraction RealType alpha) // risk level { - static const char* function = "boost::math::binomial_distribution<%1%>::find_minimum_number_of_trials"; + BOOST_MATH_STATIC const char* function = "boost::math::binomial_distribution<%1%>::find_minimum_number_of_trials"; // Error checks: RealType result = 0; if(false == binomial_detail::check_dist_and_k( @@ -382,12 +384,12 @@ namespace boost return result + k; } - static RealType find_maximum_number_of_trials( + BOOST_MATH_CUDA_ENABLED static RealType find_maximum_number_of_trials( RealType k, // number of events RealType p, // success fraction RealType alpha) // risk level { - static const char* function = "boost::math::binomial_distribution<%1%>::find_maximum_number_of_trials"; + BOOST_MATH_STATIC const char* function = "boost::math::binomial_distribution<%1%>::find_maximum_number_of_trials"; // Error checks: RealType result = 0; if(false == binomial_detail::check_dist_and_k( @@ -419,33 +421,33 @@ namespace boost #endif template <class RealType, class Policy> - const std::pair<RealType, RealType> range(const binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_CUDA_ENABLED const boost::math::pair<RealType, RealType> range(const binomial_distribution<RealType, Policy>& dist) { // Range of permissible values for random variable k. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), dist.trials()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), dist.trials()); } template <class RealType, class Policy> - const std::pair<RealType, RealType> support(const binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_CUDA_ENABLED const boost::math::pair<RealType, RealType> support(const binomial_distribution<RealType, Policy>& dist) { // Range of supported values for random variable k. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. - return std::pair<RealType, RealType>(static_cast<RealType>(0), dist.trials()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), dist.trials()); } template <class RealType, class Policy> - inline RealType mean(const binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_CUDA_ENABLED inline RealType mean(const binomial_distribution<RealType, Policy>& dist) { // Mean of Binomial distribution = np. return dist.trials() * dist.success_fraction(); } // mean template <class RealType, class Policy> - inline RealType variance(const binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_CUDA_ENABLED inline RealType variance(const binomial_distribution<RealType, Policy>& dist) { // Variance of Binomial distribution = np(1-p). return dist.trials() * dist.success_fraction() * (1 - dist.success_fraction()); } // variance template <class RealType, class Policy> - RealType pdf(const binomial_distribution<RealType, Policy>& dist, const RealType& k) + BOOST_MATH_CUDA_ENABLED RealType pdf(const binomial_distribution<RealType, Policy>& dist, const RealType& k) { // Probability Density/Mass Function. BOOST_FPU_EXCEPTION_GUARD @@ -501,7 +503,7 @@ namespace boost } // pdf template <class RealType, class Policy> - inline RealType cdf(const binomial_distribution<RealType, Policy>& dist, const RealType& k) + BOOST_MATH_CUDA_ENABLED inline RealType cdf(const binomial_distribution<RealType, Policy>& dist, const RealType& k) { // Cumulative Distribution Function Binomial. // The random variate k is the number of successes in n trials. // k argument may be integral, signed, or unsigned, or floating point. @@ -573,7 +575,7 @@ namespace boost } // binomial cdf template <class RealType, class Policy> - inline RealType cdf(const complemented2_type<binomial_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_CUDA_ENABLED inline RealType cdf(const complemented2_type<binomial_distribution<RealType, Policy>, RealType>& c) { // Complemented Cumulative Distribution Function Binomial. // The random variate k is the number of successes in n trials. // k argument may be integral, signed, or unsigned, or floating point. @@ -650,19 +652,19 @@ namespace boost } // binomial cdf template <class RealType, class Policy> - inline RealType quantile(const binomial_distribution<RealType, Policy>& dist, const RealType& p) + BOOST_MATH_CUDA_ENABLED inline RealType quantile(const binomial_distribution<RealType, Policy>& dist, const RealType& p) { return binomial_detail::quantile_imp(dist, p, RealType(1-p), false); } // quantile template <class RealType, class Policy> - RealType quantile(const complemented2_type<binomial_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_CUDA_ENABLED RealType quantile(const complemented2_type<binomial_distribution<RealType, Policy>, RealType>& c) { return binomial_detail::quantile_imp(c.dist, RealType(1-c.param), c.param, true); } // quantile template <class RealType, class Policy> - inline RealType mode(const binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_CUDA_ENABLED inline RealType mode(const binomial_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // ADL of std functions. RealType p = dist.success_fraction(); @@ -671,7 +673,7 @@ namespace boost } template <class RealType, class Policy> - inline RealType median(const binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_CUDA_ENABLED inline RealType median(const binomial_distribution<RealType, Policy>& dist) { // Bounds for the median of the negative binomial distribution // VAN DE VEN R. ; WEBER N. C. ; // Univ. Sydney, school mathematics statistics, Sydney N.S.W. 2006, AUSTRALIE @@ -689,7 +691,7 @@ namespace boost } template <class RealType, class Policy> - inline RealType skewness(const binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_CUDA_ENABLED inline RealType skewness(const binomial_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // ADL of std functions. RealType p = dist.success_fraction(); @@ -698,7 +700,7 @@ namespace boost } template <class RealType, class Policy> - inline RealType kurtosis(const binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_CUDA_ENABLED inline RealType kurtosis(const binomial_distribution<RealType, Policy>& dist) { RealType p = dist.success_fraction(); RealType n = dist.trials(); @@ -706,7 +708,7 @@ namespace boost } template <class RealType, class Policy> - inline RealType kurtosis_excess(const binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_CUDA_ENABLED inline RealType kurtosis_excess(const binomial_distribution<RealType, Policy>& dist) { RealType p = dist.success_fraction(); RealType q = 1 - p; diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/cauchy.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/cauchy.hpp index d914cca77e..3a5af69e43 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/cauchy.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/cauchy.hpp @@ -1,5 +1,6 @@ // Copyright John Maddock 2006, 2007. // Copyright Paul A. Bristow 2007. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file @@ -13,12 +14,21 @@ #pragma warning(disable : 4127) // conditional expression is constant #endif -#include <boost/math/distributions/fwd.hpp> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/precision.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/distributions/complement.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/distributions/fwd.hpp> #include <utility> #include <cmath> +#endif namespace boost{ namespace math { @@ -30,7 +40,7 @@ namespace detail { template <class RealType, class Policy> -RealType cdf_imp(const cauchy_distribution<RealType, Policy>& dist, const RealType& x, bool complement) +BOOST_MATH_GPU_ENABLED RealType cdf_imp(const cauchy_distribution<RealType, Policy>& dist, const RealType& x, bool complement) { // // This calculates the cdf of the Cauchy distribution and/or its complement. @@ -47,14 +57,14 @@ RealType cdf_imp(const cauchy_distribution<RealType, Policy>& dist, const RealTy // // Substituting into the above we get: // - // CDF = -atan(1/x) ; x < 0 + // CDF = -atan(1/x)/pi ; x < 0 // // So the procedure is to calculate the cdf for -fabs(x) // using the above formula, and then subtract from 1 when required // to get the result. // BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(cauchy<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(cauchy<%1%>&, %1%)"; RealType result = 0; RealType location = dist.location(); RealType scale = dist.scale(); @@ -66,14 +76,25 @@ RealType cdf_imp(const cauchy_distribution<RealType, Policy>& dist, const RealTy { return result; } - if(std::numeric_limits<RealType>::has_infinity && x == std::numeric_limits<RealType>::infinity()) + #ifdef BOOST_MATH_HAS_GPU_SUPPORT + if(x > tools::max_value<RealType>()) + { + return static_cast<RealType>((complement) ? 0 : 1); + } + if(x < -tools::max_value<RealType>()) + { + return static_cast<RealType>((complement) ? 1 : 0); + } + #else + if(boost::math::numeric_limits<RealType>::has_infinity && x == boost::math::numeric_limits<RealType>::infinity()) { // cdf +infinity is unity. return static_cast<RealType>((complement) ? 0 : 1); } - if(std::numeric_limits<RealType>::has_infinity && x == -std::numeric_limits<RealType>::infinity()) + if(boost::math::numeric_limits<RealType>::has_infinity && x == -boost::math::numeric_limits<RealType>::infinity()) { // cdf -infinity is zero. return static_cast<RealType>((complement) ? 1 : 0); } + #endif if(false == detail::check_x(function, x, &result, Policy())) { // Catches x == NaN return result; @@ -88,20 +109,19 @@ RealType cdf_imp(const cauchy_distribution<RealType, Policy>& dist, const RealTy } // cdf template <class RealType, class Policy> -RealType quantile_imp( +BOOST_MATH_GPU_ENABLED RealType quantile_imp( const cauchy_distribution<RealType, Policy>& dist, - const RealType& p, + RealType p, bool complement) { // This routine implements the quantile for the Cauchy distribution, // the value p may be the probability, or its complement if complement=true. // - // The procedure first performs argument reduction on p to avoid error - // when calculating the tangent, then calculates the distance from the + // The procedure calculates the distance from the // mid-point of the distribution. This is either added or subtracted // from the location parameter depending on whether `complement` is true. // - static const char* function = "boost::math::quantile(cauchy<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(cauchy<%1%>&, %1%)"; BOOST_MATH_STD_USING // for ADL of std functions RealType result = 0; @@ -129,16 +149,15 @@ RealType quantile_imp( return (complement ? 1 : -1) * policies::raise_overflow_error<RealType>(function, 0, Policy()); } - RealType P = p - floor(p); // argument reduction of p: - if(P > 0.5) + if(p > 0.5) { - P = P - 1; + p = p - 1; } - if(P == 0.5) // special case: + if(p == 0.5) // special case: { return location; } - result = -scale / tan(constants::pi<RealType>() * P); + result = -scale / tan(constants::pi<RealType>() * p); return complement ? RealType(location - result) : RealType(location + result); } // quantile @@ -151,20 +170,20 @@ public: typedef RealType value_type; typedef Policy policy_type; - cauchy_distribution(RealType l_location = 0, RealType l_scale = 1) + BOOST_MATH_GPU_ENABLED cauchy_distribution(RealType l_location = 0, RealType l_scale = 1) : m_a(l_location), m_hg(l_scale) { - static const char* function = "boost::math::cauchy_distribution<%1%>::cauchy_distribution"; + constexpr auto function = "boost::math::cauchy_distribution<%1%>::cauchy_distribution"; RealType result; detail::check_location(function, l_location, &result, Policy()); detail::check_scale(function, l_scale, &result, Policy()); } // cauchy_distribution - RealType location()const + BOOST_MATH_GPU_ENABLED RealType location()const { return m_a; } - RealType scale()const + BOOST_MATH_GPU_ENABLED RealType scale()const { return m_hg; } @@ -184,48 +203,48 @@ cauchy_distribution(RealType,RealType)->cauchy_distribution<typename boost::math #endif template <class RealType, class Policy> -inline const std::pair<RealType, RealType> range(const cauchy_distribution<RealType, Policy>&) +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const cauchy_distribution<RealType, Policy>&) { // Range of permissible values for random variable x. - if (std::numeric_limits<RealType>::has_infinity) + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) { - return std::pair<RealType, RealType>(-std::numeric_limits<RealType>::infinity(), std::numeric_limits<RealType>::infinity()); // - to + infinity. + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. } else { // Can only use max_value. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max. + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max. } } template <class RealType, class Policy> -inline const std::pair<RealType, RealType> support(const cauchy_distribution<RealType, Policy>& ) +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const cauchy_distribution<RealType, Policy>& ) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. - if (std::numeric_limits<RealType>::has_infinity) + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) { - return std::pair<RealType, RealType>(-std::numeric_limits<RealType>::infinity(), std::numeric_limits<RealType>::infinity()); // - to + infinity. + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. } else { // Can only use max_value. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(-tools::max_value<RealType>(), max_value<RealType>()); // - to + max. + return boost::math::pair<RealType, RealType>(-tools::max_value<RealType>(), max_value<RealType>()); // - to + max. } } template <class RealType, class Policy> -inline RealType pdf(const cauchy_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType pdf(const cauchy_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::pdf(cauchy<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(cauchy<%1%>&, %1%)"; RealType result = 0; RealType location = dist.location(); RealType scale = dist.scale(); - if(false == detail::check_scale("boost::math::pdf(cauchy<%1%>&, %1%)", scale, &result, Policy())) + if(false == detail::check_scale(function, scale, &result, Policy())) { return result; } - if(false == detail::check_location("boost::math::pdf(cauchy<%1%>&, %1%)", location, &result, Policy())) + if(false == detail::check_location(function, location, &result, Policy())) { return result; } @@ -234,7 +253,7 @@ inline RealType pdf(const cauchy_distribution<RealType, Policy>& dist, const Rea return 0; // pdf + and - infinity is zero. } // These produce MSVC 4127 warnings, so the above used instead. - //if(std::numeric_limits<RealType>::has_infinity && abs(x) == std::numeric_limits<RealType>::infinity()) + //if(boost::math::numeric_limits<RealType>::has_infinity && abs(x) == boost::math::numeric_limits<RealType>::infinity()) //{ // pdf + and - infinity is zero. // return 0; //} @@ -250,111 +269,112 @@ inline RealType pdf(const cauchy_distribution<RealType, Policy>& dist, const Rea } // pdf template <class RealType, class Policy> -inline RealType cdf(const cauchy_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const cauchy_distribution<RealType, Policy>& dist, const RealType& x) { return detail::cdf_imp(dist, x, false); } // cdf template <class RealType, class Policy> -inline RealType quantile(const cauchy_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const cauchy_distribution<RealType, Policy>& dist, const RealType& p) { return detail::quantile_imp(dist, p, false); } // quantile template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<cauchy_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<cauchy_distribution<RealType, Policy>, RealType>& c) { return detail::cdf_imp(c.dist, c.param, true); } // cdf complement template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<cauchy_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<cauchy_distribution<RealType, Policy>, RealType>& c) { return detail::quantile_imp(c.dist, c.param, true); } // quantile complement template <class RealType, class Policy> -inline RealType mean(const cauchy_distribution<RealType, Policy>&) +BOOST_MATH_GPU_ENABLED inline RealType mean(const cauchy_distribution<RealType, Policy>&) { // There is no mean: typedef typename Policy::assert_undefined_type assert_type; - static_assert(assert_type::value == 0, "assert type is undefined"); + static_assert(assert_type::value == 0, "The Cauchy Distribution has no mean"); return policies::raise_domain_error<RealType>( "boost::math::mean(cauchy<%1%>&)", "The Cauchy distribution does not have a mean: " "the only possible return value is %1%.", - std::numeric_limits<RealType>::quiet_NaN(), Policy()); + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); } template <class RealType, class Policy> -inline RealType variance(const cauchy_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType variance(const cauchy_distribution<RealType, Policy>& /*dist*/) { // There is no variance: typedef typename Policy::assert_undefined_type assert_type; - static_assert(assert_type::value == 0, "assert type is undefined"); + static_assert(assert_type::value == 0, "The Cauchy Distribution has no variance"); return policies::raise_domain_error<RealType>( "boost::math::variance(cauchy<%1%>&)", "The Cauchy distribution does not have a variance: " "the only possible return value is %1%.", - std::numeric_limits<RealType>::quiet_NaN(), Policy()); + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); } template <class RealType, class Policy> -inline RealType mode(const cauchy_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const cauchy_distribution<RealType, Policy>& dist) { return dist.location(); } template <class RealType, class Policy> -inline RealType median(const cauchy_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType median(const cauchy_distribution<RealType, Policy>& dist) { return dist.location(); } + template <class RealType, class Policy> -inline RealType skewness(const cauchy_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const cauchy_distribution<RealType, Policy>& /*dist*/) { // There is no skewness: typedef typename Policy::assert_undefined_type assert_type; - static_assert(assert_type::value == 0, "assert type is undefined"); + static_assert(assert_type::value == 0, "The Cauchy Distribution has no skewness"); return policies::raise_domain_error<RealType>( "boost::math::skewness(cauchy<%1%>&)", "The Cauchy distribution does not have a skewness: " "the only possible return value is %1%.", - std::numeric_limits<RealType>::quiet_NaN(), Policy()); // infinity? + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); // infinity? } template <class RealType, class Policy> -inline RealType kurtosis(const cauchy_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const cauchy_distribution<RealType, Policy>& /*dist*/) { // There is no kurtosis: typedef typename Policy::assert_undefined_type assert_type; - static_assert(assert_type::value == 0, "assert type is undefined"); + static_assert(assert_type::value == 0, "The Cauchy Distribution has no kurtosis"); return policies::raise_domain_error<RealType>( "boost::math::kurtosis(cauchy<%1%>&)", "The Cauchy distribution does not have a kurtosis: " "the only possible return value is %1%.", - std::numeric_limits<RealType>::quiet_NaN(), Policy()); + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); } template <class RealType, class Policy> -inline RealType kurtosis_excess(const cauchy_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const cauchy_distribution<RealType, Policy>& /*dist*/) { // There is no kurtosis excess: typedef typename Policy::assert_undefined_type assert_type; - static_assert(assert_type::value == 0, "assert type is undefined"); + static_assert(assert_type::value == 0, "The Cauchy Distribution has no kurtosis excess"); return policies::raise_domain_error<RealType>( "boost::math::kurtosis_excess(cauchy<%1%>&)", "The Cauchy distribution does not have a kurtosis: " "the only possible return value is %1%.", - std::numeric_limits<RealType>::quiet_NaN(), Policy()); + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); } template <class RealType, class Policy> -inline RealType entropy(const cauchy_distribution<RealType, Policy> & dist) +BOOST_MATH_GPU_ENABLED inline RealType entropy(const cauchy_distribution<RealType, Policy> & dist) { using std::log; return log(2*constants::two_pi<RealType>()*dist.scale()); diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/chi_squared.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/chi_squared.hpp index f5daddc0ad..3944569e89 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/chi_squared.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/chi_squared.hpp @@ -9,14 +9,17 @@ #ifndef BOOST_MATH_DISTRIBUTIONS_CHI_SQUARED_HPP #define BOOST_MATH_DISTRIBUTIONS_CHI_SQUARED_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/toms748_solve.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/gamma.hpp> // for incomplete beta. #include <boost/math/distributions/complement.hpp> // complements #include <boost/math/distributions/detail/common_error_handling.hpp> // error checks #include <boost/math/special_functions/fpclassify.hpp> -#include <utility> - namespace boost{ namespace math{ template <class RealType = double, class Policy = policies::policy<> > @@ -26,20 +29,20 @@ public: using value_type = RealType; using policy_type = Policy; - explicit chi_squared_distribution(RealType i) : m_df(i) + BOOST_MATH_GPU_ENABLED explicit chi_squared_distribution(RealType i) : m_df(i) { RealType result; detail::check_df( "boost::math::chi_squared_distribution<%1%>::chi_squared_distribution", m_df, &result, Policy()); } // chi_squared_distribution - RealType degrees_of_freedom()const + BOOST_MATH_GPU_ENABLED RealType degrees_of_freedom()const { return m_df; } // Parameter estimation: - static RealType find_degrees_of_freedom( + BOOST_MATH_GPU_ENABLED static RealType find_degrees_of_freedom( RealType difference_from_variance, RealType alpha, RealType beta, @@ -66,16 +69,16 @@ chi_squared_distribution(RealType)->chi_squared_distribution<typename boost::mat #endif template <class RealType, class Policy> -inline std::pair<RealType, RealType> range(const chi_squared_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> range(const chi_squared_distribution<RealType, Policy>& /*dist*/) { // Range of permissible values for random variable x. - if (std::numeric_limits<RealType>::has_infinity) + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) { - return std::pair<RealType, RealType>(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()); // 0 to + infinity. + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), boost::math::numeric_limits<RealType>::infinity()); // 0 to + infinity. } else { using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // 0 to + max. + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // 0 to + max. } } @@ -84,21 +87,21 @@ inline std::pair<RealType, RealType> range(const chi_squared_distribution<RealTy #endif template <class RealType, class Policy> -inline std::pair<RealType, RealType> support(const chi_squared_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> support(const chi_squared_distribution<RealType, Policy>& /*dist*/) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. - return std::pair<RealType, RealType>(static_cast<RealType>(0), tools::max_value<RealType>()); // 0 to + infinity. + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), tools::max_value<RealType>()); // 0 to + infinity. } template <class RealType, class Policy> -RealType pdf(const chi_squared_distribution<RealType, Policy>& dist, const RealType& chi_square) +BOOST_MATH_GPU_ENABLED RealType pdf(const chi_squared_distribution<RealType, Policy>& dist, const RealType& chi_square) { BOOST_MATH_STD_USING // for ADL of std functions RealType degrees_of_freedom = dist.degrees_of_freedom(); // Error check: RealType error_result; - static const char* function = "boost::math::pdf(const chi_squared_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const chi_squared_distribution<%1%>&, %1%)"; if(false == detail::check_df( function, degrees_of_freedom, &error_result, Policy())) @@ -132,12 +135,12 @@ RealType pdf(const chi_squared_distribution<RealType, Policy>& dist, const RealT } // pdf template <class RealType, class Policy> -inline RealType cdf(const chi_squared_distribution<RealType, Policy>& dist, const RealType& chi_square) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const chi_squared_distribution<RealType, Policy>& dist, const RealType& chi_square) { RealType degrees_of_freedom = dist.degrees_of_freedom(); // Error check: RealType error_result; - static const char* function = "boost::math::cdf(const chi_squared_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const chi_squared_distribution<%1%>&, %1%)"; if(false == detail::check_df( function, degrees_of_freedom, &error_result, Policy())) @@ -153,10 +156,10 @@ inline RealType cdf(const chi_squared_distribution<RealType, Policy>& dist, cons } // cdf template <class RealType, class Policy> -inline RealType quantile(const chi_squared_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const chi_squared_distribution<RealType, Policy>& dist, const RealType& p) { RealType degrees_of_freedom = dist.degrees_of_freedom(); - static const char* function = "boost::math::quantile(const chi_squared_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const chi_squared_distribution<%1%>&, %1%)"; // Error check: RealType error_result; if(false == @@ -170,11 +173,11 @@ inline RealType quantile(const chi_squared_distribution<RealType, Policy>& dist, } // quantile template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<chi_squared_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<chi_squared_distribution<RealType, Policy>, RealType>& c) { RealType const& degrees_of_freedom = c.dist.degrees_of_freedom(); RealType const& chi_square = c.param; - static const char* function = "boost::math::cdf(const chi_squared_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const chi_squared_distribution<%1%>&, %1%)"; // Error check: RealType error_result; if(false == detail::check_df( @@ -191,11 +194,11 @@ inline RealType cdf(const complemented2_type<chi_squared_distribution<RealType, } template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<chi_squared_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<chi_squared_distribution<RealType, Policy>, RealType>& c) { RealType const& degrees_of_freedom = c.dist.degrees_of_freedom(); RealType const& q = c.param; - static const char* function = "boost::math::quantile(const chi_squared_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const chi_squared_distribution<%1%>&, %1%)"; // Error check: RealType error_result; if(false == ( @@ -208,22 +211,22 @@ inline RealType quantile(const complemented2_type<chi_squared_distribution<RealT } template <class RealType, class Policy> -inline RealType mean(const chi_squared_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const chi_squared_distribution<RealType, Policy>& dist) { // Mean of Chi-Squared distribution = v. return dist.degrees_of_freedom(); } // mean template <class RealType, class Policy> -inline RealType variance(const chi_squared_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType variance(const chi_squared_distribution<RealType, Policy>& dist) { // Variance of Chi-Squared distribution = 2v. return 2 * dist.degrees_of_freedom(); } // variance template <class RealType, class Policy> -inline RealType mode(const chi_squared_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const chi_squared_distribution<RealType, Policy>& dist) { RealType df = dist.degrees_of_freedom(); - static const char* function = "boost::math::mode(const chi_squared_distribution<%1%>&)"; + constexpr auto function = "boost::math::mode(const chi_squared_distribution<%1%>&)"; if(df < 2) return policies::raise_domain_error<RealType>( @@ -234,7 +237,7 @@ inline RealType mode(const chi_squared_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType skewness(const chi_squared_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const chi_squared_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // For ADL RealType df = dist.degrees_of_freedom(); @@ -242,14 +245,14 @@ inline RealType skewness(const chi_squared_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType kurtosis(const chi_squared_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const chi_squared_distribution<RealType, Policy>& dist) { RealType df = dist.degrees_of_freedom(); return 3 + 12 / df; } template <class RealType, class Policy> -inline RealType kurtosis_excess(const chi_squared_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const chi_squared_distribution<RealType, Policy>& dist) { RealType df = dist.degrees_of_freedom(); return 12 / df; @@ -264,12 +267,12 @@ namespace detail template <class RealType, class Policy> struct df_estimator { - df_estimator(RealType a, RealType b, RealType variance, RealType delta) + BOOST_MATH_GPU_ENABLED df_estimator(RealType a, RealType b, RealType variance, RealType delta) : alpha(a), beta(b), ratio(delta/variance) { // Constructor } - RealType operator()(const RealType& df) + BOOST_MATH_GPU_ENABLED RealType operator()(const RealType& df) { if(df <= tools::min_value<RealType>()) return 1; @@ -297,14 +300,14 @@ private: } // namespace detail template <class RealType, class Policy> -RealType chi_squared_distribution<RealType, Policy>::find_degrees_of_freedom( +BOOST_MATH_GPU_ENABLED RealType chi_squared_distribution<RealType, Policy>::find_degrees_of_freedom( RealType difference_from_variance, RealType alpha, RealType beta, RealType variance, RealType hint) { - static const char* function = "boost::math::chi_squared_distribution<%1%>::find_degrees_of_freedom(%1%,%1%,%1%,%1%,%1%)"; + constexpr auto function = "boost::math::chi_squared_distribution<%1%>::find_degrees_of_freedom(%1%,%1%,%1%,%1%,%1%)"; // Check for domain errors: RealType error_result; if(false == @@ -321,8 +324,8 @@ RealType chi_squared_distribution<RealType, Policy>::find_degrees_of_freedom( detail::df_estimator<RealType, Policy> f(alpha, beta, variance, difference_from_variance); tools::eps_tolerance<RealType> tol(policies::digits<RealType, Policy>()); - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); - std::pair<RealType, RealType> r = + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::pair<RealType, RealType> r = tools::bracket_and_solve_root(f, hint, RealType(2), false, tol, max_iter, Policy()); RealType result = r.first + (r.second - r.first) / 2; if(max_iter >= policies::get_max_root_iterations<Policy>()) diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/complement.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/complement.hpp index 5c062a7cdf..c63b8a5041 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/complement.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/complement.hpp @@ -1,5 +1,6 @@ // (C) Copyright John Maddock 2006. // (C) Copyright Paul A. Bristow 2006. +// (C) Copyright Matt Borland 2024 // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -7,6 +8,8 @@ #ifndef BOOST_STATS_COMPLEMENT_HPP #define BOOST_STATS_COMPLEMENT_HPP +#include <boost/math/tools/config.hpp> + // // This code really defines our own tuple type. // It would be nice to reuse boost::math::tuple @@ -19,7 +22,7 @@ namespace boost{ namespace math{ template <class Dist, class RealType> struct complemented2_type { - complemented2_type( + BOOST_MATH_GPU_ENABLED complemented2_type( const Dist& d, const RealType& p1) : dist(d), @@ -35,7 +38,7 @@ private: template <class Dist, class RealType1, class RealType2> struct complemented3_type { - complemented3_type( + BOOST_MATH_GPU_ENABLED complemented3_type( const Dist& d, const RealType1& p1, const RealType2& p2) @@ -53,7 +56,7 @@ private: template <class Dist, class RealType1, class RealType2, class RealType3> struct complemented4_type { - complemented4_type( + BOOST_MATH_GPU_ENABLED complemented4_type( const Dist& d, const RealType1& p1, const RealType2& p2, @@ -74,7 +77,7 @@ private: template <class Dist, class RealType1, class RealType2, class RealType3, class RealType4> struct complemented5_type { - complemented5_type( + BOOST_MATH_GPU_ENABLED complemented5_type( const Dist& d, const RealType1& p1, const RealType2& p2, @@ -98,7 +101,7 @@ private: template <class Dist, class RealType1, class RealType2, class RealType3, class RealType4, class RealType5> struct complemented6_type { - complemented6_type( + BOOST_MATH_GPU_ENABLED complemented6_type( const Dist& d, const RealType1& p1, const RealType2& p2, @@ -125,7 +128,7 @@ private: template <class Dist, class RealType1, class RealType2, class RealType3, class RealType4, class RealType5, class RealType6> struct complemented7_type { - complemented7_type( + BOOST_MATH_GPU_ENABLED complemented7_type( const Dist& d, const RealType1& p1, const RealType2& p2, @@ -153,37 +156,37 @@ private: }; template <class Dist, class RealType> -inline complemented2_type<Dist, RealType> complement(const Dist& d, const RealType& r) +BOOST_MATH_GPU_ENABLED inline complemented2_type<Dist, RealType> complement(const Dist& d, const RealType& r) { return complemented2_type<Dist, RealType>(d, r); } template <class Dist, class RealType1, class RealType2> -inline complemented3_type<Dist, RealType1, RealType2> complement(const Dist& d, const RealType1& r1, const RealType2& r2) +BOOST_MATH_GPU_ENABLED inline complemented3_type<Dist, RealType1, RealType2> complement(const Dist& d, const RealType1& r1, const RealType2& r2) { return complemented3_type<Dist, RealType1, RealType2>(d, r1, r2); } template <class Dist, class RealType1, class RealType2, class RealType3> -inline complemented4_type<Dist, RealType1, RealType2, RealType3> complement(const Dist& d, const RealType1& r1, const RealType2& r2, const RealType3& r3) +BOOST_MATH_GPU_ENABLED inline complemented4_type<Dist, RealType1, RealType2, RealType3> complement(const Dist& d, const RealType1& r1, const RealType2& r2, const RealType3& r3) { return complemented4_type<Dist, RealType1, RealType2, RealType3>(d, r1, r2, r3); } template <class Dist, class RealType1, class RealType2, class RealType3, class RealType4> -inline complemented5_type<Dist, RealType1, RealType2, RealType3, RealType4> complement(const Dist& d, const RealType1& r1, const RealType2& r2, const RealType3& r3, const RealType4& r4) +BOOST_MATH_GPU_ENABLED inline complemented5_type<Dist, RealType1, RealType2, RealType3, RealType4> complement(const Dist& d, const RealType1& r1, const RealType2& r2, const RealType3& r3, const RealType4& r4) { return complemented5_type<Dist, RealType1, RealType2, RealType3, RealType4>(d, r1, r2, r3, r4); } template <class Dist, class RealType1, class RealType2, class RealType3, class RealType4, class RealType5> -inline complemented6_type<Dist, RealType1, RealType2, RealType3, RealType4, RealType5> complement(const Dist& d, const RealType1& r1, const RealType2& r2, const RealType3& r3, const RealType4& r4, const RealType5& r5) +BOOST_MATH_GPU_ENABLED inline complemented6_type<Dist, RealType1, RealType2, RealType3, RealType4, RealType5> complement(const Dist& d, const RealType1& r1, const RealType2& r2, const RealType3& r3, const RealType4& r4, const RealType5& r5) { return complemented6_type<Dist, RealType1, RealType2, RealType3, RealType4, RealType5>(d, r1, r2, r3, r4, r5); } template <class Dist, class RealType1, class RealType2, class RealType3, class RealType4, class RealType5, class RealType6> -inline complemented7_type<Dist, RealType1, RealType2, RealType3, RealType4, RealType5, RealType6> complement(const Dist& d, const RealType1& r1, const RealType2& r2, const RealType3& r3, const RealType4& r4, const RealType5& r5, const RealType6& r6) +BOOST_MATH_GPU_ENABLED inline complemented7_type<Dist, RealType1, RealType2, RealType3, RealType4, RealType5, RealType6> complement(const Dist& d, const RealType1& r1, const RealType2& r2, const RealType3& r3, const RealType4& r4, const RealType5& r5, const RealType6& r6) { return complemented7_type<Dist, RealType1, RealType2, RealType3, RealType4, RealType5, RealType6>(d, r1, r2, r3, r4, r5, r6); } diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/detail/common_error_handling.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/detail/common_error_handling.hpp index f03f2c49b8..06e3c105bd 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/detail/common_error_handling.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/detail/common_error_handling.hpp @@ -1,5 +1,6 @@ // Copyright John Maddock 2006, 2007. // Copyright Paul A. Bristow 2006, 2007, 2012. +// Copyright Matt Borland 2024 // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. @@ -9,6 +10,8 @@ #ifndef BOOST_MATH_DISTRIBUTIONS_COMMON_ERROR_HANDLING_HPP #define BOOST_MATH_DISTRIBUTIONS_COMMON_ERROR_HANDLING_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/fpclassify.hpp> // using boost::math::isfinite; @@ -23,7 +26,7 @@ namespace boost{ namespace math{ namespace detail { template <class RealType, class Policy> -inline bool check_probability(const char* function, RealType const& prob, RealType* result, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline bool check_probability(const char* function, RealType const& prob, RealType* result, const Policy& pol) { if((prob < 0) || (prob > 1) || !(boost::math::isfinite)(prob)) { @@ -36,7 +39,7 @@ inline bool check_probability(const char* function, RealType const& prob, RealTy } template <class RealType, class Policy> -inline bool check_df(const char* function, RealType const& df, RealType* result, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline bool check_df(const char* function, RealType const& df, RealType* result, const Policy& pol) { // df > 0 but NOT +infinity allowed. if((df <= 0) || !(boost::math::isfinite)(df)) { @@ -49,7 +52,7 @@ inline bool check_df(const char* function, RealType const& df, RealType* result, } template <class RealType, class Policy> -inline bool check_df_gt0_to_inf(const char* function, RealType const& df, RealType* result, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline bool check_df_gt0_to_inf(const char* function, RealType const& df, RealType* result, const Policy& pol) { // df > 0 or +infinity are allowed. if( (df <= 0) || (boost::math::isnan)(df) ) { // is bad df <= 0 or NaN or -infinity. @@ -63,7 +66,7 @@ inline bool check_df_gt0_to_inf(const char* function, RealType const& df, RealTy template <class RealType, class Policy> -inline bool check_scale( +BOOST_MATH_GPU_ENABLED inline bool check_scale( const char* function, RealType scale, RealType* result, @@ -80,7 +83,7 @@ inline bool check_scale( } template <class RealType, class Policy> -inline bool check_location( +BOOST_MATH_GPU_ENABLED inline bool check_location( const char* function, RealType location, RealType* result, @@ -97,7 +100,7 @@ inline bool check_location( } template <class RealType, class Policy> -inline bool check_x( +BOOST_MATH_GPU_ENABLED inline bool check_x( const char* function, RealType x, RealType* result, @@ -118,7 +121,7 @@ inline bool check_x( } // bool check_x template <class RealType, class Policy> -inline bool check_x_not_NaN( +BOOST_MATH_GPU_ENABLED inline bool check_x_not_NaN( const char* function, RealType x, RealType* result, @@ -138,7 +141,7 @@ inline bool check_x_not_NaN( } // bool check_x_not_NaN template <class RealType, class Policy> -inline bool check_x_gt0( +BOOST_MATH_GPU_ENABLED inline bool check_x_gt0( const char* function, RealType x, RealType* result, @@ -159,7 +162,7 @@ inline bool check_x_gt0( } // bool check_x_gt0 template <class RealType, class Policy> -inline bool check_positive_x( +BOOST_MATH_GPU_ENABLED inline bool check_positive_x( const char* function, RealType x, RealType* result, @@ -179,13 +182,14 @@ inline bool check_positive_x( } template <class RealType, class Policy> -inline bool check_non_centrality( +BOOST_MATH_GPU_ENABLED inline bool check_non_centrality( const char* function, RealType ncp, RealType* result, const Policy& pol) { - static const RealType upper_limit = static_cast<RealType>((std::numeric_limits<long long>::max)()) - boost::math::policies::get_max_root_iterations<Policy>(); + BOOST_MATH_STATIC const RealType upper_limit = static_cast<RealType>((boost::math::numeric_limits<long long>::max)()) - boost::math::policies::get_max_root_iterations<Policy>(); + if((ncp < 0) || !(boost::math::isfinite)(ncp) || ncp > upper_limit) { *result = policies::raise_domain_error<RealType>( @@ -197,7 +201,7 @@ inline bool check_non_centrality( } template <class RealType, class Policy> -inline bool check_finite( +BOOST_MATH_GPU_ENABLED inline bool check_finite( const char* function, RealType x, RealType* result, diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/detail/derived_accessors.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/detail/derived_accessors.hpp index eb76409a1c..90679ef21f 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/detail/derived_accessors.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/detail/derived_accessors.hpp @@ -1,4 +1,5 @@ // Copyright John Maddock 2006. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -27,9 +28,13 @@ // can find the definitions referred to herein. // -#include <cmath> +#include <boost/math/tools/config.hpp> #include <boost/math/tools/assert.hpp> +#ifndef BOOST_MATH_HAS_NVRTC +#include <cmath> +#endif + #ifdef _MSC_VER # pragma warning(push) # pragma warning(disable: 4723) // potential divide by 0 @@ -39,24 +44,24 @@ namespace boost{ namespace math{ template <class Distribution> -typename Distribution::value_type variance(const Distribution& dist); +BOOST_MATH_GPU_ENABLED typename Distribution::value_type variance(const Distribution& dist); template <class Distribution> -inline typename Distribution::value_type standard_deviation(const Distribution& dist) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type standard_deviation(const Distribution& dist) { BOOST_MATH_STD_USING // ADL of sqrt. return sqrt(variance(dist)); } template <class Distribution> -inline typename Distribution::value_type variance(const Distribution& dist) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type variance(const Distribution& dist) { typename Distribution::value_type result = standard_deviation(dist); return result * result; } template <class Distribution, class RealType> -inline typename Distribution::value_type hazard(const Distribution& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type hazard(const Distribution& dist, const RealType& x) { // hazard function // http://www.itl.nist.gov/div898/handbook/eda/section3/eda362.htm#HAZ typedef typename Distribution::value_type value_type; @@ -75,7 +80,7 @@ inline typename Distribution::value_type hazard(const Distribution& dist, const } template <class Distribution, class RealType> -inline typename Distribution::value_type chf(const Distribution& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type chf(const Distribution& dist, const RealType& x) { // cumulative hazard function. // http://www.itl.nist.gov/div898/handbook/eda/section3/eda362.htm#HAZ BOOST_MATH_STD_USING @@ -83,7 +88,7 @@ inline typename Distribution::value_type chf(const Distribution& dist, const Rea } template <class Distribution> -inline typename Distribution::value_type coefficient_of_variation(const Distribution& dist) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type coefficient_of_variation(const Distribution& dist) { typedef typename Distribution::value_type value_type; typedef typename Distribution::policy_type policy_type; @@ -104,33 +109,33 @@ inline typename Distribution::value_type coefficient_of_variation(const Distribu // implementation with all arguments of the same type: // template <class Distribution, class RealType> -inline typename Distribution::value_type pdf(const Distribution& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type pdf(const Distribution& dist, const RealType& x) { typedef typename Distribution::value_type value_type; return pdf(dist, static_cast<value_type>(x)); } template <class Distribution, class RealType> -inline typename Distribution::value_type logpdf(const Distribution& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type logpdf(const Distribution& dist, const RealType& x) { using std::log; typedef typename Distribution::value_type value_type; return log(pdf(dist, static_cast<value_type>(x))); } template <class Distribution, class RealType> -inline typename Distribution::value_type cdf(const Distribution& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type cdf(const Distribution& dist, const RealType& x) { typedef typename Distribution::value_type value_type; return cdf(dist, static_cast<value_type>(x)); } template <class Distribution, class Realtype> -inline typename Distribution::value_type logcdf(const Distribution& dist, const Realtype& x) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type logcdf(const Distribution& dist, const Realtype& x) { using std::log; using value_type = typename Distribution::value_type; return log(cdf(dist, static_cast<value_type>(x))); } template <class Distribution, class RealType> -inline typename Distribution::value_type quantile(const Distribution& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type quantile(const Distribution& dist, const RealType& x) { typedef typename Distribution::value_type value_type; return quantile(dist, static_cast<value_type>(x)); @@ -144,14 +149,14 @@ inline typename Distribution::value_type chf(const Distribution& dist, const Rea } */ template <class Distribution, class RealType> -inline typename Distribution::value_type cdf(const complemented2_type<Distribution, RealType>& c) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type cdf(const complemented2_type<Distribution, RealType>& c) { typedef typename Distribution::value_type value_type; return cdf(complement(c.dist, static_cast<value_type>(c.param))); } template <class Distribution, class RealType> -inline typename Distribution::value_type logcdf(const complemented2_type<Distribution, RealType>& c) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type logcdf(const complemented2_type<Distribution, RealType>& c) { using std::log; typedef typename Distribution::value_type value_type; @@ -159,14 +164,14 @@ inline typename Distribution::value_type logcdf(const complemented2_type<Distrib } template <class Distribution, class RealType> -inline typename Distribution::value_type quantile(const complemented2_type<Distribution, RealType>& c) +BOOST_MATH_GPU_ENABLED inline typename Distribution::value_type quantile(const complemented2_type<Distribution, RealType>& c) { typedef typename Distribution::value_type value_type; return quantile(complement(c.dist, static_cast<value_type>(c.param))); } template <class Dist> -inline typename Dist::value_type median(const Dist& d) +BOOST_MATH_GPU_ENABLED inline typename Dist::value_type median(const Dist& d) { // median - default definition for those distributions for which a // simple closed form is not known, // and for which a domain_error and/or NaN generating function is NOT defined. diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/detail/generic_mode.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/detail/generic_mode.hpp index 19c8b2af01..9306c815da 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/detail/generic_mode.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/detail/generic_mode.hpp @@ -8,19 +8,22 @@ #ifndef BOOST_MATH_DISTRIBUTIONS_DETAIL_MODE_HPP #define BOOST_MATH_DISTRIBUTIONS_DETAIL_MODE_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/cstdint.hpp> #include <boost/math/tools/minima.hpp> // function minimization for mode #include <boost/math/policies/error_handling.hpp> #include <boost/math/distributions/fwd.hpp> +#include <boost/math/policies/policy.hpp> namespace boost{ namespace math{ namespace detail{ template <class Dist> struct pdf_minimizer { - pdf_minimizer(const Dist& d) + BOOST_MATH_GPU_ENABLED pdf_minimizer(const Dist& d) : dist(d) {} - typename Dist::value_type operator()(const typename Dist::value_type& x) + BOOST_MATH_GPU_ENABLED typename Dist::value_type operator()(const typename Dist::value_type& x) { return -pdf(dist, x); } @@ -29,7 +32,7 @@ private: }; template <class Dist> -typename Dist::value_type generic_find_mode(const Dist& dist, typename Dist::value_type guess, const char* function, typename Dist::value_type step = 0) +BOOST_MATH_GPU_ENABLED typename Dist::value_type generic_find_mode(const Dist& dist, typename Dist::value_type guess, const char* function, typename Dist::value_type step = 0) { BOOST_MATH_STD_USING typedef typename Dist::value_type value_type; @@ -70,7 +73,7 @@ typename Dist::value_type generic_find_mode(const Dist& dist, typename Dist::val v = pdf(dist, lower_bound); }while(maxval < v); - std::uintmax_t max_iter = policies::get_max_root_iterations<policy_type>(); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<policy_type>(); value_type result = tools::brent_find_minima( pdf_minimizer<Dist>(dist), @@ -90,7 +93,7 @@ typename Dist::value_type generic_find_mode(const Dist& dist, typename Dist::val // As above,but confined to the interval [0,1]: // template <class Dist> -typename Dist::value_type generic_find_mode_01(const Dist& dist, typename Dist::value_type guess, const char* function) +BOOST_MATH_GPU_ENABLED typename Dist::value_type generic_find_mode_01(const Dist& dist, typename Dist::value_type guess, const char* function) { BOOST_MATH_STD_USING typedef typename Dist::value_type value_type; @@ -121,7 +124,7 @@ typename Dist::value_type generic_find_mode_01(const Dist& dist, typename Dist:: v = pdf(dist, lower_bound); }while(maxval < v); - std::uintmax_t max_iter = policies::get_max_root_iterations<policy_type>(); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<policy_type>(); value_type result = tools::brent_find_minima( pdf_minimizer<Dist>(dist), diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/detail/generic_quantile.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/detail/generic_quantile.hpp index 438ac952f0..917532566f 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/detail/generic_quantile.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/detail/generic_quantile.hpp @@ -6,6 +6,10 @@ #ifndef BOOST_MATH_DISTIBUTIONS_DETAIL_GENERIC_QUANTILE_HPP #define BOOST_MATH_DISTIBUTIONS_DETAIL_GENERIC_QUANTILE_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/cstdint.hpp> + namespace boost{ namespace math{ namespace detail{ template <class Dist> @@ -14,10 +18,10 @@ struct generic_quantile_finder using value_type = typename Dist::value_type; using policy_type = typename Dist::policy_type; - generic_quantile_finder(const Dist& d, value_type t, bool c) + BOOST_MATH_GPU_ENABLED generic_quantile_finder(const Dist& d, value_type t, bool c) : dist(d), target(t), comp(c) {} - value_type operator()(const value_type& x) + BOOST_MATH_GPU_ENABLED value_type operator()(const value_type& x) { return comp ? value_type(target - cdf(complement(dist, x))) @@ -31,7 +35,7 @@ private: }; template <class T, class Policy> -inline T check_range_result(const T& x, const Policy& pol, const char* function) +BOOST_MATH_GPU_ENABLED inline T check_range_result(const T& x, const Policy& pol, const char* function) { if((x >= 0) && (x < tools::min_value<T>())) { @@ -49,7 +53,7 @@ inline T check_range_result(const T& x, const Policy& pol, const char* function) } template <class Dist> -typename Dist::value_type generic_quantile(const Dist& dist, const typename Dist::value_type& p, const typename Dist::value_type& guess, bool comp, const char* function) +BOOST_MATH_GPU_ENABLED typename Dist::value_type generic_quantile(const Dist& dist, const typename Dist::value_type& p, const typename Dist::value_type& guess, bool comp, const char* function) { using value_type = typename Dist::value_type; using policy_type = typename Dist::policy_type; @@ -78,8 +82,8 @@ typename Dist::value_type generic_quantile(const Dist& dist, const typename Dist generic_quantile_finder<Dist> f(dist, p, comp); tools::eps_tolerance<value_type> tol(policies::digits<value_type, forwarding_policy>() - 3); - std::uintmax_t max_iter = policies::get_max_root_iterations<forwarding_policy>(); - std::pair<value_type, value_type> ir = tools::bracket_and_solve_root( + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<forwarding_policy>(); + boost::math::pair<value_type, value_type> ir = tools::bracket_and_solve_root( f, guess, value_type(2), true, tol, max_iter, forwarding_policy()); value_type result = ir.first + (ir.second - ir.first) / 2; if(max_iter >= policies::get_max_root_iterations<forwarding_policy>()) diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/detail/inv_discrete_quantile.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/detail/inv_discrete_quantile.hpp index 739a866660..ac4a2b2318 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/detail/inv_discrete_quantile.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/detail/inv_discrete_quantile.hpp @@ -6,7 +6,11 @@ #ifndef BOOST_MATH_DISTRIBUTIONS_DETAIL_INV_DISCRETE_QUANTILE #define BOOST_MATH_DISTRIBUTIONS_DETAIL_INV_DISCRETE_QUANTILE -#include <algorithm> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/precision.hpp> +#include <boost/math/tools/toms748_solve.hpp> +#include <boost/math/tools/tuple.hpp> namespace boost{ namespace math{ namespace detail{ @@ -19,10 +23,10 @@ struct distribution_quantile_finder typedef typename Dist::value_type value_type; typedef typename Dist::policy_type policy_type; - distribution_quantile_finder(const Dist d, value_type p, bool c) + BOOST_MATH_GPU_ENABLED distribution_quantile_finder(const Dist d, value_type p, bool c) : dist(d), target(p), comp(c) {} - value_type operator()(value_type const& x) + BOOST_MATH_GPU_ENABLED value_type operator()(value_type const& x) { return comp ? value_type(target - cdf(complement(dist, x))) : value_type(cdf(dist, x) - target); } @@ -42,24 +46,24 @@ private: // in the root no longer being bracketed. // template <class Real, class Tol> -void adjust_bounds(Real& /* a */, Real& /* b */, Tol const& /* tol */){} +BOOST_MATH_GPU_ENABLED void adjust_bounds(Real& /* a */, Real& /* b */, Tol const& /* tol */){} template <class Real> -void adjust_bounds(Real& /* a */, Real& b, tools::equal_floor const& /* tol */) +BOOST_MATH_GPU_ENABLED void adjust_bounds(Real& /* a */, Real& b, tools::equal_floor const& /* tol */) { BOOST_MATH_STD_USING b -= tools::epsilon<Real>() * b; } template <class Real> -void adjust_bounds(Real& a, Real& /* b */, tools::equal_ceil const& /* tol */) +BOOST_MATH_GPU_ENABLED void adjust_bounds(Real& a, Real& /* b */, tools::equal_ceil const& /* tol */) { BOOST_MATH_STD_USING a += tools::epsilon<Real>() * a; } template <class Real> -void adjust_bounds(Real& a, Real& b, tools::equal_nearest_integer const& /* tol */) +BOOST_MATH_GPU_ENABLED void adjust_bounds(Real& a, Real& b, tools::equal_nearest_integer const& /* tol */) { BOOST_MATH_STD_USING a += tools::epsilon<Real>() * a; @@ -69,7 +73,7 @@ void adjust_bounds(Real& a, Real& b, tools::equal_nearest_integer const& /* tol // This is where all the work is done: // template <class Dist, class Tolerance> -typename Dist::value_type +BOOST_MATH_GPU_ENABLED typename Dist::value_type do_inverse_discrete_quantile( const Dist& dist, const typename Dist::value_type& p, @@ -78,12 +82,12 @@ typename Dist::value_type const typename Dist::value_type& multiplier, typename Dist::value_type adder, const Tolerance& tol, - std::uintmax_t& max_iter) + boost::math::uintmax_t& max_iter) { typedef typename Dist::value_type value_type; typedef typename Dist::policy_type policy_type; - static const char* function = "boost::math::do_inverse_discrete_quantile<%1%>"; + constexpr auto function = "boost::math::do_inverse_discrete_quantile<%1%>"; BOOST_MATH_STD_USING @@ -100,7 +104,7 @@ typename Dist::value_type guess = min_bound; value_type fa = f(guess); - std::uintmax_t count = max_iter - 1; + boost::math::uintmax_t count = max_iter - 1; value_type fb(fa), a(guess), b =0; // Compiler warning C4701: potentially uninitialized local variable 'b' used if(fa == 0) @@ -130,7 +134,7 @@ typename Dist::value_type else { b = a; - a = (std::max)(value_type(b - 1), value_type(0)); + a = BOOST_MATH_GPU_SAFE_MAX(value_type(b - 1), value_type(0)); if(a < min_bound) a = min_bound; fa = f(a); @@ -153,7 +157,7 @@ typename Dist::value_type // If we're looking for a large result, then bump "adder" up // by a bit to increase our chances of bracketing the root: // - //adder = (std::max)(adder, 0.001f * guess); + //adder = BOOST_MATH_GPU_SAFE_MAX(adder, 0.001f * guess); if(fa < 0) { b = a + adder; @@ -162,7 +166,7 @@ typename Dist::value_type } else { - b = (std::max)(value_type(a - adder), value_type(0)); + b = BOOST_MATH_GPU_SAFE_MAX(value_type(a - adder), value_type(0)); if(b < min_bound) b = min_bound; } @@ -186,7 +190,7 @@ typename Dist::value_type } else { - b = (std::max)(value_type(a - adder), value_type(0)); + b = BOOST_MATH_GPU_SAFE_MAX(value_type(a - adder), value_type(0)); if(b < min_bound) b = min_bound; } @@ -195,9 +199,8 @@ typename Dist::value_type } if(a > b) { - using std::swap; - swap(a, b); - swap(fa, fb); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(fa, fb); } } // @@ -274,7 +277,7 @@ typename Dist::value_type // // Go ahead and find the root: // - std::pair<value_type, value_type> r = toms748_solve(f, a, b, fa, fb, tol, count, policy_type()); + boost::math::pair<value_type, value_type> r = toms748_solve(f, a, b, fa, fb, tol, count, policy_type()); max_iter += count; if (max_iter >= policies::get_max_root_iterations<policy_type>()) { @@ -293,7 +296,7 @@ typename Dist::value_type // is very close 1. // template <class Dist> -inline typename Dist::value_type round_to_floor(const Dist& d, typename Dist::value_type result, typename Dist::value_type p, bool c) +BOOST_MATH_GPU_ENABLED inline typename Dist::value_type round_to_floor(const Dist& d, typename Dist::value_type result, typename Dist::value_type p, bool c) { BOOST_MATH_STD_USING typename Dist::value_type cc = ceil(result); @@ -307,7 +310,11 @@ inline typename Dist::value_type round_to_floor(const Dist& d, typename Dist::va // while(result != 0) { + #ifdef BOOST_MATH_HAS_GPU_SUPPORT + cc = floor(::nextafter(result, -tools::max_value<typename Dist::value_type>())); + #else cc = floor(float_prior(result)); + #endif if(cc < support(d).first) break; pp = c ? cdf(complement(d, cc)) : cdf(d, cc); @@ -325,7 +332,7 @@ inline typename Dist::value_type round_to_floor(const Dist& d, typename Dist::va #endif template <class Dist> -inline typename Dist::value_type round_to_ceil(const Dist& d, typename Dist::value_type result, typename Dist::value_type p, bool c) +BOOST_MATH_GPU_ENABLED inline typename Dist::value_type round_to_ceil(const Dist& d, typename Dist::value_type result, typename Dist::value_type p, bool c) { BOOST_MATH_STD_USING typename Dist::value_type cc = floor(result); @@ -339,7 +346,11 @@ inline typename Dist::value_type round_to_ceil(const Dist& d, typename Dist::val // while(true) { + #ifdef BOOST_MATH_HAS_GPU_SUPPORT + cc = ceil(::nextafter(result, tools::max_value<typename Dist::value_type>())); + #else cc = ceil(float_next(result)); + #endif if(cc > support(d).second) break; pp = c ? cdf(complement(d, cc)) : cdf(d, cc); @@ -362,7 +373,7 @@ inline typename Dist::value_type round_to_ceil(const Dist& d, typename Dist::val // to an int where required. // template <class Dist> -inline typename Dist::value_type +BOOST_MATH_GPU_ENABLED inline typename Dist::value_type inverse_discrete_quantile( const Dist& dist, typename Dist::value_type p, @@ -371,7 +382,7 @@ inline typename Dist::value_type const typename Dist::value_type& multiplier, const typename Dist::value_type& adder, const policies::discrete_quantile<policies::real>&, - std::uintmax_t& max_iter) + boost::math::uintmax_t& max_iter) { if(p > 0.5) { @@ -393,7 +404,7 @@ inline typename Dist::value_type } template <class Dist> -inline typename Dist::value_type +BOOST_MATH_GPU_ENABLED inline typename Dist::value_type inverse_discrete_quantile( const Dist& dist, const typename Dist::value_type& p, @@ -402,7 +413,7 @@ inline typename Dist::value_type const typename Dist::value_type& multiplier, const typename Dist::value_type& adder, const policies::discrete_quantile<policies::integer_round_outwards>&, - std::uintmax_t& max_iter) + boost::math::uintmax_t& max_iter) { typedef typename Dist::value_type value_type; BOOST_MATH_STD_USING @@ -436,7 +447,7 @@ inline typename Dist::value_type } template <class Dist> -inline typename Dist::value_type +BOOST_MATH_GPU_ENABLED inline typename Dist::value_type inverse_discrete_quantile( const Dist& dist, const typename Dist::value_type& p, @@ -445,7 +456,7 @@ inline typename Dist::value_type const typename Dist::value_type& multiplier, const typename Dist::value_type& adder, const policies::discrete_quantile<policies::integer_round_inwards>&, - std::uintmax_t& max_iter) + boost::math::uintmax_t& max_iter) { typedef typename Dist::value_type value_type; BOOST_MATH_STD_USING @@ -479,7 +490,7 @@ inline typename Dist::value_type } template <class Dist> -inline typename Dist::value_type +BOOST_MATH_GPU_ENABLED inline typename Dist::value_type inverse_discrete_quantile( const Dist& dist, const typename Dist::value_type& p, @@ -488,7 +499,7 @@ inline typename Dist::value_type const typename Dist::value_type& multiplier, const typename Dist::value_type& adder, const policies::discrete_quantile<policies::integer_round_down>&, - std::uintmax_t& max_iter) + boost::math::uintmax_t& max_iter) { typedef typename Dist::value_type value_type; BOOST_MATH_STD_USING @@ -507,7 +518,7 @@ inline typename Dist::value_type } template <class Dist> -inline typename Dist::value_type +BOOST_MATH_GPU_ENABLED inline typename Dist::value_type inverse_discrete_quantile( const Dist& dist, const typename Dist::value_type& p, @@ -516,7 +527,7 @@ inline typename Dist::value_type const typename Dist::value_type& multiplier, const typename Dist::value_type& adder, const policies::discrete_quantile<policies::integer_round_up>&, - std::uintmax_t& max_iter) + boost::math::uintmax_t& max_iter) { BOOST_MATH_STD_USING typename Dist::value_type pp = c ? 1 - p : p; @@ -534,7 +545,7 @@ inline typename Dist::value_type } template <class Dist> -inline typename Dist::value_type +BOOST_MATH_GPU_ENABLED inline typename Dist::value_type inverse_discrete_quantile( const Dist& dist, const typename Dist::value_type& p, @@ -543,7 +554,7 @@ inline typename Dist::value_type const typename Dist::value_type& multiplier, const typename Dist::value_type& adder, const policies::discrete_quantile<policies::integer_round_nearest>&, - std::uintmax_t& max_iter) + boost::math::uintmax_t& max_iter) { typedef typename Dist::value_type value_type; BOOST_MATH_STD_USING diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/exponential.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/exponential.hpp index 164e01f205..9d45ac4933 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/exponential.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/exponential.hpp @@ -1,4 +1,5 @@ // Copyright John Maddock 2006. +// Copyright Matt Borland 2024 // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -6,12 +7,16 @@ #ifndef BOOST_STATS_EXPONENTIAL_HPP #define BOOST_STATS_EXPONENTIAL_HPP -#include <boost/math/distributions/fwd.hpp> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/special_functions/log1p.hpp> #include <boost/math/special_functions/expm1.hpp> #include <boost/math/distributions/complement.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> #ifdef _MSC_VER # pragma warning(push) @@ -19,8 +24,11 @@ # pragma warning(disable: 4702) // unreachable code (return after domain_error throw). #endif +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/distributions/fwd.hpp> #include <utility> #include <cmath> +#endif namespace boost{ namespace math{ @@ -29,7 +37,7 @@ namespace detail{ // Error check: // template <class RealType, class Policy> -inline bool verify_lambda(const char* function, RealType l, RealType* presult, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline bool verify_lambda(const char* function, RealType l, RealType* presult, const Policy& pol) { if((l <= 0) || !(boost::math::isfinite)(l)) { @@ -42,7 +50,7 @@ inline bool verify_lambda(const char* function, RealType l, RealType* presult, c } template <class RealType, class Policy> -inline bool verify_exp_x(const char* function, RealType x, RealType* presult, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline bool verify_exp_x(const char* function, RealType x, RealType* presult, const Policy& pol) { if((x < 0) || (boost::math::isnan)(x)) { @@ -63,14 +71,14 @@ public: using value_type = RealType; using policy_type = Policy; - explicit exponential_distribution(RealType l_lambda = 1) + BOOST_MATH_GPU_ENABLED explicit exponential_distribution(RealType l_lambda = 1) : m_lambda(l_lambda) { RealType err; detail::verify_lambda("boost::math::exponential_distribution<%1%>::exponential_distribution", l_lambda, &err, Policy()); } // exponential_distribution - RealType lambda()const { return m_lambda; } + BOOST_MATH_GPU_ENABLED RealType lambda()const { return m_lambda; } private: RealType m_lambda; @@ -84,35 +92,35 @@ exponential_distribution(RealType)->exponential_distribution<typename boost::mat #endif template <class RealType, class Policy> -inline std::pair<RealType, RealType> range(const exponential_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> range(const exponential_distribution<RealType, Policy>& /*dist*/) { // Range of permissible values for random variable x. - if (std::numeric_limits<RealType>::has_infinity) + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) { - return std::pair<RealType, RealType>(static_cast<RealType>(0), std::numeric_limits<RealType>::infinity()); // 0 to + infinity. + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), boost::math::numeric_limits<RealType>::infinity()); // 0 to + infinity. } else { using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // 0 to + max + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // 0 to + max } } template <class RealType, class Policy> -inline std::pair<RealType, RealType> support(const exponential_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> support(const exponential_distribution<RealType, Policy>& /*dist*/) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; using boost::math::tools::min_value; - return std::pair<RealType, RealType>(min_value<RealType>(), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(min_value<RealType>(), max_value<RealType>()); // min_value<RealType>() to avoid a discontinuity at x = 0. } template <class RealType, class Policy> -inline RealType pdf(const exponential_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType pdf(const exponential_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::pdf(const exponential_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const exponential_distribution<%1%>&, %1%)"; RealType lambda = dist.lambda(); RealType result = 0; @@ -128,14 +136,14 @@ inline RealType pdf(const exponential_distribution<RealType, Policy>& dist, cons } // pdf template <class RealType, class Policy> -inline RealType logpdf(const exponential_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logpdf(const exponential_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::logpdf(const exponential_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logpdf(const exponential_distribution<%1%>&, %1%)"; RealType lambda = dist.lambda(); - RealType result = -std::numeric_limits<RealType>::infinity(); + RealType result = -boost::math::numeric_limits<RealType>::infinity(); if(0 == detail::verify_lambda(function, lambda, &result, Policy())) return result; if(0 == detail::verify_exp_x(function, x, &result, Policy())) @@ -146,11 +154,11 @@ inline RealType logpdf(const exponential_distribution<RealType, Policy>& dist, c } // logpdf template <class RealType, class Policy> -inline RealType cdf(const exponential_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const exponential_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(const exponential_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const exponential_distribution<%1%>&, %1%)"; RealType result = 0; RealType lambda = dist.lambda(); @@ -164,11 +172,11 @@ inline RealType cdf(const exponential_distribution<RealType, Policy>& dist, cons } // cdf template <class RealType, class Policy> -inline RealType logcdf(const exponential_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logcdf(const exponential_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::logcdf(const exponential_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logcdf(const exponential_distribution<%1%>&, %1%)"; RealType result = 0; RealType lambda = dist.lambda(); @@ -182,11 +190,11 @@ inline RealType logcdf(const exponential_distribution<RealType, Policy>& dist, c } // cdf template <class RealType, class Policy> -inline RealType quantile(const exponential_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const exponential_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const exponential_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const exponential_distribution<%1%>&, %1%)"; RealType result = 0; RealType lambda = dist.lambda(); @@ -205,11 +213,11 @@ inline RealType quantile(const exponential_distribution<RealType, Policy>& dist, } // quantile template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<exponential_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<exponential_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(const exponential_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const exponential_distribution<%1%>&, %1%)"; RealType result = 0; RealType lambda = c.dist.lambda(); @@ -226,11 +234,11 @@ inline RealType cdf(const complemented2_type<exponential_distribution<RealType, } template <class RealType, class Policy> -inline RealType logcdf(const complemented2_type<exponential_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType logcdf(const complemented2_type<exponential_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::logcdf(const exponential_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logcdf(const exponential_distribution<%1%>&, %1%)"; RealType result = 0; RealType lambda = c.dist.lambda(); @@ -247,11 +255,11 @@ inline RealType logcdf(const complemented2_type<exponential_distribution<RealTyp } template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<exponential_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<exponential_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const exponential_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const exponential_distribution<%1%>&, %1%)"; RealType result = 0; RealType lambda = c.dist.lambda(); @@ -272,7 +280,7 @@ inline RealType quantile(const complemented2_type<exponential_distribution<RealT } template <class RealType, class Policy> -inline RealType mean(const exponential_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const exponential_distribution<RealType, Policy>& dist) { RealType result = 0; RealType lambda = dist.lambda(); @@ -282,7 +290,7 @@ inline RealType mean(const exponential_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType standard_deviation(const exponential_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType standard_deviation(const exponential_distribution<RealType, Policy>& dist) { RealType result = 0; RealType lambda = dist.lambda(); @@ -292,38 +300,38 @@ inline RealType standard_deviation(const exponential_distribution<RealType, Poli } template <class RealType, class Policy> -inline RealType mode(const exponential_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType mode(const exponential_distribution<RealType, Policy>& /*dist*/) { return 0; } template <class RealType, class Policy> -inline RealType median(const exponential_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType median(const exponential_distribution<RealType, Policy>& dist) { using boost::math::constants::ln_two; return ln_two<RealType>() / dist.lambda(); // ln(2) / lambda } template <class RealType, class Policy> -inline RealType skewness(const exponential_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const exponential_distribution<RealType, Policy>& /*dist*/) { return 2; } template <class RealType, class Policy> -inline RealType kurtosis(const exponential_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const exponential_distribution<RealType, Policy>& /*dist*/) { return 9; } template <class RealType, class Policy> -inline RealType kurtosis_excess(const exponential_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const exponential_distribution<RealType, Policy>& /*dist*/) { return 6; } template <class RealType, class Policy> -inline RealType entropy(const exponential_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType entropy(const exponential_distribution<RealType, Policy>& dist) { using std::log; return 1 - log(dist.lambda()); diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/extreme_value.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/extreme_value.hpp index 1bde2743c0..73454d29d4 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/extreme_value.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/extreme_value.hpp @@ -1,4 +1,5 @@ // Copyright John Maddock 2006. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -6,12 +7,17 @@ #ifndef BOOST_STATS_EXTREME_VALUE_HPP #define BOOST_STATS_EXTREME_VALUE_HPP -#include <boost/math/distributions/fwd.hpp> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/precision.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/special_functions/log1p.hpp> #include <boost/math/special_functions/expm1.hpp> #include <boost/math/distributions/complement.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> // // This is the maximum extreme value distribution, see @@ -20,8 +26,11 @@ // Also known as a Fisher-Tippett distribution, a log-Weibull // distribution or a Gumbel distribution. +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/distributions/fwd.hpp> #include <utility> #include <cmath> +#endif #ifdef _MSC_VER # pragma warning(push) @@ -35,7 +44,7 @@ namespace detail{ // Error check: // template <class RealType, class Policy> -inline bool verify_scale_b(const char* function, RealType b, RealType* presult, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline bool verify_scale_b(const char* function, RealType b, RealType* presult, const Policy& pol) { if((b <= 0) || !(boost::math::isfinite)(b)) { @@ -56,7 +65,7 @@ public: using value_type = RealType; using policy_type = Policy; - explicit extreme_value_distribution(RealType a = 0, RealType b = 1) + BOOST_MATH_GPU_ENABLED explicit extreme_value_distribution(RealType a = 0, RealType b = 1) : m_a(a), m_b(b) { RealType err; @@ -64,8 +73,8 @@ public: detail::check_finite("boost::math::extreme_value_distribution<%1%>::extreme_value_distribution", a, &err, Policy()); } // extreme_value_distribution - RealType location()const { return m_a; } - RealType scale()const { return m_b; } + BOOST_MATH_GPU_ENABLED RealType location()const { return m_a; } + BOOST_MATH_GPU_ENABLED RealType scale()const { return m_b; } private: RealType m_a; @@ -82,28 +91,28 @@ extreme_value_distribution(RealType,RealType)->extreme_value_distribution<typena #endif template <class RealType, class Policy> -inline std::pair<RealType, RealType> range(const extreme_value_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> range(const extreme_value_distribution<RealType, Policy>& /*dist*/) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>( - std::numeric_limits<RealType>::has_infinity ? -std::numeric_limits<RealType>::infinity() : -max_value<RealType>(), - std::numeric_limits<RealType>::has_infinity ? std::numeric_limits<RealType>::infinity() : max_value<RealType>()); + return boost::math::pair<RealType, RealType>( + boost::math::numeric_limits<RealType>::has_infinity ? -boost::math::numeric_limits<RealType>::infinity() : -max_value<RealType>(), + boost::math::numeric_limits<RealType>::has_infinity ? boost::math::numeric_limits<RealType>::infinity() : max_value<RealType>()); } template <class RealType, class Policy> -inline std::pair<RealType, RealType> support(const extreme_value_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> support(const extreme_value_distribution<RealType, Policy>& /*dist*/) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); } template <class RealType, class Policy> -inline RealType pdf(const extreme_value_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType pdf(const extreme_value_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::pdf(const extreme_value_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const extreme_value_distribution<%1%>&, %1%)"; RealType a = dist.location(); RealType b = dist.scale(); @@ -124,15 +133,15 @@ inline RealType pdf(const extreme_value_distribution<RealType, Policy>& dist, co } // pdf template <class RealType, class Policy> -inline RealType logpdf(const extreme_value_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logpdf(const extreme_value_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::logpdf(const extreme_value_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logpdf(const extreme_value_distribution<%1%>&, %1%)"; RealType a = dist.location(); RealType b = dist.scale(); - RealType result = -std::numeric_limits<RealType>::infinity(); + RealType result = -boost::math::numeric_limits<RealType>::infinity(); if(0 == detail::verify_scale_b(function, b, &result, Policy())) return result; if(0 == detail::check_finite(function, a, &result, Policy())) @@ -149,11 +158,11 @@ inline RealType logpdf(const extreme_value_distribution<RealType, Policy>& dist, } // logpdf template <class RealType, class Policy> -inline RealType cdf(const extreme_value_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const extreme_value_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(const extreme_value_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const extreme_value_distribution<%1%>&, %1%)"; if((boost::math::isinf)(x)) return x < 0 ? 0.0f : 1.0f; @@ -175,11 +184,11 @@ inline RealType cdf(const extreme_value_distribution<RealType, Policy>& dist, co } // cdf template <class RealType, class Policy> -inline RealType logcdf(const extreme_value_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logcdf(const extreme_value_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::logcdf(const extreme_value_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logcdf(const extreme_value_distribution<%1%>&, %1%)"; if((boost::math::isinf)(x)) return x < 0 ? 0.0f : 1.0f; @@ -201,11 +210,11 @@ inline RealType logcdf(const extreme_value_distribution<RealType, Policy>& dist, } // logcdf template <class RealType, class Policy> -RealType quantile(const extreme_value_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED RealType quantile(const extreme_value_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const extreme_value_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const extreme_value_distribution<%1%>&, %1%)"; RealType a = dist.location(); RealType b = dist.scale(); @@ -228,11 +237,11 @@ RealType quantile(const extreme_value_distribution<RealType, Policy>& dist, cons } // quantile template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<extreme_value_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<extreme_value_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(const extreme_value_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const extreme_value_distribution<%1%>&, %1%)"; if((boost::math::isinf)(c.param)) return c.param < 0 ? 1.0f : 0.0f; @@ -252,11 +261,11 @@ inline RealType cdf(const complemented2_type<extreme_value_distribution<RealType } template <class RealType, class Policy> -inline RealType logcdf(const complemented2_type<extreme_value_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType logcdf(const complemented2_type<extreme_value_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::logcdf(const extreme_value_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logcdf(const extreme_value_distribution<%1%>&, %1%)"; if((boost::math::isinf)(c.param)) return c.param < 0 ? 1.0f : 0.0f; @@ -276,11 +285,11 @@ inline RealType logcdf(const complemented2_type<extreme_value_distribution<RealT } template <class RealType, class Policy> -RealType quantile(const complemented2_type<extreme_value_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED RealType quantile(const complemented2_type<extreme_value_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const extreme_value_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const extreme_value_distribution<%1%>&, %1%)"; RealType a = c.dist.location(); RealType b = c.dist.scale(); @@ -304,7 +313,7 @@ RealType quantile(const complemented2_type<extreme_value_distribution<RealType, } template <class RealType, class Policy> -inline RealType mean(const extreme_value_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const extreme_value_distribution<RealType, Policy>& dist) { RealType a = dist.location(); RealType b = dist.scale(); @@ -317,7 +326,7 @@ inline RealType mean(const extreme_value_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType standard_deviation(const extreme_value_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType standard_deviation(const extreme_value_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions. @@ -331,20 +340,20 @@ inline RealType standard_deviation(const extreme_value_distribution<RealType, Po } template <class RealType, class Policy> -inline RealType mode(const extreme_value_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const extreme_value_distribution<RealType, Policy>& dist) { return dist.location(); } template <class RealType, class Policy> -inline RealType median(const extreme_value_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType median(const extreme_value_distribution<RealType, Policy>& dist) { using constants::ln_ln_two; return dist.location() - dist.scale() * ln_ln_two<RealType>(); } template <class RealType, class Policy> -inline RealType skewness(const extreme_value_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const extreme_value_distribution<RealType, Policy>& /*dist*/) { // // This is 12 * sqrt(6) * zeta(3) / pi^3: @@ -354,14 +363,14 @@ inline RealType skewness(const extreme_value_distribution<RealType, Policy>& /*d } template <class RealType, class Policy> -inline RealType kurtosis(const extreme_value_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const extreme_value_distribution<RealType, Policy>& /*dist*/) { // See http://mathworld.wolfram.com/ExtremeValueDistribution.html return RealType(27) / 5; } template <class RealType, class Policy> -inline RealType kurtosis_excess(const extreme_value_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const extreme_value_distribution<RealType, Policy>& /*dist*/) { // See http://mathworld.wolfram.com/ExtremeValueDistribution.html return RealType(12) / 5; diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/fisher_f.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/fisher_f.hpp index e22cdf50ae..56b288d88e 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/fisher_f.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/fisher_f.hpp @@ -1,5 +1,5 @@ // Copyright John Maddock 2006. - +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt @@ -8,14 +8,15 @@ #ifndef BOOST_MATH_DISTRIBUTIONS_FISHER_F_HPP #define BOOST_MATH_DISTRIBUTIONS_FISHER_F_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/promotion.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/beta.hpp> // for incomplete beta. #include <boost/math/distributions/complement.hpp> // complements #include <boost/math/distributions/detail/common_error_handling.hpp> // error checks #include <boost/math/special_functions/fpclassify.hpp> -#include <utility> - namespace boost{ namespace math{ template <class RealType = double, class Policy = policies::policy<> > @@ -25,9 +26,9 @@ public: typedef RealType value_type; typedef Policy policy_type; - fisher_f_distribution(const RealType& i, const RealType& j) : m_df1(i), m_df2(j) + BOOST_MATH_GPU_ENABLED fisher_f_distribution(const RealType& i, const RealType& j) : m_df1(i), m_df2(j) { - static const char* function = "fisher_f_distribution<%1%>::fisher_f_distribution"; + constexpr auto function = "fisher_f_distribution<%1%>::fisher_f_distribution"; RealType result; detail::check_df( function, m_df1, &result, Policy()); @@ -35,11 +36,11 @@ public: function, m_df2, &result, Policy()); } // fisher_f_distribution - RealType degrees_of_freedom1()const + BOOST_MATH_GPU_ENABLED RealType degrees_of_freedom1()const { return m_df1; } - RealType degrees_of_freedom2()const + BOOST_MATH_GPU_ENABLED RealType degrees_of_freedom2()const { return m_df2; } @@ -60,29 +61,29 @@ fisher_f_distribution(RealType,RealType)->fisher_f_distribution<typename boost:: #endif template <class RealType, class Policy> -inline const std::pair<RealType, RealType> range(const fisher_f_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const fisher_f_distribution<RealType, Policy>& /*dist*/) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> -inline const std::pair<RealType, RealType> support(const fisher_f_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const fisher_f_distribution<RealType, Policy>& /*dist*/) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> -RealType pdf(const fisher_f_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED RealType pdf(const fisher_f_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions RealType df1 = dist.degrees_of_freedom1(); RealType df2 = dist.degrees_of_freedom2(); // Error check: RealType error_result = 0; - static const char* function = "boost::math::pdf(fisher_f_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::pdf(fisher_f_distribution<%1%> const&, %1%)"; if(false == (detail::check_df( function, df1, &error_result, Policy()) && detail::check_df( @@ -132,9 +133,9 @@ RealType pdf(const fisher_f_distribution<RealType, Policy>& dist, const RealType } // pdf template <class RealType, class Policy> -inline RealType cdf(const fisher_f_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const fisher_f_distribution<RealType, Policy>& dist, const RealType& x) { - static const char* function = "boost::math::cdf(fisher_f_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::cdf(fisher_f_distribution<%1%> const&, %1%)"; RealType df1 = dist.degrees_of_freedom1(); RealType df2 = dist.degrees_of_freedom2(); // Error check: @@ -167,9 +168,9 @@ inline RealType cdf(const fisher_f_distribution<RealType, Policy>& dist, const R } // cdf template <class RealType, class Policy> -inline RealType quantile(const fisher_f_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const fisher_f_distribution<RealType, Policy>& dist, const RealType& p) { - static const char* function = "boost::math::quantile(fisher_f_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::quantile(fisher_f_distribution<%1%> const&, %1%)"; RealType df1 = dist.degrees_of_freedom1(); RealType df2 = dist.degrees_of_freedom2(); // Error check: @@ -192,9 +193,9 @@ inline RealType quantile(const fisher_f_distribution<RealType, Policy>& dist, co } // quantile template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<fisher_f_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<fisher_f_distribution<RealType, Policy>, RealType>& c) { - static const char* function = "boost::math::cdf(fisher_f_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::cdf(fisher_f_distribution<%1%> const&, %1%)"; RealType df1 = c.dist.degrees_of_freedom1(); RealType df2 = c.dist.degrees_of_freedom2(); RealType x = c.param; @@ -228,9 +229,9 @@ inline RealType cdf(const complemented2_type<fisher_f_distribution<RealType, Pol } template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<fisher_f_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<fisher_f_distribution<RealType, Policy>, RealType>& c) { - static const char* function = "boost::math::quantile(fisher_f_distribution<%1%> const&, %1%)"; + constexpr auto function = "boost::math::quantile(fisher_f_distribution<%1%> const&, %1%)"; RealType df1 = c.dist.degrees_of_freedom1(); RealType df2 = c.dist.degrees_of_freedom2(); RealType p = c.param; @@ -252,9 +253,9 @@ inline RealType quantile(const complemented2_type<fisher_f_distribution<RealType } template <class RealType, class Policy> -inline RealType mean(const fisher_f_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const fisher_f_distribution<RealType, Policy>& dist) { // Mean of F distribution = v. - static const char* function = "boost::math::mean(fisher_f_distribution<%1%> const&)"; + constexpr auto function = "boost::math::mean(fisher_f_distribution<%1%> const&)"; RealType df1 = dist.degrees_of_freedom1(); RealType df2 = dist.degrees_of_freedom2(); // Error check: @@ -273,9 +274,9 @@ inline RealType mean(const fisher_f_distribution<RealType, Policy>& dist) } // mean template <class RealType, class Policy> -inline RealType variance(const fisher_f_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType variance(const fisher_f_distribution<RealType, Policy>& dist) { // Variance of F distribution. - static const char* function = "boost::math::variance(fisher_f_distribution<%1%> const&)"; + constexpr auto function = "boost::math::variance(fisher_f_distribution<%1%> const&)"; RealType df1 = dist.degrees_of_freedom1(); RealType df2 = dist.degrees_of_freedom2(); // Error check: @@ -294,9 +295,9 @@ inline RealType variance(const fisher_f_distribution<RealType, Policy>& dist) } // variance template <class RealType, class Policy> -inline RealType mode(const fisher_f_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const fisher_f_distribution<RealType, Policy>& dist) { - static const char* function = "boost::math::mode(fisher_f_distribution<%1%> const&)"; + constexpr auto function = "boost::math::mode(fisher_f_distribution<%1%> const&)"; RealType df1 = dist.degrees_of_freedom1(); RealType df2 = dist.degrees_of_freedom2(); // Error check: @@ -317,15 +318,15 @@ inline RealType mode(const fisher_f_distribution<RealType, Policy>& dist) //template <class RealType, class Policy> //inline RealType median(const fisher_f_distribution<RealType, Policy>& dist) //{ // Median of Fisher F distribution is not defined. -// return tools::domain_error<RealType>(BOOST_CURRENT_FUNCTION, "Median is not implemented, result is %1%!", std::numeric_limits<RealType>::quiet_NaN()); +// return tools::domain_error<RealType>(BOOST_CURRENT_FUNCTION, "Median is not implemented, result is %1%!", boost::math::numeric_limits<RealType>::quiet_NaN()); // } // median // Now implemented via quantile(half) in derived accessors. template <class RealType, class Policy> -inline RealType skewness(const fisher_f_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const fisher_f_distribution<RealType, Policy>& dist) { - static const char* function = "boost::math::skewness(fisher_f_distribution<%1%> const&)"; + constexpr auto function = "boost::math::skewness(fisher_f_distribution<%1%> const&)"; BOOST_MATH_STD_USING // ADL of std names // See http://mathworld.wolfram.com/F-Distribution.html RealType df1 = dist.degrees_of_freedom1(); @@ -346,18 +347,18 @@ inline RealType skewness(const fisher_f_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -RealType kurtosis_excess(const fisher_f_distribution<RealType, Policy>& dist); +BOOST_MATH_GPU_ENABLED RealType kurtosis_excess(const fisher_f_distribution<RealType, Policy>& dist); template <class RealType, class Policy> -inline RealType kurtosis(const fisher_f_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const fisher_f_distribution<RealType, Policy>& dist) { return 3 + kurtosis_excess(dist); } template <class RealType, class Policy> -inline RealType kurtosis_excess(const fisher_f_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const fisher_f_distribution<RealType, Policy>& dist) { - static const char* function = "boost::math::kurtosis_excess(fisher_f_distribution<%1%> const&)"; + constexpr auto function = "boost::math::kurtosis_excess(fisher_f_distribution<%1%> const&)"; // See http://mathworld.wolfram.com/F-Distribution.html RealType df1 = dist.degrees_of_freedom1(); RealType df2 = dist.degrees_of_freedom2(); diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/fwd.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/fwd.hpp index a3c1a41df5..ccb3c0cd1b 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/fwd.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/fwd.hpp @@ -67,6 +67,18 @@ template <class RealType, class Policy> class kolmogorov_smirnov_distribution; template <class RealType, class Policy> +class landau_distribution; + +template <class RealType, class Policy> +class mapairy_distribution; + +template <class RealType, class Policy> +class holtsmark_distribution; + +template <class RealType, class Policy> +class saspoint5_distribution; + +template <class RealType, class Policy> class laplace_distribution; template <class RealType, class Policy> @@ -136,6 +148,10 @@ class weibull_distribution; typedef boost::math::inverse_chi_squared_distribution<Type, Policy> inverse_chi_squared;\ typedef boost::math::inverse_gaussian_distribution<Type, Policy> inverse_gaussian;\ typedef boost::math::inverse_gamma_distribution<Type, Policy> inverse_gamma;\ + typedef boost::math::landau_distribution<Type, Policy> landau;\ + typedef boost::math::mapairy_distribution<Type, Policy> mapairy;\ + typedef boost::math::holtsmark_distribution<Type, Policy> holtsmark;\ + typedef boost::math::saspoint5_distribution<Type, Policy> saspoint5;\ typedef boost::math::laplace_distribution<Type, Policy> laplace;\ typedef boost::math::logistic_distribution<Type, Policy> logistic;\ typedef boost::math::lognormal_distribution<Type, Policy> lognormal;\ diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/gamma.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/gamma.hpp index 28b7c55b0b..5176f906d8 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/gamma.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/gamma.hpp @@ -1,4 +1,5 @@ // Copyright John Maddock 2006. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,22 +11,22 @@ // http://mathworld.wolfram.com/GammaDistribution.html // http://en.wikipedia.org/wiki/Gamma_distribution +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/gamma.hpp> #include <boost/math/special_functions/digamma.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> #include <boost/math/distributions/complement.hpp> -#include <utility> -#include <type_traits> - namespace boost{ namespace math { namespace detail { template <class RealType, class Policy> -inline bool check_gamma_shape( +BOOST_MATH_GPU_ENABLED inline bool check_gamma_shape( const char* function, RealType shape, RealType* result, const Policy& pol) @@ -41,7 +42,7 @@ inline bool check_gamma_shape( } template <class RealType, class Policy> -inline bool check_gamma_x( +BOOST_MATH_GPU_ENABLED inline bool check_gamma_x( const char* function, RealType const& x, RealType* result, const Policy& pol) @@ -57,7 +58,7 @@ inline bool check_gamma_x( } template <class RealType, class Policy> -inline bool check_gamma( +BOOST_MATH_GPU_ENABLED inline bool check_gamma( const char* function, RealType scale, RealType shape, @@ -75,19 +76,19 @@ public: using value_type = RealType; using policy_type = Policy; - explicit gamma_distribution(RealType l_shape, RealType l_scale = 1) + BOOST_MATH_GPU_ENABLED explicit gamma_distribution(RealType l_shape, RealType l_scale = 1) : m_shape(l_shape), m_scale(l_scale) { RealType result; detail::check_gamma("boost::math::gamma_distribution<%1%>::gamma_distribution", l_scale, l_shape, &result, Policy()); } - RealType shape()const + BOOST_MATH_GPU_ENABLED RealType shape()const { return m_shape; } - RealType scale()const + BOOST_MATH_GPU_ENABLED RealType scale()const { return m_scale; } @@ -109,27 +110,27 @@ gamma_distribution(RealType,RealType)->gamma_distribution<typename boost::math:: #endif template <class RealType, class Policy> -inline std::pair<RealType, RealType> range(const gamma_distribution<RealType, Policy>& /* dist */) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> range(const gamma_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> -inline std::pair<RealType, RealType> support(const gamma_distribution<RealType, Policy>& /* dist */) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> support(const gamma_distribution<RealType, Policy>& /* dist */) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; using boost::math::tools::min_value; - return std::pair<RealType, RealType>(min_value<RealType>(), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(min_value<RealType>(), max_value<RealType>()); } template <class RealType, class Policy> -inline RealType pdf(const gamma_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType pdf(const gamma_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::pdf(const gamma_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const gamma_distribution<%1%>&, %1%)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -149,17 +150,17 @@ inline RealType pdf(const gamma_distribution<RealType, Policy>& dist, const Real } // pdf template <class RealType, class Policy> -inline RealType logpdf(const gamma_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logpdf(const gamma_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions using boost::math::lgamma; - static const char* function = "boost::math::logpdf(const gamma_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logpdf(const gamma_distribution<%1%>&, %1%)"; RealType k = dist.shape(); RealType theta = dist.scale(); - RealType result = -std::numeric_limits<RealType>::infinity(); + RealType result = -boost::math::numeric_limits<RealType>::infinity(); if(false == detail::check_gamma(function, theta, k, &result, Policy())) return result; if(false == detail::check_gamma_x(function, x, &result, Policy())) @@ -167,7 +168,7 @@ inline RealType logpdf(const gamma_distribution<RealType, Policy>& dist, const R if(x == 0) { - return std::numeric_limits<RealType>::quiet_NaN(); + return boost::math::numeric_limits<RealType>::quiet_NaN(); } result = -k*log(theta) + (k-1)*log(x) - lgamma(k) - (x/theta); @@ -176,11 +177,11 @@ inline RealType logpdf(const gamma_distribution<RealType, Policy>& dist, const R } // logpdf template <class RealType, class Policy> -inline RealType cdf(const gamma_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const gamma_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(const gamma_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const gamma_distribution<%1%>&, %1%)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -196,11 +197,11 @@ inline RealType cdf(const gamma_distribution<RealType, Policy>& dist, const Real } // cdf template <class RealType, class Policy> -inline RealType quantile(const gamma_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const gamma_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const gamma_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const gamma_distribution<%1%>&, %1%)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -220,11 +221,11 @@ inline RealType quantile(const gamma_distribution<RealType, Policy>& dist, const } template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<gamma_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<gamma_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const gamma_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const gamma_distribution<%1%>&, %1%)"; RealType shape = c.dist.shape(); RealType scale = c.dist.scale(); @@ -241,11 +242,11 @@ inline RealType cdf(const complemented2_type<gamma_distribution<RealType, Policy } template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<gamma_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<gamma_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const gamma_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const gamma_distribution<%1%>&, %1%)"; RealType shape = c.dist.shape(); RealType scale = c.dist.scale(); @@ -266,11 +267,11 @@ inline RealType quantile(const complemented2_type<gamma_distribution<RealType, P } template <class RealType, class Policy> -inline RealType mean(const gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const gamma_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::mean(const gamma_distribution<%1%>&)"; + constexpr auto function = "boost::math::mean(const gamma_distribution<%1%>&)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -284,11 +285,11 @@ inline RealType mean(const gamma_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType variance(const gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType variance(const gamma_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::variance(const gamma_distribution<%1%>&)"; + constexpr auto function = "boost::math::variance(const gamma_distribution<%1%>&)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -302,11 +303,11 @@ inline RealType variance(const gamma_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType mode(const gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const gamma_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::mode(const gamma_distribution<%1%>&)"; + constexpr auto function = "boost::math::mode(const gamma_distribution<%1%>&)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -331,11 +332,11 @@ inline RealType mode(const gamma_distribution<RealType, Policy>& dist) //} template <class RealType, class Policy> -inline RealType skewness(const gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const gamma_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::skewness(const gamma_distribution<%1%>&)"; + constexpr auto function = "boost::math::skewness(const gamma_distribution<%1%>&)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -349,11 +350,11 @@ inline RealType skewness(const gamma_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType kurtosis_excess(const gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const gamma_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::kurtosis_excess(const gamma_distribution<%1%>&)"; + constexpr auto function = "boost::math::kurtosis_excess(const gamma_distribution<%1%>&)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -367,18 +368,19 @@ inline RealType kurtosis_excess(const gamma_distribution<RealType, Policy>& dist } template <class RealType, class Policy> -inline RealType kurtosis(const gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const gamma_distribution<RealType, Policy>& dist) { return kurtosis_excess(dist) + 3; } template <class RealType, class Policy> -inline RealType entropy(const gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType entropy(const gamma_distribution<RealType, Policy>& dist) { + BOOST_MATH_STD_USING + RealType k = dist.shape(); RealType theta = dist.scale(); - using std::log; - return k + log(theta) + lgamma(k) + (1-k)*digamma(k); + return k + log(theta) + boost::math::lgamma(k) + (1-k)*digamma(k); } } // namespace math diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/geometric.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/geometric.hpp index 7c511ef2db..0a7b383c24 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/geometric.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/geometric.hpp @@ -36,6 +36,9 @@ #ifndef BOOST_MATH_SPECIAL_GEOMETRIC_HPP #define BOOST_MATH_SPECIAL_GEOMETRIC_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/beta.hpp> // for ibeta(a, b, x) == Ix(a, b). #include <boost/math/distributions/complement.hpp> // complement. @@ -45,10 +48,6 @@ #include <boost/math/distributions/detail/inv_discrete_quantile.hpp> #include <boost/math/special_functions/log1p.hpp> -#include <limits> // using std::numeric_limits; -#include <utility> -#include <cmath> - #if defined (BOOST_MSVC) # pragma warning(push) // This believed not now necessary, so commented out. @@ -64,7 +63,7 @@ namespace boost { // Common error checking routines for geometric distribution function: template <class RealType, class Policy> - inline bool check_success_fraction(const char* function, const RealType& p, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_success_fraction(const char* function, const RealType& p, RealType* result, const Policy& pol) { if( !(boost::math::isfinite)(p) || (p < 0) || (p > 1) ) { @@ -77,13 +76,13 @@ namespace boost } template <class RealType, class Policy> - inline bool check_dist(const char* function, const RealType& p, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist(const char* function, const RealType& p, RealType* result, const Policy& pol) { return check_success_fraction(function, p, result, pol); } template <class RealType, class Policy> - inline bool check_dist_and_k(const char* function, const RealType& p, RealType k, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist_and_k(const char* function, const RealType& p, RealType k, RealType* result, const Policy& pol) { if(check_dist(function, p, result, pol) == false) { @@ -100,7 +99,7 @@ namespace boost } // Check_dist_and_k template <class RealType, class Policy> - inline bool check_dist_and_prob(const char* function, RealType p, RealType prob, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist_and_prob(const char* function, RealType p, RealType prob, RealType* result, const Policy& pol) { if((check_dist(function, p, result, pol) && detail::check_probability(function, prob, result, pol)) == false) { @@ -117,7 +116,7 @@ namespace boost typedef RealType value_type; typedef Policy policy_type; - geometric_distribution(RealType p) : m_p(p) + BOOST_MATH_GPU_ENABLED geometric_distribution(RealType p) : m_p(p) { // Constructor stores success_fraction p. RealType result; geometric_detail::check_dist( @@ -127,22 +126,22 @@ namespace boost } // geometric_distribution constructor. // Private data getter class member functions. - RealType success_fraction() const + BOOST_MATH_GPU_ENABLED RealType success_fraction() const { // Probability of success as fraction in range 0 to 1. return m_p; } - RealType successes() const + BOOST_MATH_GPU_ENABLED RealType successes() const { // Total number of successes r = 1 (for compatibility with negative binomial?). return 1; } // Parameter estimation. // (These are copies of negative_binomial distribution with successes = 1). - static RealType find_lower_bound_on_p( + BOOST_MATH_GPU_ENABLED static RealType find_lower_bound_on_p( RealType trials, RealType alpha) // alpha 0.05 equivalent to 95% for one-sided test. { - static const char* function = "boost::math::geometric<%1%>::find_lower_bound_on_p"; + constexpr auto function = "boost::math::geometric<%1%>::find_lower_bound_on_p"; RealType result = 0; // of error checks. RealType successes = 1; RealType failures = trials - successes; @@ -163,11 +162,11 @@ namespace boost return ibeta_inv(successes, failures + 1, alpha, static_cast<RealType*>(nullptr), Policy()); } // find_lower_bound_on_p - static RealType find_upper_bound_on_p( + BOOST_MATH_GPU_ENABLED static RealType find_upper_bound_on_p( RealType trials, RealType alpha) // alpha 0.05 equivalent to 95% for one-sided test. { - static const char* function = "boost::math::geometric<%1%>::find_upper_bound_on_p"; + constexpr auto function = "boost::math::geometric<%1%>::find_upper_bound_on_p"; RealType result = 0; // of error checks. RealType successes = 1; RealType failures = trials - successes; @@ -195,12 +194,12 @@ namespace boost // Estimate number of trials : // "How many trials do I need to be P% sure of seeing k or fewer failures?" - static RealType find_minimum_number_of_trials( + BOOST_MATH_GPU_ENABLED static RealType find_minimum_number_of_trials( RealType k, // number of failures (k >= 0). RealType p, // success fraction 0 <= p <= 1. RealType alpha) // risk level threshold 0 <= alpha <= 1. { - static const char* function = "boost::math::geometric<%1%>::find_minimum_number_of_trials"; + constexpr auto function = "boost::math::geometric<%1%>::find_minimum_number_of_trials"; // Error checks: RealType result = 0; if(false == geometric_detail::check_dist_and_k( @@ -213,12 +212,12 @@ namespace boost return result + k; } // RealType find_number_of_failures - static RealType find_maximum_number_of_trials( + BOOST_MATH_GPU_ENABLED static RealType find_maximum_number_of_trials( RealType k, // number of failures (k >= 0). RealType p, // success fraction 0 <= p <= 1. RealType alpha) // risk level threshold 0 <= alpha <= 1. { - static const char* function = "boost::math::geometric<%1%>::find_maximum_number_of_trials"; + constexpr auto function = "boost::math::geometric<%1%>::find_maximum_number_of_trials"; // Error checks: RealType result = 0; if(false == geometric_detail::check_dist_and_k( @@ -244,22 +243,22 @@ namespace boost #endif template <class RealType, class Policy> - inline const std::pair<RealType, RealType> range(const geometric_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const geometric_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable k. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // max_integer? + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // max_integer? } template <class RealType, class Policy> - inline const std::pair<RealType, RealType> support(const geometric_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const geometric_distribution<RealType, Policy>& /* dist */) { // Range of supported values for random variable k. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // max_integer? + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // max_integer? } template <class RealType, class Policy> - inline RealType mean(const geometric_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const geometric_distribution<RealType, Policy>& dist) { // Mean of geometric distribution = (1-p)/p. return (1 - dist.success_fraction() ) / dist.success_fraction(); } // mean @@ -267,21 +266,21 @@ namespace boost // median implemented via quantile(half) in derived accessors. template <class RealType, class Policy> - inline RealType mode(const geometric_distribution<RealType, Policy>&) + BOOST_MATH_GPU_ENABLED inline RealType mode(const geometric_distribution<RealType, Policy>&) { // Mode of geometric distribution = zero. BOOST_MATH_STD_USING // ADL of std functions. return 0; } // mode template <class RealType, class Policy> - inline RealType variance(const geometric_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const geometric_distribution<RealType, Policy>& dist) { // Variance of Binomial distribution = (1-p) / p^2. return (1 - dist.success_fraction()) / (dist.success_fraction() * dist.success_fraction()); } // variance template <class RealType, class Policy> - inline RealType skewness(const geometric_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const geometric_distribution<RealType, Policy>& dist) { // skewness of geometric distribution = 2-p / (sqrt(r(1-p)) BOOST_MATH_STD_USING // ADL of std functions. RealType p = dist.success_fraction(); @@ -289,7 +288,7 @@ namespace boost } // skewness template <class RealType, class Policy> - inline RealType kurtosis(const geometric_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const geometric_distribution<RealType, Policy>& dist) { // kurtosis of geometric distribution // http://en.wikipedia.org/wiki/geometric is kurtosis_excess so add 3 RealType p = dist.success_fraction(); @@ -297,7 +296,7 @@ namespace boost } // kurtosis template <class RealType, class Policy> - inline RealType kurtosis_excess(const geometric_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const geometric_distribution<RealType, Policy>& dist) { // kurtosis excess of geometric distribution // http://mathworld.wolfram.com/Kurtosis.html table of kurtosis_excess RealType p = dist.success_fraction(); @@ -312,11 +311,11 @@ namespace boost // chf of geometric distribution provided by derived accessors. template <class RealType, class Policy> - inline RealType pdf(const geometric_distribution<RealType, Policy>& dist, const RealType& k) + BOOST_MATH_GPU_ENABLED inline RealType pdf(const geometric_distribution<RealType, Policy>& dist, const RealType& k) { // Probability Density/Mass Function. BOOST_FPU_EXCEPTION_GUARD BOOST_MATH_STD_USING // For ADL of math functions. - static const char* function = "boost::math::pdf(const geometric_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const geometric_distribution<%1%>&, %1%)"; RealType p = dist.success_fraction(); RealType result = 0; @@ -350,9 +349,9 @@ namespace boost } // geometric_pdf template <class RealType, class Policy> - inline RealType cdf(const geometric_distribution<RealType, Policy>& dist, const RealType& k) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const geometric_distribution<RealType, Policy>& dist, const RealType& k) { // Cumulative Distribution Function of geometric. - static const char* function = "boost::math::cdf(const geometric_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const geometric_distribution<%1%>&, %1%)"; // k argument may be integral, signed, or unsigned, or floating point. // If necessary, it has already been promoted from an integral type. @@ -381,12 +380,10 @@ namespace boost } // cdf Cumulative Distribution Function geometric. template <class RealType, class Policy> - inline RealType logcdf(const geometric_distribution<RealType, Policy>& dist, const RealType& k) + BOOST_MATH_GPU_ENABLED inline RealType logcdf(const geometric_distribution<RealType, Policy>& dist, const RealType& k) { // Cumulative Distribution Function of geometric. - using std::pow; - using std::log; - using std::exp; - static const char* function = "boost::math::logcdf(const geometric_distribution<%1%>&, %1%)"; + BOOST_MATH_STD_USING + constexpr auto function = "boost::math::logcdf(const geometric_distribution<%1%>&, %1%)"; // k argument may be integral, signed, or unsigned, or floating point. // If necessary, it has already been promoted from an integral type. @@ -399,7 +396,7 @@ namespace boost k, &result, Policy())) { - return -std::numeric_limits<RealType>::infinity(); + return -boost::math::numeric_limits<RealType>::infinity(); } if(k == 0) { @@ -413,10 +410,10 @@ namespace boost } // logcdf Cumulative Distribution Function geometric. template <class RealType, class Policy> - inline RealType cdf(const complemented2_type<geometric_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<geometric_distribution<RealType, Policy>, RealType>& c) { // Complemented Cumulative Distribution Function geometric. BOOST_MATH_STD_USING - static const char* function = "boost::math::cdf(const geometric_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const geometric_distribution<%1%>&, %1%)"; // k argument may be integral, signed, or unsigned, or floating point. // If necessary, it has already been promoted from an integral type. RealType const& k = c.param; @@ -438,10 +435,10 @@ namespace boost } // cdf Complemented Cumulative Distribution Function geometric. template <class RealType, class Policy> - inline RealType logcdf(const complemented2_type<geometric_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType logcdf(const complemented2_type<geometric_distribution<RealType, Policy>, RealType>& c) { // Complemented Cumulative Distribution Function geometric. BOOST_MATH_STD_USING - static const char* function = "boost::math::logcdf(const geometric_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logcdf(const geometric_distribution<%1%>&, %1%)"; // k argument may be integral, signed, or unsigned, or floating point. // If necessary, it has already been promoted from an integral type. RealType const& k = c.param; @@ -455,21 +452,21 @@ namespace boost k, &result, Policy())) { - return -std::numeric_limits<RealType>::infinity(); + return -boost::math::numeric_limits<RealType>::infinity(); } return boost::math::log1p(-p, Policy()) * (k+1); } // logcdf Complemented Cumulative Distribution Function geometric. template <class RealType, class Policy> - inline RealType quantile(const geometric_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const geometric_distribution<RealType, Policy>& dist, const RealType& x) { // Quantile, percentile/100 or Percent Point geometric function. // Return the number of expected failures k for a given probability p. // Inverse cumulative Distribution Function or Quantile (percentile / 100) of geometric Probability. // k argument may be integral, signed, or unsigned, or floating point. - static const char* function = "boost::math::quantile(const geometric_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const geometric_distribution<%1%>&, %1%)"; BOOST_MATH_STD_USING // ADL of std functions. RealType success_fraction = dist.success_fraction(); @@ -513,11 +510,11 @@ namespace boost } // RealType quantile(const geometric_distribution dist, p) template <class RealType, class Policy> - inline RealType quantile(const complemented2_type<geometric_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<geometric_distribution<RealType, Policy>, RealType>& c) { // Quantile or Percent Point Binomial function. // Return the number of expected failures k for a given // complement of the probability Q = 1 - P. - static const char* function = "boost::math::quantile(const geometric_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const geometric_distribution<%1%>&, %1%)"; BOOST_MATH_STD_USING // Error checks: RealType x = c.param; diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/holtsmark.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/holtsmark.hpp new file mode 100644 index 0000000000..04f5484f4e --- /dev/null +++ b/contrib/restricted/boost/math/include/boost/math/distributions/holtsmark.hpp @@ -0,0 +1,2518 @@ +// Copyright Takuma Yoshimura 2024. +// Copyright Matt Borland 2024. +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file +// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) + +#ifndef BOOST_STATS_HOLTSMARK_HPP +#define BOOST_STATS_HOLTSMARK_HPP + +#ifdef _MSC_VER +#pragma warning(push) +#pragma warning(disable : 4127) // conditional expression is constant +#endif + +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/constants/constants.hpp> +#include <boost/math/distributions/complement.hpp> +#include <boost/math/distributions/detail/common_error_handling.hpp> +#include <boost/math/distributions/detail/derived_accessors.hpp> +#include <boost/math/tools/rational.hpp> +#include <boost/math/special_functions/cbrt.hpp> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> +#include <boost/math/tools/promotion.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/distributions/fwd.hpp> +#include <boost/math/tools/big_constant.hpp> +#include <utility> +#include <cmath> +#endif + +namespace boost { namespace math { +template <class RealType, class Policy> +class holtsmark_distribution; + +namespace detail { + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_pdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 1) { + // Rational Approximation + // Maximum Relative Error: 4.7894e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(2.87352751452164445024e-1), + static_cast<RealType>(1.18577398160636011811e-3), + static_cast<RealType>(-2.16526599226820153260e-2), + static_cast<RealType>(2.06462093371223113592e-3), + static_cast<RealType>(2.43382128013710116747e-3), + static_cast<RealType>(-2.15930711444603559520e-4), + static_cast<RealType>(-1.04197836740809694657e-4), + static_cast<RealType>(1.74679078247026597959e-5), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(4.12654472808214997252e-3), + static_cast<RealType>(2.93891863033354755743e-1), + static_cast<RealType>(8.70867222155141724171e-3), + static_cast<RealType>(3.15027515421842640745e-2), + static_cast<RealType>(2.11141832312672190669e-3), + static_cast<RealType>(1.23545521355569424975e-3), + static_cast<RealType>(1.58181113865348637475e-4), + }; + + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 3.0925e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(2.02038159607840130389e-1), + static_cast<RealType>(-1.20368541260123112191e-2), + static_cast<RealType>(-3.19235497414059987151e-3), + static_cast<RealType>(8.88546222140257289852e-3), + static_cast<RealType>(-5.37287599824602316660e-4), + static_cast<RealType>(-2.39059149972922243276e-4), + static_cast<RealType>(9.19551014849109417931e-5), + static_cast<RealType>(-8.45210544648986348854e-6), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(6.11634701234079515138e-1), + static_cast<RealType>(4.39922162828115412952e-1), + static_cast<RealType>(1.73609068791154078128e-1), + static_cast<RealType>(6.15831808473403962054e-2), + static_cast<RealType>(1.64364949550314788638e-2), + static_cast<RealType>(2.94399615562137394932e-3), + static_cast<RealType>(4.99662797033514776061e-4), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 1.4499e-17 + BOOST_MATH_STATIC const RealType P[10] = { + static_cast<RealType>(8.45396231261375200568e-2), + static_cast<RealType>(-9.15509628797205847643e-3), + static_cast<RealType>(1.82052933284907579374e-2), + static_cast<RealType>(-2.44157914076021125182e-4), + static_cast<RealType>(8.40871885414177705035e-4), + static_cast<RealType>(7.26592615882060553326e-5), + static_cast<RealType>(-1.87768359214600016641e-6), + static_cast<RealType>(1.65716961206268668529e-6), + static_cast<RealType>(-1.73979640146948858436e-7), + static_cast<RealType>(7.24351142163396584236e-9), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(8.88099527896838765666e-1), + static_cast<RealType>(6.53896948546877341992e-1), + static_cast<RealType>(2.96296982585381844864e-1), + static_cast<RealType>(1.14107585229341489833e-1), + static_cast<RealType>(3.08914671331207488189e-2), + static_cast<RealType>(7.03139384769200902107e-3), + static_cast<RealType>(1.01201814277918577790e-3), + static_cast<RealType>(1.12200113270398674535e-4), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 6.5259e-17 + BOOST_MATH_STATIC const RealType P[11] = { + static_cast<RealType>(1.36729417918039395222e-2), + static_cast<RealType>(1.19749117683408419115e-2), + static_cast<RealType>(6.26780921592414207398e-3), + static_cast<RealType>(1.84846137440857608948e-3), + static_cast<RealType>(3.39307829797262466829e-4), + static_cast<RealType>(2.73606960463362090866e-5), + static_cast<RealType>(-1.14419838471713498717e-7), + static_cast<RealType>(1.64552336875610576993e-8), + static_cast<RealType>(-7.95501797873739398143e-10), + static_cast<RealType>(2.55422885338760255125e-11), + static_cast<RealType>(-4.12196487201928768038e-13), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.61334003864149486454e0), + static_cast<RealType>(1.28348868912975898501e0), + static_cast<RealType>(6.36594545291321210154e-1), + static_cast<RealType>(2.11478937436277242988e-1), + static_cast<RealType>(4.71550897200311391579e-2), + static_cast<RealType>(6.64679677197059316835e-3), + static_cast<RealType>(4.93706832858615742810e-4), + static_cast<RealType>(9.26919465059204396228e-6), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 3.5084e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.90649774685568282390e-3), + static_cast<RealType>(7.43708409389806210196e-4), + static_cast<RealType>(9.53777347766128955847e-5), + static_cast<RealType>(3.79800193823252979170e-6), + static_cast<RealType>(2.84836656088572745575e-8), + static_cast<RealType>(-1.22715411241721187620e-10), + static_cast<RealType>(8.56789906419220801109e-13), + static_cast<RealType>(-4.17784858891714869163e-15), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(7.29383849235788831455e-1), + static_cast<RealType>(2.16287201867831015266e-1), + static_cast<RealType>(3.28789040872705709070e-2), + static_cast<RealType>(2.64660789801664804789e-3), + static_cast<RealType>(1.03662724048874906931e-4), + static_cast<RealType>(1.47658125632566407978e-6), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 1.4660e-19 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(3.07231582988207590928e-4), + static_cast<RealType>(5.16108848485823513911e-5), + static_cast<RealType>(3.05776014220862257678e-6), + static_cast<RealType>(7.64787444325088143218e-8), + static_cast<RealType>(7.40426355029090813961e-10), + static_cast<RealType>(1.57451122102115077046e-12), + static_cast<RealType>(-2.14505675750572782093e-15), + static_cast<RealType>(5.11204601013038698192e-18), + static_cast<RealType>(-9.00826023095223871551e-21), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.28966789835486457746e-1), + static_cast<RealType>(4.46981634258601621625e-2), + static_cast<RealType>(3.22521297380474263906e-3), + static_cast<RealType>(1.31985203433890010111e-4), + static_cast<RealType>(3.01507121087942156530e-6), + static_cast<RealType>(3.47777238523841835495e-8), + static_cast<RealType>(1.50780503777979189972e-10), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 4.2292e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(5.25741312407933720817e-5), + static_cast<RealType>(2.34425802342454046697e-6), + static_cast<RealType>(3.30042747965497652847e-8), + static_cast<RealType>(1.58564820095683252738e-10), + static_cast<RealType>(1.54070758384735212486e-13), + static_cast<RealType>(-8.89232435250437247197e-17), + static_cast<RealType>(8.14099948000080417199e-20), + static_cast<RealType>(-4.61828164399178360925e-23), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.23544974283127158019e-1), + static_cast<RealType>(6.01210465184576626802e-3), + static_cast<RealType>(1.45390926665383063500e-4), + static_cast<RealType>(1.80594709695117864840e-6), + static_cast<RealType>(1.06088985542982155880e-8), + static_cast<RealType>(2.20287881724613104903e-11), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType t = 1 / sqrt(x * x * x); + + // Rational Approximation + // Maximum Relative Error: 2.3004e-17 + BOOST_MATH_STATIC const RealType P[4] = { + static_cast<RealType>(2.99206710301074508455e-1), + static_cast<RealType>(-8.62469397757826072306e-1), + static_cast<RealType>(1.74661995423629075890e-1), + static_cast<RealType>(8.75909164947413479137e-1), + }; + BOOST_MATH_STATIC const RealType Q[3] = { + static_cast<RealType>(1.), + static_cast<RealType>(-6.07405848111002255020e0), + static_cast<RealType>(1.34068401972703571636e1), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t) * t / x; + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_pdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 1) { + // Rational Approximation + // Maximum Relative Error: 4.5215e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.87352751452164445024482162286994868262e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.07622509000285763173795736744991173600e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.75004930885780661923539070646503039258e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.72358602484766333657370198137154157310e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.80082654994455046054228833198744292689e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.53887200727615005180492399966262970151e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07684195532179300820096260852073763880e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.39151986881253768780523679256708455051e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.31700721746247708002568205696938014069e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.52538425285394123789751606057231671946e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.13997198703138372752313576244312091598e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74788965317036115104204201740144738267e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.18994723428163008965406453309272880204e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.49208308902369087634036371223527932419e-11), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.07053963271862256947338846403373278592e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.30146528469038357598785392812229655811e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.22168809220570888957518451361426420755e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.30911708477464424748895247790513118077e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.32037605861909345291211474811347056388e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.37380742268959889784160508321242249326e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.17777859396994816599172003124202701362e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.69357597449425742856874347560067711953e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.22061268498705703002731594804187464212e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.03685918248668999775572498175163352453e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.42037705933347925911510259098903765388e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.13651251802353350402740200231061151003e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.15390928968620849348804301589542546367e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.96186359077726620124148756657971390386e-9), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 1.3996e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.02038159607840130388931544845552929992e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.85240836242909590376775233472494840074e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.92928437142375928121954427888812334305e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.56075992368354834619445578502239925632e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85410663490566091471288623735720924369e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.09160661432404033681463938555133581443e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60290555290385646856693819798655258098e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24420942563054709904053017769325945705e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.06370233020823161157791461691510091864e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.51562554221298564845071290898761434388e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.77361020844998296791409508640756247324e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.10768937536097342883548728871352580308e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.97810512763454658214572490850146305033e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.77430867682132459087084564268263825239e-11), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.30030169049261634787262795838348954434e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.45935676273909940847479638179887855033e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.14724239378269259016679286177700667008e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21580123796578745240828564510740594111e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.70287348745451818082884807214512422940e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46859813604124308580987785473592196488e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.49627445316021031361394030382456867983e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05157712406194406440213776605199788051e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.91541875103990251411297099611180353187e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.47960462287955806798879139599079388744e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.80126815763067695392857052825785263211e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04569118116204820761181992270024358122e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.63024381269503801668229632579505279520e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00967434338725770754103109040982001783e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 1.6834e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.45396231261375200568114750897618690566e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.83107635287140466760500899510899613385e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.71690205829238281191309321676655995475e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.95995611963950467634398178757261552497e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.52444689050426648467863527289016233648e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.40423239472181137610649503303203209123e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.72181273738390251101985797318639680476e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.11423032981781501087311583401963332916e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.37255768388351332508195641748235373885e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.25140171472943043666747084376053803301e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.98925617316135247540832898350427842870e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.27532592227329144332335468302536835334e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.25846339430429852334026937219420930290e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.17852693845678292024334670662803641322e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60008761860786244203651832067697976835e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.85474213475378978699789357283744252832e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.05561259222780127064607109581719435800e-15), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08902510590064634965634560548380735284e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.60127698266075086782895988567899172787e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.73299227011247478433171171063045855612e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.94019328695445269130845646745771017029e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21478511930928822349285105322914093227e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.42888485420705779382804725954524839381e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36839484685440714657854206969200824442e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.77082068469251728028552451884848161629e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.92625563541021144576900067220082880950e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.88302521658522279293312672887766072876e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.37703703342287521257351386589629343948e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.32454189932655869016489443530062686013e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.81822848072558151338694737514507945151e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.40176559099032106726456059226930240477e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.55722115663529425797132143276461872035e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.18236697046568703899375072798708359035e-10), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 5.6207e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[20] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36729417918039395222067998266923903488e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.05780369334958736210688756060527042344e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.88449456199223796440901487003885388570e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20213624124017393492512893302682417041e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.95009975955570002297453163471062373746e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.35668345583965001606910217518443864382e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.69006847702829685253055277085000792826e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.08366922884479491780654020783735539561e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.71834368599657597252633517017213868956e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.88269472722301903965736220481240654265e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.37797139843759131750966129487745639531e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.72390971590654495025982276782257590019e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.68354503497961090303189233611418754374e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20749461042713568368181066233478264894e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.71167265100639100355339812752823628805e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.37497033071709741762372104386727560387e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.08992504249040731356693038222581843266e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.03311745412603363076896897060158476094e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.89266184062176002518506060373755160893e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.22157263424086267338486564980223658130e-22), + }; + BOOST_MATH_STATIC const RealType Q[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.24254809760594824834854946949546737102e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.66740386908805016172202899592418717176e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.17175023341071972435947261868288366592e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33939409711833786730168591434519989589e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.58859674176126567295417811572162232222e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.66346764121676348703738437519493817401e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.00687534341032230207422557716131339293e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.57352381181825892637055619366793541271e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.23955067096868711061473058513398543786e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.28279376429637301814743591831507047825e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22380760186302431267562571014519501842e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.21421839279245792393425090284615681867e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.80151544531415207189620615654737831345e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.57177992740786529976179511261318869505e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.54223623314672019530719165336863142227e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.26447311109866547647645308621478963788e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.76514314007336173875469200193103772775e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.63785420481380041892410849615596985103e-13), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 6.8882e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.90649774685568282389553481307707005425e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.70151946710788532273869130544473159961e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76188245008605985768921328976193346788e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.94997481586873355765607596415761713534e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83556339450065349619118429405554762845e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.39766178753196196595432796889473826698e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.48835240264191055418415753552383932859e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.23205178959384483669515397903609703992e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.80665018951397281836428650435128239368e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27113208299726105096854812628329439191e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.75272882929773945317046764560516449105e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.73174017370926101455204470047842394787e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.55548825213165929101134655786361059720e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.79786015549170518239230891794588988732e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.73060731998834750292816218696923192789e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.62842837946576938669447109511449827857e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33878078951302606409419167741041897986e-26), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.75629880937514507004822969528240262723e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43883005193126748135739157335919076027e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.26826935326347315479579835343751624245e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.52263130214924169696993839078084050641e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.34708681216662922818631865761136370252e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19079618273418070513605131981401070622e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.68812668867590621701228940772852924670e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.81323523265546812020317698573638573275e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46655191174052062382710487986225631851e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.79864553144116347379916608661549264281e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.81866770335021233700248077520029108331e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15408288688082935176022095799735538723e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29421875915133979067465908221270435168e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.74564282803894180881025348633912184161e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.69782249847887916810010605635064672269e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.85875986197737611300062229945990879767e-18), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 2.7988e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.07231582988207590928480356376941073734e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.35574911514921623999866392865480652576e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.60219401814297026945664630716309317015e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.84927222345566515103807882976184811760e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96327408363203008584583124982694689234e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.86684048703029160378252571846517319101e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.65469175974819997602752600929172261626e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.21842057555380199566706533446991680612e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.53555106309423641769303386628162522042e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.92686543698369260585325449306538016446e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.01838615452860702770059987567879856504e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.65492535746962514730615062374864701860e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.53395563720606494853374354984531107080e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.99957357701259203151690416786669242677e-28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46357124817620384236108395837490629563e-31), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.02259092175256156108200465685980768901e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63438230616954606028022008517920766366e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.63880061357592661176130881772975919418e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.81911305852397235014131637306820512975e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.09690724408294608306577482852270088377e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11275552068434583356476295833517496456e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.24681861037105338446379750828324925566e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16034379416965004687140768474445096709e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.23234481703249409689976894391287818596e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.93297387560911081670605071704642179017e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.50338428974314371000017727660753886621e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27897854868353937080739431205940604582e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.37798740524930029176790562876868493344e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.29920082153439260734550295626576101192e-22), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 6.9688e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.25741312407933720816582583160953651639e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.04434146174674791036848306058526901384e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.68959516304795838166182070164492846877e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.78859935261158263390023581309925613858e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.21854067989018450973827853792407054510e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20573856697340412957421887367218135538e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30843538021351383101589538141878424462e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.05991458689384045976214216819611949900e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.82253708752556965233757129893944884411e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.97645331663303764054986066027964294209e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.69353366461654917577775981574517182648e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.59050144462227302681332505386238071973e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.85165507189649330971049854127575847359e-31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70711310565669331853925519429988855964e-34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.72047006026700174884151916064158941262e-38), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.50985661940624198574968436548711898948e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.81705882167596649186405364717835589894e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.86537779048672498307196786015602357729e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.09555188550938733096253930959407749063e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.41930442687159455334801545898059105733e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.09084284266255183930305946875294557622e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.58122754063904909636061457739518406730e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.91800215912676651584368499126132687326e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.66413330532845384974993669138524203429e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.65919563020196445006309683624384862816e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.61596083414169579692212575079167989319e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16321386033703806802403099255708972015e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.90892719803158002834365234646982537288e-25), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType t = 1 / sqrt(x * x * x); + + // Rational Approximation + // Maximum Relative Error: 3.0545e-39 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[8] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.99206710301074508454959544950786401357e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.75243304700875633383991614142545185173e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.69652690455351600373808930804785330828e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.36233941060408773406522171349397343951e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.28958973553713980463808202034854958375e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.55704950313835982743029388151551925282e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.28767698270323629107775935552991333781e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.80591252844738626580182351673066365090e1), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.57593243741246726197476469913307836496e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.99458751269722094414105565700775283458e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.91043982880665229427553316951582511317e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.99054490423334526438490907473548839751e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.36948968143124830402744607365089118030e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.13781639547150826385071482161074041168e4), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t) * t / x; + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_pdf_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53> &tag) { + BOOST_MATH_STD_USING // for ADL of std functions + + return holtsmark_pdf_plus_imp_prec<RealType>(abs(x), tag); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_pdf_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>& tag) { + BOOST_MATH_STD_USING // for ADL of std functions + + return holtsmark_pdf_plus_imp_prec<RealType>(abs(x), tag); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_pdf_imp(const holtsmark_distribution<RealType, Policy>& dist, const RealType& x) { + // + // This calculates the pdf of the Holtsmark distribution and/or its complement. + // + + BOOST_MATH_STD_USING // for ADL of std functions + constexpr auto function = "boost::math::pdf(holtsmark<%1%>&, %1%)"; + RealType result = 0; + RealType location = dist.location(); + RealType scale = dist.scale(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + if (false == detail::check_x(function, x, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Holtsmark distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + RealType u = (x - location) / scale; + + result = holtsmark_pdf_imp_prec(u, tag_type()) / scale; + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_cdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 0.5) { + // Rational Approximation + // Maximum Relative Error: 1.3147e-17 + BOOST_MATH_STATIC const RealType P[6] = { + static_cast<RealType>(5.0e-1), + static_cast<RealType>(-1.34752580674786639030e-1), + static_cast<RealType>(1.86318418252163378528e-2), + static_cast<RealType>(1.04499798132512381447e-2), + static_cast<RealType>(-1.60831910014592923855e-3), + static_cast<RealType>(1.38823662364438342844e-4), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.05200341554753776087e-1), + static_cast<RealType>(2.12663999430421346175e-1), + static_cast<RealType>(7.23836000984872591553e-2), + static_cast<RealType>(1.67941072412796299986e-2), + static_cast<RealType>(4.71213644318790580839e-3), + static_cast<RealType>(5.86825130959777535991e-4), + }; + + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 1) { + RealType t = x - 0.5f; + + // Rational Approximation + // Maximum Relative Error: 1.6265e-18 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(3.60595773518728397351e-1), + static_cast<RealType>(5.75238626843218819756e-1), + static_cast<RealType>(-3.31245319943021227117e-1), + static_cast<RealType>(1.48132966310216368831e-1), + static_cast<RealType>(-2.32875122617713403365e-2), + static_cast<RealType>(2.08038303148835575624e-3), + static_cast<RealType>(6.01511310581302829460e-6), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(2.32264360456739861886e0), + static_cast<RealType>(6.39715443864749851087e-1), + static_cast<RealType>(5.03940458163958921325e-1), + static_cast<RealType>(8.84780893031413729292e-2), + static_cast<RealType>(3.01497774031208621961e-2), + static_cast<RealType>(3.45886005612108195390e-3), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 7.4398e-20 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(2.43657975600729535515e-1), + static_cast<RealType>(-6.02286263626532324632e-2), + static_cast<RealType>(4.68361231392743283350e-2), + static_cast<RealType>(-1.13497179885838883972e-3), + static_cast<RealType>(1.20141595689136205012e-3), + static_cast<RealType>(3.02402304689333413256e-4), + static_cast<RealType>(-1.22652173865646814676e-6), + static_cast<RealType>(2.29521832683440044997e-6), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(5.82002427359748247121e-1), + static_cast<RealType>(3.96529686558825119743e-1), + static_cast<RealType>(1.49690294526117385174e-1), + static_cast<RealType>(5.15049953937764895435e-2), + static_cast<RealType>(1.30218216530450637564e-2), + static_cast<RealType>(2.53640337919037463659e-3), + static_cast<RealType>(3.79575042317720710311e-4), + static_cast<RealType>(2.94034997185982139717e-5), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 5.6148e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(1.05039829654829164883e-1), + static_cast<RealType>(1.66621813028423002562e-2), + static_cast<RealType>(2.93820049104275137099e-2), + static_cast<RealType>(3.36850260303189378587e-3), + static_cast<RealType>(2.27925819398326978014e-3), + static_cast<RealType>(1.66394162680543987783e-4), + static_cast<RealType>(4.51400415642703075050e-5), + static_cast<RealType>(2.12164734714059446913e-7), + static_cast<RealType>(1.69306881760242775488e-8), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(9.63461239051296108254e-1), + static_cast<RealType>(6.54183344973801096611e-1), + static_cast<RealType>(2.92007762594247903696e-1), + static_cast<RealType>(1.00918751132022401499e-1), + static_cast<RealType>(2.55899135910670703945e-2), + static_cast<RealType>(4.85740416919283630358e-3), + static_cast<RealType>(6.11435190489589619906e-4), + static_cast<RealType>(4.10953248859973756440e-5), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 6.5866e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(3.05754562114095142887e-2), + static_cast<RealType>(3.25462617990002726083e-2), + static_cast<RealType>(1.78205524297204753048e-2), + static_cast<RealType>(5.61565369088816402420e-3), + static_cast<RealType>(1.05695297340067353106e-3), + static_cast<RealType>(9.93588579804511250576e-5), + static_cast<RealType>(2.94302107205379334662e-6), + static_cast<RealType>(1.09016076876928010898e-8), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.51164395622515150122e0), + static_cast<RealType>(1.09391911233213526071e0), + static_cast<RealType>(4.77950346062744800732e-1), + static_cast<RealType>(1.34082684956852773925e-1), + static_cast<RealType>(2.37572579895639589816e-2), + static_cast<RealType>(2.41806218388337284640e-3), + static_cast<RealType>(1.10378140456646280084e-4), + static_cast<RealType>(1.31559373832822136249e-6), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 5.6575e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(9.47408470248235718880e-3), + static_cast<RealType>(4.70888722333356024081e-3), + static_cast<RealType>(8.66397831692913140221e-4), + static_cast<RealType>(7.11721056656424862090e-5), + static_cast<RealType>(2.56320582355149253994e-6), + static_cast<RealType>(3.37749186035552101702e-8), + static_cast<RealType>(8.32182844837952178153e-11), + static_cast<RealType>(-8.80541360484428526226e-14), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(6.98261117346347123707e-1), + static_cast<RealType>(1.97823959738695249267e-1), + static_cast<RealType>(2.89311735096848395080e-2), + static_cast<RealType>(2.30087055379997473849e-3), + static_cast<RealType>(9.60592522700377510007e-5), + static_cast<RealType>(1.84474415187428058231e-6), + static_cast<RealType>(1.14339998084523151203e-8), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 1.4164e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(3.19610991747326729867e-3), + static_cast<RealType>(5.11880074251341162590e-4), + static_cast<RealType>(2.80704092977662888563e-5), + static_cast<RealType>(6.31310155466346114729e-7), + static_cast<RealType>(5.29618446795457166842e-9), + static_cast<RealType>(9.20292337847562746519e-12), + static_cast<RealType>(-9.16761719448360345363e-15), + static_cast<RealType>(1.20433396121606479712e-17), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(2.56283944667056551858e-1), + static_cast<RealType>(2.56811818304462676948e-2), + static_cast<RealType>(1.26678062261253559927e-3), + static_cast<RealType>(3.17001344827541091252e-5), + static_cast<RealType>(3.68737201224811007437e-7), + static_cast<RealType>(1.47625352605312785910e-9), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 9.2537e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.11172037056341397612e-3), + static_cast<RealType>(7.84545643188695076893e-5), + static_cast<RealType>(1.94862940242223222641e-6), + static_cast<RealType>(2.02704958737259525509e-8), + static_cast<RealType>(7.99772378955335076832e-11), + static_cast<RealType>(6.62544230949971310060e-14), + static_cast<RealType>(-3.18234118727325492149e-17), + static_cast<RealType>(2.03424457039308806437e-20), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.17861198759233241198e-1), + static_cast<RealType>(5.45962263583663240699e-3), + static_cast<RealType>(1.25274651876378267111e-4), + static_cast<RealType>(1.46857544539612002745e-6), + static_cast<RealType>(8.06441204620771968579e-9), + static_cast<RealType>(1.53682779460286464073e-11), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType x_cube = x * x * x; + RealType t = static_cast<RealType>((boost::math::isnormal)(x_cube) ? 1 / sqrt(x_cube) : 1 / pow(sqrt(x), 3)); + + // Rational Approximation + // Maximum Relative Error: 4.2897e-18 + BOOST_MATH_STATIC const RealType P[4] = { + static_cast<RealType>(1.99471140200716338970e-1), + static_cast<RealType>(-6.90933799347184400422e-1), + static_cast<RealType>(4.30385245884336871950e-1), + static_cast<RealType>(3.52790131116013716885e-1), + }; + BOOST_MATH_STATIC const RealType Q[3] = { + static_cast<RealType>(1.), + static_cast<RealType>(-5.05959751628952574534e0), + static_cast<RealType>(8.04408113719341786819e0), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t) * t; + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_cdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 0.5) { + // Rational Approximation + // Maximum Relative Error: 8.6635e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.0e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.48548242430636907136192799540229598637e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31541453581608245475805834922621529866e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.16579064508490250336159593502955219069e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.61598809551362112011328341554044706550e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.15119245273512554325709429759983470969e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.02145196753734867721148927112307708045e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.90817224464950088663183617156145065001e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.69596202760983052482358128481956242532e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.50461337222845025623869078372182437091e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.62777995800923647521692709390412901586e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.63937253747323898965514197114021890186e-8), + }; + BOOST_MATH_STATIC const RealType Q[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.76090180430550757765787254935343576341e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.07685236907561593034104428156351640194e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.27770556484351179553611274487979706736e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.99201460869149634331004096815257398515e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.70139000408086498153685620963430185837e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.74682544708653069148470666809094453722e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.57607114117485446922700160080966856243e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01069214414741946409122492979083487977e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.19996282759031441186748256811206136921e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60933466092746543579699079418115420013e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.92780739162611243933581782562159603862e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 1) { + RealType t = x - 0.5; + + // Rational Approximation + // Maximum Relative Error: 7.1235e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.60595773518728397925852903878144761766e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.46999595154527091473427440379143006753e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36962313432466566724352608642383560211e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.08387290167105915393692028475888846796e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.34156151832478939276011262838869269011e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.15970594471853166393830585755485842021e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.47022841547527682761332752928069503835e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.01955019188793323293925482112543902560e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.03069493388735516695142799880566783261e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.61367662035593735709965982000611000987e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.62800430658278408539398798888955969345e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.22300086876618079439960709120163780513e-8), + }; + BOOST_MATH_STATIC const RealType Q[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.19740977756009966244249035150363085180e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39394884078938560974435920719979860046e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.97107758486905601309707335353809421910e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.36594079604957733960211938310153276332e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.85712904264673773213248691029253356702e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.87605080555629969548037543637523346061e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.26356599628579249350545909071984757938e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.79582114368994462181480978781382155103e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.00970375323007336435151032145023199020e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.06528824060244313614177859412028348352e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.13914667697998291289987140319652513139e-7), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 6.7659e-38 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.43657975600729535499895880792984203140e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.37090874182351552816526775008685285108e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.70793783828569126853147999925198280654e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.27295555253412802819195403503721983066e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.95916890788873842705597506423512639342e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.93625795791721417553345795882983866640e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.73237387099610415336810752053706403935e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.08118655139419640900853055479087235138e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74920069862339840183963818219485580710e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59015304773612605296533206093582658838e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.57256820413579442950151375512313072105e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.36240848333000575199740403759568680951e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.53890585580518120552628221662318725825e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.59245311730292556271235324976832000740e-10), + }; + BOOST_MATH_STATIC const RealType Q[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.49800491033591771256676595185869442663e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.35827615015880595229881139361463765537e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.41657125931991211322147702760511651998e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11782602975553967179829921562737846592e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.79410805176258968660086532862367842847e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.22872839892405613311532856773434270554e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.23742349724658114137235071924317934569e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.80350762663884259375711329227548815674e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59501693037547119094683008622867020131e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.86068186167498269806443077840917848151e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.36940342373887783231154918541990667741e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.48911186460768204167014270878839691938e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.55051094964993052272146587430780404904e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.96312716130620326771080033656930839768e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.45496951385730104726429368791951742738e-10), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 9.9091e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05039829654829170780787685299556996311e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.28948022754388615368533934448107849329e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.34139151583225691775740839359914493385e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13366377215523066657592295006960955345e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08045462837998791188853367062130086996e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.37648565386728404881404199616182064711e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14881702523183566448187346081007871684e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.73169022445183613027772635992366708052e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.86434609673325793686202636939208406356e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20865083025640755296377488921536984172e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.24550087063009488023243811976147518386e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.78763689691843975658550702147832072016e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.53901449493513509116902285044951137217e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.64133451376958243174967226929215155126e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.78021916681275593923355425070000331160e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.40116391931116431686557163556034777896e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.43891156389092896219387988411277617045e-15), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30840297297890638941129884491157396207e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16059271948787750556465175239345182035e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.32333703228724830516425197803770832978e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.74722711058640395885914966387546141874e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.57544653090705553268164186689966671940e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.65943099435809995745673109708218670077e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74158626875895095042054345316232575354e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.65978318533667031874695821156329945501e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07907034178758316909655424935083792468e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.16769901831316460137104511711073411646e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.72764558714782436683712413015421717627e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.42494185105694341746192094740530489313e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.47668761140694808076322373887857100882e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.06395948884595166425357861427667353718e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.04398743651684916010743222115099630062e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47852251142917253705233519146081069006e-10), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 3.2255e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[20] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.05754562114095147060025732340404111260e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.29082907781747007723015304584383528212e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.15736486393536930535038719804968063752e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.47619683293773846642359668429058772885e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.78777185267549567154655052281449528836e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.32280474402180284471490985942690221861e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.45430564625797085273267452885960070105e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.81643129239005795245093568930666448817e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.57851748656417804512189330871167578685e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.04264676511381380381909064283066657450e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.84536783037391183433322642273799250079e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.27169201994160924743393109705813711010e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.42623512076200527099335832138825884729e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.98298083389459839517970895839114237996e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.71357920034737751299594537655948527288e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.98563999354325930973228648080876368296e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36248172644168880316722905969876969074e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.61071663749398045880261823483568866904e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.95933262363502031836408613043245164787e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.23007623135952181561484264810647517912e-21), + }; + BOOST_MATH_STATIC const RealType Q[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.17760389606658547971193065026711073898e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.49565543987559264712057768584303008339e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.94822569926563661124528478579051628722e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14676844425183314970062115422221981422e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.35960757354198367535169328826167556715e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.04865288305482048252211468989095938024e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.51599632816346741950206107526304703067e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74065824586512487126287762563576185455e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.91819078437689679732215988465616022328e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.41675362609023565846569121735444698127e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17176431752708802291177040031150143262e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52367587943529121285938327286926798550e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59405168077254169099025950029539316125e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29448420654438993509041228047289503943e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.70091773726833073512661846603385666642e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.03909417984236210307694235586859612592e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.59098698207309055890188845050700901852e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.28146456709550379493162440280752828165e-14), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 2.0174e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.47408470248235665279366712356669210597e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32149712567170349164953101675315481096e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.39806230477579028722350422669222849223e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.19665271447867857827798702851111114658e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.06773237553503696884546088197977608676e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41294370314265386485116359052296796357e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74848600628353761723457890991084017928e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52963427970210468265870547940464851481e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.33389244528769791436454176079341120973e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.86702000100897346192018772319301428852e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04192907586200235211623448416582655030e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70804269459077260463819507381406529187e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52665761996923502719902050367236108720e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.01866635015788942430563628065687465455e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.46658865059509532456423012727042498365e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.05806999626031246519161395419216393127e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.37645700309533972676063947195650607935e-26), + }; + BOOST_MATH_STATIC const RealType Q[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59608758824065179587008165265773042260e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17347162462484266250945490058846704988e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.24511137251392519285309985668265122633e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.58497164094526279145784765183039854604e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.40787701096334660711443654292041286786e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.34615029717812271556414485397095293077e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.17712219229282308306346195001801048971e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.24578142893420308057222282020407949529e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.23429691331344898578916434987129070432e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41486460551571344910835151948209788541e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.23569151219279213399210115101532416912e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.21438860148387356361258237451828377118e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.46770060692933726695086996017149976796e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.58079984178724940266882149462170567147e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19997796316046571607659704855966005180e-17), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 4.5109e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.19610991747326725339429696634365932643e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74646611039453235739153286141429338461e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.13331430865337412098234177873337036811e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.58947311195482646360642638791970923726e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.79226752074485124923797575635082779509e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.73081326043094090549807549513512116319e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05408849431691450650464797109033182773e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75716486666270246158606737499459843698e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.81075133718930099703621109350447306080e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.41318403854345256855350755520072932140e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.70220987388883118699419526374266655536e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.38711669183547686107032286389030018396e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.31300491679098874872172866011372530771e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.99223939265527640018203019269955457925e-25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.18316957049006338447926554380706108087e-28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.47298013808154174645356607027685011183e-32), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.42561659771176310412113991024326129105e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83353398513931409985504410958429204317e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.07254121026393428163401481487563215753e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.36667170168890854756291846167398225330e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.54019749685699795075624204463938596069e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.35321766966107368759516431698755077175e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.13350720091296144188972188966204719103e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.38107118390482863395863404555696613407e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.59267757423034664579822257229473088511e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.29549090773392058626428205171445962834e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.69922128600755513676564327500993739088e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31337037977667816904491472174578334375e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.28088047429043940293455906253037445768e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.01213369826105495256520034997664473667e-22), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 1.2707e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11172037056341396583040940446061501972e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.09383362521204903801686281772843962372e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71440982391172647693486692131238237524e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.01685075759372692173396811575536866699e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.36574894913423830789864836789988898151e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.59644999935503505576091023207315968623e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.95573282292603122067959656607163690356e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.10361486103428098366627536344769789255e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.80946231978997457068033851007899208222e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.39341134002270945594553624959145830111e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.72307967968246649714945553177468010263e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41093409238620968003297675770440189200e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.70464969040825495565297719377221881609e-28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.25341184125872354328990441812668510029e-32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.54663422572657744572284839697818435372e-36), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.35632539169215377884393376342532721825e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.46975491055790597767445011183622230556e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.51806800870130779095309105834725930741e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.07403939022350326847926101278370197017e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.66046114012817696416892197044749060854e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.16723371111678357128668916130767948114e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.22972796529973974439855811125888770710e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.91073180314665062004869985842402705599e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.43753004383633382914827301174981384446e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.77313206526206002175298314351042907499e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.32850553089285690900825039331456226080e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.85369976595753971532524294793778805089e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.28948021485210224442871255909409155592e-25), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType x_cube = x * x * x; + RealType t = (boost::math::isnormal)(x_cube) ? 1 / sqrt(x_cube) : 1 / pow(sqrt(x), 3); + + // Rational Approximation + // Maximum Relative Error: 5.4677e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[7] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.99471140200716338969973029967190934238e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.48481268366645066801385595379873318648e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.64087860141734943856373451877569284231e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.45555576045996041260191574503331698473e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43290677381328916734673040799990923091e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.63011127597770211743774689830589568544e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.61127812511057623691896118746981066174e0), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.90660291309478542795359451748753358123e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60631500002415936739518466837931659008e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.88655117367497147850617559832966816275e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48350179543067311398059386524702440002e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.18873206560757944356169500452181141647e3), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t) * t; + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_cdf_imp_prec(const RealType& x, bool complement, const boost::math::integral_constant<int, 53>& tag) { + if (x >= 0) { + return complement ? holtsmark_cdf_plus_imp_prec(x, tag) : 1 - holtsmark_cdf_plus_imp_prec(x, tag); + } + else if (x <= 0) { + return complement ? 1 - holtsmark_cdf_plus_imp_prec(-x, tag) : holtsmark_cdf_plus_imp_prec(-x, tag); + } + else { + return boost::math::numeric_limits<RealType>::quiet_NaN(); + } +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_cdf_imp_prec(const RealType& x, bool complement, const boost::math::integral_constant<int, 113>& tag) { + if (x >= 0) { + return complement ? holtsmark_cdf_plus_imp_prec(x, tag) : 1 - holtsmark_cdf_plus_imp_prec(x, tag); + } + else if (x <= 0) { + return complement ? 1 - holtsmark_cdf_plus_imp_prec(-x, tag) : holtsmark_cdf_plus_imp_prec(-x, tag); + } + else { + return boost::math::numeric_limits<RealType>::quiet_NaN(); + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_cdf_imp(const holtsmark_distribution<RealType, Policy>& dist, const RealType& x, bool complement) { + // + // This calculates the cdf of the Holtsmark distribution and/or its complement. + // + + BOOST_MATH_STD_USING // for ADL of std functions + constexpr auto function = "boost::math::cdf(holtsmark<%1%>&, %1%)"; + RealType result = 0; + RealType location = dist.location(); + RealType scale = dist.scale(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + if (false == detail::check_x(function, x, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Holtsmark distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + RealType u = (x - location) / scale; + + result = holtsmark_cdf_imp_prec(u, complement, tag_type()); + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_quantile_upper_imp_prec(const RealType& p, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (ilogb(p) >= -2) { + RealType t = -log2(ldexp(p, 1)); + + // Rational Approximation + // Maximum Relative Error: 5.8068e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(7.59789769759814986929e-1), + static_cast<RealType>(1.27515008642985381862e0), + static_cast<RealType>(4.38619247097275579086e-1), + static_cast<RealType>(-1.25521537863031799276e-1), + static_cast<RealType>(-2.58555599127223857177e-2), + static_cast<RealType>(1.20249932437303932411e-2), + static_cast<RealType>(-1.36753104188136881229e-3), + static_cast<RealType>(6.57491277860092595148e-5), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(2.48696501912062288766e0), + static_cast<RealType>(2.06239370128871696850e0), + static_cast<RealType>(5.67577904795053902651e-1), + static_cast<RealType>(-2.89022828087034733385e-2), + static_cast<RealType>(-2.17207943286085236479e-2), + static_cast<RealType>(3.14098307020814954876e-4), + static_cast<RealType>(3.51448381406676891012e-4), + static_cast<RealType>(5.71995514606568751522e-5), + }; + + result = t * tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -3) { + RealType t = -log2(ldexp(p, 2)); + + // Rational Approximation + // Maximum Relative Error: 1.0339e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(3.84521387984759064238e-1), + static_cast<RealType>(4.15763727809667641126e-1), + static_cast<RealType>(-1.73610240124046440578e-2), + static_cast<RealType>(-3.89915764128788049837e-2), + static_cast<RealType>(1.07252911248451890192e-2), + static_cast<RealType>(7.62613727089795367882e-4), + static_cast<RealType>(-3.11382403581073580481e-4), + static_cast<RealType>(3.93093062843177374871e-5), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(6.76193897442484823754e-1), + static_cast<RealType>(3.70953499602257825764e-2), + static_cast<RealType>(-2.84211795745477605398e-2), + static_cast<RealType>(2.66146101014551209760e-3), + static_cast<RealType>(1.85436727973937413751e-3), + static_cast<RealType>(2.00318687649825430725e-4), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -4) { + RealType t = -log2(ldexp(p, 3)); + + // Rational Approximation + // Maximum Relative Error: 1.4431e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(4.46943301497773314460e-1), + static_cast<RealType>(-1.07267614417424412546e-2), + static_cast<RealType>(-7.21097021064631831756e-2), + static_cast<RealType>(2.93948745441334193469e-2), + static_cast<RealType>(-7.33259305010485915480e-4), + static_cast<RealType>(-1.38660725579083612045e-3), + static_cast<RealType>(2.95410432808739478857e-4), + static_cast<RealType>(-2.88688017391292485867e-5), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(-2.72809429017073648893e-2), + static_cast<RealType>(-7.85526213469762960803e-2), + static_cast<RealType>(2.41360900478283465241e-2), + static_cast<RealType>(3.44597797125179611095e-3), + static_cast<RealType>(-8.65046428689780375806e-4), + static_cast<RealType>(-1.04147382037315517658e-4), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -6) { + RealType t = -log2(ldexp(p, 4)); + + // Rational Approximation + // Maximum Relative Error: 4.8871e-17 + BOOST_MATH_STATIC const RealType P[10] = { + static_cast<RealType>(4.25344469980677332786e-1), + static_cast<RealType>(3.42055470008289997369e-2), + static_cast<RealType>(9.33607217644370441642e-2), + static_cast<RealType>(4.57057092587794346086e-2), + static_cast<RealType>(1.16149976708336017542e-2), + static_cast<RealType>(6.40479797962035786337e-3), + static_cast<RealType>(1.58526153828271386329e-3), + static_cast<RealType>(3.84032908993313260466e-4), + static_cast<RealType>(6.98960839033991110525e-5), + static_cast<RealType>(9.66690587477825432174e-6), + }; + BOOST_MATH_STATIC const RealType Q[10] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.60044610004497775009e-1), + static_cast<RealType>(2.41675490962065446592e-1), + static_cast<RealType>(1.13752642382290596388e-1), + static_cast<RealType>(4.05058759031434785584e-2), + static_cast<RealType>(1.59432816225295660111e-2), + static_cast<RealType>(4.79286678946992027479e-3), + static_cast<RealType>(1.16048151070154814260e-3), + static_cast<RealType>(2.01755520912887201472e-4), + static_cast<RealType>(2.82884561026909054732e-5), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -8) { + RealType t = -log2(ldexp(p, 6)); + + // Rational Approximation + // Maximum Relative Error: 4.8173e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(3.68520435599726877886e-1), + static_cast<RealType>(8.26682725061327242371e-1), + static_cast<RealType>(6.85235826889543887309e-1), + static_cast<RealType>(3.28640408399661746210e-1), + static_cast<RealType>(9.04801242897407528807e-2), + static_cast<RealType>(1.57470088502958130451e-2), + static_cast<RealType>(1.61541023176880542598e-3), + static_cast<RealType>(9.78919203915954346945e-5), + static_cast<RealType>(9.71371309261213597491e-8), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(2.29132755303753682133e0), + static_cast<RealType>(1.95530118226232968288e0), + static_cast<RealType>(9.55029685883545321419e-1), + static_cast<RealType>(2.68254036588585643328e-1), + static_cast<RealType>(4.61398419640231283164e-2), + static_cast<RealType>(4.66131710581568432246e-3), + static_cast<RealType>(2.94491397241310968725e-4), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -16) { + RealType t = -log2(ldexp(p, 8)); + + // Rational Approximation + // Maximum Relative Error: 6.0376e-17 + BOOST_MATH_STATIC const RealType P[10] = { + static_cast<RealType>(3.48432718168951419458e-1), + static_cast<RealType>(2.99680703419193973028e-1), + static_cast<RealType>(1.09531896991852433149e-1), + static_cast<RealType>(2.28766133215975559897e-2), + static_cast<RealType>(3.09836969941710802698e-3), + static_cast<RealType>(2.89346186674853481383e-4), + static_cast<RealType>(1.96344583080243707169e-5), + static_cast<RealType>(9.48415601271652569275e-7), + static_cast<RealType>(3.08821091232356755783e-8), + static_cast<RealType>(5.58003465656339818416e-10), + }; + BOOST_MATH_STATIC const RealType Q[10] = { + static_cast<RealType>(1.), + static_cast<RealType>(8.73938978582311007855e-1), + static_cast<RealType>(3.21771888210250878162e-1), + static_cast<RealType>(6.70432401844821772827e-2), + static_cast<RealType>(9.05369648218831664411e-3), + static_cast<RealType>(8.50098390828726795296e-4), + static_cast<RealType>(5.73568804840571459050e-5), + static_cast<RealType>(2.78374120155590875053e-6), + static_cast<RealType>(9.03427646135263412003e-8), + static_cast<RealType>(1.63556457120944847882e-9), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -32) { + RealType t = -log2(ldexp(p, 16)); + + // Rational Approximation + // Maximum Relative Error: 2.2804e-17 + BOOST_MATH_STATIC const RealType P[10] = { + static_cast<RealType>(3.41419813138786920868e-1), + static_cast<RealType>(1.30219412019722274099e-1), + static_cast<RealType>(2.36047671342109636195e-2), + static_cast<RealType>(2.67913051721210953893e-3), + static_cast<RealType>(2.10896260337301129968e-4), + static_cast<RealType>(1.19804595761611765179e-5), + static_cast<RealType>(4.91470756460287578143e-7), + static_cast<RealType>(1.38299844947707591018e-8), + static_cast<RealType>(2.25766283556816829070e-10), + static_cast<RealType>(-8.46510608386806647654e-18), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.81461950831351846380e-1), + static_cast<RealType>(6.91390438866520696447e-2), + static_cast<RealType>(7.84798596829449138229e-3), + static_cast<RealType>(6.17735117400536913546e-4), + static_cast<RealType>(3.50937328177439258136e-5), + static_cast<RealType>(1.43958654321452532854e-6), + static_cast<RealType>(4.05109749922716264456e-8), + static_cast<RealType>(6.61306247924109415113e-10), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -64) { + RealType t = -log2(ldexp(p, 32)); + + // Rational Approximation + // Maximum Relative Error: 4.8545e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(3.41392032051575965049e-1), + static_cast<RealType>(1.53372256183388434238e-1), + static_cast<RealType>(3.33822240038718319714e-2), + static_cast<RealType>(4.66328786929735228532e-3), + static_cast<RealType>(4.67981207864367711082e-4), + static_cast<RealType>(3.48119463063280710691e-5), + static_cast<RealType>(2.17755850282052679342e-6), + static_cast<RealType>(7.40424342670289242177e-8), + static_cast<RealType>(4.61294046336533026640e-9), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(4.49255524669251621744e-1), + static_cast<RealType>(9.77826688966262423974e-2), + static_cast<RealType>(1.36596271675764346980e-2), + static_cast<RealType>(1.37080296105355418281e-3), + static_cast<RealType>(1.01970588303201339768e-4), + static_cast<RealType>(6.37846903580539445994e-6), + static_cast<RealType>(2.16883897125962281968e-7), + static_cast<RealType>(1.35121503608967367232e-8), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else { + const BOOST_MATH_STATIC_LOCAL_VARIABLE RealType c = ldexp(cbrt(constants::pi<RealType>()), 1); + + RealType p_square = p * p; + + if ((boost::math::isnormal)(p_square)) { + result = 1 / (cbrt(p_square) * c); + } + else if (p > 0) { + result = 1 / (cbrt(p) * cbrt(p) * c); + } + else { + result = boost::math::numeric_limits<RealType>::infinity(); + } + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_quantile_upper_imp_prec(const RealType& p, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (ilogb(p) >= -2) { + RealType u = -log2(ldexp(p, 1)); + + if (u < 0.5) { + // Rational Approximation + // Maximum Relative Error: 1.7987e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.59789769759815031687162026655576575384e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.23247138049619855169890925442523844619e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.35351935489348780511227763760731136136e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.17321534695821967609074567968260505604e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30930523792327030433989902919481147250e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.47676800034255152477549544991291837378e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.09952071024064609787697026812259269093e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.65479872964217159571026674930672527880e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.30204907832301876030269224513949605725e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.61038349134944320766567917361933431224e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.17242905696479357297850061918336600969e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.43640101589433162893041733511239841220e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.39406616773257816628641556843884616119e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.54871597065387376666252643921309051097e-7), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.06310038178166385607814371094968073940e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06144046990424238286303107360481469219e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17860081295611631017119482265353540470e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.26319639748358310901277622665331115333e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.25962127567362715217159291513550804588e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.65543974081934423010588955830131357921e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.80331848633772107482330422252085368575e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.97426948050874772305317056836660558275e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.10722999873793200671617106731723252507e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.68871255379198546500699434161302033826e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.70190278641952708999014435335172772138e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.11562497711461468804693130702653542297e-7), + }; + // LCOV_EXCL_STOP + result = u * tools::evaluate_polynomial(P, u) / (tools::evaluate_polynomial(Q, u) * cbrt(p * p)); + } + else { + RealType t = u - static_cast <RealType>(0.5); + + // Rational Approximation + // Maximum Relative Error: 2.5554e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.63490994331899195346399558699533994243e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.68682839419340144322747963938810505658e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.63089084712442063245295709191126453412e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24910510426787025593146475670961782647e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.14005632199839351091767181535761567981e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.88144015238275997284082820907124267240e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.12015895125039876623372795832970536355e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.96386756665254981286292821446749025989e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.82855208595003635135641502084317667629e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.18007513930934295792217002090233670917e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.82563310387467580262182864644541746616e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.52830681121195099547078704713089681353e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.91383571211375811878311159248551586411e-8), + }; + BOOST_MATH_STATIC const RealType Q[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96820655322136936855997114940653763917e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30209571878469737819039455443404070107e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.61235660141139249931521613001554108034e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.31683133997030095798635713869616211197e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.20681979279848555447978496580849290723e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.08958899028812330281115719259773001136e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.02478613175545210977059079339657545008e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.68653479132148912896487809682760117627e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.35166554499214836086438565154832646441e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.95409975934011596023165394669416595582e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.84312112139729518216217161835365265801e-7), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + } + else if (ilogb(p) >= -3) { + RealType u = -log2(ldexp(p, 2)); + + if (u < 0.5) { + // Rational Approximation + // Maximum Relative Error: 1.0297e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.84521387984759060262188972210005114936e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.70837834325236202821328032137877091515e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.53856963029219911450181095566096563059e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.97659091653089105048621336944687224192e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.77726241585387617566937892474685179582e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21657224955483589784473724186837316423e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76357400631206366078287330192525531850e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.45967265853745968166172649261385754061e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.08367654892620484522749804048317330020e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.41224530727710207304898458924763411052e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.02908228738160003274584644834000176496e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.05702214080592377840761032481067834813e-7), + }; + BOOST_MATH_STATIC const RealType Q[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33954869248363301881659953529609341564e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.73738626674455393272550888585363920917e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.90708494363306682523722238824373341707e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.49559648492983033200126224112060119905e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.07561158260652000950392950266037061167e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.30349651195547682860585068738648645100e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.21766408404123861757376277367204136764e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.22181499366766592894880124261171657846e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.74488053046587079829684775540618210211e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.90504597668186854963746384968119788469e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.45195198322028676384075318222338781298e-7), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, u) / (tools::evaluate_polynomial(Q, u) * cbrt(p * p)); + } + else { + RealType t = u - static_cast <RealType>(0.5); + + // Rational Approximation + // Maximum Relative Error: 1.3688e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.34418795581931891732555950599385666106e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.13006013029934051875748102515422669897e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.27990072710518465265454549585803147529e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.82530244963278920355650323928131927272e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.05335741422175616606162502617378682462e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71242678756797136217651369710748524650e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.65147398836785709305701073315614307906e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.23912765853731378067295654886575185240e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.77861910171412622761254991979036167882e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.11971510714149983297022108523700437739e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.23649928279010039670034778778065846828e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.99636080473697209793683863161785312159e-8), + }; + BOOST_MATH_STATIC const RealType Q[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.95056572065373808001002483348789719155e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.55702988004729812458415992666809422570e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.07586989542594910084052301521098115194e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96831670560124470215505714403486118412e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.86445076378084412691927796983792892534e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.75566285003039738258189045863064261980e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.18557444175572723760508226182075127685e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.66667716357950609103712975111660496416e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.70999480357934082364999779023268059131e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.14604868719110256415222454908306045416e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.32724040071094913191419223901752642417e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + } + else if (ilogb(p) >= -4) { + RealType t = -log2(ldexp(p, 3)); + + // Rational Approximation + // Maximum Relative Error: 6.6020e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.46943301497773318715008398224877079279e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.85403413700924949902626248891615772650e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.02791895890363892816315784780533893399e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.89147412486638444082129846251261616763e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.93382251168424191872267997181870008850e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.68332196426082871660060467570049113632e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.88720436260994811649162949644253306037e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.34099304204778307050211441936900839075e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.42970601149275611131932131801993030928e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.19329425598839605828710629592687495198e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.48826007216547106568423189194739111033e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.47132934846160946190230821709692067279e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.34123780321108493820637601375183345528e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.64549285026064221742294542922996905241e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.72723306533295983872420985773212608299e-9), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.23756826160440280076231428938184359865e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.46557011055563840763437682311082689407e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18907861669025579159409035585375166964e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.09998981512549500250715800529896557509e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.09496663758959409482213456915225652712e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.37086325651334206453116588474211557676e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.65325780110454655811120026458133145750e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.93435549562125602056160657604473721758e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.34967558308250784125219085040752451132e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.73883529653464036447550624641291181317e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.88600727347267778330635397957540267359e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.26681383000234695948685993798733295748e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19871610873353691152255428262732390602e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.42468017918888155246438948321084323623e-9), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -5) { + RealType u = -log2(ldexp(p, 4)); + + if (u < 0.5) { + // Rational Approximation + // Maximum Relative Error: 5.0596e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.25344469980677353573160570139298422046e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.41915371584999983192100443156935649063e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.02829239548689190780023994008688591230e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29283473326959885625548350158197923999e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.01078477165670046284950196047161898687e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.02714892887893367912743194877742997622e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.43133417775367444366548711083157149060e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34782994090554432391320506638030058071e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.06742736859237185836735105245477248882e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.55982601406660341132288721616681417444e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.57770758189194396236862269776507019313e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.29311341249565125992213260043135188072e-8), + }; + BOOST_MATH_STATIC const RealType Q[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.54021943144355190773797361537886598583e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30965787836836308380896385568728211303e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.19314242976592846926644622802257778872e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.84123785238634690769817401191138848504e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.75779029464908805680899310810660326192e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15078294915445673781718097749944059134e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.84667183003626452412083824490324913477e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.59521438712225874821007396323337016693e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.90446539427779905568600432145715126083e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.21425779911599424040614866482614099753e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.00972806247654369646317764344373036462e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, u) / (tools::evaluate_polynomial(Q, u) * cbrt(p * p)); + } + else { + RealType t = u - static_cast <RealType>(0.5); + + // Rational Approximation + // Maximum Relative Error: 8.3743e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.08071367192424306005939751362206079160e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.94625900993512461462097316785202943274e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.55970241156822104458842450713854737857e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.07663066299810473476390199553510422731e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.89859986209620592557993828310690990189e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.04002735956724252558290154433164340078e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.28754717941144647796091692241880059406e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19307116062867039608045413276099792797e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.02377178609994923303160815309590928289e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.71739619655097982325716241977619135216e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.70229045058419872036870274360537396648e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.90495731447121207951661931979310025968e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.23210708203609461650368387780135568863e-8), + }; + BOOST_MATH_STATIC const RealType Q[11] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.93402256203255215539822867473993726421e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.42452702043886045884356307934634512995e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.16981055684612802160174937997247813645e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39560623514414816165791968511612762553e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.26014275897567952035148355055139912545e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.42163967753843746501638925686714935099e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.63605648300801696460942201096159808446e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.55933967787268788177266789383155699064e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.41526208021076709058374666903111908743e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.08505866202670144225100385141263360218e-6), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + } + else if (ilogb(p) >= -6) { + RealType t = -log2(ldexp(p, 5)); + + // Rational Approximation + // Maximum Relative Error: 2.4734e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.92042979500197776619414802317216082414e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.94742044285563829335663810275331541585e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.14525306632578654372860377652983462776e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.88893010132758460781753381176593178775e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08491462791290535107958214106528611951e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.61374431854187722720094162894017991926e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.11641062509116613779440753514902522337e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.12474548036763970495563846370119556004e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.48140831258790372410036499310440980121e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.26913338169355215445128368312197650848e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63109797282729701768942543985418804075e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.55296802973076575732233624155433324402e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.72108609713971908723724065216410393928e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.93328436272999507339897246655916666269e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.72119240610740992234979508242967886200e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17836139198065889244530078295061548097e-10), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.78065342260594920160228973261455037923e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.08575070304822733863613657779515344137e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.81185785915044621118680763035984134530e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.87597191269586886460326897968559867853e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07903258768761230286548634868645339678e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.88395769450457864233486684232536503140e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.05678227243099671420442217017131559055e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.24803207742284923122212652186826674987e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.06094715338829793088081672723947647238e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.96454433858093590192363331553516923090e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.94509901530299070041475386866323617753e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.49001710126540196485963921184736711193e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.58899179756014192338509671769986887613e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.06916561094749601736592488829778059190e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -8) { + RealType t = -log2(ldexp(p, 6)); + + // Rational Approximation + // Maximum Relative Error: 1.1570e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.68520435599726860132888599110871216319e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.01076105507184082206031922185510102322e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39912455237662038937400667644545834191e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.51088991221663244634723139723207272560e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.26465949648856746869050310379379898086e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.37079746226805258449355819952819997723e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.49372033421420312720741838903118544951e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.95729572745049276972587492142384353131e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.92794840197452838799536047152725573779e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96897979363475104635129765703613472468e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.44138843334474914059035559588791041371e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.78076328055619970057667292651627051391e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04182093251998194244585085400876144351e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04392999917657413659748817212746660436e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.76006125565969084470924344826977844710e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.21045181507045010640119572995692565368e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.61400097324698003962179537436043636306e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.88084230973635340409728710734906398080e-11), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.49319798750825059930589954921919984293e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.90218243410186000622818205955425584848e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.25384789213915993855434876209137054104e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.58563858782064482133038568901836564329e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.39112608961600614189971858070197609546e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29192895265168981204927382938872469754e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.66418375973954918346810939649929797237e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.01606040038159207768769492693779323748e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.75837675697421536953171865636865644576e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30258315910281295093103384193132807400e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.28333635097670841003561009290200071343e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.04871369296490431325621140782944603554e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.05077352164673794093561693258318905067e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.28508157403208548483052311164947568580e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.22527248376737724147359908626095469985e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.75479484339716254784610505187249810386e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.39990051830081888581639577552526319577e-11), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -16) { + RealType t = -log2(ldexp(p, 8)); + + // Rational Approximation + // Maximum Relative Error: 1.1362e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[22] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.48432718168951398420402661878962745094e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.55946442453078865766668586202885528338e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.54912640113904816247923987542554486059e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.60852745978561293262851287627328856197e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.93256608166097432329211369307994852513e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.94707001299612588571704157159595918562e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.40368387009950846525432054396214443833e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.62326983889228773089492130483459202197e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.97166112600628615762158757484340724056e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.95053681446806610424931810174198926457e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.13613767164027076487881255767029235747e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.46627172639536503825606138995804926378e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.26813757095977946534946955553296696736e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.01393212063713249666862633388902006492e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04428602119155661411061942866480445477e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.52977051350929618206095556763031195967e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63092013964238065197415324341392517794e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.77457116423818347179318334884304764609e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10372468210274291890669895933038762772e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85517152798650696598776156882211719502e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.01916800572423194619358228507804954863e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.72241483171311778625855302356391965266e-26), + }; + BOOST_MATH_STATIC const RealType Q[21] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.18341916009800042837726003154518652168e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19215655980509256344434487727207541208e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34380326549827252189214516628038733750e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.65069135930665131327262366757787760402e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74132905027750048531814627726862962404e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.11184893124573373947875834716323223477e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.68456853089572312034718359282699132364e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16340806625223749486884390838046244494e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.45007766006724826837429360471785418874e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50443251593190111677537955057976277305e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30829464745241179175728900376502542995e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.57256894336319418553622695416919409120e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.89973763917908403951538315949652981312e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.05834675579622824896206540981508286215e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32721343511724613011656816221169980981e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.77569292346900432492044041866264215291e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39903737668944675386972393000746368518e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.23200083621376582032771041306045737695e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.43557805626692790539354751731913075096e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.91326410956582998375100191562832969140e-20), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -32) { + RealType t = -log2(ldexp(p, 16)); + + // Rational Approximation + // Maximum Relative Error: 9.1729e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.41419813138786928653984591611599949126e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.94225020281693988785012368481961427155e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.28967134188573605597955859185818311256e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.16617725083935565014535265818666424029e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.13379610773944032381149443514208866162e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06508483032198116332154635763926628153e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.89315471210589177037346413966039863126e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.72993906450633221200844495419180873066e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.32883391567312244751716481903540505335e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.50998889887280885500990101116973130081e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.23247766687180294767338042555173653249e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.12326475887709255500757383109178584638e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.11688319088825228685832870139320733695e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.95381542569360703428852622701723193645e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.70730387484749668293167350494151199659e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.84243405919322052861165273432136993833e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.40860917180131228318146854666419586211e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.85122374200561402546731933480737679849e-30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.79744248200459077556218062241428072826e-32), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.68930884381361438749954611436694811868e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.54944129151720429074748655153760118465e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.68493670923968273171437877298940102712e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.32109946297461941811102221103314572340e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.11983030120265263999033828442555862122e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.31204888358097171713697195034681853057e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.38548604936907265274059071726622071821e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.82158855359673890472124017801768455208e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.78564556026252472894386810079914912632e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.46854501887011863360558947087254908412e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.67236380279070121978196383998000020645e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.20076045812548485396837897240357026254e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15814123143437217877762088763846289858e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.67177999717442465582949551415385496304e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71135001552136641449927514544850663366e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.98449056954034104266783180068258117013e-22), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -64) { + RealType t = -log2(ldexp(p, 32)); + + // Rational Approximation + // Maximum Relative Error: 1.8330e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.41392032051575981622151194498090952488e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32651097995974052731414709779952524875e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.51927763729719814565225981452897995722e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.11148082477882981299945196621348531180e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.80457559655975695558885644380771202301e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96223001525552834934139567532649816367e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10625449265784963560596299595289620029e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.14785887121654524328854820350425279893e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.00832358736396150660417651391240544392e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.63128732906298604011217701767305935851e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.86148432181465165445355560568442172406e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.44088921565424320298916604159745842835e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.95220124898384051195673049864765987092e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50531060529388128674128631193212903032e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.06119051130826148039530805693452156757e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19849873960405145967462029876325494393e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.66833600176986734600260382043861669021e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.07829060832934383885234817363480653925e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21485411177823993142696645934560017341e-40), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.88559444380290379529260819350179144435e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.37942717465159991856146428659881557553e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.11409915376157429952160202733757574026e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.21511733003564236929107862750700281202e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.74773232555012468159223116269289241483e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.24042271031862389840796415749527818562e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50790246845873571117791557191071320982e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.88274886666078071130557536971927872847e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.94242592538917360235050248151146832636e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.45262967284548223426004177385213311949e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30081806380053435857465845326686775489e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.62226426496757450797456131921060042081e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.40933140159573381494354127717542598424e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.03760580312376891985077265621432029857e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.43980683769941233230954109646012150124e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.88686274782816858372719510890126716148e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.07336140055510452905474533727353308321e-25), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -128) { + RealType t = -log2(ldexp(p, 64)); + + // Rational Approximation + // Maximum Relative Error: 5.9085e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.41392031627647840832213878541731833340e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48256908849985263191468999842405689327e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.16515822909144946601084169745484248278e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.42246334265547596187501472291026180697e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.54145961608971551335283437288203286104e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.64840354062369555376354747633807898689e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.38246669464526050793398379055335943951e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29684566081664150074215568847731661446e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.98456331768093420851844051941851740455e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.36738267296531031235518935656891979319e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.08128287278026286279504717089979753319e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.38334581618709868951669630969696873534e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.08478537820365448038773095902465198679e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30768169494950935152733510713679558562e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.49254243621461466892836128222648688091e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.17026357413798368802986708112771803774e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.05630817682870951728748696694117980745e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.13881361534205323565985756195674181203e-50), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.34271731953273239599863811873205236246e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.27133013035186849060586077266046297964e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29542078693828543540010668640353491847e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33027698228265344545932885863767276804e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06868444562964057780556916100143215394e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.97868278672593071061800234869603536243e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.79869926850283188735312536038469293739e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.75298857713475428365153491580710497759e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.93449891515741631851202042430818496480e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.36715626731277089013724968542144140938e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.98125789528264426869121548546848968670e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.78234546049400950521459021508632294206e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.83044000387150792643468853129175805308e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.30111486296552039388613073915170671881e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.28628462422858134962149154420358876352e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48108558735886480279744474396456699335e-21), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else { + const BOOST_MATH_STATIC_LOCAL_VARIABLE RealType c = ldexp(cbrt(constants::pi<RealType>()), 1); + + RealType p_square = p * p; + + if ((boost::math::isnormal)(p_square)) { + result = 1 / (cbrt(p_square) * c); + } + else if (p > 0) { + result = 1 / (cbrt(p) * cbrt(p) * c); + } + else { + result = boost::math::numeric_limits<RealType>::infinity(); + } + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_quantile_imp_prec(const RealType& p, bool complement, const boost::math::integral_constant<int, 53>& tag) +{ + if (p > 0.5) { + return !complement ? holtsmark_quantile_upper_imp_prec(1 - p, tag) : -holtsmark_quantile_upper_imp_prec(1 - p, tag); + } + + return complement ? holtsmark_quantile_upper_imp_prec(p, tag) : -holtsmark_quantile_upper_imp_prec(p, tag); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_quantile_imp_prec(const RealType& p, bool complement, const boost::math::integral_constant<int, 113>& tag) +{ + if (p > 0.5) { + return !complement ? holtsmark_quantile_upper_imp_prec(1 - p, tag) : -holtsmark_quantile_upper_imp_prec(1 - p, tag); + } + + return complement ? holtsmark_quantile_upper_imp_prec(p, tag) : -holtsmark_quantile_upper_imp_prec(p, tag); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_quantile_imp(const holtsmark_distribution<RealType, Policy>& dist, const RealType& p, bool complement) +{ + // This routine implements the quantile for the Holtsmark distribution, + // the value p may be the probability, or its complement if complement=true. + + constexpr auto function = "boost::math::quantile(holtsmark<%1%>&, %1%)"; + BOOST_MATH_STD_USING // for ADL of std functions + + RealType result = 0; + RealType scale = dist.scale(); + RealType location = dist.location(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + if (false == detail::check_probability(function, p, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Holtsmark distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + result = location + scale * holtsmark_quantile_imp_prec(p, complement, tag_type()); + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_entropy_imp_prec(const boost::math::integral_constant<int, 53>&) +{ + return static_cast<RealType>(2.06944850513462440032); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_entropy_imp_prec(const boost::math::integral_constant<int, 113>&) +{ + return BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.0694485051346244003155800384542166381); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType holtsmark_entropy_imp(const holtsmark_distribution<RealType, Policy>& dist) +{ + // This implements the entropy for the Holtsmark distribution, + + constexpr auto function = "boost::math::entropy(holtsmark<%1%>&, %1%)"; + BOOST_MATH_STD_USING // for ADL of std functions + + RealType result = 0; + RealType scale = dist.scale(); + + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Holtsmark distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + result = holtsmark_entropy_imp_prec<RealType>(tag_type()) + log(scale); + + return result; +} + +} // detail + +template <class RealType = double, class Policy = policies::policy<> > +class holtsmark_distribution +{ + public: + typedef RealType value_type; + typedef Policy policy_type; + + BOOST_MATH_GPU_ENABLED holtsmark_distribution(RealType l_location = 0, RealType l_scale = 1) + : mu(l_location), c(l_scale) + { + constexpr auto function = "boost::math::holtsmark_distribution<%1%>::holtsmark_distribution"; + RealType result = 0; + detail::check_location(function, l_location, &result, Policy()); + detail::check_scale(function, l_scale, &result, Policy()); + } // holtsmark_distribution + + BOOST_MATH_GPU_ENABLED RealType location()const + { + return mu; + } + BOOST_MATH_GPU_ENABLED RealType scale()const + { + return c; + } + + private: + RealType mu; // The location parameter. + RealType c; // The scale parameter. +}; + +typedef holtsmark_distribution<double> holtsmark; + +#ifdef __cpp_deduction_guides +template <class RealType> +holtsmark_distribution(RealType) -> holtsmark_distribution<typename boost::math::tools::promote_args<RealType>::type>; +template <class RealType> +holtsmark_distribution(RealType, RealType) -> holtsmark_distribution<typename boost::math::tools::promote_args<RealType>::type>; +#endif + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const holtsmark_distribution<RealType, Policy>&) +{ // Range of permissible values for random variable x. + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) + { + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. + } + else + { // Can only use max_value. + using boost::math::tools::max_value; + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max. + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const holtsmark_distribution<RealType, Policy>&) +{ // Range of supported values for random variable x. + // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) + { + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. + } + else + { // Can only use max_value. + using boost::math::tools::max_value; + return boost::math::pair<RealType, RealType>(-tools::max_value<RealType>(), max_value<RealType>()); // - to + max. + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType pdf(const holtsmark_distribution<RealType, Policy>& dist, const RealType& x) +{ + return detail::holtsmark_pdf_imp(dist, x); +} // pdf + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType cdf(const holtsmark_distribution<RealType, Policy>& dist, const RealType& x) +{ + return detail::holtsmark_cdf_imp(dist, x, false); +} // cdf + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType quantile(const holtsmark_distribution<RealType, Policy>& dist, const RealType& p) +{ + return detail::holtsmark_quantile_imp(dist, p, false); +} // quantile + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<holtsmark_distribution<RealType, Policy>, RealType>& c) +{ + return detail::holtsmark_cdf_imp(c.dist, c.param, true); +} // cdf complement + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<holtsmark_distribution<RealType, Policy>, RealType>& c) +{ + return detail::holtsmark_quantile_imp(c.dist, c.param, true); +} // quantile complement + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mean(const holtsmark_distribution<RealType, Policy> &dist) +{ + return dist.location(); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType variance(const holtsmark_distribution<RealType, Policy>& /*dist*/) +{ + return boost::math::numeric_limits<RealType>::infinity(); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mode(const holtsmark_distribution<RealType, Policy>& dist) +{ + return dist.location(); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType median(const holtsmark_distribution<RealType, Policy>& dist) +{ + return dist.location(); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType skewness(const holtsmark_distribution<RealType, Policy>& /*dist*/) +{ + // There is no skewness: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The Holtsmark Distribution has no skewness"); + + return policies::raise_domain_error<RealType>( + "boost::math::skewness(holtsmark<%1%>&)", + "The Holtsmark distribution does not have a skewness: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); // infinity? +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const holtsmark_distribution<RealType, Policy>& /*dist*/) +{ + // There is no kurtosis: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The Holtsmark Distribution has no kurtosis"); + + return policies::raise_domain_error<RealType>( + "boost::math::kurtosis(holtsmark<%1%>&)", + "The Holtsmark distribution does not have a kurtosis: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const holtsmark_distribution<RealType, Policy>& /*dist*/) +{ + // There is no kurtosis excess: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The Holtsmark Distribution has no kurtosis excess"); + + return policies::raise_domain_error<RealType>( + "boost::math::kurtosis_excess(holtsmark<%1%>&)", + "The Holtsmark distribution does not have a kurtosis: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType entropy(const holtsmark_distribution<RealType, Policy>& dist) +{ + return detail::holtsmark_entropy_imp(dist); +} + +}} // namespaces + + +#endif // BOOST_STATS_HOLTSMARK_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/inverse_chi_squared.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/inverse_chi_squared.hpp index 19dd0371e8..1a3c680d23 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/inverse_chi_squared.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/inverse_chi_squared.hpp @@ -1,6 +1,6 @@ // Copyright John Maddock 2010. // Copyright Paul A. Bristow 2010. - +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt @@ -9,6 +9,8 @@ #ifndef BOOST_MATH_DISTRIBUTIONS_INVERSE_CHI_SQUARED_HPP #define BOOST_MATH_DISTRIBUTIONS_INVERSE_CHI_SQUARED_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/gamma.hpp> // for incomplete beta. #include <boost/math/distributions/complement.hpp> // for complements. @@ -24,14 +26,12 @@ // Weisstein, Eric W. "Inverse Chi-Squared Distribution." From MathWorld--A Wolfram Web Resource. // http://mathworld.wolfram.com/InverseChi-SquaredDistribution.html -#include <utility> - namespace boost{ namespace math{ namespace detail { template <class RealType, class Policy> - inline bool check_inverse_chi_squared( // Check both distribution parameters. + BOOST_MATH_GPU_ENABLED inline bool check_inverse_chi_squared( // Check both distribution parameters. const char* function, RealType degrees_of_freedom, // degrees_of_freedom (aka nu). RealType scale, // scale (aka sigma^2) @@ -51,7 +51,7 @@ public: typedef RealType value_type; typedef Policy policy_type; - inverse_chi_squared_distribution(RealType df, RealType l_scale) : m_df(df), m_scale (l_scale) + BOOST_MATH_GPU_ENABLED inverse_chi_squared_distribution(RealType df, RealType l_scale) : m_df(df), m_scale (l_scale) { RealType result; detail::check_df( @@ -62,7 +62,7 @@ public: m_scale, &result, Policy()); } // inverse_chi_squared_distribution constructor - inverse_chi_squared_distribution(RealType df = 1) : m_df(df) + BOOST_MATH_GPU_ENABLED inverse_chi_squared_distribution(RealType df = 1) : m_df(df) { RealType result; m_scale = 1 / m_df ; // Default scale = 1 / degrees of freedom (Wikipedia definition 1). @@ -71,11 +71,11 @@ public: m_df, &result, Policy()); } // inverse_chi_squared_distribution - RealType degrees_of_freedom()const + BOOST_MATH_GPU_ENABLED RealType degrees_of_freedom()const { return m_df; // aka nu } - RealType scale()const + BOOST_MATH_GPU_ENABLED RealType scale()const { return m_scale; // aka xi } @@ -105,28 +105,28 @@ inverse_chi_squared_distribution(RealType,RealType)->inverse_chi_squared_distrib #endif template <class RealType, class Policy> -inline const std::pair<RealType, RealType> range(const inverse_chi_squared_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const inverse_chi_squared_distribution<RealType, Policy>& /*dist*/) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // 0 to + infinity. + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // 0 to + infinity. } template <class RealType, class Policy> -inline const std::pair<RealType, RealType> support(const inverse_chi_squared_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const inverse_chi_squared_distribution<RealType, Policy>& /*dist*/) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. - return std::pair<RealType, RealType>(static_cast<RealType>(0), tools::max_value<RealType>()); // 0 to + infinity. + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), tools::max_value<RealType>()); // 0 to + infinity. } template <class RealType, class Policy> -RealType pdf(const inverse_chi_squared_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED RealType pdf(const inverse_chi_squared_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions. RealType df = dist.degrees_of_freedom(); RealType scale = dist.scale(); RealType error_result; - static const char* function = "boost::math::pdf(const inverse_chi_squared_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const inverse_chi_squared_distribution<%1%>&, %1%)"; if(false == detail::check_inverse_chi_squared (function, df, scale, &error_result, Policy()) @@ -159,9 +159,9 @@ RealType pdf(const inverse_chi_squared_distribution<RealType, Policy>& dist, con } // pdf template <class RealType, class Policy> -inline RealType cdf(const inverse_chi_squared_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const inverse_chi_squared_distribution<RealType, Policy>& dist, const RealType& x) { - static const char* function = "boost::math::cdf(const inverse_chi_squared_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const inverse_chi_squared_distribution<%1%>&, %1%)"; RealType df = dist.degrees_of_freedom(); RealType scale = dist.scale(); RealType error_result; @@ -188,13 +188,13 @@ inline RealType cdf(const inverse_chi_squared_distribution<RealType, Policy>& di } // cdf template <class RealType, class Policy> -inline RealType quantile(const inverse_chi_squared_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const inverse_chi_squared_distribution<RealType, Policy>& dist, const RealType& p) { using boost::math::gamma_q_inv; RealType df = dist.degrees_of_freedom(); RealType scale = dist.scale(); - static const char* function = "boost::math::quantile(const inverse_chi_squared_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const inverse_chi_squared_distribution<%1%>&, %1%)"; // Error check: RealType error_result; if(false == detail::check_df( @@ -220,13 +220,13 @@ inline RealType quantile(const inverse_chi_squared_distribution<RealType, Policy } // quantile template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<inverse_chi_squared_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<inverse_chi_squared_distribution<RealType, Policy>, RealType>& c) { using boost::math::gamma_q_inv; RealType const& df = c.dist.degrees_of_freedom(); RealType const& scale = c.dist.scale(); RealType const& x = c.param; - static const char* function = "boost::math::cdf(const inverse_chi_squared_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const inverse_chi_squared_distribution<%1%>&, %1%)"; // Error check: RealType error_result; if(false == detail::check_df( @@ -251,14 +251,14 @@ inline RealType cdf(const complemented2_type<inverse_chi_squared_distribution<Re } // cdf(complemented template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<inverse_chi_squared_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<inverse_chi_squared_distribution<RealType, Policy>, RealType>& c) { using boost::math::gamma_q_inv; RealType const& df = c.dist.degrees_of_freedom(); RealType const& scale = c.dist.scale(); RealType const& q = c.param; - static const char* function = "boost::math::quantile(const inverse_chi_squared_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const inverse_chi_squared_distribution<%1%>&, %1%)"; // Error check: RealType error_result; if(false == detail::check_df(function, df, &error_result, Policy())) @@ -280,12 +280,12 @@ inline RealType quantile(const complemented2_type<inverse_chi_squared_distributi } // quantile(const complement template <class RealType, class Policy> -inline RealType mean(const inverse_chi_squared_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const inverse_chi_squared_distribution<RealType, Policy>& dist) { // Mean of inverse Chi-Squared distribution. RealType df = dist.degrees_of_freedom(); RealType scale = dist.scale(); - static const char* function = "boost::math::mean(const inverse_chi_squared_distribution<%1%>&)"; + constexpr auto function = "boost::math::mean(const inverse_chi_squared_distribution<%1%>&)"; if(df <= 2) return policies::raise_domain_error<RealType>( function, @@ -295,11 +295,11 @@ inline RealType mean(const inverse_chi_squared_distribution<RealType, Policy>& d } // mean template <class RealType, class Policy> -inline RealType variance(const inverse_chi_squared_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType variance(const inverse_chi_squared_distribution<RealType, Policy>& dist) { // Variance of inverse Chi-Squared distribution. RealType df = dist.degrees_of_freedom(); RealType scale = dist.scale(); - static const char* function = "boost::math::variance(const inverse_chi_squared_distribution<%1%>&)"; + constexpr auto function = "boost::math::variance(const inverse_chi_squared_distribution<%1%>&)"; if(df <= 4) { return policies::raise_domain_error<RealType>( @@ -311,14 +311,14 @@ inline RealType variance(const inverse_chi_squared_distribution<RealType, Policy } // variance template <class RealType, class Policy> -inline RealType mode(const inverse_chi_squared_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const inverse_chi_squared_distribution<RealType, Policy>& dist) { // mode is not defined in Mathematica. // See Discussion section http://en.wikipedia.org/wiki/Talk:Scaled-inverse-chi-square_distribution // for origin of the formula used below. RealType df = dist.degrees_of_freedom(); RealType scale = dist.scale(); - static const char* function = "boost::math::mode(const inverse_chi_squared_distribution<%1%>&)"; + constexpr auto function = "boost::math::mode(const inverse_chi_squared_distribution<%1%>&)"; if(df < 0) return policies::raise_domain_error<RealType>( function, @@ -341,11 +341,11 @@ inline RealType mode(const inverse_chi_squared_distribution<RealType, Policy>& d // Now implemented via quantile(half) in derived accessors. template <class RealType, class Policy> -inline RealType skewness(const inverse_chi_squared_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const inverse_chi_squared_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // For ADL RealType df = dist.degrees_of_freedom(); - static const char* function = "boost::math::skewness(const inverse_chi_squared_distribution<%1%>&)"; + constexpr auto function = "boost::math::skewness(const inverse_chi_squared_distribution<%1%>&)"; if(df <= 6) return policies::raise_domain_error<RealType>( function, @@ -356,10 +356,10 @@ inline RealType skewness(const inverse_chi_squared_distribution<RealType, Policy } template <class RealType, class Policy> -inline RealType kurtosis(const inverse_chi_squared_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const inverse_chi_squared_distribution<RealType, Policy>& dist) { RealType df = dist.degrees_of_freedom(); - static const char* function = "boost::math::kurtosis(const inverse_chi_squared_distribution<%1%>&)"; + constexpr auto function = "boost::math::kurtosis(const inverse_chi_squared_distribution<%1%>&)"; if(df <= 8) return policies::raise_domain_error<RealType>( function, @@ -370,10 +370,10 @@ inline RealType kurtosis(const inverse_chi_squared_distribution<RealType, Policy } template <class RealType, class Policy> -inline RealType kurtosis_excess(const inverse_chi_squared_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const inverse_chi_squared_distribution<RealType, Policy>& dist) { RealType df = dist.degrees_of_freedom(); - static const char* function = "boost::math::kurtosis(const inverse_chi_squared_distribution<%1%>&)"; + constexpr auto function = "boost::math::kurtosis(const inverse_chi_squared_distribution<%1%>&)"; if(df <= 8) return policies::raise_domain_error<RealType>( function, diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/inverse_gamma.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/inverse_gamma.hpp index 8c9e4763d5..6aa798ed82 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/inverse_gamma.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/inverse_gamma.hpp @@ -2,6 +2,7 @@ // Copyright Paul A. Bristow 2010. // Copyright John Maddock 2010. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -22,21 +23,21 @@ // http://mathworld.wolfram.com/GammaDistribution.html // http://en.wikipedia.org/wiki/Gamma_distribution +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/gamma.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> #include <boost/math/distributions/complement.hpp> -#include <utility> -#include <cfenv> - namespace boost{ namespace math { namespace detail { template <class RealType, class Policy> -inline bool check_inverse_gamma_shape( +BOOST_MATH_GPU_ENABLED inline bool check_inverse_gamma_shape( const char* function, // inverse_gamma RealType shape, // shape aka alpha RealType* result, // to update, perhaps with NaN @@ -57,7 +58,7 @@ inline bool check_inverse_gamma_shape( } //bool check_inverse_gamma_shape template <class RealType, class Policy> -inline bool check_inverse_gamma_x( +BOOST_MATH_GPU_ENABLED inline bool check_inverse_gamma_x( const char* function, RealType const& x, RealType* result, const Policy& pol) @@ -73,7 +74,7 @@ inline bool check_inverse_gamma_x( } template <class RealType, class Policy> -inline bool check_inverse_gamma( +BOOST_MATH_GPU_ENABLED inline bool check_inverse_gamma( const char* function, // TODO swap these over, so shape is first. RealType scale, // scale aka beta RealType shape, // shape aka alpha @@ -92,7 +93,7 @@ public: using value_type = RealType; using policy_type = Policy; - explicit inverse_gamma_distribution(RealType l_shape = 1, RealType l_scale = 1) + BOOST_MATH_GPU_ENABLED explicit inverse_gamma_distribution(RealType l_shape = 1, RealType l_scale = 1) : m_shape(l_shape), m_scale(l_scale) { RealType result; @@ -101,12 +102,12 @@ public: l_scale, l_shape, &result, Policy()); } - RealType shape()const + BOOST_MATH_GPU_ENABLED RealType shape()const { return m_shape; } - RealType scale()const + BOOST_MATH_GPU_ENABLED RealType scale()const { return m_scale; } @@ -132,27 +133,27 @@ inverse_gamma_distribution(RealType,RealType)->inverse_gamma_distribution<typena // Allow random variable x to be zero, treated as a special case (unlike some definitions). template <class RealType, class Policy> -inline std::pair<RealType, RealType> range(const inverse_gamma_distribution<RealType, Policy>& /* dist */) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> range(const inverse_gamma_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> -inline std::pair<RealType, RealType> support(const inverse_gamma_distribution<RealType, Policy>& /* dist */) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> support(const inverse_gamma_distribution<RealType, Policy>& /* dist */) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; using boost::math::tools::min_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> -inline RealType pdf(const inverse_gamma_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType pdf(const inverse_gamma_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::pdf(const inverse_gamma_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const inverse_gamma_distribution<%1%>&, %1%)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -195,17 +196,17 @@ inline RealType pdf(const inverse_gamma_distribution<RealType, Policy>& dist, co } // pdf template <class RealType, class Policy> -inline RealType logpdf(const inverse_gamma_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logpdf(const inverse_gamma_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions using boost::math::lgamma; - static const char* function = "boost::math::logpdf(const inverse_gamma_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logpdf(const inverse_gamma_distribution<%1%>&, %1%)"; RealType shape = dist.shape(); RealType scale = dist.scale(); - RealType result = -std::numeric_limits<RealType>::infinity(); + RealType result = -boost::math::numeric_limits<RealType>::infinity(); if(false == detail::check_inverse_gamma(function, scale, shape, &result, Policy())) { // distribution parameters bad. return result; @@ -232,11 +233,11 @@ inline RealType logpdf(const inverse_gamma_distribution<RealType, Policy>& dist, } // pdf template <class RealType, class Policy> -inline RealType cdf(const inverse_gamma_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const inverse_gamma_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(const inverse_gamma_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const inverse_gamma_distribution<%1%>&, %1%)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -260,12 +261,12 @@ inline RealType cdf(const inverse_gamma_distribution<RealType, Policy>& dist, co } // cdf template <class RealType, class Policy> -inline RealType quantile(const inverse_gamma_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const inverse_gamma_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std functions using boost::math::gamma_q_inv; - static const char* function = "boost::math::quantile(const inverse_gamma_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const inverse_gamma_distribution<%1%>&, %1%)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -287,11 +288,11 @@ inline RealType quantile(const inverse_gamma_distribution<RealType, Policy>& dis } template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<inverse_gamma_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<inverse_gamma_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const gamma_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const gamma_distribution<%1%>&, %1%)"; RealType shape = c.dist.shape(); RealType scale = c.dist.scale(); @@ -310,11 +311,11 @@ inline RealType cdf(const complemented2_type<inverse_gamma_distribution<RealType } template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<inverse_gamma_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<inverse_gamma_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const inverse_gamma_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const inverse_gamma_distribution<%1%>&, %1%)"; RealType shape = c.dist.shape(); RealType scale = c.dist.scale(); @@ -338,11 +339,11 @@ inline RealType quantile(const complemented2_type<inverse_gamma_distribution<Rea } template <class RealType, class Policy> -inline RealType mean(const inverse_gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const inverse_gamma_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::mean(const inverse_gamma_distribution<%1%>&)"; + constexpr auto function = "boost::math::mean(const inverse_gamma_distribution<%1%>&)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -365,11 +366,11 @@ inline RealType mean(const inverse_gamma_distribution<RealType, Policy>& dist) } // mean template <class RealType, class Policy> -inline RealType variance(const inverse_gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType variance(const inverse_gamma_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::variance(const inverse_gamma_distribution<%1%>&)"; + constexpr auto function = "boost::math::variance(const inverse_gamma_distribution<%1%>&)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -391,11 +392,11 @@ inline RealType variance(const inverse_gamma_distribution<RealType, Policy>& dis } template <class RealType, class Policy> -inline RealType mode(const inverse_gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const inverse_gamma_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::mode(const inverse_gamma_distribution<%1%>&)"; + constexpr auto function = "boost::math::mode(const inverse_gamma_distribution<%1%>&)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -418,11 +419,11 @@ inline RealType mode(const inverse_gamma_distribution<RealType, Policy>& dist) //} template <class RealType, class Policy> -inline RealType skewness(const inverse_gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const inverse_gamma_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::skewness(const inverse_gamma_distribution<%1%>&)"; + constexpr auto function = "boost::math::skewness(const inverse_gamma_distribution<%1%>&)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -444,11 +445,11 @@ inline RealType skewness(const inverse_gamma_distribution<RealType, Policy>& dis } template <class RealType, class Policy> -inline RealType kurtosis_excess(const inverse_gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const inverse_gamma_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::kurtosis_excess(const inverse_gamma_distribution<%1%>&)"; + constexpr auto function = "boost::math::kurtosis_excess(const inverse_gamma_distribution<%1%>&)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -470,9 +471,9 @@ inline RealType kurtosis_excess(const inverse_gamma_distribution<RealType, Polic } template <class RealType, class Policy> -inline RealType kurtosis(const inverse_gamma_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const inverse_gamma_distribution<RealType, Policy>& dist) { - static const char* function = "boost::math::kurtosis(const inverse_gamma_distribution<%1%>&)"; + constexpr auto function = "boost::math::kurtosis(const inverse_gamma_distribution<%1%>&)"; RealType shape = dist.shape(); RealType scale = dist.scale(); diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/inverse_gaussian.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/inverse_gaussian.hpp index b31d1c9257..20d3b6bdd5 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/inverse_gaussian.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/inverse_gaussian.hpp @@ -1,6 +1,6 @@ // Copyright John Maddock 2010. // Copyright Paul A. Bristow 2010. - +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -49,17 +49,17 @@ // http://www.statsci.org/s/inverse_gaussian.s and http://www.statsci.org/s/inverse_gaussian.html -//#include <boost/math/distributions/fwd.hpp> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/cstdint.hpp> #include <boost/math/special_functions/erf.hpp> // for erf/erfc. #include <boost/math/distributions/complement.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> #include <boost/math/distributions/normal.hpp> #include <boost/math/distributions/gamma.hpp> // for gamma function - #include <boost/math/tools/tuple.hpp> #include <boost/math/tools/roots.hpp> - -#include <utility> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> namespace boost{ namespace math{ @@ -70,10 +70,10 @@ public: using value_type = RealType; using policy_type = Policy; - explicit inverse_gaussian_distribution(RealType l_mean = 1, RealType l_scale = 1) + BOOST_MATH_GPU_ENABLED explicit inverse_gaussian_distribution(RealType l_mean = 1, RealType l_scale = 1) : m_mean(l_mean), m_scale(l_scale) { // Default is a 1,1 inverse_gaussian distribution. - static const char* function = "boost::math::inverse_gaussian_distribution<%1%>::inverse_gaussian_distribution"; + constexpr auto function = "boost::math::inverse_gaussian_distribution<%1%>::inverse_gaussian_distribution"; RealType result; detail::check_scale(function, l_scale, &result, Policy()); @@ -81,22 +81,22 @@ public: detail::check_x_gt0(function, l_mean, &result, Policy()); } - RealType mean()const + BOOST_MATH_GPU_ENABLED RealType mean()const { // alias for location. return m_mean; // aka mu } // Synonyms, provided to allow generic use of find_location and find_scale. - RealType location()const + BOOST_MATH_GPU_ENABLED RealType location()const { // location, aka mu. return m_mean; } - RealType scale()const + BOOST_MATH_GPU_ENABLED RealType scale()const { // scale, aka lambda. return m_scale; } - RealType shape()const + BOOST_MATH_GPU_ENABLED RealType shape()const { // shape, aka phi = lambda/mu. return m_scale / m_mean; } @@ -119,29 +119,29 @@ inverse_gaussian_distribution(RealType,RealType)->inverse_gaussian_distribution< #endif template <class RealType, class Policy> -inline std::pair<RealType, RealType> range(const inverse_gaussian_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> range(const inverse_gaussian_distribution<RealType, Policy>& /*dist*/) { // Range of permissible values for random variable x, zero to max. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0.), max_value<RealType>()); // - to + max value. + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0.), max_value<RealType>()); // - to + max value. } template <class RealType, class Policy> -inline std::pair<RealType, RealType> support(const inverse_gaussian_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> support(const inverse_gaussian_distribution<RealType, Policy>& /*dist*/) { // Range of supported values for random variable x, zero to max. