Restoring authorship annotation for Andrey Khalyavin <[email protected]>. Commit 1 of 2.

1 files changed, 663 insertions, 663 deletions

diff --git a/contrib/libs/cxxsupp/libcxx/include/cmath b/contrib/libs/cxxsupp/libcxx/include/cmath
index e14905c57cf..ef56d2905bd 100644
--- a/contrib/libs/cxxsupp/libcxx/include/cmath
+++ b/contrib/libs/cxxsupp/libcxx/include/cmath
@@ -1,675 +1,675 @@
-// -*- C++ -*-
-//===---------------------------- cmath -----------------------------------===//
-//
+// -*- C++ -*- 
+//===---------------------------- cmath -----------------------------------===// 
+// 
 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
 // See https://llvm.org/LICENSE.txt for license information.
 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
-//
-//===----------------------------------------------------------------------===//
-
-#ifndef _LIBCPP_CMATH
-#define _LIBCPP_CMATH
-
-/*
-    cmath synopsis
-
-Macros:
-
-    HUGE_VAL
-    HUGE_VALF               // C99
-    HUGE_VALL               // C99
-    INFINITY                // C99
-    NAN                     // C99
-    FP_INFINITE             // C99
-    FP_NAN                  // C99
-    FP_NORMAL               // C99
-    FP_SUBNORMAL            // C99
-    FP_ZERO                 // C99
-    FP_FAST_FMA             // C99
-    FP_FAST_FMAF            // C99
-    FP_FAST_FMAL            // C99
-    FP_ILOGB0               // C99
-    FP_ILOGBNAN             // C99
-    MATH_ERRNO              // C99
-    MATH_ERREXCEPT          // C99
-    math_errhandling        // C99
-
-namespace std
-{
-
-Types:
-
-    float_t                 // C99
-    double_t                // C99
-
-// C90
-
-floating_point abs(floating_point x);
-
-floating_point acos (arithmetic x);
-float          acosf(float x);
-long double    acosl(long double x);
-
-floating_point asin (arithmetic x);
-float          asinf(float x);
-long double    asinl(long double x);
-
-floating_point atan (arithmetic x);
-float          atanf(float x);
-long double    atanl(long double x);
-
-floating_point atan2 (arithmetic y, arithmetic x);
-float          atan2f(float y, float x);
-long double    atan2l(long double y, long double x);
-
-floating_point ceil (arithmetic x);
-float          ceilf(float x);
-long double    ceill(long double x);
-
-floating_point cos (arithmetic x);
-float          cosf(float x);
-long double    cosl(long double x);
-
-floating_point cosh (arithmetic x);
-float          coshf(float x);
-long double    coshl(long double x);
-
-floating_point exp (arithmetic x);
-float          expf(float x);
-long double    expl(long double x);
-
-floating_point fabs (arithmetic x);
-float          fabsf(float x);
-long double    fabsl(long double x);
-
-floating_point floor (arithmetic x);
-float          floorf(float x);
-long double    floorl(long double x);
-
-floating_point fmod (arithmetic x, arithmetic y);
-float          fmodf(float x, float y);
-long double    fmodl(long double x, long double y);
-
-floating_point frexp (arithmetic value, int* exp);
-float          frexpf(float value, int* exp);
-long double    frexpl(long double value, int* exp);
-
-floating_point ldexp (arithmetic value, int exp);
-float          ldexpf(float value, int exp);
-long double    ldexpl(long double value, int exp);
-
-floating_point log (arithmetic x);
-float          logf(float x);
-long double    logl(long double x);
-
-floating_point log10 (arithmetic x);
-float          log10f(float x);
-long double    log10l(long double x);
-
-floating_point modf (floating_point value, floating_point* iptr);
-float          modff(float value, float* iptr);
-long double    modfl(long double value, long double* iptr);
-
-floating_point pow (arithmetic x, arithmetic y);
-float          powf(float x, float y);
-long double    powl(long double x, long double y);
-
-floating_point sin (arithmetic x);
-float          sinf(float x);
-long double    sinl(long double x);
-
-floating_point sinh (arithmetic x);