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0.), max_value<RealType>()); // - to + max value. + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0.), max_value<RealType>()); // - to + max value. } template <class RealType, class Policy> -inline RealType pdf(const inverse_gaussian_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType pdf(const inverse_gaussian_distribution<RealType, Policy>& dist, const RealType& x) { // Probability Density Function BOOST_MATH_STD_USING // for ADL of std functions RealType scale = dist.scale(); RealType mean = dist.mean(); RealType result = 0; - static const char* function = "boost::math::pdf(const inverse_gaussian_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const inverse_gaussian_distribution<%1%>&, %1%)"; if(false == detail::check_scale(function, scale, &result, Policy())) { return result; @@ -171,14 +171,14 @@ inline RealType pdf(const inverse_gaussian_distribution<RealType, Policy>& dist, } // pdf template <class RealType, class Policy> -inline RealType logpdf(const inverse_gaussian_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logpdf(const inverse_gaussian_distribution<RealType, Policy>& dist, const RealType& x) { // Probability Density Function BOOST_MATH_STD_USING // for ADL of std functions RealType scale = dist.scale(); RealType mean = dist.mean(); - RealType result = -std::numeric_limits<RealType>::infinity(); - static const char* function = "boost::math::logpdf(const inverse_gaussian_distribution<%1%>&, %1%)"; + RealType result = -boost::math::numeric_limits<RealType>::infinity(); + constexpr auto function = "boost::math::logpdf(const inverse_gaussian_distribution<%1%>&, %1%)"; if(false == detail::check_scale(function, scale, &result, Policy())) { return result; @@ -198,7 +198,7 @@ inline RealType logpdf(const inverse_gaussian_distribution<RealType, Policy>& di if (x == 0) { - return std::numeric_limits<RealType>::quiet_NaN(); // Convenient, even if not defined mathematically. log(0) + return boost::math::numeric_limits<RealType>::quiet_NaN(); // Convenient, even if not defined mathematically. log(0) } const RealType two_pi = boost::math::constants::two_pi<RealType>(); @@ -208,13 +208,13 @@ inline RealType logpdf(const inverse_gaussian_distribution<RealType, Policy>& di } // pdf template <class RealType, class Policy> -inline RealType cdf(const inverse_gaussian_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const inverse_gaussian_distribution<RealType, Policy>& dist, const RealType& x) { // Cumulative Density Function. BOOST_MATH_STD_USING // for ADL of std functions. RealType scale = dist.scale(); RealType mean = dist.mean(); - static const char* function = "boost::math::cdf(const inverse_gaussian_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const inverse_gaussian_distribution<%1%>&, %1%)"; RealType result = 0; if(false == detail::check_scale(function, scale, &result, Policy())) { @@ -257,11 +257,11 @@ template <class RealType, class Policy> struct inverse_gaussian_quantile_functor { - inverse_gaussian_quantile_functor(const boost::math::inverse_gaussian_distribution<RealType, Policy> dist, RealType const& p) + BOOST_MATH_GPU_ENABLED inverse_gaussian_quantile_functor(const boost::math::inverse_gaussian_distribution<RealType, Policy> dist, RealType const& p) : distribution(dist), prob(p) { } - boost::math::tuple<RealType, RealType> operator()(RealType const& x) + BOOST_MATH_GPU_ENABLED boost::math::tuple<RealType, RealType> operator()(RealType const& x) { RealType c = cdf(distribution, x); RealType fx = c - prob; // Difference cdf - value - to minimize. @@ -277,11 +277,11 @@ struct inverse_gaussian_quantile_functor template <class RealType, class Policy> struct inverse_gaussian_quantile_complement_functor { - inverse_gaussian_quantile_complement_functor(const boost::math::inverse_gaussian_distribution<RealType, Policy> dist, RealType const& p) + BOOST_MATH_GPU_ENABLED inverse_gaussian_quantile_complement_functor(const boost::math::inverse_gaussian_distribution<RealType, Policy> dist, RealType const& p) : distribution(dist), prob(p) { } - boost::math::tuple<RealType, RealType> operator()(RealType const& x) + BOOST_MATH_GPU_ENABLED boost::math::tuple<RealType, RealType> operator()(RealType const& x) { RealType c = cdf(complement(distribution, x)); RealType fx = c - prob; // Difference cdf - value - to minimize. @@ -298,7 +298,7 @@ struct inverse_gaussian_quantile_complement_functor namespace detail { template <class RealType> - inline RealType guess_ig(RealType p, RealType mu = 1, RealType lambda = 1) + BOOST_MATH_GPU_ENABLED inline RealType guess_ig(RealType p, RealType mu = 1, RealType lambda = 1) { // guess at random variate value x for inverse gaussian quantile. BOOST_MATH_STD_USING using boost::math::policies::policy; @@ -350,14 +350,14 @@ namespace detail } // namespace detail template <class RealType, class Policy> -inline RealType quantile(const inverse_gaussian_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const inverse_gaussian_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std functions. // No closed form exists so guess and use Newton Raphson iteration. RealType mean = dist.mean(); RealType scale = dist.scale(); - static const char* function = "boost::math::quantile(const inverse_gaussian_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const inverse_gaussian_distribution<%1%>&, %1%)"; RealType result = 0; if(false == detail::check_scale(function, scale, &result, Policy())) @@ -388,7 +388,7 @@ inline RealType quantile(const inverse_gaussian_distribution<RealType, Policy>& // digits used to control how accurate to try to make the result. // To allow user to control accuracy versus speed, int get_digits = policies::digits<RealType, Policy>();// get digits from policy, - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); // and max iterations. + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); // and max iterations. using boost::math::tools::newton_raphson_iterate; result = newton_raphson_iterate(inverse_gaussian_quantile_functor<RealType, Policy>(dist, p), guess, min, max, get_digits, max_iter); @@ -401,14 +401,14 @@ inline RealType quantile(const inverse_gaussian_distribution<RealType, Policy>& } // quantile template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<inverse_gaussian_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<inverse_gaussian_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions. RealType scale = c.dist.scale(); RealType mean = c.dist.mean(); RealType x = c.param; - static const char* function = "boost::math::cdf(const complement(inverse_gaussian_distribution<%1%>&), %1%)"; + constexpr auto function = "boost::math::cdf(const complement(inverse_gaussian_distribution<%1%>&), %1%)"; RealType result = 0; if(false == detail::check_scale(function, scale, &result, Policy())) @@ -437,13 +437,13 @@ inline RealType cdf(const complemented2_type<inverse_gaussian_distribution<RealT } // cdf complement template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<inverse_gaussian_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<inverse_gaussian_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions RealType scale = c.dist.scale(); RealType mean = c.dist.mean(); - static const char* function = "boost::math::quantile(const complement(inverse_gaussian_distribution<%1%>&), %1%)"; + constexpr auto function = "boost::math::quantile(const complement(inverse_gaussian_distribution<%1%>&), %1%)"; RealType result = 0; if(false == detail::check_scale(function, scale, &result, Policy())) return result; @@ -464,7 +464,7 @@ inline RealType quantile(const complemented2_type<inverse_gaussian_distribution< // int digits = std::numeric_limits<RealType>::digits; // Maximum possible binary digits accuracy for type T. // digits used to control how accurate to try to make the result. int get_digits = policies::digits<RealType, Policy>(); - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); using boost::math::tools::newton_raphson_iterate; result = newton_raphson_iterate(inverse_gaussian_quantile_complement_functor<RealType, Policy>(c.dist, q), guess, min, max, get_digits, max_iter); if (max_iter >= policies::get_max_root_iterations<Policy>()) @@ -476,25 +476,25 @@ inline RealType quantile(const complemented2_type<inverse_gaussian_distribution< } // quantile template <class RealType, class Policy> -inline RealType mean(const inverse_gaussian_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const inverse_gaussian_distribution<RealType, Policy>& dist) { // aka mu return dist.mean(); } template <class RealType, class Policy> -inline RealType scale(const inverse_gaussian_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType scale(const inverse_gaussian_distribution<RealType, Policy>& dist) { // aka lambda return dist.scale(); } template <class RealType, class Policy> -inline RealType shape(const inverse_gaussian_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType shape(const inverse_gaussian_distribution<RealType, Policy>& dist) { // aka phi return dist.shape(); } template <class RealType, class Policy> -inline RealType standard_deviation(const inverse_gaussian_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType standard_deviation(const inverse_gaussian_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING RealType scale = dist.scale(); @@ -504,7 +504,7 @@ inline RealType standard_deviation(const inverse_gaussian_distribution<RealType, } template <class RealType, class Policy> -inline RealType mode(const inverse_gaussian_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const inverse_gaussian_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING RealType scale = dist.scale(); @@ -515,7 +515,7 @@ inline RealType mode(const inverse_gaussian_distribution<RealType, Policy>& dist } template <class RealType, class Policy> -inline RealType skewness(const inverse_gaussian_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const inverse_gaussian_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING RealType scale = dist.scale(); @@ -525,7 +525,7 @@ inline RealType skewness(const inverse_gaussian_distribution<RealType, Policy>& } template <class RealType, class Policy> -inline RealType kurtosis(const inverse_gaussian_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const inverse_gaussian_distribution<RealType, Policy>& dist) { RealType scale = dist.scale(); RealType mean = dist.mean(); @@ -534,7 +534,7 @@ inline RealType kurtosis(const inverse_gaussian_distribution<RealType, Policy>& } template <class RealType, class Policy> -inline RealType kurtosis_excess(const inverse_gaussian_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const inverse_gaussian_distribution<RealType, Policy>& dist) { RealType scale = dist.scale(); RealType mean = dist.mean(); diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/landau.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/landau.hpp new file mode 100644 index 0000000000..129eca2879 --- /dev/null +++ b/contrib/restricted/boost/math/include/boost/math/distributions/landau.hpp @@ -0,0 +1,4642 @@ +// Copyright Takuma Yoshimura 2024. +// Copyright Matt Borland 2024 +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file +// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) + +#ifndef BOOST_STATS_LANDAU_HPP +#define BOOST_STATS_LANDAU_HPP + +#ifdef _MSC_VER +#pragma warning(push) +#pragma warning(disable : 4127) // conditional expression is constant +#endif + +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/constants/constants.hpp> +#include <boost/math/distributions/complement.hpp> +#include <boost/math/distributions/detail/common_error_handling.hpp> +#include <boost/math/distributions/detail/derived_accessors.hpp> +#include <boost/math/tools/rational.hpp> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> +#include <boost/math/tools/promotion.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/distributions/fwd.hpp> +#include <boost/math/tools/big_constant.hpp> +#include <utility> +#include <cmath> +#endif + +namespace boost { namespace math { +template <class RealType, class Policy> +class landau_distribution; + +namespace detail { + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_pdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 1) { + // Rational Approximation + // Maximum Relative Error: 6.1179e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(2.62240126375351657026e-1), + static_cast<RealType>(3.37943593381366824691e-1), + static_cast<RealType>(1.53537606095123787618e-1), + static_cast<RealType>(3.01423783265555668011e-2), + static_cast<RealType>(2.66982581491576132363e-3), + static_cast<RealType>(-1.57344124519315009970e-5), + static_cast<RealType>(3.46237168332264544791e-7), + static_cast<RealType>(2.54512306953704347532e-8), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.61596691542333069131e0), + static_cast<RealType>(1.31560197919990191004e0), + static_cast<RealType>(6.37865139714920275881e-1), + static_cast<RealType>(1.99051021258743986875e-1), + static_cast<RealType>(3.73788085017437528274e-2), + static_cast<RealType>(3.72580876403774116752e-3), + }; + + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if(x < 2){ + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 2.1560e-17 + BOOST_MATH_STATIC const RealType P[6] = { + static_cast<RealType>(1.63531240868022603476e-1), + static_cast<RealType>(1.42818648212508067982e-1), + static_cast<RealType>(4.95816076364679661943e-2), + static_cast<RealType>(8.59234710489723831273e-3), + static_cast<RealType>(5.76649181954629544285e-4), + static_cast<RealType>(-5.66279925274108366994e-7), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.41478104966077351483e0), + static_cast<RealType>(9.41180365857002724714e-1), + static_cast<RealType>(3.65084346985789448244e-1), + static_cast<RealType>(8.77396986274371571301e-2), + static_cast<RealType>(1.24233749817860139205e-2), + static_cast<RealType>(8.57476298543168142524e-4), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 9.1732e-19 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(9.55242261334771588094e-2), + static_cast<RealType>(6.66529732353979943139e-2), + static_cast<RealType>(1.80958840194356287100e-2), + static_cast<RealType>(2.34205449064047793618e-3), + static_cast<RealType>(1.16859089123286557482e-4), + static_cast<RealType>(-1.48761065213531458940e-7), + static_cast<RealType>(4.37245276130361710865e-9), + static_cast<RealType>(-8.10479404400603805292e-11), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.21670723402658089612e0), + static_cast<RealType>(6.58224466688607822769e-1), + static_cast<RealType>(2.00828142796698077403e-1), + static_cast<RealType>(3.64962053761472303153e-2), + static_cast<RealType>(3.76034152661165826061e-3), + static_cast<RealType>(1.74723754509505656326e-4), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 7.6621e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(3.83643820409470770350e-2), + static_cast<RealType>(1.97555000044256883088e-2), + static_cast<RealType>(3.71748668368617282698e-3), + static_cast<RealType>(3.04022677703754827113e-4), + static_cast<RealType>(8.76328889784070114569e-6), + static_cast<RealType>(-3.34900379044743745961e-9), + static_cast<RealType>(5.36581791174380716937e-11), + static_cast<RealType>(-5.50656207669255770963e-13), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(9.09290785092251223006e-1), + static_cast<RealType>(3.49404120360701349529e-1), + static_cast<RealType>(7.23730835206014275634e-2), + static_cast<RealType>(8.47875744543245845354e-3), + static_cast<RealType>(5.28021165718081084884e-4), + static_cast<RealType>(1.33941126695887244822e-5), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 6.6311e-19 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.12656323880287532947e-2), + static_cast<RealType>(2.87311140580416132088e-3), + static_cast<RealType>(2.61788674390925516376e-4), + static_cast<RealType>(9.74096895307400300508e-6), + static_cast<RealType>(1.19317564431052244154e-7), + static_cast<RealType>(-6.99543778035110375565e-12), + static_cast<RealType>(4.33383971045699197233e-14), + static_cast<RealType>(-1.75185581239955717728e-16), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(4.94430267268436822392e-1), + static_cast<RealType>(1.00370783567964448346e-1), + static_cast<RealType>(1.05989564733662652696e-2), + static_cast<RealType>(6.04942184472254239897e-4), + static_cast<RealType>(1.72741008294864428917e-5), + static_cast<RealType>(1.85398104367945191152e-7), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 5.6459e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(2.83847488747490686627e-3), + static_cast<RealType>(4.95641151588714788287e-4), + static_cast<RealType>(2.79159792287747766415e-5), + static_cast<RealType>(5.93951761884139733619e-7), + static_cast<RealType>(3.89602689555407749477e-9), + static_cast<RealType>(-4.86595415551823027835e-14), + static_cast<RealType>(9.68524606019510324447e-17), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.01847536766892219351e-1), + static_cast<RealType>(3.63152433272831196527e-2), + static_cast<RealType>(2.20938897517130866817e-3), + static_cast<RealType>(7.05424834024833384294e-5), + static_cast<RealType>(1.09010608366510938768e-6), + static_cast<RealType>(6.08711307451776092405e-9), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 6.5205e-17 + BOOST_MATH_STATIC const RealType P[6] = { + static_cast<RealType>(6.85767880395157523315e-4), + static_cast<RealType>(4.08288098461672797376e-5), + static_cast<RealType>(8.10640732723079320426e-7), + static_cast<RealType>(6.10891161505083972565e-9), + static_cast<RealType>(1.37951861368789813737e-11), + static_cast<RealType>(-1.25906441382637535543e-17), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.23722380864018634550e-1), + static_cast<RealType>(6.05800403141772433527e-3), + static_cast<RealType>(1.47809654123655473551e-4), + static_cast<RealType>(1.84909364620926802201e-6), + static_cast<RealType>(1.08158235309005492372e-8), + static_cast<RealType>(2.16335841791921214702e-11), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(x) < 8) { + RealType t = log2(ldexp(x, -6)); + + // Rational Approximation + // Maximum Relative Error: 3.5572e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(6.78613480244945294595e-1), + static_cast<RealType>(9.61675759893298556080e-1), + static_cast<RealType>(3.45159462006746978086e-1), + static_cast<RealType>(6.32803373041761027814e-2), + static_cast<RealType>(6.93646175256407852991e-3), + static_cast<RealType>(4.69867700169714338273e-4), + static_cast<RealType>(1.76219117171149694118e-5), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.44693640094228656726e0), + static_cast<RealType>(5.46298626321591162873e-1), + static_cast<RealType>(1.01572892952421447864e-1), + static_cast<RealType>(1.04982575345680980744e-2), + static_cast<RealType>(7.65591730392359463367e-4), + static_cast<RealType>(2.69383817793665674679e-5), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x * x); + } + else if (ilogb(x) < 16) { + RealType t = log2(ldexp(x, -8)); + + // Rational Approximation + // Maximum Relative Error: 5.7408e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(6.51438485661317103070e-1), + static_cast<RealType>(2.67941671074735988081e-1), + static_cast<RealType>(5.18564629295719783781e-2), + static_cast<RealType>(6.18976337233135940231e-3), + static_cast<RealType>(5.08042228681335953236e-4), + static_cast<RealType>(2.97268230746003939324e-5), + static_cast<RealType>(1.24283200336057908183e-6), + static_cast<RealType>(3.35670921544537716055e-8), + static_cast<RealType>(5.06987792821954864905e-10), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(4.23792506680780833665e-1), + static_cast<RealType>(8.17040643791396371682e-2), + static_cast<RealType>(9.63961713981621216197e-3), + static_cast<RealType>(8.06584713485725204135e-4), + static_cast<RealType>(4.62050471704120102023e-5), + static_cast<RealType>(1.96919734048024406173e-6), + static_cast<RealType>(5.23890369587103685278e-8), + static_cast<RealType>(7.99399970089366802728e-10), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x * x); + } + else if (ilogb(x) < 32) { + RealType t = log2(ldexp(x, -16)); + + // Rational Approximation + // Maximum Relative Error: 1.0195e-17 + BOOST_MATH_STATIC const RealType P[10] = { + static_cast<RealType>(6.36745544906925230102e-1), + static_cast<RealType>(2.06319686601209029700e-1), + static_cast<RealType>(3.27498059700133287053e-2), + static_cast<RealType>(3.30913729536910108000e-3), + static_cast<RealType>(2.34809665750270531592e-4), + static_cast<RealType>(1.21234086846551635407e-5), + static_cast<RealType>(4.55253563898240922019e-7), + static_cast<RealType>(1.17544434819877511707e-8), + static_cast<RealType>(1.76754192209232807941e-10), + static_cast<RealType>(-2.78616504641875874275e-17), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.24145654925686670201e-1), + static_cast<RealType>(5.14350019501887110402e-2), + static_cast<RealType>(5.19867984016649969928e-3), + static_cast<RealType>(3.68798608372265018587e-4), + static_cast<RealType>(1.90449594112666257344e-5), + static_cast<RealType>(7.15068261954120746192e-7), + static_cast<RealType>(1.84646096630493837656e-8), + static_cast<RealType>(2.77636277083994601941e-10), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x * x); + } + else if (ilogb(x) < 64) { + RealType t = log2(ldexp(x, -32)); + + // Rational Approximation + // Maximum Relative Error: 8.0433e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(6.36619776379492082324e-1), + static_cast<RealType>(2.68158440168597706495e-1), + static_cast<RealType>(5.49040993767853738389e-2), + static_cast<RealType>(7.23458585096723552751e-3), + static_cast<RealType>(6.85438876301780090281e-4), + static_cast<RealType>(4.84561891424380633578e-5), + static_cast<RealType>(2.82092117716081590941e-6), + static_cast<RealType>(9.57557353473514565245e-8), + static_cast<RealType>(5.16773829224576217348e-9), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(4.21222294324039934056e-1), + static_cast<RealType>(8.62431574655015481812e-2), + static_cast<RealType>(1.13640608906815986975e-2), + static_cast<RealType>(1.07668486873466248474e-3), + static_cast<RealType>(7.61148039258802068270e-5), + static_cast<RealType>(4.43109262308946031382e-6), + static_cast<RealType>(1.50412757354817481381e-7), + static_cast<RealType>(8.11746432728995551732e-9), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x * x); + } + else{ + result = 2 / (constants::pi<RealType>() * x * x); + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_pdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 1) { + // Rational Approximation + // Maximum Relative Error: 7.4629e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.62240126375351657025589608183516471315e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.94698530837122818345222883832757839888e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06728003509081587907620543204047536319e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.41256254272104786752190871391781331271e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.34420233794664437979710204055323742199e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.55021337841765667713712845735938627884e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.90557752737535583908921594594761570259e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.89899202021818926241643215600800085123e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.19635143827754893815649685600837995626e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.90989458941330917626663002392683325107e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.92038069341802550019371049232152823407e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.40251964644989324856906264776204142653e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.55873076454666680466531097660277995317e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.80771940886011613393622410616035955976e-13), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.35771004134750535117224809381897395331e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.37002484862962406489509174332580745411e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.40833952846707180337506160933176158766e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.81709029902887471895588386777029652661e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.98824705588020901032379932614151640505e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.83767868823957223030472664574235892682e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.35718995485026064249286377096427165287e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.37305148463792922843850823142976586205e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.06575764439154972544253668821920460826e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07663693811543002088092708395572161856e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.09711221791106684926377106608027279057e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.91302186546138009232520527964387543006e-6), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 6.6684e-38 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63531240868022603475813051802104652763e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.17803013130262393286657457221415701909e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.77780575692956605214628767143941600132e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44224824965135546671876867759691622832e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.93294212655117265065191070995706405837e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16021988737209938284910541133167243163e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.89245591723934954825306673917695058577e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.09614731993308746343064543583426077485e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48578173962833046113032690615443901556e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.91098199913613774034789276073191721350e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.46788618410999858374206722394998550706e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.14296339768511312584670061679121003569e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.52631422678659858574974085885146420544e-15), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.48481735580594347909096198787726314434e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.91598585888012869317473155570063821216e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.12672162924784178863164220170459406872e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06981909640884405591730537337036849744e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.89767326897694369071250285702215471082e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05098647402530640576816174680275844283e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.10454903166951593161839822697382452489e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.08850649343579977859251275585834901546e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.21168773136767495960695426112972188729e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21420361560900449851206650427538430926e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.84456961344035545134425261150891935402e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46462389440125559723382692664970874255e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 6.3397e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.55242261334771588093967856464157010584e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48866040463435403672044647455806606078e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04241715667984551487882549843428953917e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.32030608366022483736940428739436921577e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17209924605508887793687609139940354371e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.16808856405217460367038406337257561698e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75466331296758720822164534334356742122e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.35657250222166360635152712608912585973e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.28870137478821561164537700376942753108e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.07556331078347991810236646922418944687e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.18067019247793233704208913546277631267e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.96745094401496364651919224112160111958e-12), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.07735872062601280828576861757316683396e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.00667909426245388114411629440735066799e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18840123665979969294228925712434860653e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.79233661359264185181083948452464063323e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.38221013998193410441723488211346327478e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.91365002115280149925615665651486504495e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.50379182630668701710656913597366961277e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.03946139315999749917224356955071595508e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.95417998434227083224840824790387887539e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.05109028829536837163462811783445124876e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.33125282515685091345480270760501403655e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.58127838888839012133236453180928291822e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.64781659622256824499981528095809140284e-12), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 8.0238e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.83643820409470770350079809236512802618e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.02996762669868036727057860510914079553e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.88220267784864518806154823373656292346e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.12677705163934102871251710968247891123e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.96642570169484318623869835991454809217e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04358807405587072010621764865118316919e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.09461879230275452416933096674703383719e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.06823998699058163165831211561331795518e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24129479811279469256914665585439417704e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.01799222004929573125167949870797564244e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27744716755834439008073010185921331093e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.64210356143729930758657624381557123115e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11666384975358223644665199669986358056e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.30202644697506464624965700043476935471e-22), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44479208003384373099160875893986831861e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.54290037675901616362332580709754113529e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.79815821498858750185823401350096868195e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01076480676864621093034009679744852375e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.88607467767854661547920709472888000469e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.51572461182263866462295745828009170865e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.39843444671402317250813055670653845815e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60546478324160472036295355872288494327e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.25462551353792877506974677628167909695e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.05915328498722701961972258866550409117e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.20632869761578411246344533841556350518e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.99438347491752820345051091574883391217e-12), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 3.2541e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.12656323880287532946687856443190592955e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.31374972240605659239154788518240221417e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.10776910971729651587578902049263096117e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.53872632372452909103332647334935138324e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.81756147611150151751911596225474463602e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75302607308223110644722612796766590029e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33839913867469199941739467004997833889e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.32115127487193219555283158969582307620e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.90766547421015851413713511917307214275e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08939895797457378361211153362169024503e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.88597187949354708113046662952288249250e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.62829447082637808482463811005771133942e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.65525705592205245661726488519562256000e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.60698835222044786453848932477732972928e-26), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.88605948104664828377228254521124685930e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.58594705700945215121673591119784576258e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.67113091918430152113322758216774649130e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39583889554372147091140765508385042797e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.57139043074134496391251233307552940106e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.26451960029396455805403758307828624817e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.30400557427446929311350088728080667203e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.99617890540456503276038942480115937467e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.50232186816498003232143065883536003942e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59310652872918546431499274822722004981e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.82203579442241682923277858553949327687e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10345359368438386945407402887625511801e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.55225829972215033873365516486524181445e-17), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 4.1276e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.83847488747490686627461184914507143000e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.61220392257287638364190361688188696363e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.42217711448675893329072184826328300776e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20597728166467972373586650878478687059e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.46404433551447410467051774706080733051e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.27909145305324391651548849043874549520e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.33564789388635859003082815215888382619e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.18456219811686603951886248687349029515e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.92730718471866912036453008101994816885e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.51773776414973336511129801645901922234e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32371094281803507447435352076735970857e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44775294242071078601023962869394690897e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.94920633206242554892676642458535141153e-28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.18030442958390399095902441284074544279e-31), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.65871972115253665568580046072625013145e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.74531522538358367003224536101724206626e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20716479628426451344205712137554469781e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.83247584368619500260722365812456197226e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.52931189426842216323461406426803698335e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19343566926626449933230814579037896037e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.16243058880148231471744235009435586353e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21344088555713979086041331387697053780e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63246599173435592817113618949498524238e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43426263963680589288791782556801934305e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.62386317351298917459659548443220451300e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13281535580097407374477446521496074453e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.27187882784316306216858933778750811182e-21), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 1.8458e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.85767880395157523314894776472286059373e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07684379950498990874449661385130414967e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.29181715091139597455177955800910928786e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.78745116935613858188145093313446961899e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.61522707085521545633529621526418843836e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00989556810424018339768632204186394735e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.94136605359672888838088037894401904574e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.15203266224687619299892471650072720579e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.25349098945982074415471295859193558426e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.31874620165906020409111024866737082384e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.19330888204484008667352280840160186671e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.89951131249530265518610784629981482444e-30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.35979606245171162602352579985003194602e-33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.50946115943875327149319867495704969908e-36), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21212467547297045538111676107434471585e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.17663841151156626845609176694801024524e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.25478800461954401173897968683982253458e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.69831763649657690166671862562231448718e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19712058726935472913461138967922524612e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.11423395018514913507624349385447326009e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.58664605420655866109404476637021322838e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.15398721299264752103644541934654351463e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17567858878427250079920401604119982576e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.92808825029184923713064129493385469531e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.06007644624654848502783947087038305433e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.01246784499782934986619755015082182398e-23), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(x) < 8) { + RealType t = log2(ldexp(x, -6)); + + // Rational Approximation + // Maximum Relative Error: 2.6634e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.78613480244945294594505480426643613242e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.07362312709864018864207848733814857157e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.47727521897653923649758175033206259109e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04183129813120998456717217121703605830e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.09978729224187570508825456585418357590e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.98739784100617344335742510102186570437e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.08596635852958074572320481325030046975e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.34947456497875218771996878497766058580e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31766866003171430205401377671093088134e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.29444683984117745298484117924452498776e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34885173277203843795065094551227568738e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30306828175920576070486704404727265760e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.05908347665846652276910544097430115068e-13), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07218191317166728296013167220324207427e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.38908532499742180532814291654329829544e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63676664387672566455490461784630320677e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.31302647779056928216789214742790688980e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.69477260342662648574925942030720482689e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.82918424748192763052497731722563414651e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.69244295675395948278971027618145225216e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.08928780307959133484802547123672997757e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.11055350627948183551681634293425028439e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22066081452382450191191677443527136733e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.78025987104169227624653323808131280009e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.93164997733174955208299290433803918816e-13), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x * x); + } + else if (ilogb(x) < 16) { + RealType t = log2(ldexp(x, -8)); + + // Rational Approximation + // Maximum Relative Error: 6.1919e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.51438485661317103069553924870169052838e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.29652867028564588922931020456447362877e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.90557738902930002845457640269863338815e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.47622170600415955276436226439948455362e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.75198213226024095368607442455597948634e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.73010116224706573149404022585502812698e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.33440551266376466187512220300943206212e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.27556365758364667507686872656121131255e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.63395763346533783414747536236033733143e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.75408632486279069728789506666930014630e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.74194099205847568739445023334735086627e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.52462367172968216583968200390021647482e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.75367408334713835736514158797013854282e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.62633983586253025227038002631010874719e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46717630077826649018810277799043037738e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.00642537643332236333695338824014611799e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.47351714774371338348451112020520067028e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.15896012319823666881998903857141624070e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.62176014448801854863922778456328119208e-25), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.79042471052521112984740498925369905803e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.55058068535501327896327971200536085268e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33143443551335870264469963604049242325e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75325348141376361676246108294525717629e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.28871858542582365161221803267369985933e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.23702867786056336210872367019916245663e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.14513776996445072162386201808986222616e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.13763070277828149031445006534179375988e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75529866599039195417128499359378019030e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.53029524184341515115464886126119582515e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.10598685541492162454676538516969294049e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75587930183994618721688808612207567233e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.83150895141383746641924725237948860959e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30675015193353451939138512698571954110e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.71774361582156518394662911172142577047e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.03397072601182597002547703682673198965e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.52666999314026491934445577764441483687e-20), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x * x); + } + else if (ilogb(x) < 32) { + RealType t = log2(ldexp(x, -16)); + + // Rational Approximation + // Maximum Relative Error: 1.2411e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.36745544906925230101752563433306496000e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.73688900814770369626527563956988302379e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.81718746296195151971617726268038570065e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.13663059680440438907042970413471861121e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.40004645275531255402942177790836798523e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.80059489775751412372432345156902685277e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.47699576477278882708291693658669435536e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.45226121992756638990044029871581321461e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.13406331882918393195342615955627442395e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.46682598893946975917562485374893408094e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50450743907497671918301557074470352707e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.33121239192492785826422815650499088833e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05998176182038788839361491871608950696e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.17857918044922309623941523489531919822e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.67865547879145051715131144371287619666e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.89654931108624296326740455618289840327e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.73017950634516660552375272495618707905e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.68519137981001059472024985205381913202e-24), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.29948066505039082395951244410552705780e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.13730690908098361287472898564563217987e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27810872138103132689695155123062073221e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31948058845675193039732511839435290811e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06822729610151747708260147063757668707e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.03250522904270408071762059653475885811e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.85197262150009124871794386644476067020e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.78139536405831228129042087771755615472e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.01642938314578533660138738069251610818e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.36328724659833107203404258336776286146e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.80342430290059616305921915291683180697e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.66502051110007556897014898713746069491e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.42209715361911856322028597714105225748e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.77842582605458905635718323117222788078e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.69147628396460384758492682185049535079e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.43015110519230289924122344324563890953e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.21788819753161690674882271896091269356e-24), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x * x); + } + else if (ilogb(x) < 64) { + RealType t = log2(ldexp(x, -32)); + + // Rational Approximation + // Maximum Relative Error: 2.0348e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.36619776379492082323649724050601750141e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29818158612993476124594583743266388964e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.07736315744724186061845512973085067283e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.72566458808745644851080213349673559756e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.01243670706840752914099834172565920736e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.65306557791300593593488790517297048902e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41751291649776832705247036453540452119e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.26652535267657618112731521308564571490e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.32742926765578976373764178875983383214e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.32948532312961882464151446137719196209e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96536595631611560703804402181953334762e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.48463581600017734001916804890205661347e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.65588239861378749665334852913775575615e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39462290798829172203386678450961569536e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83049279786679854738508318703604392055e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.87131679136229094080572090496960701828e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.35977519905679446758726709186381481753e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.50639358104925465711435411537609380290e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.47593981758247424082096107205150226114e-40), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.60997521267746350015610841742718472657e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.40470704349086277215167519790809981379e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.42305660178694704379572259575557934523e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.30272082429322808188807034927827414359e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.16742567294582284534194935923915261582e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22662407906450293978092195442686428843e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.84343501655116670387608730076359018869e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.65591734166216912475609790035240582537e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15131286290573570519912674341226377625e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.08718962387679715644203327604824250850e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.04444946843492647477476784817227903589e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.35966282749098189010715902284098451987e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19066854132814661112207991393498039851e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.87533136296192957063599695937632598999e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.93945754223094281767677343057286164777e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13592988790740273103099465658198617078e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.64942281110142621080966631872844557766e-26), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x * x); + } + else if (ilogb(x) < 128) { + RealType t = log2(ldexp(x, -64)); + + // Rational Approximation + // Maximum Relative Error: 4.3963e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.36619772367581344984274685280416528592e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.72417390936686577479751162141499390532e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.74319117326966091295365258834959120634e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.94269681742277805376258823511210253023e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.09354876913180019634171748490068797632e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.46986612543101357465265079580805403382e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.21726753043764920243710352514279216684e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29971756326232375757519588897328507962e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06770117983967828996891025614645348127e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.27141668055392041978388268556174062945e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48383887723476619460217715361289178429e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.49530301203157403427315504054500005836e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18668427867427341566476567665953082312e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.73377083349017331494144334612902128610e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.32380647653444581710582396517056104063e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.29865827039123699411352876626634361936e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07464506614287925844993490382319608619e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60173555862875972119871402681133785088e-23), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.27912237038396638341492536677313983747e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.02138359905285600768927677649467546192e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24763589856532154099789305018886222841e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27133166772875885088000073325642460162e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01628419446817660009223289575239926907e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.62446834592284424116329218260348474201e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.61238790103816844895453935630752859272e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.67714109140674398508739253084218270557e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.70952563202454851902810005226033501692e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.33080865791583428494353408816388908148e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.06120545912923145572220606396715398781e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.86403930600680015325844027465766431761e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.29419718354538719350803683985104818654e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.36261565790718847159482447247645891176e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46062982552515416754702177333530968405e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.68804852250549346018535616711418533423e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.51600033199082754845231795160728350588e-23), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x * x); + } + else { + result = 2 / (constants::pi<RealType>() * x * x); + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_pdf_minus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if(x >= -1){ + RealType t = x + 1; + + // Rational Approximation + // Maximum Relative Error: 9.3928e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(2.21762208692280384264e-1), + static_cast<RealType>(7.10041055270973473923e-1), + static_cast<RealType>(8.66556480457430718380e-1), + static_cast<RealType>(4.78718713740071686348e-1), + static_cast<RealType>(1.03670563650247405820e-1), + static_cast<RealType>(4.31699263023057628473e-3), + static_cast<RealType>(1.72029926636215817416e-3), + static_cast<RealType>(-2.76271972015177236271e-4), + static_cast<RealType>(1.89483904652983701680e-5), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1), + static_cast<RealType>(2.18155995697310361937e0), + static_cast<RealType>(2.53173077603836285217e0), + static_cast<RealType>(1.91802065831309251416e0), + static_cast<RealType>(9.94481663032480077373e-1), + static_cast<RealType>(3.72037148486473195054e-1), + static_cast<RealType>(8.85828240211801048938e-2), + static_cast<RealType>(1.41354784778520560313e-2), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -2) { + RealType t = x + 2; + + // Rational Approximation + // Maximum Relative Error: 2.4742e-18 + BOOST_MATH_STATIC const RealType P[11] = { + static_cast<RealType>(6.50763682207511020789e-3), + static_cast<RealType>(5.73790055136022120436e-2), + static_cast<RealType>(2.22375662069496257066e-1), + static_cast<RealType>(4.92288611166073916396e-1), + static_cast<RealType>(6.74552077334695078716e-1), + static_cast<RealType>(5.75057550963763663751e-1), + static_cast<RealType>(2.85690710485234671432e-1), + static_cast<RealType>(6.73776735655426117231e-2), + static_cast<RealType>(3.80321995712675339999e-3), + static_cast<RealType>(1.09503400950148681072e-3), + static_cast<RealType>(-9.00045301380982997382e-5), + }; + BOOST_MATH_STATIC const RealType Q[11] = { + static_cast<RealType>(1), + static_cast<RealType>(1.07919389927659014373e0), + static_cast<RealType>(2.56142472873207168042e0), + static_cast<RealType>(1.68357271228504881003e0), + static_cast<RealType>(2.23924151033591770613e0), + static_cast<RealType>(9.05629695159584880257e-1), + static_cast<RealType>(8.94372028246671579022e-1), + static_cast<RealType>(1.98616842716090037437e-1), + static_cast<RealType>(1.70142519339469434183e-1), + static_cast<RealType>(1.46288923980509020713e-2), + static_cast<RealType>(1.26171654901120724762e-2), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + const static RealType lambda_bias = static_cast<RealType>(1.45158270528945486473); // (= log(pi/2)+1) + + RealType sigma = exp(-x * constants::pi<RealType>() / 2 - lambda_bias); + RealType s = exp(-sigma) * sqrt(sigma); + + if (x >= -4) { + RealType t = -x - 2; + + // Rational Approximation + // Maximum Relative Error: 5.8685e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(6.31126317567898819465e-1), + static_cast<RealType>(5.28493759149515726917e-1), + static_cast<RealType>(3.28301410420682938866e-1), + static_cast<RealType>(1.31682639578153092699e-1), + static_cast<RealType>(3.86573798047656547423e-2), + static_cast<RealType>(7.77797337463414935830e-3), + static_cast<RealType>(9.97883658430364658707e-4), + static_cast<RealType>(6.05131104440018116255e-5), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1), + static_cast<RealType>(8.47781139548258655981e-1), + static_cast<RealType>(5.21797290075642096762e-1), + static_cast<RealType>(2.10939174293308469446e-1), + static_cast<RealType>(6.14856955543769263502e-2), + static_cast<RealType>(1.24427885618560158811e-2), + static_cast<RealType>(1.58973907730896566627e-3), + static_cast<RealType>(9.66647686344466292608e-5), + }; + + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -5.1328125) { + RealType t = -x - 4; + + // Rational Approximation + // Maximum Relative Error: 3.2532e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(6.26864481454444278646e-1), + static_cast<RealType>(5.10647753508714204745e-1), + static_cast<RealType>(1.98551443303285119497e-1), + static_cast<RealType>(4.71644854289800143386e-2), + static_cast<RealType>(7.71285919105951697285e-3), + static_cast<RealType>(8.93551020612017939395e-4), + static_cast<RealType>(6.97020145401946303751e-5), + static_cast<RealType>(4.17249760274638104772e-6), + static_cast<RealType>(7.73502439313710606153e-12), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1), + static_cast<RealType>(8.15124079722976906223e-1), + static_cast<RealType>(3.16755852188961901369e-1), + static_cast<RealType>(7.52819418000330690962e-2), + static_cast<RealType>(1.23053506566779662890e-2), + static_cast<RealType>(1.42615273721494498141e-3), + static_cast<RealType>(1.11211928184477279204e-4), + static_cast<RealType>(6.65899898061789485757e-6), + }; + + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + result = 0; + } + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_pdf_minus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x >= -1) { + RealType t = x + 1; + + // Rational Approximation + // Maximum Relative Error: 1.2803e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21762208692280384264052188465103527015e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07121154108880017947709737976750200391e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.34036993772851526455115746887751392080e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.06347688547967680654012636399459376006e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.68662427153576049083876306225433068713e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.67496398036468361727297056409545434117e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.69289909624425652939466055042210850769e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.65649060232973461318206716040181929160e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.93006819232611588097575675157841312689e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34514211575975820725706925256381036061e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.86184594939834946952489805173559003431e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.66982890863184520310462776294335540260e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.28944885271022303878175622411438230193e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.47136245900831864668353768185407977846e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.98034330388999615249606466662289782222e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.67931741921878993598048665757824165533e-12), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.81019852414657529520034272090632311645e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.51602582973416348091361820936922274106e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.87246706500788771729605610442552651673e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.55758863380051182011815572544985924963e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.16921634066377885762356020006515057786e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.28590978860106110644638308039189352463e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.07182688002603587927920766666962846169e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.14413931232875917473403467095618397172e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.59534588679183116305361784906322155131e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.62788361787003488572546802835677555151e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32291670834750583053201239125839728061e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.97300476673137879475887158731166178829e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.99801949382703479169010768105376163814e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.09234481837537672361990844588166022791e-5), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -2) { + RealType t = x + 2; + + // Rational Approximation + // Maximum Relative Error: 3.8590e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.50763682207511020788551990942118742910e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.35160148798611192350830963080055471564e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.85567614778755464918744664468938413626e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24395902843792338723377508551415399267e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75803588325237557939443967923337822799e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.44751743702858358960016891543930028989e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.38771920793989989423514808134997891434e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.99899457801652012757624005300136548027e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.59668432891116320233415536189782241116e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.02521376213276025040458141317737977692e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.00511857068867825025582508627038721402e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.19031970665203475373248353773765801546e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.03203906044415590651592066934331209362e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.01354553335348149914596284286907046333e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.40077709279222086527834844446288408059e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.07036291955272673946830858788691198641e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75229595324028909877518859428663744660e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.51522041748753421579496885726802106514e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.28554063325397021905295499768922434904e-10), + }; + BOOST_MATH_STATIC const RealType Q[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.55889733194498836168215560931863059152e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.45050534010127542130960211621894286688e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39437268390909980446225806216001154876e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85370557677145869100298813360909127310e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.99358236671478050470186012149124879556e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.82914467302553175692644992910876515874e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.42426383410763382224410804289834740252e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.69477085497572590673874940261777949808e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.69832833104494997844651343499526754631e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.95708391432781281454592429473451742972e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32541987059874996779040445020449508142e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.24889827757289516008834701298899804535e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76326709965329347689033555841964826234e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.19652942193884551681987290472603208296e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.22987197033955835618810845653379470109e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.51893290463268547258382709202599507274e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.43575882043846146581825453522967678538e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.06683418138599962787868832158681391673e-5), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + const static RealType lambda_bias = BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.451582705289454864726195229894882143572); // (= log(pi/2)+1) + + RealType sigma = exp(-x * constants::pi<RealType>() / 2 - lambda_bias); + RealType s = exp(-sigma) * sqrt(sigma); + + if (x >= -4) { + RealType t = -x - 2; + + // Rational Approximation + // Maximum Relative Error: 7.0019e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.31126317567898819464557840628449107915e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.31008645911415314700225107327351636697e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.60743397071713227215207831174512626190e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.69243936604887410595461520921270733657e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.93778117053417749769040328795824088196e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.04718815412035890861219665332918840537e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.41914050146414549019258775115663029791e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17147074474397510167661838243237386450e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.31006358624990533313832878493963971249e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.31424805670861981190416637260176493218e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71604447221961082506919140038819715820e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.01796816886825676412069047911936154422e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.16975381608692872525287947181531051179e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.47194712963929503930146780326366215579e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.19469248860267489980690249379132289464e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.22272545853285700254948346226514762534e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.05432616288832680241611577865488417904e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08723511461992818779941378551362882730e-14), + }; + BOOST_MATH_STATIC const RealType Q[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01021278581037282130358759075689669228e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.91783545335316986601746168681457332835e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.90025337163174587593060864843160047245e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.09029833197792884728968597136867674585e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44295160726145715084515736090313329125e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.46416375246465800703437031839310870287e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.86521610039165178072099210670199368231e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.29830357713744587265637686549132688965e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32187562202835921333177458294507064946e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75034541113922116856456794810138543224e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.79216314818261657918748858010817570215e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.69179323869133503169292092727333289999e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.09019623876540244217038375274802731869e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.13900582194674129200395213522524183495e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.92590979457175565666605415984496551246e-9), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -6.875) { + RealType t = -x - 4; + + // Rational Approximation + // Maximum Relative Error: 6.4095e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.26864481454444278645937156746132802908e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.35052316263030534355724898036735352905e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46701697626917441774916114124028252971e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.03805679118924248671851611170709699862e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.29457230118834515743802694404620370943e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.04992992250026414994541561073467805333e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.21521951889983113700615967351903983850e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50611640491200231504944279876023072268e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.96007721851412367657495076592244098807e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.76876967456744990483799856564174838073e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.34285198828980523126745002596084187049e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.98811180672843179022928339476420108494e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.36933707823930146448761204037985193905e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.76515121042989743198432939393805252169e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.87259915481622487665138935922067520210e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34703958446785695676542385299325713141e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.53199672688507288037695102377982544434e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.97283413733676690377949556457649405210e-14), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.15492787140203223641846510939273526038e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.34095796298757853634036909432345998054e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.65650140652391522296109869665871008634e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.44894089102275258806976831589022821974e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.27121975866547045393504246592187721233e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.91803733484503004520983723890062644122e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.40341451263971324381655967408519161854e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.72360046810103129487529493828280649599e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.60986435254173073868329335245110986549e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01216966786091058959421242465309838187e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11514619470960373138100691463949937779e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01639426441970732201346798259534312372e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.60411422906070056043690129326288757143e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.58398956202137709744885774931524547894e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.14956902064425256856583295469934064903e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.23201118234279642321630988607491208515e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43185798646451225275728735761433082676e-13), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + result = 0; + } + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_pdf_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53> &tag) { + if (x >= 0) { + return landau_pdf_plus_imp_prec<RealType>(x, tag); + } + else if (x <= 0) { + return landau_pdf_minus_imp_prec<RealType>(x, tag); + } + else { + return boost::math::numeric_limits<RealType>::quiet_NaN(); + } +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_pdf_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>& tag) { + if (x >= 0) { + return landau_pdf_plus_imp_prec<RealType>(x, tag); + } + else if (x <= 0) { + return landau_pdf_minus_imp_prec<RealType>(x, tag); + } + else { + return boost::math::numeric_limits<RealType>::quiet_NaN(); + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType landau_pdf_imp(const landau_distribution<RealType, Policy>& dist, const RealType& x) { + // + // This calculates the pdf of the Landau distribution and/or its complement. + // + + BOOST_MATH_STD_USING // for ADL of std functions + constexpr auto function = "boost::math::pdf(landau<%1%>&, %1%)"; + RealType result = 0; + RealType location = dist.location(); + RealType scale = dist.scale(); + RealType bias = dist.bias(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + if (false == detail::check_x(function, x, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Landau distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + RealType u = (x - location) / scale + bias; + + result = landau_pdf_imp_prec(u, tag_type()) / scale; + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_cdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 1) { + // Rational Approximation + // Maximum Relative Error: 2.7348e-18 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(6.34761298487625202628e-1), + static_cast<RealType>(7.86558857265845597915e-1), + static_cast<RealType>(4.30220871807399303399e-1), + static_cast<RealType>(1.26410946316538340541e-1), + static_cast<RealType>(2.09346669713191648490e-2), + static_cast<RealType>(1.48926177023501002834e-3), + static_cast<RealType>(-5.93750588554108593271e-7), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(1.65227304522196452589e0), + static_cast<RealType>(1.29276828719607419526e0), + static_cast<RealType>(5.93815051307098615300e-1), + static_cast<RealType>(1.69165968013666952456e-1), + static_cast<RealType>(2.84272940328510367574e-2), + static_cast<RealType>(2.28001970477820696422e-3), + }; + + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 6.1487e-17 + BOOST_MATH_STATIC const RealType P[6] = { + static_cast<RealType>(4.22133240358047652363e-1), + static_cast<RealType>(3.48421126689016131480e-1), + static_cast<RealType>(1.15402429637790321091e-1), + static_cast<RealType>(1.90374044978864005061e-2), + static_cast<RealType>(1.26628667888851698698e-3), + static_cast<RealType>(-5.75103242931559285281e-7), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1), + static_cast<RealType>(1.21277435324167238159e0), + static_cast<RealType>(6.38324046905267845243e-1), + static_cast<RealType>(1.81723381692749892660e-1), + static_cast<RealType>(2.80457012073363245106e-2), + static_cast<RealType>(1.93749385908189487538e-3), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 3.2975e-17 + BOOST_MATH_STATIC const RealType P[6] = { + static_cast<RealType>(2.95892137955791216378e-1), + static_cast<RealType>(2.29083899043580095868e-1), + static_cast<RealType>(7.09374171394372356009e-2), + static_cast<RealType>(1.08774274442674552229e-2), + static_cast<RealType>(7.69674715320139398655e-4), + static_cast<RealType>(1.63486840000680408991e-5), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(1.09704883482087441931e0), + static_cast<RealType>(5.10139057077147935327e-1), + static_cast<RealType>(1.27055234007499238241e-1), + static_cast<RealType>(1.74542139987310825683e-2), + static_cast<RealType>(1.18944143641885993718e-3), + static_cast<RealType>(2.55296292914537992309e-5), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 2.6740e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.73159318667565938776e-1), + static_cast<RealType>(6.95847424776057206679e-2), + static_cast<RealType>(1.04513924567165899506e-2), + static_cast<RealType>(6.35094718543965631442e-4), + static_cast<RealType>(1.04166111154771164657e-5), + static_cast<RealType>(1.43633490646363733467e-9), + static_cast<RealType>(-4.55493341295654514558e-11), + static_cast<RealType>(6.71119091495929467041e-13), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1), + static_cast<RealType>(6.23409270429130114247e-1), + static_cast<RealType>(1.54791925441839372663e-1), + static_cast<RealType>(1.85626981728559445893e-2), + static_cast<RealType>(1.01414235673220405086e-3), + static_cast<RealType>(1.63385654535791481980e-5), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 7.6772e-18 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(8.90469147411748292410e-2), + static_cast<RealType>(2.76033447621178662228e-2), + static_cast<RealType>(3.26577485081539607943e-3), + static_cast<RealType>(1.77755752909150255339e-4), + static_cast<RealType>(4.20716551767396206445e-6), + static_cast<RealType>(3.19415703637929092564e-8), + static_cast<RealType>(-1.79900915228302845362e-13), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(4.36499987260915480890e-1), + static_cast<RealType>(7.67544181756713372678e-2), + static_cast<RealType>(6.83535263652329633233e-3), + static_cast<RealType>(3.15983778969051850073e-4), + static_cast<RealType>(6.84144567273078698399e-6), + static_cast<RealType>(5.00300197147417963939e-8), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 1.5678e-20 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(4.35157264931262089762e-2), + static_cast<RealType>(8.46833474333913742597e-3), + static_cast<RealType>(6.43769318301002170686e-4), + static_cast<RealType>(2.39440197089740502223e-5), + static_cast<RealType>(4.45572968892675484685e-7), + static_cast<RealType>(3.76071815793351687179e-9), + static_cast<RealType>(1.04851094362145160445e-11), + static_cast<RealType>(-8.50646541795105885254e-18), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1), + static_cast<RealType>(2.59832721225510968607e-1), + static_cast<RealType>(2.75929030381330309762e-2), + static_cast<RealType>(1.53115657043391090526e-3), + static_cast<RealType>(4.70173086825204710446e-5), + static_cast<RealType>(7.76185172490852556883e-7), + static_cast<RealType>(6.10512879655564540102e-9), + static_cast<RealType>(1.64522607881748812093e-11), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 2.2534e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(2.11253031965493064317e-2), + static_cast<RealType>(1.36656844320536022509e-3), + static_cast<RealType>(2.99036224749763963099e-5), + static_cast<RealType>(2.54538665523638998222e-7), + static_cast<RealType>(6.79286608893558228264e-10), + static_cast<RealType>(-6.92803349600061706079e-16), + static_cast<RealType>(5.47233092767314029032e-19), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1), + static_cast<RealType>(9.71506209641408410168e-2), + static_cast<RealType>(3.52744690483830496158e-3), + static_cast<RealType>(5.85142319429623560735e-5), + static_cast<RealType>(4.29686638196055795330e-7), + static_cast<RealType>(1.06586221304077993137e-9), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(x) < 8) { + RealType t = log2(ldexp(x, -6)); + + // Rational Approximation + // Maximum Relative Error: 3.8057e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(6.60754766433212615409e-1), + static_cast<RealType>(2.47190065739055522599e-1), + static_cast<RealType>(4.17560046901040308267e-2), + static_cast<RealType>(3.71520821873148657971e-3), + static_cast<RealType>(2.03659383008528656781e-4), + static_cast<RealType>(2.52070598577347523483e-6), + static_cast<RealType>(-1.63741595848354479992e-8), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1), + static_cast<RealType>(3.92836792184266080580e-1), + static_cast<RealType>(6.64332913820571574875e-2), + static_cast<RealType>(5.59456053716889879620e-3), + static_cast<RealType>(3.44201583106671507027e-4), + static_cast<RealType>(2.74554105716911980435e-6), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x); + } + else if (ilogb(x) < 16) { + RealType t = log2(ldexp(x, -8)); + + // Rational Approximation + // Maximum Relative Error: 1.5585e-18 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(6.44802371584831601817e-1), + static_cast<RealType>(2.74177359656349204309e-1), + static_cast<RealType>(5.53659240731871433983e-2), + static_cast<RealType>(6.97653365560511851744e-3), + static_cast<RealType>(6.17058143529799037402e-4), + static_cast<RealType>(3.94979574476108021136e-5), + static_cast<RealType>(1.88315864113369221822e-6), + static_cast<RealType>(6.10941845734962836501e-8), + static_cast<RealType>(1.39403332890347813312e-9), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1), + static_cast<RealType>(4.32345127287830884682e-1), + static_cast<RealType>(8.70500634789942065799e-2), + static_cast<RealType>(1.09253956356393590470e-2), + static_cast<RealType>(9.72576825490118007977e-4), + static_cast<RealType>(6.18656322285414147985e-5), + static_cast<RealType>(2.96375876501823390564e-6), + static_cast<RealType>(9.58622809886777038970e-8), + static_cast<RealType>(2.19059124630695181004e-9), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x); + } + else if (ilogb(x) < 32) { + RealType t = log2(ldexp(x, -16)); + + // Rational Approximation + // Maximum Relative Error: 8.4773e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(6.36685748306554972132e-1), + static_cast<RealType>(2.22217783148381285219e-1), + static_cast<RealType>(3.79173960692559280353e-2), + static_cast<RealType>(4.13394722917837684942e-3), + static_cast<RealType>(3.18141233442663766089e-4), + static_cast<RealType>(1.79745613243740552736e-5), + static_cast<RealType>(7.47632665728046334131e-7), + static_cast<RealType>(2.18258684729250152138e-8), + static_cast<RealType>(3.93038365129320422968e-10), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1), + static_cast<RealType>(3.49087806008685701060e-1), + static_cast<RealType>(5.95568283529034601477e-2), + static_cast<RealType>(6.49386742119035055908e-3), + static_cast<RealType>(4.99721374204563274865e-4), + static_cast<RealType>(2.82348248031305043777e-5), + static_cast<RealType>(1.17436903872210815656e-6), + static_cast<RealType>(3.42841159307801319359e-8), + static_cast<RealType>(6.17382517100568714012e-10), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x); + } + else if (ilogb(x) < 64) { + RealType t = log2(ldexp(x, -32)); + + // Rational Approximation + // Maximum Relative Error: 4.1441e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(6.36619774420718062663e-1), + static_cast<RealType>(2.68594096777677177874e-1), + static_cast<RealType>(5.50713044649497737064e-2), + static_cast<RealType>(7.26574134143434960446e-3), + static_cast<RealType>(6.89173530168387629057e-4), + static_cast<RealType>(4.87688310559244353811e-5), + static_cast<RealType>(2.84218580121660744969e-6), + static_cast<RealType>(9.65240367429172366675e-8), + static_cast<RealType>(5.21722720068664704240e-9), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1), + static_cast<RealType>(4.21906621389193043384e-1), + static_cast<RealType>(8.65058026826346828750e-2), + static_cast<RealType>(1.14129998157398060009e-2), + static_cast<RealType>(1.08255124950652385121e-3), + static_cast<RealType>(7.66059006900869004871e-5), + static_cast<RealType>(4.46449501653114622960e-6), + static_cast<RealType>(1.51619602364037777665e-7), + static_cast<RealType>(8.19520132288940649002e-9), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x); + } + else { + result = 2 / (constants::pi<RealType>() * x); + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_cdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 1) { + // Rational Approximation + // Maximum Relative Error: 2.6472e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.34761298487625202628055609797763667089e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.67589195401255255724121983550745957195e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.07502511824371206858547365520593277966e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.58354381655514028012912292026393699991e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.26470588572701739953294573496059174764e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.09494168186680012705692462031819276746e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.47385718073281027400744626077865581325e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.69107567947502492044754464589464306928e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.39641345689672620514703813504927833352e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.27003930699448633502508661352994055898e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.26124673422692247711088651516214728305e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.92103390710025598612731036700549416611e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.49572523814120679048097861755172556652e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.50719933268462244255954307285373705456e-13), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.05332427324361912631483249892199461926e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.46280417679002004953145547112352398783e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.10429833573651169023447466152999802738e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.63535585818618617796313647799029559407e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24103322502244219003850826414302390557e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.38359438431541204276767900393091886363e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16687583686405832820912406970664239423e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.31451667102532056871497958974899742424e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.31646175307279119467894327494418625431e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.22334681489114534492425036698050444462e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.86326948577818727263376488455223120476e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.53867591038308710930446815360572461884e-7), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 1.2387e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.22133240358047652363270514524313049653e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.35860518549481281929441026718420080571e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.89900189271177970319691370395978805326e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.84682995288088652145572170736339265315e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.10748045562955323875797887939420022326e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.00246325517647746481631710824413702051e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.02998394686245118431020407235000441722e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.06095284318730009040434594746639110387e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.91754425158654496372516241124447726889e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.37288564874584819097890713305968351561e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.77487285800889132325390488044487626942e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.41654614425073025870130302460301244273e-13), + }; + BOOST_MATH_STATIC const RealType Q[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13058739144695658589427075788960660400e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.11792528400843967390452475642793635419e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.28794756779085737559146475126886069030e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.29339015472607099189295465796550367819e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.53434372685847620864540166752049026834e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.17610372643685730837081191600424913542e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.64455304425865128680681864919048610730e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.62357689170951502920019033576939977973e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.89912258835489782923345357128779660633e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.76323449710934127736624596886862488066e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21524231900555452527639738371019517044e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 1.2281e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.95892137955791216377776422765473500279e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.65957634570689820998348206103212047458e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.34657686985192350529330481818991619730e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43985500841002490334046057189458709493e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.09876223028004323158413173719329449720e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.04194660038290410425299531094974709019e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.09780604136364125990393172827373829860e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.02676079027875648517286351062161581740e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.30298199082321832830328345832636435982e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.33633965123855006982811143987691483957e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.46384114966020719170903077536685621119e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.07058773850795175564735754911699285828e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.76765053309825506619419451346428518606e-16), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.89758965744489334954041814073547951925e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.65985298582650601001220682594742473012e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.81017086203232617734714711306180675445e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.14481301672800918591822984940714490526e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.90605450026850685321372623938646722657e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.42447999818015246265718131846902731574e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83426770079526980292392341278413549820e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.65073357441521690641768959521412898756e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.90437453546925074707222505750595530773e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.63458145595422196447107547750737429872e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.94457070577990681786301801930765271001e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.80986568964737305842778359322566801845e-11), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 5.3269e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.73159318667565938775602634998889798568e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.95149372103869634275319490207451722385e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.87504411659823400690797222216564651939e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.94571385159717824767058200278511014560e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.71656210265434934399632978675652106638e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.51248899957476233641240573020681464290e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.74490600490886011190565727721143414249e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.07537323853509621126318424069471060527e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59167561354023258538869598891502822922e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.72608361427131857269675430568328018022e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.54143016370650707528704927655983490119e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.07936446902207128577031566135957311260e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.73506415766100115673754920344659223382e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.66918494546396383814682000746818494148e-21), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34854858486201481385140426291984169791e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.25379978655428608198799717171321453517e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.01905621587554903438286661709763596137e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.31293339647901753103699339801273898688e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.22793491714510746538048140924864505813e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.45360205736839126407568005196865547577e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20918479556021574336548106785887700883e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.91450617548036413606169102407934734864e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.59940586452863361281618661053014404930e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.93918243796178165623395356401173295690e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.14578198844767847381800490360878776998e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.25951924258762195043744665124187621023e-13), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 4.8719e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.90469147411748292410422813492550092930e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.20196598836093298098360769875443462143e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.92579652651763461802771336515384878994e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.50439147419887323351995227585244144060e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.13214742069751393867851080954754449610e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.29648648382394801501422003194522139519e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.80420399625810952886117129805960917210e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.73059844436212109742132138573157222143e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.66835461298243901306176013397428732836e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.61808423521250921041207160217989047728e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.39300098366988229510997966682317724011e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.09447823064238788960158765421669935819e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76962456941948786610101052244821659252e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.56004343709960620209823076030906442732e-25), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.22996422556023111037354479836605618488e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.05244279198013248402385148537421114680e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.72477335169177427114629223821992187549e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.76404568980852320252614006021707040788e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.79959793426748071158513573279263946303e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.93524788220877416643145672816678561612e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.46692111397574773931528693806744007042e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20764040991846422990601664181377937629e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.84452460717254884659858711994943474216e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.30317379590981344496250492107505244036e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.83736710938966780518785861828424593249e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.72943283576264035508862984899450025895e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.77791087299927741360821362607419036797e-18), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 5.3269e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.35157264931262089761621934621402648954e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.51407493866635569361305338029611888082e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30886132894858313459359493329266696766e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.02488735053241778868198537544867092626e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.12676055870976203566712705442945186614e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.14136757304740001515364737551021389293e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01514327671186735593984375829685709678e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63783530594707477852365258482782354261e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.67623013776194044717097141295482922572e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01397549144502050693284434189497148608e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.16720246008161901837639496002941412533e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.70776057051329137176494230292143483874e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.02838174509144355795908173352005717435e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.07343581702278433243268463675468320030e-30), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.13166129191902183515154099741529804400e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.58587877615076239769720197025023333190e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.14619910799508944167306046977187889556e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.66671218029939293563302720748492945618e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.67192565058098643223751044962155343554e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.68397391192695060767615969382391508636e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.94009678375859797198831431154760916459e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.91901267471125881702216121486397689200e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.83697721782125852878533856266722593909e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.65409094893730117412328297801448869154e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.04202174160401885595563150562438901685e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.82104711207466136473754349696286794448e-20), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 1.0937e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.11253031965493064317003259449214452745e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.66886306590939856622089350675801752704e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.77786526684921036345823450504680078696e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20343424607276252128027697088363135591e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.29196073776799916444272401212341853981e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.92132293422644089278551376756604946339e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.07465707745270914645735055945940815947e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.54424785613626844024154493717770471131e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.74829439628215654062512023453584521531e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.03470347880592072854295353687395319489e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21113051919776165865529140783521696702e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.83719812218384126931626509884648891889e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.41009036423458926116066353864843586169e-31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04965807080681693416200699806159303323e-34), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.06133417626680943824361625182288165823e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.87991711814130682492211639336942588926e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.98342969282034680444232201546039059255e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.41940454945139684365514171982891170420e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.90481418770909949109210069475433304086e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.25451856391453896652473393039014954572e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36349120987010174609224867075354225138e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.94716367816033715208164909918572061643e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.67466470065187852967064897686894407151e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31509787633232139845762764472649607555e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.93147765040455324545205202900563337981e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07370974123835247210519262324524537634e-23), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(x) < 8) { + RealType t = log2(ldexp(x, -6)); + + // Rational Approximation + // Maximum Relative Error: 3.1671e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.60754766433212615408805486898847664740e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.76143516602438873568296501921670869526e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.25254763859315398784817302471631188095e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.58650277225655302085863010927524053686e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.92227773746592457803942136197158658110e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.77170481512334811333255898903061802339e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.97864282716826576471164657368231427231e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.44243747123065035356982629201975914275e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.54592817957461998135980337838429682406e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.52110831321633404722419425039513444319e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75030698219998735693228347424295850790e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.08894662488905377548940479566994482806e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11472306961184868827300852021969296872e-12), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04202386226609593823214781180612848612e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.07648212684952405730772649955008739292e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50646784687432427178774105515508540021e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.02521400964223268224629095722841793118e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.35374201758795213489427690294679848997e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.67290684433876221744005507243460683585e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.83834977086311601362115427826807705185e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.43236252790815493406777552261402865674e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17693398496807851224497995174884274919e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.34161978291568722756523120609497435933e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10819003833429876218381886615930538464e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.75674945131892236663189757353419870796e-12), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x); + } + else if (ilogb(x) < 16) { + RealType t = log2(ldexp(x, -8)); + + // Rational Approximation + // Maximum Relative Error: 6.8517e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.44802371584831601817146389426921705500e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.32962058761590152378007743852342151897e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.93461601407042255925193793376118641680e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.55533612685775705468614711945893908392e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76358919439168503100357154639460097607e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.74131615534562303144125602950691629908e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.34470363614899824502654995633001232079e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.29020592733459891982428815398092077306e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.65794017754267756566941255128608603072e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.78550878208007836345763926019855723350e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00524022519953193863682806155339574713e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.75977976583947697667784048133959750133e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.89287460618943500291479647438555099783e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.27647727947590174240069836749437647626e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70582660582766959108625375415057711766e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.68499175244574169768386088971844067765e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.84493774639724473576782806157757824413e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.03526708437207438952843827018631758857e-20), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.88770963972332750838571146142568699263e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.60273143287476497658795203149608758815e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34393017137025732376113353720493995469e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.77086140458900002000076127880391602253e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.30613589576665986239534705717153313682e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.25355055770024448240128702278455001334e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.16820392686312531160900884133254461634e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.17518073757769640772428097588524967431e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.80469112215756035261419102003591533407e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.57898123952200478396366475124854317231e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.47675840885248141425130440389244781221e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.97339213584115778189141444065113447170e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.85845602624148484344802432304264064957e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.67971825826765902713812866354682255811e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.78795543918651402032912195982033010270e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.18166403020940538730241286150437447698e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.47995312365747437038996228794650773820e-20), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x); + } + else if (ilogb(x) < 32) { + RealType t = log2(ldexp(x, -16)); + + // Rational Approximation + // Maximum Relative Error: 6.5315e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.36685748306554972131586673701426039950e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75892450098649456865500477195142009984e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.77167300709199375935767980419262418694e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.76657987434662206916119089733639111866e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.55003354250569146980730594644539195376e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.64102805555049236216024194001407792885e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.36247488122195469059567496833809879653e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63710218182036673197103906176200862606e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.60629446465979003842091012679929186607e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22712292003775206105713577811447961965e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.28539646473359376707298867613704501434e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47893806904387088760579412952474847897e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.86809622035928392542821045232270554753e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.47935154807866802001012566914901169147e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.40623855123515207599160827187101517978e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.60738876249485914019826585865464103800e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29257874466803586327275841282905821499e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.06781616867813418930916928811492801723e-31), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.33391038950576592915531240096703257292e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.06598147816889621749840662500099582486e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21997213397347849640608088189055469954e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18596259982438670449688554459343971428e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.86085649929528605647139297483281849158e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.28178198640304770056854166079598253406e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.57155234493390297220982397633114062827e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.03771216318243964850930846579433365529e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.49837117625052865973189772546210716556e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.87302306206908338457432167186661027909e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.32312467403555290915110093627622951484e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.50516769529388616534895145258103120804e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.03618834064000582669276279973634033592e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.49205787058220657972891114812453768100e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.23730041323226753771240724078738146658e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.60115971929371066362271909482282503973e-23), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x); + } + else if (ilogb(x) < 64) { + RealType t = log2(ldexp(x, -32)); + + // Rational Approximation + // Maximum Relative Error: 1.0538e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.36619774420718062663274858007687066488e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30268560944740805268408378762250557522e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.09208091036436297425427953080968023835e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.74943166696408995577495065480328455423e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.03759498310898586326086395411203400316e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.67261192787197720215143001944093963953e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.42934578939412238889174695091726883834e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.32436794923711934610724023467723195718e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.35077626369701051583611707128788137675e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.40836846523442062397035620402082560833e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.98783806012035285862106614557391807137e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.53869567415427145730376778932236900838e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.76521311340629419738016523643187305675e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41298928566351198899106243930173421965e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85552706372195482059144049293491755419e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.89780987301820615664133438159710338126e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.37965575161090804572561349091024723962e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.58944184323201470938493323680744408698e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.35050162268451658064792430214910233545e-40), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.61705010674524952791495931314010679992e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.42782564900556152436041716057503104160e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.46038982970912591009739894441944631471e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.34223936001873800295785537132905986678e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.19812900355867749521882613003222797586e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.24521111398180921205229795007228494287e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.93429394949368809594897465724934596442e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.69259071867341718986156650672535675726e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16370379759046264903196063336023488714e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.12248872253003553623419554868303473929e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.12936649424676303532477421399492615666e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.37683645610869385656713212194971883914e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21951837982136344238516771475869548147e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.91465509588513270823718962232280739302e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.98107277753797219142748868489983891831e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.16715818685246698314459625236675887448e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.77987471623502330881961633434056523159e-26), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x); + } + else if (ilogb(x) < 128) { + RealType t = log2(ldexp(x, -64)); + + // Rational Approximation + // Maximum Relative Error: 2.2309e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.36619772367581344040890134127619524371e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.72522424358877592972375801826826390634e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.74749058021341871895402838175268752603e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.95136532385982168410320513292144834602e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.10500792867575154180588502397506694341e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.48101840822895419487033057691746982216e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.22577211783918426674527460572438843266e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30499751609793470641331626931224574780e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07043764292750472900578756659402327450e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.28345765853059515246787820662932506931e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48838700086419232178247558529254516870e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.51015062047870581993810118835353083110e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19087584836023628483830612541904830502e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.74405125338538967114280887107628943111e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.34493122865874905104884954420903910585e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.33794243240353561095702650271950891264e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07931799710240978706633227327649731325e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60935135769719557933955672887720342220e-23), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.28077223152164982690351137450174450926e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.02813709168750724641877726632095676090e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24899754437233214579860634420198464016e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27313166830073839667108783881090842820e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01803599095361490387188839658640162684e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.63782732057408167492988043000134055952e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.62068163155799642595981598061154626504e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.68143951757351157612001096085234448512e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.72843955600132743549395255544732133507e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.33795283380674591910584657171640729449e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.08452802793967494363851669977089389376e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.87062340827301546650149031133192913586e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.31034562935470222182311379138749593572e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.39579834094849668082821388907704276985e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46680056726416759571957577951115309094e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.69538874529209016624246362786229032706e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.52796320119313458991885552944744518437e-23), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * x); + } + else { + result = 2 / (constants::pi<RealType>() * x); + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_cdf_minus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x >= -1) { + RealType t = x + 1; + + // Rational Approximation + // Maximum Relative Error: 4.8279e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(9.61609610406317335842e-2), + static_cast<RealType>(3.91836314722738553695e-1), + static_cast<RealType>(6.79862925205625107133e-1), + static_cast<RealType>(6.52516594941817706368e-1), + static_cast<RealType>(3.78594163612581127974e-1), + static_cast<RealType>(1.37741592243008345389e-1), + static_cast<RealType>(3.16100502353317199197e-2), + static_cast<RealType>(3.94935603975622336575e-3), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1), + static_cast<RealType>(1.76863983252615276767e0), + static_cast<RealType>(1.81486018095087241378e0), + static_cast<RealType>(1.17295504548962999723e0), + static_cast<RealType>(5.33998066342362562313e-1), + static_cast<RealType>(1.66508320794082632235e-1), + static_cast<RealType>(3.42192028846565504290e-2), + static_cast<RealType>(3.94691613177524994796e-3), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -2) { + RealType t = x + 2; + + // Rational Approximation + // Maximum Relative Error: 2.3675e-17 + BOOST_MATH_STATIC const RealType P[11] = { + static_cast<RealType>(7.07114056489178077423e-4), + static_cast<RealType>(7.35277969197058909845e-3), + static_cast<RealType>(3.45402694579204809691e-2), + static_cast<RealType>(9.62849773112695332289e-2), + static_cast<RealType>(1.75738736725818007992e-1), + static_cast<RealType>(2.18309266582058485951e-1), + static_cast<RealType>(1.85680388782727289455e-1), + static_cast<RealType>(1.06177394398691169291e-1), + static_cast<RealType>(3.94880388335722224211e-2), + static_cast<RealType>(9.46543177731050647162e-3), + static_cast<RealType>(1.50949646857411896396e-3), + }; + BOOST_MATH_STATIC const RealType Q[11] = { + static_cast<RealType>(1), + static_cast<RealType>(1.19520021153535414164e0), + static_cast<RealType>(2.24057032777744601624e0), + static_cast<RealType>(1.63635577968560162720e0), + static_cast<RealType>(1.58952087228427876880e0), + static_cast<RealType>(7.63062254749311648018e-1), + static_cast<RealType>(4.65805990343825931327e-1), + static_cast<RealType>(1.45821531714775598887e-1), + static_cast<RealType>(5.42393925507104531351e-2), + static_cast<RealType>(9.84276292481407168381e-3), + static_cast<RealType>(1.54787649925009672534e-3), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + const static RealType lambda_bias = static_cast<RealType>(1.45158270528945486473); // (= log(pi/2)+1) + + RealType sigma = exp(-x * constants::pi<RealType>() / 2 - lambda_bias); + RealType s = exp(-sigma) / sqrt(sigma); + + if (x >= -4) { + RealType t = -x - 2; + + // Rational Approximation + // Maximum Relative Error: 6.6532e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(3.71658823632747235572e-1), + static_cast<RealType>(2.81493346318174084721e-1), + static_cast<RealType>(1.80052521696460721846e-1), + static_cast<RealType>(7.65907659636944822120e-2), + static_cast<RealType>(2.33352148213280934280e-2), + static_cast<RealType>(5.02308701022480574067e-3), + static_cast<RealType>(6.29239919421134075502e-4), + static_cast<RealType>(8.36993181707604609065e-6), + static_cast<RealType>(-8.38295154747385945293e-6), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1), + static_cast<RealType>(6.62107509936390708604e-1), + static_cast<RealType>(4.72501892305147483696e-1), + static_cast<RealType>(1.84446743813050604353e-1), + static_cast<RealType>(5.99971792581573339487e-2), + static_cast<RealType>(1.24751029844082800143e-2), + static_cast<RealType>(1.56705297654475773870e-3), + static_cast<RealType>(2.36392472352050487445e-5), + static_cast<RealType>(-2.11667044716450080820e-5), + }; + + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -5.1328125) { + RealType t = -x - 4; + + // Rational Approximation + // Maximum Relative Error: 2.6331e-17 + BOOST_MATH_STATIC const RealType P[10] = { + static_cast<RealType>(3.97500903816385095134e-1), + static_cast<RealType>(5.08559630146730380854e-1), + static_cast<RealType>(2.99190443368166803486e-1), + static_cast<RealType>(1.07339363365158174786e-1), + static_cast<RealType>(2.61694301269384158162e-2), + static_cast<RealType>(4.58386867966451237870e-3), + static_cast<RealType>(5.80610284231484509069e-4), + static_cast<RealType>(5.07249042503156949021e-5), + static_cast<RealType>(2.91644292826084281875e-6), + static_cast<RealType>(9.75453868235609527534e-12), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1), + static_cast<RealType>(1.27376091725485414303e0), + static_cast<RealType>(7.49829208702328578188e-1), + static_cast<RealType>(2.69157374996960976399e-1), + static_cast<RealType>(6.55795320040378662663e-2), + static_cast<RealType>(1.14912646428788757804e-2), + static_cast<RealType>(1.45541420582309879973e-3), + static_cast<RealType>(1.27135040794481871472e-4), + static_cast<RealType>(7.31138551538712031061e-6), + }; + + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + result = 0; + } + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_cdf_minus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x >= -1) { + RealType t = x + 1; + + // Rational Approximation + // Maximum Relative Error: 1.2055e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.61609610406317335842332400044553397267e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.74152295981095898203847178356629061821e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.58642905042588731020840168744866124345e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.69370085525311304330141932309908104187e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.14888713497930800611167630826754270499e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.69123861559106636252620023643265102867e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74273532954853421626852458737661546439e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.73534665976007761924923962996725209700e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.42543389723715037640714282663089570985e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05120903211852044362181935724880384488e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.49586169587615171270941258051088627885e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.46047939521303565932576405363107506886e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.68248726161641913236972878212857788320e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.60663638253775180681171554635861859625e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76463460016745893121574217030494989443e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.08380585744336744543979680558024295296e-12), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.66458574743150749245922924142120646408e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.87010262350733534202724862784081296105e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.51107149980251214963849267707173045433e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.71158207369578457239679595370389431171e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.37188705505573668092513124472448362633e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.95647530096628718695081507038921183627e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30278895428001081342301218278371140110e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.61322060563420594659487640090297303892e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30529729106312748824241317854740876915e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.90465740298431311519387111139787971960e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.92760416706194729215037805873466599319e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.02070496615845146626690561655353212151e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.72080705566714681586449384371609107346e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76433504120625478720883079263866245392e-6), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -2) { + RealType t = x + 2; + + // Rational Approximation + // Maximum Relative Error: 3.4133e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.07114056489178077422539043012078031613e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.18006784954579394004360967455655021959e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.60309646092161147676756546417366564213e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13479499932401667065782086621368143322e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.68587439643060549883916236839613331692e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.12366494749830793876926914920462629077e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70739124754664545339208363069646589169e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.04073482998938337661285862393345731336e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.94833709787596305918524943438549684109e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50214412821697972546222929550410139790e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.43105005523280337071698704765973602884e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.85396789833278250392015217207198739243e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.05690359993570736607428746439280858381e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.17297815188944531843360083791153470475e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.03913601629627587800587620822216769010e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.61963034255210565218722882961703473760e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.99502258440875586452963094474829571000e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.66563884565518965562535171848480872267e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.23954896921292896539048530795544784261e-6), + }; + BOOST_MATH_STATIC const RealType Q[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.77934931846682015134812629288297137499e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.85052416252910403272283619201501701345e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.45276747409453182009917448097687214033e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.87717215449690275562288513806049961791e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96583424263422661540930513525639950307e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.73001838976297286477856104855182595364e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29209801725936746054703603946844929105e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.31809396176316042818100839595926947461e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.62125101720695030847208519302530333864e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22912823173107974750307098204717046200e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.28404310708078592866397210871397836013e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.33433860799478110495440617696667578486e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01779942752411055394079990371203135494e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.60870827161929649807734240735205100749e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.43275518144078080917466090587075581039e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.80287554756375373913082969626543154342e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00697535360590561244468004025972321465e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.23883308105457761862174623664449205327e-6), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + const static RealType lambda_bias = BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.451582705289454864726195229894882143572); // (= log(pi/2)+1) + + RealType sigma = exp(-x * constants::pi<RealType>() / 2 - lambda_bias); + RealType s = exp(-sigma) / sqrt(sigma); + + if (x >= -4) { + RealType t = -x - 2; + + // Rational Approximation + // Maximum Relative Error: 9.2619e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.71658823632747235572391863987803415545e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20402452680758356732340074285765302037e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.53870483364594487885882489517365212394e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.73525449564340671962525942038149851804e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.67339872142847248852186397385576389802e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.60644488744851390946293970736919678433e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33042051950636491987775324999025538357e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.13846819893538329440033115143593487041e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41648498082970622389678372669789346515e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.74006867625631068946791714035394785978e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.12238896415831258936563475509362795783e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.88070293465108791701905953972140154151e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.24813015654516014181209691083399092303e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.64092873079064926551281731026589848877e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.09892207654972883190432072151353819511e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.86990125202059013860642688739159455800e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.62986611607135348214220687891374676368e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07567013469555215514702758084138467446e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.84619752008414239602732630339626773669e-14), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.28669950018285475182750690468224641923e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.12421557061005325313661189943328446480e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.68376064122323574208976258468929505299e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22010354939562426718305463635398985290e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.13795955314742199207524303721722785075e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.90452274425830801819532524004271355513e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.38324283887272345859359008873739301544e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.15232844484261129757743512155821350773e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.79562237779621711674853020864686436450e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.64370777996591099856555782918006739330e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.02327782881305686529414731684464770990e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.27181015755595543140221119020333695667e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01121287947061613072815935956604529157e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44038164966032378909755215752715620878e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.39138685106442954199109662617641745618e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.83317957765031605023198891326325990178e-10), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -6.875) { + RealType t = -x - 4; + + // Rational Approximation + // Maximum Relative Error: 4.9208e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[20] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.97500903816385095134217223320239082420e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.02058997410109156148729828665298333233e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30492992901887465108077581566548743407e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08695332228530157560495896731847709498e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.54469321766529692240388930552986490213e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.00543201281990041935310905273146022998e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08633547932070289660163851972658637916e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.15432691192536747268886307936712580254e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.46179071338871656505293487217938889935e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.45295210106393905833273975344579255175e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.34638105523514101671944454719592801562e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.15786069528793080046638424661219527619e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.54781306296697568446848038567723598851e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.31977279631544580423883461084970429143e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.56616743805004179430469197497030496870e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60913959062328670735884196858280987356e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.91123354712008822789348244888916948822e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.82453513391091361890763400931018529659e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.12671859603774617133607658779709622453e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.03211544596001317143519388487481133891e-20), + }; + BOOST_MATH_STATIC const RealType Q[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.56188463983858614833914386500628633184e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.27273165410457713017446497319550252691e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.72495122287308474449946195751088057230e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.64049710819255633163836824600620426349e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.53329810455612298967902432399110414761e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.72302144446588066369304547920758875106e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.90680157119357595265085115978578965640e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.87039785683949322939618337154059874729e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.64199530594973983893552925652598080310e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.88147828823178863054226159776600116931e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.91569503818223078110818909039307983575e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.89289385694964650198403071737653842880e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.32154679053642509246603754078168127853e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.43239674842248090516375370051832849701e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.03349866320207008385913232167927124115e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.98307302768178927108235662166752511325e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.07996042577029996321821937863373306901e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.53576500935979732855511826033727522138e-13), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + result = 0; + } + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_cdf_imp_prec(const RealType& x, bool complement, const boost::math::integral_constant<int, 53>& tag) { + if (x >= 0) { + return complement ? landau_cdf_plus_imp_prec(x, tag) : 1 - landau_cdf_plus_imp_prec(x, tag); + } + else if (x <= 0) { + return complement ? 1 - landau_cdf_minus_imp_prec(x, tag) : landau_cdf_minus_imp_prec(x, tag); + } + else { + return boost::math::numeric_limits<RealType>::quiet_NaN(); + } +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_cdf_imp_prec(const RealType& x, bool complement, const boost::math::integral_constant<int, 113>& tag) { + if (x >= 0) { + return complement ? landau_cdf_plus_imp_prec(x, tag) : 1 - landau_cdf_plus_imp_prec(x, tag); + } + else if (x <= 0) { + return complement ? 1 - landau_cdf_minus_imp_prec(x, tag) : landau_cdf_minus_imp_prec(x, tag); + } + else { + return boost::math::numeric_limits<RealType>::quiet_NaN(); + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType landau_cdf_imp(const landau_distribution<RealType, Policy>& dist, const RealType& x, bool complement) { + // + // This calculates the cdf of the Landau distribution and/or its complement. + // + + BOOST_MATH_STD_USING // for ADL of std functions + constexpr auto function = "boost::math::cdf(landau<%1%>&, %1%)"; + RealType result = 0; + RealType location = dist.location(); + RealType scale = dist.scale(); + RealType bias = dist.bias(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + if (false == detail::check_x(function, x, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Landau distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + RealType u = (x - location) / scale + bias; + + result = landau_cdf_imp_prec(u, complement, tag_type()); + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_quantile_lower_imp_prec(const RealType& p, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (p >= 0.375) { + RealType t = p - static_cast < RealType>(0.375); + + // Rational Approximation + // Maximum Absolute Error: 3.0596e-17 + BOOST_MATH_STATIC const RealType P[6] = { + static_cast<RealType>(3.74557416577759554506e-2), + static_cast<RealType>(3.87808262376545756299e0), + static_cast<RealType>(4.03092288183382979104e0), + static_cast<RealType>(-1.65221829710249468257e1), + static_cast<RealType>(-6.99689838230114367276e0), + static_cast<RealType>(1.51123479911771488314e1), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(4.37863773851525662884e-1), + static_cast<RealType>(-6.35020262707816744534e0), + static_cast<RealType>(3.07646508389502660442e-1), + static_cast<RealType>(9.72566583784248877260e0), + static_cast<RealType>(-2.72338088170674280735e0), + static_cast<RealType>(-1.58608957980133006476e0), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.25) { + RealType t = p - static_cast < RealType>(0.25); + + // Rational Approximation + // Maximum Absolute Error: 5.2780e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(-4.17764764050720190117e-1), + static_cast<RealType>(1.27887601021900963655e0), + static_cast<RealType>(1.80329928265996817279e1), + static_cast<RealType>(2.35783605878556791719e1), + static_cast<RealType>(-2.67160590411398800149e1), + static_cast<RealType>(-2.36192101013335692266e1), + static_cast<RealType>(8.30396110938939237358e0), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1), + static_cast<RealType>(5.37459525158081633669e0), + static_cast<RealType>(2.35696607501498012129e0), + static_cast<RealType>(-1.71117034150268575909e1), + static_cast<RealType>(-6.72278235529877170403e0), + static_cast<RealType>(1.27763043804603299034e1), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.125) { + RealType t = p - static_cast < RealType>(0.125); + + // Rational Approximation + // Maximum Absolute Error: 6.3254e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-8.77109518013577785811e-1), + static_cast<RealType>(-1.03442936529923615496e1), + static_cast<RealType>(-1.03389868296950570121e1), + static_cast<RealType>(2.01575691867458616553e2), + static_cast<RealType>(4.59115079925618829199e2), + static_cast<RealType>(-3.38676271744958577802e2), + static_cast<RealType>(-5.38213647878547918506e2), + static_cast<RealType>(1.99214574934960143349e2), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(1.64177607733998839003e1), + static_cast<RealType>(8.10042194014991761178e1), + static_cast<RealType>(7.61952772645589839171e1), + static_cast<RealType>(-2.52698871224510918595e2), + static_cast<RealType>(-1.95365983250723202416e2), + static_cast<RealType>(2.61928845964255538379e2), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -4) { + RealType t = -log2(ldexp(p, 3)); + + // Rational Approximation + // Maximum Relative Error: 3.5192e-18 + BOOST_MATH_STATIC const RealType P[6] = { + static_cast<RealType>(-8.77109518013577852585e-1), + static_cast<RealType>(-1.08703720146608358678e0), + static_cast<RealType>(-4.34198537684719253325e-1), + static_cast<RealType>(-6.97264194535092564620e-2), + static_cast<RealType>(-4.20721933993302797971e-3), + static_cast<RealType>(-6.27420063107527426396e-5), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1), + static_cast<RealType>(8.38688797993971740640e-1), + static_cast<RealType>(2.47558526682310722526e-1), + static_cast<RealType>(3.03952783355954712472e-2), + static_cast<RealType>(1.39226078796010665644e-3), + static_cast<RealType>(1.43993679246435688244e-5), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -8) { + RealType t = -log2(ldexp(p, 4)); + + // Rational Approximation + // Maximum Relative Error: 1.1196e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-1.16727296241754548410e0), + static_cast<RealType>(-1.12325365855062172009e0), + static_cast<RealType>(-3.96403456954867129566e-1), + static_cast<RealType>(-6.50024588048629862189e-2), + static_cast<RealType>(-5.08582387678609504048e-3), + static_cast<RealType>(-1.71657051345258316598e-4), + static_cast<RealType>(-1.81536405273085024830e-6), + static_cast<RealType>(-9.65262938333207656548e-10), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(7.55271574611337871389e-1), + static_cast<RealType>(2.16323131117540100488e-1), + static_cast<RealType>(2.92693206540519768049e-2), + static_cast<RealType>(1.89396907936678571916e-3), + static_cast<RealType>(5.20017914327360594265e-5), + static_cast<RealType>(4.18896774212993675707e-7), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -16) { + RealType t = -log2(ldexp(p, 8)); + + // Rational Approximation + // Maximum Relative Error: 1.0763e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-1.78348038398799868409e0), + static_cast<RealType>(-7.74779087785346936524e-1), + static_cast<RealType>(-1.27121601027522656374e-1), + static_cast<RealType>(-9.86675785835385622362e-3), + static_cast<RealType>(-3.69510132425310943600e-4), + static_cast<RealType>(-6.00811940375633438805e-6), + static_cast<RealType>(-3.06397799506512676163e-8), + static_cast<RealType>(-7.34821360521886161256e-12), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(3.76606062137668223823e-1), + static_cast<RealType>(5.37821995022686641494e-2), + static_cast<RealType>(3.62736078766811383733e-3), + static_cast<RealType>(1.16954398984720362997e-4), + static_cast<RealType>(1.59917906784160311385e-6), + static_cast<RealType>(6.41144889614705503307e-9), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -32) { + RealType t = -log2(ldexp(p, 16)); + + // Rational Approximation + // Maximum Relative Error: 9.9936e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-2.32474749499506229415e0), + static_cast<RealType>(-4.81681429397597263092e-1), + static_cast<RealType>(-3.79696253130015182335e-2), + static_cast<RealType>(-1.42328672650093755545e-3), + static_cast<RealType>(-2.58335052925986849305e-5), + static_cast<RealType>(-2.03945574260603170161e-7), + static_cast<RealType>(-5.04229972664978604816e-10), + static_cast<RealType>(-5.49506755992282162712e-14), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(1.87186049570056737301e-1), + static_cast<RealType>(1.32852903862611979806e-2), + static_cast<RealType>(4.45262195863310928309e-4), + static_cast<RealType>(7.13306978839226580931e-6), + static_cast<RealType>(4.84555343060572391776e-8), + static_cast<RealType>(9.65086092007764297450e-11), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -64) { + RealType t = -log2(ldexp(p, 32)); + + // Rational Approximation + // Maximum Relative Error: 9.2449e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-2.82318656228158372998e0), + static_cast<RealType>(-2.84346379198027589453e-1), + static_cast<RealType>(-1.09194719815749710073e-2), + static_cast<RealType>(-1.99728160102967185378e-4), + static_cast<RealType>(-1.77069359938827653381e-6), + static_cast<RealType>(-6.82828539186572955883e-9), + static_cast<RealType>(-8.22634582905944543176e-12), + static_cast<RealType>(-4.10585514777842307175e-16), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(9.29910333991046040738e-2), + static_cast<RealType>(3.27860300729204691815e-3), + static_cast<RealType>(5.45852206475929614010e-5), + static_cast<RealType>(4.34395271645812189497e-7), + static_cast<RealType>(1.46600782366946777467e-9), + static_cast<RealType>(1.45083131237841500574e-12), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -128) { + RealType t = -log2(ldexp(p, 64)); + + // Rational Approximation + // Maximum Relative Error: 8.6453e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-3.29700011190686231229e0), + static_cast<RealType>(-1.62920309130909343601e-1), + static_cast<RealType>(-3.07152472866757852259e-3), + static_cast<RealType>(-2.75922040607620211449e-5), + static_cast<RealType>(-1.20144242264703283024e-7), + static_cast<RealType>(-2.27410079849018964454e-10), + static_cast<RealType>(-1.34109445298156050256e-13), + static_cast<RealType>(-3.08843378675512185582e-18), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(4.62324092774919223927e-2), + static_cast<RealType>(8.10410923007867515072e-4), + static_cast<RealType>(6.70843016241177926470e-6), + static_cast<RealType>(2.65459014339231700938e-8), + static_cast<RealType>(4.45531791525831169724e-11), + static_cast<RealType>(2.19324401673412172456e-14), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -256) { + RealType t = -log2(ldexp(p, 128)); + + // Rational Approximation + // Maximum Relative Error: 8.2028e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-3.75666995985336008568e0), + static_cast<RealType>(-9.15751436135409108392e-2), + static_cast<RealType>(-8.51745858385908954959e-4), + static_cast<RealType>(-3.77453552696508401182e-6), + static_cast<RealType>(-8.10504146884381804474e-9), + static_cast<RealType>(-7.55871397276946580837e-12), + static_cast<RealType>(-2.19023097542770265117e-15), + static_cast<RealType>(-2.34270094396556916060e-20), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(2.30119177073875808729e-2), + static_cast<RealType>(2.00787377759037971795e-4), + static_cast<RealType>(8.27382543511838001513e-7), + static_cast<RealType>(1.62997898759733931959e-9), + static_cast<RealType>(1.36215810410261098317e-12), + static_cast<RealType>(3.33957268115953023683e-16), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -512) { + RealType t = -log2(ldexp(p, 256)); + + // Rational Approximation + // Maximum Relative Error: 7.8900e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-4.20826069989721597050e0), + static_cast<RealType>(-5.07864788729928381957e-2), + static_cast<RealType>(-2.33825872475869133650e-4), + static_cast<RealType>(-5.12795917403072758309e-7), + static_cast<RealType>(-5.44657955194364350768e-10), + static_cast<RealType>(-2.51001805474510910538e-13), + static_cast<RealType>(-3.58448226638949307172e-17), + static_cast<RealType>(-1.79092368272097571876e-22), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(1.14671758705641048135e-2), + static_cast<RealType>(4.98614103841229871806e-5), + static_cast<RealType>(1.02397186002860292625e-7), + static_cast<RealType>(1.00544286633906421384e-10), + static_cast<RealType>(4.18843275058038084849e-14), + static_cast<RealType>(5.11960642868907665857e-18), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -1024) { + RealType t = -log2(ldexp(p, 512)); + + // Rational Approximation + // Maximum Relative Error: 7.6777e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-4.65527239540648658214e0), + static_cast<RealType>(-2.78834161568280967534e-2), + static_cast<RealType>(-6.37014695368461940922e-5), + static_cast<RealType>(-6.92971221299243529202e-8), + static_cast<RealType>(-3.64900562915285147191e-11), + static_cast<RealType>(-8.32868843440595945586e-15), + static_cast<RealType>(-5.87602374631705229119e-19), + static_cast<RealType>(-1.37812578498484605190e-24), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(5.72000087046224585566e-3), + static_cast<RealType>(1.24068329655043560901e-5), + static_cast<RealType>(1.27105410419102416943e-8), + static_cast<RealType>(6.22649556008196699310e-12), + static_cast<RealType>(1.29416254332222127404e-15), + static_cast<RealType>(7.89365027125866583275e-20), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else{ + result = -boost::math::numeric_limits<RealType>::infinity(); + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_quantile_lower_imp_prec(const RealType& p, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (p >= 0.375) { + RealType t = p - 0.375; + + // Rational Approximation + // Maximum Absolute Error: 2.5723e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.74557416577759248536854968412794870581e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.04379368253541440583870397314012269006e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.12622841210720956864564105821904588447e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.57744422491408570970393103737579322242e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.13509711945094517370264490591904074504e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.18322789179144512109337184576079775889e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21447613719864832622177316196592738866e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.49076304733407444404640803736504398642e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.96654951892056950374719952752959986017e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.73083458872938872583408218098970368331e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.22584946471889320670122404162385347867e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.98534922151507267157370682137856253991e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.09159286510191893522643172277831735606e0), + }; + BOOST_MATH_STATIC const RealType Q[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.86204686129323171601167115178777357431e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.43698274248278918649234376575855135232e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.75240332521434608696943994815649748669e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.31438891446345558658756610288653829009e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10716029191240549289948990305434475528e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.10878330779477313404660683539265890549e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.52360069933886703736010179403700697679e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.15864312939821257811853678185928982258e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.10341116017481903631605786613604619909e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29121822170912306719250697890270750964e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.56489746112937744052098794310386515793e1), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.25) { + RealType t = p - 0.25; + + // Rational Approximation + // Maximum Absolute Error: 6.1583e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.17764764050720242897742634974454113395e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.80044093802431965072543552425830082205e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.23613318632011593171919848575560968064e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.77438013844838858458786448973516177604e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.62569530523012138862025718052954558264e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.02005706260864894793795986187582916504e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.29383609355165614630538852833671831839e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.09367754001841471839736367284852087164e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.45744413840415901080013900562654222567e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.41920296534143581978760545125050148256e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.94857580745127596732818606388347624241e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.02847586753967876900858299686189155164e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.29953583375818707785500963989580066735e1), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27455303165341271216882778791555788609e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.41762124591820618604790027888328605963e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.30845760165840203715852751405553821601e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.00827370048057599908445731563638383351e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.19621193929561206904250173267823637982e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.10514757798726932158537558200005910184e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.79738493761540403010052092523396617472e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.94101664430520833603032182296078344870e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.31586575577250608890806988616823861649e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.93650751613703379272667745729529916084e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.52472388998113562780767055981852228229e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.01428305018551686265238906201345171425e0), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.125) { + RealType t = p - 0.125; + + // Rational Approximation + // Maximum Absolute Error: 1.3135e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.77109518013577849065583862782160121458e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.05813204052660740589813216397258899528e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.19628607167020425528944673039894592264e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.67162644860799051148361885190022738759e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.05921446080443979618622123764941760355e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.26685085062411656483492973256809500654e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.17117538916032273474332064444853786788e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.45059470468014721314631799845029715639e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.28952226224720891553119529857430570919e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.98502296814963504284919407719496390478e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.10876326351879104392865586365509749012e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.70358021544406445036220918341411271912e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.49724346845064961378591039928633169443e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.23815021378788622035604969476085727123e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.17262073948257994617723369387261569086e4), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.94901665980514882602824575757494472790e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.54328910175180674300123471690771017388e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.84847502738788846487698327848593567941e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.98451502799612368808473649408471338893e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.13744760159877712051088928513298431905e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.20745061658519699732567732006176366700e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.68622317228909264645937229979147883985e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.96020751551679746882793283955926871655e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.88860541272346724142574740580038834720e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.73454107207588310809238143625482857512e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.23165643368613191971938741926948857263e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.94832163019509140191456686231012184524e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.26616234097287315007047356261933409072e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24686019847093806280148917466062407447e4), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -4) { + RealType t = -log2(ldexp(p, 3)); + + // Rational Approximation + // Maximum Relative Error: 2.0498e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[11] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.77109518013577849065583862782160155093e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.77585398076895266354686007069850894777e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.47522378123968853907102309276280187353e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.63343576432650242131602396758195296288e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.77801189859227220359806456829683498508e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.93221663334563259732178473649683953515e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.95272757466323942599253855146019408376e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.73624853556509653351605530630788087166e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.41317699770351712612969089634227647374e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.34187895701093934279414993393750297714e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.64090928155753225614302094820737249510e-10), + }; + BOOST_MATH_STATIC const RealType Q[11] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.62401464973350962823995096121206419019e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11979822811128264831341485706314465894e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.27257342406829987209876262928379300361e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.85505879705365729768944032174855501091e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.40983451000610516082352700421098499905e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.23459897865681009685618192649929504121e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.28925214684463186484928824536992032740e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.67647262682850294124662856194944728023e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.88173142080572819772032615169461689904e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.07756799117728455728056041053803769069e-11), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -8) { + RealType t = -log2(ldexp(p, 4)); + + // Rational Approximation + // Maximum Relative Error: 6.7643e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.16727296241754547290632950718657117630e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.97822895738734630842909028778257589627e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.45580723831325060656664869189975355503e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.13835678647158936819843386298690513648e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.64536831064884519168892017327822018961e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.93786616484143556451247457584976578832e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.55770899078184683328915310751857391073e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.91778173446401005072425460365992356304e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.59064619930808759325013814591048817325e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.54786673836080683521554567617693797315e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.15917340396537949894051711038346411232e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.29633344043292285568750868731529586549e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.27785620133198676852587951604694784533e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.89999814745618370028655821500875451178e-16), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48772690114094395052120751771215809418e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.72281013057830222881716429522080327421e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.67186370229687087768391373818683340542e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.86988148601521223503040043124617333773e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43321724586909919175166704060749343677e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.57428821868404424742036582321713763151e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17165774858274087452172407067668213010e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.78674439389954997342198692571336875222e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.82045374895858670592647375231115294575e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.40152058277291349447734231472872126483e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.34789603687129472952627586273206671442e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.38087376350052845654180435966624948994e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34945081364333330292720602508979680233e-16), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -16) { + RealType t = -log2(ldexp(p, 8)); + + // Rational Approximation + // Maximum Relative Error: 6.4987e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.78348038398799867332294266481364810762e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.42913983922316889357725662957488617770e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.02077376277824482097703213549730657663e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.01799479940825547859103232846394236067e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.31954083060883245879038709103320778401e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.14437110578260816704498035546280169833e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.75434713435598124790021625988306358726e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.70722283097111675839403787383067403199e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.22792548204908895458622068271940298849e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.23652632092726261134927067083229843867e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.26848751206698811476021875382152874517e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.96683933776920842966962054618493551480e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.65547426464916480144982028081303670013e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.01788104318587272115031165074724363239e-19), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.43507070588695242714872431565299762416e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.42808541175677232789532731946043918868e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.58154336417481327293949514291626832622e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.52883128062761272825364005132296437324e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.46220303655089035098911370014929809787e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.44776253795594076489612438705019750179e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.09607872267766585503592561222987444825e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.24270418154050297788150584301311027023e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.52138350835458198482199500102799185922e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.28330565098807415367837423320898722351e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.61220858078610415609826514581165467762e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.31680570822471881148008283775281806658e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.61638868324981393463928986484698110415e-20), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -32) { + RealType t = -log2(ldexp(p, 16)); + + // Rational Approximation + // Maximum Relative Error: 6.4643e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.32474749499506228416012679106564727824e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.11125026189437033131539969177846635890e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.56906722402983201196890012041528422765e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.56242546565817333757522889497509484980e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.96189353402888611791301502740835972176e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.25518459970705638772495930203869523701e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.23831474024265607073689937590604367113e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.44925744847701733694636991148083680863e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.22891322042392818013643347840386719351e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.72860750698838897533843164259437533533e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.38276123679972197567738586890856461530e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.75010927807240165715236750369730131837e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.39435252454410259267870094713230289131e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.32672767938414655620839066142834241506e-23), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.71913035066927544877255131988977106466e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.07499674325721771035402891723823952963e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.73304002376509252638426379643927595435e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.45986195188119302051678426047947808068e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39631771214004792103186529415117786213e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.82972151546053891838685817022915476363e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.11484161875982352879422494936862579004e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.76886416872139526041488219568768973343e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.88160764330501845206576873052377420740e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.20653899535657202009579871085255085820e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.86752135706343102514753706859178940399e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.08670633989984379551412930443791478495e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96869107941293302786688580824755244599e-24), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -64) { + RealType t = -log2(ldexp(p, 32)); + + // Rational Approximation + // Maximum Relative Error: 6.2783e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.82318656228158372073367735499501003484e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.46261040951642110189344545942990712460e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.64741560190892266676648641695426188913e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.28753551974093682831398870653055328683e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.21312013770915263838500863217194379134e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.52436958859473873340733176333088176566e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.19550238139736009251193868269757013675e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.14964971787780037500173882363122301527e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.40304301938210548254468386306034204388e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.86982233973109416660769999752508002999e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.47229710624085810190563630948355644978e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.97511060097659395674010001155696382091e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.14321784268659603072523892366718901165e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.69804409248161357472540739283978368871e-27), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85763741109198600677877934140774914793e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.51555423561034635648725665049090572375e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.14334282485948451530639961260946534734e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.15303265564789411158928907568898290494e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.33945229806307308687045028827126348382e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.94373901322371782367428404051188999662e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.51420073260465851038482922686870398511e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.39366317896256472225488167609473929757e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32986474655329330922243678847674164814e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.09408217872473269288530036223761068322e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.79051953285476930547217173280519421410e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.94530899348454778842122895096072361105e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.36452993460830805591166007621343447892e-28), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -128) { + RealType t = -log2(ldexp(p, 64)); + + // Rational Approximation + // Maximum Relative Error: 6.0123e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.29700011190686230364493911161520668302e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.16175031776740080906111179721128106011e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.33343982195432985864570319341790342784e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.25414682801788504282484273374052405406e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.08812659343240279665150323243172015853e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.33251452861660571881208437468957953698e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.80894766863868081020089830941243893253e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.84955155823472122347227298177346716657e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.98637322645260158088125181176106901234e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.24174383760514163336627039277792172744e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.54369979866464292009398761404242103210e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.02572051048819721089874338860693952304e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.93656169061287808919601714139458074543e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.14930159772574816086864316805656403181e-31), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.27154900915819978649344191118112870943e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.77527908332591966425460814882436207182e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.88097249712649070373643439940164263005e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33593973311650359460519742789132084170e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34383186845963127931313004467487408932e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.18631088001587612168708294926967112654e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.25338215226314856456799568077385137286e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30644713290591280849926388043887647219e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.55508263112797212356530850090635211577e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.96694528841324480583957017533192805939e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.81411886190142822899424539396403206677e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.64683991040772975824276994623053932566e-28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.81924597500766743545654858597960153152e-32), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -256) { + RealType t = -log2(ldexp(p, 128)); + + // Rational Approximation + // Maximum Relative Error: 5.7624e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.75666995985336007747791649448887723610e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.78960399079208663111712385988217075907e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.74942252057371678208959612011771010491e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.54567765510065203543937772001248399869e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.53093894540157655856029322335609764674e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.83833601054721321664219768559444646069e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.52281007055180941965172296953524749452e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.57322728543196345563534040700366511864e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.52881564741260266060082523971278782893e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.60440334652864372786302383583725866608e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.60691285483339296337794569661545125426e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.29567560587442907936295101146377006338e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.50976593324256906782731237116487284834e-31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.71308835356954147218854223581309967814e-35), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.62732785401286024270119905692156750540e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.40382961238668912455720345718267045656e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10406445824749289380797744206585266357e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.28896702052362503156922190248503561966e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.16141168910009886089186579048301366151e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41978644147717141591105056152782456952e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.28101353275172857831967521183323237520e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.02996252940600644617348281599332256544e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.91006255647885778937252519693385130907e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.84585864559619959844425689120130028450e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.68573963627097356380969264657086640713e-28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11059307697054035905630311480256015939e-31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.36363494270701950295678466437393953964e-36), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -512) { + RealType t = -log2(ldexp(p, 256)); + + // Rational Approximation + // Maximum Relative Error: 5.5621e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.20826069989721596260510558511263035942e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.97440158261228371765435988840257904642e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.03971528248920108158059927256206438162e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.27123766722395421727031536104546382045e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.42341191105097202061646583288627536471e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.27644514375284202188806395834379509517e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.10772944192965679212172315655880689287e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.32875098791800400229370712119075696952e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.06204614360238210805757647764525929969e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.43745006810807466452260414216858795476e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.66712970893511330059273629445122037896e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.72840198778128683137250377883245540424e-30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.91906782399731224228792112460580813901e-34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.42769091263044979075875010403899574987e-39), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.31008507886426704374911618340654350029e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.34370110384866123378972324145883460422e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.37370811166006065198348108499624387519e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.14880753458828334658200185014547794333e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29049942195929206183214601044522500821e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19814793427532184357255406261941946071e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.53609759199568827596069048758012402352e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.94113467521833827559558236675876398395e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.46066673213431758610437384053309779874e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.73781952388557106045597803110890418919e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.17225106466605017267996611448679124342e-31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.66384334839761400228111118435077786644e-35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.02877806111195383689496741738320318348e-40), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -1024) { + RealType t = -log2(ldexp(p, 512)); + + // Rational Approximation + // Maximum Relative Error: 5.4128e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.65527239540648657446629479052874029563e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.49609214609793557370425343404734771058e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.85355312961840000203681352424632999367e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.57243631623079865238801420669247289633e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.64978384343879316016184643597712973486e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.12776782513387823319217102727637716531e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.86985041780323969283076332449881856202e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.11665149267826038417038582618446201377e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.44259259232002496618805591961855219612e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.13186466395317710362065595347401054176e-25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.72627240737786709568584848420972570566e-29), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.40450635670659803069555960816203368299e-33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.90550919589933206991152832258558972394e-38), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.33785768143117121220383154455316199086e-43), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15365252334339030944695314405853064901e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.84519641047962864523571386561993045416e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71097850431873211384168229175171958023e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.20268329795802836663630276028274915013e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.00891848515558877833795613956071967566e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.41031229424613259381704686657785733606e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96506914235910190020798805190634423572e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.51190756655665636680121123277286815188e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.82855686000721415124702578998188630945e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.64298533757673219241102013167519737553e-30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.01176104624443909516274664414542493718e-34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.41571947895162847564926590304679876888e-39), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.84682590163505511580949151048092123923e-44), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -2048) { + RealType t = -log2(ldexp(p, 1024)); + + // Rational Approximation + // Maximum Relative Error: 5.3064e-35 + //LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.09971143249822249471944441552701756051e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.00154235169065403254826962372636417554e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.76859552294270710004718457715250134998e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.16331901379268792872208226779641113312e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.11590258438815173520561213981966313758e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.17278804462968109983985217400233347654e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.14112976645884560534267524918610371127e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.34652102658577790471066054415469309178e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.85242987373551062800089607781071064493e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.35051904844102317261572436130886083833e-28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.78478298776769981726834169566536801689e-32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.22532973433435489030532261530565473605e-37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.25433604872532935232490414753194993235e-41), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.49792182967344082832448065912949074241e-47), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.76316274347013095030195725596822418859e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.45872499993438633169552184478587544165e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13309566903496793786045158442686362533e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.99468690853840997883815075627545315449e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24734617022827960185483615293575601906e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.30099852343633243897084627428924039959e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52598626985708878790452436052924637029e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.91432956461466900007096548587800675801e-25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.54421383015859327468201269268335476713e-29), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.55939743284103455997584863292829252782e-33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.73331214275752923691778067125447148395e-38), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.55089353084326800338273098565932598679e-42), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.85408276119483460035366338145310798737e-48), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -4096) { + RealType t = -log2(ldexp(p, 2048)); + + // Rational Approximation + // Maximum Relative Error: 5.2337e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.54271778755494231572464179212263718102e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.62737121212473668543011440432166267791e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.10099492629239750693134803100262740506e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.56925359477960645026399648793960646858e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.50756287005636861300081510456668184335e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.40657453971177017986596834420774251809e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.25518001919157628924245515302669097090e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.79618511101781942757791021761865762100e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.70242241511341924787722778791482800736e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.87078860748428154402226644449936091766e-31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.84256560347986567120140826597805016470e-35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.71419536977123330712095123316879755172e-40), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.20746149769511232987820552765701234564e-45), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.97544543671003989410397788518265345930e-51), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.87980995989632171985079518382705421728e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.64234691529227024725728122489224211774e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.66149363392892604040036997518509803848e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24365427902918684575287447585802611012e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.88619663977804926166359181945671853793e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.25299846770395565237726328268659386749e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18720305257346902130922082357712771134e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.13302092710568005396855019882472656722e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.88571994886818976015465466797965950164e-32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.48486836614948668196092864992423643733e-36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.72247229252387482782783442901266890088e-41), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.76046592638280288324495546006105696670e-46), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.09378739037162732758860377477607829024e-52), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -8192) { + RealType t = -log2(ldexp(p, 4096)); + + // Rational Approximation + // Maximum Relative Error: 5.1864e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.98493298246627952401490656857159302716e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.76990949843357898517869703626917264559e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.65042794324685841303461715489845834903e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.10605446678026983843303253925148000808e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.02762962429283889606329831562937730874e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.04105882385534634676234513866095562877e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.76001901462155366759952792570076976049e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.48255362964603267691139956218580946011e-25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.19422119466925125740484046268759113569e-29), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.00719439924828639148906078835399693640e-33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.89921842231783558951433534621837291030e-38), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.90738353848476619269054038082927243972e-43), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.19893980415902021846066305054394089887e-49), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.85434486590981105149494168639321627061e-55), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43932168599456260558411716919165161381e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.09851997458503734167541584552305867433e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.32285843258966417340522520711168738158e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.76041266755635729156773747720864677283e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21202253509959946958614664659473305613e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.28647335562574024550800155417747339700e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.24953333571478743858014647649207040423e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.41206199962423704137133875822618501173e-30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34018702380092542910629787632780530080e-34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.41732943566503750356718429150708698018e-39), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29626943299239081309470153019011607254e-44), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.13947437500822384369637881437951570653e-50), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.61766557173110449434575883392084129710e-56), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -16384) { + RealType t = -log2(ldexp(p, 8192)); + + // Rational Approximation + // Maximum Relative Error: 5.1568e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.42671464308364892089984144203590292562e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.70165333325375920690660683988390032004e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.51230594210711745541592189387307516997e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.81387249912672866168782835177116953008e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.35308063526816559199325906123032162155e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.67672500455361049516022171111707553191e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.45533142942305626136621399056034449775e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.37422341389432268402917477004312957781e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.32123176403616347106899307416474970831e-31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.07816837508332884935917946618577512264e-36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.95418937882563343895280651308376855123e-41), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.78256110112636303941842779721479313701e-47), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.09423327107440352766843873264503717048e-52), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.12386630925835960782702757402676887380e-58), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.19477412398085422408065302795208098500e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.27347517804649548179786994390985841531e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.15042399607786347684366638940822746311e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.84537882580411074097888848210083177973e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.78283331111405789359863743531858801963e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.00711555012725961640684514298170252743e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.21370151454170604715234671414141850094e-28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.72008007024350635082914256163415892454e-32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.61182095564217124712889821368695320635e-37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.35498047010165964231841033788823033461e-42), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11828030216193307885831734256233140264e-47), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22499308298315468568520585583666049073e-53), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04877018522402283597555167651619229959e-59), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + result = -boost::math::numeric_limits<RealType>::infinity(); + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_quantile_upper_imp_prec(const RealType& p, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (p >= 0.375) { + RealType t = p - static_cast < RealType>(0.375); + + // Rational Approximation + // Maximum Relative Error: 5.1286e-20 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(1.31348919222343858178e0), + static_cast<RealType>(-1.06646675961352786791e0), + static_cast<RealType>(-1.80946160022120488884e1), + static_cast<RealType>(-1.53457017598330440033e0), + static_cast<RealType>(4.71260102173048370028e1), + static_cast<RealType>(4.61048467818771410732e0), + static_cast<RealType>(-2.80957284947853532418e1), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1), + static_cast<RealType>(4.71007453129016317772e0), + static_cast<RealType>(1.31946404969596908872e0), + static_cast<RealType>(-1.70321827414586880227e1), + static_cast<RealType>(-1.11253495615474018666e1), + static_cast<RealType>(1.62659086449959446986e1), + static_cast<RealType>(7.37109203295032098763e0), + static_cast<RealType>(-2.43898047338699777337e0), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.25) { + RealType t = p - static_cast < RealType>(0.25); + + // Rational Approximation + // Maximum Relative Error: 3.4934e-18 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(2.55081568282045924981e0), + static_cast<RealType>(5.38750533719526696218e0), + static_cast<RealType>(-2.32797421725187349036e1), + static_cast<RealType>(-3.96043566411306749784e1), + static_cast<RealType>(3.80609941977115436545e1), + static_cast<RealType>(3.35014421131920266346e1), + static_cast<RealType>(-1.17490458743273503838e1), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(7.52439409918350484765e0), + static_cast<RealType>(1.34784954182866689668e1), + static_cast<RealType>(-9.21002543625052363446e0), + static_cast<RealType>(-2.67378141317474265949e1), + static_cast<RealType>(2.10158795079902783094e0), + static_cast<RealType>(5.90098096212203282798e0), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.125) { + RealType t = p - static_cast < RealType>(0.125); + + // Rational Approximation + // Maximum Relative Error: 4.0795e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(5.68160868054034111703e0), + static_cast<RealType>(1.06098927525586705381e2), + static_cast<RealType>(5.74509518025029027944e2), + static_cast<RealType>(4.91117375866809056969e2), + static_cast<RealType>(-2.92607000654635606895e3), + static_cast<RealType>(-3.82912009541683403499e3), + static_cast<RealType>(2.49195208452006100935e3), + static_cast<RealType>(1.29413301335116683836e3), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1), + static_cast<RealType>(2.69603865809599480308e1), + static_cast<RealType>(2.63378422475372461819e2), + static_cast<RealType>(1.09903493506098212946e3), + static_cast<RealType>(1.60315072092792425370e3), + static_cast<RealType>(-5.44710468198458322870e2), + static_cast<RealType>(-1.76410218726878681387e3), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -4) { + RealType t = -log2(ldexp(p, 3)); + + // Rational Approximation + // Maximum Relative Error: 4.4618e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(7.10201085067542566037e-1), + static_cast<RealType>(6.70042401812679849451e-1), + static_cast<RealType>(2.42799404088685074098e-1), + static_cast<RealType>(4.80613880364042262227e-2), + static_cast<RealType>(6.04473313360581797461e-3), + static_cast<RealType>(5.09172911021654842046e-4), + static_cast<RealType>(-6.63145317984529265677e-6), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1), + static_cast<RealType>(9.18649629646213969612e-1), + static_cast<RealType>(3.66343989541898286306e-1), + static_cast<RealType>(8.01010534748206001446e-2), + static_cast<RealType>(1.00553335007168823115e-2), + static_cast<RealType>(6.30966763237332075752e-4), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * p); + } + else if (ilogb(p) >= -8) { + RealType t = -log2(ldexp(p, 4)); + + // Rational Approximation + // Maximum Relative Error: 5.8994e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(7.06147398566773538296e-1), + static_cast<RealType>(4.26802162741800814387e-1), + static_cast<RealType>(1.32254436707168800420e-1), + static_cast<RealType>(2.86055054496737936396e-2), + static_cast<RealType>(3.63373131686703931514e-3), + static_cast<RealType>(3.84438945816411937013e-4), + static_cast<RealType>(1.67768561420296743529e-5), + static_cast<RealType>(8.76982374043363061978e-7), + static_cast<RealType>(-1.99744396595921347207e-8), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1), + static_cast<RealType>(6.28190787856605587324e-1), + static_cast<RealType>(2.10992746593815791546e-1), + static_cast<RealType>(4.44397672327578790713e-2), + static_cast<RealType>(6.02768341661155914525e-3), + static_cast<RealType>(5.46578619531721658923e-4), + static_cast<RealType>(3.11116573895074296750e-5), + static_cast<RealType>(1.17729007979018602786e-6), + static_cast<RealType>(-2.78441865351376040812e-8), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * p); + } + else if (ilogb(p) >= -16) { + RealType t = -log2(ldexp(p, 8)); + + // Rational Approximation + // Maximum Relative Error: 8.8685e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(6.48209596014908359251e-1), + static_cast<RealType>(2.52611824671691390768e-1), + static_cast<RealType>(4.65114070477803399291e-2), + static_cast<RealType>(5.23373513313686849909e-3), + static_cast<RealType>(3.83113384161076881958e-4), + static_cast<RealType>(1.96230077517629530809e-5), + static_cast<RealType>(5.83117485120890819338e-7), + static_cast<RealType>(6.92614450423703079737e-9), + static_cast<RealType>(-3.89531123166658723619e-10), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1), + static_cast<RealType>(3.99413988076189200840e-1), + static_cast<RealType>(7.32068638518417765776e-2), + static_cast<RealType>(8.15517102642752348889e-3), + static_cast<RealType>(6.09126071418098074914e-4), + static_cast<RealType>(3.03794079468789962611e-5), + static_cast<RealType>(9.32109079205017197662e-7), + static_cast<RealType>(1.05435710482490499583e-8), + static_cast<RealType>(-6.08748435983193979360e-10), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * p); + } + else if (ilogb(p) >= -32) { + RealType t = -log2(ldexp(p, 16)); + + // Rational Approximation + // Maximum Relative Error: 1.0253e-17 + BOOST_MATH_STATIC const RealType P[10] = { + static_cast<RealType>(6.36719010559816164896e-1), + static_cast<RealType>(2.06504115804034148753e-1), + static_cast<RealType>(3.28085429275407182582e-2), + static_cast<RealType>(3.31676417519020335859e-3), + static_cast<RealType>(2.35502578757551086372e-4), + static_cast<RealType>(1.21652240566662139418e-5), + static_cast<RealType>(4.57039495420392748658e-7), + static_cast<RealType>(1.18090959236399583940e-8), + static_cast<RealType>(1.77492646969597480221e-10), + static_cast<RealType>(-2.19331267300885448673e-17), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1), + static_cast<RealType>(3.24422807416528490276e-1), + static_cast<RealType>(5.15290129833049138552e-2), + static_cast<RealType>(5.21051235888272287209e-3), + static_cast<RealType>(3.69895399249472399625e-4), + static_cast<RealType>(1.91103139437893226482e-5), + static_cast<RealType>(7.17882574725373091636e-7), + static_cast<RealType>(1.85502934977316481559e-8), + static_cast<RealType>(2.78798057565507249164e-10), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * p); + } + else if (ilogb(p) >= -64) { + RealType t = -log2(ldexp(p, 32)); + + // Rational Approximation + // Maximum Relative Error: 8.1705e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(6.36619775525705206992e-1), + static_cast<RealType>(2.68335698140634792041e-1), + static_cast<RealType>(5.49803347535070103650e-2), + static_cast<RealType>(7.25018344556356907109e-3), + static_cast<RealType>(6.87753481255849254220e-4), + static_cast<RealType>(4.86155006277788340253e-5), + static_cast<RealType>(2.84604768310787862450e-6), + static_cast<RealType>(9.56133960810049319917e-8), + static_cast<RealType>(5.26850116571886385248e-9), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1), + static_cast<RealType>(4.21500730173440590900e-1), + static_cast<RealType>(8.63629077498258325752e-2), + static_cast<RealType>(1.13885615328098640032e-2), + static_cast<RealType>(1.08032064178130906887e-3), + static_cast<RealType>(7.63650498196064792408e-5), + static_cast<RealType>(4.47056124637379045275e-6), + static_cast<RealType>(1.50189171357721423127e-7), + static_cast<RealType>(8.27574227882033707932e-9), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * p); + } + else { + result = 2 / (constants::pi<RealType>() * p); + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_quantile_upper_imp_prec(const RealType& p, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (p >= 0.4375) { + RealType t = p - 0.4375; + + // Rational Approximation + // Maximum Relative Error: 1.4465e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[11] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.08338732735341567163440035550389989556e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.27245731792290848390848202647311435023e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.29317169036386848462079766136373749420e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.36342136825575317326816540539659955416e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.31108700679715257074164180252148868348e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.81863611749256385875333154189074054367e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.11618233433781722149749739225688743102e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.45241854625686954669050322459035410227e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.09780430233523239228350030812868983054e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.42232005306623465126477816911649683789e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.24816048952817367950452675590290535540e0), + }; + BOOST_MATH_STATIC const RealType Q[10] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.80464069267458650284548842830642770344e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.28240205449280944407125436342013240876e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.94145088402407692372903806765594642452e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30062294376971843436236253827463203953e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.47118047660686070998671803800237836970e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.00643263133479482753298910520340235765e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.79460803824650509439313928266686172255e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.32647058691746306769699006355256099134e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.59208938705683333141038012302171324544e0), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.375) { + RealType t = p - 0.375; + + // Rational Approximation + // Maximum Relative Error: 5.1929e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[11] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31348919222343858173602105619413801018e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.02800226274700443079521563669609776285e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.02091675505570786434803291987263553778e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50141943970885120432710080552941486001e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.93099903417013423125762526465625227789e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.56412922160141953385088141936082249641e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.47026602535072645589119440784669747242e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.01068960815396205074336853052832780888e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.86591619131639705495877493344047777421e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.26390836417639942474165178280649450755e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.18212484486162942333407102351878915285e0), + }; + BOOST_MATH_STATIC const RealType Q[10] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.97802777458574322604171035748634755981e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.33277809211107726455308655998819166901e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.76555481647551088626503871996617234475e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.33146828123660043197526014404644087069e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.65159900182434446550785415837526228592e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.32391192521438191878041140980983374411e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.12112886240590711980064990996002999330e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.93964809733838306198746831833843897743e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.53948309965401603055162465663290204205e1), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.25) { + RealType t = p - 0.25; + + // Rational Approximation + // Maximum Relative Error: 3.2765e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.55081568282045925871949387822806890848e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21080883686702131458668798583937913025e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.15083151599213113740932148510289036342e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.94190629930345397070104862391009053509e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.40768205403470729468297576291723141480e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.00001008242667338579153437084294876585e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70900785394455368299616221471466320407e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.48947677419760753410122194475234527150e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.01826174001050912355357867446431955195e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.55833657916143927452986099130671173511e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.32953617526068647169047596631564287934e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.32825234826729794599233825734928884074e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.47352171888649528242284500266830013906e1), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.40793887011403443604922082103267036101e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.04348824299115035210088417095305744248e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19680004238557953382868629429538716069e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.31172263627566980203163658640597441741e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.07390429662527773449936608284938592773e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.94877589960261706923147291496752293313e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.94903802003585398809229608695623474341e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.80417437710146805538675929521229778181e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.23364098614130091185959973343748897970e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.12975537807357019330268041620753617442e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.36592279898578127130605391750428961301e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18495624730372864715421146607185990918e1), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.125) { + RealType t = p - 0.125; + + // Rational Approximation + // Maximum Relative Error: 1.8007e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.68160868054034088524891526884683014057e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85165791469635551063850795991424359350e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.42938802867742165917839659578485422534e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59273512668331194186228996665355137458e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.91680503091725091370507732042764517726e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85642348415580865994863513727308578556e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.90181935466760294413877600892013910183e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.89141276256233344773677083034724024215e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.00250514074918631367419468760920281159e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.28168216451109123143492880695546179794e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.14996399533648172721538646235459709807e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.58122093722347315498230864294015130011e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.25168985723506298009849577846542992545e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.01179759985059408785527092464505889999e5), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.08766677593618443545489115711858395831e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.05163374816838964338807027995515659842e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.62582103160439981904537982068579322820e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.62170991799612186300694554812291085206e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11013837158432827711075385018851760313e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.45458895395245243570930804678601511371e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.08336489932795411216528182314354971403e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.11314692423102333551299419575616734987e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.43287683964711678082430107025218057096e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.62052814931825182298493472041247278475e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.91440920656902450957296030252809476245e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.54913345383745613446952578605023052270e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.76034827722473399290702590414091767416e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.94027684838690965214346010602354223752e3), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -4) { + RealType t = -log2(ldexp(p, 3)); + + // Rational Approximation + // Maximum Relative Error: 6.1905e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.10201085067542610656114408605853786551e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.04725580445598482170291458376577106746e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.35945839005443673797792325217359695272e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.15894004364989372373490772246381545906e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.54550169514753150042231386414687368032e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50389998399729913427837945242228928632e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75018554725308784191307050896936055909e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.95901705695908219804887362154169268380e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.34386856794684798098717884587473860604e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.89025399683852111061217430321882178699e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19044156703773954109232310846984749672e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11932910013840927659486142481532276176e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.64064398716881126082770692219937093427e-10), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24909572944428286558287313527068259394e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.70912720447370835699164559729287157119e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.21998644852982625437008410769048682388e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.95906385698373052547496572397097325447e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.35344144061390771459100718852878517200e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.34168669072527413734185948498168454149e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.24488907049996230177518311480230131257e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.92059624838630990024209986717533470508e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.84464614954263838504154559314144088371e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.67874815200287308180777775077428545024e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.65919857481420519138294080418011981524e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.31466713452016682217190521435479677133e-10), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * p); + } + else if (ilogb(p) >= -8) { + RealType t = -log2(ldexp(p, 4)); + + // Rational Approximation + // Maximum Relative Error: 8.5157e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.06147398566773479301585022897491054494e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06137881154706023038556659418303323027e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.00274868819366386235164897614448662308e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.03481313941011533876096564688041226638e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50172569438851062169493372974287427240e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.33370725278950299189434839636002761850e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.97566905908106543054773229070602272718e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85701973515993932384374087677862623215e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.81956143385351702288398705969037130205e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.49975572102999645354655667945479202048e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.54665400959860442558683245665801873530e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.94292402413454232307556797758030774716e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.98038791388715925556623187510676330309e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11242951548709169234296005470944661995e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.92636379295018831848234711132457626676e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.77389296072621088586880199705598178518e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.57808410784300002747916947756919004207e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.93860773322862111592582321183379587624e-16), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52683694883265337797012770275040297516e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17837082293165509684677505408307814500e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.06195236296471366891670923430225774487e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29459155224640682509948954218044556307e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.71350726081102446771887145938865551618e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.55986063168260695680927535587363081713e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.91996892322204645930710038043021675160e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.43907073162091303683795779882887569537e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.50034830055055263363497137448887884379e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.56615898355501904078935686679056442496e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.61099855362387625880067378834775577974e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.12940315230564635808566630258463831421e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.73572881409271303264226007333510301220e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.77786420070246087920941454352749186288e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.77914406265766625938477137082940482898e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.19708585422668069396821478975324123588e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.40406059898292960948942525697075698413e-15), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * p); + } + else if (ilogb(p) >= -16) { + RealType t = -log2(ldexp(p, 8)); + + // Rational Approximation + // Maximum Relative Error: 7.6812e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.48209596014908270566135466727658374314e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.02026332003132864886056710532156370366e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.68941634461905013212266453851941196774e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.61650792370551069313309111250434438540e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52611930219013953260661961529732777539e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29488123972430683478601278003510200360e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.68806175827491046693183596144172426378e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.51806782259569842628995584152985951836e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.92353868262961486571527005289554589652e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21494769586031703137329731447673056499e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.39837421784601055804920937629607771973e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.82216155524308827738242486229625170158e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04275785296896148301798836366902456306e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.19999929939765873468528448012634122362e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.03583326787146398902262502660879425573e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59755092249701477917281379650537907903e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.32583227076029470589713734885690555562e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.18237323554153660947807202150429686004e-20), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.38459552164692902984228821988876295376e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.21584899508575302641780901222203752951e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19656836695824518143414401720590693544e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.39821085943818944882332778361549212756e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.60484296824768079700823824408428524933e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.22173385695010329771921985088956556771e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.95541259523416810836752584764202086573e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.02184255281138028802991551275755427743e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.90825805251143907045903671893185297007e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00501277755608081163250456177637280682e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.43387099521800224735155351696799358451e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63751106922299101655071906417624415019e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.02796982349519589339629488980132546290e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.26197249278457937947269910907701176956e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.50981935956236238709523457678017928506e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.65309560070040982176772709693008187384e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.42817828965851841104270899392956866435e-20), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * p); + } + else if (ilogb(p) >= -32) { + RealType t = -log2(ldexp(p, 16)); + + // Rational Approximation + // Maximum Relative Error: 2.8388e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.36719010559816175149447242695581604280e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.14714772485724956396126176973339095223e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.47792450677638612907408723539943311437e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14084804538576805298420530820092167411e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.25784891219227004394312050838763762669e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06837168825575413225975778906503529455e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.26908306638706189702624634771158355088e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.06396335535135452379658152785541731746e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.89854018431899039966628599727721422261e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.48974049316978526855972339306215972434e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.50886538662952684349385729585856778829e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.14095970401472469264258565259303801322e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71915162586912203234023473966563445362e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.46099196574734038609354417874908346873e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.69944075002490023348175340827135133316e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.37340205792165863440617831987825515203e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.87812199530402923085142356622707924805e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.76810877067601573471489978907720495511e-24), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.94373217074550329856398644558576545146e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17462725343185049507839058445338783693e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.79202779096887355136298419604918306868e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.97583473532621831662838256679872014292e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.67819154370257505016693473230060726722e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14182379349642191946237975301363902175e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.38367234191828732305257162934647076311e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.98221340505887984555143894024281550376e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17648765147609962405833802498013198305e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.94091261341172666220769613477202626517e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.12169979717068598708585414568018667622e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.70043694579268983742161305612636042906e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.43651270200498902307944806310116446583e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.95266223996097470768947426604723764300e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15821111112681530432702452073811996961e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08041298058041360645934320138765284054e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.91893114159827950553463154758337724676e-24), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * p); + } + else if (ilogb(p) >= -64) { + RealType t = -log2(ldexp(p, 32)); + + // Rational Approximation + // Maximum Relative Error: 1.8746e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.36619775525705288697351261475419832625e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29882145587771350744255724773409752285e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.07952726597277085327360888304737411175e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.72928496414816922167597110591366081416e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.01641163277458693633771532254570177776e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.65627339211110756774878685166318417370e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41953343652571732907631074381749818724e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.27682202874503433884090203197149318368e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.33177176779158737868498722222027162030e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.34485618544363735547395633416797591537e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96996761199233617188435782568975757378e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.49631247632674130553464740647053162499e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.68090516971007163491968659797593218680e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39910262557283449853923535586722968539e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83704888007521886644896435914745476741e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.87884425419276681417666064027484555860e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36600092466902449189685791563990733005e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.53604301472332155307661986064796109517e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.65664588229982894587678197374867153136e-40), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.61098031370834273919229478584740981117e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.40810642301361416278392589243623940154e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.42874346984605660407576451987840217534e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.30896462654364903689199648803900475405e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.17246449391141576955714059812811712587e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22979790521806964047777145482613709395e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.85960899519336488582042102184331670230e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.66273852553220863665584472398487539899e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15372731217983084923067673501176233172e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.09441788794783860366430915309857085224e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.06279112323261126652767146380404236150e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36359339522621405197747209968637035618e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19770526521305519813109395521868217810e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.88562963284557433336083678206625018948e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.95128165317597657325539450957778690578e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.14570923483883184645242764315877865073e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.69599603258626408321886443187629340033e-26), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * p); + } + else if (ilogb(p) >= -128) { + RealType t = -log2(ldexp(p, 64)); + + // Rational Approximation + // Maximum Relative Error: 3.9915e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.36619772367581344576326594951209529606e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.72456363182667891167613558295097711432e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.74486567435450138741058930951301644059e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.94624522781897679952110594449134468564e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.09848623985771449914778668831103210333e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.47493285141689711937343304940229517457e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.22134975575390048261922652492143139174e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30240148387764167235466713023950979069e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06917824188001432265980161955665997666e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.27834220508404489112697949450988070802e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48663447630051388468872352628795428134e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.50514504588736921389704370029090421684e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18965303814265217659151418619980209487e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.74200654214326267651127117044008493519e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.34060054352573532839373386456991657111e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.34240516843783954067548886404044879120e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07803703545135964499326712080667886449e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.61500479431085205124031101160332446432e-23), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.27973454499231032893774072677004977154e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.02401389920613749641292661572240166038e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24819328156695252221821935845914708591e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27210724381675120281861717194783977895e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01708007392492681238863778030115281961e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.63088069045476088736355784718397594807e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.61660379368211892821215228891806384883e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.67946125503415200067055797463173521598e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.72040422051759599096448422858046040086e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.33519997465950200122152159780364149268e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.07666528975810553712124845533861745455e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.86870262247486708096341722190198527508e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.30713380444621290817686989936029997572e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.38899571664905345700275460272815357978e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46750157220118157937510816924752429685e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.69337661543585547694652989893297703060e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.53684359865963395505791671817598669527e-23), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * p); + } + else { + result = 2 / (constants::pi<RealType>() * p); + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_quantile_imp_prec(const RealType& p, bool complement, const boost::math::integral_constant<int, 53>& tag) +{ + if (p > 0.5) + { + return !complement ? landau_quantile_upper_imp_prec(1 - p, tag) : landau_quantile_lower_imp_prec(1 - p, tag); + } + + return complement ? landau_quantile_upper_imp_prec(p, tag) : landau_quantile_lower_imp_prec(p, tag); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_quantile_imp_prec(const RealType& p, bool complement, const boost::math::integral_constant<int, 113>& tag) +{ + if (p > 0.5) + { + return !complement ? landau_quantile_upper_imp_prec(1 - p, tag) : landau_quantile_lower_imp_prec(1 - p, tag); + } + + return complement ? landau_quantile_upper_imp_prec(p, tag) : landau_quantile_lower_imp_prec(p, tag); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType landau_quantile_imp(const landau_distribution<RealType, Policy>& dist, const RealType& p, bool complement) +{ + // This routine implements the quantile for the Landau distribution, + // the value p may be the probability, or its complement if complement=true. + + constexpr auto function = "boost::math::quantile(landau<%1%>&, %1%)"; + BOOST_MATH_STD_USING // for ADL of std functions + + RealType result = 0; + RealType scale = dist.scale(); + RealType location = dist.location(); + RealType bias = dist.bias(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + if (false == detail::check_probability(function, p, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Landau distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + result = location + scale * (landau_quantile_imp_prec(p, complement, tag_type()) - bias); + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_mode_imp_prec(const boost::math::integral_constant<int, 53>&) +{ + return static_cast<RealType>(-0.42931452986133525017); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_mode_imp_prec(const boost::math::integral_constant<int, 113>&) +{ + return BOOST_MATH_BIG_CONSTANT(RealType, 113, -0.42931452986133525016556463510885028346); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType landau_mode_imp(const landau_distribution<RealType, Policy>& dist) +{ + // This implements the mode for the Landau distribution, + + constexpr auto function = "boost::math::mode(landau<%1%>&, %1%)"; + BOOST_MATH_STD_USING // for ADL of std functions + + RealType result = 0; + RealType scale = dist.scale(); + RealType location = dist.location(); + RealType bias = dist.bias(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Landau distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + result = location + scale * (landau_mode_imp_prec<RealType>(tag_type()) - bias); + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_median_imp_prec(const boost::math::integral_constant<int, 53>&) +{ + return static_cast<RealType>(0.57563014394507821440); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_median_imp_prec(const boost::math::integral_constant<int, 113>&) +{ + return BOOST_MATH_BIG_CONSTANT(RealType, 113, 0.57563014394507821439627930892257517269); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType landau_median_imp(const landau_distribution<RealType, Policy>& dist) +{ + // This implements the median for the Landau distribution, + + constexpr auto function = "boost::math::median(landau<%1%>&, %1%)"; + BOOST_MATH_STD_USING // for ADL of std functions + + RealType result = 0; + RealType scale = dist.scale(); + RealType location = dist.location(); + RealType bias = dist.bias(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Landau distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + result = location + scale * (landau_median_imp_prec<RealType>(tag_type()) - bias); + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_entropy_imp_prec(const boost::math::integral_constant<int, 53>&) +{ + return static_cast<RealType>(2.37263644000448182448); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType landau_entropy_imp_prec(const boost::math::integral_constant<int, 113>&) +{ + return BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.3726364400044818244844049010588577710); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType landau_entropy_imp(const landau_distribution<RealType, Policy>& dist) +{ + // This implements the entropy for the Landau distribution, + + constexpr auto function = "boost::math::entropy(landau<%1%>&, %1%)"; + BOOST_MATH_STD_USING // for ADL of std functions + + RealType result = 0; + RealType scale = dist.scale(); + + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Landau distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + result = landau_entropy_imp_prec<RealType>(tag_type()) + log(scale); + + return result; +} + +} // detail + +template <class RealType = double, class Policy = policies::policy<> > +class landau_distribution +{ + public: + typedef RealType value_type; + typedef Policy policy_type; + + BOOST_MATH_GPU_ENABLED landau_distribution(RealType l_location = 0, RealType l_scale = 1) + : mu(l_location), c(l_scale) + { + BOOST_MATH_STD_USING + + constexpr auto function = "boost::math::landau_distribution<%1%>::landau_distribution"; + RealType result = 0; + detail::check_location(function, l_location, &result, Policy()); + detail::check_scale(function, l_scale, &result, Policy()); + + location_bias = -2 / constants::pi<RealType>() * log(l_scale); + } // landau_distribution + + BOOST_MATH_GPU_ENABLED RealType location()const + { + return mu; + } + BOOST_MATH_GPU_ENABLED RealType scale()const + { + return c; + } + BOOST_MATH_GPU_ENABLED RealType bias()const + { + return location_bias; + } + + private: + RealType mu; // The location parameter. + RealType c; // The scale parameter. + RealType location_bias; // = -2 / pi * log(c) +}; + +typedef landau_distribution<double> landau; + +#ifdef __cpp_deduction_guides +template <class RealType> +landau_distribution(RealType) -> landau_distribution<typename boost::math::tools::promote_args<RealType>::type>; +template <class RealType> +landau_distribution(RealType, RealType) -> landau_distribution<typename boost::math::tools::promote_args<RealType>::type>; +#endif + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const landau_distribution<RealType, Policy>&) +{ // Range of permissible values for random variable x. + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) + { + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. + } + else + { // Can only use max_value. + using boost::math::tools::max_value; + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max. + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const landau_distribution<RealType, Policy>&) +{ // Range of supported values for random variable x. + // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) + { + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. + } + else + { // Can only use max_value. + using boost::math::tools::max_value; + return boost::math::pair<RealType, RealType>(-tools::max_value<RealType>(), max_value<RealType>()); // - to + max. + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType pdf(const landau_distribution<RealType, Policy>& dist, const RealType& x) +{ + return detail::landau_pdf_imp(dist, x); +} // pdf + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType cdf(const landau_distribution<RealType, Policy>& dist, const RealType& x) +{ + return detail::landau_cdf_imp(dist, x, false); +} // cdf + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType quantile(const landau_distribution<RealType, Policy>& dist, const RealType& p) +{ + return detail::landau_quantile_imp(dist, p, false); +} // quantile + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<landau_distribution<RealType, Policy>, RealType>& c) +{ + return detail::landau_cdf_imp(c.dist, c.param, true); +} // cdf complement + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<landau_distribution<RealType, Policy>, RealType>& c) +{ + return detail::landau_quantile_imp(c.dist, c.param, true); +} // quantile complement + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mean(const landau_distribution<RealType, Policy>&) +{ // There is no mean: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The Landau Distribution has no mean"); + + return policies::raise_domain_error<RealType>( + "boost::math::mean(landau<%1%>&)", + "The Landau distribution does not have a mean: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType variance(const landau_distribution<RealType, Policy>& /*dist*/) +{ + // There is no variance: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The Landau Distribution has no variance"); + + return policies::raise_domain_error<RealType>( + "boost::math::variance(landau<%1%>&)", + "The Landau distribution does not have a variance: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mode(const landau_distribution<RealType, Policy>& dist) +{ + return detail::landau_mode_imp(dist); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType median(const landau_distribution<RealType, Policy>& dist) +{ + return detail::landau_median_imp(dist); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType skewness(const landau_distribution<RealType, Policy>& /*dist*/) +{ + // There is no skewness: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The Landau Distribution has no skewness"); + + return policies::raise_domain_error<RealType>( + "boost::math::skewness(landau<%1%>&)", + "The Landau distribution does not have a skewness: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); // infinity? +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const landau_distribution<RealType, Policy>& /*dist*/) +{ + // There is no kurtosis: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The Landau Distribution has no kurtosis"); + + return policies::raise_domain_error<RealType>( + "boost::math::kurtosis(landau<%1%>&)", + "The Landau distribution does not have a kurtosis: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const landau_distribution<RealType, Policy>& /*dist*/) +{ + // There is no kurtosis excess: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The Landau Distribution has no kurtosis excess"); + + return policies::raise_domain_error<RealType>( + "boost::math::kurtosis_excess(landau<%1%>&)", + "The Landau distribution does not have a kurtosis: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType entropy(const landau_distribution<RealType, Policy>& dist) +{ + return detail::landau_entropy_imp(dist); +} + +}} // namespaces + + +#endif // BOOST_STATS_LANDAU_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/laplace.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/laplace.hpp index 81ae8fed9d..81a0abe1ab 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/laplace.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/laplace.hpp @@ -1,6 +1,7 @@ // Copyright Thijs van den Berg, 2008. // Copyright John Maddock 2008. // Copyright Paul A. Bristow 2008, 2014. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file @@ -17,11 +18,15 @@ #ifndef BOOST_STATS_LAPLACE_HPP #define BOOST_STATS_LAPLACE_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/tuple.hpp> #include <boost/math/special_functions/log1p.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> #include <boost/math/distributions/complement.hpp> #include <boost/math/constants/constants.hpp> -#include <limits> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> namespace boost{ namespace math{ @@ -43,7 +48,7 @@ public: // ---------------------------------- // Constructor(s) // ---------------------------------- - explicit laplace_distribution(RealType l_location = 0, RealType l_scale = 1) + BOOST_MATH_GPU_ENABLED explicit laplace_distribution(RealType l_location = 0, RealType l_scale = 1) : m_location(l_location), m_scale(l_scale) { RealType result; @@ -55,17 +60,17 @@ public: // Public functions // ---------------------------------- - RealType location() const + BOOST_MATH_GPU_ENABLED RealType location() const { return m_location; } - RealType scale() const + BOOST_MATH_GPU_ENABLED RealType scale() const { return m_scale; } - bool check_parameters(const char* function, RealType* result) const + BOOST_MATH_GPU_ENABLED bool check_parameters(const char* function, RealType* result) const { if(false == detail::check_scale(function, m_scale, result, Policy())) return false; if(false == detail::check_location(function, m_location, result, Policy())) return false; @@ -91,42 +96,42 @@ laplace_distribution(RealType,RealType)->laplace_distribution<typename boost::ma // // Non-member functions. template <class RealType, class Policy> -inline std::pair<RealType, RealType> range(const laplace_distribution<RealType, Policy>&) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> range(const laplace_distribution<RealType, Policy>&) { - if (std::numeric_limits<RealType>::has_infinity) + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) { // Can use infinity. - return std::pair<RealType, RealType>(-std::numeric_limits<RealType>::infinity(), std::numeric_limits<RealType>::infinity()); // - to + infinity. + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. } else { // Can only use max_value. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max value. + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max value. } } template <class RealType, class Policy> -inline std::pair<RealType, RealType> support(const laplace_distribution<RealType, Policy>&) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> support(const laplace_distribution<RealType, Policy>&) { - if (std::numeric_limits<RealType>::has_infinity) + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) { // Can Use infinity. - return std::pair<RealType, RealType>(-std::numeric_limits<RealType>::infinity(), std::numeric_limits<RealType>::infinity()); // - to + infinity. + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. } else { // Can only use max_value. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max value. + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max value. } } template <class RealType, class Policy> -inline RealType pdf(const laplace_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType pdf(const laplace_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions // Checking function argument RealType result = 0; - const char* function = "boost::math::pdf(const laplace_distribution<%1%>&, %1%))"; + constexpr auto function = "boost::math::pdf(const laplace_distribution<%1%>&, %1%))"; // Check scale and location. if (false == dist.check_parameters(function, &result)) return result; @@ -152,13 +157,13 @@ inline RealType pdf(const laplace_distribution<RealType, Policy>& dist, const Re } // pdf template <class RealType, class Policy> -inline RealType logpdf(const laplace_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logpdf(const laplace_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions // Checking function argument - RealType result = -std::numeric_limits<RealType>::infinity(); - const char* function = "boost::math::logpdf(const laplace_distribution<%1%>&, %1%))"; + RealType result = -boost::math::numeric_limits<RealType>::infinity(); + constexpr auto function = "boost::math::logpdf(const laplace_distribution<%1%>&, %1%))"; // Check scale and location. if (false == dist.check_parameters(function, &result)) @@ -178,8 +183,8 @@ inline RealType logpdf(const laplace_distribution<RealType, Policy>& dist, const const RealType mu = dist.scale(); const RealType b = dist.location(); - // if b is 0 avoid divde by 0 error - if(abs(b) < std::numeric_limits<RealType>::epsilon()) + // if b is 0 avoid divide by 0 error + if(abs(b) < boost::math::numeric_limits<RealType>::epsilon()) { result = log(pdf(dist, x)); } @@ -194,13 +199,13 @@ inline RealType logpdf(const laplace_distribution<RealType, Policy>& dist, const } // logpdf template <class RealType, class Policy> -inline RealType cdf(const laplace_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const laplace_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // For ADL of std functions. RealType result = 0; // Checking function argument. - const char* function = "boost::math::cdf(const laplace_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const laplace_distribution<%1%>&, %1%)"; // Check scale and location. if (false == dist.check_parameters(function, &result)) return result; @@ -228,13 +233,13 @@ inline RealType cdf(const laplace_distribution<RealType, Policy>& dist, const Re } // cdf template <class RealType, class Policy> -inline RealType logcdf(const laplace_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logcdf(const laplace_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // For ADL of std functions. RealType result = 0; // Checking function argument. - const char* function = "boost::math::logcdf(const laplace_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logcdf(const laplace_distribution<%1%>&, %1%)"; // Check scale and location. if (false == dist.check_parameters(function, &result)) { @@ -273,13 +278,13 @@ inline RealType logcdf(const laplace_distribution<RealType, Policy>& dist, const } // logcdf template <class RealType, class Policy> -inline RealType quantile(const laplace_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const laplace_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std functions. // Checking function argument RealType result = 0; - const char* function = "boost::math::quantile(const laplace_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const laplace_distribution<%1%>&, %1%)"; if (false == dist.check_parameters(function, &result)) return result; if(false == detail::check_probability(function, p, &result, Policy())) return result; @@ -311,7 +316,7 @@ inline RealType quantile(const laplace_distribution<RealType, Policy>& dist, con template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<laplace_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<laplace_distribution<RealType, Policy>, RealType>& c) { // Calculate complement of cdf. BOOST_MATH_STD_USING // for ADL of std functions @@ -322,7 +327,7 @@ inline RealType cdf(const complemented2_type<laplace_distribution<RealType, Poli RealType result = 0; // Checking function argument. - const char* function = "boost::math::cdf(const complemented2_type<laplace_distribution<%1%>, %1%>&)"; + constexpr auto function = "boost::math::cdf(const complemented2_type<laplace_distribution<%1%>, %1%>&)"; // Check scale and location. if (false == c.dist.check_parameters(function, &result)) return result; @@ -348,7 +353,7 @@ inline RealType cdf(const complemented2_type<laplace_distribution<RealType, Poli } // cdf complement template <class RealType, class Policy> -inline RealType logcdf(const complemented2_type<laplace_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType logcdf(const complemented2_type<laplace_distribution<RealType, Policy>, RealType>& c) { // Calculate complement of logcdf. BOOST_MATH_STD_USING // for ADL of std functions @@ -359,7 +364,7 @@ inline RealType logcdf(const complemented2_type<laplace_distribution<RealType, P RealType result = 0; // Checking function argument. - const char* function = "boost::math::logcdf(const complemented2_type<laplace_distribution<%1%>, %1%>&)"; + constexpr auto function = "boost::math::logcdf(const complemented2_type<laplace_distribution<%1%>, %1%>&)"; // Check scale and location. if (false == c.dist.check_parameters(function, &result)) return result; @@ -389,7 +394,7 @@ inline RealType logcdf(const complemented2_type<laplace_distribution<RealType, P } // cdf complement template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<laplace_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<laplace_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions. @@ -400,17 +405,17 @@ inline RealType quantile(const complemented2_type<laplace_distribution<RealType, RealType result = 0; // Checking function argument. - const char* function = "quantile(const complemented2_type<laplace_distribution<%1%>, %1%>&)"; + constexpr auto function = "quantile(const complemented2_type<laplace_distribution<%1%>, %1%>&)"; if (false == c.dist.check_parameters(function, &result)) return result; // Extreme values. if(q == 0) { - return std::numeric_limits<RealType>::infinity(); + return boost::math::numeric_limits<RealType>::infinity(); } if(q == 1) { - return -std::numeric_limits<RealType>::infinity(); + return -boost::math::numeric_limits<RealType>::infinity(); } if(false == detail::check_probability(function, q, &result, Policy())) return result; @@ -424,49 +429,49 @@ inline RealType quantile(const complemented2_type<laplace_distribution<RealType, } // quantile template <class RealType, class Policy> -inline RealType mean(const laplace_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const laplace_distribution<RealType, Policy>& dist) { return dist.location(); } template <class RealType, class Policy> -inline RealType standard_deviation(const laplace_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType standard_deviation(const laplace_distribution<RealType, Policy>& dist) { return constants::root_two<RealType>() * dist.scale(); } template <class RealType, class Policy> -inline RealType mode(const laplace_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const laplace_distribution<RealType, Policy>& dist) { return dist.location(); } template <class RealType, class Policy> -inline RealType median(const laplace_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType median(const laplace_distribution<RealType, Policy>& dist) { return dist.location(); } template <class RealType, class Policy> -inline RealType skewness(const laplace_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const laplace_distribution<RealType, Policy>& /*dist*/) { return 0; } template <class RealType, class Policy> -inline RealType kurtosis(const laplace_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const laplace_distribution<RealType, Policy>& /*dist*/) { return 6; } template <class RealType, class Policy> -inline RealType kurtosis_excess(const laplace_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const laplace_distribution<RealType, Policy>& /*dist*/) { return 3; } template <class RealType, class Policy> -inline RealType entropy(const laplace_distribution<RealType, Policy> & dist) +BOOST_MATH_GPU_ENABLED inline RealType entropy(const laplace_distribution<RealType, Policy> & dist) { using std::log; return log(2*dist.scale()*constants::e<RealType>()); diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/logistic.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/logistic.hpp index d12de48c59..56dc6e9f2f 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/logistic.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/logistic.hpp @@ -1,5 +1,5 @@ // Copyright 2008 Gautam Sewani -// +// Copyright 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt @@ -8,12 +8,17 @@ #ifndef BOOST_MATH_DISTRIBUTIONS_LOGISTIC #define BOOST_MATH_DISTRIBUTIONS_LOGISTIC +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/precision.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> #include <boost/math/distributions/complement.hpp> #include <boost/math/special_functions/log1p.hpp> #include <boost/math/constants/constants.hpp> -#include <utility> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> namespace boost { namespace math { @@ -24,22 +29,22 @@ namespace boost { namespace math { typedef RealType value_type; typedef Policy policy_type; - logistic_distribution(RealType l_location=0, RealType l_scale=1) // Constructor. + BOOST_MATH_GPU_ENABLED logistic_distribution(RealType l_location=0, RealType l_scale=1) // Constructor. : m_location(l_location), m_scale(l_scale) { - static const char* function = "boost::math::logistic_distribution<%1%>::logistic_distribution"; + constexpr auto function = "boost::math::logistic_distribution<%1%>::logistic_distribution"; RealType result; detail::check_scale(function, l_scale, &result, Policy()); detail::check_location(function, l_location, &result, Policy()); } // Accessor functions. - RealType scale()const + BOOST_MATH_GPU_ENABLED RealType scale()const { return m_scale; } - RealType location()const + BOOST_MATH_GPU_ENABLED RealType location()const { return m_location; } @@ -60,26 +65,26 @@ namespace boost { namespace math { #endif template <class RealType, class Policy> - inline const std::pair<RealType, RealType> range(const logistic_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const logistic_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>( - std::numeric_limits<RealType>::has_infinity ? -std::numeric_limits<RealType>::infinity() : -max_value<RealType>(), - std::numeric_limits<RealType>::has_infinity ? std::numeric_limits<RealType>::infinity() : max_value<RealType>()); + return boost::math::pair<RealType, RealType>( + boost::math::numeric_limits<RealType>::has_infinity ? -boost::math::numeric_limits<RealType>::infinity() : -max_value<RealType>(), + boost::math::numeric_limits<RealType>::has_infinity ? boost::math::numeric_limits<RealType>::infinity() : max_value<RealType>()); } template <class RealType, class Policy> - inline const std::pair<RealType, RealType> support(const logistic_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const logistic_distribution<RealType, Policy>& /* dist */) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + infinity + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + infinity } template <class RealType, class Policy> - inline RealType pdf(const logistic_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType pdf(const logistic_distribution<RealType, Policy>& dist, const RealType& x) { - static const char* function = "boost::math::pdf(const logistic_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const logistic_distribution<%1%>&, %1%)"; RealType scale = dist.scale(); RealType location = dist.location(); RealType result = 0; @@ -114,12 +119,12 @@ namespace boost { namespace math { } template <class RealType, class Policy> - inline RealType cdf(const logistic_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const logistic_distribution<RealType, Policy>& dist, const RealType& x) { RealType scale = dist.scale(); RealType location = dist.location(); RealType result = 0; // of checks. - static const char* function = "boost::math::cdf(const logistic_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const logistic_distribution<%1%>&, %1%)"; if(false == detail::check_scale(function, scale, &result, Policy())) { return result; @@ -149,12 +154,12 @@ namespace boost { namespace math { } template <class RealType, class Policy> - inline RealType logcdf(const logistic_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType logcdf(const logistic_distribution<RealType, Policy>& dist, const RealType& x) { RealType scale = dist.scale(); RealType location = dist.location(); RealType result = 0; // of checks. - static const char* function = "boost::math::cdf(const logistic_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const logistic_distribution<%1%>&, %1%)"; if(false == detail::check_scale(function, scale, &result, Policy())) { return result; @@ -192,13 +197,13 @@ namespace boost { namespace math { } template <class RealType, class Policy> - inline RealType quantile(const logistic_distribution<RealType, Policy>& dist, const RealType& p) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const logistic_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING RealType location = dist.location(); RealType scale = dist.scale(); - static const char* function = "boost::math::quantile(const logistic_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const logistic_distribution<%1%>&, %1%)"; RealType result = 0; if(false == detail::check_scale(function, scale, &result, Policy())) @@ -228,13 +233,13 @@ namespace boost { namespace math { } // RealType quantile(const logistic_distribution<RealType, Policy>& dist, const RealType& p) template <class RealType, class Policy> - inline RealType cdf(const complemented2_type<logistic_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<logistic_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING RealType location = c.dist.location(); RealType scale = c.dist.scale(); RealType x = c.param; - static const char* function = "boost::math::cdf(const complement(logistic_distribution<%1%>&), %1%)"; + constexpr auto function = "boost::math::cdf(const complement(logistic_distribution<%1%>&), %1%)"; RealType result = 0; if(false == detail::check_scale(function, scale, &result, Policy())) @@ -263,13 +268,13 @@ namespace boost { namespace math { } template <class RealType, class Policy> - inline RealType logcdf(const complemented2_type<logistic_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType logcdf(const complemented2_type<logistic_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING RealType location = c.dist.location(); RealType scale = c.dist.scale(); RealType x = c.param; - static const char* function = "boost::math::cdf(const complement(logistic_distribution<%1%>&), %1%)"; + constexpr auto function = "boost::math::cdf(const complement(logistic_distribution<%1%>&), %1%)"; RealType result = 0; if(false == detail::check_scale(function, scale, &result, Policy())) @@ -299,12 +304,12 @@ namespace boost { namespace math { } template <class RealType, class Policy> - inline RealType quantile(const complemented2_type<logistic_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<logistic_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING RealType scale = c.dist.scale(); RealType location = c.dist.location(); - static const char* function = "boost::math::quantile(const complement(logistic_distribution<%1%>&), %1%)"; + constexpr auto function = "boost::math::quantile(const complement(logistic_distribution<%1%>&), %1%)"; RealType result = 0; if(false == detail::check_scale(function, scale, &result, Policy())) return result; @@ -335,13 +340,13 @@ namespace boost { namespace math { } template <class RealType, class Policy> - inline RealType mean(const logistic_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const logistic_distribution<RealType, Policy>& dist) { return dist.location(); } // RealType mean(const logistic_distribution<RealType, Policy>& dist) template <class RealType, class Policy> - inline RealType variance(const logistic_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const logistic_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING RealType scale = dist.scale(); @@ -349,36 +354,36 @@ namespace boost { namespace math { } // RealType variance(const logistic_distribution<RealType, Policy>& dist) template <class RealType, class Policy> - inline RealType mode(const logistic_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mode(const logistic_distribution<RealType, Policy>& dist) { return dist.location(); } template <class RealType, class Policy> - inline RealType median(const logistic_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType median(const logistic_distribution<RealType, Policy>& dist) { return dist.location(); } template <class RealType, class Policy> - inline RealType skewness(const logistic_distribution<RealType, Policy>& /*dist*/) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const logistic_distribution<RealType, Policy>& /*dist*/) { return 0; } // RealType skewness(const logistic_distribution<RealType, Policy>& dist) template <class RealType, class Policy> - inline RealType kurtosis_excess(const logistic_distribution<RealType, Policy>& /*dist*/) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const logistic_distribution<RealType, Policy>& /*dist*/) { return static_cast<RealType>(6)/5; } // RealType kurtosis_excess(const logistic_distribution<RealType, Policy>& dist) template <class RealType, class Policy> - inline RealType kurtosis(const logistic_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const logistic_distribution<RealType, Policy>& dist) { return kurtosis_excess(dist) + 3; } // RealType kurtosis_excess(const logistic_distribution<RealType, Policy>& dist) template <class RealType, class Policy> - inline RealType entropy(const logistic_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType entropy(const logistic_distribution<RealType, Policy>& dist) { using std::log; return 2 + log(dist.scale()); diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/lognormal.