-float          sinhf(float x);
-long double    sinhl(long double x);
-
-floating_point sqrt (arithmetic x);
-float          sqrtf(float x);
-long double    sqrtl(long double x);
-
-floating_point tan (arithmetic x);
-float          tanf(float x);
-long double    tanl(long double x);
-
-floating_point tanh (arithmetic x);
-float          tanhf(float x);
-long double    tanhl(long double x);
-
-//  C99
-
-bool signbit(arithmetic x);
-
-int fpclassify(arithmetic x);
-
-bool isfinite(arithmetic x);
-bool isinf(arithmetic x);
-bool isnan(arithmetic x);
-bool isnormal(arithmetic x);
-
-bool isgreater(arithmetic x, arithmetic y);
-bool isgreaterequal(arithmetic x, arithmetic y);
-bool isless(arithmetic x, arithmetic y);
-bool islessequal(arithmetic x, arithmetic y);
-bool islessgreater(arithmetic x, arithmetic y);
-bool isunordered(arithmetic x, arithmetic y);
-
-floating_point acosh (arithmetic x);
-float          acoshf(float x);
-long double    acoshl(long double x);
-
-floating_point asinh (arithmetic x);
-float          asinhf(float x);
-long double    asinhl(long double x);
-
-floating_point atanh (arithmetic x);
-float          atanhf(float x);
-long double    atanhl(long double x);
-
-floating_point cbrt (arithmetic x);
-float          cbrtf(float x);
-long double    cbrtl(long double x);
-
-floating_point copysign (arithmetic x, arithmetic y);
-float          copysignf(float x, float y);
-long double    copysignl(long double x, long double y);
-
-floating_point erf (arithmetic x);
-float          erff(float x);
-long double    erfl(long double x);
-
-floating_point erfc (arithmetic x);
-float          erfcf(float x);
-long double    erfcl(long double x);
-
-floating_point exp2 (arithmetic x);
-float          exp2f(float x);
-long double    exp2l(long double x);
-
-floating_point expm1 (arithmetic x);
-float          expm1f(float x);
-long double    expm1l(long double x);
-
-floating_point fdim (arithmetic x, arithmetic y);
-float          fdimf(float x, float y);
-long double    fdiml(long double x, long double y);
-
-floating_point fma (arithmetic x, arithmetic y, arithmetic z);
-float          fmaf(float x, float y, float z);
-long double    fmal(long double x, long double y, long double z);
-
-floating_point fmax (arithmetic x, arithmetic y);
-float          fmaxf(float x, float y);
-long double    fmaxl(long double x, long double y);
-
-floating_point fmin (arithmetic x, arithmetic y);
-float          fminf(float x, float y);
-long double    fminl(long double x, long double y);
-
-floating_point hypot (arithmetic x, arithmetic y);
-float          hypotf(float x, float y);
-long double    hypotl(long double x, long double y);
-
-double       hypot(double x, double y, double z);                // C++17
-float        hypot(float x, float y, float z);                   // C++17
-long double  hypot(long double x, long double y, long double z); // C++17
-
-int ilogb (arithmetic x);
-int ilogbf(float x);
-int ilogbl(long double x);
-
-floating_point lgamma (arithmetic x);
-float          lgammaf(float x);
-long double    lgammal(long double x);
-
-long long llrint (arithmetic x);
-long long llrintf(float x);
-long long llrintl(long double x);
-
-long long llround (arithmetic x);
-long long llroundf(float x);
-long long llroundl(long double x);
-
-floating_point log1p (arithmetic x);
-float          log1pf(float x);
-long double    log1pl(long double x);
-
-floating_point log2 (arithmetic x);
-float          log2f(float x);
-long double    log2l(long double x);
-
-floating_point logb (arithmetic x);
-float          logbf(float x);
-long double    logbl(long double x);
-
-long lrint (arithmetic x);
-long lrintf(float x);
-long lrintl(long double x);
-
-long lround (arithmetic x);
-long lroundf(float x);
-long lroundl(long double x);
-
-double      nan (const char* str);
-float       nanf(const char* str);
-long double nanl(const char* str);
-
-floating_point nearbyint (arithmetic x);
-float          nearbyintf(float x);