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/lognormal.hpp index 3c8f576e56..dfc3e4b2a2 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/lognormal.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/lognormal.hpp @@ -1,4 +1,5 @@ // Copyright John Maddock 2006. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,12 +11,15 @@ // http://mathworld.wolfram.com/LogNormalDistribution.html // http://en.wikipedia.org/wiki/Lognormal_distribution +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/promotion.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/distributions/normal.hpp> #include <boost/math/special_functions/expm1.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> - -#include <utility> +#include <boost/math/policies/error_handling.hpp> +#include <boost/math/constants/constants.hpp> namespace boost{ namespace math { @@ -23,7 +27,7 @@ namespace detail { template <class RealType, class Policy> - inline bool check_lognormal_x( + BOOST_MATH_GPU_ENABLED inline bool check_lognormal_x( const char* function, RealType const& x, RealType* result, const Policy& pol) @@ -48,7 +52,7 @@ public: typedef RealType value_type; typedef Policy policy_type; - lognormal_distribution(RealType l_location = 0, RealType l_scale = 1) + BOOST_MATH_GPU_ENABLED lognormal_distribution(RealType l_location = 0, RealType l_scale = 1) : m_location(l_location), m_scale(l_scale) { RealType result; @@ -56,12 +60,12 @@ public: detail::check_location("boost::math::lognormal_distribution<%1%>::lognormal_distribution", l_location, &result, Policy()); } - RealType location()const + BOOST_MATH_GPU_ENABLED RealType location()const { return m_location; } - RealType scale()const + BOOST_MATH_GPU_ENABLED RealType scale()const { return m_scale; } @@ -83,29 +87,29 @@ lognormal_distribution(RealType,RealType)->lognormal_distribution<typename boost #endif template <class RealType, class Policy> -inline const std::pair<RealType, RealType> range(const lognormal_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const lognormal_distribution<RealType, Policy>& /*dist*/) { // Range of permissible values for random variable x is >0 to +infinity. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> -inline const std::pair<RealType, RealType> support(const lognormal_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const lognormal_distribution<RealType, Policy>& /*dist*/) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> -RealType pdf(const lognormal_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED RealType pdf(const lognormal_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions RealType mu = dist.location(); RealType sigma = dist.scale(); - static const char* function = "boost::math::pdf(const lognormal_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const lognormal_distribution<%1%>&, %1%)"; RealType result = 0; if(0 == detail::check_scale(function, sigma, &result, Policy())) @@ -129,11 +133,11 @@ RealType pdf(const lognormal_distribution<RealType, Policy>& dist, const RealTyp } template <class RealType, class Policy> -inline RealType cdf(const lognormal_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const lognormal_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(const lognormal_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const lognormal_distribution<%1%>&, %1%)"; RealType result = 0; if(0 == detail::check_scale(function, dist.scale(), &result, Policy())) @@ -151,11 +155,11 @@ inline RealType cdf(const lognormal_distribution<RealType, Policy>& dist, const } template <class RealType, class Policy> -inline RealType quantile(const lognormal_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const lognormal_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const lognormal_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const lognormal_distribution<%1%>&, %1%)"; RealType result = 0; if(0 == detail::check_scale(function, dist.scale(), &result, Policy())) @@ -175,11 +179,11 @@ inline RealType quantile(const lognormal_distribution<RealType, Policy>& dist, c } template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<lognormal_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<lognormal_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(const lognormal_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const lognormal_distribution<%1%>&, %1%)"; RealType result = 0; if(0 == detail::check_scale(function, c.dist.scale(), &result, Policy())) @@ -197,11 +201,11 @@ inline RealType cdf(const complemented2_type<lognormal_distribution<RealType, Po } template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<lognormal_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<lognormal_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const lognormal_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const lognormal_distribution<%1%>&, %1%)"; RealType result = 0; if(0 == detail::check_scale(function, c.dist.scale(), &result, Policy())) @@ -221,7 +225,7 @@ inline RealType quantile(const complemented2_type<lognormal_distribution<RealTyp } template <class RealType, class Policy> -inline RealType mean(const lognormal_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const lognormal_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions @@ -238,7 +242,7 @@ inline RealType mean(const lognormal_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType variance(const lognormal_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType variance(const lognormal_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions @@ -255,7 +259,7 @@ inline RealType variance(const lognormal_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType mode(const lognormal_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const lognormal_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions @@ -272,7 +276,7 @@ inline RealType mode(const lognormal_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType median(const lognormal_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType median(const lognormal_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions RealType mu = dist.location(); @@ -280,7 +284,7 @@ inline RealType median(const lognormal_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType skewness(const lognormal_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const lognormal_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions @@ -300,7 +304,7 @@ inline RealType skewness(const lognormal_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType kurtosis(const lognormal_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const lognormal_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions @@ -318,7 +322,7 @@ inline RealType kurtosis(const lognormal_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType kurtosis_excess(const lognormal_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const lognormal_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions @@ -336,9 +340,9 @@ inline RealType kurtosis_excess(const lognormal_distribution<RealType, Policy>& } template <class RealType, class Policy> -inline RealType entropy(const lognormal_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType entropy(const lognormal_distribution<RealType, Policy>& dist) { - using std::log; + BOOST_MATH_STD_USING RealType mu = dist.location(); RealType sigma = dist.scale(); return mu + log(constants::two_pi<RealType>()*constants::e<RealType>()*sigma*sigma)/2; diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/mapairy.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/mapairy.hpp new file mode 100644 index 0000000000..8bf1f990c1 --- /dev/null +++ b/contrib/restricted/boost/math/include/boost/math/distributions/mapairy.hpp @@ -0,0 +1,4220 @@ +// Copyright Takuma Yoshimura 2024. +// Copyright Matt Borland 2024. +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file +// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) + +#ifndef BOOST_STATS_MAPAIRY_HPP +#define BOOST_STATS_MAPAIRY_HPP + +#ifdef _MSC_VER +#pragma warning(push) +#pragma warning(disable : 4127) // conditional expression is constant +#endif + +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/constants/constants.hpp> +#include <boost/math/tools/big_constant.hpp> +#include <boost/math/distributions/complement.hpp> +#include <boost/math/distributions/detail/common_error_handling.hpp> +#include <boost/math/distributions/detail/derived_accessors.hpp> +#include <boost/math/tools/rational.hpp> +#include <boost/math/special_functions/cbrt.hpp> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> +#include <boost/math/tools/promotion.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/distributions/fwd.hpp> +#include <cmath> +#endif + +namespace boost { namespace math { +template <class RealType, class Policy> +class mapairy_distribution; + +namespace detail { + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_pdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 1) { + // Rational Approximation + // Maximum Relative Error: 3.7591e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.97516171847191855610e-1), + static_cast<RealType>(3.67488253628465083737e-2), + static_cast<RealType>(-9.73242224038828612673e-4), + static_cast<RealType>(2.32207514136635673061e-3), + static_cast<RealType>(5.69067907423210669037e-5), + static_cast<RealType>(-6.02637387141524535193e-5), + static_cast<RealType>(1.04960324426666933327e-5), + static_cast<RealType>(-6.58470237954242016920e-7), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(7.09464351647314165710e-1), + static_cast<RealType>(3.66413036246461392316e-1), + static_cast<RealType>(1.10947882302862241488e-1), + static_cast<RealType>(2.65928486676817177159e-2), + static_cast<RealType>(3.75507284977386290874e-3), + static_cast<RealType>(4.03789594641339005785e-4), + }; + + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 1.5996e-20 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.06251243013238748252e-1), + static_cast<RealType>(1.38178831205785069108e-2), + static_cast<RealType>(4.19280374368049006206e-3), + static_cast<RealType>(8.54607219684690930289e-4), + static_cast<RealType>(-7.46881084120928210702e-5), + static_cast<RealType>(1.47110856483345063335e-5), + static_cast<RealType>(-1.30090180307471994500e-6), + static_cast<RealType>(5.24801123304330014713e-8), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(8.10853683888611687140e-1), + static_cast<RealType>(3.89361261627717143905e-1), + static_cast<RealType>(1.15124062681082170577e-1), + static_cast<RealType>(2.38803416611949902468e-2), + static_cast<RealType>(3.08616898814509065071e-3), + static_cast<RealType>(2.43760043942846261876e-4), + static_cast<RealType>(1.34538901435238836768e-6), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 1.1592e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(5.33842514891989443409e-2), + static_cast<RealType>(1.23301980674903270971e-2), + static_cast<RealType>(3.45717831433988631923e-3), + static_cast<RealType>(3.27034449923176875761e-4), + static_cast<RealType>(1.20406794831890291348e-5), + static_cast<RealType>(5.77489170397965604669e-7), + static_cast<RealType>(-1.15255267205685159063e-7), + static_cast<RealType>(9.15896323073109992939e-9), + static_cast<RealType>(-3.14068002815368247985e-10), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(9.08772985520393226044e-1), + static_cast<RealType>(4.26418573702560818267e-1), + static_cast<RealType>(1.22033746594868893316e-1), + static_cast<RealType>(2.27934009200310243172e-2), + static_cast<RealType>(2.60658999011198623962e-3), + static_cast<RealType>(1.54461660261435227768e-4), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 9.2228e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.58950538583133457384e-2), + static_cast<RealType>(7.47835440063141601948e-3), + static_cast<RealType>(1.81137244353261478410e-3), + static_cast<RealType>(2.26935565382135588558e-4), + static_cast<RealType>(1.43877113825683795505e-5), + static_cast<RealType>(2.08242747557417233626e-7), + static_cast<RealType>(-1.54976465724771282989e-9), + static_cast<RealType>(1.30762989300333026019e-11), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(9.95505437381674174441e-1), + static_cast<RealType>(4.58882737262511297099e-1), + static_cast<RealType>(1.25031310192148865496e-1), + static_cast<RealType>(2.15727229249904102247e-2), + static_cast<RealType>(2.33597081566665672569e-3), + static_cast<RealType>(1.45198998318300328562e-4), + static_cast<RealType>(3.87962234445835345676e-6), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 1.0257e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(3.22517551525042172428e-3), + static_cast<RealType>(1.12822806030796339659e-3), + static_cast<RealType>(1.54489389961322571031e-4), + static_cast<RealType>(9.28479992527909796427e-6), + static_cast<RealType>(2.06168350199745832262e-7), + static_cast<RealType>(9.05110751997021418539e-10), + static_cast<RealType>(-2.15498112371756202097e-12), + static_cast<RealType>(6.41838355699777435924e-15), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(6.53390465399680164234e-1), + static_cast<RealType>(1.82759048270449018482e-1), + static_cast<RealType>(2.80407546367978533849e-2), + static_cast<RealType>(2.50853443923476718145e-3), + static_cast<RealType>(1.27671852825846245421e-4), + static_cast<RealType>(3.28380135691060279203e-6), + static_cast<RealType>(3.06545317089055335742e-8), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 6.0510e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(5.82527663232857270992e-4), + static_cast<RealType>(6.89502117025124630567e-5), + static_cast<RealType>(2.24909795087265741433e-6), + static_cast<RealType>(2.18576787334972903790e-8), + static_cast<RealType>(3.39014723444178274435e-11), + static_cast<RealType>(-9.74481309265612390297e-15), + static_cast<RealType>(-1.13308546492906818388e-16), + static_cast<RealType>(5.32472028720777735712e-19), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(2.74018883667663396766e-1), + static_cast<RealType>(2.95901195665990089660e-2), + static_cast<RealType>(1.57901733512147920251e-3), + static_cast<RealType>(4.24965124147621236633e-5), + static_cast<RealType>(5.17522027193205842016e-7), + static_cast<RealType>(2.00522219276570039934e-9), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 7.3294e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.03264853379349880039e-4), + static_cast<RealType>(5.35256306644392405447e-6), + static_cast<RealType>(9.00657716972118816692e-8), + static_cast<RealType>(5.34913574042209793720e-10), + static_cast<RealType>(6.70752605041678779380e-13), + static_cast<RealType>(-5.30089923101856817552e-16), + static_cast<RealType>(7.28133811621687143754e-19), + static_cast<RealType>(-7.38047553655951666420e-22), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.29920843258164337377e-1), + static_cast<RealType>(6.75018577147646502386e-3), + static_cast<RealType>(1.77694968039695671819e-4), + static_cast<RealType>(2.46428299911920942946e-6), + static_cast<RealType>(1.67165053157990942546e-8), + static_cast<RealType>(4.19496974141131087116e-11), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType t = 1 / sqrt(x * x * x); + + // Rational Approximation + // Maximum Relative Error: 5.6693e-20 + BOOST_MATH_STATIC const RealType P[5] = { + static_cast<RealType>(5.98413420602149016910e-1), + static_cast<RealType>(3.14584075817417883086e-5), + static_cast<RealType>(1.62977928311793051895e1), + static_cast<RealType>(-4.12903117172994371875e-4), + static_cast<RealType>(-1.06404478702135751872e2), + }; + BOOST_MATH_STATIC const RealType Q[3] = { + static_cast<RealType>(1.), + static_cast<RealType>(5.25696892802060720079e-5), + static_cast<RealType>(4.03600055498020483920e1), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t) * t / x; + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_pdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 1) { + // Rational Approximation + // Maximum Relative Error: 7.8308e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.97516171847191855609649452292217911973e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17531822787252717270400174744562144891e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.85115358761409188259685286269086053296e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18029395189535552537870932989876189597e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.77412874842522285996566741532939343827e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.77992070255086842672551073580133785334e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.54573264286260796576738952968288691782e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.94764012694602906119831079380500255557e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.97596258932025712802674070104281981323e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.45466169112247379589927514614067756956e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.99760415118300349769641418430273526815e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43150486566834492207695241913522311930e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46130347604880355784938321408765318948e-13), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11845869711743584628289654085905424438e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.80391154854347711297249357734993136108e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.75628443538173255184583966965162835227e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41016303833742742212624596040074202424e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.19142300833563644046500846364541891138e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.02421707708633106515934651956262614532e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.03973732602338507411104824853671547615e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.35206168908201402570766383018708660819e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.38602606623008690327520130558254165564e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.53740175911385378188372963739884519312e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.27513004715414297729539702862351044344e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.54510493017251997793679126704007098265e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 3.0723e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06251243013238748252181151646220197947e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.92438638323563234519452281479338921158e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.83335793178622701784730867677919844599e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.84159075203218824591724451142550478306e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.04213732090358859917896442076931334722e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.72388220651785798237487005913708387756e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.36099324022668533012286817710272936865e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.74483270731217433628720245792741986795e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.56461597064783966758904403291149549559e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.28590608939674970691948223694855264817e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.81756745849477762773082030302943341729e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.65915115243311285178083515017249358853e-12), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33250387018216706082200927591739589024e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.71707718560216685629188467984384070512e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.81316277289673837399162302797006618384e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.78475951599121894570443981591530879087e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.16167801098514576400689883575304687623e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19167794366424137722223009369062644830e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.20831082064982892777497773490792080382e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.27196399162146247210036306870401328410e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.79335434374966775903734846875100087590e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.30825409557870847168672662674521614782e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.97296173230649275943984471731360073540e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.48943057909563158917114503727080517958e-9), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 4.0903e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.33842514891989443409465171800884519331e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.53264053296761245408991932692426094424e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.23210520807186629205810670362048049836e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.71104271443590027208545022968625306496e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.98781446716778138729774954595209697813e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.98895829308616657174932023565302947632e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.25993639218721804661037829873135732687e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.64669776700609853276056375742089715662e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.11846243382610611156151291892877027869e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.74830086064868141326053648144496072795e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.07549997153431643849551871367000763445e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.10030596535721362628619523622308581344e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19376016170255697546854583591494809062e-13), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52686177278870816414637961315363468426e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19872083945442288336636376283295310445e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.26633866969676511944680471882188527224e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.41261867539396133951024374504099977090e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.18852182132645783844766153200510014113e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70152126044106007357033814742158353948e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.23810508827493234517751339979902448944e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.96161313274648769113605163816403306967e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.06693316156193327359541953619174255726e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.79366356086062616343285660797389238271e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.14585835815353770175366834099001313472e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.05314631662369743547568064896403143693e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.90325380271096603676911761784650800378e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.36933359079566550212098911224675011839e-12), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 6.5015e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.58950538583133457383574346194006716984e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.25447644411503971725638816502617490834e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47605882774114100209665040117276675598e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.12224864838900383464124716266085521485e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.79164249640537972514574059182421325541e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.89668438166714230032406615413991628135e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.44410389750700463263686630222653669837e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.14788978994687095829140113472609739982e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.79821680629333600844514042061772236495e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.49636960435731257154960798035854124639e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.70554745768928821263556963261516872171e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.42293994855343109617040824208078534205e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.37599287094703195312894833570340165019e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.35248179978735448062307216459232932068e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.53569375838863862590910010617140120876e-18), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.94337325681904859647161946168957959628e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.77120402023938328899162557073347121463e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01644685191130734907530007424741314392e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.12479655123720440909164080517207084404e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.25556010526357752360439314019567992245e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.96143273204038192262150849394970544022e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.50612932318889495209230176354364299236e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.12160918304376427109905628326638480473e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.47696044292604039527013647985997661762e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.64067652576843720823459199100800335854e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.00745166063635113130434111509648306420e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.05398901239421768403763864060147286105e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05698259572340563109985785513355912114e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19362835269415404005406782719825077472e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.15444386779802728200716489787161419304e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.02452666470008756043350040893761339083e-16), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 2.0995e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.22517551525042172427941302520759668293e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.86576974828476461442549217748945498966e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18419822818191546598384139622512477000e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.98396184944524020019688823190946146641e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.06686400532599396487775148973665625687e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.05680178109228687159829475615095925679e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.17554487015345146749705505971350254902e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.14774751685364429557883242232797329274e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33266124509168360207594600356349282805e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.76332756800842989348756910429214676252e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.60639771339252642992277508068105926919e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.41859490403554144799385471141184829903e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.77177795293424055655391515546880774987e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.76106923344461402353501262620681801053e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.68829978902134103249656805130103045021e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.42496376687241918803028631991083570963e-26), + }; + BOOST_MATH_STATIC const RealType Q[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19213376162053391168605415200906099633e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.65578261958732385181558047087365997878e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30046653564394292929001223763106276016e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.48388301731958697028701215596777178117e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.50873786049439122933188684993719288258e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.23255654647151798865208394342856435797e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20861791399969402003082323686080041040e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.96882049090731653763684812243275884213e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.98669985741073085290012296575736698103e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.03383311816835346577432387682379226740e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.87320682938150375144724980774245810905e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.13573468677076838075146150847170057373e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34526045003716422620879156626237175127e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.35681579117696161282979297336282783473e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.92944288060269290125987728528698476197e-18), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 2.0937e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.82527663232857270992129793621400616909e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.41696401156754081476312871174198295322e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.42036620449365724707919875710197564857e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.67076745288708619632303078677641380627e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.14278954094278648593125010577441869646e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.40092485054621853149602511539550254471e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.17755660009065973828053533035808718033e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.23871371557251644837598540542648782066e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04069998646037977439620128812310273053e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.94055978349016208777803296823455779097e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.29866428982892883091537921429389750973e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.06056281963023929277728535486590256573e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.57963857545037466186123981516026589992e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.81390322233700529779563477285232205886e-28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.52190981930441828041102818178755246228e-31), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.70564782441895707961338319466546005093e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47770566490107388849474183308889339231e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29364672385303439788399215507370006639e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.37279274083988250795581105436675097881e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.72124151284421794872333348562536468054e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.96970247774973902625712414297788402746e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.38395055453444011915661055983937917120e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.19605460410208704830882138883730331113e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76945301389475508747530234950023648137e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.33624384932503964160642677987886086890e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.01155130710615988897664213446593907596e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.03959317021567084067518847978890548086e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.78213669817351488671519066803835958715e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75492332026736176991870807903277324902e-22), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 1.5856e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.03264853379349880038687006045193401399e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.79539964604630527636184900467871907171e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34840369549460790638336121351837912308e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.73087351972154879439617719914590729748e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.51775493325347153520115736204545037264e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.60104651860674451546102708885530128768e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.90233449697112559539826150932808197444e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.06978852724410115655105118663137681992e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.00399855296672416041126220131900937128e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.18139748830278263202087699889457673035e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.43070756487288399784700274808326343543e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.70126687893706466023887757573369648552e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.29405234560873665664952418690159194840e-30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.69069082510020066864633718082941688708e-34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.33468198065176301137949068264633336529e-37), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.51951069241510130465691156908893803280e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.84647597299970149588010858770320631739e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.90239396588176334117512714878489376365e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.35551585337774834346900776840459179841e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.53375746264539501168763602838029023222e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.42421935941736734247914078641324315900e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.23835501607741697737129504173606231513e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.79603272375172813955236187874231935324e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.44624821303153251954931367754173356213e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.10635081308984534416704147448323126303e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.14627867347129520510628554651739571006e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43792928765659831045040802615903432044e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.79856365207259871336606847582889916798e-25), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType t = 1 / sqrt(x * x * x); + + // Rational Approximation + // Maximum Relative Error: 3.5081e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[8] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.98413420602149016909919089901572802714e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.30303835860684077803651094768293625633e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.89097726237252419724261295392691855545e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.12696604472230480273239741428914666511e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.84517621403071494824886152940942995151e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.67577378292168927009421205756730205227e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.16343347002845084264982358165052437094e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.59558963351172885545760841064831356701e3), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.51965956124978480521462518750569617550e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.61700833299761977287211297600922591853e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.94988298508869748383898344668918510537e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.52494213749069142804725453333400335525e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20093079283917759611690534481918040882e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.82564796242972192725215815897475246715e4), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t) * t / x; + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_pdf_minus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x >= -1) { + RealType t = x + 1; + + // Rational Approximation + // Maximum Relative Error: 3.7525e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(2.76859868856746781256e-1), + static_cast<RealType>(1.10489814676299003241e-1), + static_cast<RealType>(-6.25690643488236678667e-3), + static_cast<RealType>(-1.17905420222527577236e-3), + static_cast<RealType>(1.27188963720084274122e-3), + static_cast<RealType>(-7.20575105181207907889e-5), + static_cast<RealType>(-2.22575633858411851032e-5), + static_cast<RealType>(2.94270091008508492304e-6), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(4.98673671503410894284e-1), + static_cast<RealType>(3.15907666864554716291e-1), + static_cast<RealType>(8.34463558393629855977e-2), + static_cast<RealType>(2.71804643993972494173e-2), + static_cast<RealType>(3.52187050938036578406e-3), + static_cast<RealType>(7.03072974279509263844e-4), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -2) { + RealType t = x + 2; + + // Rational Approximation + // Maximum Relative Error: 4.0995e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(2.14483832832989822788e-1), + static_cast<RealType>(3.72789690317712876663e-1), + static_cast<RealType>(1.86473650057086284496e-1), + static_cast<RealType>(1.31182724166379598907e-2), + static_cast<RealType>(-9.00695064809774432392e-3), + static_cast<RealType>(3.46884420664996747052e-4), + static_cast<RealType>(4.88651392754189961173e-4), + static_cast<RealType>(-6.13516242712196835055e-5), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.06478618107122200489e0), + static_cast<RealType>(4.08809060854459518663e-1), + static_cast<RealType>(2.66617598099501800866e-1), + static_cast<RealType>(4.53526315786051807494e-2), + static_cast<RealType>(2.44078693689626940834e-2), + static_cast<RealType>(1.52822572478697831870e-3), + static_cast<RealType>(8.69480001029742502197e-4), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType s = exp(2 * x * x * x / 27) * sqrt(-x); + + if (x >= -4) { + RealType t = -x - 2; + + // Rational Approximation + // Maximum Relative Error: 2.4768e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(2.74308494787955998605e-1), + static_cast<RealType>(4.87765991440983416392e-1), + static_cast<RealType>(3.84524365110270427617e-1), + static_cast<RealType>(1.77409497505926097339e-1), + static_cast<RealType>(5.25612864287310961520e-2), + static_cast<RealType>(1.01528615034079765421e-2), + static_cast<RealType>(1.20417225696161842090e-3), + static_cast<RealType>(6.97462693097107007719e-5), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.81256903248465876424e0), + static_cast<RealType>(1.43959302060852067876e0), + static_cast<RealType>(6.65882284117861804351e-1), + static_cast<RealType>(1.97537712781845593211e-1), + static_cast<RealType>(3.81732970028510912201e-2), + static_cast<RealType>(4.52767489928026542226e-3), + static_cast<RealType>(2.62240194911920120003e-4), + }; + + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -8) { + RealType t = -x - 4; + + // Rational Approximation + // Maximum Relative Error: 1.5741e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(2.67391547707456587286e-1), + static_cast<RealType>(3.39319035621314371924e-1), + static_cast<RealType>(1.85434799940724207230e-1), + static_cast<RealType>(5.63667456320679857693e-2), + static_cast<RealType>(1.01231164548944177474e-2), + static_cast<RealType>(1.02501575174439362864e-3), + static_cast<RealType>(4.60769537123286016400e-5), + static_cast<RealType>(-4.92754650783224582641e-13), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.27271216837333318516e0), + static_cast<RealType>(6.96551952883867277759e-1), + static_cast<RealType>(2.11871363524516350422e-1), + static_cast<RealType>(3.80622887806509632537e-2), + static_cast<RealType>(3.85400280812991562328e-3), + static_cast<RealType>(1.73246593953823694311e-4), + }; + + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -16) { + RealType t = -x - 8; + + // Rational Approximation + // Maximum Relative Error: 4.6579e-17 + BOOST_MATH_STATIC const RealType P[6] = { + static_cast<RealType>(2.66153901932100301337e-1), + static_cast<RealType>(1.65767350677458230714e-1), + static_cast<RealType>(4.19801402197670061146e-2), + static_cast<RealType>(5.39337995172784579558e-3), + static_cast<RealType>(3.50811247702301287586e-4), + static_cast<RealType>(9.21758454778883157515e-6), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1.), + static_cast<RealType>(6.23092941554668369107e-1), + static_cast<RealType>(1.57829914506366827914e-1), + static_cast<RealType>(2.02787979758160988615e-2), + static_cast<RealType>(1.31903008994475216511e-3), + static_cast<RealType>(3.46575870637847438219e-5), + }; + + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -32) { + RealType t = -x - 16; + + // Rational Approximation + // Maximum Relative Error: 5.2014e-17 + BOOST_MATH_STATIC const RealType P[5] = { + static_cast<RealType>(2.65985830928929730672e-1), + static_cast<RealType>(7.19655029633308583205e-2), + static_cast<RealType>(7.26293125679558421946e-3), + static_cast<RealType>(3.24276402295343802262e-4), + static_cast<RealType>(5.40508013573989841127e-6), + }; + BOOST_MATH_STATIC const RealType Q[5] = { + static_cast<RealType>(1.), + static_cast<RealType>(2.70578525590448009961e-1), + static_cast<RealType>(2.73082032706004833847e-2), + static_cast<RealType>(1.21926059813954504560e-3), + static_cast<RealType>(2.03227900426552177849e-5), + }; + + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + result = 0; + } + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_pdf_minus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x >= -1) { + RealType t = x + 1; + + // Rational Approximation + // Maximum Relative Error: 5.2870e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.76859868856746781256050397658493368372e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13037642242224438972685982606987140111e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.93206268361082760254653961897373271146e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.12844418906916902333116398594921450782e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.36889326770180267250286619759335338794e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.95272615884641416804001553871108995422e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.53808638264746233799776679481568171506e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.92177790427881393122479399837010657693e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.93492737815019893169693306410980499366e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.87510085148730083683110532987841223544e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.28469424017979299382094276157986775969e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.83693904015623816528442886551032709693e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.77632857558257155545506847333166147492e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00448215148716947837105979735199471601e-11), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.69069814466926608209872727645156315374e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.89657828158127300370734997707096744077e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.62713433978940724622996782534485162816e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.91600878366366974062522408704458777166e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.89144035500328704769924414014440238441e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.35263616916053275381069097012458200491e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.49136684724986851824746531490006769036e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.65912003138912073317982729161392623277e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.65931144405541620572732754508534372034e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.40193555853535182510951061797573338442e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.43625211359756249232841566256877823039e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.33207781577559817130740123609636060998e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -2) { + RealType t = x + 2; + + // Rational Approximation + // Maximum Relative Error: 1.1977e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.14483832832989822788477500521594411868e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75657192307644021285091474845448102656e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.40437358470633234235031852091608646844e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.66609942512054705023295445270747546208e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.54563774151184610728476161049657676321e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.51479057544157089574005315379453615537e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.59853789372610909788599341307719626846e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.76919062715142378209907670793921883406e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.58572738466179822770103948740437237476e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.66618046393835590932491510543557226290e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.26253044828460469263564567571249315188e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11130363073235247786909976446790746902e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.49023728251751416730708805268921994420e-10), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.11919889346080886194925406930280687022e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.99082771425048574611745923487528183522e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.99525320878512488641033584061027063035e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.20775109959302182467696345673111724657e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.67505804311611026128557007926613964162e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.77854913919309273628222660024596583623e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.91661599559554233157812211199256222756e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.83924945472605861063053622956144354568e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.84286353909650034923710426843028632590e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.57737060659799463556626420070111210218e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76047305116625604109657617040360402976e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.86975509621224474718728318687795215895e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71646204381423826495116781730719271111e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30359141441663007574346497273327240071e-9), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType s = exp(2 * x * x * x / 27) * sqrt(-x); + + if (x >= -4) { + RealType t = -x - 2; + + // Rational Approximation + // Maximum Relative Error: 5.4547e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.74308494787955998605105974174143750745e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.56767876568276519015214709629156760546e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.23402577465454790961498400214198520261e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.09577559351834952074671208183548972395e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.76209118910349927892265971592071407626e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.09368637728788364895148841703533651597e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.09003822946777310058789032386408519829e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.02362804210869367995322279203786166303e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.67210045349462046966360849113168808620e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17170437120510484976042000272825166724e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.62068279517157268391045945672600042900e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.72238125522303876741011786930129571553e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33906175951716762094473406744654874848e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.88118741063309731598638313174835288433e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.78908322579081615215057968216358892954e-9), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.15777668058369565739250784347385217839e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.58275582332060589146223977924181161908e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.08890987062755381429904193744273374370e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.53062680969750921573862970262146744660e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15983695707064161504470525373678920004e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.09120624447001177857109399158887656977e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.13566107440776375294261717406754395407e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.50716565210262652091950832287627406780e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.40417354541359829249609883808591989082e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.09285589734746898623782466689035549135e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.47580156629757526370271002425784456931e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.03479533688660179064728081632921439825e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.58728676819719406366664644282113323077e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.72685000369623096389026353785111272994e-9), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -8) { + RealType t = -x - 4; + + // Rational Approximation + // Maximum Relative Error: 1.8813e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.67391547707456587286086623414017962238e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.69944730920904699720804320295067934914e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.80384452804523880914883464295008532437e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.74832028145199140240423863864148009059e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71728522451977382202061046054643165624e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.91023495084678296967637417245526177858e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.57730498044529764612538979048001166775e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.31940820074475947691746555183209863058e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.54175805821840981842505041345112198286e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.31350452337838677820161124238784043790e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.52175993144502511705213771924810467309e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.85684239411667243910736588216628677445e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.27124210379062272403030391492854565008e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17645475312219452046348851569796494059e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.06306499345515479193219487228315566344e-11), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13521398369589479131299586715604029947e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.17680254721938920978999949995837883884e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.40693619288419980101309080614788657638e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.44930162913500531579305526795523256972e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22044272115074113804712893993125987243e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.92745159832354238503828226333417152767e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24766164774700476810039401793119553409e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.08325637569571782180723187639357833929e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.74954547353553788519997212700557196088e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.82800744682204649977844278025855329390e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.20210992299988298543034791887173754015e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.22996819257926038785424888617824130286e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.42340212199922656577943251139931264313e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.75700556749505163188370496864513941614e-11), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -16) { + RealType t = -x - 8; + + // Rational Approximation + // Maximum Relative Error: 3.7501e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.66153901932100301337118653561328446399e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.52542079386371212946566450189144670788e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.17560936304516198261138159102435548430e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.26792904240601626330507068992045446428e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.15418212265160879313643948347460896640e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.05247220687656529725024232836519908641e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.64228534097787946289779529645800775231e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.85634097697132464418223150629017524118e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.49585420710073223183176764488210189671e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.48871040740917898530270248991342594461e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.42577266655992039477272273926475476183e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19214263302271253341410568192952269518e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.36635313919771528255819112450043338510e-12), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32484755553196872705775494679365596205e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.17714315014480774542066462899317631393e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.10789882607024692577764888497624620277e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.09821963157449764169644456445120769215e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52354198870000121894280965999352991441e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.12133327236256081067100384182795121111e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.20187894923874357333806454001674518211e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.69039238999927049119096278882765161803e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.35737444680219098802811205475695127060e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.54403624143647064402264521374546365073e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.24233005893817070145949404296998119469e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.89735152971223120087721392400123727326e-12), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -32) { + RealType t = -x - 16; + + // Rational Approximation + // Maximum Relative Error: 9.2696e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.65985830928929730672052407058361701971e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.80409998734303497641108024806388734755e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.49286120625421787109350223436127409819e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.89160491404149422833016337592047445082e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16725811789351893632348469796802834008e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.43438517439595919021069131504449842238e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.29058184637190638359623120253986595623e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.03288592271246432030980385908922413497e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.12286831076824535034975676306286388291e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.64563161552001551475186730009447111173e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.13183856815615371136129883169639301710e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.02405342795439598418033139109649640085e-35), + }; + BOOST_MATH_STATIC const RealType Q[11] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.78286317363568496229516074305435186276e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.06519013547074134846431611115576250187e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.71907733798006110542919988654989891098e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.38874744033460851257697736304200953873e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.54724289412996188575775800547576856966e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.98922099980447626797646560786207812928e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.64352676367403443733555974471752023206e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.92616898324742524009679754162620171773e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.87471345773127482399498877510153906820e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.92954174836731254818376396170511443820e-12), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -64) { + RealType t = -x - 32; + + // Rational Approximation + // Maximum Relative Error: 2.3524e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[10] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.65964563346442080104568381680822923977e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.77958685324702990033291591478515962894e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.56419338083136866686699803771820491401e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.82465178504003399087279098324316458608e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.92402911374159755476910533154145918079e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.91224450962405933321548581824712789516e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.84063939469145970625490205194192347630e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.15300528698702940691774461674788639801e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.85553643603397817535280932672322232325e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.46207029637607033398822620480584537642e-38), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.54906717312241693103173902792310528801e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.84408124581401290943345932332007045483e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.81403744024723164669745491417804917709e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.23423244618880845765135047598258754409e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.84697524433421334697753031272973192290e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.94803525968789587050040294764458613062e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.68948879514200831687856703804327184420e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07366525547027105672618224029122809899e-12), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + result = 0; + } + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_pdf_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53> &tag) { + if (x >= 0) { + return mapairy_pdf_plus_imp_prec<RealType>(x, tag); + } + else if (x <= 0) { + return mapairy_pdf_minus_imp_prec<RealType>(x, tag); + } + else { + return boost::math::numeric_limits<RealType>::quiet_NaN(); + } +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_pdf_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>& tag) { + if (x >= 0) { + return mapairy_pdf_plus_imp_prec<RealType>(x, tag); + } + else if (x <= 0) { + return mapairy_pdf_minus_imp_prec<RealType>(x, tag); + } + else { + return boost::math::numeric_limits<RealType>::quiet_NaN(); + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_pdf_imp(const mapairy_distribution<RealType, Policy>& dist, const RealType& x) { + // + // This calculates the pdf of the Map-Airy distribution and/or its complement. + // + + BOOST_MATH_STD_USING // for ADL of std functions + constexpr auto function = "boost::math::pdf(mapairy<%1%>&, %1%)"; + RealType result = 0; + RealType location = dist.location(); + RealType scale = dist.scale(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + if (false == detail::check_x(function, x, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Map-Airy distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + RealType u = (x - location) / scale; + + result = mapairy_pdf_imp_prec(u, tag_type()) / scale; + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_cdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 1) { + // Rational Approximation + // Maximum Relative Error: 2.9194e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(3.33333333333333333333e-1), + static_cast<RealType>(7.49532137610545010591e-2), + static_cast<RealType>(9.25326921848155048716e-3), + static_cast<RealType>(6.59133092365796208900e-3), + static_cast<RealType>(-5.21942678326323374113e-4), + static_cast<RealType>(8.22766804917461941348e-5), + static_cast<RealType>(-3.97941251650023182117e-6), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(8.17408156824742736411e-1), + static_cast<RealType>(3.57041011418415988268e-1), + static_cast<RealType>(1.04580353775369716002e-1), + static_cast<RealType>(1.87521616934129432292e-2), + static_cast<RealType>(2.33232161135637085535e-3), + static_cast<RealType>(7.31285352607895467310e-5), + }; + + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 3.1531e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(1.84196970581015939888e-1), + static_cast<RealType>(-1.19398028299089933853e-3), + static_cast<RealType>(1.21954054797949597854e-2), + static_cast<RealType>(-9.37912675685073154845e-4), + static_cast<RealType>(1.66651954077980453212e-4), + static_cast<RealType>(-1.33271812303025233648e-5), + static_cast<RealType>(5.35982226125013888796e-7), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1.), + static_cast<RealType>(5.70352826101668448273e-1), + static_cast<RealType>(1.98852010141232271304e-1), + static_cast<RealType>(3.64864882318453496161e-2), + static_cast<RealType>(4.22173125405065522298e-3), + static_cast<RealType>(1.20079284386796600356e-4), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 1.8348e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.07409273397524124098e-1), + static_cast<RealType>(3.83900318969331880402e-2), + static_cast<RealType>(1.17926652359826576790e-2), + static_cast<RealType>(1.52181625871479030046e-3), + static_cast<RealType>(1.50703424417132565662e-4), + static_cast<RealType>(2.10117959279448106308e-6), + static_cast<RealType>(1.97360985832285866640e-8), + static_cast<RealType>(-1.06076300080048408251e-9), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(8.54435380513870673497e-1), + static_cast<RealType>(3.66021233157880878411e-1), + static_cast<RealType>(9.42985570806905160687e-2), + static_cast<RealType>(1.54122343653998564507e-2), + static_cast<RealType>(1.49849056258932455548e-3), + static_cast<RealType>(6.94290406268856211707e-5), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 2.6624e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(4.70720199535228802538e-2), + static_cast<RealType>(2.67200763833749070079e-2), + static_cast<RealType>(7.37400551855064729769e-3), + static_cast<RealType>(1.10592441765001623699e-3), + static_cast<RealType>(9.15846028547400212588e-5), + static_cast<RealType>(3.17801522553862136789e-6), + static_cast<RealType>(2.03102753319827713542e-8), + static_cast<RealType>(-5.16172854149066643529e-11), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(9.05317644829451086870e-1), + static_cast<RealType>(3.73713496637025562492e-1), + static_cast<RealType>(8.94434672792094976627e-2), + static_cast<RealType>(1.31846542255347106087e-2), + static_cast<RealType>(1.16680596342421447100e-3), + static_cast<RealType>(5.44719256441278863300e-5), + static_cast<RealType>(8.73131209154185067287e-7), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 2.6243e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.74847564444513000450e-2), + static_cast<RealType>(6.00209162595027323742e-3), + static_cast<RealType>(7.86550260761375576075e-4), + static_cast<RealType>(4.46682547335758521734e-5), + static_cast<RealType>(9.51329761417139273391e-7), + static_cast<RealType>(4.10313065114362712333e-9), + static_cast<RealType>(-9.81286503831545640189e-12), + static_cast<RealType>(2.98763969872672156104e-14), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(5.27732094554221674504e-1), + static_cast<RealType>(1.14330643482604301178e-1), + static_cast<RealType>(1.27722341942374066265e-2), + static_cast<RealType>(7.54563340152441778517e-4), + static_cast<RealType>(2.13377039814057925832e-5), + static_cast<RealType>(2.09670987094350618690e-7), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 5.4684e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(6.22684103170563193015e-3), + static_cast<RealType>(1.34714356588780958096e-3), + static_cast<RealType>(9.51289465377874891896e-5), + static_cast<RealType>(2.64918464474843134081e-6), + static_cast<RealType>(2.66703857491046795285e-8), + static_cast<RealType>(5.42037888457985833156e-11), + static_cast<RealType>(-6.18017115447736427379e-14), + static_cast<RealType>(9.11626234402148561268e-17), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.09895694991285975774e-1), + static_cast<RealType>(3.69874670435930773471e-2), + static_cast<RealType>(2.15708854325146400153e-3), + static_cast<RealType>(6.35345408451056881884e-5), + static_cast<RealType>(8.65722805575670770555e-7), + static_cast<RealType>(4.03153189557220023202e-9), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 6.5947e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(2.20357145727036120652e-3), + static_cast<RealType>(1.45412555771401325111e-4), + static_cast<RealType>(3.27819006009093198652e-6), + static_cast<RealType>(2.96786786716623870006e-8), + static_cast<RealType>(9.54192199129339742308e-11), + static_cast<RealType>(5.71421706870777687254e-14), + static_cast<RealType>(-1.48321866072033823195e-17), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.12851983233980279746e-1), + static_cast<RealType>(4.94650928817638043712e-3), + static_cast<RealType>(1.05447405092956497114e-4), + static_cast<RealType>(1.11578464291338271178e-6), + static_cast<RealType>(5.27522295397347842625e-9), + static_cast<RealType>(7.95786524903707645399e-12), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType x_cube = x * x * x; + RealType t = static_cast<RealType>((boost::math::isnormal)(x_cube) ? 1 / sqrt(x_cube) : 1 / pow(sqrt(x), 3)); + + // Rational Approximation + // Maximum Relative Error: 6.2709e-17 + BOOST_MATH_STATIC const RealType P[4] = { + static_cast<RealType>(3.98942280401432677940e-1), + static_cast<RealType>(2.89752186412133782995e-2), + static_cast<RealType>(4.67360459917040710474e0), + static_cast<RealType>(-1.26770824563800250704e-1), + }; + BOOST_MATH_STATIC const RealType Q[3] = { + static_cast<RealType>(1.), + static_cast<RealType>(7.26301023103568827709e-2), + static_cast<RealType>(1.60899894281099149848e1), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t) * t; + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_cdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 1) { + // Rational Approximation + // Maximum Relative Error: 4.7720e-37 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.33333333333333333333333333333333333333e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.38519736580901276671338330967060054188e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.07012342772403725079487012557507575976e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70163612228825567572185033570526547856e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.16393313438726572630782132625753922397e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.92141312947853945617138019222992750592e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16513062047959961711747864068554379374e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08850391017085844154857927364247623649e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07060872491334153829857156707699441084e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.56961733740920438026573722084839596926e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.93626747947476815631021107726714283086e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32967164823609209711923411113824666288e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.23420723211833268177898025846064230665e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13807083548358335699029971528179486964e-13), + }; + BOOST_MATH_STATIC const RealType Q[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00810772528427939684296334977783425582e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.24383652800043768524894854013745098654e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.64696616559657052516796844068580626381e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.62288747679271039067363492752820355369e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19311779292286492714550084942827207241e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.48436879303839576521077892946281025894e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.28665316157256311138787387605249076674e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.36350302380845433472593647100484547496e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.05835458213330488018147374864403662878e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.13919959493955187399856105325181806876e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30960533107704070411766556906543316310e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 1.6297e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.84196970581015939887507434989936103587e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.23864910443500344832158256856064580005e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.72066675347648126090497588433854314742e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.81712740200456564860442639192891089515e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.39091197181834765859741334477680768031e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.03759464781707198959689175957603165395e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15298069568149410830642785868857309358e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18910514301176322829267019223946392192e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.16851691488007921400221017970691227149e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.82031940093536875619655849638573432722e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.30042143299959913519747484877532997335e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.19848671456872291336347012756651759817e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.00479393063394570750334218362674723065e-13), + }; + BOOST_MATH_STATIC const RealType Q[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24929390929112144560152115661603117364e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.34853762543033883106055186520573363290e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.73783624941936412984356492130276742707e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.23224734370942016023173307854505597524e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.11116448823067697039703254343621931158e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.12490054037308798338231679733816982120e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.38701607014856856812627276285445001885e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10075199231657382435402462616587005087e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.43662615015322880941108094510531477066e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.37981396630189761210639158952200945512e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.55820444854396304928946970937054949160e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 2.8103e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07409273397524124098315500450332255837e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.98373054365213259465522536994638631699e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.30851284606709136235419547406278197945e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.92686617543233900289721448026065555990e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.18056394312484073294780140350522772329e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07058343449035366484618967963264380933e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71636108080692802684712497501670425230e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13155853034615230731719317488499751231e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.00070273388376168880473457782396672044e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.35528857373910910704625837069445190727e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.99897218751541535347315078577172104436e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.35092090729912631973050415647154137571e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.72220647682193638971237255396233171508e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.45008884108655511268690849420714428764e-15), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.42652074703683973183213296310906006173e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.03479786698331153607905223548719296572e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.95556520914240562719970700900964416000e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.73127917601685318803655745157828471269e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.63007065833918179119250623000791647836e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.70652732923091039268400927316918354628e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60880782675229297981880241245777122866e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.09979261868403910549978204036056659380e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.12085610111710889118562321318284539217e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59811533082647193392924345081953134304e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.37211668706684650035086116219257276925e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.62479830409039340826066305367893543134e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.22039803134898937546371285610102850458e-11), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 7.5930e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.70720199535228802537946089633331273434e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.85220706158476482443562698303252970927e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.55090221054465759649629178911450010833e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.70398047783095186291450019612979853708e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.11846661331973171721224034349719801691e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.83195024406409870789088752469490824640e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.23908312140480103249294791529383548724e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.40765128885655152415228193255890859830e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.14294523267278070539100529759317560119e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.26815059429007745850376987481747435820e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.28142945635159623618312928455133399240e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.77079683180868753715374495747422819326e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.73710011278079325323578951018770847628e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.70140037580287364298206334732060874507e-16), + }; + BOOST_MATH_STATIC const RealType Q[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36848014038411798213992770858203510748e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.15373052017549822413011375404872359177e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.92705544967513282963463451395766172671e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19899290805598090502434290420047460406e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.74002906913724742582773116667380578990e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.80632456977494447641985312297971970632e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.53381530665983535467406445749348183915e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.86606180756179817016240556949228031340e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.49594666942152749850479792402078560469e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.25231012522695972983928740617341887334e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34987086926725472733984045599487947378e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.58286136970918021841189712851698747417e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.12238357666199366902936267515573231037e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.82464168044335183356132979380360583444e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.40073718480172265670072434562833527076e-17), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 7.3609e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74847564444513000450056174922427854591e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.56842503159303803254436983444304764079e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.48504629497687889354406208309334148575e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.62327083507366120871877936416427790391e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.72062210557023828776202679230979309963e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.19153025667221102770398900522196418041e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.66248482185063262034022017727375829162e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.57390218395059632327421809878050974588e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.45520328522839835737631604118833792570e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76327978880339919462910339138428389322e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.99700625463451418394515481232159889297e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.82943476668680389338853032002472541164e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19415284760817575957617090798914089413e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17080879333540200065368097274334363537e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.09912208206107606750610288716869139753e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.98451733054622166748935243139556132704e-26), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08148065380582488495702136465010348576e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.42385352331252779422725444021027377277e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.66510412535270623169792008730183916611e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.47952712144801508762945315513819636452e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.20703092334999244212988997416711617790e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.71658889250345012472529115544710926154e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.63905601023452497974798277091285373919e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.76730409484335386334980429532443217982e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19139408077753398896224794522985050607e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.58025872548387600940275201648443410419e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.11369336267349152895272975096509109414e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.56182954522937999103610817174373785571e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.35452907177197742692545044913125982311e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.23587924912460218189929226092439805175e-17), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 9.7192e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.22684103170563193014558918295924551173e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.55222688816852408105912768186300290291e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.60747505331765587662432023547517953629e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.80463770266821887100086895337451846880e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.19190824169154471000496746227725070963e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.40646301571395681364881852739555404287e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.15408836734496798091749932018121879724e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.13676779930022341958128426888835497781e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.02435098103190516418351075792372986932e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.82018920071479061978244972592746216377e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.26435061215428679536159320644587957335e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.05298407883178633891153989998582851270e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.61156860101928352010449210760843428372e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.02156808288545876198121127510075217184e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.65549196385656698597261688277898043367e-30), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.03426141030409708635168766288764563749e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.13808987755928828118915442251025992769e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52253239792170999949444502938290297674e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33720936468171204432499390745432338841e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.08713980159883984886576124842631646880e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.43652846144339754840998823540656399165e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.02849693617024492825330133490278326951e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.14110017452008167954262319462808192536e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.01462578814695350559338360744897649915e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.73495817568046489613308117490508832084e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47445372925844096612021093857581987132e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.08200002287534174751275097848899176785e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.15305756373406702253187385797525419287e-21), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 9.7799e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.20357145727036120652264700679701054983e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.95712324967981162396595365933255312698e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.08619492652809635942960438372427086939e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.37140224583881547818087260161723208444e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.83073777522092069988595553041062506001e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.00473542739040742110568810201412321512e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.47447289601822506789553624164171452120e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.70913574957198131397471307249294758738e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.36538119628489354953085829178695645929e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00763343664814257170332492241110173166e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.62297585950798764290583627210836077239e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15780217054514513493147192853488153246e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.31961589164397397724611386366339562789e-28), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.26440207646105117747875545474828367516e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.27872879091838733280518786463281413334e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34256572873114675776148923422025029494e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.13595637397535037957995766856628205747e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33745879863685053883024090247009549434e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.41792226523670940279016788831933559977e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.03966147662273388060545199475024100492e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.62177951640260313354050335795080248910e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50650165210517365082118441264513277196e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.48413283257020741389298806290302772976e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16439276222123152748426700489921412654e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24969602890963356175782126478237865639e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.08681155203261739689727004641345513984e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.28282024196484688479115133027874255367e-30), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType x_cube = x * x * x; + RealType t = (boost::math::isnormal)(x_cube) ? 1 / sqrt(x_cube) : 1 / pow(sqrt(x), 3); + + // Rational Approximation + // Maximum Relative Error: 3.5865e-37 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[8] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.98942280401432677939946059934381868476e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.12426566605292130233061857505057433291e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.91574528280329492283287073127040983832e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.69914217884224943794012165979483573091e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30178902028403564086640591437738216288e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96515490341559353794378324810127583810e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.44343825578434751356083230369361399507e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.07224810408790092272497403739984510394e2), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.32474438135610721926278423612948794250e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27594461167587027771303292526448542806e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.49207539478843628626934249487055017677e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.75094412095634602055738687636893575929e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.51642534474780515366628648516673270623e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.05977615003758056284424652420774587813e4), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t) * t; + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_cdf_minus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x >= -1) { + RealType t = x + 1; + + // Rational Approximation + // Maximum Relative Error: 1.6964e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(4.23238998449671083670e-1), + static_cast<RealType>(4.95353582976475183891e-1), + static_cast<RealType>(2.45823281826037784270e-1), + static_cast<RealType>(7.29726507468813920788e-2), + static_cast<RealType>(1.63332856186819713346e-2), + static_cast<RealType>(2.82514634871307516142e-3), + static_cast<RealType>(2.66220579589280704089e-4), + static_cast<RealType>(3.09442180091323751049e-6), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(5.16241922223786900600e-1), + static_cast<RealType>(2.75690727171711638879e-1), + static_cast<RealType>(7.18707184893542884080e-2), + static_cast<RealType>(1.87136800286819336797e-2), + static_cast<RealType>(2.38383441176345054929e-3), + static_cast<RealType>(3.23509126477812051983e-4), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -2) { + RealType t = x + 2; + + // Rational Approximation + // Maximum Relative Error: 5.8303e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.62598955251978523175e-1), + static_cast<RealType>(2.30154661502402196205e-1), + static_cast<RealType>(1.29233975368291684522e-1), + static_cast<RealType>(3.80919553916980965587e-2), + static_cast<RealType>(8.17724414618808505948e-3), + static_cast<RealType>(1.95816800210481122544e-3), + static_cast<RealType>(3.35259917978421935141e-4), + static_cast<RealType>(1.22071311320012805777e-5), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(9.63771793313770952352e-2), + static_cast<RealType>(2.23602260938227310054e-1), + static_cast<RealType>(9.21944797677283179038e-3), + static_cast<RealType>(1.82181136341939651516e-2), + static_cast<RealType>(1.11216849284965970458e-4), + static_cast<RealType>(5.57446347676836375810e-4), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType s = exp(2 * x * x * x / 27) / sqrt(-x * x * x); + + if (x >= -4) { + RealType t = -x - 2; + + // Rational Approximation + // Maximum Relative Error: 3.6017e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(8.31806744221966404520e-1), + static_cast<RealType>(1.34481067378012055850e0), + static_cast<RealType>(9.12139427469494995264e-1), + static_cast<RealType>(3.59706159222491124928e-1), + static_cast<RealType>(9.48836332725688279299e-2), + static_cast<RealType>(1.68259594978853951234e-2), + static_cast<RealType>(1.89700733471520162946e-3), + static_cast<RealType>(1.13854052826846329787e-4), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.29694286517571741097e0), + static_cast<RealType>(7.99686735441213882518e-1), + static_cast<RealType>(3.08198207583883597188e-1), + static_cast<RealType>(7.97230139795658588972e-2), + static_cast<RealType>(1.40742142048849462162e-2), + static_cast<RealType>(1.58411440546277691506e-3), + static_cast<RealType>(9.51560785730564046338e-5), + }; + + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -8) { + RealType t = -x - 4; + + // Rational Approximation + // Maximum Relative Error: 1.3504e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.10294551528734705946e0), + static_cast<RealType>(1.26696377028973554615e0), + static_cast<RealType>(6.63115985833429688941e-1), + static_cast<RealType>(2.06289793717379095832e-1), + static_cast<RealType>(4.11977615717846276227e-2), + static_cast<RealType>(5.28620928618550859827e-3), + static_cast<RealType>(4.04328442334023561279e-4), + static_cast<RealType>(1.42364413902075896503e-5), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.09709853682665798542e0), + static_cast<RealType>(5.63687797989627787500e-1), + static_cast<RealType>(1.73604358560002859604e-1), + static_cast<RealType>(3.44985744385890794044e-2), + static_cast<RealType>(4.41683993064797272821e-3), + static_cast<RealType>(3.37834206192286709492e-4), + static_cast<RealType>(1.18951465786445720729e-5), + }; + + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -16) { + RealType t = -x - 8; + + // Rational Approximation + // Maximum Relative Error: 8.8272e-18 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(1.18246847255744057280e0), + static_cast<RealType>(8.41320657699741240497e-1), + static_cast<RealType>(2.55093097377551881478e-1), + static_cast<RealType>(4.21261576802732715976e-2), + static_cast<RealType>(3.98805044659990523312e-3), + static_cast<RealType>(2.04688276265993954527e-4), + static_cast<RealType>(4.43354791268634655473e-6), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(7.07103973315808077783e-1), + static_cast<RealType>(2.13664682181055450396e-1), + static_cast<RealType>(3.52218225168465984709e-2), + static_cast<RealType>(3.33218664347896435919e-3), + static_cast<RealType>(1.71025807471868853268e-4), + static_cast<RealType>(3.70441884597642042665e-6), + }; + + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -32) { + RealType t = -x - 16; + + // Rational Approximation + // Maximum Relative Error: 2.6236e-18 + BOOST_MATH_STATIC const RealType P[6] = { + static_cast<RealType>(1.19497306481411168356e0), + static_cast<RealType>(3.90497195765498241356e-1), + static_cast<RealType>(5.13120330037626853257e-2), + static_cast<RealType>(3.38574023921119491471e-3), + static_cast<RealType>(1.12075935888344736993e-4), + static_cast<RealType>(1.48743616420183584738e-6), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.26493785348088598123e-1), + static_cast<RealType>(4.28813205161574223713e-2), + static_cast<RealType>(2.82893073845390254969e-3), + static_cast<RealType>(9.36442365966638579335e-5), + static_cast<RealType>(1.24281651532469125315e-6), + }; + + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + result = 0; + } + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_cdf_minus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x >= -1) { + RealType t = x + 1; + + // Rational Approximation + // Maximum Relative Error: 1.0688e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.23238998449671083670041452413316011920e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.14900991369455846775267187236501987891e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.19132787054572299485638029221977944555e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.87295743700300806662745209398368996653e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.41994520703802035725356673887766112213e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.78782099629586443747968633412271291734e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.05200546520666366552864974572901349343e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.51453477916196630939702866688348310208e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15461354910584918402088506199099270742e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43371674256124419899137414410592359185e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.35849788347057186916350200082990102088e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.50359296597872967493549820191745700442e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.21838020977580479741299141050400953125e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.46723648594704078875476888175530463986e-12), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.98700317671474659677458220091101276158e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.00405631175818416028878082789095587658e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.04189939150805562128632256692765842568e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.03621065280443734565418469521814125946e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85722257874304617269018116436650330070e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.24191409213079401989695901900760076094e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.64269032641964601932953114106294883156e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19289631274036494326058240677240511431e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41389309719775603006897751176159931569e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.42000309062533491486426399210996541477e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.02436961569668743353755318268149636644e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.50130875023154569442119099173406269991e-9), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -2) { + RealType t = x + 2; + + // Rational Approximation + // Maximum Relative Error: 5.1815e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.62598955251978523174755901843430986522e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.08127698872954954678270473317137288772e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.70144997468767751317246482211703706086e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.49486603823046766249106014234315835102e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.07186495389828596786579668258622667573e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.98334953533562948674335281457057445421e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.44119017374895211020429143034854620303e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27080759819117162456137826659721634882e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.53892796920597912362370019918933112349e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.30530442651657077016130554430933607143e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.04837779538527662990102489150650534390e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.94354615171320374997141684442120888127e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.30746545799073289786965697800049892311e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.41870129065056783732691371215602982173e-9), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.75919235734607601884356783586727272494e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.57656678936617227532275100649989944452e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.72617552401870454676736869003112018648e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.59238104942208254162102314312757621047e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.06040513359343987972917295603514840777e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.26922840063034349024167652148593396307e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.25628506630180107357627955876231943531e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.81600387497542714853225329159728694926e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.08210973846891324886779444820838563800e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.68632477858150229792523037059221563861e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.43542789104866782087701759971538600076e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.70594730517167328271953424328890849790e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.30162314557860623869079601905904538470e-9), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType s = exp(2 * x * x * x / 27) / sqrt(-x * x * x); + + if (x >= -4) { + RealType t = -x - 2; + + // Rational Approximation + // Maximum Relative Error: 6.4678e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.31806744221966404520449104514474066823e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.50292887071777664663197915067642779665e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.45140067157601150721516139901304901854e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.93227973605511286112712730820664209900e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74259108933048973391560053531348126900e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.77677252890665602191818487592154553094e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.71843197238558832510595724454548089268e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.62811778285151415483649897138119310816e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74127763877120261698596916683136227034e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.24832552591462216226478550702845438540e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.93381036027487259940171548523889481080e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.02261328789519398745019578211081412570e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.75409238451885381267277435341417474231e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.09526311389365895099871581844304449319e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96371756262605118060185816854433322493e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.88472819535099746216179119978362211227e-10), + }; + BOOST_MATH_STATIC const RealType Q[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.68923525157720774962908922391133419863e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.40714902096062779527207435671907059131e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.73120596883364361220343183559076165363e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.56331267512666685349409906638266569733e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.80956276267438042306216894159447642323e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.34213468750936211385520570062547991332e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.50081600968590616549654807511166706919e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47297208240850928379158677132220746750e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.73392976579560287571141938466202325901e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.13858821123741335782695407397784840241e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.04103497389656828224053882850778186433e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.81040189127998139689091455192659191796e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.42176283104790992634826374270801565123e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.64077137545614380065714904794220228239e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.08139724991616322332901357866680220241e-10), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -8) { + RealType t = -x - 4; + + // Rational Approximation + // Maximum Relative Error: 3.5975e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10294551528734705945662709421382590676e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.26135857114883288617323671166863478751e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.23504465936865651893193560109437792738e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41598983788870071301270649341678962009e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.43871304031224174103636568402522086316e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22745720458050596514499383658714367529e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.05976431838299244997805790000128175545e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32087500190238014890030606301748111874e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.32754445514451500968404092049839985196e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.31866016448921762610690552586049011375e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.80197257671079297305525087998125408939e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.44212088947602969374978384512149432847e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.38857170416924025226203571589937286465e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20239999218390467567339789443070294182e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.93965060142992479149039624149602039394e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.36407983918582149239548869529460234702e-12), + }; + BOOST_MATH_STATIC const RealType Q[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.99867960957804580209868321228347067213e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.94236623527818880544030470097296139679e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21644866845440678050425616384656052588e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.48653919287388803523090727546630060490e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.88696531788490258477870877792341909659e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.11157356307921406032115084386689196255e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11071149696069503480091810333521267753e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.95274844731679437274609760294652465905e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.77971280158253322431071249000491659536e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.18092258028773913076132483326275839950e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.87773088535057996947643657676843842076e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.99609277781492599950063871899582711550e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00465660598924300723542908245498229301e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.29174652982710100418474261697035968379e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.31746082236506935340972706820707017875e-12), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -16) { + RealType t = -x - 8; + + // Rational Approximation + // Maximum Relative Error: 2.6792e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18246847255744057280356900905660312795e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.77955886026107125189834586992142580148e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24948425302263641813107623611637262126e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.42593662659560333324287312162818766556e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.62714138002904073145045478360748042164e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.56008984285541289474850396553042124777e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.84858048549330525583286373950733005244e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.30578460156038467943968005946143934751e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.93974868941529258700281962314167648967e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.95086664204515648622431580749060079100e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.57811968176644056830002158465591081929e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.27814751838906948007289825582251221538e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.06762893426725920159998333647896590440e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.15388861641344998301210173677051088515e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.83956842740198388242245209024484381888e-29), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50056124032615852703112365430040751173e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05112559537845833793684655693572118348e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.55609497026127521043140534271852131858e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36430652394614121156238070755223942728e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.98167215021940993097697777547641188697e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.89418831310297071347013983522734394061e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.10980717618462843498917526227524790487e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.80119618735773019675212434416594954984e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.13748676086657187580746476165248613583e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.15424395860921826755718081823964568760e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.75228896859720124469916340725146705309e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.72759238269315282789451836388878919387e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.79966603543593799412565926418879689461e-12), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -32) { + RealType t = -x - 16; + + // Rational Approximation + // Maximum Relative Error: 2.1744e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19497306481411168355692832231058399132e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.15593166681833539521403250736661720488e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.54020260738207743315755235213180652303e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.76467972857585566189917087631621063058e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.97922795572348613358915532172847895070e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.26998967192207380100354278434037095729e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.32827180395699855050424881575240362199e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50587178182571637802022891868380669565e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.78252548290929962236994183546354358888e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01519297007773622283120166415145520855e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29602226691665918537895803270497291716e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.53666531487585211574942518181922132884e-14), + }; + BOOST_MATH_STATIC const RealType Q[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.82230649578130958108098853863277631065e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.12412482738973738235656376802445565005e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.98320116955422615960870363549721494683e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.99756654189000467678223166815845628725e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.40414942475279981724792023159180203408e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.78118445466942812088955228016254912391e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.25827002637577602812624580692342616301e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.99604467789028963216078448884632489822e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.48237134334492289420105516726562561260e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08288201960155447241423587030002372229e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.29720612489952110448407063201146274502e-14), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x >= -64) { + RealType t = -x - 32; + + // Rational Approximation + // Maximum Relative Error: 3.4699e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[10] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19659414007358083585943280640656311534e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.36969140730640253987817932335415532846e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.21946928005759888612066397569236165853e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.08341720579009422518863704766395201498e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44908614491286780138818989614277172709e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.54172482866925057749338312942859761961e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.49281630950104861570255344237175124548e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27586759709416364899010676712546639820e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00054716479138657682306851175059678989e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.48798342894235412426464893852098239746e-14), + }; + BOOST_MATH_STATIC const RealType Q[10] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.81588658109851219975949691772676519853e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.52583331848892383968186924120872369151e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.57644670426430994363913234422346706991e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21080164634428298820141591419770346977e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.79484074949580980980061103238709314326e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.93167250146504946763386377338487557826e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06604193118724797924138056151582242604e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.35999937789324222934257460080153249173e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.91435929481043135336094426837156247599e-14), + }; + // LCOV_EXCL_STOP + result = s * tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + result = 0; + } + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_cdf_imp_prec(const RealType& x, bool complement, const boost::math::integral_constant<int, 53>& tag) { + if (x >= 0) { + return complement ? mapairy_cdf_plus_imp_prec(x, tag) : 1 - mapairy_cdf_plus_imp_prec(x, tag); + } + else if (x <= 0) { + return complement ? 1 - mapairy_cdf_minus_imp_prec(x, tag) : mapairy_cdf_minus_imp_prec(x, tag); + } + else { + return boost::math::numeric_limits<RealType>::quiet_NaN(); + } +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_cdf_imp_prec(const RealType& x, bool complement, const boost::math::integral_constant<int, 113>& tag) { + if (x >= 0) { + return complement ? mapairy_cdf_plus_imp_prec(x, tag) : 1 - mapairy_cdf_plus_imp_prec(x, tag); + } + else if (x <= 0) { + return complement ? 1 - mapairy_cdf_minus_imp_prec(x, tag) : mapairy_cdf_minus_imp_prec(x, tag); + } + else { + return boost::math::numeric_limits<RealType>::quiet_NaN(); + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_cdf_imp(const mapairy_distribution<RealType, Policy>& dist, const RealType& x, bool complement) { + // + // This calculates the cdf of the Map-Airy distribution and/or its complement. + // + + BOOST_MATH_STD_USING // for ADL of std functions + constexpr auto function = "boost::math::cdf(mapairy<%1%>&, %1%)"; + RealType result = 0; + RealType location = dist.location(); + RealType scale = dist.scale(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + if (false == detail::check_x(function, x, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Map-Airy distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + RealType u = (x - location) / scale; + + result = mapairy_cdf_imp_prec(u, complement, tag_type()); + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_quantile_lower_imp_prec(const RealType& p, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (p >= 0.375) { + RealType t = p - static_cast <RealType>(0.375); + + // Rational Approximation + // Maximum Relative Error: 1.5488e-18 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(-1.17326074020471664075e0), + static_cast<RealType>(1.51461298154568349598e0), + static_cast<RealType>(1.19979368094343490487e1), + static_cast<RealType>(-5.94882121521324108164e0), + static_cast<RealType>(-2.20619749774447254528e1), + static_cast<RealType>(7.17766543775229176131e0), + static_cast<RealType>(4.79284243496552841508e0), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.76268072706610602584e0), + static_cast<RealType>(-4.88492535243404839734e0), + static_cast<RealType>(-5.67524172432687656881e0), + static_cast<RealType>(6.83327389947131710596e0), + static_cast<RealType>(2.91338085774159042709e0), + static_cast<RealType>(-1.41108918944159283950e0), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.25) { + RealType t = p - static_cast <RealType>(0.25); + + // Rational Approximation + // Maximum Relative Error: 7.5181e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(-1.63281240925531302762e0), + static_cast<RealType>(-4.92351310795930780147e0), + static_cast<RealType>(1.43448529253101759409e1), + static_cast<RealType>(3.33182629948094299473e1), + static_cast<RealType>(-3.06679026539368582747e1), + static_cast<RealType>(-2.87298447423841965301e1), + static_cast<RealType>(1.31575930750093554120e1), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1.), + static_cast<RealType>(5.38761652244702318296e0), + static_cast<RealType>(2.40932080746189543284e0), + static_cast<RealType>(-1.69465870062123632126e1), + static_cast<RealType>(-6.39998944283654848809e0), + static_cast<RealType>(1.27168434054332272391e1), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.125) { + RealType t = p - static_cast <RealType>(0.125); + + // Rational Approximation + // Maximum Relative Error: 2.3028e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-2.18765177572396469657e0), + static_cast<RealType>(-3.65752788934974426531e1), + static_cast<RealType>(-1.81144810822028903904e2), + static_cast<RealType>(-1.22434531262312950288e2), + static_cast<RealType>(8.99451018491165823831e2), + static_cast<RealType>(9.11333307522308410858e2), + static_cast<RealType>(-8.76285742384616909177e2), + static_cast<RealType>(-2.33786726970025938837e2), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.91797638291395345792e1), + static_cast<RealType>(1.24293724082506952768e2), + static_cast<RealType>(2.82393116012902543276e2), + static_cast<RealType>(-1.80472369158936285558e1), + static_cast<RealType>(-5.31764390192922827093e2), + static_cast<RealType>(-5.60586018315854885788e1), + static_cast<RealType>(1.21284324755968033098e2), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -4) { + RealType t = -log2(ldexp(p, 3)); + + // Rational Approximation + // Maximum Relative Error: 6.1147e-18 + BOOST_MATH_STATIC const RealType P[6] = { + static_cast<RealType>(-2.18765177572396470773e0), + static_cast<RealType>(-2.19887766409334094428e0), + static_cast<RealType>(-7.77080107207360785208e-1), + static_cast<RealType>(-1.15551765136654549650e-1), + static_cast<RealType>(-6.64711321022529990367e-3), + static_cast<RealType>(-9.74212491048543799073e-5), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1.), + static_cast<RealType>(7.91919722132624625590e-1), + static_cast<RealType>(2.17415447268626558639e-1), + static_cast<RealType>(2.41474762519410575392e-2), + static_cast<RealType>(9.41084107182696904714e-4), + static_cast<RealType>(6.65754108797614202364e-6), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -8) { + RealType t = -log2(ldexp(p, 4)); + + // Rational Approximation + // Maximum Relative Error: 2.0508e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-2.59822399410385085335e0), + static_cast<RealType>(-2.24306757759003016244e0), + static_cast<RealType>(-7.36208578161752060979e-1), + static_cast<RealType>(-1.15130762650287391576e-1), + static_cast<RealType>(-8.77652386123688618995e-3), + static_cast<RealType>(-2.96358888256575251437e-4), + static_cast<RealType>(-3.33661282483762192446e-6), + static_cast<RealType>(-4.19292241201527861927e-9), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(7.23065798041556418844e-1), + static_cast<RealType>(1.96731305131315877264e-1), + static_cast<RealType>(2.49952034298034383781e-2), + static_cast<RealType>(1.49149568322111062242e-3), + static_cast<RealType>(3.66010398525593921460e-5), + static_cast<RealType>(2.46857713549279930857e-7), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -16) { + RealType t = -log2(ldexp(p, 8)); + + // Rational Approximation + // Maximum Relative Error: 2.1997e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-3.67354365380697580447e0), + static_cast<RealType>(-1.52181685844845957618e0), + static_cast<RealType>(-2.40883948836320845233e-1), + static_cast<RealType>(-1.82424079258401987512e-2), + static_cast<RealType>(-6.75844978572417703979e-4), + static_cast<RealType>(-1.11273358356809152121e-5), + static_cast<RealType>(-6.12797605223700996671e-8), + static_cast<RealType>(-3.78061321691170114390e-11), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.57770840766081587688e-1), + static_cast<RealType>(4.81290550545412209056e-2), + static_cast<RealType>(3.02079969075162071807e-3), + static_cast<RealType>(8.89589626547135423615e-5), + static_cast<RealType>(1.07618717290978464257e-6), + static_cast<RealType>(3.57383804712249921193e-9), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -32) { + RealType t = -log2(ldexp(p, 16)); + + // Rational Approximation + // Maximum Relative Error: 2.4331e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-4.92187819510636697128e0), + static_cast<RealType>(-9.94924018698264727979e-1), + static_cast<RealType>(-7.69914962772717316098e-2), + static_cast<RealType>(-2.85558010159310978248e-3), + static_cast<RealType>(-5.19022578720207406789e-5), + static_cast<RealType>(-4.19975546950263453259e-7), + static_cast<RealType>(-1.13886013623971006760e-9), + static_cast<RealType>(-3.46758191090170732580e-13), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.77270673840643360017e-1), + static_cast<RealType>(1.18099604045834575786e-2), + static_cast<RealType>(3.66889581757166584963e-4), + static_cast<RealType>(5.34484782554469770841e-6), + static_cast<RealType>(3.19694601727035291809e-8), + static_cast<RealType>(5.24649233511937214948e-11), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -64) { + RealType t = -log2(ldexp(p, 32)); + + // Rational Approximation + // Maximum Relative Error: 2.7742e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-6.41443550638291133784e0), + static_cast<RealType>(-6.38369359780748328332e-1), + static_cast<RealType>(-2.43420704406734621618e-2), + static_cast<RealType>(-4.45274771094277987075e-4), + static_cast<RealType>(-3.99529078051262843241e-6), + static_cast<RealType>(-1.59758677464731620413e-8), + static_cast<RealType>(-2.14338367751477432622e-11), + static_cast<RealType>(-3.23343844538964435927e-15), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(8.79845511272943785289e-2), + static_cast<RealType>(2.90839059356197474893e-3), + static_cast<RealType>(4.48172838083912540123e-5), + static_cast<RealType>(3.23770691025690100895e-7), + static_cast<RealType>(9.60156044379859908674e-10), + static_cast<RealType>(7.81134095049301988435e-13), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -128) { + RealType t = -log2(ldexp(p, 64)); + + // Rational Approximation + // Maximum Relative Error: 3.2451e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-8.23500806363233610938e0), + static_cast<RealType>(-4.05652655284908839003e-1), + static_cast<RealType>(-7.65978833819859622912e-3), + static_cast<RealType>(-6.94194676058731901672e-5), + static_cast<RealType>(-3.08771646223818451436e-7), + static_cast<RealType>(-6.12443207313641110962e-10), + static_cast<RealType>(-4.07882839359528825925e-13), + static_cast<RealType>(-3.05720104049292610799e-17), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(4.37395212065018405474e-2), + static_cast<RealType>(7.18654254114820140590e-4), + static_cast<RealType>(5.50371158026951899491e-6), + static_cast<RealType>(1.97583864365011234715e-8), + static_cast<RealType>(2.91169706068202431036e-11), + static_cast<RealType>(1.17716830382540977039e-14), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -256) { + RealType t = -log2(ldexp(p, 128)); + + // Rational Approximation + // Maximum Relative Error: 3.8732e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-1.04845570631944023913e1), + static_cast<RealType>(-2.56502856165700644836e-1), + static_cast<RealType>(-2.40615394566347412600e-3), + static_cast<RealType>(-1.08364601171893250764e-5), + static_cast<RealType>(-2.39603255140022514289e-8), + static_cast<RealType>(-2.36344017673944676435e-11), + static_cast<RealType>(-7.83146284114485675414e-15), + static_cast<RealType>(-2.92218240202835807955e-19), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(2.17740414929742679904e-2), + static_cast<RealType>(1.78084231709097280884e-4), + static_cast<RealType>(6.78870668961146609668e-7), + static_cast<RealType>(1.21313439060489363960e-9), + static_cast<RealType>(8.89917934953781122884e-13), + static_cast<RealType>(1.79115540847944524599e-16), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -512) { + RealType t = -log2(ldexp(p, 256)); + + // Rational Approximation + // Maximum Relative Error: 4.6946e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-1.32865827226175698181e1), + static_cast<RealType>(-1.61802434199627472010e-1), + static_cast<RealType>(-7.55642602577784211259e-4), + static_cast<RealType>(-1.69457608092375302291e-6), + static_cast<RealType>(-1.86612389867293722402e-9), + static_cast<RealType>(-9.17015770142364635163e-13), + static_cast<RealType>(-1.51422473889348610974e-16), + static_cast<RealType>(-2.81661279271583206526e-21), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.08518414679241420227e-2), + static_cast<RealType>(4.42335224797004486239e-5), + static_cast<RealType>(8.40387821972524402121e-8), + static_cast<RealType>(7.48486746424527560620e-11), + static_cast<RealType>(2.73676810622938942041e-14), + static_cast<RealType>(2.74588200481263214866e-18), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -1024) { + RealType t = -log2(ldexp(p, 512)); + + // Rational Approximation + // Maximum Relative Error: 5.7586e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(-1.67937186583822375593e1), + static_cast<RealType>(-1.01958138247797604098e-1), + static_cast<RealType>(-2.37409774265951876695e-4), + static_cast<RealType>(-2.65483321307104128810e-7), + static_cast<RealType>(-1.45803536947907216594e-10), + static_cast<RealType>(-3.57375116523338994342e-14), + static_cast<RealType>(-2.94401318006358820268e-18), + static_cast<RealType>(-2.73260616170245224789e-23), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(5.41357843707822974161e-3), + static_cast<RealType>(1.10082540037527566536e-5), + static_cast<RealType>(1.04338126042963003178e-8), + static_cast<RealType>(4.63619608458569600346e-12), + static_cast<RealType>(8.45781310395535984099e-16), + static_cast<RealType>(4.23432554226506409568e-20), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + result = -boost::math::numeric_limits<RealType>::infinity(); + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_quantile_lower_imp_prec(const RealType& p, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (p >= 0.4375) { + RealType t = p - static_cast <RealType>(0.4375); + + // Rational Approximation + // Maximum Relative Error: 4.2901e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[10] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.48344198262277235851026749871350753173e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.18249834490570496537675012473572546187e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20191368895639224466285643454767208281e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.88388953372157636908236843798588258539e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.59477796311326067051769635858472572709e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.88799146700484120781026039104654730797e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.15708831983930955608517858269193800412e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.01389336086567891484877690859385409842e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.16683694881010716925933071465043323946e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.04356966421177683585461937085598186805e1), + }; + BOOST_MATH_STATIC const RealType Q[11] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.75444066345435020043849341970820565274e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.95105673975812427406540024601734210826e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.20381124524894051002242766595737443257e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.48370658634610329590305283520183480026e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.52213602242009530270284305006282822794e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.91028722773916006242187843372209197705e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.76130245344411748356977700519731978720e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30834721900169773543149860814908904224e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.37863084758381651884340710544840951679e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.46880981703613838666108664771931239970e0), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.375) { + RealType t = p - static_cast <RealType>(0.375); + + // Rational Approximation + // Maximum Relative Error: 2.8433e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[11] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.17326074020471664204142312429732771661e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.23412560010002723970559712941124583385e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83665111310407767293290698145068379130e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.38459476870110655357485107373883403534e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.28751995328228442619291346921055105808e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.31663592034507247231393516167247241037e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.13629333446941271397790762651183997586e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.80674058829101054663235662701823250421e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.53226182094253065852552393446365315319e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.14713948941614711932063053969010219677e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.62979741122708118776725634304028246971e0), + }; + BOOST_MATH_STATIC const RealType Q[10] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.10550060286464202595779024353437346419e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.15893254630199957990897452211066782021e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.58964066823516762861256609311733069353e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.73352515261971291505497909338586980605e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.64737859211974163695241658186141083513e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.79137714768236053008878088337762178011e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.71851514659301019977259792564627124877e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.37210093190088984630526671624779422232e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06793750951779308425209267821815264457e1), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.25) { + RealType t = p - static_cast <RealType>(0.25); + + // Rational Approximation + // Maximum Relative Error: 5.9072e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.63281240925531315038207673147576291783e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.72733898245766165408685147762489513406e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.48666841594842113608962500631836790675e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.38711336213357101067420572773139678571e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.19536066931882831915715343914510496760e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70911330354860558400876197129777829223e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.46138758869321272507090399082047865434e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.42653825421465476333482312795245170700e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.68040069633027903153088221686431049116e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.63017854949929226947577854802720988740e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.57362168966659376351959631576588023516e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.48386631313725080746815524770260451090e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.03293129698111279047104766073456412318e1), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29511778027351594854005887702013466376e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.66155745848864270109281703659789474448e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.25628362783798417463294553777015370203e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.93162726153946899828589402901015679821e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.51582398149308841534372162372276623400e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.55512400116480727630652657714109740448e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.11949742749256615588470329024257669470e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.28090154738508864776480712360731968283e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.44307717248171941824014971579691790721e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.33595130666758203099507440236958725924e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.76156378002782668186592725145930755636e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.70446647862725980215630194019740606935e0), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.125) { + RealType t = p - static_cast <RealType>(0.125); + + // Rational Approximation + // Maximum Relative Error: 9.9092e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.18765177572396470161180571018467019660e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.16991481696416567893311341049825218287e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.25497491118598918048058751362064598010e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.00259915194411316966036757165146681474e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.20350803730836873687692010728689867756e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.75441278117456011071671644613599089820e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18844967505497310645091822621081741562e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.84771867850847121528386231811667556346e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.78112436422992766542256241612018834150e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.82617957794395420193751983521804760378e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.77260227244465268981198741998181334875e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.61918290776044518321561351472048170874e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.10309368217936941851272359946015001037e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.68917274690585744147547352309416731690e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.96914697182030973966321601422851730384e4), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.98063872144867195074924232601423646991e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.65911346382127464683324945513128779971e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.02451223307009464199634546540152067898e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.12662676019712475980273334769644047369e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.77637305574675655673572303462430608857e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.65900204382557635710258095712789133767e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.61649498173261886264315880770449636676e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.29867325788870863753779283018061152414e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.31375646045453788071216808289409712455e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.91053361331987954531162452163243245571e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.30917504462260061766689326034981496723e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.95779171217851232246427282884386844906e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.07234815204245866330282860014624832711e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21353269292094971546479026200435095695e4), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -4) { + RealType t = -log2(ldexp(p, 3)); + + // Rational Approximation + // Maximum Relative Error: 3.9653e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[11] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.18765177572396470161180571018467025793e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.94718878144788678915739777385667044494e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.01760622104142726407095836139719210570e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.27585388152893587017559610649258643106e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.26494992809545184138230791849722703452e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.19962820888633928632710264415572027960e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.10249328404135065767844288193594496173e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.94733898567966142295343935527193851633e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.10350856810280579594619259121755788797e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.23852908701349250480831167491889740823e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.61008160195204632725691076288641221707e-10), + }; + BOOST_MATH_STATIC const RealType Q[11] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59109221235949005113322202980300291082e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07119192591092503378838510797916225920e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.97313678065269932508447079892684333156e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.85743007214453288049750256975889151838e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21504290861269099964963866156493713716e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00880286431998922077891394903879512720e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.78806057460269900288838437267359072282e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15390284861815831078443996558014864171e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.09877166004503937701692216421704042881e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.01544823753120969225271131241177003165e-11), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -8) { + RealType t = -log2(ldexp(p, 4)); + + // Rational Approximation + // Maximum Relative Error: 6.7872e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.59822399410385083283727681965013517187e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.30676107401101401386206170152508285083e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.14999782004905950712290914501961213222e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.33941786334132569296061539102765384372e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.67220197146826865151515598496049341734e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.80553562310354708419148501358813792297e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.69365728863553037992854715314245847166e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.66571611322125393586164383361858996769e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.60112572827002965346926427208336150737e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.82368436189138780270310776927920829805e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.53112953085778860983110669544602606343e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.47363651755817041383574210879856850108e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.56959356177318833325064543662295824581e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.16259632533790175212174199386945953139e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.51102540845397821195190063256442894688e-18), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.51733661576324699382035973518172469602e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01435607980568082538278883569729476204e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.93274478117803447229185270863587786287e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.79695020433868416640781960667235896490e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.64179255575983014759473815411232853821e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.88411076775875459504324039642698874213e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47924359965537384942568979646011627522e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.80915944234873904741224397674033111178e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.67530059257263142305079790717032648103e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.59778634436027309520742387952911132163e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.45772841855129835242992919296397034883e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.40356170422999016176996652783329671363e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.31127037096552892520323998665757802862e-16), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -16) { + RealType t = -log2(ldexp(p, 8)); + + // Rational Approximation + // Maximum Relative Error: 7.6679e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.67354365380697578246790709817724831418e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.98681625368564496421038758088088788795e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.07310677200866436332040539417232353673e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.24429836496456823308103613923194387860e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.02985399190977938381625172095575017346e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.76782196972948240235456454778537838123e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.74449002785643398012450514191731166637e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.59599894044461264694825875303563328822e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.25326249969126313897827328136779597159e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.41714701672521323699602179629851858792e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.43197925999694667433180053594831915164e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.84385683045691486021670951412023644809e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.34484740544060627138216383389282372695e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.69717198111130468014375331439613690658e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.54464319402577486444841981479085908190e-22), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.56568169258142086426383908572004868200e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.52144703581828715720555168887427064424e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.87268567039210776554113754014224005739e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.04907480436107533324385788289629535047e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.05063218951887755000006493061952858632e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.88707869862323507236241669797692957827e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.12876335369047582931728838551780783006e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.96657547014655679104867167083078285517e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.05799908632250375607393338998205481867e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.26543514080500125624753383852230043206e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.02102501711063497529014782040893679505e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.91577723105757841509716090936343311518e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.13824283239122976911704652025193325941e-20), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -32) { + RealType t = -log2(ldexp(p, 16)); + + // Rational Approximation + // Maximum Relative Error: 8.6323e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.92187819510636694694450607724165689649e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.97763858433958798529675258052376253402e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.51315096979196319830162238831654165509e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.63462872759639470195664268077372442947e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.42843455093529447002457295994721102683e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.09839699044798405685726233251577671229e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.42918585783783247934440868680748693033e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.39927851612709063686969934343256912856e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.08811978806833318962489621493456773153e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.05790315329766847040100971840989677130e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.45479905512618918078640786598987515012e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.26725031195260767541308143946590024995e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.93921283405116349017396651678347306610e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.46989755992471397407520449698676945629e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.84098833615882764168840211033822541979e-26), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.76933186134913044021577076301874622292e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.25794095712489484166470336696962749356e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.02367257449622569623375613790000874499e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.72422948147678152291655497515112236849e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.54841786738844966378222670550160421679e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.40690766057741905625149753730480294357e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.57722740290698689456097239435447030950e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.12202417878861628530322715231540006386e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.52053248659561670052645118655279630611e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.93156242508301535729374373870786335203e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.40767922796889118151219837068812449420e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83472702205100162081157644960354192597e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.07575352729625387198150555665307193572e-24), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -64) { + RealType t = -log2(ldexp(p, 32)); + + // Rational Approximation + // Maximum Relative Error: 9.8799e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.41443550638291131009585191506467028820e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.27887396494095561461365753577189254063e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.12752633002089885479040650194288302309e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.79073355729340068320968150408320521772e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.92104558368762745368896313096467732214e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.31521786147036353766882145733055166296e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.69209485282228501578601478546441260206e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.17440286764020598209076590905417295956e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.24323354132100896221825450145208350291e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.53395893728239001663242998169841168859e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.68737623513761169307963299679882178852e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.34293243065056704017609034428511365032e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.16077944943653158589001897848048630079e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.62195354664281744711336666974567406606e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.34400562353945663460416286570988365992e-30), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.87838171063584994806998206766890809367e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.55395225505766120991458653457272783334e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.45282436421694718640472363162421055686e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29570159526914149727970023744213510609e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.75502365627517415214497786524319814617e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.74140267916464056408693097635546173776e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.53554952415602030474322188152855226456e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.25818606585833092910042975933757268581e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.79945579370700383986587672831350689541e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.64188969985517050219881299229805701044e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.59811800080967790439078895802795103852e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.28225402720788909349967839966304553864e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.22313199865592821923485268860178384308e-28), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -128) { + RealType t = -log2(ldexp(p, 64)); + + // Rational Approximation + // Maximum Relative Error: 1.1548e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.23500806363233607692361021471929016922e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.16747938711332885952564885548768072606e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.58252672740225210061031286151136185818e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.15477223656783400505701577048140375949e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.51130817987857130928725357067032472382e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.68955185187558206711296837951129048907e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.30418343536824247801373327173028702308e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.96029044368524575193330776540736319950e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.53259926294848786440686413056632823519e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.09476918795964320022985872737468492126e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.20864569882477440934325776445799604204e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.01321468510611172635388570487951907905e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.45079221107904118975166347269173516170e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.36559452694774774399884349254686988041e-30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.92396730553947142987611521115040472261e-35), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.36599681872296382199486815169747516110e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.86330544720458446620644055149504593514e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.23793435123936109978741252388806998743e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41867848381419339587560909646887411175e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46493580168298395584601073832432583371e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.03537470107933172406224278121518518287e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.00375884189083338846655326801486182158e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.62515041281615938158455493618149216047e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.42337949780187570810208014464208536484e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.40196890950995648233637422892711654146e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.11894256193449973803773962108906527772e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00900961462911160554915139090711911885e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.65825716532665817972751320034032284421e-32), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -256) { + RealType t = -log2(ldexp(p, 128)); + + // Rational Approximation + // Maximum Relative Error: 1.3756e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.04845570631944023525776899386112795330e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.18146685146173151383718092529868406030e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.13255476532916847606354932879190731233e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.44228173780288838603949849889291143631e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.18663599891768480607165516401619315227e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.61193813386433438633008774630150180359e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.54402603714659392010463991032389692959e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.76816632514967325885563032378775486543e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.22774672528068516513970610441705738842e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.47312348271366325243169398780745416279e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.10984325972747808970318612951079014854e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.81620524028936785168005732104270722618e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.03443227423068771484783389914203726108e-29), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.02313300749670214384591200940841254958e-34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.40321396496046206171642334628524367374e-39), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.67292043485384876322219919215413286868e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.61652550158809553935603664087740554258e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14722810796821047167211543031044501921e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.78954660078305461714050086730116257387e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.52794892087101750452585357544956835504e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59652255206657812422503741672829368618e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.84914442937017449248597857220675602148e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.23662183613814475007146598734598810102e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.55388618781592901470236982277678753407e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.20418178834057564300014964843066904024e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48606639104883413456676877330419513129e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.39845313960416564778273486179935754019e-31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14538443937605324316706211070799970095e-35), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -512) { + RealType t = -log2(ldexp(p, 256)); + + // Rational Approximation + // Maximum Relative Error: 1.6639e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.32865827226175697711590794217590458484e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.27551166309670994513910580518431041518e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.57161482253140058637495100797888501265e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.26908727392152312216118985392395130974e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.31391169101865809627389212651592902649e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.58926174475498352884244229017384309804e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.97074898765380614681225071978849430802e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.59852103341093122669197704225736036199e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.97287954178083606552531325613580819555e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.57634773176875526612407357244997035312e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.34467233210713881817055138794482883359e-25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.91236170873875898506577053309622472122e-29), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.12220990075567880730037575497818287435e-33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.20881889651487527801970182542596258873e-37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.56848486878078288956741060120464349537e-43), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.33267370502089423930888060969568705647e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.39632352029900752622967578086289898150e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.42703739831525305516280300008439396218e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.45767617531685380458878368024246654652e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.40344962756110545138002101382437142038e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.47015258371290492450093115369080460499e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.97280918936580227687603348219414768787e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.40441024286579579491205384492088325576e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.26130000914236204012152918399995098882e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.03893990417552709151955156348527062863e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.12687002255767114781771099969545907763e-31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.74218645918961186861014420578277888513e-35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36897549168687040570349702061165281706e-39), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -1024) { + RealType t = -log2(ldexp(p, 512)); + + // Rational Approximation + // Maximum Relative Error: 2.0360e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.67937186583822375017526293948703697225e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.06681764321003187068904973985967908140e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.12508887240195683379004033347903251977e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.56847823157999127998977939588643284176e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.31281869105767454049413701029676766275e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.01498951390503036399081209706853095793e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.72866867304007090391517734634589972858e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.44819806993104486828983054294866921869e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.91441365806306460165885645136864045231e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.71364347097027340365042558634044496149e-25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.63601648491144929836375956218857970640e-28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.76948956673676441236280803645598939735e-32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.47367651137203634311843318915161504046e-37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.83187517541957887917067558455828915184e-41), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.21480186561579326423946788448005430367e-47), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16494591376838053609854716130343599036e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.97651667629616309497454026431358820357e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.77741398674456235952879526959641925087e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.39478109667902532743651043316724748827e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.35965905056304225411108295866332882930e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.83206524996481183422082802793852630990e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30320324476590103123012385840054658401e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.30322948189714718819437477682869360798e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.43729790298535728717477691270336818161e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.89788697114251966298674871919685298106e-30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.43510901856942238937717065880365530871e-34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.38232043389918216652459244727737381677e-38), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.64599465785019268214108345671361994702e-43), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -2048) { + RealType t = -log2(ldexp(p, 1024)); + + // Rational Approximation + // Maximum Relative Error: 2.5130e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.11959316095291435774375635827672517008e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.30292575371366023255165927527306483022e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.54260157439166096303943109715675142318e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.61232819199170639867079290977704351939e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.74481972848503486840161528924694379655e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.98283577906243441829434029827766571263e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.90691715740583828769850056130458574520e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.31354728925505346732804698899977180508e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.42545288372836698650371589645832759416e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.12901629676328680681102537492164204387e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.99690040253176100731314099573187027309e-31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.07899506956133955785140496937520311210e-35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.88607240095256436460507438213387199067e-40), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.78815984551154095621830792130401294111e-45), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.20516030880916148179297554212609531432e-51), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.81973541224235020744673910266545976833e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.49156990107280109344880219729275939242e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21606730563542176411852745162267260946e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.11449329529433741944366607648360521674e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.35659138507940819452801802756409587220e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.95708516718550485872934856595725983907e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.78871290972777009292563576533612002908e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.60955318960542258732596447917271198307e-25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.72437581728117963125690670426402194936e-29), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.77473938855958487119889840032590783232e-33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.66198494713809467076392278745811981500e-37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.34142897042941614778352280692901008538e-42), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.98791658647635156162347063765388728959e-47), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -4096) { + RealType t = -log2(ldexp(p, 2048)); + + // Rational Approximation + // Maximum Relative Error: 3.1220e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.67307564006689676593687414536012112755e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.21005690250741024744367516466433711478e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.11537345869365655126739041291119096558e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.82910297156061391001507891422501792453e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.51574933516708249049824513935386420692e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.56433757960363802088718489136097249753e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.74248235865301086829849817739500215149e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.19151506367084295119369434315371762091e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.98518959000360170320183116510466814569e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.21330422702314763225472001861559380186e-30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.44346922987964428874014866468161821471e-34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.59773305152191273570416120169527607421e-39), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.81894412321532723356954669501665983316e-44), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.25766346856943928908756472385992861288e-49), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.44601448994095786447982489957909713982e-55), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.90814053669730896497462224007523900520e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.72450689508305973756255440356759005330e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.76517273086984384225845151573287252506e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31844251885317815627707511621078762352e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.22689324865113257769413663010725436393e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.27524826460469866934006001123700331335e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39172850948322201614266822896191911031e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.40343613937272428197414545004329993769e-27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.17936773028976355507339458927541970545e-32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.66512598049860260933817550698863263184e-36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.06432209670481882442649684139775366719e-41), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.10247886333916820534393624270217678968e-46), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.40899321122058714028548211810431871877e-51), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -8192) { + RealType t = -log2(ldexp(p, 4096)); + + // Rational Approximation + // Maximum Relative Error: 3.8974e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.36960987939726803544369406181770745475e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.17239311695985070524235502979761682692e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.51192208811996535244435318068035492922e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.38938553034896173195617671475670860841e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.55156910900732478717648524688116855303e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.14905040433940475292279950923000597280e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -7.35237464492052939771487320880614968639e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.07937000518607459141766382199896010484e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.42797358100745086706362563988598447929e-28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.27871637324128856529004325499921407260e-32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.99553669724530906250814559570819049401e-37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.04272644552406682186928100080598582627e-42), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.70093315570856725077212325128817808000e-47), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.51767319872105260145583037426067406953e-53), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.87159268409640967747617639113346310759e-59), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.45350026842128595165328480395513258721e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.30398532102631290226106936127181928207e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.45242264812189519858570105609209495630e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.22745462510042159972414219082495434039e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31834645038348794443252730265421155969e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44590392528760847619123404904356730177e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08436623062305193311891193246627599030e-25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.46542554766048266351202730449796918707e-30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.78672067064478133389628198943161640913e-34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.56573050761582685018467077197376031818e-39), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.92145137276530136848088270840255715047e-44), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96933863894082533505471662180541379922e-49), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.92661972206232945959915223259585457082e-55), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -16384) { + RealType t = -log2(ldexp(p, 8192)); + + // Rational Approximation + // Maximum Relative Error: 4.8819e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.24662793339079714510108682543625432532e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.25841960642102016210295419419373971750e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.10589156998251704634852108689102850747e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.18697614924486382142056819421294206504e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.79445222262445726654186491785652765635e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.41847338407338901513049755299049551186e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.44550500540299259432401029904726959214e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.97463434518480676079167684683604645092e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.68404349202062958045327516688040625516e-30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.14018837476359778654965300153810397742e-35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.67726222606571327724434861967972555751e-40), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.48082398191886705229604237754446294033e-45), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.28534456209055262678153908192583037946e-51), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.99466700145428173772768099494881455874e-57), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.43473066278196981345209422626769148425e-63), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.26570199429958856038191879713341034013e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.32484776300757286079244074394356908390e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.31234182027812869096733088981702059020e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.13711443044675425837293030288097468867e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.11480036828082409994688474687120865023e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.25592803132287127389756949487347562847e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.45726006695535760451195102271978072855e-28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13082170504731110487003517418453709982e-32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.48217827031663836930337143509338210426e-37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.47389053144555736191304002865419453269e-42), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.90980968229123572201281013063229644814e-47), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.79448544326289688123648457587797649323e-53), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.56179793347045575604935927245529360950e-59), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + result = -boost::math::numeric_limits<RealType>::infinity(); + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_quantile_upper_imp_prec(const RealType& p, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (p >= 0.25) { + RealType t = p - static_cast <RealType>(0.25); + + // Rational Approximation + // Maximum Absolute Error: 1.8559e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(4.81512108276093785320e-1), + static_cast<RealType>(-2.74296316128959647914e0), + static_cast<RealType>(-3.29973875964825685757e1), + static_cast<RealType>(-4.87536980816224603581e1), + static_cast<RealType>(8.22233203036734027999e1), + static_cast<RealType>(1.21654607908452130093e2), + static_cast<RealType>(-6.66681853240657307279e1), + static_cast<RealType>(-4.28101952511581488588e1), + }; + BOOST_MATH_STATIC const RealType Q[10] = { + static_cast<RealType>(1.), + static_cast<RealType>(8.20189490825315245036e0), + static_cast<RealType>(1.63469912146101848441e1), + static_cast<RealType>(-1.52740920318273920072e1), + static_cast<RealType>(-5.41684560257839409762e1), + static_cast<RealType>(6.51733677169299416471e0), + static_cast<RealType>(3.93092001388102589237e1), + static_cast<RealType>(-9.59983666140749481195e-1), + static_cast<RealType>(-9.95648827557655863699e-1), + static_cast<RealType>(-1.32007124426778083829e0), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.125) { + RealType t = p - static_cast <RealType>(0.125); + + // Rational Approximation + // Maximum Absolute Error: 4.6019e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(1.70276979914029733585e0), + static_cast<RealType>(2.09991992116646276165e1), + static_cast<RealType>(2.26775403775298867998e1), + static_cast<RealType>(-4.85384304722129472833e2), + static_cast<RealType>(-1.47107146466495573999e3), + static_cast<RealType>(-7.08748473959943943929e1), + static_cast<RealType>(1.54245210917147215257e3), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(2.13092357122115486375e1), + static_cast<RealType>(1.57318281834689144053e2), + static_cast<RealType>(4.42261730187813035957e2), + static_cast<RealType>(2.10814431586717588454e2), + static_cast<RealType>(-6.36700983439599552504e2), + static_cast<RealType>(-2.82923881266630617596e2), + static_cast<RealType>(1.36613971025062750340e2), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -4) { + RealType t = -log2(ldexp(p, 3)); + + // Rational Approximation + // Maximum Relative Error: 1.2193e-19 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(4.25692449785074345588e-1), + static_cast<RealType>(3.10963501706596356267e-1), + static_cast<RealType>(2.91357806215297069863e-2), + static_cast<RealType>(2.34716342676849303244e-2), + static_cast<RealType>(5.83137296293361915583e-3), + static_cast<RealType>(3.71792415497884868748e-4), + static_cast<RealType>(1.59538372221030642757e-4), + static_cast<RealType>(4.74040834029330213692e-6), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(4.14801234415100707213e-1), + static_cast<RealType>(1.04693730144480856638e-1), + static_cast<RealType>(3.81581484862997435076e-2), + static_cast<RealType>(8.95334009127358617362e-3), + static_cast<RealType>(1.43316686981760147226e-3), + static_cast<RealType>(1.81367766024620080990e-4), + static_cast<RealType>(1.54779999748286671973e-5), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -8) { + RealType t = -log2(ldexp(p, 4)); + + // Rational Approximation + // Maximum Relative Error: 4.4418e-17 + BOOST_MATH_STATIC const RealType P[11] = { + static_cast<RealType>(5.07341098045260541890e-1), + static_cast<RealType>(3.11771145411143166935e-1), + static_cast<RealType>(1.74515601081894060888e-1), + static_cast<RealType>(8.46576990174024231338e-2), + static_cast<RealType>(2.57510090204322149315e-2), + static_cast<RealType>(8.26605326867021684811e-3), + static_cast<RealType>(1.73081423934722046819e-3), + static_cast<RealType>(3.36314161099011673569e-4), + static_cast<RealType>(4.50990441180388912803e-5), + static_cast<RealType>(4.53513191985642134268e-6), + static_cast<RealType>(2.62304611053075404923e-7), + }; + BOOST_MATH_STATIC const RealType Q[11] = { + static_cast<RealType>(1.), + static_cast<RealType>(5.28225379952156944029e-1), + static_cast<RealType>(3.49662079845715371907e-1), + static_cast<RealType>(1.45408903426879603625e-1), + static_cast<RealType>(5.06773501409016231879e-2), + static_cast<RealType>(1.45385556714043243731e-2), + static_cast<RealType>(3.31235831325018043744e-3), + static_cast<RealType>(6.06977554525543056050e-4), + static_cast<RealType>(8.42406730405209749492e-5), + static_cast<RealType>(8.32337989541696717905e-6), + static_cast<RealType>(4.84923196546857128337e-7), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -16) { + RealType t = -log2(ldexp(p, 8)); + + // Rational Approximation + // Maximum Relative Error: 5.7932e-17 + BOOST_MATH_STATIC const RealType P[10] = { + static_cast<RealType>(5.41774626094491510395e-1), + static_cast<RealType>(4.11060141334529017898e-1), + static_cast<RealType>(1.48195601801946264526e-1), + static_cast<RealType>(3.33881552814492855873e-2), + static_cast<RealType>(5.20893974732203890418e-3), + static_cast<RealType>(5.84734765774178832854e-4), + static_cast<RealType>(4.71028150898133935445e-5), + static_cast<RealType>(2.59185739450631464618e-6), + static_cast<RealType>(7.77428184258777394627e-8), + static_cast<RealType>(2.51255632629650930196e-14), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(7.58341767924960527280e-1), + static_cast<RealType>(2.73511775500642961539e-1), + static_cast<RealType>(6.16011987856129890130e-2), + static_cast<RealType>(9.61296002312356116021e-3), + static_cast<RealType>(1.07890675777726076554e-3), + static_cast<RealType>(8.69223632953458271977e-5), + static_cast<RealType>(4.78248875031756169279e-6), + static_cast<RealType>(1.43460852065144859304e-7), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -32) { + RealType t = -log2(ldexp(p, 16)); + + // Rational Approximation + // Maximum Relative Error: 9.0396e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(5.41926067826974905066e-1), + static_cast<RealType>(4.86926556246548518715e-1), + static_cast<RealType>(2.11963908288176005856e-1), + static_cast<RealType>(5.92200639925655576883e-2), + static_cast<RealType>(1.18859816815542567438e-2), + static_cast<RealType>(1.76833662992855443754e-3), + static_cast<RealType>(2.21226152157950219596e-4), + static_cast<RealType>(1.50444847316426133872e-5), + static_cast<RealType>(1.87458213915373906356e-6), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(8.98511036742503939380e-1), + static_cast<RealType>(3.91130673008184655152e-1), + static_cast<RealType>(1.09277016228474605069e-1), + static_cast<RealType>(2.19328471889880028208e-2), + static_cast<RealType>(3.26305879571349016107e-3), + static_cast<RealType>(4.08222014684743492069e-4), + static_cast<RealType>(2.77611385768697969181e-5), + static_cast<RealType>(3.45911046256304795257e-6), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else { + RealType p_square = p * p; + + if ((boost::math::isnormal)(p_square)) { + result = 1 / cbrt(p_square * constants::two_pi<RealType>()); + } + else if (p > 0) { + result = 1 / (cbrt(p) * cbrt(p) * cbrt(constants::two_pi<RealType>())); + } + else { + result = boost::math::numeric_limits<RealType>::infinity(); + } + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_quantile_upper_imp_prec(const RealType& p, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (p >= 0.375) { + RealType t = p - static_cast <RealType>(0.375); + + // Rational Approximation + // Maximum Absolute Error: 4.0835e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.00474815142578902619056852805926666121e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.56422290947427848191079775267512708223e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.70103710180837859003070678080056933649e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.08521918131449191445864593768320217287e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29340655781369686013042530147130581054e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.24198237124638368989049118891909723118e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.43382878809828906953609389440800537385e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.45564809127564867825118566276365267035e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.75881247317499884393790698530115428373e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.55845932095942777602241134226597158364e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.41328261385867825781522154621962338450e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.06758225510372847658316203115073730186e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.10895417312529385966062255102265009972e0), + }; + BOOST_MATH_STATIC const RealType Q[12] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.88252553879196710256650370298744093367e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.54875259600848880869571364891152935969e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.78589587338618424770295921221996471887e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.15356831947775532414727361010652423453e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.12951532118504570745988981200579372124e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.48163841544376327168780999614703092433e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.56786609618056303930232548304847911521e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.25610739352108840474197350343978451729e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.27063786175330237448255839666252978603e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.11941093895004369510720986032269722254e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.51487618026728514833542002963603231101e1), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.25) { + RealType t = p - static_cast <RealType>(0.25); + + // Rational Approximation + // Maximum Absolute Error: 5.7633e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.81512108276093787175849069715334402323e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24417080443497141096829831516758083481e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.67006165991083501886186268944009973084e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.74402382755828993223083868408545308340e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.49182541725192134610277727922493871787e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.67273564707254788337557775618297381267e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.73476432616329813096120568871900178919e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.31235376166262024838125198332476698090e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.59379285677781413393733801325840617522e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.38151434050794836595564739176884302539e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.33534676810383673962443893459127818078e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.38110822236764293910895765875742805411e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.42750073722992463087082849671338957023e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.54255748148299874514839812717054396793e2), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.64823387375875361292425741663822893626e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.02973633484731117050245517938177308809e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.71288209768693917630236009171518272534e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.23837527610546426062625864735895938014e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.05056816585729983223036277071927165555e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.48087477651935811184913947280572029967e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04631058325147527913398256133791276127e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.69813394441679590721342220435891453447e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.92323371456465893290687995174952942311e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.68542430563281320943284015587559056621e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.17969051793607842221356465819951568080e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.82773308760283383020168853159163391394e2), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (p >= 0.125) { + RealType t = p - static_cast <RealType>(0.125); + + // Rational Approximation + // Maximum Absolute Error: 2.1140e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70276979914029738186601698003670175907e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.63126762626382548478172664328434577553e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04190225271045202674546813475341133174e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.93523974140998850492859698545966806498e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19814006186501010136822066747124777014e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.55931423620290859807616748030589502039e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.78874021192395317496507459296221703565e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.03860533237347587977439662522389465152e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.77882648875352690605815508748162607271e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.05498612167816258406694194925933958145e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05326361485692298778330190198630232666e7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.85827791876754731187453265804790139032e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.93719378006868242377955041137674308589e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.56839957539576784391036362196229047625e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.95604329277359828898502487252547842378e6), + }; + BOOST_MATH_STATIC const RealType Q[16] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.79208640567193066236912382037923299779e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.94775812217734059201656828286490832145e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16467934643564936346029555887148320030e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.35525720248600096849901920839060920346e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.69760913594243328874861534307039589127e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.32330501005950982838953061458838040612e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.79610639577090112327353399739315606205e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.43314292923292828425630915931385776182e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.97538885038058371436244702169375622661e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.48431896958634429210349441846613832681e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.93459449030820736960297236799012798749e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.67200014823529787381847745962773726408e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.37035571075060153491151970623824940994e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.22682822001329636071591164177026394518e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.09781406768816062486819491582960840983e4), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (ilogb(p) >= -4) { + RealType t = -log2(ldexp(p, 3)); + + // Rational Approximation + // Maximum Relative Error: 1.1409e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.25692449785074345466504245009175450649e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75679137667345136118441108839649360362e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06171803174020856964914440692439080669e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.87798066278592051163038122952593080648e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20070543183347459409303407166630392077e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.13457391270614708627745403376469848816e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06743974464224003715510181633693539914e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16870984737226212814217822779976770316e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21845093091651861426944931268861694026e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.85357146081877929591916782097540632519e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.19085800299127898508052519062782284785e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41985644250494046067095909812634573318e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30857042700765443668305406695750760693e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.10466412567107519640190849286913680449e-10), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.31914248618040435028023418981527961171e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.73578090645412656850163531828709850171e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.57329813782272411333511950903192234311e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.62736127875896578315177123764520823372e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.76809643836078823237530990091078867553e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32026948719622983920194944841520771986e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.45051018027743807545734050620973716634e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.58281707210621813556068724127478674938e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.63884527227517358294732620995363921547e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15973602356223075515067915930205826229e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.35069439950884795002182517078104942615e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15454119109586223908613596754794988609e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.55273685376557721039847456564342945576e-10), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -8) { + RealType t = -log2(ldexp(p, 4)); + + // Rational Approximation + // Maximum Relative Error: 1.2521e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[23] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.07341098045260497471001948654506267614e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16518383383878659278973043343250842753e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.10029094208424121908983949243560936013e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.04771840726172284780129819470963100749e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.34173170868011689830672637082451998700e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.41990262178664512140746911398264330173e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.06779488545758366708787010705581103705e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.41892665233583725631482443019441608726e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.20692306716979208762785454648538891867e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.11097906809673639231336894729060830995e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.37476591232600886363441107536706973169e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.02659053066396720145189153810309784416e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.02209877191642023279303996697953314344e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.56663781532392665205516573323950583901e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.95655734237060800145227277584749429063e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.06357695252098035545383649954315685077e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.78759045059235560356343893064681290047e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.95881339136963512103591745337914059651e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.70156441275519927563064848389865812060e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.99745225746277063516394774908346367811e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.45718440382347867317547921045052714102e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.39027665085346558512961348663034579801e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05739751797738770096482688062542436470e-15), + }; + BOOST_MATH_STATIC const RealType Q[23] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43370372582239919321785765900615222895e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.52872159582703775260145036441128318159e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.28243735290178057451806192890274584778e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.93375398009812888642212045868197435998e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.73364866677217419593129631900708646445e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.53645928499107852437053167521160449434e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.74280939589407863107682593092148442428e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.80095449855178765594835180574448729793e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.65924845456946706158946250220103271334e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52170861715436344002253767944763106994e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.87246437551620484806338690322735878649e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.88631873230311653853089809596759382095e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.84478812152918182782333415475103623486e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.47998768403859674841488325856607782853e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.82364683269852480160620586102339743788e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.65854316058742127585142691993199177898e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11358340340462071552670838135645042498e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.22818744671190957896035448856159685984e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11038729491846772238262374112315536796e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.21355801166652957655438257794658921155e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.41278271853370874105923461404291742454e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.95100373579692323015092323646110838623e-15), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -16) { + RealType t = -log2(ldexp(p, 8)); + + // Rational Approximation + // Maximum Relative Error: 2.0703e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[21] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.41774626094491452462664949805613444094e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.96383089261273022706449773421031102175e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.16315295073029174376617863024082371446e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.65377894193914426949840018839915119410e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33210993830236821503160637845009556016e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.69315463529653886947182738378630780083e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.09869947341518160436616160018702590834e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44331691052908906654005398143769791881e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13131413925652085071882765653750661678e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.64441840437413591336927030249538399459e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.78393581596372725434038621824715039765e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.50239319821178575427758224587858938204e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.92619647697287767235953207451871137149e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.26901081456833267780600560830367533351e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.12151768312254597726918329997945574766e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.36907507996686107513673694597817437197e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31699373909892506279113260845246144240e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.11230682511893290562864133995544214588e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.44627067257461788044784631155226503036e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39869585157420474301450400944478312794e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.82128612844034824876694595066123093042e-27), + }; + BOOST_MATH_STATIC const RealType Q[20] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.65414405277042133067228113526697909557e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32179221250476209346757936207079534440e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.74217392682100275524983756207618144313e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.45810448055940046896534973720645113799e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.81487408603233765436807980794697048675e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.49442843848941402948883852684502731460e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.66330842256792791665907478718489013963e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.93285292223845804061941359223505045576e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.87966347754794288681626114849829710697e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.13711644429711675111080150193733607164e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.61758862007482013187806625777101452737e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.55435556106272558989915248980090731639e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.34166571320580242213843747025082914011e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31411360099525131959755145015018410429e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.21684839228785650625270026640716752452e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.43021096301255274530428188746599779008e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.58831290247776456235908211620983180005e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74309280855806399632683315923592902203e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.58097100528573186098159133443927182780e-18), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -32) { + RealType t = -log2(ldexp(p, 16)); + + // Rational Approximation + // Maximum Relative Error: 3.4124e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[19] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.41926067826974814669251179264786585885e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.21141529920003643675474888047093566280e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59964592861304582755436075901659426485e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.95135112971576806260593571877646426022e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.12322024725362032809787183337883163254e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.96758465518847580191799508363466893068e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.12389553946694902774213055563291192175e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04599236076217479033545023949602272721e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.16143771174487665823565565218797804931e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.38966874413947625866830582082846088427e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.02590325514935982607907975481732376204e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44376747400143802055827426602151525955e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.82088624006657184426589019067893704020e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.95757210706845964048697237729100056232e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.36096213291559182424937062842308387702e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14362780521873256616533770657488533993e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.73571098395815275003552523759665474105e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47286214854389274681661944885238913581e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.73701196181204039400706651811524874455e-34), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.77119890916406072259446489508263892540e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.95177888809731859578167185583119074026e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.29131027214559081111011582466619105016e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31442657037887347262737789825299661237e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83928863984637222329515960387531101267e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.07389089078167127136964851949662391744e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.93013847797006474150589676891548600820e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50600573851533884594030683413819219915e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.94539484213971921794449107859541806317e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.58360895032645281635534287874266252341e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.66414102108217999886628042310332365446e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07411076181287950822375436854492998754e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.61224937285582228022463072515935601355e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.89242339209389981530783624934733098598e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.11030225010379194015550512905872992373e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.20285566539355859922818448335043495666e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.71782855576364068752705740544460766362e-20), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else if (ilogb(p) >= -64) { + RealType t = -log2(ldexp(p, 32)); + + // Rational Approximation + // Maximum Relative Error: 2.1680e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.41926070139289008206183757488364846894e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.78434820569480998586988738136492447574e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.07939171933509333571821660328723436210e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.92438439347811482522082798370060349739e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24288918322433485413615362874371441367e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.04437759300344740815274986587186340509e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.74063952231188399929705762263485071234e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.07228849610363181194047955109059900544e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.93120850707001212714821992328252707694e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.40911049607879914351205073608184243057e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71898232013947717725198847649536278438e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06963706982203753050300400912657068823e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.79849166632277658631839126599110199710e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.74682085785152276503345630444792840850e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.09650236336641219916377836114077389212e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.97326394822836529817663710792553753811e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.26635728806398747570910072594323836441e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.96470010392255781222480229189380065951e-18), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.82841492468725267177870050157374330523e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.83703946702662950408034486958999188355e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.09320896703777230915306208582393356690e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29346630787642344947323515884281464979e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.77242894492599243245354774839232776944e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.05722029871614922850936250945431594997e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.66920224988248720006255827987385374411e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.40887155754772190509572243444386095560e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.44545968319921473942351968892623238920e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.17198676140022989760684932594389017027e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.97376935482567419865730773801543995320e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06997835790265899882151030367297786861e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.06862653266619706928282319356971834957e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.02334307903766790059473763725329176667e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.33174535634931487079630169746402085699e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70989324903345102377898775620363767855e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.47067260145014475572799216996976703615e-18), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * cbrt(p * p)); + } + else { + RealType p_square = p * p; + + if ((boost::math::isnormal)(p_square)) { + result = 1 / cbrt(p_square * constants::two_pi<RealType>()); + } + else if (p > 0) { + result = 1 / (cbrt(p) * cbrt(p) * cbrt(constants::two_pi<RealType>())); + } + else { + result = boost::math::numeric_limits<RealType>::infinity(); + } + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_quantile_imp_prec(const RealType& p, bool complement, const boost::math::integral_constant<int, 53>& tag) +{ + if (p > 0.5) { + return !complement ? mapairy_quantile_upper_imp_prec(1 - p, tag) : mapairy_quantile_lower_imp_prec(1 - p, tag); + } + + return complement ? mapairy_quantile_upper_imp_prec(p, tag) : mapairy_quantile_lower_imp_prec(p, tag); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_quantile_imp_prec(const RealType& p, bool complement, const boost::math::integral_constant<int, 113>& tag) +{ + if (p > 0.5) { + return !complement ? mapairy_quantile_upper_imp_prec(1 - p, tag) : mapairy_quantile_lower_imp_prec(1 - p, tag); + } + + return complement ? mapairy_quantile_upper_imp_prec(p, tag) : mapairy_quantile_lower_imp_prec(p, tag); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_quantile_imp(const mapairy_distribution<RealType, Policy>& dist, const RealType& p, bool complement) +{ + // This routine implements the quantile for the Map-Airy distribution, + // the value p may be the probability, or its complement if complement=true. + + constexpr auto function = "boost::math::quantile(mapairy<%1%>&, %1%)"; + BOOST_MATH_STD_USING // for ADL of std functions + + RealType result = 0; + RealType scale = dist.scale(); + RealType location = dist.location(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + if (false == detail::check_probability(function, p, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Map-Airy distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + result = location + scale * mapairy_quantile_imp_prec(p, complement, tag_type()); + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_mode_imp_prec(const boost::math::integral_constant<int, 53>&) +{ + return static_cast<RealType>(-1.16158727113597068525); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_mode_imp_prec(const boost::math::integral_constant<int, 113>&) +{ + return BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.1615872711359706852500000803029112987); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_mode_imp(const mapairy_distribution<RealType, Policy>& dist) +{ + // This implements the mode for the Map-Airy distribution, + + constexpr auto function = "boost::math::mode(mapairy<%1%>&, %1%)"; + BOOST_MATH_STD_USING // for ADL of std functions + + RealType result = 0; + RealType scale = dist.scale(); + RealType location = dist.location(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Map-Airy distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + result = location + scale * mapairy_mode_imp_prec<RealType>(tag_type()); + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_median_imp_prec(const boost::math::integral_constant<int, 53>&) +{ + return static_cast<RealType>(-0.71671068545502205332); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_median_imp_prec(const boost::math::integral_constant<int, 113>&) +{ + return BOOST_MATH_BIG_CONSTANT(RealType, 113, -0.71671068545502205331700196278067230944440); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_median_imp(const mapairy_distribution<RealType, Policy>& dist) +{ + // This implements the median for the Map-Airy distribution, + + constexpr auto function = "boost::math::median(mapairy<%1%>&, %1%)"; + BOOST_MATH_STD_USING // for ADL of std functions + + RealType result = 0; + RealType scale = dist.scale(); + RealType location = dist.location(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Map-Airy distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + result = location + scale * mapairy_median_imp_prec<RealType>(tag_type()); + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_entropy_imp_prec(const boost::math::integral_constant<int, 53>&) +{ + return static_cast<RealType>(2.00727681841065634600); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_entropy_imp_prec(const boost::math::integral_constant<int, 113>&) +{ + return BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.0072768184106563460003025875575283708); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mapairy_entropy_imp(const mapairy_distribution<RealType, Policy>& dist) +{ + // This implements the entropy for the Map-Airy distribution, + + constexpr auto function = "boost::math::entropy(mapairy<%1%>&, %1%)"; + BOOST_MATH_STD_USING // for ADL of std functions + + RealType result = 0; + RealType scale = dist.scale(); + + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The Map-Airy distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + result = mapairy_entropy_imp_prec<RealType>(tag_type()) + log(scale); + + return result; +} + +} // detail + +template <class RealType = double, class Policy = policies::policy<> > +class mapairy_distribution +{ + public: + typedef RealType value_type; + typedef Policy policy_type; + + BOOST_MATH_GPU_ENABLED mapairy_distribution(RealType l_location = 0, RealType l_scale = 1) + : mu(l_location), c(l_scale) + { + constexpr auto function = "boost::math::mapairy_distribution<%1%>::mapairy_distribution"; + RealType result = 0; + detail::check_location(function, l_location, &result, Policy()); + detail::check_scale(function, l_scale, &result, Policy()); + } // mapairy_distribution + + BOOST_MATH_GPU_ENABLED RealType location()const + { + return mu; + } + BOOST_MATH_GPU_ENABLED RealType scale()const + { + return c; + } + + private: + RealType mu; // The location parameter. + RealType c; // The scale parameter. +}; + +typedef mapairy_distribution<double> mapairy; + +#ifdef __cpp_deduction_guides +template <class RealType> +mapairy_distribution(RealType) -> mapairy_distribution<typename boost::math::tools::promote_args<RealType>::type>; +template <class RealType> +mapairy_distribution(RealType, RealType) -> mapairy_distribution<typename boost::math::tools::promote_args<RealType>::type>; +#endif + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const mapairy_distribution<RealType, Policy>&) +{ // Range of permissible values for random variable x. + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) + { + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. + } + else + { // Can only use max_value. + using boost::math::tools::max_value; + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max. + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const mapairy_distribution<RealType, Policy>&) +{ // Range of supported values for random variable x. + // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) + { + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. + } + else + { // Can only use max_value. + using boost::math::tools::max_value; + return boost::math::pair<RealType, RealType>(-tools::max_value<RealType>(), max_value<RealType>()); // - to + max. + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType pdf(const mapairy_distribution<RealType, Policy>& dist, const RealType& x) +{ + return detail::mapairy_pdf_imp(dist, x); +} // pdf + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType cdf(const mapairy_distribution<RealType, Policy>& dist, const RealType& x) +{ + return detail::mapairy_cdf_imp(dist, x, false); +} // cdf + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType quantile(const mapairy_distribution<RealType, Policy>& dist, const RealType& p) +{ + return detail::mapairy_quantile_imp(dist, p, false); +} // quantile + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<mapairy_distribution<RealType, Policy>, RealType>& c) +{ + return detail::mapairy_cdf_imp(c.dist, c.param, true); +} // cdf complement + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<mapairy_distribution<RealType, Policy>, RealType>& c) +{ + return detail::mapairy_quantile_imp(c.dist, c.param, true); +} // quantile complement + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mean(const mapairy_distribution<RealType, Policy> &dist) +{ + return dist.location(); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType variance(const mapairy_distribution<RealType, Policy>& /*dist*/) +{ + return boost::math::numeric_limits<RealType>::infinity(); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mode(const mapairy_distribution<RealType, Policy>& dist) +{ + return detail::mapairy_mode_imp(dist); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType median(const mapairy_distribution<RealType, Policy>& dist) +{ + return detail::mapairy_median_imp(dist); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType skewness(const mapairy_distribution<RealType, Policy>& /*dist*/) +{ + // There is no skewness: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The Map-Airy Distribution has no skewness"); + + return policies::raise_domain_error<RealType>( + "boost::math::skewness(mapairy<%1%>&)", + "The Map-Airy distribution does not have a skewness: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); // infinity? +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const mapairy_distribution<RealType, Policy>& /*dist*/) +{ + // There is no kurtosis: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The Map-Airy Distribution has no kurtosis"); + + return policies::raise_domain_error<RealType>( + "boost::math::kurtosis(mapairy<%1%>&)", + "The Map-Airy distribution does not have a kurtosis: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const mapairy_distribution<RealType, Policy>& /*dist*/) +{ + // There is no kurtosis excess: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The Map-Airy Distribution has no kurtosis excess"); + + return policies::raise_domain_error<RealType>( + "boost::math::kurtosis_excess(mapairy<%1%>&)", + "The Map-Airy distribution does not have a kurtosis: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType entropy(const mapairy_distribution<RealType, Policy>& dist) +{ + return detail::mapairy_entropy_imp(dist); +} + +}} // namespaces + + +#endif // BOOST_STATS_MAPAIRY_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/negative_binomial.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/negative_binomial.hpp index 18eec09939..f520c94803 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/negative_binomial.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/negative_binomial.hpp @@ -44,6 +44,10 @@ #ifndef BOOST_MATH_SPECIAL_NEGATIVE_BINOMIAL_HPP #define BOOST_MATH_SPECIAL_NEGATIVE_BINOMIAL_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/cstdint.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/beta.hpp> // for ibeta(a, b, x) == Ix(a, b). #include <boost/math/distributions/complement.hpp> // complement. @@ -51,9 +55,7 @@ #include <boost/math/special_functions/fpclassify.hpp> // isnan. #include <boost/math/tools/roots.hpp> // for root finding. #include <boost/math/distributions/detail/inv_discrete_quantile.hpp> - -#include <limits> // using std::numeric_limits; -#include <utility> +#include <boost/math/policies/error_handling.hpp> #if defined (BOOST_MSVC) # pragma warning(push) @@ -70,7 +72,7 @@ namespace boost { // Common error checking routines for negative binomial distribution functions: template <class RealType, class Policy> - inline bool check_successes(const char* function, const RealType& r, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_successes(const char* function, const RealType& r, RealType* result, const Policy& pol) { if( !(boost::math::isfinite)(r) || (r <= 0) ) { @@ -82,7 +84,7 @@ namespace boost return true; } template <class RealType, class Policy> - inline bool check_success_fraction(const char* function, const RealType& p, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_success_fraction(const char* function, const RealType& p, RealType* result, const Policy& pol) { if( !(boost::math::isfinite)(p) || (p < 0) || (p > 1) ) { @@ -94,13 +96,13 @@ namespace boost return true; } template <class RealType, class Policy> - inline bool check_dist(const char* function, const RealType& r, const RealType& p, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist(const char* function, const RealType& r, const RealType& p, RealType* result, const Policy& pol) { return check_success_fraction(function, p, result, pol) && check_successes(function, r, result, pol); } template <class RealType, class Policy> - inline bool check_dist_and_k(const char* function, const RealType& r, const RealType& p, RealType k, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist_and_k(const char* function, const RealType& r, const RealType& p, RealType k, RealType* result, const Policy& pol) { if(check_dist(function, r, p, result, pol) == false) { @@ -117,7 +119,7 @@ namespace boost } // Check_dist_and_k template <class RealType, class Policy> - inline bool check_dist_and_prob(const char* function, const RealType& r, RealType p, RealType prob, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist_and_prob(const char* function, const RealType& r, RealType p, RealType prob, RealType* result, const Policy& pol) { if((check_dist(function, r, p, result, pol) && detail::check_probability(function, prob, result, pol)) == false) { @@ -134,7 +136,7 @@ namespace boost typedef RealType value_type; typedef Policy policy_type; - negative_binomial_distribution(RealType r, RealType p) : m_r(r), m_p(p) + BOOST_MATH_GPU_ENABLED negative_binomial_distribution(RealType r, RealType p) : m_r(r), m_p(p) { // Constructor. RealType result; negative_binomial_detail::check_dist( @@ -145,21 +147,21 @@ namespace boost } // negative_binomial_distribution constructor. // Private data getter class member functions. - RealType success_fraction() const + BOOST_MATH_GPU_ENABLED RealType success_fraction() const { // Probability of success as fraction in range 0 to 1. return m_p; } - RealType successes() const + BOOST_MATH_GPU_ENABLED RealType successes() const { // Total number of successes r. return m_r; } - static RealType find_lower_bound_on_p( + BOOST_MATH_GPU_ENABLED static RealType find_lower_bound_on_p( RealType trials, RealType successes, RealType alpha) // alpha 0.05 equivalent to 95% for one-sided test. { - static const char* function = "boost::math::negative_binomial<%1%>::find_lower_bound_on_p"; + constexpr auto function = "boost::math::negative_binomial<%1%>::find_lower_bound_on_p"; RealType result = 0; // of error checks. RealType failures = trials - successes; if(false == detail::check_probability(function, alpha, &result, Policy()) @@ -179,12 +181,12 @@ namespace boost return ibeta_inv(successes, failures + 1, alpha, static_cast<RealType*>(nullptr), Policy()); } // find_lower_bound_on_p - static RealType find_upper_bound_on_p( + BOOST_MATH_GPU_ENABLED static RealType find_upper_bound_on_p( RealType trials, RealType successes, RealType alpha) // alpha 0.05 equivalent to 95% for one-sided test. { - static const char* function = "boost::math::negative_binomial<%1%>::find_upper_bound_on_p"; + constexpr auto function = "boost::math::negative_binomial<%1%>::find_upper_bound_on_p"; RealType result = 0; // of error checks. RealType failures = trials - successes; if(false == negative_binomial_detail::check_dist_and_k( @@ -210,12 +212,12 @@ namespace boost // Estimate number of trials : // "How many trials do I need to be P% sure of seeing k or fewer failures?" - static RealType find_minimum_number_of_trials( + BOOST_MATH_GPU_ENABLED static RealType find_minimum_number_of_trials( RealType k, // number of failures (k >= 0). RealType p, // success fraction 0 <= p <= 1. RealType alpha) // risk level threshold 0 <= alpha <= 1. { - static const char* function = "boost::math::negative_binomial<%1%>::find_minimum_number_of_trials"; + constexpr auto function = "boost::math::negative_binomial<%1%>::find_minimum_number_of_trials"; // Error checks: RealType result = 0; if(false == negative_binomial_detail::check_dist_and_k( @@ -227,12 +229,12 @@ namespace boost return result + k; } // RealType find_number_of_failures - static RealType find_maximum_number_of_trials( + BOOST_MATH_GPU_ENABLED static RealType find_maximum_number_of_trials( RealType k, // number of failures (k >= 0). RealType p, // success fraction 0 <= p <= 1. RealType alpha) // risk level threshold 0 <= alpha <= 1. { - static const char* function = "boost::math::negative_binomial<%1%>::find_maximum_number_of_trials"; + constexpr auto function = "boost::math::negative_binomial<%1%>::find_maximum_number_of_trials"; // Error checks: RealType result = 0; if(false == negative_binomial_detail::check_dist_and_k( @@ -257,22 +259,22 @@ namespace boost #endif template <class RealType, class Policy> - inline const std::pair<RealType, RealType> range(const negative_binomial_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const negative_binomial_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable k. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // max_integer? + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // max_integer? } template <class RealType, class Policy> - inline const std::pair<RealType, RealType> support(const negative_binomial_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const negative_binomial_distribution<RealType, Policy>& /* dist */) { // Range of supported values for random variable k. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // max_integer? + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // max_integer? } template <class RealType, class Policy> - inline RealType mean(const negative_binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const negative_binomial_distribution<RealType, Policy>& dist) { // Mean of Negative Binomial distribution = r(1-p)/p. return dist.successes() * (1 - dist.success_fraction() ) / dist.success_fraction(); } // mean @@ -285,14 +287,14 @@ namespace boost // Now implemented via quantile(half) in derived accessors. template <class RealType, class Policy> - inline RealType mode(const negative_binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mode(const negative_binomial_distribution<RealType, Policy>& dist) { // Mode of Negative Binomial distribution = floor[(r-1) * (1 - p)/p] BOOST_MATH_STD_USING // ADL of std functions. return floor((dist.successes() -1) * (1 - dist.success_fraction()) / dist.success_fraction()); } // mode template <class RealType, class Policy> - inline RealType skewness(const negative_binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const negative_binomial_distribution<RealType, Policy>& dist) { // skewness of Negative Binomial distribution = 2-p / (sqrt(r(1-p)) BOOST_MATH_STD_USING // ADL of std functions. RealType p = dist.success_fraction(); @@ -303,7 +305,7 @@ namespace boost } // skewness template <class RealType, class Policy> - inline RealType kurtosis(const negative_binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const negative_binomial_distribution<RealType, Policy>& dist) { // kurtosis of Negative Binomial distribution // http://en.wikipedia.org/wiki/Negative_binomial is kurtosis_excess so add 3 RealType p = dist.success_fraction(); @@ -312,7 +314,7 @@ namespace boost } // kurtosis template <class RealType, class Policy> - inline RealType kurtosis_excess(const negative_binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const negative_binomial_distribution<RealType, Policy>& dist) { // kurtosis excess of Negative Binomial distribution // http://mathworld.wolfram.com/Kurtosis.html table of kurtosis_excess RealType p = dist.success_fraction(); @@ -321,7 +323,7 @@ namespace boost } // kurtosis_excess template <class RealType, class Policy> - inline RealType variance(const negative_binomial_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const negative_binomial_distribution<RealType, Policy>& dist) { // Variance of Binomial distribution = r (1-p) / p^2. return dist.successes() * (1 - dist.success_fraction()) / (dist.success_fraction() * dist.success_fraction()); @@ -335,11 +337,11 @@ namespace boost // chf of Negative Binomial distribution provided by derived accessors. template <class RealType, class Policy> - inline RealType pdf(const negative_binomial_distribution<RealType, Policy>& dist, const RealType& k) + BOOST_MATH_GPU_ENABLED inline RealType pdf(const negative_binomial_distribution<RealType, Policy>& dist, const RealType& k) { // Probability Density/Mass Function. BOOST_FPU_EXCEPTION_GUARD - static const char* function = "boost::math::pdf(const negative_binomial_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const negative_binomial_distribution<%1%>&, %1%)"; RealType r = dist.successes(); RealType p = dist.success_fraction(); @@ -361,9 +363,9 @@ namespace boost } // negative_binomial_pdf template <class RealType, class Policy> - inline RealType cdf(const negative_binomial_distribution<RealType, Policy>& dist, const RealType& k) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const negative_binomial_distribution<RealType, Policy>& dist, const RealType& k) { // Cumulative Distribution Function of Negative Binomial. - static const char* function = "boost::math::cdf(const negative_binomial_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const negative_binomial_distribution<%1%>&, %1%)"; using boost::math::ibeta; // Regularized incomplete beta function. // k argument may be integral, signed, or unsigned, or floating point. // If necessary, it has already been promoted from an integral type. @@ -387,10 +389,10 @@ namespace boost } // cdf Cumulative Distribution Function Negative Binomial. template <class RealType, class Policy> - inline RealType cdf(const complemented2_type<negative_binomial_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<negative_binomial_distribution<RealType, Policy>, RealType>& c) { // Complemented Cumulative Distribution Function Negative Binomial. - static const char* function = "boost::math::cdf(const negative_binomial_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const negative_binomial_distribution<%1%>&, %1%)"; using boost::math::ibetac; // Regularized incomplete beta function complement. // k argument may be integral, signed, or unsigned, or floating point. // If necessary, it has already been promoted from an integral type. @@ -421,7 +423,7 @@ namespace boost } // cdf Cumulative Distribution Function Negative Binomial. template <class RealType, class Policy> - inline RealType quantile(const negative_binomial_distribution<RealType, Policy>& dist, const RealType& P) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const negative_binomial_distribution<RealType, Policy>& dist, const RealType& P) { // Quantile, percentile/100 or Percent Point Negative Binomial function. // Return the number of expected failures k for a given probability p. @@ -429,7 +431,7 @@ namespace boost // MAthCAD pnbinom return smallest k such that negative_binomial(k, n, p) >= probability. // k argument may be integral, signed, or unsigned, or floating point. // BUT Cephes/CodeCogs says: finds argument p (0 to 1) such that cdf(k, n, p) = y - static const char* function = "boost::math::quantile(const negative_binomial_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const negative_binomial_distribution<%1%>&, %1%)"; BOOST_MATH_STD_USING // ADL of std functions. RealType p = dist.success_fraction(); @@ -484,7 +486,7 @@ namespace boost // // Cornish-Fisher Negative binomial approximation not accurate in this area: // - guess = (std::min)(RealType(r * 2), RealType(10)); + guess = BOOST_MATH_GPU_SAFE_MIN(RealType(r * 2), RealType(10)); } else factor = (1-P < sqrt(tools::epsilon<RealType>())) ? 2 : (guess < 20 ? 1.2f : 1.1f); @@ -492,7 +494,7 @@ namespace boost // // Max iterations permitted: // - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); typedef typename Policy::discrete_quantile_type discrete_type; return detail::inverse_discrete_quantile( dist, @@ -506,11 +508,11 @@ namespace boost } // RealType quantile(const negative_binomial_distribution dist, p) template <class RealType, class Policy> - inline RealType quantile(const complemented2_type<negative_binomial_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<negative_binomial_distribution<RealType, Policy>, RealType>& c) { // Quantile or Percent Point Binomial function. // Return the number of expected failures k for a given // complement of the probability Q = 1 - P. - static const char* function = "boost::math::quantile(const negative_binomial_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const negative_binomial_distribution<%1%>&, %1%)"; BOOST_MATH_STD_USING // Error checks: @@ -571,7 +573,7 @@ namespace boost // // Cornish-Fisher Negative binomial approximation not accurate in this area: // - guess = (std::min)(RealType(r * 2), RealType(10)); + guess = BOOST_MATH_GPU_SAFE_MIN(RealType(r * 2), RealType(10)); } else factor = (Q < sqrt(tools::epsilon<RealType>())) ? 2 : (guess < 20 ? 1.2f : 1.1f); @@ -579,7 +581,7 @@ namespace boost // // Max iterations permitted: // - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); typedef typename Policy::discrete_quantile_type discrete_type; return detail::inverse_discrete_quantile( dist, diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/non_central_beta.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/non_central_beta.hpp index 66b12e870a..9dd7d5e60b 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/non_central_beta.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/non_central_beta.hpp @@ -1,7 +1,7 @@ // boost\math\distributions\non_central_beta.hpp // Copyright John Maddock 2008. - +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt @@ -10,6 +10,10 @@ #ifndef BOOST_MATH_SPECIAL_NON_CENTRAL_BETA_HPP #define BOOST_MATH_SPECIAL_NON_CENTRAL_BETA_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/beta.hpp> // for incomplete gamma. gamma_q #include <boost/math/distributions/complement.hpp> // complements @@ -20,6 +24,7 @@ #include <boost/math/special_functions/trunc.hpp> #include <boost/math/tools/roots.hpp> // for root finding. #include <boost/math/tools/series.hpp> +#include <boost/math/policies/error_handling.hpp> namespace boost { @@ -32,14 +37,14 @@ namespace boost namespace detail{ template <class T, class Policy> - T non_central_beta_p(T a, T b, T lam, T x, T y, const Policy& pol, T init_val = 0) + BOOST_MATH_GPU_ENABLED T non_central_beta_p(T a, T b, T lam, T x, T y, const Policy& pol, T init_val = 0) { BOOST_MATH_STD_USING using namespace boost::math; // // Variables come first: // - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T errtol = boost::math::policies::get_epsilon<T, Policy>(); T l2 = lam / 2; // @@ -86,7 +91,7 @@ namespace boost // direction for recursion: // T last_term = 0; - std::uintmax_t count = k; + boost::math::uintmax_t count = k; for(auto i = k; i >= 0; --i) { T term = beta * pois; @@ -120,7 +125,7 @@ namespace boost break; } last_term = term; - if(static_cast<std::uintmax_t>(count + i - k) > max_iter) + if(static_cast<boost::math::uintmax_t>(count + i - k) > max_iter) { return policies::raise_evaluation_error("cdf(non_central_beta_distribution<%1%>, %1%)", "Series did not converge, closest value was %1%", sum, pol); // LCOV_EXCL_LINE } @@ -129,14 +134,14 @@ namespace boost } template <class T, class Policy> - T non_central_beta_q(T a, T b, T lam, T x, T y, const Policy& pol, T init_val = 0) + BOOST_MATH_GPU_ENABLED T non_central_beta_q(T a, T b, T lam, T x, T y, const Policy& pol, T init_val = 0) { BOOST_MATH_STD_USING using namespace boost::math; // // Variables come first: // - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T errtol = boost::math::policies::get_epsilon<T, Policy>(); T l2 = lam / 2; // @@ -185,7 +190,7 @@ namespace boost // of the bulk of the sum: // T last_term = 0; - std::uintmax_t count = 0; + boost::math::uintmax_t count = 0; for(auto i = k + 1; ; ++i) { poisf *= l2 / i; @@ -199,7 +204,7 @@ namespace boost count = i - k; break; } - if(static_cast<std::uintmax_t>(i - k) > max_iter) + if(static_cast<boost::math::uintmax_t>(i - k) > max_iter) { return policies::raise_evaluation_error("cdf(non_central_beta_distribution<%1%>, %1%)", "Series did not converge, closest value was %1%", sum, pol); // LCOV_EXCL_LINE } @@ -213,7 +218,7 @@ namespace boost { break; } - if(static_cast<std::uintmax_t>(count + k - i) > max_iter) + if(static_cast<boost::math::uintmax_t>(count + k - i) > max_iter) { return policies::raise_evaluation_error("cdf(non_central_beta_distribution<%1%>, %1%)", "Series did not converge, closest value was %1%", sum, pol); // LCOV_EXCL_LINE } @@ -228,7 +233,7 @@ namespace boost } template <class RealType, class Policy> - inline RealType non_central_beta_cdf(RealType x, RealType y, RealType a, RealType b, RealType l, bool invert, const Policy&) + BOOST_MATH_GPU_ENABLED inline RealType non_central_beta_cdf(RealType x, RealType y, RealType a, RealType b, RealType l, bool invert, const Policy&) { typedef typename policies::evaluation<RealType, Policy>::type value_type; typedef typename policies::normalise< @@ -283,10 +288,10 @@ namespace boost template <class T, class Policy> struct nc_beta_quantile_functor { - nc_beta_quantile_functor(const non_central_beta_distribution<T,Policy>& d, T t, bool c) + BOOST_MATH_GPU_ENABLED nc_beta_quantile_functor(const non_central_beta_distribution<T,Policy>& d, T t, bool c) : dist(d), target(t), comp(c) {} - T operator()(const T& x) + BOOST_MATH_GPU_ENABLED T operator()(const T& x) { return comp ? T(target - cdf(complement(dist, x))) @@ -305,10 +310,10 @@ namespace boost // heuristics. // template <class F, class T, class Tol, class Policy> - std::pair<T, T> bracket_and_solve_root_01(F f, const T& guess, T factor, bool rising, Tol tol, std::uintmax_t& max_iter, const Policy& pol) + BOOST_MATH_GPU_ENABLED boost::math::pair<T, T> bracket_and_solve_root_01(F f, const T& guess, T factor, bool rising, Tol tol, boost::math::uintmax_t& max_iter, const Policy& pol) { BOOST_MATH_STD_USING - static const char* function = "boost::math::tools::bracket_and_solve_root_01<%1%>"; + constexpr auto function = "boost::math::tools::bracket_and_solve_root_01<%1%>"; // // Set up initial brackets: // @@ -319,7 +324,7 @@ namespace boost // // Set up invocation count: // - std::uintmax_t count = max_iter - 1; + boost::math::uintmax_t count = max_iter - 1; if((fa < 0) == (guess < 0 ? !rising : rising)) { @@ -332,7 +337,7 @@ namespace boost if(count == 0) { b = policies::raise_evaluation_error(function, "Unable to bracket root, last nearest value was %1%", b, pol); // LCOV_EXCL_LINE - return std::make_pair(a, b); + return boost::math::make_pair(a, b); } // // Heuristic: every 20 iterations we double the growth factor in case the @@ -365,12 +370,12 @@ namespace boost // Escape route just in case the answer is zero! max_iter -= count; max_iter += 1; - return a > 0 ? std::make_pair(T(0), T(a)) : std::make_pair(T(a), T(0)); + return a > 0 ? boost::math::make_pair(T(0), T(a)) : boost::math::make_pair(T(a), T(0)); } if(count == 0) { a = policies::raise_evaluation_error(function, "Unable to bracket root, last nearest value was %1%", a, pol); // LCOV_EXCL_LINE - return std::make_pair(a, b); + return boost::math::make_pair(a, b); } // // Heuristic: every 20 iterations we double the growth factor in case the @@ -391,7 +396,7 @@ namespace boost } max_iter -= count; max_iter += 1; - std::pair<T, T> r = toms748_solve( + boost::math::pair<T, T> r = toms748_solve( f, (a < 0 ? b : a), (a < 0 ? a : b), @@ -406,9 +411,9 @@ namespace boost } template <class RealType, class Policy> - RealType nc_beta_quantile(const non_central_beta_distribution<RealType, Policy>& dist, const RealType& p, bool comp) + BOOST_MATH_GPU_ENABLED RealType nc_beta_quantile(const non_central_beta_distribution<RealType, Policy>& dist, const RealType& p, bool comp) { - static const char* function = "quantile(non_central_beta_distribution<%1%>, %1%)"; + constexpr auto function = "quantile(non_central_beta_distribution<%1%>, %1%)"; typedef typename policies::evaluation<RealType, Policy>::type value_type; typedef typename policies::normalise< Policy, @@ -505,9 +510,9 @@ namespace boost detail::nc_beta_quantile_functor<value_type, Policy> f(non_central_beta_distribution<value_type, Policy>(a, b, l), p, comp); tools::eps_tolerance<value_type> tol(policies::digits<RealType, Policy>()); - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); - std::pair<value_type, value_type> ir + boost::math::pair<value_type, value_type> ir = bracket_and_solve_root_01( f, guess, value_type(2.5), true, tol, max_iter, Policy()); @@ -530,7 +535,7 @@ namespace boost } template <class T, class Policy> - T non_central_beta_pdf(T a, T b, T lam, T x, T y, const Policy& pol) + BOOST_MATH_GPU_ENABLED T non_central_beta_pdf(T a, T b, T lam, T x, T y, const Policy& pol) { BOOST_MATH_STD_USING // @@ -541,7 +546,7 @@ namespace boost // // Variables come first: // - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T errtol = boost::math::policies::get_epsilon<T, Policy>(); T l2 = lam / 2; // @@ -580,7 +585,7 @@ namespace boost // // Stable backwards recursion first: // - std::uintmax_t count = k; + boost::math::uintmax_t count = k; T ratio = 0; T old_ratio = 0; for(auto i = k; i >= 0; --i) @@ -615,7 +620,7 @@ namespace boost break; } old_ratio = ratio; - if(static_cast<std::uintmax_t>(count + i - k) > max_iter) + if(static_cast<boost::math::uintmax_t>(count + i - k) > max_iter) { return policies::raise_evaluation_error("pdf(non_central_beta_distribution<%1%>, %1%)", "Series did not converge, closest value was %1%", sum, pol); // LCOV_EXCL_LINE } @@ -624,10 +629,10 @@ namespace boost } template <class RealType, class Policy> - RealType nc_beta_pdf(const non_central_beta_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED RealType nc_beta_pdf(const non_central_beta_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING - static const char* function = "pdf(non_central_beta_distribution<%1%>, %1%)"; + constexpr auto function = "pdf(non_central_beta_distribution<%1%>, %1%)"; typedef typename policies::evaluation<RealType, Policy>::type value_type; typedef typename policies::normalise< Policy, @@ -672,8 +677,8 @@ namespace boost struct hypergeometric_2F2_sum { typedef T result_type; - hypergeometric_2F2_sum(T a1_, T a2_, T b1_, T b2_, T z_) : a1(a1_), a2(a2_), b1(b1_), b2(b2_), z(z_), term(1), k(0) {} - T operator()() + BOOST_MATH_GPU_ENABLED hypergeometric_2F2_sum(T a1_, T a2_, T b1_, T b2_, T z_) : a1(a1_), a2(a2_), b1(b1_), b2(b2_), z(z_), term(1), k(0) {} + BOOST_MATH_GPU_ENABLED T operator()() { T result = term; term *= a1 * a2 / (b1 * b2); @@ -690,14 +695,14 @@ namespace boost }; template <class T, class Policy> - T hypergeometric_2F2(T a1, T a2, T b1, T b2, T z, const Policy& pol) + BOOST_MATH_GPU_ENABLED T hypergeometric_2F2(T a1, T a2, T b1, T b2, T z, const Policy& pol) { typedef typename policies::evaluation<T, Policy>::type value_type; const char* function = "boost::math::detail::hypergeometric_2F2<%1%>(%1%,%1%,%1%,%1%,%1%)"; hypergeometric_2F2_sum<value_type> s(a1, a2, b1, b2, z); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); value_type result = boost::math::tools::sum_series(s, boost::math::policies::get_epsilon<value_type, Policy>(), max_iter); @@ -714,7 +719,7 @@ namespace boost typedef RealType value_type; typedef Policy policy_type; - non_central_beta_distribution(RealType a_, RealType b_, RealType lambda) : a(a_), b(b_), ncp(lambda) + BOOST_MATH_GPU_ENABLED non_central_beta_distribution(RealType a_, RealType b_, RealType lambda) : a(a_), b(b_), ncp(lambda) { const char* function = "boost::math::non_central_beta_distribution<%1%>::non_central_beta_distribution(%1%,%1%)"; RealType r; @@ -731,15 +736,15 @@ namespace boost Policy()); } // non_central_beta_distribution constructor. - RealType alpha() const + BOOST_MATH_GPU_ENABLED RealType alpha() const { // Private data getter function. return a; } - RealType beta() const + BOOST_MATH_GPU_ENABLED RealType beta() const { // Private data getter function. return b; } - RealType non_centrality() const + BOOST_MATH_GPU_ENABLED RealType non_centrality() const { // Private data getter function. return ncp; } @@ -760,24 +765,24 @@ namespace boost // Non-member functions to give properties of the distribution. template <class RealType, class Policy> - inline const std::pair<RealType, RealType> range(const non_central_beta_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const non_central_beta_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable k. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), static_cast<RealType>(1)); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), static_cast<RealType>(1)); } template <class RealType, class Policy> - inline const std::pair<RealType, RealType> support(const non_central_beta_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const non_central_beta_distribution<RealType, Policy>& /* dist */) { // Range of supported values for random variable k. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), static_cast<RealType>(1)); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), static_cast<RealType>(1)); } template <class RealType, class Policy> - inline RealType mode(const non_central_beta_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mode(const non_central_beta_distribution<RealType, Policy>& dist) { // mode. - static const char* function = "mode(non_central_beta_distribution<%1%> const&)"; + constexpr auto function = "mode(non_central_beta_distribution<%1%> const&)"; RealType a = dist.alpha(); RealType b = dist.beta(); @@ -812,7 +817,7 @@ namespace boost // later: // template <class RealType, class Policy> - inline RealType mean(const non_central_beta_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const non_central_beta_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING RealType a = dist.alpha(); @@ -823,7 +828,7 @@ namespace boost } // mean template <class RealType, class Policy> - inline RealType variance(const non_central_beta_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const non_central_beta_distribution<RealType, Policy>& dist) { // // Relative error of this function may be arbitrarily large... absolute @@ -843,41 +848,41 @@ namespace boost // RealType standard_deviation(const non_central_beta_distribution<RealType, Policy>& dist) // standard_deviation provided by derived accessors. template <class RealType, class Policy> - inline RealType skewness(const non_central_beta_distribution<RealType, Policy>& /*dist*/) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const non_central_beta_distribution<RealType, Policy>& /*dist*/) { // skewness = sqrt(l). const char* function = "boost::math::non_central_beta_distribution<%1%>::skewness()"; typedef typename Policy::assert_undefined_type assert_type; - static_assert(assert_type::value == 0, "Assert type is undefined."); + static_assert(assert_type::value == 0, "The Non Central Beta Distribution has no skewness."); return policies::raise_evaluation_error<RealType>(function, "This function is not yet implemented, the only sensible result is %1%.", // LCOV_EXCL_LINE - std::numeric_limits<RealType>::quiet_NaN(), Policy()); // infinity? LCOV_EXCL_LINE + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); // infinity? LCOV_EXCL_LINE } template <class RealType, class Policy> - inline RealType kurtosis_excess(const non_central_beta_distribution<RealType, Policy>& /*dist*/) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const non_central_beta_distribution<RealType, Policy>& /*dist*/) { const char* function = "boost::math::non_central_beta_distribution<%1%>::kurtosis_excess()"; typedef typename Policy::assert_undefined_type assert_type; - static_assert(assert_type::value == 0, "Assert type is undefined."); + static_assert(assert_type::value == 0, "The Non Central Beta Distribution has no kurtosis excess."); return policies::raise_evaluation_error<RealType>(function, "This function is not yet implemented, the only sensible result is %1%.", // LCOV_EXCL_LINE - std::numeric_limits<RealType>::quiet_NaN(), Policy()); // infinity? LCOV_EXCL_LINE + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); // infinity? LCOV_EXCL_LINE } // kurtosis_excess template <class RealType, class Policy> - inline RealType kurtosis(const non_central_beta_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const non_central_beta_distribution<RealType, Policy>& dist) { return kurtosis_excess(dist) + 3; } template <class RealType, class Policy> - inline RealType pdf(const non_central_beta_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType pdf(const non_central_beta_distribution<RealType, Policy>& dist, const RealType& x) { // Probability Density/Mass Function. return detail::nc_beta_pdf(dist, x); } // pdf template <class RealType, class Policy> - RealType cdf(const non_central_beta_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED RealType cdf(const non_central_beta_distribution<RealType, Policy>& dist, const RealType& x) { const char* function = "boost::math::non_central_beta_distribution<%1%>::cdf(%1%)"; RealType a = dist.alpha(); @@ -912,7 +917,7 @@ namespace boost } // cdf template <class RealType, class Policy> - RealType cdf(const complemented2_type<non_central_beta_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED RealType cdf(const complemented2_type<non_central_beta_distribution<RealType, Policy>, RealType>& c) { // Complemented Cumulative Distribution Function const char* function = "boost::math::non_central_beta_distribution<%1%>::cdf(%1%)"; non_central_beta_distribution<RealType, Policy> const& dist = c.dist; @@ -949,13 +954,13 @@ namespace boost } // ccdf template <class RealType, class Policy> - inline RealType quantile(const non_central_beta_distribution<RealType, Policy>& dist, const RealType& p) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const non_central_beta_distribution<RealType, Policy>& dist, const RealType& p) { // Quantile (or Percent Point) function. return detail::nc_beta_quantile(dist, p, false); } // quantile template <class RealType, class Policy> - inline RealType quantile(const complemented2_type<non_central_beta_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<non_central_beta_distribution<RealType, Policy>, RealType>& c) { // Quantile (or Percent Point) function. return detail::nc_beta_quantile(c.dist, c.param, true); } // quantile complement. diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/non_central_chi_squared.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/non_central_chi_squared.hpp index f59be9932c..5917b3732d 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/non_central_chi_squared.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/non_central_chi_squared.hpp @@ -1,7 +1,7 @@ // boost\math\distributions\non_central_chi_squared.hpp // Copyright John Maddock 2008. - +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt @@ -10,6 +10,10 @@ #ifndef BOOST_MATH_SPECIAL_NON_CENTRAL_CHI_SQUARE_HPP #define BOOST_MATH_SPECIAL_NON_CENTRAL_CHI_SQUARE_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/gamma.hpp> // for incomplete gamma. gamma_q #include <boost/math/special_functions/bessel.hpp> // for cyl_bessel_i @@ -21,6 +25,7 @@ #include <boost/math/tools/roots.hpp> // for root finding. #include <boost/math/distributions/detail/generic_mode.hpp> #include <boost/math/distributions/detail/generic_quantile.hpp> +#include <boost/math/policies/policy.hpp> namespace boost { @@ -33,7 +38,7 @@ namespace boost namespace detail{ template <class T, class Policy> - T non_central_chi_square_q(T x, T f, T theta, const Policy& pol, T init_sum = 0) + BOOST_MATH_GPU_ENABLED T non_central_chi_square_q(T x, T f, T theta, const Policy& pol, T init_sum = 0) { // // Computes the complement of the Non-Central Chi-Square @@ -62,7 +67,7 @@ namespace boost T lambda = theta / 2; T del = f / 2; T y = x / 2; - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T errtol = boost::math::policies::get_epsilon<T, Policy>(); T sum = init_sum; // @@ -89,7 +94,7 @@ namespace boost // recurrences: // long long i; - for(i = k; static_cast<std::uintmax_t>(i-k) < max_iter; ++i) + for(i = k; static_cast<boost::math::uintmax_t>(i-k) < max_iter; ++i) { T term = poisf * gamf; sum += term; @@ -100,7 +105,7 @@ namespace boost break; } //Error check: - if(static_cast<std::uintmax_t>(i-k) >= max_iter) + if(static_cast<boost::math::uintmax_t>(i-k) >= max_iter) return policies::raise_evaluation_error("cdf(non_central_chi_squared_distribution<%1%>, %1%)", "Series did not converge, closest value was %1%", sum, pol); // LCOV_EXCL_LINE // // Now backwards iteration: the gamma @@ -126,7 +131,7 @@ namespace boost } template <class T, class Policy> - T non_central_chi_square_p_ding(T x, T f, T theta, const Policy& pol, T init_sum = 0) + BOOST_MATH_GPU_ENABLED T non_central_chi_square_p_ding(T x, T f, T theta, const Policy& pol, T init_sum = 0) { // // This is an implementation of: @@ -155,12 +160,12 @@ namespace boost if(sum == 0) return sum; - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T errtol = boost::math::policies::get_epsilon<T, Policy>(); int i; T lterm(0), term(0); - for(i = 1; static_cast<std::uintmax_t>(i) < max_iter; ++i) + for(i = 1; static_cast<boost::math::uintmax_t>(i) < max_iter; ++i) { tk = tk * x / (f + 2 * i); uk = uk * lambda / i; @@ -172,14 +177,14 @@ namespace boost break; } //Error check: - if(static_cast<std::uintmax_t>(i) >= max_iter) + if(static_cast<boost::math::uintmax_t>(i) >= max_iter) return policies::raise_evaluation_error("cdf(non_central_chi_squared_distribution<%1%>, %1%)", "Series did not converge, closest value was %1%", sum, pol); // LCOV_EXCL_LINE return sum; } template <class T, class Policy> - T non_central_chi_square_p(T y, T n, T lambda, const Policy& pol, T init_sum) + BOOST_MATH_GPU_ENABLED T non_central_chi_square_p(T y, T n, T lambda, const Policy& pol, T init_sum) { // // This is taken more or less directly from: @@ -198,7 +203,7 @@ namespace boost // Special case: if(y == 0) return 0; - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T errtol = boost::math::policies::get_epsilon<T, Policy>(); T errorf(0), errorb(0); @@ -266,23 +271,23 @@ namespace boost errorf = poiskf * gamkf; sum += errorf; ++i; - }while((fabs(errorf / sum) > errtol) && (static_cast<std::uintmax_t>(i) < max_iter)); + }while((fabs(errorf / sum) > errtol) && (static_cast<boost::math::uintmax_t>(i) < max_iter)); //Error check: - if(static_cast<std::uintmax_t>(i) >= max_iter) + if(static_cast<boost::math::uintmax_t>(i) >= max_iter) return policies::raise_evaluation_error("cdf(non_central_chi_squared_distribution<%1%>, %1%)", "Series did not converge, closest value was %1%", sum, pol); // LCOV_EXCL_LINE return sum; } template <class T, class Policy> - T non_central_chi_square_pdf(T x, T n, T lambda, const Policy& pol) + BOOST_MATH_GPU_ENABLED T non_central_chi_square_pdf(T x, T n, T lambda, const Policy& pol) { // // As above but for the PDF: // BOOST_MATH_STD_USING - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T errtol = boost::math::policies::get_epsilon<T, Policy>(); T x2 = x / 2; T n2 = n / 2; @@ -298,7 +303,7 @@ namespace boost sum += pois; if(pois / sum < errtol) break; - if(static_cast<std::uintmax_t>(i - k) >= max_iter) + if(static_cast<boost::math::uintmax_t>(i - k) >= max_iter) return policies::raise_evaluation_error("pdf(non_central_chi_squared_distribution<%1%>, %1%)", "Series did not converge, closest value was %1%", sum, pol); // LCOV_EXCL_LINE pois *= l2 * x2 / ((i + 1) * (n2 + i)); } @@ -313,7 +318,7 @@ namespace boost } template <class RealType, class Policy> - inline RealType non_central_chi_squared_cdf(RealType x, RealType k, RealType l, bool invert, const Policy&) + BOOST_MATH_GPU_ENABLED inline RealType non_central_chi_squared_cdf(RealType x, RealType k, RealType l, bool invert, const Policy&) { typedef typename policies::evaluation<RealType, Policy>::type value_type; typedef typename policies::normalise< @@ -373,10 +378,10 @@ namespace boost template <class T, class Policy> struct nccs_quantile_functor { - nccs_quantile_functor(const non_central_chi_squared_distribution<T,Policy>& d, T t, bool c) + BOOST_MATH_GPU_ENABLED nccs_quantile_functor(const non_central_chi_squared_distribution<T,Policy>& d, T t, bool c) : dist(d), target(t), comp(c) {} - T operator()(const T& x) + BOOST_MATH_GPU_ENABLED T operator()(const T& x) { return comp ? target - cdf(complement(dist, x)) @@ -390,10 +395,10 @@ namespace boost }; template <class RealType, class Policy> - RealType nccs_quantile(const non_central_chi_squared_distribution<RealType, Policy>& dist, const RealType& p, bool comp) + BOOST_MATH_GPU_ENABLED RealType nccs_quantile(const non_central_chi_squared_distribution<RealType, Policy>& dist, const RealType& p, bool comp) { BOOST_MATH_STD_USING - static const char* function = "quantile(non_central_chi_squared_distribution<%1%>, %1%)"; + constexpr auto function = "quantile(non_central_chi_squared_distribution<%1%>, %1%)"; typedef typename policies::evaluation<RealType, Policy>::type value_type; typedef typename policies::normalise< Policy, @@ -481,10 +486,10 @@ namespace boost } template <class RealType, class Policy> - RealType nccs_pdf(const non_central_chi_squared_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED RealType nccs_pdf(const non_central_chi_squared_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING - static const char* function = "pdf(non_central_chi_squared_distribution<%1%>, %1%)"; + constexpr auto function = "pdf(non_central_chi_squared_distribution<%1%>, %1%)"; typedef typename policies::evaluation<RealType, Policy>::type value_type; typedef typename policies::normalise< Policy, @@ -545,11 +550,11 @@ namespace boost template <class RealType, class Policy> struct degrees_of_freedom_finder { - degrees_of_freedom_finder( + BOOST_MATH_GPU_ENABLED degrees_of_freedom_finder( RealType lam_, RealType x_, RealType p_, bool c) : lam(lam_), x(x_), p(p_), comp(c) {} - RealType operator()(const RealType& v) + BOOST_MATH_GPU_ENABLED RealType operator()(const RealType& v) { non_central_chi_squared_distribution<RealType, Policy> d(v, lam); return comp ? @@ -564,21 +569,21 @@ namespace boost }; template <class RealType, class Policy> - inline RealType find_degrees_of_freedom( + BOOST_MATH_GPU_ENABLED inline RealType find_degrees_of_freedom( RealType lam, RealType x, RealType p, RealType q, const Policy& pol) { - const char* function = "non_central_chi_squared<%1%>::find_degrees_of_freedom"; + constexpr auto function = "non_central_chi_squared<%1%>::find_degrees_of_freedom"; if((p == 0) || (q == 0)) { // // Can't a thing if one of p and q is zero: // return policies::raise_evaluation_error<RealType>(function, "Can't find degrees of freedom when the probability is 0 or 1, only possible answer is %1%", // LCOV_EXCL_LINE - RealType(std::numeric_limits<RealType>::quiet_NaN()), Policy()); // LCOV_EXCL_LINE + RealType(boost::math::numeric_limits<RealType>::quiet_NaN()), Policy()); // LCOV_EXCL_LINE } degrees_of_freedom_finder<RealType, Policy> f(lam, x, p < q ? p : q, p < q ? false : true); tools::eps_tolerance<RealType> tol(policies::digits<RealType, Policy>()); - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); // // Pick an initial guess that we know will give us a probability // right around 0.5. @@ -586,7 +591,7 @@ namespace boost RealType guess = x - lam; if(guess < 1) guess = 1; - std::pair<RealType, RealType> ir = tools::bracket_and_solve_root( + boost::math::pair<RealType, RealType> ir = tools::bracket_and_solve_root( f, guess, RealType(2), false, tol, max_iter, pol); RealType result = ir.first + (ir.second - ir.first) / 2; if(max_iter >= policies::get_max_root_iterations<Policy>()) @@ -600,11 +605,11 @@ namespace boost template <class RealType, class Policy> struct non_centrality_finder { - non_centrality_finder( + BOOST_MATH_GPU_ENABLED non_centrality_finder( RealType v_, RealType x_, RealType p_, bool c) : v(v_), x(x_), p(p_), comp(c) {} - RealType operator()(const RealType& lam) + BOOST_MATH_GPU_ENABLED RealType operator()(const RealType& lam) { non_central_chi_squared_distribution<RealType, Policy> d(v, lam); return comp ? @@ -619,21 +624,21 @@ namespace boost }; template <class RealType, class Policy> - inline RealType find_non_centrality( + BOOST_MATH_GPU_ENABLED inline RealType find_non_centrality( RealType v, RealType x, RealType p, RealType q, const Policy& pol) { - const char* function = "non_central_chi_squared<%1%>::find_non_centrality"; + constexpr auto function = "non_central_chi_squared<%1%>::find_non_centrality"; if((p == 0) || (q == 0)) { // // Can't do a thing if one of p and q is zero: // return policies::raise_evaluation_error<RealType>(function, "Can't find non centrality parameter when the probability is 0 or 1, only possible answer is %1%", // LCOV_EXCL_LINE - RealType(std::numeric_limits<RealType>::quiet_NaN()), Policy()); // LCOV_EXCL_LINE + RealType(boost::math::numeric_limits<RealType>::quiet_NaN()), Policy()); // LCOV_EXCL_LINE } non_centrality_finder<RealType, Policy> f(v, x, p < q ? p : q, p < q ? false : true); tools::eps_tolerance<RealType> tol(policies::digits<RealType, Policy>()); - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); // // Pick an initial guess that we know will give us a probability // right around 0.5. @@ -641,7 +646,7 @@ namespace boost RealType guess = x - v; if(guess < 1) guess = 1; - std::pair<RealType, RealType> ir = tools::bracket_and_solve_root( + boost::math::pair<RealType, RealType> ir = tools::bracket_and_solve_root( f, guess, RealType(2), false, tol, max_iter, pol); RealType result = ir.first + (ir.second - ir.first) / 2; if(max_iter >= policies::get_max_root_iterations<Policy>()) @@ -661,9 +666,9 @@ namespace boost typedef RealType value_type; typedef Policy policy_type; - non_central_chi_squared_distribution(RealType df_, RealType lambda) : df(df_), ncp(lambda) + BOOST_MATH_GPU_ENABLED non_central_chi_squared_distribution(RealType df_, RealType lambda) : df(df_), ncp(lambda) { - const char* function = "boost::math::non_central_chi_squared_distribution<%1%>::non_central_chi_squared_distribution(%1%,%1%)"; + constexpr auto function = "boost::math::non_central_chi_squared_distribution<%1%>::non_central_chi_squared_distribution(%1%,%1%)"; RealType r; detail::check_df( function, @@ -675,17 +680,17 @@ namespace boost Policy()); } // non_central_chi_squared_distribution constructor. - RealType degrees_of_freedom() const + BOOST_MATH_GPU_ENABLED RealType degrees_of_freedom() const { // Private data getter function. return df; } - RealType non_centrality() const + BOOST_MATH_GPU_ENABLED RealType non_centrality() const { // Private data getter function. return ncp; } - static RealType find_degrees_of_freedom(RealType lam, RealType x, RealType p) + BOOST_MATH_GPU_ENABLED static RealType find_degrees_of_freedom(RealType lam, RealType x, RealType p) { - const char* function = "non_central_chi_squared<%1%>::find_degrees_of_freedom"; + constexpr auto function = "non_central_chi_squared<%1%>::find_degrees_of_freedom"; typedef typename policies::evaluation<RealType, Policy>::type eval_type; typedef typename policies::normalise< Policy, @@ -704,9 +709,9 @@ namespace boost function); } template <class A, class B, class C> - static RealType find_degrees_of_freedom(const complemented3_type<A,B,C>& c) + BOOST_MATH_GPU_ENABLED static RealType find_degrees_of_freedom(const complemented3_type<A,B,C>& c) { - const char* function = "non_central_chi_squared<%1%>::find_degrees_of_freedom"; + constexpr auto function = "non_central_chi_squared<%1%>::find_degrees_of_freedom"; typedef typename policies::evaluation<RealType, Policy>::type eval_type; typedef typename policies::normalise< Policy, @@ -724,9 +729,9 @@ namespace boost result, function); } - static RealType find_non_centrality(RealType v, RealType x, RealType p) + BOOST_MATH_GPU_ENABLED static RealType find_non_centrality(RealType v, RealType x, RealType p) { - const char* function = "non_central_chi_squared<%1%>::find_non_centrality"; + constexpr auto function = "non_central_chi_squared<%1%>::find_non_centrality"; typedef typename policies::evaluation<RealType, Policy>::type eval_type; typedef typename policies::normalise< Policy, @@ -745,9 +750,9 @@ namespace boost function); } template <class A, class B, class C> - static RealType find_non_centrality(const complemented3_type<A,B,C>& c) + BOOST_MATH_GPU_ENABLED static RealType find_non_centrality(const complemented3_type<A,B,C>& c) { - const char* function = "non_central_chi_squared<%1%>::find_non_centrality"; + constexpr auto function = "non_central_chi_squared<%1%>::find_non_centrality"; typedef typename policies::evaluation<RealType, Policy>::type eval_type; typedef typename policies::normalise< Policy, @@ -781,24 +786,24 @@ namespace boost // Non-member functions to give properties of the distribution. template <class RealType, class Policy> - inline const std::pair<RealType, RealType> range(const non_central_chi_squared_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const non_central_chi_squared_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable k. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // Max integer? + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // Max integer? } template <class RealType, class Policy> - inline const std::pair<RealType, RealType> support(const non_central_chi_squared_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const non_central_chi_squared_distribution<RealType, Policy>& /* dist */) { // Range of supported values for random variable k. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> - inline RealType mean(const non_central_chi_squared_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const non_central_chi_squared_distribution<RealType, Policy>& dist) { // Mean of poisson distribution = lambda. - const char* function = "boost::math::non_central_chi_squared_distribution<%1%>::mean()"; + constexpr auto function = "boost::math::non_central_chi_squared_distribution<%1%>::mean()"; RealType k = dist.degrees_of_freedom(); RealType l = dist.non_centrality(); RealType r; @@ -816,9 +821,9 @@ namespace boost } // mean template <class RealType, class Policy> - inline RealType mode(const non_central_chi_squared_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mode(const non_central_chi_squared_distribution<RealType, Policy>& dist) { // mode. - static const char* function = "mode(non_central_chi_squared_distribution<%1%> const&)"; + constexpr auto function = "mode(non_central_chi_squared_distribution<%1%> const&)"; RealType k = dist.degrees_of_freedom(); RealType l = dist.non_centrality(); @@ -839,9 +844,9 @@ namespace boost } template <class RealType, class Policy> - inline RealType variance(const non_central_chi_squared_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const non_central_chi_squared_distribution<RealType, Policy>& dist) { // variance. - const char* function = "boost::math::non_central_chi_squared_distribution<%1%>::variance()"; + constexpr auto function = "boost::math::non_central_chi_squared_distribution<%1%>::variance()"; RealType k = dist.degrees_of_freedom(); RealType l = dist.non_centrality(); RealType r; @@ -862,9 +867,9 @@ namespace boost // standard_deviation provided by derived accessors. template <class RealType, class Policy> - inline RealType skewness(const non_central_chi_squared_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const non_central_chi_squared_distribution<RealType, Policy>& dist) { // skewness = sqrt(l). - const char* function = "boost::math::non_central_chi_squared_distribution<%1%>::skewness()"; + constexpr auto function = "boost::math::non_central_chi_squared_distribution<%1%>::skewness()"; RealType k = dist.degrees_of_freedom(); RealType l = dist.non_centrality(); RealType r; @@ -883,9 +888,9 @@ namespace boost } template <class RealType, class Policy> - inline RealType kurtosis_excess(const non_central_chi_squared_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const non_central_chi_squared_distribution<RealType, Policy>& dist) { - const char* function = "boost::math::non_central_chi_squared_distribution<%1%>::kurtosis_excess()"; + constexpr auto function = "boost::math::non_central_chi_squared_distribution<%1%>::kurtosis_excess()"; RealType k = dist.degrees_of_freedom(); RealType l = dist.non_centrality(); RealType r; @@ -903,21 +908,21 @@ namespace boost } // kurtosis_excess template <class RealType, class Policy> - inline RealType kurtosis(const non_central_chi_squared_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const non_central_chi_squared_distribution<RealType, Policy>& dist) { return kurtosis_excess(dist) + 3; } template <class RealType, class Policy> - inline RealType pdf(const non_central_chi_squared_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType pdf(const non_central_chi_squared_distribution<RealType, Policy>& dist, const RealType& x) { // Probability Density/Mass Function. return detail::nccs_pdf(dist, x); } // pdf template <class RealType, class Policy> - RealType cdf(const non_central_chi_squared_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED RealType cdf(const non_central_chi_squared_distribution<RealType, Policy>& dist, const RealType& x) { - const char* function = "boost::math::non_central_chi_squared_distribution<%1%>::cdf(%1%)"; + constexpr auto function = "boost::math::non_central_chi_squared_distribution<%1%>::cdf(%1%)"; RealType k = dist.degrees_of_freedom(); RealType l = dist.non_centrality(); RealType r; @@ -942,9 +947,9 @@ namespace boost } // cdf template <class RealType, class Policy> - RealType cdf(const complemented2_type<non_central_chi_squared_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED RealType cdf(const complemented2_type<non_central_chi_squared_distribution<RealType, Policy>, RealType>& c) { // Complemented Cumulative Distribution Function - const char* function = "boost::math::non_central_chi_squared_distribution<%1%>::cdf(%1%)"; + constexpr auto function = "boost::math::non_central_chi_squared_distribution<%1%>::cdf(%1%)"; non_central_chi_squared_distribution<RealType, Policy> const& dist = c.dist; RealType x = c.param; RealType k = dist.degrees_of_freedom(); @@ -971,13 +976,13 @@ namespace boost } // ccdf template <class RealType, class Policy> - inline RealType quantile(const non_central_chi_squared_distribution<RealType, Policy>& dist, const RealType& p) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const non_central_chi_squared_distribution<RealType, Policy>& dist, const RealType& p) { // Quantile (or Percent Point) function. return detail::nccs_quantile(dist, p, false); } // quantile template <class RealType, class Policy> - inline RealType quantile(const complemented2_type<non_central_chi_squared_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<non_central_chi_squared_distribution<RealType, Policy>, RealType>& c) { // Quantile (or Percent Point) function. return detail::nccs_quantile(c.dist, c.param, true); } // quantile complement. diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/non_central_f.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/non_central_f.hpp index e93d03e597..dedd437144 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/non_central_f.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/non_central_f.hpp @@ -1,7 +1,7 @@ // boost\math\distributions\non_central_f.hpp // Copyright John Maddock 2008. - +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt @@ -10,9 +10,13 @@ #ifndef BOOST_MATH_SPECIAL_NON_CENTRAL_F_HPP #define BOOST_MATH_SPECIAL_NON_CENTRAL_F_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/promotion.hpp> #include <boost/math/distributions/non_central_beta.hpp> #include <boost/math/distributions/detail/generic_mode.hpp> #include <boost/math/special_functions/pow.hpp> +#include <boost/math/policies/policy.hpp> namespace boost { @@ -25,9 +29,9 @@ namespace boost typedef RealType value_type; typedef Policy policy_type; - non_central_f_distribution(RealType v1_, RealType v2_, RealType lambda) : v1(v1_), v2(v2_), ncp(lambda) + BOOST_MATH_GPU_ENABLED non_central_f_distribution(RealType v1_, RealType v2_, RealType lambda) : v1(v1_), v2(v2_), ncp(lambda) { - const char* function = "boost::math::non_central_f_distribution<%1%>::non_central_f_distribution(%1%,%1%)"; + constexpr auto function = "boost::math::non_central_f_distribution<%1%>::non_central_f_distribution(%1%,%1%)"; RealType r; detail::check_df( function, @@ -42,15 +46,15 @@ namespace boost Policy()); } // non_central_f_distribution constructor. - RealType degrees_of_freedom1()const + BOOST_MATH_GPU_ENABLED RealType degrees_of_freedom1()const { return v1; } - RealType degrees_of_freedom2()const + BOOST_MATH_GPU_ENABLED RealType degrees_of_freedom2()const { return v2; } - RealType non_centrality() const + BOOST_MATH_GPU_ENABLED RealType non_centrality() const { // Private data getter function. return ncp; } @@ -71,24 +75,24 @@ namespace boost // Non-member functions to give properties of the distribution. template <class RealType, class Policy> - inline const std::pair<RealType, RealType> range(const non_central_f_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const non_central_f_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable k. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> - inline const std::pair<RealType, RealType> support(const non_central_f_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const non_central_f_distribution<RealType, Policy>& /* dist */) { // Range of supported values for random variable k. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> - inline RealType mean(const non_central_f_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const non_central_f_distribution<RealType, Policy>& dist) { - const char* function = "mean(non_central_f_distribution<%1%> const&)"; + constexpr auto function = "mean(non_central_f_distribution<%1%> const&)"; RealType v1 = dist.degrees_of_freedom1(); RealType v2 = dist.degrees_of_freedom2(); RealType l = dist.non_centrality(); @@ -116,9 +120,9 @@ namespace boost } // mean template <class RealType, class Policy> - inline RealType mode(const non_central_f_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mode(const non_central_f_distribution<RealType, Policy>& dist) { // mode. - static const char* function = "mode(non_central_chi_squared_distribution<%1%> const&)"; + constexpr auto function = "mode(non_central_chi_squared_distribution<%1%> const&)"; RealType n = dist.degrees_of_freedom1(); RealType m = dist.degrees_of_freedom2(); @@ -146,9 +150,9 @@ namespace boost } template <class RealType, class Policy> - inline RealType variance(const non_central_f_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const non_central_f_distribution<RealType, Policy>& dist) { // variance. - const char* function = "variance(non_central_f_distribution<%1%> const&)"; + constexpr auto function = "variance(non_central_f_distribution<%1%> const&)"; RealType n = dist.degrees_of_freedom1(); RealType m = dist.degrees_of_freedom2(); RealType l = dist.non_centrality(); @@ -182,9 +186,9 @@ namespace boost // standard_deviation provided by derived accessors. template <class RealType, class Policy> - inline RealType skewness(const non_central_f_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const non_central_f_distribution<RealType, Policy>& dist) { // skewness = sqrt(l). - const char* function = "skewness(non_central_f_distribution<%1%> const&)"; + constexpr auto function = "skewness(non_central_f_distribution<%1%> const&)"; BOOST_MATH_STD_USING RealType n = dist.degrees_of_freedom1(); RealType m = dist.degrees_of_freedom2(); @@ -219,9 +223,9 @@ namespace boost } template <class RealType, class Policy> - inline RealType kurtosis_excess(const non_central_f_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const non_central_f_distribution<RealType, Policy>& dist) { - const char* function = "kurtosis_excess(non_central_f_distribution<%1%> const&)"; + constexpr auto function = "kurtosis_excess(non_central_f_distribution<%1%> const&)"; BOOST_MATH_STD_USING RealType n = dist.degrees_of_freedom1(); RealType m = dist.degrees_of_freedom2(); @@ -266,13 +270,13 @@ namespace boost } // kurtosis_excess template <class RealType, class Policy> - inline RealType kurtosis(const non_central_f_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const non_central_f_distribution<RealType, Policy>& dist) { return kurtosis_excess(dist) + 3; } template <class RealType, class Policy> - inline RealType pdf(const non_central_f_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType pdf(const non_central_f_distribution<RealType, Policy>& dist, const RealType& x) { // Probability Density/Mass Function. typedef typename policies::evaluation<RealType, Policy>::type value_type; typedef typename policies::normalise< @@ -292,9 +296,9 @@ namespace boost } // pdf template <class RealType, class Policy> - RealType cdf(const non_central_f_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED RealType cdf(const non_central_f_distribution<RealType, Policy>& dist, const RealType& x) { - const char* function = "cdf(const non_central_f_distribution<%1%>&, %1%)"; + constexpr auto function = "cdf(const non_central_f_distribution<%1%>&, %1%)"; RealType r; if(!detail::check_df( function, @@ -333,9 +337,9 @@ namespace boost } // cdf template <class RealType, class Policy> - RealType cdf(const complemented2_type<non_central_f_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED RealType cdf(const complemented2_type<non_central_f_distribution<RealType, Policy>, RealType>& c) { // Complemented Cumulative Distribution Function - const char* function = "cdf(complement(const non_central_f_distribution<%1%>&, %1%))"; + constexpr auto function = "cdf(complement(const non_central_f_distribution<%1%>&, %1%))"; RealType r; if(!detail::check_df( function, @@ -374,7 +378,7 @@ namespace boost } // ccdf template <class RealType, class Policy> - inline RealType quantile(const non_central_f_distribution<RealType, Policy>& dist, const RealType& p) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const non_central_f_distribution<RealType, Policy>& dist, const RealType& p) { // Quantile (or Percent Point) function. RealType alpha = dist.degrees_of_freedom1() / 2; RealType beta = dist.degrees_of_freedom2() / 2; @@ -388,7 +392,7 @@ namespace boost } // quantile template <class RealType, class Policy> - inline RealType quantile(const complemented2_type<non_central_f_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<non_central_f_distribution<RealType, Policy>, RealType>& c) { // Quantile (or Percent Point) function. RealType alpha = c.dist.degrees_of_freedom1() / 2; RealType beta = c.dist.degrees_of_freedom2() / 2; diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/normal.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/normal.hpp index 70259e62b1..9d973fb539 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/normal.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/normal.hpp @@ -1,6 +1,6 @@ // Copyright John Maddock 2006, 2007. // Copyright Paul A. Bristow 2006, 2007. - +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -15,13 +15,15 @@ // From MathWorld--A Wolfram Web Resource. // http://mathworld.wolfram.com/NormalDistribution.html +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/erf.hpp> // for erf/erfc. #include <boost/math/distributions/complement.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> - -#include <utility> -#include <type_traits> +#include <boost/math/constants/constants.hpp> +#include <boost/math/policies/policy.hpp> namespace boost{ namespace math{ @@ -32,32 +34,32 @@ public: using value_type = RealType; using policy_type = Policy; - explicit normal_distribution(RealType l_mean = 0, RealType sd = 1) + BOOST_MATH_GPU_ENABLED explicit normal_distribution(RealType l_mean = 0, RealType sd = 1) : m_mean(l_mean), m_sd(sd) { // Default is a 'standard' normal distribution N01. - static const char* function = "boost::math::normal_distribution<%1%>::normal_distribution"; + constexpr auto function = "boost::math::normal_distribution<%1%>::normal_distribution"; RealType result; detail::check_scale(function, sd, &result, Policy()); detail::check_location(function, l_mean, &result, Policy()); } - RealType mean()const + BOOST_MATH_GPU_ENABLED RealType mean()const { // alias for location. return m_mean; } - RealType standard_deviation()const + BOOST_MATH_GPU_ENABLED RealType standard_deviation()const { // alias for scale. return m_sd; } // Synonyms, provided to allow generic use of find_location and find_scale. - RealType location()const + BOOST_MATH_GPU_ENABLED RealType location()const { // location. return m_mean; } - RealType scale()const + BOOST_MATH_GPU_ENABLED RealType scale()const { // scale. return m_sd; } @@ -92,30 +94,30 @@ normal_distribution(RealType)->normal_distribution<typename boost::math::tools:: #endif template <class RealType, class Policy> -inline std::pair<RealType, RealType> range(const normal_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> range(const normal_distribution<RealType, Policy>& /*dist*/) { // Range of permissible values for random variable x. - if (std::numeric_limits<RealType>::has_infinity) + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) { - return std::pair<RealType, RealType>(-std::numeric_limits<RealType>::infinity(), std::numeric_limits<RealType>::infinity()); // - to + infinity. + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. } else { // Can only use max_value. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max value. + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max value. } } template <class RealType, class Policy> -inline std::pair<RealType, RealType> support(const normal_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> support(const normal_distribution<RealType, Policy>& /*dist*/) { // This is range values for random variable x where cdf rises from 0 to 1, and outside it, the pdf is zero. - if (std::numeric_limits<RealType>::has_infinity) + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) { - return std::pair<RealType, RealType>(-std::numeric_limits<RealType>::infinity(), std::numeric_limits<RealType>::infinity()); // - to + infinity. + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. } else { // Can only use max_value. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max value. + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max value. } } @@ -124,14 +126,14 @@ inline std::pair<RealType, RealType> support(const normal_distribution<RealType, #endif template <class RealType, class Policy> -inline RealType pdf(const normal_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType pdf(const normal_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions RealType sd = dist.standard_deviation(); RealType mean = dist.mean(); - static const char* function = "boost::math::pdf(const normal_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const normal_distribution<%1%>&, %1%)"; RealType result = 0; if(false == detail::check_scale(function, sd, &result, Policy())) @@ -162,16 +164,16 @@ inline RealType pdf(const normal_distribution<RealType, Policy>& dist, const Rea } // pdf template <class RealType, class Policy> -inline RealType logpdf(const normal_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logpdf(const normal_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions const RealType sd = dist.standard_deviation(); const RealType mean = dist.mean(); - static const char* function = "boost::math::logpdf(const normal_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logpdf(const normal_distribution<%1%>&, %1%)"; - RealType result = -std::numeric_limits<RealType>::infinity(); + RealType result = -boost::math::numeric_limits<RealType>::infinity(); if(false == detail::check_scale(function, sd, &result, Policy())) { return result; @@ -198,13 +200,13 @@ inline RealType logpdf(const normal_distribution<RealType, Policy>& dist, const } template <class RealType, class Policy> -inline RealType cdf(const normal_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const normal_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions RealType sd = dist.standard_deviation(); RealType mean = dist.mean(); - static const char* function = "boost::math::cdf(const normal_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const normal_distribution<%1%>&, %1%)"; RealType result = 0; if(false == detail::check_scale(function, sd, &result, Policy())) { @@ -229,13 +231,13 @@ inline RealType cdf(const normal_distribution<RealType, Policy>& dist, const Rea } // cdf template <class RealType, class Policy> -inline RealType quantile(const normal_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const normal_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std functions RealType sd = dist.standard_deviation(); RealType mean = dist.mean(); - static const char* function = "boost::math::quantile(const normal_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const normal_distribution<%1%>&, %1%)"; RealType result = 0; if(false == detail::check_scale(function, sd, &result, Policy())) @@ -253,14 +255,14 @@ inline RealType quantile(const normal_distribution<RealType, Policy>& dist, cons } // quantile template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<normal_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<normal_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions RealType sd = c.dist.standard_deviation(); RealType mean = c.dist.mean(); RealType x = c.param; - static const char* function = "boost::math::cdf(const complement(normal_distribution<%1%>&), %1%)"; + constexpr auto function = "boost::math::cdf(const complement(normal_distribution<%1%>&), %1%)"; RealType result = 0; if(false == detail::check_scale(function, sd, &result, Policy())) @@ -281,13 +283,13 @@ inline RealType cdf(const complemented2_type<normal_distribution<RealType, Polic } // cdf complement template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<normal_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<normal_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions RealType sd = c.dist.standard_deviation(); RealType mean = c.dist.mean(); - static const char* function = "boost::math::quantile(const complement(normal_distribution<%1%>&), %1%)"; + constexpr auto function = "boost::math::quantile(const complement(normal_distribution<%1%>&), %1%)"; RealType result = 0; if(false == detail::check_scale(function, sd, &result, Policy())) return result; @@ -303,51 +305,51 @@ inline RealType quantile(const complemented2_type<normal_distribution<RealType, } // quantile template <class RealType, class Policy> -inline RealType mean(const normal_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const normal_distribution<RealType, Policy>& dist) { return dist.mean(); } template <class RealType, class Policy> -inline RealType standard_deviation(const normal_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType standard_deviation(const normal_distribution<RealType, Policy>& dist) { return dist.standard_deviation(); } template <class RealType, class Policy> -inline RealType mode(const normal_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const normal_distribution<RealType, Policy>& dist) { return dist.mean(); } template <class RealType, class Policy> -inline RealType median(const normal_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType median(const normal_distribution<RealType, Policy>& dist) { return dist.mean(); } template <class RealType, class Policy> -inline RealType skewness(const normal_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const normal_distribution<RealType, Policy>& /*dist*/) { return 0; } template <class RealType, class Policy> -inline RealType kurtosis(const normal_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const normal_distribution<RealType, Policy>& /*dist*/) { return 3; } template <class RealType, class Policy> -inline RealType kurtosis_excess(const normal_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const normal_distribution<RealType, Policy>& /*dist*/) { return 0; } template <class RealType, class Policy> -inline RealType entropy(const normal_distribution<RealType, Policy> & dist) +BOOST_MATH_GPU_ENABLED inline RealType entropy(const normal_distribution<RealType, Policy> & dist) { - using std::log; + BOOST_MATH_STD_USING RealType arg = constants::two_pi<RealType>()*constants::e<RealType>()*dist.standard_deviation()*dist.standard_deviation(); return log(arg)/2; } diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/pareto.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/pareto.hpp index 778310d10e..97cf8024a0 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/pareto.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/pareto.hpp @@ -17,16 +17,15 @@ // Handbook of Statistical Distributions with Applications, K Krishnamoorthy, ISBN 1-58488-635-8, Chapter 23, pp 257 - 267. // Caution KK's a and b are the reverse of Mathworld! +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/distributions/complement.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> #include <boost/math/special_functions/powm1.hpp> #include <boost/math/special_functions/log1p.hpp> -#include <utility> // for BOOST_CURRENT_VALUE? -#include <limits> -#include <cmath> - namespace boost { namespace math @@ -34,7 +33,7 @@ namespace boost namespace detail { // Parameter checking. template <class RealType, class Policy> - inline bool check_pareto_scale( + BOOST_MATH_GPU_ENABLED inline bool check_pareto_scale( const char* function, RealType scale, RealType* result, const Policy& pol) @@ -63,7 +62,7 @@ namespace boost } // bool check_pareto_scale template <class RealType, class Policy> - inline bool check_pareto_shape( + BOOST_MATH_GPU_ENABLED inline bool check_pareto_shape( const char* function, RealType shape, RealType* result, const Policy& pol) @@ -92,7 +91,7 @@ namespace boost } // bool check_pareto_shape( template <class RealType, class Policy> - inline bool check_pareto_x( + BOOST_MATH_GPU_ENABLED inline bool check_pareto_x( const char* function, RealType const& x, RealType* result, const Policy& pol) @@ -121,7 +120,7 @@ namespace boost } // bool check_pareto_x template <class RealType, class Policy> - inline bool check_pareto( // distribution parameters. + BOOST_MATH_GPU_ENABLED inline bool check_pareto( // distribution parameters. const char* function, RealType scale, RealType shape, @@ -140,19 +139,19 @@ namespace boost typedef RealType value_type; typedef Policy policy_type; - pareto_distribution(RealType l_scale = 1, RealType l_shape = 1) + BOOST_MATH_GPU_ENABLED pareto_distribution(RealType l_scale = 1, RealType l_shape = 1) : m_scale(l_scale), m_shape(l_shape) { // Constructor. RealType result = 0; detail::check_pareto("boost::math::pareto_distribution<%1%>::pareto_distribution", l_scale, l_shape, &result, Policy()); } - RealType scale()const + BOOST_MATH_GPU_ENABLED RealType scale()const { // AKA Xm and Wolfram b and beta return m_scale; } - RealType shape()const + BOOST_MATH_GPU_ENABLED RealType shape()const { // AKA k and Wolfram a and alpha return m_shape; } @@ -173,25 +172,25 @@ namespace boost template <class RealType, class Policy> - inline const std::pair<RealType, RealType> range(const pareto_distribution<RealType, Policy>& /*dist*/) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const pareto_distribution<RealType, Policy>& /*dist*/) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // scale zero to + infinity. + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // scale zero to + infinity. } // range template <class RealType, class Policy> - inline const std::pair<RealType, RealType> support(const pareto_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const pareto_distribution<RealType, Policy>& dist) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(dist.scale(), max_value<RealType>() ); // scale to + infinity. + return boost::math::pair<RealType, RealType>(dist.scale(), max_value<RealType>() ); // scale to + infinity. } // support template <class RealType, class Policy> - inline RealType pdf(const pareto_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType pdf(const pareto_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std function pow. - static const char* function = "boost::math::pdf(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const pareto_distribution<%1%>&, %1%)"; RealType scale = dist.scale(); RealType shape = dist.shape(); RealType result = 0; @@ -207,10 +206,10 @@ namespace boost } // pdf template <class RealType, class Policy> - inline RealType cdf(const pareto_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const pareto_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std function pow. - static const char* function = "boost::math::cdf(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const pareto_distribution<%1%>&, %1%)"; RealType scale = dist.scale(); RealType shape = dist.shape(); RealType result = 0; @@ -230,10 +229,10 @@ namespace boost } // cdf template <class RealType, class Policy> - inline RealType logcdf(const pareto_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType logcdf(const pareto_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std function pow. - static const char* function = "boost::math::logcdf(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logcdf(const pareto_distribution<%1%>&, %1%)"; RealType scale = dist.scale(); RealType shape = dist.shape(); RealType result = 0; @@ -244,7 +243,7 @@ namespace boost if (x <= scale) { // regardless of shape, cdf is zero. - return -std::numeric_limits<RealType>::infinity(); + return -boost::math::numeric_limits<RealType>::infinity(); } result = log1p(-pow(scale/x, shape), Policy()); @@ -252,10 +251,10 @@ namespace boost } // logcdf template <class RealType, class Policy> - inline RealType quantile(const pareto_distribution<RealType, Policy>& dist, const RealType& p) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const pareto_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std function pow. - static const char* function = "boost::math::quantile(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const pareto_distribution<%1%>&, %1%)"; RealType result = 0; RealType scale = dist.scale(); RealType shape = dist.shape(); @@ -279,10 +278,10 @@ namespace boost } // quantile template <class RealType, class Policy> - inline RealType cdf(const complemented2_type<pareto_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<pareto_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std function pow. - static const char* function = "boost::math::cdf(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const pareto_distribution<%1%>&, %1%)"; RealType result = 0; RealType x = c.param; RealType scale = c.dist.scale(); @@ -301,10 +300,10 @@ namespace boost } // cdf complement template <class RealType, class Policy> - inline RealType logcdf(const complemented2_type<pareto_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType logcdf(const complemented2_type<pareto_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std function pow. - static const char* function = "boost::math::logcdf(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logcdf(const pareto_distribution<%1%>&, %1%)"; RealType result = 0; RealType x = c.param; RealType scale = c.dist.scale(); @@ -323,10 +322,10 @@ namespace boost } // logcdf complement template <class RealType, class Policy> - inline RealType quantile(const complemented2_type<pareto_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<pareto_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std function pow. - static const char* function = "boost::math::quantile(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const pareto_distribution<%1%>&, %1%)"; RealType result = 0; RealType q = c.param; RealType scale = c.dist.scale(); @@ -350,10 +349,10 @@ namespace boost } // quantile complement template <class RealType, class Policy> - inline RealType mean(const pareto_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const pareto_distribution<RealType, Policy>& dist) { RealType result = 0; - static const char* function = "boost::math::mean(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::mean(const pareto_distribution<%1%>&, %1%)"; if(false == detail::check_pareto(function, dist.scale(), dist.shape(), &result, Policy())) { return result; @@ -370,16 +369,16 @@ namespace boost } // mean template <class RealType, class Policy> - inline RealType mode(const pareto_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mode(const pareto_distribution<RealType, Policy>& dist) { return dist.scale(); } // mode template <class RealType, class Policy> - inline RealType median(const pareto_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType median(const pareto_distribution<RealType, Policy>& dist) { RealType result = 0; - static const char* function = "boost::math::median(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::median(const pareto_distribution<%1%>&, %1%)"; if(false == detail::check_pareto(function, dist.scale(), dist.shape(), &result, Policy())) { return result; @@ -389,12 +388,12 @@ namespace boost } // median template <class RealType, class Policy> - inline RealType variance(const pareto_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const pareto_distribution<RealType, Policy>& dist) { RealType result = 0; RealType scale = dist.scale(); RealType shape = dist.shape(); - static const char* function = "boost::math::variance(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::variance(const pareto_distribution<%1%>&, %1%)"; if(false == detail::check_pareto(function, scale, shape, &result, Policy())) { return result; @@ -414,12 +413,12 @@ namespace boost } // variance template <class RealType, class Policy> - inline RealType skewness(const pareto_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const pareto_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING RealType result = 0; RealType shape = dist.shape(); - static const char* function = "boost::math::pdf(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const pareto_distribution<%1%>&, %1%)"; if(false == detail::check_pareto(function, dist.scale(), shape, &result, Policy())) { return result; @@ -440,11 +439,11 @@ namespace boost } // skewness template <class RealType, class Policy> - inline RealType kurtosis(const pareto_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const pareto_distribution<RealType, Policy>& dist) { RealType result = 0; RealType shape = dist.shape(); - static const char* function = "boost::math::pdf(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const pareto_distribution<%1%>&, %1%)"; if(false == detail::check_pareto(function, dist.scale(), shape, &result, Policy())) { return result; @@ -464,11 +463,11 @@ namespace boost } // kurtosis template <class RealType, class Policy> - inline RealType kurtosis_excess(const pareto_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const pareto_distribution<RealType, Policy>& dist) { RealType result = 0; RealType shape = dist.shape(); - static const char* function = "boost::math::pdf(const pareto_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const pareto_distribution<%1%>&, %1%)"; if(false == detail::check_pareto(function, dist.scale(), shape, &result, Policy())) { return result; @@ -488,9 +487,9 @@ namespace boost } // kurtosis_excess template <class RealType, class Policy> - inline RealType entropy(const pareto_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType entropy(const pareto_distribution<RealType, Policy>& dist) { - using std::log; + BOOST_MATH_STD_USING RealType xm = dist.scale(); RealType alpha = dist.shape(); return log(xm/alpha) + 1 + 1/alpha; diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/poisson.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/poisson.hpp index 570a590259..c2fad66be0 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/poisson.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/poisson.hpp @@ -2,6 +2,7 @@ // Copyright John Maddock 2006. // Copyright Paul A. Bristow 2007. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. @@ -36,6 +37,10 @@ #ifndef BOOST_MATH_SPECIAL_POISSON_HPP #define BOOST_MATH_SPECIAL_POISSON_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/gamma.hpp> // for incomplete gamma. gamma_q #include <boost/math/special_functions/trunc.hpp> // for incomplete gamma. gamma_q @@ -46,9 +51,6 @@ #include <boost/math/tools/roots.hpp> // for root finding. #include <boost/math/distributions/detail/inv_discrete_quantile.hpp> -#include <utility> -#include <limits> - namespace boost { namespace math @@ -60,7 +62,7 @@ namespace boost // checks are always performed, even if exceptions are not enabled. template <class RealType, class Policy> - inline bool check_mean(const char* function, const RealType& mean, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_mean(const char* function, const RealType& mean, RealType* result, const Policy& pol) { if(!(boost::math::isfinite)(mean) || (mean < 0)) { @@ -73,7 +75,7 @@ namespace boost } // bool check_mean template <class RealType, class Policy> - inline bool check_mean_NZ(const char* function, const RealType& mean, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_mean_NZ(const char* function, const RealType& mean, RealType* result, const Policy& pol) { // mean == 0 is considered an error. if( !(boost::math::isfinite)(mean) || (mean <= 0)) { @@ -86,13 +88,13 @@ namespace boost } // bool check_mean_NZ template <class RealType, class Policy> - inline bool check_dist(const char* function, const RealType& mean, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist(const char* function, const RealType& mean, RealType* result, const Policy& pol) { // Only one check, so this is redundant really but should be optimized away. return check_mean_NZ(function, mean, result, pol); } // bool check_dist template <class RealType, class Policy> - inline bool check_k(const char* function, const RealType& k, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_k(const char* function, const RealType& k, RealType* result, const Policy& pol) { if((k < 0) || !(boost::math::isfinite)(k)) { @@ -105,7 +107,7 @@ namespace boost } // bool check_k template <class RealType, class Policy> - inline bool check_dist_and_k(const char* function, RealType mean, RealType k, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist_and_k(const char* function, RealType mean, RealType k, RealType* result, const Policy& pol) { if((check_dist(function, mean, result, pol) == false) || (check_k(function, k, result, pol) == false)) @@ -116,7 +118,7 @@ namespace boost } // bool check_dist_and_k template <class RealType, class Policy> - inline bool check_prob(const char* function, const RealType& p, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_prob(const char* function, const RealType& p, RealType* result, const Policy& pol) { // Check 0 <= p <= 1 if(!(boost::math::isfinite)(p) || (p < 0) || (p > 1)) { @@ -129,7 +131,7 @@ namespace boost } // bool check_prob template <class RealType, class Policy> - inline bool check_dist_and_prob(const char* function, RealType mean, RealType p, RealType* result, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool check_dist_and_prob(const char* function, RealType mean, RealType p, RealType* result, const Policy& pol) { if((check_dist(function, mean, result, pol) == false) || (check_prob(function, p, result, pol) == false)) @@ -148,7 +150,7 @@ namespace boost using value_type = RealType; using policy_type = Policy; - explicit poisson_distribution(RealType l_mean = 1) : m_l(l_mean) // mean (lambda). + BOOST_MATH_GPU_ENABLED explicit poisson_distribution(RealType l_mean = 1) : m_l(l_mean) // mean (lambda). { // Expected mean number of events that occur during the given interval. RealType r; poisson_detail::check_dist( @@ -157,7 +159,7 @@ namespace boost &r, Policy()); } // poisson_distribution constructor. - RealType mean() const + BOOST_MATH_GPU_ENABLED RealType mean() const { // Private data getter function. return m_l; } @@ -176,28 +178,28 @@ namespace boost // Non-member functions to give properties of the distribution. template <class RealType, class Policy> - inline std::pair<RealType, RealType> range(const poisson_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> range(const poisson_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable k. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // Max integer? + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); // Max integer? } template <class RealType, class Policy> - inline std::pair<RealType, RealType> support(const poisson_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> support(const poisson_distribution<RealType, Policy>& /* dist */) { // Range of supported values for random variable k. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> - inline RealType mean(const poisson_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const poisson_distribution<RealType, Policy>& dist) { // Mean of poisson distribution = lambda. return dist.mean(); } // mean template <class RealType, class Policy> - inline RealType mode(const poisson_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mode(const poisson_distribution<RealType, Policy>& dist) { // mode. BOOST_MATH_STD_USING // ADL of std functions. return floor(dist.mean()); @@ -206,7 +208,7 @@ namespace boost // Median now implemented via quantile(half) in derived accessors. template <class RealType, class Policy> - inline RealType variance(const poisson_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const poisson_distribution<RealType, Policy>& dist) { // variance. return dist.mean(); } @@ -214,14 +216,14 @@ namespace boost // standard_deviation provided by derived accessors. template <class RealType, class Policy> - inline RealType skewness(const poisson_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const poisson_distribution<RealType, Policy>& dist) { // skewness = sqrt(l). BOOST_MATH_STD_USING // ADL of std functions. return 1 / sqrt(dist.mean()); } template <class RealType, class Policy> - inline RealType kurtosis_excess(const poisson_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const poisson_distribution<RealType, Policy>& dist) { // skewness = sqrt(l). return 1 / dist.mean(); // kurtosis_excess 1/mean from Wiki & MathWorld eq 31. // http://mathworld.wolfram.com/Kurtosis.html explains that the kurtosis excess @@ -230,7 +232,7 @@ namespace boost } // RealType kurtosis_excess template <class RealType, class Policy> - inline RealType kurtosis(const poisson_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const poisson_distribution<RealType, Policy>& dist) { // kurtosis is 4th moment about the mean = u4 / sd ^ 4 // http://en.wikipedia.org/wiki/Kurtosis // kurtosis can range from -2 (flat top) to +infinity (sharp peak & heavy tails). @@ -242,7 +244,7 @@ namespace boost } // RealType kurtosis template <class RealType, class Policy> - RealType pdf(const poisson_distribution<RealType, Policy>& dist, const RealType& k) + BOOST_MATH_GPU_ENABLED RealType pdf(const poisson_distribution<RealType, Policy>& dist, const RealType& k) { // Probability Density/Mass Function. // Probability that there are EXACTLY k occurrences (or arrivals). BOOST_FPU_EXCEPTION_GUARD @@ -274,7 +276,7 @@ namespace boost } // pdf template <class RealType, class Policy> - RealType logpdf(const poisson_distribution<RealType, Policy>& dist, const RealType& k) + BOOST_MATH_GPU_ENABLED RealType logpdf(const poisson_distribution<RealType, Policy>& dist, const RealType& k) { BOOST_FPU_EXCEPTION_GUARD @@ -283,7 +285,7 @@ namespace boost RealType mean = dist.mean(); // Error check: - RealType result = -std::numeric_limits<RealType>::infinity(); + RealType result = -boost::math::numeric_limits<RealType>::infinity(); if(false == poisson_detail::check_dist_and_k( "boost::math::pdf(const poisson_distribution<%1%>&, %1%)", mean, @@ -296,7 +298,7 @@ namespace boost // Special case of mean zero, regardless of the number of events k. if (mean == 0) { // Probability for any k is zero. - return std::numeric_limits<RealType>::quiet_NaN(); + return boost::math::numeric_limits<RealType>::quiet_NaN(); } // Special case where k and lambda are both positive @@ -310,7 +312,7 @@ namespace boost } template <class RealType, class Policy> - RealType cdf(const poisson_distribution<RealType, Policy>& dist, const RealType& k) + BOOST_MATH_GPU_ENABLED RealType cdf(const poisson_distribution<RealType, Policy>& dist, const RealType& k) { // Cumulative Distribution Function Poisson. // The random variate k is the number of occurrences(or arrivals) // k argument may be integral, signed, or unsigned, or floating point. @@ -361,7 +363,7 @@ namespace boost } // binomial cdf template <class RealType, class Policy> - RealType cdf(const complemented2_type<poisson_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED RealType cdf(const complemented2_type<poisson_distribution<RealType, Policy>, RealType>& c) { // Complemented Cumulative Distribution Function Poisson // The random variate k is the number of events, occurrences or arrivals. // k argument may be integral, signed, or unsigned, or floating point. @@ -411,10 +413,10 @@ namespace boost } // poisson ccdf template <class RealType, class Policy> - inline RealType quantile(const poisson_distribution<RealType, Policy>& dist, const RealType& p) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const poisson_distribution<RealType, Policy>& dist, const RealType& p) { // Quantile (or Percent Point) Poisson function. // Return the number of expected events k for a given probability p. - static const char* function = "boost::math::quantile(const poisson_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const poisson_distribution<%1%>&, %1%)"; RealType result = 0; // of Argument checks: if(false == poisson_detail::check_prob( function, @@ -443,7 +445,7 @@ namespace boost return policies::raise_overflow_error<RealType>(function, 0, Policy()); } using discrete_type = typename Policy::discrete_quantile_type; - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); RealType guess; RealType factor = 8; RealType z = dist.mean(); @@ -477,13 +479,13 @@ namespace boost } // quantile template <class RealType, class Policy> - inline RealType quantile(const complemented2_type<poisson_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<poisson_distribution<RealType, Policy>, RealType>& c) { // Quantile (or Percent Point) of Poisson function. // Return the number of expected events k for a given // complement of the probability q. // // Error checks: - static const char* function = "boost::math::quantile(complement(const poisson_distribution<%1%>&, %1%))"; + constexpr auto function = "boost::math::quantile(complement(const poisson_distribution<%1%>&, %1%))"; RealType q = c.param; const poisson_distribution<RealType, Policy>& dist = c.dist; RealType result = 0; // of argument checks. @@ -514,7 +516,7 @@ namespace boost return 0; // Exact result regardless of discrete-quantile Policy } using discrete_type = typename Policy::discrete_quantile_type; - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); RealType guess; RealType factor = 8; RealType z = dist.mean(); diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/rayleigh.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/rayleigh.hpp index 4e741313c8..155525b539 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/rayleigh.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/rayleigh.hpp @@ -7,6 +7,10 @@ #ifndef BOOST_STATS_rayleigh_HPP #define BOOST_STATS_rayleigh_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/special_functions/log1p.hpp> @@ -19,16 +23,12 @@ # pragma warning(disable: 4702) // unreachable code (return after domain_error throw). #endif -#include <utility> -#include <limits> -#include <cmath> - namespace boost{ namespace math{ namespace detail { // Error checks: template <class RealType, class Policy> - inline bool verify_sigma(const char* function, RealType sigma, RealType* presult, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool verify_sigma(const char* function, RealType sigma, RealType* presult, const Policy& pol) { if((sigma <= 0) || (!(boost::math::isfinite)(sigma))) { @@ -41,7 +41,7 @@ namespace detail } // bool verify_sigma template <class RealType, class Policy> - inline bool verify_rayleigh_x(const char* function, RealType x, RealType* presult, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline bool verify_rayleigh_x(const char* function, RealType x, RealType* presult, const Policy& pol) { if((x < 0) || (boost::math::isnan)(x)) { @@ -61,14 +61,14 @@ public: using value_type = RealType; using policy_type = Policy; - explicit rayleigh_distribution(RealType l_sigma = 1) + BOOST_MATH_GPU_ENABLED explicit rayleigh_distribution(RealType l_sigma = 1) : m_sigma(l_sigma) { RealType err; detail::verify_sigma("boost::math::rayleigh_distribution<%1%>::rayleigh_distribution", l_sigma, &err, Policy()); } // rayleigh_distribution - RealType sigma()const + BOOST_MATH_GPU_ENABLED RealType sigma()const { // Accessor. return m_sigma; } @@ -85,28 +85,28 @@ rayleigh_distribution(RealType)->rayleigh_distribution<typename boost::math::too #endif template <class RealType, class Policy> -inline std::pair<RealType, RealType> range(const rayleigh_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> range(const rayleigh_distribution<RealType, Policy>& /*dist*/) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), std::numeric_limits<RealType>::has_infinity ? std::numeric_limits<RealType>::infinity() : max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), boost::math::numeric_limits<RealType>::has_infinity ? boost::math::numeric_limits<RealType>::infinity() : max_value<RealType>()); } template <class RealType, class Policy> -inline std::pair<RealType, RealType> support(const rayleigh_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> support(const rayleigh_distribution<RealType, Policy>& /*dist*/) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> -inline RealType pdf(const rayleigh_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType pdf(const rayleigh_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std function exp. RealType sigma = dist.sigma(); RealType result = 0; - static const char* function = "boost::math::pdf(const rayleigh_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const rayleigh_distribution<%1%>&, %1%)"; if(false == detail::verify_sigma(function, sigma, &result, Policy())) { return result; @@ -125,13 +125,13 @@ inline RealType pdf(const rayleigh_distribution<RealType, Policy>& dist, const R } // pdf template <class RealType, class Policy> -inline RealType logpdf(const rayleigh_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logpdf(const rayleigh_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std function exp. const RealType sigma = dist.sigma(); - RealType result = -std::numeric_limits<RealType>::infinity(); - static const char* function = "boost::math::logpdf(const rayleigh_distribution<%1%>&, %1%)"; + RealType result = -boost::math::numeric_limits<RealType>::infinity(); + constexpr auto function = "boost::math::logpdf(const rayleigh_distribution<%1%>&, %1%)"; if(false == detail::verify_sigma(function, sigma, &result, Policy())) { @@ -151,13 +151,13 @@ inline RealType logpdf(const rayleigh_distribution<RealType, Policy>& dist, cons } // logpdf template <class RealType, class Policy> -inline RealType cdf(const rayleigh_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const rayleigh_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions RealType result = 0; RealType sigma = dist.sigma(); - static const char* function = "boost::math::cdf(const rayleigh_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const rayleigh_distribution<%1%>&, %1%)"; if(false == detail::verify_sigma(function, sigma, &result, Policy())) { return result; @@ -171,33 +171,33 @@ inline RealType cdf(const rayleigh_distribution<RealType, Policy>& dist, const R } // cdf template <class RealType, class Policy> -inline RealType logcdf(const rayleigh_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logcdf(const rayleigh_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions RealType result = 0; RealType sigma = dist.sigma(); - static const char* function = "boost::math::logcdf(const rayleigh_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logcdf(const rayleigh_distribution<%1%>&, %1%)"; if(false == detail::verify_sigma(function, sigma, &result, Policy())) { - return -std::numeric_limits<RealType>::infinity(); + return -boost::math::numeric_limits<RealType>::infinity(); } if(false == detail::verify_rayleigh_x(function, x, &result, Policy())) { - return -std::numeric_limits<RealType>::infinity(); + return -boost::math::numeric_limits<RealType>::infinity(); } result = log1p(-exp(-x * x / ( 2 * sigma * sigma)), Policy()); return result; } // logcdf template <class RealType, class Policy> -inline RealType quantile(const rayleigh_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const rayleigh_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std functions RealType result = 0; RealType sigma = dist.sigma(); - static const char* function = "boost::math::quantile(const rayleigh_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const rayleigh_distribution<%1%>&, %1%)"; if(false == detail::verify_sigma(function, sigma, &result, Policy())) return result; if(false == detail::check_probability(function, p, &result, Policy())) @@ -216,13 +216,13 @@ inline RealType quantile(const rayleigh_distribution<RealType, Policy>& dist, co } // quantile template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<rayleigh_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<rayleigh_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions RealType result = 0; RealType sigma = c.dist.sigma(); - static const char* function = "boost::math::cdf(const rayleigh_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const rayleigh_distribution<%1%>&, %1%)"; if(false == detail::verify_sigma(function, sigma, &result, Policy())) { return result; @@ -241,21 +241,21 @@ inline RealType cdf(const complemented2_type<rayleigh_distribution<RealType, Pol } // cdf complement template <class RealType, class Policy> -inline RealType logcdf(const complemented2_type<rayleigh_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType logcdf(const complemented2_type<rayleigh_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions RealType result = 0; RealType sigma = c.dist.sigma(); - static const char* function = "boost::math::logcdf(const rayleigh_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::logcdf(const rayleigh_distribution<%1%>&, %1%)"; if(false == detail::verify_sigma(function, sigma, &result, Policy())) { - return -std::numeric_limits<RealType>::infinity(); + return -boost::math::numeric_limits<RealType>::infinity(); } RealType x = c.param; if(false == detail::verify_rayleigh_x(function, x, &result, Policy())) { - return -std::numeric_limits<RealType>::infinity(); + return -boost::math::numeric_limits<RealType>::infinity(); } RealType ea = x * x / (2 * sigma * sigma); // Fix for VC11/12 x64 bug in exp(float): @@ -266,13 +266,13 @@ inline RealType logcdf(const complemented2_type<rayleigh_distribution<RealType, } // logcdf complement template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<rayleigh_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<rayleigh_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions, log & sqrt. RealType result = 0; RealType sigma = c.dist.sigma(); - static const char* function = "boost::math::quantile(const rayleigh_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const rayleigh_distribution<%1%>&, %1%)"; if(false == detail::verify_sigma(function, sigma, &result, Policy())) { return result; @@ -295,11 +295,11 @@ inline RealType quantile(const complemented2_type<rayleigh_distribution<RealType } // quantile complement template <class RealType, class Policy> -inline RealType mean(const rayleigh_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const rayleigh_distribution<RealType, Policy>& dist) { RealType result = 0; RealType sigma = dist.sigma(); - static const char* function = "boost::math::mean(const rayleigh_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::mean(const rayleigh_distribution<%1%>&, %1%)"; if(false == detail::verify_sigma(function, sigma, &result, Policy())) { return result; @@ -309,11 +309,11 @@ inline RealType mean(const rayleigh_distribution<RealType, Policy>& dist) } // mean template <class RealType, class Policy> -inline RealType variance(const rayleigh_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType variance(const rayleigh_distribution<RealType, Policy>& dist) { RealType result = 0; RealType sigma = dist.sigma(); - static const char* function = "boost::math::variance(const rayleigh_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::variance(const rayleigh_distribution<%1%>&, %1%)"; if(false == detail::verify_sigma(function, sigma, &result, Policy())) { return result; @@ -323,20 +323,20 @@ inline RealType variance(const rayleigh_distribution<RealType, Policy>& dist) } // variance template <class RealType, class Policy> -inline RealType mode(const rayleigh_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const rayleigh_distribution<RealType, Policy>& dist) { return dist.sigma(); } template <class RealType, class Policy> -inline RealType median(const rayleigh_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType median(const rayleigh_distribution<RealType, Policy>& dist) { using boost::math::constants::root_ln_four; return root_ln_four<RealType>() * dist.sigma(); } template <class RealType, class Policy> -inline RealType skewness(const rayleigh_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const rayleigh_distribution<RealType, Policy>& /*dist*/) { return static_cast<RealType>(0.63111065781893713819189935154422777984404221106391L); // Computed using NTL at 150 bit, about 50 decimal digits. @@ -344,7 +344,7 @@ inline RealType skewness(const rayleigh_distribution<RealType, Policy>& /*dist*/ } template <class RealType, class Policy> -inline RealType kurtosis(const rayleigh_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const rayleigh_distribution<RealType, Policy>& /*dist*/) { return static_cast<RealType>(3.2450893006876380628486604106197544154170667057995L); // Computed using NTL at 150 bit, about 50 decimal digits. @@ -352,7 +352,7 @@ inline RealType kurtosis(const rayleigh_distribution<RealType, Policy>& /*dist*/ } template <class RealType, class Policy> -inline RealType kurtosis_excess(const rayleigh_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const rayleigh_distribution<RealType, Policy>& /*dist*/) { return static_cast<RealType>(0.2450893006876380628486604106197544154170667057995L); // Computed using NTL at 150 bit, about 50 decimal digits. @@ -360,9 +360,9 @@ inline RealType kurtosis_excess(const rayleigh_distribution<RealType, Policy>& / } // kurtosis_excess template <class RealType, class Policy> -inline RealType entropy(const rayleigh_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType entropy(const rayleigh_distribution<RealType, Policy>& dist) { - using std::log; + BOOST_MATH_STD_USING return 1 + log(dist.sigma()*constants::one_div_root_two<RealType>()) + constants::euler<RealType>()/2; } diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/saspoint5.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/saspoint5.hpp new file mode 100644 index 0000000000..7846b99560 --- /dev/null +++ b/contrib/restricted/boost/math/include/boost/math/distributions/saspoint5.hpp @@ -0,0 +1,2796 @@ +// Copyright Takuma Yoshimura 2024. +// Copyright Matt Borland 2024. +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file +// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) + +#ifndef BOOST_STATS_SASPOINT5_HPP +#define BOOST_STATS_SASPOINT5_HPP + +#ifdef _MSC_VER +#pragma warning(push) +#pragma warning(disable : 4127) // conditional expression is constant +#endif + +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/constants/constants.hpp> +#include <boost/math/tools/big_constant.hpp> +#include <boost/math/distributions/complement.hpp> +#include <boost/math/distributions/detail/common_error_handling.hpp> +#include <boost/math/distributions/detail/derived_accessors.hpp> +#include <boost/math/tools/rational.hpp> +#include <boost/math/tools/promotion.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/distributions/fwd.hpp> +#include <cmath> +#endif + +namespace boost { namespace math { +template <class RealType, class Policy> +class saspoint5_distribution; + +namespace detail { + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_pdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 0.125) { + // Rational Approximation + // Maximum Relative Error: 7.8747e-17 + BOOST_MATH_STATIC const RealType P[13] = { + static_cast<RealType>(6.36619772367581343076e-1), + static_cast<RealType>(2.17275699713513462507e2), + static_cast<RealType>(3.49063163361344578910e4), + static_cast<RealType>(3.40332906932698464252e6), + static_cast<RealType>(2.19485577044357440949e8), + static_cast<RealType>(9.66086435948730562464e9), + static_cast<RealType>(2.90571833690383003932e11), + static_cast<RealType>(5.83089315593106044683e12), + static_cast<RealType>(7.37911022713775715766e13), + static_cast<RealType>(5.26757196603002476852e14), + static_cast<RealType>(1.75780353683063527570e15), + static_cast<RealType>(1.85883041942144306222e15), + static_cast<RealType>(4.19828222275972713819e14), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.41295871011779138155e2), + static_cast<RealType>(5.48907134827349102297e4), + static_cast<RealType>(5.36641455324410261980e6), + static_cast<RealType>(3.48045461004960397915e8), + static_cast<RealType>(1.54920747349701741537e10), + static_cast<RealType>(4.76490595358644532404e11), + static_cast<RealType>(1.00104823128402735005e13), + static_cast<RealType>(1.39703522470411802507e14), + static_cast<RealType>(1.23724881334160220266e15), + static_cast<RealType>(6.47437580921138359461e15), + static_cast<RealType>(1.77627318260037604066e16), + static_cast<RealType>(2.04792815832538146160e16), + static_cast<RealType>(7.45102534638640681964e15), + static_cast<RealType>(3.68496090049571174527e14), + }; + + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 0.25) { + RealType t = x - static_cast <RealType>(0.125); + + // Rational Approximation + // Maximum Relative Error: 2.1471e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(4.35668401768623200524e-1), + static_cast<RealType>(7.12477357389655327116e0), + static_cast<RealType>(4.02466317948738993787e1), + static_cast<RealType>(9.04888497628205955839e1), + static_cast<RealType>(7.56175387288619211460e1), + static_cast<RealType>(1.26950253999694502457e1), + static_cast<RealType>(-6.59304802132933325219e-1), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.98623818041545101115e1), + static_cast<RealType>(1.52856383017632616759e2), + static_cast<RealType>(5.70706902111659740041e2), + static_cast<RealType>(1.06454927680197927878e3), + static_cast<RealType>(9.13160352749764887791e2), + static_cast<RealType>(2.58872466837209126618e2), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 0.5) { + RealType t = x - static_cast <RealType>(0.25); + + // Rational Approximation + // Maximum Relative Error: 5.3265e-17 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(2.95645445681747568732e-1), + static_cast<RealType>(2.23779537590791610124e0), + static_cast<RealType>(5.01302198171248036052e0), + static_cast<RealType>(2.76363131116340641935e0), + static_cast<RealType>(1.18134858311074670327e-1), + static_cast<RealType>(2.00287083462139382715e-2), + static_cast<RealType>(-7.53979800555375661516e-3), + static_cast<RealType>(1.37294648777729527395e-3), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.02879626214781666701e1), + static_cast<RealType>(3.85125274509784615691e1), + static_cast<RealType>(6.18474367367800231625e1), + static_cast<RealType>(3.77100050087302476029e1), + static_cast<RealType>(5.41866360740066443656e0), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 1) { + RealType t = x - static_cast <RealType>(0.5); + + // Rational Approximation + // Maximum Relative Error: 2.7947e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(1.70762401725206223811e-1), + static_cast<RealType>(8.43343631021918972436e-1), + static_cast<RealType>(1.39703819152564365627e0), + static_cast<RealType>(8.75843324574692085009e-1), + static_cast<RealType>(1.86199552443747562584e-1), + static_cast<RealType>(7.35858280181579907616e-3), + static_cast<RealType>(-1.03693607694266081126e-4), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(6.73363440952557318819e0), + static_cast<RealType>(1.74288966619209299976e1), + static_cast<RealType>(2.15943268035083671893e1), + static_cast<RealType>(1.29818726981381859879e1), + static_cast<RealType>(3.40707211426946022041e0), + static_cast<RealType>(2.80229012541729457678e-1), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 1.7051e-18 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(8.61071469126041183247e-2), + static_cast<RealType>(1.69689585946245345838e-1), + static_cast<RealType>(1.09494833291892212033e-1), + static_cast<RealType>(2.76619622453130604637e-2), + static_cast<RealType>(2.44972748006913061509e-3), + static_cast<RealType>(4.09853605772288438003e-5), + static_cast<RealType>(-2.63561415158954865283e-7), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.04082856018856244947e0), + static_cast<RealType>(3.52558663323956252986e0), + static_cast<RealType>(1.94795523079701426332e0), + static_cast<RealType>(5.23956733400745421623e-1), + static_cast<RealType>(6.19453597593998871667e-2), + static_cast<RealType>(2.31061984192347753499e-3), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 2.9247e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(3.91428580496513429479e-2), + static_cast<RealType>(4.07162484034780126757e-2), + static_cast<RealType>(1.43342733342753081931e-2), + static_cast<RealType>(2.01622178115394696215e-3), + static_cast<RealType>(1.00648013467757737201e-4), + static_cast<RealType>(9.51545046750892356441e-7), + static_cast<RealType>(-3.56598940936439037087e-9), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.63904431617187026619e0), + static_cast<RealType>(1.03812003196677309121e0), + static_cast<RealType>(3.18144310790210668797e-1), + static_cast<RealType>(4.81930155615666517263e-2), + static_cast<RealType>(3.25435391589941361778e-3), + static_cast<RealType>(7.01626957128181647457e-5), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 2.6547e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(1.65057384221262866484e-2), + static_cast<RealType>(8.05429762031495873704e-3), + static_cast<RealType>(1.35249234647852784985e-3), + static_cast<RealType>(9.18685252682786794440e-5), + static_cast<RealType>(2.23447790937806602674e-6), + static_cast<RealType>(1.03176916111395079569e-8), + static_cast<RealType>(-1.94913182592441292094e-11), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(8.10113554189626079232e-1), + static_cast<RealType>(2.54175325409968367580e-1), + static_cast<RealType>(3.87119072807894983910e-2), + static_cast<RealType>(2.92520770162792443587e-3), + static_cast<RealType>(9.89094130526684467420e-5), + static_cast<RealType>(1.07148513311070719488e-6), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 2.5484e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(6.60044810497290557553e-3), + static_cast<RealType>(1.59342644994950292031e-3), + static_cast<RealType>(1.32429706922966110874e-4), + static_cast<RealType>(4.45378136978435909660e-6), + static_cast<RealType>(5.36409958111394628239e-8), + static_cast<RealType>(1.22293787679910067873e-10), + static_cast<RealType>(-1.16300443044165216564e-13), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(4.10446485803039594111e-1), + static_cast<RealType>(6.51887342399859289520e-2), + static_cast<RealType>(5.02151225308643905366e-3), + static_cast<RealType>(1.91741179639551137839e-4), + static_cast<RealType>(3.27316600311598190022e-6), + static_cast<RealType>(1.78840301213102212857e-8), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 2.9866e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(2.54339461777955741686e-3), + static_cast<RealType>(3.10069525357852579756e-4), + static_cast<RealType>(1.30082682796085732756e-5), + static_cast<RealType>(2.20715868479255585050e-7), + static_cast<RealType>(1.33996659756026452288e-9), + static_cast<RealType>(1.53505360463827994365e-12), + static_cast<RealType>(-7.42649416356965421308e-16), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(2.09203384450859785642e-1), + static_cast<RealType>(1.69422626897631306130e-2), + static_cast<RealType>(6.65649059670689720386e-4), + static_cast<RealType>(1.29654785666009849481e-5), + static_cast<RealType>(1.12886139474560969619e-7), + static_cast<RealType>(3.14420104899170413840e-10), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 3.3581e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(9.55085695067883584460e-4), + static_cast<RealType>(5.86125496733202756668e-5), + static_cast<RealType>(1.23753971325810931282e-6), + static_cast<RealType>(1.05643819745933041408e-8), + static_cast<RealType>(3.22502949410095015524e-11), + static_cast<RealType>(1.85366144680157942079e-14), + static_cast<RealType>(-4.53975807317403152058e-18), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.05980850386474826374e-1), + static_cast<RealType>(4.34966042652000070674e-3), + static_cast<RealType>(8.66341538387446465700e-5), + static_cast<RealType>(8.55608082202236124363e-7), + static_cast<RealType>(3.77719968378509293354e-9), + static_cast<RealType>(5.33287361559571716670e-12), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType t = 1 / sqrt(x); + + // Rational Approximation + // Maximum Relative Error: 4.7450e-19 + BOOST_MATH_STATIC const RealType P[5] = { + static_cast<RealType>(1.99471140200716338970e-1), + static_cast<RealType>(-1.93310094131437487158e-2), + static_cast<RealType>(-8.44282614309073196195e-3), + static_cast<RealType>(3.47296024282356038069e-3), + static_cast<RealType>(-4.05398011689821941383e-4), + }; + BOOST_MATH_STATIC const RealType Q[5] = { + static_cast<RealType>(1.), + static_cast<RealType>(7.00973251258577238892e-1), + static_cast<RealType>(2.66969681258835723157e-1), + static_cast<RealType>(5.51785147503612200456e-2), + static_cast<RealType>(6.50130030979966274341e-3), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t) * t / x; + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_pdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 0.0625) { + // Rational Approximation + // Maximum Relative Error: 8.8841e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[27] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.36619772367581343075535053490057448138e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.57459506929453385798277946154823008327e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.46717322844023441698710451505816706570e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71501459971530549476153273173061194095e8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.76700973495278431084530045707075552432e10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01328150775099946510145440412520620021e13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70028222513668830210058353057559790101e15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29641781943744384078006991488193839955e17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.52611994112742436432957758588495082163e19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.27833177267552931459542318826727288124e21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.68946162731840551853993619351896931533e23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.02965010233956763504899745874128908220e25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.14128569264874914146628076133997950655e26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.09103580386900060922163883603492216942e28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.86778299087452621293332172137014749128e29), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.80029712249744334924217328667885673985e31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.70890080432228368476255091774238573277e32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.88600513999992354909078399482884993261e33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.01189178534848836605739139176681647755e34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.06531475170803043941021113424602440078e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.64956999370443524098457423629252855270e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44276098283517934229787916584447559248e37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.45856704224433991524661028965741649584e37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.47263237190968408624388275549716907309e37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.66186300951901408251743228798832386260e37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.48064966533519934186356663849904556319e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.64877082086372991309408001661535573441e35), + }; + BOOST_MATH_STATIC const RealType Q[28] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18981461118065892086304195732751798634e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.01761929839041982958990681130944341399e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.69465252239913021973760046507387620537e8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.49221044103838155300076098325950584061e10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59327386289821190042576978177896481082e13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.67528179803224728786405503232064643870e15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.61672367849271591791062829736720884633e17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.98395893917909208201801908435620016552e19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.60025693881358827551113845076726845495e21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.67730578745705562356709169493821118109e23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63843883526710042156562706339553092312e25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.23075214698024188140971761421762265880e26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.37775321923937393366376907114580842429e28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.12444724625354796650300159037364355605e30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.00860835602766063447009568106012449767e31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.39614080159468893509273006948526469708e32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06547095715472468415058181351212520255e34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36755997709303811764051969789337337957e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32519530489892818585066019217287415587e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.45230390606834183602522256278256501404e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.80344475131699029428900627020022801971e37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.66469314795307459840482483320814279444e38), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.70209065673736156218117594311801487932e38), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.84490531246108754748100009460860427732e38), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.30215083398643966091721732133851539475e38), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.58032845332990262754766784625271262271e37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.50461648438613634025964361513066059697e36), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 0.125) { + RealType t = x - static_cast <RealType>(0.0625); + + // Rational Approximation + // Maximum Relative Error: 3.4585e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.46416716200748206779925127900698754119e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.41771273526123373239570033672829787791e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.56142610225585235535211648703534340871e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.15655694129872563686497490176725921724e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.00791883661952751945853742455643714995e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.30252591667828615354689186280704562254e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76168115448224677276551213052798322583e7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.88534624532179841393387625270218172719e7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14740447137831585842166880265350244623e8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14904082614021239315925958812100948136e8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.76866867279164114004579652405104553404e7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.53475339598769347326916978463911377965e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.88896160275915786487519266368539625326e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05543800791717482823610940401201712196e4), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.44407579416524903840331499438398472639e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.15911780811299460009161345260146251462e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.88457596285725454686358792906273558406e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.66501639812506059997744549411633476528e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.12674134216028769532305433586266118000e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.87676063477990584593444083577765264392e7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.56084282739608760299329382263598821653e8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.34250986378665047914811630036201995871e8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31288233106689286803200674021353188597e9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33621494302241474082474689597125896975e9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.63379428046258653791600947328520263412e8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14558538557562267533922961110917101850e8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 0.25) { + RealType t = x - static_cast <RealType>(0.125); + + // Rational Approximation + // Maximum Relative Error: 6.9278e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.35668401768623200524372663239480799018e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30066509937988171489091367354416214000e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.05924026744937322690717755156090122074e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.12998524955326375684693500551926325112e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.52237930808361186011042950178715609183e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.10734809597587633852077152938985998879e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.20796157836149826988172603622242119074e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.12398478061053302537736799402801934778e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17841330491647012385157454335820786724e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.46281413765362795389526259057436151953e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52220357379402116641048490644093497829e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.51130316105543847380510577656570543736e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.32201781975497810173532067354797097401e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.96874547436310030183519174847668703774e0), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.63164311578114868477819520857286165076e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34964379844144961683927306966955217328e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.82966031793809959278519002412667883288e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.56215285850856046267451500310816276675e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.81046679663412610005501878092824281161e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.33868038251479411246071640628518434659e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.46262495881941625571640264458627940579e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.40052628730443097561652737049917920495e7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44394803828297754346261138417756941544e7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.56647617803506258343236509255155360957e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.53513095899009948733175317927025056561e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.69130675750530663088963759279778748696e5), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 0.5) { + RealType t = x - static_cast <RealType>(0.25); + + // Rational Approximation + // Maximum Relative Error: 6.9378e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.95645445681747568731488283573032414811e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.83246437763964151893665752064650172391e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.85333417559435252576820440080930004674e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.90974714199542064991001365628659054084e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39707205668285805800884524044738261436e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.24814598419826565698241508792385416075e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.95012897118808793886195172068123345314e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.87265743900139300849404272909665705025e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.98795164648056126707212245325405968413e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07012128790318535418330629467906917213e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.99797198893523173981812955075412130913e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.55029227544167913873724286459253168886e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.54064889901609722583601330171719819660e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.72254289950537680833853394958874977464e-3), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.58291085070053442257438623486099473087e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.95618461039379226195473938654286975682e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.97427161745150579714266897556974326502e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.52730436681412535198281529590508861106e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.49521185356761585062135933350225236726e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.03881178612341724262911142022761966061e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.02360046338629039644581819847209730553e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.65580339066083507998465454599272345735e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.15462499626138125314518636645472893045e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.61951767959774678843021179589300545717e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.60745557054877240279811529503888551492e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.91061555870569579915258835459255406575e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43045229010040855016672246098687100063e1), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 1) { + RealType t = x - static_cast <RealType>(0.5); + + // Rational Approximation + // Maximum Relative Error: 6.4363e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70762401725206223811383500786268939645e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19353011456197635663058525904929358535e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.22974648900600015961253465796487372402e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.91951696059042324975935209295355569292e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.79039444119906169910281912009369164227e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00089963120992100860902142265631127046e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.37108883429306700857182028809960789020e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.49586566873564432788366931251358248417e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.49790521605774884174840168128255220471e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.90660338063979435668763608259382712726e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.93409982383888149064797608605579930804e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.22802459215932860445033185874876812040e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.07739227340181463034286653569468171767e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.02669738424010290973023004028523684766e-7), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46404480283267324138113869370306506431e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.54550184643308468933661600211579108422e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.63602410602063476726031476852965502123e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.94463479638213888403144706176973026333e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48607087483870766806529883069123352339e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.69715692924508994524755312953665710218e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33237849965272853370191827043868842100e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.08460086451666825383009487734769646087e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.47365552394788536087148438788608689300e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.38010282703940184371247559455167674975e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.67219842525655806370702248122668214685e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.01852843874982199859775136086676841910e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.14767043526088185802569803397824432028e-3), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 9.1244e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.61071469126041183247373313827161939454e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.35837460186564880289965856498718321896e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.47783071967681246738651796742079530382e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16019502727107539284403003943433359877e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.80510046274709592896987229782879937271e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.30456542768955299533391113704078540955e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36539167913428133313942008990965988621e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.76450743657913389896743235938695682829e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.42847090205575096649865021874905747106e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.41380341540026027117735179862124402398e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.40549721587212773424211923602910622515e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.09089653391032945883918434200567278139e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21403900721572475664926557233205232491e-10), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.13172035933794917563324458011617112124e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.65687100738157412154132860910003018338e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.59672433683883998168388916533196510994e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.61469557815097583209668778301921207455e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.77070955301136405523492329700943077340e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.20825570431301943907348077675777546304e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.60136197167727810483751794121979805142e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.53723076053642006159503073104152703814e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.63397465217490984394478518334313362490e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.40577918603319523990542237990107206371e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.94376458316662573143947719026985667328e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.09333568224541559157192543410988474886e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.59947287428695057506683902409023760438e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 8.1110e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.91428580496513429479068747515164587814e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.69015019070193436467106672180804948494e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.03147451266231819912643754579290008651e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.18825170881552297150779588545792258740e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30548850262278582401286533053286406505e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.54315108501815531776138839512564427279e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.66434584176931077662201101557716482514e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.66158632576958238392567355014249971287e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.31365802206301246598393821671437863818e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85378389166807263837732376845556856416e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.20375363151456683883984823721339648679e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.06637401794693307359898089790558771957e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.08663671047376684678494625068451888284e-14), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.07443397096591141329212291707948432414e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.16665031056584124503224711639009530348e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.27666060511630720485121299731204403783e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.65646979169107732387032821262953301311e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.63594064986880863092994744424349361396e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31360114173642293100378020953197965181e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.09489929949457075237756409511944811481e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.24574519309785870806550506199124944514e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.56048486483867679310086683710523566607e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.60417286783794818094722636906776809193e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.53154117367296710469692755461431646999e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60041713691072903334637560080298818163e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.77381528950794767694352468734042252745e-12), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 2.5228e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.65057384221262866484014802392420311075e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.92801687242885330588201777283015178448e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.65508815862861196424333614846876229064e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.71545573465295958468808641544341412235e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.72077718130407940498710469661947719216e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.26299620525538984108147098966692839348e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.77971404992990847565880351976461271350e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71176235845517643695464740679643640241e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.64603919225244695533557520384631958897e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.85274347406803894317891882905083368489e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.48564096627181435612831469651920186491e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.90886715044580341917806394089282500340e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -6.39396206221935864416563232680283312796e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.37760675743046300528308203869876086823e-22), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.49023284463742780238035958819642738891e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.76284367953836866133894756472541395734e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.69932155343422362573146811195224195135e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.97593541520549770519034085640975455763e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.45862809001322359249894968573830094537e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.61348135835522976885804369721316193713e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21069949470458047530981551232427019037e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.03132437580490629136144285669590192597e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.91030348024641585284338958059030520141e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.56320479309161046934628280237629402373e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.39524198476052364627683067034422502163e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18666081063885228839052386515073873844e-13), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 9.6732e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.60044810497290557552736366450372523266e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.27034183360438185616541260923634443241e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19813403884333707962156711479716066536e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.91346554854771687970018076643044998737e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.91975837766081548424458764226669789039e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.26031304514411902758114277797443618334e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.47127194811140370123712253347211626753e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.55248861254135821097921903190564312000e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.78340847719683652633864722047250151066e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.95888612422041337572422846394029849086e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.66363005792960308636467394552324255493e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.93244800648299424751906591077496534948e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.95046217952146113063614290717113024410e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.46784746963816915795587433372284530785e-25), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.16012189991825507132967712656930682478e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.95202772611563835130347051925062280272e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.23801477561401113332870463345197159418e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.54022665579711946784722766000062263305e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.94266182294627770206082679848878391116e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.11782839184878848480753630961211685630e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.28827067686094594197542725283923947812e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.00220719177374237332018587370837457299e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.42250513143925626748132661121749401409e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.82007216963767723991309138907689681422e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34214834652884406013489167210936679359e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.85519293212465087373898447546710143008e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.96728437809303144188312623363453475831e-19), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 1.0113e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.54339461777955741686401041938275102207e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.17747085249877439037826121862689145081e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14104576580586095462211756659036062930e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.06903778663262313120049231822412184382e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.53115958954246158081703822428768781010e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48225007017630665357941682179157662142e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.20810829523286181556951002345409843125e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.54070972719909957155251432996372246019e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.06258623970363729581390609798632080752e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.15603641527498625694677136504611545743e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.05376970060354261667000502105893106009e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.14727542705613448694396750352455931731e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76883960167449461476228984331517762578e-25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.03558202009465610972808653993060437679e-29), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.08809672969012756295937194823378109391e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.41148083436617376855422685448827300528e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.85101541143091590863368934606849033688e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.38984899982960112626157576750593711628e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.51437845497783812562009857096371643785e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.12891276596072815764119699444334380521e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.82412500887161687329929693518498698716e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.80215715026891688444965605768621763721e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.85838684678780184082810752634454259831e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83675729736846176693608812315852523556e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.80347165008408134158968403924819637224e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.23639219622240634094606955067799349447e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.63446235885036169537726818244420509024e-23), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 9.7056e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.55085695067883584460317653567009454037e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52919532248638251721278667010429548877e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06266842295477991789450356745903177571e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.20671609948319334255323512011575892813e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04692714549374449244320605137676408001e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70605481454469287545965803970738264158e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83960996572005209177458712170004097587e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29732261733491885750067029092181853751e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.78385693918239619309147428897790440735e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52969197316398995616879018998891661712e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.14063120299947677255281707434419044806e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.25957675329657493245893497219459256248e-25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.55238112862817593053765898004447484717e-29), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -8.93970406521541790658675747195982964585e-34), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.04722757068068234153968603374387493579e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85854131835804458353300285777969427206e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.85809281481040288085436275150792074968e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.38860750164285700051427698379841626305e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.91463283601681120487987016215594255423e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.28104952818420195583669572450494959042e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43912720109615655035554724090181888734e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10668954229813492117417896681856998595e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.65093571330749369067212003571435698558e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.81758227619561958470583781325371429458e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.36970757752002915423191164330598255294e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.06487673393164724939989217811068656932e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.47121057452822097779067717258050172115e-27), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType t = 1 / sqrt(x); + + // Rational Approximation + // Maximum Relative Error: 7.1032e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[8] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.99471140200716338969973029967190934238e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.82846732476244747063962056024672844211e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -3.69724475658159099827638225237895868258e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21259630917863228526439367416146293173e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.13469812721679130825429547254346177005e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.73237434182338329541631611908947123606e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.72986150007117100707304201395140411630e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -2.53567129749337040254350979652515879881e-7), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.89815449697874475254942178935516387239e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.21223228867921988134838870379132038419e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.79514417558927397512722128659468888701e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.43331254539687594239741585764730095049e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.99078779616201786316256750758748178864e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04590833634768023225748107112347131311e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.17497990182339853998751740288392648984e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.53420609011698705803549938558385779137e-6), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t) * t / x; + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_pdf_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53> &tag) { + BOOST_MATH_STD_USING // for ADL of std functions + + return saspoint5_pdf_plus_imp_prec<RealType>(abs(x), tag); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_pdf_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>& tag) { + BOOST_MATH_STD_USING // for ADL of std functions + + return saspoint5_pdf_plus_imp_prec<RealType>(abs(x), tag); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_pdf_imp(const saspoint5_distribution<RealType, Policy>& dist, const RealType& x) { + // + // This calculates the pdf of the Saspoint5 distribution and/or its complement. + // + + BOOST_MATH_STD_USING // for ADL of std functions + constexpr auto function = "boost::math::pdf(saspoint5<%1%>&, %1%)"; + RealType result = 0; + RealType location = dist.location(); + RealType scale = dist.scale(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + if (false == detail::check_x(function, x, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The SaS point5 distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + RealType u = (x - location) / scale; + + result = saspoint5_pdf_imp_prec(u, tag_type()) / scale; + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_cdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 0.5) { + // Rational Approximation + // Maximum Relative Error: 2.6225e-17 + BOOST_MATH_STATIC const RealType P[16] = { + static_cast<RealType>(5.0e-1), + static_cast<RealType>(1.11530082549581486148e2), + static_cast<RealType>(1.18564167533523512811e4), + static_cast<RealType>(7.51503793077701705413e5), + static_cast<RealType>(3.05648233678438482191e7), + static_cast<RealType>(8.12176734530090957088e8), + static_cast<RealType>(1.39533182836234507573e10), + static_cast<RealType>(1.50394359286077974212e11), + static_cast<RealType>(9.79057903542935575811e11), + static_cast<RealType>(3.73800992855150140014e12), + static_cast<RealType>(8.12697090329432868343e12), + static_cast<RealType>(9.63154058643818290870e12), + static_cast<RealType>(5.77714904017642642181e12), + static_cast<RealType>(1.53321958252091815685e12), + static_cast<RealType>(1.36220966258718212359e11), + static_cast<RealType>(1.70766655065405022702e9), + }; + BOOST_MATH_STATIC const RealType Q[16] = { + static_cast<RealType>(1.), + static_cast<RealType>(2.24333404643898143947e2), + static_cast<RealType>(2.39984636687021023600e4), + static_cast<RealType>(1.53353791432086858132e6), + static_cast<RealType>(6.30764952479861776476e7), + static_cast<RealType>(1.70405769169309597488e9), + static_cast<RealType>(3.00381227010195289341e10), + static_cast<RealType>(3.37519046677507392667e11), + static_cast<RealType>(2.35001610518109063314e12), + static_cast<RealType>(9.90961948200767679416e12), + static_cast<RealType>(2.47066673978544828258e13), + static_cast<RealType>(3.51442593932882610556e13), + static_cast<RealType>(2.68891431106117733130e13), + static_cast<RealType>(9.99723484253582494535e12), + static_cast<RealType>(1.49190229409236772612e12), + static_cast<RealType>(5.68752980146893975323e10), + }; + + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 1) { + RealType t = x - static_cast <RealType>(0.5); + + // Rational Approximation + // Maximum Relative Error: 9.2135e-19 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(3.31309550000758082456e-1), + static_cast<RealType>(1.63012162307622129396e0), + static_cast<RealType>(2.97763161467248770571e0), + static_cast<RealType>(2.49277948739575294031e0), + static_cast<RealType>(9.49619262302649586821e-1), + static_cast<RealType>(1.38360148984087584165e-1), + static_cast<RealType>(4.00812864075652334798e-3), + static_cast<RealType>(-4.82051978765960490940e-5), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(5.43565383128046471592e0), + static_cast<RealType>(1.13265160672130133152e1), + static_cast<RealType>(1.13352316246726435292e1), + static_cast<RealType>(5.56671465170409694873e0), + static_cast<RealType>(1.21011708389501479550e0), + static_cast<RealType>(8.34618282872428849500e-2), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 6.4688e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(2.71280312689343248819e-1), + static_cast<RealType>(7.44610837974139249205e-1), + static_cast<RealType>(7.17844128359406982825e-1), + static_cast<RealType>(2.98789060945288850507e-1), + static_cast<RealType>(5.22747411439102272576e-2), + static_cast<RealType>(3.06447984437786430265e-3), + static_cast<RealType>(2.60407071021044908690e-5), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.06221257507188300824e0), + static_cast<RealType>(3.44827372231472308047e0), + static_cast<RealType>(1.78166113338930668519e0), + static_cast<RealType>(4.25580478492907232687e-1), + static_cast<RealType>(4.09983847731128510426e-2), + static_cast<RealType>(1.04343172183467651240e-3), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 8.2289e-18 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(2.13928162275383716645e-1), + static_cast<RealType>(2.35139109235828185307e-1), + static_cast<RealType>(9.35967515134932733243e-2), + static_cast<RealType>(1.64310489592753858417e-2), + static_cast<RealType>(1.23186728989215889119e-3), + static_cast<RealType>(3.13500969261032539402e-5), + static_cast<RealType>(1.17021346758965979212e-7), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.28212183177829510267e0), + static_cast<RealType>(6.17321009406850420793e-1), + static_cast<RealType>(1.38400318019319970893e-1), + static_cast<RealType>(1.44994794535896837497e-2), + static_cast<RealType>(6.17774446282546623636e-4), + static_cast<RealType>(7.00521050169239269819e-6), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 3.7284e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(1.63772802979087193656e-1), + static_cast<RealType>(9.69009603942214234119e-2), + static_cast<RealType>(2.08261725719828138744e-2), + static_cast<RealType>(1.97965182693146960970e-3), + static_cast<RealType>(8.05499273532204276894e-5), + static_cast<RealType>(1.11401971145777879684e-6), + static_cast<RealType>(2.25932082770588727842e-9), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(6.92463563872865541733e-1), + static_cast<RealType>(1.80720987166755982366e-1), + static_cast<RealType>(2.20416647324531054557e-2), + static_cast<RealType>(1.26052070140663063778e-3), + static_cast<RealType>(2.93967534265875431639e-5), + static_cast<RealType>(1.82706995042259549615e-7), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 4.9609e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(1.22610122564874280532e-1), + static_cast<RealType>(3.70273222121572231593e-2), + static_cast<RealType>(4.06083618461789591121e-3), + static_cast<RealType>(1.96898134215932126299e-4), + static_cast<RealType>(4.08421066512186972853e-6), + static_cast<RealType>(2.87707419853226244584e-8), + static_cast<RealType>(2.96850126180387702894e-11), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.55825191301363023576e-1), + static_cast<RealType>(4.77251766176046719729e-2), + static_cast<RealType>(2.99136605131226103925e-3), + static_cast<RealType>(8.78895785432321899939e-5), + static_cast<RealType>(1.05235770624006494709e-6), + static_cast<RealType>(3.35423877769913468556e-9), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 5.6559e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(9.03056141356415077080e-2), + static_cast<RealType>(1.37568904417652631821e-2), + static_cast<RealType>(7.60947271383247418831e-4), + static_cast<RealType>(1.86048302967560067128e-5), + static_cast<RealType>(1.94537860496575427218e-7), + static_cast<RealType>(6.90524093915996283104e-10), + static_cast<RealType>(3.58808434477817122371e-13), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.80501347735272292079e-1), + static_cast<RealType>(1.22807958286146936376e-2), + static_cast<RealType>(3.90421541115275676253e-4), + static_cast<RealType>(5.81669449234915057779e-6), + static_cast<RealType>(3.53005415676201803667e-8), + static_cast<RealType>(5.69883025435873921433e-11), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 6.0653e-17 + BOOST_MATH_STATIC const RealType P[7] = { + static_cast<RealType>(6.57333571766941474226e-2), + static_cast<RealType>(5.02795551798163084224e-3), + static_cast<RealType>(1.39633616037997111325e-4), + static_cast<RealType>(1.71386564634533872559e-6), + static_cast<RealType>(8.99508156357247137439e-9), + static_cast<RealType>(1.60229460572297160486e-11), + static_cast<RealType>(4.17711709622960498456e-15), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(9.10198637347368265508e-2), + static_cast<RealType>(3.12263472357578263712e-3), + static_cast<RealType>(5.00524795130325614005e-5), + static_cast<RealType>(3.75913188747149725195e-7), + static_cast<RealType>(1.14970132098893394023e-9), + static_cast<RealType>(9.34957119271300093120e-13), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType t = 1 / sqrt(x); + + // Rational Approximation + // Maximum Relative Error: 2.0104e-20 + BOOST_MATH_STATIC const RealType P[5] = { + static_cast<RealType>(3.98942280401432677940e-1), + static_cast<RealType>(8.12222388783621449146e-2), + static_cast<RealType>(1.68515703707271703934e-2), + static_cast<RealType>(2.19801627205374824460e-3), + static_cast<RealType>(-5.63321705854968264807e-5), + }; + BOOST_MATH_STATIC const RealType Q[5] = { + static_cast<RealType>(1.), + static_cast<RealType>(6.02536240902768558315e-1), + static_cast<RealType>(1.99284471400121092380e-1), + static_cast<RealType>(3.48012577961755452113e-2), + static_cast<RealType>(3.38545004473058881799e-3), + }; + + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t) * t; + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_cdf_plus_imp_prec(const RealType& x, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (x < 0.125) { + // Rational Approximation + // Maximum Relative Error: 6.9340e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[30] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.0e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.25520067710293108163697513129883130648e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.70866020657515874782126804139443323023e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.00865235319309486225795793030882782077e7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.15226363537737769449645357346965170790e10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.90371247243851280277289046301838071764e12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.55124590509169425751300134399513503679e14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.31282020412787511681760982839078664474e16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.81134278666896523873256421982740565131e18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.36154530125229747305141034242362609073e20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.67793867640429875837167908549938345465e22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34584264816825205490037614178084070903e24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.52622279567059369718208827282730379468e25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.84678324511679577282571711018484545185e27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.99412564257799793932936828924325638617e28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.08467105431111959283045453636520222779e30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.87466808926544728702827204697734995611e31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.55020252231174414164534905191762212055e32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.69582736077420504345389671165954321163e33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.18203860972249826626461130638196586188e34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.32955733788770318392204091471121129386e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.97972270315674052071792562126668438695e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.93941537398987201071027348577636994465e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.40818708062034138095495206258366082481e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.76833406751769751643745383413977973530e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.67873467711368838525239991688791162617e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.94179310584115437584091984619858795365e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24348215908456320362232906012152922949e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71625432346533320597285660433110657670e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.54662474187354179772157464533408058525e33), + }; + BOOST_MATH_STATIC const RealType Q[31] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05231337496532137901354609636674085703e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.43071888317491317900094470796567113997e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.80864482202910830302921131771345102044e8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.32755297215862998181755216820621285536e10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.86251123527611073428156549377791985741e12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.12025543961949466786297141758805461421e15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27681657695574252637426145112570596483e17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17850553865715973904162289375819555884e19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.87285897504702686250962844939736867339e20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.46852796231948446334549476317560711795e22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.76101689878844725930808096548998198853e24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14017776727845251567032313915953239178e26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.83738954971390158348334918235614003163e27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04701345216121451992682705965658316871e29), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29994190638467725374533751141434904865e30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.03334024242845994501493644478442360593e31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.59094378123268840693978620156028975277e32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.05630254163426327113368743426054256780e33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.06008195534030444387061989883493342898e34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.21262490304347036689874956206774563906e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52353024633841796119920505314785365242e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.28839143293381125956284415313626962263e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31074057704096457802547386358094338369e37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.24762412200364040971704861346921094354e37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.55663903116458425420509083471048286114e37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.81839283802391753865642022579846918253e37), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.40026559327708207943879092058654410696e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48767474646810049293505781106444169229e36), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10591353097667671736865938428051885499e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.26980708896893794012677171239610721832e33), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, x) / tools::evaluate_polynomial(Q, x); + } + else if (x < 0.25) { + RealType t = x - static_cast <RealType>(0.125); + + // Rational Approximation + // Maximum Relative Error: 9.6106e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.31887921568009055676985827521151969069e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.62791448964529380666250180886203090183e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.18238045199893937316918299064825702894e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.77274519306540522227493503092956314136e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.89424638466340765479970877448972418958e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.84027004420207996285174223581748706097e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.84633134142285937075423713704784530853e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76780579189423063605715733542379494552e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19812409802969581112716039533798357401e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60039008588877024309600768114757310858e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.10268260529501421009222937882726290612e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.72169594688819848498039471657587836720e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.27181379647139697258984772894869505788e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.73617450590346508706222885401965820190e1), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.18558935411552146390814444666395959919e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.49210559503096368944407109881023223654e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.93959323596111340518285858313038058302e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.53590607436758691037825792660167970938e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.82700985983018132572589829602100319330e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.62137033935442506086127262036686905276e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.76014299715348555304267927238963139228e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.12336796972134088340556958396544477713e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.01952132024838508233050167059872220508e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.41846547214877387780832317250797043384e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.02083431572388097955901208994308271581e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.30401057171447074343957754855656724141e4), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 0.5) { + RealType t = x - static_cast <RealType>(0.25); + + // Rational Approximation + // Maximum Relative Error: 3.1519e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.87119665000174806422420129219814467874e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.60769554551148293079169764245570645155e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.49181979810834706538329284478129952168e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.15722765491675871778645250624425739489e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.65973147084701923411221710174830072860e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.93709338011482232037110656459951914303e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.57393131299425403017769538642434714791e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.24110491141294379107651487490031694257e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.23670394514211681515965192338544032862e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.06141024932329394052395469123628405389e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.08599362073145455095790192415468286304e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.22746783794652085925801188098270888502e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.19652234873414609727168969049557770989e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -5.73529976407853894192156335785920329181e-4), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.04157569499592889296640733909653747983e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.82248883130787159161541119440215325308e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.35191216924911901198168794737654512677e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.05099314677808235578577204150229855903e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.61081069236463123032873733048661305746e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.65340645555368229718826047069323437201e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.44526681322128674428653420882660351679e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.03963804195353853550682049993122898950e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.40399236835577953127465726826981753422e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.46764755170079991793106428011388637748e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.06384106042490712972156545051459068443e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.27614406724572981099586665536543423891e0), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 1) { + RealType t = x - static_cast <RealType>(0.5); + + // Rational Approximation + // Maximum Relative Error: 7.1196e-37 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.31309550000758082761278726632760756847e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.07242222531117199094690544171275415854e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.18286763141875580859241637334381199648e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.72102024869298528501604761974348686708e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.31748399999514540052066169132819656757e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.72168003284748405703923567644025252608e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52648991506052496046447777354251378257e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.16777263528764704804758173026143295383e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.66044453196259367950849328889468385159e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.35095952392355288307377427145581700484e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43011308494452327007589069222668324337e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16582092138863383294685790744721021189e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.02261914949200575965813000131964695720e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.93943913630044161720796150617166047233e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -9.76395009419307902351328300308365369814e-8), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.28073115520716780203055949058270715651e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.20245752585870752942356137496087189194e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.34548337034735803039553186623067144497e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.90925817267776213429724248532378895039e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.92883822651628140083115301005227577059e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.72868136219107985834601503784789993218e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.50498744791568911029110559017896701095e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.05178276667813671578581259848923964311e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.16880263792490095344135867620645018480e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16199396397514668672304602774610890666e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.25543193822942088303609988399416145281e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.62522294286034117189844614005500278984e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18342889744790118595835138444372660676e-3), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 2) { + RealType t = x - 1; + + // Rational Approximation + // Maximum Relative Error: 9.5605e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.71280312689343266367958859259591541365e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.49628636612698702680819948707479820292e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.61090930375686902075245639803646265081e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.01191924051756106307211298794294657688e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.42496510376427957390465373165464672088e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.59577769624139820954046058289100998534e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.02664809521258420718170586857797408674e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.72258711278476951299824066502536249701e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.72578941800687566921553416498339481887e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.12553368488232553360765667155702324159e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.20749770911901442251726681861858323649e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00621121212654384864006297569770703900e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18976033102817074104109472578202752346e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22093548539863254922531707899658394458e-10), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.83305694892673455436552817409325835774e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.49922543669955056754932640312490112609e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.23488972536322019584648241457582608908e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.14051527527038669918848981363974859889e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.37891280136777182304388426277537358346e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.08058775103864815769223385606687612117e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83305488980337433132332401784292281716e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.71072208215804671719811563659227630554e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.86332040813989094594982937011005305263e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.87698178237970337664105782546771501188e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.69113555019737313680732855691540088318e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.31888539972217875242352157306613891243e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85633766164682554126992822326956560433e-8), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 4) { + RealType t = x - 2; + + // Rational Approximation + // Maximum Relative Error: 1.1494e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.13928162275383718405630406427822960090e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.90742307267701162395764574873947997211e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.13821826367941514387521090205756466068e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.96186879146063565484800486550739025293e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19438785955706463753454881511977831603e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.44969124820016994689518539612465708536e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27841835070651018079759230944461773079e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.69952429132675045239242077293594666305e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47919853099168659881487026035933933068e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.04644774117864306055402364094681541437e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.52604718870921084048756263996119841957e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.97610950633031564892821158058978809537e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.35934159016861180185992558083703785765e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21044098237798939057079316997065892072e-14), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.94437702178976797218081686254875998984e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.82068837586514484653828718675654460991e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.87606058269189306593797764456467061128e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39130528408903116343256483948950693356e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.52792074489091396425713962375223436022e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00892233011840867583848470677898363716e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.53717105060592851173320646706141911461e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.57293857675930200001382624769341451561e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04219251796696135508847408131139677925e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.20053006131133304932740325113068767057e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.26384707028090985155079342718673255493e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.19146442700994823924806249608315505708e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.59879298772002950043508762057850408213e-12), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 8) { + RealType t = x - 4; + + // Rational Approximation + // Maximum Relative Error: 1.9710e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63772802979087199762340235165979751298e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.31941534705372320785274994658709390116e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.43643960022585762678456016437621064500e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.11415302325466272779041471612529728187e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15767742459744253874067896740220951622e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.74049309186016489825053763513176160256e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.76349898574685150849080543168157785281e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19757202370729036627932327405149840205e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.32067727965321839898287320520750897894e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47636340015260789807543414080472136575e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.36236727340568181129875213546468908164e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.89379573960280486883733996547662506245e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.71832232038263988173042637335112603365e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.72380245500539326441037770757072641975e-18), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.51702400281458104713682413542736419584e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01375164846907815766683647295932603968e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.92796007869834847612192314006582598557e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.77580441164023725582659445614058463183e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63592331843149724480258804892989851727e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.87334158717610115008450674967492650941e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46596056941432875244263245821845070102e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.69980051560936361597177347949112822752e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.61690034211585843423761830218320365457e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.40619773800285766355596852314940341504e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.10624533319804091814643828283820958419e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.10009654621246392691126133176423833259e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.48070591106986983088640496621926852293e-16), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 16) { + RealType t = x - 8; + + // Rational Approximation + // Maximum Relative Error: 5.2049e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.22610122564874286614786819620499101143e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.30352481858382230273216195795534959290e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.45933050053542949214164590814846222512e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.18776888646200567321599584635465632591e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.53421996228923143480455729204878676265e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.26075686557831306993734433164305349875e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.58045762501721375879877727645933749122e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.13469629033419341069106781092024950086e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.09157226556088521407323375433512662525e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44961350323527660188267669752380722085e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11052101325523147964890915835024505324e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.26421404354976214191891992583151033361e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.17133505681224996657291059553060754343e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41010917905686427164414364663355769988e-22), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.31062773739451672808456319166347015167e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.35386721434011881226168110614121649232e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.39357338312443465616015226804775178232e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.26630144036271792027494677957363535353e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.24340476859846183414651435036807677467e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.33917136421389571662908749253850939876e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.80972141456523767244381195690041498939e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22653625120465488656616983786525028119e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.64072452032620505897896978124863889812e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.61842001579321492488462230987972104386e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96631619425501661980194304605724632777e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.80392324086028812772385536034034039168e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.34254502871215949266781048808984963366e-20), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 32) { + RealType t = x - 16; + + // Rational Approximation + // Maximum Relative Error: 1.7434e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.03056141356415128156562790092782153630e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.15331583242023443256381237551843296356e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.81847913073640285776566199343276995613e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.23578443960486030170636772457627141406e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.36906354316016270165240908809929957836e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.80584421020238085239890207672296651219e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.20726437845755296397071540583729544203e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.71042563703818585243207722641746283288e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.08307373360265947158569900625482137206e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.80776566500233755365518221977875432763e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11405351639704510305055492207286172753e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21575609293568296049921888011966327905e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.66081982641748223969990279975752576675e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96483118060215455299182487430511998831e-26), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.77347004038951368607085827825968614455e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.27559305780716801070924630708599448466e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.05452382624230160738008550961679711827e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.75369667590360521677018734348769796476e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.56551290985905942229892419848093494661e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.46972102361871185271727958608184616388e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.72423917010499649257775199140781647069e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14337306905269302583746182007852069459e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.69949885309711859563395555285232232606e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.00318719634300754237920041312234711548e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41139664927184402637020651515172315287e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.79013190225240505774959477465594797961e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.46536966503325413797061462062918707370e-24), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else if (x < 64) { + RealType t = x - 32; + + // Rational Approximation + // Maximum Relative Error: 2.0402e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.57333571766941514095434647381791040479e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15416685251021339933358981066948923001e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.86806753164417557035166075399588122481e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.91972616817770660098405128729991574724e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10225768760715861978198010761036882002e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.05986998674039047865566990469266534338e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.59572646670205456333051888086612875871e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19347294198055585461131949159508730257e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21328285448498841418774425071549974153e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.19331596847283822557042655221763459728e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.36128017817576942059191451016251062072e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.35600223942735523925477855247725326228e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.14658948592500290756690769268766876322e-26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.86984591055448991335081550609451649866e-30), + }; + BOOST_MATH_STATIC const RealType Q[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.90112824856612652807095815199496602262e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59291524937386142936420775839969648652e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.74245361925275011235694006013677228467e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.41828589449615478387532599798645159282e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.08088176420557205743676774127863572768e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.30760429417424419297000535744450830697e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.18464910867914234357511605329900284981e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.74255540513281299503596269087176674333e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.02616028440371294233330747672966435921e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.26276597941744408946918920573146445795e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.47463109867603732992337779860914933775e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.77217411888267832243050973915295217582e-24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.67397425207383164084527830512920206074e-28), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); + } + else { + RealType t = 1 / sqrt(x); + + // Rational Approximation + // Maximum Relative Error: 9.2612e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[9] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.98942280401432677939946059934381868476e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33908701314796522684603310107061150444e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.92120397142832495974006972404741124398e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.15463147603421962834297353867930971657e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.44488751006069172847577645328482300099e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44057582804743599116332797864164802887e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.02968018188491417839349438941039867033e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -4.75092244933846337077999183310087492887e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.35099582728548602389917143511323566818e-8), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.34601617336219074065534356705298927390e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.82954035780824611941899463895040327299e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.70929001162671283123255408612494541378e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.05508596604210030533747793197422815105e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.02913299057943756875992272236063124608e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.37824426836648736125759177846682556245e-5), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t) * t; + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_cdf_imp_prec(const RealType& x, bool complement, const boost::math::integral_constant<int, 53>& tag) { + if (x >= 0) { + return complement ? saspoint5_cdf_plus_imp_prec(x, tag) : 1 - saspoint5_cdf_plus_imp_prec(x, tag); + } + else if (x <= 0) { + return complement ? 1 - saspoint5_cdf_plus_imp_prec(-x, tag) : saspoint5_cdf_plus_imp_prec(-x, tag); + } + else { + return boost::math::numeric_limits<RealType>::quiet_NaN(); + } +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_cdf_imp_prec(const RealType& x, bool complement, const boost::math::integral_constant<int, 113>& tag) { + if (x >= 0) { + return complement ? saspoint5_cdf_plus_imp_prec(x, tag) : 1 - saspoint5_cdf_plus_imp_prec(x, tag); + } + else if (x <= 0) { + return complement ? 1 - saspoint5_cdf_plus_imp_prec(-x, tag) : saspoint5_cdf_plus_imp_prec(-x, tag); + } + else { + return boost::math::numeric_limits<RealType>::quiet_NaN(); + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_cdf_imp(const saspoint5_distribution<RealType, Policy>& dist, const RealType& x, bool complement) { + // + // This calculates the cdf of the Saspoint5 distribution and/or its complement. + // + + BOOST_MATH_STD_USING // for ADL of std functions + constexpr auto function = "boost::math::cdf(saspoint5<%1%>&, %1%)"; + RealType result = 0; + RealType location = dist.location(); + RealType scale = dist.scale(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + if (false == detail::check_x(function, x, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The SaS point5 distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + RealType u = (x - location) / scale; + + result = saspoint5_cdf_imp_prec(u, complement, tag_type()); + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_quantile_upper_imp_prec(const RealType& p, const boost::math::integral_constant<int, 53>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (ilogb(p) >= -2) { + RealType u = -log2(ldexp(p, 1)); + + if (u < 0.125) { + // Rational Approximation + // Maximum Relative Error: 4.2616e-17 + BOOST_MATH_STATIC const RealType P[13] = { + static_cast<RealType>(1.36099130643975127045e-1), + static_cast<RealType>(2.19634434498311523885e1), + static_cast<RealType>(1.70276954848343179287e3), + static_cast<RealType>(8.02187341786354339306e4), + static_cast<RealType>(2.48750112198456813443e6), + static_cast<RealType>(5.20617858300443231437e7), + static_cast<RealType>(7.31202030685167303439e8), + static_cast<RealType>(6.66061403138355591915e9), + static_cast<RealType>(3.65687892725590813998e10), + static_cast<RealType>(1.06061776220305595494e11), + static_cast<RealType>(1.23930642673461465346e11), + static_cast<RealType>(1.49986408149520127078e10), + static_cast<RealType>(-6.17325587219357123900e8), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.63111146753825227716e2), + static_cast<RealType>(1.27864461509685444043e4), + static_cast<RealType>(6.10371533241799228037e5), + static_cast<RealType>(1.92422115963507708309e7), + static_cast<RealType>(4.11544185502250709497e8), + static_cast<RealType>(5.95343302992055062258e9), + static_cast<RealType>(5.65615858889758369947e10), + static_cast<RealType>(3.30833154992293143503e11), + static_cast<RealType>(1.06032392136054207216e12), + static_cast<RealType>(1.50071282012095447931e12), + static_cast<RealType>(5.43552396263989180433e11), + static_cast<RealType>(9.57434915768660935004e10), + }; + + result = u * tools::evaluate_polynomial(P, u) / (tools::evaluate_polynomial(Q, u) * (p * p)); + } + else if (u < 0.25) { + RealType t = u - static_cast <RealType>(0.125); + + // Rational Approximation + // Maximum Relative Error: 2.3770e-19 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(1.46698650748920243698e-2), + static_cast<RealType>(3.58380131788385557227e-1), + static_cast<RealType>(3.39153750029553194566e0), + static_cast<RealType>(1.55457424873957272207e1), + static_cast<RealType>(3.44403897039657057261e1), + static_cast<RealType>(3.01881531964962975320e1), + static_cast<RealType>(2.77679052294606319767e0), + static_cast<RealType>(-7.76665288232972435969e-2), + }; + BOOST_MATH_STATIC const RealType Q[7] = { + static_cast<RealType>(1.), + static_cast<RealType>(1.72584280323876188464e1), + static_cast<RealType>(1.11983518800147654866e2), + static_cast<RealType>(3.25969893054048132145e2), + static_cast<RealType>(3.91978809680672051666e2), + static_cast<RealType>(1.29874252720714897530e2), + static_cast<RealType>(2.08740114519610102248e1), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else if (u < 0.5) { + RealType t = u - static_cast <RealType>(0.25); + + // Rational Approximation + // Maximum Relative Error: 9.2445e-18 + BOOST_MATH_STATIC const RealType P[8] = { + static_cast<RealType>(2.69627866689346445458e-2), + static_cast<RealType>(3.23091180507445216811e-1), + static_cast<RealType>(1.42164019533549860681e0), + static_cast<RealType>(2.74613170828120023406e0), + static_cast<RealType>(2.07865023346180997996e0), + static_cast<RealType>(2.53267176863740856907e-1), + static_cast<RealType>(-2.55816250186301841152e-2), + static_cast<RealType>(3.02683750470398342224e-3), + }; + BOOST_MATH_STATIC const RealType Q[6] = { + static_cast<RealType>(1.), + static_cast<RealType>(8.55049920135376003042e0), + static_cast<RealType>(2.48726119139047911316e1), + static_cast<RealType>(2.79519589592198994574e1), + static_cast<RealType>(9.88212916161823866098e0), + static_cast<RealType>(1.39749417956251951564e0), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else { + RealType t = u - static_cast <RealType>(0.5); + + // Rational Approximation + // Maximum Relative Error: 2.2918e-20 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(4.79518653373241051274e-2), + static_cast<RealType>(3.81837125793765918564e-1), + static_cast<RealType>(1.13370353708146321188e0), + static_cast<RealType>(1.55218145762186846509e0), + static_cast<RealType>(9.60938271141036509605e-1), + static_cast<RealType>(2.11811755464425606950e-1), + static_cast<RealType>(8.84533960603915742831e-3), + static_cast<RealType>(1.73314614571009160225e-3), + static_cast<RealType>(-3.63491208733876986098e-5), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(6.36954463000253710936e0), + static_cast<RealType>(1.40601897306833147611e1), + static_cast<RealType>(1.33838075106916667084e1), + static_cast<RealType>(5.60958095533108032859e0), + static_cast<RealType>(1.11796035623375210182e0), + static_cast<RealType>(1.12508482637488861060e-1), + static_cast<RealType>(5.18503975949799718538e-3), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + } + else if (ilogb(p) >= -4) { + RealType t = -log2(ldexp(p, 2)); + + // Rational Approximation + // Maximum Relative Error: 4.2057e-18 + BOOST_MATH_STATIC const RealType P[10] = { + static_cast<RealType>(8.02395484493329835881e-2), + static_cast<RealType>(2.46132933068351274622e-1), + static_cast<RealType>(2.81820176867119231101e-1), + static_cast<RealType>(1.47754061028371025893e-1), + static_cast<RealType>(3.54638964490281023406e-2), + static_cast<RealType>(3.99998730093393774294e-3), + static_cast<RealType>(3.81581928434827040262e-4), + static_cast<RealType>(1.82520920154354221101e-5), + static_cast<RealType>(-2.06151396745690348445e-7), + static_cast<RealType>(6.77986548138011345849e-9), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(2.39244329037830026691e0), + static_cast<RealType>(2.12683465416376620896e0), + static_cast<RealType>(9.02612272334554457823e-1), + static_cast<RealType>(2.06667959191488815314e-1), + static_cast<RealType>(2.79328968525257867541e-2), + static_cast<RealType>(2.28216286216537879937e-3), + static_cast<RealType>(1.04195690531437767679e-4), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else if (ilogb(p) >= -8) { + RealType t = -log2(ldexp(p, 4)); + + // Rational Approximation + // Maximum Relative Error: 3.3944e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(1.39293493266195561875e-1), + static_cast<RealType>(1.26741380938661691592e-1), + static_cast<RealType>(4.31117040307200265931e-2), + static_cast<RealType>(7.50528269269498076949e-3), + static_cast<RealType>(8.63100497178570310436e-4), + static_cast<RealType>(6.75686286034521991703e-5), + static_cast<RealType>(3.11102625473120771882e-6), + static_cast<RealType>(9.63513655399980075083e-8), + static_cast<RealType>(-6.40223609013005302318e-11), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(8.11234548272888947555e-1), + static_cast<RealType>(2.63525516991753831892e-1), + static_cast<RealType>(4.77118226533147280522e-2), + static_cast<RealType>(5.46090741266888954909e-3), + static_cast<RealType>(4.15325425646862026425e-4), + static_cast<RealType>(2.02377681998442384863e-5), + static_cast<RealType>(5.79823311154876056655e-7), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else if (ilogb(p) >= -16) { + RealType t = -log2(ldexp(p, 8)); + + // Rational Approximation + // Maximum Relative Error: 4.1544e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(1.57911660613037760235e-1), + static_cast<RealType>(5.59740955695099219682e-2), + static_cast<RealType>(8.92895854008560399142e-3), + static_cast<RealType>(8.88795299273855801726e-4), + static_cast<RealType>(5.66358335596607738071e-5), + static_cast<RealType>(2.46733195253941569922e-6), + static_cast<RealType>(6.44829870181825872501e-8), + static_cast<RealType>(7.62193242864380357931e-10), + static_cast<RealType>(-7.82035413331699873450e-14), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.49007782566002620811e-1), + static_cast<RealType>(5.65303702876260444572e-2), + static_cast<RealType>(5.54316442661801299351e-3), + static_cast<RealType>(3.58498995501703237922e-4), + static_cast<RealType>(1.53872913968336341278e-5), + static_cast<RealType>(4.08512152326482573624e-7), + static_cast<RealType>(4.72959615756470826429e-9), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else if (ilogb(p) >= -32) { + RealType t = -log2(ldexp(p, 16)); + + // Rational Approximation + // Maximum Relative Error: 8.5877e-18 + BOOST_MATH_STATIC const RealType P[10] = { + static_cast<RealType>(1.59150086070234563099e-1), + static_cast<RealType>(6.07144002506911115092e-2), + static_cast<RealType>(1.10026443723891740392e-2), + static_cast<RealType>(1.24892739209332398698e-3), + static_cast<RealType>(9.82922518655171276487e-5), + static_cast<RealType>(5.58366837526347222893e-6), + static_cast<RealType>(2.29005408647580194007e-7), + static_cast<RealType>(6.44325718317518336404e-9), + static_cast<RealType>(1.05110361316230054467e-10), + static_cast<RealType>(1.48083450629432857655e-18), + }; + BOOST_MATH_STATIC const RealType Q[9] = { + static_cast<RealType>(1.), + static_cast<RealType>(3.81470315977341203351e-1), + static_cast<RealType>(6.91330250512167919573e-2), + static_cast<RealType>(7.84712209182587717077e-3), + static_cast<RealType>(6.17595479676821181012e-4), + static_cast<RealType>(3.50829361179041199953e-5), + static_cast<RealType>(1.43889153071571504712e-6), + static_cast<RealType>(4.04840254888235877998e-8), + static_cast<RealType>(6.60429636407045050112e-10), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else if (ilogb(p) >= -64) { + RealType t = -log2(ldexp(p, 32)); + + // Rational Approximation + // Maximum Relative Error: 8.7254e-17 + BOOST_MATH_STATIC const RealType P[9] = { + static_cast<RealType>(1.59154943017783026201e-1), + static_cast<RealType>(6.91506515614472069475e-2), + static_cast<RealType>(1.44590186111155933843e-2), + static_cast<RealType>(1.92616138327724025421e-3), + static_cast<RealType>(1.79640147906775699469e-4), + static_cast<RealType>(1.30852535070639833809e-5), + static_cast<RealType>(5.55259657884038297268e-7), + static_cast<RealType>(3.50107118687544980820e-8), + static_cast<RealType>(-1.47102592933729597720e-22), + }; + BOOST_MATH_STATIC const RealType Q[8] = { + static_cast<RealType>(1.), + static_cast<RealType>(4.34486357752330500669e-1), + static_cast<RealType>(9.08486933075320995164e-2), + static_cast<RealType>(1.21024289017243304241e-2), + static_cast<RealType>(1.12871233794777525784e-3), + static_cast<RealType>(8.22170725751776749123e-5), + static_cast<RealType>(3.48879932410650101194e-6), + static_cast<RealType>(2.19978790407451988423e-7), + }; + + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else { + result = 1 / (p * p * constants::two_pi<RealType>()); + } + + return result; +} + + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_quantile_upper_imp_prec(const RealType& p, const boost::math::integral_constant<int, 113>&) +{ + BOOST_MATH_STD_USING + RealType result; + + if (ilogb(p) >= -2) { + RealType u = -log2(ldexp(p, 1)); + + if (u < 0.125) { + // Rational Approximation + // Maximum Relative Error: 2.5675e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[31] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36099130643975133156293056139850872219e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.03940482189350763127508703926866548690e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.00518276893354880480781640750482315271e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.55844903094077096941027360107304259099e6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04507684135310729583474324660276395831e9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.28519957085041757616278379578781441623e11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.26054173986187219679917530171252145632e13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00693075272502479915569708465960917906e15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.64153695410984136395853200311209462775e16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.64993034609287363745840801813540992383e18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.68080300629977787949474098413155901197e20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.50632142671665246974634799849090331338e21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.11943753054362349397013211631038480307e23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.80601829873419334580289886671478701625e24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33441650581633426542372642262736818512e26), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.56279427934163518272441555879970370340e27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.08899113985387092689705022477814364717e28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.37750989391907347952902900750138805007e29), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.76961267256299304213687639380275530721e30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.98417586455955659885944915688130612888e31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.40932923796679251232655132670811114351e32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.80810239916688876216017180714744912573e33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.23907429566810200929293428832485038147e33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.11441754640405256305951569489818422227e34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.30534222360394829628175800718529342304e34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.73301799323855143458670230536670073483e34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.53142592196246595846485130434777396548e34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.81719621726393542967303806360105998384e34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.00188544550531824809437206713326495544e33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.62706943144847786115732327787879709587e32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.32129438774563059735783287456769609571e31), + }; + BOOST_MATH_STATIC const RealType Q[32] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.65910866673514847742559406762379054364e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21954860438789969160116317316418373146e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.85684385746348850219351196129081986508e7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.76131116920014625994371306210585646224e9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.57402411617965582839975369786525269977e11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.42213951996062253608905591667405322835e13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.55477693883842522631954327528060778834e15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.00397907346473927493255003955380711046e17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.76305959503723486331556274939198109922e19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.27926540483498824808520492399128682366e21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.98253913105291675445666919447864520248e22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.63457445658532249936389003141915626894e24), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.51446616633910582673057455450707805902e25), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04744823698010333311911891992022528040e27), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.03400927415310540137351756981742318263e28), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.28761940359662123632247441327784689568e29), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.39016138777648624292953560568071708327e30), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.79639567867465767764785448609833337532e31), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.23406781975678544311073661662680006588e32), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.97261483656310352862554580475760827374e33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.62715040832592600542933595577003951697e34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.77359945057399130202830211722221279906e34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.07842295432910751940058270741081867701e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.51739306780247334064265249344359460675e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.60574331076505049588401700048488577194e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.08286808700840316336961663635580879141e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.27661033115008662284071342245200272702e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00465576791024249023365007797010262700e35), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83311248273885136105510175099322638440e34), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96635220211386288597285960837372073054e33), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.23849744128418288892902205619933047730e32), + }; + // LCOV_EXCL_STOP + result = u * tools::evaluate_polynomial(P, u) / (tools::evaluate_polynomial(Q, u) * (p * p)); + } + else if (u < 0.25) { + RealType t = u - static_cast <RealType>(0.125); + + // Rational Approximation + // Maximum Relative Error: 9.0663e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.46698650748920243663487731226111319705e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.39021286045890143123252180276484388346e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21933242816562043224009451007344301143e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33741547463966207206741888477702151242e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.29556944160837955334643715180923663741e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.25261081330476435844217173674285740857e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.28690563577245995896389783271544510833e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.51764495004238264050843085122188741180e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.00501773552098137637598813101153206656e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.93991776883375928647775429233323885440e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.13059418708769178567954713937745050279e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.41565791250614170744069436181282300453e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.35838723365672196069179944509778281549e1), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.63888803456697300467924455320638435538e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.74785179836182339383932806919167693991e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.15133301804008879476562749311747788645e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.87361675398393057971764841741518474061e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.02992617475892211368309739891693879676e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.36356854400440662641546588001882412251e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.35807552915245783626759227539698719908e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75959389290929178190646034566377062463e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18514088996371641206828142820042918681e5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.54881978220293930450469794941944831047e4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.83958740186543542804045767758191509433e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.26637084978098507405883170227585648985e2), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else if (u < 0.5) { + RealType t = u - static_cast <RealType>(0.25); + + // Rational Approximation + // Maximum Relative Error: 7.1265e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[14] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.69627866689346442965083437425920959525e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.28948812330446670380449765578224539665e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.38832694133021352110245148952631526683e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.70206624753427831733487031852769976576e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.34677850226082773550206949299306677736e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.18657422004942861459539366963056149110e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.90933843076824719761937043667767333536e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.78597771586582252472927601403235921029e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.76489020985978559079198751910122765603e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.37662018494780327201390375334403954354e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11303058491765900888068268844399186476e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.38147649159947518976483710606042789880e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.81260575060831053615857196033574207714e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, -1.26783311530618626413866321968979725353e-3), + }; + BOOST_MATH_STATIC const RealType Q[13] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.98941943311823528497840052715295329781e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70142252619301982454969690308614487433e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.17472255695869018956165466705137979540e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.42016169942136311355803413981032780219e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.55874385736597452997483327962434131932e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.45782883079400958761816030672202996788e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.05272877129840019671123017296056938361e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.79833037593794381103412381177370862105e3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.67388248713896792948592889733513376054e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.19952164110429183557842014635391021832e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.43813483967503071358907030110791934870e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.21327682641358836049127780506729428797e-1), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else { + RealType t = u - static_cast <RealType>(0.5); + + // Rational Approximation + // Maximum Relative Error: 2.7048e-37 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.79518653373241051262822702930040975338e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.62230291299220868262265687829866364204e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.87315544620612697712513318458226575394e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.38993950875334507399211313740958438201e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.54257654902026056547861805085572437922e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85673656862223617197701693270067722169e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47842193222521213922734312546590337064e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.76640627287007744941009407221495229316e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.71884893887802925773271837595143776207e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.87432154629995817972739015224205530101e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.44664933176248007092868241686074743562e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.32094739938150047092982705610586287965e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.18537678581395571564129512698022192316e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.99365265557355974918712592061740510276e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.66467016868206844419002547523627548705e-6), + }; + BOOST_MATH_STATIC const RealType Q[15] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01315080955831561204744043759079263546e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.43409077070585581955481063438385546913e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.09863540097812452102765922256432103612e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.69971336507400724019217277303598318934e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.71444880426858110981683485927452024652e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15252748520663939799185721687082682973e2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.28399989835264172624148638350889215004e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.73464700365199500083227290575797895127e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.40421770918884020099427978511354197438e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.97023025282119988988976542004620759235e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.38774609088015115009880504176630591783e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.52748138528630655371589047000668876440e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.13088455793478303045390386135591069087e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.18220605549460262119565543089703387122e-5), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + } + else if (ilogb(p) >= -4) { + RealType t = -log2(ldexp(p, 2)); + + // Rational Approximation + // Maximum Relative Error: 3.8969e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.02395484493329839255216366819344305871e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.02703992140456336967688958960484716694e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.38779662796374026809611637926067177436e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.22326903547451397450399124548020897393e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.29321119874906326000117036864856138032e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60045794013093831332658415095234082115e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.75863216252160126657107771372004587438e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.65658718311497180532644775193008407069e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.53225259384404343896446164609240157391e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17876243295156782920260122855798305258e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59647007234516896762020830535717539733e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.64519789656979327339865975091579252352e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29566724776730544346201080459027524931e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.40979492647851412567441418477263395917e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.78894057948338305679452471174923939381e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.97064244496171921075006182915678263370e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.13496588267213644899739513941375650458e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.75224691413667093006312591320754720811e-14), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.59000688626663121310675150262772434285e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.37518060227321498297232252379976917550e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.96559443266702775026538144474892076437e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.81865210018244220041408788510705356696e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15188291931842064325756652570456168425e1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.16909307081950035111952362482113369939e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.68454509269150307761046136063890222011e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.06391236761753712424925832120306727169e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.35744804731044427608283991933125506859e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00655928177646208520006978937806043639e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04093230988242553633939757013466501271e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.07921031269974885975846184199640060403e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.61356596082773699708092475561216104426e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.83968520269928804453766899533464507543e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.44620973323561344735660659502096499899e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.84398925760354259350870730551452956164e-11), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else if (ilogb(p) >= -8) { + RealType t = -log2(ldexp(p, 4)); + + // Rational Approximation + // Maximum Relative Error: 4.0176e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.39293493266195566603513288406748830312e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.75724665658983779947977436518056682748e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.42437549740894393207094008058345312893e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.26189619865771499663660627120168211026e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.38952430871711360962228087792821341859e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.09604487371653920602809626594722822237e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.06215021409396534038209460967790566899e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.02245531075243838209245241246011523536e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.52822482024384335373072062232322682354e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.32527687997718638700761890588399465467e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.54799997015944073019842889902521208940e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59368565314052950335981455903474908073e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.09459594346367728583560281313278117879e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.30296867679720593932307487485758431355e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04594079707862644415224596859620253913e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.40274507498190913768918372242285652373e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.48644117815971872777609922455371868747e-16), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.88079839671202113888025645668230104601e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.58898753182105924446845274197682915131e0), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.05418719178760837974322764299800701708e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.76439568495464423890950166804368135632e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.87661284201828717694596419805804620767e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29462021166220769918154388930589492957e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.89960014717788045459266868996575581278e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.21759236630028632465777310665839652757e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.08884467282860764261728614542418632608e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60098870889198704716300891829788260654e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.00120123451682223443624210304146589040e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.08868117923724451329261971335574401646e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.07346130275947166224129347124306950150e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.57848230665832873347797099944091265220e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.50841502849442327828534131901583916707e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.19165038770000448560339443014882434202e-15), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else if (ilogb(p) >= -16) { + RealType t = -log2(ldexp(p, 8)); + + // Rational Approximation + // Maximum Relative Error: 4.1682e-36 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.57911660613037766795694241662819364797e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.28799302413396670477035614399187456630e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.87488304496324715063356722168914018093e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.15106082041721012436439208357739139578e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.91744691940169259573871742836817806248e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.40707390548486625606656777332664791183e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.37047148097688601398129659532643297674e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.88039545021930711122085375901243257574e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.22254460725736448552173288004145978774e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.58462349007293730244197837509157696852e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.95242372547984999431208546685672497090e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10113734998651793201123616276573169622e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.38963677413425618019569452771868834246e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.45242599273032563942546507899265865936e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.64855118157117311049698715635863670233e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.31679318790012894619592273346600264199e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.97289727214495789126072009268721022605e-20), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.10184661848812835285809771940181522329e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.06179300560230499194426573196970342618e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.23171547302923911058112454487643162794e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.20486436116678834807354529081908850425e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.51239574861351183874145649960640500707e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48939385253081273966380467344920741615e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18148716720470800170115047757600735127e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.68156131480770927662478944117713742978e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.13720275846166334505537351224097058812e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.85505701632948614345319635028225905820e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.91876669388212587242659571229471930880e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.12971661051277278610784329698988278013e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.31096179726750865531615367639563072055e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.03579138802970748888093188937926461893e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.45570688568663643410924100311054014175e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.23959804461200982866930072222355142173e-19), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else if (ilogb(p) >= -32) { + RealType t = -log2(ldexp(p, 16)); + + // Rational Approximation + // Maximum Relative Error: 6.2158e-37 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59150086070234561732507586188017224084e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.80849532387385837583114307010320459997e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.41158479406270598752210344238285334672e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.88824037165656723581890282427897772492e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.82912940787568736176030025420621547622e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.36469458704261637785603215754389736108e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.13801486421774537025334682673091205328e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.97058432407176502984043208925327069250e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.60823277541385163663463406307766614689e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.45016369260792040947272022706860047646e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.54846457278644736871929319230398689553e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.67291749890916930953794688556299297735e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.18742803398417392282841454979723852423e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.13337431668170547244474715030235433597e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.37782648734897338547414800391203459036e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.17863064141234633971470839644872485483e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.58768205048500915346781559321978174829e-24), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.27782279546086824129750042200649907991e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.86934772625607907724733810228981095894e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.18640923531164938140838239032346416143e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14927915778694317602192656254187608215e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.57462121236985574785071163024761935943e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 5.11326475640883361512750692176665937785e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.49479333407835032831192117009600622344e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.01048164044583907219965175201239136609e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.42444147056333448589159611785359705792e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.72928365136507710372724683325279209464e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.30776323450676114149657959931149982200e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.51599272091669693373558919762006698549e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.12120236145539526122748260176385899774e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.65713807525694136400636427188839379484e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.40555520515542383952495965093730818381e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.51084407433793180162386990118245623958e-23), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else if (ilogb(p) >= -64) { + RealType t = -log2(ldexp(p, 32)); + + // Rational Approximation + // Maximum Relative Error: 9.8515e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59154943017783040087729009335921759322e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.35955784629344586058432079844665517425e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.24333525582177610783141409282489279582e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.58257137499954581519132407255793210808e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47191495695958634792434622715063010854e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06408464185207904662485396901099847317e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.20796977470988464880970001894205834196e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.99451680244976178843047944033382023574e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.21331607817814211329055723244764031561e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.16997758215752306644496702331954449485e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.22151810180865778439184946086488092970e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.05017329554372903197056366604190738772e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.45919279055502465343977575104142733356e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.14611865933281087898817644094411667861e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.66574579315129285098834562564888533591e-19), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.90098275536617376789480602467351545227e-21), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.56200324658873566425094389271790730206e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.35526648761411463124801128103381691418e-26), + }; + BOOST_MATH_STATIC const RealType Q[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.99582804063194774835771688139366152937e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.81210581320456331960539046132284190053e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.94358920922810097599951120081974275145e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.24831443209858422294319043037419780210e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.68584098673893150929178892200446909375e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.90058244779420124535106788512940199547e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.88151039746201934320258158884886191886e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.62348975553160355852344937226490493460e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.62007418751593938350474825754731470453e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.67502458979132962529935588245058477825e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.91648040348401277706598232576212305626e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.05843052379331618504561151714467880641e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.20127592059771206959014911028588129920e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.04661894930286305556240859086772458465e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.19442269177165740287568170417649762849e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.81435584873372180820418114652670864136e-23), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.62145023253666168339801687459484937001e-25), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else if (ilogb(p) >= -128) { + RealType t = -log2(ldexp(p, 64)); + + // Rational Approximation + // Maximum Relative Error: 2.2157e-35 + // LCOV_EXCL_START + BOOST_MATH_STATIC const RealType P[18] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.59154943091895335751628149866310390641e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.91164927854420277537616294413463565970e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47557801928232619499125670863084398577e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.06172621625221091203249391660455847328e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.11720157411653968975956625234656001375e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.70086412127379161257840749700428137407e-5), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11069186177775505692019195793079552937e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.04581765901792649215653828121992908775e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.78996797234624395264657873201296117159e-9), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.10365978021268853654282661591051834468e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.76744621013787434243259445839624450867e-12), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.11110170303355425599446515240949433934e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.83669090335022069229153919882930282425e-15), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.09633460833089193733622172621696983652e-17), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.16200852052266861122422190933586966917e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.47795810090424252745150042033544310609e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.35722092370326505616747155207965300634e-22), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 8.98381676423023212724768510437325359364e-51), + }; + BOOST_MATH_STATIC const RealType Q[17] = { + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 4.34271731953273239691423485699928257808e-1), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.27133013035186849140772481980360839559e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.29542078693828543560388747333519393752e-2), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.33027698228265344561650492600955601983e-3), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.06868444562964057795387778972002636261e-4), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.97868278672593071151212650783507879919e-6), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.79869926850283188785885503049178903204e-7), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.75298857713475428388051708713106549590e-8), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.93449891515741631942400181171061740767e-10), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 2.36715626731277089044713008494971829270e-11), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 6.98125789528264426960496891930942311971e-13), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.78234546049400950544724588355539821858e-14), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.83044000387150792693434128054414524740e-16), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 7.30111486296552039483196431122555524886e-18), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 9.28628462422858135083238952377446358986e-20), + BOOST_MATH_BIG_CONSTANT(RealType, 113, 1.48108558735886480298604270981393793162e-21), + }; + // LCOV_EXCL_STOP + result = tools::evaluate_polynomial(P, t) / (tools::evaluate_polynomial(Q, t) * (p * p)); + } + else { + result = 1 / (p * p * constants::two_pi<RealType>()); + } + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_quantile_imp_prec(const RealType& p, bool complement, const boost::math::integral_constant<int, 53>& tag) +{ + if (p > 0.5) { + return !complement ? saspoint5_quantile_upper_imp_prec(1 - p, tag) : -saspoint5_quantile_upper_imp_prec(1 - p, tag); + } + + return complement ? saspoint5_quantile_upper_imp_prec(p, tag) : -saspoint5_quantile_upper_imp_prec(p, tag); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_quantile_imp_prec(const RealType& p, bool complement, const boost::math::integral_constant<int, 113>& tag) +{ + if (p > 0.5) { + return !complement ? saspoint5_quantile_upper_imp_prec(1 - p, tag) : -saspoint5_quantile_upper_imp_prec(1 - p, tag); + } + + return complement ? saspoint5_quantile_upper_imp_prec(p, tag) : -saspoint5_quantile_upper_imp_prec(p, tag); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_quantile_imp(const saspoint5_distribution<RealType, Policy>& dist, const RealType& p, bool complement) +{ + // This routine implements the quantile for the Saspoint5 distribution, + // the value p may be the probability, or its complement if complement=true. + + constexpr auto function = "boost::math::quantile(saspoint5<%1%>&, %1%)"; + BOOST_MATH_STD_USING // for ADL of std functions + + RealType result = 0; + RealType scale = dist.scale(); + RealType location = dist.location(); + + if (false == detail::check_location(function, location, &result, Policy())) + { + return result; + } + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + if (false == detail::check_probability(function, p, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The SaS point5 distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + result = location + scale * saspoint5_quantile_imp_prec(p, complement, tag_type()); + + return result; +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_entropy_imp_prec(const boost::math::integral_constant<int, 53>&) +{ + return static_cast<RealType>(3.63992444568030649573); +} + +template <class RealType> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_entropy_imp_prec(const boost::math::integral_constant<int, 113>&) +{ + return BOOST_MATH_BIG_CONSTANT(RealType, 113, 3.6399244456803064957308496039071853510); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType saspoint5_entropy_imp(const saspoint5_distribution<RealType, Policy>& dist) +{ + // This implements the entropy for the Saspoint5 distribution, + + constexpr auto function = "boost::math::entropy(saspoint5<%1%>&, %1%)"; + BOOST_MATH_STD_USING // for ADL of std functions + + RealType result = 0; + RealType scale = dist.scale(); + + if (false == detail::check_scale(function, scale, &result, Policy())) + { + return result; + } + + typedef typename tools::promote_args<RealType>::type result_type; + typedef typename policies::precision<result_type, Policy>::type precision_type; + typedef boost::math::integral_constant<int, + precision_type::value <= 0 ? 0 : + precision_type::value <= 53 ? 53 : + precision_type::value <= 113 ? 113 : 0 + > tag_type; + + static_assert(tag_type::value, "The SaS point5 distribution is only implemented for types with known precision, and 113 bits or fewer in the mantissa (ie 128 bit quad-floats"); + + result = saspoint5_entropy_imp_prec<RealType>(tag_type()) + log(scale); + + return result; +} + +} // detail + +template <class RealType = double, class Policy = policies::policy<> > +class saspoint5_distribution +{ + public: + typedef RealType value_type; + typedef Policy policy_type; + + BOOST_MATH_GPU_ENABLED saspoint5_distribution(RealType l_location = 0, RealType l_scale = 1) + : mu(l_location), c(l_scale) + { + constexpr auto function = "boost::math::saspoint5_distribution<%1%>::saspoint5_distribution"; + RealType result = 0; + detail::check_location(function, l_location, &result, Policy()); + detail::check_scale(function, l_scale, &result, Policy()); + } // saspoint5_distribution + + BOOST_MATH_GPU_ENABLED RealType location()const + { + return mu; + } + BOOST_MATH_GPU_ENABLED RealType scale()const + { + return c; + } + + private: + RealType mu; // The location parameter. + RealType c; // The scale parameter. +}; + +typedef saspoint5_distribution<double> saspoint5; + +#ifdef __cpp_deduction_guides +template <class RealType> +saspoint5_distribution(RealType) -> saspoint5_distribution<typename boost::math::tools::promote_args<RealType>::type>; +template <class RealType> +saspoint5_distribution(RealType, RealType) -> saspoint5_distribution<typename boost::math::tools::promote_args<RealType>::type>; +#endif + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const saspoint5_distribution<RealType, Policy>&) +{ // Range of permissible values for random variable x. + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) + { + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. + } + else + { // Can only use max_value. + using boost::math::tools::max_value; + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + max. + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const saspoint5_distribution<RealType, Policy>&) +{ // Range of supported values for random variable x. + // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. + BOOST_MATH_IF_CONSTEXPR (boost::math::numeric_limits<RealType>::has_infinity) + { + return boost::math::pair<RealType, RealType>(-boost::math::numeric_limits<RealType>::infinity(), boost::math::numeric_limits<RealType>::infinity()); // - to + infinity. + } + else + { // Can only use max_value. + using boost::math::tools::max_value; + return boost::math::pair<RealType, RealType>(-tools::max_value<RealType>(), max_value<RealType>()); // - to + max. + } +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType pdf(const saspoint5_distribution<RealType, Policy>& dist, const RealType& x) +{ + return detail::saspoint5_pdf_imp(dist, x); +} // pdf + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType cdf(const saspoint5_distribution<RealType, Policy>& dist, const RealType& x) +{ + return detail::saspoint5_cdf_imp(dist, x, false); +} // cdf + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType quantile(const saspoint5_distribution<RealType, Policy>& dist, const RealType& p) +{ + return detail::saspoint5_quantile_imp(dist, p, false); +} // quantile + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<saspoint5_distribution<RealType, Policy>, RealType>& c) +{ + return detail::saspoint5_cdf_imp(c.dist, c.param, true); +} // cdf complement + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<saspoint5_distribution<RealType, Policy>, RealType>& c) +{ + return detail::saspoint5_quantile_imp(c.dist, c.param, true); +} // quantile complement + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mean(const saspoint5_distribution<RealType, Policy> &dist) +{ + // There is no mean: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The SaS point5 Distribution has no mean"); + + return policies::raise_domain_error<RealType>( + "boost::math::mean(saspoint5<%1%>&)", + "The SaS point5 distribution does not have a mean: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType variance(const saspoint5_distribution<RealType, Policy>& /*dist*/) +{ + // There is no variance: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The SaS point5 Distribution has no variance"); + + return policies::raise_domain_error<RealType>( + "boost::math::variance(saspoint5<%1%>&)", + "The SaS point5 distribution does not have a variance: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType mode(const saspoint5_distribution<RealType, Policy>& dist) +{ + return dist.location(); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType median(const saspoint5_distribution<RealType, Policy>& dist) +{ + return dist.location(); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType skewness(const saspoint5_distribution<RealType, Policy>& /*dist*/) +{ + // There is no skewness: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The SaS point5 Distribution has no skewness"); + + return policies::raise_domain_error<RealType>( + "boost::math::skewness(saspoint5<%1%>&)", + "The SaS point5 distribution does not have a skewness: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); // infinity? +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const saspoint5_distribution<RealType, Policy>& /*dist*/) +{ + // There is no kurtosis: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The SaS point5 Distribution has no kurtosis"); + + return policies::raise_domain_error<RealType>( + "boost::math::kurtosis(saspoint5<%1%>&)", + "The SaS point5 distribution does not have a kurtosis: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const saspoint5_distribution<RealType, Policy>& /*dist*/) +{ + // There is no kurtosis excess: + typedef typename Policy::assert_undefined_type assert_type; + static_assert(assert_type::value == 0, "The SaS point5 Distribution has no kurtosis excess"); + + return policies::raise_domain_error<RealType>( + "boost::math::kurtosis_excess(saspoint5<%1%>&)", + "The SaS point5 distribution does not have a kurtosis: " + "the only possible return value is %1%.", + boost::math::numeric_limits<RealType>::quiet_NaN(), Policy()); +} + +template <class RealType, class Policy> +BOOST_MATH_GPU_ENABLED inline RealType entropy(const saspoint5_distribution<RealType, Policy>& dist) +{ + return detail::saspoint5_entropy_imp(dist); +} + +}} // namespaces + + +#endif // BOOST_STATS_SASPOINT5_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/students_t.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/students_t.hpp index b01b8aa0fc..39f20d6e41 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/students_t.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/students_t.hpp @@ -1,7 +1,7 @@ // Copyright John Maddock 2006. // Copyright Paul A. Bristow 2006, 2012, 2017. // Copyright Thomas Mang 2012. - +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -12,14 +12,17 @@ // http://en.wikipedia.org/wiki/Student%27s_t_distribution // http://www.itl.nist.gov/div898/handbook/eda/section3/eda3664.htm +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/beta.hpp> // for ibeta(a, b, x). #include <boost/math/special_functions/digamma.hpp> #include <boost/math/distributions/complement.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> #include <boost/math/distributions/normal.hpp> - -#include <utility> +#include <boost/math/policies/policy.hpp> #ifdef _MSC_VER # pragma warning(push) @@ -35,20 +38,20 @@ public: typedef RealType value_type; typedef Policy policy_type; - students_t_distribution(RealType df) : df_(df) + BOOST_MATH_GPU_ENABLED students_t_distribution(RealType df) : df_(df) { // Constructor. RealType result; detail::check_df_gt0_to_inf( // Checks that df > 0 or df == inf. "boost::math::students_t_distribution<%1%>::students_t_distribution", df_, &result, Policy()); } // students_t_distribution - RealType degrees_of_freedom()const + BOOST_MATH_GPU_ENABLED RealType degrees_of_freedom()const { return df_; } // Parameter estimation: - static RealType find_degrees_of_freedom( + BOOST_MATH_GPU_ENABLED static RealType find_degrees_of_freedom( RealType difference_from_mean, RealType alpha, RealType beta, @@ -68,26 +71,26 @@ students_t_distribution(RealType)->students_t_distribution<typename boost::math: #endif template <class RealType, class Policy> -inline const std::pair<RealType, RealType> range(const students_t_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const students_t_distribution<RealType, Policy>& /*dist*/) { // Range of permissible values for random variable x. // Now including infinity. using boost::math::tools::max_value; - //return std::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); - return std::pair<RealType, RealType>(((::std::numeric_limits<RealType>::is_specialized & ::std::numeric_limits<RealType>::has_infinity) ? -std::numeric_limits<RealType>::infinity() : -max_value<RealType>()), ((::std::numeric_limits<RealType>::is_specialized & ::std::numeric_limits<RealType>::has_infinity) ? +std::numeric_limits<RealType>::infinity() : +max_value<RealType>())); + //return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(((::boost::math::numeric_limits<RealType>::is_specialized & ::boost::math::numeric_limits<RealType>::has_infinity) ? -boost::math::numeric_limits<RealType>::infinity() : -max_value<RealType>()), ((::boost::math::numeric_limits<RealType>::is_specialized & ::boost::math::numeric_limits<RealType>::has_infinity) ? +boost::math::numeric_limits<RealType>::infinity() : +max_value<RealType>())); } template <class RealType, class Policy> -inline const std::pair<RealType, RealType> support(const students_t_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const students_t_distribution<RealType, Policy>& /*dist*/) { // Range of supported values for random variable x. // Now including infinity. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - //return std::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); - return std::pair<RealType, RealType>(((::std::numeric_limits<RealType>::is_specialized & ::std::numeric_limits<RealType>::has_infinity) ? -std::numeric_limits<RealType>::infinity() : -max_value<RealType>()), ((::std::numeric_limits<RealType>::is_specialized & ::std::numeric_limits<RealType>::has_infinity) ? +std::numeric_limits<RealType>::infinity() : +max_value<RealType>())); + //return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(((::boost::math::numeric_limits<RealType>::is_specialized & ::boost::math::numeric_limits<RealType>::has_infinity) ? -boost::math::numeric_limits<RealType>::infinity() : -max_value<RealType>()), ((::boost::math::numeric_limits<RealType>::is_specialized & ::boost::math::numeric_limits<RealType>::has_infinity) ? +boost::math::numeric_limits<RealType>::infinity() : +max_value<RealType>())); } template <class RealType, class Policy> -inline RealType pdf(const students_t_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType pdf(const students_t_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_FPU_EXCEPTION_GUARD BOOST_MATH_STD_USING // for ADL of std functions. @@ -135,7 +138,7 @@ inline RealType pdf(const students_t_distribution<RealType, Policy>& dist, const } // pdf template <class RealType, class Policy> -inline RealType cdf(const students_t_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const students_t_distribution<RealType, Policy>& dist, const RealType& x) { RealType error_result; // degrees_of_freedom > 0 or infinity check: @@ -209,7 +212,7 @@ inline RealType cdf(const students_t_distribution<RealType, Policy>& dist, const } // cdf template <class RealType, class Policy> -inline RealType quantile(const students_t_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const students_t_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std functions // @@ -218,7 +221,7 @@ inline RealType quantile(const students_t_distribution<RealType, Policy>& dist, // Check for domain errors: RealType df = dist.degrees_of_freedom(); - static const char* function = "boost::math::quantile(const students_t_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const students_t_distribution<%1%>&, %1%)"; RealType error_result; if(false == (detail::check_df_gt0_to_inf( // Check that df > 0 or == +infinity. function, df, &error_result, Policy()) @@ -263,13 +266,13 @@ inline RealType quantile(const students_t_distribution<RealType, Policy>& dist, } // quantile template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<students_t_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<students_t_distribution<RealType, Policy>, RealType>& c) { return cdf(c.dist, -c.param); } template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<students_t_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<students_t_distribution<RealType, Policy>, RealType>& c) { return -quantile(c.dist, c.param); } @@ -284,10 +287,10 @@ namespace detail{ template <class RealType, class Policy> struct sample_size_func { - sample_size_func(RealType a, RealType b, RealType s, RealType d) + BOOST_MATH_GPU_ENABLED sample_size_func(RealType a, RealType b, RealType s, RealType d) : alpha(a), beta(b), ratio(s*s/(d*d)) {} - RealType operator()(const RealType& df) + BOOST_MATH_GPU_ENABLED RealType operator()(const RealType& df) { if(df <= tools::min_value<RealType>()) { // @@ -308,14 +311,14 @@ struct sample_size_func } // namespace detail template <class RealType, class Policy> -RealType students_t_distribution<RealType, Policy>::find_degrees_of_freedom( +BOOST_MATH_GPU_ENABLED RealType students_t_distribution<RealType, Policy>::find_degrees_of_freedom( RealType difference_from_mean, RealType alpha, RealType beta, RealType sd, RealType hint) { - static const char* function = "boost::math::students_t_distribution<%1%>::find_degrees_of_freedom"; + constexpr auto function = "boost::math::students_t_distribution<%1%>::find_degrees_of_freedom"; // // Check for domain errors: // @@ -330,8 +333,8 @@ RealType students_t_distribution<RealType, Policy>::find_degrees_of_freedom( detail::sample_size_func<RealType, Policy> f(alpha, beta, sd, difference_from_mean); tools::eps_tolerance<RealType> tol(policies::digits<RealType, Policy>()); - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); - std::pair<RealType, RealType> r = tools::bracket_and_solve_root(f, hint, RealType(2), false, tol, max_iter, Policy()); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::pair<RealType, RealType> r = tools::bracket_and_solve_root(f, hint, RealType(2), false, tol, max_iter, Policy()); RealType result = r.first + (r.second - r.first) / 2; if(max_iter >= policies::get_max_root_iterations<Policy>()) { @@ -342,14 +345,14 @@ RealType students_t_distribution<RealType, Policy>::find_degrees_of_freedom( } template <class RealType, class Policy> -inline RealType mode(const students_t_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType mode(const students_t_distribution<RealType, Policy>& /*dist*/) { // Assume no checks on degrees of freedom are useful (unlike mean). return 0; // Always zero by definition. } template <class RealType, class Policy> -inline RealType median(const students_t_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline RealType median(const students_t_distribution<RealType, Policy>& /*dist*/) { // Assume no checks on degrees of freedom are useful (unlike mean). return 0; // Always zero by definition. @@ -358,7 +361,7 @@ inline RealType median(const students_t_distribution<RealType, Policy>& /*dist*/ // See section 5.1 on moments at http://en.wikipedia.org/wiki/Student%27s_t-distribution template <class RealType, class Policy> -inline RealType mean(const students_t_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const students_t_distribution<RealType, Policy>& dist) { // Revised for https://svn.boost.org/trac/boost/ticket/7177 RealType df = dist.degrees_of_freedom(); if(((boost::math::isnan)(df)) || (df <= 1) ) @@ -366,13 +369,13 @@ inline RealType mean(const students_t_distribution<RealType, Policy>& dist) return policies::raise_domain_error<RealType>( "boost::math::mean(students_t_distribution<%1%> const&, %1%)", "Mean is undefined for degrees of freedom < 1 but got %1%.", df, Policy()); - return std::numeric_limits<RealType>::quiet_NaN(); + return boost::math::numeric_limits<RealType>::quiet_NaN(); } return 0; } // mean template <class RealType, class Policy> -inline RealType variance(const students_t_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType variance(const students_t_distribution<RealType, Policy>& dist) { // http://en.wikipedia.org/wiki/Student%27s_t-distribution // Revised for https://svn.boost.org/trac/boost/ticket/7177 RealType df = dist.degrees_of_freedom(); @@ -382,7 +385,7 @@ inline RealType variance(const students_t_distribution<RealType, Policy>& dist) "boost::math::variance(students_t_distribution<%1%> const&, %1%)", "variance is undefined for degrees of freedom <= 2, but got %1%.", df, Policy()); - return std::numeric_limits<RealType>::quiet_NaN(); // Undefined. + return boost::math::numeric_limits<RealType>::quiet_NaN(); // Undefined. } if ((boost::math::isinf)(df)) { // +infinity. @@ -404,7 +407,7 @@ inline RealType variance(const students_t_distribution<RealType, Policy>& dist) } // variance template <class RealType, class Policy> -inline RealType skewness(const students_t_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const students_t_distribution<RealType, Policy>& dist) { RealType df = dist.degrees_of_freedom(); if( ((boost::math::isnan)(df)) || (dist.degrees_of_freedom() <= 3)) @@ -413,13 +416,13 @@ inline RealType skewness(const students_t_distribution<RealType, Policy>& dist) "boost::math::skewness(students_t_distribution<%1%> const&, %1%)", "Skewness is undefined for degrees of freedom <= 3, but got %1%.", dist.degrees_of_freedom(), Policy()); - return std::numeric_limits<RealType>::quiet_NaN(); + return boost::math::numeric_limits<RealType>::quiet_NaN(); } return 0; // For all valid df, including infinity. } // skewness template <class RealType, class Policy> -inline RealType kurtosis(const students_t_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const students_t_distribution<RealType, Policy>& dist) { RealType df = dist.degrees_of_freedom(); if(((boost::math::isnan)(df)) || (df <= 4)) @@ -428,7 +431,7 @@ inline RealType kurtosis(const students_t_distribution<RealType, Policy>& dist) "boost::math::kurtosis(students_t_distribution<%1%> const&, %1%)", "Kurtosis is undefined for degrees of freedom <= 4, but got %1%.", df, Policy()); - return std::numeric_limits<RealType>::quiet_NaN(); // Undefined. + return boost::math::numeric_limits<RealType>::quiet_NaN(); // Undefined. } if ((boost::math::isinf)(df)) { // +infinity. @@ -451,7 +454,7 @@ inline RealType kurtosis(const students_t_distribution<RealType, Policy>& dist) } // kurtosis template <class RealType, class Policy> -inline RealType kurtosis_excess(const students_t_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const students_t_distribution<RealType, Policy>& dist) { // see http://mathworld.wolfram.com/Kurtosis.html @@ -462,7 +465,7 @@ inline RealType kurtosis_excess(const students_t_distribution<RealType, Policy>& "boost::math::kurtosis_excess(students_t_distribution<%1%> const&, %1%)", "Kurtosis_excess is undefined for degrees of freedom <= 4, but got %1%.", df, Policy()); - return std::numeric_limits<RealType>::quiet_NaN(); // Undefined. + return boost::math::numeric_limits<RealType>::quiet_NaN(); // Undefined. } if ((boost::math::isinf)(df)) { // +infinity. @@ -484,10 +487,9 @@ inline RealType kurtosis_excess(const students_t_distribution<RealType, Policy>& } template <class RealType, class Policy> -inline RealType entropy(const students_t_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType entropy(const students_t_distribution<RealType, Policy>& dist) { - using std::log; - using std::sqrt; + BOOST_MATH_STD_USING RealType v = dist.degrees_of_freedom(); RealType vp1 = (v+1)/2; RealType vd2 = v/2; diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/triangular.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/triangular.hpp index 950d78147f..b333ddbc31 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/triangular.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/triangular.hpp @@ -16,20 +16,20 @@ // http://en.wikipedia.org/wiki/Triangular_distribution +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/expm1.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> #include <boost/math/distributions/complement.hpp> #include <boost/math/constants/constants.hpp> -#include <utility> - namespace boost{ namespace math { namespace detail { template <class RealType, class Policy> - inline bool check_triangular_lower( + BOOST_MATH_GPU_ENABLED inline bool check_triangular_lower( const char* function, RealType lower, RealType* result, const Policy& pol) @@ -48,7 +48,7 @@ namespace boost{ namespace math } // bool check_triangular_lower( template <class RealType, class Policy> - inline bool check_triangular_mode( + BOOST_MATH_GPU_ENABLED inline bool check_triangular_mode( const char* function, RealType mode, RealType* result, const Policy& pol) @@ -67,7 +67,7 @@ namespace boost{ namespace math } // bool check_triangular_mode( template <class RealType, class Policy> - inline bool check_triangular_upper( + BOOST_MATH_GPU_ENABLED inline bool check_triangular_upper( const char* function, RealType upper, RealType* result, const Policy& pol) @@ -86,7 +86,7 @@ namespace boost{ namespace math } // bool check_triangular_upper( template <class RealType, class Policy> - inline bool check_triangular_x( + BOOST_MATH_GPU_ENABLED inline bool check_triangular_x( const char* function, RealType const& x, RealType* result, const Policy& pol) @@ -105,7 +105,7 @@ namespace boost{ namespace math } // bool check_triangular_x template <class RealType, class Policy> - inline bool check_triangular( + BOOST_MATH_GPU_ENABLED inline bool check_triangular( const char* function, RealType lower, RealType mode, @@ -153,7 +153,7 @@ namespace boost{ namespace math typedef RealType value_type; typedef Policy policy_type; - triangular_distribution(RealType l_lower = -1, RealType l_mode = 0, RealType l_upper = 1) + BOOST_MATH_GPU_ENABLED triangular_distribution(RealType l_lower = -1, RealType l_mode = 0, RealType l_upper = 1) : m_lower(l_lower), m_mode(l_mode), m_upper(l_upper) // Constructor. { // Evans says 'standard triangular' is lower 0, mode 1/2, upper 1, // has median sqrt(c/2) for c <=1/2 and 1 - sqrt(1-c)/2 for c >= 1/2 @@ -163,15 +163,15 @@ namespace boost{ namespace math detail::check_triangular("boost::math::triangular_distribution<%1%>::triangular_distribution",l_lower, l_mode, l_upper, &result, Policy()); } // Accessor functions. - RealType lower()const + BOOST_MATH_GPU_ENABLED RealType lower()const { return m_lower; } - RealType mode()const + BOOST_MATH_GPU_ENABLED RealType mode()const { return m_mode; } - RealType upper()const + BOOST_MATH_GPU_ENABLED RealType upper()const { return m_upper; } @@ -194,23 +194,23 @@ namespace boost{ namespace math #endif template <class RealType, class Policy> - inline const std::pair<RealType, RealType> range(const triangular_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const triangular_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); } template <class RealType, class Policy> - inline const std::pair<RealType, RealType> support(const triangular_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const triangular_distribution<RealType, Policy>& dist) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. - return std::pair<RealType, RealType>(dist.lower(), dist.upper()); + return boost::math::pair<RealType, RealType>(dist.lower(), dist.upper()); } template <class RealType, class Policy> - RealType pdf(const triangular_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED RealType pdf(const triangular_distribution<RealType, Policy>& dist, const RealType& x) { - static const char* function = "boost::math::pdf(const triangular_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::pdf(const triangular_distribution<%1%>&, %1%)"; RealType lower = dist.lower(); RealType mode = dist.mode(); RealType upper = dist.upper(); @@ -246,9 +246,9 @@ namespace boost{ namespace math } // RealType pdf(const triangular_distribution<RealType, Policy>& dist, const RealType& x) template <class RealType, class Policy> - inline RealType cdf(const triangular_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const triangular_distribution<RealType, Policy>& dist, const RealType& x) { - static const char* function = "boost::math::cdf(const triangular_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const triangular_distribution<%1%>&, %1%)"; RealType lower = dist.lower(); RealType mode = dist.mode(); RealType upper = dist.upper(); @@ -281,10 +281,10 @@ namespace boost{ namespace math } // RealType cdf(const triangular_distribution<RealType, Policy>& dist, const RealType& x) template <class RealType, class Policy> - RealType quantile(const triangular_distribution<RealType, Policy>& dist, const RealType& p) + BOOST_MATH_GPU_ENABLED RealType quantile(const triangular_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std functions (sqrt). - static const char* function = "boost::math::quantile(const triangular_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const triangular_distribution<%1%>&, %1%)"; RealType lower = dist.lower(); RealType mode = dist.mode(); RealType upper = dist.upper(); @@ -324,9 +324,9 @@ namespace boost{ namespace math } // RealType quantile(const triangular_distribution<RealType, Policy>& dist, const RealType& q) template <class RealType, class Policy> - RealType cdf(const complemented2_type<triangular_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED RealType cdf(const complemented2_type<triangular_distribution<RealType, Policy>, RealType>& c) { - static const char* function = "boost::math::cdf(const triangular_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::cdf(const triangular_distribution<%1%>&, %1%)"; RealType lower = c.dist.lower(); RealType mode = c.dist.mode(); RealType upper = c.dist.upper(); @@ -359,10 +359,10 @@ namespace boost{ namespace math } // RealType cdf(const complemented2_type<triangular_distribution<RealType, Policy>, RealType>& c) template <class RealType, class Policy> - RealType quantile(const complemented2_type<triangular_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED RealType quantile(const complemented2_type<triangular_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // Aid ADL for sqrt. - static const char* function = "boost::math::quantile(const triangular_distribution<%1%>&, %1%)"; + constexpr auto function = "boost::math::quantile(const triangular_distribution<%1%>&, %1%)"; RealType l = c.dist.lower(); RealType m = c.dist.mode(); RealType u = c.dist.upper(); @@ -408,9 +408,9 @@ namespace boost{ namespace math } // RealType quantile(const complemented2_type<triangular_distribution<RealType, Policy>, RealType>& c) template <class RealType, class Policy> - inline RealType mean(const triangular_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const triangular_distribution<RealType, Policy>& dist) { - static const char* function = "boost::math::mean(const triangular_distribution<%1%>&)"; + constexpr auto function = "boost::math::mean(const triangular_distribution<%1%>&)"; RealType lower = dist.lower(); RealType mode = dist.mode(); RealType upper = dist.upper(); @@ -424,9 +424,9 @@ namespace boost{ namespace math template <class RealType, class Policy> - inline RealType variance(const triangular_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const triangular_distribution<RealType, Policy>& dist) { - static const char* function = "boost::math::mean(const triangular_distribution<%1%>&)"; + constexpr auto function = "boost::math::mean(const triangular_distribution<%1%>&)"; RealType lower = dist.lower(); RealType mode = dist.mode(); RealType upper = dist.upper(); @@ -439,9 +439,9 @@ namespace boost{ namespace math } // RealType variance(const triangular_distribution<RealType, Policy>& dist) template <class RealType, class Policy> - inline RealType mode(const triangular_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mode(const triangular_distribution<RealType, Policy>& dist) { - static const char* function = "boost::math::mode(const triangular_distribution<%1%>&)"; + constexpr auto function = "boost::math::mode(const triangular_distribution<%1%>&)"; RealType mode = dist.mode(); RealType result = 0; // of checks. if(false == detail::check_triangular_mode(function, mode, &result, Policy())) @@ -452,10 +452,10 @@ namespace boost{ namespace math } // RealType mode template <class RealType, class Policy> - inline RealType median(const triangular_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType median(const triangular_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // ADL of std functions. - static const char* function = "boost::math::median(const triangular_distribution<%1%>&)"; + constexpr auto function = "boost::math::median(const triangular_distribution<%1%>&)"; RealType mode = dist.mode(); RealType result = 0; // of checks. if(false == detail::check_triangular_mode(function, mode, &result, Policy())) @@ -475,11 +475,11 @@ namespace boost{ namespace math } // RealType mode template <class RealType, class Policy> - inline RealType skewness(const triangular_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const triangular_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions using namespace boost::math::constants; // for root_two - static const char* function = "boost::math::skewness(const triangular_distribution<%1%>&)"; + constexpr auto function = "boost::math::skewness(const triangular_distribution<%1%>&)"; RealType lower = dist.lower(); RealType mode = dist.mode(); @@ -496,9 +496,9 @@ namespace boost{ namespace math } // RealType skewness(const triangular_distribution<RealType, Policy>& dist) template <class RealType, class Policy> - inline RealType kurtosis(const triangular_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const triangular_distribution<RealType, Policy>& dist) { // These checks may be belt and braces as should have been checked on construction? - static const char* function = "boost::math::kurtosis(const triangular_distribution<%1%>&)"; + constexpr auto function = "boost::math::kurtosis(const triangular_distribution<%1%>&)"; RealType lower = dist.lower(); RealType upper = dist.upper(); RealType mode = dist.mode(); @@ -511,9 +511,9 @@ namespace boost{ namespace math } // RealType kurtosis_excess(const triangular_distribution<RealType, Policy>& dist) template <class RealType, class Policy> - inline RealType kurtosis_excess(const triangular_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const triangular_distribution<RealType, Policy>& dist) { // These checks may be belt and braces as should have been checked on construction? - static const char* function = "boost::math::kurtosis_excess(const triangular_distribution<%1%>&)"; + constexpr auto function = "boost::math::kurtosis_excess(const triangular_distribution<%1%>&)"; RealType lower = dist.lower(); RealType upper = dist.upper(); RealType mode = dist.mode(); @@ -527,9 +527,9 @@ namespace boost{ namespace math } template <class RealType, class Policy> - inline RealType entropy(const triangular_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType entropy(const triangular_distribution<RealType, Policy>& dist) { - using std::log; + BOOST_MATH_STD_USING return constants::half<RealType>() + log((dist.upper() - dist.lower())/2); } diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/uniform.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/uniform.hpp index f57f8cc9f1..328fc61330 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/uniform.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/uniform.hpp @@ -1,5 +1,6 @@ // Copyright John Maddock 2006. // Copyright Paul A. Bristow 2006. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -15,18 +16,18 @@ // http://documents.wolfram.com/calculationcenter/v2/Functions/ListsMatrices/Statistics/UniformDistribution.html // http://en.wikipedia.org/wiki/Uniform_distribution_%28continuous%29 +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/tuple.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/distributions/detail/common_error_handling.hpp> #include <boost/math/distributions/complement.hpp> -#include <utility> - namespace boost{ namespace math { namespace detail { template <class RealType, class Policy> - inline bool check_uniform_lower( + BOOST_MATH_GPU_ENABLED inline bool check_uniform_lower( const char* function, RealType lower, RealType* result, const Policy& pol) @@ -45,7 +46,7 @@ namespace boost{ namespace math } // bool check_uniform_lower( template <class RealType, class Policy> - inline bool check_uniform_upper( + BOOST_MATH_GPU_ENABLED inline bool check_uniform_upper( const char* function, RealType upper, RealType* result, const Policy& pol) @@ -64,7 +65,7 @@ namespace boost{ namespace math } // bool check_uniform_upper( template <class RealType, class Policy> - inline bool check_uniform_x( + BOOST_MATH_GPU_ENABLED inline bool check_uniform_x( const char* function, RealType const& x, RealType* result, const Policy& pol) @@ -83,7 +84,7 @@ namespace boost{ namespace math } // bool check_uniform_x template <class RealType, class Policy> - inline bool check_uniform( + BOOST_MATH_GPU_ENABLED inline bool check_uniform( const char* function, RealType lower, RealType upper, @@ -116,19 +117,19 @@ namespace boost{ namespace math typedef RealType value_type; typedef Policy policy_type; - uniform_distribution(RealType l_lower = 0, RealType l_upper = 1) // Constructor. + BOOST_MATH_GPU_ENABLED uniform_distribution(RealType l_lower = 0, RealType l_upper = 1) // Constructor. : m_lower(l_lower), m_upper(l_upper) // Default is standard uniform distribution. { RealType result; detail::check_uniform("boost::math::uniform_distribution<%1%>::uniform_distribution", l_lower, l_upper, &result, Policy()); } // Accessor functions. - RealType lower()const + BOOST_MATH_GPU_ENABLED RealType lower()const { return m_lower; } - RealType upper()const + BOOST_MATH_GPU_ENABLED RealType upper()const { return m_upper; } @@ -148,23 +149,23 @@ namespace boost{ namespace math #endif template <class RealType, class Policy> - inline const std::pair<RealType, RealType> range(const uniform_distribution<RealType, Policy>& /* dist */) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> range(const uniform_distribution<RealType, Policy>& /* dist */) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + 'infinity'. + return boost::math::pair<RealType, RealType>(-max_value<RealType>(), max_value<RealType>()); // - to + 'infinity'. // Note RealType infinity is NOT permitted, only max_value. } template <class RealType, class Policy> - inline const std::pair<RealType, RealType> support(const uniform_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline const boost::math::pair<RealType, RealType> support(const uniform_distribution<RealType, Policy>& dist) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(dist.lower(), dist.upper()); + return boost::math::pair<RealType, RealType>(dist.lower(), dist.upper()); } template <class RealType, class Policy> - inline RealType pdf(const uniform_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType pdf(const uniform_distribution<RealType, Policy>& dist, const RealType& x) { RealType lower = dist.lower(); RealType upper = dist.upper(); @@ -189,7 +190,7 @@ namespace boost{ namespace math } // RealType pdf(const uniform_distribution<RealType, Policy>& dist, const RealType& x) template <class RealType, class Policy> - inline RealType cdf(const uniform_distribution<RealType, Policy>& dist, const RealType& x) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const uniform_distribution<RealType, Policy>& dist, const RealType& x) { RealType lower = dist.lower(); RealType upper = dist.upper(); @@ -214,7 +215,7 @@ namespace boost{ namespace math } // RealType cdf(const uniform_distribution<RealType, Policy>& dist, const RealType& x) template <class RealType, class Policy> - inline RealType quantile(const uniform_distribution<RealType, Policy>& dist, const RealType& p) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const uniform_distribution<RealType, Policy>& dist, const RealType& p) { RealType lower = dist.lower(); RealType upper = dist.upper(); @@ -239,7 +240,7 @@ namespace boost{ namespace math } // RealType quantile(const uniform_distribution<RealType, Policy>& dist, const RealType& p) template <class RealType, class Policy> - inline RealType cdf(const complemented2_type<uniform_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<uniform_distribution<RealType, Policy>, RealType>& c) { RealType lower = c.dist.lower(); RealType upper = c.dist.upper(); @@ -265,7 +266,7 @@ namespace boost{ namespace math } // RealType cdf(const complemented2_type<uniform_distribution<RealType, Policy>, RealType>& c) template <class RealType, class Policy> - inline RealType quantile(const complemented2_type<uniform_distribution<RealType, Policy>, RealType>& c) + BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<uniform_distribution<RealType, Policy>, RealType>& c) { RealType lower = c.dist.lower(); RealType upper = c.dist.upper(); @@ -291,7 +292,7 @@ namespace boost{ namespace math } // RealType quantile(const complemented2_type<uniform_distribution<RealType, Policy>, RealType>& c) template <class RealType, class Policy> - inline RealType mean(const uniform_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mean(const uniform_distribution<RealType, Policy>& dist) { RealType lower = dist.lower(); RealType upper = dist.upper(); @@ -304,7 +305,7 @@ namespace boost{ namespace math } // RealType mean(const uniform_distribution<RealType, Policy>& dist) template <class RealType, class Policy> - inline RealType variance(const uniform_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType variance(const uniform_distribution<RealType, Policy>& dist) { RealType lower = dist.lower(); RealType upper = dist.upper(); @@ -318,7 +319,7 @@ namespace boost{ namespace math } // RealType variance(const uniform_distribution<RealType, Policy>& dist) template <class RealType, class Policy> - inline RealType mode(const uniform_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType mode(const uniform_distribution<RealType, Policy>& dist) { RealType lower = dist.lower(); RealType upper = dist.upper(); @@ -332,7 +333,7 @@ namespace boost{ namespace math } template <class RealType, class Policy> - inline RealType median(const uniform_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType median(const uniform_distribution<RealType, Policy>& dist) { RealType lower = dist.lower(); RealType upper = dist.upper(); @@ -344,7 +345,7 @@ namespace boost{ namespace math return (lower + upper) / 2; // } template <class RealType, class Policy> - inline RealType skewness(const uniform_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType skewness(const uniform_distribution<RealType, Policy>& dist) { RealType lower = dist.lower(); RealType upper = dist.upper(); @@ -357,7 +358,7 @@ namespace boost{ namespace math } // RealType skewness(const uniform_distribution<RealType, Policy>& dist) template <class RealType, class Policy> - inline RealType kurtosis_excess(const uniform_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const uniform_distribution<RealType, Policy>& dist) { RealType lower = dist.lower(); RealType upper = dist.upper(); @@ -370,15 +371,15 @@ namespace boost{ namespace math } // RealType kurtosis_excess(const uniform_distribution<RealType, Policy>& dist) template <class RealType, class Policy> - inline RealType kurtosis(const uniform_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const uniform_distribution<RealType, Policy>& dist) { return kurtosis_excess(dist) + 3; } template <class RealType, class Policy> - inline RealType entropy(const uniform_distribution<RealType, Policy>& dist) + BOOST_MATH_GPU_ENABLED inline RealType entropy(const uniform_distribution<RealType, Policy>& dist) { - using std::log; + BOOST_MATH_STD_USING return log(dist.upper() - dist.lower()); } diff --git a/contrib/restricted/boost/math/include/boost/math/distributions/weibull.hpp b/contrib/restricted/boost/math/include/boost/math/distributions/weibull.hpp index ca4bbd7b53..eb4de106c8 100644 --- a/contrib/restricted/boost/math/include/boost/math/distributions/weibull.hpp +++ b/contrib/restricted/boost/math/include/boost/math/distributions/weibull.hpp @@ -1,4 +1,5 @@ // Copyright John Maddock 2006. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -9,6 +10,10 @@ // http://www.itl.nist.gov/div898/handbook/eda/section3/eda3668.htm // http://mathworld.wolfram.com/WeibullDistribution.html +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/cstdint.hpp> #include <boost/math/distributions/fwd.hpp> #include <boost/math/special_functions/gamma.hpp> #include <boost/math/special_functions/log1p.hpp> @@ -16,14 +21,12 @@ #include <boost/math/distributions/detail/common_error_handling.hpp> #include <boost/math/distributions/complement.hpp> -#include <utility> - namespace boost{ namespace math { namespace detail{ template <class RealType, class Policy> -inline bool check_weibull_shape( +BOOST_MATH_GPU_ENABLED inline bool check_weibull_shape( const char* function, RealType shape, RealType* result, const Policy& pol) @@ -39,7 +42,7 @@ inline bool check_weibull_shape( } template <class RealType, class Policy> -inline bool check_weibull_x( +BOOST_MATH_GPU_ENABLED inline bool check_weibull_x( const char* function, RealType const& x, RealType* result, const Policy& pol) @@ -55,7 +58,7 @@ inline bool check_weibull_x( } template <class RealType, class Policy> -inline bool check_weibull( +BOOST_MATH_GPU_ENABLED inline bool check_weibull( const char* function, RealType scale, RealType shape, @@ -73,19 +76,19 @@ public: using value_type = RealType; using policy_type = Policy; - explicit weibull_distribution(RealType l_shape, RealType l_scale = 1) + BOOST_MATH_GPU_ENABLED explicit weibull_distribution(RealType l_shape, RealType l_scale = 1) : m_shape(l_shape), m_scale(l_scale) { RealType result; detail::check_weibull("boost::math::weibull_distribution<%1%>::weibull_distribution", l_scale, l_shape, &result, Policy()); } - RealType shape()const + BOOST_MATH_GPU_ENABLED RealType shape()const { return m_shape; } - RealType scale()const + BOOST_MATH_GPU_ENABLED RealType scale()const { return m_scale; } @@ -107,28 +110,28 @@ weibull_distribution(RealType,RealType)->weibull_distribution<typename boost::ma #endif template <class RealType, class Policy> -inline std::pair<RealType, RealType> range(const weibull_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> range(const weibull_distribution<RealType, Policy>& /*dist*/) { // Range of permissible values for random variable x. using boost::math::tools::max_value; - return std::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(static_cast<RealType>(0), max_value<RealType>()); } template <class RealType, class Policy> -inline std::pair<RealType, RealType> support(const weibull_distribution<RealType, Policy>& /*dist*/) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<RealType, RealType> support(const weibull_distribution<RealType, Policy>& /*dist*/) { // Range of supported values for random variable x. // This is range where cdf rises from 0 to 1, and outside it, the pdf is zero. using boost::math::tools::max_value; using boost::math::tools::min_value; - return std::pair<RealType, RealType>(min_value<RealType>(), max_value<RealType>()); + return boost::math::pair<RealType, RealType>(min_value<RealType>(), max_value<RealType>()); // A discontinuity at x == 0, so only support down to min_value. } template <class RealType, class Policy> -inline RealType pdf(const weibull_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType pdf(const weibull_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::pdf(const weibull_distribution<%1%>, %1%)"; + constexpr auto function = "boost::math::pdf(const weibull_distribution<%1%>, %1%)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -158,11 +161,11 @@ inline RealType pdf(const weibull_distribution<RealType, Policy>& dist, const Re } template <class RealType, class Policy> -inline RealType logpdf(const weibull_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logpdf(const weibull_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::logpdf(const weibull_distribution<%1%>, %1%)"; + constexpr auto function = "boost::math::logpdf(const weibull_distribution<%1%>, %1%)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -192,11 +195,11 @@ inline RealType logpdf(const weibull_distribution<RealType, Policy>& dist, const } template <class RealType, class Policy> -inline RealType cdf(const weibull_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const weibull_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(const weibull_distribution<%1%>, %1%)"; + constexpr auto function = "boost::math::cdf(const weibull_distribution<%1%>, %1%)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -213,11 +216,11 @@ inline RealType cdf(const weibull_distribution<RealType, Policy>& dist, const Re } template <class RealType, class Policy> -inline RealType logcdf(const weibull_distribution<RealType, Policy>& dist, const RealType& x) +BOOST_MATH_GPU_ENABLED inline RealType logcdf(const weibull_distribution<RealType, Policy>& dist, const RealType& x) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::logcdf(const weibull_distribution<%1%>, %1%)"; + constexpr auto function = "boost::math::logcdf(const weibull_distribution<%1%>, %1%)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -234,11 +237,11 @@ inline RealType logcdf(const weibull_distribution<RealType, Policy>& dist, const } template <class RealType, class Policy> -inline RealType quantile(const weibull_distribution<RealType, Policy>& dist, const RealType& p) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const weibull_distribution<RealType, Policy>& dist, const RealType& p) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const weibull_distribution<%1%>, %1%)"; + constexpr auto function = "boost::math::quantile(const weibull_distribution<%1%>, %1%)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -258,11 +261,11 @@ inline RealType quantile(const weibull_distribution<RealType, Policy>& dist, con } template <class RealType, class Policy> -inline RealType cdf(const complemented2_type<weibull_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType cdf(const complemented2_type<weibull_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::cdf(const weibull_distribution<%1%>, %1%)"; + constexpr auto function = "boost::math::cdf(const weibull_distribution<%1%>, %1%)"; RealType shape = c.dist.shape(); RealType scale = c.dist.scale(); @@ -279,11 +282,11 @@ inline RealType cdf(const complemented2_type<weibull_distribution<RealType, Poli } template <class RealType, class Policy> -inline RealType logcdf(const complemented2_type<weibull_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType logcdf(const complemented2_type<weibull_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::logcdf(const weibull_distribution<%1%>, %1%)"; + constexpr auto function = "boost::math::logcdf(const weibull_distribution<%1%>, %1%)"; RealType shape = c.dist.shape(); RealType scale = c.dist.scale(); @@ -300,11 +303,11 @@ inline RealType logcdf(const complemented2_type<weibull_distribution<RealType, P } template <class RealType, class Policy> -inline RealType quantile(const complemented2_type<weibull_distribution<RealType, Policy>, RealType>& c) +BOOST_MATH_GPU_ENABLED inline RealType quantile(const complemented2_type<weibull_distribution<RealType, Policy>, RealType>& c) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::quantile(const weibull_distribution<%1%>, %1%)"; + constexpr auto function = "boost::math::quantile(const weibull_distribution<%1%>, %1%)"; RealType shape = c.dist.shape(); RealType scale = c.dist.scale(); @@ -325,11 +328,11 @@ inline RealType quantile(const complemented2_type<weibull_distribution<RealType, } template <class RealType, class Policy> -inline RealType mean(const weibull_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mean(const weibull_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::mean(const weibull_distribution<%1%>)"; + constexpr auto function = "boost::math::mean(const weibull_distribution<%1%>)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -343,12 +346,12 @@ inline RealType mean(const weibull_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType variance(const weibull_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType variance(const weibull_distribution<RealType, Policy>& dist) { RealType shape = dist.shape(); RealType scale = dist.scale(); - static const char* function = "boost::math::variance(const weibull_distribution<%1%>)"; + constexpr auto function = "boost::math::variance(const weibull_distribution<%1%>)"; RealType result = 0; if(false == detail::check_weibull(function, scale, shape, &result, Policy())) @@ -363,11 +366,11 @@ inline RealType variance(const weibull_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType mode(const weibull_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType mode(const weibull_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std function pow. - static const char* function = "boost::math::mode(const weibull_distribution<%1%>)"; + constexpr auto function = "boost::math::mode(const weibull_distribution<%1%>)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -384,11 +387,11 @@ inline RealType mode(const weibull_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType median(const weibull_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType median(const weibull_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std function pow. - static const char* function = "boost::math::median(const weibull_distribution<%1%>)"; + constexpr auto function = "boost::math::median(const weibull_distribution<%1%>)"; RealType shape = dist.shape(); // Wikipedia k RealType scale = dist.scale(); // Wikipedia lambda @@ -404,11 +407,11 @@ inline RealType median(const weibull_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType skewness(const weibull_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType skewness(const weibull_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::skewness(const weibull_distribution<%1%>)"; + constexpr auto function = "boost::math::skewness(const weibull_distribution<%1%>)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -429,11 +432,11 @@ inline RealType skewness(const weibull_distribution<RealType, Policy>& dist) } template <class RealType, class Policy> -inline RealType kurtosis_excess(const weibull_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis_excess(const weibull_distribution<RealType, Policy>& dist) { BOOST_MATH_STD_USING // for ADL of std functions - static const char* function = "boost::math::kurtosis_excess(const weibull_distribution<%1%>)"; + constexpr auto function = "boost::math::kurtosis_excess(const weibull_distribution<%1%>)"; RealType shape = dist.shape(); RealType scale = dist.scale(); @@ -457,15 +460,15 @@ inline RealType kurtosis_excess(const weibull_distribution<RealType, Policy>& di } template <class RealType, class Policy> -inline RealType kurtosis(const weibull_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType kurtosis(const weibull_distribution<RealType, Policy>& dist) { return kurtosis_excess(dist) + 3; } template <class RealType, class Policy> -inline RealType entropy(const weibull_distribution<RealType, Policy>& dist) +BOOST_MATH_GPU_ENABLED inline RealType entropy(const weibull_distribution<RealType, Policy>& dist) { - using std::log; + BOOST_MATH_STD_USING RealType k = dist.shape(); RealType lambda = dist.scale(); return constants::euler<RealType>()*(1-1/k) + log(lambda/k) + 1; diff --git a/contrib/restricted/boost/math/include/boost/math/policies/error_handling.hpp b/contrib/restricted/boost/math/include/boost/math/policies/error_handling.hpp index 070266c7fe..0a22dffa7f 100644 --- a/contrib/restricted/boost/math/include/boost/math/policies/error_handling.hpp +++ b/contrib/restricted/boost/math/include/boost/math/policies/error_handling.hpp @@ -1,6 +1,6 @@ // Copyright John Maddock 2007. // Copyright Paul A. Bristow 2007. - +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -9,6 +9,15 @@ #define BOOST_MATH_POLICY_ERROR_HANDLING_HPP #include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/policies/policy.hpp> +#include <boost/math/tools/precision.