-long double    nearbyintl(long double x);
-
-floating_point nextafter (arithmetic x, arithmetic y);
-float          nextafterf(float x, float y);
-long double    nextafterl(long double x, long double y);
-
-floating_point nexttoward (arithmetic x, long double y);
-float          nexttowardf(float x, long double y);
-long double    nexttowardl(long double x, long double y);
-
-floating_point remainder (arithmetic x, arithmetic y);
-float          remainderf(float x, float y);
-long double    remainderl(long double x, long double y);
-
-floating_point remquo (arithmetic x, arithmetic y, int* pquo);
-float          remquof(float x, float y, int* pquo);
-long double    remquol(long double x, long double y, int* pquo);
-
-floating_point rint (arithmetic x);
-float          rintf(float x);
-long double    rintl(long double x);
-
-floating_point round (arithmetic x);
-float          roundf(float x);
-long double    roundl(long double x);
-
-floating_point scalbln (arithmetic x, long ex);
-float          scalblnf(float x, long ex);
-long double    scalblnl(long double x, long ex);
-
-floating_point scalbn (arithmetic x, int ex);
-float          scalbnf(float x, int ex);
-long double    scalbnl(long double x, int ex);
-
-floating_point tgamma (arithmetic x);
-float          tgammaf(float x);
-long double    tgammal(long double x);
-
-floating_point trunc (arithmetic x);
-float          truncf(float x);
-long double    truncl(long double x);
-
-constexpr float       lerp(float a, float b, float t) noexcept;                   // C++20
-constexpr double      lerp(double a, double b, double t) noexcept;                // C++20
-constexpr long double lerp(long double a, long double b, long double t) noexcept; // C++20
-
-}  // std
-
-*/
-
-#include <__config>
-#include <math.h>
+// 
+//===----------------------------------------------------------------------===// 
+ 
+#ifndef _LIBCPP_CMATH 
+#define _LIBCPP_CMATH 
+ 
+/* 
+    cmath synopsis 
+ 
+Macros: 
+ 
+    HUGE_VAL 
+    HUGE_VALF               // C99 
+    HUGE_VALL               // C99 
+    INFINITY                // C99 
+    NAN                     // C99 
+    FP_INFINITE             // C99 
+    FP_NAN                  // C99 
+    FP_NORMAL               // C99 
+    FP_SUBNORMAL            // C99 
+    FP_ZERO                 // C99 
+    FP_FAST_FMA             // C99 
+    FP_FAST_FMAF            // C99 
+    FP_FAST_FMAL            // C99 
+    FP_ILOGB0               // C99 
+    FP_ILOGBNAN             // C99 
+    MATH_ERRNO              // C99 
+    MATH_ERREXCEPT          // C99 
+    math_errhandling        // C99 
+ 
+namespace std 
+{ 
+ 
+Types: 
+ 
+    float_t                 // C99 
+    double_t                // C99 
+ 
+// C90 
+ 
+floating_point abs(floating_point x); 
+ 
+floating_point acos (arithmetic x); 
+float          acosf(float x); 
+long double    acosl(long double x); 
+ 
+floating_point asin (arithmetic x); 
+float          asinf(float x); 
+long double    asinl(long double x); 
+ 
+floating_point atan (arithmetic x); 
+float          atanf(float x); 
+long double    atanl(long double x); 
+ 
+floating_point atan2 (arithmetic y, arithmetic x); 
+float          atan2f(float y, float x); 
+long double    atan2l(long double y, long double x); 
+ 
+floating_point ceil (arithmetic x); 
+float          ceilf(float x); 
+long double    ceill(long double x); 
+ 
+floating_point cos (arithmetic x); 
+float          cosf(float x); 
+long double    cosl(long double x); 
+ 
+floating_point cosh (arithmetic x); 
+float          coshf(float x); 
+long double    coshl(long double x); 
+ 
+floating_point exp (arithmetic x); 
+float          expf(float x); 
+long double    expl(long double x); 
+ 
+floating_point fabs (arithmetic x); 
+float          fabsf(float x); 
+long double    fabsl(long double x); 
+ 
+floating_point floor (arithmetic x); 
+float          floorf(float x); 
+long double    floorl(long double x); 
+ 
+floating_point fmod (arithmetic x, arithmetic y); 
+float          fmodf(float x, float y); 
+long double    fmodl(long double x, long double y); 
+ 
+floating_point frexp (arithmetic value, int* exp); 
+float          frexpf(float value, int* exp); 
+long double    frexpl(long double value, int* exp); 
+ 
+floating_point ldexp (arithmetic value, int exp); 
+float          ldexpf(float value, int exp); 
+long double    ldexpl(long double value, int exp); 
+ 
+floating_point log (arithmetic x); 
+float          logf(float x); 
+long double    logl(long double x); 
+ 
+floating_point log10 (arithmetic x); 
+float          log10f(float x); 
+long double    log10l(long double x); 
+ 
+floating_point modf (floating_point value, floating_point* iptr); 
+float          modff(float value, float* iptr); 
+long double    modfl(long double value, long double* iptr); 
+ 
+floating_point pow (arithmetic x, arithmetic y); 
+float          powf(float x, float y); 
+long double    powl(long double x, long double y); 
+ 
+floating_point sin (arithmetic x); 
+float          sinf(float x); 
+long double    sinl(long double x); 
+ 
+floating_point sinh (arithmetic x); 
+float          sinhf(float x); 
+long double    sinhl(long double x); 
+ 
+floating_point sqrt (arithmetic x); 
+float          sqrtf(float x); 
+long double    sqrtl(long double x); 
+ 
+floating_point tan (arithmetic x); 
+float          tanf(float x); 
+long double    tanl(long double x); 
+ 
+floating_point tanh (arithmetic x); 
+float          tanhf(float x); 
+long double    tanhl(long double x); 
+ 
+//  C99 
+ 
+bool signbit(arithmetic x); 
+ 
+int fpclassify(arithmetic x); 
+ 
+bool isfinite(arithmetic x); 
+bool isinf(arithmetic x); 
+bool isnan(arithmetic x); 
+bool isnormal(arithmetic x); 
+ 
+bool isgreater(arithmetic x, arithmetic y); 
+bool isgreaterequal(arithmetic x, arithmetic y); 
+bool isless(arithmetic x, arithmetic y); 
+bool islessequal(arithmetic x, arithmetic y); 
+bool islessgreater(arithmetic x, arithmetic y); 
+bool isunordered(arithmetic x, arithmetic y); 
+ 
+floating_point acosh (arithmetic x); 
+float          acoshf(float x); 
+long double    acoshl(long double x); 
+ 
+floating_point asinh (arithmetic x); 
+float          asinhf(float x); 
+long double    asinhl(long double x); 
+ 
+floating_point atanh (arithmetic x); 
+float          atanhf(float x); 
+long double    atanhl(long double x); 
+ 
+floating_point cbrt (arithmetic x); 
+float          cbrtf(float x); 
+long double    cbrtl(long double x); 
+ 
+floating_point copysign (arithmetic x, arithmetic y); 
+float          copysignf(float x, float y); 
+long double    copysignl(long double x, long double y); 
+ 
+floating_point erf (arithmetic x); 
+float          erff(float x); 
+long double    erfl(long double x); 
+ 
+floating_point erfc (arithmetic x); 
+float          erfcf(float x); 
+long double    erfcl(long double x); 
+ 
+floating_point exp2 (arithmetic x); 
+float          exp2f(float x); 
+long double    exp2l(long double x); 
+ 
+floating_point expm1 (arithmetic x); 
+float          expm1f(float x); 
+long double    expm1l(long double x); 
+ 
+floating_point fdim (arithmetic x, arithmetic y); 
+float          fdimf(float x, float y); 
+long double    fdiml(long double x, long double y); 
+ 
+floating_point fma (arithmetic x, arithmetic y, arithmetic z); 
+float          fmaf(float x, float y, float z); 
+long double    fmal(long double x, long double y, long double z); 
+ 
+floating_point fmax (arithmetic x, arithmetic y); 
+float          fmaxf(float x, float y); 
+long double    fmaxl(long double x, long double y); 
+ 
+floating_point fmin (arithmetic x, arithmetic y); 
+float          fminf(float x, float y); 
+long double    fminl(long double x, long double y); 
+ 
+floating_point hypot (arithmetic x, arithmetic y); 
+float          hypotf(float x, float y); 
+long double    hypotl(long double x, long double y); 
+ 
+double       hypot(double x, double y, double z);                // C++17 