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <iomanip> #include <string> #include <cstring> @@ -19,8 +28,6 @@ #include <complex> #include <cmath> #include <cstdint> -#include <boost/math/policies/policy.hpp> -#include <boost/math/tools/precision.hpp> #ifndef BOOST_MATH_NO_EXCEPTIONS #include <stdexcept> #include <boost/math/tools/throw_exception.hpp> @@ -199,7 +206,7 @@ void raise_error(const char* pfunction, const char* pmessage, const T& val) #endif template <class T> -inline T raise_domain_error( +BOOST_MATH_GPU_ENABLED inline T raise_domain_error( const char* function, const char* message, const T& val, @@ -210,12 +217,12 @@ inline T raise_domain_error( #else raise_error<std::domain_error, T>(function, message, val); // we never get here: - return std::numeric_limits<T>::quiet_NaN(); + return boost::math::numeric_limits<T>::quiet_NaN(); #endif } template <class T> -inline constexpr T raise_domain_error( +BOOST_MATH_GPU_ENABLED constexpr T raise_domain_error( const char* , const char* , const T& , @@ -223,11 +230,11 @@ inline constexpr T raise_domain_error( { // This may or may not do the right thing, but the user asked for the error // to be ignored so here we go anyway: - return std::numeric_limits<T>::quiet_NaN(); + return boost::math::numeric_limits<T>::quiet_NaN(); } template <class T> -inline T raise_domain_error( +BOOST_MATH_GPU_ENABLED inline T raise_domain_error( const char* , const char* , const T& , @@ -236,11 +243,11 @@ inline T raise_domain_error( errno = EDOM; // This may or may not do the right thing, but the user asked for the error // to be silent so here we go anyway: - return std::numeric_limits<T>::quiet_NaN(); + return boost::math::numeric_limits<T>::quiet_NaN(); } template <class T> -inline T raise_domain_error( +BOOST_MATH_GPU_ENABLED inline T raise_domain_error( const char* function, const char* message, const T& val, @@ -250,7 +257,7 @@ inline T raise_domain_error( } template <class T> -inline T raise_pole_error( +BOOST_MATH_GPU_ENABLED inline T raise_pole_error( const char* function, const char* message, const T& val, @@ -264,7 +271,7 @@ inline T raise_pole_error( } template <class T> -inline constexpr T raise_pole_error( +BOOST_MATH_GPU_ENABLED constexpr T raise_pole_error( const char* function, const char* message, const T& val, @@ -274,7 +281,7 @@ inline constexpr T raise_pole_error( } template <class T> -inline constexpr T raise_pole_error( +BOOST_MATH_GPU_ENABLED constexpr T raise_pole_error( const char* function, const char* message, const T& val, @@ -284,7 +291,7 @@ inline constexpr T raise_pole_error( } template <class T> -inline T raise_pole_error( +BOOST_MATH_GPU_ENABLED inline T raise_pole_error( const char* function, const char* message, const T& val, @@ -294,7 +301,7 @@ inline T raise_pole_error( } template <class T> -inline T raise_overflow_error( +BOOST_MATH_GPU_ENABLED inline T raise_overflow_error( const char* function, const char* message, const ::boost::math::policies::overflow_error< ::boost::math::policies::throw_on_error>&) @@ -304,12 +311,12 @@ inline T raise_overflow_error( #else raise_error<std::overflow_error, T>(function, message ? message : "numeric overflow"); // We should never get here: - return std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>(); + return boost::math::numeric_limits<T>::has_infinity ? boost::math::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>(); #endif } template <class T> -inline T raise_overflow_error( +BOOST_MATH_GPU_ENABLED inline T raise_overflow_error( const char* function, const char* message, const T& val, @@ -320,23 +327,23 @@ inline T raise_overflow_error( #else raise_error<std::overflow_error, T>(function, message ? message : "numeric overflow", val); // We should never get here: - return std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>(); + return boost::math::numeric_limits<T>::has_infinity ? boost::math::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>(); #endif } template <class T> -inline constexpr T raise_overflow_error( +BOOST_MATH_GPU_ENABLED constexpr T raise_overflow_error( const char* , const char* , const ::boost::math::policies::overflow_error< ::boost::math::policies::ignore_error>&) BOOST_MATH_NOEXCEPT(T) { // This may or may not do the right thing, but the user asked for the error // to be ignored so here we go anyway: - return std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>(); + return boost::math::numeric_limits<T>::has_infinity ? boost::math::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>(); } template <class T> -inline constexpr T raise_overflow_error( +BOOST_MATH_GPU_ENABLED constexpr T raise_overflow_error( const char* , const char* , const T&, @@ -344,11 +351,11 @@ inline constexpr T raise_overflow_error( { // This may or may not do the right thing, but the user asked for the error // to be ignored so here we go anyway: - return std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>(); + return boost::math::numeric_limits<T>::has_infinity ? boost::math::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>(); } template <class T> -inline T raise_overflow_error( +BOOST_MATH_GPU_ENABLED inline T raise_overflow_error( const char* , const char* , const ::boost::math::policies::overflow_error< ::boost::math::policies::errno_on_error>&) BOOST_MATH_NOEXCEPT(T) @@ -356,11 +363,11 @@ inline T raise_overflow_error( errno = ERANGE; // This may or may not do the right thing, but the user asked for the error // to be silent so here we go anyway: - return std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>(); + return boost::math::numeric_limits<T>::has_infinity ? boost::math::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>(); } template <class T> -inline T raise_overflow_error( +BOOST_MATH_GPU_ENABLED inline T raise_overflow_error( const char* , const char* , const T&, @@ -369,20 +376,20 @@ inline T raise_overflow_error( errno = ERANGE; // This may or may not do the right thing, but the user asked for the error // to be silent so here we go anyway: - return std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>(); + return boost::math::numeric_limits<T>::has_infinity ? boost::math::numeric_limits<T>::infinity() : boost::math::tools::max_value<T>(); } template <class T> -inline T raise_overflow_error( +BOOST_MATH_GPU_ENABLED inline T raise_overflow_error( const char* function, const char* message, const ::boost::math::policies::overflow_error< ::boost::math::policies::user_error>&) { - return user_overflow_error(function, message, std::numeric_limits<T>::infinity()); + return user_overflow_error(function, message, boost::math::numeric_limits<T>::infinity()); } template <class T> -inline T raise_overflow_error( +BOOST_MATH_GPU_ENABLED inline T raise_overflow_error( const char* function, const char* message, const T& val, @@ -392,11 +399,11 @@ inline T raise_overflow_error( std::string sval = prec_format(val); replace_all_in_string(m, "%1%", sval.c_str()); - return user_overflow_error(function, m.c_str(), std::numeric_limits<T>::infinity()); + return user_overflow_error(function, m.c_str(), boost::math::numeric_limits<T>::infinity()); } template <class T> -inline T raise_underflow_error( +BOOST_MATH_GPU_ENABLED inline T raise_underflow_error( const char* function, const char* message, const ::boost::math::policies::underflow_error< ::boost::math::policies::throw_on_error>&) @@ -411,7 +418,7 @@ inline T raise_underflow_error( } template <class T> -inline constexpr T raise_underflow_error( +BOOST_MATH_GPU_ENABLED constexpr T raise_underflow_error( const char* , const char* , const ::boost::math::policies::underflow_error< ::boost::math::policies::ignore_error>&) BOOST_MATH_NOEXCEPT(T) @@ -422,7 +429,7 @@ inline constexpr T raise_underflow_error( } template <class T> -inline T raise_underflow_error( +BOOST_MATH_GPU_ENABLED inline T raise_underflow_error( const char* /* function */, const char* /* message */, const ::boost::math::policies::underflow_error< ::boost::math::policies::errno_on_error>&) BOOST_MATH_NOEXCEPT(T) @@ -434,7 +441,7 @@ inline T raise_underflow_error( } template <class T> -inline T raise_underflow_error( +BOOST_MATH_GPU_ENABLED inline T raise_underflow_error( const char* function, const char* message, const ::boost::math::policies::underflow_error< ::boost::math::policies::user_error>&) @@ -443,7 +450,7 @@ inline T raise_underflow_error( } template <class T> -inline T raise_denorm_error( +BOOST_MATH_GPU_ENABLED inline T raise_denorm_error( const char* function, const char* message, const T& /* val */, @@ -459,7 +466,7 @@ inline T raise_denorm_error( } template <class T> -inline constexpr T raise_denorm_error( +BOOST_MATH_GPU_ENABLED inline constexpr T raise_denorm_error( const char* , const char* , const T& val, @@ -471,7 +478,7 @@ inline constexpr T raise_denorm_error( } template <class T> -inline T raise_denorm_error( +BOOST_MATH_GPU_ENABLED inline T raise_denorm_error( const char* , const char* , const T& val, @@ -484,7 +491,7 @@ inline T raise_denorm_error( } template <class T> -inline T raise_denorm_error( +BOOST_MATH_GPU_ENABLED inline T raise_denorm_error( const char* function, const char* message, const T& val, @@ -494,7 +501,7 @@ inline T raise_denorm_error( } template <class T> -inline T raise_evaluation_error( +BOOST_MATH_GPU_ENABLED inline T raise_evaluation_error( const char* function, const char* message, const T& val, @@ -510,7 +517,7 @@ inline T raise_evaluation_error( } template <class T> -inline constexpr T raise_evaluation_error( +BOOST_MATH_GPU_ENABLED constexpr T raise_evaluation_error( const char* , const char* , const T& val, @@ -522,7 +529,7 @@ inline constexpr T raise_evaluation_error( } template <class T> -inline T raise_evaluation_error( +BOOST_MATH_GPU_ENABLED inline T raise_evaluation_error( const char* , const char* , const T& val, @@ -535,7 +542,7 @@ inline T raise_evaluation_error( } template <class T> -inline T raise_evaluation_error( +BOOST_MATH_GPU_ENABLED inline T raise_evaluation_error( const char* function, const char* message, const T& val, @@ -545,7 +552,7 @@ inline T raise_evaluation_error( } template <class T, class TargetType> -inline TargetType raise_rounding_error( +BOOST_MATH_GPU_ENABLED inline TargetType raise_rounding_error( const char* function, const char* message, const T& val, @@ -562,7 +569,7 @@ inline TargetType raise_rounding_error( } template <class T, class TargetType> -inline constexpr TargetType raise_rounding_error( +BOOST_MATH_GPU_ENABLED constexpr TargetType raise_rounding_error( const char* , const char* , const T& val, @@ -571,12 +578,12 @@ inline constexpr TargetType raise_rounding_error( { // This may or may not do the right thing, but the user asked for the error // to be ignored so here we go anyway: - static_assert(std::numeric_limits<TargetType>::is_specialized, "The target type must have std::numeric_limits specialized."); - return val > 0 ? (std::numeric_limits<TargetType>::max)() : (std::numeric_limits<TargetType>::is_integer ? (std::numeric_limits<TargetType>::min)() : -(std::numeric_limits<TargetType>::max)()); + static_assert(boost::math::numeric_limits<TargetType>::is_specialized, "The target type must have std::numeric_limits specialized."); + return val > 0 ? (boost::math::numeric_limits<TargetType>::max)() : (boost::math::numeric_limits<TargetType>::is_integer ? (boost::math::numeric_limits<TargetType>::min)() : -(boost::math::numeric_limits<TargetType>::max)()); } template <class T, class TargetType> -inline TargetType raise_rounding_error( +BOOST_MATH_GPU_ENABLED inline TargetType raise_rounding_error( const char* , const char* , const T& val, @@ -586,11 +593,11 @@ inline TargetType raise_rounding_error( errno = ERANGE; // This may or may not do the right thing, but the user asked for the error // to be silent so here we go anyway: - static_assert(std::numeric_limits<TargetType>::is_specialized, "The target type must have std::numeric_limits specialized."); - return val > 0 ? (std::numeric_limits<TargetType>::max)() : (std::numeric_limits<TargetType>::is_integer ? (std::numeric_limits<TargetType>::min)() : -(std::numeric_limits<TargetType>::max)()); + static_assert(boost::math::numeric_limits<TargetType>::is_specialized, "The target type must have std::numeric_limits specialized."); + return val > 0 ? (boost::math::numeric_limits<TargetType>::max)() : (boost::math::numeric_limits<TargetType>::is_integer ? (boost::math::numeric_limits<TargetType>::min)() : -(boost::math::numeric_limits<TargetType>::max)()); } template <class T, class TargetType> -inline TargetType raise_rounding_error( +BOOST_MATH_GPU_ENABLED inline TargetType raise_rounding_error( const char* function, const char* message, const T& val, @@ -601,7 +608,7 @@ inline TargetType raise_rounding_error( } template <class T, class R> -inline T raise_indeterminate_result_error( +BOOST_MATH_GPU_ENABLED inline T raise_indeterminate_result_error( const char* function, const char* message, const T& val, @@ -613,12 +620,12 @@ inline T raise_indeterminate_result_error( #else raise_error<std::domain_error, T>(function, message, val); // we never get here: - return std::numeric_limits<T>::quiet_NaN(); + return boost::math::numeric_limits<T>::quiet_NaN(); #endif } template <class T, class R> -inline constexpr T raise_indeterminate_result_error( +BOOST_MATH_GPU_ENABLED inline constexpr T raise_indeterminate_result_error( const char* , const char* , const T& , @@ -631,7 +638,7 @@ inline constexpr T raise_indeterminate_result_error( } template <class T, class R> -inline T raise_indeterminate_result_error( +BOOST_MATH_GPU_ENABLED inline T raise_indeterminate_result_error( const char* , const char* , const T& , @@ -645,7 +652,7 @@ inline T raise_indeterminate_result_error( } template <class T, class R> -inline T raise_indeterminate_result_error( +BOOST_MATH_GPU_ENABLED inline T raise_indeterminate_result_error( const char* function, const char* message, const T& val, @@ -658,7 +665,7 @@ inline T raise_indeterminate_result_error( } // namespace detail template <class T, class Policy> -inline constexpr T raise_domain_error(const char* function, const char* message, const T& val, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED constexpr T raise_domain_error(const char* function, const char* message, const T& val, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) { typedef typename Policy::domain_error_type policy_type; return detail::raise_domain_error( @@ -667,7 +674,7 @@ inline constexpr T raise_domain_error(const char* function, const char* message, } template <class T, class Policy> -inline constexpr T raise_pole_error(const char* function, const char* message, const T& val, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED constexpr T raise_pole_error(const char* function, const char* message, const T& val, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) { typedef typename Policy::pole_error_type policy_type; return detail::raise_pole_error( @@ -676,7 +683,7 @@ inline constexpr T raise_pole_error(const char* function, const char* message, c } template <class T, class Policy> -inline constexpr T raise_overflow_error(const char* function, const char* message, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED constexpr T raise_overflow_error(const char* function, const char* message, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) { typedef typename Policy::overflow_error_type policy_type; return detail::raise_overflow_error<T>( @@ -685,7 +692,7 @@ inline constexpr T raise_overflow_error(const char* function, const char* messag } template <class T, class Policy> -inline constexpr T raise_overflow_error(const char* function, const char* message, const T& val, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED constexpr T raise_overflow_error(const char* function, const char* message, const T& val, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) { typedef typename Policy::overflow_error_type policy_type; return detail::raise_overflow_error( @@ -694,7 +701,7 @@ inline constexpr T raise_overflow_error(const char* function, const char* messag } template <class T, class Policy> -inline constexpr T raise_underflow_error(const char* function, const char* message, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED constexpr T raise_underflow_error(const char* function, const char* message, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) { typedef typename Policy::underflow_error_type policy_type; return detail::raise_underflow_error<T>( @@ -703,7 +710,7 @@ inline constexpr T raise_underflow_error(const char* function, const char* messa } template <class T, class Policy> -inline constexpr T raise_denorm_error(const char* function, const char* message, const T& val, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED constexpr T raise_denorm_error(const char* function, const char* message, const T& val, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) { typedef typename Policy::denorm_error_type policy_type; return detail::raise_denorm_error<T>( @@ -713,7 +720,7 @@ inline constexpr T raise_denorm_error(const char* function, const char* message, } template <class T, class Policy> -inline constexpr T raise_evaluation_error(const char* function, const char* message, const T& val, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED constexpr T raise_evaluation_error(const char* function, const char* message, const T& val, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) { typedef typename Policy::evaluation_error_type policy_type; return detail::raise_evaluation_error( @@ -722,7 +729,7 @@ inline constexpr T raise_evaluation_error(const char* function, const char* mess } template <class T, class TargetType, class Policy> -inline constexpr TargetType raise_rounding_error(const char* function, const char* message, const T& val, const TargetType& t, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED constexpr TargetType raise_rounding_error(const char* function, const char* message, const T& val, const TargetType& t, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) { typedef typename Policy::rounding_error_type policy_type; return detail::raise_rounding_error( @@ -731,7 +738,7 @@ inline constexpr TargetType raise_rounding_error(const char* function, const cha } template <class T, class R, class Policy> -inline constexpr T raise_indeterminate_result_error(const char* function, const char* message, const T& val, const R& result, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED constexpr T raise_indeterminate_result_error(const char* function, const char* message, const T& val, const R& result, const Policy&) noexcept(is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T)) { typedef typename Policy::indeterminate_result_error_type policy_type; return detail::raise_indeterminate_result_error( @@ -746,7 +753,7 @@ namespace detail { template <class R, class T, class Policy> -BOOST_MATH_FORCEINLINE bool check_overflow(T val, R* result, const char* function, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && (Policy::value != throw_on_error) && (Policy::value != user_error)) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE bool check_overflow(T val, R* result, const char* function, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && (Policy::value != throw_on_error) && (Policy::value != user_error)) { BOOST_MATH_STD_USING if(fabs(val) > tools::max_value<R>()) @@ -758,7 +765,7 @@ BOOST_MATH_FORCEINLINE bool check_overflow(T val, R* result, const char* functio return false; } template <class R, class T, class Policy> -BOOST_MATH_FORCEINLINE bool check_overflow(std::complex<T> val, R* result, const char* function, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && (Policy::value != throw_on_error) && (Policy::value != user_error)) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE bool check_overflow(std::complex<T> val, R* result, const char* function, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && (Policy::value != throw_on_error) && (Policy::value != user_error)) { typedef typename R::value_type r_type; r_type re, im; @@ -768,7 +775,7 @@ BOOST_MATH_FORCEINLINE bool check_overflow(std::complex<T> val, R* result, const return r; } template <class R, class T, class Policy> -BOOST_MATH_FORCEINLINE bool check_underflow(T val, R* result, const char* function, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && (Policy::value != throw_on_error) && (Policy::value != user_error)) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE bool check_underflow(T val, R* result, const char* function, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && (Policy::value != throw_on_error) && (Policy::value != user_error)) { if((val != 0) && (static_cast<R>(val) == 0)) { @@ -778,7 +785,7 @@ BOOST_MATH_FORCEINLINE bool check_underflow(T val, R* result, const char* functi return false; } template <class R, class T, class Policy> -BOOST_MATH_FORCEINLINE bool check_underflow(std::complex<T> val, R* result, const char* function, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && (Policy::value != throw_on_error) && (Policy::value != user_error)) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE bool check_underflow(std::complex<T> val, R* result, const char* function, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && (Policy::value != throw_on_error) && (Policy::value != user_error)) { typedef typename R::value_type r_type; r_type re, im; @@ -788,7 +795,7 @@ BOOST_MATH_FORCEINLINE bool check_underflow(std::complex<T> val, R* result, cons return r; } template <class R, class T, class Policy> -BOOST_MATH_FORCEINLINE bool check_denorm(T val, R* result, const char* function, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && (Policy::value != throw_on_error) && (Policy::value != user_error)) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE bool check_denorm(T val, R* result, const char* function, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && (Policy::value != throw_on_error) && (Policy::value != user_error)) { BOOST_MATH_STD_USING if((fabs(val) < static_cast<T>(tools::min_value<R>())) && (static_cast<R>(val) != 0)) @@ -799,7 +806,7 @@ BOOST_MATH_FORCEINLINE bool check_denorm(T val, R* result, const char* function, return false; } template <class R, class T, class Policy> -BOOST_MATH_FORCEINLINE bool check_denorm(std::complex<T> val, R* result, const char* function, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && (Policy::value != throw_on_error) && (Policy::value != user_error)) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE bool check_denorm(std::complex<T> val, R* result, const char* function, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && (Policy::value != throw_on_error) && (Policy::value != user_error)) { typedef typename R::value_type r_type; r_type re, im; @@ -811,28 +818,28 @@ BOOST_MATH_FORCEINLINE bool check_denorm(std::complex<T> val, R* result, const c // Default instantiations with ignore_error policy. template <class R, class T> -BOOST_MATH_FORCEINLINE constexpr bool check_overflow(T /* val */, R* /* result */, const char* /* function */, const overflow_error<ignore_error>&) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE constexpr bool check_overflow(T /* val */, R* /* result */, const char* /* function */, const overflow_error<ignore_error>&) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T)) { return false; } template <class R, class T> -BOOST_MATH_FORCEINLINE constexpr bool check_overflow(std::complex<T> /* val */, R* /* result */, const char* /* function */, const overflow_error<ignore_error>&) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE constexpr bool check_overflow(std::complex<T> /* val */, R* /* result */, const char* /* function */, const overflow_error<ignore_error>&) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T)) { return false; } template <class R, class T> -BOOST_MATH_FORCEINLINE constexpr bool check_underflow(T /* val */, R* /* result */, const char* /* function */, const underflow_error<ignore_error>&) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE constexpr bool check_underflow(T /* val */, R* /* result */, const char* /* function */, const underflow_error<ignore_error>&) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T)) { return false; } template <class R, class T> -BOOST_MATH_FORCEINLINE constexpr bool check_underflow(std::complex<T> /* val */, R* /* result */, const char* /* function */, const underflow_error<ignore_error>&) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE constexpr bool check_underflow(std::complex<T> /* val */, R* /* result */, const char* /* function */, const underflow_error<ignore_error>&) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T)) { return false; } template <class R, class T> -BOOST_MATH_FORCEINLINE constexpr bool check_denorm(T /* val */, R* /* result*/, const char* /* function */, const denorm_error<ignore_error>&) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE constexpr bool check_denorm(T /* val */, R* /* result*/, const char* /* function */, const denorm_error<ignore_error>&) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T)) { return false; } template <class R, class T> -BOOST_MATH_FORCEINLINE constexpr bool check_denorm(std::complex<T> /* val */, R* /* result*/, const char* /* function */, const denorm_error<ignore_error>&) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T)) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE constexpr bool check_denorm(std::complex<T> /* val */, R* /* result*/, const char* /* function */, const denorm_error<ignore_error>&) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T)) { return false; } } // namespace detail template <class R, class Policy, class T> -BOOST_MATH_FORCEINLINE R checked_narrowing_cast(T val, const char* function) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && is_noexcept_error_policy<Policy>::value) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE R checked_narrowing_cast(T val, const char* function) noexcept(BOOST_MATH_IS_FLOAT(R) && BOOST_MATH_IS_FLOAT(T) && is_noexcept_error_policy<Policy>::value) { typedef typename Policy::overflow_error_type overflow_type; typedef typename Policy::underflow_error_type underflow_type; @@ -852,7 +859,7 @@ BOOST_MATH_FORCEINLINE R checked_narrowing_cast(T val, const char* function) noe } template <class T, class Policy> -inline void check_series_iterations(const char* function, std::uintmax_t max_iter, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(T) && is_noexcept_error_policy<Policy>::value) +BOOST_MATH_GPU_ENABLED inline void check_series_iterations(const char* function, std::uintmax_t max_iter, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(T) && is_noexcept_error_policy<Policy>::value) { if(max_iter >= policies::get_max_series_iterations<Policy>()) raise_evaluation_error<T>( @@ -861,7 +868,7 @@ inline void check_series_iterations(const char* function, std::uintmax_t max_ite } template <class T, class Policy> -inline void check_root_iterations(const char* function, std::uintmax_t max_iter, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(T) && is_noexcept_error_policy<Policy>::value) +BOOST_MATH_GPU_ENABLED inline void check_root_iterations(const char* function, std::uintmax_t max_iter, const Policy& pol) noexcept(BOOST_MATH_IS_FLOAT(T) && is_noexcept_error_policy<Policy>::value) { if(max_iter >= policies::get_max_root_iterations<Policy>()) raise_evaluation_error<T>( @@ -871,25 +878,169 @@ inline void check_root_iterations(const char* function, std::uintmax_t max_iter, } //namespace policies -namespace detail{ +#ifdef _MSC_VER +# pragma warning(pop) +#endif + +}} // namespaces boost/math + +#else // Special values for NVRTC + +namespace boost { +namespace math { +namespace policies { + +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED constexpr T raise_domain_error( + const char* , + const char* , + const T& , + const Policy&) BOOST_MATH_NOEXCEPT(T) +{ + // This may or may not do the right thing, but the user asked for the error + // to be ignored so here we go anyway: + return boost::math::numeric_limits<T>::quiet_NaN(); +} + +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED constexpr T raise_pole_error( + const char* function, + const char* message, + const T& val, + const Policy&) BOOST_MATH_NOEXCEPT(T) +{ + return boost::math::numeric_limits<T>::quiet_NaN(); +} + +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED constexpr T raise_overflow_error( + const char* , + const char* , + const Policy&) BOOST_MATH_NOEXCEPT(T) +{ + // This may or may not do the right thing, but the user asked for the error + // to be ignored so here we go anyway: + return boost::math::numeric_limits<T>::has_infinity ? boost::math::numeric_limits<T>::infinity() : (boost::math::numeric_limits<T>::max)(); +} + +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED constexpr T raise_overflow_error( + const char* , + const char* , + const T&, + const Policy&) BOOST_MATH_NOEXCEPT(T) +{ + // This may or may not do the right thing, but the user asked for the error + // to be ignored so here we go anyway: + return boost::math::numeric_limits<T>::has_infinity ? boost::math::numeric_limits<T>::infinity() : (boost::math::numeric_limits<T>::max)(); +} + +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED constexpr T raise_underflow_error( + const char* , + const char* , + const Policy&) BOOST_MATH_NOEXCEPT(T) +{ + // This may or may not do the right thing, but the user asked for the error + // to be ignored so here we go anyway: + return static_cast<T>(0); +} + +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED inline constexpr T raise_denorm_error( + const char* , + const char* , + const T& val, + const Policy&) BOOST_MATH_NOEXCEPT(T) +{ + // This may or may not do the right thing, but the user asked for the error + // to be ignored so here we go anyway: + return val; +} + +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED constexpr T raise_evaluation_error( + const char* , + const char* , + const T& val, + const Policy&) BOOST_MATH_NOEXCEPT(T) +{ + // This may or may not do the right thing, but the user asked for the error + // to be ignored so here we go anyway: + return val; +} + +template <class T, class TargetType, class Policy> +BOOST_MATH_GPU_ENABLED constexpr TargetType raise_rounding_error( + const char* , + const char* , + const T& val, + const TargetType&, + const Policy&) BOOST_MATH_NOEXCEPT(T) +{ + // This may or may not do the right thing, but the user asked for the error + // to be ignored so here we go anyway: + static_assert(boost::math::numeric_limits<TargetType>::is_specialized, "The target type must have std::numeric_limits specialized."); + return val > 0 ? (boost::math::numeric_limits<TargetType>::max)() : (boost::math::numeric_limits<TargetType>::is_integer ? (boost::math::numeric_limits<TargetType>::min)() : -(boost::math::numeric_limits<TargetType>::max)()); +} + +template <class T, class R, class Policy> +BOOST_MATH_GPU_ENABLED inline constexpr T raise_indeterminate_result_error( + const char* , + const char* , + const T& , + const R& result, + const Policy&) BOOST_MATH_NOEXCEPT(T) +{ + // This may or may not do the right thing, but the user asked for the error + // to be ignored so here we go anyway: + return result; +} + +template <class R, class Policy, class T> +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE R checked_narrowing_cast(T val, const char* function) noexcept(boost::math::is_floating_point_v<R> && boost::math::is_floating_point_v<T>) +{ + // We only have ignore error policy so no reason to check + return static_cast<R>(val); +} + +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED inline void check_series_iterations(const char* function, boost::math::uintmax_t max_iter, const Policy& pol) noexcept(boost::math::is_floating_point_v<T>) +{ + if(max_iter >= policies::get_max_series_iterations<Policy>()) + raise_evaluation_error<T>( + function, + "Series evaluation exceeded %1% iterations, giving up now.", static_cast<T>(static_cast<double>(max_iter)), pol); +} + +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED inline void check_root_iterations(const char* function, boost::math::uintmax_t max_iter, const Policy& pol) noexcept(boost::math::is_floating_point_v<T>) +{ + if(max_iter >= policies::get_max_root_iterations<Policy>()) + raise_evaluation_error<T>( + function, + "Root finding evaluation exceeded %1% iterations, giving up now.", static_cast<T>(static_cast<double>(max_iter)), pol); +} + +} // namespace policies +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_HAS_NVRTC + +namespace boost { namespace math { namespace detail { // // Simple helper function to assist in returning a pair from a single value, // that value usually comes from one of the error handlers above: // template <class T> -std::pair<T, T> pair_from_single(const T& val) BOOST_MATH_NOEXCEPT(T) +BOOST_MATH_GPU_ENABLED boost::math::pair<T, T> pair_from_single(const T& val) BOOST_MATH_NOEXCEPT(T) { - return std::make_pair(val, val); + return boost::math::make_pair(val, val); } -} - -#ifdef _MSC_VER -# pragma warning(pop) -#endif - -}} // namespaces boost/math +}}} // boost::math::detail #endif // BOOST_MATH_POLICY_ERROR_HANDLING_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/policies/policy.hpp b/contrib/restricted/boost/math/include/boost/math/policies/policy.hpp index eb09682e32..ec7b36f2d5 100644 --- a/contrib/restricted/boost/math/include/boost/math/policies/policy.hpp +++ b/contrib/restricted/boost/math/include/boost/math/policies/policy.hpp @@ -9,11 +9,9 @@ #include <boost/math/tools/config.hpp> #include <boost/math/tools/mp.hpp> -#include <limits> -#include <type_traits> -#include <cmath> -#include <cstdint> -#include <cstddef> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/cstdint.hpp> namespace boost{ namespace math{ @@ -22,9 +20,9 @@ namespace mp = tools::meta_programming; namespace tools{ template <class T> -constexpr int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept; +BOOST_MATH_GPU_ENABLED constexpr int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept; template <class T> -constexpr T epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(std::is_floating_point<T>::value); +BOOST_MATH_GPU_ENABLED constexpr T epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(boost::math::is_floating_point<T>::value); } @@ -33,6 +31,33 @@ namespace policies{ // // Define macros for our default policies, if they're not defined already: // + + +// +// Generic support for GPUs +// +#ifdef BOOST_MATH_HAS_GPU_SUPPORT +# ifndef BOOST_MATH_OVERFLOW_ERROR_POLICY +# define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error +# endif +# ifndef BOOST_MATH_PROMOTE_DOUBLE_POLICY +# define BOOST_MATH_PROMOTE_DOUBLE_POLICY false +# endif +# ifndef BOOST_MATH_DOMAIN_ERROR_POLICY +# define BOOST_MATH_DOMAIN_ERROR_POLICY ignore_error +# endif +# ifndef BOOST_MATH_POLE_ERROR_POLICY +# define BOOST_MATH_POLE_ERROR_POLICY ignore_error +# endif +# ifndef BOOST_MATH_EVALUATION_ERROR_POLICY +# define BOOST_MATH_EVALUATION_ERROR_POLICY ignore_error +# endif +# ifndef BOOST_MATH_ROUNDING_ERROR_POLICY +# define BOOST_MATH_ROUNDING_ERROR_POLICY ignore_error +# endif +#endif + +// // Special cases for exceptions disabled first: // #ifdef BOOST_MATH_NO_EXCEPTIONS @@ -107,20 +132,20 @@ namespace policies{ #define BOOST_MATH_META_INT(Type, name, Default) \ template <Type N = Default> \ - class name : public std::integral_constant<int, N>{}; \ + class name : public boost::math::integral_constant<int, N>{}; \ \ namespace detail{ \ template <Type N> \ - char test_is_valid_arg(const name<N>* = nullptr); \ - char test_is_default_arg(const name<Default>* = nullptr); \ + BOOST_MATH_GPU_ENABLED char test_is_valid_arg(const name<N>* = nullptr); \ + BOOST_MATH_GPU_ENABLED char test_is_default_arg(const name<Default>* = nullptr); \ \ template <typename T> \ class is_##name##_imp \ { \ private: \ template <Type N> \ - static char test(const name<N>* = nullptr); \ - static double test(...); \ + BOOST_MATH_GPU_ENABLED static char test(const name<N>* = nullptr); \ + BOOST_MATH_GPU_ENABLED static double test(...); \ public: \ static constexpr bool value = sizeof(test(static_cast<T*>(nullptr))) == sizeof(char); \ }; \ @@ -131,27 +156,27 @@ namespace policies{ { \ public: \ static constexpr bool value = boost::math::policies::detail::is_##name##_imp<T>::value; \ - using type = std::integral_constant<bool, value>; \ + using type = boost::math::integral_constant<bool, value>; \ }; #define BOOST_MATH_META_BOOL(name, Default) \ template <bool N = Default> \ - class name : public std::integral_constant<bool, N>{}; \ + class name : public boost::math::integral_constant<bool, N>{}; \ \ namespace detail{ \ template <bool N> \ - char test_is_valid_arg(const name<N>* = nullptr); \ - char test_is_default_arg(const name<Default>* = nullptr); \ + BOOST_MATH_GPU_ENABLED char test_is_valid_arg(const name<N>* = nullptr); \ + BOOST_MATH_GPU_ENABLED char test_is_default_arg(const name<Default>* = nullptr); \ \ template <typename T> \ class is_##name##_imp \ { \ private: \ template <bool N> \ - static char test(const name<N>* = nullptr); \ - static double test(...); \ + BOOST_MATH_GPU_ENABLED static char test(const name<N>* = nullptr); \ + BOOST_MATH_GPU_ENABLED static double test(...); \ public: \ - static constexpr bool value = sizeof(test(static_cast<T*>(nullptr))) == sizeof(char); \ + static constexpr bool value = sizeof(test(static_cast<T*>(nullptr))) == sizeof(char); \ }; \ } \ \ @@ -160,7 +185,7 @@ namespace policies{ { \ public: \ static constexpr bool value = boost::math::policies::detail::is_##name##_imp<T>::value; \ - using type = std::integral_constant<bool, value>; \ + using type = boost::math::integral_constant<bool, value>; \ }; // @@ -232,27 +257,27 @@ struct precision // // Now work out the precision: // - using digits2_type = typename std::conditional< + using digits2_type = typename boost::math::conditional< (Digits10::value == 0), digits2<0>, digits2<((Digits10::value + 1) * 1000L) / 301L> >::type; public: #ifdef BOOST_BORLANDC - using type = typename std::conditional< + using type = typename boost::math::conditional< (Digits2::value > ::boost::math::policies::detail::precision<Digits10,Digits2>::digits2_type::value), Digits2, digits2_type>::type; #else - using type = typename std::conditional< + using type = typename boost::math::conditional< (Digits2::value > digits2_type::value), Digits2, digits2_type>::type; #endif }; -double test_is_valid_arg(...); -double test_is_default_arg(...); -char test_is_valid_arg(const default_policy*); -char test_is_default_arg(const default_policy*); +BOOST_MATH_GPU_ENABLED double test_is_valid_arg(...); +BOOST_MATH_GPU_ENABLED double test_is_default_arg(...); +BOOST_MATH_GPU_ENABLED char test_is_valid_arg(const default_policy*); +BOOST_MATH_GPU_ENABLED char test_is_default_arg(const default_policy*); template <typename T> class is_valid_policy_imp @@ -280,7 +305,7 @@ class is_default_policy { public: static constexpr bool value = boost::math::policies::detail::is_default_policy_imp<T>::value; - using type = std::integral_constant<bool, value>; + using type = boost::math::integral_constant<bool, value>; template <typename U> struct apply @@ -289,7 +314,7 @@ public: }; }; -template <class Seq, class T, std::size_t N> +template <class Seq, class T, boost::math::size_t N> struct append_N { using type = typename append_N<mp::mp_push_back<Seq, T>, T, N-1>::type; @@ -378,7 +403,7 @@ private: // Typelist of the arguments: // using arg_list = mp::mp_list<A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11,A12,A13>; - static constexpr std::size_t arg_list_size = mp::mp_size<arg_list>::value; + static constexpr boost::math::size_t arg_list_size = mp::mp_size<arg_list>::value; template<typename A, typename B, bool b> struct pick_arg @@ -509,7 +534,7 @@ class normalise { private: using arg_list = mp::mp_list<A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11,A12,A13>; - static constexpr std::size_t arg_list_size = mp::mp_size<arg_list>::value; + static constexpr boost::math::size_t arg_list_size = mp::mp_size<arg_list>::value; template<typename A, typename B, bool b> struct pick_arg @@ -640,81 +665,81 @@ struct normalise<policy<detail::forwarding_arg1, detail::forwarding_arg2>, using type = policy<detail::forwarding_arg1, detail::forwarding_arg2>; }; -inline constexpr policy<> make_policy() noexcept +BOOST_MATH_GPU_ENABLED constexpr policy<> make_policy() noexcept { return {}; } template <class A1> -inline constexpr typename normalise<policy<>, A1>::type make_policy(const A1&) noexcept +BOOST_MATH_GPU_ENABLED constexpr typename normalise<policy<>, A1>::type make_policy(const A1&) noexcept { typedef typename normalise<policy<>, A1>::type result_type; return result_type(); } template <class A1, class A2> -inline constexpr typename normalise<policy<>, A1, A2>::type make_policy(const A1&, const A2&) noexcept +BOOST_MATH_GPU_ENABLED constexpr typename normalise<policy<>, A1, A2>::type make_policy(const A1&, const A2&) noexcept { typedef typename normalise<policy<>, A1, A2>::type result_type; return result_type(); } template <class A1, class A2, class A3> -inline constexpr typename normalise<policy<>, A1, A2, A3>::type make_policy(const A1&, const A2&, const A3&) noexcept +BOOST_MATH_GPU_ENABLED constexpr typename normalise<policy<>, A1, A2, A3>::type make_policy(const A1&, const A2&, const A3&) noexcept { typedef typename normalise<policy<>, A1, A2, A3>::type result_type; return result_type(); } template <class A1, class A2, class A3, class A4> -inline constexpr typename normalise<policy<>, A1, A2, A3, A4>::type make_policy(const A1&, const A2&, const A3&, const A4&) noexcept +BOOST_MATH_GPU_ENABLED constexpr typename normalise<policy<>, A1, A2, A3, A4>::type make_policy(const A1&, const A2&, const A3&, const A4&) noexcept { typedef typename normalise<policy<>, A1, A2, A3, A4>::type result_type; return result_type(); } template <class A1, class A2, class A3, class A4, class A5> -inline constexpr typename normalise<policy<>, A1, A2, A3, A4, A5>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&) noexcept +BOOST_MATH_GPU_ENABLED constexpr typename normalise<policy<>, A1, A2, A3, A4, A5>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&) noexcept { typedef typename normalise<policy<>, A1, A2, A3, A4, A5>::type result_type; return result_type(); } template <class A1, class A2, class A3, class A4, class A5, class A6> -inline constexpr typename normalise<policy<>, A1, A2, A3, A4, A5, A6>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&) noexcept +BOOST_MATH_GPU_ENABLED constexpr typename normalise<policy<>, A1, A2, A3, A4, A5, A6>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&) noexcept { typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6>::type result_type; return result_type(); } template <class A1, class A2, class A3, class A4, class A5, class A6, class A7> -inline constexpr typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&) noexcept +BOOST_MATH_GPU_ENABLED constexpr typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&) noexcept { typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7>::type result_type; return result_type(); } template <class A1, class A2, class A3, class A4, class A5, class A6, class A7, class A8> -inline constexpr typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&, const A8&) noexcept +BOOST_MATH_GPU_ENABLED constexpr typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&, const A8&) noexcept { typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8>::type result_type; return result_type(); } template <class A1, class A2, class A3, class A4, class A5, class A6, class A7, class A8, class A9> -inline constexpr typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&, const A8&, const A9&) noexcept +BOOST_MATH_GPU_ENABLED constexpr typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&, const A8&, const A9&) noexcept { typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9>::type result_type; return result_type(); } template <class A1, class A2, class A3, class A4, class A5, class A6, class A7, class A8, class A9, class A10> -inline constexpr typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&, const A8&, const A9&, const A10&) noexcept +BOOST_MATH_GPU_ENABLED constexpr typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&, const A8&, const A9&, const A10&) noexcept { typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10>::type result_type; return result_type(); } template <class A1, class A2, class A3, class A4, class A5, class A6, class A7, class A8, class A9, class A10, class A11> -inline constexpr typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&, const A8&, const A9&, const A10&, const A11&) noexcept +BOOST_MATH_GPU_ENABLED constexpr typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11>::type make_policy(const A1&, const A2&, const A3&, const A4&, const A5&, const A6&, const A7&, const A8&, const A9&, const A10&, const A11&) noexcept { typedef typename normalise<policy<>, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11>::type result_type; return result_type(); @@ -732,47 +757,47 @@ struct evaluation template <class Policy> struct evaluation<float, Policy> { - using type = typename std::conditional<Policy::promote_float_type::value, double, float>::type; + using type = typename boost::math::conditional<Policy::promote_float_type::value, double, float>::type; }; template <class Policy> struct evaluation<double, Policy> { - using type = typename std::conditional<Policy::promote_double_type::value, long double, double>::type; + using type = typename boost::math::conditional<Policy::promote_double_type::value, long double, double>::type; }; template <class Real, class Policy> struct precision { - static_assert((std::numeric_limits<Real>::radix == 2) || ((std::numeric_limits<Real>::is_specialized == 0) || (std::numeric_limits<Real>::digits == 0)), - "(std::numeric_limits<Real>::radix == 2) || ((std::numeric_limits<Real>::is_specialized == 0) || (std::numeric_limits<Real>::digits == 0))"); + static_assert((boost::math::numeric_limits<Real>::radix == 2) || ((boost::math::numeric_limits<Real>::is_specialized == 0) || (boost::math::numeric_limits<Real>::digits == 0)), + "(boost::math::numeric_limits<Real>::radix == 2) || ((boost::math::numeric_limits<Real>::is_specialized == 0) || (boost::math::numeric_limits<Real>::digits == 0))"); #ifndef BOOST_BORLANDC using precision_type = typename Policy::precision_type; - using type = typename std::conditional< - ((std::numeric_limits<Real>::is_specialized == 0) || (std::numeric_limits<Real>::digits == 0)), + using type = typename boost::math::conditional< + ((boost::math::numeric_limits<Real>::is_specialized == 0) || (boost::math::numeric_limits<Real>::digits == 0)), // Possibly unknown precision: precision_type, - typename std::conditional< - ((std::numeric_limits<Real>::digits <= precision_type::value) + typename boost::math::conditional< + ((boost::math::numeric_limits<Real>::digits <= precision_type::value) || (Policy::precision_type::value <= 0)), // Default case, full precision for RealType: - digits2< std::numeric_limits<Real>::digits>, + digits2< boost::math::numeric_limits<Real>::digits>, // User customised precision: precision_type >::type >::type; #else using precision_type = typename Policy::precision_type; - using digits_t = std::integral_constant<int, std::numeric_limits<Real>::digits>; - using spec_t = std::integral_constant<bool, std::numeric_limits<Real>::is_specialized>; - using type = typename std::conditional< - (spec_t::value == true std::true_type || digits_t::value == 0), + using digits_t = boost::math::integral_constant<int, boost::math::numeric_limits<Real>::digits>; + using spec_t = boost::math::integral_constant<bool, boost::math::numeric_limits<Real>::is_specialized>; + using type = typename boost::math::conditional< + (spec_t::value == true boost::math::true_type || digits_t::value == 0), // Possibly unknown precision: precision_type, - typename std::conditional< + typename boost::math::conditional< (digits_t::value <= precision_type::value || precision_type::value <= 0), // Default case, full precision for RealType: - digits2< std::numeric_limits<Real>::digits>, + digits2< boost::math::numeric_limits<Real>::digits>, // User customised precision: precision_type >::type @@ -785,7 +810,7 @@ struct precision template <class Policy> struct precision<BOOST_MATH_FLOAT128_TYPE, Policy> { - typedef std::integral_constant<int, 113> type; + typedef boost::math::integral_constant<int, 113> type; }; #endif @@ -793,15 +818,15 @@ struct precision<BOOST_MATH_FLOAT128_TYPE, Policy> namespace detail{ template <class T, class Policy> -inline constexpr int digits_imp(std::true_type const&) noexcept +BOOST_MATH_GPU_ENABLED constexpr int digits_imp(boost::math::true_type const&) noexcept { - static_assert( std::numeric_limits<T>::is_specialized, "std::numeric_limits<T>::is_specialized"); + static_assert( boost::math::numeric_limits<T>::is_specialized, "boost::math::numeric_limits<T>::is_specialized"); typedef typename boost::math::policies::precision<T, Policy>::type p_t; return p_t::value; } template <class T, class Policy> -inline constexpr int digits_imp(std::false_type const&) noexcept +BOOST_MATH_GPU_ENABLED constexpr int digits_imp(boost::math::false_type const&) noexcept { return tools::digits<T>(); } @@ -809,26 +834,26 @@ inline constexpr int digits_imp(std::false_type const&) noexcept } // namespace detail template <class T, class Policy> -inline constexpr int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept +BOOST_MATH_GPU_ENABLED constexpr int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept { - typedef std::integral_constant<bool, std::numeric_limits<T>::is_specialized > tag_type; + typedef boost::math::integral_constant<bool, boost::math::numeric_limits<T>::is_specialized > tag_type; return detail::digits_imp<T, Policy>(tag_type()); } template <class T, class Policy> -inline constexpr int digits_base10(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept +BOOST_MATH_GPU_ENABLED constexpr int digits_base10(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept { return boost::math::policies::digits<T, Policy>() * 301 / 1000L; } template <class Policy> -inline constexpr unsigned long get_max_series_iterations() noexcept +BOOST_MATH_GPU_ENABLED constexpr unsigned long get_max_series_iterations() noexcept { typedef typename Policy::max_series_iterations_type iter_type; return iter_type::value; } template <class Policy> -inline constexpr unsigned long get_max_root_iterations() noexcept +BOOST_MATH_GPU_ENABLED constexpr unsigned long get_max_root_iterations() noexcept { typedef typename Policy::max_root_iterations_type iter_type; return iter_type::value; @@ -839,51 +864,51 @@ namespace detail{ template <class T, class Digits, class Small, class Default> struct series_factor_calc { - static T get() noexcept(std::is_floating_point<T>::value) + BOOST_MATH_GPU_ENABLED static T get() noexcept(boost::math::is_floating_point<T>::value) { return ldexp(T(1.0), 1 - Digits::value); } }; template <class T, class Digits> -struct series_factor_calc<T, Digits, std::true_type, std::true_type> +struct series_factor_calc<T, Digits, boost::math::true_type, boost::math::true_type> { - static constexpr T get() noexcept(std::is_floating_point<T>::value) + BOOST_MATH_GPU_ENABLED static constexpr T get() noexcept(boost::math::is_floating_point<T>::value) { return boost::math::tools::epsilon<T>(); } }; template <class T, class Digits> -struct series_factor_calc<T, Digits, std::true_type, std::false_type> +struct series_factor_calc<T, Digits, boost::math::true_type, boost::math::false_type> { - static constexpr T get() noexcept(std::is_floating_point<T>::value) + BOOST_MATH_GPU_ENABLED static constexpr T get() noexcept(boost::math::is_floating_point<T>::value) { - return 1 / static_cast<T>(static_cast<std::uintmax_t>(1u) << (Digits::value - 1)); + return 1 / static_cast<T>(static_cast<boost::math::uintmax_t>(1u) << (Digits::value - 1)); } }; template <class T, class Digits> -struct series_factor_calc<T, Digits, std::false_type, std::true_type> +struct series_factor_calc<T, Digits, boost::math::false_type, boost::math::true_type> { - static constexpr T get() noexcept(std::is_floating_point<T>::value) + BOOST_MATH_GPU_ENABLED static constexpr T get() noexcept(boost::math::is_floating_point<T>::value) { return boost::math::tools::epsilon<T>(); } }; template <class T, class Policy> -inline constexpr T get_epsilon_imp(std::true_type const&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED constexpr T get_epsilon_imp(boost::math::true_type const&) noexcept(boost::math::is_floating_point<T>::value) { - static_assert(std::numeric_limits<T>::is_specialized, "std::numeric_limits<T>::is_specialized"); - static_assert(std::numeric_limits<T>::radix == 2, "std::numeric_limits<T>::radix == 2"); + static_assert(boost::math::numeric_limits<T>::is_specialized, "boost::math::numeric_limits<T>::is_specialized"); + static_assert(boost::math::numeric_limits<T>::radix == 2, "boost::math::numeric_limits<T>::radix == 2"); typedef typename boost::math::policies::precision<T, Policy>::type p_t; - typedef std::integral_constant<bool, p_t::value <= std::numeric_limits<std::uintmax_t>::digits> is_small_int; - typedef std::integral_constant<bool, p_t::value >= std::numeric_limits<T>::digits> is_default_value; + typedef boost::math::integral_constant<bool, p_t::value <= boost::math::numeric_limits<boost::math::uintmax_t>::digits> is_small_int; + typedef boost::math::integral_constant<bool, p_t::value >= boost::math::numeric_limits<T>::digits> is_default_value; return series_factor_calc<T, p_t, is_small_int, is_default_value>::get(); } template <class T, class Policy> -inline constexpr T get_epsilon_imp(std::false_type const&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED constexpr T get_epsilon_imp(boost::math::false_type const&) noexcept(boost::math::is_floating_point<T>::value) { return tools::epsilon<T>(); } @@ -891,9 +916,9 @@ inline constexpr T get_epsilon_imp(std::false_type const&) noexcept(std::is_floa } // namespace detail template <class T, class Policy> -inline constexpr T get_epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED constexpr T get_epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(boost::math::is_floating_point<T>::value) { - typedef std::integral_constant<bool, (std::numeric_limits<T>::is_specialized && (std::numeric_limits<T>::radix == 2)) > tag_type; + typedef boost::math::integral_constant<bool, (boost::math::numeric_limits<T>::is_specialized && (boost::math::numeric_limits<T>::radix == 2)) > tag_type; return detail::get_epsilon_imp<T, Policy>(tag_type()); } @@ -910,8 +935,8 @@ template <class A1, class A9, class A10, class A11> -char test_is_policy(const policy<A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11>*); -double test_is_policy(...); +BOOST_MATH_GPU_ENABLED char test_is_policy(const policy<A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,A11>*); +BOOST_MATH_GPU_ENABLED double test_is_policy(...); template <typename P> class is_policy_imp @@ -927,7 +952,7 @@ class is_policy { public: static constexpr bool value = boost::math::policies::detail::is_policy_imp<P>::value; - using type = std::integral_constant<bool, value>; + using type = boost::math::integral_constant<bool, value>; }; // @@ -937,20 +962,20 @@ template <class Policy> struct constructor_error_check { using domain_error_type = typename Policy::domain_error_type; - using type = typename std::conditional< + using type = typename boost::math::conditional< (domain_error_type::value == throw_on_error) || (domain_error_type::value == user_error) || (domain_error_type::value == errno_on_error), - std::true_type, - std::false_type>::type; + boost::math::true_type, + boost::math::false_type>::type; }; template <class Policy> struct method_error_check { using domain_error_type = typename Policy::domain_error_type; - using type = typename std::conditional< + using type = typename boost::math::conditional< (domain_error_type::value == throw_on_error), - std::false_type, - std::true_type>::type; + boost::math::false_type, + boost::math::true_type>::type; }; // // Does the Policy ever throw on error? diff --git a/contrib/restricted/boost/math/include/boost/math/quadrature/detail/exp_sinh_detail.hpp b/contrib/restricted/boost/math/include/boost/math/quadrature/detail/exp_sinh_detail.hpp index 2df07b6ecc..77f2fbf060 100644 --- a/contrib/restricted/boost/math/include/boost/math/quadrature/detail/exp_sinh_detail.hpp +++ b/contrib/restricted/boost/math/include/boost/math/quadrature/detail/exp_sinh_detail.hpp @@ -7,6 +7,10 @@ #ifndef BOOST_MATH_QUADRATURE_DETAIL_EXP_SINH_DETAIL_HPP #define BOOST_MATH_QUADRATURE_DETAIL_EXP_SINH_DETAIL_HPP +#include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <cmath> #include <vector> #include <typeinfo> @@ -541,4 +545,1458 @@ void exp_sinh_detail<Real, Policy>::init(const std::integral_constant<int, 4>&) } } } -#endif + +#endif // BOOST_MATH_HAS_NVRTC + +#ifdef BOOST_MATH_ENABLE_CUDA // BOOST_MATH_ENABLE_CUDA + +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/precision.hpp> +#include <boost/math/constants/constants.hpp> +#include <boost/math/special_functions/fpclassify.hpp> +#include <boost/math/policies/error_handling.hpp> + +namespace boost { +namespace math { +namespace quadrature { +namespace detail { + +// In the CUDA case we break these down into a series of fixed size arrays and then make a pointer to the arrays +// We can't use a 2D array because it takes up far too much memory that is primarily wasted space + +__constant__ float m_abscissas_float_1[9] = + { 3.47876573e-23f, 5.62503650e-09f, 9.95706124e-04f, 9.67438487e-02f, 7.43599217e-01f, 4.14293205e+00f, + 1.08086768e+02f, 4.56291316e+05f, 2.70123007e+15f, }; + +__constant__ float m_abscissas_float_2[8] = + { 2.41870864e-14f, 1.02534662e-05f, 1.65637566e-02f, 3.11290799e-01f, 1.64691269e+00f, 1.49800773e+01f, + 2.57724301e+03f, 2.24833766e+09f, }; + +__constant__ float m_abscissas_float_3[16] = + { 3.24983286e-18f, 2.51095186e-11f, 3.82035773e-07f, 1.33717837e-04f, 4.80260650e-03f, 4.41526928e-02f, + 1.83045938e-01f, 4.91960276e-01f, 1.10322609e+00f, 2.53681744e+00f, 7.39791792e+00f, 3.59560256e+01f, + 4.36061333e+02f, 2.49501460e+04f, 1.89216933e+07f, 1.03348694e+12f, }; + +__constant__ float m_abscissas_float_4[33] = + { 1.51941172e-20f, 3.70201714e-16f, 9.67598102e-13f, 4.44773051e-10f, 5.28493928e-08f, 2.19158236e-06f, + 4.00799258e-05f, 3.88011529e-04f, 2.29325538e-03f, 9.25182629e-03f, 2.78117501e-02f, 6.67553298e-02f, + 1.35173168e-01f, 2.41374946e-01f, 3.94194704e-01f, 6.07196731e-01f, 9.06432514e-01f, 1.34481045e+00f, + 2.03268444e+00f, 3.21243032e+00f, 5.46310949e+00f, 1.03365745e+01f, 2.26486752e+01f, 6.03727778e+01f, + 2.08220266e+02f, 1.00431239e+03f, 7.47843388e+03f, 9.75279951e+04f, 2.61755592e+06f, 1.77776624e+08f, + 3.98255346e+10f, 4.13443763e+13f, 3.07708133e+17f, }; + +__constant__ float m_abscissas_float_5[66] = + { 7.99409438e-22f, 2.41624595e-19f, 3.73461321e-17f, 3.19397902e-15f, 1.62042378e-13f, 5.18579386e-12f, + 1.10520072e-10f, 1.64548212e-09f, 1.78534009e-08f, 1.46529196e-07f, 9.40168786e-07f, 4.85507733e-06f, + 2.07038029e-05f, 7.45799409e-05f, 2.31536599e-04f, 6.30580368e-04f, 1.53035449e-03f, 3.35582040e-03f, + 6.73124842e-03f, 1.24856832e-02f, 2.16245309e-02f, 3.52720523e-02f, 5.45995171e-02f, 8.07587788e-02f, + 1.14840025e-01f, 1.57867103e-01f, 2.10837078e-01f, 2.74805391e-01f, 3.51015955e-01f, 4.41077540e-01f, + 5.47194016e-01f, 6.72466825e-01f, 8.21304567e-01f, 1.00000000e+00f, 1.21757511e+00f, 1.48706221e+00f, + 1.82750536e+00f, 2.26717507e+00f, 2.84887335e+00f, 3.63893880e+00f, 4.74299876e+00f, 6.33444194e+00f, + 8.70776542e+00f, 1.23825548e+01f, 1.83151803e+01f, 2.83510579e+01f, 4.62437776e+01f, 8.00917327e+01f, + 1.48560852e+02f, 2.97989725e+02f, 6.53443372e+02f, 1.58584068e+03f, 4.31897162e+03f, 1.34084311e+04f, + 4.83003053e+04f, 2.05969943e+05f, 1.06363880e+06f, 6.82457850e+06f, 5.60117371e+07f, 6.07724622e+08f, + 9.04813016e+09f, 1.92834507e+11f, 6.17122515e+12f, 3.13089095e+14f, 2.67765347e+16f, 4.13865153e+18f, }; + +__constant__ float m_abscissas_float_6[132] = + { 1.70893932e-22f, 3.56621447e-21f, 6.19138882e-20f, 9.04299298e-19f, 1.12287188e-17f, 1.19706303e-16f, + 1.10583090e-15f, 8.92931857e-15f, 6.35404710e-14f, 4.01527389e-13f, 2.26955738e-12f, 1.15522811e-11f, + 5.32913181e-11f, 2.24130967e-10f, 8.64254491e-10f, 3.07161058e-09f, 1.01117742e-08f, 3.09775637e-08f, + 8.87004371e-08f, 2.38368096e-07f, 6.03520392e-07f, 1.44488635e-06f, 3.28212299e-06f, 7.09655821e-06f, + 1.46494407e-05f, 2.89537394e-05f, 5.49357161e-05f, 1.00313252e-04f, 1.76700203e-04f, 3.00920507e-04f, + 4.96484845e-04f, 7.95150594e-04f, 1.23845781e-03f, 1.87911525e-03f, 2.78210510e-03f, 4.02538552e-03f, + 5.70009588e-03f, 7.91020800e-03f, 1.07716137e-02f, 1.44106884e-02f, 1.89624177e-02f, 2.45682104e-02f, + 3.13735515e-02f, 3.95256605e-02f, 4.91713196e-02f, 6.04550279e-02f, 7.35176150e-02f, 8.84954195e-02f, + 1.05520113e-01f, 1.24719213e-01f, 1.46217318e-01f, 1.70138063e-01f, 1.96606781e-01f, 2.25753880e-01f, + 2.57718900e-01f, 2.92655274e-01f, 3.30735809e-01f, 3.72158929e-01f, 4.17155794e-01f, 4.65998399e-01f, + 5.19008863e-01f, 5.76570161e-01f, 6.39138643e-01f, 7.07258781e-01f, 7.81580731e-01f, 8.62881450e-01f, + 9.52090320e-01f, 1.05032052e+00f, 1.15890775e+00f, 1.27945836e+00f, 1.41390963e+00f, 1.56460576e+00f, + 1.73439430e+00f, 1.92674937e+00f, 2.14593012e+00f, 2.39718593e+00f, 2.68702407e+00f, 3.02356133e+00f, + 3.41698950e+00f, 3.88019661e+00f, 4.42960272e+00f, 5.08629455e+00f, 5.87757956e+00f, 6.83913514e+00f, + 8.01801085e+00f, 9.47686632e+00f, 1.13000199e+01f, 1.36021823e+01f, 1.65412214e+01f, 2.03370584e+01f, + 2.53000199e+01f, 3.18739815e+01f, 4.07030054e+01f, 5.27358913e+01f, 6.93929374e+01f, 9.28366010e+01f, + 1.26418926e+02f, 1.75435645e+02f, 2.48423411e+02f, 3.59440052e+02f, 5.32165336e+02f, 8.07455844e+02f, + 1.25762341e+03f, 2.01416017e+03f, 3.32313676e+03f, 5.65930306e+03f, 9.96877263e+03f, 1.82030939e+04f, + 3.45378531e+04f, 6.82619916e+04f, 1.40913380e+05f, 3.04680844e+05f, 6.92095957e+05f, 1.65694484e+06f, + 4.19519229e+06f, 1.12739016e+07f, 3.22814282e+07f, 9.88946136e+07f, 3.25562103e+08f, 1.15706659e+09f, + 4.46167708e+09f, 1.87647826e+10f, 8.65629909e+10f, 4.40614549e+11f, 2.49049013e+12f, 1.57380011e+13f, + 1.11990629e+14f, 9.04297390e+14f, 8.35377903e+15f, 8.90573552e+16f, 1.10582857e+18f, 1.61514650e+19f, }; + +__constant__ float m_abscissas_float_7[263] = + { 7.75845008e-23f, 3.71846701e-22f, 1.69833677e-21f, 7.40284853e-21f, 3.08399399e-20f, 1.22962599e-19f, + 4.69855182e-19f, 1.72288020e-18f, 6.07012059e-18f, 2.05742924e-17f, 6.71669437e-17f, 2.11441966e-16f, + 6.42566550e-16f, 1.88715605e-15f, 5.36188198e-15f, 1.47533056e-14f, 3.93507835e-14f, 1.01841667e-13f, + 2.55981752e-13f, 6.25453236e-13f, 1.48683211e-12f, 3.44173601e-12f, 7.76421789e-12f, 1.70831312e-11f, + 3.66877698e-11f, 7.69632540e-11f, 1.57822184e-10f, 3.16577320e-10f, 6.21604166e-10f, 1.19551931e-09f, + 2.25364361e-09f, 4.16647469e-09f, 7.55905964e-09f, 1.34658870e-08f, 2.35675936e-08f, 4.05458117e-08f, + 6.86052525e-08f, 1.14227960e-07f, 1.87243781e-07f, 3.02323521e-07f, 4.81026747e-07f, 7.54564302e-07f, + 1.16746531e-06f, 1.78236867e-06f, 2.68618781e-06f, 3.99792342e-06f, 5.87841837e-06f, 8.54236163e-06f, + 1.22728487e-05f, 1.74387947e-05f, 2.45154696e-05f, 3.41083807e-05f, 4.69806683e-05f, 6.40841007e-05f, + 8.65936597e-05f, 1.15945600e-04f, 1.53878746e-04f, 2.02478652e-04f, 2.64224143e-04f, 3.42035594e-04f, + 4.39324211e-04f, 5.60041454e-04f, 7.08727668e-04f, 8.90558896e-04f, 1.11139085e-03f, 1.37779898e-03f, + 1.69711358e-03f, 2.07744903e-03f, 2.52772622e-03f, 3.05768742e-03f, 3.67790298e-03f, 4.39976940e-03f, + 5.23549846e-03f, 6.19809738e-03f, 7.30134015e-03f, 8.55973022e-03f, 9.98845520e-03f, 1.16033342e-02f, + 1.34207587e-02f, 1.54576276e-02f, 1.77312787e-02f, 2.02594158e-02f, 2.30600348e-02f, 2.61513493e-02f, + 2.95517158e-02f, 3.32795626e-02f, 3.73533204e-02f, 4.17913590e-02f, 4.66119283e-02f, 5.18331072e-02f, + 5.74727595e-02f, 6.35484986e-02f, 7.00776615e-02f, 7.70772927e-02f, 8.45641386e-02f, 9.25546518e-02f, + 1.01065008e-01f, 1.10111132e-01f, 1.19708739e-01f, 1.29873379e-01f, 1.40620505e-01f, 1.51965539e-01f, + 1.63923958e-01f, 1.76511391e-01f, 1.89743720e-01f, 2.03637197e-01f, 2.18208574e-01f, 2.33475238e-01f, + 2.49455360e-01f, 2.66168055e-01f, 2.83633553e-01f, 3.01873381e-01f, 3.20910560e-01f, 3.40769809e-01f, + 3.61477772e-01f, 3.83063247e-01f, 4.05557445e-01f, 4.28994258e-01f, 4.53410546e-01f, 4.78846448e-01f, + 5.05345717e-01f, 5.32956079e-01f, 5.61729623e-01f, 5.91723220e-01f, 6.22998983e-01f, 6.55624768e-01f, + 6.89674714e-01f, 7.25229845e-01f, 7.62378724e-01f, 8.01218171e-01f, 8.41854062e-01f, 8.84402205e-01f, + 9.28989312e-01f, 9.75754080e-01f, 1.02484839e+00f, 1.07643865e+00f, 1.13070727e+00f, 1.18785434e+00f, + 1.24809950e+00f, 1.31168403e+00f, 1.37887320e+00f, 1.44995892e+00f, 1.52526270e+00f, 1.60513906e+00f, + 1.68997931e+00f, 1.78021589e+00f, 1.87632722e+00f, 1.97884333e+00f, 2.08835213e+00f, 2.20550671e+00f, + 2.33103353e+00f, 2.46574193e+00f, 2.61053497e+00f, 2.76642183e+00f, 2.93453226e+00f, 3.11613304e+00f, + 3.31264716e+00f, 3.52567596e+00f, 3.75702486e+00f, 4.00873326e+00f, 4.28310945e+00f, 4.58277134e+00f, + 4.91069419e+00f, 5.27026666e+00f, 5.66535674e+00f, 6.10038953e+00f, 6.58043928e+00f, 7.11133842e+00f, + 7.69980735e+00f, 8.35360902e+00f, 9.08173387e+00f, 9.89462150e+00f, 1.08044272e+01f, 1.18253437e+01f, + 1.29739897e+01f, 1.42698826e+01f, 1.57360130e+01f, 1.73995473e+01f, 1.92926887e+01f, 2.14537359e+01f, + 2.39283915e+01f, 2.67713817e+01f, 3.00484719e+01f, 3.38389827e+01f, 3.82389447e+01f, 4.33650689e+01f, + 4.93597649e+01f, 5.63975118e+01f, 6.46929803e+01f, 7.45114359e+01f, 8.61821250e+01f, 1.00115581e+02f, + 1.16826112e+02f, 1.36961158e+02f, 1.61339834e+02f, 1.91003781e+02f, 2.27284639e+02f, 2.71894067e+02f, + 3.27044548e+02f, 3.95612465e+02f, 4.81359585e+02f, 5.89235756e+02f, 7.25795284e+02f, 8.99773468e+02f, + 1.12289036e+03f, 1.41097920e+03f, 1.78558211e+03f, 2.27622329e+03f, 2.92367233e+03f, 3.78466551e+03f, + 4.93879227e+03f, 6.49862329e+03f, 8.62473434e+03f, 1.15481896e+04f, 1.56044945e+04f, 2.12853507e+04f, + 2.93183077e+04f, 4.07905708e+04f, 5.73434125e+04f, 8.14806753e+04f, 1.17063646e+05f, 1.70113785e+05f, + 2.50129854e+05f, 3.72274789e+05f, 5.61051155e+05f, 8.56556497e+05f, 1.32526810e+06f, 2.07888648e+06f, + 3.30771485e+06f, 5.34063130e+06f, 8.75442405e+06f, 1.45761434e+07f, 2.46634599e+07f, 4.24311457e+07f, + 7.42617251e+07f, 1.32291588e+08f, 2.40011058e+08f, 4.43725882e+08f, 8.36456588e+08f, 1.60874083e+09f, + 3.15878598e+09f, 6.33624483e+09f, 1.29932136e+10f, 2.72570398e+10f, 5.85372779e+10f, 1.28795973e+11f, + 2.90551047e+11f, 6.72570892e+11f, 1.59884056e+12f, 3.90652847e+12f, 9.81916374e+12f, 2.54124546e+13f, + 6.77814197e+13f, 1.86501681e+14f, 5.29897885e+14f, 1.55625904e+15f, 4.72943011e+15f, 1.48882761e+16f, + 4.86043448e+16f, 1.64741373e+17f, 5.80423410e+17f, 2.12831536e+18f, 8.13255421e+18f, }; + +__constant__ float m_abscissas_float_8[527] = + { 5.20331508e-23f, 1.15324162e-22f, 2.52466875e-22f, 5.46028730e-22f, 1.16690465e-21f, 2.46458927e-21f, + 5.14543768e-21f, 1.06205431e-20f, 2.16767715e-20f, 4.37564009e-20f, 8.73699691e-20f, 1.72595588e-19f, + 3.37377643e-19f, 6.52669145e-19f, 1.24976973e-18f, 2.36916845e-18f, 4.44691383e-18f, 8.26580373e-18f, + 1.52174118e-17f, 2.77517606e-17f, 5.01415830e-17f, 8.97689232e-17f, 1.59270821e-16f, 2.80084735e-16f, + 4.88253693e-16f, 8.43846463e-16f, 1.44610939e-15f, 2.45762595e-15f, 4.14251017e-15f, 6.92627770e-15f, + 1.14889208e-14f, 1.89084205e-14f, 3.08802476e-14f, 5.00504297e-14f, 8.05169965e-14f, 1.28579121e-13f, + 2.03847833e-13f, 3.20880532e-13f, 5.01568631e-13f, 7.78600100e-13f, 1.20044498e-12f, 1.83848331e-12f, + 2.79712543e-12f, 4.22808302e-12f, 6.35035779e-12f, 9.47805307e-12f, 1.40588174e-11f, 2.07266430e-11f, + 3.03739182e-11f, 4.42491437e-11f, 6.40886341e-11f, 9.22929507e-11f, 1.32161843e-10f, 1.88205259e-10f, + 2.66552657e-10f, 3.75488615e-10f, 5.26149742e-10f, 7.33426418e-10f, 1.01712318e-09f, 1.40344387e-09f, + 1.92688222e-09f, 2.63261606e-09f, 3.57952343e-09f, 4.84396276e-09f, 6.52448685e-09f, 8.74769197e-09f, + 1.16754399e-08f, 1.55137320e-08f, 2.05235608e-08f, 2.70341184e-08f, 3.54587968e-08f, 4.63144836e-08f, + 6.02447248e-08f, 7.80474059e-08f, 1.00707687e-07f, 1.29437018e-07f, 1.65719157e-07f, 2.11364220e-07f, + 2.68571894e-07f, 3.40005066e-07f, 4.28875221e-07f, 5.39041105e-07f, 6.75122241e-07f, 8.42629031e-07f, + 1.04811127e-06f, 1.29932703e-06f, 1.60543396e-06f, 1.97720518e-06f, 2.42727196e-06f, 2.97039558e-06f, + 3.62377065e-06f, 4.40736236e-06f, 5.34428013e-06f, 6.46118994e-06f, 7.78876789e-06f, 9.36219733e-06f, + 1.12217116e-05f, 1.34131848e-05f, 1.59887725e-05f, 1.90076038e-05f, 2.25365270e-05f, 2.66509096e-05f, + 3.14354940e-05f, 3.69853096e-05f, 4.34066412e-05f, 5.08180543e-05f, 5.93514765e-05f, 6.91533342e-05f, + 8.03857429e-05f, 9.32277499e-05f, 1.07876627e-04f, 1.24549208e-04f, 1.43483273e-04f, 1.64938971e-04f, + 1.89200275e-04f, 2.16576471e-04f, 2.47403671e-04f, 2.82046341e-04f, 3.20898851e-04f, 3.64387021e-04f, + 4.12969671e-04f, 4.67140163e-04f, 5.27427922e-04f, 5.94399942e-04f, 6.68662248e-04f, 7.50861330e-04f, + 8.41685517e-04f, 9.41866302e-04f, 1.05217960e-03f, 1.17344692e-03f, 1.30653650e-03f, 1.45236427e-03f, + 1.61189482e-03f, 1.78614219e-03f, 1.97617055e-03f, 2.18309485e-03f, 2.40808123e-03f, 2.65234740e-03f, + 2.91716284e-03f, 3.20384886e-03f, 3.51377855e-03f, 3.84837661e-03f, 4.20911898e-03f, 4.59753235e-03f, + 5.01519359e-03f, 5.46372894e-03f, 5.94481312e-03f, 6.46016832e-03f, 7.01156301e-03f, 7.60081065e-03f, + 8.22976829e-03f, 8.90033499e-03f, 9.61445021e-03f, 1.03740920e-02f, 1.11812753e-02f, 1.20380497e-02f, + 1.29464978e-02f, 1.39087327e-02f, 1.49268962e-02f, 1.60031562e-02f, 1.71397050e-02f, 1.83387564e-02f, + 1.96025436e-02f, 2.09333170e-02f, 2.23333419e-02f, 2.38048956e-02f, 2.53502659e-02f, 2.69717481e-02f, + 2.86716433e-02f, 3.04522558e-02f, 3.23158911e-02f, 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2.94113264e+06f, 3.72339780e+06f, 4.73116974e+06f, 6.03430539e+06f, 7.72576515e+06f, 9.92972861e+06f, + 1.28127257e+07f, 1.65989637e+07f, 2.15915179e+07f, 2.82017465e+07f, 3.69902945e+07f, 4.87244884e+07f, + 6.44590226e+07f, 8.56498776e+07f, 1.14315868e+08f, 1.53268759e+08f, 2.06442545e+08f, 2.79366798e+08f, + 3.79850300e+08f, 5.18973079e+08f, 7.12532948e+08f, 9.83165083e+08f, 1.36346329e+09f, 1.90059962e+09f, + 2.66319659e+09f, 3.75160395e+09f, 5.31334782e+09f, 7.56648043e+09f, 1.08350637e+10f, 1.56033907e+10f, + 2.25993074e+10f, 3.29229832e+10f, 4.82470799e+10f, 7.11297379e+10f, 1.05506900e+11f, 1.57471442e+11f, + 2.36513804e+11f, 3.57509889e+11f, 5.43926613e+11f, 8.33024431e+11f, 1.28435637e+12f, 1.99374510e+12f, + 3.11642465e+12f, 4.90561997e+12f, 7.77731247e+12f, 1.24197380e+13f, 1.99798484e+13f, 3.23831600e+13f, + 5.28864904e+13f, 8.70403770e+13f, 1.44377694e+14f, 2.41399528e+14f, 4.06896744e+14f, 6.91510621e+14f, + 1.18504970e+15f, 2.04811559e+15f, 3.57034809e+15f, 6.27861398e+15f, 1.11397125e+16f, 1.99435267e+16f, + 3.60337498e+16f, 6.57141972e+16f, 1.20980371e+17f, 2.24875057e+17f, 4.22089025e+17f, 8.00147402e+17f, + 1.53216987e+18f, 2.96403754e+18f, 5.79389087e+18f, 1.14455803e+19f, 2.28537992e+19f, }; + +__constant__ float* m_abscissas_float[8] = { + m_abscissas_float_1, + m_abscissas_float_2, + m_abscissas_float_3, + m_abscissas_float_4, + m_abscissas_float_5, + m_abscissas_float_6, + m_abscissas_float_7, + m_abscissas_float_8, +}; + +__constant__ float m_weights_float_1[9] = + { 1.79979618e-21f, 1.07218106e-07f, 7.05786060e-03f, 2.72310168e-01f, 1.18863515e+00f, 8.77655464e+00f, + 5.33879432e+02f, 5.98892409e+06f, 9.60751551e+16f, }; + +__constant__ float m_weights_float_2[8] = + { 7.59287827e-13f, 1.18886775e-04f, 7.27332179e-02f, 6.09156795e-01f, 2.71431234e+00f, 4.68800805e+01f, + 2.06437304e+04f, 4.85431236e+10f, }; + +__constant__ float m_weights_float_3[16] = + { 1.30963564e-16f, 6.14135316e-10f, 5.67743391e-06f, 1.21108690e-03f, 2.67259824e-02f, 1.54234107e-01f, + 4.23412860e-01f, 8.47913037e-01f, 1.73632925e+00f, 4.63203354e+00f, 1.88206826e+01f, 1.40643917e+02f, + 2.73736946e+03f, 2.55633252e+05f, 3.18438602e+08f, 2.86363931e+13f, }; + +__constant__ float m_weights_float_4[33] = + { 6.93769555e-19f, 1.31670336e-14f, 2.68107110e-11f, 9.60294960e-09f, 8.89417585e-07f, 2.87650015e-05f, + 4.10649371e-04f, 3.10797444e-03f, 1.43958814e-02f, 4.56980985e-02f, 1.08787148e-01f, 2.08910486e-01f, + 3.43887471e-01f, 5.11338439e-01f, 7.19769211e-01f, 1.00073403e+00f, 1.42660267e+00f, 2.14966467e+00f, + 3.50341221e+00f, 6.28632057e+00f, 1.26369961e+01f, 2.90949180e+01f, 7.91163114e+01f, 2.65103292e+02f, + 1.15872311e+03f, 7.11886439e+03f, 6.77324248e+04f, 1.13081650e+06f, 3.88995005e+07f, 3.38857764e+09f, + 9.74063570e+11f, 1.29789430e+15f, 1.24001927e+19f, }; + +__constant__ float m_weights_float_5[66] = + { 3.88541434e-20f, 1.03646493e-17f, 1.41388360e-15f, 1.06725054e-13f, 4.77908002e-12f, 1.34999345e-10f, + 2.53970414e-09f, 3.33804787e-08f, 3.19755978e-07f, 2.31724882e-06f, 1.31302324e-05f, 5.98917639e-05f, + 2.25650360e-04f, 7.18397083e-04f, 1.97196929e-03f, 4.75106406e-03f, 1.02072514e-02f, 1.98317011e-02f, + 3.52844239e-02f, 5.81350403e-02f, 8.95955146e-02f, 1.30335749e-01f, 1.80445384e-01f, 2.39557131e-01f, + 3.07102681e-01f, 3.82648608e-01f, 4.66260909e-01f, 5.58867257e-01f, 6.62616429e-01f, 7.81267733e-01f, + 9.20677638e-01f, 1.08949034e+00f, 1.30019425e+00f, 1.57079633e+00f, 1.92752387e+00f, 2.40924883e+00f, + 3.07485695e+00f, 4.01578082e+00f, 5.37784753e+00f, 7.40045071e+00f, 1.04890228e+01f, 1.53538346e+01f, + 2.32861156e+01f, 3.67307348e+01f, 6.05296516e+01f, 1.04761593e+02f, 1.91598840e+02f, 3.72918009e+02f, + 7.78738763e+02f, 1.76101294e+03f, 4.35837629e+03f, 1.19484066e+04f, 3.67841605e+04f, 1.29157756e+05f, + 5.26424122e+05f, 2.54082527e+06f, 1.48545930e+07f, 1.07925566e+08f, 1.00317513e+09f, 1.23283860e+10f, + 2.07922173e+11f, 5.01997049e+12f, 1.82006578e+14f, 1.04617001e+16f, 1.01373023e+18f, 1.77530238e+20f, }; + +__constant__ float m_weights_float_6[132] = + { 8.56958007e-21f, 1.68000718e-19f, 2.74008750e-18f, 3.75978801e-17f, 4.38589881e-16f, 4.39263787e-15f, + 3.81223973e-14f, 2.89198757e-13f, 1.93338859e-12f, 1.14783389e-11f, 6.09544349e-11f, 2.91499607e-10f, + 1.26339559e-09f, 4.99234840e-09f, 1.80872790e-08f, 6.03998541e-08f, 1.86829770e-07f, 5.37807971e-07f, + 1.44704121e-06f, 3.65421571e-06f, 8.69454276e-06f, 1.95621880e-05f, 4.17628758e-05f, 8.48713297e-05f, + 1.64680159e-04f, 3.05960283e-04f, 5.45748909e-04f, 9.36950301e-04f, 1.55189915e-03f, 2.48542560e-03f, + 3.85690505e-03f, 5.81079770e-03f, 8.51529070e-03f, 1.21588421e-02f, 1.69446644e-02f, 2.30834400e-02f, + 3.07847946e-02f, 4.02482241e-02f, 5.16542634e-02f, 6.51566792e-02f, 8.08763802e-02f, 9.88975757e-02f, + 1.19266512e-01f, 1.41992893e-01f, 1.67053901e-01f, 1.94400532e-01f, 2.23965873e-01f, 2.55674859e-01f, + 2.89455038e-01f, 3.25247905e-01f, 3.63020457e-01f, 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1.10132394e+03f, 1.21951707e+03f, 1.35219615e+03f, 1.50134197e+03f, 1.66923291e+03f, + 1.85849349e+03f, 2.07215152e+03f, 2.31370536e+03f, 2.58720328e+03f, 2.89733724e+03f, 3.24955383e+03f, + 3.65018587e+03f, 4.10660860e+03f, 4.62742547e+03f, 5.22268956e+03f, 5.90416786e+03f, 6.68565726e+03f, + 7.58336313e+03f, 8.61635357e+03f, 9.80710572e+03f, 1.11821637e+04f, 1.27729327e+04f, 1.46166396e+04f, + 1.67574960e+04f, 1.92481112e+04f, 2.21512104e+04f, 2.55417295e+04f, 2.95093735e+04f, 3.41617487e+04f, + 3.96282043e+04f, 4.60645561e+04f, 5.36589049e+04f, 6.26388223e+04f, 7.32802431e+04f, 8.59184957e+04f, + 1.00962017e+05f, 1.18909442e+05f, 1.40370957e+05f, 1.66095034e+05f, 1.97001996e+05f, 2.34226253e+05f, + 2.79169596e+05f, 3.33568603e+05f, 3.99580125e+05f, 4.79889989e+05f, 5.77851588e+05f, 6.97663062e+05f, + 8.44594440e+05f, 1.02527965e+06f, 1.24809298e+06f, 1.52363581e+06f, 1.86536786e+06f, 2.29042802e+06f, + 2.82070529e+06f, 3.48424008e+06f, 4.31706343e+06f, 5.36561882e+06f, 6.68996113e+06f, 8.36799594e+06f, + 1.05011160e+07f, 1.32217203e+07f, 1.67032788e+07f, 2.11738506e+07f, 2.69343047e+07f, 3.43829654e+07f, + 4.40490690e+07f, 5.66383460e+07f, 7.30953564e+07f, 9.46890531e+07f, 1.23130681e+08f, 1.60736861e+08f, + 2.10656057e+08f, 2.77184338e+08f, 3.66207397e+08f, 4.85821891e+08f, 6.47212479e+08f, 8.65895044e+08f, + 1.16348659e+09f, 1.57023596e+09f, 2.12865840e+09f, 2.89877917e+09f, 3.96573294e+09f, 5.45082863e+09f, + 7.52773593e+09f, 1.04462776e+10f, 1.45675716e+10f, 2.04161928e+10f, 2.87579864e+10f, 4.07167363e+10f, + 5.79499965e+10f, 8.29154750e+10f, 1.19276754e+11f, 1.72524570e+11f, 2.50933409e+11f, 3.67042596e+11f, + 5.39962441e+11f, 7.98985690e+11f, 1.18927611e+12f, 1.78088199e+12f, 2.68310388e+12f, 4.06753710e+12f, + 6.20525592e+12f, 9.52719664e+12f, 1.47228407e+13f, 2.29025392e+13f, 3.58662837e+13f, 5.65517100e+13f, + 8.97859411e+13f, 1.43556057e+14f, 2.31171020e+14f, 3.74966777e+14f, 6.12702071e+14f, 1.00868013e+15f, + 1.67323268e+15f, 2.79711270e+15f, 4.71267150e+15f, 8.00353033e+15f, 1.37027503e+16f, 2.36538022e+16f, + 4.11734705e+16f, 7.22793757e+16f, 1.27982244e+17f, 2.28603237e+17f, 4.11976277e+17f, 7.49169358e+17f, + 1.37488861e+18f, 2.54681529e+18f, 4.76248383e+18f, 8.99167123e+18f, 1.71428840e+19f, 3.30088717e+19f, + 6.42020070e+19f, 1.26155602e+20f, 2.50480806e+20f, 5.02601059e+20f, 1.01935525e+21f, }; + +__constant__ float* m_weights_float[8] = { + m_weights_float_1, + m_weights_float_2, + m_weights_float_3, + m_weights_float_4, + m_weights_float_5, + m_weights_float_6, + m_weights_float_7, + m_weights_float_8 +}; + +__constant__ double m_abscissas_double_1[13] = + { 7.241670621354483269e-163, 2.257639733856759198e-60, 1.153241619257215165e-22, 8.747691973876861825e-09, + 1.173446923800022477e-03, 1.032756936219208144e-01, 7.719261204224504866e-01, 4.355544675823585545e+00, + 1.215101039066652656e+02, 6.228845436711506169e+05, 6.278613977336989392e+15, 9.127414935180233465e+42, + 6.091127771174027909e+116, }; + +__constant__ double m_abscissas_double_2[12] = + { 4.547459836328942014e-99, 6.678756542928857080e-37, 5.005042973041566360e-14, 1.341318484151208960e-05, + 1.833875636365939263e-02, 3.257972971286326131e-01, 1.712014688483495078e+00, 1.613222549264089627e+01, + 3.116246745274236447e+03, 3.751603952020919663e+09, 1.132259067258797346e+26, 6.799257464097374238e+70, }; + +__constant__ double m_abscissas_double_3[25] = + { 5.314690663257815465e-127, 2.579830034615362946e-77, 3.534801062399966878e-47, 6.733941646704537777e-29, + 8.265803726974829043e-18, 4.424914371157762285e-11, 5.390411046738629465e-07, 1.649389713333761449e-04, + 5.463728936866216652e-03, 4.787896410534771955e-02, 1.931544616590306846e-01, 5.121421856617965197e-01, + 1.144715949265016019e+00, 2.648424684387670480e+00, 7.856804169938798917e+00, 3.944731803343517708e+01, + 5.060291993016831194e+02, 3.181117494063683297e+04, 2.820174654949211729e+07, 1.993745099515255184e+12, + 1.943469269499068563e+20, 2.858803732300638372e+33, 1.457292199029008637e+55, 8.943565831706355607e+90, + 9.016198369791554655e+149, }; + +__constant__ double m_abscissas_double_4[49] = + { 8.165631636299519857e-144, 3.658949309353149331e-112, 1.635242513882908826e-87, 2.578381184977746454e-68, + 2.305546416275824199e-53, 1.016725540031465162e-41, 1.191823622917539774e-32, 1.379018088205016509e-25, + 4.375640088826073184e-20, 8.438464631330991606e-16, 1.838483310261119782e-12, 7.334264181393092650e-10, + 7.804740587931068021e-08, 2.970395577741681504e-06, 5.081805431666579484e-05, 4.671401627620431498e-04, + 2.652347404231090523e-03, 1.037409202661683856e-02, 3.045225582205323946e-02, 7.178280364982721201e-02, + 1.434001065841990688e-01, 2.535640852949085796e-01, 4.113268917643175920e-01, 6.310260805648534613e-01, + 9.404706503455087817e-01, 1.396267301972783068e+00, 2.116896928689963277e+00, 3.364289290471596568e+00, + 5.770183960005836987e+00, 1.104863531218761752e+01, 2.460224479439805859e+01, 6.699316387888639988e+01, + 2.375794092475844708e+02, 1.188092202760116066e+03, 9.269848635975416108e+03, 1.283900116155671304e+05, + 3.723397798030112514e+06, 2.793667983952389721e+08, 7.112973790863854188e+10, 8.704037695808749572e+13, + 8.001474015782459984e+17, 9.804091819390540578e+22, 3.342777673392873288e+29, 8.160092668471508447e+37, + 4.798775331663586528e+48, 3.228614320248853938e+62, 1.836986041572136151e+80, 1.153145986877483804e+103, + 2.160972586723647751e+132, }; + +__constant__ double m_abscissas_double_5[98] = + { 4.825077401709435655e-153, 3.813781211050297560e-135, 2.377824349780240844e-119, 2.065817295388293122e-105, + 4.132105770181358886e-93, 2.963965169989404311e-82, 1.127296662046635391e-72, 3.210346399945695041e-64, + 9.282992368222161062e-57, 3.565977853916619677e-50, 2.306962519220473637e-44, 3.098751038516535098e-39, + 1.039558064722960891e-34, 1.025256027381235200e-30, 3.432612000569885403e-27, 4.429681881379089961e-24, + 2.464589267395236846e-21, 6.526691446363344923e-19, 8.976892324445928684e-17, 6.926277695183452225e-15, + 3.208805316815751272e-13, 9.478053068835988899e-12, 1.882052586691155400e-10, 2.632616062773909009e-09, + 2.703411837703917665e-08, 2.113642195965330965e-07, 1.299327029813074013e-06, 6.461189935136030673e-06, + 2.665090959570723827e-05, 9.322774986189288194e-05, 2.820463407940068813e-04, 7.508613300035051413e-04, + 1.786142185986551786e-03, 3.848376610765768211e-03, 7.600810651854199771e-03, 1.390873269178271700e-02, + 2.380489559528694982e-02, 3.842796337748997654e-02, 5.895012901671883992e-02, 8.651391160689367948e-02, + 1.221961347398101671e-01, 1.670112314557845555e-01, 2.219593619059930701e-01, 2.881200442770917241e-01, + 3.667906976948184315e-01, 4.596722879563388211e-01, 5.691113093602836208e-01, 6.984190600916228379e-01, + 8.523070690462583711e-01, 1.037505121571600249e+00, 1.263672635742961915e+00, 1.544788480334120896e+00, + 1.901333876886441433e+00, 2.363816272813317635e+00, 2.978614980117902904e+00, 3.817957977526709364e+00, + 4.997477803461245639e+00, 6.708150685706236545e+00, 9.276566033183386532e+00, 1.328332469239125539e+01, + 1.980618680552458639e+01, 3.094452809319702849e+01, 5.101378787119006225e+01, 8.943523638413590523e+01, + 1.682138665185088325e+02, 3.427988270281270587e+02, 7.653823671943767281e+02, 1.895993667030670343e+03, + 5.285404568827643942e+03, 1.684878049282191210e+04, 6.254388805482299369e+04, 2.759556544455721132e+05, + 1.481213238071008345e+06, 9.929728611179601424e+06, 8.564987764771851841e+07, 9.831650826344826952e+08, + 1.560339073978569502e+10, 3.575098885016726922e+11, 1.241973798101884982e+13, 6.915106205748805839e+14, + 6.571419716645131084e+16, 1.144558033138694099e+19, 3.960915669532823553e+21, 2.984410558028297842e+24, + 5.430494850258846715e+27, 2.683747612498502676e+31, 4.114885708325522701e+35, 2.276004816861421600e+40, + 5.387544917595833246e+45, 6.623575732955432303e+51, 5.266881304835239338e+58, 3.473234812654772210e+66, + 2.517492645985977377e+75, 2.759797646289240629e+85, 6.569603829502412077e+96, 5.116181648220647995e+109, + 2.073901892339407423e+124, 7.406462446666255838e+140, }; + +__constant__ double m_abscissas_double_6[196] = + { 7.053618140948655098e-158, 2.343354218558056628e-148, 2.062509087689351439e-139, 5.212388628332260488e-131, + 4.079380320868843387e-123, 1.061481285006738214e-115, 9.816727607793017691e-109, 3.435400719609722581e-102, + 4.825198574681495574e-96, 2.874760995089533358e-90, 7.652499977338879996e-85, 9.556944498127119032e-80, + 5.862241023038227937e-75, 1.843934000129616663e-70, 3.096983980846232911e-66, 2.885057452402340330e-62, + 1.544904681826443837e-58, 4.917572705671511534e-55, 9.602608566391652866e-52, 1.184882375237471009e-48, + 9.499223316355714793e-46, 5.078965858882528461e-43, 1.856080838373584123e-40, 4.744245560917271585e-38, + 8.667497891102658240e-36, 1.155086178652063612e-33, 1.144541329818836153e-31, 8.585083084065812874e-30, + 4.957702933032408922e-28, 2.239353794616277882e-26, 8.030405447708765492e-25, 2.318459271131684362e-23, + 5.460287296679086677e-22, 1.062054307071706375e-20, 1.725955878033239909e-19, 2.369168446274347137e-18, + 2.775176063916613602e-17, 2.800847352316621903e-16, 2.457625954357892245e-15, 1.890842052364646528e-14, + 1.285791209258834942e-13, 7.786001004707878219e-13, 4.228083024410741194e-12, 2.072664297543567489e-11, + 9.229295073519997559e-11, 3.754886152592311575e-10, 1.403443871774813834e-09, 4.843962757371872495e-09, + 1.551373196623161433e-08, 4.631448362339623514e-08, 1.294370176865168120e-07, 3.400050664017164356e-07, + 8.426290307581447654e-07, 1.977205177561996033e-06, 4.407362363338667830e-06, 9.362197325373404563e-06, + 1.900760383449277992e-05, 3.698530963711860636e-05, 6.915333419235766653e-05, 1.245492076251852927e-04, + 2.165764713808099093e-04, 3.643870211078977292e-04, 5.943999416122372516e-04, 9.418663022314558591e-04, + 1.452364274261880083e-03, 2.183094846035196562e-03, 3.203848855069215278e-03, 4.597532353031862490e-03, + 6.460168315117479792e-03, 8.900334989802041559e-03, 1.203804973137064275e-02, 1.600315622064554965e-02, + 2.093331703849583304e-02, 2.697174812170771748e-02, 3.426485378063329473e-02, 4.295992956149806344e-02, + 5.320309587203163231e-02, 6.513760993479510261e-02, 7.890268021756337834e-02, 9.463287940877026649e-02, + 1.124582226719385153e-01, 1.325049504086213973e-01, 1.548970316076579260e-01, 1.797583869192584860e-01, + 2.072158210677632145e-01, 2.374026527414815016e-01, 2.704630368855767324e-01, 3.065569893452247137e-01, + 3.458661469783558388e-01, 3.886003277325320632e-01, 4.350049951304795319e-01, 4.853697810067132707e-01, + 5.400382807495678589e-01, 5.994194092045578293e-01, 6.640006964388650918e-01, 7.343640159321037167e-01, + 8.112043806284638130e-01, 8.953526245122194172e-01, 9.878030224123093447e-01, 1.089747207002141516e+00, + 1.202616144679226559e+00, 1.328132465995424226e+00, 1.468376159872979355e+00, 1.625867601500928277e+00, + 1.803673186618691186e+00, 2.005540624723209206e+00, 2.236073393446881709e+00, 2.500957254018255004e+00, + 2.807256477663534857e+00, 3.163804128101147487e+00, 3.581720263742550029e+00, 4.075105576391566303e+00, + 4.661977749936137761e+00, 5.365546718714963091e+00, 6.215967676434536043e+00, 7.252774367330402583e+00, + 8.528291278204291331e+00, 1.011247001122720391e+01, 1.209982167952718578e+01, 1.461947158782994207e+01, + 1.784992423404041042e+01, 2.204102944968352178e+01, 2.754711235628932374e+01, 3.487766600641650640e+01, + 4.477610230214251576e+01, 5.834406132739843834e+01, 7.724096630394042216e+01, 1.040101075374387191e+02, + 1.426215523101601730e+02, 1.993940974645466479e+02, 2.845939167898235356e+02, 4.152683836292551147e+02, + 6.203878718481709769e+02, 9.504080873581791535e+02, 1.495523342124078853e+03, 2.421485328006836634e+03, + 4.041977218227396500e+03, 6.969453497454785202e+03, 1.244001690461442846e+04, 2.303794930506892099e+04, + 4.437240927040385250e+04, 8.911296561746717657e+04, 1.871159398849787994e+05, 4.119851492265743330e+05, + 9.540971729944126398e+05, 2.331680521880789706e+06, 6.034305391011695472e+06, 1.659896369452266448e+07, + 4.872448839341613053e+07, 1.532687586549090392e+08, 5.189730792935011722e+08, 1.900599621040508288e+09, + 7.566480431232731818e+09, 3.292298322781643849e+10, 1.574714421665075635e+11, 8.330244306239795892e+11, + 4.905619969814187571e+12, 3.238316002757222702e+13, 2.413995281454699076e+14, 2.048115587426077343e+15, + 1.994352670766892066e+16, 2.248750566422739144e+17, 2.964037541992353401e+18, 4.613233119968213445e+19, + 8.569680508342001161e+20, 1.921851711942844799e+22, 5.266829246099861758e+23, 1.786779952992288976e+25, + 7.607919705736976491e+26, 4.125721424346450007e+28, 2.894340142292214313e+30, 2.670720269656428272e+32, + 3.299248229135205151e+34, 5.560105583582310103e+36, 1.304167266599523020e+39, 4.349382146382717353e+41, + 2.109720387774341509e+44, 1.524825352702403324e+47, 1.684941265105084589e+50, 2.925572737558413426e+53, + 8.217834961057481281e+56, 3.852117991896536784e+60, 3.114452310394384063e+64, 4.498555465873245751e+68, + 1.205113215232800796e+73, 6.230864727145221322e+77, 6.487131248948465269e+82, 1.422810109167834249e+88, + 6.897656089181724717e+93, 7.779163462756485195e+99, 2.155213251859555072e+106, 1.554347160152705281e+113, + 3.103875072425192272e+120, 1.832673821557018634e+128, 3.431285951865278376e+136, 2.194542081542393530e+145, }; + +__constant__ double m_abscissas_double_7[393] = + { 2.363803632659058081e-160, 1.926835442612677686e-155, 1.109114905180506786e-150, 4.556759282087534164e-146, + 1.350172241067816232e-141, 2.914359263635229435e-137, 4.627545976953585825e-133, 5.456508344460398758e-129, + 4.821828861306345485e-125, 3.221779152402086241e-121, 1.641732102111619421e-117, 6.433569189921227126e-114, + 1.954582672700428961e-110, 4.639912078942456372e-107, 8.671928891742699827e-104, 1.285485264305858782e-100, + 1.522161801460927566e-97, 1.449767844425295085e-94, 1.118122255504445235e-91, 7.028344777398825069e-89, + 3.623454064991238081e-86, 1.541513438874996543e-83, 5.443699502170284982e-81, 1.604913673768949456e-78, + 3.972206240977317536e-76, 8.297975554162539562e-74, 1.470748835855054032e-71, 2.222935801472624670e-69, + 2.879160361851977720e-67, 3.210837413250902178e-65, 3.097303984958235490e-63, 2.595974479763180595e-61, + 1.898656799199089593e-59, 1.216865518398435626e-57, 6.862041810601184397e-56, 3.418134121780773218e-54, + 1.509758535747580387e-52, 5.934924977563731784e-51, 2.083865009061241099e-49, 6.558128104492290092e-48, + 1.856133016606468181e-46, 4.739964621828176249e-45, 1.095600459825324697e-43, 2.299177139060262518e-42, + 4.393663812095906869e-41, 7.667728102142858487e-40, 1.225476279042445010e-38, 1.798526997315960782e-37, + 2.430201154741018716e-36, 3.030993518975438712e-35, 3.497966609954172613e-34, 3.744308272796551045e-33, + 3.726132797819332658e-32, 3.455018936399215381e-31, 2.991524108706319604e-30, 2.423818520801870809e-29, + 1.841452809687011486e-28, 1.314419760826235421e-27, 8.831901010260867670e-27, 5.596660060604091621e-26, + 3.350745417080507841e-25, 1.898675566025820409e-24, 1.019982287418197376e-23, 5.203315082978366918e-23, + 2.524668746906057148e-22, 1.166904646009344233e-21, 5.145437675264868732e-21, 2.167677145279166596e-20, + 8.736996911006110678e-20, 3.373776431076593266e-19, 1.249769727462160008e-18, 4.446913832647864892e-18, + 1.521741180930875343e-17, 5.014158301377399707e-17, 1.592708205361177316e-16, 4.882536933653862982e-16, + 1.446109387544416586e-15, 4.142510168443201880e-15, 1.148892083132325407e-14, 3.088024760858924214e-14, + 8.051699653634442236e-14, 2.038478329249539199e-13, 5.015686309363884049e-13, 1.200444984849900298e-12, + 2.797125428309156462e-12, 6.350357793399881333e-12, 1.405881744263466936e-11, 3.037391821635123795e-11, + 6.408863411016101449e-11, 1.321618431565916164e-10, 2.665526566207284474e-10, 5.261497418654313068e-10, + 1.017123184766088896e-09, 1.926882221639203388e-09, 3.579523428497157488e-09, 6.524486847652635035e-09, + 1.167543991262942921e-08, 2.052356080018121741e-08, 3.545879678923676129e-08, 6.024472481556065885e-08, + 1.007076869023518125e-07, 1.657191565891799652e-07, 2.685718943404479677e-07, 4.288752213761154116e-07, + 6.751222405372943925e-07, 1.048111270324302884e-06, 1.605433960692314060e-06, 2.427271958412371013e-06, + 3.623770645356477660e-06, 5.344280132492750309e-06, 7.788767891027678939e-06, 1.122171160022519082e-05, + 1.598877254198599908e-05, 2.253652700952153115e-05, 3.143549403208496646e-05, 4.340664122305257288e-05, + 5.935147653125578529e-05, 8.038574285450253209e-05, 1.078766266062957565e-04, 1.434832731669987826e-04, + 1.892002753957224677e-04, 2.474036705329449166e-04, 3.208988510028906069e-04, 4.129696713145546995e-04, + 5.274279220384250390e-04, 6.686622480794640482e-04, 8.416855170641220285e-04, 1.052179598744440400e-03, + 1.306536501050643762e-03, 1.611894824798787196e-03, 1.976170547826080496e-03, 2.408081229927640721e-03, + 2.917162840577481875e-03, 3.513778549028205519e-03, 4.209118976964403112e-03, 5.015193592567630665e-03, + 5.944813116164644191e-03, 7.011563005746090924e-03, 8.229768289624073049e-03, 9.614450207543986041e-03, + 1.118127530523730813e-02, 1.294649779580742160e-02, 1.492689615029751590e-02, 1.713970500593860526e-02, + 1.960254358145296755e-02, 2.233334186285684056e-02, 2.535026586984720664e-02, 2.867164333232700310e-02, + 3.231589109997912964e-02, 3.630144557680610965e-02, 4.064669741956638109e-02, 4.536993166688766414e-02, + 5.048927437769432941e-02, 5.602264675683979161e-02, 6.198772763597769678e-02, 6.840192506222012774e-02, + 7.528235762939712171e-02, 8.264584606994605986e-02, 9.050891551257121825e-02, 9.888780870447738360e-02, + 1.077985103995250356e-01, 1.172567830270636607e-01, 1.272782136821146663e-01, 1.378782724173011162e-01, + 1.490723817714478840e-01, 1.608759974398061173e-01, 1.733046999768424060e-01, 1.863742974247175786e-01, + 2.001009387790379976e-01, 2.145012382381487190e-01, 2.295924102330349785e-01, 2.453924153016625057e-01, + 2.619201169541956490e-01, 2.791954497739298773e-01, 2.972395991130188526e-01, 3.160751928723792943e-01, + 3.357265060019327741e-01, 3.562196785212496373e-01, 3.775829480426418792e-01, 3.998468979800887046e-01, + 4.230447228497335035e-01, 4.472125123131631074e-01, 4.723895558858634018e-01, 4.986186705332947608e-01, + 5.259465537097384485e-01, 5.544241647649479754e-01, 5.841071380560416511e-01, 6.150562315632864018e-01, + 6.473378153258308278e-01, 6.810244045956889952e-01, 7.161952432654565143e-01, 7.529369438691556459e-01, + 7.913441913000366617e-01, 8.315205183502086596e-01, 8.735791622734589226e-01, 9.176440128265773576e-01, + 9.638506636817484398e-01, 1.012347580753402101e+00, 1.063297402882930381e+00, 1.116878392515788506e+00, + 1.173286056537125469e+00, 1.232734960362603918e+00, 1.295460761779549539e+00, 1.361722494981910846e+00, + 1.431805139837984876e+00, 1.506022516788234345e+00, 1.584720554029819354e+00, 1.668280980969603645e+00, + 1.757125510515793421e+00, 1.851720582866847453e+00, 1.952582755329533200e+00, 2.060284836698905963e+00, + 2.175462881275503983e+00, 2.298824177179966629e+00, 2.431156386859774759e+00, 2.573338025304717222e+00, + 2.726350494395667363e+00, 2.891291931102408784e+00, 3.069393174263124520e+00, 3.262036211067640944e+00, + 3.470775532153801919e+00, 3.697362905908153155e+00, 3.943776181224350319e+00, 4.212252847439515687e+00, + 4.505329225191826639e+00, 4.825886338442190807e+00, 5.177203733275742875e+00, 5.563022772612923373e+00, + 5.987621259260909859e+00, 6.455901637501497370e+00, 6.973495514195020291e+00, 7.546887847708181032e+00, + 8.183564906772872855e+00, 8.892191039842283431e+00, 9.682820467523296204e+00, 1.056715177903931837e+01, + 1.155883465937652851e+01, 1.267384070151528947e+01, 1.393091310389918289e+01, 1.535211379418177923e+01, + 1.696349128797309510e+01, 1.879589868990482198e+01, 2.088599907466058846e+01, 2.327750557804054323e+01, + 2.602271658731131093e+01, 2.918442338619305962e+01, 3.283828974258811174e+01, 3.707583192189045823e+01, + 4.200816575721451990e+01, 4.777073782243997224e+01, 5.452932468101429049e+01, 6.248767344468634478e+01, + 7.189727649240108469e+01, 8.306993427631743111e+01, 9.639397813652482031e+01, 1.123553215857374919e+02, + 1.315649140340119335e+02, 1.547947284376312334e+02, 1.830251850988715552e+02, 2.175079854175568113e+02, + 2.598498278995140400e+02, 3.121245867818556035e+02, 3.770245173783702458e+02, 4.580653020257635092e+02, + 5.598658426219653689e+02, 6.885324967857802403e+02, 8.521902266884453403e+02, 1.061721815114114004e+03, + 1.331803836529085656e+03, 1.682368940494210217e+03, 2.140685129891926443e+03, 2.744334847491432747e+03, + 3.545516659371773357e+03, 4.617306735234797694e+03, 6.062848530677391758e+03, 8.028955134017154634e+03, + 1.072641999277462936e+04, 1.446061873485939411e+04, 1.967804579389513789e+04, 2.703776201447279367e+04, + 3.752217148194723312e+04, 5.261052412010591097e+04, 7.455350923854624329e+04, 1.068125318497402759e+05, + 1.547702528541975911e+05, 2.268930751685412563e+05, 3.366554971645478061e+05, 5.057644049026088560e+05, + 7.696291826884134742e+05, 1.186761864945790800e+06, 1.855146094294667715e+06, 2.941132644236832276e+06, + 4.731169740596920355e+06, 7.725765147199987935e+06, 1.281272565991955126e+07, 2.159151785284808339e+07, + 3.699029448836502904e+07, 6.445902263727884020e+07, 1.143158678867853615e+08, 2.064425450996979446e+08, + 3.798502995329785506e+08, 7.125329484929003007e+08, 1.363463294023391629e+09, 2.663196590686555077e+09, + 5.313347815419462975e+09, 1.083506369700027396e+10, 2.259930737910197667e+10, 4.824707991473375387e+10, + 1.055069002818752104e+11, 2.365138040635727209e+11, 5.439266129959972285e+11, 1.284356371641026839e+12, + 3.116424654245920797e+12, 7.777312465656280419e+12, 1.997984843259596733e+13, 5.288649037339853118e+13, + 1.443776937640548342e+14, 4.068967444890414804e+14, 1.185049702391501141e+15, 3.570348091883284324e+15, + 1.113971254034978026e+16, 3.603374982229766184e+16, 1.209803708182151942e+17, 4.220890251904870611e+17, + 1.532169872312865862e+18, 5.793890867821715890e+18, 2.285379920879842924e+19, 9.415714369232187727e+19, + 4.057471211245170887e+20, 1.831405465804324767e+21, 8.671209773404504008e+21, 4.313209261217173994e+22, + 2.257498454242656934e+23, 1.245267136898199709e+24, 7.251536499435180219e+24, 4.465573963364524765e+25, + 2.913233420596266283e+26, 2.017063171206072979e+27, 1.485014353353330393e+28, 1.164811091759882662e+29, + 9.753661264047912784e+29, 8.737124417851167566e+30, 8.390503265508677363e+31, 8.657362701430272680e+32, + 9.619472292454361392e+33, 1.153735498483960294e+35, 1.497284701983562213e+36, 2.107816695320163748e+37, + 3.227106623185610745e+38, 5.387696372515021985e+39, 9.835496017627849225e+40, 1.968904749086105300e+42, + 4.334704147416758275e+43, 1.052717645113369473e+45, 2.829013521120326147e+46, 8.439656297525588822e+47, + 2.804279894508234869e+49, 1.041383695988523864e+51, 4.337366591019718310e+52, 2.033523569151676725e+54, + 1.077238847489773081e+56, 6.472891251891105455e+57, 4.429404678715878536e+59, 3.466135480828349864e+61, + 3.114928656972704276e+63, 3.228947925415990689e+65, 3.878402486902381042e+67, 5.423187597439531197e+69, + 8.870779393460412583e+71, 1.705832285076755970e+74, 3.876224350373120420e+76, 1.046359534886878004e+79, + 3.373858809560757544e+81, 1.306762499786044015e+84, 6.115300889685679832e+86, 3.478550048884517349e+89, + 2.420073578988056289e+92, 2.072453567501123129e+95, 2.199029867204449277e+98, 2.910868575802139983e+101, + 4.840699137490951163e+104, 1.018669397739170369e+108, 2.733025017438095928e+111, 9.420797277586029837e+114, + 4.205525105722885986e+118, 2.451352708852151939e+122, 1.881577053794165543e+126, 1.918506219134233785e+130, + 2.622069659115564900e+134, 4.848463485415763756e+138, 1.224645005481997780e+143, 4.267387286482591954e+147, + 2.072505613372582377e+152, }; + +__constant__ double m_abscissas_double_8[786] = + { 1.323228129684237783e-161, 4.129002973520822791e-159, 1.178655462569548882e-156, 3.082189008893206231e-154, + 7.393542832199414487e-152, 1.629100644355328639e-149, 3.301545529059822941e-147, 6.162031390854241227e-145, + 1.060528194470986309e-142, 1.685225757497235089e-140, 2.475534097582263629e-138, 3.365764749507587192e-136, + 4.240562683924022383e-134, 4.956794227885611715e-132, 5.381716367914161520e-130, 5.433507172294988849e-128, + 5.107031242794315420e-126, 4.473704932098646394e-124, 3.656376947377888629e-122, 2.791170022694259001e-120, + 1.992200238692415032e-118, 1.330894359393789718e-116, 8.330356767359890503e-115, 4.890256639970245146e-113, + 2.695128935451165447e-111, 1.395829605415630844e-109, 6.799997527188085942e-108, 3.119037767379032293e-106, + 1.348260131419216291e-104, 5.497526018943990804e-103, 2.116384670251198533e-101, 7.699148714858061209e-100, + 2.649065347250598345e-98, 8.628189263549727753e-97, 2.662520943248368922e-95, 7.790698623582886341e-94, + 2.163354866683077281e-92, 5.705576739797220361e-91, 1.430338193028564913e-89, 3.411040781372328747e-88, + 7.744268073516449037e-87, 1.675136564303435813e-85, 3.454795810595704816e-84, 6.798573137099477363e-83, + 1.277474708033782661e-81, 2.293702139426309483e-80, 3.938021700015175030e-79, 6.469593934876300124e-78, + 1.017725266990912471e-76, 1.534019529793324951e-75, 2.216999886838860916e-74, 3.074100747562803362e-73, + 4.092295330837549092e-72, 5.233434175636538471e-71, 6.433506079763357418e-70, 7.607042677901362161e-69, + 8.656714387163425357e-68, 9.486746058685489974e-67, 1.001756724248288397e-65, 1.019853943834854330e-64, + 1.001591106610665630e-63, 9.494277822444263952e-63, 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2.923672325162804598e+03, + 3.323136759290736047e+03, 3.784665511113575050e+03, 4.318971620160236406e+03, 4.938792274850918489e+03, + 5.659303058273368331e+03, 6.498623292476395004e+03, 7.478433875318933386e+03, 8.624734342286166238e+03, + 9.968772633484590145e+03, 1.154818959559393902e+04, 1.340843110702649390e+04, 1.560449453908580443e+04, + 1.820309391023133793e+04, 2.128535066649680777e+04, 2.495014598048375046e+04, 2.931830770482188047e+04, + 3.453785313845473397e+04, 4.079057084931056631e+04, 4.830030527863206410e+04, 5.734341246586992004e+04, + 6.826199159022146453e+04, 8.148067525594191464e+04, 9.752799507478730867e+04, 1.170636462204808295e+05, + 1.409133795481584143e+05, 1.701137853111825512e+05, 2.059699426710509940e+05, 2.501298539735692463e+05, + 3.046808435555379486e+05, 3.722747886360361411e+05, 4.562913164460176067e+05, 5.610511554921845541e+05, + 6.920959565810343691e+05, 8.565564972181198149e+05, 1.063638800552326000e+06, 1.325268101226286025e+06, + 1.656944841847240121e+06, 2.078886479301160156e+06, 2.617555920130068069e+06, 3.307714852226224955e+06, + 4.195192293202626259e+06, 5.340631300250745566e+06, 6.824578495767020734e+06, 8.754424053248831818e+06, + 1.127390159772263517e+07, 1.457614342739689625e+07, 1.892169326841938100e+07, 2.466345986800667442e+07, + 3.228142821711217588e+07, 4.243114571539869754e+07, 5.601173714434088431e+07, 7.426172509723072112e+07, + 9.889461357830121731e+07, 1.322915875470427182e+08, 1.777766240727455981e+08, 2.400110583389834263e+08, + 3.255621033641982742e+08, 4.437258820593761403e+08, 6.077246218504877165e+08, 8.364565879857375417e+08, + 1.157066594326456169e+09, 1.608740826498742961e+09, 2.248337657948688269e+09, 3.158785978851336228e+09, + 4.461677081363911380e+09, 6.336244831048209270e+09, 9.048130159588677560e+09, 1.299321362309972265e+10, + 1.876478261212947929e+10, 2.725703976712888971e+10, 3.982553459064288940e+10, 5.853727794017415415e+10, + 8.656299089553103385e+10, 1.287959733041898747e+11, 1.928345065430099883e+11, 2.905510467545806044e+11, + 4.406145488098485809e+11, 6.725708918778493152e+11, 1.033486938212196930e+12, 1.598840557086695854e+12, + 2.490490134218272825e+12, 3.906528466724583921e+12, 6.171225147961354244e+12, 9.819163736485109137e+12, + 1.573800106991564475e+13, 2.541245461530031221e+13, 4.134437628407981776e+13, 6.778141973485971528e+13, + 1.119906286595884492e+14, 1.865016806041768967e+14, 3.130890948724989738e+14, 5.298978847669068280e+14, + 9.042973899804181753e+14, 1.556259036818991439e+15, 2.701230066368200812e+15, 4.729430105054711279e+15, + 8.353779033096586530e+15, 1.488827606293191651e+16, 2.677653466031614956e+16, 4.860434481369499270e+16, + 8.905735519300993312e+16, 1.647413728306871552e+17, 3.077081325673016377e+17, 5.804234101329097680e+17, + 1.105828570628099614e+18, 2.128315358808074026e+18, 4.138651532085235581e+18, 8.132554212123920035e+18, + 1.615146503312570855e+19, 3.242548467260718193e+19, 6.581494581080701321e+19, 1.350831366183090003e+20, + 2.804093832520937396e+20, 5.888113683467563837e+20, 1.250923435312468276e+21, 2.689280279098215635e+21, + 5.851582825664479700e+21, 1.288917231788944660e+22, 2.874582763768997631e+22, 6.492437335109217869e+22, + 1.485286605867082177e+23, 3.442469159113307066e+23, 8.084930196860438207e+23, 1.924506778048094878e+24, + 4.643992662491470729e+24, 1.136281452083591334e+25, 2.819664891060694571e+25, 7.097781559991856367e+25, + 1.812838850127688486e+26, 4.699012851344539124e+26, 1.236419707162832951e+27, 3.303236261210411286e+27, + 8.962558097638891218e+27, 2.470294852986226117e+28, 6.918270960555942883e+28, 1.969189447958411510e+29, + 5.698092609453981289e+29, 1.676626156396922084e+30, 5.017901520171556970e+30, 1.527929892279834489e+31, + 4.734762318366711949e+31, 1.493572546446777040e+32, 4.797441164681908184e+32, 1.569538296400998732e+33, + 5.231651156910242454e+33, 1.777206511525290941e+34, 6.154587299576916134e+34, 2.173469781356604872e+35, + 7.829529896526581616e+35, 2.877935554073076917e+36, 1.079761320923458592e+37, 4.136337730951207042e+37, + 1.618408489711185844e+38, 6.469770640447824771e+38, 2.643413654859316358e+39, 1.104246728308525703e+40, + 4.717842641881260665e+40, 2.062296462389327711e+41, 9.226680005161257219e+41, 4.226544071632731963e+42, + 1.983043729707066518e+43, 9.533448690970155039e+43, 4.697914578740208606e+44, 2.373923101980436574e+45, + 1.230570211868531753e+46, 6.546344338411695147e+46, 3.575371819335804914e+47, 2.005642453538335506e+48, + 1.156055268028903078e+49, 6.849867807870312958e+49, 4.174004815218951121e+50, 2.616872034052857472e+51, + 1.688750346837297725e+52, 1.122275666009684101e+53, 7.683968740248677071e+53, 5.422849612654278583e+54, + 3.946686701799533415e+55, 2.963543587288132884e+56, 2.297086395798939516e+57, 1.838856414208555761e+58, + 1.521049475711243996e+59, 1.300732291175071112e+60, 1.150559591141716740e+61, 1.053265997373725461e+62, + 9.984114209879020836e+62, 9.805325615938694719e+63, 9.982463564199115995e+64, 1.054102211457911410e+66, + 1.155172684780782463e+67, 1.314571302334116663e+68, 1.554362407685457310e+69, 1.910791206002645077e+70, + 2.443616403890711206e+71, 3.252983822318823232e+72, 4.510600140020139737e+73, 6.518821831001902447e+74, + 9.825834460774267633e+75, 1.545692063622722856e+77, 2.539346088408163253e+78, 4.359763993811836117e+79, + 7.827943627464404744e+80, 1.470896877674301183e+82, 2.894527071420674290e+83, 5.969662541607915492e+84, + 1.291277613981057357e+86, 2.931656535626877923e+87, 6.991353547531463135e+88, 1.752671194525972852e+90, + 4.622450137056020715e+91, 1.283581933169566226e+93, 3.755839001138390788e+94, 1.158991729845978702e+96, + 3.774916315438862678e+97, 1.298844894462381673e+99, 4.725038949943384889e+100, 1.819000031203286740e+102, + 7.416966330876906188e+103, 3.206116996910598204e+105, 1.470588770071975193e+107, 7.164198238238641057e+108, + 3.710397624567077270e+110, 2.044882454279709373e+112, 1.200428778654730225e+114, 7.513744370030172114e+115, + 5.019575746343410636e+117, 3.582726927665698318e+119, 2.734947775877248560e+121, 2.235283764078944248e+123, + 1.958084751118243323e+125, 1.840431913109305657e+127, 1.858143260692831108e+129, 2.017432949655777136e+131, + 2.358177615888101494e+133, 2.971092974178603610e+135, 4.039532321435816302e+137, 5.933923069661132195e+139, + 9.429263693444953240e+141, 1.622841456932873872e+144, 3.028884476067694180e+146, 6.138356175015339477e+148, + 1.352531557191942648e+151, 3.244447362295582945e+153, }; + +__constant__ double* m_abscissas_double[8] = { + m_abscissas_double_1, + m_abscissas_double_2, + m_abscissas_double_3, + m_abscissas_double_4, + m_abscissas_double_5, + m_abscissas_double_6, + m_abscissas_double_7, + m_abscissas_double_8, +}; + +__constant__ double m_weights_double_1[13] = + { 2.703640234162693583e-160, 3.100862940179668765e-58, 5.828334625665462970e-21, 1.628894422402653830e-07, + 8.129907377394029252e-03, 2.851214447180802931e-01, 1.228894002317118650e+00, 9.374610761705565881e+00, + 6.136846875218162167e+02, 8.367995944653844271e+06, 2.286032371256753845e+17, 9.029964022492184559e+44, + 1.637973037681055808e+119, }; + +__constant__ double m_weights_double_2[12] = + { 1.029757744225565290e-96, 5.564174008086804112e-35, 1.534846576427062716e-12, 1.519539651119905182e-04, + 7.878691652861874032e-02, 6.288072016384128612e-01, 2.842403831496369386e+00, 5.152309209026500589e+01, + 2.554172947873109927e+04, 8.291547503290989754e+10, 6.794911791960761587e+27, 1.108995159102362663e+73, }; + +__constant__ double m_weights_double_3[25] = + { 1.545310485347377408e-124, 4.549745016271158113e-75, 3.781189989988588481e-45, 4.369440793304363176e-27, + 3.253896178006708087e-16, 1.057239289288944987e-09, 7.826174663495492476e-06, 1.459783224353939263e-03, + 2.972970552567852420e-02, 1.637950661613330541e-01, 4.392303913269138921e-01, 8.744243777287317807e-01, + 1.804759465860974506e+00, 4.894937215283148383e+00, 2.036214502429748943e+01, 1.576549789679037479e+02, + 3.249553828744194733e+03, 3.335686029489862584e+05, 4.858218914917275532e+08, 5.655171002571584464e+13, + 9.084276291356790926e+21, 2.202757570781655071e+35, 1.851176020895552142e+57, 1.873046373612647920e+93, + 3.113183070605141140e+152, }; + +__constant__ double m_weights_double_4[49] = + { 2.690380169654157101e-141, 9.388760099830475385e-110, 3.267856956418766261e-85, 4.012903562780032075e-66, + 2.794595941054873674e-51, 9.598140333687791635e-40, 8.762766371925782803e-31, 7.896919977115783593e-24, + 1.951680620313826776e-18, 2.931867534349928041e-14, 4.976350908135118762e-11, 1.546933241860617074e-08, + 1.283189791774752963e-06, 3.809052946018782340e-05, 5.087526585392884730e-04, 3.656819625189471368e-03, + 1.627679402690602992e-02, 5.011672130624018967e-02, 1.165913368715250324e-01, 2.201514148384271336e-01, + 3.581909054968942386e-01, 5.288599003801643436e-01, 7.422823219366348741e-01, 1.032914080772662205e+00, + 1.478415067523268199e+00, 2.242226697017918644e+00, 3.684755742578570582e+00, 6.677326887819023056e+00, + 1.358063058433697357e+01, 3.171262375809110066e+01, 8.776338468947827779e+01, 3.006939713363920293e+02, + 1.352196150715330628e+03, 8.616353573310419356e+03, 8.591849573350877359e+04, 1.523635814554291966e+06, + 5.663834603448267056e+07, 5.450828629396188577e+09, 1.780881993484818221e+12, 2.797112703281894578e+15, + 3.300887168363313931e+19, 5.192538272313512016e+24, 2.273085973059979872e+31, 7.124498195222272142e+39, + 5.379592741425673874e+50, 4.647296508337283075e+64, 3.395147156494395571e+82, 2.736576372417856435e+105, + 6.584825756536212781e+134, }; + +__constant__ double m_weights_double_5[98] = + { 1.692276285171240629e-150, 1.180420021590838281e-132, 6.494931071412232065e-117, 4.979673804239645358e-103, + 8.790122245397054202e-91, 5.564311726870413043e-80, 1.867634664877268411e-70, 4.693767384843440310e-62, + 1.197772698674604837e-54, 4.060530886983702887e-48, 2.318268710612758367e-42, 2.748088060676949794e-37, + 8.136086869664039226e-33, 7.081491999860360593e-29, 2.092407629019781417e-25, 2.383020547076997517e-22, + 1.170143938604536054e-19, 2.734857915002515580e-17, 3.319894174569245506e-15, 2.260825106530477104e-13, + 9.244747974241858562e-12, 2.410325858091057071e-10, 4.224928060220423782e-09, 5.217223349652829804e-08, + 4.730110697329046717e-07, 3.265522864288710545e-06, 1.772851678458610971e-05, 7.787346612077215804e-05, + 2.838101678971546354e-04, 8.775026198694109646e-04, 2.347474744139291716e-03, 5.529174974874315725e-03, + 1.164520226280038968e-02, 2.223487842904240574e-02, 3.896253311038730452e-02, 6.334975706136386464e-02, + 9.651712033300261848e-02, 1.390236708907266445e-01, 1.908593745910709887e-01, 2.515965688234414960e-01, + 3.206651646562737595e-01, 3.976974208167367099e-01, 4.828935799767836828e-01, 5.773826389735376677e-01, + 6.835838865575605461e-01, 8.056083579298257627e-01, 9.497742078309479997e-01, 1.125351459431134254e+00, + 1.345711576612114788e+00, 1.630156867495860456e+00, 2.006880650908830857e+00, 2.517828844916874130e+00, + 3.226826819856410846e+00, 4.233461155863004269e+00, 5.697400323487776530e+00, 7.882247346334201378e+00, + 1.123717929435969530e+01, 1.655437952523069781e+01, 2.528458931361129124e+01, 4.019700050163276117e+01, + 6.682515670231120695e+01, 1.168022589948424530e+02, 2.160045684819153702e+02, 4.257255901158116698e+02, + 9.017180693982791021e+02, 2.072151523320542727e+03, 5.222689557952776194e+03, 1.461663959276604441e+04, + 4.606455611513396576e+04, 1.660950339384278845e+05, 6.976630616605097333e+05, 3.484240083705972727e+06, + 2.117385064786894718e+07, 1.607368605379557548e+08, 1.570235957877638143e+09, 2.041619284762317483e+10, + 3.670425964529826371e+11, 9.527196643411724126e+12, 3.749667772735766186e+14, 2.365380223523087981e+16, + 2.546815287226970627e+18, 5.026010591299970789e+20, 1.970775914722195502e+23, 1.682531038342715298e+26, + 3.469062187981719410e+29, 1.942614547946028081e+33, 3.375034694941022784e+37, 2.115298406181711256e+42, + 5.673738540911562268e+47, 7.904099301170483654e+53, 7.121903115084356741e+60, 5.321820777644930491e+68, + 4.370977753639010591e+77, 5.429657931755513797e+87, 1.464602226824232950e+99, 1.292445035662836561e+112, + 5.936633203060705474e+126, 2.402419924621336913e+143, }; + +__constant__ double m_weights_double_6[196] = + { 2.552410363565288863e-155, 7.965872719315690060e-146, 6.586401422963018216e-137, 1.563673437419490296e-128, + 1.149636272392214573e-120, 2.810189759625314580e-113, 2.441446149780773329e-106, 8.026292508555041710e-100, + 1.059034284623927886e-93, 5.927259046205893861e-88, 1.482220909125121967e-82, 1.738946448501809732e-77, + 1.002047910184021813e-72, 2.960929073720769637e-68, 4.671749731809402860e-64, 4.088398674807775827e-60, + 2.056642628601930023e-56, 6.149878578966749305e-53, 1.128142221531950274e-49, 1.307702777646013040e-46, + 9.848757125541659318e-44, 4.946847667192787369e-41, 1.698284656321589089e-38, 4.077947349805764486e-36, + 6.998897321243266048e-34, 8.762183229651405846e-32, 8.156281709801700633e-30, 5.747366069381804213e-28, + 3.117951907317865517e-26, 1.323052992594482858e-24, 4.457166057119926322e-23, 1.208896132634708032e-21, + 2.674697849739340358e-20, 4.887394807742436672e-19, 7.461632083041868391e-18, 9.622230748739818989e-17, + 1.058884510032627118e-15, 1.003988180288807180e-14, 8.276358838778374127e-14, 5.982281469656734375e-13, + 3.821855766886203088e-12, 2.174279097299082001e-11, 1.109294120074848583e-10, 5.109055596902086022e-10, + 2.137447956882816268e-09, 8.170468538364022161e-09, 2.869308592926374871e-08, 9.305185930419436742e-08, + 2.800231592227134982e-07, 7.855263634214717091e-07, 2.062924236714395731e-06, 5.092224131071637441e-06, + 1.185972357373608535e-05, 2.615333473470835518e-05, 5.479175746096322166e-05, 1.093962713107868416e-04, + 2.087714243290528595e-04, 3.818797556417767457e-04, 6.712796918790164790e-04, 1.136760145626956604e-03, + 1.858775505765622915e-03, 2.941191222579735746e-03, 4.512821350378020080e-03, 6.727293426938802892e-03, + 9.760915371480980900e-03, 1.380842853102550981e-02, 1.907678055354397196e-02, 2.577730275571060412e-02, + 3.411688991056810143e-02, 4.428892397843486143e-02, 5.646473816310556552e-02, 7.078637998740884103e-02, + 8.736131246718460273e-02, 1.062595125372295046e-01, 1.275132133780278017e-01, 1.511193209351630349e-01, + 1.770443400812491404e-01, 2.052314915777496186e-01, 2.356095985715091716e-01, 2.681032744853198083e-01, + 3.026439500331752405e-01, 3.391813282438962329e-01, 3.776949427111484449e-01, 4.182056049753837852e-01, + 4.607866519948383101e-01, 5.055750360563806155e-01, 5.527824318481410262e-01, 6.027066663808878454e-01, + 6.557439076684384801e-01, 7.124021812071310501e-01, 7.733169258916167748e-01, 8.392694625821144443e-01, + 9.112094418201526544e-01, 9.902825786957198607e-01, 1.077865293953107863e+00, 1.175608288920191064e+00, + 1.285491624542001346e+00, 1.409894601042286311e+00, 1.551684711657329886e+00, 1.714331263928885829e+00, + 1.902051053858215699e+00, 2.119995922515087770e+00, 2.374495377438728901e+00, 2.673372087884984440e+00, + 3.026354489757871517e+00, 3.445619726158519068e+00, 3.946512819227006419e+00, 4.548505964859933724e+00, + 5.276487613615791435e+00, 6.162508226184798743e+00, 7.248163842886806184e+00, 8.587878410768473380e+00, + 1.025346434903602082e+01, 1.234051869120733230e+01, 1.497748183201988157e+01, 1.833859935862139637e+01, + 2.266266859437541631e+01, 2.828045768298752298e+01, 3.565528397044830339e+01, 4.544381261232990127e+01, + 5.858833744254070379e+01, 7.645876087681923606e+01, 1.010741758687003802e+02, 1.354538987141142977e+02, + 1.841824059064608872e+02, 2.543337025162468240e+02, 3.570103970895535977e+02, 5.099537256432247190e+02, + 7.420561390174965949e+02, 1.101323941193719451e+03, 1.669232910686306616e+03, 2.587203282090385703e+03, + 4.106608602134535014e+03, 6.685657263550896700e+03, 1.118216368762133982e+04, 1.924811115485038079e+04, + 3.416174865734933127e+04, 6.263882227839496242e+04, 1.189094418952240294e+05, 2.342262528110389793e+05, + 4.798899889628646876e+05, 1.025279649144740527e+06, 2.290428015483177407e+06, 5.365618820221241118e+06, + 1.322172034826883742e+07, 3.438296542047893623e+07, 9.468905314460992170e+07, 2.771843378168242512e+08, + 8.658950437199969679e+08, 2.898779165825890846e+09, 1.044627762990198184e+10, 4.071673625087267154e+10, + 1.725245696783106160e+11, 7.989856904303845909e+11, 4.067537100664303783e+12, 2.290253922913114847e+13, + 1.435560574531699914e+14, 1.008680130601194048e+15, 8.003530334765274913e+15, 7.227937568629809266e+16, + 7.491693576707361828e+17, 8.991671234614216799e+18, 1.261556024888540618e+20, 2.090038400033346091e+21, + 4.132773073376509056e+22, 9.865671928781943336e+23, 2.877978132616007671e+25, 1.039303004928044064e+27, + 4.710544722984128252e+28, 2.719194692980296464e+30, 2.030608169419634520e+32, 1.994536427964099457e+34, + 2.622806931876485852e+36, 4.705142628855489738e+38, 1.174794916996875010e+41, 4.170574236544843559e+43, + 2.153441953645800917e+46, 1.656794933445123415e+49, 1.948830907651317326e+52, 3.601980393005358786e+55, + 1.077033440153993124e+59, 5.374188883861674378e+62, 4.625267105826449467e+66, 7.111646979020385006e+70, + 2.027996051444846521e+75, 1.116168784120367146e+80, 1.237019821283735086e+85, 2.888108172342166477e+90, + 1.490426937972460544e+96, 1.789306677271856318e+102, 5.276973875344766848e+108, 4.051217867886536330e+115, + 8.611617868168979525e+122, 5.412634353380155695e+130, 1.078756609821147465e+139, 7.344353246966125053e+147, }; + +__constant__ double m_weights_double_7[393] = + { 8.688318611421924613e-158, 6.864317997043424201e-153, 3.829638174036322920e-148, 1.524985558970066863e-143, + 4.379527631402474835e-139, 9.162408388991747001e-135, 1.410086556664696347e-130, 1.611529786006329005e-126, + 1.380269212504431613e-122, 8.938739565456142404e-119, 4.414803004265274778e-115, 1.676831992534574674e-111, + 4.937648515671545377e-108, 1.136068312653058895e-104, 2.057969760853201132e-101, 2.956779836249922681e-98, + 3.393449014375824853e-95, 3.132619285740674842e-92, 2.341677665639346254e-89, 1.426656997926173190e-86, + 7.128825597334931865e-84, 2.939485275517928205e-81, 1.006113300119903410e-78, 2.874969402023240560e-76, + 6.896713338909433222e-74, 1.396405038640012785e-71, 2.398869799873387326e-69, 3.514180228970525006e-67, + 4.411557600438730779e-65, 4.768408435763044172e-63, 4.458287229998440383e-61, 3.621710763086768959e-59, + 2.567373174003034094e-57, 1.594829856885795944e-55, 8.716746897177859412e-54, 4.208424534880021226e-52, + 1.801637343401221381e-50, 6.864432292330768862e-49, 2.336084584516383243e-47, 7.125716658075193173e-46, + 1.954733295862350631e-44, 4.838195020814970471e-43, 1.083903033389729471e-41, 2.204655424309513426e-40, + 4.083431629921110537e-39, 6.907095608064865023e-38, 1.069951518082577963e-36, 1.521972185061747284e-35, + 1.993254198127980161e-34, 2.409552194902670884e-33, 2.695243589253751811e-32, 2.796309045342585624e-31, + 2.697138787161831243e-30, 2.423968619042656074e-29, 2.034233848004972409e-28, 1.597498662808006882e-27, + 1.176341105034547043e-26, 8.138404856556384931e-26, 5.300199402716282910e-25, 3.255367628680633536e-24, + 1.889060856810273071e-23, 1.037502167741821871e-22, 5.402129194695882094e-22, 2.671080147950250592e-21, + 1.256163163817414397e-20, 5.627458451375099018e-20, 2.405110192151924414e-19, 9.820723025892385774e-19, + 3.836610965933493002e-18, 1.435949417965440387e-17, 5.155736116435221852e-17, 1.778106820243535736e-16, + 5.897650538103448384e-16, 1.883545377386949394e-15, 5.799022727889041128e-15, 1.723080101027408120e-14, + 4.946559668895564981e-14, 1.373437058883951037e-13, 3.692057356296675476e-13, 9.618669754374864080e-13, + 2.430904641718059201e-12, 5.965319652795549281e-12, 1.422677541958913512e-11, 3.300412010407028696e-11, + 7.453993539444124847e-11, 1.640317480539372495e-10, 3.519919455549922227e-10, 7.371241496931924727e-10, + 1.507573517782825692e-09, 3.013444008176544118e-09, 5.891170930525923854e-09, 1.127175867596519203e-08, + 2.112135943063526334e-08, 3.878572405868819131e-08, 6.984140168311147329e-08, 1.233979234102365865e-07, + 2.140481233406505212e-07, 3.647293211756793211e-07, 6.108366265875129839e-07, 1.006020283089617901e-06, + 1.630199379920459998e-06, 2.600430208375972125e-06, 4.085372746054298735e-06, 6.324194831966406940e-06, + 9.650830226718535837e-06, 1.452455211307694488e-05, 2.156782506321975658e-05, 3.161234361554654466e-05, + 4.575404320696170555e-05, 6.541767069965264068e-05, 9.243122234114186712e-05, 1.291101968446571125e-04, + 1.783511762821284409e-04, 2.437337497712608884e-04, 3.296292528289701234e-04, 4.413142327104518440e-04, + 5.850859955683163216e-04, 7.683770763700705263e-04, 9.998650298180469208e-04, 1.289573601590465490e-03, + 1.648961132392222413e-03, 2.090991995585424661e-03, 2.630186988492201910e-03, 3.282648895332118799e-03, + 4.066059914467245175e-03, 4.999648283080481820e-03, 6.104122218554241819e-03, 7.401570199659662364e-03, + 8.915327597805008451e-03, 1.066981070009509413e-02, 1.269032020049755525e-02, 1.500281723149735994e-02, + 1.763367592672867332e-02, 2.060941730962251417e-02, 2.395642996410886880e-02, 2.770068343772389725e-02, + 3.186744063963193757e-02, 3.648097561865623097e-02, 4.156430303997019336e-02, 4.713892543167989540e-02, + 5.322460385886412684e-02, 5.983915712308283792e-02, 6.699829390463281224e-02, 7.471548149065050122e-02, + 8.300185389391494996e-02, 9.186616129460712899e-02, 1.013147618591979452e-01, 1.113516561340355690e-01, + 1.219785634003157786e-01, 1.331950386328042665e-01, 1.449986280439946752e-01, 1.573850606313672716e-01, + 1.703484726870446791e-01, 1.838816618814874884e-01, 1.979763672973498048e-01, 2.126235716643688402e-01, + 2.278138220265254991e-01, 2.435375651517067386e-01, 2.597854941629632707e-01, 2.765489031191654411e-01, + 2.938200465906351752e-01, 3.115925016510994851e-01, 3.298615301301230823e-01, 3.486244394295739435e-01, + 3.678809406939879716e-01, 3.876335036292959599e-01, 4.078877077798518471e-01, 4.286525905940105684e-01, + 4.499409931290513174e-01, 4.717699047639316286e-01, 4.941608088016098926e-01, 5.171400313514193966e-01, + 5.407390963876342256e-01, 5.649950903858123945e-01, 5.899510404480374918e-01, 6.156563103475134535e-01, + 6.421670194591982411e-01, 6.695464901047961714e-01, 6.978657294374126896e-01, 7.272039526349696447e-01, + 7.576491548751669105e-01, 7.892987403432202489e-01, 8.222602173936578230e-01, 8.566519699682320391e-01, + 8.926041164852169437e-01, 9.302594686857616145e-01, 9.697746043788558519e-01, 1.011321069700320644e+00, + 1.055086728430498711e+00, 1.101277278143300224e+00, 1.150117955536247302e+00, 1.201855456275760449e+00, + 1.256760098152647779e+00, 1.315128260359919236e+00, 1.377285136373095709e+00, 1.443587843343442141e+00, + 1.514428937238563465e+00, 1.590240390338335337e+00, 1.671498096302065311e+00, 1.758726978084942299e+00, + 1.852506785760205887e+00, 1.953478685110838140e+00, 2.062352754065132708e+00, 2.179916523112736371e+00, + 2.307044718290330681e+00, 2.444710391817196957e+00, 2.593997656772008968e+00, 2.756116279277535182e+00, + 2.932418425642610903e+00, 3.124417914187536020e+00, 3.333812383735923205e+00, 3.562508865047068391e+00, + 3.812653330296280988e+00, 4.086664902155689132e+00, 4.387275531849634155e+00, 4.717576109385405085e+00, + 5.081070154695596855e+00, 5.481736462718817995e+00, 5.924102347216244340e+00, 6.413329458204850426e+00, + 6.955314549766230740e+00, 7.556808065486941215e+00, 8.225554008952760095e+00, 8.970455302965185036e+00, + 9.801769746699598466e+00, 1.073134279679936208e+01, 1.177288477943655549e+01, 1.294230185297226511e+01, + 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m_weights_double_7, + m_weights_double_8 +}; + +__constant__ boost::math::size_t float_coefficients_size[8] = {9, 8, 16, 33, 66, 132, 263, 527}; + +__constant__ boost::math::size_t double_coefficients_size[8] = {13, 12, 25, 49, 98, 196, 393, 786}; + +template<typename T> +struct coefficients_selector; + +template<> +struct coefficients_selector<float> +{ + __device__ static const auto abscissas() { return m_abscissas_float; } + __device__ static const auto weights() { return m_weights_float; } + __device__ static const auto size() { return float_coefficients_size; } +}; + +template<> +struct coefficients_selector<double> +{ + __device__ static const auto abscissas() { return m_abscissas_double; } + __device__ static const auto weights() { return m_weights_double; } + __device__ static const auto size() { return double_coefficients_size; } +}; + + +template <typename F, typename Real, typename Policy = policies::policy<> > +__device__ auto exp_sinh_integrate_impl(const F& f, Real tolerance, Real* error, Real* L1, boost::math::size_t* levels) +{ + using K = decltype(f(static_cast<Real>(0))); + using boost::math::constants::half; + using boost::math::constants::half_pi; + + // This provided a nice error message for real valued integrals, but it's super awkward for complex-valued integrals: + /*K y_max = f(tools::max_value<Real>()); + if(abs(y_max) > tools::epsilon<Real>() || !(boost::math::isfinite)(y_max)) + { + K val = abs(y_max); + return static_cast<K>(policies::raise_domain_error(function, "The function you are trying to integrate does not go to zero at infinity, and instead evaluates to %1%", val, Policy())); + }*/ + + //std::cout << std::setprecision(5*std::numeric_limits<Real>::digits10); + + // Get the party started with two estimates of the integral: + const auto m_abscissas = coefficients_selector<Real>::abscissas(); + const auto m_weights = coefficients_selector<Real>::weights(); + const auto m_size = coefficients_selector<Real>::size(); + + Real min_abscissa{ 0 }, max_abscissa{ boost::math::tools::max_value<Real>() }; + K I0 = 0; + Real L1_I0 = 0; + for(boost::math::size_t i = 0; i < m_size[0]; ++i) + { + K y = f(m_abscissas[0][i]); + K I0_last = I0; + I0 += y*m_weights[0][i]; + L1_I0 += abs(y)*m_weights[0][i]; + if ((I0_last == I0) && (abs(I0) != 0)) + { + max_abscissa = m_abscissas[0][i]; + break; + } + } + + //std::cout << "First estimate : " << I0 << std::endl; + K I1 = I0; + Real L1_I1 = L1_I0; + bool have_first_j = false; + boost::math::size_t first_j = 0; + for (boost::math::size_t i = 0; (i < m_size[1]) && (m_abscissas[1][i] < max_abscissa); ++i) + { + K y = f(m_abscissas[1][i]); + K I1_last = I1; + I1 += y*m_weights[1][i]; + L1_I1 += abs(y)*m_weights[1][i]; + if (!have_first_j && (I1_last == I1)) + { + // No change to the sum, disregard these values on the LHS: + if ((i < m_size[1] - 1) && (m_abscissas[1][i + 1] > max_abscissa)) + { + // The summit is so high, that we found nothing in this row which added to the integral!! + have_first_j = true; + } + else + { + min_abscissa = m_abscissas[1][i]; + first_j = i; + } + } + else + { + have_first_j = true; + } + } + + if (I0 == static_cast<Real>(0)) + { + // We failed to find anything, is the integral zero, or have we just not found it yet? + // We'll try one more level, if that still finds nothing then it'll terminate. + min_abscissa = 0; + max_abscissa = boost::math::tools::max_value<Real>(); + } + + I1 *= half<Real>(); + L1_I1 *= half<Real>(); + Real err = abs(I0 - I1); + //std::cout << "Second estimate: " << I1 << " Error estimate at level " << 1 << " = " << err << std::endl; + + boost::math::size_t i = 2; + for(; i < 8U; ++i) // Magic number 8 is the number of precomputed levels + { + I0 = I1; + L1_I0 = L1_I1; + + I1 = half<Real>()*I0; + L1_I1 = half<Real>()*L1_I0; + Real h = static_cast<Real>(1)/static_cast<Real>(1 << i); + K sum = 0; + Real absum = 0; + + auto& abscissas_row = m_abscissas[i]; + auto& weight_row = m_weights[i]; + + // appoximate location to start looking for lowest meaningful abscissa value + first_j = first_j == 0 ? 0 : 2 * first_j - 1; + + boost::math::size_t j = first_j; + while (abscissas_row[j] < min_abscissa) + { + ++j; + } + + for(; (j < m_size[i]) && (abscissas_row[j] < max_abscissa); ++j) + { + Real x = abscissas_row[j]; + K y = f(x); + sum += y*weight_row[j]; + Real abterm0 = abs(y)*weight_row[j]; + absum += abterm0; + } + + I1 += sum*h; + L1_I1 += absum*h; + err = abs(I0 - I1); + if (!(boost::math::isfinite)(L1_I1)) + { + return static_cast<K>(policies::raise_evaluation_error("exp_sinh_integrate", "The exp_sinh quadrature evaluated your function at a singular point and returned %1%. Please ensure your function evaluates to a finite number over its entire domain.", I1, Policy())); + } + if (err <= tolerance*L1_I1) + { + break; + } + } + + if (error) + { + *error = err; + } + + if(L1) + { + *L1 = L1_I1; + } + + if (levels) + { + *levels = i; + } + + return I1; +} + +} // namespace detail +} // namespace quadrature +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_ENABLE_CUDA + +#endif // BOOST_MATH_QUADRATURE_DETAIL_EXP_SINH_DETAIL_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/quadrature/detail/sinh_sinh_detail.hpp b/contrib/restricted/boost/math/include/boost/math/quadrature/detail/sinh_sinh_detail.hpp index a9e1ef4931..7f7477a6e6 100644 --- a/contrib/restricted/boost/math/include/boost/math/quadrature/detail/sinh_sinh_detail.hpp +++ b/contrib/restricted/boost/math/include/boost/math/quadrature/detail/sinh_sinh_detail.hpp @@ -1,4 +1,5 @@ // Copyright Nick Thompson, 2017 +// Copyright Matt Borland, 2024 // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt @@ -7,6 +8,10 @@ #ifndef BOOST_MATH_QUADRATURE_DETAIL_SINH_SINH_DETAIL_HPP #define BOOST_MATH_QUADRATURE_DETAIL_SINH_SINH_DETAIL_HPP +#include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <cmath> #include <string> #include <vector> @@ -15,7 +20,6 @@ #include <boost/math/tools/atomic.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/trunc.hpp> -#include <boost/math/tools/config.hpp> #ifdef BOOST_MATH_HAS_THREADS #include <mutex> @@ -485,4 +489,865 @@ void sinh_sinh_detail<Real, Policy>::init(const std::integral_constant<int, 4>&) #endif }}}} -#endif + +#endif // BOOST_MATH_HAS_NVRTC + +#ifdef BOOST_MATH_ENABLE_CUDA + +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/precision.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/constants/constants.hpp> +#include <boost/math/special_functions/fpclassify.hpp> +#include <boost/math/policies/error_handling.hpp> + +namespace boost { +namespace math { +namespace quadrature { +namespace detail { + +__constant__ float m_abscissas_float_1[4] = + { 3.08828742e+00f, 1.48993185e+02f, 3.41228925e+06f, 2.06932577e+18f, }; + +__constant__ float m_abscissas_float_2[4] = + { 9.13048763e-01f, 1.41578929e+01f, 6.70421552e+03f, 9.64172533e+10f, }; + +__constant__ float m_abscissas_float_3[8] = + { 4.07297690e-01f, 1.68206671e+00f, 6.15089799e+00f, 4.00396235e+01f, 7.92920025e+02f, 1.02984971e+05f, + 3.03862311e+08f, 1.56544547e+14f, }; + +__constant__ float m_abscissas_float_4[16] = + { 1.98135272e-01f, 6.40155674e-01f, 1.24892870e+00f, 2.26608084e+00f, 4.29646270e+00f, 9.13029039e+00f, + 2.31110765e+01f, 7.42770603e+01f, 3.26720921e+02f, 2.15948569e+03f, 2.41501526e+04f, 5.31819400e+05f, + 2.80058686e+07f, 4.52406508e+09f, 3.08561257e+12f, 1.33882673e+16f, }; + +__constant__ float m_abscissas_float_5[32] = + { 9.83967894e-02f, 3.00605618e-01f, 5.19857979e-01f, 7.70362083e-01f, 1.07131137e+00f, 1.45056976e+00f, + 1.95077855e+00f, 2.64003177e+00f, 3.63137237e+00f, 5.11991533e+00f, 7.45666098e+00f, 1.13022613e+01f, + 1.79641069e+01f, 3.01781070e+01f, 5.40387580e+01f, 1.04107731e+02f, 2.18029520e+02f, 5.02155699e+02f, + 1.28862131e+03f, 3.73921687e+03f, 1.24750730e+04f, 4.87639975e+04f, 2.28145658e+05f, 1.30877796e+06f, + 9.46084663e+06f, 8.88883120e+07f, 1.12416883e+09f, 1.99127673e+10f, 5.16743469e+11f, 2.06721881e+13f, + 1.35061503e+15f, 1.53854066e+17f, }; + +__constant__ float m_abscissas_float_6[65] = + { 4.91151004e-02f, 1.48013150e-01f, 2.48938814e-01f, 3.53325424e-01f, 4.62733557e-01f, 5.78912068e-01f, + 7.03870253e-01f, 8.39965859e-01f, 9.90015066e-01f, 1.15743257e+00f, 1.34641276e+00f, 1.56216711e+00f, + 1.81123885e+00f, 2.10192442e+00f, 2.44484389e+00f, 2.85372075e+00f, 3.34645891e+00f, 3.94664582e+00f, + 4.68567310e+00f, 5.60576223e+00f, 6.76433234e+00f, 8.24038318e+00f, 1.01439436e+01f, 1.26302471e+01f, + 1.59213040e+01f, 2.03392186e+01f, 2.63584645e+01f, 3.46892633e+01f, 4.64129147e+01f, 6.32055079e+01f, + 8.77149726e+01f, 1.24209693e+02f, 1.79718635e+02f, 2.66081728e+02f, 4.03727303e+02f, 6.28811307e+02f, + 1.00707984e+03f, 1.66156823e+03f, 2.82965144e+03f, 4.98438627e+03f, 9.10154693e+03f, 1.72689266e+04f, + 3.41309958e+04f, 7.04566898e+04f, 1.52340422e+05f, 3.46047978e+05f, 8.28472421e+05f, 2.09759615e+06f, + 5.63695080e+06f, 1.61407141e+07f, 4.94473068e+07f, 1.62781052e+08f, 5.78533297e+08f, 2.23083854e+09f, + 9.38239131e+09f, 4.32814954e+10f, 2.20307274e+11f, 1.24524507e+12f, 7.86900053e+12f, 5.59953143e+13f, + 4.52148695e+14f, 4.17688952e+15f, 4.45286776e+16f, 5.52914285e+17f, 8.07573252e+18f, }; + +__constant__ float m_abscissas_float_7[129] = + { 2.45471558e-02f, 7.37246687e-02f, 1.23152531e-01f, 1.73000138e-01f, 2.23440665e-01f, 2.74652655e-01f, + 3.26821679e-01f, 3.80142101e-01f, 4.34818964e-01f, 4.91070037e-01f, 5.49128046e-01f, 6.09243132e-01f, + 6.71685571e-01f, 7.36748805e-01f, 8.04752842e-01f, 8.76048080e-01f, 9.51019635e-01f, 1.03009224e+00f, + 1.11373586e+00f, 1.20247203e+00f, 1.29688123e+00f, 1.39761124e+00f, 1.50538689e+00f, 1.62102121e+00f, + 1.74542840e+00f, 1.87963895e+00f, 2.02481711e+00f, 2.18228138e+00f, 2.35352849e+00f, 2.54026147e+00f, + 2.74442267e+00f, 2.96823279e+00f, 3.21423687e+00f, 3.48535896e+00f, 3.78496698e+00f, 4.11695014e+00f, + 4.48581137e+00f, 4.89677825e+00f, 5.35593629e+00f, 5.87038976e+00f, 6.44845619e+00f, 7.09990245e+00f, + 7.83623225e+00f, 8.67103729e+00f, 9.62042778e+00f, 1.07035620e+01f, 1.19433001e+01f, 1.33670142e+01f, + 1.50075962e+01f, 1.69047155e+01f, 1.91063967e+01f, 2.16710044e+01f, 2.46697527e+01f, 2.81898903e+01f, + 3.23387613e+01f, 3.72490076e+01f, 4.30852608e+01f, 5.00527965e+01f, 5.84087761e+01f, 6.84769282e+01f, + 8.06668178e+01f, 9.54992727e+01f, 1.13640120e+02f, 1.35945194e+02f, 1.63520745e+02f, 1.97804969e+02f, + 2.40678754e+02f, 2.94617029e+02f, 3.62896953e+02f, 4.49886178e+02f, 5.61444735e+02f, 7.05489247e+02f, + 8.92790773e+02f, 1.13811142e+03f, 1.46183599e+03f, 1.89233262e+03f, 2.46939604e+03f, 3.24931157e+03f, + 4.31236711e+03f, 5.77409475e+03f, 7.80224724e+03f, 1.06426753e+04f, 1.46591538e+04f, 2.03952854e+04f, + 2.86717062e+04f, 4.07403376e+04f, 5.85318231e+04f, 8.50568927e+04f, 1.25064927e+05f, 1.86137394e+05f, + 2.80525578e+05f, 4.28278249e+05f, 6.62634051e+05f, 1.03944324e+06f, 1.65385743e+06f, 2.67031565e+06f, + 4.37721203e+06f, 7.28807171e+06f, 1.23317299e+07f, 2.12155729e+07f, 3.71308625e+07f, 6.61457938e+07f, + 1.20005529e+08f, 2.21862941e+08f, 4.18228294e+08f, 8.04370413e+08f, 1.57939299e+09f, 3.16812242e+09f, + 6.49660681e+09f, 1.36285199e+10f, 2.92686390e+10f, 6.43979867e+10f, 1.45275523e+11f, 3.36285446e+11f, + 7.99420279e+11f, 1.95326423e+12f, 4.90958187e+12f, 1.27062273e+13f, 3.38907099e+13f, 9.32508403e+13f, + 2.64948942e+14f, 7.78129518e+14f, 2.36471505e+15f, 7.44413803e+15f, 2.43021724e+16f, 8.23706864e+16f, + 2.90211705e+17f, 1.06415768e+18f, 4.06627711e+18f, }; + +__constant__ float m_abscissas_float_8[259] = + { 1.22722792e-02f, 3.68272289e-02f, 6.14133763e-02f, 8.60515971e-02f, 1.10762884e-01f, 1.35568393e-01f, + 1.60489494e-01f, 1.85547813e-01f, 2.10765290e-01f, 2.36164222e-01f, 2.61767321e-01f, 2.87597761e-01f, + 3.13679240e-01f, 3.40036029e-01f, 3.66693040e-01f, 3.93675878e-01f, 4.21010910e-01f, 4.48725333e-01f, + 4.76847237e-01f, 5.05405685e-01f, 5.34430786e-01f, 5.63953775e-01f, 5.94007101e-01f, 6.24624511e-01f, + 6.55841151e-01f, 6.87693662e-01f, 7.20220285e-01f, 7.53460977e-01f, 7.87457528e-01f, 8.22253686e-01f, + 8.57895297e-01f, 8.94430441e-01f, 9.31909591e-01f, 9.70385775e-01f, 1.00991475e+00f, 1.05055518e+00f, + 1.09236885e+00f, 1.13542087e+00f, 1.17977990e+00f, 1.22551840e+00f, 1.27271289e+00f, 1.32144424e+00f, + 1.37179794e+00f, 1.42386447e+00f, 1.47773961e+00f, 1.53352485e+00f, 1.59132774e+00f, 1.65126241e+00f, + 1.71344993e+00f, 1.77801893e+00f, 1.84510605e+00f, 1.91485658e+00f, 1.98742510e+00f, 2.06297613e+00f, + 2.14168493e+00f, 2.22373826e+00f, 2.30933526e+00f, 2.39868843e+00f, 2.49202464e+00f, 2.58958621e+00f, + 2.69163219e+00f, 2.79843963e+00f, 2.91030501e+00f, 3.02754584e+00f, 3.15050230e+00f, 3.27953915e+00f, + 3.41504770e+00f, 3.55744805e+00f, 3.70719145e+00f, 3.86476298e+00f, 4.03068439e+00f, 4.20551725e+00f, + 4.38986641e+00f, 4.58438376e+00f, 4.78977239e+00f, 5.00679110e+00f, 5.23625945e+00f, 5.47906320e+00f, + 5.73616037e+00f, 6.00858792e+00f, 6.29746901e+00f, 6.60402117e+00f, 6.92956515e+00f, 7.27553483e+00f, + 7.64348809e+00f, 8.03511888e+00f, 8.45227058e+00f, 8.89695079e+00f, 9.37134780e+00f, 9.87784877e+00f, + 1.04190601e+01f, 1.09978298e+01f, 1.16172728e+01f, 1.22807990e+01f, 1.29921443e+01f, 1.37554055e+01f, + 1.45750793e+01f, 1.54561061e+01f, 1.64039187e+01f, 1.74244972e+01f, 1.85244301e+01f, 1.97109839e+01f, + 2.09921804e+01f, 2.23768845e+01f, 2.38749023e+01f, 2.54970927e+01f, 2.72554930e+01f, 2.91634608e+01f, + 3.12358351e+01f, 3.34891185e+01f, 3.59416839e+01f, 3.86140099e+01f, 4.15289481e+01f, 4.47120276e+01f, + 4.81918020e+01f, 5.20002465e+01f, 5.61732106e+01f, 6.07509371e+01f, 6.57786566e+01f, 7.13072704e+01f, + 7.73941341e+01f, 8.41039609e+01f, 9.15098607e+01f, 9.96945411e+01f, 1.08751694e+02f, 1.18787600e+02f, + 1.29922990e+02f, 1.42295202e+02f, 1.56060691e+02f, 1.71397955e+02f, 1.88510933e+02f, 2.07632988e+02f, + 2.29031559e+02f, 2.53013612e+02f, 2.79932028e+02f, 3.10193130e+02f, 3.44265522e+02f, 3.82690530e+02f, + 4.26094527e+02f, 4.75203518e+02f, 5.30860437e+02f, 5.94045681e+02f, 6.65901543e+02f, 7.47761337e+02f, + 8.41184173e+02f, 9.47996570e+02f, 1.07034233e+03f, 1.21074246e+03f, 1.37216724e+03f, 1.55812321e+03f, + 1.77275819e+03f, 2.02098849e+03f, 2.30865326e+03f, 2.64270219e+03f, 3.03142418e+03f, 3.48472668e+03f, + 4.01447750e+03f, 4.63492426e+03f, 5.36320995e+03f, 6.22000841e+03f, 7.23030933e+03f, 8.42439022e+03f, + 9.83902287e+03f, 1.15189746e+04f, 1.35188810e+04f, 1.59055875e+04f, 1.87610857e+04f, 2.21862046e+04f, + 2.63052621e+04f, 3.12719440e+04f, 3.72767546e+04f, 4.45564828e+04f, 5.34062659e+04f, 6.41950058e+04f, + 7.73851264e+04f, 9.35579699e+04f, 1.13446538e+05f, 1.37977827e+05f, 1.68327749e+05f, 2.05992575e+05f, + 2.52882202e+05f, 3.11442272e+05f, 3.84814591e+05f, 4.77048586e+05f, 5.93380932e+05f, 7.40606619e+05f, + 9.27573047e+05f, 1.16584026e+06f, 1.47056632e+06f, 1.86169890e+06f, 2.36558487e+06f, 3.01715270e+06f, + 3.86288257e+06f, 4.96486431e+06f, 6.40636283e+06f, 8.29948185e+06f, 1.07957589e+07f, 1.41008733e+07f, + 1.84951472e+07f, 2.43622442e+07f, 3.22295113e+07f, 4.28249388e+07f, 5.71579339e+07f, 7.66343793e+07f, + 1.03221273e+08f, 1.39683399e+08f, 1.89925150e+08f, 2.59486540e+08f, 3.56266474e+08f, 4.91582541e+08f, + 6.81731647e+08f, 9.50299811e+08f, 1.33159830e+09f, 1.87580198e+09f, 2.65667391e+09f, 3.78324022e+09f, + 5.41753185e+09f, 7.80169537e+09f, 1.12996537e+10f, 1.64614916e+10f, 2.41235400e+10f, 3.55648690e+10f, + 5.27534501e+10f, 7.87357211e+10f, 1.18256902e+11f, 1.78754944e+11f, 2.71963306e+11f, 4.16512215e+11f, + 6.42178186e+11f, 9.96872550e+11f, 1.55821233e+12f, 2.45280998e+12f, 3.88865623e+12f, 6.20986899e+12f, + 9.98992422e+12f, 1.61915800e+13f, 2.64432452e+13f, 4.35201885e+13f, 7.21888469e+13f, 1.20699764e+14f, + 2.03448372e+14f, 3.45755310e+14f, 5.92524851e+14f, 1.02405779e+15f, 1.78517405e+15f, 3.13930699e+15f, + 5.56985627e+15f, 9.97176335e+15f, 1.80168749e+16f, 3.28570986e+16f, 6.04901854e+16f, 1.12437528e+17f, + 2.11044513e+17f, 4.00073701e+17f, 7.66084936e+17f, 1.48201877e+18f, 2.89694543e+18f, 5.72279017e+18f, + 1.14268996e+19f, }; + +__constant__ float* m_abscissas_float[8] = { + m_abscissas_float_1, + m_abscissas_float_2, + m_abscissas_float_3, + m_abscissas_float_4, + m_abscissas_float_5, + m_abscissas_float_6, + m_abscissas_float_7, + m_abscissas_float_8, +}; + +__constant__ float m_weights_float_1[4] = + { 7.86824160e+00f, 8.80516388e+02f, 5.39627832e+07f, 8.87651190e+19f, }; + +__constant__ float m_weights_float_2[4] = + { 2.39852428e+00f, 5.24459642e+01f, 6.45788782e+04f, 2.50998524e+12f, }; + +__constant__ float m_weights_float_3[8] = + { 1.74936958e+00f, 3.97965898e+00f, 1.84851460e+01f, 1.86488072e+02f, 5.97420570e+03f, 1.27041264e+06f, + 6.16419301e+09f, 5.23085003e+15f, }; + +__constant__ float m_weights_float_4[16] = + { 1.61385906e+00f, 1.99776729e+00f, 3.02023198e+00f, 5.47764184e+00f, 1.17966092e+01f, 3.03550485e+01f, + 9.58442179e+01f, 3.89387024e+02f, 2.17919325e+03f, 1.83920812e+04f, 2.63212061e+05f, 7.42729651e+06f, + 5.01587565e+08f, 1.03961087e+11f, 9.10032891e+13f, 5.06865116e+17f, }; + +__constant__ float m_weights_float_5[32] = + { 1.58146596e+00f, 1.66914991e+00f, 1.85752319e+00f, 2.17566262e+00f, 2.67590138e+00f, 3.44773868e+00f, + 4.64394654e+00f, 6.53020450e+00f, 9.58228502e+00f, 1.46836141e+01f, 2.35444955e+01f, 3.96352727e+01f, + 7.03763521e+01f, 1.32588012e+02f, 2.66962565e+02f, 5.79374920e+02f, 1.36869193e+03f, 3.55943572e+03f, + 1.03218668e+04f, 3.38662130e+04f, 1.27816626e+05f, 5.65408251e+05f, 2.99446204e+06f, 1.94497502e+07f, + 1.59219301e+08f, 1.69428882e+09f, 2.42715618e+10f, 4.87031785e+11f, 1.43181966e+13f, 6.48947152e+14f, + 4.80375775e+16f, 6.20009636e+18f, }; + +__constant__ float m_weights_float_6[65] = + { 1.57345777e+00f, 1.59489276e+00f, 1.63853652e+00f, 1.70598041e+00f, 1.79972439e+00f, 1.92332285e+00f, + 2.08159737e+00f, 2.28093488e+00f, 2.52969785e+00f, 2.83878478e+00f, 3.22239575e+00f, 3.69908136e+00f, + 4.29318827e+00f, 5.03686536e+00f, 5.97287114e+00f, 7.15853842e+00f, 8.67142780e+00f, 1.06174736e+01f, + 1.31428500e+01f, 1.64514563e+01f, 2.08309945e+01f, 2.66923599e+01f, 3.46299351e+01f, 4.55151836e+01f, + 6.06440809e+01f, 8.19729692e+01f, 1.12502047e+02f, 1.56909655e+02f, 2.22620435e+02f, 3.21638549e+02f, + 4.73757451e+02f, 7.12299455e+02f, 1.09460965e+03f, 1.72169779e+03f, 2.77592491e+03f, 4.59523007e+03f, + 7.82342759e+03f, 1.37235744e+04f, 2.48518896e+04f, 4.65553875e+04f, 9.04176678e+04f, 1.82484396e+05f, + 3.83680026e+05f, 8.42627197e+05f, 1.93843257e+06f, 4.68511285e+06f, 1.19352867e+07f, 3.21564375e+07f, + 9.19600893e+07f, 2.80222318e+08f, 9.13611083e+08f, 3.20091090e+09f, 1.21076526e+10f, 4.96902475e+10f, + 2.22431575e+11f, 1.09212534e+12f, 5.91688298e+12f, 3.55974344e+13f, 2.39435365e+14f, 1.81355107e+15f, + 1.55873671e+16f, 1.53271488e+17f, 1.73927478e+18f, 2.29884122e+19f, 3.57403070e+20f, }; + +__constant__ float m_weights_float_7[129] = + { 1.57146132e+00f, 1.57679017e+00f, 1.58749564e+00f, 1.60367396e+00f, 1.62547113e+00f, 1.65308501e+00f, + 1.68676814e+00f, 1.72683132e+00f, 1.77364814e+00f, 1.82766042e+00f, 1.88938482e+00f, 1.95942057e+00f, + 2.03845873e+00f, 2.12729290e+00f, 2.22683194e+00f, 2.33811466e+00f, 2.46232715e+00f, 2.60082286e+00f, + 2.75514621e+00f, 2.92706011e+00f, 3.11857817e+00f, 3.33200254e+00f, 3.56996830e+00f, 3.83549565e+00f, + 4.13205150e+00f, 4.46362211e+00f, 4.83479919e+00f, 5.25088196e+00f, 5.71799849e+00f, 6.24325042e+00f, + 6.83488580e+00f, 7.50250620e+00f, 8.25731548e+00f, 9.11241941e+00f, 1.00831875e+01f, 1.11876913e+01f, + 1.24472371e+01f, 1.38870139e+01f, 1.55368872e+01f, 1.74323700e+01f, 1.96158189e+01f, 2.21379089e+01f, + 2.50594593e+01f, 2.84537038e+01f, 3.24091185e+01f, 3.70329629e+01f, 4.24557264e+01f, 4.88367348e+01f, + 5.63712464e+01f, 6.52994709e+01f, 7.59180776e+01f, 8.85949425e+01f, 1.03788130e+02f, 1.22070426e+02f, + 1.44161210e+02f, 1.70968019e+02f, 2.03641059e+02f, 2.43645006e+02f, 2.92854081e+02f, 3.53678602e+02f, + 4.29234308e+02f, 5.23570184e+02f, 6.41976690e+02f, 7.91405208e+02f, 9.81042209e+02f, 1.22309999e+03f, + 1.53391256e+03f, 1.93546401e+03f, 2.45753455e+03f, 3.14073373e+03f, 4.04081819e+03f, 5.23488160e+03f, + 6.83029446e+03f, 8.97771323e+03f, 1.18901592e+04f, 1.58712239e+04f, 2.13571111e+04f, 2.89798371e+04f, + 3.96630673e+04f, 5.47687519e+04f, 7.63235654e+04f, 1.07371915e+05f, 1.52531667e+05f, 2.18877843e+05f, + 3.17362450e+05f, 4.65120153e+05f, 6.89253766e+05f, 1.03311989e+06f, 1.56688798e+06f, 2.40549203e+06f, + 3.73952896e+06f, 5.88912115e+06f, 9.39904635e+06f, 1.52090328e+07f, 2.49628719e+07f, 4.15775926e+07f, + 7.03070537e+07f, 1.20759856e+08f, 2.10788251e+08f, 3.74104720e+08f, 6.75449459e+08f, 1.24131674e+09f, + 2.32331003e+09f, 4.43117602e+09f, 8.61744649e+09f, 1.70983691e+10f, 3.46357452e+10f, 7.16760712e+10f, + 1.51634762e+11f, 3.28172932e+11f, 7.27110260e+11f, 1.65049955e+12f, 3.84133815e+12f, 9.17374427e+12f, + 2.24990195e+13f, 5.67153509e+13f, 1.47074225e+14f, 3.92701252e+14f, 1.08063998e+15f, 3.06767147e+15f, + 8.99238679e+15f, 2.72472254e+16f, 8.54294612e+16f, 2.77461372e+17f, 9.34529948e+17f, 3.26799612e+18f, + 1.18791443e+19f, 4.49405341e+19f, 1.77170665e+20f, }; + +__constant__ float m_weights_float_8[259] = + { 1.57096255e+00f, 1.57229290e+00f, 1.57495658e+00f, 1.57895955e+00f, 1.58431079e+00f, 1.59102230e+00f, + 1.59910918e+00f, 1.60858966e+00f, 1.61948515e+00f, 1.63182037e+00f, 1.64562338e+00f, 1.66092569e+00f, + 1.67776241e+00f, 1.69617233e+00f, 1.71619809e+00f, 1.73788633e+00f, 1.76128784e+00f, 1.78645779e+00f, + 1.81345587e+00f, 1.84234658e+00f, 1.87319943e+00f, 1.90608922e+00f, 1.94109632e+00f, 1.97830698e+00f, + 2.01781368e+00f, 2.05971547e+00f, 2.10411838e+00f, 2.15113585e+00f, 2.20088916e+00f, 2.25350798e+00f, + 2.30913084e+00f, 2.36790578e+00f, 2.42999091e+00f, 2.49555516e+00f, 2.56477893e+00f, 2.63785496e+00f, + 2.71498915e+00f, 2.79640147e+00f, 2.88232702e+00f, 2.97301705e+00f, 3.06874019e+00f, 3.16978367e+00f, + 3.27645477e+00f, 3.38908227e+00f, 3.50801806e+00f, 3.63363896e+00f, 3.76634859e+00f, 3.90657947e+00f, + 4.05479525e+00f, 4.21149322e+00f, 4.37720695e+00f, 4.55250922e+00f, 4.73801517e+00f, 4.93438579e+00f, + 5.14233166e+00f, 5.36261713e+00f, 5.59606472e+00f, 5.84356014e+00f, 6.10605759e+00f, 6.38458564e+00f, + 6.68025373e+00f, 6.99425915e+00f, 7.32789480e+00f, 7.68255767e+00f, 8.05975815e+00f, 8.46113023e+00f, + 8.88844279e+00f, 9.34361190e+00f, 9.82871448e+00f, 1.03460033e+01f, 1.08979234e+01f, 1.14871305e+01f, + 1.21165112e+01f, 1.27892047e+01f, 1.35086281e+01f, 1.42785033e+01f, 1.51028871e+01f, 1.59862046e+01f, + 1.69332867e+01f, 1.79494108e+01f, 1.90403465e+01f, 2.02124072e+01f, 2.14725057e+01f, 2.28282181e+01f, + 2.42878539e+01f, 2.58605342e+01f, 2.75562800e+01f, 2.93861096e+01f, 3.13621485e+01f, 3.34977526e+01f, + 3.58076454e+01f, 3.83080730e+01f, 4.10169773e+01f, 4.39541917e+01f, 4.71416602e+01f, 5.06036855e+01f, + 5.43672075e+01f, 5.84621188e+01f, 6.29216205e+01f, 6.77826252e+01f, 7.30862125e+01f, 7.88781469e+01f, + 8.52094636e+01f, 9.21371360e+01f, 9.97248336e+01f, 1.08043785e+02f, 1.17173764e+02f, 1.27204209e+02f, + 1.38235512e+02f, 1.50380485e+02f, 1.63766039e+02f, 1.78535118e+02f, 1.94848913e+02f, 2.12889407e+02f, + 2.32862309e+02f, 2.55000432e+02f, 2.79567594e+02f, 3.06863126e+02f, 3.37227087e+02f, 3.71046310e+02f, + 4.08761417e+02f, 4.50874968e+02f, 4.97960949e+02f, 5.50675821e+02f, 6.09771424e+02f, 6.76110054e+02f, + 7.50682104e+02f, 8.34626760e+02f, 9.29256285e+02f, 1.03608458e+03f, 1.15686082e+03f, 1.29360914e+03f, + 1.44867552e+03f, 1.62478326e+03f, 1.82509876e+03f, 2.05330964e+03f, 2.31371761e+03f, 2.61134924e+03f, + 2.95208799e+03f, 3.34283233e+03f, 3.79168493e+03f, 4.30817984e+03f, 4.90355562e+03f, 5.59108434e+03f, + 6.38646863e+03f, 7.30832183e+03f, 8.37874981e+03f, 9.62405722e+03f, 1.10756067e+04f, 1.27708661e+04f, + 1.47546879e+04f, 1.70808754e+04f, 1.98141031e+04f, 2.30322789e+04f, 2.68294532e+04f, 3.13194118e+04f, + 3.66401221e+04f, 4.29592484e+04f, 5.04810088e+04f, 5.94547213e+04f, 7.01854788e+04f, 8.30475173e+04f, + 9.85009981e+04f, 1.17113127e+05f, 1.39584798e+05f, 1.66784302e+05f, 1.99790063e+05f, 2.39944995e+05f, + 2.88925794e+05f, 3.48831531e+05f, 4.22297220e+05f, 5.12639825e+05f, 6.24046488e+05f, 7.61817907e+05f, + 9.32683930e+05f, 1.14521401e+06f, 1.41035265e+06f, 1.74212004e+06f, 2.15853172e+06f, 2.68280941e+06f, + 3.34498056e+06f, 4.18399797e+06f, 5.25055801e+06f, 6.61086017e+06f, 8.35163942e+06f, 1.05869253e+07f, + 1.34671524e+07f, 1.71914827e+07f, 2.20245345e+07f, 2.83191730e+07f, 3.65476782e+07f, 4.73445266e+07f, + 6.15653406e+07f, 8.03684303e+07f, 1.05328028e+08f, 1.38592169e+08f, 1.83103699e+08f, 2.42910946e+08f, + 3.23606239e+08f, 4.32947522e+08f, 5.81743297e+08f, 7.85117979e+08f, 1.06432920e+09f, 1.44938958e+09f, + 1.98286647e+09f, 2.72541431e+09f, 3.76386796e+09f, 5.22313881e+09f, 7.28378581e+09f, 1.02080964e+10f, + 1.43789932e+10f, 2.03583681e+10f, 2.89749983e+10f, 4.14577375e+10f, 5.96383768e+10f, 8.62622848e+10f, + 1.25466705e+11f, 1.83521298e+11f, 2.69981221e+11f, 3.99492845e+11f, 5.94638056e+11f, 8.90440997e+11f, + 1.34155194e+12f, 2.03376855e+12f, 3.10262796e+12f, 4.76359832e+12f, 7.36142036e+12f, 1.14512696e+13f, + 1.79331419e+13f, 2.82758550e+13f, 4.48929705e+13f, 7.17780287e+13f, 1.15585510e+14f, 1.87483389e+14f, + 3.06351036e+14f, 5.04340065e+14f, 8.36616340e+14f, 1.39855635e+15f, 2.35633575e+15f, 4.00176517e+15f, + 6.85137513e+15f, 1.18269011e+16f, 2.05867353e+16f, 3.61396878e+16f, 6.39911218e+16f, 1.14301619e+17f, + 2.05988138e+17f, 3.74584679e+17f, 6.87444303e+17f, 1.27340764e+18f, 2.38124192e+18f, 4.49583562e+18f, + 8.57144202e+18f, 1.65044358e+19f, 3.21010035e+19f, 6.30778012e+19f, 1.25240403e+20f, 2.51300530e+20f, + 5.09677626e+20f, }; + +__constant__ float* m_weights_float[8] = { + m_weights_float_1, + m_weights_float_2, + m_weights_float_3, + m_weights_float_4, + m_weights_float_5, + m_weights_float_6, + m_weights_float_7, + m_weights_float_8 +}; + +__constant__ double m_abscissas_double_1[6] = + { 3.088287417976322866e+00, 1.489931846492091580e+02, 3.412289247883437102e+06, 2.069325766042617791e+18, + 2.087002407609475560e+50, 2.019766160717908151e+137, }; + +__constant__ double m_abscissas_double_2[6] = + { 9.130487626376696748e-01, 1.415789294662811592e+01, 6.704215516223276482e+03, 9.641725327150499415e+10, + 2.508950760085778485e+30, 1.447263535710337145e+83, }; + +__constant__ double m_abscissas_double_3[12] = + { 4.072976900657586902e-01, 1.682066707021148743e+00, 6.150897986386729515e+00, 4.003962351929400222e+01, + 7.929200247931026321e+02, 1.029849713330979583e+05, 3.038623109252438574e+08, 1.565445474362494869e+14, + 4.042465098430219104e+23, 1.321706827429658179e+39, 4.991231782099557998e+64, 7.352943850359875966e+106, }; + +__constant__ double m_abscissas_double_4[24] = + { 1.981352722514781726e-01, 6.401556735005260177e-01, 1.248928698253977663e+00, 2.266080840944321232e+00, + 4.296462696702327381e+00, 9.130290387099955696e+00, 2.311107653864279933e+01, 7.427706034324012430e+01, + 3.267209207115258917e+02, 2.159485694311818716e+03, 2.415015262896413060e+04, 5.318194002756929158e+05, + 2.800586857217043323e+07, 4.524065079794338780e+09, 3.085612573980677122e+12, 1.338826733015807478e+16, + 6.254617176562341381e+20, 6.182098535814164754e+26, 3.077293649788458067e+34, 2.348957289370104303e+44, + 1.148543197899469758e+57, 2.255300070010069868e+73, 1.877919500569195394e+94, 1.367473887938624280e+121, }; + +__constant__ double m_abscissas_double_5[49] = + { 9.839678940067320339e-02, 3.006056176599550351e-01, 5.198579789949384900e-01, 7.703620832988877009e-01, + 1.071311369641311830e+00, 1.450569758088998445e+00, 1.950778549520360334e+00, 2.640031773695551468e+00, + 3.631372373667412273e+00, 5.119915330903350570e+00, 7.456660981404883289e+00, 1.130226126889972624e+01, + 1.796410692472772550e+01, 3.017810704601898222e+01, 5.403875800312370567e+01, 1.041077314477469548e+02, + 2.180295201202628077e+02, 5.021556986259101646e+02, 1.288621310998222420e+03, 3.739216870800548324e+03, + 1.247507297020191232e+04, 4.876399753226692124e+04, 2.281456582219130122e+05, 1.308777960064843017e+06, + 9.460846634209664077e+06, 8.888831203637279622e+07, 1.124168828974344134e+09, 1.991276729532144470e+10, + 5.167434691060984650e+11, 2.067218814203990888e+13, 1.350615033184100406e+15, 1.538540662836508188e+17, + 3.290747290540350661e+19, 1.437291381884498816e+22, 1.409832445530347286e+25, 3.459135480277971441e+28, + 2.398720582340954092e+32, 5.398806604617292960e+36, 4.613340002580628610e+41, 1.787685909667902457e+47, + 3.841984370124338536e+53, 5.752797955708583700e+60, 7.771812038427286551e+68, 1.269673044204081626e+78, + 3.495676773765731568e+88, 2.362519474971692445e+100, 6.002143893273651123e+113, 9.290716303464155539e+128, + 1.514442238033847090e+146, }; + +__constant__ double m_abscissas_double_6[98] = + { 4.911510035029024930e-02, 1.480131496743607333e-01, 2.489388137406836857e-01, 3.533254236926684378e-01, + 4.627335566122353259e-01, 5.789120681640963067e-01, 7.038702533860627799e-01, 8.399658591446505688e-01, + 9.900150664244376147e-01, 1.157432570143699131e+00, 1.346412759185361763e+00, 1.562167113901335551e+00, + 1.811238852782323380e+00, 2.101924419006550301e+00, 2.444843885584197934e+00, 2.853720746632915024e+00, + 3.346458910955350787e+00, 3.946645821057838387e+00, 4.685673101596678529e+00, 5.605762230908151175e+00, + 6.764332336830574204e+00, 8.240383175379985221e+00, 1.014394356129857730e+01, 1.263024714338892472e+01, + 1.592130395780345258e+01, 2.033921861921857185e+01, 2.635846445760633752e+01, 3.468926333224152409e+01, + 4.641291467019728963e+01, 6.320550793890424203e+01, 8.771497261808906374e+01, 1.242096926240411498e+02, + 1.797186347845127557e+02, 2.660817283327900190e+02, 4.037273029575712841e+02, 6.288113066545908703e+02, + 1.007079837507490594e+03, 1.661568229185114288e+03, 2.829651440786582598e+03, 4.984386266585669139e+03, + 9.101546927647810893e+03, 1.726892655475049727e+04, 3.413099578778601190e+04, 7.045668977053092802e+04, + 1.523404217761279128e+05, 3.460479782897947414e+05, 8.284724209233183002e+05, 2.097596146601193946e+06, + 5.636950798861273236e+06, 1.614071410855607245e+07, 4.944730678915060360e+07, 1.627810516820991356e+08, + 5.785332971632280838e+08, 2.230838540681955690e+09, 9.382391306064739643e+09, 4.328149544776551692e+10, + 2.203072744049242904e+11, 1.245245067109136413e+12, 7.869000534957822375e+12, 5.599531432979422461e+13, + 4.521486949902090877e+14, 4.176889516548293265e+15, 4.452867759650496656e+16, 5.529142853140498068e+17, + 8.075732516562854275e+18, 1.402046916260468698e+20, 2.925791412832239850e+21, 7.426433029335410886e+22, + 2.321996331245735364e+24, 9.064194250638442432e+25, 4.481279048819445609e+27, 2.849046304726990645e+29, + 2.367381159183355975e+31, 2.615825578455121227e+33, 3.914764948263290808e+35, 8.092042448555929219e+37, + 2.358921320940630332e+40, 9.915218648535332591e+42, 6.152851059342658764e+45, 5.780276340144515388e+48, + 8.443751734186488626e+51, 1.973343350899766708e+55, 7.605247378556219980e+58, 4.992057104939510418e+62, + 5.775863423903912316e+66, 1.221808201945355603e+71, 4.912917230387133816e+75, 3.913971813732202372e+80, + 6.456388069905286787e+85, 2.311225068528010358e+91, 1.887458157719431339e+97, 3.708483165438453094e+103, + 1.855198812283538635e+110, 2.509787873171705318e+117, 9.790423755591216617e+124, 1.179088807944050747e+133, + 4.714631846722476620e+141, 6.762657785959713240e+150, }; + +__constant__ double m_abscissas_double_7[196] = + { 2.454715583629863651e-02, 7.372466873903346224e-02, 1.231525309416766543e-01, 1.730001377719248556e-01, + 2.234406649596860001e-01, 2.746526549718518258e-01, 3.268216792980646669e-01, 3.801421009804789245e-01, + 4.348189637215614948e-01, 4.910700365099428407e-01, 5.491280459480215441e-01, 6.092431324382654397e-01, + 6.716855712021148069e-01, 7.367488049067938643e-01, 8.047528416336950644e-01, 8.760480802482050705e-01, + 9.510196351823332253e-01, 1.030092244532470067e+00, 1.113735859588680765e+00, 1.202472030918058876e+00, + 1.296881226496863751e+00, 1.397611241828373026e+00, 1.505386891360545205e+00, 1.621021205894798030e+00, + 1.745428403369044572e+00, 1.879638952031029331e+00, 2.024817107609328524e+00, 2.182281382147884181e+00, + 2.353528494823881355e+00, 2.540261468229626457e+00, 2.744422672171478111e+00, 2.968232787190606619e+00, + 3.214236869520657666e+00, 3.485358957907730467e+00, 3.784966983117372821e+00, 4.116950138940295100e+00, + 4.485811369388231710e+00, 4.896778246562001812e+00, 5.355936290826725948e+00, 5.870389762600956907e+00, + 6.448456189131117605e+00, 7.099902452679558236e+00, 7.836232253282841261e+00, 8.671037293575230635e+00, + 9.620427777985990363e+00, 1.070356198876799531e+01, 1.194330008139441022e+01, 1.336701421038499647e+01, + 1.500759615914396343e+01, 1.690471548203528376e+01, 1.910639668731689597e+01, 2.167100443216577994e+01, + 2.466975274695099197e+01, 2.818989025157845355e+01, 3.233876132429401745e+01, 3.724900758097245740e+01, + 4.308526084907741997e+01, 5.005279647654703975e+01, 5.840877607253876528e+01, 6.847692821534239862e+01, + 8.066681777060714848e+01, 9.549927270200249260e+01, 1.136401195769487885e+02, 1.359451944976603209e+02, + 1.635207451879744447e+02, 1.978049687912586950e+02, 2.406787535889776661e+02, 2.946170292930555023e+02, + 3.628969532147125333e+02, 4.498861782715596902e+02, 5.614447353133496106e+02, 7.054892470899271429e+02, + 8.927907732799964116e+02, 1.138111424979478376e+03, 1.461835991563605367e+03, 1.892332623444716186e+03, + 2.469396036186133479e+03, 3.249311569298824731e+03, 4.312367113170283012e+03, 5.774094754500139661e+03, + 7.802247237500851845e+03, 1.064267530975806972e+04, 1.465915383535674990e+04, 2.039528541239754835e+04, + 2.867170622421556265e+04, 4.074033762183453297e+04, 5.853182310596923393e+04, 8.505689265265206640e+04, + 1.250649269847856615e+05, 1.861373943166749766e+05, 2.805255777452010927e+05, 4.282782486084761748e+05, + 6.626340506127657304e+05, 1.039443239650339565e+06, 1.653857426112961316e+06, 2.670315650125279161e+06, + 4.377212026624358795e+06, 7.288071713698413821e+06, 1.233172993400331694e+07, 2.121557285769933699e+07, + 3.713086254861535383e+07, 6.614579377352135534e+07, 1.200055291694917110e+08, 2.218629410296880690e+08, + 4.182282939928687703e+08, 8.043704132493714804e+08, 1.579392989425668114e+09, 3.168122415524104635e+09, + 6.496606811549861323e+09, 1.362851988356444486e+10, 2.926863897008707708e+10, 6.439798665209493735e+10, + 1.452755233772903022e+11, 3.362854459389246576e+11, 7.994202785433479271e+11, 1.953264233362291960e+12, + 4.909581868242554569e+12, 1.270622730765015610e+13, 3.389070986742985764e+13, 9.325084030208844833e+13, + 2.649489423834534140e+14, 7.781295184094957195e+14, 2.364715052527355639e+15, 7.444138031465958255e+15, + 2.430217240684749635e+16, 8.237068641534357762e+16, 2.902117050664548840e+17, 1.064157679404037013e+18, + 4.066277106061960017e+18, 1.621274233630359097e+19, 6.754156830915450013e+19, 2.944056841733781919e+20, + 1.344640139549107817e+21, 6.444586158944723300e+21, 3.246218667554608934e+22, 1.721234579556653533e+23, + 9.622533890240474391e+23, 5.681407260417956671e+24, 3.548890779995928184e+25, 2.349506425672269562e+26, + 1.651618130605205643e+27, 1.235147426493113059e+28, 9.845947239792057550e+28, 8.383130781984610418e+29, + 7.639649461399172445e+30, 7.467862732233885201e+31, 7.847691482004993660e+32, 8.886032557626454704e+33, + 1.086734890678302436e+35, 1.438967777036538458e+36, 2.068168865475603521e+37, 3.234885320223912385e+38, + 5.521233641542628514e+39, 1.031148231194663855e+41, 2.113272035816365982e+42, 4.766724345485077520e+43, + 1.186961550990218287e+45, 3.273172169205847573e+46, 1.002821226769167753e+48, 3.424933903935156479e+49, + 1.308436017026428736e+51, 5.611378330048420503e+52, 2.711424806327139291e+54, 1.481771793644066442e+56, + 9.194282071042778804e+57, 6.503661455875355562e+59, 5.266329986868627303e+61, 4.902662807969347359e+63, + 5.270511057289557050e+65, 6.572856511670583316e+67, 9.553956030013225387e+69, 1.626491911159411616e+72, + 3.259410915500951223e+74, 7.728460318113614280e+76, 2.179881996905918059e+79, 7.354484388371505915e+81, + 2.984831270803957746e+84, 1.465828267813438962e+87, 8.763355972629864261e+89, 6.417909665847831130e+92, + 5.794958649229893510e+95, 6.494224472311908365e+98, 9.095000156016433698e+101, 1.603058498455299102e+105, + 3.582099119119320529e+108, 1.022441227139854687e+112, 3.756872185015086057e+115, 1.791363463832849159e+119, + 1.117641882039472124e+123, 9.202159565546528285e+126, 1.008716474827888568e+131, 1.485546487089301805e+135, + 2.966961534830566097e+139, 8.114207284664369360e+143, 3.069178087507669739e+148, 1.622223681147791473e+153, }; + +__constant__ double m_abscissas_double_8[391] = + { 1.227227917054637830e-02, 3.682722894492590471e-02, 6.141337626871079991e-02, 8.605159708778207907e-02, + 1.107628840017845446e-01, 1.355683934957785482e-01, 1.604894937454335489e-01, 1.855478131645089496e-01, + 2.107652898670700524e-01, 2.361642222214626268e-01, 2.617673206785495261e-01, 2.875977610631342900e-01, + 3.136792395249035647e-01, 3.400360293536632770e-01, 3.666930398731810193e-01, 3.936758776386451797e-01, + 4.210109101746846268e-01, 4.487253325041450341e-01, 4.768472367324829462e-01, 5.054056849688209375e-01, + 5.344307858825229079e-01, 5.639537752137267134e-01, 5.940071005777549000e-01, 6.246245109268716053e-01, + 6.558411510586397969e-01, 6.876936615883514922e-01, 7.202202848338683401e-01, 7.534609770949572224e-01, + 7.874575278460963461e-01, 8.222536864020499377e-01, 8.578952966595825808e-01, 8.944304405668593009e-01, + 9.319095910247435485e-01, 9.703857749817920659e-01, 1.009914747547728584e+00, 1.050555178019083150e+00, + 1.092368848786092579e+00, 1.135420868172514300e+00, 1.179779898350424466e+00, 1.225518399571142610e+00, + 1.272712892062026473e+00, 1.321444237057985065e+00, 1.371797938567245953e+00, 1.423864467614384096e+00, + 1.477739610861208115e+00, 1.533524845679288858e+00, 1.591327743938355098e+00, 1.651262406984310076e+00, + 1.713449934511288211e+00, 1.778018930286256858e+00, 1.845106047964720870e+00, 1.914856580544951899e+00, + 1.987425097349017093e+00, 2.062976132795275283e+00, 2.141684931642916785e+00, 2.223738255848994521e+00, + 2.309335258687213796e+00, 2.398688432341103821e+00, 2.492024635808356095e+00, 2.589586210645122756e+00, + 2.691632192846832444e+00, 2.798439630014497291e+00, 2.910305013902562652e+00, 3.027545839497364963e+00, + 3.150502302946919722e+00, 3.279539151967394330e+00, 3.415047703805410611e+00, 3.557448047456550733e+00, + 3.707191448649779817e+00, 3.864762978128342125e+00, 4.030684386016531344e+00, 4.205517247588613835e+00, + 4.389866408585172458e+00, 4.584383761391930748e+00, 4.789772386950687695e+00, 5.006791101261363264e+00, + 5.236259449815274050e+00, 5.479063198337523150e+00, 5.736160373884817415e+00, 6.008587916728619858e+00, + 6.297469010648863048e+00, 6.604021167380929133e+00, 6.929565150124677837e+00, 7.275534831383860972e+00, + 7.643488092123492064e+00, 8.035118882502459288e+00, 8.452270579478188130e+00, 8.896950793641785313e+00, + 9.371347797016395173e+00, 9.877848765573446033e+00, 1.041906005527762037e+01, 1.099782975900831706e+01, + 1.161727282423952258e+01, 1.228079904848924611e+01, 1.299214431196691048e+01, 1.375540545535625881e+01, + 1.457507926620621316e+01, 1.545610610104852468e+01, 1.640391874338302925e+01, 1.742449718154208970e+01, + 1.852443008688437526e+01, 1.971098388378266494e+01, 2.099218043080961648e+01, 2.237688448013982946e+01, + 2.387490225270073820e+01, 2.549709266380430464e+01, 2.725549296232531555e+01, 2.916346081119624987e+01, + 3.123583514423284962e+01, 3.348911849136805118e+01, 3.594168387985465099e+01, 3.861400990307230737e+01, + 4.152894811329303023e+01, 4.471202755441533396e+01, 4.819180202224910174e+01, 5.200024654361558757e+01, + 5.617321062537384494e+01, 6.075093706918782079e+01, 6.577865661168003966e+01, 7.130727037357721343e+01, + 7.739413413465805794e+01, 8.410396085269633392e+01, 9.150986068496734448e+01, 9.969454113547704016e+01, + 1.087516939426018897e+02, 1.187876000643037532e+02, 1.299229897614516371e+02, 1.422952015056372537e+02, + 1.560606914665002671e+02, 1.713979549326432406e+02, 1.885109325154830073e+02, 2.076329877740125935e+02, + 2.290315594654587370e+02, 2.530136115655676467e+02, 2.799320282398896912e+02, 3.101931299766730890e+02, + 3.442655222107529892e+02, 3.826905303289378387e+02, 4.260945266207607701e+02, 4.752035175892902045e+02, + 5.308604366239058864e+02, 5.940456805372995009e+02, 6.659015428338778262e+02, 7.477613367309153870e+02, + 8.411841730471343023e+02, 9.479965698013741524e+02, 1.070342331375881840e+03, 1.210742457518582660e+03, + 1.372167241552205820e+03, 1.558123212187692722e+03, 1.772758188662716282e+03, 2.020988485411862984e+03, + 2.308653259329163157e+03, 2.642702189813684273e+03, 3.031424182869210212e+03, 3.484726676985756018e+03, + 4.014477504733973505e+03, 4.634924264049394751e+03, 5.363209949773439749e+03, 6.220008412114342803e+03, + 7.230309332853029956e+03, 8.424390216735217783e+03, 9.839022871538541787e+03, 1.151897463083113988e+04, + 1.351888098874374202e+04, 1.590558745460066947e+04, 1.876108572764816176e+04, 2.218620462393366275e+04, + 2.630526205054915357e+04, 3.127194401941711057e+04, 3.727675461256652923e+04, 4.455648280312273249e+04, + 5.340626592018903930e+04, 6.419500580388918123e+04, 7.738512642386820060e+04, 9.355796993981725963e+04, + 1.134465375820669470e+05, 1.379778272209741713e+05, 1.683277485807887053e+05, 2.059925746120735305e+05, + 2.528822024503158254e+05, 3.114422718347725915e+05, 3.848145913435570736e+05, 4.770485864966822643e+05, + 5.933809324724740854e+05, 7.406066190351666115e+05, 9.275730471470643372e+05, 1.165840260940180415e+06, + 1.470566322118246135e+06, 1.861698899014921971e+06, 2.365584870298354495e+06, 3.017152695505764877e+06, + 3.862882573599929249e+06, 4.964864305589750358e+06, 6.406362829959736606e+06, 8.299481847261302115e+06, + 1.079575892642401854e+07, 1.410087327474604091e+07, 1.849514724418250100e+07, 2.436224419670805500e+07, + 3.222951131863941234e+07, 4.282493882385925337e+07, 5.715793394339267637e+07, 7.663437932745451635e+07, + 1.032212725498489699e+08, 1.396833991976194842e+08, 1.899251497664892740e+08, 2.594865396467505851e+08, + 3.562664742464501497e+08, 4.915825413172413471e+08, 6.817316470116958142e+08, 9.502998105202541438e+08, + 1.331598295343277538e+09, 1.875801976010459831e+09, 2.656673907709731487e+09, 3.783240215616365909e+09, + 5.417531848500136979e+09, 7.801695369892847510e+09, 1.129965368955098833e+10, 1.646149161390821924e+10, + 2.412353995736687694e+10, 3.556486895431927094e+10, 5.275345014093760519e+10, 7.873572108325378177e+10, + 1.182569020317863604e+11, 1.787549442508363461e+11, 2.719633064979986142e+11, 4.165122153119897946e+11, + 6.421781858205134197e+11, 9.968725497576275918e+11, 1.558212327122960399e+12, 2.452809984907093786e+12, + 3.888656232828140210e+12, 6.209868990509424909e+12, 9.989924216297983665e+12, 1.619158001378611351e+13, + 2.644324518669926559e+13, 4.352018847904374786e+13, 7.218884688202741709e+13, 1.206997640727349538e+14, + 2.034483722445207402e+14, 3.457553102874402920e+14, 5.925248511957505706e+14, 1.024057793713038672e+15, + 1.785174045941642162e+15, 3.139306988668494696e+15, 5.569856270174890128e+15, 9.971763353834460328e+15, + 1.801687491114883092e+16, 3.285709858322565542e+16, 6.049018540910759710e+16, 1.124375283211369572e+17, + 2.110445125952435305e+17, 4.000737007891229992e+17, 7.660849361564329309e+17, 1.482018770996176700e+18, + 2.896945433910857945e+18, 5.722790165693470493e+18, 1.142689960439921462e+19, 2.306616559984106723e+19, + 4.707857184616093863e+19, 9.717346347495342813e+19, 2.028735605622585444e+20, 4.284840254171000581e+20, + 9.157027329021623836e+20, 1.980457834766411777e+21, 4.335604886702252004e+21, 9.609258559714223995e+21, + 2.156604630608586997e+22, 4.902045909695270289e+22, 1.128749227121328467e+23, 2.633414623049930879e+23, + 6.226335684490998543e+23, 1.492205279014148921e+24, 3.625768249717590109e+24, 8.933899764961444882e+24, + 2.232786981682262383e+25, 5.661295336293986732e+25, 1.456616710298133142e+26, 3.803959852868488245e+26, + 1.008531585603036490e+27, 2.715247425129423358e+27, 7.425071766766651967e+27, 2.062860712173225003e+28, + 5.824055458799413312e+28, 1.671388836696436644e+29, 4.876830632023956392e+29, 1.447170071146107156e+30, + 4.368562208925583783e+30, 1.341873806249251338e+31, 4.195251632754338682e+31, 1.335360134828214136e+32, + 4.328681350715136340e+32, 1.429401866150319186e+33, 4.809736146227180696e+33, 1.649624114567602575e+34, + 5.768677492419801469e+34, 2.057442854162761350e+35, 7.486423509917811063e+35, 2.780052791791155051e+36, + 1.053908347660081874e+37, 4.080046334235754223e+37, 1.613553311592805373e+38, 6.520836332997615098e+38, + 2.693848186257510992e+39, 1.138002408430710800e+40, 4.917748008813924613e+40, 2.174691073191358676e+41, + 9.844523745430526502e+41, 4.563707467590116732e+42, 2.167352073708379137e+43, 1.054860193887170754e+44, + 5.263588225566847365e+44, 2.693772458797916623e+45, 1.414506760560163074e+46, 7.624126763512016620e+46, + 4.219828148762794411e+47, 2.399387665831793264e+48, 1.402139947254117434e+49, 8.424706325525422943e+49, + 5.206918479942619318e+50, 3.311787866477716151e+51, 2.168683295509859155e+52, 1.462786368779206713e+53, + 1.016761784575838363e+54, 7.286460995145043184e+54, 5.386194237448865407e+55, 4.108917480528740640e+56, + 3.236445625945552728e+57, 2.633440652417619669e+58, 2.214702339357939268e+59, 1.926058995948268392e+60, + 1.733067740414174932e+61, 1.614307160124426969e+62, 1.557464328486352138e+63, 1.557226155197192031e+64, + 1.614473962707995344e+65, 1.736617406327386105e+66, 1.939201243451190521e+67, 2.249277732936622876e+68, + 2.711593798719765599e+69, 3.399628732048687119e+70, 4.435389696730206291e+71, 6.025566076164003981e+72, + 8.529161425383779849e+73, 1.258746322992988688e+75, 1.938112175186560210e+76, 3.115432363572610661e+77, + 5.231797674434390018e+78, 9.184930207860680757e+79, 1.686929404780378772e+81, 3.243565624474232635e+82, + 6.533812498930220075e+83, 1.379898823144620314e+85, 3.057650444842839916e+86, 7.114050545839171245e+87, + 1.739275024442258674e+89, 4.471782915853177804e+90, 1.210036789494028144e+92, 3.448828044590862359e+93, + 1.036226783750561565e+95, 3.284801914751206038e+96, 1.099514933602224638e+98, 3.889581731378242597e+99, + 1.455434287901069991e+101, 5.765729934387419019e+102, 2.420349568745475582e+104, 1.077606625929777536e+106, + 5.093346988695851845e+107, 2.558090824110323997e+109, 1.366512508719047964e+111, 7.771735800763526406e+112, + 4.710398638793014918e+114, 3.045563885587013954e+116, 2.102762552861442993e+118, 1.551937536212596136e+120, + 1.225676354426075970e+122, 1.036950946169703711e+124, 9.407885268970827717e+125, 9.163369107785093171e+127, + 9.592531095671168926e+129, 1.080486293361823875e+132, 1.311034829557782450e+134, 1.715642975932639188e+136, + 2.424231742707881878e+138, 3.703231223333127919e+140, 6.123225027409988902e+142, 1.097271040771196765e+145, + 2.133693643241295977e+147, 4.508099184895777328e+149, 1.036252806686291189e+152, }; + +__constant__ double* m_abscissas_double[8] = { + m_abscissas_double_1, + m_abscissas_double_2, + m_abscissas_double_3, + m_abscissas_double_4, + m_abscissas_double_5, + m_abscissas_double_6, + m_abscissas_double_7, + m_abscissas_double_8, +}; + +__constant__ double m_weights_double_1[6] = + { 7.868241604839621507e+00, 8.805163880733011116e+02, 5.396278323520705668e+07, 8.876511896968161317e+19, + 2.432791879269225553e+52, 6.399713512080202911e+139, }; + +__constant__ double m_weights_double_2[6] = + { 2.398524276302635218e+00, 5.244596423726681022e+01, 6.457887819598201760e+04, 2.509985242511374506e+12, + 1.774029269327138701e+32, 2.781406115983097314e+85, }; + +__constant__ double m_weights_double_3[12] = + { 1.749369583108386852e+00, 3.979658981934607813e+00, 1.848514598574449570e+01, 1.864880718932067988e+02, + 5.974205695263265855e+03, 1.270412635144623341e+06, 6.164193014295984071e+09, 5.230850031811222530e+15, + 2.226260929943369774e+25, 1.199931102042181592e+41, 7.470602144275146214e+66, 1.814465860528410676e+109, }; + +__constant__ double m_weights_double_4[24] = + { 1.613859062188366173e+00, 1.997767291869673262e+00, 3.020231979908834220e+00, 5.477641843859057761e+00, + 1.179660916492671672e+01, 3.035504848518598294e+01, 9.584421793794920860e+01, 3.893870238229992076e+02, + 2.179193250357911344e+03, 1.839208123964132852e+04, 2.632120612599856167e+05, 7.427296507169468210e+06, + 5.015875648341232356e+08, 1.039610867241544113e+11, 9.100328911818091977e+13, 5.068651163890231571e+17, + 3.039966520714902616e+22, 3.857740194672007962e+28, 2.465542763666581087e+36, 2.416439449167799461e+46, + 1.517091553926604149e+59, 3.825043412021411380e+75, 4.089582396821598640e+96, 3.823775894295564050e+123, }; + +__constant__ double m_weights_double_5[49] = + { 1.581465959536694744e+00, 1.669149910438534746e+00, 1.857523188595005770e+00, 2.175662623626994120e+00, + 2.675901375211020564e+00, 3.447738682498791744e+00, 4.643946540355464126e+00, 6.530204496574248616e+00, + 9.582285015566804961e+00, 1.468361407515440960e+01, 2.354449548740987533e+01, 3.963527273305166705e+01, + 7.037635206267538547e+01, 1.325880124784838868e+02, 2.669625649541569172e+02, 5.793749198508472676e+02, + 1.368691928321303605e+03, 3.559435721533130554e+03, 1.032186677270763318e+04, 3.386621302858741487e+04, + 1.278166259840246830e+05, 5.654082513926693098e+05, 2.994462044781721833e+06, 1.944975023421914947e+07, + 1.592193007690560588e+08, 1.694288818617459913e+09, 2.427156182311303271e+10, 4.870317848199455490e+11, + 1.431819656229181793e+13, 6.489471523099301256e+14, 4.803757752508989106e+16, 6.200096361305331541e+18, + 1.502568562439914899e+21, 7.436061367189688251e+23, 8.264761218677928603e+26, 2.297735027897804345e+30, + 1.805449779569534997e+34, 4.604472360199061931e+38, 4.458371212030626854e+43, 1.957638261114809309e+49, + 4.767368137162500764e+55, 8.088820139476721285e+62, 1.238260897349286357e+71, 2.292272505278842062e+80, + 7.151392373749193549e+90, 5.476714850156044431e+102, 1.576655618370700681e+116, 2.765448595957851958e+131, + 5.108051255283132673e+148, }; + +__constant__ double m_weights_double_6[98] = + { 1.573457773573108386e+00, 1.594892755038663787e+00, 1.638536515530234742e+00, 1.705980408212213620e+00, + 1.799724394608737275e+00, 1.923322854425656307e+00, 2.081597373313268178e+00, 2.280934883790070511e+00, + 2.529697852387704655e+00, 2.838784782552951185e+00, 3.222395745020980612e+00, 3.699081358854235112e+00, + 4.293188274330526800e+00, 5.036865356322330076e+00, 5.972871140910932199e+00, 7.158538424311077564e+00, + 8.671427800892076385e+00, 1.061747360297922326e+01, 1.314285002260235600e+01, 1.645145625668428040e+01, + 2.083099449998189069e+01, 2.669235989791640190e+01, 3.462993514791378189e+01, 4.551518362653662579e+01, + 6.064408087764392116e+01, 8.197296917485846798e+01, 1.125020468081652564e+02, 1.569096552844714123e+02, + 2.226204347868638276e+02, 3.216385489504077755e+02, 4.737574505945461739e+02, 7.122994548146997637e+02, + 1.094609652686376553e+03, 1.721697789176049576e+03, 2.775924909253835146e+03, 4.595230066268149347e+03, + 7.823427586641573672e+03, 1.372357435269105405e+04, 2.485188961645119553e+04, 4.655538745425972783e+04, + 9.041766782135686884e+04, 1.824843964862728392e+05, 3.836800264094614027e+05, 8.426271970245168026e+05, + 1.938432574158782634e+06, 4.685112849356485528e+06, 1.193528667218607927e+07, 3.215643752247989316e+07, + 9.196008928386600386e+07, 2.802223178457559964e+08, 9.136110825267458886e+08, 3.200910900783148591e+09, + 1.210765264234723689e+10, 4.969024745093101808e+10, 2.224315751863855216e+11, 1.092125344449313660e+12, + 5.916882980019919359e+12, 3.559743438494577249e+13, 2.394353652945465191e+14, 1.813551073517501917e+15, + 1.558736706166165738e+16, 1.532714875555114333e+17, 1.739274776190789212e+18, 2.298841216802216313e+19, + 3.574030698837762664e+20, 6.604899705451419080e+21, 1.467155879591820659e+23, 3.964094964398509381e+24, + 1.319342840595348793e+26, 5.482251971340400742e+27, 2.885137894723827518e+29, 1.952539840765392110e+31, + 1.727051489032222797e+33, 2.031343507095439396e+35, 3.236074146972599980e+37, 7.120487412983497200e+39, + 2.209552707411017265e+42, 9.886282647791384648e+44, 6.530514048788273529e+47, 6.530706672481546528e+50, + 1.015518807431281951e+54, 2.526366773162394510e+57, 1.036450519906790297e+61, 7.241966032627135861e+64, + 8.919402520769714938e+68, 2.008463619152992905e+73, 8.596914764830260020e+77, 7.290599546829495220e+82, + 1.280199563216419112e+88, 4.878349285603201150e+93, 4.240828248064127940e+99, 8.869771764721598720e+105, + 4.723342575741417669e+112, 6.802035963326188581e+119, 2.824531180990009549e+127, 3.621049216745982252e+135, + 1.541270150334942520e+144, 2.353376995174362785e+153, }; + +__constant__ double m_weights_double_7[196] = + { 1.571461316550783294e+00, 1.576790166316938345e+00, 1.587495640370383316e+00, 1.603673956341370210e+00, + 1.625471125457493943e+00, 1.653085011915939302e+00, 1.686768142525911236e+00, 1.726831323537516202e+00, + 1.773648138667236602e+00, 1.827660421478661448e+00, 1.889384817044018196e+00, 1.959420572855037091e+00, + 2.038458728047908923e+00, 2.127292904083847225e+00, 2.226831940199076941e+00, 2.338114664555130296e+00, + 2.462327148722991304e+00, 2.600822860927085164e+00, 2.755146214814554359e+00, 2.927060108424483555e+00, + 3.118578166240921951e+00, 3.332002540339506630e+00, 3.569968300410740276e+00, 3.835495653996447262e+00, + 4.132051496512934885e+00, 4.463622106699067881e+00, 4.834799191008006557e+00, 5.250881957765679608e+00, + 5.717998490875333124e+00, 6.243250421598568105e+00, 6.834885801226541839e+00, 7.502506202789340802e+00, + 8.257315484493544201e+00, 9.112419405864642634e+00, 1.008318749543997758e+01, 1.118769134993865202e+01, + 1.244723705914106881e+01, 1.388701390605507587e+01, 1.553688715915900190e+01, 1.743237000680942831e+01, + 1.961581894823993424e+01, 2.213790886354273806e+01, 2.505945934677137610e+01, 2.845370377742137561e+01, + 3.240911845969524834e+01, 3.703296289480230161e+01, 4.245572644746267911e+01, 4.883673480337985582e+01, + 5.637124640586975420e+01, 6.529947092752610340e+01, 7.591807755694122837e+01, 8.859494252391663822e+01, + 1.037881295005788124e+02, 1.220704263969226746e+02, 1.441612098131200535e+02, 1.709680191245773511e+02, + 2.036410593843575570e+02, 2.436450058708723643e+02, 2.928540812182076105e+02, 3.536786019152253392e+02, + 4.292343083967296939e+02, 5.235701840488733027e+02, 6.419766898003024575e+02, 7.914052083668759283e+02, + 9.810422089081931637e+02, 1.223099994999740393e+03, 1.533912555427112127e+03, 1.935464013605830339e+03, + 2.457534549912886852e+03, 3.140733731623635519e+03, 4.040818188564651898e+03, 5.234881599712225681e+03, + 6.830294457607329226e+03, 8.977713228649887143e+03, 1.189015920967326839e+04, 1.587122387044346962e+04, + 2.135711106445789331e+04, 2.897983705189681437e+04, 3.966306726795547950e+04, 5.476875193750000787e+04, + 7.632356539388055680e+04, 1.073719149754976951e+05, 1.525316674555574152e+05, 2.188778434744216586e+05, + 3.173624496019295608e+05, 4.651201525869328462e+05, 6.892537656280580572e+05, 1.033119885120019982e+06, + 1.566887981043252499e+06, 2.405492027026531795e+06, 3.739528964815910340e+06, 5.889121154895580032e+06, + 9.399046351922342030e+06, 1.520903276129653518e+07, 2.496287187293576168e+07, 4.157759259963074840e+07, + 7.030705366950267312e+07, 1.207598558452493366e+08, 2.107882509464846833e+08, 3.741047199023457864e+08, + 6.754494594987415572e+08, 1.241316740415880537e+09, 2.323310032649552862e+09, 4.431176019026625759e+09, + 8.617446487400900130e+09, 1.709836906604031513e+10, 3.463574521880171339e+10, 7.167607123799270726e+10, + 1.516347620910054079e+11, 3.281729323238950526e+11, 7.271102600298280790e+11, 1.650499552378780378e+12, + 3.841338149508803917e+12, 9.173744267785176575e+12, 2.249901946357519979e+13, 5.671535089900611731e+13, + 1.470742250307697019e+14, 3.927012518464311775e+14, 1.080639977391212820e+15, 3.067671466720475189e+15, + 8.992386789198328428e+15, 2.724722536524592111e+16, 8.542946122263389258e+16, 2.774613718725574755e+17, + 9.345299479382029121e+17, 3.267996122987731882e+18, 1.187914433455468315e+19, 4.494053408418564214e+19, + 1.771706652195486743e+20, 7.288102552885931527e+20, 3.132512430816625349e+21, 1.408743767951073110e+22, + 6.638294268236060414e+22, 3.282543608403565013e+23, 1.705920098038394064e+24, 9.332259385148524285e+24, + 5.382727175874888312e+25, 3.278954235122093249e+26, 2.113191697957458099e+27, 1.443411041499643040e+28, + 1.046864394654982423e+29, 8.077319226958905700e+29, 6.643146963432616277e+30, 5.835670121359986260e+31, + 5.486890296790230798e+32, 5.533726968508261614e+33, 5.999734996418352834e+34, 7.009176119466122569e+35, + 8.844061966424597499e+36, 1.208226860869605961e+38, 1.791648514311063338e+39, 2.891313916713205762e+40, + 5.091457860211527298e+41, 9.810630588402496553e+42, 2.074441239147378860e+44, 4.827650116937700540e+45, + 1.240287939111549029e+47, 3.528782858644784616e+48, 1.115449490471696659e+50, 3.930510643328196314e+51, + 1.549243712957852337e+53, 6.854998238041301002e+54, 3.417479961583207704e+56, 1.926905498641079990e+58, + 1.233580963004919450e+60, 9.002819902898076915e+61, 7.521415141253441645e+63, 7.224277554900578993e+65, + 8.012832830535078610e+67, 1.030999620286380369e+70, 1.546174957076748679e+72, 2.715803772613248694e+74, + 5.615089920571746438e+76, 1.373667859345343337e+79, 3.997541020769625126e+81, 1.391500589339800087e+84, + 5.826693844912022892e+86, 2.952274820929549096e+89, 1.821023061478466282e+92, 1.375973022137941526e+95, + 1.281852367543412945e+98, 1.482130127201990503e+101, 2.141574273792435314e+104, 3.894495540947112380e+107, + 8.978646362580102961e+110, 2.644131589807244050e+114, 1.002403539841913834e+118, 4.931412804903905259e+121, + 3.174401112435865044e+125, 2.696624001761892390e+129, 3.049799322320447166e+133, 4.634041526818687785e+137, + 9.548983134803106512e+141, 2.694404866192089829e+146, 1.051502720036395325e+151, 5.734170640626244955e+155, }; + +__constant__ double m_weights_double_8[391] = + { 1.570962550997832611e+00, 1.572292902367211961e+00, 1.574956581912666755e+00, 1.578959553636163985e+00, + 1.584310789563614305e+00, 1.591022301117035107e+00, 1.599109181186160337e+00, 1.608589657109067468e+00, + 1.619485154826419743e+00, 1.631820374530739318e+00, 1.645623378191125679e+00, 1.660925689395424109e+00, + 1.677762406016463717e+00, 1.696172326277082973e+00, 1.716198088860732467e+00, 1.737886327791014562e+00, + 1.761287842885152410e+00, 1.786457786673686420e+00, 1.813455868772335587e+00, 1.842346578792652542e+00, + 1.873199428986627521e+00, 1.906089217937612619e+00, 1.941096316736779451e+00, 1.978306979221816566e+00, + 2.017813678003844337e+00, 2.059715468170813895e+00, 2.104118380732327493e+00, 2.151135848063375554e+00, + 2.200889163814591418e+00, 2.253507979986114202e+00, 2.309130844113053375e+00, 2.367905779785113334e+00, + 2.429990914023652954e+00, 2.495555155369085590e+00, 2.564778926893134514e+00, 2.637854958747451684e+00, + 2.714989145296268067e+00, 2.796401472360280536e+00, 2.882327020626578700e+00, 2.973017051860293803e+00, + 3.068740185193628238e+00, 3.169783671473487386e+00, 3.276454774427328601e+00, 3.389082268266156098e+00, + 3.508018062292869136e+00, 3.633638964133530274e+00, 3.766348594369884204e+00, 3.906579466636309289e+00, + 4.054795248667541120e+00, 4.211493221360917802e+00, 4.377206954666462219e+00, 4.552509221059946388e+00, + 4.738015169510782826e+00, 4.934385785253587887e+00, 5.142331663338191074e+00, 5.362617126899976224e+00, + 5.596064724397100194e+00, 5.843560143744373307e+00, 6.106057585381734693e+00, 6.384585640900671436e+00, + 6.680253728973824449e+00, 6.994259146058412709e+00, 7.327894795748901060e+00, 7.682557667824588764e+00, + 8.059758146071137270e+00, 8.461130232962342889e+00, 8.888442789395671080e+00, 9.343611899025485155e+00, + 9.828714479494622022e+00, 1.034600327721380625e+01, 1.089792339849122916e+01, 1.148713054801325790e+01, + 1.211651116619788555e+01, 1.278920468010096321e+01, 1.350862810871281096e+01, 1.427850329305334421e+01, + 1.510288705493181327e+01, 1.598620462612703196e+01, 1.693328673269081128e+01, 1.794941076780000506e+01, + 1.904034654190823159e+01, 2.021240716182964334e+01, 2.147250566192247370e+01, 2.282821809199713505e+01, + 2.428785385941680425e+01, 2.586053422878117785e+01, 2.755628000354674426e+01, 2.938610955221109564e+01, + 3.136214849990951329e+01, 3.349775258749912582e+01, 3.580764540799625468e+01, 3.830807296872530167e+01, + 4.101697730155473447e+01, 4.395419165876113623e+01, 4.714166019494196927e+01, 5.060368545366659226e+01, + 5.436720746019445252e+01, 5.846211877912138439e+01, 6.292162054058128784e+01, 6.778262518512416663e+01, + 7.308621254265223015e+01, 7.887814686488147292e+01, 8.520946359734658334e+01, 9.213713603387774717e+01, + 9.972483357670754649e+01, 1.080437851679046426e+02, 1.171737636088621692e+02, 1.272042089988687372e+02, + 1.382355124664102373e+02, 1.503804848151483311e+02, 1.637660387526102742e+02, 1.785351181233383403e+02, + 1.948489131607280604e+02, 2.128894073598352670e+02, 2.328623093447990790e+02, 2.550004322843281994e+02, + 2.795675942672445782e+02, 3.068631259124280934e+02, 3.372270867451200874e+02, 3.710463099965576255e+02, + 4.087614170466174911e+02, 4.508749684194593670e+02, 4.979609488959773491e+02, 5.506758209385785877e+02, + 6.097714244663179092e+02, 6.761100535726473685e+02, 7.506821038741422446e+02, 8.346267600518081192e+02, + 9.292562845315541998e+02, 1.036084578498234728e+03, 1.156860819661897657e+03, 1.293609142453808600e+03, + 1.448675521854205144e+03, 1.624783259532197615e+03, 1.825098759915318560e+03, 2.053309635972617554e+03, + 2.313717614494777200e+03, 2.611349236640186999e+03, 2.952087994093624299e+03, 3.342832332560548180e+03, + 3.791684927756595099e+03, 4.308179838716318955e+03, 4.903555624570201673e+03, 5.591084343634811452e+03, + 6.386468625571246341e+03, 7.308321829412979440e+03, 8.378749812799703561e+03, 9.624057218749638059e+03, + 1.107560666191146008e+04, 1.277086605445904388e+04, 1.475468792019489452e+04, 1.708087537417066343e+04, + 1.981410309695485051e+04, 2.303227888204754908e+04, 2.682945317928632535e+04, 3.131941178398428200e+04, + 3.664012209706997997e+04, 4.295924836668690170e+04, 5.048100882639843572e+04, 5.945472133180055290e+04, + 7.018547875172689579e+04, 8.304751726175694003e+04, 9.850099805053575446e+04, 1.171131266261766060e+05, + 1.395847982160589845e+05, 1.667843016393077556e+05, 1.997900626520524686e+05, 2.399449946032992187e+05, + 2.889257939838013232e+05, 3.488315309194304548e+05, 4.222972201496778447e+05, 5.126398246369253619e+05, + 6.240464876221989792e+05, 7.618179073233615941e+05, 9.326839300224119257e+05, 1.145214007774297539e+06, + 1.410352646274233119e+06, 1.742120041875863385e+06, 2.158531716934287014e+06, 2.682809410126426731e+06, + 3.344980563595418861e+06, 4.183997972337706048e+06, 5.250558008165501752e+06, 6.610860174141680988e+06, + 8.351639423967558693e+06, 1.058692532393929900e+07, 1.346715235106239409e+07, 1.719148271024263021e+07, + 2.202453449027701694e+07, 2.831917301724337797e+07, 3.654767820268344932e+07, 4.734452657230626106e+07, + 6.156534063509513873e+07, 8.036843026897869248e+07, 1.053280284359690289e+08, 1.385921689084126286e+08, + 1.831036985925683524e+08, 2.429109457458640820e+08, 3.236062393759667463e+08, 4.329475218599986663e+08, + 5.817432967962929479e+08, 7.851179789388191786e+08, 1.064329197627075307e+09, 1.449389582912945485e+09, + 1.982866469377991849e+09, 2.725414314698094324e+09, 3.763867964111621444e+09, 5.223138814950990937e+09, + 7.283785810644397704e+09, 1.020809642381158743e+10, 1.437899318470510521e+10, 2.035836812543633578e+10, + 2.897499827080027444e+10, 4.145773751645494878e+10, 5.963837683872426287e+10, 8.626228483915530800e+10, + 1.254667045389825180e+11, 1.835212982264913186e+11, 2.699812207400151604e+11, 3.994928452151922954e+11, + 5.946380558701434550e+11, 8.904409967424091107e+11, 1.341551941677775838e+12, 2.033768550332151892e+12, + 3.102627959875753214e+12, 4.763598321705862063e+12, 7.361420360560813584e+12, 1.145126961456557423e+13, + 1.793314186996273926e+13, 2.827585501285792232e+13, 4.489297053678444669e+13, 7.177802872658499571e+13, + 1.155855098545820625e+14, 1.874833886367883093e+14, 3.063510356402174454e+14, 5.043400653005970242e+14, + 8.366163396892429890e+14, 1.398556351640947289e+15, 2.356335749516164682e+15, 4.001765167382637456e+15, + 6.851375128404941445e+15, 1.182690111761543990e+16, 2.058673527013806443e+16, 3.613968784314904633e+16, + 6.399112184394213551e+16, 1.143016185628376923e+17, 2.059881383915666443e+17, 3.745846788353680914e+17, + 6.874443034683149068e+17, 1.273407643613485314e+18, 2.381241916829895366e+18, 4.495835617307108399e+18, + 8.571442024901952701e+18, 1.650443584181656965e+19, 3.210100352421317851e+19, 6.307780124442703091e+19, + 1.252404031157661279e+20, 2.513005295649985394e+20, 5.096776255690838436e+20, 1.045019200016673046e+21, + 2.166476479260878466e+21, 4.542138145678395463e+21, 9.632082324449137128e+21, 2.066386536688254528e+22, + 4.485529785554428251e+22, 9.853879573610977508e+22, 2.191158874464374408e+23, 4.932835964390971668e+23, + 1.124501529971774363e+24, 2.596269136156756008e+24, 6.072292938313625501e+24, 1.438989066308003836e+25, + 3.455841956406570469e+25, 8.412655191713576490e+25, 2.076289061650816510e+26, 5.196515024640220322e+26, + 1.319173194089644043e+27, 3.397455895980380794e+27, 8.879057454438503591e+27, 2.355272361492064126e+28, + 6.342762007722624824e+28, 1.734531093990859705e+29, 4.817893170606830871e+29, 1.359597346490148232e+30, + 3.898969689906500392e+30, 1.136542986529989936e+31, 3.368450043991780017e+31, 1.015304084709817260e+32, + 3.113144376221918237e+32, 9.713072739730140403e+32, 3.084517643581725946e+33, 9.972682139820497284e+33, + 3.283625052288491586e+34, 1.101378785390827536e+35, 3.764333367592714297e+35, 1.311403465938242926e+36, + 4.658135710682813672e+36, 1.687517347470511392e+37, 6.237053685018323490e+37, 2.352571314427744869e+38, + 9.058938240219699936e+38, 3.562249097611136071e+39, 1.430959291578558210e+40, 5.873974584984375049e+40, + 2.464828549811283787e+41, 1.057649203090855628e+42, 4.642475639281078035e+42, 2.085287118272421779e+43, + 9.588439985186632177e+43, 4.514982011246092280e+44, 2.177974048341973204e+45, 1.076720976822900458e+46, + 5.457267432929085589e+46, 2.836869270455781134e+47, 1.513103201392011626e+48, 8.283974667225617075e+48, + 4.657239491995971344e+49, 2.689796370712836937e+50, 1.596597846911970388e+51, 9.744154538256586629e+51, + 6.117238394843313065e+52, 3.952049650585241827e+53, 2.628701592074258213e+54, 1.800990196502679393e+55, + 1.271554462563068383e+56, 9.255880104477760711e+56, 6.949737920133919393e+57, 5.385167200769965621e+58, + 4.308493668102978774e+59, 3.560951557542178371e+60, 3.041888528384649992e+61, 2.687094441930837189e+62, + 2.455920538900000855e+63, 2.323648254168641537e+64, 2.277129741584892331e+65, 2.312633552913224734e+66, + 2.435407592981291129e+67, 2.660910388822465246e+68, 3.018105943423533920e+69, 3.555823489510192503e+70, + 4.354188877793849013e+71, 5.544975795511813315e+72, 7.348276481909886336e+73, 1.013998025722423261e+75, + 1.457911462244607943e+76, 2.185488876819505295e+77, 3.418022153286623008e+78, 5.580843920601835728e+79, + 9.519586502799733908e+80, 1.697573578247197786e+82, 3.166906670990180014e+83, 6.185099106418675430e+84, + 1.265541134386934377e+86, 2.714828965877756899e+87, 6.110386802964494082e+88, 1.444054086171083239e+90, + 3.586083726638388165e+91, 9.365231868063239600e+92, 2.574080116205122449e+94, 7.452134689862302719e+95, + 2.274309903836169819e+97, 7.323011134121164749e+98, 2.489816421737932462e+100, 8.946533386359281588e+101, + 3.400401372391165979e+103, 1.368288186208928217e+105, 5.834277489829591931e+106, 2.638486937672383424e+108, + 1.266728882767139521e+110, 6.462225178314182803e+111, 3.506432320607573604e+113, 2.025608933943268165e+115, + 1.247041677084784707e+117, 8.189865188405279038e+118, 5.743610894406099965e+120, 4.305808934084489763e+122, + 3.454156966079496755e+124, 2.968316601530352737e+126, 2.735456242372183592e+128, 2.706317176690077847e+130, + 2.877679916342060385e+132, 3.292412878268106390e+134, 4.057840961953725969e+136, 5.393783049105737324e+138, + 7.741523901672235406e+140, 1.201209962310668456e+143, 2.017456079556807301e+145, 3.672176623483062526e+147, + 7.253163798058577630e+149, 1.556591535302570570e+152, 3.634399832790394885e+154, }; + +__constant__ double* m_weights_double[8] = { + m_weights_double_1, + m_weights_double_2, + m_weights_double_3, + m_weights_double_4, + m_weights_double_5, + m_weights_double_6, + m_weights_double_7, + m_weights_double_8 +}; +__constant__ boost::math::size_t float_coefficients_size[8] = {4, 4, 8, 16, 32, 65, 129, 259}; + +__constant__ boost::math::size_t double_coefficients_size[8] = {6, 6, 12, 24, 49, 98, 196, 391}; + +template<typename T> +struct coefficients_selector; + +template<> +struct coefficients_selector<float> +{ + __device__ static const auto abscissas() { return m_abscissas_float; } + __device__ static const auto weights() { return m_weights_float; } + __device__ static const auto size() { return float_coefficients_size; } +}; + +template<> +struct coefficients_selector<double> +{ + __device__ static const auto abscissas() { return m_abscissas_double; } + __device__ static const auto weights() { return m_weights_double; } + __device__ static const auto size() { return double_coefficients_size; } +}; + +template <class F, class Real, class Policy = boost::math::policies::policy<> > +__device__ auto sinh_sinh_integrate_impl(const F& f, Real tolerance, Real* error, Real* L1, boost::math::size_t* levels) +{ + BOOST_MATH_STD_USING + using boost::math::constants::half; + using boost::math::constants::half_pi; + using boost::math::size_t; + + constexpr auto function = "boost::math::quadrature::sinh_sinh<%1%>::integrate"; + + using K = decltype(f(static_cast<Real>(0))); + static_assert(!boost::math::is_integral<K>::value, + "The return type cannot be integral, it must be either a real or complex floating point type."); + + K y_max = f(boost::math::tools::max_value<Real>()); + + if(abs(y_max) > boost::math::tools::epsilon<Real>()) + { + return static_cast<K>(policies::raise_domain_error(function, + "The function you are trying to integrate does not go to zero at infinity, and instead evaluates to %1%", y_max, Policy())); + } + + K y_min = f(-boost::math::tools::max_value<Real>()); + + if(abs(y_min) > boost::math::tools::epsilon<Real>()) + { + return static_cast<K>(policies::raise_domain_error(function, + "The function you are trying to integrate does not go to zero at -infinity, and instead evaluates to %1%", y_max, Policy())); + } + + // Get the party started with two estimates of the integral: + const auto m_abscissas = coefficients_selector<Real>::abscissas(); + const auto m_weights = coefficients_selector<Real>::weights(); + const auto m_size = coefficients_selector<Real>::size(); + + K I0 = f(0)*half_pi<Real>(); + Real L1_I0 = abs(I0); + for(size_t i = 0; i < m_size[0]; ++i) + { + Real x = m_abscissas[0][i]; + K yp = f(x); + K ym = f(-x); + I0 += (yp + ym)*m_weights[0][i]; + L1_I0 += (abs(yp)+abs(ym))*m_weights[0][i]; + } + + K I1 = I0; + Real L1_I1 = L1_I0; + for (size_t i = 0; i < m_size[1]; ++i) + { + Real x= m_abscissas[1][i]; + K yp = f(x); + K ym = f(-x); + I1 += (yp + ym)*m_weights[1][i]; + L1_I1 += (abs(yp) + abs(ym))*m_weights[1][i]; + } + + I1 *= half<Real>(); + L1_I1 *= half<Real>(); + Real err = abs(I0 - I1); + + size_t i = 2; + for(; i <= 8U; ++i) + { + I0 = I1; + L1_I0 = L1_I1; + + I1 = half<Real>()*I0; + L1_I1 = half<Real>()*L1_I0; + Real h = static_cast<Real>(1) / static_cast<Real>(1 << i); + K sum = 0; + Real absum = 0; + + Real abterm1 = 1; + Real eps = boost::math::tools::epsilon<Real>()*L1_I1; + + auto abscissa_row = m_abscissas[i]; + auto weight_row = m_weights[i]; + + for(size_t j = 0; j < m_size[i]; ++j) + { + Real x = abscissa_row[j]; + K yp = f(x); + K ym = f(-x); + sum += (yp + ym)*weight_row[j]; + Real abterm0 = (abs(yp) + abs(ym))*weight_row[j]; + absum += abterm0; + + // We require two consecutive terms to be < eps in case we hit a zero of f. + if (x > static_cast<Real>(100) && abterm0 < eps && abterm1 < eps) + { + break; + } + abterm1 = abterm0; + } + + I1 += sum*h; + L1_I1 += absum*h; + err = abs(I0 - I1); + + if (!(boost::math::isfinite)(L1_I1)) + { + constexpr auto err_msg = "The sinh_sinh quadrature evaluated your function at a singular point, leading to the value %1%.\n" + "sinh_sinh quadrature cannot handle singularities in the domain.\n" + "If you are sure your function has no singularities, please submit a bug against boost.math\n"; + return static_cast<K>(policies::raise_evaluation_error(function, err_msg, I1, Policy())); + } + if (err <= tolerance*L1_I1) + { + break; + } + } + + if (error) + { + *error = err; + } + + if (L1) + { + *L1 = L1_I1; + } + + if (levels) + { + *levels = i; + } + + return I1; +} + +} // Namespace detail +} // Namespace quadrature +} // Namespace math +} // Namespace boost + +#endif // BOOST_MATH_ENABLE_CUDA + +#endif // BOOST_MATH_QUADRATURE_DETAIL_SINH_SINH_DETAIL_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/quadrature/exp_sinh.hpp b/contrib/restricted/boost/math/include/boost/math/quadrature/exp_sinh.hpp index f28493737e..d3148e0c0a 100644 --- a/contrib/restricted/boost/math/include/boost/math/quadrature/exp_sinh.hpp +++ b/contrib/restricted/boost/math/include/boost/math/quadrature/exp_sinh.hpp @@ -15,11 +15,15 @@ #ifndef BOOST_MATH_QUADRATURE_EXP_SINH_HPP #define BOOST_MATH_QUADRATURE_EXP_SINH_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/quadrature/detail/exp_sinh_detail.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <cmath> #include <limits> #include <memory> #include <string> -#include <boost/math/quadrature/detail/exp_sinh_detail.hpp> namespace boost{ namespace math{ namespace quadrature { @@ -98,4 +102,79 @@ auto exp_sinh<Real, Policy>::integrate(const F& f, Real tolerance, Real* error, }}} -#endif + +#endif // BOOST_MATH_HAS_NVRTC + +#ifdef BOOST_MATH_ENABLE_CUDA + +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/precision.hpp> +#include <boost/math/policies/error_handling.hpp> +#include <boost/math/constants/constants.hpp> + +namespace boost { +namespace math { +namespace quadrature { + +template <class F, class Real, class Policy = policies::policy<> > +__device__ auto exp_sinh_integrate(const F& f, Real a, Real b, Real tolerance, Real* error, Real* L1, boost::math::size_t* levels) +{ + BOOST_MATH_STD_USING + + using K = decltype(f(a)); + static_assert(!boost::math::is_integral<K>::value, + "The return type cannot be integral, it must be either a real or complex floating point type."); + + constexpr auto function = "boost::math::quadrature::exp_sinh<%1%>::integrate"; + + // Neither limit may be a NaN: + if((boost::math::isnan)(a) || (boost::math::isnan)(b)) + { + return static_cast<K>(policies::raise_domain_error(function, "NaN supplied as one limit of integration - sorry I don't know what to do", a, Policy())); + } + // Right limit is infinite: + if ((boost::math::isfinite)(a) && (b >= boost::math::tools::max_value<Real>())) + { + // If a = 0, don't use an additional level of indirection: + if (a == static_cast<Real>(0)) + { + return detail::exp_sinh_integrate_impl(f, tolerance, error, L1, levels); + } + const auto u = [&](Real t)->K { return f(t + a); }; + return detail::exp_sinh_integrate_impl(u, tolerance, error, L1, levels); + } + + if ((boost::math::isfinite)(b) && a <= -boost::math::tools::max_value<Real>()) + { + const auto u = [&](Real t)->K { return f(b-t);}; + return detail::exp_sinh_integrate_impl(u, tolerance, error, L1, levels); + } + + // Infinite limits: + if ((a <= -boost::math::tools::max_value<Real>()) && (b >= boost::math::tools::max_value<Real>())) + { + return static_cast<K>(policies::raise_domain_error(function, "Use sinh_sinh quadrature for integration over the whole real line; exp_sinh is for half infinite integrals.", a, Policy())); + } + // If we get to here then both ends must necessarily be finite: + return static_cast<K>(policies::raise_domain_error(function, "Use tanh_sinh quadrature for integration over finite domains; exp_sinh is for half infinite integrals.", a, Policy())); +} + +template <class F, class Real, class Policy = policies::policy<> > +__device__ auto exp_sinh_integrate(const F& f, Real tolerance, Real* error, Real* L1, boost::math::size_t* levels) +{ + BOOST_MATH_STD_USING + constexpr auto function = "boost::math::quadrature::exp_sinh<%1%>::integrate"; + if (abs(tolerance) > 1) { + return policies::raise_domain_error(function, "The tolerance provided (%1%) is unusually large; did you confuse it with a domain bound?", tolerance, Policy()); + } + return detail::exp_sinh_integrate_impl(f, tolerance, error, L1, levels); +} + +} // namespace quadrature +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_ENABLE_CUDA + +#endif // BOOST_MATH_QUADRATURE_EXP_SINH_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/quadrature/sinh_sinh.hpp b/contrib/restricted/boost/math/include/boost/math/quadrature/sinh_sinh.hpp index ed958eb8d2..7aabcb4376 100644 --- a/contrib/restricted/boost/math/include/boost/math/quadrature/sinh_sinh.hpp +++ b/contrib/restricted/boost/math/include/boost/math/quadrature/sinh_sinh.hpp @@ -1,4 +1,5 @@ // Copyright Nick Thompson, 2017 +// Copyright Matt Borland, 2024 // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt @@ -15,10 +16,17 @@ #ifndef BOOST_MATH_QUADRATURE_SINH_SINH_HPP #define BOOST_MATH_QUADRATURE_SINH_SINH_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/precision.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/quadrature/detail/sinh_sinh_detail.hpp> +#include <boost/math/policies/error_handling.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <cmath> #include <limits> #include <memory> -#include <boost/math/quadrature/detail/sinh_sinh_detail.hpp> namespace boost{ namespace math{ namespace quadrature { @@ -40,4 +48,25 @@ private: }; }}} -#endif + +#endif // BOOST_MATH_HAS_NVRTC + +#ifdef BOOST_MATH_ENABLE_CUDA + +namespace boost { +namespace math { +namespace quadrature { + +template <class F, class Real, class Policy = boost::math::policies::policy<> > +__device__ auto sinh_sinh_integrate(const F& f, Real tol = boost::math::tools::root_epsilon<Real>(), Real* error = nullptr, Real* L1 = nullptr, boost::math::size_t* levels = nullptr) +{ + return detail::sinh_sinh_integrate_impl(f, tol, error, L1, levels); +} + +} // namespace quadrature +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_ENABLE_CUDA + +#endif // BOOST_MATH_QUADRATURE_SINH_SINH_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/airy.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/airy.hpp index 06eee92383..65114089a6 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/airy.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/airy.hpp @@ -1,4 +1,5 @@ // Copyright John Maddock 2012. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt @@ -7,19 +8,24 @@ #ifndef BOOST_MATH_AIRY_HPP #define BOOST_MATH_AIRY_HPP -#include <limits> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/precision.hpp> +#include <boost/math/tools/cstdint.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/bessel.hpp> #include <boost/math/special_functions/cbrt.hpp> #include <boost/math/special_functions/detail/airy_ai_bi_zero.hpp> #include <boost/math/tools/roots.hpp> +#include <boost/math/policies/error_handling.hpp> +#include <boost/math/constants/constants.hpp> namespace boost{ namespace math{ namespace detail{ template <class T, class Policy> -T airy_ai_imp(T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED T airy_ai_imp(T x, const Policy& pol) { BOOST_MATH_STD_USING @@ -57,7 +63,7 @@ T airy_ai_imp(T x, const Policy& pol) } template <class T, class Policy> -T airy_bi_imp(T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED T airy_bi_imp(T x, const Policy& pol) { BOOST_MATH_STD_USING @@ -90,7 +96,7 @@ T airy_bi_imp(T x, const Policy& pol) } template <class T, class Policy> -T airy_ai_prime_imp(T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED T airy_ai_prime_imp(T x, const Policy& pol) { BOOST_MATH_STD_USING @@ -125,7 +131,7 @@ T airy_ai_prime_imp(T x, const Policy& pol) } template <class T, class Policy> -T airy_bi_prime_imp(T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED T airy_bi_prime_imp(T x, const Policy& pol) { BOOST_MATH_STD_USING @@ -156,7 +162,7 @@ T airy_bi_prime_imp(T x, const Policy& pol) } template <class T, class Policy> -T airy_ai_zero_imp(int m, const Policy& pol) +BOOST_MATH_GPU_ENABLED T airy_ai_zero_imp(int m, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names, needed for log, sqrt. @@ -209,7 +215,7 @@ T airy_ai_zero_imp(int m, const Policy& pol) } template <class T, class Policy> -T airy_bi_zero_imp(int m, const Policy& pol) +BOOST_MATH_GPU_ENABLED T airy_bi_zero_imp(int m, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names, needed for log, sqrt. @@ -263,7 +269,7 @@ T airy_bi_zero_imp(int m, const Policy& pol) } // namespace detail template <class T, class Policy> -inline typename tools::promote_args<T>::type airy_ai(T x, const Policy&) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type airy_ai(T x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args<T>::type result_type; @@ -279,13 +285,13 @@ inline typename tools::promote_args<T>::type airy_ai(T x, const Policy&) } template <class T> -inline typename tools::promote_args<T>::type airy_ai(T x) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type airy_ai(T x) { return airy_ai(x, policies::policy<>()); } template <class T, class Policy> -inline typename tools::promote_args<T>::type airy_bi(T x, const Policy&) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type airy_bi(T x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args<T>::type result_type; @@ -301,13 +307,13 @@ inline typename tools::promote_args<T>::type airy_bi(T x, const Policy&) } template <class T> -inline typename tools::promote_args<T>::type airy_bi(T x) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type airy_bi(T x) { return airy_bi(x, policies::policy<>()); } template <class T, class Policy> -inline typename tools::promote_args<T>::type airy_ai_prime(T x, const Policy&) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type airy_ai_prime(T x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args<T>::type result_type; @@ -323,13 +329,13 @@ inline typename tools::promote_args<T>::type airy_ai_prime(T x, const Policy&) } template <class T> -inline typename tools::promote_args<T>::type airy_ai_prime(T x) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type airy_ai_prime(T x) { return airy_ai_prime(x, policies::policy<>()); } template <class T, class Policy> -inline typename tools::promote_args<T>::type airy_bi_prime(T x, const Policy&) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type airy_bi_prime(T x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args<T>::type result_type; @@ -345,13 +351,13 @@ inline typename tools::promote_args<T>::type airy_bi_prime(T x, const Policy&) } template <class T> -inline typename tools::promote_args<T>::type airy_bi_prime(T x) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type airy_bi_prime(T x) { return airy_bi_prime(x, policies::policy<>()); } template <class T, class Policy> -inline T airy_ai_zero(int m, const Policy& /*pol*/) +BOOST_MATH_GPU_ENABLED inline T airy_ai_zero(int m, const Policy& /*pol*/) { BOOST_FPU_EXCEPTION_GUARD typedef typename policies::evaluation<T, Policy>::type value_type; @@ -371,13 +377,13 @@ inline T airy_ai_zero(int m, const Policy& /*pol*/) } template <class T> -inline T airy_ai_zero(int m) +BOOST_MATH_GPU_ENABLED inline T airy_ai_zero(int m) { return airy_ai_zero<T>(m, policies::policy<>()); } template <class T, class OutputIterator, class Policy> -inline OutputIterator airy_ai_zero( +BOOST_MATH_GPU_ENABLED inline OutputIterator airy_ai_zero( int start_index, unsigned number_of_zeros, OutputIterator out_it, @@ -399,7 +405,7 @@ inline OutputIterator airy_ai_zero( } template <class T, class OutputIterator> -inline OutputIterator airy_ai_zero( +BOOST_MATH_GPU_ENABLED inline OutputIterator airy_ai_zero( int start_index, unsigned number_of_zeros, OutputIterator out_it) @@ -408,7 +414,7 @@ inline OutputIterator airy_ai_zero( } template <class T, class Policy> -inline T airy_bi_zero(int m, const Policy& /*pol*/) +BOOST_MATH_GPU_ENABLED inline T airy_bi_zero(int m, const Policy& /*pol*/) { BOOST_FPU_EXCEPTION_GUARD typedef typename policies::evaluation<T, Policy>::type value_type; @@ -428,13 +434,13 @@ inline T airy_bi_zero(int m, const Policy& /*pol*/) } template <typename T> -inline T airy_bi_zero(int m) +BOOST_MATH_GPU_ENABLED inline T airy_bi_zero(int m) { return airy_bi_zero<T>(m, policies::policy<>()); } template <class T, class OutputIterator, class Policy> -inline OutputIterator airy_bi_zero( +BOOST_MATH_GPU_ENABLED inline OutputIterator airy_bi_zero( int start_index, unsigned number_of_zeros, OutputIterator out_it, @@ -456,7 +462,7 @@ inline OutputIterator airy_bi_zero( } template <class T, class OutputIterator> -inline OutputIterator airy_bi_zero( +BOOST_MATH_GPU_ENABLED inline OutputIterator airy_bi_zero( int start_index, unsigned number_of_zeros, OutputIterator out_it) diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/atanh.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/atanh.hpp index 543fb5fce3..9d73e568c0 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/atanh.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/atanh.hpp @@ -15,7 +15,7 @@ #pragma once #endif -#include <cmath> +#include <boost/math/tools/config.hpp> #include <boost/math/tools/precision.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/math_fwd.hpp> @@ -33,10 +33,10 @@ namespace boost // This is the main fare template<typename T, typename Policy> - inline T atanh_imp(const T x, const Policy& pol) + BOOST_MATH_GPU_ENABLED inline T atanh_imp(const T x, const Policy& pol) { BOOST_MATH_STD_USING - static const char* function = "boost::math::atanh<%1%>(%1%)"; + constexpr auto function = "boost::math::atanh<%1%>(%1%)"; if(x < -1) { @@ -87,7 +87,7 @@ namespace boost } template<typename T, typename Policy> - inline typename tools::promote_args<T>::type atanh(T x, const Policy&) + BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type atanh(T x, const Policy&) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -102,7 +102,7 @@ namespace boost "boost::math::atanh<%1%>(%1%)"); } template<typename T> - inline typename tools::promote_args<T>::type atanh(T x) + BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type atanh(T x) { return boost::math::atanh(x, policies::policy<>()); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/bessel.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/bessel.hpp index e9677d3c79..c32f251bcd 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/bessel.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/bessel.hpp @@ -15,8 +15,14 @@ # pragma once #endif -#include <limits> -#include <boost/math/special_functions/math_fwd.hpp> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/rational.hpp> +#include <boost/math/tools/promotion.hpp> +#include <boost/math/tools/series.hpp> +#include <boost/math/tools/roots.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/cstdint.hpp> #include <boost/math/special_functions/detail/bessel_jy.hpp> #include <boost/math/special_functions/detail/bessel_jn.hpp> #include <boost/math/special_functions/detail/bessel_yn.hpp> @@ -31,10 +37,8 @@ #include <boost/math/special_functions/sinc.hpp> #include <boost/math/special_functions/trunc.hpp> #include <boost/math/special_functions/round.hpp> -#include <boost/math/tools/rational.hpp> -#include <boost/math/tools/promotion.hpp> -#include <boost/math/tools/series.hpp> -#include <boost/math/tools/roots.hpp> +#include <boost/math/policies/error_handling.hpp> +#include <boost/math/special_functions/math_fwd.hpp> #ifdef _MSC_VER # pragma warning(push) @@ -50,7 +54,7 @@ struct sph_bessel_j_small_z_series_term { typedef T result_type; - sph_bessel_j_small_z_series_term(unsigned v_, T x) + BOOST_MATH_GPU_ENABLED sph_bessel_j_small_z_series_term(unsigned v_, T x) : N(0), v(v_) { BOOST_MATH_STD_USING @@ -64,7 +68,7 @@ struct sph_bessel_j_small_z_series_term term = pow(mult, T(v)) / boost::math::tgamma(v+1+T(0.5f), Policy()); mult *= -mult; } - T operator()() + BOOST_MATH_GPU_ENABLED T operator()() { T r = term; ++N; @@ -79,11 +83,11 @@ private: }; template <class T, class Policy> -inline T sph_bessel_j_small_z_series(unsigned v, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T sph_bessel_j_small_z_series(unsigned v, T x, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names sph_bessel_j_small_z_series_term<T, Policy> s(v, x); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T result = boost::math::tools::sum_series(s, boost::math::policies::get_epsilon<T, Policy>(), max_iter); @@ -92,10 +96,21 @@ inline T sph_bessel_j_small_z_series(unsigned v, T x, const Policy& pol) } template <class T, class Policy> -T cyl_bessel_j_imp(T v, T x, const bessel_no_int_tag& t, const Policy& pol) +BOOST_MATH_GPU_ENABLED T cyl_bessel_j_imp_final(T v, T x, const bessel_no_int_tag& t, const Policy& pol) { BOOST_MATH_STD_USING - static const char* function = "boost::math::bessel_j<%1%>(%1%,%1%)"; + + T result_J, y; // LCOV_EXCL_LINE + bessel_jy(v, x, &result_J, &y, need_j, pol); + return result_J; +} + +// Dispatch funtion to avoid recursion +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED T cyl_bessel_j_imp(T v, T x, const bessel_no_int_tag& t, const Policy& pol) +{ + BOOST_MATH_STD_USING + if(x < 0) { // better have integer v: @@ -105,23 +120,27 @@ T cyl_bessel_j_imp(T v, T x, const bessel_no_int_tag& t, const Policy& pol) // This branch is hit by multiprecision types only, and is // tested by our real_concept tests, but thee are excluded from coverage // due to time constraints. - T r = cyl_bessel_j_imp(v, T(-x), t, pol); + T r = cyl_bessel_j_imp_final(T(v), T(-x), t, pol); if (iround(v, pol) & 1) + { r = -r; + } + return r; // LCOV_EXCL_STOP } else + { + constexpr auto function = "boost::math::bessel_j<%1%>(%1%,%1%)"; return policies::raise_domain_error<T>(function, "Got x = %1%, but we need x >= 0", x, pol); + } } - T result_J, y; // LCOV_EXCL_LINE - bessel_jy(v, x, &result_J, &y, need_j, pol); - return result_J; + return cyl_bessel_j_imp_final(T(v), T(x), t, pol); } template <class T, class Policy> -inline T cyl_bessel_j_imp(T v, T x, const bessel_maybe_int_tag&, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T cyl_bessel_j_imp(T v, T x, const bessel_maybe_int_tag&, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names. int ival = detail::iconv(v, pol); @@ -135,14 +154,14 @@ inline T cyl_bessel_j_imp(T v, T x, const bessel_maybe_int_tag&, const Policy& p } template <class T, class Policy> -inline T cyl_bessel_j_imp(int v, T x, const bessel_int_tag&, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T cyl_bessel_j_imp(int v, T x, const bessel_int_tag&, const Policy& pol) { BOOST_MATH_STD_USING return bessel_jn(v, x, pol); } template <class T, class Policy> -inline T sph_bessel_j_imp(unsigned n, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T sph_bessel_j_imp(unsigned n, T x, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names if(x < 0) @@ -171,7 +190,7 @@ inline T sph_bessel_j_imp(unsigned n, T x, const Policy& pol) } template <class T, class Policy> -T cyl_bessel_i_imp(T v, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED T cyl_bessel_i_imp_final(T v, T x, const Policy& pol) { // // This handles all the bessel I functions, note that we don't optimise @@ -180,20 +199,7 @@ T cyl_bessel_i_imp(T v, T x, const Policy& pol) // case has better error handling too). // BOOST_MATH_STD_USING - static const char* function = "boost::math::cyl_bessel_i<%1%>(%1%,%1%)"; - if(x < 0) - { - // better have integer v: - if(floor(v) == v) - { - T r = cyl_bessel_i_imp(v, T(-x), pol); - if(iround(v, pol) & 1) - r = -r; - return r; - } - else - return policies::raise_domain_error<T>(function, "Got x = %1%, but we need x >= 0", x, pol); - } + constexpr auto function = "boost::math::cyl_bessel_i<%1%>(%1%,%1%)"; if(x == 0) { if(v < 0) @@ -210,7 +216,7 @@ T cyl_bessel_i_imp(T v, T x, const Policy& pol) } return sqrt(2 / (x * constants::pi<T>())) * sinh(x); } - if((policies::digits<T, Policy>() <= 113) && (std::numeric_limits<T>::digits <= 113) && (std::numeric_limits<T>::radix == 2)) + if((policies::digits<T, Policy>() <= 113) && (boost::math::numeric_limits<T>::digits <= 113) && (boost::math::numeric_limits<T>::radix == 2)) { if(v == 0) { @@ -228,10 +234,39 @@ T cyl_bessel_i_imp(T v, T x, const Policy& pol) return result_I; } +// Additional dispatch function to get the GPU impls happy +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED T cyl_bessel_i_imp(T v, T x, const Policy& pol) +{ + BOOST_MATH_STD_USING + constexpr auto function = "boost::math::cyl_bessel_i<%1%>(%1%,%1%)"; + + if(x < 0) + { + // better have integer v: + if(floor(v) == v) + { + T r = cyl_bessel_i_imp_final(T(v), T(-x), pol); + if(iround(v, pol) & 1) + { + r = -r; + } + + return r; + } + else + { + return policies::raise_domain_error<T>(function, "Got x = %1%, but we need x >= 0", x, pol); + } + } + + return cyl_bessel_i_imp_final(T(v), T(x), pol); +} + template <class T, class Policy> -inline T cyl_bessel_k_imp(T v, T x, const bessel_no_int_tag& /* t */, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T cyl_bessel_k_imp(T v, T x, const bessel_no_int_tag& /* t */, const Policy& pol) { - static const char* function = "boost::math::cyl_bessel_k<%1%>(%1%,%1%)"; + constexpr auto function = "boost::math::cyl_bessel_k<%1%>(%1%,%1%)"; BOOST_MATH_STD_USING if(x < 0) { @@ -248,7 +283,7 @@ inline T cyl_bessel_k_imp(T v, T x, const bessel_no_int_tag& /* t */, const Poli } template <class T, class Policy> -inline T cyl_bessel_k_imp(T v, T x, const bessel_maybe_int_tag&, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T cyl_bessel_k_imp(T v, T x, const bessel_maybe_int_tag&, const Policy& pol) { BOOST_MATH_STD_USING if((floor(v) == v)) @@ -259,15 +294,15 @@ inline T cyl_bessel_k_imp(T v, T x, const bessel_maybe_int_tag&, const Policy& p } template <class T, class Policy> -inline T cyl_bessel_k_imp(int v, T x, const bessel_int_tag&, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T cyl_bessel_k_imp(int v, T x, const bessel_int_tag&, const Policy& pol) { return bessel_kn(v, x, pol); } template <class T, class Policy> -inline T cyl_neumann_imp(T v, T x, const bessel_no_int_tag&, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T cyl_neumann_imp(T v, T x, const bessel_no_int_tag&, const Policy& pol) { - static const char* function = "boost::math::cyl_neumann<%1%>(%1%,%1%)"; + constexpr auto function = "boost::math::cyl_neumann<%1%>(%1%,%1%)"; BOOST_MATH_INSTRUMENT_VARIABLE(v); BOOST_MATH_INSTRUMENT_VARIABLE(x); @@ -291,7 +326,7 @@ inline T cyl_neumann_imp(T v, T x, const bessel_no_int_tag&, const Policy& pol) } template <class T, class Policy> -inline T cyl_neumann_imp(T v, T x, const bessel_maybe_int_tag&, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T cyl_neumann_imp(T v, T x, const bessel_maybe_int_tag&, const Policy& pol) { BOOST_MATH_STD_USING @@ -310,16 +345,16 @@ inline T cyl_neumann_imp(T v, T x, const bessel_maybe_int_tag&, const Policy& po } template <class T, class Policy> -inline T cyl_neumann_imp(int v, T x, const bessel_int_tag&, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T cyl_neumann_imp(int v, T x, const bessel_int_tag&, const Policy& pol) { return bessel_yn(v, x, pol); } template <class T, class Policy> -inline T sph_neumann_imp(unsigned v, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T sph_neumann_imp(unsigned v, T x, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names - static const char* function = "boost::math::sph_neumann<%1%>(%1%,%1%)"; + constexpr auto function = "boost::math::sph_neumann<%1%>(%1%,%1%)"; // // Nothing much to do here but check for errors, and // evaluate the function's definition directly: @@ -340,11 +375,11 @@ inline T sph_neumann_imp(unsigned v, T x, const Policy& pol) } template <class T, class Policy> -inline T cyl_bessel_j_zero_imp(T v, int m, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T cyl_bessel_j_zero_imp(T v, int m, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names, needed for floor. - static const char* function = "boost::math::cyl_bessel_j_zero<%1%>(%1%, int)"; + constexpr auto function = "boost::math::cyl_bessel_j_zero<%1%>(%1%, int)"; const T half_epsilon(boost::math::tools::epsilon<T>() / 2U); @@ -395,7 +430,7 @@ inline T cyl_bessel_j_zero_imp(T v, int m, const Policy& pol) const T guess_root = boost::math::detail::bessel_zero::cyl_bessel_j_zero_detail::initial_guess<T, Policy>((order_is_integer ? vv : v), m, pol); // Select the maximum allowed iterations from the policy. - std::uintmax_t number_of_iterations = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t number_of_iterations = policies::get_max_root_iterations<Policy>(); const T delta_lo = ((guess_root > 0.2F) ? T(0.2) : T(guess_root / 2U)); @@ -418,11 +453,11 @@ inline T cyl_bessel_j_zero_imp(T v, int m, const Policy& pol) } template <class T, class Policy> -inline T cyl_neumann_zero_imp(T v, int m, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T cyl_neumann_zero_imp(T v, int m, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names, needed for floor. - static const char* function = "boost::math::cyl_neumann_zero<%1%>(%1%, int)"; + constexpr auto function = "boost::math::cyl_neumann_zero<%1%>(%1%, int)"; // Handle non-finite order. if (!(boost::math::isfinite)(v) ) @@ -473,7 +508,7 @@ inline T cyl_neumann_zero_imp(T v, int m, const Policy& pol) const T guess_root = boost::math::detail::bessel_zero::cyl_neumann_zero_detail::initial_guess<T, Policy>(v, m, pol); // Select the maximum allowed iterations from the policy. - std::uintmax_t number_of_iterations = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t number_of_iterations = policies::get_max_root_iterations<Policy>(); const T delta_lo = ((guess_root > 0.2F) ? T(0.2) : T(guess_root / 2U)); @@ -498,7 +533,7 @@ inline T cyl_neumann_zero_imp(T v, int m, const Policy& pol) } // namespace detail template <class T1, class T2, class Policy> -inline typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_j(T1 v, T2 x, const Policy& /* pol */) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_j(T1 v, T2 x, const Policy& /* pol */) { BOOST_FPU_EXCEPTION_GUARD typedef typename detail::bessel_traits<T1, T2, Policy>::result_type result_type; @@ -514,13 +549,13 @@ inline typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_j( } template <class T1, class T2> -inline typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_j(T1 v, T2 x) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_j(T1 v, T2 x) { return cyl_bessel_j(v, x, policies::policy<>()); } template <class T, class Policy> -inline typename detail::bessel_traits<T, T, Policy>::result_type sph_bessel(unsigned v, T x, const Policy& /* pol */) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T, T, Policy>::result_type sph_bessel(unsigned v, T x, const Policy& /* pol */) { BOOST_FPU_EXCEPTION_GUARD typedef typename detail::bessel_traits<T, T, Policy>::result_type result_type; @@ -535,13 +570,13 @@ inline typename detail::bessel_traits<T, T, Policy>::result_type sph_bessel(unsi } template <class T> -inline typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_bessel(unsigned v, T x) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_bessel(unsigned v, T x) { return sph_bessel(v, x, policies::policy<>()); } template <class T1, class T2, class Policy> -inline typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_i(T1 v, T2 x, const Policy& /* pol */) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_i(T1 v, T2 x, const Policy& /* pol */) { BOOST_FPU_EXCEPTION_GUARD typedef typename detail::bessel_traits<T1, T2, Policy>::result_type result_type; @@ -556,13 +591,13 @@ inline typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_i( } template <class T1, class T2> -inline typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_i(T1 v, T2 x) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_i(T1 v, T2 x) { return cyl_bessel_i(v, x, policies::policy<>()); } template <class T1, class T2, class Policy> -inline typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_k(T1 v, T2 x, const Policy& /* pol */) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_k(T1 v, T2 x, const Policy& /* pol */) { BOOST_FPU_EXCEPTION_GUARD typedef typename detail::bessel_traits<T1, T2, Policy>::result_type result_type; @@ -578,13 +613,13 @@ inline typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_k( } template <class T1, class T2> -inline typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_k(T1 v, T2 x) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_k(T1 v, T2 x) { return cyl_bessel_k(v, x, policies::policy<>()); } template <class T1, class T2, class Policy> -inline typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_neumann(T1 v, T2 x, const Policy& /* pol */) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_neumann(T1 v, T2 x, const Policy& /* pol */) { BOOST_FPU_EXCEPTION_GUARD typedef typename detail::bessel_traits<T1, T2, Policy>::result_type result_type; @@ -600,13 +635,13 @@ inline typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_neumann(T } template <class T1, class T2> -inline typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_neumann(T1 v, T2 x) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_neumann(T1 v, T2 x) { return cyl_neumann(v, x, policies::policy<>()); } template <class T, class Policy> -inline typename detail::bessel_traits<T, T, Policy>::result_type sph_neumann(unsigned v, T x, const Policy& /* pol */) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T, T, Policy>::result_type sph_neumann(unsigned v, T x, const Policy& /* pol */) { BOOST_FPU_EXCEPTION_GUARD typedef typename detail::bessel_traits<T, T, Policy>::result_type result_type; @@ -621,13 +656,13 @@ inline typename detail::bessel_traits<T, T, Policy>::result_type sph_neumann(uns } template <class T> -inline typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_neumann(unsigned v, T x) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_neumann(unsigned v, T x) { return sph_neumann(v, x, policies::policy<>()); } template <class T, class Policy> -inline typename detail::bessel_traits<T, T, Policy>::result_type cyl_bessel_j_zero(T v, int m, const Policy& /* pol */) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T, T, Policy>::result_type cyl_bessel_j_zero(T v, int m, const Policy& /* pol */) { BOOST_FPU_EXCEPTION_GUARD typedef typename detail::bessel_traits<T, T, Policy>::result_type result_type; @@ -639,35 +674,35 @@ inline typename detail::bessel_traits<T, T, Policy>::result_type cyl_bessel_j_ze policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - static_assert( false == std::numeric_limits<T>::is_specialized - || ( true == std::numeric_limits<T>::is_specialized - && false == std::numeric_limits<T>::is_integer), + static_assert( false == boost::math::numeric_limits<T>::is_specialized + || ( true == boost::math::numeric_limits<T>::is_specialized + && false == boost::math::numeric_limits<T>::is_integer), "Order must be a floating-point type."); return policies::checked_narrowing_cast<result_type, Policy>(detail::cyl_bessel_j_zero_imp<value_type>(v, m, forwarding_policy()), "boost::math::cyl_bessel_j_zero<%1%>(%1%,%1%)"); } template <class T> -inline typename detail::bessel_traits<T, T, policies::policy<> >::result_type cyl_bessel_j_zero(T v, int m) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T, T, policies::policy<> >::result_type cyl_bessel_j_zero(T v, int m) { - static_assert( false == std::numeric_limits<T>::is_specialized - || ( true == std::numeric_limits<T>::is_specialized - && false == std::numeric_limits<T>::is_integer), + static_assert( false == boost::math::numeric_limits<T>::is_specialized + || ( true == boost::math::numeric_limits<T>::is_specialized + && false == boost::math::numeric_limits<T>::is_integer), "Order must be a floating-point type."); return cyl_bessel_j_zero<T, policies::policy<> >(v, m, policies::policy<>()); } template <class T, class OutputIterator, class Policy> -inline OutputIterator cyl_bessel_j_zero(T v, +BOOST_MATH_GPU_ENABLED inline OutputIterator cyl_bessel_j_zero(T v, int start_index, unsigned number_of_zeros, OutputIterator out_it, const Policy& pol) { - static_assert( false == std::numeric_limits<T>::is_specialized - || ( true == std::numeric_limits<T>::is_specialized - && false == std::numeric_limits<T>::is_integer), + static_assert( false == boost::math::numeric_limits<T>::is_specialized + || ( true == boost::math::numeric_limits<T>::is_specialized + && false == boost::math::numeric_limits<T>::is_integer), "Order must be a floating-point type."); for(int i = 0; i < static_cast<int>(number_of_zeros); ++i) @@ -679,7 +714,7 @@ inline OutputIterator cyl_bessel_j_zero(T v, } template <class T, class OutputIterator> -inline OutputIterator cyl_bessel_j_zero(T v, +BOOST_MATH_GPU_ENABLED inline OutputIterator cyl_bessel_j_zero(T v, int start_index, unsigned number_of_zeros, OutputIterator out_it) @@ -688,7 +723,7 @@ inline OutputIterator cyl_bessel_j_zero(T v, } template <class T, class Policy> -inline typename detail::bessel_traits<T, T, Policy>::result_type cyl_neumann_zero(T v, int m, const Policy& /* pol */) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T, T, Policy>::result_type cyl_neumann_zero(T v, int m, const Policy& /* pol */) { BOOST_FPU_EXCEPTION_GUARD typedef typename detail::bessel_traits<T, T, Policy>::result_type result_type; @@ -700,35 +735,35 @@ inline typename detail::bessel_traits<T, T, Policy>::result_type cyl_neumann_zer policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - static_assert( false == std::numeric_limits<T>::is_specialized - || ( true == std::numeric_limits<T>::is_specialized - && false == std::numeric_limits<T>::is_integer), + static_assert( false == boost::math::numeric_limits<T>::is_specialized + || ( true == boost::math::numeric_limits<T>::is_specialized + && false == boost::math::numeric_limits<T>::is_integer), "Order must be a floating-point type."); return policies::checked_narrowing_cast<result_type, Policy>(detail::cyl_neumann_zero_imp<value_type>(v, m, forwarding_policy()), "boost::math::cyl_neumann_zero<%1%>(%1%,%1%)"); } template <class T> -inline typename detail::bessel_traits<T, T, policies::policy<> >::result_type cyl_neumann_zero(T v, int m) +BOOST_MATH_GPU_ENABLED inline typename detail::bessel_traits<T, T, policies::policy<> >::result_type cyl_neumann_zero(T v, int m) { - static_assert( false == std::numeric_limits<T>::is_specialized - || ( true == std::numeric_limits<T>::is_specialized - && false == std::numeric_limits<T>::is_integer), + static_assert( false == boost::math::numeric_limits<T>::is_specialized + || ( true == boost::math::numeric_limits<T>::is_specialized + && false == boost::math::numeric_limits<T>::is_integer), "Order must be a floating-point type."); return cyl_neumann_zero<T, policies::policy<> >(v, m, policies::policy<>()); } template <class T, class OutputIterator, class Policy> -inline OutputIterator cyl_neumann_zero(T v, +BOOST_MATH_GPU_ENABLED inline OutputIterator cyl_neumann_zero(T v, int start_index, unsigned number_of_zeros, OutputIterator out_it, const Policy& pol) { - static_assert( false == std::numeric_limits<T>::is_specialized - || ( true == std::numeric_limits<T>::is_specialized - && false == std::numeric_limits<T>::is_integer), + static_assert( false == boost::math::numeric_limits<T>::is_specialized + || ( true == boost::math::numeric_limits<T>::is_specialized + && false == boost::math::numeric_limits<T>::is_integer), "Order must be a floating-point type."); for(int i = 0; i < static_cast<int>(number_of_zeros); ++i) @@ -740,7 +775,7 @@ inline OutputIterator cyl_neumann_zero(T v, } template <class T, class OutputIterator> -inline OutputIterator cyl_neumann_zero(T v, +BOOST_MATH_GPU_ENABLED inline OutputIterator cyl_neumann_zero(T v, int start_index, unsigned number_of_zeros, OutputIterator out_it) diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/beta.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/beta.hpp index c36e1f0d0c..27901a1131 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/beta.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/beta.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,18 +11,27 @@ #pragma once #endif -#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/assert.hpp> +#include <boost/math/tools/precision.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/promotion.hpp> +#include <boost/math/tools/cstdint.hpp> #include <boost/math/special_functions/gamma.hpp> -#include <boost/math/special_functions/binomial.hpp> -#include <boost/math/special_functions/factorials.hpp> #include <boost/math/special_functions/erf.hpp> #include <boost/math/special_functions/log1p.hpp> #include <boost/math/special_functions/expm1.hpp> #include <boost/math/special_functions/trunc.hpp> +#include <boost/math/special_functions/lanczos.hpp> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> +#include <boost/math/constants/constants.hpp> +#include <boost/math/special_functions/math_fwd.hpp> +#include <boost/math/special_functions/binomial.hpp> +#include <boost/math/special_functions/factorials.hpp> #include <boost/math/tools/roots.hpp> -#include <boost/math/tools/assert.hpp> -#include <cmath> namespace boost{ namespace math{ @@ -31,7 +41,7 @@ namespace detail{ // Implementation of Beta(a,b) using the Lanczos approximation: // template <class T, class Lanczos, class Policy> -T beta_imp(T a, T b, const Lanczos&, const Policy& pol) +BOOST_MATH_GPU_ENABLED T beta_imp(T a, T b, const Lanczos&, const Policy& pol) { BOOST_MATH_STD_USING // for ADL of std names @@ -85,7 +95,9 @@ T beta_imp(T a, T b, const Lanczos&, const Policy& pol) */ if(a < b) - std::swap(a, b); + { + BOOST_MATH_GPU_SAFE_SWAP(a, b); + } // Lanczos calculation: T agh = static_cast<T>(a + Lanczos::g() - 0.5f); @@ -120,8 +132,9 @@ T beta_imp(T a, T b, const Lanczos&, const Policy& pol) // Generic implementation of Beta(a,b) without Lanczos approximation support // (Caution this is slow!!!): // +#ifndef BOOST_MATH_HAS_GPU_SUPPORT template <class T, class Policy> -T beta_imp(T a, T b, const lanczos::undefined_lanczos& l, const Policy& pol) +BOOST_MATH_GPU_ENABLED T beta_imp(T a, T b, const lanczos::undefined_lanczos& l, const Policy& pol) { BOOST_MATH_STD_USING @@ -190,7 +203,7 @@ T beta_imp(T a, T b, const lanczos::undefined_lanczos& l, const Policy& pol) } } // template <class T>T beta_imp(T a, T b, const lanczos::undefined_lanczos& l) - +#endif // // Compute the leading power terms in the incomplete Beta: @@ -204,7 +217,7 @@ T beta_imp(T a, T b, const lanczos::undefined_lanczos& l, const Policy& pol) // horrendous cancellation errors. // template <class T, class Lanczos, class Policy> -T ibeta_power_terms(T a, +BOOST_MATH_GPU_ENABLED T ibeta_power_terms(T a, T b, T x, T y, @@ -242,11 +255,11 @@ T ibeta_power_terms(T a, // l1 and l2 are the base of the exponents minus one: T l1 = (x * b - y * agh) / agh; T l2 = (y * a - x * bgh) / bgh; - if(((std::min)(fabs(l1), fabs(l2)) < 0.2)) + if((BOOST_MATH_GPU_SAFE_MIN(fabs(l1), fabs(l2)) < 0.2)) { // when the base of the exponent is very near 1 we get really // gross errors unless extra care is taken: - if((l1 * l2 > 0) || ((std::min)(a, b) < 1)) + if((l1 * l2 > 0) || (BOOST_MATH_GPU_SAFE_MIN(a, b) < 1)) { // // This first branch handles the simple cases where either: @@ -282,7 +295,7 @@ T ibeta_power_terms(T a, BOOST_MATH_INSTRUMENT_VARIABLE(result); } } - else if((std::max)(fabs(l1), fabs(l2)) < 0.5) + else if(BOOST_MATH_GPU_SAFE_MAX(fabs(l1), fabs(l2)) < 0.5) { // // Both exponents are near one and both the exponents are @@ -444,8 +457,9 @@ T ibeta_power_terms(T a, // // This version is generic, slow, and does not use the Lanczos approximation. // +#ifndef BOOST_MATH_HAS_GPU_SUPPORT template <class T, class Policy> -T ibeta_power_terms(T a, +BOOST_MATH_GPU_ENABLED T ibeta_power_terms(T a, T b, T x, T y, @@ -480,7 +494,7 @@ T ibeta_power_terms(T a, bool need_logs = false; if (a < b) { - BOOST_MATH_IF_CONSTEXPR(std::numeric_limits<T>::has_infinity) + BOOST_MATH_IF_CONSTEXPR(boost::math::numeric_limits<T>::has_infinity) { power1 = pow((x * y * c * c) / (a * b), a); power2 = pow((y * c) / b, b - a); @@ -503,7 +517,7 @@ T ibeta_power_terms(T a, } else { - BOOST_MATH_IF_CONSTEXPR(std::numeric_limits<T>::has_infinity) + BOOST_MATH_IF_CONSTEXPR(boost::math::numeric_limits<T>::has_infinity) { power1 = pow((x * y * c * c) / (a * b), b); power2 = pow((x * c) / a, a - b); @@ -522,7 +536,7 @@ T ibeta_power_terms(T a, need_logs = true; } } - BOOST_MATH_IF_CONSTEXPR(std::numeric_limits<T>::has_infinity) + BOOST_MATH_IF_CONSTEXPR(boost::math::numeric_limits<T>::has_infinity) { if (!(boost::math::isnormal)(power1) || !(boost::math::isnormal)(power2)) { @@ -554,7 +568,7 @@ T ibeta_power_terms(T a, // exp(a * log1p((xb - ya) / a + p + p(xb - ya) / a)) // // Analogously, when a > b we can just swap all the terms around. - // + // // Finally, there are a few cases (x or y is unity) when the above logic can't be used // or where there is no logarithmic cancellation and accuracy is better just using // the regular formula: @@ -621,6 +635,8 @@ T ibeta_power_terms(T a, } return prefix * power1 * (power2 / bet); } + +#endif // // Series approximation to the incomplete beta: // @@ -628,8 +644,8 @@ template <class T> struct ibeta_series_t { typedef T result_type; - ibeta_series_t(T a_, T b_, T x_, T mult) : result(mult), x(x_), apn(a_), poch(1-b_), n(1) {} - T operator()() + BOOST_MATH_GPU_ENABLED ibeta_series_t(T a_, T b_, T x_, T mult) : result(mult), x(x_), apn(a_), poch(1-b_), n(1) {} + BOOST_MATH_GPU_ENABLED T operator()() { T r = result / apn; apn += 1; @@ -644,7 +660,7 @@ private: }; template <class T, class Lanczos, class Policy> -T ibeta_series(T a, T b, T x, T s0, const Lanczos&, bool normalised, T* p_derivative, T y, const Policy& pol) +BOOST_MATH_GPU_ENABLED T ibeta_series(T a, T b, T x, T s0, const Lanczos&, bool normalised, T* p_derivative, T y, const Policy& pol) { BOOST_MATH_STD_USING @@ -713,7 +729,7 @@ T ibeta_series(T a, T b, T x, T s0, const Lanczos&, bool normalised, T* p_deriva if(result < tools::min_value<T>()) return s0; // Safeguard: series can't cope with denorms. ibeta_series_t<T> s(a, b, x, result); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); result = boost::math::tools::sum_series(s, boost::math::policies::get_epsilon<T, Policy>(), max_iter, s0); policies::check_series_iterations<T>("boost::math::ibeta<%1%>(%1%, %1%, %1%) in ibeta_series (with lanczos)", max_iter, pol); return result; @@ -721,8 +737,9 @@ T ibeta_series(T a, T b, T x, T s0, const Lanczos&, bool normalised, T* p_deriva // // Incomplete Beta series again, this time without Lanczos support: // +#ifndef BOOST_MATH_HAS_GPU_SUPPORT template <class T, class Policy> -T ibeta_series(T a, T b, T x, T s0, const boost::math::lanczos::undefined_lanczos& l, bool normalised, T* p_derivative, T y, const Policy& pol) +BOOST_MATH_GPU_ENABLED T ibeta_series(T a, T b, T x, T s0, const boost::math::lanczos::undefined_lanczos& l, bool normalised, T* p_derivative, T y, const Policy& pol) { BOOST_MATH_STD_USING @@ -774,23 +791,23 @@ T ibeta_series(T a, T b, T x, T s0, const boost::math::lanczos::undefined_lanczo if(result < tools::min_value<T>()) return s0; // Safeguard: series can't cope with denorms. ibeta_series_t<T> s(a, b, x, result); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); result = boost::math::tools::sum_series(s, boost::math::policies::get_epsilon<T, Policy>(), max_iter, s0); policies::check_series_iterations<T>("boost::math::ibeta<%1%>(%1%, %1%, %1%) in ibeta_series (without lanczos)", max_iter, pol); return result; } - +#endif // // Continued fraction for the incomplete beta: // template <class T> struct ibeta_fraction2_t { - typedef std::pair<T, T> result_type; + typedef boost::math::pair<T, T> result_type; - ibeta_fraction2_t(T a_, T b_, T x_, T y_) : a(a_), b(b_), x(x_), y(y_), m(0) {} + BOOST_MATH_GPU_ENABLED ibeta_fraction2_t(T a_, T b_, T x_, T y_) : a(a_), b(b_), x(x_), y(y_), m(0) {} - result_type operator()() + BOOST_MATH_GPU_ENABLED result_type operator()() { T aN = (a + m - 1) * (a + b + m - 1) * m * (b - m) * x * x; T denom = (a + 2 * m - 1); @@ -802,7 +819,7 @@ struct ibeta_fraction2_t ++m; - return std::make_pair(aN, bN); + return boost::math::make_pair(aN, bN); } private: @@ -813,7 +830,7 @@ private: // Evaluate the incomplete beta via the continued fraction representation: // template <class T, class Policy> -inline T ibeta_fraction2(T a, T b, T x, T y, const Policy& pol, bool normalised, T* p_derivative) +BOOST_MATH_GPU_ENABLED inline T ibeta_fraction2(T a, T b, T x, T y, const Policy& pol, bool normalised, T* p_derivative) { typedef typename lanczos::lanczos<T, Policy>::type lanczos_type; BOOST_MATH_STD_USING @@ -836,7 +853,7 @@ inline T ibeta_fraction2(T a, T b, T x, T y, const Policy& pol, bool normalised, // Computes the difference between ibeta(a,b,x) and ibeta(a+k,b,x): // template <class T, class Policy> -T ibeta_a_step(T a, T b, T x, T y, int k, const Policy& pol, bool normalised, T* p_derivative) +BOOST_MATH_GPU_ENABLED T ibeta_a_step(T a, T b, T x, T y, int k, const Policy& pol, bool normalised, T* p_derivative) { typedef typename lanczos::lanczos<T, Policy>::type lanczos_type; @@ -863,6 +880,7 @@ T ibeta_a_step(T a, T b, T x, T y, int k, const Policy& pol, bool normalised, T* return prefix; } + // // This function is only needed for the non-regular incomplete beta, // it computes the delta in: @@ -870,7 +888,7 @@ T ibeta_a_step(T a, T b, T x, T y, int k, const Policy& pol, bool normalised, T* // it is currently only called for small k. // template <class T> -inline T rising_factorial_ratio(T a, T b, int k) +BOOST_MATH_GPU_ENABLED inline T rising_factorial_ratio(T a, T b, int k) { // calculate: // (a)(a+1)(a+2)...(a+k-1) @@ -901,33 +919,43 @@ struct Pn_size { // This is likely to be enough for ~35-50 digit accuracy // but it's hard to quantify exactly: + #ifndef BOOST_MATH_HAS_NVRTC static constexpr unsigned value = ::boost::math::max_factorial<T>::value >= 100 ? 50 : ::boost::math::max_factorial<T>::value >= ::boost::math::max_factorial<double>::value ? 30 : ::boost::math::max_factorial<T>::value >= ::boost::math::max_factorial<float>::value ? 15 : 1; static_assert(::boost::math::max_factorial<T>::value >= ::boost::math::max_factorial<float>::value, "Type does not provide for 35-50 digits of accuracy."); + #else + static constexpr unsigned value = 0; // Will never be called + #endif }; template <> struct Pn_size<float> { static constexpr unsigned value = 15; // ~8-15 digit accuracy +#ifndef BOOST_MATH_HAS_GPU_SUPPORT static_assert(::boost::math::max_factorial<float>::value >= 30, "Type does not provide for 8-15 digits of accuracy."); +#endif }; template <> struct Pn_size<double> { static constexpr unsigned value = 30; // 16-20 digit accuracy +#ifndef BOOST_MATH_HAS_GPU_SUPPORT static_assert(::boost::math::max_factorial<double>::value >= 60, "Type does not provide for 16-20 digits of accuracy."); +#endif }; template <> struct Pn_size<long double> { static constexpr unsigned value = 50; // ~35-50 digit accuracy +#ifndef BOOST_MATH_HAS_GPU_SUPPORT static_assert(::boost::math::max_factorial<long double>::value >= 100, "Type does not provide for ~35-50 digits of accuracy"); +#endif }; template <class T, class Policy> -T beta_small_b_large_a_series(T a, T b, T x, T y, T s0, T mult, const Policy& pol, bool normalised) +BOOST_MATH_GPU_ENABLED T beta_small_b_large_a_series(T a, T b, T x, T y, T s0, T mult, const Policy& pol, bool normalised) { typedef typename lanczos::lanczos<T, Policy>::type lanczos_type; BOOST_MATH_STD_USING @@ -1033,7 +1061,7 @@ T beta_small_b_large_a_series(T a, T b, T x, T y, T s0, T mult, const Policy& po // complement of the binomial distribution cdf and use this finite sum. // template <class T, class Policy> -T binomial_ccdf(T n, T k, T x, T y, const Policy& pol) +BOOST_MATH_GPU_ENABLED T binomial_ccdf(T n, T k, T x, T y, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names @@ -1097,10 +1125,11 @@ T binomial_ccdf(T n, T k, T x, T y, const Policy& pol) // input range and select the right implementation method for // each domain: // + template <class T, class Policy> -T ibeta_imp(T a, T b, T x, const Policy& pol, bool inv, bool normalised, T* p_derivative) +BOOST_MATH_GPU_ENABLED T ibeta_imp(T a, T b, T x, const Policy& pol, bool inv, bool normalised, T* p_derivative) { - static const char* function = "boost::math::ibeta<%1%>(%1%, %1%, %1%)"; + constexpr auto function = "boost::math::ibeta<%1%>(%1%, %1%, %1%)"; typedef typename lanczos::lanczos<T, Policy>::type lanczos_type; BOOST_MATH_STD_USING // for ADL of std math functions. @@ -1184,8 +1213,8 @@ T ibeta_imp(T a, T b, T x, const Policy& pol, bool inv, bool normalised, T* p_de } if(a == 1) { - std::swap(a, b); - std::swap(x, y); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(x, y); invert = !invert; } if(b == 1) @@ -1214,19 +1243,19 @@ T ibeta_imp(T a, T b, T x, const Policy& pol, bool inv, bool normalised, T* p_de return p; } - if((std::min)(a, b) <= 1) + if(BOOST_MATH_GPU_SAFE_MIN(a, b) <= 1) { if(x > 0.5) { - std::swap(a, b); - std::swap(x, y); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(x, y); invert = !invert; BOOST_MATH_INSTRUMENT_VARIABLE(invert); } - if((std::max)(a, b) <= 1) + if(BOOST_MATH_GPU_SAFE_MAX(a, b) <= 1) { // Both a,b < 1: - if((a >= (std::min)(T(0.2), b)) || (pow(x, a) <= 0.9)) + if((a >= BOOST_MATH_GPU_SAFE_MIN(T(0.2), b)) || (pow(x, a) <= 0.9)) { if(!invert) { @@ -1243,8 +1272,8 @@ T ibeta_imp(T a, T b, T x, const Policy& pol, bool inv, bool normalised, T* p_de } else { - std::swap(a, b); - std::swap(x, y); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(x, y); invert = !invert; if(y >= 0.3) { @@ -1309,8 +1338,8 @@ T ibeta_imp(T a, T b, T x, const Policy& pol, bool inv, bool normalised, T* p_de } else { - std::swap(a, b); - std::swap(x, y); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(x, y); invert = !invert; if(y >= 0.3) @@ -1387,15 +1416,15 @@ T ibeta_imp(T a, T b, T x, const Policy& pol, bool inv, bool normalised, T* p_de } if(lambda < 0) { - std::swap(a, b); - std::swap(x, y); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(x, y); invert = !invert; BOOST_MATH_INSTRUMENT_VARIABLE(invert); } if(b < 40) { - if((floor(a) == a) && (floor(b) == b) && (a < static_cast<T>((std::numeric_limits<int>::max)() - 100)) && (y != 1)) + if((floor(a) == a) && (floor(b) == b) && (a < static_cast<T>((boost::math::numeric_limits<int>::max)() - 100)) && (y != 1)) { // relate to the binomial distribution and use a finite sum: T k = a - 1; @@ -1502,15 +1531,15 @@ T ibeta_imp(T a, T b, T x, const Policy& pol, bool inv, bool normalised, T* p_de } // template <class T, class Lanczos>T ibeta_imp(T a, T b, T x, const Lanczos& l, bool inv, bool normalised) template <class T, class Policy> -inline T ibeta_imp(T a, T b, T x, const Policy& pol, bool inv, bool normalised) +BOOST_MATH_GPU_ENABLED inline T ibeta_imp(T a, T b, T x, const Policy& pol, bool inv, bool normalised) { return ibeta_imp(a, b, x, pol, inv, normalised, static_cast<T*>(nullptr)); } template <class T, class Policy> -T ibeta_derivative_imp(T a, T b, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED T ibeta_derivative_imp(T a, T b, T x, const Policy& pol) { - static const char* function = "ibeta_derivative<%1%>(%1%,%1%,%1%)"; + constexpr auto function = "ibeta_derivative<%1%>(%1%,%1%,%1%)"; // // start with the usual error checks: // @@ -1559,8 +1588,8 @@ T ibeta_derivative_imp(T a, T b, T x, const Policy& pol) // Some forwarding functions that disambiguate the third argument type: // template <class RT1, class RT2, class Policy> -inline typename tools::promote_args<RT1, RT2>::type - beta(RT1 a, RT2 b, const Policy&, const std::true_type*) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2>::type + beta(RT1 a, RT2 b, const Policy&, const boost::math::true_type*) { BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args<RT1, RT2>::type result_type; @@ -1576,8 +1605,8 @@ inline typename tools::promote_args<RT1, RT2>::type return policies::checked_narrowing_cast<result_type, forwarding_policy>(detail::beta_imp(static_cast<value_type>(a), static_cast<value_type>(b), evaluation_type(), forwarding_policy()), "boost::math::beta<%1%>(%1%,%1%)"); } template <class RT1, class RT2, class RT3> -inline typename tools::promote_args<RT1, RT2, RT3>::type - beta(RT1 a, RT2 b, RT3 x, const std::false_type*) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type + beta(RT1 a, RT2 b, RT3 x, const boost::math::false_type*) { return boost::math::beta(a, b, x, policies::policy<>()); } @@ -1589,7 +1618,7 @@ inline typename tools::promote_args<RT1, RT2, RT3>::type // and forward to the implementation functions: // template <class RT1, class RT2, class A> -inline typename tools::promote_args<RT1, RT2, A>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, A>::type beta(RT1 a, RT2 b, A arg) { using tag = typename policies::is_policy<A>::type; @@ -1598,14 +1627,14 @@ inline typename tools::promote_args<RT1, RT2, A>::type } template <class RT1, class RT2> -inline typename tools::promote_args<RT1, RT2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2>::type beta(RT1 a, RT2 b) { return boost::math::beta(a, b, policies::policy<>()); } template <class RT1, class RT2, class RT3, class Policy> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type beta(RT1 a, RT2 b, RT3 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD @@ -1622,7 +1651,7 @@ inline typename tools::promote_args<RT1, RT2, RT3>::type } template <class RT1, class RT2, class RT3, class Policy> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type betac(RT1 a, RT2 b, RT3 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD @@ -1638,14 +1667,14 @@ inline typename tools::promote_args<RT1, RT2, RT3>::type return policies::checked_narrowing_cast<result_type, forwarding_policy>(detail::ibeta_imp(static_cast<value_type>(a), static_cast<value_type>(b), static_cast<value_type>(x), forwarding_policy(), true, false), "boost::math::betac<%1%>(%1%,%1%,%1%)"); } template <class RT1, class RT2, class RT3> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type betac(RT1 a, RT2 b, RT3 x) { return boost::math::betac(a, b, x, policies::policy<>()); } template <class RT1, class RT2, class RT3, class Policy> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type ibeta(RT1 a, RT2 b, RT3 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD @@ -1661,14 +1690,14 @@ inline typename tools::promote_args<RT1, RT2, RT3>::type return policies::checked_narrowing_cast<result_type, forwarding_policy>(detail::ibeta_imp(static_cast<value_type>(a), static_cast<value_type>(b), static_cast<value_type>(x), forwarding_policy(), false, true), "boost::math::ibeta<%1%>(%1%,%1%,%1%)"); } template <class RT1, class RT2, class RT3> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type ibeta(RT1 a, RT2 b, RT3 x) { return boost::math::ibeta(a, b, x, policies::policy<>()); } template <class RT1, class RT2, class RT3, class Policy> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type ibetac(RT1 a, RT2 b, RT3 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD @@ -1684,14 +1713,14 @@ inline typename tools::promote_args<RT1, RT2, RT3>::type return policies::checked_narrowing_cast<result_type, forwarding_policy>(detail::ibeta_imp(static_cast<value_type>(a), static_cast<value_type>(b), static_cast<value_type>(x), forwarding_policy(), true, true), "boost::math::ibetac<%1%>(%1%,%1%,%1%)"); } template <class RT1, class RT2, class RT3> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type ibetac(RT1 a, RT2 b, RT3 x) { return boost::math::ibetac(a, b, x, policies::policy<>()); } template <class RT1, class RT2, class RT3, class Policy> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type ibeta_derivative(RT1 a, RT2 b, RT3 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD @@ -1707,7 +1736,7 @@ inline typename tools::promote_args<RT1, RT2, RT3>::type return policies::checked_narrowing_cast<result_type, forwarding_policy>(detail::ibeta_derivative_imp(static_cast<value_type>(a), static_cast<value_type>(b), static_cast<value_type>(x), forwarding_policy()), "boost::math::ibeta_derivative<%1%>(%1%,%1%,%1%)"); } template <class RT1, class RT2, class RT3> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type ibeta_derivative(RT1 a, RT2 b, RT3 x) { return boost::math::ibeta_derivative(a, b, x, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/binomial.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/binomial.hpp index e776a90bb8..3c49ff30d5 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/binomial.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/binomial.hpp @@ -10,20 +10,21 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/factorials.hpp> #include <boost/math/special_functions/beta.hpp> #include <boost/math/policies/error_handling.hpp> -#include <type_traits> namespace boost{ namespace math{ template <class T, class Policy> -T binomial_coefficient(unsigned n, unsigned k, const Policy& pol) +BOOST_MATH_GPU_ENABLED T binomial_coefficient(unsigned n, unsigned k, const Policy& pol) { - static_assert(!std::is_integral<T>::value, "Type T must not be an integral type"); + static_assert(!boost::math::is_integral<T>::value, "Type T must not be an integral type"); BOOST_MATH_STD_USING - static const char* function = "boost::math::binomial_coefficient<%1%>(unsigned, unsigned)"; + constexpr auto function = "boost::math::binomial_coefficient<%1%>(unsigned, unsigned)"; if(k > n) return policies::raise_domain_error<T>(function, "The binomial coefficient is undefined for k > n, but got k = %1%.", static_cast<T>(k), pol); T result; // LCOV_EXCL_LINE @@ -43,9 +44,9 @@ T binomial_coefficient(unsigned n, unsigned k, const Policy& pol) { // Use the beta function: if(k < n - k) - result = static_cast<T>(k * beta(static_cast<T>(k), static_cast<T>(n-k+1), pol)); + result = static_cast<T>(k * boost::math::beta(static_cast<T>(k), static_cast<T>(n-k+1), pol)); else - result = static_cast<T>((n - k) * beta(static_cast<T>(k+1), static_cast<T>(n-k), pol)); + result = static_cast<T>((n - k) * boost::math::beta(static_cast<T>(k+1), static_cast<T>(n-k), pol)); if(result == 0) return policies::raise_overflow_error<T>(function, nullptr, pol); result = 1 / result; @@ -59,7 +60,7 @@ T binomial_coefficient(unsigned n, unsigned k, const Policy& pol) // we'll promote to double: // template <> -inline float binomial_coefficient<float, policies::policy<> >(unsigned n, unsigned k, const policies::policy<>&) +BOOST_MATH_GPU_ENABLED inline float binomial_coefficient<float, policies::policy<> >(unsigned n, unsigned k, const policies::policy<>&) { typedef policies::normalise< policies::policy<>, @@ -71,7 +72,7 @@ inline float binomial_coefficient<float, policies::policy<> >(unsigned n, unsign } template <class T> -inline T binomial_coefficient(unsigned n, unsigned k) +BOOST_MATH_GPU_ENABLED inline T binomial_coefficient(unsigned n, unsigned k) { return binomial_coefficient<T>(n, k, policies::policy<>()); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/cbrt.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/cbrt.hpp index 77cd5f0aec..7fdf78d014 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/cbrt.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/cbrt.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,12 +11,16 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <boost/math/tools/rational.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/cstdint.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/fpclassify.hpp> -#include <type_traits> -#include <cstdint> namespace boost{ namespace math{ @@ -38,7 +43,7 @@ struct largest_cbrt_int_type }; template <typename T, typename Policy> -T cbrt_imp(T z, const Policy& pol) +BOOST_MATH_GPU_ENABLED T cbrt_imp(T z, const Policy& pol) { BOOST_MATH_STD_USING // @@ -51,7 +56,7 @@ T cbrt_imp(T z, const Policy& pol) // Expected Error Term: -1.231e-006 // Maximum Relative Change in Control Points: 5.982e-004 // - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { static_cast<T>(0.37568269008611818), static_cast<T>(1.3304968705558024), static_cast<T>(-1.4897101632445036), @@ -59,7 +64,7 @@ T cbrt_imp(T z, const Policy& pol) static_cast<T>(-0.6398703759826468), static_cast<T>(0.13584489959258635), }; - static const T correction[] = { + BOOST_MATH_STATIC const T correction[] = { static_cast<T>(0.62996052494743658238360530363911), // 2^-2/3 static_cast<T>(0.79370052598409973737585281963615), // 2^-1/3 static_cast<T>(1), @@ -154,7 +159,7 @@ T cbrt_imp(T z, const Policy& pol) } // namespace detail template <typename T, typename Policy> -inline typename tools::promote_args<T>::type cbrt(T z, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type cbrt(T z, const Policy& pol) { using result_type = typename tools::promote_args<T>::type; using value_type = typename policies::evaluation<result_type, Policy>::type; @@ -162,7 +167,7 @@ inline typename tools::promote_args<T>::type cbrt(T z, const Policy& pol) } template <typename T> -inline typename tools::promote_args<T>::type cbrt(T z) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type cbrt(T z) { return cbrt(z, policies::policy<>()); } @@ -170,6 +175,39 @@ inline typename tools::promote_args<T>::type cbrt(T z) } // namespace math } // namespace boost +#else // Special NVRTC handling + +namespace boost { +namespace math { + +template <typename T> +BOOST_MATH_GPU_ENABLED double cbrt(T x) +{ + return ::cbrt(x); +} + +BOOST_MATH_GPU_ENABLED inline float cbrt(float x) +{ + return ::cbrtf(x); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED double cbrt(T x, const Policy&) +{ + return ::cbrt(x); +} + +template <typename Policy> +BOOST_MATH_GPU_ENABLED float cbrt(float x, const Policy&) +{ + return ::cbrtf(x); +} + +} // namespace math +} // namespace boost + +#endif // NVRTC + #endif // BOOST_MATH_SF_CBRT_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/cos_pi.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/cos_pi.hpp index e09700ec5e..7c33614de7 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/cos_pi.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/cos_pi.hpp @@ -1,4 +1,5 @@ // Copyright (c) 2007 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,10 +11,14 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <cmath> #include <limits> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/special_functions/math_fwd.hpp> -#include <boost/math/tools/config.hpp> #include <boost/math/special_functions/trunc.hpp> #include <boost/math/tools/promotion.hpp> #include <boost/math/constants/constants.hpp> @@ -21,7 +26,7 @@ namespace boost{ namespace math{ namespace detail{ template <class T, class Policy> -T cos_pi_imp(T x, const Policy&) +BOOST_MATH_GPU_ENABLED T cos_pi_imp(T x, const Policy&) { BOOST_MATH_STD_USING // ADL of std names // cos of pi*x: @@ -34,7 +39,7 @@ T cos_pi_imp(T x, const Policy&) x = -x; } T rem = floor(x); - if(abs(floor(rem/2)*2 - rem) > std::numeric_limits<T>::epsilon()) + if(abs(floor(rem/2)*2 - rem) > boost::math::numeric_limits<T>::epsilon()) { invert = !invert; } @@ -60,7 +65,7 @@ T cos_pi_imp(T x, const Policy&) } // namespace detail template <class T, class Policy> -inline typename tools::promote_args<T>::type cos_pi(T x, const Policy&) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type cos_pi(T x, const Policy&) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -77,12 +82,47 @@ inline typename tools::promote_args<T>::type cos_pi(T x, const Policy&) } template <class T> -inline typename tools::promote_args<T>::type cos_pi(T x) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type cos_pi(T x) { return boost::math::cos_pi(x, policies::policy<>()); } } // namespace math } // namespace boost + +#else // Special handling for NVRTC + +namespace boost { +namespace math { + +template <typename T> +BOOST_MATH_GPU_ENABLED auto cos_pi(T x) +{ + return ::cospi(x); +} + +template <> +BOOST_MATH_GPU_ENABLED auto cos_pi(float x) +{ + return ::cospif(x); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED auto cos_pi(T x, const Policy&) +{ + return ::cospi(x); +} + +template <typename Policy> +BOOST_MATH_GPU_ENABLED auto cos_pi(float x, const Policy&) +{ + return ::cospif(x); +} + +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_HAS_NVRTC + #endif diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/airy_ai_bi_zero.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/airy_ai_bi_zero.hpp index 7735eb8589..e518422f17 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/airy_ai_bi_zero.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/airy_ai_bi_zero.hpp @@ -13,6 +13,8 @@ #ifndef BOOST_MATH_AIRY_AI_BI_ZERO_2013_01_20_HPP_ #define BOOST_MATH_AIRY_AI_BI_ZERO_2013_01_20_HPP_ + #include <boost/math/tools/config.hpp> + #include <boost/math/tools/tuple.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/special_functions/cbrt.hpp> @@ -21,18 +23,18 @@ { // Forward declarations of the needed Airy function implementations. template <class T, class Policy> - T airy_ai_imp(T x, const Policy& pol); + BOOST_MATH_GPU_ENABLED T airy_ai_imp(T x, const Policy& pol); template <class T, class Policy> - T airy_bi_imp(T x, const Policy& pol); + BOOST_MATH_GPU_ENABLED T airy_bi_imp(T x, const Policy& pol); template <class T, class Policy> - T airy_ai_prime_imp(T x, const Policy& pol); + BOOST_MATH_GPU_ENABLED T airy_ai_prime_imp(T x, const Policy& pol); template <class T, class Policy> - T airy_bi_prime_imp(T x, const Policy& pol); + BOOST_MATH_GPU_ENABLED T airy_bi_prime_imp(T x, const Policy& pol); namespace airy_zero { template<class T, class Policy> - T equation_as_10_4_105(const T& z, const Policy& pol) + BOOST_MATH_GPU_ENABLED T equation_as_10_4_105(const T& z, const Policy& pol) { const T one_over_z (T(1) / z); const T one_over_z_squared(one_over_z * one_over_z); @@ -54,7 +56,7 @@ namespace airy_ai_zero_detail { template<class T, class Policy> - T initial_guess(const int m, const Policy& pol) + BOOST_MATH_GPU_ENABLED T initial_guess(const int m, const Policy& pol) { T guess; @@ -106,11 +108,19 @@ class function_object_ai_and_ai_prime { public: - explicit function_object_ai_and_ai_prime(const Policy& pol) : my_pol(pol) { } + BOOST_MATH_GPU_ENABLED explicit function_object_ai_and_ai_prime(const Policy& pol) : my_pol(pol) { } - function_object_ai_and_ai_prime(const function_object_ai_and_ai_prime&) = default; + #ifdef BOOST_MATH_ENABLE_CUDA + # pragma nv_diag_suppress 20012 + #endif - boost::math::tuple<T, T> operator()(const T& x) const + BOOST_MATH_GPU_ENABLED function_object_ai_and_ai_prime(const function_object_ai_and_ai_prime&) = default; + + #ifdef BOOST_MATH_ENABLE_CUDA + # pragma nv_diag_default 20012 + #endif + + BOOST_MATH_GPU_ENABLED boost::math::tuple<T, T> operator()(const T& x) const { // Return a tuple containing both Ai(x) and Ai'(x). return boost::math::make_tuple( @@ -127,7 +137,7 @@ namespace airy_bi_zero_detail { template<class T, class Policy> - T initial_guess(const int m, const Policy& pol) + BOOST_MATH_GPU_ENABLED T initial_guess(const int m, const Policy& pol) { T guess; @@ -179,11 +189,19 @@ class function_object_bi_and_bi_prime { public: - explicit function_object_bi_and_bi_prime(const Policy& pol) : my_pol(pol) { } - - function_object_bi_and_bi_prime(const function_object_bi_and_bi_prime&) = default; - - boost::math::tuple<T, T> operator()(const T& x) const + BOOST_MATH_GPU_ENABLED explicit function_object_bi_and_bi_prime(const Policy& pol) : my_pol(pol) { } + + #ifdef BOOST_MATH_ENABLE_CUDA + # pragma nv_diag_suppress 20012 + #endif + + BOOST_MATH_GPU_ENABLED function_object_bi_and_bi_prime(const function_object_bi_and_bi_prime&) = default; + + #ifdef BOOST_MATH_ENABLE_CUDA + # pragma nv_diag_default 20012 + #endif + + BOOST_MATH_GPU_ENABLED boost::math::tuple<T, T> operator()(const T& x) const { // Return a tuple containing both Bi(x) and Bi'(x). return boost::math::make_tuple( diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_i0.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_i0.hpp index af6e8c3794..f2219cc940 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_i0.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_i0.hpp @@ -1,5 +1,6 @@ // Copyright (c) 2006 Xiaogang Zhang // Copyright (c) 2017 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -14,6 +15,9 @@ #include <boost/math/tools/rational.hpp> #include <boost/math/tools/big_constant.hpp> #include <boost/math/tools/assert.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/precision.hpp> #if defined(__GNUC__) && defined(BOOST_MATH_USE_FLOAT128) // @@ -35,24 +39,24 @@ namespace boost { namespace math { namespace detail{ template <typename T> -T bessel_i0(const T& x); +BOOST_MATH_GPU_ENABLED T bessel_i0(const T& x); template <typename T, int N> -T bessel_i0_imp(const T&, const std::integral_constant<int, N>&) +BOOST_MATH_GPU_ENABLED T bessel_i0_imp(const T&, const boost::math::integral_constant<int, N>&) { BOOST_MATH_ASSERT(0); return 0; } template <typename T> -T bessel_i0_imp(const T& x, const std::integral_constant<int, 24>&) +BOOST_MATH_GPU_ENABLED T bessel_i0_imp(const T& x, const boost::math::integral_constant<int, 24>&) { BOOST_MATH_STD_USING if(x < 7.75) { // Max error in interpolated form: 3.929e-08 // Max Error found at float precision = Poly: 1.991226e-07 - static const float P[] = { + BOOST_MATH_STATIC const float P[] = { 1.00000003928615375e+00f, 2.49999576572179639e-01f, 2.77785268558399407e-02f, @@ -70,7 +74,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 24>&) { // Max error in interpolated form: 5.195e-08 // Max Error found at float precision = Poly: 8.502534e-08 - static const float P[] = { + BOOST_MATH_STATIC const float P[] = { 3.98942651588301770e-01f, 4.98327234176892844e-02f, 2.91866904423115499e-02f, @@ -83,7 +87,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 24>&) { // Max error in interpolated form: 1.782e-09 // Max Error found at float precision = Poly: 6.473568e-08 - static const float P[] = { + BOOST_MATH_STATIC const float P[] = { 3.98942391532752700e-01f, 4.98455950638200020e-02f, 2.94835666900682535e-02f @@ -96,7 +100,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 24>&) } template <typename T> -T bessel_i0_imp(const T& x, const std::integral_constant<int, 53>&) +BOOST_MATH_GPU_ENABLED T bessel_i0_imp(const T& x, const boost::math::integral_constant<int, 53>&) { BOOST_MATH_STD_USING if(x < 7.75) @@ -104,7 +108,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 53>&) // Bessel I0 over[10 ^ -16, 7.75] // Max error in interpolated form : 3.042e-18 // Max Error found at double precision = Poly : 5.106609e-16 Cheb : 5.239199e-16 - static const double P[] = { + BOOST_MATH_STATIC const double P[] = { 1.00000000000000000e+00, 2.49999999999999909e-01, 2.77777777777782257e-02, @@ -128,7 +132,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 53>&) { // Max error in interpolated form : 1.685e-16 // Max Error found at double precision = Poly : 2.575063e-16 Cheb : 2.247615e+00 - static const double P[] = { + BOOST_MATH_STATIC const double P[] = { 3.98942280401425088e-01, 4.98677850604961985e-02, 2.80506233928312623e-02, @@ -158,7 +162,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 53>&) { // Max error in interpolated form : 2.437e-18 // Max Error found at double precision = Poly : 1.216719e-16 - static const double P[] = { + BOOST_MATH_STATIC const double P[] = { 3.98942280401432905e-01, 4.98677850491434560e-02, 2.80506308916506102e-02, @@ -173,7 +177,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 53>&) } template <typename T> -T bessel_i0_imp(const T& x, const std::integral_constant<int, 64>&) +BOOST_MATH_GPU_ENABLED T bessel_i0_imp(const T& x, const boost::math::integral_constant<int, 64>&) { BOOST_MATH_STD_USING if(x < 7.75) @@ -182,7 +186,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 64>&) // Max error in interpolated form : 3.899e-20 // Max Error found at float80 precision = Poly : 1.770840e-19 // LCOV_EXCL_START - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 9.99999999999999999961011629e-01), BOOST_MATH_BIG_CONSTANT(T, 64, 2.50000000000000001321873912e-01), BOOST_MATH_BIG_CONSTANT(T, 64, 2.77777777777777703400424216e-02), @@ -211,8 +215,8 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 64>&) // Maximum Relative Change in Control Points : 1.631e-04 // Max Error found at float80 precision = Poly : 7.811948e-21 // LCOV_EXCL_START - static const T Y = 4.051098823547363281250e-01f; - static const T P[] = { + BOOST_MATH_STATIC const T Y = 4.051098823547363281250e-01f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -6.158081780620616479492e-03), BOOST_MATH_BIG_CONSTANT(T, 64, 4.883635969834048766148e-02), BOOST_MATH_BIG_CONSTANT(T, 64, 7.892782002476195771920e-02), @@ -237,8 +241,8 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 64>&) // Maximum Relative Change in Control Points : 1.304e-03 // Max Error found at float80 precision = Poly : 2.303527e-20 // LCOV_EXCL_START - static const T Y = 4.033188819885253906250e-01f; - static const T P[] = { + BOOST_MATH_STATIC const T Y = 4.033188819885253906250e-01f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -4.376373876116109401062e-03), BOOST_MATH_BIG_CONSTANT(T, 64, 4.982899138682911273321e-02), BOOST_MATH_BIG_CONSTANT(T, 64, 3.109477529533515397644e-02), @@ -262,8 +266,8 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 64>&) // Max error in interpolated form: 1.035e-21 // Max Error found at float80 precision = Poly: 1.885872e-21 // LCOV_EXCL_START - static const T Y = 4.011702537536621093750e-01f; - static const T P[] = { + BOOST_MATH_STATIC const T Y = 4.011702537536621093750e-01f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -2.227973351806078464328e-03), BOOST_MATH_BIG_CONSTANT(T, 64, 4.986778486088017419036e-02), BOOST_MATH_BIG_CONSTANT(T, 64, 2.805066823812285310011e-02), @@ -291,7 +295,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 64>&) // Max error in interpolated form : 5.587e-20 // Max Error found at float80 precision = Poly : 8.776852e-20 // LCOV_EXCL_START - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 3.98942280401432677955074061e-01), BOOST_MATH_BIG_CONSTANT(T, 64, 4.98677850501789875615574058e-02), BOOST_MATH_BIG_CONSTANT(T, 64, 2.80506290908675604202206833e-02), @@ -320,7 +324,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 64>&) } template <typename T> -T bessel_i0_imp(const T& x, const std::integral_constant<int, 113>&) +BOOST_MATH_GPU_ENABLED T bessel_i0_imp(const T& x, const boost::math::integral_constant<int, 113>&) { BOOST_MATH_STD_USING if(x < 7.75) @@ -329,7 +333,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 113>&) // Max error in interpolated form : 1.274e-34 // Max Error found at float128 precision = Poly : 3.096091e-34 // LCOV_EXCL_START - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 1.0000000000000000000000000000000001273856e+00), BOOST_MATH_BIG_CONSTANT(T, 113, 2.4999999999999999999999999999999107477496e-01), BOOST_MATH_BIG_CONSTANT(T, 113, 2.7777777777777777777777777777881795230918e-02), @@ -364,7 +368,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 113>&) // Max error in interpolated form : 7.534e-35 // Max Error found at float128 precision = Poly : 6.123912e-34 // LCOV_EXCL_START - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 9.9999999999999999992388573069504617493518e-01), BOOST_MATH_BIG_CONSTANT(T, 113, 2.5000000000000000007304739268173096975340e-01), BOOST_MATH_BIG_CONSTANT(T, 113, 2.7777777777777777744261405400543564492074e-02), @@ -403,7 +407,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 113>&) // Max error in interpolated form : 1.808e-34 // Max Error found at float128 precision = Poly : 2.399403e-34 // LCOV_EXCL_START - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 3.9894228040870793650581242239624530714032e-01), BOOST_MATH_BIG_CONSTANT(T, 113, 4.9867780576714783790784348982178607842250e-02), BOOST_MATH_BIG_CONSTANT(T, 113, 2.8051948347934462928487999569249907599510e-02), @@ -445,7 +449,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 113>&) // Max error in interpolated form : 1.487e-34 // Max Error found at float128 precision = Poly : 1.929924e-34 // LCOV_EXCL_START - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 3.9894228040143267793996798658172135362278e-01), BOOST_MATH_BIG_CONSTANT(T, 113, 4.9867785050179084714910130342157246539820e-02), BOOST_MATH_BIG_CONSTANT(T, 113, 2.8050629090725751585266360464766768437048e-02), @@ -480,7 +484,7 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 113>&) // Max error in interpolated form : 5.459e-35 // Max Error found at float128 precision = Poly : 1.472240e-34 // LCOV_EXCL_START - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 3.9894228040143267793994605993438166526772e-01), BOOST_MATH_BIG_CONSTANT(T, 113, 4.9867785050179084742493257495245185241487e-02), BOOST_MATH_BIG_CONSTANT(T, 113, 2.8050629090725735167652437695397756897920e-02), @@ -507,33 +511,33 @@ T bessel_i0_imp(const T& x, const std::integral_constant<int, 113>&) } template <typename T> -T bessel_i0_imp(const T& x, const std::integral_constant<int, 0>&) +BOOST_MATH_GPU_ENABLED T bessel_i0_imp(const T& x, const boost::math::integral_constant<int, 0>&) { if(boost::math::tools::digits<T>() <= 24) - return bessel_i0_imp(x, std::integral_constant<int, 24>()); + return bessel_i0_imp(x, boost::math::integral_constant<int, 24>()); else if(boost::math::tools::digits<T>() <= 53) - return bessel_i0_imp(x, std::integral_constant<int, 53>()); + return bessel_i0_imp(x, boost::math::integral_constant<int, 53>()); else if(boost::math::tools::digits<T>() <= 64) - return bessel_i0_imp(x, std::integral_constant<int, 64>()); + return bessel_i0_imp(x, boost::math::integral_constant<int, 64>()); else if(boost::math::tools::digits<T>() <= 113) - return bessel_i0_imp(x, std::integral_constant<int, 113>()); + return bessel_i0_imp(x, boost::math::integral_constant<int, 113>()); BOOST_MATH_ASSERT(0); return 0; } template <typename T> -inline T bessel_i0(const T& x) +BOOST_MATH_GPU_ENABLED inline T bessel_i0(const T& x) { - typedef std::integral_constant<int, - ((std::numeric_limits<T>::digits == 0) || (std::numeric_limits<T>::radix != 2)) ? + typedef boost::math::integral_constant<int, + ((boost::math::numeric_limits<T>::digits == 0) || (boost::math::numeric_limits<T>::radix != 2)) ? 0 : - std::numeric_limits<T>::digits <= 24 ? + boost::math::numeric_limits<T>::digits <= 24 ? 24 : - std::numeric_limits<T>::digits <= 53 ? + boost::math::numeric_limits<T>::digits <= 53 ? 53 : - std::numeric_limits<T>::digits <= 64 ? + boost::math::numeric_limits<T>::digits <= 64 ? 64 : - std::numeric_limits<T>::digits <= 113 ? + boost::math::numeric_limits<T>::digits <= 113 ? 113 : -1 > tag_type; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_i1.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_i1.hpp index badc35de0b..d2c750df06 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_i1.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_i1.hpp @@ -1,4 +1,5 @@ // Copyright (c) 2017 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -17,9 +18,13 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> #include <boost/math/tools/rational.hpp> #include <boost/math/tools/big_constant.hpp> #include <boost/math/tools/assert.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/precision.hpp> #if defined(__GNUC__) && defined(BOOST_MATH_USE_FLOAT128) // @@ -38,24 +43,24 @@ namespace boost { namespace math { namespace detail{ template <typename T> -T bessel_i1(const T& x); +BOOST_MATH_GPU_ENABLED T bessel_i1(const T& x); template <typename T, int N> -T bessel_i1_imp(const T&, const std::integral_constant<int, N>&) +BOOST_MATH_GPU_ENABLED T bessel_i1_imp(const T&, const boost::math::integral_constant<int, N>&) { BOOST_MATH_ASSERT(0); return 0; } template <typename T> -T bessel_i1_imp(const T& x, const std::integral_constant<int, 24>&) +BOOST_MATH_GPU_ENABLED T bessel_i1_imp(const T& x, const boost::math::integral_constant<int, 24>&) { BOOST_MATH_STD_USING if(x < 7.75) { //Max error in interpolated form : 1.348e-08 // Max Error found at float precision = Poly : 1.469121e-07 - static const float P[] = { + BOOST_MATH_STATIC const float P[] = { 8.333333221e-02f, 6.944453712e-03f, 3.472097211e-04f, @@ -74,7 +79,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 24>&) // Max error in interpolated form: 9.000e-08 // Max Error found at float precision = Poly: 1.044345e-07 - static const float P[] = { + BOOST_MATH_STATIC const float P[] = { 3.98942115977513013e-01f, -1.49581264836620262e-01f, -4.76475741878486795e-02f, @@ -89,7 +94,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 24>&) } template <typename T> -T bessel_i1_imp(const T& x, const std::integral_constant<int, 53>&) +BOOST_MATH_GPU_ENABLED T bessel_i1_imp(const T& x, const boost::math::integral_constant<int, 53>&) { BOOST_MATH_STD_USING if(x < 7.75) @@ -98,7 +103,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 53>&) // Max error in interpolated form: 5.639e-17 // Max Error found at double precision = Poly: 1.795559e-16 - static const double P[] = { + BOOST_MATH_STATIC const double P[] = { 8.333333333333333803e-02, 6.944444444444341983e-03, 3.472222222225921045e-04, @@ -122,7 +127,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 53>&) // Max error in interpolated form: 1.796e-16 // Max Error found at double precision = Poly: 2.898731e-16 - static const double P[] = { + BOOST_MATH_STATIC const double P[] = { 3.989422804014406054e-01, -1.496033551613111533e-01, -4.675104253598537322e-02, @@ -152,7 +157,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 53>&) { // Max error in interpolated form: 1.320e-19 // Max Error found at double precision = Poly: 7.065357e-17 - static const double P[] = { + BOOST_MATH_STATIC const double P[] = { 3.989422804014314820e-01, -1.496033551467584157e-01, -4.675105322571775911e-02, @@ -167,7 +172,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 53>&) } template <typename T> -T bessel_i1_imp(const T& x, const std::integral_constant<int, 64>&) +BOOST_MATH_GPU_ENABLED T bessel_i1_imp(const T& x, const boost::math::integral_constant<int, 64>&) { BOOST_MATH_STD_USING if(x < 7.75) @@ -175,7 +180,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 64>&) // Bessel I0 over[10 ^ -16, 7.75] // Max error in interpolated form: 8.086e-21 // Max Error found at float80 precision = Poly: 7.225090e-20 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 8.33333333333333333340071817e-02), BOOST_MATH_BIG_CONSTANT(T, 64, 6.94444444444444442462728070e-03), BOOST_MATH_BIG_CONSTANT(T, 64, 3.47222222222222318886683883e-04), @@ -203,7 +208,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 64>&) // Maximum Deviation Found : 3.887e-20 // Expected Error Term : 3.887e-20 // Maximum Relative Change in Control Points : 1.681e-04 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 3.98942260530218897338680e-01), BOOST_MATH_BIG_CONSTANT(T, 64, -1.49599542849073670179540e-01), BOOST_MATH_BIG_CONSTANT(T, 64, -4.70492865454119188276875e-02), @@ -236,7 +241,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 64>&) // Maximum Relative Change in Control Points : 2.101e-03 // Max Error found at float80 precision = Poly : 6.029974e-20 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 3.98942280401431675205845e-01), BOOST_MATH_BIG_CONSTANT(T, 64, -1.49603355149968887210170e-01), BOOST_MATH_BIG_CONSTANT(T, 64, -4.67510486284376330257260e-02), @@ -258,7 +263,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 64>&) // Bessel I0 over[100, INF] // Max error in interpolated form: 2.456e-20 // Max Error found at float80 precision = Poly: 5.446356e-20 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 3.98942280401432677958445e-01), BOOST_MATH_BIG_CONSTANT(T, 64, -1.49603355150537411254359e-01), BOOST_MATH_BIG_CONSTANT(T, 64, -4.67510484842456251368526e-02), @@ -276,7 +281,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 64>&) } template <typename T> -T bessel_i1_imp(const T& x, const std::integral_constant<int, 113>&) +BOOST_MATH_GPU_ENABLED T bessel_i1_imp(const T& x, const boost::math::integral_constant<int, 113>&) { BOOST_MATH_STD_USING if(x < 7.75) @@ -285,7 +290,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 113>&) // Max error in interpolated form: 1.835e-35 // Max Error found at float128 precision = Poly: 1.645036e-34 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 8.3333333333333333333333333333333331804098e-02), BOOST_MATH_BIG_CONSTANT(T, 113, 6.9444444444444444444444444444445418303082e-03), BOOST_MATH_BIG_CONSTANT(T, 113, 3.4722222222222222222222222222119082346591e-04), @@ -321,7 +326,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 113>&) // Maximum Relative Change in Control Points : 5.204e-03 // Max Error found at float128 precision = Poly : 2.882561e-34 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 8.333333333333333326889717360850080939e-02), BOOST_MATH_BIG_CONSTANT(T, 113, 6.944444444444444511272790848815114507e-03), BOOST_MATH_BIG_CONSTANT(T, 113, 3.472222222222221892451965054394153443e-04), @@ -355,7 +360,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 113>&) // Maximum Deviation Found : 1.766e-35 // Expected Error Term : 1.021e-35 // Maximum Relative Change in Control Points : 6.228e-03 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 8.333333333333255774414858563409941233e-02), BOOST_MATH_BIG_CONSTANT(T, 113, 6.944444444444897867884955912228700291e-03), BOOST_MATH_BIG_CONSTANT(T, 113, 3.472222222220954970397343617150959467e-04), @@ -389,7 +394,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 113>&) { // Max error in interpolated form: 8.864e-36 // Max Error found at float128 precision = Poly: 8.522841e-35 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 3.989422793693152031514179994954750043e-01), BOOST_MATH_BIG_CONSTANT(T, 113, -1.496029423752889591425633234009799670e-01), BOOST_MATH_BIG_CONSTANT(T, 113, -4.682975926820553021482820043377990241e-02), @@ -421,7 +426,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 113>&) // Max error in interpolated form: 6.028e-35 // Max Error found at float128 precision = Poly: 1.368313e-34 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 3.989422804012941975429616956496046931e-01), BOOST_MATH_BIG_CONSTANT(T, 113, -1.496033550576049830976679315420681402e-01), BOOST_MATH_BIG_CONSTANT(T, 113, -4.675107835141866009896710750800622147e-02), @@ -456,7 +461,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 113>&) // Max error in interpolated form: 5.494e-35 // Max Error found at float128 precision = Poly: 1.214651e-34 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 3.989422804014326779399307367861631577e-01), BOOST_MATH_BIG_CONSTANT(T, 113, -1.496033551505372542086590873271571919e-01), BOOST_MATH_BIG_CONSTANT(T, 113, -4.675104848454290286276466276677172664e-02), @@ -486,7 +491,7 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 113>&) // Bessel I0 over[100, INF] // Max error in interpolated form: 6.081e-35 // Max Error found at float128 precision = Poly: 1.407151e-34 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 3.9894228040143267793994605993438200208417e-01), BOOST_MATH_BIG_CONSTANT(T, 113, -1.4960335515053725422747977247811372936584e-01), BOOST_MATH_BIG_CONSTANT(T, 113, -4.6751048484542891946087411826356811991039e-02), @@ -512,33 +517,33 @@ T bessel_i1_imp(const T& x, const std::integral_constant<int, 113>&) } template <typename T> -T bessel_i1_imp(const T& x, const std::integral_constant<int, 0>&) +BOOST_MATH_GPU_ENABLED T bessel_i1_imp(const T& x, const boost::math::integral_constant<int, 0>&) { if(boost::math::tools::digits<T>() <= 24) - return bessel_i1_imp(x, std::integral_constant<int, 24>()); + return bessel_i1_imp(x, boost::math::integral_constant<int, 24>()); else if(boost::math::tools::digits<T>() <= 53) - return bessel_i1_imp(x, std::integral_constant<int, 53>()); + return bessel_i1_imp(x, boost::math::integral_constant<int, 53>()); else if(boost::math::tools::digits<T>() <= 64) - return bessel_i1_imp(x, std::integral_constant<int, 64>()); + return bessel_i1_imp(x, boost::math::integral_constant<int, 64>()); else if(boost::math::tools::digits<T>() <= 113) - return bessel_i1_imp(x, std::integral_constant<int, 113>()); + return bessel_i1_imp(x, boost::math::integral_constant<int, 113>()); BOOST_MATH_ASSERT(0); return 0; } template <typename T> -inline T bessel_i1(const T& x) +inline BOOST_MATH_GPU_ENABLED T bessel_i1(const T& x) { - typedef std::integral_constant<int, - ((std::numeric_limits<T>::digits == 0) || (std::numeric_limits<T>::radix != 2)) ? + typedef boost::math::integral_constant<int, + ((boost::math::numeric_limits<T>::digits == 0) || (boost::math::numeric_limits<T>::radix != 2)) ? 