+float        hypot(float x, float y, float z);                   // C++17 
+long double  hypot(long double x, long double y, long double z); // C++17 
+ 
+int ilogb (arithmetic x); 
+int ilogbf(float x); 
+int ilogbl(long double x); 
+ 
+floating_point lgamma (arithmetic x); 
+float          lgammaf(float x); 
+long double    lgammal(long double x); 
+ 
+long long llrint (arithmetic x); 
+long long llrintf(float x); 
+long long llrintl(long double x); 
+ 
+long long llround (arithmetic x); 
+long long llroundf(float x); 
+long long llroundl(long double x); 
+ 
+floating_point log1p (arithmetic x); 
+float          log1pf(float x); 
+long double    log1pl(long double x); 
+ 
+floating_point log2 (arithmetic x); 
+float          log2f(float x); 
+long double    log2l(long double x); 
+ 
+floating_point logb (arithmetic x); 
+float          logbf(float x); 
+long double    logbl(long double x); 
+ 
+long lrint (arithmetic x); 
+long lrintf(float x); 
+long lrintl(long double x); 
+ 
+long lround (arithmetic x); 
+long lroundf(float x); 
+long lroundl(long double x); 
+ 
+double      nan (const char* str); 
+float       nanf(const char* str); 
+long double nanl(const char* str); 
+ 
+floating_point nearbyint (arithmetic x); 
+float          nearbyintf(float x); 
+long double    nearbyintl(long double x); 
+ 
+floating_point nextafter (arithmetic x, arithmetic y); 
+float          nextafterf(float x, float y); 
+long double    nextafterl(long double x, long double y); 
+ 
+floating_point nexttoward (arithmetic x, long double y); 
+float          nexttowardf(float x, long double y); 
+long double    nexttowardl(long double x, long double y); 
+ 
+floating_point remainder (arithmetic x, arithmetic y); 
+float          remainderf(float x, float y); 
+long double    remainderl(long double x, long double y); 
+ 
+floating_point remquo (arithmetic x, arithmetic y, int* pquo); 
+float          remquof(float x, float y, int* pquo); 
+long double    remquol(long double x, long double y, int* pquo); 
+ 
+floating_point rint (arithmetic x); 
+float          rintf(float x); 
+long double    rintl(long double x); 
+ 
+floating_point round (arithmetic x); 
+float          roundf(float x); 
+long double    roundl(long double x); 
+ 
+floating_point scalbln (arithmetic x, long ex); 
+float          scalblnf(float x, long ex); 
+long double    scalblnl(long double x, long ex); 
+ 
+floating_point scalbn (arithmetic x, int ex); 
+float          scalbnf(float x, int ex); 
+long double    scalbnl(long double x, int ex); 
+ 
+floating_point tgamma (arithmetic x); 
+float          tgammaf(float x); 
+long double    tgammal(long double x); 
+ 
+floating_point trunc (arithmetic x); 
+float          truncf(float x); 
+long double    truncl(long double x); 
+ 
+constexpr float       lerp(float a, float b, float t) noexcept;                   // C++20 
+constexpr double      lerp(double a, double b, double t) noexcept;                // C++20 
+constexpr long double lerp(long double a, long double b, long double t) noexcept; // C++20 
+ 
+}  // std 
+ 
+*/ 
+ 
+#include <__config> 
+#include <math.h> 
 #include <version>
-#include <type_traits>
-
-#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
-#pragma GCC system_header
-#endif
-
-_LIBCPP_PUSH_MACROS
-#include <__undef_macros>
-
-_LIBCPP_BEGIN_NAMESPACE_STD
-
-using ::signbit _LIBCPP_USING_IF_EXISTS;
-using ::fpclassify _LIBCPP_USING_IF_EXISTS;
-using ::isfinite _LIBCPP_USING_IF_EXISTS;
-using ::isinf _LIBCPP_USING_IF_EXISTS;
-using ::isnan _LIBCPP_USING_IF_EXISTS;
-using ::isnormal _LIBCPP_USING_IF_EXISTS;
-using ::isgreater _LIBCPP_USING_IF_EXISTS;
-using ::isgreaterequal _LIBCPP_USING_IF_EXISTS;
-using ::isless _LIBCPP_USING_IF_EXISTS;
-using ::islessequal _LIBCPP_USING_IF_EXISTS;
-using ::islessgreater _LIBCPP_USING_IF_EXISTS;
-using ::isunordered _LIBCPP_USING_IF_EXISTS;
-using ::isunordered _LIBCPP_USING_IF_EXISTS;
-
-using ::float_t _LIBCPP_USING_IF_EXISTS;
-using ::double_t _LIBCPP_USING_IF_EXISTS;
-
-using ::abs _LIBCPP_USING_IF_EXISTS;
-
-using ::acos _LIBCPP_USING_IF_EXISTS;
-using ::acosf _LIBCPP_USING_IF_EXISTS;
-using ::asin _LIBCPP_USING_IF_EXISTS;
-using ::asinf _LIBCPP_USING_IF_EXISTS;
-using ::atan _LIBCPP_USING_IF_EXISTS;
-using ::atanf _LIBCPP_USING_IF_EXISTS;
-using ::atan2 _LIBCPP_USING_IF_EXISTS;
-using ::atan2f _LIBCPP_USING_IF_EXISTS;
-using ::ceil _LIBCPP_USING_IF_EXISTS;
-using ::ceilf _LIBCPP_USING_IF_EXISTS;
-using ::cos _LIBCPP_USING_IF_EXISTS;
-using ::cosf _LIBCPP_USING_IF_EXISTS;
-using ::cosh _LIBCPP_USING_IF_EXISTS;
-using ::coshf _LIBCPP_USING_IF_EXISTS;
-
-using ::exp _LIBCPP_USING_IF_EXISTS;
-using ::expf _LIBCPP_USING_IF_EXISTS;
-
-using ::fabs _LIBCPP_USING_IF_EXISTS;
-using ::fabsf _LIBCPP_USING_IF_EXISTS;
-using ::floor _LIBCPP_USING_IF_EXISTS;
-using ::floorf _LIBCPP_USING_IF_EXISTS;
-
-using ::fmod _LIBCPP_USING_IF_EXISTS;
-using ::fmodf _LIBCPP_USING_IF_EXISTS;
-
-using ::frexp _LIBCPP_USING_IF_EXISTS;
-using ::frexpf _LIBCPP_USING_IF_EXISTS;
-using ::ldexp _LIBCPP_USING_IF_EXISTS;
-using ::ldexpf _LIBCPP_USING_IF_EXISTS;
-
-using ::log _LIBCPP_USING_IF_EXISTS;
-using ::logf _LIBCPP_USING_IF_EXISTS;
-
-using ::log10 _LIBCPP_USING_IF_EXISTS;
-using ::log10f _LIBCPP_USING_IF_EXISTS;
-using ::modf _LIBCPP_USING_IF_EXISTS;
-using ::modff _LIBCPP_USING_IF_EXISTS;
-
-using ::pow _LIBCPP_USING_IF_EXISTS;
-using ::powf _LIBCPP_USING_IF_EXISTS;
-
-using ::sin _LIBCPP_USING_IF_EXISTS;
-using ::sinf _LIBCPP_USING_IF_EXISTS;
-using ::sinh _LIBCPP_USING_IF_EXISTS;
-using ::sinhf _LIBCPP_USING_IF_EXISTS;
-
-using ::sqrt _LIBCPP_USING_IF_EXISTS;
-using ::sqrtf _LIBCPP_USING_IF_EXISTS;
-using ::tan _LIBCPP_USING_IF_EXISTS;
-using ::tanf _LIBCPP_USING_IF_EXISTS;
-
-using ::tanh _LIBCPP_USING_IF_EXISTS;
-using ::tanhf _LIBCPP_USING_IF_EXISTS;
-
-using ::acosh _LIBCPP_USING_IF_EXISTS;
-using ::acoshf _LIBCPP_USING_IF_EXISTS;
-using ::asinh _LIBCPP_USING_IF_EXISTS;
-using ::asinhf _LIBCPP_USING_IF_EXISTS;
-using ::atanh _LIBCPP_USING_IF_EXISTS;
-using ::atanhf _LIBCPP_USING_IF_EXISTS;
-using ::cbrt _LIBCPP_USING_IF_EXISTS;
-using ::cbrtf _LIBCPP_USING_IF_EXISTS;
-
-using ::copysign _LIBCPP_USING_IF_EXISTS;
-using ::copysignf _LIBCPP_USING_IF_EXISTS;
-
-using ::erf _LIBCPP_USING_IF_EXISTS;
-using ::erff _LIBCPP_USING_IF_EXISTS;
-using ::erfc _LIBCPP_USING_IF_EXISTS;
-using ::erfcf _LIBCPP_USING_IF_EXISTS;
-using ::exp2 _LIBCPP_USING_IF_EXISTS;
-using ::exp2f _LIBCPP_USING_IF_EXISTS;
-using ::expm1 _LIBCPP_USING_IF_EXISTS;
-using ::expm1f _LIBCPP_USING_IF_EXISTS;
-using ::fdim _LIBCPP_USING_IF_EXISTS;
-using ::fdimf _LIBCPP_USING_IF_EXISTS;
-using ::fmaf _LIBCPP_USING_IF_EXISTS;
-using ::fma _LIBCPP_USING_IF_EXISTS;
-using ::fmax _LIBCPP_USING_IF_EXISTS;
-using ::fmaxf _LIBCPP_USING_IF_EXISTS;
-using ::fmin _LIBCPP_USING_IF_EXISTS;
-using ::fminf _LIBCPP_USING_IF_EXISTS;
-using ::hypot _LIBCPP_USING_IF_EXISTS;
-using ::hypotf _LIBCPP_USING_IF_EXISTS;
-using ::ilogb _LIBCPP_USING_IF_EXISTS;
-using ::ilogbf _LIBCPP_USING_IF_EXISTS;
-using ::lgamma _LIBCPP_USING_IF_EXISTS;
-using ::lgammaf _LIBCPP_USING_IF_EXISTS;
-using ::llrint _LIBCPP_USING_IF_EXISTS;
-using ::llrintf _LIBCPP_USING_IF_EXISTS;
-using ::llround _LIBCPP_USING_IF_EXISTS;
-using ::llroundf _LIBCPP_USING_IF_EXISTS;
-using ::log1p _LIBCPP_USING_IF_EXISTS;
-using ::log1pf _LIBCPP_USING_IF_EXISTS;
-using ::log2 _LIBCPP_USING_IF_EXISTS;
-using ::log2f _LIBCPP_USING_IF_EXISTS;
-using ::logb _LIBCPP_USING_IF_EXISTS;
-using ::logbf _LIBCPP_USING_IF_EXISTS;
-using ::lrint _LIBCPP_USING_IF_EXISTS;
-using ::lrintf _LIBCPP_USING_IF_EXISTS;
-using ::lround _LIBCPP_USING_IF_EXISTS;
-using ::lroundf _LIBCPP_USING_IF_EXISTS;
-
-using ::nan _LIBCPP_USING_IF_EXISTS;
-using ::nanf _LIBCPP_USING_IF_EXISTS;
-
-using ::nearbyint _LIBCPP_USING_IF_EXISTS;
-using ::nearbyintf _LIBCPP_USING_IF_EXISTS;
-using ::nextafter _LIBCPP_USING_IF_EXISTS;
-using ::nextafterf _LIBCPP_USING_IF_EXISTS;
-using ::nexttoward _LIBCPP_USING_IF_EXISTS;
-using ::nexttowardf _LIBCPP_USING_IF_EXISTS;