0 : - std::numeric_limits<T>::digits <= 24 ? + boost::math::numeric_limits<T>::digits <= 24 ? 24 : - std::numeric_limits<T>::digits <= 53 ? + boost::math::numeric_limits<T>::digits <= 53 ? 53 : - std::numeric_limits<T>::digits <= 64 ? + boost::math::numeric_limits<T>::digits <= 64 ? 64 : - std::numeric_limits<T>::digits <= 113 ? + boost::math::numeric_limits<T>::digits <= 113 ? 113 : -1 > tag_type; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_ik.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_ik.hpp index 0c653b4753..b3e7378fd4 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_ik.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_ik.hpp @@ -1,4 +1,5 @@ // Copyright (c) 2006 Xiaogang Zhang +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,14 +11,17 @@ #pragma once #endif -#include <cmath> -#include <cstdint> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/series.hpp> +#include <boost/math/special_functions/sign.hpp> #include <boost/math/special_functions/round.hpp> #include <boost/math/special_functions/gamma.hpp> #include <boost/math/special_functions/sin_pi.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/policies/error_handling.hpp> -#include <boost/math/tools/config.hpp> // Modified Bessel functions of the first and second kind of fractional order @@ -30,13 +34,13 @@ struct cyl_bessel_i_small_z { typedef T result_type; - cyl_bessel_i_small_z(T v_, T z_) : k(0), v(v_), mult(z_*z_/4) + BOOST_MATH_GPU_ENABLED cyl_bessel_i_small_z(T v_, T z_) : k(0), v(v_), mult(z_*z_/4) { BOOST_MATH_STD_USING term = 1; } - T operator()() + BOOST_MATH_GPU_ENABLED T operator()() { T result = term; ++k; @@ -52,7 +56,7 @@ private: }; template <class T, class Policy> -inline T bessel_i_small_z_series(T v, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T bessel_i_small_z_series(T v, T x, const Policy& pol) { BOOST_MATH_STD_USING T prefix; @@ -69,7 +73,7 @@ inline T bessel_i_small_z_series(T v, T x, const Policy& pol) return prefix; cyl_bessel_i_small_z<T, Policy> s(v, x); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T result = boost::math::tools::sum_series(s, boost::math::policies::get_epsilon<T, Policy>(), max_iter); @@ -80,7 +84,7 @@ inline T bessel_i_small_z_series(T v, T x, const Policy& pol) // Calculate K(v, x) and K(v+1, x) by method analogous to // Temme, Journal of Computational Physics, vol 21, 343 (1976) template <typename T, typename Policy> -int temme_ik(T v, T x, T* result_K, T* K1, const Policy& pol) +BOOST_MATH_GPU_ENABLED int temme_ik(T v, T x, T* result_K, T* K1, const Policy& pol) { T f, h, p, q, coef, sum, sum1, tolerance; T a, b, c, d, sigma, gamma1, gamma2; @@ -157,7 +161,7 @@ int temme_ik(T v, T x, T* result_K, T* K1, const Policy& pol) // Evaluate continued fraction fv = I_(v+1) / I_v, derived from // Abramowitz and Stegun, Handbook of Mathematical Functions, 1972, 9.1.73 template <typename T, typename Policy> -int CF1_ik(T v, T x, T* fv, const Policy& pol) +BOOST_MATH_GPU_ENABLED int CF1_ik(T v, T x, T* fv, const Policy& pol) { T C, D, f, a, b, delta, tiny, tolerance; unsigned long k; @@ -204,7 +208,7 @@ int CF1_ik(T v, T x, T* fv, const Policy& pol) // z1 / z0 = U(v+1.5, 2v+1, 2x) / U(v+0.5, 2v+1, 2x), see // Thompson and Barnett, Computer Physics Communications, vol 47, 245 (1987) template <typename T, typename Policy> -int CF2_ik(T v, T x, T* Kv, T* Kv1, const Policy& pol) +BOOST_MATH_GPU_ENABLED int CF2_ik(T v, T x, T* Kv, T* Kv1, const Policy& pol) { BOOST_MATH_STD_USING using namespace boost::math::constants; @@ -297,7 +301,7 @@ enum{ // Compute I(v, x) and K(v, x) simultaneously by Temme's method, see // Temme, Journal of Computational Physics, vol 19, 324 (1975) template <typename T, typename Policy> -int bessel_ik(T v, T x, T* result_I, T* result_K, int kind, const Policy& pol) +BOOST_MATH_GPU_ENABLED int bessel_ik(T v, T x, T* result_I, T* result_K, int kind, const Policy& pol) { // Kv1 = K_(v+1), fv = I_(v+1) / I_v // Ku1 = K_(u+1), fu = I_(u+1) / I_u @@ -314,7 +318,7 @@ int bessel_ik(T v, T x, T* result_I, T* result_K, int kind, const Policy& pol) using namespace boost::math::tools; using namespace boost::math::constants; - static const char* function = "boost::math::bessel_ik<%1%>(%1%,%1%)"; + constexpr auto function = "boost::math::bessel_ik<%1%>(%1%,%1%)"; if (v < 0) { @@ -329,7 +333,7 @@ int bessel_ik(T v, T x, T* result_I, T* result_K, int kind, const Policy& pol) if (((kind & need_i) == 0) && (fabs(4 * v * v - 25) / (8 * x) < tools::forth_root_epsilon<T>())) { // A&S 9.7.2 - Iv = std::numeric_limits<T>::quiet_NaN(); // any value will do + Iv = boost::math::numeric_limits<T>::quiet_NaN(); // any value will do T mu = 4 * v * v; T eight_z = 8 * x; Kv = 1 + (mu - 1) / eight_z + (mu - 1) * (mu - 9) / (2 * eight_z * eight_z) + (mu - 1) * (mu - 9) * (mu - 25) / (6 * eight_z * eight_z * eight_z); @@ -410,7 +414,7 @@ int bessel_ik(T v, T x, T* result_I, T* result_K, int kind, const Policy& pol) } } else - Iv = std::numeric_limits<T>::quiet_NaN(); // any value will do + Iv = boost::math::numeric_limits<T>::quiet_NaN(); // any value will do } if (reflect) { diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_j0.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_j0.hpp index 9a0b26fe6b..2df027b21d 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_j0.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_j0.hpp @@ -10,6 +10,7 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/tools/rational.hpp> #include <boost/math/tools/big_constant.hpp> @@ -32,10 +33,10 @@ namespace boost { namespace math { namespace detail{ template <typename T> -T bessel_j0(T x); +BOOST_MATH_GPU_ENABLED T bessel_j0(T x); template <typename T> -T bessel_j0(T x) +BOOST_MATH_GPU_ENABLED T bessel_j0(T x) { #ifdef BOOST_MATH_INSTRUMENT static bool b = false; @@ -48,7 +49,7 @@ T bessel_j0(T x) } #endif - static const T P1[] = { + BOOST_MATH_STATIC const T P1[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -4.1298668500990866786e+11)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.7282507878605942706e+10)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -6.2140700423540120665e+08)), @@ -57,7 +58,7 @@ T bessel_j0(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0344222815443188943e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.2117036164593528341e-01)) }; - static const T Q1[] = { + BOOST_MATH_STATIC const T Q1[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.3883787996332290397e+12)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.6328198300859648632e+10)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.3985097372263433271e+08)), @@ -66,7 +67,7 @@ T bessel_j0(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.0)) }; - static const T P2[] = { + BOOST_MATH_STATIC const T P2[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.8319397969392084011e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.2254078161378989535e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -7.2879702464464618998e+03)), @@ -76,7 +77,7 @@ T bessel_j0(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 7.4321196680624245801e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.8591703355916499363e+01)) }; - static const T Q2[] = { + BOOST_MATH_STATIC const T Q2[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -3.5783478026152301072e+05)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.4599102262586308984e+05)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -8.4055062591169562211e+04)), @@ -86,7 +87,7 @@ T bessel_j0(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -2.5258076240801555057e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)) }; - static const T PC[] = { + BOOST_MATH_STATIC const T PC[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.2779090197304684302e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.1345386639580765797e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.1170523380864944322e+04)), @@ -94,7 +95,7 @@ T bessel_j0(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.5376201909008354296e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.8961548424210455236e-01)) }; - static const T QC[] = { + BOOST_MATH_STATIC const T QC[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.2779090197304684318e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.1370412495510416640e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.1215350561880115730e+04)), @@ -102,7 +103,7 @@ T bessel_j0(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.5711159858080893649e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)) }; - static const T PS[] = { + BOOST_MATH_STATIC const T PS[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -8.9226600200800094098e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.8591953644342993800e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.1183429920482737611e+02)), @@ -110,7 +111,7 @@ T bessel_j0(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.2441026745835638459e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -8.8033303048680751817e-03)) }; - static const T QS[] = { + BOOST_MATH_STATIC const T QS[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.7105024128512061905e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.1951131543434613647e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 7.2642780169211018836e+03)), @@ -118,12 +119,13 @@ T bessel_j0(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 9.0593769594993125859e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)) }; - static const T x1 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.4048255576957727686e+00)), - x2 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.5200781102863106496e+00)), - x11 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 6.160e+02)), - x12 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.42444230422723137837e-03)), - x21 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.4130e+03)), - x22 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.46860286310649596604e-04)); + + BOOST_MATH_STATIC const T x1 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.4048255576957727686e+00)); + BOOST_MATH_STATIC const T x2 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.5200781102863106496e+00)); + BOOST_MATH_STATIC const T x11 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 6.160e+02)); + BOOST_MATH_STATIC const T x12 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.42444230422723137837e-03)); + BOOST_MATH_STATIC const T x21 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.4130e+03)); + BOOST_MATH_STATIC const T x22 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.46860286310649596604e-04)); T value, factor, r, rc, rs; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_j1.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_j1.hpp index 6d354dcce7..43df9fa0c1 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_j1.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_j1.hpp @@ -10,6 +10,7 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/tools/rational.hpp> #include <boost/math/tools/big_constant.hpp> @@ -32,27 +33,29 @@ namespace boost { namespace math{ namespace detail{ template <typename T> -T bessel_j1(T x); +BOOST_MATH_GPU_ENABLED T bessel_j1(T x); template <class T> struct bessel_j1_initializer { struct init { - init() + BOOST_MATH_GPU_ENABLED init() { do_init(); } - static void do_init() + BOOST_MATH_GPU_ENABLED static void do_init() { bessel_j1(T(1)); } - void force_instantiate()const{} + BOOST_MATH_GPU_ENABLED void force_instantiate()const{} }; - static const init initializer; - static void force_instantiate() + BOOST_MATH_STATIC const init initializer; + BOOST_MATH_GPU_ENABLED static void force_instantiate() { + #ifndef BOOST_MATH_HAS_GPU_SUPPORT initializer.force_instantiate(); + #endif } }; @@ -60,11 +63,11 @@ template <class T> const typename bessel_j1_initializer<T>::init bessel_j1_initializer<T>::initializer; template <typename T> -T bessel_j1(T x) +BOOST_MATH_GPU_ENABLED T bessel_j1(T x) { bessel_j1_initializer<T>::force_instantiate(); - static const T P1[] = { + BOOST_MATH_STATIC const T P1[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.4258509801366645672e+11)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 6.6781041261492395835e+09)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.1548696764841276794e+08)), @@ -73,7 +76,7 @@ T bessel_j1(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0650724020080236441e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.0767857011487300348e-02)) }; - static const T Q1[] = { + BOOST_MATH_STATIC const T Q1[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.1868604460820175290e+12)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.2091902282580133541e+10)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.0228375140097033958e+08)), @@ -82,7 +85,7 @@ T bessel_j1(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.0)) }; - static const T P2[] = { + BOOST_MATH_STATIC const T P2[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.7527881995806511112e+16)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.6608531731299018674e+15)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -3.6658018905416665164e+13)), @@ -92,7 +95,7 @@ T bessel_j1(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -7.5023342220781607561e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.6179191852758252278e+00)) }; - static const T Q2[] = { + BOOST_MATH_STATIC const T Q2[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.7253905888447681194e+18)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.7128800897135812012e+16)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.4899346165481429307e+13)), @@ -102,7 +105,7 @@ T bessel_j1(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.3886978985861357615e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)) }; - static const T PC[] = { + BOOST_MATH_STATIC const T PC[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -4.4357578167941278571e+06)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -9.9422465050776411957e+06)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -6.6033732483649391093e+06)), @@ -111,7 +114,7 @@ T bessel_j1(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.6116166443246101165e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.0)) }; - static const T QC[] = { + BOOST_MATH_STATIC const T QC[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -4.4357578167941278568e+06)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -9.9341243899345856590e+06)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -6.5853394797230870728e+06)), @@ -120,7 +123,7 @@ T bessel_j1(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.4550094401904961825e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)) }; - static const T PS[] = { + BOOST_MATH_STATIC const T PS[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3.3220913409857223519e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.5145160675335701966e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 6.6178836581270835179e+04)), @@ -129,7 +132,7 @@ T bessel_j1(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3.5265133846636032186e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.0)) }; - static const T QS[] = { + BOOST_MATH_STATIC const T QS[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 7.0871281941028743574e+05)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.8194580422439972989e+06)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.4194606696037208929e+06)), @@ -138,12 +141,13 @@ T bessel_j1(T x) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.6383677696049909675e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)) }; - static const T x1 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3.8317059702075123156e+00)), - x2 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 7.0155866698156187535e+00)), - x11 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 9.810e+02)), - x12 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -3.2527979248768438556e-04)), - x21 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.7960e+03)), - x22 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -3.8330184381246462950e-05)); + + BOOST_MATH_STATIC const T x1 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3.8317059702075123156e+00)); + BOOST_MATH_STATIC const T x2 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 7.0155866698156187535e+00)); + BOOST_MATH_STATIC const T x11 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 9.810e+02)); + BOOST_MATH_STATIC const T x12 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -3.2527979248768438556e-04)); + BOOST_MATH_STATIC const T x21 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.7960e+03)); + BOOST_MATH_STATIC const T x22 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -3.8330184381246462950e-05)); T value, factor, r, rc, rs, w; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jn.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jn.hpp index a08af05485..73bc0c5621 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jn.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jn.hpp @@ -10,6 +10,10 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/assert.hpp> +#include <boost/math/policies/error_handling.hpp> +#include <boost/math/special_functions/gamma.hpp> #include <boost/math/special_functions/detail/bessel_j0.hpp> #include <boost/math/special_functions/detail/bessel_j1.hpp> #include <boost/math/special_functions/detail/bessel_jy.hpp> @@ -24,7 +28,7 @@ namespace boost { namespace math { namespace detail{ template <typename T, typename Policy> -T bessel_jn(int n, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED T bessel_jn(int n, T x, const Policy& pol) { T value(0), factor, current, prev, next; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy.hpp index 90e099eb77..143dce872c 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy.hpp @@ -11,16 +11,18 @@ #endif #include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/type_traits.hpp> #include <boost/math/special_functions/gamma.hpp> #include <boost/math/special_functions/sign.hpp> #include <boost/math/special_functions/hypot.hpp> #include <boost/math/special_functions/sin_pi.hpp> #include <boost/math/special_functions/cos_pi.hpp> +#include <boost/math/special_functions/round.hpp> #include <boost/math/special_functions/detail/bessel_jy_asym.hpp> #include <boost/math/special_functions/detail/bessel_jy_series.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/policies/error_handling.hpp> -#include <complex> // Bessel functions of the first and second kind of fractional order @@ -38,7 +40,7 @@ namespace boost { namespace math { // try it and see... // template <class T, class Policy> - bool hankel_PQ(T v, T x, T* p, T* q, const Policy& ) + BOOST_MATH_GPU_ENABLED bool hankel_PQ(T v, T x, T* p, T* q, const Policy& ) { BOOST_MATH_STD_USING T tolerance = 2 * policies::get_epsilon<T, Policy>(); @@ -70,7 +72,7 @@ namespace boost { namespace math { // Calculate Y(v, x) and Y(v+1, x) by Temme's method, see // Temme, Journal of Computational Physics, vol 21, 343 (1976) template <typename T, typename Policy> - int temme_jy(T v, T x, T* Y, T* Y1, const Policy& pol) + BOOST_MATH_GPU_ENABLED int temme_jy(T v, T x, T* Y, T* Y1, const Policy& pol) { T g, h, p, q, f, coef, sum, sum1, tolerance; T a, d, e, sigma; @@ -139,7 +141,7 @@ namespace boost { namespace math { // Evaluate continued fraction fv = J_(v+1) / J_v, see // Abramowitz and Stegun, Handbook of Mathematical Functions, 1972, 9.1.73 template <typename T, typename Policy> - int CF1_jy(T v, T x, T* fv, int* sign, const Policy& pol) + BOOST_MATH_GPU_ENABLED int CF1_jy(T v, T x, T* fv, int* sign, const Policy& pol) { T C, D, f, a, b, delta, tiny, tolerance; unsigned long k; @@ -185,7 +187,7 @@ namespace boost { namespace math { // real values only. // template <typename T, typename Policy> - int CF2_jy(T v, T x, T* p, T* q, const Policy& pol) + BOOST_MATH_GPU_ENABLED int CF2_jy(T v, T x, T* p, T* q, const Policy& pol) { BOOST_MATH_STD_USING @@ -254,13 +256,13 @@ namespace boost { namespace math { return 0; } - static const int need_j = 1; - static const int need_y = 2; + BOOST_MATH_STATIC const int need_j = 1; + BOOST_MATH_STATIC const int need_y = 2; // Compute J(v, x) and Y(v, x) simultaneously by Steed's method, see // Barnett et al, Computer Physics Communications, vol 8, 377 (1974) template <typename T, typename Policy> - int bessel_jy(T v, T x, T* J, T* Y, int kind, const Policy& pol) + BOOST_MATH_GPU_ENABLED int bessel_jy(T v, T x, T* J, T* Y, int kind, const Policy& pol) { BOOST_MATH_ASSERT(x >= 0); @@ -273,7 +275,7 @@ namespace boost { namespace math { T cp = 0; T sp = 0; - static const char* function = "boost::math::bessel_jy<%1%>(%1%,%1%)"; + constexpr auto function = "boost::math::bessel_jy<%1%>(%1%,%1%)"; BOOST_MATH_STD_USING using namespace boost::math::tools; @@ -284,7 +286,7 @@ namespace boost { namespace math { reflect = true; v = -v; // v is non-negative from here } - if (v > static_cast<T>((std::numeric_limits<int>::max)())) + if (v > static_cast<T>((boost::math::numeric_limits<int>::max)())) { *J = *Y = policies::raise_evaluation_error<T>(function, "Order of Bessel function is too large to evaluate: got %1%", v, pol); return 1; // LCOV_EXCL_LINE previous line will throw. @@ -310,10 +312,10 @@ namespace boost { namespace math { else if(kind & need_j) *J = policies::raise_domain_error<T>(function, "Value of Bessel J_v(x) is complex-infinity at %1%", x, pol); // complex infinity else - *J = std::numeric_limits<T>::quiet_NaN(); // LCOV_EXCL_LINE, we should never get here, any value will do, not using J. + *J = boost::math::numeric_limits<T>::quiet_NaN(); // LCOV_EXCL_LINE, we should never get here, any value will do, not using J. if((kind & need_y) == 0) - *Y = std::numeric_limits<T>::quiet_NaN(); // any value will do, not using Y. + *Y = boost::math::numeric_limits<T>::quiet_NaN(); // any value will do, not using Y. else { // We shoud never get here: @@ -333,7 +335,7 @@ namespace boost { namespace math { // and divergent which leads to large errors :-( // Jv = bessel_j_small_z_series(v, x, pol); - Yv = std::numeric_limits<T>::quiet_NaN(); + Yv = boost::math::numeric_limits<T>::quiet_NaN(); } else if((x < 1) && (u != 0) && (log(policies::get_epsilon<T, Policy>() / 2) > v * log((x/2) * (x/2) / v))) { @@ -344,7 +346,7 @@ namespace boost { namespace math { if(kind&need_j) Jv = bessel_j_small_z_series(v, x, pol); else - Jv = std::numeric_limits<T>::quiet_NaN(); + Jv = boost::math::numeric_limits<T>::quiet_NaN(); if((org_kind&need_y && (!reflect || (cp != 0))) || (org_kind & need_j && (reflect && (sp != 0)))) { @@ -352,7 +354,7 @@ namespace boost { namespace math { Yv = bessel_y_small_z_series(v, x, &Yv_scale, pol); } else - Yv = std::numeric_limits<T>::quiet_NaN(); + Yv = boost::math::numeric_limits<T>::quiet_NaN(); } else if((u == 0) && (x < policies::get_epsilon<T, Policy>())) { @@ -363,7 +365,7 @@ namespace boost { namespace math { if(kind&need_j) Jv = bessel_j_small_z_series(v, x, pol); else - Jv = std::numeric_limits<T>::quiet_NaN(); + Jv = boost::math::numeric_limits<T>::quiet_NaN(); if((org_kind&need_y && (!reflect || (cp != 0))) || (org_kind & need_j && (reflect && (sp != 0)))) { @@ -371,7 +373,7 @@ namespace boost { namespace math { Yv = bessel_yn_small_z(n, x, &Yv_scale, pol); } else - Yv = std::numeric_limits<T>::quiet_NaN(); + Yv = boost::math::numeric_limits<T>::quiet_NaN(); // LCOV_EXCL_STOP } else if(asymptotic_bessel_large_x_limit(v, x)) @@ -381,13 +383,13 @@ namespace boost { namespace math { Yv = asymptotic_bessel_y_large_x_2(v, x, pol); } else - Yv = std::numeric_limits<T>::quiet_NaN(); // any value will do, we're not using it. + Yv = boost::math::numeric_limits<T>::quiet_NaN(); // any value will do, we're not using it. if(kind&need_j) { Jv = asymptotic_bessel_j_large_x_2(v, x, pol); } else - Jv = std::numeric_limits<T>::quiet_NaN(); // any value will do, we're not using it. + Jv = boost::math::numeric_limits<T>::quiet_NaN(); // any value will do, we're not using it. } else if((x > 8) && hankel_PQ(v, x, &p, &q, pol)) { @@ -449,7 +451,7 @@ namespace boost { namespace math { Jv = scale * W / (Yv * fv - Yv1); // Wronskian relation } else - Jv = std::numeric_limits<T>::quiet_NaN(); // any value will do, we're not using it. + Jv = boost::math::numeric_limits<T>::quiet_NaN(); // any value will do, we're not using it. Yv_scale = scale; } else // x in (2, \infty) @@ -564,7 +566,7 @@ namespace boost { namespace math { Yv = prev; } else - Yv = std::numeric_limits<T>::quiet_NaN(); // any value will do, we're not using it. + Yv = boost::math::numeric_limits<T>::quiet_NaN(); // any value will do, we're not using it. } if (reflect) diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy_asym.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy_asym.hpp index cb09b202d5..51e4efafca 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy_asym.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy_asym.hpp @@ -16,12 +16,15 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/constants/constants.hpp> #include <boost/math/special_functions/factorials.hpp> +#include <boost/math/special_functions/fpclassify.hpp> namespace boost{ namespace math{ namespace detail{ template <class T> -inline T asymptotic_bessel_amplitude(T v, T x) +BOOST_MATH_GPU_ENABLED inline T asymptotic_bessel_amplitude(T v, T x) { // Calculate the amplitude of J(v, x) and Y(v, x) for large // x: see A&S 9.2.28. @@ -39,7 +42,7 @@ inline T asymptotic_bessel_amplitude(T v, T x) } template <class T> -T asymptotic_bessel_phase_mx(T v, T x) +BOOST_MATH_GPU_ENABLED T asymptotic_bessel_phase_mx(T v, T x) { // // Calculate the phase of J(v, x) and Y(v, x) for large x. @@ -63,7 +66,7 @@ T asymptotic_bessel_phase_mx(T v, T x) } template <class T, class Policy> -inline T asymptotic_bessel_y_large_x_2(T v, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T asymptotic_bessel_y_large_x_2(T v, T x, const Policy& pol) { // See A&S 9.2.19. BOOST_MATH_STD_USING @@ -93,7 +96,7 @@ inline T asymptotic_bessel_y_large_x_2(T v, T x, const Policy& pol) } template <class T, class Policy> -inline T asymptotic_bessel_j_large_x_2(T v, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T asymptotic_bessel_j_large_x_2(T v, T x, const Policy& pol) { // See A&S 9.2.19. BOOST_MATH_STD_USING @@ -124,7 +127,7 @@ inline T asymptotic_bessel_j_large_x_2(T v, T x, const Policy& pol) } template <class T> -inline bool asymptotic_bessel_large_x_limit(int v, const T& x) +BOOST_MATH_GPU_ENABLED inline bool asymptotic_bessel_large_x_limit(int v, const T& x) { BOOST_MATH_STD_USING // @@ -142,7 +145,7 @@ inline bool asymptotic_bessel_large_x_limit(int v, const T& x) } template <class T> -inline bool asymptotic_bessel_large_x_limit(const T& v, const T& x) +BOOST_MATH_GPU_ENABLED inline bool asymptotic_bessel_large_x_limit(const T& v, const T& x) { BOOST_MATH_STD_USING // @@ -155,11 +158,11 @@ inline bool asymptotic_bessel_large_x_limit(const T& v, const T& x) // error rates either side of the divide for v < 10000. // At double precision eps^1/8 ~= 0.01. // - return (std::max)(T(fabs(v)), T(1)) < x * sqrt(tools::forth_root_epsilon<T>()); + return BOOST_MATH_GPU_SAFE_MAX(T(fabs(v)), T(1)) < x * sqrt(tools::forth_root_epsilon<T>()); } template <class T, class Policy> -void temme_asymptotic_y_small_x(T v, T x, T* Y, T* Y1, const Policy& pol) +BOOST_MATH_GPU_ENABLED void temme_asymptotic_y_small_x(T v, T x, T* Y, T* Y1, const Policy& pol) { T c = 1; T p = (v / boost::math::sin_pi(v, pol)) * pow(x / 2, -v) / boost::math::tgamma(1 - v, pol); @@ -193,7 +196,7 @@ void temme_asymptotic_y_small_x(T v, T x, T* Y, T* Y1, const Policy& pol) } template <class T, class Policy> -T asymptotic_bessel_i_large_x(T v, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED T asymptotic_bessel_i_large_x(T v, T x, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names T s = 1; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy_series.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy_series.hpp index db46f36400..5c083f3483 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy_series.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy_series.hpp @@ -10,10 +10,9 @@ #pragma once #endif -#include <cmath> -#include <cstdint> #include <boost/math/tools/config.hpp> #include <boost/math/tools/assert.hpp> +#include <boost/math/tools/cstdint.hpp> namespace boost { namespace math { namespace detail{ @@ -22,7 +21,7 @@ struct bessel_j_small_z_series_term { typedef T result_type; - bessel_j_small_z_series_term(T v_, T x) + BOOST_MATH_GPU_ENABLED bessel_j_small_z_series_term(T v_, T x) : N(0), v(v_) { BOOST_MATH_STD_USING @@ -30,7 +29,7 @@ struct bessel_j_small_z_series_term mult *= -mult; term = 1; } - T operator()() + BOOST_MATH_GPU_ENABLED T operator()() { T r = term; ++N; @@ -49,7 +48,7 @@ private: // Converges rapidly for all z << v. // template <class T, class Policy> -inline T bessel_j_small_z_series(T v, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T bessel_j_small_z_series(T v, T x, const Policy& pol) { BOOST_MATH_STD_USING T prefix; @@ -66,7 +65,7 @@ inline T bessel_j_small_z_series(T v, T x, const Policy& pol) return prefix; bessel_j_small_z_series_term<T, Policy> s(v, x); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T result = boost::math::tools::sum_series(s, boost::math::policies::get_epsilon<T, Policy>(), max_iter); @@ -79,7 +78,7 @@ struct bessel_y_small_z_series_term_a { typedef T result_type; - bessel_y_small_z_series_term_a(T v_, T x) + BOOST_MATH_GPU_ENABLED bessel_y_small_z_series_term_a(T v_, T x) : N(0), v(v_) { BOOST_MATH_STD_USING @@ -87,7 +86,7 @@ struct bessel_y_small_z_series_term_a mult *= -mult; term = 1; } - T operator()() + BOOST_MATH_GPU_ENABLED T operator()() { BOOST_MATH_STD_USING T r = term; @@ -107,7 +106,7 @@ struct bessel_y_small_z_series_term_b { typedef T result_type; - bessel_y_small_z_series_term_b(T v_, T x) + BOOST_MATH_GPU_ENABLED bessel_y_small_z_series_term_b(T v_, T x) : N(0), v(v_) { BOOST_MATH_STD_USING @@ -115,7 +114,7 @@ struct bessel_y_small_z_series_term_b mult *= -mult; term = 1; } - T operator()() + BOOST_MATH_GPU_ENABLED T operator()() { T r = term; ++N; @@ -138,10 +137,10 @@ private: // eps/2 * v^v(x/2)^-v > (x/2)^v or log(eps/2) > v log((x/2)^2/v) // template <class T, class Policy> -inline T bessel_y_small_z_series(T v, T x, T* pscale, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T bessel_y_small_z_series(T v, T x, T* pscale, const Policy& pol) { BOOST_MATH_STD_USING - static const char* function = "bessel_y_small_z_series<%1%>(%1%,%1%)"; + constexpr auto function = "bessel_y_small_z_series<%1%>(%1%,%1%)"; T prefix; T gam; T p = log(x / 2); @@ -183,7 +182,7 @@ inline T bessel_y_small_z_series(T v, T x, T* pscale, const Policy& pol) prefix = -exp(prefix); } bessel_y_small_z_series_term_a<T, Policy> s(v, x); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); *pscale = scale; T result = boost::math::tools::sum_series(s, boost::math::policies::get_epsilon<T, Policy>(), max_iter); @@ -211,7 +210,7 @@ inline T bessel_y_small_z_series(T v, T x, T* pscale, const Policy& pol) } template <class T, class Policy> -T bessel_yn_small_z(int n, T z, T* scale, const Policy& pol) +BOOST_MATH_GPU_ENABLED T bessel_yn_small_z(int n, T z, T* scale, const Policy& pol) { // // See http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/06/01/04/01/02/ diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy_zero.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy_zero.hpp index cb1fc48d83..15671c0df7 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy_zero.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_jy_zero.hpp @@ -18,19 +18,30 @@ #ifndef BOOST_MATH_BESSEL_JY_ZERO_2013_01_18_HPP_ #define BOOST_MATH_BESSEL_JY_ZERO_2013_01_18_HPP_ - #include <algorithm> + #include <boost/math/tools/config.hpp> + #include <boost/math/tools/tuple.hpp> + #include <boost/math/tools/precision.hpp> + #include <boost/math/tools/cstdint.hpp> + #include <boost/math/tools/roots.hpp> #include <boost/math/constants/constants.hpp> - #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/cbrt.hpp> #include <boost/math/special_functions/detail/airy_ai_bi_zero.hpp> + #ifndef BOOST_MATH_HAS_NVRTC + #include <boost/math/special_functions/math_fwd.hpp> + #endif + + #ifdef BOOST_MATH_ENABLE_CUDA + # pragma nv_diag_suppress 20012 + #endif + namespace boost { namespace math { namespace detail { namespace bessel_zero { template<class T> - T equation_nist_10_21_19(const T& v, const T& a) + BOOST_MATH_GPU_ENABLED T equation_nist_10_21_19(const T& v, const T& a) { // Get the initial estimate of the m'th root of Jv or Yv. // This subroutine is used for the order m with m > 1. @@ -57,11 +68,11 @@ class equation_as_9_3_39_and_its_derivative { public: - explicit equation_as_9_3_39_and_its_derivative(const T& zt) : zeta(zt) { } + BOOST_MATH_GPU_ENABLED explicit equation_as_9_3_39_and_its_derivative(const T& zt) : zeta(zt) { } - equation_as_9_3_39_and_its_derivative(const equation_as_9_3_39_and_its_derivative&) = default; + BOOST_MATH_GPU_ENABLED equation_as_9_3_39_and_its_derivative(const equation_as_9_3_39_and_its_derivative&) = default; - boost::math::tuple<T, T> operator()(const T& z) const + BOOST_MATH_GPU_ENABLED boost::math::tuple<T, T> operator()(const T& z) const { BOOST_MATH_STD_USING // ADL of std names, needed for acos, sqrt. @@ -86,7 +97,7 @@ }; template<class T, class Policy> - static T equation_as_9_5_26(const T& v, const T& ai_bi_root, const Policy& pol) + BOOST_MATH_GPU_ENABLED T equation_as_9_5_26(const T& v, const T& ai_bi_root, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names, needed for log, sqrt. @@ -132,9 +143,9 @@ // Select the maximum allowed iterations based on the number // of decimal digits in the numeric type T, being at least 12. - const auto iterations_allowed = static_cast<std::uintmax_t>((std::max)(12, my_digits10 * 2)); + const auto iterations_allowed = static_cast<boost::math::uintmax_t>(BOOST_MATH_GPU_SAFE_MAX(12, my_digits10 * 2)); - std::uintmax_t iterations_used = iterations_allowed; + boost::math::uintmax_t iterations_used = iterations_allowed; // Calculate the root of z as a function of zeta. const T z = boost::math::tools::newton_raphson_iterate( @@ -142,7 +153,7 @@ z_estimate, range_zmin, range_zmax, - (std::min)(boost::math::tools::digits<T>(), boost::math::tools::digits<float>()), + BOOST_MATH_GPU_SAFE_MIN(boost::math::tools::digits<T>(), boost::math::tools::digits<float>()), iterations_used); static_cast<void>(iterations_used); @@ -168,7 +179,7 @@ namespace cyl_bessel_j_zero_detail { template<class T, class Policy> - T equation_nist_10_21_40_a(const T& v, const Policy& pol) + BOOST_MATH_GPU_ENABLED T equation_nist_10_21_40_a(const T& v, const Policy& pol) { const T v_pow_third(boost::math::cbrt(v, pol)); const T v_pow_minus_two_thirds(T(1) / (v_pow_third * v_pow_third)); @@ -185,13 +196,13 @@ class function_object_jv { public: - function_object_jv(const T& v, + BOOST_MATH_GPU_ENABLED function_object_jv(const T& v, const Policy& pol) : my_v(v), my_pol(pol) { } - function_object_jv(const function_object_jv&) = default; + BOOST_MATH_GPU_ENABLED function_object_jv(const function_object_jv&) = default; - T operator()(const T& x) const + BOOST_MATH_GPU_ENABLED T operator()(const T& x) const { return boost::math::cyl_bessel_j(my_v, x, my_pol); } @@ -206,15 +217,16 @@ class function_object_jv_and_jv_prime { public: - function_object_jv_and_jv_prime(const T& v, - const bool order_is_zero, - const Policy& pol) : my_v(v), + BOOST_MATH_GPU_ENABLED function_object_jv_and_jv_prime( + const T& v, + const bool order_is_zero, + const Policy& pol) : my_v(v), my_order_is_zero(order_is_zero), my_pol(pol) { } function_object_jv_and_jv_prime(const function_object_jv_and_jv_prime&) = default; - boost::math::tuple<T, T> operator()(const T& x) const + BOOST_MATH_GPU_ENABLED boost::math::tuple<T, T> operator()(const T& x) const { // Obtain Jv(x) and Jv'(x). // Chris's original code called the Bessel function implementation layer direct, @@ -246,10 +258,10 @@ const function_object_jv_and_jv_prime& operator=(const function_object_jv_and_jv_prime&) = delete; }; - template<class T> bool my_bisection_unreachable_tolerance(const T&, const T&) { return false; } + template<class T> BOOST_MATH_GPU_ENABLED bool my_bisection_unreachable_tolerance(const T&, const T&) { return false; } template<class T, class Policy> - T initial_guess(const T& v, const int m, const Policy& pol) + BOOST_MATH_GPU_ENABLED T initial_guess(const T& v, const int m, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names, needed for floor. @@ -325,7 +337,7 @@ } // Perform several steps of bisection iteration to refine the guess. - std::uintmax_t number_of_iterations(12U); + boost::math::uintmax_t number_of_iterations(12U); // Do the bisection iteration. const boost::math::tuple<T, T> guess_pair = @@ -390,7 +402,7 @@ namespace cyl_neumann_zero_detail { template<class T, class Policy> - T equation_nist_10_21_40_b(const T& v, const Policy& pol) + BOOST_MATH_GPU_ENABLED T equation_nist_10_21_40_b(const T& v, const Policy& pol) { const T v_pow_third(boost::math::cbrt(v, pol)); const T v_pow_minus_two_thirds(T(1) / (v_pow_third * v_pow_third)); @@ -407,13 +419,13 @@ class function_object_yv { public: - function_object_yv(const T& v, - const Policy& pol) : my_v(v), - my_pol(pol) { } + BOOST_MATH_GPU_ENABLED function_object_yv(const T& v, + const Policy& pol) : my_v(v), + my_pol(pol) { } - function_object_yv(const function_object_yv&) = default; + BOOST_MATH_GPU_ENABLED function_object_yv(const function_object_yv&) = default; - T operator()(const T& x) const + BOOST_MATH_GPU_ENABLED T operator()(const T& x) const { return boost::math::cyl_neumann(my_v, x, my_pol); } @@ -428,13 +440,13 @@ class function_object_yv_and_yv_prime { public: - function_object_yv_and_yv_prime(const T& v, - const Policy& pol) : my_v(v), - my_pol(pol) { } + BOOST_MATH_GPU_ENABLED function_object_yv_and_yv_prime(const T& v, + const Policy& pol) : my_v(v), + my_pol(pol) { } - function_object_yv_and_yv_prime(const function_object_yv_and_yv_prime&) = default; + BOOST_MATH_GPU_ENABLED function_object_yv_and_yv_prime(const function_object_yv_and_yv_prime&) = default; - boost::math::tuple<T, T> operator()(const T& x) const + BOOST_MATH_GPU_ENABLED boost::math::tuple<T, T> operator()(const T& x) const { const T half_epsilon(boost::math::tools::epsilon<T>() / 2U); @@ -469,10 +481,10 @@ const function_object_yv_and_yv_prime& operator=(const function_object_yv_and_yv_prime&) = delete; }; - template<class T> bool my_bisection_unreachable_tolerance(const T&, const T&) { return false; } + template<class T> BOOST_MATH_GPU_ENABLED bool my_bisection_unreachable_tolerance(const T&, const T&) { return false; } template<class T, class Policy> - T initial_guess(const T& v, const int m, const Policy& pol) + BOOST_MATH_GPU_ENABLED T initial_guess(const T& v, const int m, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names, needed for floor. @@ -560,7 +572,7 @@ } // Perform several steps of bisection iteration to refine the guess. - std::uintmax_t number_of_iterations(12U); + boost::math::uintmax_t number_of_iterations(12U); // Do the bisection iteration. const boost::math::tuple<T, T> guess_pair = @@ -624,4 +636,8 @@ } // namespace bessel_zero } } } // namespace boost::math::detail + #ifdef BOOST_MATH_ENABLE_CUDA + # pragma nv_diag_default 20012 + #endif + #endif // BOOST_MATH_BESSEL_JY_ZERO_2013_01_18_HPP_ diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_k0.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_k0.hpp index f29ffa75c4..bab202b6cd 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_k0.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_k0.hpp @@ -13,10 +13,14 @@ #pragma warning(disable:4702) // Unreachable code (release mode only warning) #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/precision.hpp> #include <boost/math/tools/rational.hpp> #include <boost/math/tools/big_constant.hpp> -#include <boost/math/policies/error_handling.hpp> #include <boost/math/tools/assert.hpp> +#include <boost/math/policies/error_handling.hpp> #if defined(__GNUC__) && defined(BOOST_MATH_USE_FLOAT128) // @@ -44,35 +48,37 @@ namespace boost { namespace math { namespace detail{ template <typename T> -T bessel_k0(const T& x); +BOOST_MATH_GPU_ENABLED T bessel_k0(const T& x); template <class T, class tag> struct bessel_k0_initializer { struct init { - init() + BOOST_MATH_GPU_ENABLED init() { do_init(tag()); } - static void do_init(const std::integral_constant<int, 113>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 113>&) { bessel_k0(T(0.5)); bessel_k0(T(1.5)); } - static void do_init(const std::integral_constant<int, 64>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 64>&) { bessel_k0(T(0.5)); bessel_k0(T(1.5)); } template <class U> - static void do_init(const U&){} - void force_instantiate()const{} + BOOST_MATH_GPU_ENABLED static void do_init(const U&){} + BOOST_MATH_GPU_ENABLED void force_instantiate()const{} }; - static const init initializer; - static void force_instantiate() + BOOST_MATH_STATIC const init initializer; + BOOST_MATH_GPU_ENABLED static void force_instantiate() { + #ifndef BOOST_MATH_HAS_GPU_SUPPORT initializer.force_instantiate(); + #endif } }; @@ -81,14 +87,14 @@ const typename bessel_k0_initializer<T, tag>::init bessel_k0_initializer<T, tag> template <typename T, int N> -T bessel_k0_imp(const T&, const std::integral_constant<int, N>&) +BOOST_MATH_GPU_ENABLED T bessel_k0_imp(const T&, const boost::math::integral_constant<int, N>&) { BOOST_MATH_ASSERT(0); return 0; } template <typename T> -T bessel_k0_imp(const T& x, const std::integral_constant<int, 24>&) +BOOST_MATH_GPU_ENABLED T bessel_k0_imp(const T& x, const boost::math::integral_constant<int, 24>&) { BOOST_MATH_STD_USING if(x <= 1) @@ -97,14 +103,14 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 24>&) // Expected Error Term : -2.358e-09 // Maximum Relative Change in Control Points : 9.552e-02 // Max Error found at float precision = Poly : 4.448220e-08 - static const T Y = 1.137250900268554688f; - static const T P[] = + BOOST_MATH_STATIC const T Y = 1.137250900268554688f; + BOOST_MATH_STATIC const T P[] = { -1.372508979104259711e-01f, 2.622545986273687617e-01f, 5.047103728247919836e-03f }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { 1.000000000000000000e+00f, -8.928694018000029415e-02f, @@ -117,7 +123,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 24>&) // Expected Error Term : -1.343e-09 // Maximum Relative Change in Control Points : 2.405e-02 // Max Error found at float precision = Poly : 1.354814e-07 - static const T P2[] = { + BOOST_MATH_STATIC const T P2[] = { 1.159315158e-01f, 2.789828686e-01f, 2.524902861e-02f, @@ -133,14 +139,14 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 24>&) // Maximum Relative Change in Control Points : 9.064e-02 // Max Error found at float precision = Poly : 5.065020e-08 - static const T P[] = + BOOST_MATH_STATIC const T P[] = { 2.533141220e-01f, 5.221502603e-01f, 6.380180669e-02f, -5.934976547e-02f }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { 1.000000000e+00f, 2.679722431e+00f, @@ -158,7 +164,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 24>&) } template <typename T> -T bessel_k0_imp(const T& x, const std::integral_constant<int, 53>&) +BOOST_MATH_GPU_ENABLED T bessel_k0_imp(const T& x, const boost::math::integral_constant<int, 53>&) { BOOST_MATH_STD_USING if(x <= 1) @@ -167,8 +173,8 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 53>&) // Expected Error Term : -6.077e-17 // Maximum Relative Change in Control Points : 7.797e-02 // Max Error found at double precision = Poly : 1.003156e-16 - static const T Y = 1.137250900268554688; - static const T P[] = + BOOST_MATH_STATIC const T Y = 1.137250900268554688; + BOOST_MATH_STATIC const T P[] = { -1.372509002685546267e-01, 2.574916117833312855e-01, @@ -176,7 +182,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 53>&) 5.445476986653926759e-04, 7.125159422136622118e-06 }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { 1.000000000000000000e+00, -5.458333438017788530e-02, @@ -191,7 +197,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 53>&) // Expected Error Term : 3.392e-18 // Maximum Relative Change in Control Points : 2.041e-02 // Max Error found at double precision = Poly : 2.513112e-16 - static const T P2[] = + BOOST_MATH_STATIC const T P2[] = { 1.159315156584124484e-01, 2.789828789146031732e-01, @@ -212,8 +218,8 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 53>&) // Maximum Relative Change in Control Points : 2.757e-01 // Max Error found at double precision = Poly : 1.001560e-16 - static const T Y = 1; - static const T P[] = + BOOST_MATH_STATIC const T Y = 1; + BOOST_MATH_STATIC const T P[] = { 2.533141373155002416e-01, 3.628342133984595192e+00, @@ -225,7 +231,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 53>&) -1.414237994269995877e+00, -9.369168119754924625e-02 }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { 1.000000000000000000e+00, 1.494194694879908328e+01, @@ -248,7 +254,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 53>&) } template <typename T> -T bessel_k0_imp(const T& x, const std::integral_constant<int, 64>&) +BOOST_MATH_GPU_ENABLED T bessel_k0_imp(const T& x, const boost::math::integral_constant<int, 64>&) { BOOST_MATH_STD_USING if(x <= 1) @@ -257,8 +263,8 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 64>&) // Expected Error Term : 2.180e-22 // Maximum Relative Change in Control Points : 2.943e-01 // Max Error found at float80 precision = Poly : 3.923207e-20 - static const T Y = 1.137250900268554687500e+00; - static const T P[] = + BOOST_MATH_STATIC const T Y = 1.137250900268554687500e+00; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -1.372509002685546875002e-01), BOOST_MATH_BIG_CONSTANT(T, 64, 2.566481981037407600436e-01), @@ -267,7 +273,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 64>&) BOOST_MATH_BIG_CONSTANT(T, 64, 1.213747930378196492543e-05), BOOST_MATH_BIG_CONSTANT(T, 64, 9.423709328020389560844e-08) }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.000000000000000000000e+00), BOOST_MATH_BIG_CONSTANT(T, 64, -4.843828412587773008342e-02), @@ -284,7 +290,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 64>&) // Expected Error Term : -2.434e-21 // Maximum Relative Change in Control Points : 2.459e-02 // Max Error found at float80 precision = Poly : 1.482487e-19 - static const T P2[] = + BOOST_MATH_STATIC const T P2[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.159315156584124488110e-01), BOOST_MATH_BIG_CONSTANT(T, 64, 2.764832791416047889734e-01), @@ -292,7 +298,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 64>&) BOOST_MATH_BIG_CONSTANT(T, 64, 3.660777862036966089410e-04), BOOST_MATH_BIG_CONSTANT(T, 64, 2.094942446930673386849e-06) }; - static const T Q2[] = + BOOST_MATH_STATIC const T Q2[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.000000000000000000000e+00), BOOST_MATH_BIG_CONSTANT(T, 64, -2.156100313881251616320e-02), @@ -308,8 +314,8 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 64>&) // Expected Error Term : 2.236e-21 // Maximum Relative Change in Control Points : 3.021e-01 //Max Error found at float80 precision = Poly : 8.727378e-20 - static const T Y = 1; - static const T P[] = + BOOST_MATH_STATIC const T Y = 1; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 2.533141373155002512056e-01), BOOST_MATH_BIG_CONSTANT(T, 64, 5.417942070721928652715e+00), @@ -323,7 +329,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 64>&) BOOST_MATH_BIG_CONSTANT(T, 64, -4.059789241612946683713e+00), BOOST_MATH_BIG_CONSTANT(T, 64, -1.612783121537333908889e-01) }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.000000000000000000000e+00), BOOST_MATH_BIG_CONSTANT(T, 64, 2.200669254769325861404e+01), @@ -348,7 +354,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 64>&) } template <typename T> -T bessel_k0_imp(const T& x, const std::integral_constant<int, 113>&) +BOOST_MATH_GPU_ENABLED T bessel_k0_imp(const T& x, const boost::math::integral_constant<int, 113>&) { BOOST_MATH_STD_USING if(x <= 1) @@ -357,8 +363,8 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 113>&) // Expected Error Term : 5.682e-37 // Maximum Relative Change in Control Points : 6.094e-04 // Max Error found at float128 precision = Poly : 5.338213e-35 - static const T Y = 1.137250900268554687500000000000000000e+00f; - static const T P[] = + BOOST_MATH_STATIC const T Y = 1.137250900268554687500000000000000000e+00f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, -1.372509002685546875000000000000000006e-01), BOOST_MATH_BIG_CONSTANT(T, 113, 2.556212905071072782462974351698081303e-01), @@ -369,7 +375,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 113>&) BOOST_MATH_BIG_CONSTANT(T, 113, 1.752489221949580551692915881999762125e-09), BOOST_MATH_BIG_CONSTANT(T, 113, 5.243010555737173524710512824955368526e-12) }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 1.000000000000000000000000000000000000e+00), BOOST_MATH_BIG_CONSTANT(T, 113, -4.095631064064621099785696980653193721e-02), @@ -387,7 +393,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 113>&) // Expected Error Term : 5.105e-38 // Maximum Relative Change in Control Points : 9.734e-03 // Max Error found at float128 precision = Poly : 1.688806e-34 - static const T P2[] = + BOOST_MATH_STATIC const T P2[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 1.159315156584124488107200313757741370e-01), BOOST_MATH_BIG_CONSTANT(T, 113, 2.789828789146031122026800078439435369e-01), @@ -413,8 +419,8 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 113>&) // Expected Error Term : 4.917e-40 // Maximum Relative Change in Control Points : 3.385e-01 // Max Error found at float128 precision = Poly : 1.567573e-34 - static const T Y = 1; - static const T P[] = + BOOST_MATH_STATIC const T Y = 1; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 2.533141373155002512078826424055226265e-01), BOOST_MATH_BIG_CONSTANT(T, 113, 2.001949740768235770078339977110749204e+01), @@ -439,7 +445,7 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 113>&) BOOST_MATH_BIG_CONSTANT(T, 113, -4.201632288615609937883545928660649813e+03), BOOST_MATH_BIG_CONSTANT(T, 113, -3.690820607338480548346746717311811406e+01) }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 1.000000000000000000000000000000000000e+00), BOOST_MATH_BIG_CONSTANT(T, 113, 7.964877874035741452203497983642653107e+01), @@ -475,33 +481,33 @@ T bessel_k0_imp(const T& x, const std::integral_constant<int, 113>&) } template <typename T> -T bessel_k0_imp(const T& x, const std::integral_constant<int, 0>&) +BOOST_MATH_GPU_ENABLED T bessel_k0_imp(const T& x, const boost::math::integral_constant<int, 0>&) { if(boost::math::tools::digits<T>() <= 24) - return bessel_k0_imp(x, std::integral_constant<int, 24>()); + return bessel_k0_imp(x, boost::math::integral_constant<int, 24>()); else if(boost::math::tools::digits<T>() <= 53) - return bessel_k0_imp(x, std::integral_constant<int, 53>()); + return bessel_k0_imp(x, boost::math::integral_constant<int, 53>()); else if(boost::math::tools::digits<T>() <= 64) - return bessel_k0_imp(x, std::integral_constant<int, 64>()); + return bessel_k0_imp(x, boost::math::integral_constant<int, 64>()); else if(boost::math::tools::digits<T>() <= 113) - return bessel_k0_imp(x, std::integral_constant<int, 113>()); + return bessel_k0_imp(x, boost::math::integral_constant<int, 113>()); BOOST_MATH_ASSERT(0); return 0; } template <typename T> -inline T bessel_k0(const T& x) +BOOST_MATH_GPU_ENABLED inline T bessel_k0(const T& x) { - typedef std::integral_constant<int, - ((std::numeric_limits<T>::digits == 0) || (std::numeric_limits<T>::radix != 2)) ? + typedef boost::math::integral_constant<int, + ((boost::math::numeric_limits<T>::digits == 0) || (boost::math::numeric_limits<T>::radix != 2)) ? 0 : - std::numeric_limits<T>::digits <= 24 ? + boost::math::numeric_limits<T>::digits <= 24 ? 24 : - std::numeric_limits<T>::digits <= 53 ? + boost::math::numeric_limits<T>::digits <= 53 ? 53 : - std::numeric_limits<T>::digits <= 64 ? + boost::math::numeric_limits<T>::digits <= 64 ? 64 : - std::numeric_limits<T>::digits <= 113 ? + boost::math::numeric_limits<T>::digits <= 113 ? 113 : -1 > tag_type; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_k1.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_k1.hpp index bd37f90215..49846dc8c5 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_k1.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_k1.hpp @@ -13,6 +13,10 @@ #pragma warning(disable:4702) // Unreachable code (release mode only warning) #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/precision.hpp> #include <boost/math/tools/rational.hpp> #include <boost/math/tools/big_constant.hpp> #include <boost/math/policies/error_handling.hpp> @@ -44,36 +48,38 @@ namespace boost { namespace math { namespace detail{ template <typename T> - T bessel_k1(const T&); + BOOST_MATH_GPU_ENABLED T bessel_k1(const T&); template <class T, class tag> struct bessel_k1_initializer { struct init { - init() + BOOST_MATH_GPU_ENABLED init() { do_init(tag()); } - static void do_init(const std::integral_constant<int, 113>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 113>&) { bessel_k1(T(0.5)); bessel_k1(T(2)); bessel_k1(T(6)); } - static void do_init(const std::integral_constant<int, 64>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 64>&) { bessel_k1(T(0.5)); bessel_k1(T(6)); } template <class U> - static void do_init(const U&) {} - void force_instantiate()const {} + BOOST_MATH_GPU_ENABLED static void do_init(const U&) {} + BOOST_MATH_GPU_ENABLED void force_instantiate()const {} }; - static const init initializer; - static void force_instantiate() + BOOST_MATH_STATIC const init initializer; + BOOST_MATH_GPU_ENABLED static void force_instantiate() { + #ifndef BOOST_MATH_HAS_GPU_SUPPORT initializer.force_instantiate(); + #endif } }; @@ -82,14 +88,14 @@ namespace boost { namespace math { namespace detail{ template <typename T, int N> - inline T bessel_k1_imp(const T&, const std::integral_constant<int, N>&) + inline BOOST_MATH_GPU_ENABLED T bessel_k1_imp(const T&, const boost::math::integral_constant<int, N>&) { BOOST_MATH_ASSERT(0); return 0; } template <typename T> - T bessel_k1_imp(const T& x, const std::integral_constant<int, 24>&) + BOOST_MATH_GPU_ENABLED T bessel_k1_imp(const T& x, const boost::math::integral_constant<int, 24>&) { BOOST_MATH_STD_USING if(x <= 1) @@ -98,14 +104,14 @@ namespace boost { namespace math { namespace detail{ // Expected Error Term : -3.053e-12 // Maximum Relative Change in Control Points : 4.927e-02 // Max Error found at float precision = Poly : 7.918347e-10 - static const T Y = 8.695471287e-02f; - static const T P[] = + BOOST_MATH_STATIC const T Y = 8.695471287e-02f; + BOOST_MATH_STATIC const T P[] = { -3.621379531e-03f, 7.131781976e-03f, -1.535278300e-05f }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { 1.000000000e+00f, -5.173102701e-02f, @@ -118,7 +124,7 @@ namespace boost { namespace math { namespace detail{ // Maximum Deviation Found: 3.556e-08 // Expected Error Term : -3.541e-08 // Maximum Relative Change in Control Points : 8.203e-02 - static const T P2[] = + BOOST_MATH_STATIC const T P2[] = { -3.079657469e-01f, -8.537108913e-02f, @@ -134,15 +140,15 @@ namespace boost { namespace math { namespace detail{ // Expected Error Term : -3.227e-08 // Maximum Relative Change in Control Points : 9.917e-02 // Max Error found at float precision = Poly : 6.084411e-08 - static const T Y = 1.450342178f; - static const T P[] = + BOOST_MATH_STATIC const T Y = 1.450342178f; + BOOST_MATH_STATIC const T P[] = { -1.970280088e-01f, 2.188747807e-02f, 7.270394756e-01f, 2.490678196e-01f }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { 1.000000000e+00f, 2.274292882e+00f, @@ -160,7 +166,7 @@ namespace boost { namespace math { namespace detail{ } template <typename T> - T bessel_k1_imp(const T& x, const std::integral_constant<int, 53>&) + BOOST_MATH_GPU_ENABLED T bessel_k1_imp(const T& x, const boost::math::integral_constant<int, 53>&) { BOOST_MATH_STD_USING if(x <= 1) @@ -169,15 +175,15 @@ namespace boost { namespace math { namespace detail{ // Expected Error Term : 1.921e-17 // Maximum Relative Change in Control Points : 5.287e-03 // Max Error found at double precision = Poly : 2.004747e-17 - static const T Y = 8.69547128677368164e-02f; - static const T P[] = + BOOST_MATH_STATIC const T Y = 8.69547128677368164e-02f; + BOOST_MATH_STATIC const T P[] = { -3.62137953440350228e-03, 7.11842087490330300e-03, 1.00302560256614306e-05, 1.77231085381040811e-06 }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { 1.00000000000000000e+00, -4.80414794429043831e-02, @@ -193,14 +199,14 @@ namespace boost { namespace math { namespace detail{ // Maximum Relative Change in Control Points : 3.103e-04 // Max Error found at double precision = Poly : 1.246698e-16 - static const T P2[] = + BOOST_MATH_STATIC const T P2[] = { -3.07965757829206184e-01, -7.80929703673074907e-02, -2.70619343754051620e-03, -2.49549522229072008e-05 }; - static const T Q2[] = + BOOST_MATH_STATIC const T Q2[] = { 1.00000000000000000e+00, -2.36316836412163098e-02, @@ -217,8 +223,8 @@ namespace boost { namespace math { namespace detail{ // Maximum Relative Change in Control Points : 2.786e-01 // Max Error found at double precision = Poly : 1.258798e-16 - static const T Y = 1.45034217834472656f; - static const T P[] = + BOOST_MATH_STATIC const T Y = 1.45034217834472656f; + BOOST_MATH_STATIC const T P[] = { -1.97028041029226295e-01, -2.32408961548087617e+00, @@ -230,7 +236,7 @@ namespace boost { namespace math { namespace detail{ 6.62582288933739787e+00, 3.08851840645286691e-01 }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { 1.00000000000000000e+00, 1.41811409298826118e+01, @@ -253,7 +259,7 @@ namespace boost { namespace math { namespace detail{ } template <typename T> - T bessel_k1_imp(const T& x, const std::integral_constant<int, 64>&) + BOOST_MATH_GPU_ENABLED T bessel_k1_imp(const T& x, const boost::math::integral_constant<int, 64>&) { BOOST_MATH_STD_USING if(x <= 1) @@ -262,8 +268,8 @@ namespace boost { namespace math { namespace detail{ // Expected Error Term : -5.548e-23 // Maximum Relative Change in Control Points : 2.002e-03 // Max Error found at float80 precision = Poly : 9.352785e-22 - static const T Y = 8.695471286773681640625e-02f; - static const T P[] = + BOOST_MATH_STATIC const T Y = 8.695471286773681640625e-02f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -3.621379534403483072861e-03), BOOST_MATH_BIG_CONSTANT(T, 64, 7.102135866103952705932e-03), @@ -271,7 +277,7 @@ namespace boost { namespace math { namespace detail{ BOOST_MATH_BIG_CONSTANT(T, 64, 2.537484002571894870830e-06), BOOST_MATH_BIG_CONSTANT(T, 64, 6.603228256820000135990e-09) }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.000000000000000000000e+00), BOOST_MATH_BIG_CONSTANT(T, 64, -4.354457194045068370363e-02), @@ -287,7 +293,7 @@ namespace boost { namespace math { namespace detail{ // Expected Error Term : 1.995e-23 // Maximum Relative Change in Control Points : 8.174e-04 // Max Error found at float80 precision = Poly : 4.137325e-20 - static const T P2[] = + BOOST_MATH_STATIC const T P2[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -3.079657578292062244054e-01), BOOST_MATH_BIG_CONSTANT(T, 64, -7.963049154965966503231e-02), @@ -295,7 +301,7 @@ namespace boost { namespace math { namespace detail{ BOOST_MATH_BIG_CONSTANT(T, 64, -4.023052834702215699504e-05), BOOST_MATH_BIG_CONSTANT(T, 64, -1.719459155018493821839e-07) }; - static const T Q2[] = + BOOST_MATH_STATIC const T Q2[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.000000000000000000000e+00), BOOST_MATH_BIG_CONSTANT(T, 64, -1.863917670410152669768e-02), @@ -312,8 +318,8 @@ namespace boost { namespace math { namespace detail{ // Expected Error Term : -3.302e-21 // Maximum Relative Change in Control Points : 3.432e-01 // Max Error found at float80 precision = Poly : 1.083755e-19 - static const T Y = 1.450342178344726562500e+00f; - static const T P[] = + BOOST_MATH_STATIC const T Y = 1.450342178344726562500e+00f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -1.970280410292263112917e-01), BOOST_MATH_BIG_CONSTANT(T, 64, -4.058564803062959169322e+00), @@ -328,7 +334,7 @@ namespace boost { namespace math { namespace detail{ BOOST_MATH_BIG_CONSTANT(T, 64, 4.319614662598089438939e+00), BOOST_MATH_BIG_CONSTANT(T, 64, 3.710715864316521856193e-02) }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.000000000000000000000e+00), BOOST_MATH_BIG_CONSTANT(T, 64, 2.298433045824439052398e+01), @@ -353,7 +359,7 @@ namespace boost { namespace math { namespace detail{ } template <typename T> - T bessel_k1_imp(const T& x, const std::integral_constant<int, 113>&) + BOOST_MATH_GPU_ENABLED T bessel_k1_imp(const T& x, const boost::math::integral_constant<int, 113>&) { BOOST_MATH_STD_USING if(x <= 1) @@ -362,8 +368,8 @@ namespace boost { namespace math { namespace detail{ // Expected Error Term : -7.119e-35 // Maximum Relative Change in Control Points : 1.207e-03 // Max Error found at float128 precision = Poly : 7.143688e-35 - static const T Y = 8.695471286773681640625000000000000000e-02f; - static const T P[] = + BOOST_MATH_STATIC const T Y = 8.695471286773681640625000000000000000e-02f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, -3.621379534403483072916666666666595475e-03), BOOST_MATH_BIG_CONSTANT(T, 113, 7.074117676930975433219826471336547627e-03), @@ -373,7 +379,7 @@ namespace boost { namespace math { namespace detail{ BOOST_MATH_BIG_CONSTANT(T, 113, 2.347140307321161346703214099534250263e-10), BOOST_MATH_BIG_CONSTANT(T, 113, 5.569608494081482873946791086435679661e-13) }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 1.000000000000000000000000000000000000e+00), BOOST_MATH_BIG_CONSTANT(T, 113, -3.580768910152105375615558920428350204e-02), @@ -391,7 +397,7 @@ namespace boost { namespace math { namespace detail{ // Expected Error Term : 4.473e-37 // Maximum Relative Change in Control Points : 8.550e-04 // Max Error found at float128 precision = Poly : 8.167701e-35 - static const T P2[] = + BOOST_MATH_STATIC const T P2[] = { BOOST_MATH_BIG_CONSTANT(T, 113, -3.079657578292062244053600156878870690e-01), BOOST_MATH_BIG_CONSTANT(T, 113, -8.133183745732467770755578848987414875e-02), @@ -401,7 +407,7 @@ namespace boost { namespace math { namespace detail{ BOOST_MATH_BIG_CONSTANT(T, 113, -1.632502325880313239698965376754406011e-09), BOOST_MATH_BIG_CONSTANT(T, 113, -2.311973065898784812266544485665624227e-12) }; - static const T Q2[] = + BOOST_MATH_STATIC const T Q2[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 1.000000000000000000000000000000000000e+00), BOOST_MATH_BIG_CONSTANT(T, 113, -1.311471216733781016657962995723287450e-02), @@ -418,8 +424,8 @@ namespace boost { namespace math { namespace detail{ { // Max error in interpolated form: 5.307e-37 // Max Error found at float128 precision = Poly: 7.087862e-35 - static const T Y = 1.5023040771484375f; - static const T P[] = + BOOST_MATH_STATIC const T Y = 1.5023040771484375f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, -2.489899398329369710528254347931380044e-01), BOOST_MATH_BIG_CONSTANT(T, 113, -6.819080211203854781858815596508456873e+00), @@ -438,7 +444,7 @@ namespace boost { namespace math { namespace detail{ BOOST_MATH_BIG_CONSTANT(T, 113, 1.039705646510167437971862966128055524e+00), BOOST_MATH_BIG_CONSTANT(T, 113, 1.008418100718254816100425022904039530e-02) }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 1.000000000000000000000000000000000000e+00), BOOST_MATH_BIG_CONSTANT(T, 113, 2.927456835239137986889227412815459529e+01), @@ -465,8 +471,8 @@ namespace boost { namespace math { namespace detail{ // Expected Error Term : -6.565e-40 // Maximum Relative Change in Control Points : 1.880e-01 // Max Error found at float128 precision = Poly : 2.943572e-35 - static const T Y = 1.308816909790039062500000000000000000f; - static const T P[] = + BOOST_MATH_STATIC const T Y = 1.308816909790039062500000000000000000f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 113, -5.550277247453881129211735759447737350e-02), BOOST_MATH_BIG_CONSTANT(T, 113, -3.485883080219574328217554864956175929e+00), @@ -486,7 +492,7 @@ namespace boost { namespace math { namespace detail{ BOOST_MATH_BIG_CONSTANT(T, 113, 8.981057433937398731355768088809437625e+05), BOOST_MATH_BIG_CONSTANT(T, 113, 2.519440069856232098711793483639792952e+04) }; - static const T Q[] = + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 1.000000000000000000000000000000000000e+00), BOOST_MATH_BIG_CONSTANT(T, 113, 7.127348248283623146544565916604103560e+01), @@ -517,33 +523,33 @@ namespace boost { namespace math { namespace detail{ } template <typename T> - T bessel_k1_imp(const T& x, const std::integral_constant<int, 0>&) + BOOST_MATH_GPU_ENABLED T bessel_k1_imp(const T& x, const boost::math::integral_constant<int, 0>&) { if(boost::math::tools::digits<T>() <= 24) - return bessel_k1_imp(x, std::integral_constant<int, 24>()); + return bessel_k1_imp(x, boost::math::integral_constant<int, 24>()); else if(boost::math::tools::digits<T>() <= 53) - return bessel_k1_imp(x, std::integral_constant<int, 53>()); + return bessel_k1_imp(x, boost::math::integral_constant<int, 53>()); else if(boost::math::tools::digits<T>() <= 64) - return bessel_k1_imp(x, std::integral_constant<int, 64>()); + return bessel_k1_imp(x, boost::math::integral_constant<int, 64>()); else if(boost::math::tools::digits<T>() <= 113) - return bessel_k1_imp(x, std::integral_constant<int, 113>()); + return bessel_k1_imp(x, boost::math::integral_constant<int, 113>()); BOOST_MATH_ASSERT(0); return 0; } - template <typename T> - inline T bessel_k1(const T& x) + template <typename T> + inline BOOST_MATH_GPU_ENABLED T bessel_k1(const T& x) { - typedef std::integral_constant<int, - ((std::numeric_limits<T>::digits == 0) || (std::numeric_limits<T>::radix != 2)) ? + typedef boost::math::integral_constant<int, + ((boost::math::numeric_limits<T>::digits == 0) || (boost::math::numeric_limits<T>::radix != 2)) ? 0 : - std::numeric_limits<T>::digits <= 24 ? + boost::math::numeric_limits<T>::digits <= 24 ? 24 : - std::numeric_limits<T>::digits <= 53 ? + boost::math::numeric_limits<T>::digits <= 53 ? 53 : - std::numeric_limits<T>::digits <= 64 ? + boost::math::numeric_limits<T>::digits <= 64 ? 64 : - std::numeric_limits<T>::digits <= 113 ? + boost::math::numeric_limits<T>::digits <= 113 ? 113 : -1 > tag_type; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_kn.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_kn.hpp index d0ddcd0db4..41becc8aa9 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_kn.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_kn.hpp @@ -10,8 +10,12 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/precision.hpp> +#include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/detail/bessel_k0.hpp> #include <boost/math/special_functions/detail/bessel_k1.hpp> +#include <boost/math/special_functions/sign.hpp> #include <boost/math/policies/error_handling.hpp> // Modified Bessel function of the second kind of integer order @@ -20,14 +24,14 @@ namespace boost { namespace math { namespace detail{ template <typename T, typename Policy> -T bessel_kn(int n, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED T bessel_kn(int n, T x, const Policy& pol) { BOOST_MATH_STD_USING T value, current, prev; using namespace boost::math::tools; - static const char* function = "boost::math::bessel_kn<%1%>(%1%,%1%)"; + constexpr auto function = "boost::math::bessel_kn<%1%>(%1%,%1%)"; if (x < 0) { diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_y0.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_y0.hpp index 1679820d19..f1aea6acbd 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_y0.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_y0.hpp @@ -12,6 +12,7 @@ #pragma warning(disable:4702) // Unreachable code (release mode only warning) #endif +#include <boost/math/tools/config.hpp> #include <boost/math/special_functions/detail/bessel_j0.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/tools/rational.hpp> @@ -36,12 +37,12 @@ namespace boost { namespace math { namespace detail{ template <typename T, typename Policy> -T bessel_y0(T x, const Policy&); +BOOST_MATH_GPU_ENABLED T bessel_y0(T x, const Policy&); template <typename T, typename Policy> -T bessel_y0(T x, const Policy&) +BOOST_MATH_GPU_ENABLED T bessel_y0(T x, const Policy&) { - static const T P1[] = { + BOOST_MATH_STATIC const T P1[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0723538782003176831e+11)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -8.3716255451260504098e+09)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.0422274357376619816e+08)), @@ -49,7 +50,7 @@ T bessel_y0(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0102532948020907590e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.8402381979244993524e+01)), }; - static const T Q1[] = { + BOOST_MATH_STATIC const T Q1[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.8873865738997033405e+11)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.1617187777290363573e+09)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.5662956624278251596e+07)), @@ -57,7 +58,7 @@ T bessel_y0(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 6.6475986689240190091e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)), }; - static const T P2[] = { + BOOST_MATH_STATIC const T P2[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -2.2213976967566192242e+13)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -5.5107435206722644429e+11)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.3600098638603061642e+10)), @@ -66,7 +67,7 @@ T bessel_y0(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.4566865832663635920e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.7427031242901594547e+01)), }; - static const T Q2[] = { + BOOST_MATH_STATIC const T Q2[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.3386146580707264428e+14)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.4266824419412347550e+12)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3.4015103849971240096e+10)), @@ -75,7 +76,7 @@ T bessel_y0(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.3030857612070288823e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)), }; - static const T P3[] = { + BOOST_MATH_STATIC const T P3[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -8.0728726905150210443e+15)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 6.7016641869173237784e+14)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.2829912364088687306e+11)), @@ -85,7 +86,7 @@ T bessel_y0(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.1363534169313901632e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.7439661319197499338e+01)), }; - static const T Q3[] = { + BOOST_MATH_STATIC const T Q3[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3.4563724628846457519e+17)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3.9272425569640309819e+15)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.2598377924042897629e+13)), @@ -95,7 +96,7 @@ T bessel_y0(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.7903362168128450017e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)), }; - static const T PC[] = { + BOOST_MATH_STATIC const T PC[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.2779090197304684302e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.1345386639580765797e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.1170523380864944322e+04)), @@ -103,7 +104,7 @@ T bessel_y0(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.5376201909008354296e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.8961548424210455236e-01)), }; - static const T QC[] = { + BOOST_MATH_STATIC const T QC[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.2779090197304684318e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.1370412495510416640e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.1215350561880115730e+04)), @@ -111,7 +112,7 @@ T bessel_y0(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.5711159858080893649e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)), }; - static const T PS[] = { + BOOST_MATH_STATIC const T PS[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -8.9226600200800094098e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.8591953644342993800e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.1183429920482737611e+02)), @@ -119,7 +120,7 @@ T bessel_y0(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.2441026745835638459e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -8.8033303048680751817e-03)), }; - static const T QS[] = { + BOOST_MATH_STATIC const T QS[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.7105024128512061905e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.1951131543434613647e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 7.2642780169211018836e+03)), @@ -127,7 +128,7 @@ T bessel_y0(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 9.0593769594993125859e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)), }; - static const T x1 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.9357696627916752158e-01)), + BOOST_MATH_STATIC const T x1 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.9357696627916752158e-01)), x2 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3.9576784193148578684e+00)), x3 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 7.0860510603017726976e+00)), x11 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.280e+02)), diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_y1.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_y1.hpp index 3ac696bb5c..0f0dbdf3bb 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_y1.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_y1.hpp @@ -12,6 +12,7 @@ #pragma warning(disable:4702) // Unreachable code (release mode only warning) #endif +#include <boost/math/tools/config.hpp> #include <boost/math/special_functions/detail/bessel_j1.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/tools/rational.hpp> @@ -36,12 +37,12 @@ namespace boost { namespace math { namespace detail{ template <typename T, typename Policy> -T bessel_y1(T x, const Policy&); +BOOST_MATH_GPU_ENABLED T bessel_y1(T x, const Policy&); template <typename T, typename Policy> -T bessel_y1(T x, const Policy&) +BOOST_MATH_GPU_ENABLED T bessel_y1(T x, const Policy&) { - static const T P1[] = { + BOOST_MATH_STATIC const T P1[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.0535726612579544093e+13)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.4708611716525426053e+12)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -3.7595974497819597599e+11)), @@ -50,7 +51,7 @@ T bessel_y1(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.2157953222280260820e+05)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -3.1714424660046133456e+02)), }; - static const T Q1[] = { + BOOST_MATH_STATIC const T Q1[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3.0737873921079286084e+14)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.1272286200406461981e+12)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.7800352738690585613e+10)), @@ -59,7 +60,7 @@ T bessel_y1(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.2079908168393867438e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)), }; - static const T P2[] = { + BOOST_MATH_STATIC const T P2[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.1514276357909013326e+19)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -5.6808094574724204577e+18)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -2.3638408497043134724e+16)), @@ -70,7 +71,7 @@ T bessel_y1(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.9153806858264202986e+06)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.2337180442012953128e+03)), }; - static const T Q2[] = { + BOOST_MATH_STATIC const T Q2[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.3321844313316185697e+20)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.6968198822857178911e+18)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3.0837179548112881950e+16)), @@ -81,7 +82,7 @@ T bessel_y1(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.2855164849321609336e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)), }; - static const T PC[] = { + BOOST_MATH_STATIC const T PC[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -4.4357578167941278571e+06)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -9.9422465050776411957e+06)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -6.6033732483649391093e+06)), @@ -90,7 +91,7 @@ T bessel_y1(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.6116166443246101165e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.0)), }; - static const T QC[] = { + BOOST_MATH_STATIC const T QC[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -4.4357578167941278568e+06)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -9.9341243899345856590e+06)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -6.5853394797230870728e+06)), @@ -99,7 +100,7 @@ T bessel_y1(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -1.4550094401904961825e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)), }; - static const T PS[] = { + BOOST_MATH_STATIC const T PS[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3.3220913409857223519e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.5145160675335701966e+04)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 6.6178836581270835179e+04)), @@ -108,7 +109,7 @@ T bessel_y1(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3.5265133846636032186e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.0)), }; - static const T QS[] = { + BOOST_MATH_STATIC const T QS[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 7.0871281941028743574e+05)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.8194580422439972989e+06)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.4194606696037208929e+06)), @@ -117,7 +118,7 @@ T bessel_y1(T x, const Policy&) static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 8.6383677696049909675e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.0)), }; - static const T x1 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.1971413260310170351e+00)), + BOOST_MATH_STATIC const T x1 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.1971413260310170351e+00)), x2 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.4296810407941351328e+00)), x11 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 5.620e+02)), x12 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 1.8288260310170351490e-03)), diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_yn.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_yn.hpp index 73dee0bbb8..a45d1761cd 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_yn.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/bessel_yn.hpp @@ -10,9 +10,11 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> #include <boost/math/special_functions/detail/bessel_y0.hpp> #include <boost/math/special_functions/detail/bessel_y1.hpp> #include <boost/math/special_functions/detail/bessel_jy_series.hpp> +#include <boost/math/special_functions/sign.hpp> #include <boost/math/policies/error_handling.hpp> // Bessel function of the second kind of integer order @@ -21,14 +23,14 @@ namespace boost { namespace math { namespace detail{ template <typename T, typename Policy> -T bessel_yn(int n, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED T bessel_yn(int n, T x, const Policy& pol) { BOOST_MATH_STD_USING T value, factor, current, prev; using namespace boost::math::tools; - static const char* function = "boost::math::bessel_yn<%1%>(%1%,%1%)"; + constexpr auto function = "boost::math::bessel_yn<%1%>(%1%,%1%)"; if ((x == 0) && (n == 0)) { diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/erf_inv.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/erf_inv.hpp index 0054a74266..cb65cffbc1 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/erf_inv.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/erf_inv.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -13,6 +14,10 @@ #pragma warning(disable:4702) // Unreachable code: optimization warning #endif +#include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <type_traits> namespace boost{ namespace math{ @@ -23,7 +28,7 @@ namespace detail{ // this version is for 80-bit long double's and smaller: // template <class T, class Policy> -T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constant<int, 64>*) +BOOST_MATH_GPU_ENABLED T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constant<int, 64>&) { BOOST_MATH_STD_USING // for ADL of std names. @@ -44,8 +49,8 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan // Maximum Deviation Found (actual error term at infinite precision) 8.030e-21 // // LCOV_EXCL_START - static const float Y = 0.0891314744949340820313f; - static const T P[] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const float Y = 0.0891314744949340820313f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.000508781949658280665617), BOOST_MATH_BIG_CONSTANT(T, 64, -0.00836874819741736770379), BOOST_MATH_BIG_CONSTANT(T, 64, 0.0334806625409744615033), @@ -55,7 +60,7 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan BOOST_MATH_BIG_CONSTANT(T, 64, 0.00822687874676915743155), BOOST_MATH_BIG_CONSTANT(T, 64, -0.00538772965071242932965) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.0), BOOST_MATH_BIG_CONSTANT(T, 64, -0.970005043303290640362), BOOST_MATH_BIG_CONSTANT(T, 64, -1.56574558234175846809), @@ -87,8 +92,8 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan // Maximum Deviation Found (error term) 4.811e-20 // // LCOV_EXCL_START - static const float Y = 2.249481201171875f; - static const T P[] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const float Y = 2.249481201171875f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.202433508355938759655), BOOST_MATH_BIG_CONSTANT(T, 64, 0.105264680699391713268), BOOST_MATH_BIG_CONSTANT(T, 64, 8.37050328343119927838), @@ -99,7 +104,7 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan BOOST_MATH_BIG_CONSTANT(T, 64, 21.1294655448340526258), BOOST_MATH_BIG_CONSTANT(T, 64, -3.67192254707729348546) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.0), BOOST_MATH_BIG_CONSTANT(T, 64, 6.24264124854247537712), BOOST_MATH_BIG_CONSTANT(T, 64, 3.9713437953343869095), @@ -142,8 +147,8 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan { // LCOV_EXCL_START // Max error found: 1.089051e-20 - static const float Y = 0.807220458984375f; - static const T P[] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const float Y = 0.807220458984375f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.131102781679951906451), BOOST_MATH_BIG_CONSTANT(T, 64, -0.163794047193317060787), BOOST_MATH_BIG_CONSTANT(T, 64, 0.117030156341995252019), @@ -156,7 +161,7 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan BOOST_MATH_BIG_CONSTANT(T, 64, 0.285225331782217055858e-7), BOOST_MATH_BIG_CONSTANT(T, 64, -0.681149956853776992068e-9) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.0), BOOST_MATH_BIG_CONSTANT(T, 64, 3.46625407242567245975), BOOST_MATH_BIG_CONSTANT(T, 64, 5.38168345707006855425), @@ -175,8 +180,8 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan { // LCOV_EXCL_START // Max error found: 8.389174e-21 - static const float Y = 0.93995571136474609375f; - static const T P[] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const float Y = 0.93995571136474609375f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.0350353787183177984712), BOOST_MATH_BIG_CONSTANT(T, 64, -0.00222426529213447927281), BOOST_MATH_BIG_CONSTANT(T, 64, 0.0185573306514231072324), @@ -187,7 +192,7 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan BOOST_MATH_BIG_CONSTANT(T, 64, -0.230404776911882601748e-9), BOOST_MATH_BIG_CONSTANT(T, 64, 0.266339227425782031962e-11) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.0), BOOST_MATH_BIG_CONSTANT(T, 64, 1.3653349817554063097), BOOST_MATH_BIG_CONSTANT(T, 64, 0.762059164553623404043), @@ -205,8 +210,8 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan { // LCOV_EXCL_START // Max error found: 1.481312e-19 - static const float Y = 0.98362827301025390625f; - static const T P[] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const float Y = 0.98362827301025390625f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.0167431005076633737133), BOOST_MATH_BIG_CONSTANT(T, 64, -0.00112951438745580278863), BOOST_MATH_BIG_CONSTANT(T, 64, 0.00105628862152492910091), @@ -217,7 +222,7 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan BOOST_MATH_BIG_CONSTANT(T, 64, -0.281128735628831791805e-13), BOOST_MATH_BIG_CONSTANT(T, 64, 0.99055709973310326855e-16) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.0), BOOST_MATH_BIG_CONSTANT(T, 64, 0.591429344886417493481), BOOST_MATH_BIG_CONSTANT(T, 64, 0.138151865749083321638), @@ -235,8 +240,8 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan { // LCOV_EXCL_START // Max error found: 5.697761e-20 - static const float Y = 0.99714565277099609375f; - static const T P[] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const float Y = 0.99714565277099609375f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.0024978212791898131227), BOOST_MATH_BIG_CONSTANT(T, 64, -0.779190719229053954292e-5), BOOST_MATH_BIG_CONSTANT(T, 64, 0.254723037413027451751e-4), @@ -246,7 +251,7 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan BOOST_MATH_BIG_CONSTANT(T, 64, 0.145596286718675035587e-11), BOOST_MATH_BIG_CONSTANT(T, 64, -0.116765012397184275695e-17) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.0), BOOST_MATH_BIG_CONSTANT(T, 64, 0.207123112214422517181), BOOST_MATH_BIG_CONSTANT(T, 64, 0.0169410838120975906478), @@ -264,8 +269,8 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan { // LCOV_EXCL_START // Max error found: 1.279746e-20 - static const float Y = 0.99941349029541015625f; - static const T P[] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const float Y = 0.99941349029541015625f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.000539042911019078575891), BOOST_MATH_BIG_CONSTANT(T, 64, -0.28398759004727721098e-6), BOOST_MATH_BIG_CONSTANT(T, 64, 0.899465114892291446442e-6), @@ -275,7 +280,7 @@ T erf_inv_imp(const T& p, const T& q, const Policy&, const std::integral_constan BOOST_MATH_BIG_CONSTANT(T, 64, 0.135880130108924861008e-14), BOOST_MATH_BIG_CONSTANT(T, 64, -0.348890393399948882918e-21) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.0), BOOST_MATH_BIG_CONSTANT(T, 64, 0.0845746234001899436914), BOOST_MATH_BIG_CONSTANT(T, 64, 0.00282092984726264681981), @@ -310,12 +315,13 @@ private: }; template <class T, class Policy> -T erf_inv_imp(const T& p, const T& q, const Policy& pol, const std::integral_constant<int, 0>*) +T erf_inv_imp(const T& p, const T& q, const Policy& pol, const std::integral_constant<int, 0>&) { // // Generic version, get a guess that's accurate to 64-bits (10^-19) // - T guess = erf_inv_imp(p, q, pol, static_cast<std::integral_constant<int, 64> const*>(nullptr)); + using tag_type = std::integral_constant<int, 64>; + T guess = erf_inv_imp(p, q, pol, tag_type()); T result; // // If T has more bit's than 64 in it's mantissa then we need to iterate, @@ -344,14 +350,14 @@ T erf_inv_imp(const T& p, const T& q, const Policy& pol, const std::integral_con } // namespace detail template <class T, class Policy> -typename tools::promote_args<T>::type erfc_inv(T z, const Policy& pol) +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T>::type erfc_inv(T z, const Policy& pol) { typedef typename tools::promote_args<T>::type result_type; // // Begin by testing for domain errors, and other special cases: // - static const char* function = "boost::math::erfc_inv<%1%>(%1%, %1%)"; + constexpr auto function = "boost::math::erfc_inv<%1%>(%1%, %1%)"; if((z < 0) || (z > 2)) return policies::raise_domain_error<result_type>(function, "Argument outside range [0,2] in inverse erfc function (got p=%1%).", z, pol); if(z == 0) @@ -401,18 +407,18 @@ typename tools::promote_args<T>::type erfc_inv(T z, const Policy& pol) // And get the result, negating where required: // return s * policies::checked_narrowing_cast<result_type, forwarding_policy>( - detail::erf_inv_imp(static_cast<eval_type>(p), static_cast<eval_type>(q), forwarding_policy(), static_cast<tag_type const*>(nullptr)), function); + detail::erf_inv_imp(static_cast<eval_type>(p), static_cast<eval_type>(q), forwarding_policy(), tag_type()), function); } template <class T, class Policy> -typename tools::promote_args<T>::type erf_inv(T z, const Policy& pol) +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T>::type erf_inv(T z, const Policy& pol) { typedef typename tools::promote_args<T>::type result_type; // // Begin by testing for domain errors, and other special cases: // - static const char* function = "boost::math::erf_inv<%1%>(%1%, %1%)"; + constexpr auto function = "boost::math::erf_inv<%1%>(%1%, %1%)"; if((z < -1) || (z > 1)) return policies::raise_domain_error<result_type>(function, "Argument outside range [-1, 1] in inverse erf function (got p=%1%).", z, pol); if(z == 1) @@ -469,17 +475,17 @@ typename tools::promote_args<T>::type erf_inv(T z, const Policy& pol) // And get the result, negating where required: // return s * policies::checked_narrowing_cast<result_type, forwarding_policy>( - detail::erf_inv_imp(static_cast<eval_type>(p), static_cast<eval_type>(q), forwarding_policy(), static_cast<tag_type const*>(nullptr)), function); + detail::erf_inv_imp(static_cast<eval_type>(p), static_cast<eval_type>(q), forwarding_policy(), tag_type()), function); } template <class T> -inline typename tools::promote_args<T>::type erfc_inv(T z) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type erfc_inv(T z) { return erfc_inv(z, policies::policy<>()); } template <class T> -inline typename tools::promote_args<T>::type erf_inv(T z) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type erf_inv(T z) { return erf_inv(z, policies::policy<>()); } @@ -487,6 +493,64 @@ inline typename tools::promote_args<T>::type erf_inv(T z) } // namespace math } // namespace boost +#else // Special handling for NVRTC + +namespace boost { +namespace math { + +template <typename T> +BOOST_MATH_GPU_ENABLED auto erf_inv(T x) +{ + return ::erfinv(x); +} + +template <> +BOOST_MATH_GPU_ENABLED auto erf_inv(float x) +{ + return ::erfinvf(x); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED auto erf_inv(T x, const Policy&) +{ + return ::erfinv(x); +} + +template <typename Policy> +BOOST_MATH_GPU_ENABLED auto erf_inv(float x, const Policy&) +{ + return ::erfinvf(x); +} + +template <typename T> +BOOST_MATH_GPU_ENABLED auto erfc_inv(T x) +{ + return ::erfcinv(x); +} + +template <> +BOOST_MATH_GPU_ENABLED auto erfc_inv(float x) +{ + return ::erfcinvf(x); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED auto erfc_inv(T x, const Policy&) +{ + return ::erfcinv(x); +} + +template <typename Policy> +BOOST_MATH_GPU_ENABLED auto erfc_inv(float x, const Policy&) +{ + return ::erfcinvf(x); +} + +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_HAS_NVRTV + #ifdef _MSC_VER #pragma warning(pop) #endif diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/fp_traits.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/fp_traits.hpp index 2947a32a21..015ea9cd35 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/fp_traits.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/fp_traits.hpp @@ -4,6 +4,7 @@ #define BOOST_MATH_FP_TRAITS_HPP // Copyright (c) 2006 Johan Rade +// Copyright (c) 2024 Matt Borland // Distributed under the Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt @@ -24,6 +25,7 @@ With these techniques, the code could be simplified. #include <cstdint> #include <limits> #include <type_traits> +#include <boost/math/tools/config.hpp> #include <boost/math/tools/is_standalone.hpp> #include <boost/math/tools/assert.hpp> @@ -202,14 +204,14 @@ template<> struct fp_traits_non_native<float, single_precision> { typedef ieee_copy_all_bits_tag method; - static constexpr uint32_t sign = 0x80000000u; - static constexpr uint32_t exponent = 0x7f800000; - static constexpr uint32_t flag = 0x00000000; - static constexpr uint32_t significand = 0x007fffff; + BOOST_MATH_STATIC constexpr uint32_t sign = 0x80000000u; + BOOST_MATH_STATIC constexpr uint32_t exponent = 0x7f800000; + BOOST_MATH_STATIC constexpr uint32_t flag = 0x00000000; + BOOST_MATH_STATIC constexpr uint32_t significand = 0x007fffff; typedef uint32_t bits; - static void get_bits(float x, uint32_t& a) { std::memcpy(&a, &x, 4); } - static void set_bits(float& x, uint32_t a) { std::memcpy(&x, &a, 4); } + BOOST_MATH_GPU_ENABLED static void get_bits(float x, uint32_t& a) { std::memcpy(&a, &x, 4); } + BOOST_MATH_GPU_ENABLED static void set_bits(float& x, uint32_t a) { std::memcpy(&x, &a, 4); } }; // ieee_tag version, double (64 bits) ---------------------------------------------- @@ -250,15 +252,15 @@ template<> struct fp_traits_non_native<double, double_precision> { typedef ieee_copy_all_bits_tag method; - static constexpr uint64_t sign = static_cast<uint64_t>(0x80000000u) << 32; - static constexpr uint64_t exponent = static_cast<uint64_t>(0x7ff00000) << 32; - static constexpr uint64_t flag = 0; - static constexpr uint64_t significand + BOOST_MATH_STATIC constexpr uint64_t sign = static_cast<uint64_t>(0x80000000u) << 32; + BOOST_MATH_STATIC constexpr uint64_t exponent = static_cast<uint64_t>(0x7ff00000) << 32; + BOOST_MATH_STATIC constexpr uint64_t flag = 0; + BOOST_MATH_STATIC constexpr uint64_t significand = (static_cast<uint64_t>(0x000fffff) << 32) + static_cast<uint64_t>(0xffffffffu); typedef uint64_t bits; - static void get_bits(double x, uint64_t& a) { std::memcpy(&a, &x, 8); } - static void set_bits(double& x, uint64_t a) { std::memcpy(&x, &a, 8); } + BOOST_MATH_GPU_ENABLED static void get_bits(double x, uint64_t& a) { std::memcpy(&a, &x, 8); } + BOOST_MATH_GPU_ENABLED static void set_bits(double& x, uint64_t a) { std::memcpy(&x, &a, 8); } }; #endif @@ -330,10 +332,10 @@ struct fp_traits_non_native<long double, extended_double_precision> { typedef ieee_copy_leading_bits_tag method; - static constexpr uint32_t sign = 0x80000000u; - static constexpr uint32_t exponent = 0x7fff0000; - static constexpr uint32_t flag = 0x00008000; - static constexpr uint32_t significand = 0x00007fff; + BOOST_MATH_STATIC constexpr uint32_t sign = 0x80000000u; + BOOST_MATH_STATIC constexpr uint32_t exponent = 0x7fff0000; + BOOST_MATH_STATIC constexpr uint32_t flag = 0x00008000; + BOOST_MATH_STATIC constexpr uint32_t significand = 0x00007fff; typedef uint32_t bits; @@ -381,10 +383,10 @@ struct fp_traits_non_native<long double, extended_double_precision> { typedef ieee_copy_leading_bits_tag method; - static constexpr uint32_t sign = 0x80000000u; - static constexpr uint32_t exponent = 0x7ff00000; - static constexpr uint32_t flag = 0x00000000; - static constexpr uint32_t significand = 0x000fffff; + BOOST_MATH_STATIC constexpr uint32_t sign = 0x80000000u; + BOOST_MATH_STATIC constexpr uint32_t exponent = 0x7ff00000; + BOOST_MATH_STATIC constexpr uint32_t flag = 0x00000000; + BOOST_MATH_STATIC constexpr uint32_t significand = 0x000fffff; typedef uint32_t bits; @@ -399,7 +401,7 @@ struct fp_traits_non_native<long double, extended_double_precision> } private: - static constexpr int offset_ = BOOST_MATH_ENDIAN_BIG_BYTE ? 0 : 12; + BOOST_MATH_STATIC constexpr int offset_ = BOOST_MATH_ENDIAN_BIG_BYTE ? 0 : 12; }; @@ -419,10 +421,10 @@ struct fp_traits_non_native<long double, extended_double_precision> { typedef ieee_copy_leading_bits_tag method; - static constexpr uint32_t sign = 0x80000000u; - static constexpr uint32_t exponent = 0x7fff0000; - static constexpr uint32_t flag = 0x00008000; - static constexpr uint32_t significand = 0x00007fff; + BOOST_MATH_STATIC constexpr uint32_t sign = 0x80000000u; + BOOST_MATH_STATIC constexpr uint32_t exponent = 0x7fff0000; + BOOST_MATH_STATIC constexpr uint32_t flag = 0x00008000; + BOOST_MATH_STATIC constexpr uint32_t significand = 0x00007fff; // copy 1st, 2nd, 5th and 6th byte. 3rd and 4th byte are padding. @@ -455,10 +457,10 @@ struct fp_traits_non_native<long double, extended_double_precision> { typedef ieee_copy_leading_bits_tag method; - static constexpr uint32_t sign = 0x80000000u; - static constexpr uint32_t exponent = 0x7fff0000; - static constexpr uint32_t flag = 0x00000000; - static constexpr uint32_t significand = 0x0000ffff; + BOOST_MATH_STATIC constexpr uint32_t sign = 0x80000000u; + BOOST_MATH_STATIC constexpr uint32_t exponent = 0x7fff0000; + BOOST_MATH_STATIC constexpr uint32_t flag = 0x00000000; + BOOST_MATH_STATIC constexpr uint32_t significand = 0x0000ffff; typedef uint32_t bits; @@ -473,7 +475,7 @@ struct fp_traits_non_native<long double, extended_double_precision> } private: - static constexpr int offset_ = BOOST_MATH_ENDIAN_BIG_BYTE ? 0 : 12; + BOOST_MATH_STATIC constexpr int offset_ = BOOST_MATH_ENDIAN_BIG_BYTE ? 0 : 12; }; #endif @@ -553,7 +555,8 @@ struct select_native<long double> && !defined(BOOST_MATH_DISABLE_STD_FPCLASSIFY)\ && !defined(__INTEL_COMPILER)\ && !defined(sun)\ - && !defined(__VXWORKS__) + && !defined(__VXWORKS__)\ + && !defined(BOOST_MATH_HAS_GPU_SUPPORT) # define BOOST_MATH_USE_STD_FPCLASSIFY #endif diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/gamma_inva.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/gamma_inva.hpp index 75ac89e433..8c3be8ef1a 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/gamma_inva.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/gamma_inva.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -17,16 +18,23 @@ #pragma once #endif -#include <cstdint> +#include <boost/math/tools/config.hpp> #include <boost/math/tools/toms748_solve.hpp> -namespace boost{ namespace math{ namespace detail{ +namespace boost{ namespace math{ + +#ifdef BOOST_MATH_HAS_NVRTC +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED auto erfc_inv(T x, const Policy&); +#endif + +namespace detail{ template <class T, class Policy> struct gamma_inva_t { - gamma_inva_t(T z_, T p_, bool invert_) : z(z_), p(p_), invert(invert_) {} - T operator()(T a) + BOOST_MATH_GPU_ENABLED gamma_inva_t(T z_, T p_, bool invert_) : z(z_), p(p_), invert(invert_) {} + BOOST_MATH_GPU_ENABLED T operator()(T a) { return invert ? p - boost::math::gamma_q(a, z, Policy()) : boost::math::gamma_p(a, z, Policy()) - p; } @@ -36,7 +44,7 @@ private: }; template <class T, class Policy> -T inverse_poisson_cornish_fisher(T lambda, T p, T q, const Policy& pol) +BOOST_MATH_GPU_ENABLED T inverse_poisson_cornish_fisher(T lambda, T p, T q, const Policy& pol) { BOOST_MATH_STD_USING // mean: @@ -67,7 +75,7 @@ T inverse_poisson_cornish_fisher(T lambda, T p, T q, const Policy& pol) } template <class T, class Policy> -T gamma_inva_imp(const T& z, const T& p, const T& q, const Policy& pol) +BOOST_MATH_GPU_ENABLED T gamma_inva_imp(const T& z, const T& p, const T& q, const Policy& pol) { BOOST_MATH_STD_USING // for ADL of std lib math functions // @@ -151,7 +159,7 @@ T gamma_inva_imp(const T& z, const T& p, const T& q, const Policy& pol) } // namespace detail template <class T1, class T2, class Policy> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type gamma_p_inva(T1 x, T2 p, const Policy& pol) { typedef typename tools::promote_args<T1, T2>::type result_type; @@ -181,7 +189,7 @@ inline typename tools::promote_args<T1, T2>::type } template <class T1, class T2, class Policy> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type gamma_q_inva(T1 x, T2 q, const Policy& pol) { typedef typename tools::promote_args<T1, T2>::type result_type; @@ -211,14 +219,14 @@ inline typename tools::promote_args<T1, T2>::type } template <class T1, class T2> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type gamma_p_inva(T1 x, T2 p) { return boost::math::gamma_p_inva(x, p, policies::policy<>()); } template <class T1, class T2> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type gamma_q_inva(T1 x, T2 q) { return boost::math::gamma_q_inva(x, q, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/ibeta_inv_ab.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/ibeta_inv_ab.hpp index 0ce0d7560e..aab18f50f1 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/ibeta_inv_ab.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/ibeta_inv_ab.hpp @@ -17,17 +17,19 @@ #pragma once #endif -#include <cstdint> -#include <utility> +#include <boost/math/tools/config.hpp> #include <boost/math/tools/toms748_solve.hpp> +#include <boost/math/tools/precision.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/policies/error_handling.hpp> namespace boost{ namespace math{ namespace detail{ template <class T, class Policy> struct beta_inv_ab_t { - beta_inv_ab_t(T b_, T z_, T p_, bool invert_, bool swap_ab_) : b(b_), z(z_), p(p_), invert(invert_), swap_ab(swap_ab_) {} - T operator()(T a) + BOOST_MATH_GPU_ENABLED beta_inv_ab_t(T b_, T z_, T p_, bool invert_, bool swap_ab_) : b(b_), z(z_), p(p_), invert(invert_), swap_ab(swap_ab_) {} + BOOST_MATH_GPU_ENABLED T operator()(T a) { return invert ? p - boost::math::ibetac(swap_ab ? b : a, swap_ab ? a : b, z, Policy()) @@ -39,7 +41,7 @@ private: }; template <class T, class Policy> -T inverse_negative_binomial_cornish_fisher(T n, T sf, T sfc, T p, T q, const Policy& pol) +BOOST_MATH_GPU_ENABLED T inverse_negative_binomial_cornish_fisher(T n, T sf, T sfc, T p, T q, const Policy& pol) { BOOST_MATH_STD_USING // mean: @@ -72,7 +74,7 @@ T inverse_negative_binomial_cornish_fisher(T n, T sf, T sfc, T p, T q, const Pol } template <class T, class Policy> -T ibeta_inv_ab_imp(const T& b, const T& z, const T& p, const T& q, bool swap_ab, const Policy& pol) +BOOST_MATH_GPU_ENABLED T ibeta_inv_ab_imp(const T& b, const T& z, const T& p, const T& q, bool swap_ab, const Policy& pol) { BOOST_MATH_STD_USING // for ADL of std lib math functions // @@ -121,11 +123,11 @@ T ibeta_inv_ab_imp(const T& b, const T& z, const T& p, const T& q, bool swap_ab, // if((p < q) != swap_ab) { - guess = (std::min)(T(b * 2), T(1)); + guess = BOOST_MATH_GPU_SAFE_MIN(T(b * 2), T(1)); } else { - guess = (std::min)(T(b / 2), T(1)); + guess = BOOST_MATH_GPU_SAFE_MIN(T(b / 2), T(1)); } } if(n * n * n * u * sf > 0.005) @@ -138,11 +140,11 @@ T ibeta_inv_ab_imp(const T& b, const T& z, const T& p, const T& q, bool swap_ab, // if((p < q) != swap_ab) { - guess = (std::min)(T(b * 2), T(10)); + guess = BOOST_MATH_GPU_SAFE_MIN(T(b * 2), T(10)); } else { - guess = (std::min)(T(b / 2), T(10)); + guess = BOOST_MATH_GPU_SAFE_MIN(T(b / 2), T(10)); } } else @@ -151,8 +153,8 @@ T ibeta_inv_ab_imp(const T& b, const T& z, const T& p, const T& q, bool swap_ab, // // Max iterations permitted: // - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); - std::pair<T, T> r = bracket_and_solve_root(f, guess, factor, swap_ab ? true : false, tol, max_iter, pol); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::pair<T, T> r = bracket_and_solve_root(f, guess, factor, swap_ab ? true : false, tol, max_iter, pol); if(max_iter >= policies::get_max_root_iterations<Policy>()) return policies::raise_evaluation_error<T>("boost::math::ibeta_invab_imp<%1%>(%1%,%1%,%1%)", "Unable to locate the root within a reasonable number of iterations, closest approximation so far was %1%", r.first, pol); return (r.first + r.second) / 2; @@ -161,7 +163,7 @@ T ibeta_inv_ab_imp(const T& b, const T& z, const T& p, const T& q, bool swap_ab, } // namespace detail template <class RT1, class RT2, class RT3, class Policy> -typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED typename tools::promote_args<RT1, RT2, RT3>::type ibeta_inva(RT1 b, RT2 x, RT3 p, const Policy& pol) { typedef typename tools::promote_args<RT1, RT2, RT3>::type result_type; @@ -173,7 +175,7 @@ typename tools::promote_args<RT1, RT2, RT3>::type policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - static const char* function = "boost::math::ibeta_inva<%1%>(%1%,%1%,%1%)"; + constexpr auto function = "boost::math::ibeta_inva<%1%>(%1%,%1%,%1%)"; if(p == 0) { return policies::raise_overflow_error<result_type>(function, 0, Policy()); @@ -185,28 +187,28 @@ typename tools::promote_args<RT1, RT2, RT3>::type return policies::checked_narrowing_cast<result_type, forwarding_policy>( detail::ibeta_inv_ab_imp( - static_cast<value_type>(b), - static_cast<value_type>(x), - static_cast<value_type>(p), - static_cast<value_type>(1 - static_cast<value_type>(p)), - false, pol), + static_cast<value_type>(b), + static_cast<value_type>(x), + static_cast<value_type>(p), + static_cast<value_type>(1 - static_cast<value_type>(p)), + false, pol), function); } template <class RT1, class RT2, class RT3, class Policy> -typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED typename tools::promote_args<RT1, RT2, RT3>::type ibetac_inva(RT1 b, RT2 x, RT3 q, const Policy& pol) { typedef typename tools::promote_args<RT1, RT2, RT3>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; typedef typename policies::normalise< - Policy, - policies::promote_float<false>, - policies::promote_double<false>, + Policy, + policies::promote_float<false>, + policies::promote_double<false>, policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - static const char* function = "boost::math::ibetac_inva<%1%>(%1%,%1%,%1%)"; + constexpr auto function = "boost::math::ibetac_inva<%1%>(%1%,%1%,%1%)"; if(q == 1) { return policies::raise_overflow_error<result_type>(function, 0, Policy()); @@ -218,28 +220,28 @@ typename tools::promote_args<RT1, RT2, RT3>::type return policies::checked_narrowing_cast<result_type, forwarding_policy>( detail::ibeta_inv_ab_imp( - static_cast<value_type>(b), - static_cast<value_type>(x), - static_cast<value_type>(1 - static_cast<value_type>(q)), - static_cast<value_type>(q), + static_cast<value_type>(b), + static_cast<value_type>(x), + static_cast<value_type>(1 - static_cast<value_type>(q)), + static_cast<value_type>(q), false, pol), function); } template <class RT1, class RT2, class RT3, class Policy> -typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED typename tools::promote_args<RT1, RT2, RT3>::type ibeta_invb(RT1 a, RT2 x, RT3 p, const Policy& pol) { typedef typename tools::promote_args<RT1, RT2, RT3>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; typedef typename policies::normalise< - Policy, - policies::promote_float<false>, - policies::promote_double<false>, + Policy, + policies::promote_float<false>, + policies::promote_double<false>, policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - static const char* function = "boost::math::ibeta_invb<%1%>(%1%,%1%,%1%)"; + constexpr auto function = "boost::math::ibeta_invb<%1%>(%1%,%1%,%1%)"; if(p == 0) { return tools::min_value<result_type>(); @@ -251,19 +253,19 @@ typename tools::promote_args<RT1, RT2, RT3>::type return policies::checked_narrowing_cast<result_type, forwarding_policy>( detail::ibeta_inv_ab_imp( - static_cast<value_type>(a), - static_cast<value_type>(x), - static_cast<value_type>(p), - static_cast<value_type>(1 - static_cast<value_type>(p)), + static_cast<value_type>(a), + static_cast<value_type>(x), + static_cast<value_type>(p), + static_cast<value_type>(1 - static_cast<value_type>(p)), true, pol), function); } template <class RT1, class RT2, class RT3, class Policy> -typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED typename tools::promote_args<RT1, RT2, RT3>::type ibetac_invb(RT1 a, RT2 x, RT3 q, const Policy& pol) { - static const char* function = "boost::math::ibeta_invb<%1%>(%1%, %1%, %1%)"; + constexpr auto function = "boost::math::ibeta_invb<%1%>(%1%, %1%, %1%)"; typedef typename tools::promote_args<RT1, RT2, RT3>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; typedef typename policies::normalise< @@ -293,28 +295,28 @@ typename tools::promote_args<RT1, RT2, RT3>::type } template <class RT1, class RT2, class RT3> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type ibeta_inva(RT1 b, RT2 x, RT3 p) { return boost::math::ibeta_inva(b, x, p, policies::policy<>()); } template <class RT1, class RT2, class RT3> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type ibetac_inva(RT1 b, RT2 x, RT3 q) { return boost::math::ibetac_inva(b, x, q, policies::policy<>()); } template <class RT1, class RT2, class RT3> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type ibeta_invb(RT1 a, RT2 x, RT3 p) { return boost::math::ibeta_invb(a, x, p, policies::policy<>()); } template <class RT1, class RT2, class RT3> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type ibetac_invb(RT1 a, RT2 x, RT3 q) { return boost::math::ibetac_invb(a, x, q, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/ibeta_inverse.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/ibeta_inverse.hpp index 70f17a0b1a..6f222cf77d 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/ibeta_inverse.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/ibeta_inverse.hpp @@ -11,12 +11,14 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/precision.hpp> +#include <boost/math/tools/roots.hpp> +#include <boost/math/tools/tuple.hpp> #include <boost/math/special_functions/beta.hpp> #include <boost/math/special_functions/erf.hpp> -#include <boost/math/tools/roots.hpp> #include <boost/math/special_functions/detail/t_distribution_inv.hpp> #include <boost/math/special_functions/fpclassify.hpp> -#include <boost/math/tools/precision.hpp> namespace boost{ namespace math{ namespace detail{ @@ -27,12 +29,12 @@ namespace boost{ namespace math{ namespace detail{ template <class T> struct temme_root_finder { - temme_root_finder(const T t_, const T a_) : t(t_), a(a_) { + BOOST_MATH_GPU_ENABLED temme_root_finder(const T t_, const T a_) : t(t_), a(a_) { BOOST_MATH_ASSERT( math::tools::epsilon<T>() <= a && !(boost::math::isinf)(a)); } - boost::math::tuple<T, T> operator()(T x) + BOOST_MATH_GPU_ENABLED boost::math::tuple<T, T> operator()(T x) { BOOST_MATH_STD_USING // ADL of std names @@ -52,7 +54,7 @@ private: // Section 2. // template <class T, class Policy> -T temme_method_1_ibeta_inverse(T a, T b, T z, const Policy& pol) +BOOST_MATH_GPU_ENABLED T temme_method_1_ibeta_inverse(T a, T b, T z, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names @@ -138,7 +140,7 @@ T temme_method_1_ibeta_inverse(T a, T b, T z, const Policy& pol) // Section 3. // template <class T, class Policy> -T temme_method_2_ibeta_inverse(T /*a*/, T /*b*/, T z, T r, T theta, const Policy& pol) +BOOST_MATH_GPU_ENABLED T temme_method_2_ibeta_inverse(T /*a*/, T /*b*/, T z, T r, T theta, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names @@ -302,9 +304,23 @@ T temme_method_2_ibeta_inverse(T /*a*/, T /*b*/, T z, T r, T theta, const Policy // // And iterate: // - x = tools::newton_raphson_iterate( - temme_root_finder<T>(-lu, alpha), x, lower, upper, policies::digits<T, Policy>() / 2); - +#ifndef BOOST_MATH_NO_EXCEPTIONS + try { +#endif + x = tools::newton_raphson_iterate( + temme_root_finder<T>(-lu, alpha), x, lower, upper, policies::digits<T, Policy>() / 2); +#ifndef BOOST_MATH_NO_EXCEPTIONS + } + catch (const boost::math::evaluation_error&) + { + // Due to numerical instability we may have cases where no root is found when + // in fact we should just touch the origin. We simply ignore the error here + // and return our best guess for x so far... + // Maybe we should special case the symmetrical parameter case, but it's not clear + // whether that is the only situation when problems can occur. + // See https://github.com/boostorg/math/issues/1169 + } +#endif return x; } // @@ -315,10 +331,11 @@ T temme_method_2_ibeta_inverse(T /*a*/, T /*b*/, T z, T r, T theta, const Policy // Section 4. // template <class T, class Policy> -T temme_method_3_ibeta_inverse(T a, T b, T p, T q, const Policy& pol) +BOOST_MATH_GPU_ENABLED T temme_method_3_ibeta_inverse(T a, T b, T p, T q, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std names + // // Begin by getting an initial approximation for the quantity // eta from the dominant part of the incomplete beta: @@ -420,10 +437,10 @@ T temme_method_3_ibeta_inverse(T a, T b, T p, T q, const Policy& pol) template <class T, class Policy> struct ibeta_roots { - ibeta_roots(T _a, T _b, T t, bool inv = false) + BOOST_MATH_GPU_ENABLED ibeta_roots(T _a, T _b, T t, bool inv = false) : a(_a), b(_b), target(t), invert(inv) {} - boost::math::tuple<T, T, T> operator()(T x) + BOOST_MATH_GPU_ENABLED boost::math::tuple<T, T, T> operator()(T x) { BOOST_MATH_STD_USING // ADL of std names @@ -457,7 +474,7 @@ private: }; template <class T, class Policy> -T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) +BOOST_MATH_GPU_ENABLED T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) { BOOST_MATH_STD_USING // For ADL of math functions. @@ -487,8 +504,8 @@ T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) return p; } // Change things around so we can handle as b == 1 special case below: - std::swap(a, b); - std::swap(p, q); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(p, q); invert = true; } // @@ -524,8 +541,8 @@ T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) } else if(b > 0.5f) { - std::swap(a, b); - std::swap(p, q); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(p, q); invert = !invert; } } @@ -559,7 +576,7 @@ T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) y = -boost::math::expm1(boost::math::log1p(-q, pol) / a, pol); } if(invert) - std::swap(x, y); + BOOST_MATH_GPU_SAFE_SWAP(x, y); if(py) *py = y; return x; @@ -574,12 +591,12 @@ T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) // if(p > 0.5) { - std::swap(a, b); - std::swap(p, q); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(p, q); invert = !invert; } - T minv = (std::min)(a, b); - T maxv = (std::max)(a, b); + T minv = BOOST_MATH_GPU_SAFE_MIN(a, b); + T maxv = BOOST_MATH_GPU_SAFE_MAX(a, b); if((sqrt(minv) > (maxv - minv)) && (minv > 5)) { // @@ -630,8 +647,8 @@ T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) // if(a < b) { - std::swap(a, b); - std::swap(p, q); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(p, q); invert = !invert; } // @@ -694,8 +711,8 @@ T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) } if(fs < 0) { - std::swap(a, b); - std::swap(p, q); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(p, q); invert = !invert; xs = 1 - xs; } @@ -758,9 +775,9 @@ T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) if(ps < 0) { - std::swap(a, b); - std::swap(p, q); - std::swap(xs, xs2); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(p, q); + BOOST_MATH_GPU_SAFE_SWAP(xs, xs2); invert = !invert; } // @@ -823,8 +840,8 @@ T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) // if(b < a) { - std::swap(a, b); - std::swap(p, q); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(p, q); invert = !invert; } if (a < tools::min_value<T>()) @@ -890,9 +907,9 @@ T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) // if(x > 0.5) { - std::swap(a, b); - std::swap(p, q); - std::swap(x, y); + BOOST_MATH_GPU_SAFE_SWAP(a, b); + BOOST_MATH_GPU_SAFE_SWAP(p, q); + BOOST_MATH_GPU_SAFE_SWAP(x, y); invert = !invert; T l = 1 - upper; T u = 1 - lower; @@ -922,8 +939,8 @@ T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) if(x < lower) x = lower; } - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); - std::uintmax_t max_iter_used = 0; + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t max_iter_used = 0; // // Figure out how many digits to iterate towards: // @@ -946,7 +963,13 @@ T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) // Now iterate, we can use either p or q as the target here // depending on which is smaller: // + // Since we can't use halley_iterate on device we use newton raphson + // + #ifndef BOOST_MATH_HAS_GPU_SUPPORT x = boost::math::tools::halley_iterate( + #else + x = boost::math::tools::newton_raphson_iterate( + #endif boost::math::detail::ibeta_roots<T, Policy>(a, b, (p < q ? p : q), (p < q ? false : true)), x, lower, upper, digits, max_iter); policies::check_root_iterations<T>("boost::math::ibeta<%1%>(%1%, %1%, %1%)", max_iter + max_iter_used, pol); // @@ -968,10 +991,10 @@ T ibeta_inv_imp(T a, T b, T p, T q, const Policy& pol, T* py) } // namespace detail template <class T1, class T2, class T3, class T4, class Policy> -inline typename tools::promote_args<T1, T2, T3, T4>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3, T4>::type ibeta_inv(T1 a, T2 b, T3 p, T4* py, const Policy& pol) { - static const char* function = "boost::math::ibeta_inv<%1%>(%1%,%1%,%1%)"; + constexpr auto function = "boost::math::ibeta_inv<%1%>(%1%,%1%,%1%)"; BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args<T1, T2, T3, T4>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -1003,14 +1026,14 @@ inline typename tools::promote_args<T1, T2, T3, T4>::type } template <class T1, class T2, class T3, class T4> -inline typename tools::promote_args<T1, T2, T3, T4>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3, T4>::type ibeta_inv(T1 a, T2 b, T3 p, T4* py) { return ibeta_inv(a, b, p, py, policies::policy<>()); } template <class T1, class T2, class T3> -inline typename tools::promote_args<T1, T2, T3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3>::type ibeta_inv(T1 a, T2 b, T3 p) { typedef typename tools::promote_args<T1, T2, T3>::type result_type; @@ -1018,7 +1041,7 @@ inline typename tools::promote_args<T1, T2, T3>::type } template <class T1, class T2, class T3, class Policy> -inline typename tools::promote_args<T1, T2, T3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3>::type ibeta_inv(T1 a, T2 b, T3 p, const Policy& pol) { typedef typename tools::promote_args<T1, T2, T3>::type result_type; @@ -1026,10 +1049,10 @@ inline typename tools::promote_args<T1, T2, T3>::type } template <class T1, class T2, class T3, class T4, class Policy> -inline typename tools::promote_args<T1, T2, T3, T4>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3, T4>::type ibetac_inv(T1 a, T2 b, T3 q, T4* py, const Policy& pol) { - static const char* function = "boost::math::ibetac_inv<%1%>(%1%,%1%,%1%)"; + constexpr auto function = "boost::math::ibetac_inv<%1%>(%1%,%1%,%1%)"; BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args<T1, T2, T3, T4>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -1061,14 +1084,14 @@ inline typename tools::promote_args<T1, T2, T3, T4>::type } template <class T1, class T2, class T3, class T4> -inline typename tools::promote_args<T1, T2, T3, T4>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3, T4>::type ibetac_inv(T1 a, T2 b, T3 q, T4* py) { return ibetac_inv(a, b, q, py, policies::policy<>()); } template <class RT1, class RT2, class RT3> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type ibetac_inv(RT1 a, RT2 b, RT3 q) { typedef typename tools::promote_args<RT1, RT2, RT3>::type result_type; @@ -1076,7 +1099,7 @@ inline typename tools::promote_args<RT1, RT2, RT3>::type } template <class RT1, class RT2, class RT3, class Policy> -inline typename tools::promote_args<RT1, RT2, RT3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, RT3>::type ibetac_inv(RT1 a, RT2 b, RT3 q, const Policy& pol) { typedef typename tools::promote_args<RT1, RT2, RT3>::type result_type; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/iconv.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/iconv.hpp index 90b4aa9381..20889d411e 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/iconv.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/iconv.hpp @@ -10,28 +10,29 @@ #pragma once #endif -#include <type_traits> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> #include <boost/math/special_functions/round.hpp> namespace boost { namespace math { namespace detail{ template <class T, class Policy> -inline int iconv_imp(T v, Policy const&, std::true_type const&) +BOOST_MATH_GPU_ENABLED inline int iconv_imp(T v, Policy const&, boost::math::true_type const&) { return static_cast<int>(v); } template <class T, class Policy> -inline int iconv_imp(T v, Policy const& pol, std::false_type const&) +BOOST_MATH_GPU_ENABLED inline int iconv_imp(T v, Policy const& pol, boost::math::false_type const&) { BOOST_MATH_STD_USING return iround(v, pol); } template <class T, class Policy> -inline int iconv(T v, Policy const& pol) +BOOST_MATH_GPU_ENABLED inline int iconv(T v, Policy const& pol) { - typedef typename std::is_convertible<T, int>::type tag_type; + typedef typename boost::math::is_convertible<T, int>::type tag_type; return iconv_imp(v, pol, tag_type()); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/igamma_inverse.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/igamma_inverse.hpp index f6bbcd72d5..4efd4f78a3 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/igamma_inverse.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/igamma_inverse.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,6 +11,8 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/cstdint.hpp> #include <boost/math/tools/tuple.hpp> #include <boost/math/special_functions/gamma.hpp> #include <boost/math/special_functions/sign.hpp> @@ -21,7 +24,7 @@ namespace boost{ namespace math{ namespace detail{ template <class T> -T find_inverse_s(T p, T q) +BOOST_MATH_GPU_ENABLED T find_inverse_s(T p, T q) { // // Computation of the Incomplete Gamma Function Ratios and their Inverse @@ -41,8 +44,8 @@ T find_inverse_s(T p, T q) { t = sqrt(-2 * log(q)); } - static const double a[4] = { 3.31125922108741, 11.6616720288968, 4.28342155967104, 0.213623493715853 }; - static const double b[5] = { 1, 6.61053765625462, 6.40691597760039, 1.27364489782223, 0.3611708101884203e-1 }; + BOOST_MATH_STATIC const double a[4] = { 3.31125922108741, 11.6616720288968, 4.28342155967104, 0.213623493715853 }; + BOOST_MATH_STATIC const double b[5] = { 1, 6.61053765625462, 6.40691597760039, 1.27364489782223, 0.3611708101884203e-1 }; T s = t - tools::evaluate_polynomial(a, t) / tools::evaluate_polynomial(b, t); if(p < T(0.5)) s = -s; @@ -50,7 +53,7 @@ T find_inverse_s(T p, T q) } template <class T> -T didonato_SN(T a, T x, unsigned N, T tolerance = 0) +BOOST_MATH_GPU_ENABLED T didonato_SN(T a, T x, unsigned N, T tolerance = 0) { // // Computation of the Incomplete Gamma Function Ratios and their Inverse @@ -77,7 +80,7 @@ T didonato_SN(T a, T x, unsigned N, T tolerance = 0) } template <class T, class Policy> -inline T didonato_FN(T p, T a, T x, unsigned N, T tolerance, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T didonato_FN(T p, T a, T x, unsigned N, T tolerance, const Policy& pol) { // // Computation of the Incomplete Gamma Function Ratios and their Inverse @@ -93,7 +96,7 @@ inline T didonato_FN(T p, T a, T x, unsigned N, T tolerance, const Policy& pol) } template <class T, class Policy> -T find_inverse_gamma(T a, T p, T q, const Policy& pol, bool* p_has_10_digits) +BOOST_MATH_GPU_ENABLED T find_inverse_gamma(T a, T p, T q, const Policy& pol, bool* p_has_10_digits) { // // In order to understand what's going on here, you will @@ -233,7 +236,7 @@ T find_inverse_gamma(T a, T p, T q, const Policy& pol, bool* p_has_10_digits) } else { - T D = (std::max)(T(2), T(a * (a - 1))); + T D = BOOST_MATH_GPU_SAFE_MAX(T(2), T(a * (a - 1))); T lg = boost::math::lgamma(a, pol); T lb = log(q) + lg; if(lb < -D * T(2.3)) @@ -315,7 +318,7 @@ T find_inverse_gamma(T a, T p, T q, const Policy& pol, bool* p_has_10_digits) template <class T, class Policy> struct gamma_p_inverse_func { - gamma_p_inverse_func(T a_, T p_, bool inv) : a(a_), p(p_), invert(inv) + BOOST_MATH_GPU_ENABLED gamma_p_inverse_func(T a_, T p_, bool inv) : a(a_), p(p_), invert(inv) { // // If p is too near 1 then P(x) - p suffers from cancellation @@ -333,7 +336,7 @@ struct gamma_p_inverse_func } } - boost::math::tuple<T, T, T> operator()(const T& x)const + BOOST_MATH_GPU_ENABLED boost::math::tuple<T, T, T> operator()(const T& x)const { BOOST_FPU_EXCEPTION_GUARD // @@ -395,11 +398,11 @@ private: }; template <class T, class Policy> -T gamma_p_inv_imp(T a, T p, const Policy& pol) +BOOST_MATH_GPU_ENABLED T gamma_p_inv_imp(T a, T p, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std functions. - static const char* function = "boost::math::gamma_p_inv<%1%>(%1%, %1%)"; + constexpr auto function = "boost::math::gamma_p_inv<%1%>(%1%, %1%)"; BOOST_MATH_INSTRUMENT_VARIABLE(a); BOOST_MATH_INSTRUMENT_VARIABLE(p); @@ -442,7 +445,9 @@ T gamma_p_inv_imp(T a, T p, const Policy& pol) // // Go ahead and iterate: // - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + + #ifndef BOOST_MATH_HAS_GPU_SUPPORT guess = tools::halley_iterate( detail::gamma_p_inverse_func<T, Policy>(a, p, false), guess, @@ -450,6 +455,16 @@ T gamma_p_inv_imp(T a, T p, const Policy& pol) tools::max_value<T>(), digits, max_iter); + #else + guess = tools::newton_raphson_iterate( + detail::gamma_p_inverse_func<T, Policy>(a, p, false), + guess, + lower, + tools::max_value<T>(), + digits, + max_iter); + #endif + policies::check_root_iterations<T>(function, max_iter, pol); BOOST_MATH_INSTRUMENT_VARIABLE(guess); if(guess == lower) @@ -458,11 +473,11 @@ T gamma_p_inv_imp(T a, T p, const Policy& pol) } template <class T, class Policy> -T gamma_q_inv_imp(T a, T q, const Policy& pol) +BOOST_MATH_GPU_ENABLED T gamma_q_inv_imp(T a, T q, const Policy& pol) { BOOST_MATH_STD_USING // ADL of std functions. - static const char* function = "boost::math::gamma_q_inv<%1%>(%1%, %1%)"; + constexpr auto function = "boost::math::gamma_q_inv<%1%>(%1%, %1%)"; if(a <= 0) return policies::raise_domain_error<T>(function, "Argument a in the incomplete gamma function inverse must be >= 0 (got a=%1%).", a, pol); @@ -501,7 +516,9 @@ T gamma_q_inv_imp(T a, T q, const Policy& pol) // // Go ahead and iterate: // - std::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_root_iterations<Policy>(); + + #ifndef BOOST_MATH_HAS_GPU_SUPPORT guess = tools::halley_iterate( detail::gamma_p_inverse_func<T, Policy>(a, q, true), guess, @@ -509,6 +526,16 @@ T gamma_q_inv_imp(T a, T q, const Policy& pol) tools::max_value<T>(), digits, max_iter); + #else + guess = tools::newton_raphson_iterate( + detail::gamma_p_inverse_func<T, Policy>(a, q, true), + guess, + lower, + tools::max_value<T>(), + digits, + max_iter); + #endif + policies::check_root_iterations<T>(function, max_iter, pol); if(guess == lower) guess = policies::raise_underflow_error<T>(function, "Expected result known to be non-zero, but is smaller than the smallest available number.", pol); @@ -518,7 +545,7 @@ T gamma_q_inv_imp(T a, T q, const Policy& pol) } // namespace detail template <class T1, class T2, class Policy> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type gamma_p_inv(T1 a, T2 p, const Policy& pol) { typedef typename tools::promote_args<T1, T2>::type result_type; @@ -528,7 +555,7 @@ inline typename tools::promote_args<T1, T2>::type } template <class T1, class T2, class Policy> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type gamma_q_inv(T1 a, T2 p, const Policy& pol) { typedef typename tools::promote_args<T1, T2>::type result_type; @@ -538,14 +565,14 @@ inline typename tools::promote_args<T1, T2>::type } template <class T1, class T2> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type gamma_p_inv(T1 a, T2 p) { return gamma_p_inv(a, p, policies::policy<>()); } template <class T1, class T2> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type gamma_q_inv(T1 a, T2 p) { return gamma_q_inv(a, p, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/igamma_large.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/igamma_large.hpp index 5483b53fb6..8e0ad1b0dd 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/igamma_large.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/igamma_large.hpp @@ -1,4 +1,5 @@ // Copyright John Maddock 2006. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -59,13 +60,16 @@ #pragma GCC system_header #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> + namespace boost{ namespace math{ namespace detail{ // This version will never be called (at runtime), it's a stub used // when T is unsuitable to be passed to these routines: // template <class T, class Policy> -inline T igamma_temme_large(T, T, const Policy& /* pol */, std::integral_constant<int, 0> const *) +BOOST_MATH_GPU_ENABLED inline T igamma_temme_large(T, T, const Policy& /* pol */, const boost::math::integral_constant<int, 0>&) { // stub function, should never actually be called BOOST_MATH_ASSERT(0); @@ -75,8 +79,11 @@ inline T igamma_temme_large(T, T, const Policy& /* pol */, std::integral_constan // This version is accurate for up to 64-bit mantissa's, // (80-bit long double, or 10^-20). // + +#ifndef BOOST_MATH_HAS_GPU_SUPPORT + template <class T, class Policy> -T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64> const *) +BOOST_MATH_GPU_ENABLED T igamma_temme_large(T a, T x, const Policy& pol, const boost::math::integral_constant<int, 64>&) { BOOST_MATH_STD_USING // ADL of std functions T sigma = (x - a) / a; @@ -88,7 +95,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 T workspace[13]; - static const T C0[] = { + BOOST_MATH_STATIC const T C0[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.333333333333333333333), BOOST_MATH_BIG_CONSTANT(T, 64, 0.0833333333333333333333), BOOST_MATH_BIG_CONSTANT(T, 64, -0.0148148148148148148148), @@ -111,7 +118,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 }; workspace[0] = tools::evaluate_polynomial(C0, z); - static const T C1[] = { + BOOST_MATH_STATIC const T C1[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.00185185185185185185185), BOOST_MATH_BIG_CONSTANT(T, 64, -0.00347222222222222222222), BOOST_MATH_BIG_CONSTANT(T, 64, 0.00264550264550264550265), @@ -132,7 +139,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 }; workspace[1] = tools::evaluate_polynomial(C1, z); - static const T C2[] = { + BOOST_MATH_STATIC const T C2[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 0.00413359788359788359788), BOOST_MATH_BIG_CONSTANT(T, 64, -0.00268132716049382716049), BOOST_MATH_BIG_CONSTANT(T, 64, 0.000771604938271604938272), @@ -151,7 +158,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 }; workspace[2] = tools::evaluate_polynomial(C2, z); - static const T C3[] = { + BOOST_MATH_STATIC const T C3[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 0.000649434156378600823045), BOOST_MATH_BIG_CONSTANT(T, 64, 0.000229472093621399176955), BOOST_MATH_BIG_CONSTANT(T, 64, -0.000469189494395255712128), @@ -168,7 +175,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 }; workspace[3] = tools::evaluate_polynomial(C3, z); - static const T C4[] = { + BOOST_MATH_STATIC const T C4[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.000861888290916711698605), BOOST_MATH_BIG_CONSTANT(T, 64, 0.000784039221720066627474), BOOST_MATH_BIG_CONSTANT(T, 64, -0.000299072480303190179733), @@ -183,7 +190,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 }; workspace[4] = tools::evaluate_polynomial(C4, z); - static const T C5[] = { + BOOST_MATH_STATIC const T C5[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.000336798553366358150309), BOOST_MATH_BIG_CONSTANT(T, 64, -0.697281375836585777429e-4), BOOST_MATH_BIG_CONSTANT(T, 64, 0.000277275324495939207873), @@ -196,7 +203,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 }; workspace[5] = tools::evaluate_polynomial(C5, z); - static const T C6[] = { + BOOST_MATH_STATIC const T C6[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 0.000531307936463992223166), BOOST_MATH_BIG_CONSTANT(T, 64, -0.000592166437353693882865), BOOST_MATH_BIG_CONSTANT(T, 64, 0.000270878209671804482771), @@ -211,7 +218,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 }; workspace[6] = tools::evaluate_polynomial(C6, z); - static const T C7[] = { + BOOST_MATH_STATIC const T C7[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 0.000344367606892377671254), BOOST_MATH_BIG_CONSTANT(T, 64, 0.517179090826059219337e-4), BOOST_MATH_BIG_CONSTANT(T, 64, -0.000334931610811422363117), @@ -224,7 +231,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 }; workspace[7] = tools::evaluate_polynomial(C7, z); - static const T C8[] = { + BOOST_MATH_STATIC const T C8[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.000652623918595309418922), BOOST_MATH_BIG_CONSTANT(T, 64, 0.000839498720672087279993), BOOST_MATH_BIG_CONSTANT(T, 64, -0.000438297098541721005061), @@ -235,7 +242,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 }; workspace[8] = tools::evaluate_polynomial(C8, z); - static const T C9[] = { + BOOST_MATH_STATIC const T C9[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.000596761290192746250124), BOOST_MATH_BIG_CONSTANT(T, 64, -0.720489541602001055909e-4), BOOST_MATH_BIG_CONSTANT(T, 64, 0.000678230883766732836162), @@ -244,14 +251,14 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 }; workspace[9] = tools::evaluate_polynomial(C9, z); - static const T C10[] = { + BOOST_MATH_STATIC const T C10[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 0.00133244544948006563713), BOOST_MATH_BIG_CONSTANT(T, 64, -0.0019144384985654775265), BOOST_MATH_BIG_CONSTANT(T, 64, 0.00110893691345966373396), }; workspace[10] = tools::evaluate_polynomial(C10, z); - static const T C11[] = { + BOOST_MATH_STATIC const T C11[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 0.00157972766073083495909), BOOST_MATH_BIG_CONSTANT(T, 64, 0.000162516262783915816899), BOOST_MATH_BIG_CONSTANT(T, 64, -0.00206334210355432762645), @@ -260,7 +267,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 }; workspace[11] = tools::evaluate_polynomial(C11, z); - static const T C12[] = { + BOOST_MATH_STATIC const T C12[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.00407251211951401664727), BOOST_MATH_BIG_CONSTANT(T, 64, 0.00640336283380806979482), BOOST_MATH_BIG_CONSTANT(T, 64, -0.00404101610816766177474), @@ -276,12 +283,15 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 64 return result; } + +#endif + // // This one is accurate for 53-bit mantissa's // (IEEE double precision or 10^-17). // template <class T, class Policy> -T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 53> const *) +BOOST_MATH_GPU_ENABLED T igamma_temme_large(T a, T x, const Policy& pol, const boost::math::integral_constant<int, 53>&) { BOOST_MATH_STD_USING // ADL of std functions T sigma = (x - a) / a; @@ -293,7 +303,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 53 T workspace[10]; - static const T C0[] = { + BOOST_MATH_STATIC const T C0[] = { static_cast<T>(-0.33333333333333333L), static_cast<T>(0.083333333333333333L), static_cast<T>(-0.014814814814814815L), @@ -312,7 +322,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 53 }; workspace[0] = tools::evaluate_polynomial(C0, z); - static const T C1[] = { + BOOST_MATH_STATIC const T C1[] = { static_cast<T>(-0.0018518518518518519L), static_cast<T>(-0.0034722222222222222L), static_cast<T>(0.0026455026455026455L), @@ -329,7 +339,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 53 }; workspace[1] = tools::evaluate_polynomial(C1, z); - static const T C2[] = { + BOOST_MATH_STATIC const T C2[] = { static_cast<T>(0.0041335978835978836L), static_cast<T>(-0.0026813271604938272L), static_cast<T>(0.00077160493827160494L), @@ -344,7 +354,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 53 }; workspace[2] = tools::evaluate_polynomial(C2, z); - static const T C3[] = { + BOOST_MATH_STATIC const T C3[] = { static_cast<T>(0.00064943415637860082L), static_cast<T>(0.00022947209362139918L), static_cast<T>(-0.00046918949439525571L), @@ -357,7 +367,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 53 }; workspace[3] = tools::evaluate_polynomial(C3, z); - static const T C4[] = { + BOOST_MATH_STATIC const T C4[] = { static_cast<T>(-0.0008618882909167117L), static_cast<T>(0.00078403922172006663L), static_cast<T>(-0.00029907248030319018L), @@ -368,7 +378,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 53 }; workspace[4] = tools::evaluate_polynomial(C4, z); - static const T C5[] = { + BOOST_MATH_STATIC const T C5[] = { static_cast<T>(-0.00033679855336635815L), static_cast<T>(-0.69728137583658578e-4L), static_cast<T>(0.00027727532449593921L), @@ -381,7 +391,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 53 }; workspace[5] = tools::evaluate_polynomial(C5, z); - static const T C6[] = { + BOOST_MATH_STATIC const T C6[] = { static_cast<T>(0.00053130793646399222L), static_cast<T>(-0.00059216643735369388L), static_cast<T>(0.00027087820967180448L), @@ -392,7 +402,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 53 }; workspace[6] = tools::evaluate_polynomial(C6, z); - static const T C7[] = { + BOOST_MATH_STATIC const T C7[] = { static_cast<T>(0.00034436760689237767L), static_cast<T>(0.51717909082605922e-4L), static_cast<T>(-0.00033493161081142236L), @@ -401,7 +411,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 53 }; workspace[7] = tools::evaluate_polynomial(C7, z); - static const T C8[] = { + BOOST_MATH_STATIC const T C8[] = { static_cast<T>(-0.00065262391859530942L), static_cast<T>(0.00083949872067208728L), static_cast<T>(-0.00043829709854172101L), @@ -414,7 +424,18 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 53 if(x < a) result = -result; + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + result += ::erfcf(::sqrtf(y)) / 2; + } + else + { + result += ::erfc(::sqrt(y)) / 2; + } + #else result += boost::math::erfc(sqrt(y), pol) / 2; + #endif return result; } @@ -423,7 +444,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 53 // (IEEE float precision, or 10^-8) // template <class T, class Policy> -T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 24> const *) +BOOST_MATH_GPU_ENABLED T igamma_temme_large(T a, T x, const Policy& pol, const boost::math::integral_constant<int, 24>&) { BOOST_MATH_STD_USING // ADL of std functions T sigma = (x - a) / a; @@ -435,7 +456,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 24 T workspace[3]; - static const T C0[] = { + BOOST_MATH_STATIC const T C0[] = { static_cast<T>(-0.333333333L), static_cast<T>(0.0833333333L), static_cast<T>(-0.0148148148L), @@ -446,7 +467,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 24 }; workspace[0] = tools::evaluate_polynomial(C0, z); - static const T C1[] = { + BOOST_MATH_STATIC const T C1[] = { static_cast<T>(-0.00185185185L), static_cast<T>(-0.00347222222L), static_cast<T>(0.00264550265L), @@ -455,7 +476,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 24 }; workspace[1] = tools::evaluate_polynomial(C1, z); - static const T C2[] = { + BOOST_MATH_STATIC const T C2[] = { static_cast<T>(0.00413359788L), static_cast<T>(-0.00268132716L), static_cast<T>(0.000771604938L), @@ -467,7 +488,18 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 24 if(x < a) result = -result; + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + result += ::erfcf(::sqrtf(y)) / 2; + } + else + { + result += ::erfc(::sqrt(y)) / 2; + } + #else result += boost::math::erfc(sqrt(y), pol) / 2; + #endif return result; } @@ -478,8 +510,10 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 24 // It's use for a < 200 is not recommended, that would // require many more terms in the polynomials. // +#ifndef BOOST_MATH_HAS_GPU_SUPPORT + template <class T, class Policy> -T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 113> const *) +BOOST_MATH_GPU_ENABLED T igamma_temme_large(T a, T x, const Policy& pol, const boost::math::integral_constant<int, 113>&) { BOOST_MATH_STD_USING // ADL of std functions T sigma = (x - a) / a; @@ -491,7 +525,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 T workspace[14]; - static const T C0[] = { + BOOST_MATH_STATIC const T C0[] = { BOOST_MATH_BIG_CONSTANT(T, 113, -0.333333333333333333333333333333333333), BOOST_MATH_BIG_CONSTANT(T, 113, 0.0833333333333333333333333333333333333), BOOST_MATH_BIG_CONSTANT(T, 113, -0.0148148148148148148148148148148148148), @@ -526,7 +560,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 }; workspace[0] = tools::evaluate_polynomial(C0, z); - static const T C1[] = { + BOOST_MATH_STATIC const T C1[] = { BOOST_MATH_BIG_CONSTANT(T, 113, -0.00185185185185185185185185185185185185), BOOST_MATH_BIG_CONSTANT(T, 113, -0.00347222222222222222222222222222222222), BOOST_MATH_BIG_CONSTANT(T, 113, 0.0026455026455026455026455026455026455), @@ -559,7 +593,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 }; workspace[1] = tools::evaluate_polynomial(C1, z); - static const T C2[] = { + BOOST_MATH_STATIC const T C2[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 0.0041335978835978835978835978835978836), BOOST_MATH_BIG_CONSTANT(T, 113, -0.00268132716049382716049382716049382716), BOOST_MATH_BIG_CONSTANT(T, 113, 0.000771604938271604938271604938271604938), @@ -590,7 +624,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 }; workspace[2] = tools::evaluate_polynomial(C2, z); - static const T C3[] = { + BOOST_MATH_STATIC const T C3[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 0.000649434156378600823045267489711934156), BOOST_MATH_BIG_CONSTANT(T, 113, 0.000229472093621399176954732510288065844), BOOST_MATH_BIG_CONSTANT(T, 113, -0.000469189494395255712128140111679206329), @@ -619,7 +653,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 }; workspace[3] = tools::evaluate_polynomial(C3, z); - static const T C4[] = { + BOOST_MATH_STATIC const T C4[] = { BOOST_MATH_BIG_CONSTANT(T, 113, -0.000861888290916711698604702719929057378), BOOST_MATH_BIG_CONSTANT(T, 113, 0.00078403922172006662747403488144228885), BOOST_MATH_BIG_CONSTANT(T, 113, -0.000299072480303190179733389609932819809), @@ -646,7 +680,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 }; workspace[4] = tools::evaluate_polynomial(C4, z); - static const T C5[] = { + BOOST_MATH_STATIC const T C5[] = { BOOST_MATH_BIG_CONSTANT(T, 113, -0.000336798553366358150308767592718210002), BOOST_MATH_BIG_CONSTANT(T, 113, -0.697281375836585777429398828575783308e-4), BOOST_MATH_BIG_CONSTANT(T, 113, 0.00027727532449593920787336425196507501), @@ -667,7 +701,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 }; workspace[5] = tools::evaluate_polynomial(C5, z); - static const T C6[] = { + BOOST_MATH_STATIC const T C6[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 0.00053130793646399222316574854297762391), BOOST_MATH_BIG_CONSTANT(T, 113, -0.000592166437353693882864836225604401187), BOOST_MATH_BIG_CONSTANT(T, 113, 0.000270878209671804482771279183488328692), @@ -686,7 +720,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 }; workspace[6] = tools::evaluate_polynomial(C6, z); - static const T C7[] = { + BOOST_MATH_STATIC const T C7[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 0.000344367606892377671254279625108523655), BOOST_MATH_BIG_CONSTANT(T, 113, 0.517179090826059219337057843002058823e-4), BOOST_MATH_BIG_CONSTANT(T, 113, -0.000334931610811422363116635090580012327), @@ -703,7 +737,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 }; workspace[7] = tools::evaluate_polynomial(C7, z); - static const T C8[] = { + BOOST_MATH_STATIC const T C8[] = { BOOST_MATH_BIG_CONSTANT(T, 113, -0.000652623918595309418922034919726622692), BOOST_MATH_BIG_CONSTANT(T, 113, 0.000839498720672087279993357516764983445), BOOST_MATH_BIG_CONSTANT(T, 113, -0.000438297098541721005061087953050560377), @@ -718,7 +752,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 }; workspace[8] = tools::evaluate_polynomial(C8, z); - static const T C9[] = { + BOOST_MATH_STATIC const T C9[] = { BOOST_MATH_BIG_CONSTANT(T, 113, -0.000596761290192746250124390067179459605), BOOST_MATH_BIG_CONSTANT(T, 113, -0.720489541602001055908571930225015052e-4), BOOST_MATH_BIG_CONSTANT(T, 113, 0.000678230883766732836161951166000673426), @@ -731,7 +765,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 }; workspace[9] = tools::evaluate_polynomial(C9, z); - static const T C10[] = { + BOOST_MATH_STATIC const T C10[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 0.00133244544948006563712694993432717968), BOOST_MATH_BIG_CONSTANT(T, 113, -0.00191443849856547752650089885832852254), BOOST_MATH_BIG_CONSTANT(T, 113, 0.0011089369134596637339607446329267522), @@ -742,7 +776,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 }; workspace[10] = tools::evaluate_polynomial(C10, z); - static const T C11[] = { + BOOST_MATH_STATIC const T C11[] = { BOOST_MATH_BIG_CONSTANT(T, 113, 0.00157972766073083495908785631307733022), BOOST_MATH_BIG_CONSTANT(T, 113, 0.000162516262783915816898635123980270998), BOOST_MATH_BIG_CONSTANT(T, 113, -0.00206334210355432762645284467690276817), @@ -751,7 +785,7 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 }; workspace[11] = tools::evaluate_polynomial(C11, z); - static const T C12[] = { + BOOST_MATH_STATIC const T C12[] = { BOOST_MATH_BIG_CONSTANT(T, 113, -0.00407251211951401664727281097914544601), BOOST_MATH_BIG_CONSTANT(T, 113, 0.00640336283380806979482363809026579583), BOOST_MATH_BIG_CONSTANT(T, 113, -0.00404101610816766177473974858518094879), @@ -769,6 +803,8 @@ T igamma_temme_large(T a, T x, const Policy& pol, std::integral_constant<int, 11 return result; } +#endif + } // namespace detail } // namespace math } // namespace math diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/lgamma_small.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/lgamma_small.hpp index 6a4a9171fd..1ce52fac30 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/lgamma_small.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/lgamma_small.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,7 +11,11 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> #include <boost/math/tools/big_constant.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/precision.hpp> +#include <boost/math/special_functions/lanczos.hpp> #if defined(__GNUC__) && defined(BOOST_MATH_USE_FLOAT128) // @@ -28,15 +33,15 @@ namespace boost{ namespace math{ namespace detail{ // These need forward declaring to keep GCC happy: // template <class T, class Policy, class Lanczos> -T gamma_imp(T z, const Policy& pol, const Lanczos& l); +BOOST_MATH_GPU_ENABLED T gamma_imp(T z, const Policy& pol, const Lanczos& l); template <class T, class Policy> -T gamma_imp(T z, const Policy& pol, const lanczos::undefined_lanczos& l); +BOOST_MATH_GPU_ENABLED T gamma_imp(T z, const Policy& pol, const lanczos::undefined_lanczos& l); // // lgamma for small arguments: // template <class T, class Policy, class Lanczos> -T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 64>&, const Policy& /* l */, const Lanczos&) +BOOST_MATH_GPU_ENABLED T lgamma_small_imp(T z, T zm1, T zm2, const boost::math::integral_constant<int, 64>&, const Policy& /* l */, const Lanczos&) { // This version uses rational approximations for small // values of z accurate enough for 64-bit mantissas @@ -87,7 +92,7 @@ T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 64>&, co // At long double: Max error found: 1.987e-21 // Maximum Deviation Found (approximation error): 5.900e-24 // - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -0.180355685678449379109e-1)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.25126649619989678683e-1)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.494103151567532234274e-1)), @@ -96,7 +101,7 @@ T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 64>&, co static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -0.541009869215204396339e-3)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -0.324588649825948492091e-4)) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.1e1)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.196202987197795200688e1)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.148019669424231326694e1)), @@ -107,7 +112,7 @@ T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 64>&, co static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -0.223352763208617092964e-6)) }; - static const float Y = 0.158963680267333984375e0f; + constexpr float Y = 0.158963680267333984375e0f; T r = zm2 * (z + 1); T R = tools::evaluate_polynomial(P, zm2); @@ -152,9 +157,9 @@ T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 64>&, co // Expected Error Term: 3.139e-021 // - static const float Y = 0.52815341949462890625f; + constexpr float Y = 0.52815341949462890625f; - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.490622454069039543534e-1)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -0.969117530159521214579e-1)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -0.414983358359495381969e0)), @@ -163,7 +168,7 @@ T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 64>&, co static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -0.240149820648571559892e-1)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -0.100346687696279557415e-2)) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.1e1)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.302349829846463038743e1)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.348739585360723852576e1)), @@ -197,9 +202,9 @@ T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 64>&, co // Maximum Deviation Found: 2.151e-021 // Expected Error Term: 2.150e-021 // - static const float Y = 0.452017307281494140625f; + constexpr float Y = 0.452017307281494140625f; - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -0.292329721830270012337e-1)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.144216267757192309184e0)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -0.142440390738631274135e0)), @@ -207,7 +212,7 @@ T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 64>&, co static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -0.850535976868336437746e-2)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.431171342679297331241e-3)) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.1e1)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -0.150169356054485044494e1)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.846973248876495016101e0)), @@ -224,8 +229,10 @@ T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 64>&, co } return result; } + +#ifndef BOOST_MATH_HAS_GPU_SUPPORT template <class T, class Policy, class Lanczos> -T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 113>&, const Policy& /* l */, const Lanczos&) +T lgamma_small_imp(T z, T zm1, T zm2, const boost::math::integral_constant<int, 113>&, const Policy& /* l */, const Lanczos&) { // // This version uses rational approximations for small @@ -482,7 +489,7 @@ T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 113>&, c return result; } template <class T, class Policy, class Lanczos> -T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 0>&, const Policy& pol, const Lanczos& l) +BOOST_MATH_GPU_ENABLED T lgamma_small_imp(T z, T zm1, T zm2, const boost::math::integral_constant<int, 0>&, const Policy& pol, const Lanczos& l) { // // No rational approximations are available because either @@ -526,6 +533,8 @@ T lgamma_small_imp(T z, T zm1, T zm2, const std::integral_constant<int, 0>&, con return result; } +#endif // BOOST_MATH_HAS_GPU_SUPPORT + }}} // namespaces #endif // BOOST_MATH_SPECIAL_FUNCTIONS_DETAIL_LGAMMA_SMALL diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/round_fwd.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/round_fwd.hpp index c58459e36d..7d69f8b9c5 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/round_fwd.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/round_fwd.hpp @@ -1,4 +1,5 @@ // Copyright John Maddock 2008. +// Copyright Matt Borland 2024 // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. @@ -21,53 +22,53 @@ namespace boost { template <class T, class Policy> - typename tools::promote_args<T>::type trunc(const T& v, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename tools::promote_args<T>::type trunc(const T& v, const Policy& pol); template <class T> - typename tools::promote_args<T>::type trunc(const T& v); + BOOST_MATH_GPU_ENABLED typename tools::promote_args<T>::type trunc(const T& v); template <class T, class Policy> - int itrunc(const T& v, const Policy& pol); + BOOST_MATH_GPU_ENABLED int itrunc(const T& v, const Policy& pol); template <class T> - int itrunc(const T& v); + BOOST_MATH_GPU_ENABLED int itrunc(const T& v); template <class T, class Policy> - long ltrunc(const T& v, const Policy& pol); + BOOST_MATH_GPU_ENABLED long ltrunc(const T& v, const Policy& pol); template <class T> - long ltrunc(const T& v); + BOOST_MATH_GPU_ENABLED long ltrunc(const T& v); template <class T, class Policy> - long long lltrunc(const T& v, const Policy& pol); + BOOST_MATH_GPU_ENABLED long long lltrunc(const T& v, const Policy& pol); template <class T> - long long lltrunc(const T& v); + BOOST_MATH_GPU_ENABLED long long lltrunc(const T& v); template <class T, class Policy> - typename tools::promote_args<T>::type round(const T& v, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename tools::promote_args<T>::type round(const T& v, const Policy& pol); template <class T> - typename tools::promote_args<T>::type round(const T& v); + BOOST_MATH_GPU_ENABLED typename tools::promote_args<T>::type round(const T& v); template <class T, class Policy> - int iround(const T& v, const Policy& pol); + BOOST_MATH_GPU_ENABLED int iround(const T& v, const Policy& pol); template <class T> - int iround(const T& v); + BOOST_MATH_GPU_ENABLED int iround(const T& v); template <class T, class Policy> - long lround(const T& v, const Policy& pol); + BOOST_MATH_GPU_ENABLED long lround(const T& v, const Policy& pol); template <class T> - long lround(const T& v); + BOOST_MATH_GPU_ENABLED long lround(const T& v); template <class T, class Policy> - long long llround(const T& v, const Policy& pol); + BOOST_MATH_GPU_ENABLED long long llround(const T& v, const Policy& pol); template <class T> - long long llround(const T& v); + BOOST_MATH_GPU_ENABLED long long llround(const T& v); template <class T, class Policy> - T modf(const T& v, T* ipart, const Policy& pol); + BOOST_MATH_GPU_ENABLED T modf(const T& v, T* ipart, const Policy& pol); template <class T> - T modf(const T& v, T* ipart); + BOOST_MATH_GPU_ENABLED T modf(const T& v, T* ipart); template <class T, class Policy> - T modf(const T& v, int* ipart, const Policy& pol); + BOOST_MATH_GPU_ENABLED T modf(const T& v, int* ipart, const Policy& pol); template <class T> - T modf(const T& v, int* ipart); + BOOST_MATH_GPU_ENABLED T modf(const T& v, int* ipart); template <class T, class Policy> - T modf(const T& v, long* ipart, const Policy& pol); + BOOST_MATH_GPU_ENABLED T modf(const T& v, long* ipart, const Policy& pol); template <class T> - T modf(const T& v, long* ipart); + BOOST_MATH_GPU_ENABLED T modf(const T& v, long* ipart); template <class T, class Policy> - T modf(const T& v, long long* ipart, const Policy& pol); + BOOST_MATH_GPU_ENABLED T modf(const T& v, long long* ipart, const Policy& pol); template <class T> - T modf(const T& v, long long* ipart); + BOOST_MATH_GPU_ENABLED T modf(const T& v, long long* ipart); } } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/t_distribution_inv.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/t_distribution_inv.hpp index 9209b6d405..79a29a0274 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/t_distribution_inv.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/t_distribution_inv.hpp @@ -11,6 +11,9 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/special_functions/cbrt.hpp> #include <boost/math/special_functions/round.hpp> #include <boost/math/special_functions/trunc.hpp> @@ -24,7 +27,7 @@ namespace boost{ namespace math{ namespace detail{ // Communications of the ACM, 13(10): 619-620, Oct., 1970. // template <class T, class Policy> -T inverse_students_t_hill(T ndf, T u, const Policy& pol) +BOOST_MATH_GPU_ENABLED T inverse_students_t_hill(T ndf, T u, const Policy& pol) { BOOST_MATH_STD_USING BOOST_MATH_ASSERT(u <= 0.5); @@ -74,7 +77,7 @@ T inverse_students_t_hill(T ndf, T u, const Policy& pol) // Journal of Computational Finance, Vol 9 Issue 4, pp 37-73, Summer 2006 // template <class T, class Policy> -T inverse_students_t_tail_series(T df, T v, const Policy& pol) +BOOST_MATH_GPU_ENABLED T inverse_students_t_tail_series(T df, T v, const Policy& pol) { BOOST_MATH_STD_USING // Tail series expansion, see section 6 of Shaw's paper. @@ -125,7 +128,7 @@ T inverse_students_t_tail_series(T df, T v, const Policy& pol) } template <class T, class Policy> -T inverse_students_t_body_series(T df, T u, const Policy& pol) +BOOST_MATH_GPU_ENABLED T inverse_students_t_body_series(T df, T u, const Policy& pol) { BOOST_MATH_STD_USING // @@ -204,7 +207,7 @@ T inverse_students_t_body_series(T df, T u, const Policy& pol) } template <class T, class Policy> -T inverse_students_t(T df, T u, T v, const Policy& pol, bool* pexact = nullptr) +BOOST_MATH_GPU_ENABLED T inverse_students_t(T df, T u, T v, const Policy& pol, bool* pexact = nullptr) { // // df = number of degrees of freedom. @@ -220,7 +223,7 @@ T inverse_students_t(T df, T u, T v, const Policy& pol, bool* pexact = nullptr) if(u > v) { // function is symmetric, invert it: - std::swap(u, v); + BOOST_MATH_GPU_SAFE_SWAP(u, v); invert = true; } if((floor(df) == df) && (df < 20)) @@ -416,7 +419,7 @@ calculate_real: } template <class T, class Policy> -inline T find_ibeta_inv_from_t_dist(T a, T p, T /*q*/, T* py, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T find_ibeta_inv_from_t_dist(T a, T p, T /*q*/, T* py, const Policy& pol) { T u = p / 2; T v = 1 - u; @@ -426,8 +429,21 @@ inline T find_ibeta_inv_from_t_dist(T a, T p, T /*q*/, T* py, const Policy& pol) return df / (df + t * t); } +// NVRTC requires this forward decl because there is a header cycle between here and ibeta_inverse.hpp +#ifdef BOOST_MATH_HAS_NVRTC + +} // Namespace detail + +template <class T1, class T2, class T3, class T4, class Policy> +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3, T4>::type + ibeta_inv(T1 a, T2 b, T3 p, T4* py, const Policy& pol); + +namespace detail { + +#endif + template <class T, class Policy> -inline T fast_students_t_quantile_imp(T df, T p, const Policy& pol, const std::false_type*) +BOOST_MATH_GPU_ENABLED inline T fast_students_t_quantile_imp(T df, T p, const Policy& pol, const boost::math::false_type*) { BOOST_MATH_STD_USING // @@ -450,12 +466,12 @@ inline T fast_students_t_quantile_imp(T df, T p, const Policy& pol, const std::f } template <class T, class Policy> -T fast_students_t_quantile_imp(T df, T p, const Policy& pol, const std::true_type*) +BOOST_MATH_GPU_ENABLED T fast_students_t_quantile_imp(T df, T p, const Policy& pol, const boost::math::true_type*) { BOOST_MATH_STD_USING bool invert = false; if((df < 2) && (floor(df) != df)) - return boost::math::detail::fast_students_t_quantile_imp(df, p, pol, static_cast<std::false_type*>(nullptr)); + return boost::math::detail::fast_students_t_quantile_imp(df, p, pol, static_cast<boost::math::false_type*>(nullptr)); if(p > 0.5) { p = 1 - p; @@ -521,7 +537,7 @@ T fast_students_t_quantile_imp(T df, T p, const Policy& pol, const std::true_typ } template <class T, class Policy> -inline T fast_students_t_quantile(T df, T p, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T fast_students_t_quantile(T df, T p, const Policy& pol) { typedef typename policies::evaluation<T, Policy>::type value_type; typedef typename policies::normalise< @@ -531,12 +547,12 @@ inline T fast_students_t_quantile(T df, T p, const Policy& pol) policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - typedef std::integral_constant<bool, - (std::numeric_limits<T>::digits <= 53) + typedef boost::math::integral_constant<bool, + (boost::math::numeric_limits<T>::digits <= 53) && - (std::numeric_limits<T>::is_specialized) + (boost::math::numeric_limits<T>::is_specialized) && - (std::numeric_limits<T>::radix == 2) + (boost::math::numeric_limits<T>::radix == 2) > tag_type; return policies::checked_narrowing_cast<T, forwarding_policy>(fast_students_t_quantile_imp(static_cast<value_type>(df), static_cast<value_type>(p), pol, static_cast<tag_type*>(nullptr)), "boost::math::students_t_quantile<%1%>(%1%,%1%,%1%)"); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/unchecked_factorial.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/unchecked_factorial.hpp index b528a24fe9..92481f2c6e 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/detail/unchecked_factorial.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/detail/unchecked_factorial.hpp @@ -10,19 +10,23 @@ #pragma once #endif -#ifdef _MSC_VER -#pragma warning(push) // Temporary until lexical cast fixed. -#pragma warning(disable: 4127 4701) -#endif -#include <boost/math/tools/convert_from_string.hpp> -#ifdef _MSC_VER -#pragma warning(pop) -#endif -#include <cmath> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/array.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/special_functions/math_fwd.hpp> -#include <boost/math/tools/cxx03_warn.hpp> -#include <array> -#include <type_traits> + +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +# ifdef _MSC_VER +# pragma warning(push) // Temporary until lexical cast fixed. +# pragma warning(disable: 4127 4701) +# endif +# include <boost/math/tools/convert_from_string.hpp> +# ifdef _MSC_VER +# pragma warning(pop) +# endif +#endif + #if defined(__GNUC__) && defined(BOOST_MATH_USE_FLOAT128) // @@ -46,11 +50,21 @@ struct max_factorial; template <class T, bool = true> struct unchecked_factorial_data; +#ifdef BOOST_MATH_HAS_NVRTC + +// Need fwd decl +template <typename T> +BOOST_MATH_GPU_ENABLED inline T unchecked_factorial(unsigned i); + +#endif + +#ifndef BOOST_MATH_HAS_GPU_SUPPORT + template <bool b> struct unchecked_factorial_data<float, b> { #ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES - static constexpr std::array<float, 35> factorials = { { + static constexpr boost::math::array<float, 35> factorials = { { 1.0F, 1.0F, 2.0F, @@ -88,15 +102,15 @@ struct unchecked_factorial_data<float, b> 0.29523279903960414084761860964352e39F, }}; #else - static const std::array<float, 35> factorials; + static const boost::math::array<float, 35> factorials; #endif }; template<bool b> #ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES - constexpr std::array<float, 35> unchecked_factorial_data<float, b>::factorials; + constexpr boost::math::array<float, 35> unchecked_factorial_data<float, b>::factorials; #else - const std::array<float, 35> unchecked_factorial_data<float, b>::factorials = {{ + const boost::math::array<float, 35> unchecked_factorial_data<float, b>::factorials = {{ 1.0F, 1.0F, 2.0F, @@ -137,22 +151,72 @@ template<bool b> // Definitions: template <> -inline BOOST_MATH_CONSTEXPR_TABLE_FUNCTION float unchecked_factorial<float>(unsigned i BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(float)) +BOOST_MATH_GPU_ENABLED inline BOOST_MATH_CONSTEXPR_TABLE_FUNCTION float unchecked_factorial<float>(unsigned i BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(float)) { return unchecked_factorial_data<float>::factorials[i]; } +#else + +template <> +BOOST_MATH_GPU_ENABLED inline BOOST_MATH_CONSTEXPR_TABLE_FUNCTION float unchecked_factorial<float>(unsigned i BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(float)) +{ + constexpr float factorials[] = { + 1.0F, + 1.0F, + 2.0F, + 6.0F, + 24.0F, + 120.0F, + 720.0F, + 5040.0F, + 40320.0F, + 362880.0F, + 3628800.0F, + 39916800.0F, + 479001600.0F, + 6227020800.0F, + 87178291200.0F, + 1307674368000.0F, + 20922789888000.0F, + 355687428096000.0F, + 6402373705728000.0F, + 121645100408832000.0F, + 0.243290200817664e19F, + 0.5109094217170944e20F, + 0.112400072777760768e22F, + 0.2585201673888497664e23F, + 0.62044840173323943936e24F, + 0.15511210043330985984e26F, + 0.403291461126605635584e27F, + 0.10888869450418352160768e29F, + 0.304888344611713860501504e30F, + 0.8841761993739701954543616e31F, + 0.26525285981219105863630848e33F, + 0.822283865417792281772556288e34F, + 0.26313083693369353016721801216e36F, + 0.868331761881188649551819440128e37F, + 0.29523279903960414084761860964352e39F, + }; + + return factorials[i]; +} + +#endif + template <> struct max_factorial<float> { static constexpr unsigned value = 34; }; +#ifndef BOOST_MATH_HAS_GPU_SUPPORT + template <bool b> struct unchecked_factorial_data<double, b> { #ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES - static constexpr std::array<double, 171> factorials = { { + static constexpr boost::math::array<double, 171> factorials = { { 1.0, 1.0, 2.0, @@ -326,15 +390,15 @@ struct unchecked_factorial_data<double, b> 0.7257415615307998967396728211129263114717e307, }}; #else - static const std::array<double, 171> factorials; + static const boost::math::array<double, 171> factorials; #endif }; template <bool b> #ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES - constexpr std::array<double, 171> unchecked_factorial_data<double, b>::factorials; + constexpr boost::math::array<double, 171> unchecked_factorial_data<double, b>::factorials; #else - const std::array<double, 171> unchecked_factorial_data<double, b>::factorials = {{ + const boost::math::array<double, 171> unchecked_factorial_data<double, b>::factorials = {{ 1.0, 1.0, 2.0, @@ -510,7 +574,7 @@ template <bool b> #endif template <> -inline BOOST_MATH_CONSTEXPR_TABLE_FUNCTION double unchecked_factorial<double>(unsigned i BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(double)) +BOOST_MATH_GPU_ENABLED inline BOOST_MATH_CONSTEXPR_TABLE_FUNCTION double unchecked_factorial<double>(unsigned i BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(double)) { return unchecked_factorial_data<double>::factorials[i]; } @@ -521,11 +585,67 @@ struct max_factorial<double> static constexpr unsigned value = 170; }; +#else + +template <> +BOOST_MATH_GPU_ENABLED inline BOOST_MATH_CONSTEXPR_TABLE_FUNCTION double unchecked_factorial<double>(unsigned i BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(double)) +{ + constexpr double factorials[] = { + 1, + 1, + 2, + 6, + 24, + 120, + 720, + 5040, + 40320, + 362880.0, + 3628800.0, + 39916800.0, + 479001600.0, + 6227020800.0, + 87178291200.0, + 1307674368000.0, + 20922789888000.0, + 355687428096000.0, + 6402373705728000.0, + 121645100408832000.0, + 0.243290200817664e19, + 0.5109094217170944e20, + 0.112400072777760768e22, + 0.2585201673888497664e23, + 0.62044840173323943936e24, + 0.15511210043330985984e26, + 0.403291461126605635584e27, + 0.10888869450418352160768e29, + 0.304888344611713860501504e30, + 0.8841761993739701954543616e31, + 0.26525285981219105863630848e33, + 0.822283865417792281772556288e34, + 0.26313083693369353016721801216e36, + 0.868331761881188649551819440128e37, + 0.29523279903960414084761860964352e39, + }; + + return factorials[i]; +} + +template <> +struct max_factorial<double> +{ + static constexpr unsigned value = 34; +}; + +#endif + +#ifndef BOOST_MATH_HAS_GPU_SUPPORT + template <bool b> struct unchecked_factorial_data<long double, b> { #ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES - static constexpr std::array<long double, 171> factorials = { { + static constexpr boost::math::array<long double, 171> factorials = { { 1L, 1L, 2L, @@ -699,15 +819,15 @@ struct unchecked_factorial_data<long double, b> 0.7257415615307998967396728211129263114717e307L, }}; #else - static const std::array<long double, 171> factorials; + static const boost::math::array<long double, 171> factorials; #endif }; template <bool b> #ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES - constexpr std::array<long double, 171> unchecked_factorial_data<long double, b>::factorials; + constexpr boost::math::array<long double, 171> unchecked_factorial_data<long double, b>::factorials; #else - const std::array<long double, 171> unchecked_factorial_data<long double, b>::factorials = {{ + const boost::math::array<long double, 171> unchecked_factorial_data<long double, b>::factorials = {{ 1L, 1L, 2L, @@ -900,7 +1020,7 @@ template <bool b> struct unchecked_factorial_data<BOOST_MATH_FLOAT128_TYPE, b> { #ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES - static constexpr std::array<BOOST_MATH_FLOAT128_TYPE, 171> factorials = { { + static constexpr boost::math::array<BOOST_MATH_FLOAT128_TYPE, 171> factorials = { { 1, 1, 2, @@ -1074,15 +1194,15 @@ struct unchecked_factorial_data<BOOST_MATH_FLOAT128_TYPE, b> 0.7257415615307998967396728211129263114717e307Q, } }; #else - static const std::array<BOOST_MATH_FLOAT128_TYPE, 171> factorials; + static const boost::math::array<BOOST_MATH_FLOAT128_TYPE, 171> factorials; #endif }; template <bool b> #ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES -constexpr std::array<BOOST_MATH_FLOAT128_TYPE, 171> unchecked_factorial_data<BOOST_MATH_FLOAT128_TYPE, b>::factorials; +constexpr boost::math::array<BOOST_MATH_FLOAT128_TYPE, 171> unchecked_factorial_data<BOOST_MATH_FLOAT128_TYPE, b>::factorials; #else -const std::array<BOOST_MATH_FLOAT128_TYPE, 171> unchecked_factorial_data<BOOST_MATH_FLOAT128_TYPE, b>::factorials = { { +const boost::math::array<BOOST_MATH_FLOAT128_TYPE, 171> unchecked_factorial_data<BOOST_MATH_FLOAT128_TYPE, b>::factorials = { { 1, 1, 2, @@ -1294,7 +1414,7 @@ const typename unchecked_factorial_initializer<T>::init unchecked_factorial_init template <class T, int N> -inline T unchecked_factorial_imp(unsigned i, const std::integral_constant<int, N>&) +inline T unchecked_factorial_imp(unsigned i, const boost::math::integral_constant<int, N>&) { // // If you're foolish enough to instantiate factorial @@ -1308,10 +1428,10 @@ inline T unchecked_factorial_imp(unsigned i, const std::integral_constant<int, N // unsigned int nfac = static_cast<unsigned int>(factorial<double>(n)); // See factorial documentation for more detail. // - static_assert(!std::is_integral<T>::value && !std::numeric_limits<T>::is_integer, "Type T must not be an integral type"); + static_assert(!boost::math::is_integral<T>::value && !boost::math::numeric_limits<T>::is_integer, "Type T must not be an integral type"); // We rely on C++11 thread safe initialization here: - static const std::array<T, 101> factorials = {{ + static const boost::math::array<T, 101> factorials = {{ T(boost::math::tools::convert_from_string<T>("1")), T(boost::math::tools::convert_from_string<T>("1")), T(boost::math::tools::convert_from_string<T>("2")), @@ -1419,7 +1539,7 @@ inline T unchecked_factorial_imp(unsigned i, const std::integral_constant<int, N } template <class T> -inline T unchecked_factorial_imp(unsigned i, const std::integral_constant<int, 0>&) +inline T unchecked_factorial_imp(unsigned i, const boost::math::integral_constant<int, 0>&) { // // If you're foolish enough to instantiate factorial @@ -1433,7 +1553,7 @@ inline T unchecked_factorial_imp(unsigned i, const std::integral_constant<int, 0 // unsigned int nfac = static_cast<unsigned int>(factorial<double>(n)); // See factorial documentation for more detail. // - static_assert(!std::is_integral<T>::value && !std::numeric_limits<T>::is_integer, "Type T must not be an integral type"); + static_assert(!boost::math::is_integral<T>::value && !boost::math::numeric_limits<T>::is_integer, "Type T must not be an integral type"); static const char* const factorial_strings[] = { "1", @@ -1556,42 +1676,48 @@ inline T unchecked_factorial_imp(unsigned i, const std::integral_constant<int, 0 return factorials[i]; } +#endif // BOOST_MATH_HAS_GPU_SUPPORT + template <class T> -inline T unchecked_factorial_imp(unsigned i, const std::integral_constant<int, std::numeric_limits<float>::digits>&) +BOOST_MATH_GPU_ENABLED inline T unchecked_factorial_imp(unsigned i, const boost::math::integral_constant<int, boost::math::numeric_limits<float>::digits>&) { return unchecked_factorial<float>(i); } template <class T> -inline T unchecked_factorial_imp(unsigned i, const std::integral_constant<int, std::numeric_limits<double>::digits>&) +BOOST_MATH_GPU_ENABLED inline T unchecked_factorial_imp(unsigned i, const boost::math::integral_constant<int, boost::math::numeric_limits<double>::digits>&) { return unchecked_factorial<double>(i); } +#ifndef BOOST_MATH_HAS_GPU_SUPPORT + #if DBL_MANT_DIG != LDBL_MANT_DIG template <class T> -inline T unchecked_factorial_imp(unsigned i, const std::integral_constant<int, LDBL_MANT_DIG>&) +inline T unchecked_factorial_imp(unsigned i, const boost::math::integral_constant<int, LDBL_MANT_DIG>&) { return unchecked_factorial<long double>(i); } #endif #ifdef BOOST_MATH_USE_FLOAT128 template <class T> -inline T unchecked_factorial_imp(unsigned i, const std::integral_constant<int, 113>&) +inline T unchecked_factorial_imp(unsigned i, const boost::math::integral_constant<int, 113>&) { return unchecked_factorial<BOOST_MATH_FLOAT128_TYPE>(i); } #endif +#endif // BOOST_MATH_HAS_GPU_SUPPORT + template <class T> -inline T unchecked_factorial(unsigned i) +BOOST_MATH_GPU_ENABLED inline T unchecked_factorial(unsigned i) { typedef typename boost::math::policies::precision<T, boost::math::policies::policy<> >::type tag_type; return unchecked_factorial_imp<T>(i, tag_type()); } #ifdef BOOST_MATH_USE_FLOAT128 -#define BOOST_MATH_DETAIL_FLOAT128_MAX_FACTORIAL : std::numeric_limits<T>::digits == 113 ? max_factorial<BOOST_MATH_FLOAT128_TYPE>::value +#define BOOST_MATH_DETAIL_FLOAT128_MAX_FACTORIAL : boost::math::numeric_limits<T>::digits == 113 ? max_factorial<BOOST_MATH_FLOAT128_TYPE>::value #else #define BOOST_MATH_DETAIL_FLOAT128_MAX_FACTORIAL #endif @@ -1600,10 +1726,12 @@ template <class T> struct max_factorial { static constexpr unsigned value = - std::numeric_limits<T>::digits == std::numeric_limits<float>::digits ? max_factorial<float>::value - : std::numeric_limits<T>::digits == std::numeric_limits<double>::digits ? max_factorial<double>::value - : std::numeric_limits<T>::digits == std::numeric_limits<long double>::digits ? max_factorial<long double>::value + boost::math::numeric_limits<T>::digits == boost::math::numeric_limits<float>::digits ? max_factorial<float>::value + : boost::math::numeric_limits<T>::digits == boost::math::numeric_limits<double>::digits ? max_factorial<double>::value + #ifndef BOOST_MATH_GPU_ENABLED + : boost::math::numeric_limits<T>::digits == boost::math::numeric_limits<long double>::digits ? max_factorial<long double>::value BOOST_MATH_DETAIL_FLOAT128_MAX_FACTORIAL + #endif : 100; }; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/digamma.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/digamma.hpp index 3922de7d25..382ad0d6b9 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/digamma.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/digamma.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -12,13 +13,21 @@ #pragma warning(disable:4702) // Unreachable code (release mode only warning) #endif -#include <boost/math/special_functions/math_fwd.hpp> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> #include <boost/math/tools/rational.hpp> -#include <boost/math/tools/series.hpp> #include <boost/math/tools/promotion.hpp> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> +#include <boost/math/constants/constants.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/special_functions/math_fwd.hpp> +#include <boost/math/tools/series.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/tools/big_constant.hpp> +#endif #if defined(__GNUC__) && defined(BOOST_MATH_USE_FLOAT128) // @@ -37,11 +46,11 @@ namespace detail{ // Begin by defining the smallest value for which it is safe to // use the asymptotic expansion for digamma: // -inline unsigned digamma_large_lim(const std::integral_constant<int, 0>*) +BOOST_MATH_GPU_ENABLED inline unsigned digamma_large_lim(const boost::math::integral_constant<int, 0>*) { return 20; } -inline unsigned digamma_large_lim(const std::integral_constant<int, 113>*) +BOOST_MATH_GPU_ENABLED inline unsigned digamma_large_lim(const boost::math::integral_constant<int, 113>*) { return 20; } -inline unsigned digamma_large_lim(const void*) +BOOST_MATH_GPU_ENABLED inline unsigned digamma_large_lim(const void*) { return 10; } // // Implementations of the asymptotic expansion come next, @@ -53,8 +62,10 @@ inline unsigned digamma_large_lim(const void*) // // This first one gives 34-digit precision for x >= 20: // + +#ifndef BOOST_MATH_HAS_NVRTC template <class T> -inline T digamma_imp_large(T x, const std::integral_constant<int, 113>*) +inline T digamma_imp_large(T x, const boost::math::integral_constant<int, 113>*) { BOOST_MATH_STD_USING // ADL of std functions. static const T P[] = { @@ -87,7 +98,7 @@ inline T digamma_imp_large(T x, const std::integral_constant<int, 113>*) // 19-digit precision for x >= 10: // template <class T> -inline T digamma_imp_large(T x, const std::integral_constant<int, 64>*) +inline T digamma_imp_large(T x, const boost::math::integral_constant<int, 64>*) { BOOST_MATH_STD_USING // ADL of std functions. static const T P[] = { @@ -110,14 +121,15 @@ inline T digamma_imp_large(T x, const std::integral_constant<int, 64>*) result -= z * tools::evaluate_polynomial(P, z); return result; } +#endif // // 17-digit precision for x >= 10: // template <class T> -inline T digamma_imp_large(T x, const std::integral_constant<int, 53>*) +BOOST_MATH_GPU_ENABLED inline T digamma_imp_large(T x, const boost::math::integral_constant<int, 53>*) { BOOST_MATH_STD_USING // ADL of std functions. - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { 0.083333333333333333333333333333333333333333333333333, -0.0083333333333333333333333333333333333333333333333333, 0.003968253968253968253968253968253968253968253968254, @@ -138,10 +150,10 @@ inline T digamma_imp_large(T x, const std::integral_constant<int, 53>*) // 9-digit precision for x >= 10: // template <class T> -inline T digamma_imp_large(T x, const std::integral_constant<int, 24>*) +BOOST_MATH_GPU_ENABLED inline T digamma_imp_large(T x, const boost::math::integral_constant<int, 24>*) { BOOST_MATH_STD_USING // ADL of std functions. - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { 0.083333333333333333333333333333333333333333333333333f, -0.0083333333333333333333333333333333333333333333333333f, 0.003968253968253968253968253968253968253968253968254f @@ -153,6 +165,8 @@ inline T digamma_imp_large(T x, const std::integral_constant<int, 24>*) result -= z * tools::evaluate_polynomial(P, z); return result; } + +#ifndef BOOST_MATH_HAS_NVRTC // // Fully generic asymptotic expansion in terms of Bernoulli numbers, see: // http://functions.wolfram.com/06.14.06.0012.01 @@ -177,7 +191,7 @@ public: }; template <class T, class Policy> -inline T digamma_imp_large(T x, const Policy& pol, const std::integral_constant<int, 0>*) +inline T digamma_imp_large(T x, const Policy& pol, const boost::math::integral_constant<int, 0>*) { BOOST_MATH_STD_USING digamma_series_func<T> s(x); @@ -194,7 +208,7 @@ inline T digamma_imp_large(T x, const Policy& pol, const std::integral_constant< // 35-digit precision: // template <class T> -T digamma_imp_1_2(T x, const std::integral_constant<int, 113>*) +T digamma_imp_1_2(T x, const boost::math::integral_constant<int, 113>*) { // // Now the approximation, we use the form: @@ -258,7 +272,7 @@ T digamma_imp_1_2(T x, const std::integral_constant<int, 113>*) // 19-digit precision: // template <class T> -T digamma_imp_1_2(T x, const std::integral_constant<int, 64>*) +T digamma_imp_1_2(T x, const boost::math::integral_constant<int, 64>*) { // // Now the approximation, we use the form: @@ -306,11 +320,13 @@ T digamma_imp_1_2(T x, const std::integral_constant<int, 64>*) return result; } + +#endif // // 18-digit precision: // template <class T> -T digamma_imp_1_2(T x, const std::integral_constant<int, 53>*) +BOOST_MATH_GPU_ENABLED T digamma_imp_1_2(T x, const boost::math::integral_constant<int, 53>*) { // // Now the approximation, we use the form: @@ -325,13 +341,13 @@ T digamma_imp_1_2(T x, const std::integral_constant<int, 53>*) // At double precision, max error found: 2.452e-17 // // LCOV_EXCL_START - static const float Y = 0.99558162689208984F; + BOOST_MATH_STATIC const float Y = 0.99558162689208984F; - static const T root1 = T(1569415565) / 1073741824uL; - static const T root2 = (T(381566830) / 1073741824uL) / 1073741824uL; - static const T root3 = BOOST_MATH_BIG_CONSTANT(T, 53, 0.9016312093258695918615325266959189453125e-19); + BOOST_MATH_STATIC const T root1 = T(1569415565) / 1073741824uL; + BOOST_MATH_STATIC const T root2 = (T(381566830) / 1073741824uL) / 1073741824uL; + BOOST_MATH_STATIC const T root3 = BOOST_MATH_BIG_CONSTANT(T, 53, 0.9016312093258695918615325266959189453125e-19); - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 53, 0.25479851061131551), BOOST_MATH_BIG_CONSTANT(T, 53, -0.32555031186804491), BOOST_MATH_BIG_CONSTANT(T, 53, -0.65031853770896507), @@ -339,7 +355,7 @@ T digamma_imp_1_2(T x, const std::integral_constant<int, 53>*) BOOST_MATH_BIG_CONSTANT(T, 53, -0.045251321448739056), BOOST_MATH_BIG_CONSTANT(T, 53, -0.0020713321167745952) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, 2.0767117023730469), BOOST_MATH_BIG_CONSTANT(T, 53, 1.4606242909763515), @@ -361,7 +377,7 @@ T digamma_imp_1_2(T x, const std::integral_constant<int, 53>*) // 9-digit precision: // template <class T> -inline T digamma_imp_1_2(T x, const std::integral_constant<int, 24>*) +BOOST_MATH_GPU_ENABLED inline T digamma_imp_1_2(T x, const boost::math::integral_constant<int, 24>*) { // // Now the approximation, we use the form: @@ -376,16 +392,16 @@ inline T digamma_imp_1_2(T x, const std::integral_constant<int, 24>*) // At float precision, max error found: 2.008725e-008 // // LCOV_EXCL_START - static const float Y = 0.99558162689208984f; - static const T root = 1532632.0f / 1048576; - static const T root_minor = static_cast<T>(0.3700660185912626595423257213284682051735604e-6L); - static const T P[] = { + BOOST_MATH_STATIC const float Y = 0.99558162689208984f; + BOOST_MATH_STATIC const T root = 1532632.0f / 1048576; + BOOST_MATH_STATIC const T root_minor = static_cast<T>(0.3700660185912626595423257213284682051735604e-6L); + BOOST_MATH_STATIC const T P[] = { 0.25479851023250261e0f, -0.44981331915268368e0f, -0.43916936919946835e0f, -0.61041765350579073e-1f }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { 0.1e1f, 0.15890202430554952e1f, 0.65341249856146947e0f, @@ -401,7 +417,7 @@ inline T digamma_imp_1_2(T x, const std::integral_constant<int, 24>*) } template <class T, class Tag, class Policy> -T digamma_imp(T x, const Tag* t, const Policy& pol) +BOOST_MATH_GPU_ENABLED T digamma_imp(T x, const Tag* t, const Policy& pol) { // // This handles reflection of negative arguments, and all our @@ -439,11 +455,13 @@ T digamma_imp(T x, const Tag* t, const Policy& pol) // If we're above the lower-limit for the // asymptotic expansion then use it: // + #ifndef BOOST_MATH_HAS_NVRTC if(x >= digamma_large_lim(t)) { result += digamma_imp_large(x, t); } else + #endif { // // If x > 2 reduce to the interval [1,2]: @@ -466,8 +484,10 @@ T digamma_imp(T x, const Tag* t, const Policy& pol) return result; } +#ifndef BOOST_MATH_HAS_NVRTC + template <class T, class Policy> -T digamma_imp(T x, const std::integral_constant<int, 0>* t, const Policy& pol) +T digamma_imp(T x, const boost::math::integral_constant<int, 0>* t, const Policy& pol) { // // This handles reflection of negative arguments, and all our @@ -564,16 +584,18 @@ T digamma_imp(T x, const std::integral_constant<int, 0>* t, const Policy& pol) // LCOV_EXCL_STOP } +#endif + } // namespace detail template <class T, class Policy> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type digamma(T x, const Policy&) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; typedef typename policies::precision<T, Policy>::type precision_type; - typedef std::integral_constant<int, + typedef boost::math::integral_constant<int, (precision_type::value <= 0) || (precision_type::value > 113) ? 0 : precision_type::value <= 24 ? 24 : precision_type::value <= 53 ? 53 : @@ -592,7 +614,7 @@ inline typename tools::promote_args<T>::type } template <class T> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type digamma(T x) { return digamma(x, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_1.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_1.hpp index dfc1815f7f..96c7c9e9b9 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_1.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_1.hpp @@ -1,5 +1,6 @@ // Copyright (c) 2006 Xiaogang Zhang // Copyright (c) 2006 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -18,6 +19,8 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/ellint_rf.hpp> #include <boost/math/constants/constants.hpp> @@ -31,28 +34,28 @@ namespace boost { namespace math { template <class T1, class T2, class Policy> -typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi, const Policy& pol); +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi, const Policy& pol); namespace detail{ template <typename T, typename Policy> -T ellint_k_imp(T k, const Policy& pol, std::integral_constant<int, 0> const&); +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T ellint_k_imp(T k, const Policy& pol, boost::math::integral_constant<int, 0> const&); template <typename T, typename Policy> -T ellint_k_imp(T k, const Policy& pol, std::integral_constant<int, 1> const&); +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T ellint_k_imp(T k, const Policy& pol, boost::math::integral_constant<int, 1> const&); template <typename T, typename Policy> -T ellint_k_imp(T k, const Policy& pol, std::integral_constant<int, 2> const&); +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T ellint_k_imp(T k, const Policy& pol, boost::math::integral_constant<int, 2> const&); template <typename T, typename Policy> -T ellint_k_imp(T k, const Policy& pol, T one_minus_k2); +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T ellint_k_imp(T k, const Policy& pol, T one_minus_k2); // Elliptic integral (Legendre form) of the first kind template <typename T, typename Policy> -T ellint_f_imp(T phi, T k, const Policy& pol, T one_minus_k2) +BOOST_MATH_GPU_ENABLED T ellint_f_imp(T phi, T k, const Policy& pol, T one_minus_k2) { BOOST_MATH_STD_USING using namespace boost::math::tools; using namespace boost::math::constants; - static const char* function = "boost::math::ellint_f<%1%>(%1%,%1%)"; + constexpr auto function = "boost::math::ellint_f<%1%>(%1%,%1%)"; BOOST_MATH_INSTRUMENT_VARIABLE(phi); BOOST_MATH_INSTRUMENT_VARIABLE(k); BOOST_MATH_INSTRUMENT_VARIABLE(function); @@ -149,19 +152,19 @@ T ellint_f_imp(T phi, T k, const Policy& pol, T one_minus_k2) } template <typename T, typename Policy> -inline T ellint_f_imp(T phi, T k, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T ellint_f_imp(T phi, T k, const Policy& pol) { return ellint_f_imp(phi, k, pol, T(1 - k * k)); } // Complete elliptic integral (Legendre form) of the first kind template <typename T, typename Policy> -T ellint_k_imp(T k, const Policy& pol, T one_minus_k2) +BOOST_MATH_GPU_ENABLED T ellint_k_imp(T k, const Policy& pol, T one_minus_k2) { BOOST_MATH_STD_USING using namespace boost::math::tools; - static const char* function = "boost::math::ellint_k<%1%>(%1%)"; + constexpr auto function = "boost::math::ellint_k<%1%>(%1%)"; if (abs(k) > 1) { @@ -179,7 +182,7 @@ T ellint_k_imp(T k, const Policy& pol, T one_minus_k2) return value; } template <typename T, typename Policy> -inline T ellint_k_imp(T k, const Policy& pol, std::integral_constant<int, 2> const&) +BOOST_MATH_GPU_ENABLED inline T ellint_k_imp(T k, const Policy& pol, boost::math::integral_constant<int, 2> const&) { return ellint_k_imp(k, pol, T(1 - k * k)); } @@ -201,9 +204,9 @@ inline T ellint_k_imp(T k, const Policy& pol, std::integral_constant<int, 2> con // archived in the code below), but was found to have slightly higher error rates. // template <typename T, typename Policy> -BOOST_MATH_FORCEINLINE T ellint_k_imp(T k, const Policy& pol, std::integral_constant<int, 0> const&) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T ellint_k_imp(T k, const Policy& pol, boost::math::integral_constant<int, 0> const&) { - using std::abs; + BOOST_MATH_STD_USING using namespace boost::math::tools; T m = k * k; @@ -454,7 +457,7 @@ BOOST_MATH_FORCEINLINE T ellint_k_imp(T k, const Policy& pol, std::integral_cons // This handles all cases where m > 0.9, // including all error handling: // - return ellint_k_imp(k, pol, std::integral_constant<int, 2>()); + return ellint_k_imp(k, pol, boost::math::integral_constant<int, 2>()); #if 0 else { @@ -474,9 +477,9 @@ BOOST_MATH_FORCEINLINE T ellint_k_imp(T k, const Policy& pol, std::integral_cons } } template <typename T, typename Policy> -BOOST_MATH_FORCEINLINE T ellint_k_imp(T k, const Policy& pol, std::integral_constant<int, 1> const&) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T ellint_k_imp(T k, const Policy& pol, boost::math::integral_constant<int, 1> const&) { - using std::abs; + BOOST_MATH_STD_USING using namespace boost::math::tools; T m = k * k; @@ -755,44 +758,37 @@ BOOST_MATH_FORCEINLINE T ellint_k_imp(T k, const Policy& pol, std::integral_cons // All cases where m > 0.9 // including all error handling: // - return ellint_k_imp(k, pol, std::integral_constant<int, 2>()); + return ellint_k_imp(k, pol, boost::math::integral_constant<int, 2>()); } } template <typename T, typename Policy> -BOOST_MATH_FORCEINLINE typename tools::promote_args<T>::type ellint_1(T k, const Policy& pol, const std::true_type&) +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T>::type ellint_1(T k, const Policy& pol, const boost::math::true_type&) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; - typedef std::integral_constant<int, + typedef boost::math::integral_constant<int, #if defined(__clang_major__) && (__clang_major__ == 7) 2 #else - std::is_floating_point<T>::value && std::numeric_limits<T>::digits && (std::numeric_limits<T>::digits <= 54) ? 0 : - std::is_floating_point<T>::value && std::numeric_limits<T>::digits && (std::numeric_limits<T>::digits <= 64) ? 1 : 2 + boost::math::is_floating_point<T>::value && boost::math::numeric_limits<T>::digits && (boost::math::numeric_limits<T>::digits <= 54) ? 0 : + boost::math::is_floating_point<T>::value && boost::math::numeric_limits<T>::digits && (boost::math::numeric_limits<T>::digits <= 64) ? 1 : 2 #endif > precision_tag_type; return policies::checked_narrowing_cast<result_type, Policy>(detail::ellint_k_imp(static_cast<value_type>(k), pol, precision_tag_type()), "boost::math::ellint_1<%1%>(%1%)"); } template <class T1, class T2> -BOOST_MATH_FORCEINLINE typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi, const std::false_type&) +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi, const boost::math::false_type&) { return boost::math::ellint_1(k, phi, policies::policy<>()); } -} - -// Complete elliptic integral (Legendre form) of the first kind -template <typename T> -BOOST_MATH_FORCEINLINE typename tools::promote_args<T>::type ellint_1(T k) -{ - return ellint_1(k, policies::policy<>()); -} +} // namespace detail // Elliptic integral (Legendre form) of the first kind template <class T1, class T2, class Policy> -BOOST_MATH_FORCEINLINE typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi, const Policy& pol) // LCOV_EXCL_LINE gcc misses this but sees the function body, strange! +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi, const Policy& pol) // LCOV_EXCL_LINE gcc misses this but sees the function body, strange! { typedef typename tools::promote_args<T1, T2>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -800,12 +796,19 @@ BOOST_MATH_FORCEINLINE typename tools::promote_args<T1, T2>::type ellint_1(T1 k, } template <class T1, class T2> -BOOST_MATH_FORCEINLINE typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi) +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi) { typedef typename policies::is_policy<T2>::type tag_type; return detail::ellint_1(k, phi, tag_type()); } +// Complete elliptic integral (Legendre form) of the first kind +template <typename T> +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T>::type ellint_1(T k) +{ + return ellint_1(k, policies::policy<>()); +} + }} // namespaces #endif // BOOST_MATH_ELLINT_1_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_2.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_2.hpp index b09cdd490e..0cc1fa0944 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_2.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_2.hpp @@ -1,5 +1,6 @@ // Copyright (c) 2006 Xiaogang Zhang // Copyright (c) 2006 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -18,6 +19,9 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/type_traits.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/ellint_rf.hpp> #include <boost/math/special_functions/ellint_rd.hpp> @@ -33,20 +37,20 @@ namespace boost { namespace math { template <class T1, class T2, class Policy> -typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi, const Policy& pol); +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi, const Policy& pol); namespace detail{ template <typename T, typename Policy> -T ellint_e_imp(T k, const Policy& pol, const std::integral_constant<int, 0>&); +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T ellint_e_imp(T k, const Policy& pol, const boost::math::integral_constant<int, 0>&); template <typename T, typename Policy> -T ellint_e_imp(T k, const Policy& pol, const std::integral_constant<int, 1>&); +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T ellint_e_imp(T k, const Policy& pol, const boost::math::integral_constant<int, 1>&); template <typename T, typename Policy> -T ellint_e_imp(T k, const Policy& pol, const std::integral_constant<int, 2>&); +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T ellint_e_imp(T k, const Policy& pol, const boost::math::integral_constant<int, 2>&); // Elliptic integral (Legendre form) of the second kind template <typename T, typename Policy> -T ellint_e_imp(T phi, T k, const Policy& pol) +BOOST_MATH_GPU_ENABLED T ellint_e_imp(T phi, T k, const Policy& pol) { BOOST_MATH_STD_USING using namespace boost::math::tools; @@ -71,9 +75,9 @@ T ellint_e_imp(T phi, T k, const Policy& pol) } else if(phi > 1 / tools::epsilon<T>()) { - typedef std::integral_constant<int, - std::is_floating_point<T>::value&& std::numeric_limits<T>::digits && (std::numeric_limits<T>::digits <= 54) ? 0 : - std::is_floating_point<T>::value && std::numeric_limits<T>::digits && (std::numeric_limits<T>::digits <= 64) ? 1 : 2 + typedef boost::math::integral_constant<int, + boost::math::is_floating_point<T>::value&& boost::math::numeric_limits<T>::digits && (boost::math::numeric_limits<T>::digits <= 54) ? 0 : + boost::math::is_floating_point<T>::value && boost::math::numeric_limits<T>::digits && (boost::math::numeric_limits<T>::digits <= 64) ? 1 : 2 > precision_tag_type; // Phi is so large that phi%pi is necessarily zero (or garbage), // just return the second part of the duplication formula: @@ -138,9 +142,9 @@ T ellint_e_imp(T phi, T k, const Policy& pol) } if (m != 0) { - typedef std::integral_constant<int, - std::is_floating_point<T>::value&& std::numeric_limits<T>::digits && (std::numeric_limits<T>::digits <= 54) ? 0 : - std::is_floating_point<T>::value && std::numeric_limits<T>::digits && (std::numeric_limits<T>::digits <= 64) ? 1 : 2 + typedef boost::math::integral_constant<int, + boost::math::is_floating_point<T>::value&& boost::math::numeric_limits<T>::digits && (boost::math::numeric_limits<T>::digits <= 54) ? 0 : + boost::math::is_floating_point<T>::value && boost::math::numeric_limits<T>::digits && (boost::math::numeric_limits<T>::digits <= 64) ? 1 : 2 > precision_tag_type; result += m * ellint_e_imp(k, pol, precision_tag_type()); } @@ -150,7 +154,7 @@ T ellint_e_imp(T phi, T k, const Policy& pol) // Complete elliptic integral (Legendre form) of the second kind template <typename T, typename Policy> -T ellint_e_imp(T k, const Policy& pol, std::integral_constant<int, 2> const&) +BOOST_MATH_GPU_ENABLED T ellint_e_imp(T k, const Policy& pol, boost::math::integral_constant<int, 2> const&) { BOOST_MATH_STD_USING using namespace boost::math::tools; @@ -188,9 +192,9 @@ T ellint_e_imp(T k, const Policy& pol, std::integral_constant<int, 2> const&) // existing routines. // template <typename T, typename Policy> -BOOST_MATH_FORCEINLINE T ellint_e_imp(T k, const Policy& pol, std::integral_constant<int, 0> const&) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T ellint_e_imp(T k, const Policy& pol, boost::math::integral_constant<int, 0> const&) { - using std::abs; + BOOST_MATH_STD_USING using namespace boost::math::tools; T m = k * k; @@ -423,13 +427,13 @@ BOOST_MATH_FORCEINLINE T ellint_e_imp(T k, const Policy& pol, std::integral_cons // All cases where m > 0.9 // including all error handling: // - return ellint_e_imp(k, pol, std::integral_constant<int, 2>()); + return ellint_e_imp(k, pol, boost::math::integral_constant<int, 2>()); } } template <typename T, typename Policy> -BOOST_MATH_FORCEINLINE T ellint_e_imp(T k, const Policy& pol, std::integral_constant<int, 1> const&) +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T ellint_e_imp(T k, const Policy& pol, boost::math::integral_constant<int, 1> const&) { - using std::abs; + BOOST_MATH_STD_USING using namespace boost::math::tools; T m = k * k; @@ -696,54 +700,56 @@ BOOST_MATH_FORCEINLINE T ellint_e_imp(T k, const Policy& pol, std::integral_cons // All cases where m > 0.9 // including all error handling: // - return ellint_e_imp(k, pol, std::integral_constant<int, 2>()); + return ellint_e_imp(k, pol, boost::math::integral_constant<int, 2>()); } } template <typename T, typename Policy> -BOOST_MATH_FORCEINLINE typename tools::promote_args<T>::type ellint_2(T k, const Policy& pol, const std::true_type&) +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T>::type ellint_2(T k, const Policy& pol, const boost::math::true_type&) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; - typedef std::integral_constant<int, - std::is_floating_point<T>::value&& std::numeric_limits<T>::digits && (std::numeric_limits<T>::digits <= 54) ? 0 : - std::is_floating_point<T>::value && std::numeric_limits<T>::digits && (std::numeric_limits<T>::digits <= 64) ? 1 : 2 + typedef boost::math::integral_constant<int, + boost::math::is_floating_point<T>::value&& boost::math::numeric_limits<T>::digits && (boost::math::numeric_limits<T>::digits <= 54) ? 0 : + boost::math::is_floating_point<T>::value && boost::math::numeric_limits<T>::digits && (boost::math::numeric_limits<T>::digits <= 64) ? 1 : 2 > precision_tag_type; return policies::checked_narrowing_cast<result_type, Policy>(detail::ellint_e_imp(static_cast<value_type>(k), pol, precision_tag_type()), "boost::math::ellint_2<%1%>(%1%)"); } // Elliptic integral (Legendre form) of the second kind template <class T1, class T2> -BOOST_MATH_FORCEINLINE typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi, const std::false_type&) +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi, const boost::math::false_type&) { return boost::math::ellint_2(k, phi, policies::policy<>()); } } // detail -// Complete elliptic integral (Legendre form) of the second kind -template <typename T> -BOOST_MATH_FORCEINLINE typename tools::promote_args<T>::type ellint_2(T k) -{ - return ellint_2(k, policies::policy<>()); -} - // Elliptic integral (Legendre form) of the second kind template <class T1, class T2> -BOOST_MATH_FORCEINLINE typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi) +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi) { typedef typename policies::is_policy<T2>::type tag_type; return detail::ellint_2(k, phi, tag_type()); } template <class T1, class T2, class Policy> -BOOST_MATH_FORCEINLINE typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi, const Policy& pol) // LCOV_EXCL_LINE gcc misses this but sees the function body, strange! +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi, const Policy& pol) // LCOV_EXCL_LINE gcc misses this but sees the function body, strange! { typedef typename tools::promote_args<T1, T2>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; return policies::checked_narrowing_cast<result_type, Policy>(detail::ellint_e_imp(static_cast<value_type>(phi), static_cast<value_type>(k), pol), "boost::math::ellint_2<%1%>(%1%,%1%)"); } + +// Complete elliptic integral (Legendre form) of the second kind +template <typename T> +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T>::type ellint_2(T k) +{ + return ellint_2(k, policies::policy<>()); +} + + }} // namespaces #endif // BOOST_MATH_ELLINT_2_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_3.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_3.hpp index 33acc545dc..b8df7e2645 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_3.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_3.hpp @@ -18,6 +18,8 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/ellint_rf.hpp> #include <boost/math/special_functions/ellint_rj.hpp> @@ -38,16 +40,16 @@ namespace boost { namespace math { namespace detail{ template <typename T, typename Policy> -T ellint_pi_imp(T v, T k, T vc, const Policy& pol); +BOOST_MATH_CUDA_ENABLED T ellint_pi_imp(T v, T k, T vc, const Policy& pol); // Elliptic integral (Legendre form) of the third kind template <typename T, typename Policy> -T ellint_pi_imp(T v, T phi, T k, T vc, const Policy& pol) +BOOST_MATH_CUDA_ENABLED T ellint_pi_imp(T v, T phi, T k, T vc, const Policy& pol) { // Note vc = 1-v presumably without cancellation error. BOOST_MATH_STD_USING - static const char* function = "boost::math::ellint_3<%1%>(%1%,%1%,%1%)"; + constexpr auto function = "boost::math::ellint_3<%1%>(%1%,%1%,%1%)"; T sphi = sin(fabs(phi)); @@ -270,13 +272,13 @@ T ellint_pi_imp(T v, T phi, T k, T vc, const Policy& pol) // Complete elliptic integral (Legendre form) of the third kind template <typename T, typename Policy> -T ellint_pi_imp(T v, T k, T vc, const Policy& pol) +BOOST_MATH_CUDA_ENABLED T ellint_pi_imp(T v, T k, T vc, const Policy& pol) { // Note arg vc = 1-v, possibly without cancellation errors BOOST_MATH_STD_USING using namespace boost::math::tools; - static const char* function = "boost::math::ellint_pi<%1%>(%1%,%1%)"; + constexpr auto function = "boost::math::ellint_pi<%1%>(%1%,%1%)"; if (abs(k) >= 1) { @@ -318,13 +320,13 @@ T ellint_pi_imp(T v, T k, T vc, const Policy& pol) } template <class T1, class T2, class T3> -inline typename tools::promote_args<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi, const std::false_type&) +BOOST_MATH_CUDA_ENABLED inline typename tools::promote_args<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi, const boost::math::false_type&) { return boost::math::ellint_3(k, v, phi, policies::policy<>()); } template <class T1, class T2, class Policy> -inline typename tools::promote_args<T1, T2>::type ellint_3(T1 k, T2 v, const Policy& pol, const std::true_type&) +BOOST_MATH_CUDA_ENABLED inline typename tools::promote_args<T1, T2>::type ellint_3(T1 k, T2 v, const Policy& pol, const boost::math::true_type&) { typedef typename tools::promote_args<T1, T2>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -339,7 +341,7 @@ inline typename tools::promote_args<T1, T2>::type ellint_3(T1 k, T2 v, const Pol } // namespace detail template <class T1, class T2, class T3, class Policy> -inline typename tools::promote_args<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi, const Policy&) +BOOST_MATH_CUDA_ENABLED inline typename tools::promote_args<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi, const Policy&) { typedef typename tools::promote_args<T1, T2, T3>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -354,14 +356,14 @@ inline typename tools::promote_args<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 ph } template <class T1, class T2, class T3> -typename detail::ellint_3_result<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi) +BOOST_MATH_CUDA_ENABLED typename detail::ellint_3_result<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi) { typedef typename policies::is_policy<T3>::type tag_type; return detail::ellint_3(k, v, phi, tag_type()); } template <class T1, class T2> -inline typename tools::promote_args<T1, T2>::type ellint_3(T1 k, T2 v) +BOOST_MATH_CUDA_ENABLED inline typename tools::promote_args<T1, T2>::type ellint_3(T1 k, T2 v) { return ellint_3(k, v, policies::policy<>()); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_d.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_d.hpp index da1e87ba3e..f5a8491f5a 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_d.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_d.hpp @@ -1,5 +1,6 @@ // Copyright (c) 2006 Xiaogang Zhang // Copyright (c) 2006 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -18,6 +19,8 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/ellint_rf.hpp> #include <boost/math/special_functions/ellint_rd.hpp> @@ -33,16 +36,16 @@ namespace boost { namespace math { template <class T1, class T2, class Policy> -typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi, const Policy& pol); +BOOST_MATH_GPU_ENABLED typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi, const Policy& pol); namespace detail{ template <typename T, typename Policy> -T ellint_d_imp(T k, const Policy& pol); +BOOST_MATH_GPU_ENABLED T ellint_d_imp(T k, const Policy& pol); // Elliptic integral (Legendre form) of the second kind template <typename T, typename Policy> -T ellint_d_imp(T phi, T k, const Policy& pol) +BOOST_MATH_GPU_ENABLED T ellint_d_imp(T phi, T k, const Policy& pol) { BOOST_MATH_STD_USING using namespace boost::math::tools; @@ -113,7 +116,7 @@ T ellint_d_imp(T phi, T k, const Policy& pol) // Complete elliptic integral (Legendre form) of the second kind template <typename T, typename Policy> -T ellint_d_imp(T k, const Policy& pol) +BOOST_MATH_GPU_ENABLED T ellint_d_imp(T k, const Policy& pol) { BOOST_MATH_STD_USING using namespace boost::math::tools; @@ -135,7 +138,7 @@ T ellint_d_imp(T k, const Policy& pol) } template <typename T, typename Policy> -inline typename tools::promote_args<T>::type ellint_d(T k, const Policy& pol, const std::true_type&) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type ellint_d(T k, const Policy& pol, const boost::math::true_type&) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -144,7 +147,7 @@ inline typename tools::promote_args<T>::type ellint_d(T k, const Policy& pol, co // Elliptic integral (Legendre form) of the second kind template <class T1, class T2> -inline typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi, const std::false_type&) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi, const boost::math::false_type&) { return boost::math::ellint_d(k, phi, policies::policy<>()); } @@ -153,21 +156,21 @@ inline typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi, const s // Complete elliptic integral (Legendre form) of the second kind template <typename T> -inline typename tools::promote_args<T>::type ellint_d(T k) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type ellint_d(T k) { return ellint_d(k, policies::policy<>()); } // Elliptic integral (Legendre form) of the second kind template <class T1, class T2> -inline typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi) { typedef typename policies::is_policy<T2>::type tag_type; return detail::ellint_d(k, phi, tag_type()); } template <class T1, class T2, class Policy> -inline typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi, const Policy& pol) { typedef typename tools::promote_args<T1, T2>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rc.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rc.hpp index 2f9a1f8cfb..ae3c6375e5 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rc.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rc.hpp @@ -1,4 +1,5 @@ // Copyright (c) 2006 Xiaogang Zhang, 2015 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -18,12 +19,11 @@ #pragma once #endif -#include <boost/math/policies/error_handling.hpp> #include <boost/math/tools/config.hpp> +#include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/log1p.hpp> #include <boost/math/constants/constants.hpp> -#include <iostream> // Carlson's degenerate elliptic integral // R_C(x, y) = R_F(x, y, y) = 0.5 * \int_{0}^{\infty} (t+x)^{-1/2} (t+y)^{-1} dt @@ -32,11 +32,11 @@ namespace boost { namespace math { namespace detail{ template <typename T, typename Policy> -T ellint_rc_imp(T x, T y, const Policy& pol) +BOOST_MATH_GPU_ENABLED T ellint_rc_imp(T x, T y, const Policy& pol) { BOOST_MATH_STD_USING - static const char* function = "boost::math::ellint_rc<%1%>(%1%,%1%)"; + constexpr auto function = "boost::math::ellint_rc<%1%>(%1%,%1%)"; if(x < 0) { @@ -88,7 +88,7 @@ T ellint_rc_imp(T x, T y, const Policy& pol) } // namespace detail template <class T1, class T2, class Policy> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type ellint_rc(T1 x, T2 y, const Policy& pol) { typedef typename tools::promote_args<T1, T2>::type result_type; @@ -100,7 +100,7 @@ inline typename tools::promote_args<T1, T2>::type } template <class T1, class T2> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type ellint_rc(T1 x, T2 y) { return ellint_rc(x, y, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rd.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rd.hpp index 2a79e54ca2..f2a33adc46 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rd.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rd.hpp @@ -1,4 +1,5 @@ // Copyright (c) 2006 Xiaogang Zhang, 2015 John Maddock. +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -16,10 +17,10 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/promotion.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/ellint_rc.hpp> -#include <boost/math/special_functions/pow.hpp> -#include <boost/math/tools/config.hpp> #include <boost/math/policies/error_handling.hpp> // Carlson's elliptic integral of the second kind @@ -29,12 +30,11 @@ namespace boost { namespace math { namespace detail{ template <typename T, typename Policy> -T ellint_rd_imp(T x, T y, T z, const Policy& pol) +BOOST_MATH_GPU_ENABLED T ellint_rd_imp(T x, T y, T z, const Policy& pol) { BOOST_MATH_STD_USING - using std::swap; - static const char* function = "boost::math::ellint_rd<%1%>(%1%,%1%,%1%)"; + constexpr auto function = "boost::math::ellint_rd<%1%>(%1%,%1%,%1%)"; if(x < 0) { @@ -55,9 +55,11 @@ T ellint_rd_imp(T x, T y, T z, const Policy& pol) // // Special cases from http://dlmf.nist.gov/19.20#iv // - using std::swap; + if(x == z) - swap(x, y); + { + BOOST_MATH_GPU_SAFE_SWAP(x, y); + } if(y == z) { if(x == y) @@ -70,19 +72,21 @@ T ellint_rd_imp(T x, T y, T z, const Policy& pol) } else { - if((std::max)(x, y) / (std::min)(x, y) > T(1.3)) + if(BOOST_MATH_GPU_SAFE_MAX(x, y) / BOOST_MATH_GPU_SAFE_MIN(x, y) > T(1.3)) return 3 * (ellint_rc_imp(x, y, pol) - sqrt(x) / y) / (2 * (y - x)); // Otherwise fall through to avoid cancellation in the above (RC(x,y) -> 1/x^0.5 as x -> y) } } if(x == y) { - if((std::max)(x, z) / (std::min)(x, z) > T(1.3)) + if(BOOST_MATH_GPU_SAFE_MAX(x, z) / BOOST_MATH_GPU_SAFE_MIN(x, z) > T(1.3)) return 3 * (ellint_rc_imp(z, x, pol) - 1 / sqrt(z)) / (z - x); // Otherwise fall through to avoid cancellation in the above (RC(x,y) -> 1/x^0.5 as x -> y) } if(y == 0) - swap(x, y); + { + BOOST_MATH_GPU_SAFE_SWAP(x, y); + } if(x == 0) { // @@ -102,7 +106,8 @@ T ellint_rd_imp(T x, T y, T z, const Policy& pol) xn = (xn + yn) / 2; yn = t; sum_pow *= 2; - sum += sum_pow * boost::math::pow<2>(xn - yn); + const auto temp = (xn - yn); + sum += sum_pow * temp * temp; } T RF = constants::pi<T>() / (xn + yn); // @@ -128,7 +133,7 @@ T ellint_rd_imp(T x, T y, T z, const Policy& pol) T An = (x + y + 3 * z) / 5; T A0 = An; // This has an extra 1.2 fudge factor which is really only needed when x, y and z are close in magnitude: - T Q = pow(tools::epsilon<T>() / 4, -T(1) / 8) * (std::max)((std::max)(An - x, An - y), An - z) * 1.2f; + T Q = pow(tools::epsilon<T>() / 4, -T(1) / 8) * BOOST_MATH_GPU_SAFE_MAX(BOOST_MATH_GPU_SAFE_MAX(An - x, An - y), An - z) * 1.2f; BOOST_MATH_INSTRUMENT_VARIABLE(Q); T lambda, rx, ry, rz; unsigned k = 0; @@ -177,7 +182,7 @@ T ellint_rd_imp(T x, T y, T z, const Policy& pol) } // namespace detail template <class T1, class T2, class T3, class Policy> -inline typename tools::promote_args<T1, T2, T3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3>::type ellint_rd(T1 x, T2 y, T3 z, const Policy& pol) { typedef typename tools::promote_args<T1, T2, T3>::type result_type; @@ -190,7 +195,7 @@ inline typename tools::promote_args<T1, T2, T3>::type } template <class T1, class T2, class T3> -inline typename tools::promote_args<T1, T2, T3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3>::type ellint_rd(T1 x, T2 y, T3 z) { return ellint_rd(x, y, z, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rf.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rf.hpp index c781ac0353..eb1c2b6e71 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rf.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rf.hpp @@ -1,4 +1,5 @@ // Copyright (c) 2006 Xiaogang Zhang, 2015 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -17,8 +18,9 @@ #pragma once #endif -#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/ellint_rc.hpp> @@ -30,21 +32,20 @@ namespace boost { namespace math { namespace detail{ template <typename T, typename Policy> - T ellint_rf_imp(T x, T y, T z, const Policy& pol) + BOOST_MATH_GPU_ENABLED T ellint_rf_imp(T x, T y, T z, const Policy& pol) { BOOST_MATH_STD_USING using namespace boost::math; - using std::swap; - static const char* function = "boost::math::ellint_rf<%1%>(%1%,%1%,%1%)"; + constexpr auto function = "boost::math::ellint_rf<%1%>(%1%,%1%,%1%)"; if(x < 0 || y < 0 || z < 0) { - return policies::raise_domain_error<T>(function, "domain error, all arguments must be non-negative, only sensible result is %1%.", std::numeric_limits<T>::quiet_NaN(), pol); + return policies::raise_domain_error<T>(function, "domain error, all arguments must be non-negative, only sensible result is %1%.", boost::math::numeric_limits<T>::quiet_NaN(), pol); } if(x + y == 0 || y + z == 0 || z + x == 0) { - return policies::raise_domain_error<T>(function, "domain error, at most one argument can be zero, only sensible result is %1%.", std::numeric_limits<T>::quiet_NaN(), pol); + return policies::raise_domain_error<T>(function, "domain error, at most one argument can be zero, only sensible result is %1%.", boost::math::numeric_limits<T>::quiet_NaN(), pol); } // // Special cases from http://dlmf.nist.gov/19.20#i @@ -80,9 +81,9 @@ namespace boost { namespace math { namespace detail{ return ellint_rc_imp(x, y, pol); } if(x == 0) - swap(x, z); + BOOST_MATH_GPU_SAFE_SWAP(x, z); else if(y == 0) - swap(y, z); + BOOST_MATH_GPU_SAFE_SWAP(y, z); if(z == 0) { // @@ -105,7 +106,7 @@ namespace boost { namespace math { namespace detail{ T zn = z; T An = (x + y + z) / 3; T A0 = An; - T Q = pow(3 * boost::math::tools::epsilon<T>(), T(-1) / 8) * (std::max)((std::max)(fabs(An - xn), fabs(An - yn)), fabs(An - zn)); + T Q = pow(3 * boost::math::tools::epsilon<T>(), T(-1) / 8) * BOOST_MATH_GPU_SAFE_MAX(BOOST_MATH_GPU_SAFE_MAX(fabs(An - xn), fabs(An - yn)), fabs(An - zn)); T fn = 1; @@ -143,7 +144,7 @@ namespace boost { namespace math { namespace detail{ } // namespace detail template <class T1, class T2, class T3, class Policy> -inline typename tools::promote_args<T1, T2, T3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3>::type ellint_rf(T1 x, T2 y, T3 z, const Policy& pol) { typedef typename tools::promote_args<T1, T2, T3>::type result_type; @@ -156,7 +157,7 @@ inline typename tools::promote_args<T1, T2, T3>::type } template <class T1, class T2, class T3> -inline typename tools::promote_args<T1, T2, T3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3>::type ellint_rf(T1 x, T2 y, T3 z) { return ellint_rf(x, y, z, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rg.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rg.hpp index 051c104bca..8a7f706ac0 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rg.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rg.hpp @@ -10,8 +10,8 @@ #pragma once #endif -#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/tools/config.hpp> +#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/ellint_rd.hpp> @@ -21,27 +21,26 @@ namespace boost { namespace math { namespace detail{ template <typename T, typename Policy> - T ellint_rg_imp(T x, T y, T z, const Policy& pol) + BOOST_MATH_GPU_ENABLED T ellint_rg_imp(T x, T y, T z, const Policy& pol) { BOOST_MATH_STD_USING - static const char* function = "boost::math::ellint_rf<%1%>(%1%,%1%,%1%)"; + constexpr auto function = "boost::math::ellint_rf<%1%>(%1%,%1%,%1%)"; if(x < 0 || y < 0 || z < 0) { - return policies::raise_domain_error<T>(function, "domain error, all arguments must be non-negative, only sensible result is %1%.", std::numeric_limits<T>::quiet_NaN(), pol); + return policies::raise_domain_error<T>(function, "domain error, all arguments must be non-negative, only sensible result is %1%.", boost::math::numeric_limits<T>::quiet_NaN(), pol); } // // Function is symmetric in x, y and z, but we require // (x - z)(y - z) >= 0 to avoid cancellation error in the result // which implies (for example) x >= z >= y // - using std::swap; if(x < y) - swap(x, y); + BOOST_MATH_GPU_SAFE_SWAP(x, y); if(x < z) - swap(x, z); + BOOST_MATH_GPU_SAFE_SWAP(x, z); if(y > z) - swap(y, z); + BOOST_MATH_GPU_SAFE_SWAP(y, z); BOOST_MATH_ASSERT(x >= z); BOOST_MATH_ASSERT(z >= y); @@ -64,7 +63,7 @@ namespace boost { namespace math { namespace detail{ else { // x = z, y != 0 - swap(x, y); + BOOST_MATH_GPU_SAFE_SWAP(x, y); return (x == 0) ? T(sqrt(z) / 2) : T((z * ellint_rc_imp(x, z, pol) + sqrt(x)) / 2); } } @@ -75,7 +74,7 @@ namespace boost { namespace math { namespace detail{ } else if(y == 0) { - swap(y, z); + BOOST_MATH_GPU_SAFE_SWAP(y, z); // // Special handling for common case, from // Numerical Computation of Real or Complex Elliptic Integrals, eq.46 @@ -106,7 +105,7 @@ namespace boost { namespace math { namespace detail{ } // namespace detail template <class T1, class T2, class T3, class Policy> -inline typename tools::promote_args<T1, T2, T3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3>::type ellint_rg(T1 x, T2 y, T3 z, const Policy& pol) { typedef typename tools::promote_args<T1, T2, T3>::type result_type; @@ -119,7 +118,7 @@ inline typename tools::promote_args<T1, T2, T3>::type } template <class T1, class T2, class T3> -inline typename tools::promote_args<T1, T2, T3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3>::type ellint_rg(T1 x, T2 y, T3 z) { return ellint_rg(x, y, z, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rj.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rj.hpp index f19eac2843..76e1a14eb4 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rj.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/ellint_rj.hpp @@ -1,4 +1,5 @@ // Copyright (c) 2006 Xiaogang Zhang, 2015 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -18,8 +19,9 @@ #pragma once #endif -#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/ellint_rc.hpp> #include <boost/math/special_functions/ellint_rf.hpp> @@ -32,7 +34,7 @@ namespace boost { namespace math { namespace detail{ template <typename T, typename Policy> -T ellint_rc1p_imp(T y, const Policy& pol) +BOOST_MATH_GPU_ENABLED T ellint_rc1p_imp(T y, const Policy& pol) { using namespace boost::math; // Calculate RC(1, 1 + x) @@ -70,11 +72,11 @@ T ellint_rc1p_imp(T y, const Policy& pol) } template <typename T, typename Policy> -T ellint_rj_imp(T x, T y, T z, T p, const Policy& pol) +BOOST_MATH_GPU_ENABLED T ellint_rj_imp_final(T x, T y, T z, T p, const Policy& pol) { BOOST_MATH_STD_USING - static const char* function = "boost::math::ellint_rj<%1%>(%1%,%1%,%1%)"; + constexpr auto function = "boost::math::ellint_rj<%1%>(%1%,%1%,%1%)"; if(x < 0) { @@ -94,37 +96,7 @@ T ellint_rj_imp(T x, T y, T z, T p, const Policy& pol) } if(x + y == 0 || y + z == 0 || z + x == 0) { - return policies::raise_domain_error<T>(function, "At most one argument can be zero, only possible result is %1%.", std::numeric_limits<T>::quiet_NaN(), pol); - } - - // for p < 0, the integral is singular, return Cauchy principal value - if(p < 0) - { - // - // We must ensure that x < y < z. - // Since the integral is symmetrical in x, y and z - // we can just permute the values: - // - if(x > y) - std::swap(x, y); - if(y > z) - std::swap(y, z); - if(x > y) - std::swap(x, y); - - BOOST_MATH_ASSERT(x <= y); - BOOST_MATH_ASSERT(y <= z); - - T q = -p; - p = (z * (x + y + q) - x * y) / (z + q); - - BOOST_MATH_ASSERT(p >= 0); - - T value = (p - z) * ellint_rj_imp(x, y, z, p, pol); - value -= 3 * ellint_rf_imp(x, y, z, pol); - value += 3 * sqrt((x * y * z) / (x * y + p * q)) * ellint_rc_imp(T(x * y + p * q), T(p * q), pol); - value /= (z + q); - return value; + return policies::raise_domain_error<T>(function, "At most one argument can be zero, only possible result is %1%.", boost::math::numeric_limits<T>::quiet_NaN(), pol); } // @@ -148,13 +120,12 @@ T ellint_rj_imp(T x, T y, T z, T p, const Policy& pol) else { // x = y only, permute so y = z: - using std::swap; - swap(x, z); + BOOST_MATH_GPU_SAFE_SWAP(x, z); if(y == p) { return ellint_rd_imp(x, y, y, pol); } - else if((std::max)(y, p) / (std::min)(y, p) > T(1.2)) + else if(BOOST_MATH_GPU_SAFE_MAX(y, p) / BOOST_MATH_GPU_SAFE_MIN(y, p) > T(1.2)) { return 3 * (ellint_rc_imp(x, y, pol) - ellint_rc_imp(x, p, pol)) / (p - y); } @@ -168,7 +139,7 @@ T ellint_rj_imp(T x, T y, T z, T p, const Policy& pol) // y = z = p: return ellint_rd_imp(x, y, y, pol); } - else if((std::max)(y, p) / (std::min)(y, p) > T(1.2)) + else if(BOOST_MATH_GPU_SAFE_MAX(y, p) / BOOST_MATH_GPU_SAFE_MIN(y, p) > T(1.2)) { // y = z: return 3 * (ellint_rc_imp(x, y, pol) - ellint_rc_imp(x, p, pol)) / (p - y); @@ -187,7 +158,7 @@ T ellint_rj_imp(T x, T y, T z, T p, const Policy& pol) T An = (x + y + z + 2 * p) / 5; T A0 = An; T delta = (p - x) * (p - y) * (p - z); - T Q = pow(tools::epsilon<T>() / 5, -T(1) / 8) * (std::max)((std::max)(fabs(An - x), fabs(An - y)), (std::max)(fabs(An - z), fabs(An - p))); + T Q = pow(tools::epsilon<T>() / 5, -T(1) / 8) * BOOST_MATH_GPU_SAFE_MAX(BOOST_MATH_GPU_SAFE_MAX(fabs(An - x), fabs(An - y)), BOOST_MATH_GPU_SAFE_MAX(fabs(An - z), fabs(An - p))); unsigned n; T lambda; @@ -260,10 +231,71 @@ T ellint_rj_imp(T x, T y, T z, T p, const Policy& pol) return result; } +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED T ellint_rj_imp(T x, T y, T z, T p, const Policy& pol) +{ + BOOST_MATH_STD_USING + + constexpr auto function = "boost::math::ellint_rj<%1%>(%1%,%1%,%1%)"; + + if(x < 0) + { + return policies::raise_domain_error<T>(function, "Argument x must be non-negative, but got x = %1%", x, pol); + } + if(y < 0) + { + return policies::raise_domain_error<T>(function, "Argument y must be non-negative, but got y = %1%", y, pol); + } + if(z < 0) + { + return policies::raise_domain_error<T>(function, "Argument z must be non-negative, but got z = %1%", z, pol); + } + if(p == 0) + { + return policies::raise_domain_error<T>(function, "Argument p must not be zero, but got p = %1%", p, pol); + } + if(x + y == 0 || y + z == 0 || z + x == 0) + { + return policies::raise_domain_error<T>(function, "At most one argument can be zero, only possible result is %1%.", boost::math::numeric_limits<T>::quiet_NaN(), pol); + } + + // for p < 0, the integral is singular, return Cauchy principal value + if(p < 0) + { + // + // We must ensure that x < y < z. + // Since the integral is symmetrical in x, y and z + // we can just permute the values: + // + if(x > y) + BOOST_MATH_GPU_SAFE_SWAP(x, y); + if(y > z) + BOOST_MATH_GPU_SAFE_SWAP(y, z); + if(x > y) + BOOST_MATH_GPU_SAFE_SWAP(x, y); + + BOOST_MATH_ASSERT(x <= y); + BOOST_MATH_ASSERT(y <= z); + + T q = -p; + p = (z * (x + y + q) - x * y) / (z + q); + + BOOST_MATH_ASSERT(p >= 0); + + T value = (p - z) * ellint_rj_imp_final(x, y, z, p, pol); + value -= 3 * ellint_rf_imp(x, y, z, pol); + value += 3 * sqrt((x * y * z) / (x * y + p * q)) * ellint_rc_imp(T(x * y + p * q), T(p * q), pol); + value /= (z + q); + return value; + } + + return ellint_rj_imp_final(x, y, z, p, pol); +} + } // namespace detail template <class T1, class T2, class T3, class T4, class Policy> -inline typename tools::promote_args<T1, T2, T3, T4>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3, T4>::type ellint_rj(T1 x, T2 y, T3 z, T4 p, const Policy& pol) { typedef typename tools::promote_args<T1, T2, T3, T4>::type result_type; @@ -278,7 +310,7 @@ inline typename tools::promote_args<T1, T2, T3, T4>::type } template <class T1, class T2, class T3, class T4> -inline typename tools::promote_args<T1, T2, T3, T4>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3, T4>::type ellint_rj(T1 x, T2 y, T3 z, T4 p) { return ellint_rj(x, y, z, p, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/erf.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/erf.hpp index 57ff605299..9f0da9282f 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/erf.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/erf.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,8 +11,11 @@ #pragma once #endif -#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + +#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/gamma.hpp> #include <boost/math/tools/roots.hpp> #include <boost/math/policies/error_handling.hpp> @@ -39,7 +43,7 @@ template <class T> struct erf_asympt_series_t { // LCOV_EXCL_START multiprecision case only, excluded from coverage analysis - erf_asympt_series_t(T z) : xx(2 * -z * z), tk(1) + BOOST_MATH_GPU_ENABLED erf_asympt_series_t(T z) : xx(2 * -z * z), tk(1) { BOOST_MATH_STD_USING result = -exp(-z * z) / sqrt(boost::math::constants::pi<T>()); @@ -48,7 +52,7 @@ struct erf_asympt_series_t typedef T result_type; - T operator()() + BOOST_MATH_GPU_ENABLED T operator()() { BOOST_MATH_STD_USING T r = result; @@ -68,33 +72,33 @@ private: // How large z has to be in order to ensure that the series converges: // template <class T> -inline float erf_asymptotic_limit_N(const T&) +BOOST_MATH_GPU_ENABLED inline float erf_asymptotic_limit_N(const T&) { return (std::numeric_limits<float>::max)(); } -inline float erf_asymptotic_limit_N(const std::integral_constant<int, 24>&) +BOOST_MATH_GPU_ENABLED inline float erf_asymptotic_limit_N(const std::integral_constant<int, 24>&) { return 2.8F; } -inline float erf_asymptotic_limit_N(const std::integral_constant<int, 53>&) +BOOST_MATH_GPU_ENABLED inline float erf_asymptotic_limit_N(const std::integral_constant<int, 53>&) { return 4.3F; } -inline float erf_asymptotic_limit_N(const std::integral_constant<int, 64>&) +BOOST_MATH_GPU_ENABLED inline float erf_asymptotic_limit_N(const std::integral_constant<int, 64>&) { return 4.8F; } -inline float erf_asymptotic_limit_N(const std::integral_constant<int, 106>&) +BOOST_MATH_GPU_ENABLED inline float erf_asymptotic_limit_N(const std::integral_constant<int, 106>&) { return 6.5F; } -inline float erf_asymptotic_limit_N(const std::integral_constant<int, 113>&) +BOOST_MATH_GPU_ENABLED inline float erf_asymptotic_limit_N(const std::integral_constant<int, 113>&) { return 6.8F; } template <class T, class Policy> -inline T erf_asymptotic_limit() +BOOST_MATH_GPU_ENABLED inline T erf_asymptotic_limit() { typedef typename policies::precision<T, Policy>::type precision_type; typedef std::integral_constant<int, @@ -198,7 +202,7 @@ T erf_imp(T z, bool invert, const Policy& pol, const Tag& t) } template <class T, class Policy> -T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, 53>& t) +BOOST_MATH_GPU_ENABLED T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, 53>&) { BOOST_MATH_STD_USING @@ -207,14 +211,30 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, if ((boost::math::isnan)(z)) return policies::raise_domain_error("boost::math::erf<%1%>(%1%)", "Expected a finite argument but got %1%", z, pol); + int prefix_multiplier = 1; + int prefix_adder = 0; + if(z < 0) { + // Recursion is logically simpler here, but confuses static analyzers that need to be + // able to calculate the maximimum program stack size at compile time (ie CUDA). + z = -z; if(!invert) - return -erf_imp(T(-z), invert, pol, t); + { + prefix_multiplier = -1; + // return -erf_imp(T(-z), invert, pol, t); + } else if(z < T(-0.5)) - return 2 - erf_imp(T(-z), invert, pol, t); + { + prefix_adder = 2; + // return 2 - erf_imp(T(-z), invert, pol, t); + } else - return 1 + erf_imp(T(-z), false, pol, t); + { + invert = false; + prefix_adder = 1; + // return 1 + erf_imp(T(-z), false, pol, t); + } } T result; @@ -237,7 +257,7 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, } else { - static const T c = BOOST_MATH_BIG_CONSTANT(T, 53, 0.003379167095512573896158903121545171688); // LCOV_EXCL_LINE + BOOST_MATH_STATIC_LOCAL_VARIABLE const T c = BOOST_MATH_BIG_CONSTANT(T, 53, 0.003379167095512573896158903121545171688); // LCOV_EXCL_LINE result = static_cast<T>(z * 1.125f + z * c); } } @@ -248,15 +268,15 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, // Maximum Relative Change in Control Points: 1.155e-04 // Max Error found at double precision = 2.961182e-17 // LCOV_EXCL_START - static const T Y = 1.044948577880859375f; - static const T P[] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const T Y = 1.044948577880859375f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 53, 0.0834305892146531832907), BOOST_MATH_BIG_CONSTANT(T, 53, -0.338165134459360935041), BOOST_MATH_BIG_CONSTANT(T, 53, -0.0509990735146777432841), BOOST_MATH_BIG_CONSTANT(T, 53, -0.00772758345802133288487), BOOST_MATH_BIG_CONSTANT(T, 53, -0.000322780120964605683831), }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, 0.455004033050794024546), BOOST_MATH_BIG_CONSTANT(T, 53, 0.0875222600142252549554), @@ -281,8 +301,8 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, // Maximum Relative Change in Control Points: 2.845e-04 // Max Error found at double precision = 4.841816e-17 // LCOV_EXCL_START - static const T Y = 0.405935764312744140625f; - static const T P[] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const T Y = 0.405935764312744140625f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 53, -0.098090592216281240205), BOOST_MATH_BIG_CONSTANT(T, 53, 0.178114665841120341155), BOOST_MATH_BIG_CONSTANT(T, 53, 0.191003695796775433986), @@ -290,7 +310,7 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, BOOST_MATH_BIG_CONSTANT(T, 53, 0.0195049001251218801359), BOOST_MATH_BIG_CONSTANT(T, 53, 0.00180424538297014223957), }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, 1.84759070983002217845), BOOST_MATH_BIG_CONSTANT(T, 53, 1.42628004845511324508), @@ -316,8 +336,8 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, // Expected Error Term: 3.909e-18 // Maximum Relative Change in Control Points: 9.886e-05 // LCOV_EXCL_START - static const T Y = 0.50672817230224609375f; - static const T P[] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const T Y = 0.50672817230224609375f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 53, -0.0243500476207698441272), BOOST_MATH_BIG_CONSTANT(T, 53, 0.0386540375035707201728), BOOST_MATH_BIG_CONSTANT(T, 53, 0.04394818964209516296), @@ -325,7 +345,7 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, BOOST_MATH_BIG_CONSTANT(T, 53, 0.00323962406290842133584), BOOST_MATH_BIG_CONSTANT(T, 53, 0.000235839115596880717416), }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, 1.53991494948552447182), BOOST_MATH_BIG_CONSTANT(T, 53, 0.982403709157920235114), @@ -351,8 +371,8 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, // Maximum Relative Change in Control Points: 2.222e-04 // Max Error found at double precision = 2.062515e-17 // LCOV_EXCL_START - static const T Y = 0.5405750274658203125f; - static const T P[] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const T Y = 0.5405750274658203125f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 53, 0.00295276716530971662634), BOOST_MATH_BIG_CONSTANT(T, 53, 0.0137384425896355332126), BOOST_MATH_BIG_CONSTANT(T, 53, 0.00840807615555585383007), @@ -360,7 +380,7 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, BOOST_MATH_BIG_CONSTANT(T, 53, 0.000250269961544794627958), BOOST_MATH_BIG_CONSTANT(T, 53, 0.113212406648847561139e-4), }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, 1.04217814166938418171), BOOST_MATH_BIG_CONSTANT(T, 53, 0.442597659481563127003), @@ -386,8 +406,8 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, // Expected Error Term: 2.859e-17 // Maximum Relative Change in Control Points: 1.357e-05 // LCOV_EXCL_START - static const T Y = 0.5579090118408203125f; - static const T P[] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const T Y = 0.5579090118408203125f; + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 53, 0.00628057170626964891937), BOOST_MATH_BIG_CONSTANT(T, 53, 0.0175389834052493308818), BOOST_MATH_BIG_CONSTANT(T, 53, -0.212652252872804219852), @@ -396,7 +416,7 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, BOOST_MATH_BIG_CONSTANT(T, 53, -3.22729451764143718517), BOOST_MATH_BIG_CONSTANT(T, 53, -2.8175401114513378771), }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, 2.79257750980575282228), BOOST_MATH_BIG_CONSTANT(T, 53, 11.0567237927800161565), @@ -428,10 +448,11 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, if(invert) { - result = 1 - result; + prefix_adder += prefix_multiplier * 1; + prefix_multiplier = -prefix_multiplier; } - return result; + return prefix_adder + prefix_multiplier * result; } // template <class T, class Lanczos>T erf_imp(T z, bool invert, const Lanczos& l, const std::integral_constant<int, 53>& t) @@ -1175,7 +1196,7 @@ T erf_imp(T z, bool invert, const Policy& pol, const std::integral_constant<int, } // namespace detail template <class T, class Policy> -inline typename tools::promote_args<T>::type erf(T z, const Policy& /* pol */) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type erf(T z, const Policy& /* pol */) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -1208,7 +1229,7 @@ inline typename tools::promote_args<T>::type erf(T z, const Policy& /* pol */) } template <class T, class Policy> -inline typename tools::promote_args<T>::type erfc(T z, const Policy& /* pol */) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type erfc(T z, const Policy& /* pol */) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -1241,13 +1262,13 @@ inline typename tools::promote_args<T>::type erfc(T z, const Policy& /* pol */) } template <class T> -inline typename tools::promote_args<T>::type erf(T z) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type erf(T z) { return boost::math::erf(z, policies::policy<>()); } template <class T> -inline typename tools::promote_args<T>::type erfc(T z) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type erfc(T z) { return boost::math::erfc(z, policies::policy<>()); } @@ -1255,6 +1276,64 @@ inline typename tools::promote_args<T>::type erfc(T z) } // namespace math } // namespace boost +#else // Special handling for NVRTC platform + +namespace boost { +namespace math { + +template <typename T> +BOOST_MATH_GPU_ENABLED auto erf(T x) +{ + return ::erf(x); +} + +template <> +BOOST_MATH_GPU_ENABLED auto erf(float x) +{ + return ::erff(x); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED auto erf(T x, const Policy&) +{ + return ::erf(x); +} + +template <typename Policy> +BOOST_MATH_GPU_ENABLED auto erf(float x, const Policy&) +{ + return ::erff(x); +} + +template <typename T> +BOOST_MATH_GPU_ENABLED auto erfc(T x) +{ + return ::erfc(x); +} + +template <> +BOOST_MATH_GPU_ENABLED auto erfc(float x) +{ + return ::erfcf(x); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED auto erfc(T x, const Policy&) +{ + return ::erfc(x); +} + +template <typename Policy> +BOOST_MATH_GPU_ENABLED auto erfc(float x, const Policy&) +{ + return ::erfcf(x); +} + +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_HAS_NVRTC + #include <boost/math/special_functions/detail/erf_inv.hpp> #endif // BOOST_MATH_SPECIAL_ERF_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/expint.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/expint.hpp index 1475a9a88b..09e97bd4fc 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/expint.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/expint.hpp @@ -1,4 +1,5 @@ // Copyright John Maddock 2007. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -12,6 +13,10 @@ #pragma warning(disable:4702) // Unreachable code (release mode only warning) #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/tuple.hpp> #include <boost/math/tools/precision.hpp> #include <boost/math/tools/promotion.hpp> #include <boost/math/tools/fraction.hpp> @@ -20,7 +25,6 @@ #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/digamma.hpp> #include <boost/math/special_functions/log1p.hpp> -#include <boost/math/special_functions/pow.hpp> #if defined(__GNUC__) && defined(BOOST_MATH_USE_FLOAT128) // @@ -35,13 +39,13 @@ namespace boost{ namespace math{ template <class T, class Policy> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type expint(unsigned n, T z, const Policy& /*pol*/); namespace detail{ template <class T> -inline T expint_1_rational(const T& z, const std::integral_constant<int, 0>&) +BOOST_MATH_GPU_ENABLED inline T expint_1_rational(const T& z, const boost::math::integral_constant<int, 0>&) { // this function is never actually called BOOST_MATH_ASSERT(0); @@ -49,7 +53,7 @@ inline T expint_1_rational(const T& z, const std::integral_constant<int, 0>&) } template <class T> -T expint_1_rational(const T& z, const std::integral_constant<int, 53>&) +BOOST_MATH_GPU_ENABLED T expint_1_rational(const T& z, const boost::math::integral_constant<int, 53>&) { BOOST_MATH_STD_USING T result; @@ -123,7 +127,7 @@ T expint_1_rational(const T& z, const std::integral_constant<int, 53>&) } template <class T> -T expint_1_rational(const T& z, const std::integral_constant<int, 64>&) +BOOST_MATH_GPU_ENABLED T expint_1_rational(const T& z, const boost::math::integral_constant<int, 64>&) { BOOST_MATH_STD_USING T result; @@ -204,7 +208,7 @@ T expint_1_rational(const T& z, const std::integral_constant<int, 64>&) } template <class T> -T expint_1_rational(const T& z, const std::integral_constant<int, 113>&) +BOOST_MATH_GPU_ENABLED T expint_1_rational(const T& z, const boost::math::integral_constant<int, 113>&) { BOOST_MATH_STD_USING T result; @@ -351,14 +355,15 @@ T expint_1_rational(const T& z, const std::integral_constant<int, 113>&) return result; } + template <class T> struct expint_fraction { - typedef std::pair<T,T> result_type; - expint_fraction(unsigned n_, T z_) : b(n_ + z_), i(-1), n(n_){} - std::pair<T,T> operator()() + typedef boost::math::pair<T,T> result_type; + BOOST_MATH_GPU_ENABLED expint_fraction(unsigned n_, T z_) : b(n_ + z_), i(-1), n(n_){} + BOOST_MATH_GPU_ENABLED boost::math::pair<T,T> operator()() { - std::pair<T,T> result = std::make_pair(-static_cast<T>((i+1) * (n+i)), b); + boost::math::pair<T,T> result = boost::math::make_pair(-static_cast<T>((i+1) * (n+i)), b); b += 2; ++i; return result; @@ -370,11 +375,11 @@ private: }; template <class T, class Policy> -inline T expint_as_fraction(unsigned n, T z, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T expint_as_fraction(unsigned n, T z, const Policy& pol) { BOOST_MATH_STD_USING BOOST_MATH_INSTRUMENT_VARIABLE(z) - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); expint_fraction<T> f(n, z); T result = tools::continued_fraction_b( f, @@ -392,9 +397,9 @@ template <class T> struct expint_series { typedef T result_type; - expint_series(unsigned k_, T z_, T x_k_, T denom_, T fact_) + BOOST_MATH_GPU_ENABLED expint_series(unsigned k_, T z_, T x_k_, T denom_, T fact_) : k(k_), z(z_), x_k(x_k_), denom(denom_), fact(fact_){} - T operator()() + BOOST_MATH_GPU_ENABLED T operator()() { x_k *= -z; denom += 1; @@ -410,10 +415,10 @@ private: }; template <class T, class Policy> -inline T expint_as_series(unsigned n, T z, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T expint_as_series(unsigned n, T z, const Policy& pol) { BOOST_MATH_STD_USING - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); BOOST_MATH_INSTRUMENT_VARIABLE(z) @@ -443,10 +448,10 @@ inline T expint_as_series(unsigned n, T z, const Policy& pol) } template <class T, class Policy, class Tag> -T expint_imp(unsigned n, T z, const Policy& pol, const Tag& tag) +BOOST_MATH_GPU_ENABLED T expint_imp(unsigned n, T z, const Policy& pol, const Tag& tag) { BOOST_MATH_STD_USING - static const char* function = "boost::math::expint<%1%>(unsigned, %1%)"; + constexpr auto function = "boost::math::expint<%1%>(unsigned, %1%)"; if(z < 0) return policies::raise_domain_error<T>(function, "Function requires z >= 0 but got %1%.", z, pol); if(z == 0) @@ -468,15 +473,21 @@ T expint_imp(unsigned n, T z, const Policy& pol, const Tag& tag) # pragma warning(disable:4127) // conditional expression is constant #endif if(n == 0) + { result = exp(-z) / z; + } else if((n == 1) && (Tag::value)) { result = expint_1_rational(z, tag); } else if(f) + { result = expint_as_series(n, z, pol); + } else + { result = expint_as_fraction(n, z, pol); + } #ifdef _MSC_VER # pragma warning(pop) #endif @@ -488,8 +499,8 @@ template <class T> struct expint_i_series { typedef T result_type; - expint_i_series(T z_) : k(0), z_k(1), z(z_){} - T operator()() + BOOST_MATH_GPU_ENABLED expint_i_series(T z_) : k(0), z_k(1), z(z_){} + BOOST_MATH_GPU_ENABLED T operator()() { z_k *= z / ++k; return z_k / k; @@ -501,22 +512,22 @@ private: }; template <class T, class Policy> -T expint_i_as_series(T z, const Policy& pol) +BOOST_MATH_GPU_ENABLED T expint_i_as_series(T z, const Policy& pol) { BOOST_MATH_STD_USING T result = log(z); // (log(z) - log(1 / z)) / 2; result += constants::euler<T>(); expint_i_series<T> s(z); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); result = tools::sum_series(s, policies::get_epsilon<T, Policy>(), max_iter, result); policies::check_series_iterations<T>("boost::math::expint_i_series<%1%>(%1%)", max_iter, pol); return result; } template <class T, class Policy, class Tag> -T expint_i_imp(T z, const Policy& pol, const Tag& tag) +BOOST_MATH_GPU_ENABLED T expint_i_imp(T z, const Policy& pol, const Tag& tag) { - static const char* function = "boost::math::expint<%1%>(%1%)"; + constexpr auto function = "boost::math::expint<%1%>(%1%)"; if(z < 0) return -expint_imp(1, T(-z), pol, tag); if(z == 0) @@ -525,10 +536,10 @@ T expint_i_imp(T z, const Policy& pol, const Tag& tag) } template <class T, class Policy> -T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& tag) +BOOST_MATH_GPU_ENABLED T expint_i_imp(T z, const Policy& pol, const boost::math::integral_constant<int, 53>& tag) { BOOST_MATH_STD_USING - static const char* function = "boost::math::expint<%1%>(%1%)"; + constexpr auto function = "boost::math::expint<%1%>(%1%)"; if(z < 0) return -expint_imp(1, T(-z), pol, tag); if(z == 0) @@ -541,7 +552,7 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& ta // Maximum Deviation Found: 2.852e-18 // Expected Error Term: 2.852e-18 // Max Error found at double precision = Poly: 2.636335e-16 Cheb: 4.187027e-16 - static const T P[10] = { + BOOST_MATH_STATIC const T P[10] = { BOOST_MATH_BIG_CONSTANT(T, 53, 2.98677224343598593013), BOOST_MATH_BIG_CONSTANT(T, 53, 0.356343618769377415068), BOOST_MATH_BIG_CONSTANT(T, 53, 0.780836076283730801839), @@ -553,7 +564,7 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& ta BOOST_MATH_BIG_CONSTANT(T, 53, 0.798296365679269702435e-5), BOOST_MATH_BIG_CONSTANT(T, 53, 0.2777056254402008721e-6) }; - static const T Q[8] = { + BOOST_MATH_STATIC const T Q[8] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, -1.17090412365413911947), BOOST_MATH_BIG_CONSTANT(T, 53, 0.62215109846016746276), @@ -564,11 +575,11 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& ta BOOST_MATH_BIG_CONSTANT(T, 53, -0.138972589601781706598e-4) }; - static const T c1 = BOOST_MATH_BIG_CONSTANT(T, 53, 1677624236387711.0); - static const T c2 = BOOST_MATH_BIG_CONSTANT(T, 53, 4503599627370496.0); - static const T r1 = static_cast<T>(c1 / c2); - static const T r2 = BOOST_MATH_BIG_CONSTANT(T, 53, 0.131401834143860282009280387409357165515556574352422001206362e-16); - static const T r = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 53, 0.372507410781366634461991866580119133535689497771654051555657435242200120636201854384926049951548942392)); + BOOST_MATH_STATIC_LOCAL_VARIABLE const T c1 = BOOST_MATH_BIG_CONSTANT(T, 53, 1677624236387711.0); + BOOST_MATH_STATIC_LOCAL_VARIABLE const T c2 = BOOST_MATH_BIG_CONSTANT(T, 53, 4503599627370496.0); + BOOST_MATH_STATIC_LOCAL_VARIABLE const T r1 = static_cast<T>(c1 / c2); + BOOST_MATH_STATIC_LOCAL_VARIABLE const T r2 = BOOST_MATH_BIG_CONSTANT(T, 53, 0.131401834143860282009280387409357165515556574352422001206362e-16); + BOOST_MATH_STATIC_LOCAL_VARIABLE const T r = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 53, 0.372507410781366634461991866580119133535689497771654051555657435242200120636201854384926049951548942392)); T t = (z / 3) - 1; result = tools::evaluate_polynomial(P, t) / tools::evaluate_polynomial(Q, t); @@ -588,8 +599,8 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& ta // Maximum Deviation Found: 6.546e-17 // Expected Error Term: 6.546e-17 // Max Error found at double precision = Poly: 6.890169e-17 Cheb: 6.772128e-17 - static const T Y = 1.158985137939453125F; - static const T P[8] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const T Y = 1.158985137939453125F; + BOOST_MATH_STATIC const T P[8] = { BOOST_MATH_BIG_CONSTANT(T, 53, 0.00139324086199402804173), BOOST_MATH_BIG_CONSTANT(T, 53, -0.0349921221823888744966), BOOST_MATH_BIG_CONSTANT(T, 53, -0.0264095520754134848538), @@ -599,7 +610,7 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& ta BOOST_MATH_BIG_CONSTANT(T, 53, -0.554086272024881826253e-4), BOOST_MATH_BIG_CONSTANT(T, 53, -0.396487648924804510056e-5) }; - static const T Q[8] = { + BOOST_MATH_STATIC const T Q[8] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, 0.744625566823272107711), BOOST_MATH_BIG_CONSTANT(T, 53, 0.329061095011767059236), @@ -621,8 +632,8 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& ta // Expected Error Term: -1.842e-17 // Max Error found at double precision = Poly: 4.375868e-17 Cheb: 5.860967e-17 - static const T Y = 1.0869731903076171875F; - static const T P[9] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const T Y = 1.0869731903076171875F; + BOOST_MATH_STATIC const T P[9] = { BOOST_MATH_BIG_CONSTANT(T, 53, -0.00893891094356945667451), BOOST_MATH_BIG_CONSTANT(T, 53, -0.0484607730127134045806), BOOST_MATH_BIG_CONSTANT(T, 53, -0.0652810444222236895772), @@ -633,7 +644,7 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& ta BOOST_MATH_BIG_CONSTANT(T, 53, -0.000209750022660200888349), BOOST_MATH_BIG_CONSTANT(T, 53, -0.138652200349182596186e-4) }; - static const T Q[9] = { + BOOST_MATH_STATIC const T Q[9] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, 1.97017214039061194971), BOOST_MATH_BIG_CONSTANT(T, 53, 1.86232465043073157508), @@ -657,8 +668,8 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& ta // Max Error found at double precision = Poly: 1.441088e-16 Cheb: 1.864792e-16 - static const T Y = 1.03937530517578125F; - static const T P[9] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const T Y = 1.03937530517578125F; + BOOST_MATH_STATIC const T P[9] = { BOOST_MATH_BIG_CONSTANT(T, 53, -0.00356165148914447597995), BOOST_MATH_BIG_CONSTANT(T, 53, -0.0229930320357982333406), BOOST_MATH_BIG_CONSTANT(T, 53, -0.0449814350482277917716), @@ -669,7 +680,7 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& ta BOOST_MATH_BIG_CONSTANT(T, 53, -0.000192178045857733706044), BOOST_MATH_BIG_CONSTANT(T, 53, -0.113161784705911400295e-9) }; - static const T Q[9] = { + BOOST_MATH_STATIC const T Q[9] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, 2.84354408840148561131), BOOST_MATH_BIG_CONSTANT(T, 53, 3.6599610090072393012), @@ -688,9 +699,9 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& ta else { // Max Error found at double precision = 3.381886e-17 - static const T exp40 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 53, 2.35385266837019985407899910749034804508871617254555467236651e17)); - static const T Y= 1.013065338134765625F; - static const T P[6] = { + BOOST_MATH_STATIC_LOCAL_VARIABLE const T exp40 = static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 53, 2.35385266837019985407899910749034804508871617254555467236651e17)); + BOOST_MATH_STATIC_LOCAL_VARIABLE const T Y= 1.013065338134765625F; + BOOST_MATH_STATIC const T P[6] = { BOOST_MATH_BIG_CONSTANT(T, 53, -0.0130653381347656243849), BOOST_MATH_BIG_CONSTANT(T, 53, 0.19029710559486576682), BOOST_MATH_BIG_CONSTANT(T, 53, 94.7365094537197236011), @@ -698,7 +709,7 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& ta BOOST_MATH_BIG_CONSTANT(T, 53, 18932.0850014925993025), BOOST_MATH_BIG_CONSTANT(T, 53, -38703.1431362056714134) }; - static const T Q[7] = { + BOOST_MATH_STATIC const T Q[7] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, 61.9733592849439884145), BOOST_MATH_BIG_CONSTANT(T, 53, -2354.56211323420194283), @@ -739,10 +750,10 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 53>& ta } template <class T, class Policy> -T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 64>& tag) +BOOST_MATH_GPU_ENABLED T expint_i_imp(T z, const Policy& pol, const boost::math::integral_constant<int, 64>& tag) { BOOST_MATH_STD_USING - static const char* function = "boost::math::expint<%1%>(%1%)"; + constexpr auto function = "boost::math::expint<%1%>(%1%)"; if(z < 0) return -expint_imp(1, T(-z), pol, tag); if(z == 0) @@ -976,7 +987,7 @@ T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 64>& ta } template <class T, class Policy> -void expint_i_imp_113a(T& result, const T& z, const Policy& pol) +BOOST_MATH_GPU_ENABLED void expint_i_imp_113a(T& result, const T& z, const Policy& pol) { BOOST_MATH_STD_USING // Maximum Deviation Found: 1.230e-36 @@ -1044,7 +1055,7 @@ void expint_i_imp_113a(T& result, const T& z, const Policy& pol) } template <class T> -void expint_i_113b(T& result, const T& z) +BOOST_MATH_GPU_ENABLED void expint_i_113b(T& result, const T& z) { BOOST_MATH_STD_USING // Maximum Deviation Found: 7.779e-36 @@ -1094,7 +1105,7 @@ void expint_i_113b(T& result, const T& z) } template <class T> -void expint_i_113c(T& result, const T& z) +BOOST_MATH_GPU_ENABLED void expint_i_113c(T& result, const T& z) { BOOST_MATH_STD_USING // Maximum Deviation Found: 1.082e-34 @@ -1147,7 +1158,7 @@ void expint_i_113c(T& result, const T& z) } template <class T> -void expint_i_113d(T& result, const T& z) +BOOST_MATH_GPU_ENABLED void expint_i_113d(T& result, const T& z) { BOOST_MATH_STD_USING // Maximum Deviation Found: 3.163e-35 @@ -1198,7 +1209,7 @@ void expint_i_113d(T& result, const T& z) } template <class T> -void expint_i_113e(T& result, const T& z) +BOOST_MATH_GPU_ENABLED void expint_i_113e(T& result, const T& z) { BOOST_MATH_STD_USING // Maximum Deviation Found: 7.972e-36 @@ -1252,7 +1263,7 @@ void expint_i_113e(T& result, const T& z) } template <class T> -void expint_i_113f(T& result, const T& z) +BOOST_MATH_GPU_ENABLED void expint_i_113f(T& result, const T& z) { BOOST_MATH_STD_USING // Maximum Deviation Found: 4.469e-36 @@ -1299,7 +1310,7 @@ void expint_i_113f(T& result, const T& z) } template <class T> -void expint_i_113g(T& result, const T& z) +BOOST_MATH_GPU_ENABLED void expint_i_113g(T& result, const T& z) { BOOST_MATH_STD_USING // Maximum Deviation Found: 5.588e-35 @@ -1344,7 +1355,7 @@ void expint_i_113g(T& result, const T& z) } template <class T> -void expint_i_113h(T& result, const T& z) +BOOST_MATH_GPU_ENABLED void expint_i_113h(T& result, const T& z) { BOOST_MATH_STD_USING // Maximum Deviation Found: 4.448e-36 @@ -1383,10 +1394,10 @@ void expint_i_113h(T& result, const T& z) } template <class T, class Policy> -T expint_i_imp(T z, const Policy& pol, const std::integral_constant<int, 113>& tag) +BOOST_MATH_GPU_ENABLED T expint_i_imp(T z, const Policy& pol, const boost::math::integral_constant<int, 113>& tag) { BOOST_MATH_STD_USING - static const char* function = "boost::math::expint<%1%>(%1%)"; + constexpr auto function = "boost::math::expint<%1%>(%1%)"; if(z < 0) return -expint_imp(1, T(-z), pol, tag); if(z == 0) @@ -1491,12 +1502,12 @@ struct expint_i_initializer { struct init { - init() + BOOST_MATH_GPU_ENABLED init() { do_init(tag()); } - static void do_init(const std::integral_constant<int, 0>&){} - static void do_init(const std::integral_constant<int, 53>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 0>&){} + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 53>&) { boost::math::expint(T(5), Policy()); boost::math::expint(T(7), Policy()); @@ -1504,7 +1515,7 @@ struct expint_i_initializer boost::math::expint(T(38), Policy()); boost::math::expint(T(45), Policy()); } - static void do_init(const std::integral_constant<int, 64>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 64>&) { boost::math::expint(T(5), Policy()); boost::math::expint(T(7), Policy()); @@ -1512,7 +1523,7 @@ struct expint_i_initializer boost::math::expint(T(38), Policy()); boost::math::expint(T(45), Policy()); } - static void do_init(const std::integral_constant<int, 113>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 113>&) { boost::math::expint(T(5), Policy()); boost::math::expint(T(7), Policy()); @@ -1524,12 +1535,14 @@ struct expint_i_initializer boost::math::expint(T(200), Policy()); boost::math::expint(T(220), Policy()); } - void force_instantiate()const{} + BOOST_MATH_GPU_ENABLED void force_instantiate()const{} }; static const init initializer; - static void force_instantiate() + BOOST_MATH_GPU_ENABLED static void force_instantiate() { + #ifndef BOOST_MATH_HAS_GPU_SUPPORT initializer.force_instantiate(); + #endif } }; @@ -1541,33 +1554,35 @@ struct expint_1_initializer { struct init { - init() + BOOST_MATH_GPU_ENABLED init() { do_init(tag()); } - static void do_init(const std::integral_constant<int, 0>&){} - static void do_init(const std::integral_constant<int, 53>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 0>&){} + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 53>&) { boost::math::expint(1, T(0.5), Policy()); boost::math::expint(1, T(2), Policy()); } - static void do_init(const std::integral_constant<int, 64>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 64>&) { boost::math::expint(1, T(0.5), Policy()); boost::math::expint(1, T(2), Policy()); } - static void do_init(const std::integral_constant<int, 113>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 113>&) { boost::math::expint(1, T(0.5), Policy()); boost::math::expint(1, T(2), Policy()); boost::math::expint(1, T(6), Policy()); } - void force_instantiate()const{} + BOOST_MATH_GPU_ENABLED void force_instantiate()const{} }; static const init initializer; - static void force_instantiate() + BOOST_MATH_GPU_ENABLED static void force_instantiate() { + #ifndef BOOST_MATH_HAS_GPU_SUPPORT initializer.force_instantiate(); + #endif } }; @@ -1575,8 +1590,8 @@ template <class T, class Policy, class tag> const typename expint_1_initializer<T, Policy, tag>::init expint_1_initializer<T, Policy, tag>::initializer; template <class T, class Policy> -inline typename tools::promote_args<T>::type - expint_forwarder(T z, const Policy& /*pol*/, std::true_type const&) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type + expint_forwarder(T z, const Policy& /*pol*/, boost::math::true_type const&) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -1587,7 +1602,7 @@ inline typename tools::promote_args<T>::type policies::promote_double<false>, policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - typedef std::integral_constant<int, + typedef boost::math::integral_constant<int, precision_type::value <= 0 ? 0 : precision_type::value <= 53 ? 53 : precision_type::value <= 64 ? 64 : @@ -1603,8 +1618,8 @@ inline typename tools::promote_args<T>::type } template <class T> -inline typename tools::promote_args<T>::type -expint_forwarder(unsigned n, T z, const std::false_type&) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type +expint_forwarder(unsigned n, T z, const boost::math::false_type&) { return boost::math::expint(n, z, policies::policy<>()); } @@ -1612,7 +1627,7 @@ expint_forwarder(unsigned n, T z, const std::false_type&) } // namespace detail template <class T, class Policy> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type expint(unsigned n, T z, const Policy& /*pol*/) { typedef typename tools::promote_args<T>::type result_type; @@ -1624,7 +1639,7 @@ inline typename tools::promote_args<T>::type policies::promote_double<false>, policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - typedef std::integral_constant<int, + typedef boost::math::integral_constant<int, precision_type::value <= 0 ? 0 : precision_type::value <= 53 ? 53 : precision_type::value <= 64 ? 64 : @@ -1641,7 +1656,7 @@ inline typename tools::promote_args<T>::type } template <class T, class U> -inline typename detail::expint_result<T, U>::type +BOOST_MATH_GPU_ENABLED inline typename detail::expint_result<T, U>::type expint(T const z, U const u) { typedef typename policies::is_policy<U>::type tag_type; @@ -1649,7 +1664,7 @@ inline typename detail::expint_result<T, U>::type } template <class T> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type expint(T z) { return expint(z, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/expm1.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/expm1.hpp index eec6356031..5e61ca20b0 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/expm1.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/expm1.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,10 +11,10 @@ #pragma once #endif -#include <cmath> -#include <cstdint> -#include <limits> #include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <boost/math/tools/series.hpp> #include <boost/math/tools/precision.hpp> #include <boost/math/tools/big_constant.hpp> @@ -21,6 +22,9 @@ #include <boost/math/tools/rational.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/tools/assert.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/cstdint.hpp> #if defined(__GNUC__) && defined(BOOST_MATH_USE_FLOAT128) // @@ -45,10 +49,10 @@ namespace detail { typedef T result_type; - expm1_series(T x) + BOOST_MATH_GPU_ENABLED expm1_series(T x) : k(0), m_x(x), m_term(1) {} - T operator()() + BOOST_MATH_GPU_ENABLED T operator()() { ++k; m_term *= m_x; @@ -56,7 +60,7 @@ namespace detail return m_term; } - int count()const + BOOST_MATH_GPU_ENABLED int count()const { return k; } @@ -74,26 +78,28 @@ struct expm1_initializer { struct init { - init() + BOOST_MATH_GPU_ENABLED init() { do_init(tag()); } template <int N> - static void do_init(const std::integral_constant<int, N>&){} - static void do_init(const std::integral_constant<int, 64>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, N>&){} + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 64>&) { expm1(T(0.5)); } - static void do_init(const std::integral_constant<int, 113>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 113>&) { expm1(T(0.5)); } - void force_instantiate()const{} + BOOST_MATH_GPU_ENABLED void force_instantiate()const{} }; - static const init initializer; - static void force_instantiate() + BOOST_MATH_STATIC const init initializer; + BOOST_MATH_GPU_ENABLED static void force_instantiate() { + #ifndef BOOST_MATH_HAS_GPU_SUPPORT initializer.force_instantiate(); + #endif } }; @@ -106,7 +112,7 @@ const typename expm1_initializer<T, Policy, tag>::init expm1_initializer<T, Poli // This version uses a Taylor series expansion for 0.5 > |x| > epsilon. // template <class T, class Policy> -T expm1_imp(T x, const std::integral_constant<int, 0>&, const Policy& pol) +T expm1_imp(T x, const boost::math::integral_constant<int, 0>&, const Policy& pol) { BOOST_MATH_STD_USING @@ -128,7 +134,7 @@ T expm1_imp(T x, const std::integral_constant<int, 0>&, const Policy& pol) if(a < tools::epsilon<T>()) return x; detail::expm1_series<T> s(x); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T result = tools::sum_series(s, policies::get_epsilon<T, Policy>(), max_iter); @@ -137,7 +143,7 @@ T expm1_imp(T x, const std::integral_constant<int, 0>&, const Policy& pol) } template <class T, class P> -T expm1_imp(T x, const std::integral_constant<int, 53>&, const P& pol) +BOOST_MATH_GPU_ENABLED T expm1_imp(T x, const boost::math::integral_constant<int, 53>&, const P& pol) { BOOST_MATH_STD_USING @@ -155,16 +161,16 @@ T expm1_imp(T x, const std::integral_constant<int, 53>&, const P& pol) if(a < tools::epsilon<T>()) return x; - static const float Y = 0.10281276702880859e1f; - static const T n[] = { static_cast<T>(-0.28127670288085937e-1), static_cast<T>(0.51278186299064534e0), static_cast<T>(-0.6310029069350198e-1), static_cast<T>(0.11638457975729296e-1), static_cast<T>(-0.52143390687521003e-3), static_cast<T>(0.21491399776965688e-4) }; - static const T d[] = { 1, static_cast<T>(-0.45442309511354755e0), static_cast<T>(0.90850389570911714e-1), static_cast<T>(-0.10088963629815502e-1), static_cast<T>(0.63003407478692265e-3), static_cast<T>(-0.17976570003654402e-4) }; + BOOST_MATH_STATIC const float Y = 0.10281276702880859e1f; + BOOST_MATH_STATIC const T n[] = { static_cast<T>(-0.28127670288085937e-1), static_cast<T>(0.51278186299064534e0), static_cast<T>(-0.6310029069350198e-1), static_cast<T>(0.11638457975729296e-1), static_cast<T>(-0.52143390687521003e-3), static_cast<T>(0.21491399776965688e-4) }; + BOOST_MATH_STATIC const T d[] = { 1, static_cast<T>(-0.45442309511354755e0), static_cast<T>(0.90850389570911714e-1), static_cast<T>(-0.10088963629815502e-1), static_cast<T>(0.63003407478692265e-3), static_cast<T>(-0.17976570003654402e-4) }; T result = x * Y + x * tools::evaluate_polynomial(n, x) / tools::evaluate_polynomial(d, x); return result; } template <class T, class P> -T expm1_imp(T x, const std::integral_constant<int, 64>&, const P& pol) +BOOST_MATH_GPU_ENABLED T expm1_imp(T x, const boost::math::integral_constant<int, 64>&, const P& pol) { BOOST_MATH_STD_USING @@ -182,8 +188,8 @@ T expm1_imp(T x, const std::integral_constant<int, 64>&, const P& pol) if(a < tools::epsilon<T>()) return x; - static const float Y = 0.10281276702880859375e1f; - static const T n[] = { + BOOST_MATH_STATIC const float Y = 0.10281276702880859375e1f; + BOOST_MATH_STATIC const T n[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.281276702880859375e-1), BOOST_MATH_BIG_CONSTANT(T, 64, 0.512980290285154286358e0), BOOST_MATH_BIG_CONSTANT(T, 64, -0.667758794592881019644e-1), @@ -192,7 +198,7 @@ T expm1_imp(T x, const std::integral_constant<int, 64>&, const P& pol) BOOST_MATH_BIG_CONSTANT(T, 64, 0.447441185192951335042e-4), BOOST_MATH_BIG_CONSTANT(T, 64, -0.714539134024984593011e-6) }; - static const T d[] = { + BOOST_MATH_STATIC const T d[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.0), BOOST_MATH_BIG_CONSTANT(T, 64, -0.461477618025562520389e0), BOOST_MATH_BIG_CONSTANT(T, 64, 0.961237488025708540713e-1), @@ -207,7 +213,7 @@ T expm1_imp(T x, const std::integral_constant<int, 64>&, const P& pol) } template <class T, class P> -T expm1_imp(T x, const std::integral_constant<int, 113>&, const P& pol) +BOOST_MATH_GPU_ENABLED T expm1_imp(T x, const boost::math::integral_constant<int, 113>&, const P& pol) { BOOST_MATH_STD_USING @@ -259,7 +265,7 @@ T expm1_imp(T x, const std::integral_constant<int, 113>&, const P& pol) } // namespace detail template <class T, class Policy> -inline typename tools::promote_args<T>::type expm1(T x, const Policy& /* pol */) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type expm1(T x, const Policy& /* pol */) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -271,7 +277,7 @@ inline typename tools::promote_args<T>::type expm1(T x, const Policy& /* pol */) policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - typedef std::integral_constant<int, + typedef boost::math::integral_constant<int, precision_type::value <= 0 ? 0 : precision_type::value <= 53 ? 53 : precision_type::value <= 64 ? 64 : @@ -294,18 +300,18 @@ inline typename tools::promote_args<T>::type expm1(T x, const Policy& /* pol */) #if defined(BOOST_HAS_EXPM1) && !(defined(__osf__) && defined(__DECCXX_VER)) # ifdef BOOST_MATH_USE_C99 -inline float expm1(float x, const policies::policy<>&){ return ::expm1f(x); } +BOOST_MATH_GPU_ENABLED inline float expm1(float x, const policies::policy<>&){ return ::expm1f(x); } # ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS inline long double expm1(long double x, const policies::policy<>&){ return ::expm1l(x); } # endif # else inline float expm1(float x, const policies::policy<>&){ return static_cast<float>(::expm1(x)); } # endif -inline double expm1(double x, const policies::policy<>&){ return ::expm1(x); } +BOOST_MATH_GPU_ENABLED inline double expm1(double x, const policies::policy<>&){ return ::expm1(x); } #endif template <class T> -inline typename tools::promote_args<T>::type expm1(T x) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type expm1(T x) { return expm1(x, policies::policy<>()); } @@ -313,6 +319,40 @@ inline typename tools::promote_args<T>::type expm1(T x) } // namespace math } // namespace boost +#else // Special handling for NVRTC + +namespace boost { +namespace math { + +template <typename T> +BOOST_MATH_GPU_ENABLED auto expm1(T x) +{ + return ::expm1(x); +} + +template <> +BOOST_MATH_GPU_ENABLED auto expm1(float x) +{ + return ::expm1f(x); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED auto expm1(T x, const Policy&) +{ + return ::expm1(x); +} + +template <typename Policy> +BOOST_MATH_GPU_ENABLED auto expm1(float x, const Policy&) +{ + return ::expm1f(x); +} + +} // Namespace math +} // Namespace boost + +#endif // BOOST_MATH_HAS_NVRTC + #endif // BOOST_MATH_HYPOT_INCLUDED diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/factorials.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/factorials.hpp index 7229635cb9..ec6978bdc5 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/factorials.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/factorials.hpp @@ -10,10 +10,14 @@ #pragma once #endif -#include <boost/math/special_functions/math_fwd.hpp> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/precision.hpp> +#include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/gamma.hpp> #include <boost/math/special_functions/detail/unchecked_factorial.hpp> -#include <array> +#include <boost/math/special_functions/math_fwd.hpp> + #ifdef _MSC_VER #pragma warning(push) // Temporary until lexical cast fixed. #pragma warning(disable: 4127 4701) @@ -21,16 +25,14 @@ #ifdef _MSC_VER #pragma warning(pop) #endif -#include <type_traits> -#include <cmath> namespace boost { namespace math { template <class T, class Policy> -inline T factorial(unsigned i, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T factorial(unsigned i, const Policy& pol) { - static_assert(!std::is_integral<T>::value, "Type T must not be an integral type"); + static_assert(!boost::math::is_integral<T>::value, "Type T must not be an integral type"); // factorial<unsigned int>(n) is not implemented // because it would overflow integral type T for too small n // to be useful. Use instead a floating-point type, @@ -49,7 +51,7 @@ inline T factorial(unsigned i, const Policy& pol) } template <class T> -inline T factorial(unsigned i) +BOOST_MATH_GPU_ENABLED inline T factorial(unsigned i) { return factorial<T>(i, policies::policy<>()); } @@ -72,9 +74,9 @@ inline double factorial<double>(unsigned i) } */ template <class T, class Policy> -T double_factorial(unsigned i, const Policy& pol) +BOOST_MATH_GPU_ENABLED T double_factorial(unsigned i, const Policy& pol) { - static_assert(!std::is_integral<T>::value, "Type T must not be an integral type"); + static_assert(!boost::math::is_integral<T>::value, "Type T must not be an integral type"); BOOST_MATH_STD_USING // ADL lookup of std names if(i & 1) { @@ -107,17 +109,20 @@ T double_factorial(unsigned i, const Policy& pol) } template <class T> -inline T double_factorial(unsigned i) +BOOST_MATH_GPU_ENABLED inline T double_factorial(unsigned i) { return double_factorial<T>(i, policies::policy<>()); } +// TODO(mborland): We do not currently have support for tgamma_delta_ratio +#ifndef BOOST_MATH_HAS_GPU_SUPPORT + namespace detail{ template <class T, class Policy> T rising_factorial_imp(T x, int n, const Policy& pol) { - static_assert(!std::is_integral<T>::value, "Type T must not be an integral type"); + static_assert(!boost::math::is_integral<T>::value, "Type T must not be an integral type"); if(x < 0) { // @@ -165,7 +170,7 @@ T rising_factorial_imp(T x, int n, const Policy& pol) template <class T, class Policy> inline T falling_factorial_imp(T x, unsigned n, const Policy& pol) { - static_assert(!std::is_integral<T>::value, "Type T must not be an integral type"); + static_assert(!boost::math::is_integral<T>::value, "Type T must not be an integral type"); BOOST_MATH_STD_USING // ADL of std names if(x == 0) return 0; @@ -262,6 +267,8 @@ inline typename tools::promote_args<RT>::type static_cast<result_type>(x), n, pol); } +#endif // BOOST_MATH_HAS_GPU_SUPPORT + } // namespace math } // namespace boost diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/fpclassify.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/fpclassify.hpp index 2c504d7ac8..0ac9470f28 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/fpclassify.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/fpclassify.hpp @@ -1,5 +1,6 @@ // Copyright John Maddock 2005-2008. // Copyright (c) 2006-2008 Johan Rade +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -11,12 +12,17 @@ #pragma once #endif -#include <limits> -#include <type_traits> -#include <cmath> +#include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <boost/math/tools/real_cast.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/detail/fp_traits.hpp> +#include <limits> +#include <type_traits> +#include <cmath> + /*! \file fpclassify.hpp \brief Classify floating-point value as normal, subnormal, zero, infinite, or NaN. @@ -76,6 +82,80 @@ is used. */ +#ifdef BOOST_MATH_HAS_GPU_SUPPORT + +namespace boost { namespace math { + +template<> inline BOOST_MATH_GPU_ENABLED bool (isnan)(float x) { return x != x; } +template<> inline BOOST_MATH_GPU_ENABLED bool (isnan)(double x) { return x != x; } + +template<> inline BOOST_MATH_GPU_ENABLED bool (isinf)(float x) { return x > FLT_MAX || x < -FLT_MAX; } +template<> inline BOOST_MATH_GPU_ENABLED bool (isinf)(double x) { return x > DBL_MAX || x < -DBL_MAX; } + +template<> inline BOOST_MATH_GPU_ENABLED bool (isfinite)(float x) { return !isnan(x) && !isinf(x); } +template<> inline BOOST_MATH_GPU_ENABLED bool (isfinite)(double x) { return !isnan(x) && !isinf(x); } + +template<> inline BOOST_MATH_GPU_ENABLED bool (isnormal)(float x) +{ + if(x < 0) x = -x; + return (x >= FLT_MIN) && (x <= FLT_MAX); +} +template<> inline BOOST_MATH_GPU_ENABLED bool (isnormal)(double x) +{ + if(x < 0) x = -x; + return (x >= DBL_MIN) && (x <= DBL_MAX); +} + +template<> inline BOOST_MATH_GPU_ENABLED int (fpclassify)(float t) +{ + if((boost::math::isnan)(t)) + return FP_NAN; + // std::fabs broken on a few systems especially for long long!!!! + float at = (t < 0.0f) ? -t : t; + + // Use a process of exclusion to figure out + // what kind of type we have, this relies on + // IEEE conforming reals that will treat + // Nan's as unordered. Some compilers + // don't do this once optimisations are + // turned on, hence the check for nan's above. + if(at <= FLT_MAX) + { + if(at >= FLT_MIN) + return FP_NORMAL; + return (at != 0) ? FP_SUBNORMAL : FP_ZERO; + } + else if(at > FLT_MAX) + return FP_INFINITE; + return FP_NAN; +} + +template<> inline BOOST_MATH_GPU_ENABLED int (fpclassify)(double t) +{ + if((boost::math::isnan)(t)) + return FP_NAN; + // std::fabs broken on a few systems especially for long long!!!! + double at = (t < 0.0) ? -t : t; + + // Use a process of exclusion to figure out + // what kind of type we have, this relies on + // IEEE conforming reals that will treat + // Nan's as unordered. Some compilers + // don't do this once optimisations are + // turned on, hence the check for nan's above. + if(at <= DBL_MAX) + { + if(at >= DBL_MIN) + return FP_NORMAL; + return (at != 0) ? FP_SUBNORMAL : FP_ZERO; + } + else if(at > DBL_MAX) + return FP_INFINITE; + return FP_NAN; +} + +#else + #if defined(_MSC_VER) || defined(BOOST_BORLANDC) #include <cfloat> #endif @@ -632,7 +712,86 @@ inline bool (isnan)(__float128 x) } #endif +#endif + } // namespace math } // namespace boost + +#else // Special handling generally using the CUDA library + +#include <boost/math/tools/type_traits.hpp> + +namespace boost { +namespace math { + +template <typename T, boost::math::enable_if_t<boost::math::is_integral_v<T>, bool> = true> +inline BOOST_MATH_GPU_ENABLED bool isnan(T x) +{ + return false; +} + +template <typename T, boost::math::enable_if_t<!boost::math::is_integral_v<T>, bool> = true> +inline BOOST_MATH_GPU_ENABLED bool isnan(T x) +{ + return ::isnan(x); +} + +template <typename T, boost::math::enable_if_t<boost::math::is_integral_v<T>, bool> = true> +inline BOOST_MATH_GPU_ENABLED bool isinf(T x) +{ + return false; +} + +template <typename T, boost::math::enable_if_t<!boost::math::is_integral_v<T>, bool> = true> +inline BOOST_MATH_GPU_ENABLED bool isinf(T x) +{ + return ::isinf(x); +} + +template <typename T, boost::math::enable_if_t<boost::math::is_integral_v<T>, bool> = true> +inline BOOST_MATH_GPU_ENABLED bool isfinite(T x) +{ + return true; +} + +template <typename T, boost::math::enable_if_t<!boost::math::is_integral_v<T>, bool> = true> +inline BOOST_MATH_GPU_ENABLED bool isfinite(T x) +{ + return ::isfinite(x); +} + +template <typename T> +inline BOOST_MATH_GPU_ENABLED bool isnormal(T x) +{ + return x != static_cast<T>(0) && x != static_cast<T>(-0) && + !boost::math::isnan(x) && + !boost::math::isinf(x); +} + +// We skip the check for FP_SUBNORMAL since they are not supported on these platforms +template <typename T> +inline BOOST_MATH_GPU_ENABLED int fpclassify(T x) +{ + if (boost::math::isnan(x)) + { + return BOOST_MATH_FP_NAN; + } + else if (boost::math::isinf(x)) + { + return BOOST_MATH_FP_INFINITE; + } + else if (x == static_cast<T>(0) || x == static_cast<T>(-0)) + { + return BOOST_MATH_FP_ZERO; + } + + return BOOST_MATH_FP_NORMAL; +} + +} // Namespace math +} // Namespace boost + +#endif // BOOST_MATH_HAS_NVRTC + #endif // BOOST_MATH_FPCLASSIFY_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/gamma.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/gamma.hpp index a58ea3e693..4a15782c01 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/gamma.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/gamma.hpp @@ -2,7 +2,7 @@ // Copyright Paul A. Bristow 2007, 2013-14. // Copyright Nikhar Agrawal 2013-14 // Copyright Christopher Kormanyos 2013-14, 2020, 2024 - +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -14,12 +14,15 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> #include <boost/math/tools/series.hpp> #include <boost/math/tools/fraction.hpp> #include <boost/math/tools/precision.hpp> #include <boost/math/tools/promotion.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/cstdint.hpp> #include <boost/math/tools/assert.hpp> -#include <boost/math/tools/config.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/constants/constants.hpp> #include <boost/math/special_functions/math_fwd.hpp> @@ -32,12 +35,12 @@ #include <boost/math/special_functions/detail/igamma_large.hpp> #include <boost/math/special_functions/detail/unchecked_factorial.hpp> #include <boost/math/special_functions/detail/lgamma_small.hpp> + +// Only needed for types larger than double +#ifndef BOOST_MATH_HAS_GPU_SUPPORT #include <boost/math/special_functions/bernoulli.hpp> #include <boost/math/special_functions/polygamma.hpp> - -#include <cmath> -#include <algorithm> -#include <type_traits> +#endif #ifdef _MSC_VER # pragma warning(push) @@ -56,13 +59,13 @@ namespace boost{ namespace math{ namespace detail{ template <class T> -inline bool is_odd(T v, const std::true_type&) +BOOST_MATH_GPU_ENABLED inline bool is_odd(T v, const boost::math::true_type&) { int i = static_cast<int>(v); return i&1; } template <class T> -inline bool is_odd(T v, const std::false_type&) +BOOST_MATH_GPU_ENABLED inline bool is_odd(T v, const boost::math::false_type&) { // Oh dear can't cast T to int! BOOST_MATH_STD_USING @@ -70,13 +73,13 @@ inline bool is_odd(T v, const std::false_type&) return static_cast<bool>(modulus != 0); } template <class T> -inline bool is_odd(T v) +BOOST_MATH_GPU_ENABLED inline bool is_odd(T v) { - return is_odd(v, ::std::is_convertible<T, int>()); + return is_odd(v, ::boost::math::is_convertible<T, int>()); } template <class T> -T sinpx(T z) +BOOST_MATH_GPU_ENABLED T sinpx(T z) { // Ad hoc function calculates x * sin(pi * x), // taking extra care near when x is near a whole number. @@ -108,7 +111,7 @@ T sinpx(T z) // tgamma(z), with Lanczos support: // template <class T, class Policy, class Lanczos> -T gamma_imp(T z, const Policy& pol, const Lanczos& l) +BOOST_MATH_GPU_ENABLED T gamma_imp_final(T z, const Policy& pol, const Lanczos&) { BOOST_MATH_STD_USING @@ -122,25 +125,13 @@ T gamma_imp(T z, const Policy& pol, const Lanczos& l) b = true; } #endif - static const char* function = "boost::math::tgamma<%1%>(%1%)"; + constexpr auto function = "boost::math::tgamma<%1%>(%1%)"; if(z <= 0) { if(floor(z) == z) - return policies::raise_pole_error<T>(function, "Evaluation of tgamma at a negative integer %1%.", z, pol); - if(z <= -20) { - result = gamma_imp(T(-z), pol, l) * sinpx(z); - BOOST_MATH_INSTRUMENT_VARIABLE(result); - if((fabs(result) < 1) && (tools::max_value<T>() * fabs(result) < boost::math::constants::pi<T>())) - return -boost::math::sign(result) * policies::raise_overflow_error<T>(function, "Result of tgamma is too large to represent.", pol); - result = -boost::math::constants::pi<T>() / result; - if(result == 0) - return policies::raise_underflow_error<T>(function, "Result of tgamma is too small to represent.", pol); - if((boost::math::fpclassify)(result) == (int)FP_SUBNORMAL) - return policies::raise_denorm_error<T>(function, "Result of tgamma is denormalized.", result, pol); - BOOST_MATH_INSTRUMENT_VARIABLE(result); - return result; + return policies::raise_pole_error<T>(function, "Evaluation of tgamma at a negative integer %1%.", z, pol); } // shift z to > 1: @@ -195,11 +186,52 @@ T gamma_imp(T z, const Policy& pol, const Lanczos& l) } return result; } + +#ifdef BOOST_MATH_ENABLE_CUDA +# pragma nv_diag_suppress 2190 +#endif + +// SYCL compilers can not support recursion so we extract it into a dispatch function +template <class T, class Policy, class Lanczos> +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T gamma_imp(T z, const Policy& pol, const Lanczos& l) +{ + BOOST_MATH_STD_USING + + T result = 1; + constexpr auto function = "boost::math::tgamma<%1%>(%1%)"; + + if(z <= 0) + { + if(floor(z) == z) + return policies::raise_pole_error<T>(function, "Evaluation of tgamma at a negative integer %1%.", z, pol); + if(z <= -20) + { + result = gamma_imp_final(T(-z), pol, l) * sinpx(z); + BOOST_MATH_INSTRUMENT_VARIABLE(result); + if((fabs(result) < 1) && (tools::max_value<T>() * fabs(result) < boost::math::constants::pi<T>())) + return -boost::math::sign(result) * policies::raise_overflow_error<T>(function, "Result of tgamma is too large to represent.", pol); + result = -boost::math::constants::pi<T>() / result; + if(result == 0) + return policies::raise_underflow_error<T>(function, "Result of tgamma is too small to represent.", pol); + if((boost::math::fpclassify)(result) == BOOST_MATH_FP_SUBNORMAL) + return policies::raise_denorm_error<T>(function, "Result of tgamma is denormalized.", result, pol); + BOOST_MATH_INSTRUMENT_VARIABLE(result); + return result; + } + } + + return gamma_imp_final(T(z), pol, l); +} + +#ifdef BOOST_MATH_ENABLE_CUDA +# pragma nv_diag_default 2190 +#endif + // // lgamma(z) with Lanczos support: // template <class T, class Policy, class Lanczos> -T lgamma_imp(T z, const Policy& pol, const Lanczos& l, int* sign = nullptr) +BOOST_MATH_GPU_ENABLED T lgamma_imp_final(T z, const Policy& pol, const Lanczos& l, int* sign = nullptr) { #ifdef BOOST_MATH_INSTRUMENT static bool b = false; @@ -212,29 +244,12 @@ T lgamma_imp(T z, const Policy& pol, const Lanczos& l, int* sign = nullptr) BOOST_MATH_STD_USING - static const char* function = "boost::math::lgamma<%1%>(%1%)"; + constexpr auto function = "boost::math::lgamma<%1%>(%1%)"; T result = 0; int sresult = 1; - if(z <= -tools::root_epsilon<T>()) - { - // reflection formula: - if(floor(z) == z) - return policies::raise_pole_error<T>(function, "Evaluation of lgamma at a negative integer %1%.", z, pol); - - T t = sinpx(z); - z = -z; - if(t < 0) - { - t = -t; - } - else - { - sresult = -sresult; - } - result = log(boost::math::constants::pi<T>()) - lgamma_imp(z, pol, l) - log(t); - } - else if (z < tools::root_epsilon<T>()) + + if (z < tools::root_epsilon<T>()) { if (0 == z) return policies::raise_pole_error<T>(function, "Evaluation of lgamma at %1%.", z, pol); @@ -248,7 +263,7 @@ T lgamma_imp(T z, const Policy& pol, const Lanczos& l, int* sign = nullptr) else if(z < 15) { typedef typename policies::precision<T, Policy>::type precision_type; - typedef std::integral_constant<int, + typedef boost::math::integral_constant<int, precision_type::value <= 0 ? 0 : precision_type::value <= 64 ? 64 : precision_type::value <= 113 ? 113 : 0 @@ -256,7 +271,7 @@ T lgamma_imp(T z, const Policy& pol, const Lanczos& l, int* sign = nullptr) result = lgamma_small_imp<T>(z, T(z - 1), T(z - 2), tag_type(), pol, l); } - else if((z >= 3) && (z < 100) && (std::numeric_limits<T>::max_exponent >= 1024)) + else if((z >= 3) && (z < 100) && (boost::math::numeric_limits<T>::max_exponent >= 1024)) { // taking the log of tgamma reduces the error, no danger of overflow here: result = log(gamma_imp(z, pol, l)); @@ -279,6 +294,55 @@ T lgamma_imp(T z, const Policy& pol, const Lanczos& l, int* sign = nullptr) return result; } +#ifdef BOOST_MATH_ENABLE_CUDA +# pragma nv_diag_suppress 2190 +#endif + +template <class T, class Policy, class Lanczos> +BOOST_MATH_GPU_ENABLED BOOST_MATH_FORCEINLINE T lgamma_imp(T z, const Policy& pol, const Lanczos& l, int* sign = nullptr) +{ + BOOST_MATH_STD_USING + + if(z <= -tools::root_epsilon<T>()) + { + constexpr auto function = "boost::math::lgamma<%1%>(%1%)"; + + T result = 0; + int sresult = 1; + + // reflection formula: + if(floor(z) == z) + return policies::raise_pole_error<T>(function, "Evaluation of lgamma at a negative integer %1%.", z, pol); + + T t = sinpx(z); + z = -z; + if(t < 0) + { + t = -t; + } + else + { + sresult = -sresult; + } + result = log(boost::math::constants::pi<T>()) - lgamma_imp_final(T(z), pol, l) - log(t); + + if(sign) + { + *sign = sresult; + } + + return result; + } + else + { + return lgamma_imp_final(T(z), pol, l, sign); + } +} + +#ifdef BOOST_MATH_ENABLE_CUDA +# pragma nv_diag_default 2190 +#endif + // // Incomplete gamma functions follow: // @@ -289,14 +353,14 @@ private: T z, a; int k; public: - typedef std::pair<T,T> result_type; + typedef boost::math::pair<T,T> result_type; - upper_incomplete_gamma_fract(T a1, T z1) + BOOST_MATH_GPU_ENABLED upper_incomplete_gamma_fract(T a1, T z1) : z(z1-a1+1), a(a1), k(0) { } - result_type operator()() + BOOST_MATH_GPU_ENABLED result_type operator()() { ++k; z += 2; @@ -305,7 +369,7 @@ public: }; template <class T> -inline T upper_gamma_fraction(T a, T z, T eps) +BOOST_MATH_GPU_ENABLED inline T upper_gamma_fraction(T a, T z, T eps) { // Multiply result by z^a * e^-z to get the full // upper incomplete integral. Divide by tgamma(z) @@ -321,9 +385,9 @@ private: T a, z, result; public: typedef T result_type; - lower_incomplete_gamma_series(T a1, T z1) : a(a1), z(z1), result(1){} + BOOST_MATH_GPU_ENABLED lower_incomplete_gamma_series(T a1, T z1) : a(a1), z(z1), result(1){} - T operator()() + BOOST_MATH_GPU_ENABLED T operator()() { T r = result; a += 1; @@ -333,32 +397,34 @@ public: }; template <class T, class Policy> -inline T lower_gamma_series(T a, T z, const Policy& pol, T init_value = 0) +BOOST_MATH_GPU_ENABLED inline T lower_gamma_series(T a, T z, const Policy& pol, T init_value = 0) { // Multiply result by ((z^a) * (e^-z) / a) to get the full // lower incomplete integral. Then divide by tgamma(a) // to get the normalised value. lower_incomplete_gamma_series<T> s(a, z); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T factor = policies::get_epsilon<T, Policy>(); T result = boost::math::tools::sum_series(s, factor, max_iter, init_value); policies::check_series_iterations<T>("boost::math::detail::lower_gamma_series<%1%>(%1%)", max_iter, pol); return result; } +#ifndef BOOST_MATH_HAS_GPU_SUPPORT + // // Fully generic tgamma and lgamma use Stirling's approximation // with Bernoulli numbers. // template<class T> -std::size_t highest_bernoulli_index() +boost::math::size_t highest_bernoulli_index() { - const float digits10_of_type = (std::numeric_limits<T>::is_specialized - ? static_cast<float>(std::numeric_limits<T>::digits10) + const float digits10_of_type = (boost::math::numeric_limits<T>::is_specialized + ? static_cast<float>(boost::math::numeric_limits<T>::digits10) : static_cast<float>(boost::math::tools::digits<T>() * 0.301F)); // Find the high index n for Bn to produce the desired precision in Stirling's calculation. - return static_cast<std::size_t>(18.0F + (0.6F * digits10_of_type)); + return static_cast<boost::math::size_t>(18.0F + (0.6F * digits10_of_type)); } template<class T> @@ -366,8 +432,8 @@ int minimum_argument_for_bernoulli_recursion() { BOOST_MATH_STD_USING - const float digits10_of_type = (std::numeric_limits<T>::is_specialized - ? (float) std::numeric_limits<T>::digits10 + const float digits10_of_type = (boost::math::numeric_limits<T>::is_specialized + ? (float) boost::math::numeric_limits<T>::digits10 : (float) (boost::math::tools::digits<T>() * 0.301F)); int min_arg = (int) (digits10_of_type * 1.7F); @@ -389,7 +455,7 @@ int minimum_argument_for_bernoulli_recursion() const float d2_minus_one = ((digits10_of_type / 0.301F) - 1.0F); const float limit = ceil(exp((d2_minus_one * log(2.0F)) / 20.0F)); - min_arg = (int) ((std::min)(digits10_of_type * 1.7F, limit)); + min_arg = (int) (BOOST_MATH_GPU_SAFE_MIN(digits10_of_type * 1.7F, limit)); } return min_arg; @@ -408,7 +474,7 @@ T scaled_tgamma_no_lanczos(const T& z, const Policy& pol, bool islog = false) // Perform the Bernoulli series expansion of Stirling's approximation. - const std::size_t number_of_bernoullis_b2n = policies::get_max_series_iterations<Policy>(); + const boost::math::size_t number_of_bernoullis_b2n = policies::get_max_series_iterations<Policy>(); T one_over_x_pow_two_n_minus_one = 1 / z; const T one_over_x2 = one_over_x_pow_two_n_minus_one * one_over_x_pow_two_n_minus_one; @@ -417,11 +483,11 @@ T scaled_tgamma_no_lanczos(const T& z, const Policy& pol, bool islog = false) const T half_ln_two_pi_over_z = sqrt(boost::math::constants::two_pi<T>() / z); T last_term = 2 * sum; - for (std::size_t n = 2U;; ++n) + for (boost::math::size_t n = 2U;; ++n) { one_over_x_pow_two_n_minus_one *= one_over_x2; - const std::size_t n2 = static_cast<std::size_t>(n * 2U); + const boost::math::size_t n2 = static_cast<boost::math::size_t>(n * 2U); const T term = (boost::math::bernoulli_b2n<T>(static_cast<int>(n)) * one_over_x_pow_two_n_minus_one) / (n2 * (n2 - 1U)); @@ -460,7 +526,7 @@ T gamma_imp(T z, const Policy& pol, const lanczos::undefined_lanczos&) { BOOST_MATH_STD_USING - static const char* function = "boost::math::tgamma<%1%>(%1%)"; + constexpr auto function = "boost::math::tgamma<%1%>(%1%)"; // Check if the argument of tgamma is identically zero. const bool is_at_zero = (z == 0); @@ -569,7 +635,7 @@ T gamma_imp(T z, const Policy& pol, const lanczos::undefined_lanczos&) if(gamma_value == 0) return policies::raise_underflow_error<T>(function, "Result of tgamma is too small to represent.", pol); - if((boost::math::fpclassify)(gamma_value) == static_cast<int>(FP_SUBNORMAL)) + if((boost::math::fpclassify)(gamma_value) == static_cast<int>(BOOST_MATH_FP_SUBNORMAL)) return policies::raise_denorm_error<T>(function, "Result of tgamma is denormalized.", gamma_value, pol); } @@ -610,7 +676,7 @@ T lgamma_imp(T z, const Policy& pol, const lanczos::undefined_lanczos&, int* sig { BOOST_MATH_STD_USING - static const char* function = "boost::math::lgamma<%1%>(%1%)"; + constexpr auto function = "boost::math::lgamma<%1%>(%1%)"; // Check if the argument of lgamma is identically zero. const bool is_at_zero = (z == 0); @@ -715,18 +781,33 @@ T lgamma_imp(T z, const Policy& pol, const lanczos::undefined_lanczos&, int* sig return log_gamma_value; } +#endif // BOOST_MATH_HAS_GPU_SUPPORT + +// In order for tgammap1m1_imp to compile we need a forward decl of boost::math::tgamma +// The rub is that we can't just use math_fwd so we provide one here only in that circumstance +#ifdef BOOST_MATH_HAS_NVRTC +template <class RT> +BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> tgamma(RT z); + +template <class RT1, class RT2> +BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2> tgamma(RT1 a, RT2 z); + +template <class RT1, class RT2, class Policy> +BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2> tgamma(RT1 a, RT2 z, const Policy& pol); +#endif + // // This helper calculates tgamma(dz+1)-1 without cancellation errors, // used by the upper incomplete gamma with z < 1: // template <class T, class Policy, class Lanczos> -T tgammap1m1_imp(T dz, Policy const& pol, const Lanczos& l) +BOOST_MATH_GPU_ENABLED T tgammap1m1_imp(T dz, Policy const& pol, const Lanczos& l) { BOOST_MATH_STD_USING typedef typename policies::precision<T,Policy>::type precision_type; - typedef std::integral_constant<int, + typedef boost::math::integral_constant<int, precision_type::value <= 0 ? 0 : precision_type::value <= 64 ? 64 : precision_type::value <= 113 ? 113 : 0 @@ -738,7 +819,11 @@ T tgammap1m1_imp(T dz, Policy const& pol, const Lanczos& l) if(dz < T(-0.5)) { // Best method is simply to subtract 1 from tgamma: + #ifdef BOOST_MATH_HAS_NVRTC + result = ::tgamma(1+dz); + #else result = boost::math::tgamma(1+dz, pol) - 1; + #endif BOOST_MATH_INSTRUMENT_CODE(result); } else @@ -760,7 +845,11 @@ T tgammap1m1_imp(T dz, Policy const& pol, const Lanczos& l) else { // Best method is simply to subtract 1 from tgamma: + #ifdef BOOST_MATH_HAS_NVRTC + result = ::tgamma(1+dz); + #else result = boost::math::tgamma(1+dz, pol) - 1; + #endif BOOST_MATH_INSTRUMENT_CODE(result); } } @@ -768,6 +857,8 @@ T tgammap1m1_imp(T dz, Policy const& pol, const Lanczos& l) return result; } +#ifndef BOOST_MATH_HAS_GPU_SUPPORT + template <class T, class Policy> inline T tgammap1m1_imp(T z, Policy const& pol, const ::boost::math::lanczos::undefined_lanczos&) @@ -781,6 +872,8 @@ inline T tgammap1m1_imp(T z, Policy const& pol, return boost::math::expm1(boost::math::lgamma(1 + z, pol)); } +#endif // BOOST_MATH_HAS_GPU_SUPPORT + // // Series representation for upper fraction when z is small: // @@ -789,9 +882,9 @@ struct small_gamma2_series { typedef T result_type; - small_gamma2_series(T a_, T x_) : result(-x_), x(-x_), apn(a_+1), n(1){} + BOOST_MATH_GPU_ENABLED small_gamma2_series(T a_, T x_) : result(-x_), x(-x_), apn(a_+1), n(1){} - T operator()() + BOOST_MATH_GPU_ENABLED T operator()() { T r = result / (apn); result *= x; @@ -809,7 +902,7 @@ private: // incomplete gammas: // template <class T, class Policy> -T full_igamma_prefix(T a, T z, const Policy& pol) +BOOST_MATH_GPU_ENABLED T full_igamma_prefix(T a, T z, const Policy& pol) { BOOST_MATH_STD_USING @@ -854,7 +947,7 @@ T full_igamma_prefix(T a, T z, const Policy& pol) // This error handling isn't very good: it happens after the fact // rather than before it... // - if((boost::math::fpclassify)(prefix) == (int)FP_INFINITE) + if((boost::math::fpclassify)(prefix) == (int)BOOST_MATH_FP_INFINITE) return policies::raise_overflow_error<T>("boost::math::detail::full_igamma_prefix<%1%>(%1%, %1%)", "Result of incomplete gamma function is too large to represent.", pol); return prefix; @@ -864,7 +957,7 @@ T full_igamma_prefix(T a, T z, const Policy& pol) // most if the error occurs in this function: // template <class T, class Policy, class Lanczos> -T regularised_gamma_prefix(T a, T z, const Policy& pol, const Lanczos& l) +BOOST_MATH_GPU_ENABLED T regularised_gamma_prefix(T a, T z, const Policy& pol, const Lanczos& l) { BOOST_MATH_STD_USING if (z >= tools::max_value<T>()) @@ -911,16 +1004,16 @@ T regularised_gamma_prefix(T a, T z, const Policy& pol, const Lanczos& l) // T alz = a * log(z / agh); T amz = a - z; - if(((std::min)(alz, amz) <= tools::log_min_value<T>()) || ((std::max)(alz, amz) >= tools::log_max_value<T>())) + if((BOOST_MATH_GPU_SAFE_MIN(alz, amz) <= tools::log_min_value<T>()) || (BOOST_MATH_GPU_SAFE_MAX(alz, amz) >= tools::log_max_value<T>())) { T amza = amz / a; - if(((std::min)(alz, amz)/2 > tools::log_min_value<T>()) && ((std::max)(alz, amz)/2 < tools::log_max_value<T>())) + if((BOOST_MATH_GPU_SAFE_MIN(alz, amz)/2 > tools::log_min_value<T>()) && (BOOST_MATH_GPU_SAFE_MAX(alz, amz)/2 < tools::log_max_value<T>())) { // compute square root of the result and then square it: T sq = pow(z / agh, a / 2) * exp(amz / 2); prefix = sq * sq; } - else if(((std::min)(alz, amz)/4 > tools::log_min_value<T>()) && ((std::max)(alz, amz)/4 < tools::log_max_value<T>()) && (z > a)) + else if((BOOST_MATH_GPU_SAFE_MIN(alz, amz)/4 > tools::log_min_value<T>()) && (BOOST_MATH_GPU_SAFE_MAX(alz, amz)/4 < tools::log_max_value<T>()) && (z > a)) { // compute the 4th root of the result then square it twice: T sq = pow(z / agh, a / 4) * exp(amz / 4); @@ -944,6 +1037,9 @@ T regularised_gamma_prefix(T a, T z, const Policy& pol, const Lanczos& l) prefix *= sqrt(agh / boost::math::constants::e<T>()) / Lanczos::lanczos_sum_expG_scaled(a); return prefix; } + +#ifndef BOOST_MATH_HAS_GPU_SUPPORT + // // And again, without Lanczos support: // @@ -1013,18 +1109,28 @@ T regularised_gamma_prefix(T a, T z, const Policy& pol, const lanczos::undefined } } } + +#endif // BOOST_MATH_HAS_GPU_SUPPORT + // // Upper gamma fraction for very small a: // template <class T, class Policy> -inline T tgamma_small_upper_part(T a, T x, const Policy& pol, T* pgam = 0, bool invert = false, T* pderivative = 0) +BOOST_MATH_GPU_ENABLED inline T tgamma_small_upper_part(T a, T x, const Policy& pol, T* pgam = 0, bool invert = false, T* pderivative = 0) { BOOST_MATH_STD_USING // ADL of std functions. // // Compute the full upper fraction (Q) when a is very small: // + #ifdef BOOST_MATH_HAS_NVRTC + typedef typename tools::promote_args<T>::type result_type; + typedef typename policies::evaluation<result_type, Policy>::type value_type; + typedef typename lanczos::lanczos<value_type, Policy>::type evaluation_type; + T result {detail::tgammap1m1_imp(static_cast<value_type>(a), pol, evaluation_type())}; + #else T result { boost::math::tgamma1pm1(a, pol) }; + #endif if(pgam) *pgam = (result + 1) / a; @@ -1032,7 +1138,7 @@ inline T tgamma_small_upper_part(T a, T x, const Policy& pol, T* pgam = 0, bool result -= p; result /= a; detail::small_gamma2_series<T> s(a, x); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>() - 10; + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>() - 10; p += 1; if(pderivative) *pderivative = p / (*pgam * exp(x)); @@ -1047,7 +1153,7 @@ inline T tgamma_small_upper_part(T a, T x, const Policy& pol, T* pgam = 0, bool // Upper gamma fraction for integer a: // template <class T, class Policy> -inline T finite_gamma_q(T a, T x, Policy const& pol, T* pderivative = 0) +BOOST_MATH_GPU_ENABLED inline T finite_gamma_q(T a, T x, Policy const& pol, T* pderivative = 0) { // // Calculates normalised Q when a is an integer: @@ -1075,13 +1181,27 @@ inline T finite_gamma_q(T a, T x, Policy const& pol, T* pderivative = 0) // Upper gamma fraction for half integer a: // template <class T, class Policy> -T finite_half_gamma_q(T a, T x, T* p_derivative, const Policy& pol) +BOOST_MATH_GPU_ENABLED T finite_half_gamma_q(T a, T x, T* p_derivative, const Policy& pol) { // // Calculates normalised Q when a is a half-integer: // BOOST_MATH_STD_USING + + #ifdef BOOST_MATH_HAS_NVRTC + T e; + if (boost::math::is_same_v<T, float>) + { + e = ::erfcf(::sqrtf(x)); + } + else + { + e = ::erfc(::sqrt(x)); + } + #else T e = boost::math::erfc(sqrt(x), pol); + #endif + if((e != 0) && (a > 1)) { T term = exp(-x) / sqrt(constants::pi<T>() * x); @@ -1115,9 +1235,9 @@ template <class T> struct incomplete_tgamma_large_x_series { typedef T result_type; - incomplete_tgamma_large_x_series(const T& a, const T& x) + BOOST_MATH_GPU_ENABLED incomplete_tgamma_large_x_series(const T& a, const T& x) : a_poch(a - 1), z(x), term(1) {} - T operator()() + BOOST_MATH_GPU_ENABLED T operator()() { T result = term; term *= a_poch / z; @@ -1128,11 +1248,11 @@ struct incomplete_tgamma_large_x_series }; template <class T, class Policy> -T incomplete_tgamma_large_x(const T& a, const T& x, const Policy& pol) +BOOST_MATH_GPU_ENABLED T incomplete_tgamma_large_x(const T& a, const T& x, const Policy& pol) { BOOST_MATH_STD_USING incomplete_tgamma_large_x_series<T> s(a, x); - std::uintmax_t max_iter = boost::math::policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = boost::math::policies::get_max_series_iterations<Policy>(); T result = boost::math::tools::sum_series(s, boost::math::policies::get_epsilon<T, Policy>(), max_iter); boost::math::policies::check_series_iterations<T>("boost::math::tgamma<%1%>(%1%,%1%)", max_iter, pol); return result; @@ -1143,10 +1263,10 @@ T incomplete_tgamma_large_x(const T& a, const T& x, const Policy& pol) // Main incomplete gamma entry point, handles all four incomplete gamma's: // template <class T, class Policy> -T gamma_incomplete_imp(T a, T x, bool normalised, bool invert, +BOOST_MATH_GPU_ENABLED T gamma_incomplete_imp_final(T a, T x, bool normalised, bool invert, const Policy& pol, T* p_derivative) { - static const char* function = "boost::math::gamma_p<%1%>(%1%, %1%)"; + constexpr auto function = "boost::math::gamma_p<%1%>(%1%, %1%)"; if(a <= 0) return policies::raise_domain_error<T>(function, "Argument a to the incomplete gamma function must be greater than zero (got a=%1%).", a, pol); if(x < 0) @@ -1158,70 +1278,6 @@ T gamma_incomplete_imp(T a, T x, bool normalised, bool invert, T result = 0; // Just to avoid warning C4701: potentially uninitialized local variable 'result' used - if(a >= max_factorial<T>::value && !normalised) - { - // - // When we're computing the non-normalized incomplete gamma - // and a is large the result is rather hard to compute unless - // we use logs. There are really two options - if x is a long - // way from a in value then we can reliably use methods 2 and 4 - // below in logarithmic form and go straight to the result. - // Otherwise we let the regularized gamma take the strain - // (the result is unlikely to underflow in the central region anyway) - // and combine with lgamma in the hopes that we get a finite result. - // - if(invert && (a * 4 < x)) - { - // This is method 4 below, done in logs: - result = a * log(x) - x; - if(p_derivative) - *p_derivative = exp(result); - result += log(upper_gamma_fraction(a, x, policies::get_epsilon<T, Policy>())); - } - else if(!invert && (a > 4 * x)) - { - // This is method 2 below, done in logs: - result = a * log(x) - x; - if(p_derivative) - *p_derivative = exp(result); - T init_value = 0; - result += log(detail::lower_gamma_series(a, x, pol, init_value) / a); - } - else - { - result = gamma_incomplete_imp(a, x, true, invert, pol, p_derivative); - if(result == 0) - { - if(invert) - { - // Try http://functions.wolfram.com/06.06.06.0039.01 - result = 1 + 1 / (12 * a) + 1 / (288 * a * a); - result = log(result) - a + (a - 0.5f) * log(a) + log(boost::math::constants::root_two_pi<T>()); - if(p_derivative) - *p_derivative = exp(a * log(x) - x); - } - else - { - // This is method 2 below, done in logs, we're really outside the - // range of this method, but since the result is almost certainly - // infinite, we should probably be OK: - result = a * log(x) - x; - if(p_derivative) - *p_derivative = exp(result); - T init_value = 0; - result += log(detail::lower_gamma_series(a, x, pol, init_value) / a); - } - } - else - { - result = log(result) + boost::math::lgamma(a, pol); - } - } - if(result > tools::log_max_value<T>()) - return policies::raise_overflow_error<T>(function, nullptr, pol); - return exp(result); - } - BOOST_MATH_ASSERT((p_derivative == nullptr) || normalised); bool is_int, is_half_int; @@ -1297,7 +1353,7 @@ T gamma_incomplete_imp(T a, T x, bool normalised, bool invert, // series and continued fractions are slow to converge: // bool use_temme = false; - if(normalised && std::numeric_limits<T>::is_specialized && (a > 20)) + if(normalised && boost::math::numeric_limits<T>::is_specialized && (a > 20)) { T sigma = fabs((x-a)/a); if((a > 200) && (policies::digits<T, Policy>() <= 113)) @@ -1354,14 +1410,40 @@ T gamma_incomplete_imp(T a, T x, bool normalised, bool invert, { result = finite_gamma_q(a, x, pol, p_derivative); if(!normalised) + { + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + result *= ::tgammaf(a); + } + else + { + result *= ::tgamma(a); + } + #else result *= boost::math::tgamma(a, pol); + #endif + } break; } case 1: { result = finite_half_gamma_q(a, x, p_derivative, pol); if(!normalised) + { + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + result *= ::tgammaf(a); + } + else + { + result *= ::tgamma(a); + } + #else result *= boost::math::tgamma(a, pol); + #endif + } if(p_derivative && (*p_derivative == 0)) *p_derivative = regularised_gamma_prefix(a, x, pol, lanczos_type()); break; @@ -1390,7 +1472,19 @@ T gamma_incomplete_imp(T a, T x, bool normalised, bool invert, bool optimised_invert = false; if(invert) { + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + init_value = (normalised ? 1 : ::tgammaf(a)); + } + else + { + init_value = (normalised ? 1 : ::tgamma(a)); + } + #else init_value = (normalised ? 1 : boost::math::tgamma(a, pol)); + #endif + if(normalised || (result >= 1) || (tools::max_value<T>() * result > init_value)) { init_value /= result; @@ -1447,14 +1541,14 @@ T gamma_incomplete_imp(T a, T x, bool normalised, bool invert, // typedef typename policies::precision<T, Policy>::type precision_type; - typedef std::integral_constant<int, + typedef boost::math::integral_constant<int, precision_type::value <= 0 ? 0 : precision_type::value <= 53 ? 53 : precision_type::value <= 64 ? 64 : precision_type::value <= 113 ? 113 : 0 > tag_type; - result = igamma_temme_large(a, x, pol, static_cast<tag_type const*>(nullptr)); + result = igamma_temme_large(a, x, pol, tag_type()); if(x >= a) invert = !invert; if(p_derivative) @@ -1473,7 +1567,18 @@ T gamma_incomplete_imp(T a, T x, bool normalised, bool invert, try { #endif + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + result = ::powf(x, a) / ::tgammaf(a + 1); + } + else + { + result = ::pow(x, a) / ::tgamma(a + 1); + } + #else result = pow(x, a) / boost::math::tgamma(a + 1, pol); + #endif #ifndef BOOST_MATH_NO_EXCEPTIONS } catch (const std::overflow_error&) @@ -1505,7 +1610,19 @@ T gamma_incomplete_imp(T a, T x, bool normalised, bool invert, result = 1; if(invert) { + #ifdef BOOST_MATH_HAS_NVRTC + T gam; + if (boost::math::is_same_v<T, float>) + { + gam = normalised ? 1 : ::tgammaf(a); + } + else + { + gam = normalised ? 1 : ::tgamma(a); + } + #else T gam = normalised ? 1 : boost::math::tgamma(a, pol); + #endif result = gam - result; } if(p_derivative) @@ -1525,36 +1642,109 @@ T gamma_incomplete_imp(T a, T x, bool normalised, bool invert, return result; } -// -// Ratios of two gamma functions: -// -template <class T, class Policy, class Lanczos> -T tgamma_delta_ratio_imp_lanczos(T z, T delta, const Policy& pol, const Lanczos& l) +// Need to implement this dispatch to avoid recursion for device compilers +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED T gamma_incomplete_imp(T a, T x, bool normalised, bool invert, + const Policy& pol, T* p_derivative) { + constexpr auto function = "boost::math::gamma_p<%1%>(%1%, %1%)"; + if(a <= 0) + return policies::raise_domain_error<T>(function, "Argument a to the incomplete gamma function must be greater than zero (got a=%1%).", a, pol); + if(x < 0) + return policies::raise_domain_error<T>(function, "Argument x to the incomplete gamma function must be >= 0 (got x=%1%).", x, pol); + BOOST_MATH_STD_USING - if(z < tools::epsilon<T>()) + + + T result = 0; // Just to avoid warning C4701: potentially uninitialized local variable 'result' used + + if(a >= max_factorial<T>::value && !normalised) { // - // We get spurious numeric overflow unless we're very careful, this - // can occur either inside Lanczos::lanczos_sum(z) or in the - // final combination of terms, to avoid this, split the product up - // into 2 (or 3) parts: - // - // G(z) / G(L) = 1 / (z * G(L)) ; z < eps, L = z + delta = delta - // z * G(L) = z * G(lim) * (G(L)/G(lim)) ; lim = largest factorial + // When we're computing the non-normalized incomplete gamma + // and a is large the result is rather hard to compute unless + // we use logs. There are really two options - if x is a long + // way from a in value then we can reliably use methods 2 and 4 + // below in logarithmic form and go straight to the result. + // Otherwise we let the regularized gamma take the strain + // (the result is unlikely to underflow in the central region anyway) + // and combine with lgamma in the hopes that we get a finite result. // - if(boost::math::max_factorial<T>::value < delta) + if(invert && (a * 4 < x)) { - T ratio = tgamma_delta_ratio_imp_lanczos(delta, T(boost::math::max_factorial<T>::value - delta), pol, l); - ratio *= z; - ratio *= boost::math::unchecked_factorial<T>(boost::math::max_factorial<T>::value - 1); - return 1 / ratio; + // This is method 4 below, done in logs: + result = a * log(x) - x; + if(p_derivative) + *p_derivative = exp(result); + result += log(upper_gamma_fraction(a, x, policies::get_epsilon<T, Policy>())); + } + else if(!invert && (a > 4 * x)) + { + // This is method 2 below, done in logs: + result = a * log(x) - x; + if(p_derivative) + *p_derivative = exp(result); + T init_value = 0; + result += log(detail::lower_gamma_series(a, x, pol, init_value) / a); } else { - return 1 / (z * boost::math::tgamma(z + delta, pol)); + result = gamma_incomplete_imp_final(T(a), T(x), true, invert, pol, p_derivative); + if(result == 0) + { + if(invert) + { + // Try http://functions.wolfram.com/06.06.06.0039.01 + result = 1 + 1 / (12 * a) + 1 / (288 * a * a); + result = log(result) - a + (a - 0.5f) * log(a) + log(boost::math::constants::root_two_pi<T>()); + if(p_derivative) + *p_derivative = exp(a * log(x) - x); + } + else + { + // This is method 2 below, done in logs, we're really outside the + // range of this method, but since the result is almost certainly + // infinite, we should probably be OK: + result = a * log(x) - x; + if(p_derivative) + *p_derivative = exp(result); + T init_value = 0; + result += log(detail::lower_gamma_series(a, x, pol, init_value) / a); + } + } + else + { + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + result = ::logf(result) + ::lgammaf(a); + } + else + { + result = ::log(result) + ::lgamma(a); + } + #else + result = log(result) + boost::math::lgamma(a, pol); + #endif + } } + if(result > tools::log_max_value<T>()) + return policies::raise_overflow_error<T>(function, nullptr, pol); + return exp(result); } + + // If no special handling is required then we proceeds as normal + return gamma_incomplete_imp_final(T(a), T(x), normalised, invert, pol, p_derivative); +} + +// +// Ratios of two gamma functions: +// +template <class T, class Policy, class Lanczos> +BOOST_MATH_GPU_ENABLED T tgamma_delta_ratio_imp_lanczos_final(T z, T delta, const Policy& pol, const Lanczos&) +{ + BOOST_MATH_STD_USING + T zgh = static_cast<T>(z + T(Lanczos::g()) - constants::half<T>()); T result; if(z + delta == z) @@ -1588,9 +1778,55 @@ T tgamma_delta_ratio_imp_lanczos(T z, T delta, const Policy& pol, const Lanczos& result *= pow(T(constants::e<T>() / (zgh + delta)), delta); return result; } + +template <class T, class Policy, class Lanczos> +BOOST_MATH_GPU_ENABLED T tgamma_delta_ratio_imp_lanczos(T z, T delta, const Policy& pol, const Lanczos& l) +{ + BOOST_MATH_STD_USING + + if(z < tools::epsilon<T>()) + { + // + // We get spurious numeric overflow unless we're very careful, this + // can occur either inside Lanczos::lanczos_sum(z) or in the + // final combination of terms, to avoid this, split the product up + // into 2 (or 3) parts: + // + // G(z) / G(L) = 1 / (z * G(L)) ; z < eps, L = z + delta = delta + // z * G(L) = z * G(lim) * (G(L)/G(lim)) ; lim = largest factorial + // + if(boost::math::max_factorial<T>::value < delta) + { + T ratio = tgamma_delta_ratio_imp_lanczos_final(T(delta), T(boost::math::max_factorial<T>::value - delta), pol, l); + ratio *= z; + ratio *= boost::math::unchecked_factorial<T>(boost::math::max_factorial<T>::value - 1); + return 1 / ratio; + } + else + { + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + return 1 / (z * ::tgammaf(z + delta)); + } + else + { + return 1 / (z * ::tgamma(z + delta)); + } + #else + return 1 / (z * boost::math::tgamma(z + delta, pol)); + #endif + } + } + + return tgamma_delta_ratio_imp_lanczos_final(T(z), T(delta), pol, l); +} + // // And again without Lanczos support this time: // +#ifndef BOOST_MATH_HAS_GPU_SUPPORT + template <class T, class Policy> T tgamma_delta_ratio_imp_lanczos(T z, T delta, const Policy& pol, const lanczos::undefined_lanczos& l) { @@ -1647,15 +1883,28 @@ T tgamma_delta_ratio_imp_lanczos(T z, T delta, const Policy& pol, const lanczos: return ratio; } +#endif + template <class T, class Policy> -T tgamma_delta_ratio_imp(T z, T delta, const Policy& pol) +BOOST_MATH_GPU_ENABLED T tgamma_delta_ratio_imp(T z, T delta, const Policy& pol) { BOOST_MATH_STD_USING if((z <= 0) || (z + delta <= 0)) { // This isn't very sophisticated, or accurate, but it does work: + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + return ::tgammaf(z) / ::tgammaf(z + delta); + } + else + { + return ::tgamma(z) / ::tgamma(z + delta); + } + #else return boost::math::tgamma(z, pol) / boost::math::tgamma(z + delta, pol); + #endif } if(floor(delta) == delta) @@ -1706,7 +1955,7 @@ T tgamma_delta_ratio_imp(T z, T delta, const Policy& pol) } template <class T, class Policy> -T tgamma_ratio_imp(T x, T y, const Policy& pol) +BOOST_MATH_GPU_ENABLED T tgamma_ratio_imp(T x, T y, const Policy& pol) { BOOST_MATH_STD_USING @@ -1715,17 +1964,32 @@ T tgamma_ratio_imp(T x, T y, const Policy& pol) if((y <= 0) || (boost::math::isinf)(y)) return policies::raise_domain_error<T>("boost::math::tgamma_ratio<%1%>(%1%, %1%)", "Gamma function ratios only implemented for positive arguments (got b=%1%).", y, pol); + // We don't need to worry about the denorm case on device + // And this has the added bonus of removing recursion + #ifndef BOOST_MATH_HAS_GPU_SUPPORT if(x <= tools::min_value<T>()) { // Special case for denorms...Ugh. T shift = ldexp(T(1), tools::digits<T>()); return shift * tgamma_ratio_imp(T(x * shift), y, pol); } + #endif if((x < max_factorial<T>::value) && (y < max_factorial<T>::value)) { // Rather than subtracting values, lets just call the gamma functions directly: + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + return ::tgammaf(x) / ::tgammaf(y); + } + else + { + return ::tgamma(x) / ::tgamma(y); + } + #else return boost::math::tgamma(x, pol) / boost::math::tgamma(y, pol); + #endif } T prefix = 1; if(x < 1) @@ -1741,12 +2005,35 @@ T tgamma_ratio_imp(T x, T y, const Policy& pol) y -= 1; prefix /= y; } + + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + return prefix * ::tgammaf(x) / ::tgammaf(y); + } + else + { + return prefix * ::tgamma(x) / ::tgamma(y); + } + #else return prefix * boost::math::tgamma(x, pol) / boost::math::tgamma(y, pol); + #endif } // // result is almost certainly going to underflow to zero, try logs just in case: // + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + return ::expf(::lgammaf(x) - ::lgammaf(y)); + } + else + { + return ::exp(::lgamma(x) - ::lgamma(y)); + } + #else return exp(boost::math::lgamma(x, pol) - boost::math::lgamma(y, pol)); + #endif } if(y < 1) { @@ -1761,21 +2048,48 @@ T tgamma_ratio_imp(T x, T y, const Policy& pol) x -= 1; prefix *= x; } + + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + return prefix * ::tgammaf(x) / ::tgammaf(y); + } + else + { + return prefix * ::tgamma(x) / ::tgamma(y); + } + #else return prefix * boost::math::tgamma(x, pol) / boost::math::tgamma(y, pol); + #endif } // // Result will almost certainly overflow, try logs just in case: // + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + return ::expf(::lgammaf(x) - ::lgammaf(y)); + } + else + { + return ::exp(::lgamma(x) - ::lgamma(y)); + } + #else return exp(boost::math::lgamma(x, pol) - boost::math::lgamma(y, pol)); + #endif } // // Regular case, x and y both large and similar in magnitude: // + #ifdef BOOST_MATH_HAS_NVRTC + return detail::tgamma_delta_ratio_imp(x, y - x, pol); + #else return boost::math::tgamma_delta_ratio(x, y - x, pol); + #endif } template <class T, class Policy> -T gamma_p_derivative_imp(T a, T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED T gamma_p_derivative_imp(T a, T x, const Policy& pol) { BOOST_MATH_STD_USING // @@ -1806,7 +2120,18 @@ T gamma_p_derivative_imp(T a, T x, const Policy& pol) if(f1 == 0) { // Underflow in calculation, use logs instead: + #ifdef BOOST_MATH_HAS_NVRTC + if (boost::math::is_same_v<T, float>) + { + f1 = a * ::logf(x) - x - ::lgammaf(a) - ::logf(x); + } + else + { + f1 = a * ::log(x) - x - ::lgamma(a) - ::log(x); + } + #else f1 = a * log(x) - x - lgamma(a, pol) - log(x); + #endif f1 = exp(f1); } else @@ -1816,8 +2141,8 @@ T gamma_p_derivative_imp(T a, T x, const Policy& pol) } template <class T, class Policy> -inline typename tools::promote_args<T>::type - tgamma(T z, const Policy& /* pol */, const std::true_type) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type + tgamma(T z, const Policy& /* pol */, const boost::math::true_type) { BOOST_FPU_EXCEPTION_GUARD typedef typename tools::promote_args<T>::type result_type; @@ -1837,11 +2162,11 @@ struct igamma_initializer { struct init { - init() + BOOST_MATH_GPU_ENABLED init() { typedef typename policies::precision<T, Policy>::type precision_type; - typedef std::integral_constant<int, + typedef boost::math::integral_constant<int, precision_type::value <= 0 ? 0 : precision_type::value <= 53 ? 53 : precision_type::value <= 64 ? 64 : @@ -1851,24 +2176,26 @@ struct igamma_initializer do_init(tag_type()); } template <int N> - static void do_init(const std::integral_constant<int, N>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, N>&) { // If std::numeric_limits<T>::digits is zero, we must not call // our initialization code here as the precision presumably // varies at runtime, and will not have been set yet. Plus the // code requiring initialization isn't called when digits == 0. - if(std::numeric_limits<T>::digits) + if (boost::math::numeric_limits<T>::digits) { boost::math::gamma_p(static_cast<T>(400), static_cast<T>(400), Policy()); } } - static void do_init(const std::integral_constant<int, 53>&){} - void force_instantiate()const{} + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 53>&){} + BOOST_MATH_GPU_ENABLED void force_instantiate()const{} }; - static const init initializer; - static void force_instantiate() + BOOST_MATH_STATIC const init initializer; + BOOST_MATH_GPU_ENABLED static void force_instantiate() { + #ifndef BOOST_MATH_HAS_GPU_SUPPORT initializer.force_instantiate(); + #endif } }; @@ -1880,10 +2207,10 @@ struct lgamma_initializer { struct init { - init() + BOOST_MATH_GPU_ENABLED init() { typedef typename policies::precision<T, Policy>::type precision_type; - typedef std::integral_constant<int, + typedef boost::math::integral_constant<int, precision_type::value <= 0 ? 0 : precision_type::value <= 64 ? 64 : precision_type::value <= 113 ? 113 : 0 @@ -1891,28 +2218,30 @@ struct lgamma_initializer do_init(tag_type()); } - static void do_init(const std::integral_constant<int, 64>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 64>&) { boost::math::lgamma(static_cast<T>(2.5), Policy()); boost::math::lgamma(static_cast<T>(1.25), Policy()); boost::math::lgamma(static_cast<T>(1.75), Policy()); } - static void do_init(const std::integral_constant<int, 113>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 113>&) { boost::math::lgamma(static_cast<T>(2.5), Policy()); boost::math::lgamma(static_cast<T>(1.25), Policy()); boost::math::lgamma(static_cast<T>(1.5), Policy()); boost::math::lgamma(static_cast<T>(1.75), Policy()); } - static void do_init(const std::integral_constant<int, 0>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 0>&) { } - void force_instantiate()const{} + BOOST_MATH_GPU_ENABLED void force_instantiate()const{} }; - static const init initializer; - static void force_instantiate() + BOOST_MATH_STATIC const init initializer; + BOOST_MATH_GPU_ENABLED static void force_instantiate() { + #ifndef BOOST_MATH_HAS_GPU_SUPPORT initializer.force_instantiate(); + #endif } }; @@ -1920,8 +2249,8 @@ template <class T, class Policy> const typename lgamma_initializer<T, Policy>::init lgamma_initializer<T, Policy>::initializer; template <class T1, class T2, class Policy> -inline tools::promote_args_t<T1, T2> - tgamma(T1 a, T2 z, const Policy&, const std::false_type) +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> + tgamma(T1 a, T2 z, const Policy&, const boost::math::false_type) { BOOST_FPU_EXCEPTION_GUARD typedef tools::promote_args_t<T1, T2> result_type; @@ -1943,8 +2272,8 @@ inline tools::promote_args_t<T1, T2> } template <class T1, class T2> -inline tools::promote_args_t<T1, T2> - tgamma(T1 a, T2 z, const std::false_type& tag) +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> + tgamma(T1 a, T2 z, const boost::math::false_type& tag) { return tgamma(a, z, policies::policy<>(), tag); } @@ -1952,15 +2281,8 @@ inline tools::promote_args_t<T1, T2> } // namespace detail -template <class T> -inline typename tools::promote_args<T>::type - tgamma(T z) -{ - return tgamma(z, policies::policy<>()); -} - template <class T, class Policy> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type lgamma(T z, int* sign, const Policy&) { BOOST_FPU_EXCEPTION_GUARD @@ -1980,28 +2302,28 @@ inline typename tools::promote_args<T>::type } template <class T> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type lgamma(T z, int* sign) { return lgamma(z, sign, policies::policy<>()); } template <class T, class Policy> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type lgamma(T x, const Policy& pol) { return ::boost::math::lgamma(x, nullptr, pol); } template <class T> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type lgamma(T x) { return ::boost::math::lgamma(x, nullptr, policies::policy<>()); } template <class T, class Policy> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type tgamma1pm1(T z, const Policy& /* pol */) { BOOST_FPU_EXCEPTION_GUARD @@ -2015,11 +2337,11 @@ inline typename tools::promote_args<T>::type policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - return policies::checked_narrowing_cast<typename std::remove_cv<result_type>::type, forwarding_policy>(detail::tgammap1m1_imp(static_cast<value_type>(z), forwarding_policy(), evaluation_type()), "boost::math::tgamma1pm1<%!%>(%1%)"); + return policies::checked_narrowing_cast<typename boost::math::remove_cv<result_type>::type, forwarding_policy>(detail::tgammap1m1_imp(static_cast<value_type>(z), forwarding_policy(), evaluation_type()), "boost::math::tgamma1pm1<%!%>(%1%)"); } template <class T> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type tgamma1pm1(T z) { return tgamma1pm1(z, policies::policy<>()); @@ -2029,7 +2351,7 @@ inline typename tools::promote_args<T>::type // Full upper incomplete gamma: // template <class T1, class T2> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> tgamma(T1 a, T2 z) { // @@ -2041,17 +2363,23 @@ inline tools::promote_args_t<T1, T2> return static_cast<result_type>(detail::tgamma(a, z, maybe_policy())); } template <class T1, class T2, class Policy> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> tgamma(T1 a, T2 z, const Policy& pol) { using result_type = tools::promote_args_t<T1, T2>; - return static_cast<result_type>(detail::tgamma(a, z, pol, std::false_type())); + return static_cast<result_type>(detail::tgamma(a, z, pol, boost::math::false_type())); +} +template <class T> +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type + tgamma(T z) +{ + return tgamma(z, policies::policy<>()); } // // Full lower incomplete gamma: // template <class T1, class T2, class Policy> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> tgamma_lower(T1 a, T2 z, const Policy&) { BOOST_FPU_EXCEPTION_GUARD @@ -2073,7 +2401,7 @@ inline tools::promote_args_t<T1, T2> forwarding_policy(), static_cast<value_type*>(nullptr)), "tgamma_lower<%1%>(%1%, %1%)"); } template <class T1, class T2> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> tgamma_lower(T1 a, T2 z) { return tgamma_lower(a, z, policies::policy<>()); @@ -2082,7 +2410,7 @@ inline tools::promote_args_t<T1, T2> // Regularised upper incomplete gamma: // template <class T1, class T2, class Policy> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> gamma_q(T1 a, T2 z, const Policy& /* pol */) { BOOST_FPU_EXCEPTION_GUARD @@ -2104,7 +2432,7 @@ inline tools::promote_args_t<T1, T2> forwarding_policy(), static_cast<value_type*>(nullptr)), "gamma_q<%1%>(%1%, %1%)"); } template <class T1, class T2> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> gamma_q(T1 a, T2 z) { return gamma_q(a, z, policies::policy<>()); @@ -2113,7 +2441,7 @@ inline tools::promote_args_t<T1, T2> // Regularised lower incomplete gamma: // template <class T1, class T2, class Policy> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> gamma_p(T1 a, T2 z, const Policy&) { BOOST_FPU_EXCEPTION_GUARD @@ -2135,7 +2463,7 @@ inline tools::promote_args_t<T1, T2> forwarding_policy(), static_cast<value_type*>(nullptr)), "gamma_p<%1%>(%1%, %1%)"); } template <class T1, class T2> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> gamma_p(T1 a, T2 z) { return gamma_p(a, z, policies::policy<>()); @@ -2143,7 +2471,7 @@ inline tools::promote_args_t<T1, T2> // ratios of gamma functions: template <class T1, class T2, class Policy> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> tgamma_delta_ratio(T1 z, T2 delta, const Policy& /* pol */) { BOOST_FPU_EXCEPTION_GUARD @@ -2159,13 +2487,13 @@ inline tools::promote_args_t<T1, T2> return policies::checked_narrowing_cast<result_type, forwarding_policy>(detail::tgamma_delta_ratio_imp(static_cast<value_type>(z), static_cast<value_type>(delta), forwarding_policy()), "boost::math::tgamma_delta_ratio<%1%>(%1%, %1%)"); } template <class T1, class T2> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> tgamma_delta_ratio(T1 z, T2 delta) { return tgamma_delta_ratio(z, delta, policies::policy<>()); } template <class T1, class T2, class Policy> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> tgamma_ratio(T1 a, T2 b, const Policy&) { typedef tools::promote_args_t<T1, T2> result_type; @@ -2180,14 +2508,14 @@ inline tools::promote_args_t<T1, T2> return policies::checked_narrowing_cast<result_type, forwarding_policy>(detail::tgamma_ratio_imp(static_cast<value_type>(a), static_cast<value_type>(b), forwarding_policy()), "boost::math::tgamma_delta_ratio<%1%>(%1%, %1%)"); } template <class T1, class T2> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> tgamma_ratio(T1 a, T2 b) { return tgamma_ratio(a, b, policies::policy<>()); } template <class T1, class T2, class Policy> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> gamma_p_derivative(T1 a, T2 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD @@ -2203,7 +2531,7 @@ inline tools::promote_args_t<T1, T2> return policies::checked_narrowing_cast<result_type, forwarding_policy>(detail::gamma_p_derivative_imp(static_cast<value_type>(a), static_cast<value_type>(x), forwarding_policy()), "boost::math::gamma_p_derivative<%1%>(%1%, %1%)"); } template <class T1, class T2> -inline tools::promote_args_t<T1, T2> +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T1, T2> gamma_p_derivative(T1 a, T2 x) { return gamma_p_derivative(a, x, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/gegenbauer.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/gegenbauer.hpp index b7033cd14f..70324cf656 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/gegenbauer.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/gegenbauer.hpp @@ -1,4 +1,5 @@ // (C) Copyright Nick Thompson 2019. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -6,21 +7,25 @@ #ifndef BOOST_MATH_SPECIAL_GEGENBAUER_HPP #define BOOST_MATH_SPECIAL_GEGENBAUER_HPP -#include <limits> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/numeric_limits.hpp> + +#ifndef BOOST_MATH_NO_EXCEPTIONS #include <stdexcept> -#include <type_traits> +#endif namespace boost { namespace math { template<typename Real> -Real gegenbauer(unsigned n, Real lambda, Real x) +BOOST_MATH_GPU_ENABLED Real gegenbauer(unsigned n, Real lambda, Real x) { - static_assert(!std::is_integral<Real>::value, "Gegenbauer polynomials required floating point arguments."); + static_assert(!boost::math::is_integral<Real>::value, "Gegenbauer polynomials required floating point arguments."); if (lambda <= -1/Real(2)) { #ifndef BOOST_MATH_NO_EXCEPTIONS throw std::domain_error("lambda > -1/2 is required."); #else - return std::numeric_limits<Real>::quiet_NaN(); + return boost::math::numeric_limits<Real>::quiet_NaN(); #endif } // The only reason to do this is because of some instability that could be present for x < 0 that is not present for x > 0. @@ -41,7 +46,7 @@ Real gegenbauer(unsigned n, Real lambda, Real x) Real yk = y1; Real k = 2; - Real k_max = n*(1+std::numeric_limits<Real>::epsilon()); + Real k_max = n*(1+boost::math::numeric_limits<Real>::epsilon()); Real gamma = 2*(lambda - 1); while(k < k_max) { @@ -55,7 +60,7 @@ Real gegenbauer(unsigned n, Real lambda, Real x) template<typename Real> -Real gegenbauer_derivative(unsigned n, Real lambda, Real x, unsigned k) +BOOST_MATH_GPU_ENABLED Real gegenbauer_derivative(unsigned n, Real lambda, Real x, unsigned k) { if (k > n) { return Real(0); @@ -70,7 +75,7 @@ Real gegenbauer_derivative(unsigned n, Real lambda, Real x, unsigned k) } template<typename Real> -Real gegenbauer_prime(unsigned n, Real lambda, Real x) { +BOOST_MATH_GPU_ENABLED Real gegenbauer_prime(unsigned n, Real lambda, Real x) { return gegenbauer_derivative<Real>(n, lambda, x, 1); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/hankel.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/hankel.hpp index 51b8390d99..730c7afa03 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/hankel.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/hankel.hpp @@ -1,4 +1,5 @@ // Copyright John Maddock 2012. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt @@ -7,26 +8,31 @@ #ifndef BOOST_MATH_HANKEL_HPP #define BOOST_MATH_HANKEL_HPP +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/complex.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/bessel.hpp> +#include <boost/math/special_functions/detail/iconv.hpp> +#include <boost/math/constants/constants.hpp> +#include <boost/math/policies/error_handling.hpp> namespace boost{ namespace math{ namespace detail{ template <class T, class Policy> -std::complex<T> hankel_imp(T v, T x, const bessel_no_int_tag&, const Policy& pol, int sign) +BOOST_MATH_GPU_ENABLED boost::math::complex<T> hankel_imp(T v, T x, const bessel_no_int_tag&, const Policy& pol, int sign) { BOOST_MATH_STD_USING - static const char* function = "boost::math::cyl_hankel_1<%1%>(%1%,%1%)"; + constexpr auto function = "boost::math::cyl_hankel_1<%1%>(%1%,%1%)"; if(x < 0) { bool isint_v = floor(v) == v; T j, y; bessel_jy(v, -x, &j, &y, need_j | need_y, pol); - std::complex<T> cx(x), cv(v); - std::complex<T> j_result, y_result; + boost::math::complex<T> cx(x), cv(v); + boost::math::complex<T> j_result, y_result; if(isint_v) { int s = (iround(v) & 1) ? -1 : 1; @@ -37,12 +43,12 @@ std::complex<T> hankel_imp(T v, T x, const bessel_no_int_tag&, const Policy& pol { j_result = pow(cx, v) * pow(-cx, -v) * j; T p1 = pow(-x, v); - std::complex<T> p2 = pow(cx, v); + boost::math::complex<T> p2 = pow(cx, v); y_result = p1 * y / p2 + (p2 / p1 - p1 / p2) * j / tan(constants::pi<T>() * v); } // multiply y_result by i: - y_result = std::complex<T>(-sign * y_result.imag(), sign * y_result.real()); + y_result = boost::math::complex<T>(-sign * y_result.imag(), sign * y_result.real()); return j_result + y_result; } @@ -51,25 +57,25 @@ std::complex<T> hankel_imp(T v, T x, const bessel_no_int_tag&, const Policy& pol if(v == 0) { // J is 1, Y is -INF - return std::complex<T>(1, sign * -policies::raise_overflow_error<T>(function, nullptr, pol)); + return boost::math::complex<T>(1, sign * -policies::raise_overflow_error<T>(function, nullptr, pol)); } else { // At least one of J and Y is complex infinity: - return std::complex<T>(policies::raise_overflow_error<T>(function, nullptr, pol), sign * policies::raise_overflow_error<T>(function, nullptr, pol)); + return boost::math::complex<T>(policies::raise_overflow_error<T>(function, nullptr, pol), sign * policies::raise_overflow_error<T>(function, nullptr, pol)); } } T j, y; bessel_jy(v, x, &j, &y, need_j | need_y, pol); - return std::complex<T>(j, sign * y); + return boost::math::complex<T>(j, sign * y); } template <class T, class Policy> -std::complex<T> hankel_imp(int v, T x, const bessel_int_tag&, const Policy& pol, int sign); +BOOST_MATH_GPU_ENABLED boost::math::complex<T> hankel_imp(int v, T x, const bessel_int_tag&, const Policy& pol, int sign); template <class T, class Policy> -inline std::complex<T> hankel_imp(T v, T x, const bessel_maybe_int_tag&, const Policy& pol, int sign) +BOOST_MATH_GPU_ENABLED inline boost::math::complex<T> hankel_imp(T v, T x, const bessel_maybe_int_tag&, const Policy& pol, int sign) { BOOST_MATH_STD_USING // ADL of std names. int ival = detail::iconv(v, pol); @@ -81,57 +87,57 @@ inline std::complex<T> hankel_imp(T v, T x, const bessel_maybe_int_tag&, const P } template <class T, class Policy> -inline std::complex<T> hankel_imp(int v, T x, const bessel_int_tag&, const Policy& pol, int sign) +BOOST_MATH_GPU_ENABLED inline boost::math::complex<T> hankel_imp(int v, T x, const bessel_int_tag&, const Policy& pol, int sign) { BOOST_MATH_STD_USING - if((std::abs(v) < 200) && (x > 0)) - return std::complex<T>(bessel_jn(v, x, pol), sign * bessel_yn(v, x, pol)); + if((abs(v) < 200) && (x > 0)) + return boost::math::complex<T>(bessel_jn(v, x, pol), sign * bessel_yn(v, x, pol)); return hankel_imp(static_cast<T>(v), x, bessel_no_int_tag(), pol, sign); } template <class T, class Policy> -inline std::complex<T> sph_hankel_imp(T v, T x, const Policy& pol, int sign) +BOOST_MATH_GPU_ENABLED inline boost::math::complex<T> sph_hankel_imp(T v, T x, const Policy& pol, int sign) { BOOST_MATH_STD_USING - return constants::root_half_pi<T>() * hankel_imp(v + 0.5f, x, bessel_no_int_tag(), pol, sign) / sqrt(std::complex<T>(x)); + return constants::root_half_pi<T>() * hankel_imp(v + 0.5f, x, bessel_no_int_tag(), pol, sign) / sqrt(boost::math::complex<T>(x)); } } // namespace detail template <class T1, class T2, class Policy> -inline std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> cyl_hankel_1(T1 v, T2 x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline boost::math::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> cyl_hankel_1(T1 v, T2 x, const Policy& pol) { BOOST_FPU_EXCEPTION_GUARD typedef typename detail::bessel_traits<T1, T2, Policy>::result_type result_type; typedef typename detail::bessel_traits<T1, T2, Policy>::optimisation_tag tag_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; - return policies::checked_narrowing_cast<std::complex<result_type>, Policy>(detail::hankel_imp<value_type>(v, static_cast<value_type>(x), tag_type(), pol, 1), "boost::math::cyl_hankel_1<%1%>(%1%,%1%)"); + return policies::checked_narrowing_cast<boost::math::complex<result_type>, Policy>(detail::hankel_imp<value_type>(v, static_cast<value_type>(x), tag_type(), pol, 1), "boost::math::cyl_hankel_1<%1%>(%1%,%1%)"); } template <class T1, class T2> -inline std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> cyl_hankel_1(T1 v, T2 x) +BOOST_MATH_GPU_ENABLED inline boost::math::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> cyl_hankel_1(T1 v, T2 x) { return cyl_hankel_1(v, x, policies::policy<>()); } template <class T1, class T2, class Policy> -inline std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> cyl_hankel_2(T1 v, T2 x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline boost::math::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> cyl_hankel_2(T1 v, T2 x, const Policy& pol) { BOOST_FPU_EXCEPTION_GUARD typedef typename detail::bessel_traits<T1, T2, Policy>::result_type result_type; typedef typename detail::bessel_traits<T1, T2, Policy>::optimisation_tag tag_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; - return policies::checked_narrowing_cast<std::complex<result_type>, Policy>(detail::hankel_imp<value_type>(v, static_cast<value_type>(x), tag_type(), pol, -1), "boost::math::cyl_hankel_1<%1%>(%1%,%1%)"); + return policies::checked_narrowing_cast<boost::math::complex<result_type>, Policy>(detail::hankel_imp<value_type>(v, static_cast<value_type>(x), tag_type(), pol, -1), "boost::math::cyl_hankel_1<%1%>(%1%,%1%)"); } template <class T1, class T2> -inline std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> cyl_hankel_2(T1 v, T2 x) +BOOST_MATH_GPU_ENABLED inline boost::math::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> cyl_hankel_2(T1 v, T2 x) { return cyl_hankel_2(v, x, policies::policy<>()); } template <class T1, class T2, class Policy> -inline std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> sph_hankel_1(T1 v, T2 x, const Policy&) +BOOST_MATH_GPU_ENABLED inline boost::math::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> sph_hankel_1(T1 v, T2 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD typedef typename detail::bessel_traits<T1, T2, Policy>::result_type result_type; @@ -143,17 +149,17 @@ inline std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - return policies::checked_narrowing_cast<std::complex<result_type>, Policy>(detail::sph_hankel_imp<value_type>(static_cast<value_type>(v), static_cast<value_type>(x), forwarding_policy(), 1), "boost::math::sph_hankel_1<%1%>(%1%,%1%)"); + return policies::checked_narrowing_cast<boost::math::complex<result_type>, Policy>(detail::sph_hankel_imp<value_type>(static_cast<value_type>(v), static_cast<value_type>(x), forwarding_policy(), 1), "boost::math::sph_hankel_1<%1%>(%1%,%1%)"); } template <class T1, class T2> -inline std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> sph_hankel_1(T1 v, T2 x) +BOOST_MATH_GPU_ENABLED inline boost::math::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> sph_hankel_1(T1 v, T2 x) { return sph_hankel_1(v, x, policies::policy<>()); } template <class T1, class T2, class Policy> -inline std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> sph_hankel_2(T1 v, T2 x, const Policy&) +BOOST_MATH_GPU_ENABLED inline boost::math::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> sph_hankel_2(T1 v, T2 x, const Policy&) { BOOST_FPU_EXCEPTION_GUARD typedef typename detail::bessel_traits<T1, T2, Policy>::result_type result_type; @@ -165,11 +171,11 @@ inline std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - return policies::checked_narrowing_cast<std::complex<result_type>, Policy>(detail::sph_hankel_imp<value_type>(static_cast<value_type>(v), static_cast<value_type>(x), forwarding_policy(), -1), "boost::math::sph_hankel_1<%1%>(%1%,%1%)"); + return policies::checked_narrowing_cast<boost::math::complex<result_type>, Policy>(detail::sph_hankel_imp<value_type>(static_cast<value_type>(v), static_cast<value_type>(x), forwarding_policy(), -1), "boost::math::sph_hankel_1<%1%>(%1%,%1%)"); } template <class T1, class T2> -inline std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> sph_hankel_2(T1 v, T2 x) +BOOST_MATH_GPU_ENABLED inline boost::math::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> sph_hankel_2(T1 v, T2 x) { return sph_hankel_2(v, x, policies::policy<>()); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/hermite.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/hermite.hpp index 81ccb2ac66..3d77fc03e3 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/hermite.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/hermite.hpp @@ -1,5 +1,6 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -11,8 +12,9 @@ #pragma once #endif -#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/tools/config.hpp> +#include <boost/math/tools/promotion.hpp> +#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/policies/error_handling.hpp> namespace boost{ @@ -20,7 +22,7 @@ namespace math{ // Recurrence relation for Hermite polynomials: template <class T1, class T2, class T3> -inline typename tools::promote_args<T1, T2, T3>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2, T3>::type hermite_next(unsigned n, T1 x, T2 Hn, T3 Hnm1) { using promoted_type = tools::promote_args_t<T1, T2, T3>; @@ -31,7 +33,7 @@ namespace detail{ // Implement Hermite polynomials via recurrence: template <class T> -T hermite_imp(unsigned n, T x) +BOOST_MATH_GPU_ENABLED T hermite_imp(unsigned n, T x) { T p0 = 1; T p1 = 2 * x; @@ -43,7 +45,7 @@ T hermite_imp(unsigned n, T x) while(c < n) { - std::swap(p0, p1); + BOOST_MATH_GPU_SAFE_SWAP(p0, p1); p1 = static_cast<T>(hermite_next(c, x, p0, p1)); ++c; } @@ -53,7 +55,7 @@ T hermite_imp(unsigned n, T x) } // namespace detail template <class T, class Policy> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type hermite(unsigned n, T x, const Policy&) { typedef typename tools::promote_args<T>::type result_type; @@ -62,7 +64,7 @@ inline typename tools::promote_args<T>::type } template <class T> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type hermite(unsigned n, T x) { return boost::math::hermite(n, x, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/heuman_lambda.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/heuman_lambda.hpp index 0fbf4a9803..05002725f2 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/heuman_lambda.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/heuman_lambda.hpp @@ -1,4 +1,5 @@ // Copyright (c) 2015 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,6 +11,9 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/type_traits.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/ellint_rj.hpp> #include <boost/math/special_functions/ellint_1.hpp> @@ -26,13 +30,13 @@ namespace detail{ // Elliptic integral - Jacobi Zeta template <typename T, typename Policy> -T heuman_lambda_imp(T phi, T k, const Policy& pol) +BOOST_MATH_GPU_ENABLED T heuman_lambda_imp(T phi, T k, const Policy& pol) { BOOST_MATH_STD_USING using namespace boost::math::tools; using namespace boost::math::constants; - const char* function = "boost::math::heuman_lambda<%1%>(%1%, %1%)"; + constexpr auto function = "boost::math::heuman_lambda<%1%>(%1%, %1%)"; if(fabs(k) > 1) return policies::raise_domain_error<T>(function, "We require |k| <= 1 but got k = %1%", k, pol); @@ -51,10 +55,10 @@ T heuman_lambda_imp(T phi, T k, const Policy& pol) } else { - typedef std::integral_constant<int, - std::is_floating_point<T>::value&& std::numeric_limits<T>::digits && (std::numeric_limits<T>::digits <= 54) ? 0 : - std::is_floating_point<T>::value && std::numeric_limits<T>::digits && (std::numeric_limits<T>::digits <= 64) ? 1 : 2 - > precision_tag_type; + typedef boost::math::integral_constant<int, + boost::math::is_floating_point<T>::value && boost::math::numeric_limits<T>::digits && (boost::math::numeric_limits<T>::digits <= 54) ? 0 : + boost::math::is_floating_point<T>::value && boost::math::numeric_limits<T>::digits && (boost::math::numeric_limits<T>::digits <= 64) ? 1 : 2 + > precision_tag_type; T rkp = sqrt(kp); T ratio; @@ -63,7 +67,9 @@ T heuman_lambda_imp(T phi, T k, const Policy& pol) return policies::raise_domain_error<T>(function, "When 1-k^2 == 1 then phi must be < Pi/2, but got phi = %1%", phi, pol); } else + { ratio = ellint_f_imp(phi, rkp, pol, k2) / ellint_k_imp(rkp, pol, k2); + } result = ratio + ellint_k_imp(k, pol, precision_tag_type()) * jacobi_zeta_imp(phi, rkp, pol, k2) / constants::half_pi<T>(); } return result; @@ -72,7 +78,7 @@ T heuman_lambda_imp(T phi, T k, const Policy& pol) } // detail template <class T1, class T2, class Policy> -inline typename tools::promote_args<T1, T2>::type heuman_lambda(T1 k, T2 phi, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type heuman_lambda(T1 k, T2 phi, const Policy& pol) { typedef typename tools::promote_args<T1, T2>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -80,7 +86,7 @@ inline typename tools::promote_args<T1, T2>::type heuman_lambda(T1 k, T2 phi, co } template <class T1, class T2> -inline typename tools::promote_args<T1, T2>::type heuman_lambda(T1 k, T2 phi) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type heuman_lambda(T1 k, T2 phi) { return boost::math::heuman_lambda(k, phi, policies::policy<>()); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/hypot.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/hypot.hpp index c56c751102..f38e37e872 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/hypot.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/hypot.hpp @@ -12,20 +12,20 @@ #include <boost/math/tools/config.hpp> #include <boost/math/tools/precision.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/type_traits.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/math_fwd.hpp> -#include <algorithm> // for swap -#include <cmath> namespace boost{ namespace math{ namespace detail{ template <class T, class Policy> -T hypot_imp(T x, T y, const Policy& pol) +BOOST_MATH_GPU_ENABLED T hypot_imp(T x, T y, const Policy& pol) { // // Normalize x and y, so that both are positive and x >= y: // - using std::fabs; using std::sqrt; // ADL of std names + BOOST_MATH_STD_USING x = fabs(x); y = fabs(y); @@ -35,16 +35,16 @@ T hypot_imp(T x, T y, const Policy& pol) #pragma warning(disable: 4127) #endif // special case, see C99 Annex F: - if(std::numeric_limits<T>::has_infinity - && ((x == std::numeric_limits<T>::infinity()) - || (y == std::numeric_limits<T>::infinity()))) + if(boost::math::numeric_limits<T>::has_infinity + && ((x == boost::math::numeric_limits<T>::infinity()) + || (y == boost::math::numeric_limits<T>::infinity()))) return policies::raise_overflow_error<T>("boost::math::hypot<%1%>(%1%,%1%)", nullptr, pol); #ifdef _MSC_VER #pragma warning(pop) #endif if(y > x) - (std::swap)(x, y); + BOOST_MATH_GPU_SAFE_SWAP(x, y); if(x * tools::epsilon<T>() >= y) return x; @@ -56,7 +56,7 @@ T hypot_imp(T x, T y, const Policy& pol) } template <class T1, class T2> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type hypot(T1 x, T2 y) { typedef typename tools::promote_args<T1, T2>::type result_type; @@ -65,7 +65,7 @@ inline typename tools::promote_args<T1, T2>::type } template <class T1, class T2, class Policy> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type hypot(T1 x, T2 y, const Policy& pol) { typedef typename tools::promote_args<T1, T2>::type result_type; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/jacobi_zeta.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/jacobi_zeta.hpp index c4ba7d23d2..8b6f80912d 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/jacobi_zeta.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/jacobi_zeta.hpp @@ -11,6 +11,8 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/promotion.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/ellint_1.hpp> #include <boost/math/special_functions/ellint_rj.hpp> @@ -27,7 +29,7 @@ namespace detail{ // Elliptic integral - Jacobi Zeta template <typename T, typename Policy> -T jacobi_zeta_imp(T phi, T k, const Policy& pol, T kp) +BOOST_MATH_GPU_ENABLED T jacobi_zeta_imp(T phi, T k, const Policy& pol, T kp) { BOOST_MATH_STD_USING using namespace boost::math::tools; @@ -55,14 +57,14 @@ T jacobi_zeta_imp(T phi, T k, const Policy& pol, T kp) return invert ? T(-result) : result; } template <typename T, typename Policy> -inline T jacobi_zeta_imp(T phi, T k, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T jacobi_zeta_imp(T phi, T k, const Policy& pol) { return jacobi_zeta_imp(phi, k, pol, T(1 - k * k)); } } // detail template <class T1, class T2, class Policy> -inline typename tools::promote_args<T1, T2>::type jacobi_zeta(T1 k, T2 phi, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type jacobi_zeta(T1 k, T2 phi, const Policy& pol) { typedef typename tools::promote_args<T1, T2>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -70,7 +72,7 @@ inline typename tools::promote_args<T1, T2>::type jacobi_zeta(T1 k, T2 phi, cons } template <class T1, class T2> -inline typename tools::promote_args<T1, T2>::type jacobi_zeta(T1 k, T2 phi) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type jacobi_zeta(T1 k, T2 phi) { return boost::math::jacobi_zeta(k, phi, policies::policy<>()); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/lanczos.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/lanczos.hpp index d75a968cdb..0ec24bddbf 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/lanczos.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/lanczos.hpp @@ -11,12 +11,16 @@ #endif #include <boost/math/tools/config.hpp> -#include <boost/math/tools/big_constant.hpp> #include <boost/math/tools/rational.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/cstdint.hpp> #include <boost/math/policies/policy.hpp> -#include <limits> -#include <type_traits> + +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/tools/big_constant.hpp> #include <cstdint> +#endif #if defined(__GNUC__) && defined(BOOST_MATH_USE_FLOAT128) // @@ -48,7 +52,7 @@ namespace boost{ namespace math{ namespace lanczos{ // Default version assumes all g() values are the same. // template <class L> -inline double lanczos_g_near_1_and_2(const L&) +BOOST_MATH_GPU_ENABLED inline double lanczos_g_near_1_and_2(const L&) { return L::g(); } @@ -59,17 +63,17 @@ inline double lanczos_g_near_1_and_2(const L&) // Max experimental error (with arbitrary precision arithmetic) 9.516e-12 // Generated with compiler: Microsoft Visual C++ version 8.0 on Win32 at Mar 23 2006 // -struct lanczos6 : public std::integral_constant<int, 35> +struct lanczos6 : public boost::math::integral_constant<int, 35> { // // Produces slightly better than float precision when evaluated at // double precision: // template <class T> - static T lanczos_sum(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum(const T& z) { // LCOV_EXCL_START - static const T num[6] = { + BOOST_MATH_STATIC const T num[6] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 8706.349592549009182288174442774377925882)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 8523.650341121874633477483696775067709735)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 3338.029219476423550899999750161289306564)), @@ -77,23 +81,23 @@ struct lanczos6 : public std::integral_constant<int, 35> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 63.99951844938187085666201263218840287667)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 2.506628274631006311133031631822390264407)) }; - static const BOOST_MATH_INT_TABLE_TYPE(T, std::uint16_t) denom[6] = { - static_cast<std::uint16_t>(0u), - static_cast<std::uint16_t>(24u), - static_cast<std::uint16_t>(50u), - static_cast<std::uint16_t>(35u), - static_cast<std::uint16_t>(10u), - static_cast<std::uint16_t>(1u) + BOOST_MATH_STATIC const BOOST_MATH_INT_TABLE_TYPE(T, boost::math::uint16_t) denom[6] = { + static_cast<boost::math::uint16_t>(0u), + static_cast<boost::math::uint16_t>(24u), + static_cast<boost::math::uint16_t>(50u), + static_cast<boost::math::uint16_t>(35u), + static_cast<boost::math::uint16_t>(10u), + static_cast<boost::math::uint16_t>(1u) }; // LCOV_EXCL_STOP return boost::math::tools::evaluate_rational(num, denom, z); } template <class T> - static T lanczos_sum_expG_scaled(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_expG_scaled(const T& z) { // LCOV_EXCL_START - static const T num[6] = { + BOOST_MATH_STATIC const T num[6] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 32.81244541029783471623665933780748627823)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 32.12388941444332003446077108933558534361)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 12.58034729455216106950851080138931470954)), @@ -101,13 +105,13 @@ struct lanczos6 : public std::integral_constant<int, 35> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 0.2412010548258800231126240760264822486599)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 0.009446967704539249494420221613134244048319)) }; - static const BOOST_MATH_INT_TABLE_TYPE(T, std::uint16_t) denom[6] = { - static_cast<std::uint16_t>(0u), - static_cast<std::uint16_t>(24u), - static_cast<std::uint16_t>(50u), - static_cast<std::uint16_t>(35u), - static_cast<std::uint16_t>(10u), - static_cast<std::uint16_t>(1u) + BOOST_MATH_STATIC const BOOST_MATH_INT_TABLE_TYPE(T, boost::math::uint16_t) denom[6] = { + static_cast<boost::math::uint16_t>(0u), + static_cast<boost::math::uint16_t>(24u), + static_cast<boost::math::uint16_t>(50u), + static_cast<boost::math::uint16_t>(35u), + static_cast<boost::math::uint16_t>(10u), + static_cast<boost::math::uint16_t>(1u) }; // LCOV_EXCL_STOP return boost::math::tools::evaluate_rational(num, denom, z); @@ -115,10 +119,10 @@ struct lanczos6 : public std::integral_constant<int, 35> template<class T> - static T lanczos_sum_near_1(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_1(const T& dz) { // LCOV_EXCL_START - static const T d[5] = { + BOOST_MATH_STATIC const T d[5] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 2.044879010930422922760429926121241330235)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, -2.751366405578505366591317846728753993668)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 1.02282965224225004296750609604264824677)), @@ -135,10 +139,10 @@ struct lanczos6 : public std::integral_constant<int, 35> } template<class T> - static T lanczos_sum_near_2(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_2(const T& dz) { // LCOV_EXCL_START - static const T d[5] = { + BOOST_MATH_STATIC const T d[5] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 5.748142489536043490764289256167080091892)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, -7.734074268282457156081021756682138251825)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 35, 2.875167944990511006997713242805893543947)), @@ -155,7 +159,7 @@ struct lanczos6 : public std::integral_constant<int, 35> return result; } - static double g(){ return 5.581000000000000405009359383257105946541; } + BOOST_MATH_GPU_ENABLED static double g(){ return 5.581000000000000405009359383257105946541; } }; // @@ -163,17 +167,17 @@ struct lanczos6 : public std::integral_constant<int, 35> // Max experimental error (with arbitrary precision arithmetic) 2.16676e-19 // Generated with compiler: Microsoft Visual C++ version 8.0 on Win32 at Mar 23 2006 // -struct lanczos11 : public std::integral_constant<int, 60> +struct lanczos11 : public boost::math::integral_constant<int, 60> { // // Produces slightly better than double precision when evaluated at // extended-double precision: // template <class T> - static T lanczos_sum(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum(const T& z) { // LCOV_EXCL_START - static const T num[11] = { + BOOST_MATH_STATIC const T num[11] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 38474670393.31776828316099004518914832218)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 36857665043.51950660081971227404959150474)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 15889202453.72942008945006665994637853242)), @@ -186,28 +190,28 @@ struct lanczos11 : public std::integral_constant<int, 60> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 261.6140441641668190791708576058805625502)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 2.506628274631000502415573855452633787834)) }; - static const BOOST_MATH_INT_TABLE_TYPE(T, std::uint32_t) denom[11] = { - static_cast<std::uint32_t>(0u), - static_cast<std::uint32_t>(362880u), - static_cast<std::uint32_t>(1026576u), - static_cast<std::uint32_t>(1172700u), - static_cast<std::uint32_t>(723680u), - static_cast<std::uint32_t>(269325u), - static_cast<std::uint32_t>(63273u), - static_cast<std::uint32_t>(9450u), - static_cast<std::uint32_t>(870u), - static_cast<std::uint32_t>(45u), - static_cast<std::uint32_t>(1u) + BOOST_MATH_STATIC const BOOST_MATH_INT_TABLE_TYPE(T, boost::math::uint32_t) denom[11] = { + static_cast<boost::math::uint32_t>(0u), + static_cast<boost::math::uint32_t>(362880u), + static_cast<boost::math::uint32_t>(1026576u), + static_cast<boost::math::uint32_t>(1172700u), + static_cast<boost::math::uint32_t>(723680u), + static_cast<boost::math::uint32_t>(269325u), + static_cast<boost::math::uint32_t>(63273u), + static_cast<boost::math::uint32_t>(9450u), + static_cast<boost::math::uint32_t>(870u), + static_cast<boost::math::uint32_t>(45u), + static_cast<boost::math::uint32_t>(1u) }; // LCOV_EXCL_STOP return boost::math::tools::evaluate_rational(num, denom, z); } template <class T> - static T lanczos_sum_expG_scaled(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_expG_scaled(const T& z) { // LCOV_EXCL_START - static const T num[11] = { + BOOST_MATH_STATIC const T num[11] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 709811.662581657956893540610814842699825)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 679979.847415722640161734319823103390728)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 293136.785721159725251629480984140341656)), @@ -220,18 +224,18 @@ struct lanczos11 : public std::integral_constant<int, 60> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 0.004826466289237661857584712046231435101741)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 0.4624429436045378766270459638520555557321e-4)) }; - static const BOOST_MATH_INT_TABLE_TYPE(T, std::uint32_t) denom[11] = { - static_cast<std::uint32_t>(0u), - static_cast<std::uint32_t>(362880u), - static_cast<std::uint32_t>(1026576u), - static_cast<std::uint32_t>(1172700u), - static_cast<std::uint32_t>(723680u), - static_cast<std::uint32_t>(269325u), - static_cast<std::uint32_t>(63273u), - static_cast<std::uint32_t>(9450u), - static_cast<std::uint32_t>(870u), - static_cast<std::uint32_t>(45u), - static_cast<std::uint32_t>(1u) + BOOST_MATH_STATIC const BOOST_MATH_INT_TABLE_TYPE(T, boost::math::uint32_t) denom[11] = { + static_cast<boost::math::uint32_t>(0u), + static_cast<boost::math::uint32_t>(362880u), + static_cast<boost::math::uint32_t>(1026576u), + static_cast<boost::math::uint32_t>(1172700u), + static_cast<boost::math::uint32_t>(723680u), + static_cast<boost::math::uint32_t>(269325u), + static_cast<boost::math::uint32_t>(63273u), + static_cast<boost::math::uint32_t>(9450u), + static_cast<boost::math::uint32_t>(870u), + static_cast<boost::math::uint32_t>(45u), + static_cast<boost::math::uint32_t>(1u) }; // LCOV_EXCL_STOP return boost::math::tools::evaluate_rational(num, denom, z); @@ -239,10 +243,10 @@ struct lanczos11 : public std::integral_constant<int, 60> template<class T> - static T lanczos_sum_near_1(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_1(const T& dz) { // LCOV_EXCL_START - static const T d[10] = { + BOOST_MATH_STATIC const T d[10] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 4.005853070677940377969080796551266387954)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, -13.17044315127646469834125159673527183164)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 17.19146865350790353683895137079288129318)), @@ -264,10 +268,10 @@ struct lanczos11 : public std::integral_constant<int, 60> } template<class T> - static T lanczos_sum_near_2(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_2(const T& dz) { // LCOV_EXCL_START - static const T d[10] = { + BOOST_MATH_STATIC const T d[10] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 19.05889633808148715159575716844556056056)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, -62.66183664701721716960978577959655644762)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 60, 81.7929198065004751699057192860287512027)), @@ -289,7 +293,7 @@ struct lanczos11 : public std::integral_constant<int, 60> return result; } - static double g(){ return 10.90051099999999983936049829935654997826; } + BOOST_MATH_GPU_ENABLED static double g(){ return 10.90051099999999983936049829935654997826; } }; // @@ -297,17 +301,17 @@ struct lanczos11 : public std::integral_constant<int, 60> // Max experimental error (with arbitrary precision arithmetic) 9.2213e-23 // Generated with compiler: Microsoft Visual C++ version 8.0 on Win32 at Mar 23 2006 // -struct lanczos13 : public std::integral_constant<int, 72> +struct lanczos13 : public boost::math::integral_constant<int, 72> { // // Produces slightly better than extended-double precision when evaluated at // higher precision: // template <class T> - static T lanczos_sum(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum(const T& z) { // LCOV_EXCL_START - static const T num[13] = { + BOOST_MATH_STATIC const T num[13] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 44012138428004.60895436261759919070125699)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 41590453358593.20051581730723108131357995)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 18013842787117.99677796276038389462742949)), @@ -322,30 +326,30 @@ struct lanczos13 : public std::integral_constant<int, 72> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 381.8801248632926870394389468349331394196)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 2.506628274631000502415763426076722427007)) }; - static const BOOST_MATH_INT_TABLE_TYPE(T, std::uint32_t) denom[13] = { - static_cast<std::uint32_t>(0u), - static_cast<std::uint32_t>(39916800u), - static_cast<std::uint32_t>(120543840u), - static_cast<std::uint32_t>(150917976u), - static_cast<std::uint32_t>(105258076u), - static_cast<std::uint32_t>(45995730u), - static_cast<std::uint32_t>(13339535u), - static_cast<std::uint32_t>(2637558u), - static_cast<std::uint32_t>(357423u), - static_cast<std::uint32_t>(32670u), - static_cast<std::uint32_t>(1925u), - static_cast<std::uint32_t>(66u), - static_cast<std::uint32_t>(1u) + BOOST_MATH_STATIC const BOOST_MATH_INT_TABLE_TYPE(T, boost::math::uint32_t) denom[13] = { + static_cast<boost::math::uint32_t>(0u), + static_cast<boost::math::uint32_t>(39916800u), + static_cast<boost::math::uint32_t>(120543840u), + static_cast<boost::math::uint32_t>(150917976u), + static_cast<boost::math::uint32_t>(105258076u), + static_cast<boost::math::uint32_t>(45995730u), + static_cast<boost::math::uint32_t>(13339535u), + static_cast<boost::math::uint32_t>(2637558u), + static_cast<boost::math::uint32_t>(357423u), + static_cast<boost::math::uint32_t>(32670u), + static_cast<boost::math::uint32_t>(1925u), + static_cast<boost::math::uint32_t>(66u), + static_cast<boost::math::uint32_t>(1u) }; // LCOV_EXCL_STOP return boost::math::tools::evaluate_rational(num, denom, z); } template <class T> - static T lanczos_sum_expG_scaled(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_expG_scaled(const T& z) { // LCOV_EXCL_START - static const T num[13] = { + BOOST_MATH_STATIC const T num[13] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 86091529.53418537217994842267760536134841)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 81354505.17858011242874285785316135398567)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 35236626.38815461910817650960734605416521)), @@ -360,20 +364,20 @@ struct lanczos13 : public std::integral_constant<int, 72> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 0.0007469903808915448316510079585999893674101)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 0.4903180573459871862552197089738373164184e-5)) }; - static const BOOST_MATH_INT_TABLE_TYPE(T, std::uint32_t) denom[13] = { - static_cast<std::uint32_t>(0u), - static_cast<std::uint32_t>(39916800u), - static_cast<std::uint32_t>(120543840u), - static_cast<std::uint32_t>(150917976u), - static_cast<std::uint32_t>(105258076u), - static_cast<std::uint32_t>(45995730u), - static_cast<std::uint32_t>(13339535u), - static_cast<std::uint32_t>(2637558u), - static_cast<std::uint32_t>(357423u), - static_cast<std::uint32_t>(32670u), - static_cast<std::uint32_t>(1925u), - static_cast<std::uint32_t>(66u), - static_cast<std::uint32_t>(1u) + BOOST_MATH_STATIC const BOOST_MATH_INT_TABLE_TYPE(T, boost::math::uint32_t) denom[13] = { + static_cast<boost::math::uint32_t>(0u), + static_cast<boost::math::uint32_t>(39916800u), + static_cast<boost::math::uint32_t>(120543840u), + static_cast<boost::math::uint32_t>(150917976u), + static_cast<boost::math::uint32_t>(105258076u), + static_cast<boost::math::uint32_t>(45995730u), + static_cast<boost::math::uint32_t>(13339535u), + static_cast<boost::math::uint32_t>(2637558u), + static_cast<boost::math::uint32_t>(357423u), + static_cast<boost::math::uint32_t>(32670u), + static_cast<boost::math::uint32_t>(1925u), + static_cast<boost::math::uint32_t>(66u), + static_cast<boost::math::uint32_t>(1u) }; // LCOV_EXCL_STOP return boost::math::tools::evaluate_rational(num, denom, z); @@ -381,10 +385,10 @@ struct lanczos13 : public std::integral_constant<int, 72> template<class T> - static T lanczos_sum_near_1(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_1(const T& dz) { // LCOV_EXCL_START - static const T d[12] = { + BOOST_MATH_STATIC const T d[12] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 4.832115561461656947793029596285626840312)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, -19.86441536140337740383120735104359034688)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 33.9927422807443239927197864963170585331)), @@ -408,10 +412,10 @@ struct lanczos13 : public std::integral_constant<int, 72> } template<class T> - static T lanczos_sum_near_2(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_2(const T& dz) { // LCOV_EXCL_START - static const T d[12] = { + BOOST_MATH_STATIC const T d[12] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 26.96979819614830698367887026728396466395)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, -110.8705424709385114023884328797900204863)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 72, 189.7258846119231466417015694690434770085)), @@ -435,7 +439,7 @@ struct lanczos13 : public std::integral_constant<int, 72> return result; } - static double g(){ return 13.1445650000000000545696821063756942749; } + BOOST_MATH_GPU_ENABLED static double g(){ return 13.1445650000000000545696821063756942749; } }; // @@ -443,16 +447,16 @@ struct lanczos13 : public std::integral_constant<int, 72> // Max experimental error (with arbitrary precision arithmetic) 8.111667e-8 // Generated with compiler: Microsoft Visual C++ version 8.0 on Win32 at Mar 23 2006 // -struct lanczos6m24 : public std::integral_constant<int, 24> +struct lanczos6m24 : public boost::math::integral_constant<int, 24> { // // Use for float precision, when evaluated as a float: // template <class T> - static T lanczos_sum(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum(const T& z) { // LCOV_EXCL_START - static const T num[6] = { + BOOST_MATH_STATIC const T num[6] = { static_cast<T>(58.52061591769095910314047740215847630266L), static_cast<T>(182.5248962595894264831189414768236280862L), static_cast<T>(211.0971093028510041839168287718170827259L), @@ -460,23 +464,23 @@ struct lanczos6m24 : public std::integral_constant<int, 24> static_cast<T>(27.5192015197455403062503721613097825345L), static_cast<T>(2.50662858515256974113978724717473206342L) }; - static const BOOST_MATH_INT_TABLE_TYPE(T, std::uint16_t) denom[6] = { - static_cast<std::uint16_t>(0u), - static_cast<std::uint16_t>(24u), - static_cast<std::uint16_t>(50u), - static_cast<std::uint16_t>(35u), - static_cast<std::uint16_t>(10u), - static_cast<std::uint16_t>(1u) + BOOST_MATH_STATIC const BOOST_MATH_INT_TABLE_TYPE(T, boost::math::uint16_t) denom[6] = { + static_cast<boost::math::uint16_t>(0u), + static_cast<boost::math::uint16_t>(24u), + static_cast<boost::math::uint16_t>(50u), + static_cast<boost::math::uint16_t>(35u), + static_cast<boost::math::uint16_t>(10u), + static_cast<boost::math::uint16_t>(1u) }; // LCOV_EXCL_STOP return boost::math::tools::evaluate_rational(num, denom, z); } template <class T> - static T lanczos_sum_expG_scaled(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_expG_scaled(const T& z) { // LCOV_EXCL_START - static const T num[6] = { + BOOST_MATH_STATIC const T num[6] = { static_cast<T>(14.0261432874996476619570577285003839357L), static_cast<T>(43.74732405540314316089531289293124360129L), static_cast<T>(50.59547402616588964511581430025589038612L), @@ -484,13 +488,13 @@ struct lanczos6m24 : public std::integral_constant<int, 24> static_cast<T>(6.595765571169314946316366571954421695196L), static_cast<T>(0.6007854010515290065101128585795542383721L) }; - static const BOOST_MATH_INT_TABLE_TYPE(T, std::uint16_t) denom[6] = { - static_cast<std::uint16_t>(0u), - static_cast<std::uint16_t>(24u), - static_cast<std::uint16_t>(50u), - static_cast<std::uint16_t>(35u), - static_cast<std::uint16_t>(10u), - static_cast<std::uint16_t>(1u) + BOOST_MATH_STATIC const BOOST_MATH_INT_TABLE_TYPE(T, boost::math::uint16_t) denom[6] = { + static_cast<boost::math::uint16_t>(0u), + static_cast<boost::math::uint16_t>(24u), + static_cast<boost::math::uint16_t>(50u), + static_cast<boost::math::uint16_t>(35u), + static_cast<boost::math::uint16_t>(10u), + static_cast<boost::math::uint16_t>(1u) }; // LCOV_EXCL_STOP return boost::math::tools::evaluate_rational(num, denom, z); @@ -498,10 +502,10 @@ struct lanczos6m24 : public std::integral_constant<int, 24> template<class T> - static T lanczos_sum_near_1(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_1(const T& dz) { // LCOV_EXCL_START - static const T d[5] = { + BOOST_MATH_STATIC const T d[5] = { static_cast<T>(0.4922488055204602807654354732674868442106L), static_cast<T>(0.004954497451132152436631238060933905650346L), static_cast<T>(-0.003374784572167105840686977985330859371848L), @@ -518,10 +522,10 @@ struct lanczos6m24 : public std::integral_constant<int, 24> } template<class T> - static T lanczos_sum_near_2(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_2(const T& dz) { // LCOV_EXCL_START - static const T d[5] = { + BOOST_MATH_STATIC const T d[5] = { static_cast<T>(0.6534966888520080645505805298901130485464L), static_cast<T>(0.006577461728560758362509168026049182707101L), static_cast<T>(-0.004480276069269967207178373559014835978161L), @@ -538,7 +542,7 @@ struct lanczos6m24 : public std::integral_constant<int, 24> return result; } - static double g(){ return 1.428456135094165802001953125; } + BOOST_MATH_GPU_ENABLED static double g(){ return 1.428456135094165802001953125; } }; // @@ -546,16 +550,16 @@ struct lanczos6m24 : public std::integral_constant<int, 24> // Max experimental error (with arbitrary precision arithmetic) 1.196214e-17 // Generated with compiler: Microsoft Visual C++ version 8.0 on Win32 at Mar 23 2006 // -struct lanczos13m53 : public std::integral_constant<int, 53> +struct lanczos13m53 : public boost::math::integral_constant<int, 53> { // // Use for double precision, when evaluated as a double: // template <class T> - static T lanczos_sum(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum(const T& z) { // LCOV_EXCL_START - static const T num[13] = { + BOOST_MATH_STATIC const T num[13] = { static_cast<T>(23531376880.41075968857200767445163675473L), static_cast<T>(42919803642.64909876895789904700198885093L), static_cast<T>(35711959237.35566804944018545154716670596L), @@ -570,30 +574,30 @@ struct lanczos13m53 : public std::integral_constant<int, 53> static_cast<T>(210.8242777515793458725097339207133627117L), static_cast<T>(2.506628274631000270164908177133837338626L) }; - static const BOOST_MATH_INT_TABLE_TYPE(T, std::uint32_t) denom[13] = { - static_cast<std::uint32_t>(0u), - static_cast<std::uint32_t>(39916800u), - static_cast<std::uint32_t>(120543840u), - static_cast<std::uint32_t>(150917976u), - static_cast<std::uint32_t>(105258076u), - static_cast<std::uint32_t>(45995730u), - static_cast<std::uint32_t>(13339535u), - static_cast<std::uint32_t>(2637558u), - static_cast<std::uint32_t>(357423u), - static_cast<std::uint32_t>(32670u), - static_cast<std::uint32_t>(1925u), - static_cast<std::uint32_t>(66u), - static_cast<std::uint32_t>(1u) + BOOST_MATH_STATIC const BOOST_MATH_INT_TABLE_TYPE(T, boost::math::uint32_t) denom[13] = { + static_cast<boost::math::uint32_t>(0u), + static_cast<boost::math::uint32_t>(39916800u), + static_cast<boost::math::uint32_t>(120543840u), + static_cast<boost::math::uint32_t>(150917976u), + static_cast<boost::math::uint32_t>(105258076u), + static_cast<boost::math::uint32_t>(45995730u), + static_cast<boost::math::uint32_t>(13339535u), + static_cast<boost::math::uint32_t>(2637558u), + static_cast<boost::math::uint32_t>(357423u), + static_cast<boost::math::uint32_t>(32670u), + static_cast<boost::math::uint32_t>(1925u), + static_cast<boost::math::uint32_t>(66u), + static_cast<boost::math::uint32_t>(1u) }; // LCOV_EXCL_STOP return boost::math::tools::evaluate_rational(num, denom, z); } template <class T> - static T lanczos_sum_expG_scaled(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_expG_scaled(const T& z) { // LCOV_EXCL_START - static const T num[13] = { + BOOST_MATH_STATIC const T num[13] = { static_cast<T>(56906521.91347156388090791033559122686859L), static_cast<T>(103794043.1163445451906271053616070238554L), static_cast<T>(86363131.28813859145546927288977868422342L), @@ -608,20 +612,20 @@ struct lanczos13m53 : public std::integral_constant<int, 53> static_cast<T>(0.5098416655656676188125178644804694509993L), static_cast<T>(0.006061842346248906525783753964555936883222L) }; - static const BOOST_MATH_INT_TABLE_TYPE(T, std::uint32_t) denom[13] = { - static_cast<std::uint32_t>(0u), - static_cast<std::uint32_t>(39916800u), - static_cast<std::uint32_t>(120543840u), - static_cast<std::uint32_t>(150917976u), - static_cast<std::uint32_t>(105258076u), - static_cast<std::uint32_t>(45995730u), - static_cast<std::uint32_t>(13339535u), - static_cast<std::uint32_t>(2637558u), - static_cast<std::uint32_t>(357423u), - static_cast<std::uint32_t>(32670u), - static_cast<std::uint32_t>(1925u), - static_cast<std::uint32_t>(66u), - static_cast<std::uint32_t>(1u) + BOOST_MATH_STATIC const BOOST_MATH_INT_TABLE_TYPE(T, boost::math::uint32_t) denom[13] = { + static_cast<boost::math::uint32_t>(0u), + static_cast<boost::math::uint32_t>(39916800u), + static_cast<boost::math::uint32_t>(120543840u), + static_cast<boost::math::uint32_t>(150917976u), + static_cast<boost::math::uint32_t>(105258076u), + static_cast<boost::math::uint32_t>(45995730u), + static_cast<boost::math::uint32_t>(13339535u), + static_cast<boost::math::uint32_t>(2637558u), + static_cast<boost::math::uint32_t>(357423u), + static_cast<boost::math::uint32_t>(32670u), + static_cast<boost::math::uint32_t>(1925u), + static_cast<boost::math::uint32_t>(66u), + static_cast<boost::math::uint32_t>(1u) }; // LCOV_EXCL_STOP return boost::math::tools::evaluate_rational(num, denom, z); @@ -629,10 +633,10 @@ struct lanczos13m53 : public std::integral_constant<int, 53> template<class T> - static T lanczos_sum_near_1(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_1(const T& dz) { // LCOV_EXCL_START - static const T d[12] = { + BOOST_MATH_STATIC const T d[12] = { static_cast<T>(2.208709979316623790862569924861841433016L), static_cast<T>(-3.327150580651624233553677113928873034916L), static_cast<T>(1.483082862367253753040442933770164111678L), @@ -656,10 +660,10 @@ struct lanczos13m53 : public std::integral_constant<int, 53> } template<class T> - static T lanczos_sum_near_2(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_2(const T& dz) { // LCOV_EXCL_START - static const T d[12] = { + BOOST_MATH_STATIC const T d[12] = { static_cast<T>(6.565936202082889535528455955485877361223L), static_cast<T>(-9.8907772644920670589288081640128194231L), static_cast<T>(4.408830289125943377923077727900630927902L), @@ -683,7 +687,7 @@ struct lanczos13m53 : public std::integral_constant<int, 53> return result; } - static double g(){ return 6.024680040776729583740234375; } + BOOST_MATH_GPU_ENABLED static double g(){ return 6.024680040776729583740234375; } }; // @@ -691,16 +695,16 @@ struct lanczos13m53 : public std::integral_constant<int, 53> // Max experimental error (with arbitrary precision arithmetic) 2.7699e-26 // Generated with compiler: Microsoft Visual C++ version 8.0 on Win32 at Mar 23 2006 // -struct lanczos17m64 : public std::integral_constant<int, 64> +struct lanczos17m64 : public boost::math::integral_constant<int, 64> { // // Use for extended-double precision, when evaluated as an extended-double: // template <class T> - static T lanczos_sum(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum(const T& z) { // LCOV_EXCL_START - static const T num[17] = { + BOOST_MATH_STATIC const T num[17] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 553681095419291969.2230556393350368550504)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 731918863887667017.2511276782146694632234)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 453393234285807339.4627124634539085143364)), @@ -719,7 +723,7 @@ struct lanczos17m64 : public std::integral_constant<int, 64> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 488.0063567520005730476791712814838113252)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2.50662827463100050241576877135758834683)) }; - static const BOOST_MATH_INT_TABLE_TYPE(T, std::uint64_t) denom[17] = { + BOOST_MATH_STATIC const BOOST_MATH_INT_TABLE_TYPE(T, boost::math::uint64_t) denom[17] = { BOOST_MATH_INT_VALUE_SUFFIX(0, uLL), BOOST_MATH_INT_VALUE_SUFFIX(1307674368000, uLL), BOOST_MATH_INT_VALUE_SUFFIX(4339163001600, uLL), @@ -743,10 +747,10 @@ struct lanczos17m64 : public std::integral_constant<int, 64> } template <class T> - static T lanczos_sum_expG_scaled(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_expG_scaled(const T& z) { // LCOV_EXCL_START - static const T num[17] = { + BOOST_MATH_STATIC const T num[17] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2715894658327.717377557655133124376674911)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 3590179526097.912105038525528721129550434)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 2223966599737.814969312127353235818710172)), @@ -765,7 +769,7 @@ struct lanczos17m64 : public std::integral_constant<int, 64> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.002393749522058449186690627996063983095463)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 0.1229541408909435212800785616808830746135e-4)) }; - static const BOOST_MATH_INT_TABLE_TYPE(T, std::uint64_t) denom[17] = { + BOOST_MATH_STATIC const BOOST_MATH_INT_TABLE_TYPE(T, boost::math::uint64_t) denom[17] = { BOOST_MATH_INT_VALUE_SUFFIX(0, uLL), BOOST_MATH_INT_VALUE_SUFFIX(1307674368000, uLL), BOOST_MATH_INT_VALUE_SUFFIX(4339163001600, uLL), @@ -790,10 +794,10 @@ struct lanczos17m64 : public std::integral_constant<int, 64> template<class T> - static T lanczos_sum_near_1(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_1(const T& dz) { // LCOV_EXCL_START - static const T d[16] = { + BOOST_MATH_STATIC const T d[16] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 4.493645054286536365763334986866616581265)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -16.95716370392468543800733966378143997694)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 26.19196892983737527836811770970479846644)), @@ -821,10 +825,10 @@ struct lanczos17m64 : public std::integral_constant<int, 64> } template<class T> - static T lanczos_sum_near_2(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_2(const T& dz) { // LCOV_EXCL_START - static const T d[16] = { + BOOST_MATH_STATIC const T d[16] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 23.56409085052261327114594781581930373708)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, -88.92116338946308797946237246006238652361)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 64, 137.3472822086847596961177383569603988797)), @@ -852,7 +856,7 @@ struct lanczos17m64 : public std::integral_constant<int, 64> return result; } - static double g(){ return 12.2252227365970611572265625; } + BOOST_MATH_GPU_ENABLED static double g(){ return 12.2252227365970611572265625; } }; // @@ -860,16 +864,16 @@ struct lanczos17m64 : public std::integral_constant<int, 64> // Max experimental error (with arbitrary precision arithmetic) 1.0541e-38 // Generated with compiler: Microsoft Visual C++ version 8.0 on Win32 at Mar 23 2006 // -struct lanczos24m113 : public std::integral_constant<int, 113> +struct lanczos24m113 : public boost::math::integral_constant<int, 113> { // // Use for long-double precision, when evaluated as an long-double: // template <class T> - static T lanczos_sum(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum(const T& z) { // LCOV_EXCL_START - static const T num[24] = { + BOOST_MATH_STATIC const T num[24] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 2029889364934367661624137213253.22102954656825019111612712252027267955023987678816620961507)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 2338599599286656537526273232565.2727349714338768161421882478417543004440597874814359063158)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 1288527989493833400335117708406.3953711906175960449186720680201425446299360322830739180195)), @@ -895,7 +899,7 @@ struct lanczos24m113 : public std::integral_constant<int, 113> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 1151.61895453463992438325318456328526085882924197763140514450975619271382783957699017875304)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 2.50662827463100050241576528481104515966515623051532908941425544355490413900497467936202516)) }; - static const T denom[24] = { + BOOST_MATH_STATIC const T denom[24] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 0.0)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 0.112400072777760768e22)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 0.414847677933545472e22)), @@ -926,10 +930,10 @@ struct lanczos24m113 : public std::integral_constant<int, 113> } template <class T> - static T lanczos_sum_expG_scaled(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_expG_scaled(const T& z) { // LCOV_EXCL_START - static const T num[24] = { + BOOST_MATH_STATIC const T num[24] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 3035162425359883494754.02878223286972654682199012688209026810841953293372712802258398358538)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 3496756894406430103600.16057175075063458536101374170860226963245118484234495645518505519827)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 1926652656689320888654.01954015145958293168365236755537645929361841917596501251362171653478)), @@ -955,7 +959,7 @@ struct lanczos24m113 : public std::integral_constant<int, 113> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 0.172194142179211139195966608011235161516824700287310869949928393345257114743230967204370963e-5)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 0.374799931707148855771381263542708435935402853962736029347951399323367765509988401336565436e-8)) }; - static const T denom[24] = { + BOOST_MATH_STATIC const T denom[24] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 0.0)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 0.112400072777760768e22)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 0.414847677933545472e22)), @@ -987,10 +991,10 @@ struct lanczos24m113 : public std::integral_constant<int, 113> template<class T> - static T lanczos_sum_near_1(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_1(const T& dz) { // LCOV_EXCL_START - static const T d[23] = { + BOOST_MATH_STATIC const T d[23] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 7.4734083002469026177867421609938203388868806387315406134072298925733950040583068760685908)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, -50.4225805042247530267317342133388132970816607563062253708655085754357843064134941138154171)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 152.288200621747008570784082624444625293884063492396162110698238568311211546361189979357019)), @@ -1025,10 +1029,10 @@ struct lanczos24m113 : public std::integral_constant<int, 113> } template<class T> - static T lanczos_sum_near_2(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_2(const T& dz) { // LCOV_EXCL_START - static const T d[23] = { + BOOST_MATH_STATIC const T d[23] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 61.4165001061101455341808888883960361969557848005400286332291451422461117307237198559485365)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, -414.372973678657049667308134761613915623353625332248315105320470271523320700386200587519147)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 113, 1251.50505818554680171298972755376376836161706773644771875668053742215217922228357204561873)), @@ -1063,7 +1067,7 @@ struct lanczos24m113 : public std::integral_constant<int, 113> return result; } - static double g(){ return 20.3209821879863739013671875; } + BOOST_MATH_GPU_ENABLED static double g(){ return 20.3209821879863739013671875; } }; // @@ -1072,13 +1076,13 @@ struct lanczos24m113 : public std::integral_constant<int, 113> // Generated with compiler: Microsoft Visual C++ version 14.2 on Win32 at May 23 2021 // Type precision was 134 bits or 42 max_digits10 // -struct lanczos27MP : public std::integral_constant<int, 134> +struct lanczos27MP : public boost::math::integral_constant<int, 134> { template <class T> - static T lanczos_sum(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum(const T& z) { // LCOV_EXCL_START - static const T num[27] = { + BOOST_MATH_STATIC const T num[27] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 2.532923291341302819860952064783714673718970e+36)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 2.715272050979243637524956158081893927075092e+36)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 1.399396313336459710065708403038293278484916e+36)), @@ -1107,7 +1111,7 @@ struct lanczos27MP : public std::integral_constant<int, 134> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 1.580741273679785112052701460119954412080073e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 2.506628274631000502415765284811045253005320e+00)) }; - static const T denom[27] = { + BOOST_MATH_STATIC const T denom[27] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 0.000000000000000000000000000000000000000000e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 1.551121004333098598400000000000000000000000e+25)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 5.919012881170120359936000000000000000000000e+25)), @@ -1141,10 +1145,10 @@ struct lanczos27MP : public std::integral_constant<int, 134> } template <class T> - static T lanczos_sum_expG_scaled(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_expG_scaled(const T& z) { // LCOV_EXCL_START - static const T num[27] = { + BOOST_MATH_STATIC const T num[27] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 4.630539114451826442425094380936505531231478e+25)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 4.963898228350662244301785145431331232866294e+25)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 2.558292778812387748738731408569861630189290e+25)), @@ -1173,7 +1177,7 @@ struct lanczos27MP : public std::integral_constant<int, 134> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 2.889816806780013044430000551700375309307825e-08)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 4.582468135039046226997146555551548992616343e-11)) }; - static const T denom[27] = { + BOOST_MATH_STATIC const T denom[27] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 0.000000000000000000000000000000000000000000e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 1.551121004333098598400000000000000000000000e+25)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 5.919012881170120359936000000000000000000000e+25)), @@ -1208,10 +1212,10 @@ struct lanczos27MP : public std::integral_constant<int, 134> template<class T> - static T lanczos_sum_near_1(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_1(const T& dz) { // LCOV_EXCL_START - static const T d[34] = { + BOOST_MATH_STATIC const T d[34] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 6.264579889722939745225908247624593169040293e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, -3.470545597111704235784909052092266897169254e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 8.398164226943527197542310295220360303173237e+01)), @@ -1257,10 +1261,10 @@ struct lanczos27MP : public std::integral_constant<int, 134> } template<class T> - static T lanczos_sum_near_2(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_2(const T& dz) { // LCOV_EXCL_START - static const T d[34] = { + BOOST_MATH_STATIC const T d[34] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 4.391991857844535020743473289228849738381662e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, -2.433141291692735004291785549611375831426138e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 134, 5.887812040849956173864447000497922705559488e+02)), @@ -1306,10 +1310,10 @@ struct lanczos27MP : public std::integral_constant<int, 134> return result; } - static double g() { return 2.472513680905104038743047567550092935562134e+01; } + BOOST_MATH_GPU_ENABLED static double g() { return 2.472513680905104038743047567550092935562134e+01; } }; -inline double lanczos_g_near_1_and_2(const lanczos27MP&) +BOOST_MATH_GPU_ENABLED inline double lanczos_g_near_1_and_2(const lanczos27MP&) { return 17.03623256087303; } @@ -1320,13 +1324,13 @@ inline double lanczos_g_near_1_and_2(const lanczos27MP&) // Generated with compiler: Microsoft Visual C++ version 14.2 on Win32 at Oct 14 2019 // Type precision was 168 bits or 53 max_digits10 // -struct lanczos35MP : public std::integral_constant<int, 168> +struct lanczos35MP : public boost::math::integral_constant<int, 168> { template <class T> - static T lanczos_sum(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum(const T& z) { // LCOV_EXCL_START - static const T num[35] = { + BOOST_MATH_STATIC const T num[35] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 2.17215050716253100021302249837728942659410271586236104e+50)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 2.51055117651708470336913962553466820524801246971658127e+50)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 1.40813458996718289733677017073036013655624930344397267e+50)), @@ -1363,7 +1367,7 @@ struct lanczos35MP : public std::integral_constant<int, 168> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 2.50897418653428667959996348205296461689142907811767371e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 2.50662827463100050241576528481104525300698674060984055e+00)) }; - static const T denom[35] = { + BOOST_MATH_STATIC const T denom[35] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 0.00000000000000000000000000000000000000000000000000000e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 8.68331761881188649551819440128000000000000000000000000e+36)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 3.55043336733310191803732770947072000000000000000000000e+37)), @@ -1405,10 +1409,10 @@ struct lanczos35MP : public std::integral_constant<int, 168> } template <class T> - static T lanczos_sum_expG_scaled(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_expG_scaled(const T& z) { // LCOV_EXCL_START - static const T num[35] = { + BOOST_MATH_STATIC const T num[35] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 2.84421398435712762388902267099927585742388886580864424e+37)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 3.28731583799033736725852757551292030085556435695468295e+37)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 1.84381150359300352571680869181416248982215282642834936e+37)), @@ -1445,7 +1449,7 @@ struct lanczos35MP : public std::integral_constant<int, 168> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 3.28525092722679899458094768960179796663588010298597603e-10)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 3.28217919006153582429216342066702743329957749672852350e-13)) }; - static const T denom[35] = { + BOOST_MATH_STATIC const T denom[35] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 0.00000000000000000000000000000000000000000000000000000e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 8.68331761881188649551819440128000000000000000000000000e+36)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 3.55043336733310191803732770947072000000000000000000000e+37)), @@ -1488,10 +1492,10 @@ struct lanczos35MP : public std::integral_constant<int, 168> template<class T> - static T lanczos_sum_near_1(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_1(const T& dz) { // LCOV_EXCL_START - static const T d[42] = { + BOOST_MATH_STATIC const T d[42] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 8.2258008829795701933757823508857131818190413131511363e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, -6.1680809698202901664719598422224259984110345848176138e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 2.0937956909159916126016144892534179459545368045658870e+02)), @@ -1545,10 +1549,10 @@ struct lanczos35MP : public std::integral_constant<int, 168> } template<class T> - static T lanczos_sum_near_2(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_2(const T& dz) { // LCOV_EXCL_START - static const T d[42] = { + BOOST_MATH_STATIC const T d[42] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 7.3782193657165970743894979068466124765194827248379940e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, -5.5325256602067816772285455933211570612342576586214891e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 168, 1.8780522570799869937961476290263461833002660531646012e+03)), @@ -1602,10 +1606,10 @@ struct lanczos35MP : public std::integral_constant<int, 168> return result; } - static double g() { return 2.96640371531248092651367187500000000000000000000000000e+01; } + BOOST_MATH_GPU_ENABLED static double g() { return 2.96640371531248092651367187500000000000000000000000000e+01; } }; -inline double lanczos_g_near_1_and_2(const lanczos35MP&) +BOOST_MATH_GPU_ENABLED inline double lanczos_g_near_1_and_2(const lanczos35MP&) { return 22.36563469469547; } @@ -1615,13 +1619,13 @@ inline double lanczos_g_near_1_and_2(const lanczos35MP&) // Generated with compiler: Microsoft Visual C++ version 14.2 on Win32 at Oct 14 2019 // Type precision was 201 bits or 63 max_digits10 // -struct lanczos48MP : public std::integral_constant<int, 201> +struct lanczos48MP : public boost::math::integral_constant<int, 201> { template <class T> - static T lanczos_sum(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum(const T& z) { // LCOV_EXCL_START - static const T num[48] = { + BOOST_MATH_STATIC const T num[48] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 5.761757987425932419978923296640371540367427757167447418730589877e+70)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 8.723233313564421930629677035555276136256253817229396631458438691e+70)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 6.460052620548943146316510839385235752729444155384745952604400014e+70)), @@ -1671,7 +1675,7 @@ struct lanczos48MP : public std::integral_constant<int, 201> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 3.749690888961891063146468955091435916957208840312184463551812828e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 2.506628274631000502415765284811045253006986740609938316629929233e+00)) }; - static const T denom[48] = { + BOOST_MATH_STATIC const T denom[48] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 0.000000000000000000000000000000000000000000000000000000000000000e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 5.502622159812088949850305428800254892961651752960000000000000000e+57)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 2.430336111272256671478593169569751383305061494947840000000000000e+58)), @@ -1726,10 +1730,10 @@ struct lanczos48MP : public std::integral_constant<int, 201> } template <class T> - static T lanczos_sum_expG_scaled(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_expG_scaled(const T& z) { // LCOV_EXCL_START - static const T num[48] = { + BOOST_MATH_STATIC const T num[48] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 1.775732062655417998910881298714821053061055705608286949609421120e+58)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 2.688437299644448784121592662352787426980194425446481703306505899e+58)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 1.990941408817264621124181941423397180231807676408175000011574647e+58)), @@ -1779,7 +1783,7 @@ struct lanczos48MP : public std::integral_constant<int, 201> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 1.155627562127299657410444702080985966726894475302009989071093439e-09)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 7.725246714864934496649491688787278190129598018071339049048385845e-13)) }; - static const T denom[48] = { + BOOST_MATH_STATIC const T denom[48] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 0.000000000000000000000000000000000000000000000000000000000000000e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 5.502622159812088949850305428800254892961651752960000000000000000e+57)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 2.430336111272256671478593169569751383305061494947840000000000000e+58)), @@ -1835,10 +1839,10 @@ struct lanczos48MP : public std::integral_constant<int, 201> template<class T> - static T lanczos_sum_near_1(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_1(const T& dz) { // LCOV_EXCL_START - static const T d[47] = { + BOOST_MATH_STATIC const T d[47] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 1.059629332377126683204423480567078764834299559082175332563440691e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, -1.045539783916612448318159279915745234781500064405838259582295756e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 4.784116147862702971548198855631720823614071322755242269800139953e+02)), @@ -1897,10 +1901,10 @@ struct lanczos48MP : public std::integral_constant<int, 201> } template<class T> - static T lanczos_sum_near_2(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_2(const T& dz) { // LCOV_EXCL_START - static const T d[47] = { + BOOST_MATH_STATIC const T d[47] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 1.201442621036266842137537764128372139686555918574926377003612763e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, -1.185467427150643969519910927764836582205108528009141221591420898e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 201, 5.424388386017623557963301151646679462091516489317860889362683594e+03)), @@ -1959,7 +1963,7 @@ struct lanczos48MP : public std::integral_constant<int, 201> return result; } - static double g() { return 2.880805098265409469604492187500000000000000000000000000000000000e+01; } + BOOST_MATH_GPU_ENABLED static double g() { return 2.880805098265409469604492187500000000000000000000000000000000000e+01; } }; // // Lanczos Coefficients for N=49 G=3.531905273437499914734871708787977695465087890625000000000000000000000000e+01 @@ -1967,13 +1971,13 @@ struct lanczos48MP : public std::integral_constant<int, 201> // Generated with compiler: Microsoft Visual C++ version 14.2 on Win32 at May 23 2021 // Type precision was 234 bits or 72 max_digits10 // -struct lanczos49MP : public std::integral_constant<int, 234> +struct lanczos49MP : public boost::math::integral_constant<int, 234> { template <class T> - static T lanczos_sum(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum(const T& z) { // LCOV_EXCL_START - static const T num[49] = { + BOOST_MATH_STATIC const T num[49] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 2.019754080776483553135944314398390557182640085494778723336498544843678485e+75)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 2.676059842235360762770131859925648183945167646928679564649946220888559950e+75)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 1.735650057396761011129552305882284776566019938011364428733911563803428382e+75)), @@ -2024,7 +2028,7 @@ struct lanczos49MP : public std::integral_constant<int, 234> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 4.390800780998954208500039666019609185743083611214630479125238184115750385e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 2.506628274631000502415765284811045253006986740609938316629923576327386304e+00)) }; - static const T denom[49] = { + BOOST_MATH_STATIC const T denom[49] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 0.000000000000000000000000000000000000000000000000000000000000000000000000e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 2.586232415111681806429643551536119799691976323891200000000000000000000000e+59)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 1.147760594457772724544789095126583405046340554378444800000000000000000000e+60)), @@ -2080,10 +2084,10 @@ struct lanczos49MP : public std::integral_constant<int, 234> } template <class T> - static T lanczos_sum_expG_scaled(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_expG_scaled(const T& z) { // LCOV_EXCL_START - static const T num[49] = { + BOOST_MATH_STATIC const T num[49] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 9.256115936295239128792053510340342045264892843178101822334871337037830072e+59)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 1.226382973449509462464247401218271019985727521806127065773488938845990367e+60)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 7.954125855720840120393676022050001333138789037332565663424594891457273557e+59)), @@ -2134,7 +2138,7 @@ struct lanczos49MP : public std::integral_constant<int, 234> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 2.012213341659767638341287600182102653785253052492980766472349845276996656e-12)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 1.148735984247176123115370642724455566337349193609892794757225210307646070e-15)) }; - static const T denom[49] = { + BOOST_MATH_STATIC const T denom[49] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 0.000000000000000000000000000000000000000000000000000000000000000000000000e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 2.586232415111681806429643551536119799691976323891200000000000000000000000e+59)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 1.147760594457772724544789095126583405046340554378444800000000000000000000e+60)), @@ -2191,10 +2195,10 @@ struct lanczos49MP : public std::integral_constant<int, 234> template<class T> - static T lanczos_sum_near_1(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_1(const T& dz) { // LCOV_EXCL_START - static const T d[48] = { + BOOST_MATH_STATIC const T d[48] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 1.233965513689195496302526816415068018137532804347903252026160914018410959e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, -1.432567696701419045483804034990696504881298696037704685583731202573594084e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 7.800990151010204780591569831451389602736047219596430673280355834870101274e+02)), @@ -2254,10 +2258,10 @@ struct lanczos49MP : public std::integral_constant<int, 234> } template<class T> - static T lanczos_sum_near_2(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_2(const T& dz) { // LCOV_EXCL_START - static const T d[48] = { + BOOST_MATH_STATIC const T d[48] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 1.614127734928823683399031924928203896697519780457812139739363243361356121e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, -1.873915620620241270111954934939697069495813017577862172724257417200307532e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 234, 1.020433263568799913803105156119729477192007677199414299858195073560627451e+04)), @@ -2317,10 +2321,10 @@ struct lanczos49MP : public std::integral_constant<int, 234> return result; } - static double g() { return 3.531905273437499914734871708787977695465087890625000000000000000000000000e+01; } + BOOST_MATH_GPU_ENABLED static double g() { return 3.531905273437499914734871708787977695465087890625000000000000000000000000e+01; } }; -inline double lanczos_g_near_1_and_2(const lanczos49MP&) +BOOST_MATH_GPU_ENABLED inline double lanczos_g_near_1_and_2(const lanczos49MP&) { return 33.54638671875000; } @@ -2331,13 +2335,13 @@ inline double lanczos_g_near_1_and_2(const lanczos49MP&) // Generated with compiler: Microsoft Visual C++ version 14.2 on Win32 at May 22 2021 // Type precision was 267 bits or 82 max_digits10 // -struct lanczos52MP : public std::integral_constant<int, 267> +struct lanczos52MP : public boost::math::integral_constant<int, 267> { template <class T> - static T lanczos_sum(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum(const T& z) { // LCOV_EXCL_START - static const T num[52] = { + BOOST_MATH_STATIC const T num[52] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 6.2155666558597192337239536765115831322604714024167432764126799013946738944179064162e+86)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 6.4127424062560995063147129656553600039438028633959646865531341376543275935920940510e+86)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 3.2432219642804430367752303997394644425738553439619047355470691880100895245432999409e+86)), @@ -2391,7 +2395,7 @@ struct lanczos52MP : public std::integral_constant<int, 267> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 6.3192906485096381210566149918556620595525679738152760526187454875638091923687554946e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 2.5066282746310005024157652848110452530069867406099383166299235763422936546004304390e+00)) }; - static const T denom[52] = { + BOOST_MATH_STATIC const T denom[52] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 3.0414093201713378043612608166064768844377641568960512000000000000000000000000000000e+64)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 1.3683925049359750564345782687270252191318781054337155072000000000000000000000000000e+65)), @@ -2450,10 +2454,10 @@ struct lanczos52MP : public std::integral_constant<int, 267> } template <class T> - static T lanczos_sum_expG_scaled(const T& z) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_expG_scaled(const T& z) { // LCOV_EXCL_START - static const T num[52] = { + BOOST_MATH_STATIC const T num[52] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 1.2968364952374867351881152115042817894191583875220489481700563388077315440993668645e+65)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 1.3379758994539627857606593702434364057385206718035611620158459666404856221820703129e+65)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 6.7667661507089657936560642518188013126674666141084536651063996312630940638352438169e+64)), @@ -2507,7 +2511,7 @@ struct lanczos52MP : public std::integral_constant<int, 267> static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 1.3184778139696006596104645792244972612333458493576785210966728195969324996631733257e-18)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 5.2299125832253333486600023635817464870204660970908989075481425992405717273229096642e-22)) }; - static const T denom[52] = { + BOOST_MATH_STATIC const T denom[52] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000e+00)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 3.0414093201713378043612608166064768844377641568960512000000000000000000000000000000e+64)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 1.3683925049359750564345782687270252191318781054337155072000000000000000000000000000e+65)), @@ -2567,10 +2571,10 @@ struct lanczos52MP : public std::integral_constant<int, 267> template<class T> - static T lanczos_sum_near_1(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_1(const T& dz) { // LCOV_EXCL_START - static const T d[56] = { + BOOST_MATH_STATIC const T d[56] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 1.4249481633301349696310814410227012806541100102720500928500445853537331413655453290e+01)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, -1.9263209672927829270913652941762375058727326960303110137656951784697992824730035351e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 1.2326134462101140657073655882621393643823409472993225649429843685598155061860815843e+03)), @@ -2638,10 +2642,10 @@ struct lanczos52MP : public std::integral_constant<int, 267> } template<class T> - static T lanczos_sum_near_2(const T& dz) + BOOST_MATH_GPU_ENABLED static T lanczos_sum_near_2(const T& dz) { // LCOV_EXCL_START - static const T d[56] = { + BOOST_MATH_STATIC const T d[56] = { static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 2.1359871474796665853092357455924330354587340093067807143261699873815704783987359772e+02)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, -2.8875414095359657817766255009397774415784763914903057809977502598124862632510767554e+03)), static_cast<T>(BOOST_MATH_BIG_CONSTANT(T, 267, 1.8476787764422274017528261804071971508619123082396685980448133660376964287516316704e+04)), @@ -2709,10 +2713,10 @@ struct lanczos52MP : public std::integral_constant<int, 267> return result; } - static double g() { return 4.9921416015624998863131622783839702606201171875000000000000000000000000000000000000e+01; } + BOOST_MATH_GPU_ENABLED static double g() { return 4.9921416015624998863131622783839702606201171875000000000000000000000000000000000000e+01; } }; -inline double lanczos_g_near_1_and_2(const lanczos52MP&) +BOOST_MATH_GPU_ENABLED inline double lanczos_g_near_1_and_2(const lanczos52MP&) { return 38.73733398437500; } @@ -2721,24 +2725,24 @@ inline double lanczos_g_near_1_and_2(const lanczos52MP&) // // placeholder for no lanczos info available: // -struct undefined_lanczos : public std::integral_constant<int, (std::numeric_limits<int>::max)() - 1> { }; +struct undefined_lanczos : public boost::math::integral_constant<int, (boost::math::numeric_limits<int>::max)() - 1> { }; template <class Real, class Policy> struct lanczos { - static constexpr auto target_precision = policies::precision<Real, Policy>::type::value <= 0 ? (std::numeric_limits<int>::max)()-2 : + BOOST_MATH_STATIC constexpr auto target_precision = policies::precision<Real, Policy>::type::value <= 0 ? (boost::math::numeric_limits<int>::max)()-2 : policies::precision<Real, Policy>::type::value; - using type = typename std::conditional<(target_precision <= lanczos6m24::value), lanczos6m24, - typename std::conditional<(target_precision <= lanczos13m53::value), lanczos13m53, - typename std::conditional<(target_precision <= lanczos11::value), lanczos11, - typename std::conditional<(target_precision <= lanczos17m64::value), lanczos17m64, - typename std::conditional<(target_precision <= lanczos24m113::value), lanczos24m113, - typename std::conditional<(target_precision <= lanczos27MP::value), lanczos27MP, - typename std::conditional<(target_precision <= lanczos35MP::value), lanczos35MP, - typename std::conditional<(target_precision <= lanczos48MP::value), lanczos48MP, - typename std::conditional<(target_precision <= lanczos49MP::value), lanczos49MP, - typename std::conditional<(target_precision <= lanczos52MP::value), lanczos52MP, undefined_lanczos>::type + using type = typename boost::math::conditional<(target_precision <= lanczos6m24::value), lanczos6m24, + typename boost::math::conditional<(target_precision <= lanczos13m53::value), lanczos13m53, + typename boost::math::conditional<(target_precision <= lanczos11::value), lanczos11, + typename boost::math::conditional<(target_precision <= lanczos17m64::value), lanczos17m64, + typename boost::math::conditional<(target_precision <= lanczos24m113::value), lanczos24m113, + typename boost::math::conditional<(target_precision <= lanczos27MP::value), lanczos27MP, + typename boost::math::conditional<(target_precision <= lanczos35MP::value), lanczos35MP, + typename boost::math::conditional<(target_precision <= lanczos48MP::value), lanczos48MP, + typename boost::math::conditional<(target_precision <= lanczos49MP::value), lanczos49MP, + typename boost::math::conditional<(target_precision <= lanczos52MP::value), lanczos52MP, undefined_lanczos>::type >::type>::type>::type>::type>::type>::type>::type>::type >::type; }; @@ -2748,7 +2752,7 @@ struct lanczos } // namespace boost #if !defined(_CRAYC) && !defined(__CUDACC__) && (!defined(__GNUC__) || (__GNUC__ > 3) || ((__GNUC__ == 3) && (__GNUC_MINOR__ > 3))) -#if ((defined(_M_IX86_FP) && (_M_IX86_FP >= 2)) || defined(__SSE2__) || defined(_M_AMD64) || defined(_M_X64)) && !defined(_MANAGED) +#if ((defined(_M_IX86_FP) && (_M_IX86_FP >= 2)) || defined(__SSE2__) || defined(_M_AMD64) || defined(_M_X64)) && !defined(_MANAGED) && !defined(BOOST_MATH_HAS_GPU_SUPPORT) #include <boost/math/special_functions/detail/lanczos_sse2.hpp> #endif #endif diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/log1p.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/log1p.hpp index 9b8a8e0eb7..758f606687 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/log1p.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/log1p.hpp @@ -12,13 +12,14 @@ #pragma warning(disable:4702) // Unreachable code (release mode only warning) #endif -#include <cmath> -#include <cstdint> -#include <limits> #include <boost/math/tools/config.hpp> #include <boost/math/tools/series.hpp> #include <boost/math/tools/rational.hpp> #include <boost/math/tools/big_constant.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/promotion.hpp> +#include <boost/math/tools/precision.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/tools/assert.hpp> @@ -47,16 +48,16 @@ namespace detail { typedef T result_type; - log1p_series(T x) + BOOST_MATH_GPU_ENABLED log1p_series(T x) : k(0), m_mult(-x), m_prod(-1){} - T operator()() + BOOST_MATH_GPU_ENABLED T operator()() { m_prod *= m_mult; return m_prod / ++k; } - int count()const + BOOST_MATH_GPU_ENABLED int count()const { return k; } @@ -79,12 +80,12 @@ namespace detail // it performs no better than log(1+x): which is to say not very well at all. // template <class T, class Policy> -T log1p_imp(T const & x, const Policy& pol, const std::integral_constant<int, 0>&) +BOOST_MATH_GPU_ENABLED T log1p_imp(T const & x, const Policy& pol, const boost::math::integral_constant<int, 0>&) { // The function returns the natural logarithm of 1 + x. typedef typename tools::promote_args<T>::type result_type; BOOST_MATH_STD_USING - static const char* function = "boost::math::log1p<%1%>(%1%)"; + constexpr auto function = "boost::math::log1p<%1%>(%1%)"; if((x < -1) || (boost::math::isnan)(x)) return policies::raise_domain_error<T>( @@ -101,7 +102,7 @@ T log1p_imp(T const & x, const Policy& pol, const std::integral_constant<int, 0> if(a < tools::epsilon<result_type>()) return x; detail::log1p_series<result_type> s(x); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); result_type result = tools::sum_series(s, policies::get_epsilon<result_type, Policy>(), max_iter); @@ -110,11 +111,11 @@ T log1p_imp(T const & x, const Policy& pol, const std::integral_constant<int, 0> } template <class T, class Policy> -T log1p_imp(T const& x, const Policy& pol, const std::integral_constant<int, 53>&) +BOOST_MATH_GPU_ENABLED T log1p_imp(T const& x, const Policy& pol, const boost::math::integral_constant<int, 53>&) { // The function returns the natural logarithm of 1 + x. BOOST_MATH_STD_USING - static const char* function = "boost::math::log1p<%1%>(%1%)"; + constexpr auto function = "boost::math::log1p<%1%>(%1%)"; if(x < -1) return policies::raise_domain_error<T>( @@ -135,7 +136,7 @@ T log1p_imp(T const& x, const Policy& pol, const std::integral_constant<int, 53> // Expected Error Term: 1.843e-017 // Maximum Relative Change in Control Points: 8.138e-004 // Max Error found at double precision = 3.250766e-016 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { static_cast<T>(0.15141069795941984e-16L), static_cast<T>(0.35495104378055055e-15L), static_cast<T>(0.33333333333332835L), @@ -145,7 +146,7 @@ T log1p_imp(T const& x, const Policy& pol, const std::integral_constant<int, 53> static_cast<T>(0.13703234928513215L), static_cast<T>(0.011294864812099712L) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { static_cast<T>(1L), static_cast<T>(3.7274719063011499L), static_cast<T>(5.5387948649720334L), @@ -163,11 +164,11 @@ T log1p_imp(T const& x, const Policy& pol, const std::integral_constant<int, 53> } template <class T, class Policy> -T log1p_imp(T const& x, const Policy& pol, const std::integral_constant<int, 64>&) +BOOST_MATH_GPU_ENABLED T log1p_imp(T const& x, const Policy& pol, const boost::math::integral_constant<int, 64>&) { // The function returns the natural logarithm of 1 + x. BOOST_MATH_STD_USING - static const char* function = "boost::math::log1p<%1%>(%1%)"; + constexpr auto function = "boost::math::log1p<%1%>(%1%)"; if(x < -1) return policies::raise_domain_error<T>( @@ -188,7 +189,7 @@ T log1p_imp(T const& x, const Policy& pol, const std::integral_constant<int, 64> // Expected Error Term: 8.088e-20 // Maximum Relative Change in Control Points: 9.648e-05 // Max Error found at long double precision = 2.242324e-19 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.807533446680736736712e-19), BOOST_MATH_BIG_CONSTANT(T, 64, -0.490881544804798926426e-18), BOOST_MATH_BIG_CONSTANT(T, 64, 0.333333333333333373941), @@ -199,7 +200,7 @@ T log1p_imp(T const& x, const Policy& pol, const std::integral_constant<int, 64> BOOST_MATH_BIG_CONSTANT(T, 64, 0.0706537026422828914622), BOOST_MATH_BIG_CONSTANT(T, 64, 0.00441709903782239229447) }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.0), BOOST_MATH_BIG_CONSTANT(T, 64, 4.26423872346263928361), BOOST_MATH_BIG_CONSTANT(T, 64, 7.48189472704477708962), @@ -218,11 +219,11 @@ T log1p_imp(T const& x, const Policy& pol, const std::integral_constant<int, 64> } template <class T, class Policy> -T log1p_imp(T const& x, const Policy& pol, const std::integral_constant<int, 24>&) +BOOST_MATH_GPU_ENABLED T log1p_imp(T const& x, const Policy& pol, const boost::math::integral_constant<int, 24>&) { // The function returns the natural logarithm of 1 + x. BOOST_MATH_STD_USING - static const char* function = "boost::math::log1p<%1%>(%1%)"; + constexpr auto function = "boost::math::log1p<%1%>(%1%)"; if(x < -1) return policies::raise_domain_error<T>( @@ -244,13 +245,13 @@ T log1p_imp(T const& x, const Policy& pol, const std::integral_constant<int, 24> // Maximum Relative Change in Control Points: 2.509e-04 // Max Error found at double precision = 6.910422e-08 // Max Error found at float precision = 8.357242e-08 - static const T P[] = { + BOOST_MATH_STATIC const T P[] = { -0.671192866803148236519e-7L, 0.119670999140731844725e-6L, 0.333339469182083148598L, 0.237827183019664122066L }; - static const T Q[] = { + BOOST_MATH_STATIC const T Q[] = { 1L, 1.46348272586988539733L, 0.497859871350117338894L, @@ -268,22 +269,24 @@ struct log1p_initializer { struct init { - init() + BOOST_MATH_GPU_ENABLED init() { do_init(tag()); } template <int N> - static void do_init(const std::integral_constant<int, N>&){} - static void do_init(const std::integral_constant<int, 64>&) + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, N>&){} + BOOST_MATH_GPU_ENABLED static void do_init(const boost::math::integral_constant<int, 64>&) { boost::math::log1p(static_cast<T>(0.25), Policy()); } - void force_instantiate()const{} + BOOST_MATH_GPU_ENABLED void force_instantiate()const{} }; - static const init initializer; - static void force_instantiate() + BOOST_MATH_STATIC const init initializer; + BOOST_MATH_GPU_ENABLED static void force_instantiate() { + #ifndef BOOST_MATH_HAS_GPU_SUPPORT initializer.force_instantiate(); + #endif } }; @@ -294,7 +297,7 @@ const typename log1p_initializer<T, Policy, tag>::init log1p_initializer<T, Poli } // namespace detail template <class T, class Policy> -inline typename tools::promote_args<T>::type log1p(T x, const Policy&) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type log1p(T x, const Policy&) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -306,7 +309,7 @@ inline typename tools::promote_args<T>::type log1p(T x, const Policy&) policies::discrete_quantile<>, policies::assert_undefined<> >::type forwarding_policy; - typedef std::integral_constant<int, + typedef boost::math::integral_constant<int, precision_type::value <= 0 ? 0 : precision_type::value <= 53 ? 53 : precision_type::value <= 64 ? 64 : 0 @@ -328,7 +331,7 @@ inline typename tools::promote_args<T>::type log1p(T x, const Policy&) #if defined(BOOST_HAS_LOG1P) && !(defined(__osf__) && defined(__DECCXX_VER)) # ifdef BOOST_MATH_USE_C99 template <class Policy> -inline float log1p(float x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline float log1p(float x, const Policy& pol) { if(x < -1) return policies::raise_domain_error<float>( @@ -340,7 +343,7 @@ inline float log1p(float x, const Policy& pol) } #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS template <class Policy> -inline long double log1p(long double x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline long double log1p(long double x, const Policy& pol) { if(x < -1) return policies::raise_domain_error<long double>( @@ -365,7 +368,7 @@ inline float log1p(float x, const Policy& pol) } #endif template <class Policy> -inline double log1p(double x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline double log1p(double x, const Policy& pol) { if(x < -1) return policies::raise_domain_error<double>( @@ -425,7 +428,7 @@ inline long double log1p(long double x, const Policy& pol) #endif template <class T> -inline typename tools::promote_args<T>::type log1p(T x) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type log1p(T x) { return boost::math::log1p(x, policies::policy<>()); } @@ -433,12 +436,12 @@ inline typename tools::promote_args<T>::type log1p(T x) // Compute log(1+x)-x: // template <class T, class Policy> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type log1pmx(T x, const Policy& pol) { typedef typename tools::promote_args<T>::type result_type; BOOST_MATH_STD_USING - static const char* function = "boost::math::log1pmx<%1%>(%1%)"; + constexpr auto function = "boost::math::log1pmx<%1%>(%1%)"; if(x < -1) return policies::raise_domain_error<T>( @@ -456,7 +459,7 @@ inline typename tools::promote_args<T>::type return -x * x / 2; boost::math::detail::log1p_series<T> s(x); s(); - std::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); + boost::math::uintmax_t max_iter = policies::get_max_series_iterations<Policy>(); T result = boost::math::tools::sum_series(s, policies::get_epsilon<T, Policy>(), max_iter); @@ -465,7 +468,7 @@ inline typename tools::promote_args<T>::type } template <class T> -inline typename tools::promote_args<T>::type log1pmx(T x) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type log1pmx(T x) { return log1pmx(x, policies::policy<>()); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/math_fwd.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/math_fwd.hpp index 3e5d6a7625..91dde74ccc 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/math_fwd.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/math_fwd.hpp @@ -4,6 +4,7 @@ // Copyright Paul A. Bristow 2006. // Copyright John Maddock 2006. +// Copyright Matt Borland 2024 // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. @@ -23,11 +24,91 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/promotion.hpp> // for argument promotion. +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/complex.hpp> +#include <boost/math/policies/policy.hpp> + +#ifdef BOOST_MATH_HAS_NVRTC + +namespace boost { +namespace math { + +template <class RT1, class RT2, class A> +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<RT1, RT2, A>::type +beta(RT1 a, RT2 b, A arg); + +namespace detail{ + + template <class T, class U, class V> + struct ellint_3_result + { + using type = typename boost::math::conditional< + policies::is_policy<V>::value, + tools::promote_args_t<T, U>, + tools::promote_args_t<T, U, V> + >::type; + }; + + template <class T, class U> + struct expint_result + { + using type = typename boost::math::conditional< + policies::is_policy<U>::value, + tools::promote_args_t<T>, + typename tools::promote_args<U>::type + >::type; + }; + + typedef boost::math::integral_constant<int, 0> bessel_no_int_tag; // No integer optimisation possible. + typedef boost::math::integral_constant<int, 1> bessel_maybe_int_tag; // Maybe integer optimisation. + typedef boost::math::integral_constant<int, 2> bessel_int_tag; // Definite integer optimisation. + + template <class T1, class T2, class Policy> + struct bessel_traits + { + using result_type = typename boost::math::conditional< + boost::math::is_integral<T1>::value, + typename tools::promote_args<T2>::type, + tools::promote_args_t<T1, T2> + >::type; + + typedef typename policies::precision<result_type, Policy>::type precision_type; + + using optimisation_tag = typename boost::math::conditional< + (precision_type::value <= 0 || precision_type::value > 64), + bessel_no_int_tag, + typename boost::math::conditional< + boost::math::is_integral<T1>::value, + bessel_int_tag, + bessel_maybe_int_tag + >::type + >::type; + + using optimisation_tag128 = typename boost::math::conditional< + (precision_type::value <= 0 || precision_type::value > 113), + bessel_no_int_tag, + typename boost::math::conditional< + boost::math::is_integral<T1>::value, + bessel_int_tag, + bessel_maybe_int_tag + >::type + >::type; + }; + +} // namespace detail + +} // namespace math +} // namespace boost + +#else + #include <vector> #include <complex> #include <type_traits> #include <boost/math/special_functions/detail/round_fwd.hpp> -#include <boost/math/tools/promotion.hpp> // for argument promotion. +#include <boost/math/tools/type_traits.hpp> #include <boost/math/policies/policy.hpp> #define BOOST_NO_MACRO_EXPAND /**/ @@ -39,139 +120,139 @@ namespace boost // Beta functions. template <class RT1, class RT2> - tools::promote_args_t<RT1, RT2> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2> beta(RT1 a, RT2 b); // Beta function (2 arguments). template <class RT1, class RT2, class A> - tools::promote_args_t<RT1, RT2, A> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, A> beta(RT1 a, RT2 b, A x); // Beta function (3 arguments). template <class RT1, class RT2, class RT3, class Policy> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> beta(RT1 a, RT2 b, RT3 x, const Policy& pol); // Beta function (3 arguments). template <class RT1, class RT2, class RT3> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> betac(RT1 a, RT2 b, RT3 x); template <class RT1, class RT2, class RT3, class Policy> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> betac(RT1 a, RT2 b, RT3 x, const Policy& pol); template <class RT1, class RT2, class RT3> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibeta(RT1 a, RT2 b, RT3 x); // Incomplete beta function. template <class RT1, class RT2, class RT3, class Policy> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibeta(RT1 a, RT2 b, RT3 x, const Policy& pol); // Incomplete beta function. template <class RT1, class RT2, class RT3> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibetac(RT1 a, RT2 b, RT3 x); // Incomplete beta complement function. template <class RT1, class RT2, class RT3, class Policy> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibetac(RT1 a, RT2 b, RT3 x, const Policy& pol); // Incomplete beta complement function. template <class T1, class T2, class T3, class T4> - tools::promote_args_t<T1, T2, T3, T4> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3, T4> ibeta_inv(T1 a, T2 b, T3 p, T4* py); template <class T1, class T2, class T3, class T4, class Policy> - tools::promote_args_t<T1, T2, T3, T4> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3, T4> ibeta_inv(T1 a, T2 b, T3 p, T4* py, const Policy& pol); template <class RT1, class RT2, class RT3> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibeta_inv(RT1 a, RT2 b, RT3 p); // Incomplete beta inverse function. template <class RT1, class RT2, class RT3, class Policy> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibeta_inv(RT1 a, RT2 b, RT3 p, const Policy&); // Incomplete beta inverse function. template <class RT1, class RT2, class RT3> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibeta_inva(RT1 a, RT2 b, RT3 p); // Incomplete beta inverse function. template <class RT1, class RT2, class RT3, class Policy> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibeta_inva(RT1 a, RT2 b, RT3 p, const Policy&); // Incomplete beta inverse function. template <class RT1, class RT2, class RT3> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibeta_invb(RT1 a, RT2 b, RT3 p); // Incomplete beta inverse function. template <class RT1, class RT2, class RT3, class Policy> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibeta_invb(RT1 a, RT2 b, RT3 p, const Policy&); // Incomplete beta inverse function. template <class T1, class T2, class T3, class T4> - tools::promote_args_t<T1, T2, T3, T4> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3, T4> ibetac_inv(T1 a, T2 b, T3 q, T4* py); template <class T1, class T2, class T3, class T4, class Policy> - tools::promote_args_t<T1, T2, T3, T4> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3, T4> ibetac_inv(T1 a, T2 b, T3 q, T4* py, const Policy& pol); template <class RT1, class RT2, class RT3> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibetac_inv(RT1 a, RT2 b, RT3 q); // Incomplete beta complement inverse function. template <class RT1, class RT2, class RT3, class Policy> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibetac_inv(RT1 a, RT2 b, RT3 q, const Policy&); // Incomplete beta complement inverse function. template <class RT1, class RT2, class RT3> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibetac_inva(RT1 a, RT2 b, RT3 q); // Incomplete beta complement inverse function. template <class RT1, class RT2, class RT3, class Policy> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibetac_inva(RT1 a, RT2 b, RT3 q, const Policy&); // Incomplete beta complement inverse function. template <class RT1, class RT2, class RT3> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibetac_invb(RT1 a, RT2 b, RT3 q); // Incomplete beta complement inverse function. template <class RT1, class RT2, class RT3, class Policy> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibetac_invb(RT1 a, RT2 b, RT3 q, const Policy&); // Incomplete beta complement inverse function. template <class RT1, class RT2, class RT3> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibeta_derivative(RT1 a, RT2 b, RT3 x); // derivative of incomplete beta template <class RT1, class RT2, class RT3, class Policy> - tools::promote_args_t<RT1, RT2, RT3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2, RT3> ibeta_derivative(RT1 a, RT2 b, RT3 x, const Policy& pol); // derivative of incomplete beta // Binomial: template <class T, class Policy> - T binomial_coefficient(unsigned n, unsigned k, const Policy& pol); + BOOST_MATH_GPU_ENABLED T binomial_coefficient(unsigned n, unsigned k, const Policy& pol); template <class T> - T binomial_coefficient(unsigned n, unsigned k); + BOOST_MATH_GPU_ENABLED T binomial_coefficient(unsigned n, unsigned k); // erf & erfc error functions. template <class RT> // Error function. - tools::promote_args_t<RT> erf(RT z); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> erf(RT z); template <class RT, class Policy> // Error function. - tools::promote_args_t<RT> erf(RT z, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> erf(RT z, const Policy&); template <class RT>// Error function complement. - tools::promote_args_t<RT> erfc(RT z); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> erfc(RT z); template <class RT, class Policy>// Error function complement. - tools::promote_args_t<RT> erfc(RT z, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> erfc(RT z, const Policy&); template <class RT>// Error function inverse. - tools::promote_args_t<RT> erf_inv(RT z); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> erf_inv(RT z); template <class RT, class Policy>// Error function inverse. - tools::promote_args_t<RT> erf_inv(RT z, const Policy& pol); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> erf_inv(RT z, const Policy& pol); template <class RT>// Error function complement inverse. - tools::promote_args_t<RT> erfc_inv(RT z); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> erfc_inv(RT z); template <class RT, class Policy>// Error function complement inverse. - tools::promote_args_t<RT> erfc_inv(RT z, const Policy& pol); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> erfc_inv(RT z, const Policy& pol); // Polynomials: template <class T1, class T2, class T3> @@ -250,15 +331,15 @@ namespace boost laguerre(unsigned n, T1 m, T2 x); template <class T> - tools::promote_args_t<T> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> hermite(unsigned n, T x); template <class T, class Policy> - tools::promote_args_t<T> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> hermite(unsigned n, T x, const Policy& pol); template <class T1, class T2, class T3> - tools::promote_args_t<T1, T2, T3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3> hermite_next(unsigned n, T1 x, T2 Hn, T3 Hnm1); template<class T1, class T2, class T3> @@ -311,90 +392,90 @@ namespace boost // Elliptic integrals: template <class T1, class T2, class T3> - tools::promote_args_t<T1, T2, T3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3> ellint_rf(T1 x, T2 y, T3 z); template <class T1, class T2, class T3, class Policy> - tools::promote_args_t<T1, T2, T3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3> ellint_rf(T1 x, T2 y, T3 z, const Policy& pol); template <class T1, class T2, class T3> - tools::promote_args_t<T1, T2, T3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3> ellint_rd(T1 x, T2 y, T3 z); template <class T1, class T2, class T3, class Policy> - tools::promote_args_t<T1, T2, T3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3> ellint_rd(T1 x, T2 y, T3 z, const Policy& pol); template <class T1, class T2> - tools::promote_args_t<T1, T2> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> ellint_rc(T1 x, T2 y); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> ellint_rc(T1 x, T2 y, const Policy& pol); template <class T1, class T2, class T3, class T4> - tools::promote_args_t<T1, T2, T3, T4> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3, T4> ellint_rj(T1 x, T2 y, T3 z, T4 p); template <class T1, class T2, class T3, class T4, class Policy> - tools::promote_args_t<T1, T2, T3, T4> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3, T4> ellint_rj(T1 x, T2 y, T3 z, T4 p, const Policy& pol); template <class T1, class T2, class T3> - tools::promote_args_t<T1, T2, T3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3> ellint_rg(T1 x, T2 y, T3 z); template <class T1, class T2, class T3, class Policy> - tools::promote_args_t<T1, T2, T3> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3> ellint_rg(T1 x, T2 y, T3 z, const Policy& pol); template <typename T> - tools::promote_args_t<T> ellint_2(T k); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> ellint_2(T k); template <class T1, class T2> - tools::promote_args_t<T1, T2> ellint_2(T1 k, T2 phi); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> ellint_2(T1 k, T2 phi); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> ellint_2(T1 k, T2 phi, const Policy& pol); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> ellint_2(T1 k, T2 phi, const Policy& pol); template <typename T> - tools::promote_args_t<T> ellint_1(T k); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> ellint_1(T k); template <class T1, class T2> - tools::promote_args_t<T1, T2> ellint_1(T1 k, T2 phi); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> ellint_1(T1 k, T2 phi); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> ellint_1(T1 k, T2 phi, const Policy& pol); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> ellint_1(T1 k, T2 phi, const Policy& pol); template <typename T> - tools::promote_args_t<T> ellint_d(T k); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> ellint_d(T k); template <class T1, class T2> - tools::promote_args_t<T1, T2> ellint_d(T1 k, T2 phi); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> ellint_d(T1 k, T2 phi); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> ellint_d(T1 k, T2 phi, const Policy& pol); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> ellint_d(T1 k, T2 phi, const Policy& pol); template <class T1, class T2> - tools::promote_args_t<T1, T2> jacobi_zeta(T1 k, T2 phi); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> jacobi_zeta(T1 k, T2 phi); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> jacobi_zeta(T1 k, T2 phi, const Policy& pol); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> jacobi_zeta(T1 k, T2 phi, const Policy& pol); template <class T1, class T2> - tools::promote_args_t<T1, T2> heuman_lambda(T1 k, T2 phi); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> heuman_lambda(T1 k, T2 phi); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> heuman_lambda(T1 k, T2 phi, const Policy& pol); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> heuman_lambda(T1 k, T2 phi, const Policy& pol); namespace detail{ template <class T, class U, class V> struct ellint_3_result { - using type = typename std::conditional< + using type = typename boost::math::conditional< policies::is_policy<V>::value, tools::promote_args_t<T, U>, tools::promote_args_t<T, U, V> @@ -405,28 +486,28 @@ namespace boost template <class T1, class T2, class T3> - typename detail::ellint_3_result<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi); + BOOST_MATH_GPU_ENABLED typename detail::ellint_3_result<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi); template <class T1, class T2, class T3, class Policy> - tools::promote_args_t<T1, T2, T3> ellint_3(T1 k, T2 v, T3 phi, const Policy& pol); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2, T3> ellint_3(T1 k, T2 v, T3 phi, const Policy& pol); template <class T1, class T2> - tools::promote_args_t<T1, T2> ellint_3(T1 k, T2 v); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> ellint_3(T1 k, T2 v); // Factorial functions. // Note: not for integral types, at present. template <class RT> struct max_factorial; template <class RT> - RT factorial(unsigned int); + BOOST_MATH_GPU_ENABLED RT factorial(unsigned int); template <class RT, class Policy> - RT factorial(unsigned int, const Policy& pol); + BOOST_MATH_GPU_ENABLED RT factorial(unsigned int, const Policy& pol); template <class RT> - RT unchecked_factorial(unsigned int BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(RT)); + BOOST_MATH_GPU_ENABLED RT unchecked_factorial(unsigned int BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(RT)); template <class RT> - RT double_factorial(unsigned i); + BOOST_MATH_GPU_ENABLED RT double_factorial(unsigned i); template <class RT, class Policy> - RT double_factorial(unsigned i, const Policy& pol); + BOOST_MATH_GPU_ENABLED RT double_factorial(unsigned i, const Policy& pol); template <class RT> tools::promote_args_t<RT> falling_factorial(RT x, unsigned n); @@ -442,106 +523,106 @@ namespace boost // Gamma functions. template <class RT> - tools::promote_args_t<RT> tgamma(RT z); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> tgamma(RT z); template <class RT> - tools::promote_args_t<RT> tgamma1pm1(RT z); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> tgamma1pm1(RT z); template <class RT, class Policy> - tools::promote_args_t<RT> tgamma1pm1(RT z, const Policy& pol); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> tgamma1pm1(RT z, const Policy& pol); template <class RT1, class RT2> - tools::promote_args_t<RT1, RT2> tgamma(RT1 a, RT2 z); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2> tgamma(RT1 a, RT2 z); template <class RT1, class RT2, class Policy> - tools::promote_args_t<RT1, RT2> tgamma(RT1 a, RT2 z, const Policy& pol); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2> tgamma(RT1 a, RT2 z, const Policy& pol); template <class RT> - tools::promote_args_t<RT> lgamma(RT z, int* sign); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> lgamma(RT z, int* sign); template <class RT, class Policy> - tools::promote_args_t<RT> lgamma(RT z, int* sign, const Policy& pol); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> lgamma(RT z, int* sign, const Policy& pol); template <class RT> - tools::promote_args_t<RT> lgamma(RT x); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> lgamma(RT x); template <class RT, class Policy> - tools::promote_args_t<RT> lgamma(RT x, const Policy& pol); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> lgamma(RT x, const Policy& pol); template <class RT1, class RT2> - tools::promote_args_t<RT1, RT2> tgamma_lower(RT1 a, RT2 z); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2> tgamma_lower(RT1 a, RT2 z); template <class RT1, class RT2, class Policy> - tools::promote_args_t<RT1, RT2> tgamma_lower(RT1 a, RT2 z, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2> tgamma_lower(RT1 a, RT2 z, const Policy&); template <class RT1, class RT2> - tools::promote_args_t<RT1, RT2> gamma_q(RT1 a, RT2 z); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2> gamma_q(RT1 a, RT2 z); template <class RT1, class RT2, class Policy> - tools::promote_args_t<RT1, RT2> gamma_q(RT1 a, RT2 z, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2> gamma_q(RT1 a, RT2 z, const Policy&); template <class RT1, class RT2> - tools::promote_args_t<RT1, RT2> gamma_p(RT1 a, RT2 z); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2> gamma_p(RT1 a, RT2 z); template <class RT1, class RT2, class Policy> - tools::promote_args_t<RT1, RT2> gamma_p(RT1 a, RT2 z, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT1, RT2> gamma_p(RT1 a, RT2 z, const Policy&); template <class T1, class T2> - tools::promote_args_t<T1, T2> tgamma_delta_ratio(T1 z, T2 delta); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> tgamma_delta_ratio(T1 z, T2 delta); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> tgamma_delta_ratio(T1 z, T2 delta, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> tgamma_delta_ratio(T1 z, T2 delta, const Policy&); template <class T1, class T2> - tools::promote_args_t<T1, T2> tgamma_ratio(T1 a, T2 b); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> tgamma_ratio(T1 a, T2 b); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> tgamma_ratio(T1 a, T2 b, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> tgamma_ratio(T1 a, T2 b, const Policy&); template <class T1, class T2> - tools::promote_args_t<T1, T2> gamma_p_derivative(T1 a, T2 x); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> gamma_p_derivative(T1 a, T2 x); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> gamma_p_derivative(T1 a, T2 x, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> gamma_p_derivative(T1 a, T2 x, const Policy&); // gamma inverse. template <class T1, class T2> - tools::promote_args_t<T1, T2> gamma_p_inv(T1 a, T2 p); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> gamma_p_inv(T1 a, T2 p); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> gamma_p_inva(T1 a, T2 p, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> gamma_p_inva(T1 a, T2 p, const Policy&); template <class T1, class T2> - tools::promote_args_t<T1, T2> gamma_p_inva(T1 a, T2 p); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> gamma_p_inva(T1 a, T2 p); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> gamma_p_inv(T1 a, T2 p, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> gamma_p_inv(T1 a, T2 p, const Policy&); template <class T1, class T2> - tools::promote_args_t<T1, T2> gamma_q_inv(T1 a, T2 q); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> gamma_q_inv(T1 a, T2 q); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> gamma_q_inv(T1 a, T2 q, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> gamma_q_inv(T1 a, T2 q, const Policy&); template <class T1, class T2> - tools::promote_args_t<T1, T2> gamma_q_inva(T1 a, T2 q); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> gamma_q_inva(T1 a, T2 q); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> gamma_q_inva(T1 a, T2 q, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> gamma_q_inva(T1 a, T2 q, const Policy&); // digamma: template <class T> - tools::promote_args_t<T> digamma(T x); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> digamma(T x); template <class T, class Policy> - tools::promote_args_t<T> digamma(T x, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> digamma(T x, const Policy&); // trigamma: template <class T> - tools::promote_args_t<T> trigamma(T x); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> trigamma(T x); template <class T, class Policy> - tools::promote_args_t<T> trigamma(T x, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> trigamma(T x, const Policy&); // polygamma: template <class T> @@ -552,63 +633,63 @@ namespace boost // Hypotenuse function sqrt(x ^ 2 + y ^ 2). template <class T1, class T2> - tools::promote_args_t<T1, T2> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> hypot(T1 x, T2 y); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> hypot(T1 x, T2 y, const Policy&); // cbrt - cube root. template <class RT> - tools::promote_args_t<RT> cbrt(RT z); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> cbrt(RT z); template <class RT, class Policy> - tools::promote_args_t<RT> cbrt(RT z, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<RT> cbrt(RT z, const Policy&); // log1p is log(x + 1) template <class T> - tools::promote_args_t<T> log1p(T); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> log1p(T); template <class T, class Policy> - tools::promote_args_t<T> log1p(T, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> log1p(T, const Policy&); // log1pmx is log(x + 1) - x template <class T> - tools::promote_args_t<T> log1pmx(T); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> log1pmx(T); template <class T, class Policy> - tools::promote_args_t<T> log1pmx(T, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> log1pmx(T, const Policy&); // Exp (x) minus 1 functions. template <class T> - tools::promote_args_t<T> expm1(T); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> expm1(T); template <class T, class Policy> - tools::promote_args_t<T> expm1(T, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> expm1(T, const Policy&); // Power - 1 template <class T1, class T2> - tools::promote_args_t<T1, T2> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> powm1(const T1 a, const T2 z); template <class T1, class T2, class Policy> - tools::promote_args_t<T1, T2> + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T1, T2> powm1(const T1 a, const T2 z, const Policy&); // sqrt(1+x) - 1 template <class T> - tools::promote_args_t<T> sqrt1pm1(const T& val); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> sqrt1pm1(const T& val); template <class T, class Policy> - tools::promote_args_t<T> sqrt1pm1(const T& val, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> sqrt1pm1(const T& val, const Policy&); // sinus cardinals: template <class T> - tools::promote_args_t<T> sinc_pi(T x); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> sinc_pi(T x); template <class T, class Policy> - tools::promote_args_t<T> sinc_pi(T x, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> sinc_pi(T x, const Policy&); template <class T> tools::promote_args_t<T> sinhc_pi(T x); @@ -630,43 +711,43 @@ namespace boost tools::promote_args_t<T> acosh(T x, const Policy&); template<typename T> - tools::promote_args_t<T> atanh(T x); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> atanh(T x); template<typename T, class Policy> - tools::promote_args_t<T> atanh(T x, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> atanh(T x, const Policy&); namespace detail{ - typedef std::integral_constant<int, 0> bessel_no_int_tag; // No integer optimisation possible. - typedef std::integral_constant<int, 1> bessel_maybe_int_tag; // Maybe integer optimisation. - typedef std::integral_constant<int, 2> bessel_int_tag; // Definite integer optimisation. + typedef boost::math::integral_constant<int, 0> bessel_no_int_tag; // No integer optimisation possible. + typedef boost::math::integral_constant<int, 1> bessel_maybe_int_tag; // Maybe integer optimisation. + typedef boost::math::integral_constant<int, 2> bessel_int_tag; // Definite integer optimisation. template <class T1, class T2, class Policy> struct bessel_traits { - using result_type = typename std::conditional< - std::is_integral<T1>::value, + using result_type = typename boost::math::conditional< + boost::math::is_integral<T1>::value, typename tools::promote_args<T2>::type, tools::promote_args_t<T1, T2> >::type; typedef typename policies::precision<result_type, Policy>::type precision_type; - using optimisation_tag = typename std::conditional< + using optimisation_tag = typename boost::math::conditional< (precision_type::value <= 0 || precision_type::value > 64), bessel_no_int_tag, - typename std::conditional< - std::is_integral<T1>::value, + typename boost::math::conditional< + boost::math::is_integral<T1>::value, bessel_int_tag, bessel_maybe_int_tag >::type >::type; - using optimisation_tag128 = typename std::conditional< + using optimisation_tag128 = typename boost::math::conditional< (precision_type::value <= 0 || precision_type::value > 113), bessel_no_int_tag, - typename std::conditional< - std::is_integral<T1>::value, + typename boost::math::conditional< + boost::math::is_integral<T1>::value, bessel_int_tag, bessel_maybe_int_tag >::type @@ -676,223 +757,225 @@ namespace boost // Bessel functions: template <class T1, class T2, class Policy> - typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_j(T1 v, T2 x, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_j(T1 v, T2 x, const Policy& pol); template <class T1, class T2, class Policy> - typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_j_prime(T1 v, T2 x, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_j_prime(T1 v, T2 x, const Policy& pol); template <class T1, class T2> - typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_j(T1 v, T2 x); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_j(T1 v, T2 x); template <class T1, class T2> - typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_j_prime(T1 v, T2 x); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_j_prime(T1 v, T2 x); template <class T, class Policy> - typename detail::bessel_traits<T, T, Policy>::result_type sph_bessel(unsigned v, T x, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T, T, Policy>::result_type sph_bessel(unsigned v, T x, const Policy& pol); template <class T, class Policy> - typename detail::bessel_traits<T, T, Policy>::result_type sph_bessel_prime(unsigned v, T x, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T, T, Policy>::result_type sph_bessel_prime(unsigned v, T x, const Policy& pol); template <class T> - typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_bessel(unsigned v, T x); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_bessel(unsigned v, T x); template <class T> - typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_bessel_prime(unsigned v, T x); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_bessel_prime(unsigned v, T x); template <class T1, class T2, class Policy> - typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_i(T1 v, T2 x, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_i(T1 v, T2 x, const Policy& pol); template <class T1, class T2, class Policy> - typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_i_prime(T1 v, T2 x, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_i_prime(T1 v, T2 x, const Policy& pol); template <class T1, class T2> - typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_i(T1 v, T2 x); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_i(T1 v, T2 x); template <class T1, class T2> - typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_i_prime(T1 v, T2 x); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_i_prime(T1 v, T2 x); template <class T1, class T2, class Policy> - typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_k(T1 v, T2 x, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_k(T1 v, T2 x, const Policy& pol); template <class T1, class T2, class Policy> - typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_k_prime(T1 v, T2 x, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_k_prime(T1 v, T2 x, const Policy& pol); template <class T1, class T2> - typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_k(T1 v, T2 x); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_k(T1 v, T2 x); template <class T1, class T2> - typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_k_prime(T1 v, T2 x); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_k_prime(T1 v, T2 x); template <class T1, class T2, class Policy> - typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_neumann(T1 v, T2 x, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_neumann(T1 v, T2 x, const Policy& pol); template <class T1, class T2, class Policy> - typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_neumann_prime(T1 v, T2 x, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_neumann_prime(T1 v, T2 x, const Policy& pol); template <class T1, class T2> - typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_neumann(T1 v, T2 x); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_neumann(T1 v, T2 x); template <class T1, class T2> - typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_neumann_prime(T1 v, T2 x); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_neumann_prime(T1 v, T2 x); template <class T, class Policy> - typename detail::bessel_traits<T, T, Policy>::result_type sph_neumann(unsigned v, T x, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T, T, Policy>::result_type sph_neumann(unsigned v, T x, const Policy& pol); template <class T, class Policy> - typename detail::bessel_traits<T, T, Policy>::result_type sph_neumann_prime(unsigned v, T x, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T, T, Policy>::result_type sph_neumann_prime(unsigned v, T x, const Policy& pol); template <class T> - typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_neumann(unsigned v, T x); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_neumann(unsigned v, T x); template <class T> - typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_neumann_prime(unsigned v, T x); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_neumann_prime(unsigned v, T x); template <class T, class Policy> - typename detail::bessel_traits<T, T, Policy>::result_type cyl_bessel_j_zero(T v, int m, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T, T, Policy>::result_type cyl_bessel_j_zero(T v, int m, const Policy& pol); template <class T> - typename detail::bessel_traits<T, T, policies::policy<> >::result_type cyl_bessel_j_zero(T v, int m); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T, T, policies::policy<> >::result_type cyl_bessel_j_zero(T v, int m); template <class T, class OutputIterator> - OutputIterator cyl_bessel_j_zero(T v, + BOOST_MATH_GPU_ENABLED OutputIterator cyl_bessel_j_zero(T v, int start_index, unsigned number_of_zeros, OutputIterator out_it); template <class T, class OutputIterator, class Policy> - OutputIterator cyl_bessel_j_zero(T v, + BOOST_MATH_GPU_ENABLED OutputIterator cyl_bessel_j_zero(T v, int start_index, unsigned number_of_zeros, OutputIterator out_it, const Policy&); template <class T, class Policy> - typename detail::bessel_traits<T, T, Policy>::result_type cyl_neumann_zero(T v, int m, const Policy& pol); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T, T, Policy>::result_type cyl_neumann_zero(T v, int m, const Policy& pol); template <class T> - typename detail::bessel_traits<T, T, policies::policy<> >::result_type cyl_neumann_zero(T v, int m); + BOOST_MATH_GPU_ENABLED typename detail::bessel_traits<T, T, policies::policy<> >::result_type cyl_neumann_zero(T v, int m); template <class T, class OutputIterator> - OutputIterator cyl_neumann_zero(T v, + BOOST_MATH_GPU_ENABLED OutputIterator cyl_neumann_zero(T v, int start_index, unsigned number_of_zeros, OutputIterator out_it); template <class T, class OutputIterator, class Policy> - OutputIterator cyl_neumann_zero(T v, + BOOST_MATH_GPU_ENABLED OutputIterator cyl_neumann_zero(T v, int start_index, unsigned number_of_zeros, OutputIterator out_it, const Policy&); template <class T1, class T2> - std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> cyl_hankel_1(T1 v, T2 x); + BOOST_MATH_GPU_ENABLED boost::math::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> cyl_hankel_1(T1 v, T2 x); template <class T1, class T2, class Policy> - std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> cyl_hankel_1(T1 v, T2 x, const Policy& pol); + BOOST_MATH_GPU_ENABLED boost::math::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> cyl_hankel_1(T1 v, T2 x, const Policy& pol); template <class T1, class T2, class Policy> - std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> cyl_hankel_2(T1 v, T2 x, const Policy& pol); + BOOST_MATH_GPU_ENABLED boost::math::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> cyl_hankel_2(T1 v, T2 x, const Policy& pol); template <class T1, class T2> - std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> cyl_hankel_2(T1 v, T2 x); + BOOST_MATH_GPU_ENABLED boost::math::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> cyl_hankel_2(T1 v, T2 x); template <class T1, class T2, class Policy> - std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> sph_hankel_1(T1 v, T2 x, const Policy& pol); + BOOST_MATH_GPU_ENABLED boost::math::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> sph_hankel_1(T1 v, T2 x, const Policy& pol); template <class T1, class T2> - std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> sph_hankel_1(T1 v, T2 x); + BOOST_MATH_GPU_ENABLED boost::math::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> sph_hankel_1(T1 v, T2 x); template <class T1, class T2, class Policy> - std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> sph_hankel_2(T1 v, T2 x, const Policy& pol); + BOOST_MATH_GPU_ENABLED boost::math::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> sph_hankel_2(T1 v, T2 x, const Policy& pol); template <class T1, class T2> - std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> sph_hankel_2(T1 v, T2 x); + BOOST_MATH_GPU_ENABLED boost::math::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> sph_hankel_2(T1 v, T2 x); template <class T, class Policy> - tools::promote_args_t<T> airy_ai(T x, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> airy_ai(T x, const Policy&); template <class T> - tools::promote_args_t<T> airy_ai(T x); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> airy_ai(T x); template <class T, class Policy> - tools::promote_args_t<T> airy_bi(T x, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> airy_bi(T x, const Policy&); template <class T> - tools::promote_args_t<T> airy_bi(T x); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> airy_bi(T x); template <class T, class Policy> - tools::promote_args_t<T> airy_ai_prime(T x, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> airy_ai_prime(T x, const Policy&); template <class T> - tools::promote_args_t<T> airy_ai_prime(T x); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> airy_ai_prime(T x); template <class T, class Policy> - tools::promote_args_t<T> airy_bi_prime(T x, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> airy_bi_prime(T x, const Policy&); template <class T> - tools::promote_args_t<T> airy_bi_prime(T x); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> airy_bi_prime(T x); template <class T> - T airy_ai_zero(int m); + BOOST_MATH_GPU_ENABLED T airy_ai_zero(int m); template <class T, class Policy> - T airy_ai_zero(int m, const Policy&); + BOOST_MATH_GPU_ENABLED T airy_ai_zero(int m, const Policy&); template <class OutputIterator> - OutputIterator airy_ai_zero( + BOOST_MATH_GPU_ENABLED OutputIterator airy_ai_zero( int start_index, unsigned number_of_zeros, OutputIterator out_it); template <class OutputIterator, class Policy> - OutputIterator airy_ai_zero( + BOOST_MATH_GPU_ENABLED OutputIterator airy_ai_zero( int start_index, unsigned number_of_zeros, OutputIterator out_it, const Policy&); template <class T> - T airy_bi_zero(int m); + BOOST_MATH_GPU_ENABLED T airy_bi_zero(int m); template <class T, class Policy> - T airy_bi_zero(int m, const Policy&); + BOOST_MATH_GPU_ENABLED T airy_bi_zero(int m, const Policy&); template <class OutputIterator> - OutputIterator airy_bi_zero( + BOOST_MATH_GPU_ENABLED OutputIterator airy_bi_zero( int start_index, unsigned number_of_zeros, OutputIterator out_it); template <class OutputIterator, class Policy> - OutputIterator airy_bi_zero( + BOOST_MATH_GPU_ENABLED OutputIterator airy_bi_zero( int start_index, unsigned number_of_zeros, OutputIterator out_it, const Policy&); template <class T, class Policy> - tools::promote_args_t<T> sin_pi(T x, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> sin_pi(T x, const Policy&); template <class T> - tools::promote_args_t<T> sin_pi(T x); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> sin_pi(T x); template <class T, class Policy> - tools::promote_args_t<T> cos_pi(T x, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> cos_pi(T x, const Policy&); template <class T> - tools::promote_args_t<T> cos_pi(T x); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> cos_pi(T x); template <class T> - int fpclassify BOOST_NO_MACRO_EXPAND(T t); + BOOST_MATH_GPU_ENABLED int fpclassify BOOST_NO_MACRO_EXPAND(T t); template <class T> - bool isfinite BOOST_NO_MACRO_EXPAND(T z); + BOOST_MATH_GPU_ENABLED bool isfinite BOOST_NO_MACRO_EXPAND(T z); template <class T> - bool isinf BOOST_NO_MACRO_EXPAND(T t); + BOOST_MATH_GPU_ENABLED bool isinf BOOST_NO_MACRO_EXPAND(T t); template <class T> - bool isnan BOOST_NO_MACRO_EXPAND(T t); + BOOST_MATH_GPU_ENABLED bool isnan BOOST_NO_MACRO_EXPAND(T t); template <class T> - bool isnormal BOOST_NO_MACRO_EXPAND(T t); + BOOST_MATH_GPU_ENABLED bool isnormal BOOST_NO_MACRO_EXPAND(T t); template<class T> - int signbit BOOST_NO_MACRO_EXPAND(T x); + BOOST_MATH_GPU_ENABLED int signbit BOOST_NO_MACRO_EXPAND(T x); template <class T> - int sign BOOST_NO_MACRO_EXPAND(const T& z); + BOOST_MATH_GPU_ENABLED int sign BOOST_NO_MACRO_EXPAND(const T& z); template <class T, class U> - typename tools::promote_args_permissive<T, U>::type copysign BOOST_NO_MACRO_EXPAND(const T& x, const U& y); + BOOST_MATH_GPU_ENABLED typename tools::promote_args_permissive<T, U>::type + copysign BOOST_NO_MACRO_EXPAND(const T& x, const U& y); template <class T> - typename tools::promote_args_permissive<T>::type changesign BOOST_NO_MACRO_EXPAND(const T& z); + BOOST_MATH_GPU_ENABLED typename tools::promote_args_permissive<T>::type + changesign BOOST_NO_MACRO_EXPAND(const T& z); // Exponential integrals: namespace detail{ @@ -900,7 +983,7 @@ namespace boost template <class T, class U> struct expint_result { - typedef typename std::conditional< + typedef typename boost::math::conditional< policies::is_policy<U>::value, tools::promote_args_t<T>, typename tools::promote_args<U>::type @@ -910,13 +993,13 @@ namespace boost } // namespace detail template <class T, class Policy> - tools::promote_args_t<T> expint(unsigned n, T z, const Policy&); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> expint(unsigned n, T z, const Policy&); template <class T, class U> - typename detail::expint_result<T, U>::type expint(T const z, U const u); + BOOST_MATH_GPU_ENABLED typename detail::expint_result<T, U>::type expint(T const z, U const u); template <class T> - tools::promote_args_t<T> expint(T z); + BOOST_MATH_GPU_ENABLED tools::promote_args_t<T> expint(T z); // Zeta: template <class T, class Policy> @@ -1087,10 +1170,10 @@ namespace boost // pow: template <int N, typename T, class Policy> - BOOST_MATH_CXX14_CONSTEXPR tools::promote_args_t<T> pow(T base, const Policy& policy); + BOOST_MATH_GPU_ENABLED BOOST_MATH_CXX14_CONSTEXPR tools::promote_args_t<T> pow(T base, const Policy& policy); template <int N, typename T> - BOOST_MATH_CXX14_CONSTEXPR tools::promote_args_t<T> pow(T base); + BOOST_MATH_GPU_ENABLED BOOST_MATH_CXX14_CONSTEXPR tools::promote_args_t<T> pow(T base); // next: template <class T, class U, class Policy> @@ -1191,13 +1274,13 @@ namespace boost #define BOOST_MATH_DETAIL_LL_FUNC(Policy)\ \ template <class T>\ - inline T modf(const T& v, long long* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline T modf(const T& v, long long* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ \ template <class T>\ - inline long long lltrunc(const T& v){ using boost::math::lltrunc; return lltrunc(v, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline long long lltrunc(const T& v){ using boost::math::lltrunc; return lltrunc(v, Policy()); }\ \ template <class T>\ - inline long long llround(const T& v){ using boost::math::llround; return llround(v, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline long long llround(const T& v){ using boost::math::llround; return llround(v, Policy()); }\ # define BOOST_MATH_DETAIL_11_FUNC(Policy)\ template <class T, class U, class V>\ @@ -1210,74 +1293,74 @@ namespace boost BOOST_MATH_DETAIL_11_FUNC(Policy)\ \ template <class RT1, class RT2>\ - inline boost::math::tools::promote_args_t<RT1, RT2> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2> \ beta(RT1 a, RT2 b) { return ::boost::math::beta(a, b, Policy()); }\ \ template <class RT1, class RT2, class A>\ - inline boost::math::tools::promote_args_t<RT1, RT2, A> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2, A> \ beta(RT1 a, RT2 b, A x){ return ::boost::math::beta(a, b, x, Policy()); }\ \ template <class RT1, class RT2, class RT3>\ - inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ betac(RT1 a, RT2 b, RT3 x) { return ::boost::math::betac(a, b, x, Policy()); }\ \ template <class RT1, class RT2, class RT3>\ - inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ ibeta(RT1 a, RT2 b, RT3 x){ return ::boost::math::ibeta(a, b, x, Policy()); }\ \ template <class RT1, class RT2, class RT3>\ - inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ ibetac(RT1 a, RT2 b, RT3 x){ return ::boost::math::ibetac(a, b, x, Policy()); }\ \ template <class T1, class T2, class T3, class T4>\ - inline boost::math::tools::promote_args_t<T1, T2, T3, T4> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2, T3, T4> \ ibeta_inv(T1 a, T2 b, T3 p, T4* py){ return ::boost::math::ibeta_inv(a, b, p, py, Policy()); }\ \ template <class RT1, class RT2, class RT3>\ - inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ ibeta_inv(RT1 a, RT2 b, RT3 p){ return ::boost::math::ibeta_inv(a, b, p, Policy()); }\ \ template <class T1, class T2, class T3, class T4>\ - inline boost::math::tools::promote_args_t<T1, T2, T3, T4> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2, T3, T4> \ ibetac_inv(T1 a, T2 b, T3 q, T4* py){ return ::boost::math::ibetac_inv(a, b, q, py, Policy()); }\ \ template <class RT1, class RT2, class RT3>\ - inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ ibeta_inva(RT1 a, RT2 b, RT3 p){ return ::boost::math::ibeta_inva(a, b, p, Policy()); }\ \ template <class T1, class T2, class T3>\ - inline boost::math::tools::promote_args_t<T1, T2, T3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2, T3> \ ibetac_inva(T1 a, T2 b, T3 q){ return ::boost::math::ibetac_inva(a, b, q, Policy()); }\ \ template <class RT1, class RT2, class RT3>\ - inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ ibeta_invb(RT1 a, RT2 b, RT3 p){ return ::boost::math::ibeta_invb(a, b, p, Policy()); }\ \ template <class T1, class T2, class T3>\ - inline boost::math::tools::promote_args_t<T1, T2, T3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2, T3> \ ibetac_invb(T1 a, T2 b, T3 q){ return ::boost::math::ibetac_invb(a, b, q, Policy()); }\ \ template <class RT1, class RT2, class RT3>\ - inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ ibetac_inv(RT1 a, RT2 b, RT3 q){ return ::boost::math::ibetac_inv(a, b, q, Policy()); }\ \ template <class RT1, class RT2, class RT3>\ - inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2, RT3> \ ibeta_derivative(RT1 a, RT2 b, RT3 x){ return ::boost::math::ibeta_derivative(a, b, x, Policy()); }\ \ - template <class T> T binomial_coefficient(unsigned n, unsigned k){ return ::boost::math::binomial_coefficient<T, Policy>(n, k, Policy()); }\ + template <class T> BOOST_MATH_GPU_ENABLED T binomial_coefficient(unsigned n, unsigned k){ return ::boost::math::binomial_coefficient<T, Policy>(n, k, Policy()); }\ \ template <class RT>\ - inline boost::math::tools::promote_args_t<RT> erf(RT z) { return ::boost::math::erf(z, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT> erf(RT z) { return ::boost::math::erf(z, Policy()); }\ \ template <class RT>\ - inline boost::math::tools::promote_args_t<RT> erfc(RT z){ return ::boost::math::erfc(z, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT> erfc(RT z){ return ::boost::math::erfc(z, Policy()); }\ \ template <class RT>\ - inline boost::math::tools::promote_args_t<RT> erf_inv(RT z) { return ::boost::math::erf_inv(z, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT> erf_inv(RT z) { return ::boost::math::erf_inv(z, Policy()); }\ \ template <class RT>\ - inline boost::math::tools::promote_args_t<RT> erfc_inv(RT z){ return ::boost::math::erfc_inv(z, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT> erfc_inv(RT z){ return ::boost::math::erfc_inv(z, Policy()); }\ \ using boost::math::legendre_next;\ \ @@ -1310,7 +1393,7 @@ namespace boost laguerre(unsigned n, T1 m, T2 x) { return ::boost::math::laguerre(n, m, x, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> \ hermite(unsigned n, T x){ return ::boost::math::hermite(n, x, Policy()); }\ \ using boost::math::hermite_next;\ @@ -1345,145 +1428,145 @@ namespace boost spherical_harmonic_i(unsigned n, int m, T1 theta, T2 phi, const Policy& pol);\ \ template <class T1, class T2, class T3>\ - inline boost::math::tools::promote_args_t<T1, T2, T3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2, T3> \ ellint_rf(T1 x, T2 y, T3 z){ return ::boost::math::ellint_rf(x, y, z, Policy()); }\ \ template <class T1, class T2, class T3>\ - inline boost::math::tools::promote_args_t<T1, T2, T3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2, T3> \ ellint_rd(T1 x, T2 y, T3 z){ return ::boost::math::ellint_rd(x, y, z, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> \ ellint_rc(T1 x, T2 y){ return ::boost::math::ellint_rc(x, y, Policy()); }\ \ template <class T1, class T2, class T3, class T4>\ - inline boost::math::tools::promote_args_t<T1, T2, T3, T4> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2, T3, T4> \ ellint_rj(T1 x, T2 y, T3 z, T4 p){ return boost::math::ellint_rj(x, y, z, p, Policy()); }\ \ template <class T1, class T2, class T3>\ - inline boost::math::tools::promote_args_t<T1, T2, T3> \ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2, T3> \ ellint_rg(T1 x, T2 y, T3 z){ return ::boost::math::ellint_rg(x, y, z, Policy()); }\ \ template <typename T>\ - inline boost::math::tools::promote_args_t<T> ellint_2(T k){ return boost::math::ellint_2(k, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> ellint_2(T k){ return boost::math::ellint_2(k, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> ellint_2(T1 k, T2 phi){ return boost::math::ellint_2(k, phi, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> ellint_2(T1 k, T2 phi){ return boost::math::ellint_2(k, phi, Policy()); }\ \ template <typename T>\ - inline boost::math::tools::promote_args_t<T> ellint_d(T k){ return boost::math::ellint_d(k, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> ellint_d(T k){ return boost::math::ellint_d(k, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> ellint_d(T1 k, T2 phi){ return boost::math::ellint_d(k, phi, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> ellint_d(T1 k, T2 phi){ return boost::math::ellint_d(k, phi, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> jacobi_zeta(T1 k, T2 phi){ return boost::math::jacobi_zeta(k, phi, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> jacobi_zeta(T1 k, T2 phi){ return boost::math::jacobi_zeta(k, phi, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> heuman_lambda(T1 k, T2 phi){ return boost::math::heuman_lambda(k, phi, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> heuman_lambda(T1 k, T2 phi){ return boost::math::heuman_lambda(k, phi, Policy()); }\ \ template <typename T>\ - inline boost::math::tools::promote_args_t<T> ellint_1(T k){ return boost::math::ellint_1(k, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> ellint_1(T k){ return boost::math::ellint_1(k, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> ellint_1(T1 k, T2 phi){ return boost::math::ellint_1(k, phi, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> ellint_1(T1 k, T2 phi){ return boost::math::ellint_1(k, phi, Policy()); }\ \ template <class T1, class T2, class T3>\ - inline boost::math::tools::promote_args_t<T1, T2, T3> ellint_3(T1 k, T2 v, T3 phi){ return boost::math::ellint_3(k, v, phi, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2, T3> ellint_3(T1 k, T2 v, T3 phi){ return boost::math::ellint_3(k, v, phi, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> ellint_3(T1 k, T2 v){ return boost::math::ellint_3(k, v, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> ellint_3(T1 k, T2 v){ return boost::math::ellint_3(k, v, Policy()); }\ \ using boost::math::max_factorial;\ template <class RT>\ - inline RT factorial(unsigned int i) { return boost::math::factorial<RT>(i, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline RT factorial(unsigned int i) { return boost::math::factorial<RT>(i, Policy()); }\ using boost::math::unchecked_factorial;\ template <class RT>\ - inline RT double_factorial(unsigned i){ return boost::math::double_factorial<RT>(i, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline RT double_factorial(unsigned i){ return boost::math::double_factorial<RT>(i, Policy()); }\ template <class RT>\ inline boost::math::tools::promote_args_t<RT> falling_factorial(RT x, unsigned n){ return boost::math::falling_factorial(x, n, Policy()); }\ template <class RT>\ inline boost::math::tools::promote_args_t<RT> rising_factorial(RT x, unsigned n){ return boost::math::rising_factorial(x, n, Policy()); }\ \ template <class RT>\ - inline boost::math::tools::promote_args_t<RT> tgamma(RT z){ return boost::math::tgamma(z, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT> tgamma(RT z){ return boost::math::tgamma(z, Policy()); }\ \ template <class RT>\ - inline boost::math::tools::promote_args_t<RT> tgamma1pm1(RT z){ return boost::math::tgamma1pm1(z, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT> tgamma1pm1(RT z){ return boost::math::tgamma1pm1(z, Policy()); }\ \ template <class RT1, class RT2>\ - inline boost::math::tools::promote_args_t<RT1, RT2> tgamma(RT1 a, RT2 z){ return boost::math::tgamma(a, z, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2> tgamma(RT1 a, RT2 z){ return boost::math::tgamma(a, z, Policy()); }\ \ template <class RT>\ - inline boost::math::tools::promote_args_t<RT> lgamma(RT z, int* sign){ return boost::math::lgamma(z, sign, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT> lgamma(RT z, int* sign){ return boost::math::lgamma(z, sign, Policy()); }\ \ template <class RT>\ - inline boost::math::tools::promote_args_t<RT> lgamma(RT x){ return boost::math::lgamma(x, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT> lgamma(RT x){ return boost::math::lgamma(x, Policy()); }\ \ template <class RT1, class RT2>\ - inline boost::math::tools::promote_args_t<RT1, RT2> tgamma_lower(RT1 a, RT2 z){ return boost::math::tgamma_lower(a, z, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2> tgamma_lower(RT1 a, RT2 z){ return boost::math::tgamma_lower(a, z, Policy()); }\ \ template <class RT1, class RT2>\ - inline boost::math::tools::promote_args_t<RT1, RT2> gamma_q(RT1 a, RT2 z){ return boost::math::gamma_q(a, z, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2> gamma_q(RT1 a, RT2 z){ return boost::math::gamma_q(a, z, Policy()); }\ \ template <class RT1, class RT2>\ - inline boost::math::tools::promote_args_t<RT1, RT2> gamma_p(RT1 a, RT2 z){ return boost::math::gamma_p(a, z, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<RT1, RT2> gamma_p(RT1 a, RT2 z){ return boost::math::gamma_p(a, z, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> tgamma_delta_ratio(T1 z, T2 delta){ return boost::math::tgamma_delta_ratio(z, delta, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> tgamma_delta_ratio(T1 z, T2 delta){ return boost::math::tgamma_delta_ratio(z, delta, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> tgamma_ratio(T1 a, T2 b) { return boost::math::tgamma_ratio(a, b, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> tgamma_ratio(T1 a, T2 b) { return boost::math::tgamma_ratio(a, b, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> gamma_p_derivative(T1 a, T2 x){ return boost::math::gamma_p_derivative(a, x, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> gamma_p_derivative(T1 a, T2 x){ return boost::math::gamma_p_derivative(a, x, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> gamma_p_inv(T1 a, T2 p){ return boost::math::gamma_p_inv(a, p, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> gamma_p_inv(T1 a, T2 p){ return boost::math::gamma_p_inv(a, p, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> gamma_p_inva(T1 a, T2 p){ return boost::math::gamma_p_inva(a, p, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> gamma_p_inva(T1 a, T2 p){ return boost::math::gamma_p_inva(a, p, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> gamma_q_inv(T1 a, T2 q){ return boost::math::gamma_q_inv(a, q, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> gamma_q_inv(T1 a, T2 q){ return boost::math::gamma_q_inv(a, q, Policy()); }\ \ template <class T1, class T2>\ - inline boost::math::tools::promote_args_t<T1, T2> gamma_q_inva(T1 a, T2 q){ return boost::math::gamma_q_inva(a, q, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T1, T2> gamma_q_inva(T1 a, T2 q){ return boost::math::gamma_q_inva(a, q, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> digamma(T x){ return boost::math::digamma(x, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> digamma(T x){ return boost::math::digamma(x, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> trigamma(T x){ return boost::math::trigamma(x, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> trigamma(T x){ return boost::math::trigamma(x, Policy()); }\ \ template <class T>\ inline boost::math::tools::promote_args_t<T> polygamma(int n, T x){ return boost::math::polygamma(n, x, Policy()); }\ \ template <class T1, class T2>\ inline boost::math::tools::promote_args_t<T1, T2> \ - hypot(T1 x, T2 y){ return boost::math::hypot(x, y, Policy()); }\ + BOOST_MATH_GPU_ENABLED hypot(T1 x, T2 y){ return boost::math::hypot(x, y, Policy()); }\ \ template <class RT>\ inline boost::math::tools::promote_args_t<RT> cbrt(RT z){ return boost::math::cbrt(z, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> log1p(T x){ return boost::math::log1p(x, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> log1p(T x){ return boost::math::log1p(x, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> log1pmx(T x){ return boost::math::log1pmx(x, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> log1pmx(T x){ return boost::math::log1pmx(x, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> expm1(T x){ return boost::math::expm1(x, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> expm1(T x){ return boost::math::expm1(x, Policy()); }\ \ template <class T1, class T2>\ inline boost::math::tools::promote_args_t<T1, T2> \ - powm1(const T1 a, const T2 z){ return boost::math::powm1(a, z, Policy()); }\ + BOOST_MATH_GPU_ENABLED powm1(const T1 a, const T2 z){ return boost::math::powm1(a, z, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> sqrt1pm1(const T& val){ return boost::math::sqrt1pm1(val, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> sqrt1pm1(const T& val){ return boost::math::sqrt1pm1(val, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> sinc_pi(T x){ return boost::math::sinc_pi(x, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> sinc_pi(T x){ return boost::math::sinc_pi(x, Policy()); }\ \ template <class T>\ inline boost::math::tools::promote_args_t<T> sinhc_pi(T x){ return boost::math::sinhc_pi(x, Policy()); }\ @@ -1495,7 +1578,7 @@ namespace boost inline boost::math::tools::promote_args_t<T> acosh(const T x){ return boost::math::acosh(x, Policy()); }\ \ template<typename T>\ - inline boost::math::tools::promote_args_t<T> atanh(const T x){ return boost::math::atanh(x, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> atanh(const T x){ return boost::math::atanh(x, Policy()); }\ \ template <class T1, class T2>\ inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type cyl_bessel_j(T1 v, T2 x)\ @@ -1568,10 +1651,10 @@ template <class OutputIterator, class T>\ { boost::math::cyl_neumann_zero(v, start_index, number_of_zeros, out_it, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> sin_pi(T x){ return boost::math::sin_pi(x, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> sin_pi(T x){ return boost::math::sin_pi(x, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> cos_pi(T x){ return boost::math::cos_pi(x, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> cos_pi(T x){ return boost::math::cos_pi(x, Policy()); }\ \ using boost::math::fpclassify;\ using boost::math::isfinite;\ @@ -1584,44 +1667,44 @@ template <class OutputIterator, class T>\ using boost::math::changesign;\ \ template <class T, class U>\ - inline typename boost::math::tools::promote_args_t<T,U> expint(T const& z, U const& u)\ + BOOST_MATH_GPU_ENABLED inline typename boost::math::tools::promote_args_t<T,U> expint(T const& z, U const& u)\ { return boost::math::expint(z, u, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> expint(T z){ return boost::math::expint(z, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> expint(T z){ return boost::math::expint(z, Policy()); }\ \ template <class T>\ inline boost::math::tools::promote_args_t<T> zeta(T s){ return boost::math::zeta(s, Policy()); }\ \ template <class T>\ - inline T round(const T& v){ using boost::math::round; return round(v, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline T round(const T& v){ using boost::math::round; return round(v, Policy()); }\ \ template <class T>\ - inline int iround(const T& v){ using boost::math::iround; return iround(v, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline int iround(const T& v){ using boost::math::iround; return iround(v, Policy()); }\ \ template <class T>\ - inline long lround(const T& v){ using boost::math::lround; return lround(v, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline long lround(const T& v){ using boost::math::lround; return lround(v, Policy()); }\ \ template <class T>\ - inline T trunc(const T& v){ using boost::math::trunc; return trunc(v, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline T trunc(const T& v){ using boost::math::trunc; return trunc(v, Policy()); }\ \ template <class T>\ - inline int itrunc(const T& v){ using boost::math::itrunc; return itrunc(v, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline int itrunc(const T& v){ using boost::math::itrunc; return itrunc(v, Policy()); }\ \ template <class T>\ - inline long ltrunc(const T& v){ using boost::math::ltrunc; return ltrunc(v, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline long ltrunc(const T& v){ using boost::math::ltrunc; return ltrunc(v, Policy()); }\ \ template <class T>\ - inline T modf(const T& v, T* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline T modf(const T& v, T* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ \ template <class T>\ - inline T modf(const T& v, int* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline T modf(const T& v, int* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ \ template <class T>\ - inline T modf(const T& v, long* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline T modf(const T& v, long* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ \ template <int N, class T>\ - inline boost::math::tools::promote_args_t<T> pow(T v){ return boost::math::pow<N>(v, Policy()); }\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> pow(T v){ return boost::math::pow<N>(v, Policy()); }\ \ template <class T> T nextafter(const T& a, const T& b){ return static_cast<T>(boost::math::nextafter(a, b, Policy())); }\ template <class T> T float_next(const T& a){ return static_cast<T>(boost::math::float_next(a, Policy())); }\ @@ -1633,19 +1716,19 @@ template <class OutputIterator, class T>\ inline boost::math::tools::promote_args_t<RT1, RT2> owens_t(RT1 a, RT2 z){ return boost::math::owens_t(a, z, Policy()); }\ \ template <class T1, class T2>\ - inline std::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> cyl_hankel_1(T1 v, T2 x)\ + inline BOOST_MATH_GPU_ENABLED boost::math::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> cyl_hankel_1(T1 v, T2 x)\ { return boost::math::cyl_hankel_1(v, x, Policy()); }\ \ template <class T1, class T2>\ - inline std::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> cyl_hankel_2(T1 v, T2 x)\ + inline BOOST_MATH_GPU_ENABLED boost::math::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> cyl_hankel_2(T1 v, T2 x)\ { return boost::math::cyl_hankel_2(v, x, Policy()); }\ \ template <class T1, class T2>\ - inline std::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> sph_hankel_1(T1 v, T2 x)\ + inline BOOST_MATH_GPU_ENABLED boost::math::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> sph_hankel_1(T1 v, T2 x)\ { return boost::math::sph_hankel_1(v, x, Policy()); }\ \ template <class T1, class T2>\ - inline std::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> sph_hankel_2(T1 v, T2 x)\ + inline BOOST_MATH_GPU_ENABLED boost::math::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> sph_hankel_2(T1 v, T2 x)\ { return boost::math::sph_hankel_2(v, x, Policy()); }\ \ template <class T>\ @@ -1749,33 +1832,33 @@ template <class OutputIterator, class T>\ { return boost::math::jacobi_theta4m1tau(z, q, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> airy_ai(T x)\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> airy_ai(T x)\ { return boost::math::airy_ai(x, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> airy_bi(T x)\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> airy_bi(T x)\ { return boost::math::airy_bi(x, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> airy_ai_prime(T x)\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> airy_ai_prime(T x)\ { return boost::math::airy_ai_prime(x, Policy()); }\ \ template <class T>\ - inline boost::math::tools::promote_args_t<T> airy_bi_prime(T x)\ + BOOST_MATH_GPU_ENABLED inline boost::math::tools::promote_args_t<T> airy_bi_prime(T x)\ { return boost::math::airy_bi_prime(x, Policy()); }\ \ template <class T>\ - inline T airy_ai_zero(int m)\ + BOOST_MATH_GPU_ENABLED inline T airy_ai_zero(int m)\ { return boost::math::airy_ai_zero<T>(m, Policy()); }\ template <class T, class OutputIterator>\ - OutputIterator airy_ai_zero(int start_index, unsigned number_of_zeros, OutputIterator out_it)\ + BOOST_MATH_GPU_ENABLED OutputIterator airy_ai_zero(int start_index, unsigned number_of_zeros, OutputIterator out_it)\ { return boost::math::airy_ai_zero<T>(start_index, number_of_zeros, out_it, Policy()); }\ \ template <class T>\ - inline T airy_bi_zero(int m)\ + BOOST_MATH_GPU_ENABLED inline T airy_bi_zero(int m)\ { return boost::math::airy_bi_zero<T>(m, Policy()); }\ template <class T, class OutputIterator>\ - OutputIterator airy_bi_zero(int start_index, unsigned number_of_zeros, OutputIterator out_it)\ + BOOST_MATH_GPU_ENABLED OutputIterator airy_bi_zero(int start_index, unsigned number_of_zeros, OutputIterator out_it)\ { return boost::math::airy_bi_zero<T>(start_index, number_of_zeros, out_it, Policy()); }\ \ template <class T>\ @@ -1813,6 +1896,6 @@ template <class OutputIterator, class T>\ - +#endif // BOOST_MATH_HAS_NVRTC #endif // BOOST_MATH_SPECIAL_MATH_FWD_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/modf.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/modf.hpp index 75e6be9f46..6e372ec9a3 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/modf.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/modf.hpp @@ -1,4 +1,5 @@ // Copyright John Maddock 2007. +// Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,56 +11,60 @@ #pragma once #endif -#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/tools/config.hpp> #include <boost/math/special_functions/trunc.hpp> +#include <boost/math/policies/policy.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/special_functions/math_fwd.hpp> +#endif namespace boost{ namespace math{ template <class T, class Policy> -inline T modf(const T& v, T* ipart, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T modf(const T& v, T* ipart, const Policy& pol) { *ipart = trunc(v, pol); return v - *ipart; } template <class T> -inline T modf(const T& v, T* ipart) +BOOST_MATH_GPU_ENABLED inline T modf(const T& v, T* ipart) { return modf(v, ipart, policies::policy<>()); } template <class T, class Policy> -inline T modf(const T& v, int* ipart, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T modf(const T& v, int* ipart, const Policy& pol) { *ipart = itrunc(v, pol); return v - *ipart; } template <class T> -inline T modf(const T& v, int* ipart) +BOOST_MATH_GPU_ENABLED inline T modf(const T& v, int* ipart) { return modf(v, ipart, policies::policy<>()); } template <class T, class Policy> -inline T modf(const T& v, long* ipart, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T modf(const T& v, long* ipart, const Policy& pol) { *ipart = ltrunc(v, pol); return v - *ipart; } template <class T> -inline T modf(const T& v, long* ipart) +BOOST_MATH_GPU_ENABLED inline T modf(const T& v, long* ipart) { return modf(v, ipart, policies::policy<>()); } template <class T, class Policy> -inline T modf(const T& v, long long* ipart, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T modf(const T& v, long long* ipart, const Policy& pol) { *ipart = lltrunc(v, pol); return v - *ipart; } template <class T> -inline T modf(const T& v, long long* ipart) +BOOST_MATH_GPU_ENABLED inline T modf(const T& v, long long* ipart) { return modf(v, ipart, policies::policy<>()); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/next.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/next.hpp index 02a208e4eb..fd08162f98 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/next.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/next.hpp @@ -10,6 +10,11 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> + +// TODO(mborland): Need to remove recurrsion from these algos +#ifndef BOOST_MATH_HAS_NVRTC + #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/fpclassify.hpp> @@ -920,4 +925,6 @@ inline typename tools::promote_args<T>::type float_advance(const T& val, int dis }} // boost math namespaces +#endif + #endif // BOOST_MATH_SPECIAL_NEXT_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/pow.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/pow.hpp index 9c64889977..7a1bb14eba 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/pow.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/pow.hpp @@ -2,6 +2,7 @@ // Computes a power with exponent known at compile-time // (C) Copyright Bruno Lalande 2008. +// (C) Copyright Matt Borland 2024. // Distributed under the Boost Software License, Version 1.0. // (See accompanying file LICENSE_1_0.txt or copy at // http://www.boost.org/LICENSE_1_0.txt) @@ -12,12 +13,14 @@ #ifndef BOOST_MATH_POW_HPP #define BOOST_MATH_POW_HPP - -#include <boost/math/special_functions/math_fwd.hpp> +#include <boost/math/tools/config.hpp> #include <boost/math/policies/policy.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/tools/promotion.hpp> +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/special_functions/math_fwd.hpp> +#endif namespace boost { namespace math { @@ -34,7 +37,7 @@ template <int N, int M = N%2> struct positive_power { template <typename T> - static BOOST_MATH_CXX14_CONSTEXPR T result(T base) + BOOST_MATH_GPU_ENABLED static constexpr T result(T base) { T power = positive_power<N/2>::result(base); return power * power; @@ -45,7 +48,7 @@ template <int N> struct positive_power<N, 1> { template <typename T> - static BOOST_MATH_CXX14_CONSTEXPR T result(T base) + BOOST_MATH_GPU_ENABLED static constexpr T result(T base) { T power = positive_power<N/2>::result(base); return base * power * power; @@ -56,7 +59,7 @@ template <> struct positive_power<1, 1> { template <typename T> - static BOOST_MATH_CXX14_CONSTEXPR T result(T base){ return base; } + BOOST_MATH_GPU_ENABLED static constexpr T result(T base){ return base; } }; @@ -64,7 +67,7 @@ template <int N, bool> struct power_if_positive { template <typename T, class Policy> - static BOOST_MATH_CXX14_CONSTEXPR T result(T base, const Policy&) + BOOST_MATH_GPU_ENABLED static constexpr T result(T base, const Policy&) { return positive_power<N>::result(base); } }; @@ -72,7 +75,7 @@ template <int N> struct power_if_positive<N, false> { template <typename T, class Policy> - static BOOST_MATH_CXX14_CONSTEXPR T result(T base, const Policy& policy) + BOOST_MATH_GPU_ENABLED static constexpr T result(T base, const Policy& policy) { if (base == 0) { @@ -91,7 +94,7 @@ template <> struct power_if_positive<0, true> { template <typename T, class Policy> - static BOOST_MATH_CXX14_CONSTEXPR T result(T base, const Policy& policy) + BOOST_MATH_GPU_ENABLED static constexpr T result(T base, const Policy& policy) { if (base == 0) { @@ -120,14 +123,14 @@ struct select_power_if_positive template <int N, typename T, class Policy> -BOOST_MATH_CXX14_CONSTEXPR inline typename tools::promote_args<T>::type pow(T base, const Policy& policy) +BOOST_MATH_GPU_ENABLED constexpr inline typename tools::promote_args<T>::type pow(T base, const Policy& policy) { using result_type = typename tools::promote_args<T>::type; return detail::select_power_if_positive<N>::type::result(static_cast<result_type>(base), policy); } template <int N, typename T> -BOOST_MATH_CXX14_CONSTEXPR inline typename tools::promote_args<T>::type pow(T base) +BOOST_MATH_GPU_ENABLED constexpr inline typename tools::promote_args<T>::type pow(T base) { return pow<N>(base, policies::policy<>()); } #ifdef _MSC_VER diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/powm1.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/powm1.hpp index e52277b16d..80d02dc299 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/powm1.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/powm1.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -12,6 +13,7 @@ #pragma warning(disable:4702) // Unreachable code (release mode only warning) #endif +#include <boost/math/tools/config.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/log1p.hpp> #include <boost/math/special_functions/expm1.hpp> @@ -22,32 +24,23 @@ namespace boost{ namespace math{ namespace detail{ template <class T, class Policy> -inline T powm1_imp(const T x, const T y, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T powm1_imp(const T x, const T y, const Policy& pol) { BOOST_MATH_STD_USING - static const char* function = "boost::math::powm1<%1%>(%1%, %1%)"; - if (x > 0) + constexpr auto function = "boost::math::powm1<%1%>(%1%, %1%)"; + + if ((fabs(y * (x - 1)) < T(0.5)) || (fabs(y) < T(0.2))) { - if ((fabs(y * (x - 1)) < T(0.5)) || (fabs(y) < T(0.2))) - { - // We don't have any good/quick approximation for log(x) * y - // so just try it and see: - T l = y * log(x); - if (l < T(0.5)) - return boost::math::expm1(l, pol); - if (l > boost::math::tools::log_max_value<T>()) - return boost::math::policies::raise_overflow_error<T>(function, nullptr, pol); - // fall through.... - } - } - else if ((boost::math::signbit)(x)) // Need to error check -0 here as well - { - // y had better be an integer: - if (boost::math::trunc(y) != y) - return boost::math::policies::raise_domain_error<T>(function, "For non-integral exponent, expected base > 0 but got %1%", x, pol); - if (boost::math::trunc(y / 2) == y / 2) - return powm1_imp(T(-x), y, pol); + // We don't have any good/quick approximation for log(x) * y + // so just try it and see: + T l = y * log(x); + if (l < T(0.5)) + return boost::math::expm1(l, pol); + if (l > boost::math::tools::log_max_value<T>()) + return boost::math::policies::raise_overflow_error<T>(function, nullptr, pol); + // fall through.... } + T result = pow(x, y) - 1; if((boost::math::isinf)(result)) return result < 0 ? -boost::math::policies::raise_overflow_error<T>(function, nullptr, pol) : boost::math::policies::raise_overflow_error<T>(function, nullptr, pol); @@ -56,22 +49,41 @@ inline T powm1_imp(const T x, const T y, const Policy& pol) return result; } +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED inline T powm1_imp_dispatch(const T x, const T y, const Policy& pol) +{ + BOOST_MATH_STD_USING + + if ((boost::math::signbit)(x)) // Need to error check -0 here as well + { + constexpr auto function = "boost::math::powm1<%1%>(%1%, %1%)"; + + // y had better be an integer: + if (boost::math::trunc(y) != y) + return boost::math::policies::raise_domain_error<T>(function, "For non-integral exponent, expected base > 0 but got %1%", x, pol); + if (boost::math::trunc(y / 2) == y / 2) + return powm1_imp(T(-x), T(y), pol); + } + + return powm1_imp(T(x), T(y), pol); +} + } // detail template <class T1, class T2> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type powm1(const T1 a, const T2 z) { typedef typename tools::promote_args<T1, T2>::type result_type; - return detail::powm1_imp(static_cast<result_type>(a), static_cast<result_type>(z), policies::policy<>()); + return detail::powm1_imp_dispatch(static_cast<result_type>(a), static_cast<result_type>(z), policies::policy<>()); } template <class T1, class T2, class Policy> -inline typename tools::promote_args<T1, T2>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T1, T2>::type powm1(const T1 a, const T2 z, const Policy& pol) { typedef typename tools::promote_args<T1, T2>::type result_type; - return detail::powm1_imp(static_cast<result_type>(a), static_cast<result_type>(z), pol); + return detail::powm1_imp_dispatch(static_cast<result_type>(a), static_cast<result_type>(z), pol); } } // namespace math diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/round.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/round.hpp index e74acba85b..bb99da7e31 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/round.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/round.hpp @@ -12,6 +12,9 @@ #endif #include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <boost/math/ccmath/detail/config.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/math_fwd.hpp> @@ -30,7 +33,7 @@ namespace boost{ namespace math{ namespace detail{ template <class T, class Policy> -inline tools::promote_args_t<T> round(const T& v, const Policy& pol, const std::false_type&) +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T> round(const T& v, const Policy& pol, const std::false_type&) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t<T>; @@ -65,7 +68,7 @@ inline tools::promote_args_t<T> round(const T& v, const Policy& pol, const std:: } } template <class T, class Policy> -inline tools::promote_args_t<T> round(const T& v, const Policy&, const std::true_type&) +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T> round(const T& v, const Policy&, const std::true_type&) { return v; } @@ -73,12 +76,12 @@ inline tools::promote_args_t<T> round(const T& v, const Policy&, const std::true } // namespace detail template <class T, class Policy> -inline tools::promote_args_t<T> round(const T& v, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T> round(const T& v, const Policy& pol) { return detail::round(v, pol, std::integral_constant<bool, detail::is_integer_for_rounding<T>::value>()); } template <class T> -inline tools::promote_args_t<T> round(const T& v) +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T> round(const T& v) { return round(v, policies::policy<>()); } @@ -103,7 +106,7 @@ inline int iround(const T& v, const Policy& pol) result_type r = boost::math::round(v, pol); - #ifdef BOOST_MATH_HAS_CONSTEXPR_LDEXP + #if defined(BOOST_MATH_HAS_CONSTEXPR_LDEXP) && !defined(BOOST_MATH_HAS_GPU_SUPPORT) if constexpr (std::is_arithmetic_v<result_type> #ifdef BOOST_MATH_FLOAT128_TYPE && !std::is_same_v<BOOST_MATH_FLOAT128_TYPE, result_type> @@ -127,7 +130,7 @@ inline int iround(const T& v, const Policy& pol) } } #else - static const result_type max_val = ldexp(static_cast<result_type>(1), std::numeric_limits<int>::digits); + BOOST_MATH_STATIC_LOCAL_VARIABLE const result_type max_val = ldexp(static_cast<result_type>(1), std::numeric_limits<int>::digits); if (r >= max_val || r < -max_val) { @@ -138,20 +141,20 @@ inline int iround(const T& v, const Policy& pol) return static_cast<int>(r); } template <class T> -inline int iround(const T& v) +BOOST_MATH_GPU_ENABLED inline int iround(const T& v) { return iround(v, policies::policy<>()); } template <class T, class Policy> -inline long lround(const T& v, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline long lround(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t<T>; result_type r = boost::math::round(v, pol); - #ifdef BOOST_MATH_HAS_CONSTEXPR_LDEXP + #if defined(BOOST_MATH_HAS_CONSTEXPR_LDEXP) && !defined(BOOST_MATH_HAS_GPU_SUPPORT) if constexpr (std::is_arithmetic_v<result_type> #ifdef BOOST_MATH_FLOAT128_TYPE && !std::is_same_v<BOOST_MATH_FLOAT128_TYPE, result_type> @@ -175,7 +178,7 @@ inline long lround(const T& v, const Policy& pol) } } #else - static const result_type max_val = ldexp(static_cast<result_type>(1), std::numeric_limits<long>::digits); + BOOST_MATH_STATIC_LOCAL_VARIABLE const result_type max_val = ldexp(static_cast<result_type>(1), std::numeric_limits<long>::digits); if (r >= max_val || r < -max_val) { @@ -186,20 +189,20 @@ inline long lround(const T& v, const Policy& pol) return static_cast<long>(r); } template <class T> -inline long lround(const T& v) +BOOST_MATH_GPU_ENABLED inline long lround(const T& v) { return lround(v, policies::policy<>()); } template <class T, class Policy> -inline long long llround(const T& v, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline long long llround(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = boost::math::tools::promote_args_t<T>; result_type r = boost::math::round(v, pol); - #ifdef BOOST_MATH_HAS_CONSTEXPR_LDEXP + #if defined(BOOST_MATH_HAS_CONSTEXPR_LDEXP) && !defined(BOOST_MATH_HAS_GPU_SUPPORT) if constexpr (std::is_arithmetic_v<result_type> #ifdef BOOST_MATH_FLOAT128_TYPE && !std::is_same_v<BOOST_MATH_FLOAT128_TYPE, result_type> @@ -223,7 +226,7 @@ inline long long llround(const T& v, const Policy& pol) } } #else - static const result_type max_val = ldexp(static_cast<result_type>(1), std::numeric_limits<long long>::digits); + BOOST_MATH_STATIC_LOCAL_VARIABLE const result_type max_val = ldexp(static_cast<result_type>(1), std::numeric_limits<long long>::digits); if (r >= max_val || r < -max_val) { @@ -234,11 +237,117 @@ inline long long llround(const T& v, const Policy& pol) return static_cast<long long>(r); } template <class T> -inline long long llround(const T& v) +BOOST_MATH_GPU_ENABLED inline long long llround(const T& v) { return llround(v, policies::policy<>()); } }} // namespaces +#else // Specialized NVRTC overloads + +namespace boost { +namespace math { + +template <typename T> +BOOST_MATH_GPU_ENABLED T round(T x) +{ + return ::round(x); +} + +template <> +BOOST_MATH_GPU_ENABLED float round(float x) +{ + return ::roundf(x); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED T round(T x, const Policy&) +{ + return ::round(x); +} + +template <typename Policy> +BOOST_MATH_GPU_ENABLED float round(float x, const Policy&) +{ + return ::roundf(x); +} + +template <typename T> +BOOST_MATH_GPU_ENABLED int iround(T x) +{ + return static_cast<int>(::lround(x)); +} + +template <> +BOOST_MATH_GPU_ENABLED int iround(float x) +{ + return static_cast<int>(::lroundf(x)); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED int iround(T x, const Policy&) +{ + return static_cast<int>(::lround(x)); +} + +template <typename Policy> +BOOST_MATH_GPU_ENABLED int iround(float x, const Policy&) +{ + return static_cast<int>(::lroundf(x)); +} + +template <typename T> +BOOST_MATH_GPU_ENABLED long lround(T x) +{ + return ::lround(x); +} + +template <> +BOOST_MATH_GPU_ENABLED long lround(float x) +{ + return ::lroundf(x); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED long lround(T x, const Policy&) +{ + return ::lround(x); +} + +template <typename Policy> +BOOST_MATH_GPU_ENABLED long lround(float x, const Policy&) +{ + return ::lroundf(x); +} + +template <typename T> +BOOST_MATH_GPU_ENABLED long long llround(T x) +{ + return ::llround(x); +} + +template <> +BOOST_MATH_GPU_ENABLED long long llround(float x) +{ + return ::llroundf(x); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED long long llround(T x, const Policy&) +{ + return ::llround(x); +} + +template <typename Policy> +BOOST_MATH_GPU_ENABLED long long llround(float x, const Policy&) +{ + return ::llroundf(x); +} + +} // Namespace math +} // Namespace boost + +#endif // BOOST_MATH_HAS_NVRTC + #endif // BOOST_MATH_ROUND_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/sign.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/sign.hpp index 8f9fc4793a..4f76522654 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/sign.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/sign.hpp @@ -1,6 +1,7 @@ // (C) Copyright John Maddock 2006. // (C) Copyright Johan Rade 2006. // (C) Copyright Paul A. Bristow 2011 (added changesign). +// (C) Copyright Matt Borland 2024 // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file @@ -13,6 +14,8 @@ #pragma once #endif +#ifndef __CUDACC_RTC__ + #include <boost/math/tools/config.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/detail/fp_traits.hpp> @@ -25,9 +28,10 @@ namespace detail { #ifdef BOOST_MATH_USE_STD_FPCLASSIFY template<class T> - inline int signbit_impl(T x, native_tag const&) + BOOST_MATH_GPU_ENABLED inline int signbit_impl(T x, native_tag const&) { - return (std::signbit)(x) ? 1 : 0; + using std::signbit; + return (signbit)(x) ? 1 : 0; } #endif @@ -35,13 +39,13 @@ namespace detail { // signed zero or NaN. template<class T> - inline int signbit_impl(T x, generic_tag<true> const&) + BOOST_MATH_GPU_ENABLED inline int signbit_impl(T x, generic_tag<true> const&) { return x < 0; } template<class T> - inline int signbit_impl(T x, generic_tag<false> const&) + BOOST_MATH_GPU_ENABLED inline int signbit_impl(T x, generic_tag<false> const&) { return x < 0; } @@ -65,7 +69,7 @@ namespace detail { #endif template<class T> - inline int signbit_impl(T x, ieee_copy_all_bits_tag const&) + BOOST_MATH_GPU_ENABLED inline int signbit_impl(T x, ieee_copy_all_bits_tag const&) { typedef typename fp_traits<T>::type traits; @@ -75,7 +79,7 @@ namespace detail { } template<class T> - inline int signbit_impl(T x, ieee_copy_leading_bits_tag const&) + BOOST_MATH_GPU_ENABLED inline int signbit_impl(T x, ieee_copy_leading_bits_tag const&) { typedef typename fp_traits<T>::type traits; @@ -91,13 +95,13 @@ namespace detail { // signed zero or NaN. template<class T> - inline T (changesign_impl)(T x, generic_tag<true> const&) + BOOST_MATH_GPU_ENABLED inline T (changesign_impl)(T x, generic_tag<true> const&) { return -x; } template<class T> - inline T (changesign_impl)(T x, generic_tag<false> const&) + BOOST_MATH_GPU_ENABLED inline T (changesign_impl)(T x, generic_tag<false> const&) { return -x; } @@ -124,7 +128,7 @@ namespace detail { #endif template<class T> - inline T changesign_impl(T x, ieee_copy_all_bits_tag const&) + BOOST_MATH_GPU_ENABLED inline T changesign_impl(T x, ieee_copy_all_bits_tag const&) { typedef typename fp_traits<T>::sign_change_type traits; @@ -136,7 +140,7 @@ namespace detail { } template<class T> - inline T (changesign_impl)(T x, ieee_copy_leading_bits_tag const&) + BOOST_MATH_GPU_ENABLED inline T (changesign_impl)(T x, ieee_copy_leading_bits_tag const&) { typedef typename fp_traits<T>::sign_change_type traits; @@ -150,7 +154,8 @@ namespace detail { } // namespace detail -template<class T> int (signbit)(T x) +template<class T> +BOOST_MATH_GPU_ENABLED int (signbit)(T x) { typedef typename detail::fp_traits<T>::type traits; typedef typename traits::method method; @@ -160,12 +165,13 @@ template<class T> int (signbit)(T x) } template <class T> -inline int sign BOOST_NO_MACRO_EXPAND(const T& z) +BOOST_MATH_GPU_ENABLED inline int sign BOOST_NO_MACRO_EXPAND(const T& z) { return (z == 0) ? 0 : (boost::math::signbit)(z) ? -1 : 1; } -template <class T> typename tools::promote_args_permissive<T>::type (changesign)(const T& x) +template <class T> +BOOST_MATH_GPU_ENABLED typename tools::promote_args_permissive<T>::type (changesign)(const T& x) { //!< \brief return unchanged binary pattern of x, except for change of sign bit. typedef typename detail::fp_traits<T>::sign_change_type traits; typedef typename traits::method method; @@ -176,7 +182,7 @@ template <class T> typename tools::promote_args_permissive<T>::type (changesign) } template <class T, class U> -inline typename tools::promote_args_permissive<T, U>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args_permissive<T, U>::type copysign BOOST_NO_MACRO_EXPAND(const T& x, const U& y) { BOOST_MATH_STD_USING @@ -188,6 +194,47 @@ inline typename tools::promote_args_permissive<T, U>::type } // namespace math } // namespace boost +#else // NVRTC alias versions + +#include <boost/math/tools/config.hpp> + +namespace boost { +namespace math { + +template <typename T> +BOOST_MATH_GPU_ENABLED int signbit(T x) +{ + return ::signbit(x); +} + +template <typename T> +BOOST_MATH_GPU_ENABLED T changesign(T x) +{ + return -x; +} + +template <typename T> +BOOST_MATH_GPU_ENABLED T copysign(T x, T y) +{ + return ::copysign(x, y); +} + +template <> +BOOST_MATH_GPU_ENABLED float copysign(float x, float y) +{ + return ::copysignf(x, y); +} + +template <typename T> +BOOST_MATH_GPU_ENABLED T sign(T z) +{ + return (z == 0) ? 0 : ::signbit(z) ? -1 : 1; +} + +} // namespace math +} // namespace boost + +#endif // __CUDACC_RTC__ #endif // BOOST_MATH_TOOLS_SIGN_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/sin_pi.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/sin_pi.hpp index 5b8eb6fcf2..e59e232e6d 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/sin_pi.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/sin_pi.hpp @@ -1,4 +1,5 @@ // Copyright (c) 2007 John Maddock +// Copyright (c) 2024 Matt Borland // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,9 +11,14 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <cmath> #include <limits> -#include <boost/math/tools/config.hpp> +#include <type_traits> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/trunc.hpp> #include <boost/math/tools/promotion.hpp> @@ -21,11 +27,9 @@ namespace boost{ namespace math{ namespace detail{ template <class T, class Policy> -inline T sin_pi_imp(T x, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline T sin_pi_imp(T x, const Policy&) { BOOST_MATH_STD_USING // ADL of std names - if(x < 0) - return -sin_pi_imp(T(-x), pol); // sin of pi*x: if(x < T(0.5)) return sin(constants::pi<T>() * x); @@ -39,7 +43,7 @@ inline T sin_pi_imp(T x, const Policy& pol) invert = false; T rem = floor(x); - if(abs(floor(rem/2)*2 - rem) > std::numeric_limits<T>::epsilon()) + if(abs(floor(rem/2)*2 - rem) > boost::math::numeric_limits<T>::epsilon()) { invert = !invert; } @@ -53,10 +57,23 @@ inline T sin_pi_imp(T x, const Policy& pol) return invert ? T(-rem) : rem; } +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED inline T sin_pi_dispatch(T x, const Policy& pol) +{ + if (x < T(0)) + { + return -sin_pi_imp(T(-x), pol); + } + else + { + return sin_pi_imp(T(x), pol); + } +} + } // namespace detail template <class T, class Policy> -inline typename tools::promote_args<T>::type sin_pi(T x, const Policy&) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type sin_pi(T x, const Policy&) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; @@ -69,7 +86,7 @@ inline typename tools::promote_args<T>::type sin_pi(T x, const Policy&) // We want to ignore overflows since the result is in [-1,1] and the // check slows the code down considerably. policies::overflow_error<policies::ignore_error> >::type forwarding_policy; - return policies::checked_narrowing_cast<result_type, forwarding_policy>(boost::math::detail::sin_pi_imp<value_type>(x, forwarding_policy()), "sin_pi"); + return policies::checked_narrowing_cast<result_type, forwarding_policy>(boost::math::detail::sin_pi_dispatch<value_type>(x, forwarding_policy()), "sin_pi"); } template <class T> @@ -80,5 +97,40 @@ inline typename tools::promote_args<T>::type sin_pi(T x) } // namespace math } // namespace boost + +#else // Special handling for NVRTC + +namespace boost { +namespace math { + +template <typename T> +BOOST_MATH_GPU_ENABLED auto sin_pi(T x) +{ + return ::sinpi(x); +} + +template <> +BOOST_MATH_GPU_ENABLED auto sin_pi(float x) +{ + return ::sinpif(x); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED auto sin_pi(T x, const Policy&) +{ + return ::sinpi(x); +} + +template <typename Policy> +BOOST_MATH_GPU_ENABLED auto sin_pi(float x, const Policy&) +{ + return ::sinpif(x); +} + +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_HAS_NVRTC + #endif diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/sinc.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/sinc.hpp index ff1b2e966b..0c18ac3468 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/sinc.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/sinc.hpp @@ -17,13 +17,13 @@ #include <boost/math/tools/config.hpp> #include <boost/math/tools/precision.hpp> +#include <boost/math/tools/promotion.hpp> #include <boost/math/policies/policy.hpp> -#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/fpclassify.hpp> -#include <limits> -#include <string> -#include <stdexcept> -#include <cmath> + +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/special_functions/math_fwd.hpp> +#endif // These are the the "Sinus Cardinal" functions. @@ -36,7 +36,7 @@ namespace boost // This is the "Sinus Cardinal" of index Pi. template<typename T> - inline T sinc_pi_imp(const T x) + BOOST_MATH_GPU_ENABLED inline T sinc_pi_imp(const T x) { BOOST_MATH_STD_USING @@ -44,7 +44,7 @@ namespace boost { return 0; } - else if (abs(x) >= 3.3 * tools::forth_root_epsilon<T>()) + else if (abs(x) >= T(3.3) * tools::forth_root_epsilon<T>()) { return(sin(x)/x); } @@ -58,24 +58,23 @@ namespace boost } // namespace detail template <class T> - inline typename tools::promote_args<T>::type sinc_pi(T x) + BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type sinc_pi(T x) { typedef typename tools::promote_args<T>::type result_type; return detail::sinc_pi_imp(static_cast<result_type>(x)); } template <class T, class Policy> - inline typename tools::promote_args<T>::type sinc_pi(T x, const Policy&) + BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type sinc_pi(T x, const Policy&) { typedef typename tools::promote_args<T>::type result_type; return detail::sinc_pi_imp(static_cast<result_type>(x)); } template<typename T, template<typename> class U> - inline U<T> sinc_pi(const U<T> x) + BOOST_MATH_GPU_ENABLED inline U<T> sinc_pi(const U<T> x) { BOOST_MATH_STD_USING - using ::std::numeric_limits; T const taylor_0_bound = tools::epsilon<T>(); T const taylor_2_bound = tools::root_epsilon<T>(); @@ -88,11 +87,11 @@ namespace boost else { // approximation by taylor series in x at 0 up to order 0 -#ifdef __MWERKS__ + #ifdef __MWERKS__ U<T> result = static_cast<U<T> >(1); -#else + #else U<T> result = U<T>(1); -#endif + #endif if (abs(x) >= taylor_0_bound) { @@ -113,7 +112,7 @@ namespace boost } template<typename T, template<typename> class U, class Policy> - inline U<T> sinc_pi(const U<T> x, const Policy&) + BOOST_MATH_GPU_ENABLED inline U<T> sinc_pi(const U<T> x, const Policy&) { return sinc_pi(x); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/sqrt1pm1.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/sqrt1pm1.hpp index 041916a53f..4d8aeb38cf 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/sqrt1pm1.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/sqrt1pm1.hpp @@ -10,6 +10,7 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> #include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/log1p.hpp> #include <boost/math/special_functions/expm1.hpp> @@ -21,7 +22,7 @@ namespace boost{ namespace math{ template <class T, class Policy> -inline typename tools::promote_args<T>::type sqrt1pm1(const T& val, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type sqrt1pm1(const T& val, const Policy& pol) { typedef typename tools::promote_args<T>::type result_type; BOOST_MATH_STD_USING @@ -32,7 +33,7 @@ inline typename tools::promote_args<T>::type sqrt1pm1(const T& val, const Policy } template <class T> -inline typename tools::promote_args<T>::type sqrt1pm1(const T& val) +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type sqrt1pm1(const T& val) { return sqrt1pm1(val, policies::policy<>()); } diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/trigamma.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/trigamma.hpp index f74b43db1f..61a60b502f 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/trigamma.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/trigamma.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,14 +11,22 @@ #pragma once #endif -#include <boost/math/special_functions/math_fwd.hpp> +#include <boost/math/tools/config.hpp> #include <boost/math/tools/rational.hpp> -#include <boost/math/tools/series.hpp> #include <boost/math/tools/promotion.hpp> +#include <boost/math/tools/big_constant.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/policies/policy.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/constants/constants.hpp> -#include <boost/math/tools/big_constant.hpp> +#include <boost/math/special_functions/sin_pi.hpp> +#include <boost/math/special_functions/pow.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC +#include <boost/math/special_functions/math_fwd.hpp> #include <boost/math/special_functions/polygamma.hpp> +#include <boost/math/tools/series.hpp> +#endif #if defined(__GNUC__) && defined(BOOST_MATH_USE_FLOAT128) // @@ -33,15 +42,24 @@ namespace boost{ namespace math{ namespace detail{ +// TODO(mborland): Temporary for NVRTC +#ifndef BOOST_MATH_HAS_NVRTC template<class T, class Policy> T polygamma_imp(const int n, T x, const Policy &pol); template <class T, class Policy> -T trigamma_prec(T x, const std::integral_constant<int, 53>*, const Policy&) +T trigamma_prec(T x, const Policy& pol, const boost::math::integral_constant<int, 0>&) +{ + return polygamma_imp(1, x, pol); +} +#endif + +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED T trigamma_prec(T x, const Policy&, const boost::math::integral_constant<int, 53>&) { // Max error in interpolated form: 3.736e-017 - static const T offset = BOOST_MATH_BIG_CONSTANT(T, 53, 2.1093254089355469); - static const T P_1_2[] = { + BOOST_MATH_STATIC const T offset = BOOST_MATH_BIG_CONSTANT(T, 53, 2.1093254089355469); + BOOST_MATH_STATIC const T P_1_2[] = { BOOST_MATH_BIG_CONSTANT(T, 53, -1.1093280605946045), BOOST_MATH_BIG_CONSTANT(T, 53, -3.8310674472619321), BOOST_MATH_BIG_CONSTANT(T, 53, -3.3703848401898283), @@ -49,7 +67,7 @@ T trigamma_prec(T x, const std::integral_constant<int, 53>*, const Policy&) BOOST_MATH_BIG_CONSTANT(T, 53, 1.6638069578676164), BOOST_MATH_BIG_CONSTANT(T, 53, 0.64468386819102836), }; - static const T Q_1_2[] = { + BOOST_MATH_STATIC const T Q_1_2[] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, 3.4535389668541151), BOOST_MATH_BIG_CONSTANT(T, 53, 4.5208926987851437), @@ -58,7 +76,7 @@ T trigamma_prec(T x, const std::integral_constant<int, 53>*, const Policy&) BOOST_MATH_BIG_CONSTANT(T, 53, -0.20314516859987728e-6), }; // Max error in interpolated form: 1.159e-017 - static const T P_2_4[] = { + BOOST_MATH_STATIC const T P_2_4[] = { BOOST_MATH_BIG_CONSTANT(T, 53, -0.13803835004508849e-7), BOOST_MATH_BIG_CONSTANT(T, 53, 0.50000049158540261), BOOST_MATH_BIG_CONSTANT(T, 53, 1.6077979838469348), @@ -66,7 +84,7 @@ T trigamma_prec(T x, const std::integral_constant<int, 53>*, const Policy&) BOOST_MATH_BIG_CONSTANT(T, 53, 2.0534873203680393), BOOST_MATH_BIG_CONSTANT(T, 53, 0.74566981111565923), }; - static const T Q_2_4[] = { + BOOST_MATH_STATIC const T Q_2_4[] = { BOOST_MATH_BIG_CONSTANT(T, 53, 1.0), BOOST_MATH_BIG_CONSTANT(T, 53, 2.8822787662376169), BOOST_MATH_BIG_CONSTANT(T, 53, 4.1681660554090917), @@ -77,7 +95,7 @@ T trigamma_prec(T x, const std::integral_constant<int, 53>*, const Policy&) // Maximum Deviation Found: 6.896e-018 // Expected Error Term : -6.895e-018 // Maximum Relative Change in Control Points : 8.497e-004 - static const T P_4_inf[] = { + BOOST_MATH_STATIC const T P_4_inf[] = { static_cast<T>(0.68947581948701249e-17L), static_cast<T>(0.49999999999998975L), static_cast<T>(1.0177274392923795L), @@ -86,7 +104,7 @@ T trigamma_prec(T x, const std::integral_constant<int, 53>*, const Policy&) static_cast<T>(1.5897035272532764L), static_cast<T>(0.40154388356961734L), }; - static const T Q_4_inf[] = { + BOOST_MATH_STATIC const T Q_4_inf[] = { static_cast<T>(1.0L), static_cast<T>(1.7021215452463932L), static_cast<T>(4.4290431747556469L), @@ -110,11 +128,11 @@ T trigamma_prec(T x, const std::integral_constant<int, 53>*, const Policy&) } template <class T, class Policy> -T trigamma_prec(T x, const std::integral_constant<int, 64>*, const Policy&) +BOOST_MATH_GPU_ENABLED T trigamma_prec(T x, const Policy&, const boost::math::integral_constant<int, 64>&) { // Max error in interpolated form: 1.178e-020 - static const T offset_1_2 = BOOST_MATH_BIG_CONSTANT(T, 64, 2.109325408935546875); - static const T P_1_2[] = { + BOOST_MATH_STATIC const T offset_1_2 = BOOST_MATH_BIG_CONSTANT(T, 64, 2.109325408935546875); + BOOST_MATH_STATIC const T P_1_2[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -1.10932535608960258341), BOOST_MATH_BIG_CONSTANT(T, 64, -4.18793841543017129052), BOOST_MATH_BIG_CONSTANT(T, 64, -4.63865531898487734531), @@ -123,7 +141,7 @@ T trigamma_prec(T x, const std::integral_constant<int, 64>*, const Policy&) BOOST_MATH_BIG_CONSTANT(T, 64, 1.21172611429185622377), BOOST_MATH_BIG_CONSTANT(T, 64, 0.259635673503366427284), }; - static const T Q_1_2[] = { + BOOST_MATH_STATIC const T Q_1_2[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.0), BOOST_MATH_BIG_CONSTANT(T, 64, 3.77521119359546982995), BOOST_MATH_BIG_CONSTANT(T, 64, 5.664338024578956321), @@ -133,7 +151,7 @@ T trigamma_prec(T x, const std::integral_constant<int, 64>*, const Policy&) BOOST_MATH_BIG_CONSTANT(T, 64, 0.629642219810618032207e-8), }; // Max error in interpolated form: 3.912e-020 - static const T P_2_8[] = { + BOOST_MATH_STATIC const T P_2_8[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.387540035162952880976e-11), BOOST_MATH_BIG_CONSTANT(T, 64, 0.500000000276430504), BOOST_MATH_BIG_CONSTANT(T, 64, 3.21926880986360957306), @@ -143,7 +161,7 @@ T trigamma_prec(T x, const std::integral_constant<int, 64>*, const Policy&) BOOST_MATH_BIG_CONSTANT(T, 64, 13.4346512182925923978), BOOST_MATH_BIG_CONSTANT(T, 64, 3.98656291026448279118), }; - static const T Q_2_8[] = { + BOOST_MATH_STATIC const T Q_2_8[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.0), BOOST_MATH_BIG_CONSTANT(T, 64, 6.10520430478613667724), BOOST_MATH_BIG_CONSTANT(T, 64, 18.475001060603645512), @@ -156,7 +174,7 @@ T trigamma_prec(T x, const std::integral_constant<int, 64>*, const Policy&) // Maximum Deviation Found: 2.635e-020 // Expected Error Term : 2.635e-020 // Maximum Relative Change in Control Points : 1.791e-003 - static const T P_8_inf[] = { + BOOST_MATH_STATIC const T P_8_inf[] = { BOOST_MATH_BIG_CONSTANT(T, 64, -0.263527875092466899848e-19), BOOST_MATH_BIG_CONSTANT(T, 64, 0.500000000000000058145), BOOST_MATH_BIG_CONSTANT(T, 64, 0.0730121433777364138677), @@ -164,7 +182,7 @@ T trigamma_prec(T x, const std::integral_constant<int, 64>*, const Policy&) BOOST_MATH_BIG_CONSTANT(T, 64, 0.0517092358874932620529), BOOST_MATH_BIG_CONSTANT(T, 64, 1.07995383547483921121), }; - static const T Q_8_inf[] = { + BOOST_MATH_STATIC const T Q_8_inf[] = { BOOST_MATH_BIG_CONSTANT(T, 64, 1.0), BOOST_MATH_BIG_CONSTANT(T, 64, -0.187309046577818095504), BOOST_MATH_BIG_CONSTANT(T, 64, 3.95255391645238842975), @@ -188,7 +206,7 @@ T trigamma_prec(T x, const std::integral_constant<int, 64>*, const Policy&) } template <class T, class Policy> -T trigamma_prec(T x, const std::integral_constant<int, 113>*, const Policy&) +BOOST_MATH_GPU_ENABLED T trigamma_prec(T x, const Policy&, const boost::math::integral_constant<int, 113>&) { // Max error in interpolated form: 1.916e-035 @@ -356,8 +374,8 @@ T trigamma_prec(T x, const std::integral_constant<int, 113>*, const Policy&) return (1 + tools::evaluate_polynomial(P_16_inf, y) / tools::evaluate_polynomial(Q_16_inf, y)) / x; } -template <class T, class Tag, class Policy> -T trigamma_imp(T x, const Tag* t, const Policy& pol) +template <class T, class Policy, class Tag> +BOOST_MATH_GPU_ENABLED T trigamma_dispatch(T x, const Policy& pol, const Tag& tag) { // // This handles reflection of negative arguments, and all our @@ -373,27 +391,29 @@ T trigamma_imp(T x, const Tag* t, const Policy& pol) { // Reflect: T z = 1 - x; + + if(z < 1) + { + result = 1 / (z * z); + z += 1; + } + // Argument reduction for tan: if(floor(x) == x) { return policies::raise_pole_error<T>("boost::math::trigamma<%1%>(%1%)", nullptr, (1-x), pol); } T s = fabs(x) < fabs(z) ? boost::math::sin_pi(x, pol) : boost::math::sin_pi(z, pol); - return -trigamma_imp(z, t, pol) + boost::math::pow<2>(constants::pi<T>()) / (s * s); + return result - trigamma_prec(T(z), pol, tag) + boost::math::pow<2>(constants::pi<T>()) / (s * s); } if(x < 1) { result = 1 / (x * x); x += 1; } - return result + trigamma_prec(x, t, pol); + return result + trigamma_prec(x, pol, tag); } -template <class T, class Policy> -T trigamma_imp(T x, const std::integral_constant<int, 0>*, const Policy& pol) -{ - return polygamma_imp(1, x, pol); -} // // Initializer: ensure all our constants are initialized prior to the first call of main: // @@ -402,22 +422,24 @@ struct trigamma_initializer { struct init { - init() + BOOST_MATH_GPU_ENABLED init() { typedef typename policies::precision<T, Policy>::type precision_type; - do_init(std::integral_constant<bool, precision_type::value && (precision_type::value <= 113)>()); + do_init(boost::math::integral_constant<bool, precision_type::value && (precision_type::value <= 113)>()); } - void do_init(const std::true_type&) + BOOST_MATH_GPU_ENABLED void do_init(const boost::math::true_type&) { boost::math::trigamma(T(2.5), Policy()); } - void do_init(const std::false_type&){} - void force_instantiate()const{} + BOOST_MATH_GPU_ENABLED void do_init(const boost::math::false_type&){} + BOOST_MATH_GPU_ENABLED void force_instantiate()const{} }; static const init initializer; - static void force_instantiate() + BOOST_MATH_GPU_ENABLED static void force_instantiate() { + #ifndef BOOST_MATH_HAS_GPU_SUPPORT initializer.force_instantiate(); + #endif } }; @@ -427,13 +449,13 @@ const typename trigamma_initializer<T, Policy>::init trigamma_initializer<T, Pol } // namespace detail template <class T, class Policy> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type trigamma(T x, const Policy&) { typedef typename tools::promote_args<T>::type result_type; typedef typename policies::evaluation<result_type, Policy>::type value_type; typedef typename policies::precision<T, Policy>::type precision_type; - typedef std::integral_constant<int, + typedef boost::math::integral_constant<int, precision_type::value <= 0 ? 