-using ::remainder _LIBCPP_USING_IF_EXISTS;
-using ::remainderf _LIBCPP_USING_IF_EXISTS;
-using ::remquo _LIBCPP_USING_IF_EXISTS;
-using ::remquof _LIBCPP_USING_IF_EXISTS;
-using ::rint _LIBCPP_USING_IF_EXISTS;
-using ::rintf _LIBCPP_USING_IF_EXISTS;
-using ::round _LIBCPP_USING_IF_EXISTS;
-using ::roundf _LIBCPP_USING_IF_EXISTS;
-using ::scalbln _LIBCPP_USING_IF_EXISTS;
-using ::scalblnf _LIBCPP_USING_IF_EXISTS;
-using ::scalbn _LIBCPP_USING_IF_EXISTS;
-using ::scalbnf _LIBCPP_USING_IF_EXISTS;
-using ::tgamma _LIBCPP_USING_IF_EXISTS;
-using ::tgammaf _LIBCPP_USING_IF_EXISTS;
-using ::trunc _LIBCPP_USING_IF_EXISTS;
-using ::truncf _LIBCPP_USING_IF_EXISTS;
-
-using ::acosl _LIBCPP_USING_IF_EXISTS;
-using ::asinl _LIBCPP_USING_IF_EXISTS;
-using ::atanl _LIBCPP_USING_IF_EXISTS;
-using ::atan2l _LIBCPP_USING_IF_EXISTS;
-using ::ceill _LIBCPP_USING_IF_EXISTS;
-using ::cosl _LIBCPP_USING_IF_EXISTS;
-using ::coshl _LIBCPP_USING_IF_EXISTS;
-using ::expl _LIBCPP_USING_IF_EXISTS;
-using ::fabsl _LIBCPP_USING_IF_EXISTS;
-using ::floorl _LIBCPP_USING_IF_EXISTS;
-using ::fmodl _LIBCPP_USING_IF_EXISTS;
-using ::frexpl _LIBCPP_USING_IF_EXISTS;
-using ::ldexpl _LIBCPP_USING_IF_EXISTS;
-using ::logl _LIBCPP_USING_IF_EXISTS;
-using ::log10l _LIBCPP_USING_IF_EXISTS;
-using ::modfl _LIBCPP_USING_IF_EXISTS;
-using ::powl _LIBCPP_USING_IF_EXISTS;
-using ::sinl _LIBCPP_USING_IF_EXISTS;
-using ::sinhl _LIBCPP_USING_IF_EXISTS;
-using ::sqrtl _LIBCPP_USING_IF_EXISTS;
-using ::tanl _LIBCPP_USING_IF_EXISTS;
-
-using ::tanhl _LIBCPP_USING_IF_EXISTS;
-using ::acoshl _LIBCPP_USING_IF_EXISTS;
-using ::asinhl _LIBCPP_USING_IF_EXISTS;
-using ::atanhl _LIBCPP_USING_IF_EXISTS;
-using ::cbrtl _LIBCPP_USING_IF_EXISTS;
-
-using ::copysignl _LIBCPP_USING_IF_EXISTS;
-
-using ::erfl _LIBCPP_USING_IF_EXISTS;
-using ::erfcl _LIBCPP_USING_IF_EXISTS;
-using ::exp2l _LIBCPP_USING_IF_EXISTS;
-using ::expm1l _LIBCPP_USING_IF_EXISTS;
-using ::fdiml _LIBCPP_USING_IF_EXISTS;
-using ::fmal _LIBCPP_USING_IF_EXISTS;
-using ::fmaxl _LIBCPP_USING_IF_EXISTS;
-using ::fminl _LIBCPP_USING_IF_EXISTS;
-using ::hypotl _LIBCPP_USING_IF_EXISTS;
-using ::ilogbl _LIBCPP_USING_IF_EXISTS;
-using ::lgammal _LIBCPP_USING_IF_EXISTS;
-using ::llrintl _LIBCPP_USING_IF_EXISTS;
-using ::llroundl _LIBCPP_USING_IF_EXISTS;
-using ::log1pl _LIBCPP_USING_IF_EXISTS;
-using ::log2l _LIBCPP_USING_IF_EXISTS;
-using ::logbl _LIBCPP_USING_IF_EXISTS;
-using ::lrintl _LIBCPP_USING_IF_EXISTS;
-using ::lroundl _LIBCPP_USING_IF_EXISTS;
-using ::nanl _LIBCPP_USING_IF_EXISTS;
-using ::nearbyintl _LIBCPP_USING_IF_EXISTS;
-using ::nextafterl _LIBCPP_USING_IF_EXISTS;
-using ::nexttowardl _LIBCPP_USING_IF_EXISTS;
-using ::remainderl _LIBCPP_USING_IF_EXISTS;
-using ::remquol _LIBCPP_USING_IF_EXISTS;
-using ::rintl _LIBCPP_USING_IF_EXISTS;
-using ::roundl _LIBCPP_USING_IF_EXISTS;
-using ::scalblnl _LIBCPP_USING_IF_EXISTS;
-using ::scalbnl _LIBCPP_USING_IF_EXISTS;
-using ::tgammal _LIBCPP_USING_IF_EXISTS;
-using ::truncl _LIBCPP_USING_IF_EXISTS;
-
-#if _LIBCPP_STD_VER > 14
-inline _LIBCPP_INLINE_VISIBILITY float       hypot(       float x,       float y,       float z ) { return sqrt(x*x + y*y + z*z); }
-inline _LIBCPP_INLINE_VISIBILITY double      hypot(      double x,      double y,      double z ) { return sqrt(x*x + y*y + z*z); }
-inline _LIBCPP_INLINE_VISIBILITY long double hypot( long double x, long double y, long double z ) { return sqrt(x*x + y*y + z*z); }
-
-template <class _A1, class _A2, class _A3>
-inline _LIBCPP_INLINE_VISIBILITY
-typename enable_if_t
-<
-    is_arithmetic<_A1>::value &&
-    is_arithmetic<_A2>::value &&
-    is_arithmetic<_A3>::value,
-    __promote<_A1, _A2, _A3>
->::type
-hypot(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT
-{
-    typedef typename __promote<_A1, _A2, _A3>::type __result_type;
-    static_assert((!(is_same<_A1, __result_type>::value &&
-                     is_same<_A2, __result_type>::value &&
-                     is_same<_A3, __result_type>::value)), "");