0 : precision_type::value <= 53 ? 53 : precision_type::value <= 64 ? 64 : @@ -449,13 +471,14 @@ inline typename tools::promote_args<T>::type // Force initialization of constants: detail::trigamma_initializer<value_type, forwarding_policy>::force_instantiate(); - return policies::checked_narrowing_cast<result_type, Policy>(detail::trigamma_imp( + return policies::checked_narrowing_cast<result_type, Policy>(detail::trigamma_dispatch( static_cast<value_type>(x), - static_cast<const tag_type*>(nullptr), forwarding_policy()), "boost::math::trigamma<%1%>(%1%)"); + forwarding_policy(), + tag_type()), "boost::math::trigamma<%1%>(%1%)"); } template <class T> -inline typename tools::promote_args<T>::type +BOOST_MATH_GPU_ENABLED inline typename tools::promote_args<T>::type trigamma(T x) { return trigamma(x, policies::policy<>()); diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/trunc.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/trunc.hpp index a084de560b..b52f4f321c 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/trunc.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/trunc.hpp @@ -11,9 +11,14 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/numeric_limits.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + #include <type_traits> #include <boost/math/special_functions/math_fwd.hpp> -#include <boost/math/tools/config.hpp> #include <boost/math/ccmath/detail/config.hpp> #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/fpclassify.hpp> @@ -27,7 +32,7 @@ namespace boost{ namespace math{ namespace detail{ template <class T, class Policy> -inline tools::promote_args_t<T> trunc(const T& v, const Policy& pol, const std::false_type&) +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T> trunc(const T& v, const Policy& pol, const std::false_type&) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t<T>; @@ -39,23 +44,66 @@ inline tools::promote_args_t<T> trunc(const T& v, const Policy& pol, const std:: } template <class T, class Policy> -inline tools::promote_args_t<T> trunc(const T& v, const Policy&, const std::true_type&) +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T> trunc(const T& v, const Policy&, const std::true_type&) { return v; } -} +} // Namespace detail template <class T, class Policy> -inline tools::promote_args_t<T> trunc(const T& v, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T> trunc(const T& v, const Policy& pol) { return detail::trunc(v, pol, std::integral_constant<bool, detail::is_integer_for_rounding<T>::value>()); } + template <class T> -inline tools::promote_args_t<T> trunc(const T& v) +BOOST_MATH_GPU_ENABLED inline tools::promote_args_t<T> trunc(const T& v) { return trunc(v, policies::policy<>()); } + +#else // Special handling for nvrtc + +namespace boost { +namespace math { + +namespace detail { + +template <typename T> +BOOST_MATH_GPU_ENABLED double trunc_impl(T x) +{ + return static_cast<double>(x); +} + +BOOST_MATH_GPU_ENABLED inline float trunc_impl(float x) +{ + return ::truncf(x); +} + +BOOST_MATH_GPU_ENABLED inline double trunc_impl(double x) +{ + return ::trunc(x); +} + +} // Namespace detail + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED auto trunc(T x, const Policy&) +{ + return detail::trunc_impl(x); +} + +template <typename T> +BOOST_MATH_GPU_ENABLED auto trunc(T x) +{ + return detail::trunc_impl(x); +} + +#endif + +#ifndef BOOST_MATH_HAS_NVRTC + // // The following functions will not compile unless T has an // implicit conversion to the integer types. For user-defined @@ -70,13 +118,13 @@ inline tools::promote_args_t<T> trunc(const T& v) // https://stackoverflow.com/questions/27442885/syntax-error-with-stdnumeric-limitsmax // template <class T, class Policy> -inline int itrunc(const T& v, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline int itrunc(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t<T>; result_type r = boost::math::trunc(v, pol); - #ifdef BOOST_MATH_HAS_CONSTEXPR_LDEXP + #if defined(BOOST_MATH_HAS_CONSTEXPR_LDEXP) && !defined(BOOST_MATH_HAS_GPU_SUPPORT) if constexpr (std::is_arithmetic_v<result_type> #ifdef BOOST_MATH_FLOAT128_TYPE && !std::is_same_v<BOOST_MATH_FLOAT128_TYPE, result_type> @@ -100,7 +148,7 @@ inline int itrunc(const T& v, const Policy& pol) } } #else - static const result_type max_val = ldexp(static_cast<result_type>(1), std::numeric_limits<int>::digits); + BOOST_MATH_STATIC_LOCAL_VARIABLE const result_type max_val = ldexp(static_cast<result_type>(1), std::numeric_limits<int>::digits); if (r >= max_val || r < -max_val) { @@ -110,20 +158,21 @@ inline int itrunc(const T& v, const Policy& pol) return static_cast<int>(r); } + template <class T> -inline int itrunc(const T& v) +BOOST_MATH_GPU_ENABLED inline int itrunc(const T& v) { return itrunc(v, policies::policy<>()); } template <class T, class Policy> -inline long ltrunc(const T& v, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline long ltrunc(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t<T>; result_type r = boost::math::trunc(v, pol); - #ifdef BOOST_MATH_HAS_CONSTEXPR_LDEXP + #if defined(BOOST_MATH_HAS_CONSTEXPR_LDEXP) && !defined(BOOST_MATH_HAS_GPU_SUPPORT) if constexpr (std::is_arithmetic_v<result_type> #ifdef BOOST_MATH_FLOAT128_TYPE && !std::is_same_v<BOOST_MATH_FLOAT128_TYPE, result_type> @@ -147,7 +196,7 @@ inline long ltrunc(const T& v, const Policy& pol) } } #else - static const result_type max_val = ldexp(static_cast<result_type>(1), std::numeric_limits<long>::digits); + BOOST_MATH_STATIC_LOCAL_VARIABLE const result_type max_val = ldexp(static_cast<result_type>(1), std::numeric_limits<long>::digits); if (r >= max_val || r < -max_val) { @@ -157,20 +206,21 @@ inline long ltrunc(const T& v, const Policy& pol) return static_cast<long>(r); } + template <class T> -inline long ltrunc(const T& v) +BOOST_MATH_GPU_ENABLED inline long ltrunc(const T& v) { return ltrunc(v, policies::policy<>()); } template <class T, class Policy> -inline long long lltrunc(const T& v, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline long long lltrunc(const T& v, const Policy& pol) { BOOST_MATH_STD_USING using result_type = tools::promote_args_t<T>; result_type r = boost::math::trunc(v, pol); - #ifdef BOOST_MATH_HAS_CONSTEXPR_LDEXP + #if defined(BOOST_MATH_HAS_CONSTEXPR_LDEXP) && !defined(BOOST_MATH_HAS_GPU_SUPPORT) if constexpr (std::is_arithmetic_v<result_type> #ifdef BOOST_MATH_FLOAT128_TYPE && !std::is_same_v<BOOST_MATH_FLOAT128_TYPE, result_type> @@ -194,7 +244,7 @@ inline long long lltrunc(const T& v, const Policy& pol) } } #else - static const result_type max_val = ldexp(static_cast<result_type>(1), std::numeric_limits<long long>::digits); + BOOST_MATH_STATIC_LOCAL_VARIABLE const result_type max_val = ldexp(static_cast<result_type>(1), std::numeric_limits<long long>::digits); if (r >= max_val || r < -max_val) { @@ -204,21 +254,81 @@ inline long long lltrunc(const T& v, const Policy& pol) return static_cast<long long>(r); } + template <class T> -inline long long lltrunc(const T& v) +BOOST_MATH_GPU_ENABLED inline long long lltrunc(const T& v) { return lltrunc(v, policies::policy<>()); } +#else // Reduced impl specifically for NVRTC platform + +namespace detail { + +template <typename TargetType, typename T> +BOOST_MATH_GPU_ENABLED TargetType integer_trunc_impl(T v) +{ + double r = boost::math::trunc(v); + + const double max_val = ldexp(1.0, boost::math::numeric_limits<TargetType>::digits); + + if (r >= max_val || r < -max_val) + { + r = 0; + } + + return static_cast<TargetType>(r); +} + +} // Namespace detail + +template <typename T> +BOOST_MATH_GPU_ENABLED int itrunc(T v) +{ + return detail::integer_trunc_impl<int>(v); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED int itrunc(T v, const Policy&) +{ + return detail::integer_trunc_impl<int>(v); +} + +template <typename T> +BOOST_MATH_GPU_ENABLED long ltrunc(T v) +{ + return detail::integer_trunc_impl<long>(v); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED long ltrunc(T v, const Policy&) +{ + return detail::integer_trunc_impl<long>(v); +} + +template <typename T> +BOOST_MATH_GPU_ENABLED long long lltrunc(T v) +{ + return detail::integer_trunc_impl<long long>(v); +} + +template <typename T, typename Policy> +BOOST_MATH_GPU_ENABLED long long lltrunc(T v, const Policy&) +{ + return detail::integer_trunc_impl<long long>(v); +} + +#endif // BOOST_MATH_HAS_NVRTC + template <class T, class Policy> -inline typename std::enable_if<std::is_constructible<int, T>::value, int>::type +BOOST_MATH_GPU_ENABLED inline boost::math::enable_if_t<boost::math::is_constructible_v<int, T>, int> iconvert(const T& v, const Policy&) { return static_cast<int>(v); } template <class T, class Policy> -inline typename std::enable_if<!std::is_constructible<int, T>::value, int>::type +BOOST_MATH_GPU_ENABLED inline boost::math::enable_if_t<!boost::math::is_constructible_v<int, T>, int> iconvert(const T& v, const Policy& pol) { using boost::math::itrunc; @@ -226,14 +336,14 @@ inline typename std::enable_if<!std::is_constructible<int, T>::value, int>::type } template <class T, class Policy> -inline typename std::enable_if<std::is_constructible<long, T>::value, long>::type +BOOST_MATH_GPU_ENABLED inline boost::math::enable_if_t<boost::math::is_constructible_v<long, T>, long> lconvert(const T& v, const Policy&) { return static_cast<long>(v); } template <class T, class Policy> -inline typename std::enable_if<!std::is_constructible<long, T>::value, long>::type +BOOST_MATH_GPU_ENABLED inline boost::math::enable_if_t<!boost::math::is_constructible_v<long, T>, long> lconvert(const T& v, const Policy& pol) { using boost::math::ltrunc; @@ -241,14 +351,29 @@ inline typename std::enable_if<!std::is_constructible<long, T>::value, long>::ty } template <class T, class Policy> -inline typename std::enable_if<std::is_constructible<long long, T>::value, long long>::type +BOOST_MATH_GPU_ENABLED inline boost::math::enable_if_t<boost::math::is_constructible_v<long long, T>, long long> + llconvert(const T& v, const Policy&) +{ + return static_cast<long long>(v); +} + +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED inline typename boost::math::enable_if_t<!boost::math::is_constructible_v<long long, T>, long long> + llconvert(const T& v, const Policy& pol) +{ + using boost::math::lltrunc; + return lltrunc(v, pol); +} + +template <class T, class Policy> +BOOST_MATH_GPU_ENABLED [[deprecated("Use llconvert")]] inline boost::math::enable_if_t<boost::math::is_constructible_v<long long, T>, long long> llconvertert(const T& v, const Policy&) { return static_cast<long long>(v); } template <class T, class Policy> -inline typename std::enable_if<!std::is_constructible<long long, T>::value, long long>::type +BOOST_MATH_GPU_ENABLED [[deprecated("Use llconvert")]] inline typename boost::math::enable_if_t<!boost::math::is_constructible_v<long long, T>, long long> llconvertert(const T& v, const Policy& pol) { using boost::math::lltrunc; diff --git a/contrib/restricted/boost/math/include/boost/math/special_functions/ulp.hpp b/contrib/restricted/boost/math/include/boost/math/special_functions/ulp.hpp index 3c0616db0e..5d1617aced 100644 --- a/contrib/restricted/boost/math/include/boost/math/special_functions/ulp.hpp +++ b/contrib/restricted/boost/math/include/boost/math/special_functions/ulp.hpp @@ -14,6 +14,7 @@ #include <boost/math/policies/error_handling.hpp> #include <boost/math/special_functions/fpclassify.hpp> #include <boost/math/special_functions/next.hpp> +#include <boost/math/tools/precision.hpp> namespace boost{ namespace math{ namespace detail{ diff --git a/contrib/restricted/boost/math/include/boost/math/tools/array.hpp b/contrib/restricted/boost/math/include/boost/math/tools/array.hpp new file mode 100644 index 0000000000..23e666673c --- /dev/null +++ b/contrib/restricted/boost/math/include/boost/math/tools/array.hpp @@ -0,0 +1,41 @@ +// Copyright (c) 2024 Matt Borland +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file +// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) +// +// Regular use of std::array functions can not be used on +// GPU platforms like CUDA since they are missing the __device__ marker +// Alias as needed to get correct support + +#ifndef BOOST_MATH_TOOLS_ARRAY_HPP +#define BOOST_MATH_TOOLS_ARRAY_HPP + +#include <boost/math/tools/config.hpp> + +#ifdef BOOST_MATH_ENABLE_CUDA + +#include <cuda/std/array> + +namespace boost { +namespace math { + +using cuda::std::array; + +} // namespace math +} // namespace boost + +#else + +#include <array> + +namespace boost { +namespace math { + +using std::array; + +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_ENABLE_CUDA + +#endif // BOOST_MATH_TOOLS_ARRAY_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/tools/assert.hpp b/contrib/restricted/boost/math/include/boost/math/tools/assert.hpp index 3d5655923a..3f57351fc1 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/assert.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/assert.hpp @@ -10,6 +10,19 @@ #ifndef BOOST_MATH_TOOLS_ASSERT_HPP #define BOOST_MATH_TOOLS_ASSERT_HPP +#include <boost/math/tools/config.hpp> + +#ifdef BOOST_MATH_HAS_GPU_SUPPORT + +// Run time asserts are generally unsupported + +#define BOOST_MATH_ASSERT(expr) +#define BOOST_MATH_ASSERT_MSG(expr, msg) +#define BOOST_MATH_STATIC_ASSERT(expr) static_assert(expr, #expr " failed") +#define BOOST_MATH_STATIC_ASSERT_MSG(expr, msg) static_assert(expr, msg) + +#else + #include <boost/math/tools/is_standalone.hpp> #ifndef BOOST_MATH_STANDALONE @@ -29,6 +42,8 @@ #define BOOST_MATH_STATIC_ASSERT(expr) static_assert(expr, #expr " failed") #define BOOST_MATH_STATIC_ASSERT_MSG(expr, msg) static_assert(expr, msg) -#endif +#endif // Is standalone + +#endif // BOOST_MATH_HAS_GPU_SUPPORT #endif // BOOST_MATH_TOOLS_ASSERT_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/tools/big_constant.hpp b/contrib/restricted/boost/math/include/boost/math/tools/big_constant.hpp index eaa34dd230..0d54976bc4 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/big_constant.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/big_constant.hpp @@ -8,6 +8,12 @@ #define BOOST_MATH_TOOLS_BIG_CONSTANT_HPP #include <boost/math/tools/config.hpp> + +// On NVRTC we don't need any of this +// We just have a simple definition of the macro since the largest float +// type on the platform is a 64-bit double +#ifndef BOOST_MATH_HAS_NVRTC + #ifndef BOOST_MATH_STANDALONE #include <boost/lexical_cast.hpp> #endif @@ -43,12 +49,12 @@ typedef double largest_float; #endif template <class T> -inline constexpr T make_big_value(largest_float v, const char*, std::true_type const&, std::false_type const&) BOOST_MATH_NOEXCEPT(T) +BOOST_MATH_GPU_ENABLED constexpr T make_big_value(largest_float v, const char*, std::true_type const&, std::false_type const&) BOOST_MATH_NOEXCEPT(T) { return static_cast<T>(v); } template <class T> -inline constexpr T make_big_value(largest_float v, const char*, std::true_type const&, std::true_type const&) BOOST_MATH_NOEXCEPT(T) +BOOST_MATH_GPU_ENABLED constexpr T make_big_value(largest_float v, const char*, std::true_type const&, std::true_type const&) BOOST_MATH_NOEXCEPT(T) { return static_cast<T>(v); } @@ -94,5 +100,7 @@ inline constexpr T make_big_value(largest_float, const char* s, std::false_type }}} // namespaces +#endif // BOOST_MATH_HAS_NVRTC + #endif diff --git a/contrib/restricted/boost/math/include/boost/math/tools/complex.hpp b/contrib/restricted/boost/math/include/boost/math/tools/complex.hpp index d462ca8092..ec51440116 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/complex.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/complex.hpp @@ -10,9 +10,39 @@ #ifndef BOOST_MATH_TOOLS_COMPLEX_HPP #define BOOST_MATH_TOOLS_COMPLEX_HPP -#include <utility> +#include <boost/math/tools/config.hpp> #include <boost/math/tools/is_detected.hpp> +#ifdef BOOST_MATH_ENABLE_CUDA + +#include <cuda/std/utility> +#include <cuda/std/complex> + +namespace boost { +namespace math { + +template <typename T> +using complex = cuda::std::complex<T>; + +} // namespace math +} // namespace boost + +#else + +#include <utility> +#include <complex> + +namespace boost { +namespace math { + +template <typename T> +using complex = std::complex<T>; + +} // namespace math +} // namespace boost + +#endif + namespace boost { namespace math { namespace tools { @@ -24,12 +54,21 @@ namespace boost { static constexpr bool value = false; }; + #ifndef BOOST_MATH_ENABLE_CUDA template <typename T> struct is_complex_type_impl<T, void_t<decltype(std::declval<T>().real()), decltype(std::declval<T>().imag())>> { static constexpr bool value = true; }; + #else + template <typename T> + struct is_complex_type_impl<T, void_t<decltype(cuda::std::declval<T>().real()), + decltype(cuda::std::declval<T>().imag())>> + { + static constexpr bool value = true; + }; + #endif } // Namespace detail template <typename T> diff --git a/contrib/restricted/boost/math/include/boost/math/tools/config.hpp b/contrib/restricted/boost/math/include/boost/math/tools/config.hpp index 4c75f0c2ca..53586b3857 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/config.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/config.hpp @@ -11,6 +11,8 @@ #pragma once #endif +#ifndef __CUDACC_RTC__ + #include <boost/math/tools/is_standalone.hpp> // Minimum language standard transition @@ -218,12 +220,16 @@ #include <boost/math/tools/user.hpp> -#if (defined(__NetBSD__) || defined(__EMSCRIPTEN__)\ +#if (defined(__NetBSD__)\ || (defined(__hppa) && !defined(__OpenBSD__)) || (defined(__NO_LONG_DOUBLE_MATH) && (DBL_MANT_DIG != LDBL_MANT_DIG))) \ && !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS) //# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS #endif +#if defined(__EMSCRIPTEN__) && !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS) +# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS +#endif + #ifdef __IBMCPP__ // // For reasons I don't understand, the tests with IMB's compiler all @@ -463,7 +469,7 @@ struct non_type {}; #if defined(BOOST_MATH_STANDALONE) && defined(_GLIBCXX_USE_FLOAT128) && defined(__GNUC__) && defined(__GNUC_MINOR__) && defined(__GNUC_PATCHLEVEL__) && !defined(__STRICT_ANSI__) \ && !defined(BOOST_MATH_DISABLE_FLOAT128) && !defined(BOOST_MATH_USE_FLOAT128) # define BOOST_MATH_USE_FLOAT128 -#elif defined(BOOST_HAS_FLOAT128) && !defined(BOOST_MATH_USE_FLOAT128) +#elif defined(BOOST_HAS_FLOAT128) && !defined(BOOST_MATH_USE_FLOAT128) && !defined(BOOST_MATH_DISABLE_FLOAT128) # define BOOST_MATH_USE_FLOAT128 #endif #ifdef BOOST_MATH_USE_FLOAT128 @@ -522,7 +528,9 @@ struct non_type {}; using std::ceil;\ using std::floor;\ using std::log10;\ - using std::sqrt; + using std::sqrt;\ + using std::log2;\ + using std::ilogb; #define BOOST_MATH_STD_USING BOOST_MATH_STD_USING_CORE @@ -660,6 +668,184 @@ namespace boost{ namespace math{ #define BOOST_MATH_CONSTEXPR_TABLE_FUNCTION #endif +// +// CUDA support: +// + +#ifdef __CUDACC__ + +// We have to get our include order correct otherwise you get compilation failures +#include <cuda.h> +#include <cuda_runtime.h> +#include <cuda/std/type_traits> +#include <cuda/std/utility> +#include <cuda/std/cstdint> +#include <cuda/std/array> +#include <cuda/std/tuple> +#include <cuda/std/complex> + +# define BOOST_MATH_CUDA_ENABLED __host__ __device__ +# define BOOST_MATH_HAS_GPU_SUPPORT + +# ifndef BOOST_MATH_ENABLE_CUDA +# define BOOST_MATH_ENABLE_CUDA +# endif + +// Device code can not handle exceptions +# ifndef BOOST_MATH_NO_EXCEPTIONS +# define BOOST_MATH_NO_EXCEPTIONS +# endif + +// We want to use force inline from CUDA instead of the host compiler +# undef BOOST_MATH_FORCEINLINE +# define BOOST_MATH_FORCEINLINE __forceinline__ + +#elif defined(SYCL_LANGUAGE_VERSION) + +# define BOOST_MATH_SYCL_ENABLED SYCL_EXTERNAL +# define BOOST_MATH_HAS_GPU_SUPPORT + +# ifndef BOOST_MATH_ENABLE_SYCL +# define BOOST_MATH_ENABLE_SYCL +# endif + +# ifndef BOOST_MATH_NO_EXCEPTIONS +# define BOOST_MATH_NO_EXCEPTIONS +# endif + +// spir64 does not support long double +# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS +# define BOOST_MATH_NO_REAL_CONCEPT_TESTS + +# undef BOOST_MATH_FORCEINLINE +# define BOOST_MATH_FORCEINLINE inline + +#endif + +#ifndef BOOST_MATH_CUDA_ENABLED +# define BOOST_MATH_CUDA_ENABLED +#endif + +#ifndef BOOST_MATH_SYCL_ENABLED +# define BOOST_MATH_SYCL_ENABLED +#endif + +// Not all functions that allow CUDA allow SYCL (e.g. Recursion is disallowed by SYCL) +# define BOOST_MATH_GPU_ENABLED BOOST_MATH_CUDA_ENABLED BOOST_MATH_SYCL_ENABLED + +// Additional functions that need replaced/marked up +#ifdef BOOST_MATH_HAS_GPU_SUPPORT +template <class T> +BOOST_MATH_GPU_ENABLED constexpr void gpu_safe_swap(T& a, T& b) { T t(a); a = b; b = t; } +template <class T> +BOOST_MATH_GPU_ENABLED constexpr T gpu_safe_min(const T& a, const T& b) { return a < b ? a : b; } +template <class T> +BOOST_MATH_GPU_ENABLED constexpr T gpu_safe_max(const T& a, const T& b) { return a > b ? a : b; } + +#define BOOST_MATH_GPU_SAFE_SWAP(a, b) gpu_safe_swap(a, b) +#define BOOST_MATH_GPU_SAFE_MIN(a, b) gpu_safe_min(a, b) +#define BOOST_MATH_GPU_SAFE_MAX(a, b) gpu_safe_max(a, b) + +#else + +#define BOOST_MATH_GPU_SAFE_SWAP(a, b) std::swap(a, b) +#define BOOST_MATH_GPU_SAFE_MIN(a, b) (std::min)(a, b) +#define BOOST_MATH_GPU_SAFE_MAX(a, b) (std::max)(a, b) + +#endif + +// Static variables are not allowed with CUDA or C++20 modules +// See if we can inline them instead + +#if defined(__cpp_inline_variables) && __cpp_inline_variables >= 201606L +# define BOOST_MATH_INLINE_CONSTEXPR inline constexpr +# define BOOST_MATH_STATIC static +# ifndef BOOST_MATH_HAS_GPU_SUPPORT +# define BOOST_MATH_STATIC_LOCAL_VARIABLE static +# else +# define BOOST_MATH_STATIC_LOCAL_VARIABLE +# endif +#else +# ifndef BOOST_MATH_HAS_GPU_SUPPORT +# define BOOST_MATH_INLINE_CONSTEXPR static constexpr +# define BOOST_MATH_STATIC static +# define BOOST_MATH_STATIC_LOCAL_VARIABLE +# else +# define BOOST_MATH_INLINE_CONSTEXPR constexpr +# define BOOST_MATH_STATIC constexpr +# define BOOST_MATH_STATIC_LOCAL_VARIABLE static +# endif +#endif + +#define BOOST_MATH_FP_NAN FP_NAN +#define BOOST_MATH_FP_INFINITE FP_INFINITE +#define BOOST_MATH_FP_ZERO FP_ZERO +#define BOOST_MATH_FP_SUBNORMAL FP_SUBNORMAL +#define BOOST_MATH_FP_NORMAL FP_NORMAL + +#else // Special section for CUDA NVRTC to ensure we consume no STL headers + +#ifndef BOOST_MATH_STANDALONE +# define BOOST_MATH_STANDALONE +#endif + +#define BOOST_MATH_HAS_NVRTC +#define BOOST_MATH_ENABLE_CUDA +#define BOOST_MATH_HAS_GPU_SUPPORT + +#define BOOST_MATH_GPU_ENABLED __host__ __device__ +#define BOOST_MATH_CUDA_ENABLED __host__ __device__ + +#define BOOST_MATH_STATIC static +#define BOOST_MATH_STATIC_LOCAL_VARIABLE + +#define BOOST_MATH_NOEXCEPT(T) noexcept(boost::math::is_floating_point_v<T>) +#define BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T) +#define BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T) +#define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(T) +#define BOOST_MATH_BIG_CONSTANT(T, N, V) static_cast<T>(V) +#define BOOST_MATH_FORCEINLINE __forceinline__ +#define BOOST_MATH_STD_USING +#define BOOST_MATH_IF_CONSTEXPR if +#define BOOST_MATH_IS_FLOAT(T) (boost::math::is_floating_point<T>::value) +#define BOOST_MATH_CONSTEXPR_TABLE_FUNCTION constexpr +#define BOOST_MATH_NO_EXCEPTIONS +#define BOOST_MATH_PREVENT_MACRO_SUBSTITUTION + +// This should be defined to nothing but since it is not specifically a math macro +// we need to undef before proceeding +#ifdef BOOST_FPU_EXCEPTION_GUARD +# undef BOOST_FPU_EXCEPTION_GUARD +#endif + +#define BOOST_FPU_EXCEPTION_GUARD + +template <class T> +BOOST_MATH_GPU_ENABLED constexpr void gpu_safe_swap(T& a, T& b) { T t(a); a = b; b = t; } + +#define BOOST_MATH_GPU_SAFE_SWAP(a, b) gpu_safe_swap(a, b) +#define BOOST_MATH_GPU_SAFE_MIN(a, b) (::min)(a, b) +#define BOOST_MATH_GPU_SAFE_MAX(a, b) (::max)(a, b) + +#define BOOST_MATH_FP_NAN 0 +#define BOOST_MATH_FP_INFINITE 1 +#define BOOST_MATH_FP_ZERO 2 +#define BOOST_MATH_FP_SUBNORMAL 3 +#define BOOST_MATH_FP_NORMAL 4 + +#define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##SUF +#define BOOST_MATH_INT_TABLE_TYPE(RT, IT) IT + +#if defined(__cpp_inline_variables) && __cpp_inline_variables >= 201606L +# define BOOST_MATH_INLINE_CONSTEXPR inline constexpr +#else +# define BOOST_MATH_INLINE_CONSTEXPR constexpr +#endif + +#define BOOST_MATH_INSTRUMENT_VARIABLE(x) +#define BOOST_MATH_INSTRUMENT_CODE(x) + +#endif // NVRTC #endif // BOOST_MATH_TOOLS_CONFIG_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/tools/cstdint.hpp b/contrib/restricted/boost/math/include/boost/math/tools/cstdint.hpp new file mode 100644 index 0000000000..ce2c913b5c --- /dev/null +++ b/contrib/restricted/boost/math/include/boost/math/tools/cstdint.hpp @@ -0,0 +1,107 @@ +// Copyright (c) 2024 Matt Borland +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file +// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) + +#ifndef BOOST_MATH_TOOLS_CSTDINT +#define BOOST_MATH_TOOLS_CSTDINT + +#include <boost/math/tools/config.hpp> + + +#ifdef BOOST_MATH_ENABLE_CUDA + +#include <cuda/std/cstdint> + +namespace boost { +namespace math { + +using cuda::std::int8_t; +using cuda::std::int16_t; +using cuda::std::int32_t; +using cuda::std::int64_t; + +using cuda::std::int_fast8_t; +using cuda::std::int_fast16_t; +using cuda::std::int_fast32_t; +using cuda::std::int_fast64_t; + +using cuda::std::int_least8_t; +using cuda::std::int_least16_t; +using cuda::std::int_least32_t; +using cuda::std::int_least64_t; + +using cuda::std::intmax_t; +using cuda::std::intptr_t; + +using cuda::std::uint8_t; +using cuda::std::uint16_t; +using cuda::std::uint32_t; +using cuda::std::uint64_t; + +using cuda::std::uint_fast8_t; +using cuda::std::uint_fast16_t; +using cuda::std::uint_fast32_t; +using cuda::std::uint_fast64_t; + +using cuda::std::uint_least8_t; +using cuda::std::uint_least16_t; +using cuda::std::uint_least32_t; +using cuda::std::uint_least64_t; + +using cuda::std::uintmax_t; +using cuda::std::uintptr_t; + +using size_t = unsigned long; + +#else + +#include <cstdint> + +namespace boost { +namespace math { + +using std::int8_t; +using std::int16_t; +using std::int32_t; +using std::int64_t; + +using std::int_fast8_t; +using std::int_fast16_t; +using std::int_fast32_t; +using std::int_fast64_t; + +using std::int_least8_t; +using std::int_least16_t; +using std::int_least32_t; +using std::int_least64_t; + +using std::intmax_t; +using std::intptr_t; + +using std::uint8_t; +using std::uint16_t; +using std::uint32_t; +using std::uint64_t; + +using std::uint_fast8_t; +using std::uint_fast16_t; +using std::uint_fast32_t; +using std::uint_fast64_t; + +using std::uint_least8_t; +using std::uint_least16_t; +using std::uint_least32_t; +using std::uint_least64_t; + +using std::uintmax_t; +using std::uintptr_t; + +using std::size_t; + +#endif + +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_TOOLS_CSTDINT diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_10.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_10.hpp index 6876af2d24..04ad90b69b 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_10.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_10.hpp @@ -12,67 +12,67 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_11.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_11.hpp index a5154c7a68..f99ab82507 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_11.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_11.hpp @@ -12,73 +12,73 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_12.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_12.hpp index 82bf88c28e..3006ebe51e 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_12.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_12.hpp @@ -12,79 +12,79 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_13.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_13.hpp index f61c553dd9..0f11189097 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_13.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_13.hpp @@ -12,85 +12,85 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_14.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_14.hpp index 76e9f07b25..caba4b97ea 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_14.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_14.hpp @@ -12,91 +12,91 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_15.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_15.hpp index bca8cf7241..c8f42ac813 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_15.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_15.hpp @@ -12,97 +12,97 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_16.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_16.hpp index 16ddb081dd..2ed591ccf5 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_16.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_16.hpp @@ -12,103 +12,103 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_17.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_17.hpp index 5828621fb8..5e9fc8cd7c 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_17.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_17.hpp @@ -12,109 +12,109 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((((((a[16] * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_18.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_18.hpp index a2a1c12f4c..ffb62ff049 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_18.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_18.hpp @@ -12,115 +12,115 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((((((a[16] * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((((((a[17] * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_19.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_19.hpp index 83ede26b5a..56df108ac8 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_19.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_19.hpp @@ -12,121 +12,121 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((((((a[16] * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((((((a[17] * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((((((((a[18] * x + a[17]) * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_2.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_2.hpp index 93d0f7c9c8..63091ebddd 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_2.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_2.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_20.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_20.hpp index d770209113..c16e5143ec 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_20.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_20.hpp @@ -12,127 +12,127 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((((((a[16] * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((((((a[17] * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((((((((((((a[18] * x + a[17]) * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 20>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 20>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((((((((((((((a[19] * x + a[18]) * x + a[17]) * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_3.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_3.hpp index 0fde1a7430..0aeccc1115 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_3.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_3.hpp @@ -12,25 +12,25 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_4.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_4.hpp index 9e589791c3..61058fce84 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_4.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_4.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_5.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_5.hpp index 64dc00251d..47021bc509 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_5.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_5.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_6.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_6.hpp index dbc06347f3..bfd24371d5 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_6.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_6.hpp @@ -12,43 +12,43 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_7.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_7.hpp index 1472b2ede0..50ddca63ff 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_7.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_7.hpp @@ -12,49 +12,49 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_8.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_8.hpp index 95edfa0c60..3be7ba4d16 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_8.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_8.hpp @@ -12,55 +12,55 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_9.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_9.hpp index f434a26c4b..4ec53c48bd 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_9.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner1_9.hpp @@ -12,61 +12,61 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_10.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_10.hpp index 1fce239a47..f242d7464e 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_10.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_10.hpp @@ -12,72 +12,72 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_11.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_11.hpp index 3cf086c3b1..edf7f86c52 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_11.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_11.hpp @@ -12,79 +12,79 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_12.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_12.hpp index e9f8eae7c6..969c9c4ddd 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_12.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_12.hpp @@ -12,86 +12,86 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_13.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_13.hpp index d9d2a5e24a..ed4559d11e 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_13.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_13.hpp @@ -12,93 +12,93 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_14.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_14.hpp index b4280597a8..4b79eb78a4 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_14.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_14.hpp @@ -12,100 +12,100 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_15.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_15.hpp index 89a7a46f53..28b62eee75 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_15.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_15.hpp @@ -12,107 +12,107 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_16.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_16.hpp index d2379d2bc1..6368b40548 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_16.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_16.hpp @@ -12,114 +12,114 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_17.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_17.hpp index d1921efc49..551e6191cf 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_17.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_17.hpp @@ -12,121 +12,121 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_18.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_18.hpp index 945c4e403b..19cfdc19e1 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_18.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_18.hpp @@ -12,128 +12,128 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((((a[17] * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_19.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_19.hpp index a3049354ca..9ea87fd93b 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_19.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_19.hpp @@ -12,135 +12,135 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((((a[17] * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((((a[18] * x2 + a[16]) * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((((a[17] * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_2.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_2.hpp index 8b3a7dcd83..1982a81f3f 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_2.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_2.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_20.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_20.hpp index a4ccc93b3e..23afe55e05 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_20.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_20.hpp @@ -12,142 +12,142 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((a[9] * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((a[10] * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((a[11] * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((a[12] * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((a[13] * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((a[14] * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((((((a[15] * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((((a[17] * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + (((((((a[16] * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((((((((a[18] * x2 + a[16]) * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((((((((a[17] * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 20>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 20>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((((((((a[19] * x2 + a[17]) * x2 + a[15]) * x2 + a[13]) * x2 + a[11]) * x2 + a[9]) * x2 + a[7]) * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((((((((a[18] * x2 + a[16]) * x2 + a[14]) * x2 + a[12]) * x2 + a[10]) * x2 + a[8]) * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_3.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_3.hpp index d0b988cf81..f9d6953b82 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_3.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_3.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_4.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_4.hpp index 7f0708680c..8f11de5b31 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_4.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_4.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_5.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_5.hpp index f4e7b809b0..eba9ee9e6d 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_5.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_5.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_6.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_6.hpp index 764e522505..ef77c6255b 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_6.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_6.hpp @@ -12,44 +12,44 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_7.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_7.hpp index 50fb3333cb..fe8d21b95f 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_7.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_7.hpp @@ -12,51 +12,51 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_8.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_8.hpp index c74b19d435..de1810a940 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_8.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_8.hpp @@ -12,58 +12,58 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_9.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_9.hpp index 7d6e7e421f..5c53b73299 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_9.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner2_9.hpp @@ -12,65 +12,65 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((a[4] * x2 + a[2]) * x2 + a[0] + (a[3] * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[5] * x2 + a[3]) * x2 + a[1]) * x + (a[4] * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>(((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + ((a[5] * x2 + a[3]) * x2 + a[1]) * x); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x + ((a[6] * x2 + a[4]) * x2 + a[2]) * x2 + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; return static_cast<V>((((a[8] * x2 + a[6]) * x2 + a[4]) * x2 + a[2]) * x2 + a[0] + (((a[7] * x2 + a[5]) * x2 + a[3]) * x2 + a[1]) * x); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_10.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_10.hpp index b980b1b3d2..7fb5bb4745 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_10.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_10.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -106,7 +106,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -127,7 +127,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_11.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_11.hpp index 2ab4b2ac3a..9f22820dea 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_11.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_11.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -106,7 +106,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -127,7 +127,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -150,7 +150,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_12.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_12.hpp index 4606427277..b049613766 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_12.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_12.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -106,7 +106,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -127,7 +127,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -150,7 +150,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -175,7 +175,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_13.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_13.hpp index d35fa904f2..f39a33cc90 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_13.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_13.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -106,7 +106,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -127,7 +127,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -150,7 +150,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -175,7 +175,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -202,7 +202,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_14.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_14.hpp index 346b9dc28e..32b9e7db29 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_14.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_14.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -106,7 +106,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -127,7 +127,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -150,7 +150,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -175,7 +175,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -202,7 +202,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -231,7 +231,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_15.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_15.hpp index 500bc32317..55325c84b9 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_15.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_15.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -106,7 +106,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -127,7 +127,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -150,7 +150,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -175,7 +175,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -202,7 +202,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -231,7 +231,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -262,7 +262,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_16.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_16.hpp index 269f367390..f71d62f50c 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_16.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_16.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -106,7 +106,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -127,7 +127,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -150,7 +150,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -175,7 +175,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -202,7 +202,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -231,7 +231,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -262,7 +262,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -295,7 +295,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_17.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_17.hpp index 1d97a6f154..783a34558c 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_17.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_17.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -106,7 +106,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -127,7 +127,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -150,7 +150,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -175,7 +175,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -202,7 +202,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -231,7 +231,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -262,7 +262,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -295,7 +295,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -330,7 +330,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_18.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_18.hpp index 80e49cbb12..b10b270c41 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_18.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_18.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -106,7 +106,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -127,7 +127,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -150,7 +150,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -175,7 +175,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -202,7 +202,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -231,7 +231,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -262,7 +262,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -295,7 +295,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -330,7 +330,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -367,7 +367,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_19.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_19.hpp index eae3775e06..21147591c8 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_19.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_19.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -106,7 +106,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -127,7 +127,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -150,7 +150,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -175,7 +175,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -202,7 +202,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -231,7 +231,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -262,7 +262,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -295,7 +295,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -330,7 +330,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -367,7 +367,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -406,7 +406,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_2.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_2.hpp index 6281674205..ee3e35e6ca 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_2.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_2.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_20.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_20.hpp index 00f8caae2a..338aeb7dbc 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_20.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_20.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -106,7 +106,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -127,7 +127,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -150,7 +150,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -175,7 +175,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -202,7 +202,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -231,7 +231,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -262,7 +262,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -295,7 +295,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -330,7 +330,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -367,7 +367,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -406,7 +406,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -447,7 +447,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 20>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 20>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_3.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_3.hpp index 8f69c2bfef..1eee0cfac0 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_3.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_3.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_4.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_4.hpp index 34db812343..efa7fba485 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_4.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_4.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_5.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_5.hpp index ed955e4a70..f150e2a4a4 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_5.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_5.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_6.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_6.hpp index 96d9a6ddad..fe679e74d2 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_6.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_6.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_7.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_7.hpp index 80a9f3af4a..76f080ad9c 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_7.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_7.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_8.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_8.hpp index ee526ad736..75634bdfc6 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_8.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_8.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_9.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_9.hpp index a17ce909c7..63a40580d1 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_9.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/polynomial_horner3_9.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class V> -inline V evaluate_polynomial_c_imp(const T*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[1] * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[2] * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[3] * x + a[2]) * x + a[1]) * x + a[0]); } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -55,7 +55,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -70,7 +70,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -87,7 +87,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; @@ -106,7 +106,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_c } template <class T, class V> -inline V evaluate_polynomial_c_imp(const T* a, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { V x2 = x * x; V t[2]; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_10.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_10.hpp index 6a04128ca6..e2f6c6d2fb 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_10.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_10.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -120,7 +120,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_11.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_11.hpp index d43e53433f..31d480a65a 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_11.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_11.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -120,7 +120,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -132,7 +132,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_12.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_12.hpp index 33d19eb380..c08a85b3a6 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_12.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_12.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -120,7 +120,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -132,7 +132,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -144,7 +144,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_13.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_13.hpp index 2069aa5150..cc87ec2dc7 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_13.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_13.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -120,7 +120,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -132,7 +132,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -144,7 +144,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_14.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_14.hpp index 5ebcde6260..256473710f 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_14.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_14.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -120,7 +120,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -132,7 +132,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -144,7 +144,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -168,7 +168,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_15.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_15.hpp index 9da8e1b711..2ab24814e7 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_15.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_15.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -120,7 +120,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -132,7 +132,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -144,7 +144,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -168,7 +168,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((b[14] * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_16.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_16.hpp index 203ba78196..dce0b5e9b1 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_16.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_16.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -120,7 +120,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -132,7 +132,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -144,7 +144,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -168,7 +168,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((b[14] * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -192,7 +192,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((b[15] * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_17.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_17.hpp index e382d2931a..8e875d6576 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_17.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_17.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -120,7 +120,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -132,7 +132,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -144,7 +144,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -168,7 +168,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((b[14] * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -192,7 +192,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((b[15] * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -204,7 +204,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((((((a[16] * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((((b[16] * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_18.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_18.hpp index 66f668ee35..ab67a970b0 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_18.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_18.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -120,7 +120,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -132,7 +132,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -144,7 +144,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -168,7 +168,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((b[14] * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -192,7 +192,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((b[15] * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -204,7 +204,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((((((a[16] * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((((b[16] * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -216,7 +216,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((((((a[17] * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((((b[17] * x + b[16]) * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_19.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_19.hpp index 9cd1391434..dc300343a5 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_19.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_19.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -120,7 +120,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -132,7 +132,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -144,7 +144,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -168,7 +168,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((b[14] * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -192,7 +192,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((b[15] * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -204,7 +204,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((((((a[16] * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((((b[16] * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -216,7 +216,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((((((a[17] * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((((b[17] * x + b[16]) * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -228,7 +228,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((((((((a[18] * x + a[17]) * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((((((b[18] * x + b[17]) * x + b[16]) * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_2.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_2.hpp index f42cbfc645..c6b1ef9ef9 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_2.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_2.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_20.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_20.hpp index 0a6c2a0f26..5b8b170c15 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_20.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_20.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -120,7 +120,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((a[9] * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((b[9] * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -132,7 +132,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((a[10] * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((b[10] * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -144,7 +144,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((a[11] * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((b[11] * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -156,7 +156,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((a[12] * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((b[12] * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -168,7 +168,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((a[13] * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((b[13] * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((((a[14] * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((b[14] * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -192,7 +192,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((((a[15] * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((b[15] * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -204,7 +204,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((((((a[16] * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((((b[16] * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -216,7 +216,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((((((a[17] * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((((b[17] * x + b[16]) * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -228,7 +228,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((((((((((((a[18] * x + a[17]) * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((((((((((((b[18] * x + b[17]) * x + b[16]) * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -240,7 +240,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 20>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 20>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((((((((((((((a[19] * x + a[18]) * x + a[17]) * x + a[16]) * x + a[15]) * x + a[14]) * x + a[13]) * x + a[12]) * x + a[11]) * x + a[10]) * x + a[9]) * x + a[8]) * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((((((((((((((b[19] * x + b[18]) * x + b[17]) * x + b[16]) * x + b[15]) * x + b[14]) * x + b[13]) * x + b[12]) * x + b[11]) * x + b[10]) * x + b[9]) * x + b[8]) * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_3.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_3.hpp index d0ab213b3c..6933e22bf1 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_3.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_3.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_4.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_4.hpp index 44f40114a1..49b9835778 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_4.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_4.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_5.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_5.hpp index db032f15e1..91e97ff445 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_5.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_5.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_6.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_6.hpp index 4de5143ca9..876b026cde 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_6.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_6.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_7.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_7.hpp index 7d4ef69e9a..bcac18293c 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_7.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_7.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_8.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_8.hpp index bf4d7f57e3..55e30a53e8 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_8.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_8.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_9.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_9.hpp index cf3be7f824..c7087de508 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_9.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner1_9.hpp @@ -12,19 +12,19 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); @@ -36,7 +36,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); @@ -48,7 +48,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); @@ -60,7 +60,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((a[4] * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((b[4] * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -72,7 +72,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((a[5] * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((b[5] * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -84,7 +84,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((a[6] * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((b[6] * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -96,7 +96,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>((((((((a[7] * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / (((((((b[7] * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); @@ -108,7 +108,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) return static_cast<V>(((((((((a[8] * x + a[7]) * x + a[6]) * x + a[5]) * x + a[4]) * x + a[3]) * x + a[2]) * x + a[1]) * x + a[0]) / ((((((((b[8] * x + b[7]) * x + b[6]) * x + b[5]) * x + b[4]) * x + b[3]) * x + b[2]) * x + b[1]) * x + b[0])); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_10.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_10.hpp index 1a59aa334c..4d74a714d5 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_10.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_10.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -106,7 +106,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_11.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_11.hpp index 1333a40bc8..15f1cf2556 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_11.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_11.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -106,7 +106,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -138,7 +138,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_12.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_12.hpp index a37cf5a05f..24e9d9e7f7 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_12.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_12.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -106,7 +106,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -138,7 +138,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -154,7 +154,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_13.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_13.hpp index 648f3079c5..495f88525d 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_13.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_13.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -106,7 +106,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -138,7 +138,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -154,7 +154,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_14.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_14.hpp index 7771c3da91..273e723b6c 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_14.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_14.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -106,7 +106,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -138,7 +138,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -154,7 +154,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -186,7 +186,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_15.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_15.hpp index 03fae0d947..c7e24ec7db 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_15.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_15.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -106,7 +106,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -138,7 +138,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -154,7 +154,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -186,7 +186,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -202,7 +202,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_16.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_16.hpp index d8565e104b..2eebd702bc 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_16.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_16.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -106,7 +106,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -138,7 +138,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -154,7 +154,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -186,7 +186,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -202,7 +202,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -218,7 +218,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_17.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_17.hpp index bd8990e0c2..1fee63047f 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_17.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_17.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -106,7 +106,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -138,7 +138,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -154,7 +154,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -186,7 +186,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -202,7 +202,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -218,7 +218,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -234,7 +234,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_18.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_18.hpp index 38b99ecf17..7aedbf2aad 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_18.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_18.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -106,7 +106,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -138,7 +138,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -154,7 +154,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -186,7 +186,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -202,7 +202,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -218,7 +218,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -234,7 +234,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -250,7 +250,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_19.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_19.hpp index b77d2eb0b9..1c36a267cb 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_19.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_19.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -106,7 +106,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -138,7 +138,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -154,7 +154,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -186,7 +186,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -202,7 +202,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -218,7 +218,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -234,7 +234,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -250,7 +250,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -266,7 +266,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_2.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_2.hpp index 9c4fe47a74..bb2e2c4dcf 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_2.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_2.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_20.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_20.hpp index 485639dcef..a591b901c9 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_20.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_20.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -106,7 +106,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -122,7 +122,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -138,7 +138,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -154,7 +154,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -170,7 +170,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -186,7 +186,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -202,7 +202,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -218,7 +218,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -234,7 +234,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -250,7 +250,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -266,7 +266,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -282,7 +282,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 20>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 20>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_3.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_3.hpp index d19993cce1..0b410d8bbe 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_3.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_3.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_4.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_4.hpp index 847f26dc4e..07a9a2c5ad 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_4.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_4.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_5.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_5.hpp index 8633d5dc13..0933ddfbc4 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_5.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_5.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_6.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_6.hpp index 4555426334..dee9c6e168 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_6.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_6.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_7.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_7.hpp index 6a5c704d1c..6f9a85838c 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_7.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_7.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_8.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_8.hpp index 9ec861fc5f..33dda23bba 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_8.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_8.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_9.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_9.hpp index c76755cb22..a9025a8900 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_9.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner2_9.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -58,7 +58,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -74,7 +74,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -90,7 +90,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -106,7 +106,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_10.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_10.hpp index 773532cd55..b7cec124e2 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_10.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_10.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -312,7 +312,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_11.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_11.hpp index a712fff090..579f0e4868 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_11.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_11.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -312,7 +312,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -390,7 +390,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_12.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_12.hpp index 5b87374abf..54300dd08e 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_12.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_12.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -312,7 +312,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -390,7 +390,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -476,7 +476,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_13.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_13.hpp index 11591668b8..d2fc7b6331 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_13.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_13.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -312,7 +312,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -390,7 +390,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -476,7 +476,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -570,7 +570,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_14.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_14.hpp index 04f31249d4..0b7675f494 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_14.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_14.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -312,7 +312,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -390,7 +390,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -476,7 +476,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -570,7 +570,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -672,7 +672,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_15.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_15.hpp index 4b9cffd48a..8286caed0b 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_15.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_15.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -312,7 +312,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -390,7 +390,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -476,7 +476,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -570,7 +570,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -672,7 +672,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -782,7 +782,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_16.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_16.hpp index 3a384dcc5f..fc823e4162 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_16.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_16.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -312,7 +312,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -390,7 +390,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -476,7 +476,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -570,7 +570,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -672,7 +672,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -782,7 +782,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -900,7 +900,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_17.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_17.hpp index 1c9435e74a..cf7f75a706 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_17.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_17.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -312,7 +312,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -390,7 +390,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -476,7 +476,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -570,7 +570,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -672,7 +672,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -782,7 +782,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -900,7 +900,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -1026,7 +1026,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_18.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_18.hpp index b133e2bafc..f853ed3e0c 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_18.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_18.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -312,7 +312,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -390,7 +390,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -476,7 +476,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -570,7 +570,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -672,7 +672,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -782,7 +782,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -900,7 +900,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -1026,7 +1026,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -1160,7 +1160,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_19.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_19.hpp index ca35d3b68f..d44e22c90b 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_19.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_19.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -312,7 +312,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -390,7 +390,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -476,7 +476,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -570,7 +570,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -672,7 +672,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -782,7 +782,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -900,7 +900,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -1026,7 +1026,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -1160,7 +1160,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -1302,7 +1302,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_2.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_2.hpp index 9c4fe47a74..bb2e2c4dcf 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_2.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_2.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_20.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_20.hpp index 58109ac305..967edf0832 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_20.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_20.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -312,7 +312,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 10>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -390,7 +390,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 11>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -476,7 +476,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 12>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -570,7 +570,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 13>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -672,7 +672,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 14>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -782,7 +782,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 15>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -900,7 +900,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 16>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -1026,7 +1026,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 17>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -1160,7 +1160,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 18>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -1302,7 +1302,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 19>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -1452,7 +1452,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 20>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 20>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_3.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_3.hpp index d19993cce1..0b410d8bbe 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_3.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_3.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_4.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_4.hpp index 847f26dc4e..07a9a2c5ad 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_4.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_4.hpp @@ -12,31 +12,31 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_5.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_5.hpp index cc77fd560c..62c76dd506 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_5.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_5.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_6.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_6.hpp index 73920ad018..f81a068acb 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_6.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_6.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_7.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_7.hpp index 8e30ecf310..fea457ccf8 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_7.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_7.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_8.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_8.hpp index a8f93f3a3e..306e2a41d9 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_8.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_8.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_9.hpp b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_9.hpp index 064d984d3f..93a3527c18 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_9.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/detail/rational_horner3_9.hpp @@ -12,37 +12,37 @@ namespace boost{ namespace math{ namespace tools{ namespace detail{ template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T*, const U*, const V&, const std::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T*, const U*, const V&, const boost::math::integral_constant<int, 0>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(0); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const std::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V&, const boost::math::integral_constant<int, 1>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(a[0]) / static_cast<V>(b[0]); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 2>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((a[1] * x + a[0]) / (b[1] * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 3>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>(((a[2] * x + a[1]) * x + a[0]) / ((b[2] * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 4>*) BOOST_MATH_NOEXCEPT(V) { return static_cast<V>((((a[3] * x + a[2]) * x + a[1]) * x + a[0]) / (((b[3] * x + b[2]) * x + b[1]) * x + b[0])); } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 5>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -80,7 +80,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 6>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -126,7 +126,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 7>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -180,7 +180,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 8>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { @@ -242,7 +242,7 @@ inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std:: } template <class T, class U, class V> -inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const std::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* a, const U* b, const V& x, const boost::math::integral_constant<int, 9>*) BOOST_MATH_NOEXCEPT(V) { if((-1 <= x) && (x <= 1)) { diff --git a/contrib/restricted/boost/math/include/boost/math/tools/fraction.hpp b/contrib/restricted/boost/math/include/boost/math/tools/fraction.hpp index a64c070258..f36d024c40 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/fraction.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/fraction.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2005-2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,11 +11,13 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/tuple.hpp> #include <boost/math/tools/precision.hpp> #include <boost/math/tools/complex.hpp> -#include <type_traits> -#include <cstdint> -#include <cmath> +#include <boost/math/tools/cstdint.hpp> namespace boost{ namespace math{ namespace tools{ @@ -22,10 +25,10 @@ namespace detail { template <typename T> - struct is_pair : public std::false_type{}; + struct is_pair : public boost::math::false_type{}; template <typename T, typename U> - struct is_pair<std::pair<T,U>> : public std::true_type{}; + struct is_pair<boost::math::pair<T,U>> : public boost::math::true_type{}; template <typename Gen> struct fraction_traits_simple @@ -33,11 +36,11 @@ namespace detail using result_type = typename Gen::result_type; using value_type = typename Gen::result_type; - static result_type a(const value_type&) BOOST_MATH_NOEXCEPT(value_type) + BOOST_MATH_GPU_ENABLED static result_type a(const value_type&) BOOST_MATH_NOEXCEPT(value_type) { return 1; } - static result_type b(const value_type& v) BOOST_MATH_NOEXCEPT(value_type) + BOOST_MATH_GPU_ENABLED static result_type b(const value_type& v) BOOST_MATH_NOEXCEPT(value_type) { return v; } @@ -49,11 +52,11 @@ namespace detail using value_type = typename Gen::result_type; using result_type = typename value_type::first_type; - static result_type a(const value_type& v) BOOST_MATH_NOEXCEPT(value_type) + BOOST_MATH_GPU_ENABLED static result_type a(const value_type& v) BOOST_MATH_NOEXCEPT(value_type) { return v.first; } - static result_type b(const value_type& v) BOOST_MATH_NOEXCEPT(value_type) + BOOST_MATH_GPU_ENABLED static result_type b(const value_type& v) BOOST_MATH_NOEXCEPT(value_type) { return v.second; } @@ -61,7 +64,7 @@ namespace detail template <typename Gen> struct fraction_traits - : public std::conditional< + : public boost::math::conditional< is_pair<typename Gen::result_type>::value, fraction_traits_pair<Gen>, fraction_traits_simple<Gen>>::type @@ -74,7 +77,7 @@ namespace detail // For float, double, and long double, 1/min_value<T>() is finite. // But for mpfr_float and cpp_bin_float, 1/min_value<T>() is inf. // Multiply the min by 16 so that the reciprocal doesn't overflow. - static T get() { + BOOST_MATH_GPU_ENABLED static T get() { return 16*tools::min_value<T>(); } }; @@ -82,13 +85,15 @@ namespace detail struct tiny_value<T, true> { using value_type = typename T::value_type; - static T get() { + BOOST_MATH_GPU_ENABLED static T get() { return 16*tools::min_value<value_type>(); } }; } // namespace detail +namespace detail { + // // continued_fraction_b // Evaluates: @@ -103,9 +108,15 @@ namespace detail // // Note that the first a0 returned by generator Gen is discarded. // + template <typename Gen, typename U> -inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(Gen& g, const U& factor, std::uintmax_t& max_terms) - noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) && noexcept(std::declval<Gen>()())) +BOOST_MATH_GPU_ENABLED inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b_impl(Gen& g, const U& factor, boost::math::uintmax_t& max_terms) + noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + // SYCL can not handle this condition so we only check float on that platform + && noexcept(std::declval<Gen>()()) + #endif + ) { BOOST_MATH_STD_USING // ADL of std names @@ -129,7 +140,7 @@ inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(G C = f; D = 0; - std::uintmax_t counter(max_terms); + boost::math::uintmax_t counter(max_terms); do{ v = g(); D = traits::b(v) + traits::a(v) * D; @@ -148,17 +159,38 @@ inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(G return f; } +} // namespace detail + +template <typename Gen, typename U> +BOOST_MATH_GPU_ENABLED inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(Gen& g, const U& factor, boost::math::uintmax_t& max_terms) + noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + && noexcept(std::declval<Gen>()()) + #endif + ) +{ + return detail::continued_fraction_b_impl(g, factor, max_terms); +} + template <typename Gen, typename U> -inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(Gen& g, const U& factor) - noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) && noexcept(std::declval<Gen>()())) +BOOST_MATH_GPU_ENABLED inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(Gen& g, const U& factor) + noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + && noexcept(std::declval<Gen>()()) + #endif + ) { - std::uintmax_t max_terms = (std::numeric_limits<std::uintmax_t>::max)(); - return continued_fraction_b(g, factor, max_terms); + boost::math::uintmax_t max_terms = (boost::math::numeric_limits<boost::math::uintmax_t>::max)(); + return detail::continued_fraction_b_impl(g, factor, max_terms); } template <typename Gen> -inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(Gen& g, int bits) - noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) && noexcept(std::declval<Gen>()())) +BOOST_MATH_GPU_ENABLED inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(Gen& g, int bits) + noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + && noexcept(std::declval<Gen>()()) + #endif + ) { BOOST_MATH_STD_USING // ADL of std names @@ -166,13 +198,17 @@ inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(G using result_type = typename traits::result_type; result_type factor = ldexp(1.0f, 1 - bits); // 1 / pow(result_type(2), bits); - std::uintmax_t max_terms = (std::numeric_limits<std::uintmax_t>::max)(); - return continued_fraction_b(g, factor, max_terms); + boost::math::uintmax_t max_terms = (boost::math::numeric_limits<boost::math::uintmax_t>::max)(); + return detail::continued_fraction_b_impl(g, factor, max_terms); } template <typename Gen> -inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(Gen& g, int bits, std::uintmax_t& max_terms) - noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) && noexcept(std::declval<Gen>()())) +BOOST_MATH_GPU_ENABLED inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(Gen& g, int bits, boost::math::uintmax_t& max_terms) + noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + && noexcept(std::declval<Gen>()()) + #endif + ) { BOOST_MATH_STD_USING // ADL of std names @@ -180,9 +216,11 @@ inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(G using result_type = typename traits::result_type; result_type factor = ldexp(1.0f, 1 - bits); // 1 / pow(result_type(2), bits); - return continued_fraction_b(g, factor, max_terms); + return detail::continued_fraction_b_impl(g, factor, max_terms); } +namespace detail { + // // continued_fraction_a // Evaluates: @@ -198,8 +236,12 @@ inline typename detail::fraction_traits<Gen>::result_type continued_fraction_b(G // Note that the first a1 and b1 returned by generator Gen are both used. // template <typename Gen, typename U> -inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a(Gen& g, const U& factor, std::uintmax_t& max_terms) - noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) && noexcept(std::declval<Gen>()())) +BOOST_MATH_GPU_ENABLED inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a_impl(Gen& g, const U& factor, boost::math::uintmax_t& max_terms) + noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + && noexcept(std::declval<Gen>()()) + #endif + ) { BOOST_MATH_STD_USING // ADL of std names @@ -224,7 +266,7 @@ inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a(G C = f; D = 0; - std::uintmax_t counter(max_terms); + boost::math::uintmax_t counter(max_terms); do{ v = g(); @@ -244,17 +286,38 @@ inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a(G return a0/f; } +} // namespace detail + +template <typename Gen, typename U> +BOOST_MATH_GPU_ENABLED inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a(Gen& g, const U& factor, boost::math::uintmax_t& max_terms) + noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + && noexcept(std::declval<Gen>()()) + #endif + ) +{ + return detail::continued_fraction_a_impl(g, factor, max_terms); +} + template <typename Gen, typename U> -inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a(Gen& g, const U& factor) - noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) && noexcept(std::declval<Gen>()())) +BOOST_MATH_GPU_ENABLED inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a(Gen& g, const U& factor) + noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + && noexcept(std::declval<Gen>()()) + #endif + ) { - std::uintmax_t max_iter = (std::numeric_limits<std::uintmax_t>::max)(); - return continued_fraction_a(g, factor, max_iter); + boost::math::uintmax_t max_iter = (boost::math::numeric_limits<boost::math::uintmax_t>::max)(); + return detail::continued_fraction_a_impl(g, factor, max_iter); } template <typename Gen> -inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a(Gen& g, int bits) - noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) && noexcept(std::declval<Gen>()())) +BOOST_MATH_GPU_ENABLED inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a(Gen& g, int bits) + noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + && noexcept(std::declval<Gen>()()) + #endif + ) { BOOST_MATH_STD_USING // ADL of std names @@ -262,14 +325,18 @@ inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a(G typedef typename traits::result_type result_type; result_type factor = ldexp(1.0f, 1-bits); // 1 / pow(result_type(2), bits); - std::uintmax_t max_iter = (std::numeric_limits<std::uintmax_t>::max)(); + boost::math::uintmax_t max_iter = (boost::math::numeric_limits<boost::math::uintmax_t>::max)(); - return continued_fraction_a(g, factor, max_iter); + return detail::continued_fraction_a_impl(g, factor, max_iter); } template <typename Gen> -inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a(Gen& g, int bits, std::uintmax_t& max_terms) - noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) && noexcept(std::declval<Gen>()())) +BOOST_MATH_GPU_ENABLED inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a(Gen& g, int bits, boost::math::uintmax_t& max_terms) + noexcept(BOOST_MATH_IS_FLOAT(typename detail::fraction_traits<Gen>::result_type) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + && noexcept(std::declval<Gen>()()) + #endif + ) { BOOST_MATH_STD_USING // ADL of std names @@ -277,7 +344,7 @@ inline typename detail::fraction_traits<Gen>::result_type continued_fraction_a(G using result_type = typename traits::result_type; result_type factor = ldexp(1.0f, 1-bits); // 1 / pow(result_type(2), bits); - return continued_fraction_a(g, factor, max_terms); + return detail::continued_fraction_a_impl(g, factor, max_terms); } } // namespace tools diff --git a/contrib/restricted/boost/math/include/boost/math/tools/is_detected.hpp b/contrib/restricted/boost/math/include/boost/math/tools/is_detected.hpp index 8dfe86b740..93fa96f60b 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/is_detected.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/is_detected.hpp @@ -8,7 +8,7 @@ #ifndef BOOST_MATH_TOOLS_IS_DETECTED_HPP #define BOOST_MATH_TOOLS_IS_DETECTED_HPP -#include <type_traits> +#include <boost/math/tools/type_traits.hpp> namespace boost { namespace math { namespace tools { @@ -20,14 +20,14 @@ namespace detail { template <typename Default, typename AlwaysVoid, template<typename...> class Op, typename... Args> struct detector { - using value_t = std::false_type; + using value_t = boost::math::false_type; using type = Default; }; template <typename Default, template<typename...> class Op, typename... Args> struct detector<Default, void_t<Op<Args...>>, Op, Args...> { - using value_t = std::true_type; + using value_t = boost::math::true_type; using type = Op<Args...>; }; diff --git a/contrib/restricted/boost/math/include/boost/math/tools/minima.hpp b/contrib/restricted/boost/math/include/boost/math/tools/minima.hpp index 6070fc5307..a6be94cb2b 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/minima.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/minima.hpp @@ -11,20 +11,26 @@ #pragma once #endif -#include <cstdint> -#include <cmath> -#include <utility> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/tools/precision.hpp> +#include <boost/math/tools/utility.hpp> #include <boost/math/policies/policy.hpp> namespace boost{ namespace math{ namespace tools{ template <class F, class T> -std::pair<T, T> brent_find_minima(F f, T min, T max, int bits, std::uintmax_t& max_iter) - noexcept(BOOST_MATH_IS_FLOAT(T) && noexcept(std::declval<F>()(std::declval<T>()))) +BOOST_MATH_GPU_ENABLED boost::math::pair<T, T> brent_find_minima(F f, T min, T max, int bits, boost::math::uintmax_t& max_iter) + noexcept(BOOST_MATH_IS_FLOAT(T) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + && noexcept(std::declval<F>()(std::declval<T>())) + #endif + ) { BOOST_MATH_STD_USING - bits = (std::min)(policies::digits<T, policies::policy<> >() / 2, bits); + bits = (boost::math::min)(policies::digits<T, policies::policy<> >() / 2, bits); T tolerance = static_cast<T>(ldexp(1.0, 1-bits)); T x; // minima so far T w; // second best point @@ -42,7 +48,7 @@ std::pair<T, T> brent_find_minima(F f, T min, T max, int bits, std::uintmax_t& m fw = fv = fx = f(x); delta2 = delta = 0; - uintmax_t count = max_iter; + boost::math::uintmax_t count = max_iter; do{ // get midpoint @@ -134,14 +140,18 @@ std::pair<T, T> brent_find_minima(F f, T min, T max, int bits, std::uintmax_t& m max_iter -= count; - return std::make_pair(x, fx); + return boost::math::make_pair(x, fx); } template <class F, class T> -inline std::pair<T, T> brent_find_minima(F f, T min, T max, int digits) - noexcept(BOOST_MATH_IS_FLOAT(T) && noexcept(std::declval<F>()(std::declval<T>()))) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<T, T> brent_find_minima(F f, T min, T max, int digits) + noexcept(BOOST_MATH_IS_FLOAT(T) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + && noexcept(std::declval<F>()(std::declval<T>())) + #endif + ) { - std::uintmax_t m = (std::numeric_limits<std::uintmax_t>::max)(); + boost::math::uintmax_t m = (boost::math::numeric_limits<boost::math::uintmax_t>::max)(); return brent_find_minima(f, min, max, digits, m); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/mp.hpp b/contrib/restricted/boost/math/include/boost/math/tools/mp.hpp index 55aac1b092..560ae8b500 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/mp.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/mp.hpp @@ -11,9 +11,9 @@ #ifndef BOOST_MATH_TOOLS_MP #define BOOST_MATH_TOOLS_MP -#include <type_traits> -#include <cstddef> -#include <utility> +#include <boost/math/tools/config.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/cstdint.hpp> namespace boost { namespace math { namespace tools { namespace meta_programming { @@ -23,12 +23,12 @@ template<typename... T> struct mp_list {}; // Size_t -template<std::size_t N> -using mp_size_t = std::integral_constant<std::size_t, N>; +template<boost::math::size_t N> +using mp_size_t = boost::math::integral_constant<boost::math::size_t, N>; // Boolean template<bool B> -using mp_bool = std::integral_constant<bool, B>; +using mp_bool = boost::math::integral_constant<bool, B>; // Identity template<typename T> @@ -53,7 +53,7 @@ struct mp_size_impl {}; template<template<typename...> class L, typename... T> // Template template parameter must use class struct mp_size_impl<L<T...>> { - using type = std::integral_constant<std::size_t, sizeof...(T)>; + using type = boost::math::integral_constant<boost::math::size_t, sizeof...(T)>; }; } @@ -79,7 +79,7 @@ namespace detail { // At // TODO - Use tree based lookup for larger typelists // http://odinthenerd.blogspot.com/2017/04/tree-based-lookup-why-kvasirmpl-is.html -template<typename L, std::size_t> +template<typename L, boost::math::size_t> struct mp_at_c {}; template<template<typename...> class L, typename T0, typename... T> @@ -168,7 +168,7 @@ struct mp_at_c<L<T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T...>, 1 }; } -template<typename L, std::size_t Index> +template<typename L, boost::math::size_t Index> using mp_at_c = typename detail::mp_at_c<L, Index>::type; template<typename L, typename Index> @@ -336,25 +336,11 @@ using mp_remove_if = typename detail::mp_remove_if_impl<L, P>::type; template<typename L, typename Q> using mp_remove_if_q = mp_remove_if<L, Q::template fn>; -// Index sequence -// Use C++14 index sequence if available -#if defined(__cpp_lib_integer_sequence) && (__cpp_lib_integer_sequence >= 201304) -template<std::size_t... Index> -using index_sequence = std::index_sequence<Index...>; - -template<std::size_t N> -using make_index_sequence = std::make_index_sequence<N>; - -template<typename... T> -using index_sequence_for = std::index_sequence_for<T...>; - -#else - template<typename T, T... Index> struct integer_sequence {}; -template<std::size_t... Index> -using index_sequence = integer_sequence<std::size_t, Index...>; +template<boost::math::size_t... Index> +using index_sequence = integer_sequence<boost::math::size_t, Index...>; namespace detail { @@ -426,13 +412,11 @@ struct make_integer_sequence_impl template<typename T, T N> using make_integer_sequence = typename detail::make_integer_sequence_impl<T, N>::type; -template<std::size_t N> -using make_index_sequence = make_integer_sequence<std::size_t, N>; +template<boost::math::size_t N> +using make_index_sequence = make_integer_sequence<boost::math::size_t, N>; template<typename... T> -using index_sequence_for = make_integer_sequence<std::size_t, sizeof...(T)>; - -#endif +using index_sequence_for = make_integer_sequence<boost::math::size_t, sizeof...(T)>; }}}} // namespaces diff --git a/contrib/restricted/boost/math/include/boost/math/tools/numeric_limits.hpp b/contrib/restricted/boost/math/include/boost/math/tools/numeric_limits.hpp new file mode 100644 index 0000000000..87a7802363 --- /dev/null +++ b/contrib/restricted/boost/math/include/boost/math/tools/numeric_limits.hpp @@ -0,0 +1,888 @@ +// Copyright (c) 2024 Matt Borland +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file +// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) +// +// Regular use of std::numeric_limits functions can not be used on +// GPU platforms like CUDA since they are missing the __device__ marker +// and libcu++ does not provide something analogous. +// Rather than using giant if else blocks make our own version of numeric limits +// +// On the CUDA NVRTC platform we use a best attempt at emulating the functions +// and values since we do not have any macros to go off of. +// Use the values as found on GCC 11.4 RHEL 9.4 x64 + +#ifndef BOOST_MATH_TOOLS_NUMERIC_LIMITS_HPP +#define BOOST_MATH_TOOLS_NUMERIC_LIMITS_HPP + +#include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC + +#include <type_traits> +#include <limits> +#include <climits> +#include <cfloat> + +#endif + +namespace boost { +namespace math { + +template <typename T> +struct numeric_limits +#ifndef BOOST_MATH_HAS_NVRTC +: public std::numeric_limits<T> {}; +#else +{}; +#endif + +#if defined(BOOST_MATH_HAS_GPU_SUPPORT) && !defined(BOOST_MATH_HAS_NVRTC) + +template <> +struct numeric_limits<float> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = std::numeric_limits<float>::is_specialized; + BOOST_MATH_STATIC constexpr bool is_signed = std::numeric_limits<float>::is_signed; + BOOST_MATH_STATIC constexpr bool is_integer = std::numeric_limits<float>::is_integer; + BOOST_MATH_STATIC constexpr bool is_exact = std::numeric_limits<float>::is_exact; + BOOST_MATH_STATIC constexpr bool has_infinity = std::numeric_limits<float>::has_infinity; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = std::numeric_limits<float>::has_quiet_NaN; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = std::numeric_limits<float>::has_signaling_NaN; + + BOOST_MATH_STATIC constexpr std::float_round_style round_style = std::numeric_limits<float>::round_style; + BOOST_MATH_STATIC constexpr bool is_iec559 = std::numeric_limits<float>::is_iec559; + BOOST_MATH_STATIC constexpr bool is_bounded = std::numeric_limits<float>::is_bounded; + BOOST_MATH_STATIC constexpr bool is_modulo = std::numeric_limits<float>::is_modulo; + BOOST_MATH_STATIC constexpr int digits = std::numeric_limits<float>::digits; + BOOST_MATH_STATIC constexpr int digits10 = std::numeric_limits<float>::digits10; + BOOST_MATH_STATIC constexpr int max_digits10 = std::numeric_limits<float>::max_digits10; + BOOST_MATH_STATIC constexpr int radix = std::numeric_limits<float>::radix; + BOOST_MATH_STATIC constexpr int min_exponent = std::numeric_limits<float>::min_exponent; + BOOST_MATH_STATIC constexpr int min_exponent10 = std::numeric_limits<float>::min_exponent10; + BOOST_MATH_STATIC constexpr int max_exponent = std::numeric_limits<float>::max_exponent; + BOOST_MATH_STATIC constexpr int max_exponent10 = std::numeric_limits<float>::max_exponent10; + BOOST_MATH_STATIC constexpr bool traps = std::numeric_limits<float>::traps; + BOOST_MATH_STATIC constexpr bool tinyness_before = std::numeric_limits<float>::tinyness_before; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float (min) () { return FLT_MIN; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float (max) () { return FLT_MAX; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float lowest () { return -FLT_MAX; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float epsilon () { return FLT_EPSILON; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float round_error () { return 0.5F; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float infinity () { return static_cast<float>(INFINITY); } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float quiet_NaN () { return static_cast<float>(NAN); } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float signaling_NaN () + { + #ifdef FLT_SNAN + return FLT_SNAN; + #else + return static_cast<float>(NAN); + #endif + } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float denorm_min () { return FLT_TRUE_MIN; } +}; + +template <> +struct numeric_limits<double> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = std::numeric_limits<double>::is_specialized; + BOOST_MATH_STATIC constexpr bool is_signed = std::numeric_limits<double>::is_signed; + BOOST_MATH_STATIC constexpr bool is_integer = std::numeric_limits<double>::is_integer; + BOOST_MATH_STATIC constexpr bool is_exact = std::numeric_limits<double>::is_exact; + BOOST_MATH_STATIC constexpr bool has_infinity = std::numeric_limits<double>::has_infinity; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = std::numeric_limits<double>::has_quiet_NaN; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = std::numeric_limits<double>::has_signaling_NaN; + + BOOST_MATH_STATIC constexpr std::float_round_style round_style = std::numeric_limits<double>::round_style; + BOOST_MATH_STATIC constexpr bool is_iec559 = std::numeric_limits<double>::is_iec559; + BOOST_MATH_STATIC constexpr bool is_bounded = std::numeric_limits<double>::is_bounded; + BOOST_MATH_STATIC constexpr bool is_modulo = std::numeric_limits<double>::is_modulo; + BOOST_MATH_STATIC constexpr int digits = std::numeric_limits<double>::digits; + BOOST_MATH_STATIC constexpr int digits10 = std::numeric_limits<double>::digits10; + BOOST_MATH_STATIC constexpr int max_digits10 = std::numeric_limits<double>::max_digits10; + BOOST_MATH_STATIC constexpr int radix = std::numeric_limits<double>::radix; + BOOST_MATH_STATIC constexpr int min_exponent = std::numeric_limits<double>::min_exponent; + BOOST_MATH_STATIC constexpr int min_exponent10 = std::numeric_limits<double>::min_exponent10; + BOOST_MATH_STATIC constexpr int max_exponent = std::numeric_limits<double>::max_exponent; + BOOST_MATH_STATIC constexpr int max_exponent10 = std::numeric_limits<double>::max_exponent10; + BOOST_MATH_STATIC constexpr bool traps = std::numeric_limits<double>::traps; + BOOST_MATH_STATIC constexpr bool tinyness_before = std::numeric_limits<double>::tinyness_before; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double (min) () { return DBL_MIN; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double (max) () { return DBL_MAX; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double lowest () { return -DBL_MAX; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double epsilon () { return DBL_EPSILON; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double round_error () { return 0.5; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double infinity () { return static_cast<double>(INFINITY); } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double quiet_NaN () { return static_cast<double>(NAN); } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double signaling_NaN () + { + #ifdef DBL_SNAN + return DBL_SNAN; + #else + return static_cast<double>(NAN); + #endif + } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double denorm_min () { return DBL_TRUE_MIN; } +}; + +template <> +struct numeric_limits<short> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = std::numeric_limits<short>::is_specialized; + BOOST_MATH_STATIC constexpr bool is_signed = std::numeric_limits<short>::is_signed; + BOOST_MATH_STATIC constexpr bool is_integer = std::numeric_limits<short>::is_integer; + BOOST_MATH_STATIC constexpr bool is_exact = std::numeric_limits<short>::is_exact; + BOOST_MATH_STATIC constexpr bool has_infinity = std::numeric_limits<short>::has_infinity; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = std::numeric_limits<short>::has_quiet_NaN; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = std::numeric_limits<short>::has_signaling_NaN; + + BOOST_MATH_STATIC constexpr std::float_round_style round_style = std::numeric_limits<short>::round_style; + BOOST_MATH_STATIC constexpr bool is_iec559 = std::numeric_limits<short>::is_iec559; + BOOST_MATH_STATIC constexpr bool is_bounded = std::numeric_limits<short>::is_bounded; + BOOST_MATH_STATIC constexpr bool is_modulo = std::numeric_limits<short>::is_modulo; + BOOST_MATH_STATIC constexpr int digits = std::numeric_limits<short>::digits; + BOOST_MATH_STATIC constexpr int digits10 = std::numeric_limits<short>::digits10; + BOOST_MATH_STATIC constexpr int max_digits10 = std::numeric_limits<short>::max_digits10; + BOOST_MATH_STATIC constexpr int radix = std::numeric_limits<short>::radix; + BOOST_MATH_STATIC constexpr int min_exponent = std::numeric_limits<short>::min_exponent; + BOOST_MATH_STATIC constexpr int min_exponent10 = std::numeric_limits<short>::min_exponent10; + BOOST_MATH_STATIC constexpr int max_exponent = std::numeric_limits<short>::max_exponent; + BOOST_MATH_STATIC constexpr int max_exponent10 = std::numeric_limits<short>::max_exponent10; + BOOST_MATH_STATIC constexpr bool traps = std::numeric_limits<short>::traps; + BOOST_MATH_STATIC constexpr bool tinyness_before = std::numeric_limits<short>::tinyness_before; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short (min) () { return SHRT_MIN; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short (max) () { return SHRT_MAX; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short lowest () { return SHRT_MIN; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<unsigned short> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = std::numeric_limits<unsigned short>::is_specialized; + BOOST_MATH_STATIC constexpr bool is_signed = std::numeric_limits<unsigned short>::is_signed; + BOOST_MATH_STATIC constexpr bool is_integer = std::numeric_limits<unsigned short>::is_integer; + BOOST_MATH_STATIC constexpr bool is_exact = std::numeric_limits<unsigned short>::is_exact; + BOOST_MATH_STATIC constexpr bool has_infinity = std::numeric_limits<unsigned short>::has_infinity; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = std::numeric_limits<unsigned short>::has_quiet_NaN; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = std::numeric_limits<unsigned short>::has_signaling_NaN; + + BOOST_MATH_STATIC constexpr std::float_round_style round_style = std::numeric_limits<unsigned short>::round_style; + BOOST_MATH_STATIC constexpr bool is_iec559 = std::numeric_limits<unsigned short>::is_iec559; + BOOST_MATH_STATIC constexpr bool is_bounded = std::numeric_limits<unsigned short>::is_bounded; + BOOST_MATH_STATIC constexpr bool is_modulo = std::numeric_limits<unsigned short>::is_modulo; + BOOST_MATH_STATIC constexpr int digits = std::numeric_limits<unsigned short>::digits; + BOOST_MATH_STATIC constexpr int digits10 = std::numeric_limits<unsigned short>::digits10; + BOOST_MATH_STATIC constexpr int max_digits10 = std::numeric_limits<unsigned short>::max_digits10; + BOOST_MATH_STATIC constexpr int radix = std::numeric_limits<unsigned short>::radix; + BOOST_MATH_STATIC constexpr int min_exponent = std::numeric_limits<unsigned short>::min_exponent; + BOOST_MATH_STATIC constexpr int min_exponent10 = std::numeric_limits<unsigned short>::min_exponent10; + BOOST_MATH_STATIC constexpr int max_exponent = std::numeric_limits<unsigned short>::max_exponent; + BOOST_MATH_STATIC constexpr int max_exponent10 = std::numeric_limits<unsigned short>::max_exponent10; + BOOST_MATH_STATIC constexpr bool traps = std::numeric_limits<unsigned short>::traps; + BOOST_MATH_STATIC constexpr bool tinyness_before = std::numeric_limits<unsigned short>::tinyness_before; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short (min) () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short (max) () { return USHRT_MAX; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short lowest () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<int> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = std::numeric_limits<int>::is_specialized; + BOOST_MATH_STATIC constexpr bool is_signed = std::numeric_limits<int>::is_signed; + BOOST_MATH_STATIC constexpr bool is_integer = std::numeric_limits<int>::is_integer; + BOOST_MATH_STATIC constexpr bool is_exact = std::numeric_limits<int>::is_exact; + BOOST_MATH_STATIC constexpr bool has_infinity = std::numeric_limits<int>::has_infinity; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = std::numeric_limits<int>::has_quiet_NaN; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = std::numeric_limits<int>::has_signaling_NaN; + + BOOST_MATH_STATIC constexpr std::float_round_style round_style = std::numeric_limits<int>::round_style; + BOOST_MATH_STATIC constexpr bool is_iec559 = std::numeric_limits<int>::is_iec559; + BOOST_MATH_STATIC constexpr bool is_bounded = std::numeric_limits<int>::is_bounded; + BOOST_MATH_STATIC constexpr bool is_modulo = std::numeric_limits<int>::is_modulo; + BOOST_MATH_STATIC constexpr int digits = std::numeric_limits<int>::digits; + BOOST_MATH_STATIC constexpr int digits10 = std::numeric_limits<int>::digits10; + BOOST_MATH_STATIC constexpr int max_digits10 = std::numeric_limits<int>::max_digits10; + BOOST_MATH_STATIC constexpr int radix = std::numeric_limits<int>::radix; + BOOST_MATH_STATIC constexpr int min_exponent = std::numeric_limits<int>::min_exponent; + BOOST_MATH_STATIC constexpr int min_exponent10 = std::numeric_limits<int>::min_exponent10; + BOOST_MATH_STATIC constexpr int max_exponent = std::numeric_limits<int>::max_exponent; + BOOST_MATH_STATIC constexpr int max_exponent10 = std::numeric_limits<int>::max_exponent10; + BOOST_MATH_STATIC constexpr bool traps = std::numeric_limits<int>::traps; + BOOST_MATH_STATIC constexpr bool tinyness_before = std::numeric_limits<int>::tinyness_before; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int (min) () { return INT_MIN; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int (max) () { return INT_MAX; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int lowest () { return INT_MIN; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<unsigned int> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = std::numeric_limits<unsigned int>::is_specialized; + BOOST_MATH_STATIC constexpr bool is_signed = std::numeric_limits<unsigned int>::is_signed; + BOOST_MATH_STATIC constexpr bool is_integer = std::numeric_limits<unsigned int>::is_integer; + BOOST_MATH_STATIC constexpr bool is_exact = std::numeric_limits<unsigned int>::is_exact; + BOOST_MATH_STATIC constexpr bool has_infinity = std::numeric_limits<unsigned int>::has_infinity; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = std::numeric_limits<unsigned int>::has_quiet_NaN; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = std::numeric_limits<unsigned int>::has_signaling_NaN; + + BOOST_MATH_STATIC constexpr std::float_round_style round_style = std::numeric_limits<unsigned int>::round_style; + BOOST_MATH_STATIC constexpr bool is_iec559 = std::numeric_limits<unsigned int>::is_iec559; + BOOST_MATH_STATIC constexpr bool is_bounded = std::numeric_limits<unsigned int>::is_bounded; + BOOST_MATH_STATIC constexpr bool is_modulo = std::numeric_limits<unsigned int>::is_modulo; + BOOST_MATH_STATIC constexpr int digits = std::numeric_limits<unsigned int>::digits; + BOOST_MATH_STATIC constexpr int digits10 = std::numeric_limits<unsigned int>::digits10; + BOOST_MATH_STATIC constexpr int max_digits10 = std::numeric_limits<unsigned int>::max_digits10; + BOOST_MATH_STATIC constexpr int radix = std::numeric_limits<unsigned int>::radix; + BOOST_MATH_STATIC constexpr int min_exponent = std::numeric_limits<unsigned int>::min_exponent; + BOOST_MATH_STATIC constexpr int min_exponent10 = std::numeric_limits<unsigned int>::min_exponent10; + BOOST_MATH_STATIC constexpr int max_exponent = std::numeric_limits<unsigned int>::max_exponent; + BOOST_MATH_STATIC constexpr int max_exponent10 = std::numeric_limits<unsigned int>::max_exponent10; + BOOST_MATH_STATIC constexpr bool traps = std::numeric_limits<unsigned int>::traps; + BOOST_MATH_STATIC constexpr bool tinyness_before = std::numeric_limits<unsigned int>::tinyness_before; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int (min) () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int (max) () { return UINT_MAX; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int lowest () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<long> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = std::numeric_limits<long>::is_specialized; + BOOST_MATH_STATIC constexpr bool is_signed = std::numeric_limits<long>::is_signed; + BOOST_MATH_STATIC constexpr bool is_integer = std::numeric_limits<long>::is_integer; + BOOST_MATH_STATIC constexpr bool is_exact = std::numeric_limits<long>::is_exact; + BOOST_MATH_STATIC constexpr bool has_infinity = std::numeric_limits<long>::has_infinity; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = std::numeric_limits<long>::has_quiet_NaN; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = std::numeric_limits<long>::has_signaling_NaN; + + BOOST_MATH_STATIC constexpr std::float_round_style round_style = std::numeric_limits<long>::round_style; + BOOST_MATH_STATIC constexpr bool is_iec559 = std::numeric_limits<long>::is_iec559; + BOOST_MATH_STATIC constexpr bool is_bounded = std::numeric_limits<long>::is_bounded; + BOOST_MATH_STATIC constexpr bool is_modulo = std::numeric_limits<long>::is_modulo; + BOOST_MATH_STATIC constexpr int digits = std::numeric_limits<long>::digits; + BOOST_MATH_STATIC constexpr int digits10 = std::numeric_limits<long>::digits10; + BOOST_MATH_STATIC constexpr int max_digits10 = std::numeric_limits<long>::max_digits10; + BOOST_MATH_STATIC constexpr int radix = std::numeric_limits<long>::radix; + BOOST_MATH_STATIC constexpr int min_exponent = std::numeric_limits<long>::min_exponent; + BOOST_MATH_STATIC constexpr int min_exponent10 = std::numeric_limits<long>::min_exponent10; + BOOST_MATH_STATIC constexpr int max_exponent = std::numeric_limits<long>::max_exponent; + BOOST_MATH_STATIC constexpr int max_exponent10 = std::numeric_limits<long>::max_exponent10; + BOOST_MATH_STATIC constexpr bool traps = std::numeric_limits<long>::traps; + BOOST_MATH_STATIC constexpr bool tinyness_before = std::numeric_limits<long>::tinyness_before; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long (min) () { return LONG_MIN; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long (max) () { return LONG_MAX; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long lowest () { return LONG_MIN; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<unsigned long> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = std::numeric_limits<unsigned long>::is_specialized; + BOOST_MATH_STATIC constexpr bool is_signed = std::numeric_limits<unsigned long>::is_signed; + BOOST_MATH_STATIC constexpr bool is_integer = std::numeric_limits<unsigned long>::is_integer; + BOOST_MATH_STATIC constexpr bool is_exact = std::numeric_limits<unsigned long>::is_exact; + BOOST_MATH_STATIC constexpr bool has_infinity = std::numeric_limits<unsigned long>::has_infinity; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = std::numeric_limits<unsigned long>::has_quiet_NaN; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = std::numeric_limits<unsigned long>::has_signaling_NaN; + + BOOST_MATH_STATIC constexpr std::float_round_style round_style = std::numeric_limits<unsigned long>::round_style; + BOOST_MATH_STATIC constexpr bool is_iec559 = std::numeric_limits<unsigned long>::is_iec559; + BOOST_MATH_STATIC constexpr bool is_bounded = std::numeric_limits<unsigned long>::is_bounded; + BOOST_MATH_STATIC constexpr bool is_modulo = std::numeric_limits<unsigned long>::is_modulo; + BOOST_MATH_STATIC constexpr int digits = std::numeric_limits<unsigned long>::digits; + BOOST_MATH_STATIC constexpr int digits10 = std::numeric_limits<unsigned long>::digits10; + BOOST_MATH_STATIC constexpr int max_digits10 = std::numeric_limits<unsigned long>::max_digits10; + BOOST_MATH_STATIC constexpr int radix = std::numeric_limits<unsigned long>::radix; + BOOST_MATH_STATIC constexpr int min_exponent = std::numeric_limits<unsigned long>::min_exponent; + BOOST_MATH_STATIC constexpr int min_exponent10 = std::numeric_limits<unsigned long>::min_exponent10; + BOOST_MATH_STATIC constexpr int max_exponent = std::numeric_limits<unsigned long>::max_exponent; + BOOST_MATH_STATIC constexpr int max_exponent10 = std::numeric_limits<unsigned long>::max_exponent10; + BOOST_MATH_STATIC constexpr bool traps = std::numeric_limits<unsigned long>::traps; + BOOST_MATH_STATIC constexpr bool tinyness_before = std::numeric_limits<unsigned long>::tinyness_before; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long (min) () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long (max) () { return ULONG_MAX; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long lowest () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<long long> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = std::numeric_limits<long long>::is_specialized; + BOOST_MATH_STATIC constexpr bool is_signed = std::numeric_limits<long long>::is_signed; + BOOST_MATH_STATIC constexpr bool is_integer = std::numeric_limits<long long>::is_integer; + BOOST_MATH_STATIC constexpr bool is_exact = std::numeric_limits<long long>::is_exact; + BOOST_MATH_STATIC constexpr bool has_infinity = std::numeric_limits<long long>::has_infinity; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = std::numeric_limits<long long>::has_quiet_NaN; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = std::numeric_limits<long long>::has_signaling_NaN; + + BOOST_MATH_STATIC constexpr std::float_round_style round_style = std::numeric_limits<long long>::round_style; + BOOST_MATH_STATIC constexpr bool is_iec559 = std::numeric_limits<long long>::is_iec559; + BOOST_MATH_STATIC constexpr bool is_bounded = std::numeric_limits<long long>::is_bounded; + BOOST_MATH_STATIC constexpr bool is_modulo = std::numeric_limits<long long>::is_modulo; + BOOST_MATH_STATIC constexpr int digits = std::numeric_limits<long long>::digits; + BOOST_MATH_STATIC constexpr int digits10 = std::numeric_limits<long long>::digits10; + BOOST_MATH_STATIC constexpr int max_digits10 = std::numeric_limits<long long>::max_digits10; + BOOST_MATH_STATIC constexpr int radix = std::numeric_limits<long long>::radix; + BOOST_MATH_STATIC constexpr int min_exponent = std::numeric_limits<long long>::min_exponent; + BOOST_MATH_STATIC constexpr int min_exponent10 = std::numeric_limits<long long>::min_exponent10; + BOOST_MATH_STATIC constexpr int max_exponent = std::numeric_limits<long long>::max_exponent; + BOOST_MATH_STATIC constexpr int max_exponent10 = std::numeric_limits<long long>::max_exponent10; + BOOST_MATH_STATIC constexpr bool traps = std::numeric_limits<long long>::traps; + BOOST_MATH_STATIC constexpr bool tinyness_before = std::numeric_limits<long long>::tinyness_before; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long (min) () { return LLONG_MIN; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long (max) () { return LLONG_MAX; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long lowest () { return LLONG_MIN; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<unsigned long long> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = std::numeric_limits<unsigned long long>::is_specialized; + BOOST_MATH_STATIC constexpr bool is_signed = std::numeric_limits<unsigned long long>::is_signed; + BOOST_MATH_STATIC constexpr bool is_integer = std::numeric_limits<unsigned long long>::is_integer; + BOOST_MATH_STATIC constexpr bool is_exact = std::numeric_limits<unsigned long long>::is_exact; + BOOST_MATH_STATIC constexpr bool has_infinity = std::numeric_limits<unsigned long long>::has_infinity; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = std::numeric_limits<unsigned long long>::has_quiet_NaN; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = std::numeric_limits<unsigned long long>::has_signaling_NaN; + + BOOST_MATH_STATIC constexpr std::float_round_style round_style = std::numeric_limits<unsigned long long>::round_style; + BOOST_MATH_STATIC constexpr bool is_iec559 = std::numeric_limits<unsigned long long>::is_iec559; + BOOST_MATH_STATIC constexpr bool is_bounded = std::numeric_limits<unsigned long long>::is_bounded; + BOOST_MATH_STATIC constexpr bool is_modulo = std::numeric_limits<unsigned long long>::is_modulo; + BOOST_MATH_STATIC constexpr int digits = std::numeric_limits<unsigned long long>::digits; + BOOST_MATH_STATIC constexpr int digits10 = std::numeric_limits<unsigned long long>::digits10; + BOOST_MATH_STATIC constexpr int max_digits10 = std::numeric_limits<unsigned long long>::max_digits10; + BOOST_MATH_STATIC constexpr int radix = std::numeric_limits<unsigned long long>::radix; + BOOST_MATH_STATIC constexpr int min_exponent = std::numeric_limits<unsigned long long>::min_exponent; + BOOST_MATH_STATIC constexpr int min_exponent10 = std::numeric_limits<unsigned long long>::min_exponent10; + BOOST_MATH_STATIC constexpr int max_exponent = std::numeric_limits<unsigned long long>::max_exponent; + BOOST_MATH_STATIC constexpr int max_exponent10 = std::numeric_limits<unsigned long long>::max_exponent10; + BOOST_MATH_STATIC constexpr bool traps = std::numeric_limits<unsigned long long>::traps; + BOOST_MATH_STATIC constexpr bool tinyness_before = std::numeric_limits<unsigned long long>::tinyness_before; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long (min) () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long (max) () { return ULLONG_MAX; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long lowest () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<bool> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = std::numeric_limits<bool>::is_specialized; + BOOST_MATH_STATIC constexpr bool is_signed = std::numeric_limits<bool>::is_signed; + BOOST_MATH_STATIC constexpr bool is_integer = std::numeric_limits<bool>::is_integer; + BOOST_MATH_STATIC constexpr bool is_exact = std::numeric_limits<bool>::is_exact; + BOOST_MATH_STATIC constexpr bool has_infinity = std::numeric_limits<bool>::has_infinity; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = std::numeric_limits<bool>::has_quiet_NaN; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = std::numeric_limits<bool>::has_signaling_NaN; + + BOOST_MATH_STATIC constexpr std::float_round_style round_style = std::numeric_limits<bool>::round_style; + BOOST_MATH_STATIC constexpr bool is_iec559 = std::numeric_limits<bool>::is_iec559; + BOOST_MATH_STATIC constexpr bool is_bounded = std::numeric_limits<bool>::is_bounded; + BOOST_MATH_STATIC constexpr bool is_modulo = std::numeric_limits<bool>::is_modulo; + BOOST_MATH_STATIC constexpr int digits = std::numeric_limits<bool>::digits; + BOOST_MATH_STATIC constexpr int digits10 = std::numeric_limits<bool>::digits10; + BOOST_MATH_STATIC constexpr int max_digits10 = std::numeric_limits<bool>::max_digits10; + BOOST_MATH_STATIC constexpr int radix = std::numeric_limits<bool>::radix; + BOOST_MATH_STATIC constexpr int min_exponent = std::numeric_limits<bool>::min_exponent; + BOOST_MATH_STATIC constexpr int min_exponent10 = std::numeric_limits<bool>::min_exponent10; + BOOST_MATH_STATIC constexpr int max_exponent = std::numeric_limits<bool>::max_exponent; + BOOST_MATH_STATIC constexpr int max_exponent10 = std::numeric_limits<bool>::max_exponent10; + BOOST_MATH_STATIC constexpr bool traps = std::numeric_limits<bool>::traps; + BOOST_MATH_STATIC constexpr bool tinyness_before = std::numeric_limits<bool>::tinyness_before; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool (min) () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool (max) () { return true; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool lowest () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool epsilon () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool round_error () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool infinity () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool quiet_NaN () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool signaling_NaN () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool denorm_min () { return false; } +}; + +#elif defined(BOOST_MATH_HAS_NVRTC) // Pure NVRTC support - Removes rounding style and approximates the traits + +template <> +struct numeric_limits<float> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = true; + BOOST_MATH_STATIC constexpr bool is_signed = true; + BOOST_MATH_STATIC constexpr bool is_integer = false; + BOOST_MATH_STATIC constexpr bool is_exact = false; + BOOST_MATH_STATIC constexpr bool has_infinity = true; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = true; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = true; + + BOOST_MATH_STATIC constexpr bool is_iec559 = true; + BOOST_MATH_STATIC constexpr bool is_bounded = true; + BOOST_MATH_STATIC constexpr bool is_modulo = false; + BOOST_MATH_STATIC constexpr int digits = 24; + BOOST_MATH_STATIC constexpr int digits10 = 6; + BOOST_MATH_STATIC constexpr int max_digits10 = 9; + BOOST_MATH_STATIC constexpr int radix = 2; + BOOST_MATH_STATIC constexpr int min_exponent = -125; + BOOST_MATH_STATIC constexpr int min_exponent10 = -37; + BOOST_MATH_STATIC constexpr int max_exponent = 128; + BOOST_MATH_STATIC constexpr int max_exponent10 = 38; + BOOST_MATH_STATIC constexpr bool traps = false; + BOOST_MATH_STATIC constexpr bool tinyness_before = false; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float (min) () { return 1.17549435e-38F; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float (max) () { return 3.40282347e+38F; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float lowest () { return -3.40282347e+38F; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float epsilon () { return 1.1920929e-07; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float round_error () { return 0.5F; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float infinity () { return __int_as_float(0x7f800000); } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float quiet_NaN () { return __int_as_float(0x7fc00000); } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float signaling_NaN () { return __int_as_float(0x7fa00000); } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr float denorm_min () { return 1.4013e-45F; } +}; + +template <> +struct numeric_limits<double> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = true; + BOOST_MATH_STATIC constexpr bool is_signed = true; + BOOST_MATH_STATIC constexpr bool is_integer = false; + BOOST_MATH_STATIC constexpr bool is_exact = false; + BOOST_MATH_STATIC constexpr bool has_infinity = true; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = true; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = true; + + BOOST_MATH_STATIC constexpr bool is_iec559 = true; + BOOST_MATH_STATIC constexpr bool is_bounded = true; + BOOST_MATH_STATIC constexpr bool is_modulo = false; + BOOST_MATH_STATIC constexpr int digits = 53; + BOOST_MATH_STATIC constexpr int digits10 = 15; + BOOST_MATH_STATIC constexpr int max_digits10 = 21; + BOOST_MATH_STATIC constexpr int radix = 2; + BOOST_MATH_STATIC constexpr int min_exponent = -1021; + BOOST_MATH_STATIC constexpr int min_exponent10 = -307; + BOOST_MATH_STATIC constexpr int max_exponent = 1024; + BOOST_MATH_STATIC constexpr int max_exponent10 = 308; + BOOST_MATH_STATIC constexpr bool traps = false; + BOOST_MATH_STATIC constexpr bool tinyness_before = false; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double (min) () { return 2.2250738585072014e-308; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double (max) () { return 1.7976931348623157e+308; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double lowest () { return -1.7976931348623157e+308; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double epsilon () { return 2.2204460492503131e-16; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double round_error () { return 0.5; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double infinity () { return __longlong_as_double(0x7ff0000000000000ULL); } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double quiet_NaN () { return __longlong_as_double(0x7ff8000000000000ULL); } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double signaling_NaN () { return __longlong_as_double(0x7ff4000000000000ULL); } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr double denorm_min () { return 4.9406564584124654e-324; } +}; + +template <> +struct numeric_limits<short> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = true; + BOOST_MATH_STATIC constexpr bool is_signed = true; + BOOST_MATH_STATIC constexpr bool is_integer = true; + BOOST_MATH_STATIC constexpr bool is_exact = true; + BOOST_MATH_STATIC constexpr bool has_infinity = false; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = false; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = false; + + BOOST_MATH_STATIC constexpr bool is_iec559 = false; + BOOST_MATH_STATIC constexpr bool is_bounded = true; + BOOST_MATH_STATIC constexpr bool is_modulo = false; + BOOST_MATH_STATIC constexpr int digits = 15; + BOOST_MATH_STATIC constexpr int digits10 = 4; + BOOST_MATH_STATIC constexpr int max_digits10 = 0; + BOOST_MATH_STATIC constexpr int radix = 2; + BOOST_MATH_STATIC constexpr int min_exponent = 0; + BOOST_MATH_STATIC constexpr int min_exponent10 = 0; + BOOST_MATH_STATIC constexpr int max_exponent = 0; + BOOST_MATH_STATIC constexpr int max_exponent10 = 0; + BOOST_MATH_STATIC constexpr bool traps = true; + BOOST_MATH_STATIC constexpr bool tinyness_before = false; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short (min) () { return -32768; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short (max) () { return 32767; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short lowest () { return -32768; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr short denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<unsigned short> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = true; + BOOST_MATH_STATIC constexpr bool is_signed = false; + BOOST_MATH_STATIC constexpr bool is_integer = true; + BOOST_MATH_STATIC constexpr bool is_exact = true; + BOOST_MATH_STATIC constexpr bool has_infinity = false; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = false; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = false; + + BOOST_MATH_STATIC constexpr bool is_iec559 = false; + BOOST_MATH_STATIC constexpr bool is_bounded = true; + BOOST_MATH_STATIC constexpr bool is_modulo = true; + BOOST_MATH_STATIC constexpr int digits = 16; + BOOST_MATH_STATIC constexpr int digits10 = 4; + BOOST_MATH_STATIC constexpr int max_digits10 = 0; + BOOST_MATH_STATIC constexpr int radix = 2; + BOOST_MATH_STATIC constexpr int min_exponent = 0; + BOOST_MATH_STATIC constexpr int min_exponent10 = 0; + BOOST_MATH_STATIC constexpr int max_exponent = 0; + BOOST_MATH_STATIC constexpr int max_exponent10 = 0; + BOOST_MATH_STATIC constexpr bool traps = true; + BOOST_MATH_STATIC constexpr bool tinyness_before = false; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short (min) () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short (max) () { return 65535U; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short lowest () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned short denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<int> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = true; + BOOST_MATH_STATIC constexpr bool is_signed = true; + BOOST_MATH_STATIC constexpr bool is_integer = true; + BOOST_MATH_STATIC constexpr bool is_exact = true; + BOOST_MATH_STATIC constexpr bool has_infinity = false; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = false; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = false; + + BOOST_MATH_STATIC constexpr bool is_iec559 = false; + BOOST_MATH_STATIC constexpr bool is_bounded = true; + BOOST_MATH_STATIC constexpr bool is_modulo = false; + BOOST_MATH_STATIC constexpr int digits = 31; + BOOST_MATH_STATIC constexpr int digits10 = 9; + BOOST_MATH_STATIC constexpr int max_digits10 = 0; + BOOST_MATH_STATIC constexpr int radix = 2; + BOOST_MATH_STATIC constexpr int min_exponent = 0; + BOOST_MATH_STATIC constexpr int min_exponent10 = 0; + BOOST_MATH_STATIC constexpr int max_exponent = 0; + BOOST_MATH_STATIC constexpr int max_exponent10 = 0; + BOOST_MATH_STATIC constexpr bool traps = true; + BOOST_MATH_STATIC constexpr bool tinyness_before = false; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int (min) () { return -2147483648; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int (max) () { return 2147483647; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int lowest () { return -2147483648; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr int denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<unsigned int> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = true; + BOOST_MATH_STATIC constexpr bool is_signed = false; + BOOST_MATH_STATIC constexpr bool is_integer = true; + BOOST_MATH_STATIC constexpr bool is_exact = true; + BOOST_MATH_STATIC constexpr bool has_infinity = false; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = false; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = false; + + BOOST_MATH_STATIC constexpr bool is_iec559 = false; + BOOST_MATH_STATIC constexpr bool is_bounded = true; + BOOST_MATH_STATIC constexpr bool is_modulo = true; + BOOST_MATH_STATIC constexpr int digits = 32; + BOOST_MATH_STATIC constexpr int digits10 = 9; + BOOST_MATH_STATIC constexpr int max_digits10 = 0; + BOOST_MATH_STATIC constexpr int radix = 2; + BOOST_MATH_STATIC constexpr int min_exponent = 0; + BOOST_MATH_STATIC constexpr int min_exponent10 = 0; + BOOST_MATH_STATIC constexpr int max_exponent = 0; + BOOST_MATH_STATIC constexpr int max_exponent10 = 0; + BOOST_MATH_STATIC constexpr bool traps = true; + BOOST_MATH_STATIC constexpr bool tinyness_before = false; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int (min) () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int (max) () { return 4294967295U; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int lowest () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned int denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<long> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = true; + BOOST_MATH_STATIC constexpr bool is_signed = true; + BOOST_MATH_STATIC constexpr bool is_integer = true; + BOOST_MATH_STATIC constexpr bool is_exact = true; + BOOST_MATH_STATIC constexpr bool has_infinity = false; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = false; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = false; + + BOOST_MATH_STATIC constexpr bool is_iec559 = false; + BOOST_MATH_STATIC constexpr bool is_bounded = true; + BOOST_MATH_STATIC constexpr bool is_modulo = false; + BOOST_MATH_STATIC constexpr int digits = 63; + BOOST_MATH_STATIC constexpr int digits10 = 18; + BOOST_MATH_STATIC constexpr int max_digits10 = 0; + BOOST_MATH_STATIC constexpr int radix = 2; + BOOST_MATH_STATIC constexpr int min_exponent = 0; + BOOST_MATH_STATIC constexpr int min_exponent10 = 0; + BOOST_MATH_STATIC constexpr int max_exponent = 0; + BOOST_MATH_STATIC constexpr int max_exponent10 = 0; + BOOST_MATH_STATIC constexpr bool traps = true; + BOOST_MATH_STATIC constexpr bool tinyness_before = false; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long (min) () { return -9223372036854775808L; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long (max) () { return 9223372036854775807L; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long lowest () { return -9223372036854775808L; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<unsigned long> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = true; + BOOST_MATH_STATIC constexpr bool is_signed = false; + BOOST_MATH_STATIC constexpr bool is_integer = true; + BOOST_MATH_STATIC constexpr bool is_exact = true; + BOOST_MATH_STATIC constexpr bool has_infinity = false; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = false; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = false; + + BOOST_MATH_STATIC constexpr bool is_iec559 = false; + BOOST_MATH_STATIC constexpr bool is_bounded = true; + BOOST_MATH_STATIC constexpr bool is_modulo = true; + BOOST_MATH_STATIC constexpr int digits = 64; + BOOST_MATH_STATIC constexpr int digits10 = 19; + BOOST_MATH_STATIC constexpr int max_digits10 = 0; + BOOST_MATH_STATIC constexpr int radix = 2; + BOOST_MATH_STATIC constexpr int min_exponent = 0; + BOOST_MATH_STATIC constexpr int min_exponent10 = 0; + BOOST_MATH_STATIC constexpr int max_exponent = 0; + BOOST_MATH_STATIC constexpr int max_exponent10 = 0; + BOOST_MATH_STATIC constexpr bool traps = true; + BOOST_MATH_STATIC constexpr bool tinyness_before = false; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long (min) () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long (max) () { return 18446744073709551615UL; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long lowest () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<long long> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = true; + BOOST_MATH_STATIC constexpr bool is_signed = true; + BOOST_MATH_STATIC constexpr bool is_integer = true; + BOOST_MATH_STATIC constexpr bool is_exact = true; + BOOST_MATH_STATIC constexpr bool has_infinity = false; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = false; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = false; + + BOOST_MATH_STATIC constexpr bool is_iec559 = false; + BOOST_MATH_STATIC constexpr bool is_bounded = true; + BOOST_MATH_STATIC constexpr bool is_modulo = false; + BOOST_MATH_STATIC constexpr int digits = 63; + BOOST_MATH_STATIC constexpr int digits10 = 18; + BOOST_MATH_STATIC constexpr int max_digits10 = 0; + BOOST_MATH_STATIC constexpr int radix = 2; + BOOST_MATH_STATIC constexpr int min_exponent = 0; + BOOST_MATH_STATIC constexpr int min_exponent10 = 0; + BOOST_MATH_STATIC constexpr int max_exponent = 0; + BOOST_MATH_STATIC constexpr int max_exponent10 = 0; + BOOST_MATH_STATIC constexpr bool traps = true; + BOOST_MATH_STATIC constexpr bool tinyness_before = false; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long (min) () { return -9223372036854775808LL; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long (max) () { return 9223372036854775807LL; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long lowest () { return -9223372036854775808LL; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr long long denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<unsigned long long> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = true; + BOOST_MATH_STATIC constexpr bool is_signed = false; + BOOST_MATH_STATIC constexpr bool is_integer = true; + BOOST_MATH_STATIC constexpr bool is_exact = true; + BOOST_MATH_STATIC constexpr bool has_infinity = false; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = false; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = false; + + BOOST_MATH_STATIC constexpr bool is_iec559 = false; + BOOST_MATH_STATIC constexpr bool is_bounded = true; + BOOST_MATH_STATIC constexpr bool is_modulo = true; + BOOST_MATH_STATIC constexpr int digits = 64; + BOOST_MATH_STATIC constexpr int digits10 = 19; + BOOST_MATH_STATIC constexpr int max_digits10 = 0; + BOOST_MATH_STATIC constexpr int radix = 2; + BOOST_MATH_STATIC constexpr int min_exponent = 0; + BOOST_MATH_STATIC constexpr int min_exponent10 = 0; + BOOST_MATH_STATIC constexpr int max_exponent = 0; + BOOST_MATH_STATIC constexpr int max_exponent10 = 0; + BOOST_MATH_STATIC constexpr bool traps = true; + BOOST_MATH_STATIC constexpr bool tinyness_before = false; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long (min) () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long (max) () { return 18446744073709551615UL; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long lowest () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long epsilon () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long round_error () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long infinity () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long quiet_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long signaling_NaN () { return 0; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr unsigned long long denorm_min () { return 0; } +}; + +template <> +struct numeric_limits<bool> +{ + BOOST_MATH_STATIC constexpr bool is_specialized = true; + BOOST_MATH_STATIC constexpr bool is_signed = false; + BOOST_MATH_STATIC constexpr bool is_integer = true; + BOOST_MATH_STATIC constexpr bool is_exact = true; + BOOST_MATH_STATIC constexpr bool has_infinity = false; + BOOST_MATH_STATIC constexpr bool has_quiet_NaN = false; + BOOST_MATH_STATIC constexpr bool has_signaling_NaN = false; + + BOOST_MATH_STATIC constexpr bool is_iec559 = false; + BOOST_MATH_STATIC constexpr bool is_bounded = true; + BOOST_MATH_STATIC constexpr bool is_modulo = false; + BOOST_MATH_STATIC constexpr int digits = 1; + BOOST_MATH_STATIC constexpr int digits10 = 0; + BOOST_MATH_STATIC constexpr int max_digits10 = 0; + BOOST_MATH_STATIC constexpr int radix = 2; + BOOST_MATH_STATIC constexpr int min_exponent = 0; + BOOST_MATH_STATIC constexpr int min_exponent10 = 0; + BOOST_MATH_STATIC constexpr int max_exponent = 0; + BOOST_MATH_STATIC constexpr int max_exponent10 = 0; + BOOST_MATH_STATIC constexpr bool traps = false; + BOOST_MATH_STATIC constexpr bool tinyness_before = false; + + // Member Functions + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool (min) () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool (max) () { return true; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool lowest () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool epsilon () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool round_error () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool infinity () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool quiet_NaN () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool signaling_NaN () { return false; } + BOOST_MATH_GPU_ENABLED BOOST_MATH_STATIC constexpr bool denorm_min () { return false; } +}; + +#endif // BOOST_MATH_HAS_GPU_SUPPORT + +} // namespace math +} // namespace boost + +#endif diff --git a/contrib/restricted/boost/math/include/boost/math/tools/polynomial.hpp b/contrib/restricted/boost/math/include/boost/math/tools/polynomial.hpp index 6f9b9039fd..5d395cdbed 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/polynomial.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/polynomial.hpp @@ -32,7 +32,7 @@ namespace boost{ namespace math{ namespace tools{ template <class T> -T chebyshev_coefficient(unsigned n, unsigned m) +BOOST_MATH_GPU_ENABLED T chebyshev_coefficient(unsigned n, unsigned m) { BOOST_MATH_STD_USING if(m > n) @@ -56,7 +56,7 @@ T chebyshev_coefficient(unsigned n, unsigned m) } template <class Seq> -Seq polynomial_to_chebyshev(const Seq& s) +BOOST_MATH_GPU_ENABLED Seq polynomial_to_chebyshev(const Seq& s) { // Converts a Polynomial into Chebyshev form: typedef typename Seq::value_type value_type; @@ -92,7 +92,7 @@ Seq polynomial_to_chebyshev(const Seq& s) } template <class Seq, class T> -T evaluate_chebyshev(const Seq& a, const T& x) +BOOST_MATH_GPU_ENABLED T evaluate_chebyshev(const Seq& a, const T& x) { // Clenshaw's formula: typedef typename Seq::difference_type difference_type; @@ -124,7 +124,7 @@ namespace detail { * subtlety of distinction. */ template <typename T, typename N> -typename std::enable_if<!std::numeric_limits<T>::is_integer, void >::type +BOOST_MATH_GPU_ENABLED typename std::enable_if<!std::numeric_limits<T>::is_integer, void >::type division_impl(polynomial<T> &q, polynomial<T> &u, const polynomial<T>& v, N n, N k) { q[k] = u[n + k] / v[n]; @@ -136,7 +136,7 @@ division_impl(polynomial<T> &q, polynomial<T> &u, const polynomial<T>& v, N n, N } template <class T, class N> -T integer_power(T t, N n) +BOOST_MATH_GPU_ENABLED T integer_power(T t, N n) { switch(n) { @@ -167,7 +167,7 @@ T integer_power(T t, N n) * don't currently have that subtlety of distinction. */ template <typename T, typename N> -typename std::enable_if<std::numeric_limits<T>::is_integer, void >::type +BOOST_MATH_GPU_ENABLED typename std::enable_if<std::numeric_limits<T>::is_integer, void >::type division_impl(polynomial<T> &q, polynomial<T> &u, const polynomial<T>& v, N n, N k) { q[k] = u[n + k] * integer_power(v[n], k); @@ -187,7 +187,7 @@ division_impl(polynomial<T> &q, polynomial<T> &u, const polynomial<T>& v, N n, N * @param v Divisor. */ template <typename T> -std::pair< polynomial<T>, polynomial<T> > +BOOST_MATH_GPU_ENABLED std::pair< polynomial<T>, polynomial<T> > division(polynomial<T> u, const polynomial<T>& v) { BOOST_MATH_ASSERT(v.size() <= u.size()); @@ -218,7 +218,7 @@ division(polynomial<T> u, const polynomial<T>& v) struct negate { template <class T> - T operator()(T const &x) const + BOOST_MATH_GPU_ENABLED T operator()(T const &x) const { return -x; } @@ -227,7 +227,7 @@ struct negate struct plus { template <class T, class U> - T operator()(T const &x, U const& y) const + BOOST_MATH_GPU_ENABLED T operator()(T const &x, U const& y) const { return x + y; } @@ -236,7 +236,7 @@ struct plus struct minus { template <class T, class U> - T operator()(T const &x, U const& y) const + BOOST_MATH_GPU_ENABLED T operator()(T const &x, U const& y) const { return x - y; } @@ -248,13 +248,13 @@ struct minus * Returns the zero element for multiplication of polynomials. */ template <class T> -polynomial<T> zero_element(std::multiplies< polynomial<T> >) +BOOST_MATH_GPU_ENABLED polynomial<T> zero_element(std::multiplies< polynomial<T> >) { return polynomial<T>(); } template <class T> -polynomial<T> identity_element(std::multiplies< polynomial<T> >) +BOOST_MATH_GPU_ENABLED polynomial<T> identity_element(std::multiplies< polynomial<T> >) { return polynomial<T>(T(1)); } @@ -264,7 +264,7 @@ polynomial<T> identity_element(std::multiplies< polynomial<T> >) * This function is not defined for division by zero: user beware. */ template <typename T> -std::pair< polynomial<T>, polynomial<T> > +BOOST_MATH_GPU_ENABLED std::pair< polynomial<T>, polynomial<T> > quotient_remainder(const polynomial<T>& dividend, const polynomial<T>& divisor) { BOOST_MATH_ASSERT(divisor); @@ -283,51 +283,51 @@ public: typedef typename std::vector<T>::size_type size_type; // construct: - polynomial()= default; + BOOST_MATH_GPU_ENABLED polynomial()= default; template <class U> - polynomial(const U* data, unsigned order) + BOOST_MATH_GPU_ENABLED polynomial(const U* data, unsigned order) : m_data(data, data + order + 1) { normalize(); } template <class Iterator> - polynomial(Iterator first, Iterator last) + BOOST_MATH_GPU_ENABLED polynomial(Iterator first, Iterator last) : m_data(first, last) { normalize(); } template <class Iterator> - polynomial(Iterator first, unsigned length) + BOOST_MATH_GPU_ENABLED polynomial(Iterator first, unsigned length) : m_data(first, std::next(first, length + 1)) { normalize(); } - polynomial(std::vector<T>&& p) : m_data(std::move(p)) + BOOST_MATH_GPU_ENABLED polynomial(std::vector<T>&& p) : m_data(std::move(p)) { normalize(); } template <class U, typename std::enable_if<std::is_convertible<U, T>::value, bool>::type = true> - explicit polynomial(const U& point) + BOOST_MATH_GPU_ENABLED explicit polynomial(const U& point) { if (point != U(0)) m_data.push_back(point); } // move: - polynomial(polynomial&& p) noexcept + BOOST_MATH_GPU_ENABLED polynomial(polynomial&& p) noexcept : m_data(std::move(p.m_data)) { } // copy: - polynomial(const polynomial& p) + BOOST_MATH_GPU_ENABLED polynomial(const polynomial& p) : m_data(p.m_data) { } template <class U> - polynomial(const polynomial<U>& p) + BOOST_MATH_GPU_ENABLED polynomial(const polynomial<U>& p) { m_data.resize(p.size()); for(unsigned i = 0; i < p.size(); ++i) @@ -337,17 +337,17 @@ public: } #ifdef BOOST_MATH_HAS_IS_CONST_ITERABLE template <class Range, typename std::enable_if<boost::math::tools::detail::is_const_iterable<Range>::value, bool>::type = true> - explicit polynomial(const Range& r) + BOOST_MATH_GPU_ENABLED explicit polynomial(const Range& r) : polynomial(r.begin(), r.end()) { } #endif - polynomial(std::initializer_list<T> l) : polynomial(std::begin(l), std::end(l)) + BOOST_MATH_GPU_ENABLED polynomial(std::initializer_list<T> l) : polynomial(std::begin(l), std::end(l)) { } polynomial& - operator=(std::initializer_list<T> l) + BOOST_MATH_GPU_ENABLED operator=(std::initializer_list<T> l) { m_data.assign(std::begin(l), std::end(l)); normalize(); @@ -356,47 +356,47 @@ public: // access: - size_type size() const { return m_data.size(); } - size_type degree() const + BOOST_MATH_GPU_ENABLED size_type size() const { return m_data.size(); } + BOOST_MATH_GPU_ENABLED size_type degree() const { if (size() == 0) BOOST_MATH_THROW_EXCEPTION(std::logic_error("degree() is undefined for the zero polynomial.")); return m_data.size() - 1; } - value_type& operator[](size_type i) + BOOST_MATH_GPU_ENABLED value_type& operator[](size_type i) { return m_data[i]; } - const value_type& operator[](size_type i) const + BOOST_MATH_GPU_ENABLED const value_type& operator[](size_type i) const { return m_data[i]; } - T evaluate(T z) const + BOOST_MATH_GPU_ENABLED T evaluate(T z) const { return this->operator()(z); } - T operator()(T z) const + BOOST_MATH_GPU_ENABLED T operator()(T z) const { return m_data.size() > 0 ? boost::math::tools::evaluate_polynomial((m_data).data(), z, m_data.size()) : T(0); } - std::vector<T> chebyshev() const + BOOST_MATH_GPU_ENABLED std::vector<T> chebyshev() const { return polynomial_to_chebyshev(m_data); } - std::vector<T> const& data() const + BOOST_MATH_GPU_ENABLED std::vector<T> const& data() const { return m_data; } - std::vector<T> & data() + BOOST_MATH_GPU_ENABLED std::vector<T> & data() { return m_data; } - polynomial<T> prime() const + BOOST_MATH_GPU_ENABLED polynomial<T> prime() const { #ifdef _MSC_VER // Disable int->float conversion warning: @@ -418,7 +418,7 @@ public: #endif } - polynomial<T> integrate() const + BOOST_MATH_GPU_ENABLED polynomial<T> integrate() const { std::vector<T> i_data(m_data.size() + 1); // Choose integration constant such that P(0) = 0. @@ -431,20 +431,20 @@ public: } // operators: - polynomial& operator =(polynomial&& p) noexcept + BOOST_MATH_GPU_ENABLED polynomial& operator =(polynomial&& p) noexcept { m_data = std::move(p.m_data); return *this; } - polynomial& operator =(const polynomial& p) + BOOST_MATH_GPU_ENABLED polynomial& operator =(const polynomial& p) { m_data = p.m_data; return *this; } template <class U> - typename std::enable_if<std::is_constructible<T, U>::value, polynomial&>::type operator +=(const U& value) + BOOST_MATH_GPU_ENABLED typename std::enable_if<std::is_constructible<T, U>::value, polynomial&>::type operator +=(const U& value) { addition(value); normalize(); @@ -452,7 +452,7 @@ public: } template <class U> - typename std::enable_if<std::is_constructible<T, U>::value, polynomial&>::type operator -=(const U& value) + BOOST_MATH_GPU_ENABLED typename std::enable_if<std::is_constructible<T, U>::value, polynomial&>::type operator -=(const U& value) { subtraction(value); normalize(); @@ -460,7 +460,7 @@ public: } template <class U> - typename std::enable_if<std::is_constructible<T, U>::value, polynomial&>::type operator *=(const U& value) + BOOST_MATH_GPU_ENABLED typename std::enable_if<std::is_constructible<T, U>::value, polynomial&>::type operator *=(const U& value) { multiplication(value); normalize(); @@ -468,7 +468,7 @@ public: } template <class U> - typename std::enable_if<std::is_constructible<T, U>::value, polynomial&>::type operator /=(const U& value) + BOOST_MATH_GPU_ENABLED typename std::enable_if<std::is_constructible<T, U>::value, polynomial&>::type operator /=(const U& value) { division(value); normalize(); @@ -476,7 +476,7 @@ public: } template <class U> - typename std::enable_if<std::is_constructible<T, U>::value, polynomial&>::type operator %=(const U& /*value*/) + BOOST_MATH_GPU_ENABLED typename std::enable_if<std::is_constructible<T, U>::value, polynomial&>::type operator %=(const U& /*value*/) { // We can always divide by a scalar, so there is no remainder: this->set_zero(); @@ -484,7 +484,7 @@ public: } template <class U> - polynomial& operator +=(const polynomial<U>& value) + BOOST_MATH_GPU_ENABLED polynomial& operator +=(const polynomial<U>& value) { addition(value); normalize(); @@ -492,7 +492,7 @@ public: } template <class U> - polynomial& operator -=(const polynomial<U>& value) + BOOST_MATH_GPU_ENABLED polynomial& operator -=(const polynomial<U>& value) { subtraction(value); normalize(); @@ -500,7 +500,7 @@ public: } template <typename U, typename V> - void multiply(const polynomial<U>& a, const polynomial<V>& b) { + BOOST_MATH_GPU_ENABLED void multiply(const polynomial<U>& a, const polynomial<V>& b) { if (!a || !b) { this->set_zero(); @@ -514,28 +514,28 @@ public: } template <class U> - polynomial& operator *=(const polynomial<U>& value) + BOOST_MATH_GPU_ENABLED polynomial& operator *=(const polynomial<U>& value) { this->multiply(*this, value); return *this; } template <typename U> - polynomial& operator /=(const polynomial<U>& value) + BOOST_MATH_GPU_ENABLED polynomial& operator /=(const polynomial<U>& value) { *this = quotient_remainder(*this, value).first; return *this; } template <typename U> - polynomial& operator %=(const polynomial<U>& value) + BOOST_MATH_GPU_ENABLED polynomial& operator %=(const polynomial<U>& value) { *this = quotient_remainder(*this, value).second; return *this; } template <typename U> - polynomial& operator >>=(U const &n) + BOOST_MATH_GPU_ENABLED polynomial& operator >>=(U const &n) { BOOST_MATH_ASSERT(n <= m_data.size()); m_data.erase(m_data.begin(), m_data.begin() + n); @@ -543,7 +543,7 @@ public: } template <typename U> - polynomial& operator <<=(U const &n) + BOOST_MATH_GPU_ENABLED polynomial& operator <<=(U const &n) { m_data.insert(m_data.begin(), n, static_cast<T>(0)); normalize(); @@ -551,33 +551,33 @@ public: } // Convenient and efficient query for zero. - bool is_zero() const + BOOST_MATH_GPU_ENABLED bool is_zero() const { return m_data.empty(); } // Conversion to bool. - inline explicit operator bool() const + BOOST_MATH_GPU_ENABLED inline explicit operator bool() const { return !m_data.empty(); } // Fast way to set a polynomial to zero. - void set_zero() + BOOST_MATH_GPU_ENABLED void set_zero() { m_data.clear(); } /** Remove zero coefficients 'from the top', that is for which there are no * non-zero coefficients of higher degree. */ - void normalize() + BOOST_MATH_GPU_ENABLED void normalize() { m_data.erase(std::find_if(m_data.rbegin(), m_data.rend(), [](const T& x)->bool { return x != T(0); }).base(), m_data.end()); } private: template <class U, class R> - polynomial& addition(const U& value, R op) + BOOST_MATH_GPU_ENABLED polynomial& addition(const U& value, R op) { if(m_data.size() == 0) m_data.resize(1, 0); @@ -586,19 +586,19 @@ private: } template <class U> - polynomial& addition(const U& value) + BOOST_MATH_GPU_ENABLED polynomial& addition(const U& value) { return addition(value, detail::plus()); } template <class U> - polynomial& subtraction(const U& value) + BOOST_MATH_GPU_ENABLED polynomial& subtraction(const U& value) { return addition(value, detail::minus()); } template <class U, class R> - polynomial& addition(const polynomial<U>& value, R op) + BOOST_MATH_GPU_ENABLED polynomial& addition(const polynomial<U>& value, R op) { if (m_data.size() < value.size()) m_data.resize(value.size(), 0); @@ -608,26 +608,26 @@ private: } template <class U> - polynomial& addition(const polynomial<U>& value) + BOOST_MATH_GPU_ENABLED polynomial& addition(const polynomial<U>& value) { return addition(value, detail::plus()); } template <class U> - polynomial& subtraction(const polynomial<U>& value) + BOOST_MATH_GPU_ENABLED polynomial& subtraction(const polynomial<U>& value) { return addition(value, detail::minus()); } template <class U> - polynomial& multiplication(const U& value) + BOOST_MATH_GPU_ENABLED polynomial& multiplication(const U& value) { std::transform(m_data.begin(), m_data.end(), m_data.begin(), [&](const T& x)->T { return x * value; }); return *this; } template <class U> - polynomial& division(const U& value) + BOOST_MATH_GPU_ENABLED polynomial& division(const U& value) { std::transform(m_data.begin(), m_data.end(), m_data.begin(), [&](const T& x)->T { return x / value; }); return *this; @@ -638,7 +638,7 @@ private: template <class T> -inline polynomial<T> operator + (const polynomial<T>& a, const polynomial<T>& b) +BOOST_MATH_GPU_ENABLED inline polynomial<T> operator + (const polynomial<T>& a, const polynomial<T>& b) { polynomial<T> result(a); result += b; @@ -646,26 +646,26 @@ inline polynomial<T> operator + (const polynomial<T>& a, const polynomial<T>& b) } template <class T> -inline polynomial<T> operator + (polynomial<T>&& a, const polynomial<T>& b) +BOOST_MATH_GPU_ENABLED inline polynomial<T> operator + (polynomial<T>&& a, const polynomial<T>& b) { a += b; return std::move(a); } template <class T> -inline polynomial<T> operator + (const polynomial<T>& a, polynomial<T>&& b) +BOOST_MATH_GPU_ENABLED inline polynomial<T> operator + (const polynomial<T>& a, polynomial<T>&& b) { b += a; return b; } template <class T> -inline polynomial<T> operator + (polynomial<T>&& a, polynomial<T>&& b) +BOOST_MATH_GPU_ENABLED inline polynomial<T> operator + (polynomial<T>&& a, polynomial<T>&& b) { a += b; return a; } template <class T> -inline polynomial<T> operator - (const polynomial<T>& a, const polynomial<T>& b) +BOOST_MATH_GPU_ENABLED inline polynomial<T> operator - (const polynomial<T>& a, const polynomial<T>& b) { polynomial<T> result(a); result -= b; @@ -673,26 +673,26 @@ inline polynomial<T> operator - (const polynomial<T>& a, const polynomial<T>& b) } template <class T> -inline polynomial<T> operator - (polynomial<T>&& a, const polynomial<T>& b) +BOOST_MATH_GPU_ENABLED inline polynomial<T> operator - (polynomial<T>&& a, const polynomial<T>& b) { a -= b; return a; } template <class T> -inline polynomial<T> operator - (const polynomial<T>& a, polynomial<T>&& b) +BOOST_MATH_GPU_ENABLED inline polynomial<T> operator - (const polynomial<T>& a, polynomial<T>&& b) { b -= a; return -b; } template <class T> -inline polynomial<T> operator - (polynomial<T>&& a, polynomial<T>&& b) +BOOST_MATH_GPU_ENABLED inline polynomial<T> operator - (polynomial<T>&& a, polynomial<T>&& b) { a -= b; return a; } template <class T> -inline polynomial<T> operator * (const polynomial<T>& a, const polynomial<T>& b) +BOOST_MATH_GPU_ENABLED inline polynomial<T> operator * (const polynomial<T>& a, const polynomial<T>& b) { polynomial<T> result; result.multiply(a, b); @@ -700,94 +700,94 @@ inline polynomial<T> operator * (const polynomial<T>& a, const polynomial<T>& b) } template <class T> -inline polynomial<T> operator / (const polynomial<T>& a, const polynomial<T>& b) +BOOST_MATH_GPU_ENABLED inline polynomial<T> operator / (const polynomial<T>& a, const polynomial<T>& b) { return quotient_remainder(a, b).first; } template <class T> -inline polynomial<T> operator % (const polynomial<T>& a, const polynomial<T>& b) +BOOST_MATH_GPU_ENABLED inline polynomial<T> operator % (const polynomial<T>& a, const polynomial<T>& b) { return quotient_remainder(a, b).second; } template <class T, class U> -inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator + (polynomial<T> a, const U& b) +BOOST_MATH_GPU_ENABLED inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator + (polynomial<T> a, const U& b) { a += b; return a; } template <class T, class U> -inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator - (polynomial<T> a, const U& b) +BOOST_MATH_GPU_ENABLED inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator - (polynomial<T> a, const U& b) { a -= b; return a; } template <class T, class U> -inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator * (polynomial<T> a, const U& b) +BOOST_MATH_GPU_ENABLED inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator * (polynomial<T> a, const U& b) { a *= b; return a; } template <class T, class U> -inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator / (polynomial<T> a, const U& b) +BOOST_MATH_GPU_ENABLED inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator / (polynomial<T> a, const U& b) { a /= b; return a; } template <class T, class U> -inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator % (const polynomial<T>&, const U&) +BOOST_MATH_GPU_ENABLED inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator % (const polynomial<T>&, const U&) { // Since we can always divide by a scalar, result is always an empty polynomial: return polynomial<T>(); } template <class U, class T> -inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator + (const U& a, polynomial<T> b) +BOOST_MATH_GPU_ENABLED inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator + (const U& a, polynomial<T> b) { b += a; return b; } template <class U, class T> -inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator - (const U& a, polynomial<T> b) +BOOST_MATH_GPU_ENABLED inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator - (const U& a, polynomial<T> b) { b -= a; return -b; } template <class U, class T> -inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator * (const U& a, polynomial<T> b) +BOOST_MATH_GPU_ENABLED inline typename std::enable_if<std::is_constructible<T, U>::value, polynomial<T> >::type operator * (const U& a, polynomial<T> b) { b *= a; return b; } template <class T> -bool operator == (const polynomial<T> &a, const polynomial<T> &b) +BOOST_MATH_GPU_ENABLED bool operator == (const polynomial<T> &a, const polynomial<T> &b) { return a.data() == b.data(); } template <class T> -bool operator != (const polynomial<T> &a, const polynomial<T> &b) +BOOST_MATH_GPU_ENABLED bool operator != (const polynomial<T> &a, const polynomial<T> &b) { return a.data() != b.data(); } template <typename T, typename U> -polynomial<T> operator >> (polynomial<T> a, const U& b) +BOOST_MATH_GPU_ENABLED polynomial<T> operator >> (polynomial<T> a, const U& b) { a >>= b; return a; } template <typename T, typename U> -polynomial<T> operator << (polynomial<T> a, const U& b) +BOOST_MATH_GPU_ENABLED polynomial<T> operator << (polynomial<T> a, const U& b) { a <<= b; return a; @@ -795,26 +795,26 @@ polynomial<T> operator << (polynomial<T> a, const U& b) // Unary minus (negate). template <class T> -polynomial<T> operator - (polynomial<T> a) +BOOST_MATH_GPU_ENABLED polynomial<T> operator - (polynomial<T> a) { std::transform(a.data().begin(), a.data().end(), a.data().begin(), detail::negate()); return a; } template <class T> -bool odd(polynomial<T> const &a) +BOOST_MATH_GPU_ENABLED bool odd(polynomial<T> const &a) { return a.size() > 0 && a[0] != static_cast<T>(0); } template <class T> -bool even(polynomial<T> const &a) +BOOST_MATH_GPU_ENABLED bool even(polynomial<T> const &a) { return !odd(a); } template <class T> -polynomial<T> pow(polynomial<T> base, int exp) +BOOST_MATH_GPU_ENABLED polynomial<T> pow(polynomial<T> base, int exp) { if (exp < 0) return policies::raise_domain_error( @@ -838,7 +838,7 @@ polynomial<T> pow(polynomial<T> base, int exp) } template <class charT, class traits, class T> -inline std::basic_ostream<charT, traits>& operator << (std::basic_ostream<charT, traits>& os, const polynomial<T>& poly) +BOOST_MATH_GPU_ENABLED inline std::basic_ostream<charT, traits>& operator << (std::basic_ostream<charT, traits>& os, const polynomial<T>& poly) { os << "{ "; for(unsigned i = 0; i < poly.size(); ++i) diff --git a/contrib/restricted/boost/math/include/boost/math/tools/precision.hpp b/contrib/restricted/boost/math/include/boost/math/tools/precision.hpp index d1643e01d3..662657732c 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/precision.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/precision.hpp @@ -10,14 +10,20 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> #include <boost/math/tools/assert.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/numeric_limits.hpp> #include <boost/math/policies/policy.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC #include <type_traits> #include <limits> #include <climits> #include <cmath> #include <cstdint> #include <cfloat> // LDBL_MANT_DIG +#endif namespace boost{ namespace math { @@ -36,30 +42,30 @@ namespace tools // See Conceptual Requirements for Real Number Types. template <class T> -inline constexpr int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T)) noexcept +BOOST_MATH_GPU_ENABLED inline constexpr int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T)) noexcept { - static_assert( ::std::numeric_limits<T>::is_specialized, "Type T must be specialized"); - static_assert( ::std::numeric_limits<T>::radix == 2 || ::std::numeric_limits<T>::radix == 10, "Type T must have a radix of 2 or 10"); + static_assert( ::boost::math::numeric_limits<T>::is_specialized, "Type T must be specialized"); + static_assert( ::boost::math::numeric_limits<T>::radix == 2 || ::boost::math::numeric_limits<T>::radix == 10, "Type T must have a radix of 2 or 10"); - return std::numeric_limits<T>::radix == 2 - ? std::numeric_limits<T>::digits - : ((std::numeric_limits<T>::digits + 1) * 1000L) / 301L; + return boost::math::numeric_limits<T>::radix == 2 + ? boost::math::numeric_limits<T>::digits + : ((boost::math::numeric_limits<T>::digits + 1) * 1000L) / 301L; } template <class T> -inline constexpr T max_value(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T max_value(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(boost::math::is_floating_point<T>::value) { - static_assert( ::std::numeric_limits<T>::is_specialized, "Type T must be specialized"); - return (std::numeric_limits<T>::max)(); + static_assert( ::boost::math::numeric_limits<T>::is_specialized, "Type T must be specialized"); + return (boost::math::numeric_limits<T>::max)(); } // Also used as a finite 'infinite' value for - and +infinity, for example: // -max_value<double> = -1.79769e+308, max_value<double> = 1.79769e+308. template <class T> -inline constexpr T min_value(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T min_value(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(boost::math::is_floating_point<T>::value) { - static_assert( ::std::numeric_limits<T>::is_specialized, "Type T must be specialized"); + static_assert( ::boost::math::numeric_limits<T>::is_specialized, "Type T must be specialized"); - return (std::numeric_limits<T>::min)(); + return (boost::math::numeric_limits<T>::min)(); } namespace detail{ @@ -72,13 +78,13 @@ namespace detail{ // For type float first: // template <class T> -inline constexpr T log_max_value(const std::integral_constant<int, 128>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED constexpr T log_max_value(const boost::math::integral_constant<int, 128>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(boost::math::is_floating_point<T>::value) { return 88.0f; } template <class T> -inline constexpr T log_min_value(const std::integral_constant<int, 128>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED constexpr T log_min_value(const boost::math::integral_constant<int, 128>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(boost::math::is_floating_point<T>::value) { return -87.0f; } @@ -86,13 +92,13 @@ inline constexpr T log_min_value(const std::integral_constant<int, 128>& BOOST_M // Now double: // template <class T> -inline constexpr T log_max_value(const std::integral_constant<int, 1024>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED constexpr T log_max_value(const boost::math::integral_constant<int, 1024>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(boost::math::is_floating_point<T>::value) { return 709.0; } template <class T> -inline constexpr T log_min_value(const std::integral_constant<int, 1024>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED constexpr T log_min_value(const boost::math::integral_constant<int, 1024>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(boost::math::is_floating_point<T>::value) { return -708.0; } @@ -100,19 +106,19 @@ inline constexpr T log_min_value(const std::integral_constant<int, 1024>& BOOST_ // 80 and 128-bit long doubles: // template <class T> -inline constexpr T log_max_value(const std::integral_constant<int, 16384>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T log_max_value(const boost::math::integral_constant<int, 16384>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(boost::math::is_floating_point<T>::value) { return 11356.0L; } template <class T> -inline constexpr T log_min_value(const std::integral_constant<int, 16384>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T log_min_value(const boost::math::integral_constant<int, 16384>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(boost::math::is_floating_point<T>::value) { return -11355.0L; } template <class T> -inline T log_max_value(const std::integral_constant<int, 0>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) +BOOST_MATH_GPU_ENABLED inline T log_max_value(const boost::math::integral_constant<int, 0>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) { BOOST_MATH_STD_USING #ifdef __SUNPRO_CC @@ -125,7 +131,7 @@ inline T log_max_value(const std::integral_constant<int, 0>& BOOST_MATH_APPEND_E } template <class T> -inline T log_min_value(const std::integral_constant<int, 0>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) +BOOST_MATH_GPU_ENABLED inline T log_min_value(const boost::math::integral_constant<int, 0>& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) { BOOST_MATH_STD_USING #ifdef __SUNPRO_CC @@ -138,14 +144,14 @@ inline T log_min_value(const std::integral_constant<int, 0>& BOOST_MATH_APPEND_E } template <class T> -inline constexpr T epsilon(const std::true_type& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED constexpr T epsilon(const boost::math::true_type& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(boost::math::is_floating_point<T>::value) { - return std::numeric_limits<T>::epsilon(); + return boost::math::numeric_limits<T>::epsilon(); } #if defined(__GNUC__) && ((LDBL_MANT_DIG == 106) || (__LDBL_MANT_DIG__ == 106)) template <> -inline constexpr long double epsilon<long double>(const std::true_type& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(long double)) noexcept(std::is_floating_point<long double>::value) +BOOST_MATH_GPU_ENABLED inline constexpr long double epsilon<long double>(const boost::math::true_type& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(long double)) noexcept(boost::math::is_floating_point<long double>::value) { // numeric_limits on Darwin (and elsewhere) tells lies here: // the issue is that long double on a few platforms is @@ -164,7 +170,7 @@ inline constexpr long double epsilon<long double>(const std::true_type& BOOST_MA #endif template <class T> -inline T epsilon(const std::false_type& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) +BOOST_MATH_GPU_ENABLED inline T epsilon(const boost::math::false_type& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(T)) { // Note: don't cache result as precision may vary at runtime: BOOST_MATH_STD_USING // for ADL of std names @@ -174,23 +180,23 @@ inline T epsilon(const std::false_type& BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE template <class T> struct log_limit_traits { - typedef typename std::conditional< - (std::numeric_limits<T>::radix == 2) && - (std::numeric_limits<T>::max_exponent == 128 - || std::numeric_limits<T>::max_exponent == 1024 - || std::numeric_limits<T>::max_exponent == 16384), - std::integral_constant<int, (std::numeric_limits<T>::max_exponent > INT_MAX ? INT_MAX : static_cast<int>(std::numeric_limits<T>::max_exponent))>, - std::integral_constant<int, 0> + typedef typename boost::math::conditional< + (boost::math::numeric_limits<T>::radix == 2) && + (boost::math::numeric_limits<T>::max_exponent == 128 + || boost::math::numeric_limits<T>::max_exponent == 1024 + || boost::math::numeric_limits<T>::max_exponent == 16384), + boost::math::integral_constant<int, (boost::math::numeric_limits<T>::max_exponent > (boost::math::numeric_limits<int>::max)() ? (boost::math::numeric_limits<int>::max)() : static_cast<int>(boost::math::numeric_limits<T>::max_exponent))>, + boost::math::integral_constant<int, 0> >::type tag_type; static constexpr bool value = (tag_type::value != 0); - static_assert(::std::numeric_limits<T>::is_specialized || !value, "Type T must be specialized or equal to 0"); + static_assert(::boost::math::numeric_limits<T>::is_specialized || !value, "Type T must be specialized or equal to 0"); }; template <class T, bool b> struct log_limit_noexcept_traits_imp : public log_limit_traits<T> {}; -template <class T> struct log_limit_noexcept_traits_imp<T, false> : public std::integral_constant<bool, false> {}; +template <class T> struct log_limit_noexcept_traits_imp<T, false> : public boost::math::integral_constant<bool, false> {}; template <class T> -struct log_limit_noexcept_traits : public log_limit_noexcept_traits_imp<T, std::is_floating_point<T>::value> {}; +struct log_limit_noexcept_traits : public log_limit_noexcept_traits_imp<T, boost::math::is_floating_point<T>::value> {}; } // namespace detail @@ -200,28 +206,36 @@ struct log_limit_noexcept_traits : public log_limit_noexcept_traits_imp<T, std:: #endif template <class T> -inline constexpr T log_max_value(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(detail::log_limit_noexcept_traits<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T log_max_value(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(detail::log_limit_noexcept_traits<T>::value) { -#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS - return detail::log_max_value<T>(typename detail::log_limit_traits<T>::tag_type()); +#ifndef BOOST_MATH_HAS_NVRTC + #ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS + return detail::log_max_value<T>(typename detail::log_limit_traits<T>::tag_type()); + #else + BOOST_MATH_ASSERT(::boost::math::numeric_limits<T>::is_specialized); + BOOST_MATH_STD_USING + static const T val = log((boost::math::numeric_limits<T>::max)()); + return val; + #endif #else - BOOST_MATH_ASSERT(::std::numeric_limits<T>::is_specialized); - BOOST_MATH_STD_USING - static const T val = log((std::numeric_limits<T>::max)()); - return val; + return log((boost::math::numeric_limits<T>::max)()); #endif } template <class T> -inline constexpr T log_min_value(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(detail::log_limit_noexcept_traits<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T log_min_value(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept(detail::log_limit_noexcept_traits<T>::value) { -#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS - return detail::log_min_value<T>(typename detail::log_limit_traits<T>::tag_type()); +#ifndef BOOST_MATH_HAS_NVRTC + #ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS + return detail::log_min_value<T>(typename detail::log_limit_traits<T>::tag_type()); + #else + BOOST_MATH_ASSERT(::boost::math::numeric_limits<T>::is_specialized); + BOOST_MATH_STD_USING + static const T val = log((boost::math::numeric_limits<T>::min)()); + return val; + #endif #else - BOOST_MATH_ASSERT(::std::numeric_limits<T>::is_specialized); - BOOST_MATH_STD_USING - static const T val = log((std::numeric_limits<T>::min)()); - return val; + return log((boost::math::numeric_limits<T>::min)()); #endif } @@ -230,84 +244,89 @@ inline constexpr T log_min_value(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) noexcept( #endif template <class T> -inline constexpr T epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T)) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED constexpr T epsilon(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(T)) noexcept(boost::math::is_floating_point<T>::value) { -#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS - return detail::epsilon<T>(std::integral_constant<bool, ::std::numeric_limits<T>::is_specialized>()); + // NVRTC does not like this dispatching method so we just skip to where we want to go +#ifndef BOOST_MATH_HAS_NVRTC + #ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS + return detail::epsilon<T>(boost::math::integral_constant<bool, ::boost::math::numeric_limits<T>::is_specialized>()); + #else + return ::boost::math::numeric_limits<T>::is_specialized ? + detail::epsilon<T>(boost::math::true_type()) : + detail::epsilon<T>(boost::math::false_type()); + #endif #else - return ::std::numeric_limits<T>::is_specialized ? - detail::epsilon<T>(std::true_type()) : - detail::epsilon<T>(std::false_type()); + return boost::math::numeric_limits<T>::epsilon(); #endif } namespace detail{ template <class T> -inline constexpr T root_epsilon_imp(const std::integral_constant<int, 24>&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T root_epsilon_imp(const boost::math::integral_constant<int, 24>&) noexcept(boost::math::is_floating_point<T>::value) { return static_cast<T>(0.00034526698300124390839884978618400831996329879769945L); } template <class T> -inline constexpr T root_epsilon_imp(const T*, const std::integral_constant<int, 53>&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T root_epsilon_imp(const T*, const boost::math::integral_constant<int, 53>&) noexcept(boost::math::is_floating_point<T>::value) { return static_cast<T>(0.1490116119384765625e-7L); } template <class T> -inline constexpr T root_epsilon_imp(const T*, const std::integral_constant<int, 64>&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T root_epsilon_imp(const T*, const boost::math::integral_constant<int, 64>&) noexcept(boost::math::is_floating_point<T>::value) { return static_cast<T>(0.32927225399135962333569506281281311031656150598474e-9L); } template <class T> -inline constexpr T root_epsilon_imp(const T*, const std::integral_constant<int, 113>&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T root_epsilon_imp(const T*, const boost::math::integral_constant<int, 113>&) noexcept(boost::math::is_floating_point<T>::value) { return static_cast<T>(0.1387778780781445675529539585113525390625e-16L); } template <class T, class Tag> -inline T root_epsilon_imp(const T*, const Tag&) +BOOST_MATH_GPU_ENABLED inline T root_epsilon_imp(const T*, const Tag&) { BOOST_MATH_STD_USING - static const T r_eps = sqrt(tools::epsilon<T>()); + BOOST_MATH_STATIC_LOCAL_VARIABLE const T r_eps = sqrt(tools::epsilon<T>()); return r_eps; } template <class T> -inline T root_epsilon_imp(const T*, const std::integral_constant<int, 0>&) +BOOST_MATH_GPU_ENABLED inline T root_epsilon_imp(const T*, const boost::math::integral_constant<int, 0>&) { BOOST_MATH_STD_USING return sqrt(tools::epsilon<T>()); } template <class T> -inline constexpr T cbrt_epsilon_imp(const std::integral_constant<int, 24>&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T cbrt_epsilon_imp(const boost::math::integral_constant<int, 24>&) noexcept(boost::math::is_floating_point<T>::value) { return static_cast<T>(0.0049215666011518482998719164346805794944150447839903L); } template <class T> -inline constexpr T cbrt_epsilon_imp(const T*, const std::integral_constant<int, 53>&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T cbrt_epsilon_imp(const T*, const boost::math::integral_constant<int, 53>&) noexcept(boost::math::is_floating_point<T>::value) { return static_cast<T>(6.05545445239333906078989272793696693569753008995e-6L); } template <class T> -inline constexpr T cbrt_epsilon_imp(const T*, const std::integral_constant<int, 64>&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T cbrt_epsilon_imp(const T*, const boost::math::integral_constant<int, 64>&) noexcept(boost::math::is_floating_point<T>::value) { return static_cast<T>(4.76837158203125e-7L); } template <class T> -inline constexpr T cbrt_epsilon_imp(const T*, const std::integral_constant<int, 113>&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T cbrt_epsilon_imp(const T*, const boost::math::integral_constant<int, 113>&) noexcept(boost::math::is_floating_point<T>::value) { return static_cast<T>(5.7749313854154005630396773604745549542403508090496e-12L); } template <class T, class Tag> -inline T cbrt_epsilon_imp(const T*, const Tag&) +BOOST_MATH_GPU_ENABLED inline T cbrt_epsilon_imp(const T*, const Tag&) { BOOST_MATH_STD_USING; static const T cbrt_eps = pow(tools::epsilon<T>(), T(1) / 3); @@ -315,38 +334,38 @@ inline T cbrt_epsilon_imp(const T*, const Tag&) } template <class T> -inline T cbrt_epsilon_imp(const T*, const std::integral_constant<int, 0>&) +BOOST_MATH_GPU_ENABLED inline T cbrt_epsilon_imp(const T*, const boost::math::integral_constant<int, 0>&) { BOOST_MATH_STD_USING; return pow(tools::epsilon<T>(), T(1) / 3); } template <class T> -inline constexpr T forth_root_epsilon_imp(const T*, const std::integral_constant<int, 24>&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T forth_root_epsilon_imp(const T*, const boost::math::integral_constant<int, 24>&) noexcept(boost::math::is_floating_point<T>::value) { return static_cast<T>(0.018581361171917516667460937040007436176452688944747L); } template <class T> -inline constexpr T forth_root_epsilon_imp(const T*, const std::integral_constant<int, 53>&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T forth_root_epsilon_imp(const T*, const boost::math::integral_constant<int, 53>&) noexcept(boost::math::is_floating_point<T>::value) { return static_cast<T>(0.0001220703125L); } template <class T> -inline constexpr T forth_root_epsilon_imp(const T*, const std::integral_constant<int, 64>&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T forth_root_epsilon_imp(const T*, const boost::math::integral_constant<int, 64>&) noexcept(boost::math::is_floating_point<T>::value) { return static_cast<T>(0.18145860519450699870567321328132261891067079047605e-4L); } template <class T> -inline constexpr T forth_root_epsilon_imp(const T*, const std::integral_constant<int, 113>&) noexcept(std::is_floating_point<T>::value) +BOOST_MATH_GPU_ENABLED inline constexpr T forth_root_epsilon_imp(const T*, const boost::math::integral_constant<int, 113>&) noexcept(boost::math::is_floating_point<T>::value) { return static_cast<T>(0.37252902984619140625e-8L); } template <class T, class Tag> -inline T forth_root_epsilon_imp(const T*, const Tag&) +BOOST_MATH_GPU_ENABLED inline T forth_root_epsilon_imp(const T*, const Tag&) { BOOST_MATH_STD_USING static const T r_eps = sqrt(sqrt(tools::epsilon<T>())); @@ -354,7 +373,7 @@ inline T forth_root_epsilon_imp(const T*, const Tag&) } template <class T> -inline T forth_root_epsilon_imp(const T*, const std::integral_constant<int, 0>&) +BOOST_MATH_GPU_ENABLED inline T forth_root_epsilon_imp(const T*, const boost::math::integral_constant<int, 0>&) { BOOST_MATH_STD_USING return sqrt(sqrt(tools::epsilon<T>())); @@ -363,26 +382,26 @@ inline T forth_root_epsilon_imp(const T*, const std::integral_constant<int, 0>&) template <class T> struct root_epsilon_traits { - typedef std::integral_constant<int, (::std::numeric_limits<T>::radix == 2) && (::std::numeric_limits<T>::digits != INT_MAX) ? std::numeric_limits<T>::digits : 0> tag_type; + typedef boost::math::integral_constant<int, (::boost::math::numeric_limits<T>::radix == 2) && (::boost::math::numeric_limits<T>::digits != (boost::math::numeric_limits<int>::max)()) ? boost::math::numeric_limits<T>::digits : 0> tag_type; static constexpr bool has_noexcept = (tag_type::value == 113) || (tag_type::value == 64) || (tag_type::value == 53) || (tag_type::value == 24); }; } template <class T> -inline constexpr T root_epsilon() noexcept(std::is_floating_point<T>::value && detail::root_epsilon_traits<T>::has_noexcept) +BOOST_MATH_GPU_ENABLED inline constexpr T root_epsilon() noexcept(boost::math::is_floating_point<T>::value && detail::root_epsilon_traits<T>::has_noexcept) { return detail::root_epsilon_imp(static_cast<T const*>(nullptr), typename detail::root_epsilon_traits<T>::tag_type()); } template <class T> -inline constexpr T cbrt_epsilon() noexcept(std::is_floating_point<T>::value && detail::root_epsilon_traits<T>::has_noexcept) +BOOST_MATH_GPU_ENABLED inline constexpr T cbrt_epsilon() noexcept(boost::math::is_floating_point<T>::value && detail::root_epsilon_traits<T>::has_noexcept) { return detail::cbrt_epsilon_imp(static_cast<T const*>(nullptr), typename detail::root_epsilon_traits<T>::tag_type()); } template <class T> -inline constexpr T forth_root_epsilon() noexcept(std::is_floating_point<T>::value && detail::root_epsilon_traits<T>::has_noexcept) +BOOST_MATH_GPU_ENABLED inline constexpr T forth_root_epsilon() noexcept(boost::math::is_floating_point<T>::value && detail::root_epsilon_traits<T>::has_noexcept) { return detail::forth_root_epsilon_imp(static_cast<T const*>(nullptr), typename detail::root_epsilon_traits<T>::tag_type()); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/promotion.hpp b/contrib/restricted/boost/math/include/boost/math/tools/promotion.hpp index 2c2d55b401..a65f3703f4 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/promotion.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/promotion.hpp @@ -3,6 +3,7 @@ // Copyright John Maddock 2006. // Copyright Paul A. Bristow 2006. // Copyright Matt Borland 2023. +// Copyright Ryan Elandt 2023. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. @@ -24,15 +25,7 @@ #endif #include <boost/math/tools/config.hpp> -#include <type_traits> - -#if defined __has_include -# if __cplusplus > 202002L || (defined(_MSVC_LANG) && _MSVC_LANG > 202002L) -# if __has_include (<stdfloat>) -# error #include <stdfloat> -# endif -# endif -#endif +#include <boost/math/tools/type_traits.hpp> namespace boost { @@ -40,272 +33,103 @@ namespace boost { namespace tools { + ///// This promotion system works as follows: + // + // Rule<T1> (one argument promotion rule): + // - Promotes `T` to `double` if `T` is an integer type as identified by + // `std::is_integral`, otherwise is `T` + // + // Rule<T1, T2_to_TN...> (two or more argument promotion rule): + // - 1. Calculates type using applying Rule<T1>. + // - 2. Calculates type using applying Rule<T2_to_TN...> + // - If the type calculated in 1 and 2 are both floating point types, as + // identified by `std::is_floating_point`, then return the type + // determined by `std::common_type`. Otherwise return the type using + // an asymmetric convertibility rule. + // + ///// Discussion: + // // If either T1 or T2 is an integer type, // pretend it was a double (for the purposes of further analysis). // Then pick the wider of the two floating-point types // as the actual signature to forward to. // For example: - // foo(int, short) -> double foo(double, double); - // foo(int, float) -> double foo(double, double); - // Note: NOT float foo(float, float) - // foo(int, double) -> foo(double, double); - // foo(double, float) -> double foo(double, double); - // foo(double, float) -> double foo(double, double); - // foo(any-int-or-float-type, long double) -> foo(long double, long double); - // but ONLY float foo(float, float) is unchanged. - // So the only way to get an entirely float version is to call foo(1.F, 2.F), - // But since most (all?) the math functions convert to double internally, - // probably there would not be the hoped-for gain by using float here. - + // foo(int, short) -> double foo(double, double); // ***NOT*** float foo(float, float) + // foo(int, float) -> double foo(double, double); // ***NOT*** float foo(float, float) + // foo(int, double) -> foo(double, double); + // foo(double, float) -> double foo(double, double); + // foo(double, float) -> double foo(double, double); + // foo(any-int-or-float-type, long double) -> foo(long double, long double); + // ONLY float foo(float, float) is unchanged, so the only way to get an + // entirely float version is to call foo(1.F, 2.F). But since most (all?) the + // math functions convert to double internally, probably there would not be the + // hoped-for gain by using float here. + // // This follows the C-compatible conversion rules of pow, etc // where pow(int, float) is converted to pow(double, double). + + // Promotes a single argument to double if it is an integer type template <class T> - struct promote_arg - { // If T is integral type, then promote to double. - using type = typename std::conditional<std::is_integral<T>::value, double, T>::type; + struct promote_arg { + using type = typename boost::math::conditional<boost::math::is_integral<T>::value, double, T>::type; }; - // These full specialisations reduce std::conditional usage and speed up - // compilation: - template <> struct promote_arg<float> { using type = float; }; - template <> struct promote_arg<double>{ using type = double; }; - template <> struct promote_arg<long double> { using type = long double; }; - template <> struct promote_arg<int> { using type = double; }; - #ifdef __STDCPP_FLOAT16_T__ - template <> struct promote_arg<std::float16_t> { using type = std::float16_t; }; - #endif - #ifdef __STDCPP_FLOAT32_T__ - template <> struct promote_arg<std::float32_t> { using type = std::float32_t; }; - #endif - #ifdef __STDCPP_FLOAT64_T__ - template <> struct promote_arg<std::float64_t> { using type = std::float64_t; }; - #endif - #ifdef __STDCPP_FLOAT128_T__ - template <> struct promote_arg<std::float128_t> { using type = std::float128_t; }; - #endif - - template <typename T> - using promote_arg_t = typename promote_arg<T>::type; + // Promotes two arguments, neither of which is an integer type using an asymmetric + // convertibility rule. + template <class T1, class T2, bool = (boost::math::is_floating_point<T1>::value && boost::math::is_floating_point<T2>::value)> + struct pa2_integral_already_removed { + using type = typename boost::math::conditional< + !boost::math::is_floating_point<T2>::value && boost::math::is_convertible<T1, T2>::value, + T2, T1>::type; + }; + // For two floating point types, promotes using `std::common_type` functionality template <class T1, class T2> - struct promote_args_2 - { // Promote, if necessary, & pick the wider of the two floating-point types. - // for both parameter types, if integral promote to double. - using T1P = typename promote_arg<T1>::type; // T1 perhaps promoted. - using T2P = typename promote_arg<T2>::type; // T2 perhaps promoted. - using intermediate_type = typename std::conditional< - std::is_floating_point<T1P>::value && std::is_floating_point<T2P>::value, // both T1P and T2P are floating-point? -#ifdef __STDCPP_FLOAT128_T__ - typename std::conditional<std::is_same<std::float128_t, T1P>::value || std::is_same<std::float128_t, T2P>::value, // either long double? - std::float128_t, -#endif -#ifdef BOOST_MATH_USE_FLOAT128 - typename std::conditional<std::is_same<__float128, T1P>::value || std::is_same<__float128, T2P>::value, // either long double? - __float128, -#endif - typename std::conditional<std::is_same<long double, T1P>::value || std::is_same<long double, T2P>::value, // either long double? - long double, // then result type is long double. -#ifdef __STDCPP_FLOAT64_T__ - typename std::conditional<std::is_same<std::float64_t, T1P>::value || std::is_same<std::float64_t, T2P>::value, // either float64? - std::float64_t, // then result type is float64_t. -#endif - typename std::conditional<std::is_same<double, T1P>::value || std::is_same<double, T2P>::value, // either double? - double, // result type is double. -#ifdef __STDCPP_FLOAT32_T__ - typename std::conditional<std::is_same<std::float32_t, T1P>::value || std::is_same<std::float32_t, T2P>::value, // either float32? - std::float32_t, // then result type is float32_t. -#endif - float // else result type is float. - >::type -#ifdef BOOST_MATH_USE_FLOAT128 - >::type -#endif -#ifdef __STDCPP_FLOAT128_T__ - >::type -#endif -#ifdef __STDCPP_FLOAT64_T__ - >::type -#endif -#ifdef __STDCPP_FLOAT32_T__ - >::type -#endif - >::type, - // else one or the other is a user-defined type: - typename std::conditional<!std::is_floating_point<T2P>::value && std::is_convertible<T1P, T2P>::value, T2P, T1P>::type>::type; - -#ifdef __STDCPP_FLOAT64_T__ - // If long doubles are doubles then we should prefer to use std::float64_t when available - using type = std::conditional_t<(sizeof(double) == sizeof(long double) && std::is_same<intermediate_type, long double>::value), std::float64_t, intermediate_type>; -#else - using type = intermediate_type; -#endif - }; // promote_arg2 - // These full specialisations reduce std::conditional usage and speed up - // compilation: - template <> struct promote_args_2<float, float> { using type = float; }; - template <> struct promote_args_2<double, double>{ using type = double; }; - template <> struct promote_args_2<long double, long double> { using type = long double; }; - template <> struct promote_args_2<int, int> { using type = double; }; - template <> struct promote_args_2<int, float> { using type = double; }; - template <> struct promote_args_2<float, int> { using type = double; }; - template <> struct promote_args_2<int, double> { using type = double; }; - template <> struct promote_args_2<double, int> { using type = double; }; - template <> struct promote_args_2<int, long double> { using type = long double; }; - template <> struct promote_args_2<long double, int> { using type = long double; }; - template <> struct promote_args_2<float, double> { using type = double; }; - template <> struct promote_args_2<double, float> { using type = double; }; - template <> struct promote_args_2<float, long double> { using type = long double; }; - template <> struct promote_args_2<long double, float> { using type = long double; }; - template <> struct promote_args_2<double, long double> { using type = long double; }; - template <> struct promote_args_2<long double, double> { using type = long double; }; - - #ifdef __STDCPP_FLOAT128_T__ - template <> struct promote_args_2<int, std::float128_t> { using type = std::float128_t; }; - template <> struct promote_args_2<std::float128_t, int> { using type = std::float128_t; }; - template <> struct promote_args_2<std::float128_t, float> { using type = std::float128_t; }; - template <> struct promote_args_2<float, std::float128_t> { using type = std::float128_t; }; - template <> struct promote_args_2<std::float128_t, double> { using type = std::float128_t; }; - template <> struct promote_args_2<double, std::float128_t> { using type = std::float128_t; }; - template <> struct promote_args_2<std::float128_t, long double> { using type = std::float128_t; }; - template <> struct promote_args_2<long double, std::float128_t> { using type = std::float128_t; }; - - #ifdef __STDCPP_FLOAT16_T__ - template <> struct promote_args_2<std::float128_t, std::float16_t> { using type = std::float128_t; }; - template <> struct promote_args_2<std::float16_t, std::float128_t> { using type = std::float128_t; }; - #endif - - #ifdef __STDCPP_FLOAT32_T__ - template <> struct promote_args_2<std::float128_t, std::float32_t> { using type = std::float128_t; }; - template <> struct promote_args_2<std::float32_t, std::float128_t> { using type = std::float128_t; }; - #endif - - #ifdef __STDCPP_FLOAT64_T__ - template <> struct promote_args_2<std::float128_t, std::float64_t> { using type = std::float128_t; }; - template <> struct promote_args_2<std::float64_t, std::float128_t> { using type = std::float128_t; }; - #endif - - template <> struct promote_args_2<std::float128_t, std::float128_t> { using type = std::float128_t; }; - #endif - - #ifdef __STDCPP_FLOAT64_T__ - template <> struct promote_args_2<int, std::float64_t> { using type = std::float64_t; }; - template <> struct promote_args_2<std::float64_t, int> { using type = std::float64_t; }; - template <> struct promote_args_2<std::float64_t, float> { using type = std::float64_t; }; - template <> struct promote_args_2<float, std::float64_t> { using type = std::float64_t; }; - template <> struct promote_args_2<std::float64_t, double> { using type = std::float64_t; }; - template <> struct promote_args_2<double, std::float64_t> { using type = std::float64_t; }; - template <> struct promote_args_2<std::float64_t, long double> { using type = long double; }; - template <> struct promote_args_2<long double, std::float64_t> { using type = long double; }; - - #ifdef __STDCPP_FLOAT16_T__ - template <> struct promote_args_2<std::float64_t, std::float16_t> { using type = std::float64_t; }; - template <> struct promote_args_2<std::float16_t, std::float64_t> { using type = std::float64_t; }; - #endif - - #ifdef __STDCPP_FLOAT32_T__ - template <> struct promote_args_2<std::float64_t, std::float32_t> { using type = std::float64_t; }; - template <> struct promote_args_2<std::float32_t, std::float64_t> { using type = std::float64_t; }; - #endif - - template <> struct promote_args_2<std::float64_t, std::float64_t> { using type = std::float64_t; }; - #endif - - #ifdef __STDCPP_FLOAT32_T__ - template <> struct promote_args_2<int, std::float32_t> { using type = std::float32_t; }; - template <> struct promote_args_2<std::float32_t, int> { using type = std::float32_t; }; - template <> struct promote_args_2<std::float32_t, float> { using type = std::float32_t; }; - template <> struct promote_args_2<float, std::float32_t> { using type = std::float32_t; }; - template <> struct promote_args_2<std::float32_t, double> { using type = double; }; - template <> struct promote_args_2<double, std::float32_t> { using type = double; }; - template <> struct promote_args_2<std::float32_t, long double> { using type = long double; }; - template <> struct promote_args_2<long double, std::float32_t> { using type = long double; }; - - #ifdef __STDCPP_FLOAT16_T__ - template <> struct promote_args_2<std::float32_t, std::float16_t> { using type = std::float32_t; }; - template <> struct promote_args_2<std::float16_t, std::float32_t> { using type = std::float32_t; }; - #endif - - template <> struct promote_args_2<std::float32_t, std::float32_t> { using type = std::float32_t; }; - #endif + struct pa2_integral_already_removed<T1, T2, true> { + using type = boost::math::common_type_t<T1, T2, float>; + }; - #ifdef __STDCPP_FLOAT16_T__ - template <> struct promote_args_2<int, std::float16_t> { using type = std::float16_t; }; - template <> struct promote_args_2<std::float16_t, int> { using type = std::float16_t; }; - template <> struct promote_args_2<std::float16_t, float> { using type = float; }; - template <> struct promote_args_2<float, std::float16_t> { using type = float; }; - template <> struct promote_args_2<std::float16_t, double> { using type = double; }; - template <> struct promote_args_2<double, std::float16_t> { using type = double; }; - template <> struct promote_args_2<std::float16_t, long double> { using type = long double; }; - template <> struct promote_args_2<long double, std::float16_t> { using type = long double; }; - template <> struct promote_args_2<std::float16_t, std::float16_t> { using type = std::float16_t; }; - #endif + // Template definition for promote_args_permissive + template <typename... Args> + struct promote_args_permissive; + // Specialization for one argument + template <typename T> + struct promote_args_permissive<T> { + using type = typename promote_arg<typename boost::math::remove_cv<T>::type>::type; + }; + // Specialization for two or more arguments + template <typename T1, typename... T2_to_TN> + struct promote_args_permissive<T1, T2_to_TN...> { + using type = typename pa2_integral_already_removed< + typename promote_args_permissive<T1>::type, + typename promote_args_permissive<T2_to_TN...>::type + >::type; + }; - template <typename T, typename U> - using promote_args_2_t = typename promote_args_2<T, U>::type; + template <class... Args> + using promote_args_permissive_t = typename promote_args_permissive<Args...>::type; - template <class T1, class T2=float, class T3=float, class T4=float, class T5=float, class T6=float> - struct promote_args - { - using type = typename promote_args_2< - typename std::remove_cv<T1>::type, - typename promote_args_2< - typename std::remove_cv<T2>::type, - typename promote_args_2< - typename std::remove_cv<T3>::type, - typename promote_args_2< - typename std::remove_cv<T4>::type, - typename promote_args_2< - typename std::remove_cv<T5>::type, typename std::remove_cv<T6>::type - >::type - >::type - >::type - >::type - >::type; + // Same as `promote_args_permissive` but with a static assertion that the promoted type + // is not `long double` if `BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS` is defined + template <class... Args> + struct promote_args { + using type = typename promote_args_permissive<Args...>::type; #if defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS) // // Guard against use of long double if it's not supported: // - static_assert((0 == std::is_same<type, long double>::value), "Sorry, but this platform does not have sufficient long double support for the special functions to be reliably implemented."); + static_assert((0 == boost::math::is_same<type, long double>::value), "Sorry, but this platform does not have sufficient long double support for the special functions to be reliably implemented."); #endif }; - template <class T1, class T2=float, class T3=float, class T4=float, class T5=float, class T6=float> - using promote_args_t = typename promote_args<T1, T2, T3, T4, T5, T6>::type; - - // - // This struct is the same as above, but has no static assert on long double usage, - // it should be used only on functions that can be implemented for long double - // even when std lib support is missing or broken for that type. - // - template <class T1, class T2=float, class T3=float, class T4=float, class T5=float, class T6=float> - struct promote_args_permissive - { - using type = typename promote_args_2< - typename std::remove_cv<T1>::type, - typename promote_args_2< - typename std::remove_cv<T2>::type, - typename promote_args_2< - typename std::remove_cv<T3>::type, - typename promote_args_2< - typename std::remove_cv<T4>::type, - typename promote_args_2< - typename std::remove_cv<T5>::type, typename std::remove_cv<T6>::type - >::type - >::type - >::type - >::type - >::type; - }; - - template <class T1, class T2=float, class T3=float, class T4=float, class T5=float, class T6=float> - using promote_args_permissive_t = typename promote_args_permissive<T1, T2, T3, T4, T5, T6>::type; + template <class... Args> + using promote_args_t = typename promote_args<Args...>::type; } // namespace tools } // namespace math } // namespace boost #endif // BOOST_MATH_PROMOTION_HPP - diff --git a/contrib/restricted/boost/math/include/boost/math/tools/rational.hpp b/contrib/restricted/boost/math/include/boost/math/tools/rational.hpp index 69b7251539..a535abcdc5 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/rational.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/rational.hpp @@ -10,9 +10,14 @@ #pragma once #endif -#include <array> #include <boost/math/tools/config.hpp> #include <boost/math/tools/assert.hpp> +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/cstdint.hpp> + +#ifndef BOOST_MATH_HAS_NVRTC +#include <array> +#endif #if BOOST_MATH_POLY_METHOD == 1 # define BOOST_HEADER() <BOOST_MATH_JOIN(boost/math/tools/detail/polynomial_horner1_, BOOST_MATH_MAX_POLY_ORDER).hpp> @@ -168,12 +173,12 @@ namespace boost{ namespace math{ namespace tools{ // Forward declaration to keep two phase lookup happy: // template <class T, class U> -U evaluate_polynomial(const T* poly, U const& z, std::size_t count) BOOST_MATH_NOEXCEPT(U); +BOOST_MATH_GPU_ENABLED U evaluate_polynomial(const T* poly, U const& z, boost::math::size_t count) BOOST_MATH_NOEXCEPT(U); namespace detail{ template <class T, class V, class Tag> -inline V evaluate_polynomial_c_imp(const T* a, const V& val, const Tag*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial_c_imp(const T* a, const V& val, const Tag*) BOOST_MATH_NOEXCEPT(V) { return evaluate_polynomial(a, val, Tag::value); } @@ -186,7 +191,7 @@ inline V evaluate_polynomial_c_imp(const T* a, const V& val, const Tag*) BOOST_M // the loop expanded versions above: // template <class T, class U> -inline U evaluate_polynomial(const T* poly, U const& z, std::size_t count) BOOST_MATH_NOEXCEPT(U) +BOOST_MATH_GPU_ENABLED inline U evaluate_polynomial(const T* poly, U const& z, boost::math::size_t count) BOOST_MATH_NOEXCEPT(U) { BOOST_MATH_ASSERT(count > 0); U sum = static_cast<U>(poly[count - 1]); @@ -201,69 +206,75 @@ inline U evaluate_polynomial(const T* poly, U const& z, std::size_t count) BOOST // Compile time sized polynomials, just inline forwarders to the // implementations above: // -template <std::size_t N, class T, class V> -inline V evaluate_polynomial(const T(&a)[N], const V& val) BOOST_MATH_NOEXCEPT(V) +template <boost::math::size_t N, class T, class V> +BOOST_MATH_GPU_ENABLED BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial(const T(&a)[N], const V& val) BOOST_MATH_NOEXCEPT(V) { - typedef std::integral_constant<int, N> tag_type; + typedef boost::math::integral_constant<int, N> tag_type; return detail::evaluate_polynomial_c_imp(static_cast<const T*>(a), val, static_cast<tag_type const*>(nullptr)); } -template <std::size_t N, class T, class V> -inline V evaluate_polynomial(const std::array<T,N>& a, const V& val) BOOST_MATH_NOEXCEPT(V) +#ifndef BOOST_MATH_HAS_NVRTC +template <boost::math::size_t N, class T, class V> +BOOST_MATH_GPU_ENABLED BOOST_MATH_GPU_ENABLED inline V evaluate_polynomial(const std::array<T,N>& a, const V& val) BOOST_MATH_NOEXCEPT(V) { - typedef std::integral_constant<int, N> tag_type; + typedef boost::math::integral_constant<int, N> tag_type; return detail::evaluate_polynomial_c_imp(static_cast<const T*>(a.data()), val, static_cast<tag_type const*>(nullptr)); } +#endif // // Even polynomials are trivial: just square the argument! // template <class T, class U> -inline U evaluate_even_polynomial(const T* poly, U z, std::size_t count) BOOST_MATH_NOEXCEPT(U) +BOOST_MATH_GPU_ENABLED inline U evaluate_even_polynomial(const T* poly, U z, boost::math::size_t count) BOOST_MATH_NOEXCEPT(U) { return evaluate_polynomial(poly, U(z*z), count); } -template <std::size_t N, class T, class V> -inline V evaluate_even_polynomial(const T(&a)[N], const V& z) BOOST_MATH_NOEXCEPT(V) +template <boost::math::size_t N, class T, class V> +BOOST_MATH_GPU_ENABLED BOOST_MATH_GPU_ENABLED inline V evaluate_even_polynomial(const T(&a)[N], const V& z) BOOST_MATH_NOEXCEPT(V) { return evaluate_polynomial(a, V(z*z)); } -template <std::size_t N, class T, class V> -inline V evaluate_even_polynomial(const std::array<T,N>& a, const V& z) BOOST_MATH_NOEXCEPT(V) +#ifndef BOOST_MATH_HAS_NVRTC +template <boost::math::size_t N, class T, class V> +BOOST_MATH_GPU_ENABLED BOOST_MATH_GPU_ENABLED inline V evaluate_even_polynomial(const std::array<T,N>& a, const V& z) BOOST_MATH_NOEXCEPT(V) { return evaluate_polynomial(a, V(z*z)); } +#endif // // Odd polynomials come next: // template <class T, class U> -inline U evaluate_odd_polynomial(const T* poly, U z, std::size_t count) BOOST_MATH_NOEXCEPT(U) +BOOST_MATH_GPU_ENABLED inline U evaluate_odd_polynomial(const T* poly, U z, boost::math::size_t count) BOOST_MATH_NOEXCEPT(U) { return poly[0] + z * evaluate_polynomial(poly+1, U(z*z), count-1); } -template <std::size_t N, class T, class V> -inline V evaluate_odd_polynomial(const T(&a)[N], const V& z) BOOST_MATH_NOEXCEPT(V) +template <boost::math::size_t N, class T, class V> +BOOST_MATH_GPU_ENABLED BOOST_MATH_GPU_ENABLED inline V evaluate_odd_polynomial(const T(&a)[N], const V& z) BOOST_MATH_NOEXCEPT(V) { - typedef std::integral_constant<int, N-1> tag_type; + typedef boost::math::integral_constant<int, N-1> tag_type; return a[0] + z * detail::evaluate_polynomial_c_imp(static_cast<const T*>(a) + 1, V(z*z), static_cast<tag_type const*>(nullptr)); } -template <std::size_t N, class T, class V> -inline V evaluate_odd_polynomial(const std::array<T,N>& a, const V& z) BOOST_MATH_NOEXCEPT(V) +#ifndef BOOST_MATH_HAS_NVRTC +template <boost::math::size_t N, class T, class V> +BOOST_MATH_GPU_ENABLED BOOST_MATH_GPU_ENABLED inline V evaluate_odd_polynomial(const std::array<T,N>& a, const V& z) BOOST_MATH_NOEXCEPT(V) { - typedef std::integral_constant<int, N-1> tag_type; + typedef boost::math::integral_constant<int, N-1> tag_type; return a[0] + z * detail::evaluate_polynomial_c_imp(static_cast<const T*>(a.data()) + 1, V(z*z), static_cast<tag_type const*>(nullptr)); } +#endif template <class T, class U, class V> -V evaluate_rational(const T* num, const U* denom, const V& z_, std::size_t count) BOOST_MATH_NOEXCEPT(V); +BOOST_MATH_GPU_ENABLED V evaluate_rational(const T* num, const U* denom, const V& z_, boost::math::size_t count) BOOST_MATH_NOEXCEPT(V); namespace detail{ template <class T, class U, class V, class Tag> -inline V evaluate_rational_c_imp(const T* num, const U* denom, const V& z, const Tag*) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED BOOST_MATH_GPU_ENABLED inline V evaluate_rational_c_imp(const T* num, const U* denom, const V& z, const Tag*) BOOST_MATH_NOEXCEPT(V) { return boost::math::tools::evaluate_rational(num, denom, z, Tag::value); } @@ -278,7 +289,7 @@ inline V evaluate_rational_c_imp(const T* num, const U* denom, const V& z, const // in our Lanczos code for example. // template <class T, class U, class V> -V evaluate_rational(const T* num, const U* denom, const V& z_, std::size_t count) BOOST_MATH_NOEXCEPT(V) +BOOST_MATH_GPU_ENABLED V evaluate_rational(const T* num, const U* denom, const V& z_, boost::math::size_t count) BOOST_MATH_NOEXCEPT(V) { V z(z_); V s1, s2; @@ -310,17 +321,19 @@ V evaluate_rational(const T* num, const U* denom, const V& z_, std::size_t count return s1 / s2; } -template <std::size_t N, class T, class U, class V> -inline V evaluate_rational(const T(&a)[N], const U(&b)[N], const V& z) BOOST_MATH_NOEXCEPT(V) +template <boost::math::size_t N, class T, class U, class V> +BOOST_MATH_GPU_ENABLED BOOST_MATH_GPU_ENABLED inline V evaluate_rational(const T(&a)[N], const U(&b)[N], const V& z) BOOST_MATH_NOEXCEPT(V) { - return detail::evaluate_rational_c_imp(a, b, z, static_cast<const std::integral_constant<int, N>*>(nullptr)); + return detail::evaluate_rational_c_imp(a, b, z, static_cast<const boost::math::integral_constant<int, N>*>(nullptr)); } -template <std::size_t N, class T, class U, class V> -inline V evaluate_rational(const std::array<T,N>& a, const std::array<U,N>& b, const V& z) BOOST_MATH_NOEXCEPT(V) +#ifndef BOOST_MATH_HAS_NVRTC +template <boost::math::size_t N, class T, class U, class V> +BOOST_MATH_GPU_ENABLED BOOST_MATH_GPU_ENABLED inline V evaluate_rational(const std::array<T,N>& a, const std::array<U,N>& b, const V& z) BOOST_MATH_NOEXCEPT(V) { - return detail::evaluate_rational_c_imp(a.data(), b.data(), z, static_cast<std::integral_constant<int, N>*>(nullptr)); + return detail::evaluate_rational_c_imp(a.data(), b.data(), z, static_cast<boost::math::integral_constant<int, N>*>(nullptr)); } +#endif } // namespace tools } // namespace math diff --git a/contrib/restricted/boost/math/include/boost/math/tools/roots.hpp b/contrib/restricted/boost/math/include/boost/math/tools/roots.hpp index 97e67fae95..b0b0fc246c 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/roots.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/roots.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -9,20 +10,21 @@ #ifdef _MSC_VER #pragma once #endif -#include <boost/math/tools/complex.hpp> // test for multiprecision types in complex Newton - -#include <utility> -#include <cmath> -#include <tuple> -#include <cstdint> #include <boost/math/tools/config.hpp> -#include <boost/math/tools/cxx03_warn.hpp> - +#include <boost/math/tools/complex.hpp> // test for multiprecision types in complex Newton +#include <boost/math/tools/type_traits.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/tuple.hpp> #include <boost/math/special_functions/sign.hpp> +#include <boost/math/policies/policy.hpp> +#include <boost/math/policies/error_handling.hpp> + +#ifndef BOOST_MATH_HAS_GPU_SUPPORT #include <boost/math/special_functions/next.hpp> #include <boost/math/tools/toms748_solve.hpp> -#include <boost/math/policies/error_handling.hpp> +#endif namespace boost { namespace math { @@ -33,11 +35,11 @@ namespace detail { namespace dummy { template<int n, class T> - typename T::value_type get(const T&) BOOST_MATH_NOEXCEPT(T); + BOOST_MATH_GPU_ENABLED typename T::value_type get(const T&) BOOST_MATH_NOEXCEPT(T); } template <class Tuple, class T> -void unpack_tuple(const Tuple& t, T& a, T& b) BOOST_MATH_NOEXCEPT(T) +BOOST_MATH_GPU_ENABLED void unpack_tuple(const Tuple& t, T& a, T& b) BOOST_MATH_NOEXCEPT(T) { using dummy::get; // Use ADL to find the right overload for get: @@ -45,7 +47,7 @@ void unpack_tuple(const Tuple& t, T& a, T& b) BOOST_MATH_NOEXCEPT(T) b = get<1>(t); } template <class Tuple, class T> -void unpack_tuple(const Tuple& t, T& a, T& b, T& c) BOOST_MATH_NOEXCEPT(T) +BOOST_MATH_GPU_ENABLED void unpack_tuple(const Tuple& t, T& a, T& b, T& c) BOOST_MATH_NOEXCEPT(T) { using dummy::get; // Use ADL to find the right overload for get: @@ -55,7 +57,7 @@ void unpack_tuple(const Tuple& t, T& a, T& b, T& c) BOOST_MATH_NOEXCEPT(T) } template <class Tuple, class T> -inline void unpack_0(const Tuple& t, T& val) BOOST_MATH_NOEXCEPT(T) +BOOST_MATH_GPU_ENABLED inline void unpack_0(const Tuple& t, T& val) BOOST_MATH_NOEXCEPT(T) { using dummy::get; // Rely on ADL to find the correct overload of get: @@ -63,26 +65,30 @@ inline void unpack_0(const Tuple& t, T& val) BOOST_MATH_NOEXCEPT(T) } template <class T, class U, class V> -inline void unpack_tuple(const std::pair<T, U>& p, V& a, V& b) BOOST_MATH_NOEXCEPT(T) +BOOST_MATH_GPU_ENABLED inline void unpack_tuple(const boost::math::pair<T, U>& p, V& a, V& b) BOOST_MATH_NOEXCEPT(T) { a = p.first; b = p.second; } template <class T, class U, class V> -inline void unpack_0(const std::pair<T, U>& p, V& a) BOOST_MATH_NOEXCEPT(T) +BOOST_MATH_GPU_ENABLED inline void unpack_0(const boost::math::pair<T, U>& p, V& a) BOOST_MATH_NOEXCEPT(T) { a = p.first; } template <class F, class T> -void handle_zero_derivative(F f, +BOOST_MATH_GPU_ENABLED void handle_zero_derivative(F f, T& last_f0, const T& f0, T& delta, T& result, T& guess, const T& min, - const T& max) noexcept(BOOST_MATH_IS_FLOAT(T) && noexcept(std::declval<F>()(std::declval<T>()))) + const T& max) noexcept(BOOST_MATH_IS_FLOAT(T) + #ifndef BOOST_MATH_HAS_GPU_SUPPORT + && noexcept(std::declval<F>()(std::declval<T>())) + #endif + ) { if (last_f0 == 0) { @@ -128,25 +134,29 @@ void handle_zero_derivative(F f, } // namespace template <class F, class T, class Tol, class Policy> -std::pair<T, T> bisect(F f, T min, T max, Tol tol, std::uintmax_t& max_iter, const Policy& pol) noexcept(policies::is_noexcept_error_policy<Policy>::value&& BOOST_MATH_IS_FLOAT(T) && noexcept(std::declval<F>()(std::declval<T>()))) +BOOST_MATH_GPU_ENABLED boost::math::pair<T, T> bisect(F f, T min, T max, Tol tol, boost::math::uintmax_t& max_iter, const Policy& pol) noexcept(policies::is_noexcept_error_policy<Policy>::value && BOOST_MATH_IS_FLOAT(T) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<F>()(std::declval<T>())) +#endif +) { T fmin = f(min); T fmax = f(max); if (fmin == 0) { max_iter = 2; - return std::make_pair(min, min); + return boost::math::make_pair(min, min); } if (fmax == 0) { max_iter = 2; - return std::make_pair(max, max); + return boost::math::make_pair(max, max); } // // Error checking: // - static const char* function = "boost::math::tools::bisect<%1%>"; + constexpr auto function = "boost::math::tools::bisect<%1%>"; if (min >= max) { return boost::math::detail::pair_from_single(policies::raise_evaluation_error(function, @@ -196,29 +206,41 @@ std::pair<T, T> bisect(F f, T min, T max, Tol tol, std::uintmax_t& max_iter, con std::cout << "Bisection required " << max_iter << " iterations.\n"; #endif - return std::make_pair(min, max); + return boost::math::make_pair(min, max); } template <class F, class T, class Tol> -inline std::pair<T, T> bisect(F f, T min, T max, Tol tol, std::uintmax_t& max_iter) noexcept(policies::is_noexcept_error_policy<policies::policy<> >::value&& BOOST_MATH_IS_FLOAT(T) && noexcept(std::declval<F>()(std::declval<T>()))) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<T, T> bisect(F f, T min, T max, Tol tol, boost::math::uintmax_t& max_iter) noexcept(policies::is_noexcept_error_policy<policies::policy<> >::value && BOOST_MATH_IS_FLOAT(T) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<F>()(std::declval<T>())) +#endif +) { return bisect(f, min, max, tol, max_iter, policies::policy<>()); } template <class F, class T, class Tol> -inline std::pair<T, T> bisect(F f, T min, T max, Tol tol) noexcept(policies::is_noexcept_error_policy<policies::policy<> >::value&& BOOST_MATH_IS_FLOAT(T) && noexcept(std::declval<F>()(std::declval<T>()))) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<T, T> bisect(F f, T min, T max, Tol tol) noexcept(policies::is_noexcept_error_policy<policies::policy<> >::value && BOOST_MATH_IS_FLOAT(T) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<F>()(std::declval<T>())) +#endif +) { - std::uintmax_t m = (std::numeric_limits<std::uintmax_t>::max)(); + boost::math::uintmax_t m = (boost::math::numeric_limits<boost::math::uintmax_t>::max)(); return bisect(f, min, max, tol, m, policies::policy<>()); } template <class F, class T> -T newton_raphson_iterate(F f, T guess, T min, T max, int digits, std::uintmax_t& max_iter) noexcept(policies::is_noexcept_error_policy<policies::policy<> >::value&& BOOST_MATH_IS_FLOAT(T) && noexcept(std::declval<F>()(std::declval<T>()))) +BOOST_MATH_GPU_ENABLED T newton_raphson_iterate(F f, T guess, T min, T max, int digits, boost::math::uintmax_t& max_iter) noexcept(policies::is_noexcept_error_policy<policies::policy<> >::value && BOOST_MATH_IS_FLOAT(T) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<F>()(std::declval<T>())) +#endif +) { BOOST_MATH_STD_USING - static const char* function = "boost::math::tools::newton_raphson_iterate<%1%>"; + constexpr auto function = "boost::math::tools::newton_raphson_iterate<%1%>"; if (min > max) { return policies::raise_evaluation_error(function, "Range arguments in wrong order in boost::math::tools::newton_raphson_iterate(first arg=%1%)", min, boost::math::policies::policy<>()); @@ -245,7 +267,7 @@ T newton_raphson_iterate(F f, T guess, T min, T max, int digits, std::uintmax_t& T max_range_f = 0; T min_range_f = 0; - std::uintmax_t count(max_iter); + boost::math::uintmax_t count(max_iter); #ifdef BOOST_MATH_INSTRUMENT std::cout << "Newton_raphson_iterate, guess = " << guess << ", min = " << min << ", max = " << max @@ -332,12 +354,22 @@ T newton_raphson_iterate(F f, T guess, T min, T max, int digits, std::uintmax_t& } template <class F, class T> -inline T newton_raphson_iterate(F f, T guess, T min, T max, int digits) noexcept(policies::is_noexcept_error_policy<policies::policy<> >::value&& BOOST_MATH_IS_FLOAT(T) && noexcept(std::declval<F>()(std::declval<T>()))) +BOOST_MATH_GPU_ENABLED inline T newton_raphson_iterate(F f, T guess, T min, T max, int digits) noexcept(policies::is_noexcept_error_policy<policies::policy<> >::value && BOOST_MATH_IS_FLOAT(T) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<F>()(std::declval<T>())) +#endif +) { - std::uintmax_t m = (std::numeric_limits<std::uintmax_t>::max)(); + boost::math::uintmax_t m = (boost::math::numeric_limits<boost::math::uintmax_t>::max)(); return newton_raphson_iterate(f, guess, min, max, digits, m); } +// TODO(mborland): Disabled for now +// Recursion needs to be removed, but there is no demand at this time +#ifdef BOOST_MATH_HAS_NVRTC +}}} // Namespaces +#else + namespace detail { struct halley_step @@ -1025,4 +1057,6 @@ inline std::pair<typename tools::promote_args<T1, T2, T3>::type, typename tools: } // namespace math } // namespace boost +#endif // BOOST_MATH_HAS_NVRTC + #endif // BOOST_MATH_TOOLS_NEWTON_SOLVER_HPP diff --git a/contrib/restricted/boost/math/include/boost/math/tools/series.hpp b/contrib/restricted/boost/math/include/boost/math/tools/series.hpp index a4822fea43..4617ea3df7 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/series.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/series.hpp @@ -10,10 +10,11 @@ #pragma once #endif -#include <cmath> -#include <cstdint> -#include <limits> + #include <boost/math/tools/config.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/cstdint.hpp> +#include <boost/math/tools/type_traits.hpp> namespace boost{ namespace math{ namespace tools{ @@ -21,13 +22,17 @@ namespace boost{ namespace math{ namespace tools{ // Simple series summation come first: // template <class Functor, class U, class V> -inline typename Functor::result_type sum_series(Functor& func, const U& factor, std::uintmax_t& max_terms, const V& init_value) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) && noexcept(std::declval<Functor>()())) +BOOST_MATH_GPU_ENABLED inline typename Functor::result_type sum_series(Functor& func, const U& factor, boost::math::uintmax_t& max_terms, const V& init_value) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<Functor>()()) +#endif +) { BOOST_MATH_STD_USING typedef typename Functor::result_type result_type; - std::uintmax_t counter = max_terms; + boost::math::uintmax_t counter = max_terms; result_type result = init_value; result_type next_term; @@ -44,14 +49,22 @@ inline typename Functor::result_type sum_series(Functor& func, const U& factor, } template <class Functor, class U> -inline typename Functor::result_type sum_series(Functor& func, const U& factor, std::uintmax_t& max_terms) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) && noexcept(std::declval<Functor>()())) +BOOST_MATH_GPU_ENABLED inline typename Functor::result_type sum_series(Functor& func, const U& factor, boost::math::uintmax_t& max_terms) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<Functor>()()) +#endif +) { typename Functor::result_type init_value = 0; return sum_series(func, factor, max_terms, init_value); } template <class Functor, class U> -inline typename Functor::result_type sum_series(Functor& func, int bits, std::uintmax_t& max_terms, const U& init_value) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) && noexcept(std::declval<Functor>()())) +BOOST_MATH_GPU_ENABLED inline typename Functor::result_type sum_series(Functor& func, int bits, boost::math::uintmax_t& max_terms, const U& init_value) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<Functor>()()) +#endif +) { BOOST_MATH_STD_USING typedef typename Functor::result_type result_type; @@ -60,17 +73,25 @@ inline typename Functor::result_type sum_series(Functor& func, int bits, std::ui } template <class Functor> -inline typename Functor::result_type sum_series(Functor& func, int bits) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) && noexcept(std::declval<Functor>()())) +BOOST_MATH_GPU_ENABLED inline typename Functor::result_type sum_series(Functor& func, int bits) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<Functor>()()) +#endif +) { BOOST_MATH_STD_USING typedef typename Functor::result_type result_type; - std::uintmax_t iters = (std::numeric_limits<std::uintmax_t>::max)(); + boost::math::uintmax_t iters = (boost::math::numeric_limits<boost::math::uintmax_t>::max)(); result_type init_val = 0; return sum_series(func, bits, iters, init_val); } template <class Functor> -inline typename Functor::result_type sum_series(Functor& func, int bits, std::uintmax_t& max_terms) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) && noexcept(std::declval<Functor>()())) +BOOST_MATH_GPU_ENABLED inline typename Functor::result_type sum_series(Functor& func, int bits, boost::math::uintmax_t& max_terms) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<Functor>()()) +#endif +) { BOOST_MATH_STD_USING typedef typename Functor::result_type result_type; @@ -79,23 +100,31 @@ inline typename Functor::result_type sum_series(Functor& func, int bits, std::ui } template <class Functor, class U> -inline typename Functor::result_type sum_series(Functor& func, int bits, const U& init_value) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) && noexcept(std::declval<Functor>()())) +BOOST_MATH_GPU_ENABLED inline typename Functor::result_type sum_series(Functor& func, int bits, const U& init_value) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<Functor>()()) +#endif +) { BOOST_MATH_STD_USING - std::uintmax_t iters = (std::numeric_limits<std::uintmax_t>::max)(); + boost::math::uintmax_t iters = (boost::math::numeric_limits<boost::math::uintmax_t>::max)(); return sum_series(func, bits, iters, init_value); } // // Checked summation: // template <class Functor, class U, class V> -inline typename Functor::result_type checked_sum_series(Functor& func, const U& factor, std::uintmax_t& max_terms, const V& init_value, V& norm) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) && noexcept(std::declval<Functor>()())) +BOOST_MATH_GPU_ENABLED inline typename Functor::result_type checked_sum_series(Functor& func, const U& factor, boost::math::uintmax_t& max_terms, const V& init_value, V& norm) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<Functor>()()) +#endif +) { BOOST_MATH_STD_USING typedef typename Functor::result_type result_type; - std::uintmax_t counter = max_terms; + boost::math::uintmax_t counter = max_terms; result_type result = init_value; result_type next_term; @@ -125,7 +154,11 @@ inline typename Functor::result_type checked_sum_series(Functor& func, const U& // in any case the result is still much better than a naive summation. // template <class Functor> -inline typename Functor::result_type kahan_sum_series(Functor& func, int bits) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) && noexcept(std::declval<Functor>()())) +BOOST_MATH_GPU_ENABLED inline typename Functor::result_type kahan_sum_series(Functor& func, int bits) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<Functor>()()) +#endif +) { BOOST_MATH_STD_USING @@ -148,13 +181,17 @@ inline typename Functor::result_type kahan_sum_series(Functor& func, int bits) n } template <class Functor> -inline typename Functor::result_type kahan_sum_series(Functor& func, int bits, std::uintmax_t& max_terms) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) && noexcept(std::declval<Functor>()())) +BOOST_MATH_GPU_ENABLED inline typename Functor::result_type kahan_sum_series(Functor& func, int bits, boost::math::uintmax_t& max_terms) noexcept(BOOST_MATH_IS_FLOAT(typename Functor::result_type) +#ifndef BOOST_MATH_HAS_GPU_SUPPORT +&& noexcept(std::declval<Functor>()()) +#endif +) { BOOST_MATH_STD_USING typedef typename Functor::result_type result_type; - std::uintmax_t counter = max_terms; + boost::math::uintmax_t counter = max_terms; result_type factor = ldexp(result_type(1), bits); result_type result = func(); diff --git a/contrib/restricted/boost/math/include/boost/math/tools/toms748_solve.hpp b/contrib/restricted/boost/math/include/boost/math/tools/toms748_solve.hpp index 1c72fd95c6..ead7927ed0 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/toms748_solve.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/toms748_solve.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2006. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -10,13 +11,13 @@ #pragma once #endif +#include <boost/math/tools/config.hpp> #include <boost/math/tools/precision.hpp> +#include <boost/math/tools/numeric_limits.hpp> +#include <boost/math/tools/tuple.hpp> +#include <boost/math/tools/cstdint.hpp> #include <boost/math/policies/error_handling.hpp> -#include <boost/math/tools/config.hpp> #include <boost/math/special_functions/sign.hpp> -#include <limits> -#include <utility> -#include <cstdint> #ifdef BOOST_MATH_LOG_ROOT_ITERATIONS # define BOOST_MATH_LOGGER_INCLUDE <boost/math/tools/iteration_logger.hpp> @@ -32,29 +33,36 @@ template <class T> class eps_tolerance { public: - eps_tolerance() : eps(4 * tools::epsilon<T>()) + BOOST_MATH_GPU_ENABLED eps_tolerance() : eps(4 * tools::epsilon<T>()) { } - eps_tolerance(unsigned bits) + BOOST_MATH_GPU_ENABLED eps_tolerance(unsigned bits) { BOOST_MATH_STD_USING - eps = (std::max)(T(ldexp(1.0F, 1-bits)), T(4 * tools::epsilon<T>())); + eps = BOOST_MATH_GPU_SAFE_MAX(T(ldexp(1.0F, 1-bits)), T(4 * tools::epsilon<T>())); } - bool operator()(const T& a, const T& b) + BOOST_MATH_GPU_ENABLED bool operator()(const T& a, const T& b) { BOOST_MATH_STD_USING - return fabs(a - b) <= (eps * (std::min)(fabs(a), fabs(b))); + return fabs(a - b) <= (eps * BOOST_MATH_GPU_SAFE_MIN(fabs(a), fabs(b))); } private: T eps; }; +// CUDA warns about __host__ __device__ marker on defaulted constructor +// but the warning is benign +#ifdef BOOST_MATH_ENABLE_CUDA +# pragma nv_diag_suppress 20012 +#endif + struct equal_floor { - equal_floor()= default; + BOOST_MATH_GPU_ENABLED equal_floor() = default; + template <class T> - bool operator()(const T& a, const T& b) + BOOST_MATH_GPU_ENABLED bool operator()(const T& a, const T& b) { BOOST_MATH_STD_USING return (floor(a) == floor(b)) || (fabs((b-a)/b) < boost::math::tools::epsilon<T>() * 2); @@ -63,9 +71,10 @@ struct equal_floor struct equal_ceil { - equal_ceil()= default; + BOOST_MATH_GPU_ENABLED equal_ceil() = default; + template <class T> - bool operator()(const T& a, const T& b) + BOOST_MATH_GPU_ENABLED bool operator()(const T& a, const T& b) { BOOST_MATH_STD_USING return (ceil(a) == ceil(b)) || (fabs((b - a) / b) < boost::math::tools::epsilon<T>() * 2); @@ -74,19 +83,24 @@ struct equal_ceil struct equal_nearest_integer { - equal_nearest_integer()= default; + BOOST_MATH_GPU_ENABLED equal_nearest_integer() = default; + template <class T> - bool operator()(const T& a, const T& b) + BOOST_MATH_GPU_ENABLED bool operator()(const T& a, const T& b) { BOOST_MATH_STD_USING return (floor(a + 0.5f) == floor(b + 0.5f)) || (fabs((b - a) / b) < boost::math::tools::epsilon<T>() * 2); } }; +#ifdef BOOST_MATH_ENABLE_CUDA +# pragma nv_diag_default 20012 +#endif + namespace detail{ template <class F, class T> -void bracket(F f, T& a, T& b, T c, T& fa, T& fb, T& d, T& fd) +BOOST_MATH_GPU_ENABLED void bracket(F f, T& a, T& b, T c, T& fa, T& fb, T& d, T& fd) { // // Given a point c inside the existing enclosing interval @@ -150,7 +164,7 @@ void bracket(F f, T& a, T& b, T c, T& fa, T& fb, T& d, T& fd) } template <class T> -inline T safe_div(T num, T denom, T r) +BOOST_MATH_GPU_ENABLED inline T safe_div(T num, T denom, T r) { // // return num / denom without overflow, @@ -167,7 +181,7 @@ inline T safe_div(T num, T denom, T r) } template <class T> -inline T secant_interpolate(const T& a, const T& b, const T& fa, const T& fb) +BOOST_MATH_GPU_ENABLED inline T secant_interpolate(const T& a, const T& b, const T& fa, const T& fb) { // // Performs standard secant interpolation of [a,b] given @@ -188,9 +202,9 @@ inline T secant_interpolate(const T& a, const T& b, const T& fa, const T& fb) } template <class T> -T quadratic_interpolate(const T& a, const T& b, T const& d, - const T& fa, const T& fb, T const& fd, - unsigned count) +BOOST_MATH_GPU_ENABLED T quadratic_interpolate(const T& a, const T& b, T const& d, + const T& fa, const T& fb, T const& fd, + unsigned count) { // // Performs quadratic interpolation to determine the next point, @@ -244,9 +258,9 @@ T quadratic_interpolate(const T& a, const T& b, T const& d, } template <class T> -T cubic_interpolate(const T& a, const T& b, const T& d, - const T& e, const T& fa, const T& fb, - const T& fd, const T& fe) +BOOST_MATH_GPU_ENABLED T cubic_interpolate(const T& a, const T& b, const T& d, + const T& e, const T& fa, const T& fb, + const T& fd, const T& fe) { // // Uses inverse cubic interpolation of f(x) at points @@ -293,7 +307,7 @@ T cubic_interpolate(const T& a, const T& b, const T& d, } // namespace detail template <class F, class T, class Tol, class Policy> -std::pair<T, T> toms748_solve(F f, const T& ax, const T& bx, const T& fax, const T& fbx, Tol tol, std::uintmax_t& max_iter, const Policy& pol) +BOOST_MATH_GPU_ENABLED boost::math::pair<T, T> toms748_solve(F f, const T& ax, const T& bx, const T& fax, const T& fbx, Tol tol, boost::math::uintmax_t& max_iter, const Policy& pol) { // // Main entry point and logic for Toms Algorithm 748 @@ -301,15 +315,15 @@ std::pair<T, T> toms748_solve(F f, const T& ax, const T& bx, const T& fax, const // BOOST_MATH_STD_USING // For ADL of std math functions - static const char* function = "boost::math::tools::toms748_solve<%1%>"; + constexpr auto function = "boost::math::tools::toms748_solve<%1%>"; // // Sanity check - are we allowed to iterate at all? // if (max_iter == 0) - return std::make_pair(ax, bx); + return boost::math::make_pair(ax, bx); - std::uintmax_t count = max_iter; + boost::math::uintmax_t count = max_iter; T a, b, fa, fb, c, u, fu, a0, b0, d, fd, e, fe; static const T mu = 0.5f; @@ -330,7 +344,7 @@ std::pair<T, T> toms748_solve(F f, const T& ax, const T& bx, const T& fax, const b = a; else if(fb == 0) a = b; - return std::make_pair(a, b); + return boost::math::make_pair(a, b); } if(boost::math::sign(fa) * boost::math::sign(fb) > 0) @@ -472,37 +486,37 @@ std::pair<T, T> toms748_solve(F f, const T& ax, const T& bx, const T& fax, const a = b; } BOOST_MATH_LOG_COUNT(max_iter) - return std::make_pair(a, b); + return boost::math::make_pair(a, b); } template <class F, class T, class Tol> -inline std::pair<T, T> toms748_solve(F f, const T& ax, const T& bx, const T& fax, const T& fbx, Tol tol, std::uintmax_t& max_iter) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<T, T> toms748_solve(F f, const T& ax, const T& bx, const T& fax, const T& fbx, Tol tol, boost::math::uintmax_t& max_iter) { return toms748_solve(f, ax, bx, fax, fbx, tol, max_iter, policies::policy<>()); } template <class F, class T, class Tol, class Policy> -inline std::pair<T, T> toms748_solve(F f, const T& ax, const T& bx, Tol tol, std::uintmax_t& max_iter, const Policy& pol) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<T, T> toms748_solve(F f, const T& ax, const T& bx, Tol tol, boost::math::uintmax_t& max_iter, const Policy& pol) { if (max_iter <= 2) - return std::make_pair(ax, bx); + return boost::math::make_pair(ax, bx); max_iter -= 2; - std::pair<T, T> r = toms748_solve(f, ax, bx, f(ax), f(bx), tol, max_iter, pol); + boost::math::pair<T, T> r = toms748_solve(f, ax, bx, f(ax), f(bx), tol, max_iter, pol); max_iter += 2; return r; } template <class F, class T, class Tol> -inline std::pair<T, T> toms748_solve(F f, const T& ax, const T& bx, Tol tol, std::uintmax_t& max_iter) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<T, T> toms748_solve(F f, const T& ax, const T& bx, Tol tol, boost::math::uintmax_t& max_iter) { return toms748_solve(f, ax, bx, tol, max_iter, policies::policy<>()); } template <class F, class T, class Tol, class Policy> -std::pair<T, T> bracket_and_solve_root(F f, const T& guess, T factor, bool rising, Tol tol, std::uintmax_t& max_iter, const Policy& pol) +BOOST_MATH_GPU_ENABLED boost::math::pair<T, T> bracket_and_solve_root(F f, const T& guess, T factor, bool rising, Tol tol, boost::math::uintmax_t& max_iter, const Policy& pol) { BOOST_MATH_STD_USING - static const char* function = "boost::math::tools::bracket_and_solve_root<%1%>"; + constexpr auto function = "boost::math::tools::bracket_and_solve_root<%1%>"; // // Set up initial brackets: // @@ -513,7 +527,7 @@ std::pair<T, T> bracket_and_solve_root(F f, const T& guess, T factor, bool risin // // Set up invocation count: // - std::uintmax_t count = max_iter - 1; + boost::math::uintmax_t count = max_iter - 1; int step = 32; @@ -563,7 +577,7 @@ std::pair<T, T> bracket_and_solve_root(F f, const T& guess, T factor, bool risin // Escape route just in case the answer is zero! max_iter -= count; max_iter += 1; - return a > 0 ? std::make_pair(T(0), T(a)) : std::make_pair(T(a), T(0)); + return a > 0 ? boost::math::make_pair(T(0), T(a)) : boost::math::make_pair(T(a), T(0)); } if(count == 0) return boost::math::detail::pair_from_single(policies::raise_evaluation_error(function, "Unable to bracket root, last nearest value was %1%", a, pol)); @@ -592,7 +606,7 @@ std::pair<T, T> bracket_and_solve_root(F f, const T& guess, T factor, bool risin } max_iter -= count; max_iter += 1; - std::pair<T, T> r = toms748_solve( + boost::math::pair<T, T> r = toms748_solve( f, (a < 0 ? b : a), (a < 0 ? a : b), @@ -608,7 +622,7 @@ std::pair<T, T> bracket_and_solve_root(F f, const T& guess, T factor, bool risin } template <class F, class T, class Tol> -inline std::pair<T, T> bracket_and_solve_root(F f, const T& guess, const T& factor, bool rising, Tol tol, std::uintmax_t& max_iter) +BOOST_MATH_GPU_ENABLED inline boost::math::pair<T, T> bracket_and_solve_root(F f, const T& guess, const T& factor, bool rising, Tol tol, boost::math::uintmax_t& max_iter) { return bracket_and_solve_root(f, guess, factor, rising, tol, max_iter, policies::policy<>()); } diff --git a/contrib/restricted/boost/math/include/boost/math/tools/tuple.hpp b/contrib/restricted/boost/math/include/boost/math/tools/tuple.hpp index b5e42fc59e..dcc763e37a 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/tuple.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/tuple.hpp @@ -1,4 +1,5 @@ // (C) Copyright John Maddock 2010. +// (C) Copyright Matt Borland 2024. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) @@ -6,12 +7,65 @@ #ifndef BOOST_MATH_TUPLE_HPP_INCLUDED #define BOOST_MATH_TUPLE_HPP_INCLUDED -#include <boost/math/tools/cxx03_warn.hpp> +#include <boost/math/tools/config.hpp> + +#ifdef BOOST_MATH_ENABLE_CUDA + +#include <boost/math/tools/type_traits.hpp> +#include <cuda/std/utility> +#include <cuda/std/tuple> + +namespace boost { +namespace math { + +using cuda::std::pair; +using cuda::std::tuple; + +using cuda::std::make_pair; + +using cuda::std::tie; +using cuda::std::get; + +using cuda::std::tuple_size; +using cuda::std::tuple_element; + +namespace detail { + +template <typename T> +BOOST_MATH_GPU_ENABLED T&& forward(boost::math::remove_reference_t<T>& arg) noexcept +{ + return static_cast<T&&>(arg); +} + +template <typename T> +BOOST_MATH_GPU_ENABLED T&& forward(boost::math::remove_reference_t<T>&& arg) noexcept +{ + static_assert(!boost::math::is_lvalue_reference<T>::value, "Cannot forward an rvalue as an lvalue."); + return static_cast<T&&>(arg); +} + +} // namespace detail + +template <typename T, typename... Ts> +BOOST_MATH_GPU_ENABLED auto make_tuple(T&& t, Ts&&... ts) +{ + return cuda::std::tuple<boost::math::decay_t<T>, boost::math::decay_t<Ts>...>( + boost::math::detail::forward<T>(t), boost::math::detail::forward<Ts>(ts)... + ); +} + +} // namespace math +} // namespace boost + +#else + #include <tuple> -namespace boost{ namespace math{ +namespace boost { +namespace math { using ::std::tuple; +using ::std::pair; // [6.1.3.2] Tuple creation functions using ::std::ignore; @@ -23,5 +77,12 @@ using ::std::get; using ::std::tuple_size; using ::std::tuple_element; -}} +// Pair helpers +using ::std::make_pair; + +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_ENABLE_CUDA + #endif diff --git a/contrib/restricted/boost/math/include/boost/math/tools/type_traits.hpp b/contrib/restricted/boost/math/include/boost/math/tools/type_traits.hpp new file mode 100644 index 0000000000..a13332797b --- /dev/null +++ b/contrib/restricted/boost/math/include/boost/math/tools/type_traits.hpp @@ -0,0 +1,494 @@ +// Copyright (c) 2024 Matt Borland +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file +// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) +// +// Regular use of <type_traits> is not compatible with CUDA +// Adds aliases to unify the support +// Also adds convience overloads like is_same_v so we don't have to wait for C++17 + +#ifndef BOOST_MATH_TOOLS_TYPE_TRAITS +#define BOOST_MATH_TOOLS_TYPE_TRAITS + +#include <boost/math/tools/config.hpp> + +#ifdef BOOST_MATH_ENABLE_CUDA + +#include <cuda/std/type_traits> + +namespace boost { +namespace math { + +// Helper classes +using cuda::std::integral_constant; +using cuda::std::true_type; +using cuda::std::false_type; + +// Primary type categories +using cuda::std::is_void; +using cuda::std::is_null_pointer; +using cuda::std::is_integral; +using cuda::std::is_floating_point; +using cuda::std::is_array; +using cuda::std::is_enum; +using cuda::std::is_union; +using cuda::std::is_class; +using cuda::std::is_function; +using cuda::std::is_pointer; +using cuda::std::is_lvalue_reference; +using cuda::std::is_rvalue_reference; +using cuda::std::is_member_object_pointer; +using cuda::std::is_member_function_pointer; + +// Composite Type Categories +using cuda::std::is_fundamental; +using cuda::std::is_arithmetic; +using cuda::std::is_scalar; +using cuda::std::is_object; +using cuda::std::is_compound; +using cuda::std::is_reference; +using cuda::std::is_member_pointer; + +// Type properties +using cuda::std::is_const; +using cuda::std::is_volatile; +using cuda::std::is_trivial; +using cuda::std::is_trivially_copyable; +using cuda::std::is_standard_layout; +using cuda::std::is_empty; +using cuda::std::is_polymorphic; +using cuda::std::is_abstract; +using cuda::std::is_final; +using cuda::std::is_signed; +using cuda::std::is_unsigned; + +// Supported Operations +using cuda::std::is_constructible; +using cuda::std::is_trivially_constructible; +using cuda::std::is_nothrow_constructible; + +using cuda::std::is_default_constructible; +using cuda::std::is_trivially_default_constructible; +using cuda::std::is_nothrow_default_constructible; + +using cuda::std::is_copy_constructible; +using cuda::std::is_trivially_copy_constructible; +using cuda::std::is_nothrow_copy_constructible; + +using cuda::std::is_move_constructible; +using cuda::std::is_trivially_move_constructible; +using cuda::std::is_nothrow_move_constructible; + +using cuda::std::is_assignable; +using cuda::std::is_trivially_assignable; +using cuda::std::is_nothrow_assignable; + +using cuda::std::is_copy_assignable; +using cuda::std::is_trivially_copy_assignable; +using cuda::std::is_nothrow_copy_assignable; + +using cuda::std::is_move_assignable; +using cuda::std::is_trivially_move_assignable; +using cuda::std::is_nothrow_move_assignable; + +using cuda::std::is_destructible; +using cuda::std::is_trivially_destructible; +using cuda::std::is_nothrow_destructible; + +using cuda::std::has_virtual_destructor; + +// Property Queries +using cuda::std::alignment_of; +using cuda::std::rank; +using cuda::std::extent; + +// Type Relationships +using cuda::std::is_same; +using cuda::std::is_base_of; +using cuda::std::is_convertible; + +// Const-volatility specifiers +using cuda::std::remove_cv; +using cuda::std::remove_cv_t; +using cuda::std::remove_const; +using cuda::std::remove_const_t; +using cuda::std::remove_volatile; +using cuda::std::remove_volatile_t; +using cuda::std::add_cv; +using cuda::std::add_cv_t; +using cuda::std::add_const; +using cuda::std::add_const_t; +using cuda::std::add_volatile; +using cuda::std::add_volatile_t; + +// References +using cuda::std::remove_reference; +using cuda::std::remove_reference_t; +using cuda::std::add_lvalue_reference; +using cuda::std::add_lvalue_reference_t; +using cuda::std::add_rvalue_reference; +using cuda::std::add_rvalue_reference_t; + +// Pointers +using cuda::std::remove_pointer; +using cuda::std::remove_pointer_t; +using cuda::std::add_pointer; +using cuda::std::add_pointer_t; + +// Sign Modifiers +using cuda::std::make_signed; +using cuda::std::make_signed_t; +using cuda::std::make_unsigned; +using cuda::std::make_unsigned_t; + +// Arrays +using cuda::std::remove_extent; +using cuda::std::remove_extent_t; +using cuda::std::remove_all_extents; +using cuda::std::remove_all_extents_t; + +// Misc transformations +using cuda::std::decay; +using cuda::std::decay_t; +using cuda::std::enable_if; +using cuda::std::enable_if_t; +using cuda::std::conditional; +using cuda::std::conditional_t; +using cuda::std::common_type; +using cuda::std::common_type_t; +using cuda::std::underlying_type; +using cuda::std::underlying_type_t; + +#else // STD versions + +#include <type_traits> + +namespace boost { +namespace math { + +// Helper classes +using std::integral_constant; +using std::true_type; +using std::false_type; + +// Primary type categories +using std::is_void; +using std::is_null_pointer; +using std::is_integral; +using std::is_floating_point; +using std::is_array; +using std::is_enum; +using std::is_union; +using std::is_class; +using std::is_function; +using std::is_pointer; +using std::is_lvalue_reference; +using std::is_rvalue_reference; +using std::is_member_object_pointer; +using std::is_member_function_pointer; + +// Composite Type Categories +using std::is_fundamental; +using std::is_arithmetic; +using std::is_scalar; +using std::is_object; +using std::is_compound; +using std::is_reference; +using std::is_member_pointer; + +// Type properties +using std::is_const; +using std::is_volatile; +using std::is_trivial; +using std::is_trivially_copyable; +using std::is_standard_layout; +using std::is_empty; +using std::is_polymorphic; +using std::is_abstract; +using std::is_final; +using std::is_signed; +using std::is_unsigned; + +// Supported Operations +using std::is_constructible; +using std::is_trivially_constructible; +using std::is_nothrow_constructible; + +using std::is_default_constructible; +using std::is_trivially_default_constructible; +using std::is_nothrow_default_constructible; + +using std::is_copy_constructible; +using std::is_trivially_copy_constructible; +using std::is_nothrow_copy_constructible; + +using std::is_move_constructible; +using std::is_trivially_move_constructible; +using std::is_nothrow_move_constructible; + +using std::is_assignable; +using std::is_trivially_assignable; +using std::is_nothrow_assignable; + +using std::is_copy_assignable; +using std::is_trivially_copy_assignable; +using std::is_nothrow_copy_assignable; + +using std::is_move_assignable; +using std::is_trivially_move_assignable; +using std::is_nothrow_move_assignable; + +using std::is_destructible; +using std::is_trivially_destructible; +using std::is_nothrow_destructible; + +using std::has_virtual_destructor; + +// Property Queries +using std::alignment_of; +using std::rank; +using std::extent; + +// Type Relationships +using std::is_same; +using std::is_base_of; +using std::is_convertible; + +// Const-volatility specifiers +using std::remove_cv; +using std::remove_cv_t; +using std::remove_const; +using std::remove_const_t; +using std::remove_volatile; +using std::remove_volatile_t; +using std::add_cv; +using std::add_cv_t; +using std::add_const; +using std::add_const_t; +using std::add_volatile; +using std::add_volatile_t; + +// References +using std::remove_reference; +using std::remove_reference_t; +using std::add_lvalue_reference; +using std::add_lvalue_reference_t; +using std::add_rvalue_reference; +using std::add_rvalue_reference_t; + +// Pointers +using std::remove_pointer; +using std::remove_pointer_t; +using std::add_pointer; +using std::add_pointer_t; + +// Sign Modifiers +using std::make_signed; +using std::make_signed_t; +using std::make_unsigned; +using std::make_unsigned_t; + +// Arrays +using std::remove_extent; +using std::remove_extent_t; +using std::remove_all_extents; +using std::remove_all_extents_t; + +// Misc transformations +using std::decay; +using std::decay_t; +using std::enable_if; +using std::enable_if_t; +using std::conditional; +using std::conditional_t; +using std::common_type; +using std::common_type_t; +using std::underlying_type; +using std::underlying_type_t; + +#endif + +template <bool B> +using bool_constant = boost::math::integral_constant<bool, B>; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_void_v = boost::math::is_void<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_null_pointer_v = boost::math::is_null_pointer<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_integral_v = boost::math::is_integral<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_floating_point_v = boost::math::is_floating_point<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_array_v = boost::math::is_array<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_enum_v = boost::math::is_enum<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_union_v = boost::math::is_union<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_class_v = boost::math::is_class<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_function_v = boost::math::is_function<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_pointer_v = boost::math::is_pointer<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_lvalue_reference_v = boost::math::is_lvalue_reference<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_rvalue_reference_v = boost::math::is_rvalue_reference<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_member_object_pointer_v = boost::math::is_member_object_pointer<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_member_function_pointer_v = boost::math::is_member_function_pointer<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_fundamental_v = boost::math::is_fundamental<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_arithmetic_v = boost::math::is_arithmetic<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_scalar_v = boost::math::is_scalar<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_object_v = boost::math::is_object<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_compound_v = boost::math::is_compound<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_reference_v = boost::math::is_reference<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_member_pointer_v = boost::math::is_member_pointer<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_const_v = boost::math::is_const<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_volatile_v = boost::math::is_volatile<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_trivial_v = boost::math::is_trivial<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_trivially_copyable_v = boost::math::is_trivially_copyable<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_standard_layout_v = boost::math::is_standard_layout<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_empty_v = boost::math::is_empty<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_polymorphic_v = boost::math::is_polymorphic<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_abstract_v = boost::math::is_abstract<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_final_v = boost::math::is_final<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_signed_v = boost::math::is_signed<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_unsigned_v = boost::math::is_unsigned<T>::value; + +template <typename T, typename... Args> +BOOST_MATH_INLINE_CONSTEXPR bool is_constructible_v = boost::math::is_constructible<T, Args...>::value; + +template <typename T, typename... Args> +BOOST_MATH_INLINE_CONSTEXPR bool is_trivially_constructible_v = boost::math::is_trivially_constructible<T, Args...>::value; + +template <typename T, typename... Args> +BOOST_MATH_INLINE_CONSTEXPR bool is_nothrow_constructible_v = boost::math::is_nothrow_constructible<T, Args...>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_default_constructible_v = boost::math::is_default_constructible<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_trivially_default_constructible_v = boost::math::is_trivially_default_constructible<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_nothrow_default_constructible_v = boost::math::is_nothrow_default_constructible<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_copy_constructible_v = boost::math::is_copy_constructible<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_trivially_copy_constructible_v = boost::math::is_trivially_copy_constructible<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_nothrow_copy_constructible_v = boost::math::is_nothrow_copy_constructible<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_move_constructible_v = boost::math::is_move_constructible<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_trivially_move_constructible_v = boost::math::is_trivially_move_constructible<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_nothrow_move_constructible_v = boost::math::is_nothrow_move_constructible<T>::value; + +template <typename T, typename U> +BOOST_MATH_INLINE_CONSTEXPR bool is_assignable_v = boost::math::is_assignable<T, U>::value; + +template <typename T, typename U> +BOOST_MATH_INLINE_CONSTEXPR bool is_trivially_assignable_v = boost::math::is_trivially_assignable<T, U>::value; + +template <typename T, typename U> +BOOST_MATH_INLINE_CONSTEXPR bool is_nothrow_assignable_v = boost::math::is_nothrow_assignable<T, U>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_copy_assignable_v = boost::math::is_copy_assignable<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_trivially_copy_assignable_v = boost::math::is_trivially_copy_assignable<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_nothrow_copy_assignable_v = boost::math::is_nothrow_copy_assignable<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_move_assignable_v = boost::math::is_move_assignable<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_trivially_move_assignable_v = boost::math::is_trivially_move_assignable<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_nothrow_move_assignable_v = boost::math::is_nothrow_move_assignable<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_destructible_v = boost::math::is_destructible<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_trivially_destructible_v = boost::math::is_trivially_destructible<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool is_nothrow_destructible_v = boost::math::is_nothrow_destructible<T>::value; + +template <typename T> +BOOST_MATH_INLINE_CONSTEXPR bool has_virtual_destructor_v = boost::math::has_virtual_destructor<T>::value; + +template <typename T, typename U> +BOOST_MATH_INLINE_CONSTEXPR bool is_same_v = boost::math::is_same<T, U>::value; + +template <typename T, typename U> +BOOST_MATH_INLINE_CONSTEXPR bool is_base_of_v = boost::math::is_base_of<T, U>::value; + +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_TOOLS_TYPE_TRAITS diff --git a/contrib/restricted/boost/math/include/boost/math/tools/utility.hpp b/contrib/restricted/boost/math/include/boost/math/tools/utility.hpp new file mode 100644 index 0000000000..3e22865780 --- /dev/null +++ b/contrib/restricted/boost/math/include/boost/math/tools/utility.hpp @@ -0,0 +1,69 @@ +// Copyright (c) 2024 Matt Borland +// Use, modification and distribution are subject to the +// Boost Software License, Version 1.0. (See accompanying file +// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) + +#ifndef BOOST_MATH_TOOLS_UTILITY +#define BOOST_MATH_TOOLS_UTILITY + +#include <boost/math/tools/config.hpp> + +#ifndef BOOST_MATH_HAS_GPU_SUPPORT + +#include <utility> + +namespace boost { +namespace math { + +template <typename T> +constexpr T min BOOST_MATH_PREVENT_MACRO_SUBSTITUTION (const T& a, const T& b) +{ + return (std::min)(a, b); +} + +template <typename T> +constexpr T max BOOST_MATH_PREVENT_MACRO_SUBSTITUTION (const T& a, const T& b) +{ + return (std::max)(a, b); +} + +template <typename T> +void swap BOOST_MATH_PREVENT_MACRO_SUBSTITUTION (T& a, T& b) +{ + return (std::swap)(a, b); +} + +} // namespace math +} // namespace boost + +#else + +namespace boost { +namespace math { + +template <typename T> +BOOST_MATH_GPU_ENABLED constexpr T min BOOST_MATH_PREVENT_MACRO_SUBSTITUTION (const T& a, const T& b) +{ + return a < b ? a : b; +} + +template <typename T> +BOOST_MATH_GPU_ENABLED constexpr T max BOOST_MATH_PREVENT_MACRO_SUBSTITUTION (const T& a, const T& b) +{ + return a > b ? a : b; +} + +template <typename T> +BOOST_MATH_GPU_ENABLED constexpr void swap BOOST_MATH_PREVENT_MACRO_SUBSTITUTION (T& a, T& b) +{ + T t(a); + a = b; + b = t; +} + +} // namespace math +} // namespace boost + +#endif // BOOST_MATH_HAS_GPU_SUPPORT + +#endif // BOOST_MATH_TOOLS_UTILITY diff --git a/contrib/restricted/boost/math/include/boost/math/tools/workaround.hpp b/contrib/restricted/boost/math/include/boost/math/tools/workaround.hpp index 9b15c4e930..7edd1c12aa 100644 --- a/contrib/restricted/boost/math/include/boost/math/tools/workaround.hpp +++ b/contrib/restricted/boost/math/include/boost/math/tools/workaround.hpp @@ -23,7 +23,7 @@ namespace boost{ namespace math{ namespace tools{ // std::fmod(1185.0L, 1.5L); // template <class T> -inline T fmod_workaround(T a, T b) BOOST_MATH_NOEXCEPT(T) +BOOST_MATH_GPU_ENABLED inline T fmod_workaround(T a, T b) BOOST_MATH_NOEXCEPT(T) { BOOST_MATH_STD_USING return fmod(a, b); diff --git a/contrib/restricted/boost/math/ya.make b/contrib/restricted/boost/math/ya.make index 2732a1e0ad..6a6432f8a5 100644 --- a/contrib/restricted/boost/math/ya.make +++ b/contrib/restricted/boost/math/ya.make @@ -6,9 +6,9 @@ LICENSE(BSL-1.0) LICENSE_TEXTS(.yandex_meta/licenses.list.txt) -VERSION(1.86.0) +VERSION(1.87.0) -ORIGINAL_SOURCE(https://github.com/boostorg/math/archive/boost-1.86.0.tar.gz) +ORIGINAL_SOURCE(https://github.com/boostorg/math/archive/boost-1.87.0.tar.gz) PEERDIR( contrib/restricted/boost/assert |