-    return hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z);
-}
-#endif
-
-template <class _A1>
-_LIBCPP_INLINE_VISIBILITY
+#include <type_traits> 
+ 
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 
+#pragma GCC system_header 
+#endif 
+ 
+_LIBCPP_PUSH_MACROS 
+#include <__undef_macros> 
+ 
+_LIBCPP_BEGIN_NAMESPACE_STD 
+ 
+using ::signbit _LIBCPP_USING_IF_EXISTS; 
+using ::fpclassify _LIBCPP_USING_IF_EXISTS; 
+using ::isfinite _LIBCPP_USING_IF_EXISTS; 
+using ::isinf _LIBCPP_USING_IF_EXISTS; 
+using ::isnan _LIBCPP_USING_IF_EXISTS; 
+using ::isnormal _LIBCPP_USING_IF_EXISTS; 
+using ::isgreater _LIBCPP_USING_IF_EXISTS; 
+using ::isgreaterequal _LIBCPP_USING_IF_EXISTS; 
+using ::isless _LIBCPP_USING_IF_EXISTS; 
+using ::islessequal _LIBCPP_USING_IF_EXISTS; 
+using ::islessgreater _LIBCPP_USING_IF_EXISTS; 
+using ::isunordered _LIBCPP_USING_IF_EXISTS; 
+using ::isunordered _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::float_t _LIBCPP_USING_IF_EXISTS; 
+using ::double_t _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::abs _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::acos _LIBCPP_USING_IF_EXISTS; 
+using ::acosf _LIBCPP_USING_IF_EXISTS; 
+using ::asin _LIBCPP_USING_IF_EXISTS; 
+using ::asinf _LIBCPP_USING_IF_EXISTS; 
+using ::atan _LIBCPP_USING_IF_EXISTS; 
+using ::atanf _LIBCPP_USING_IF_EXISTS; 
+using ::atan2 _LIBCPP_USING_IF_EXISTS; 
+using ::atan2f _LIBCPP_USING_IF_EXISTS; 
+using ::ceil _LIBCPP_USING_IF_EXISTS; 
+using ::ceilf _LIBCPP_USING_IF_EXISTS; 
+using ::cos _LIBCPP_USING_IF_EXISTS; 
+using ::cosf _LIBCPP_USING_IF_EXISTS; 
+using ::cosh _LIBCPP_USING_IF_EXISTS; 
+using ::coshf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::exp _LIBCPP_USING_IF_EXISTS; 
+using ::expf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::fabs _LIBCPP_USING_IF_EXISTS; 
+using ::fabsf _LIBCPP_USING_IF_EXISTS; 
+using ::floor _LIBCPP_USING_IF_EXISTS; 
+using ::floorf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::fmod _LIBCPP_USING_IF_EXISTS; 
+using ::fmodf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::frexp _LIBCPP_USING_IF_EXISTS; 
+using ::frexpf _LIBCPP_USING_IF_EXISTS; 
+using ::ldexp _LIBCPP_USING_IF_EXISTS; 
+using ::ldexpf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::log _LIBCPP_USING_IF_EXISTS; 
+using ::logf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::log10 _LIBCPP_USING_IF_EXISTS; 
+using ::log10f _LIBCPP_USING_IF_EXISTS; 
+using ::modf _LIBCPP_USING_IF_EXISTS; 
+using ::modff _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::pow _LIBCPP_USING_IF_EXISTS; 
+using ::powf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::sin _LIBCPP_USING_IF_EXISTS; 
+using ::sinf _LIBCPP_USING_IF_EXISTS; 
+using ::sinh _LIBCPP_USING_IF_EXISTS; 
+using ::sinhf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::sqrt _LIBCPP_USING_IF_EXISTS; 
+using ::sqrtf _LIBCPP_USING_IF_EXISTS; 
+using ::tan _LIBCPP_USING_IF_EXISTS; 
+using ::tanf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::tanh _LIBCPP_USING_IF_EXISTS; 
+using ::tanhf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::acosh _LIBCPP_USING_IF_EXISTS; 
+using ::acoshf _LIBCPP_USING_IF_EXISTS; 
+using ::asinh _LIBCPP_USING_IF_EXISTS; 
+using ::asinhf _LIBCPP_USING_IF_EXISTS; 
+using ::atanh _LIBCPP_USING_IF_EXISTS; 
+using ::atanhf _LIBCPP_USING_IF_EXISTS; 
+using ::cbrt _LIBCPP_USING_IF_EXISTS; 
+using ::cbrtf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::copysign _LIBCPP_USING_IF_EXISTS; 
+using ::copysignf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::erf _LIBCPP_USING_IF_EXISTS; 
+using ::erff _LIBCPP_USING_IF_EXISTS; 
+using ::erfc _LIBCPP_USING_IF_EXISTS; 
+using ::erfcf _LIBCPP_USING_IF_EXISTS; 
+using ::exp2 _LIBCPP_USING_IF_EXISTS; 
+using ::exp2f _LIBCPP_USING_IF_EXISTS; 
+using ::expm1 _LIBCPP_USING_IF_EXISTS; 
+using ::expm1f _LIBCPP_USING_IF_EXISTS; 
+using ::fdim _LIBCPP_USING_IF_EXISTS; 
+using ::fdimf _LIBCPP_USING_IF_EXISTS; 
+using ::fmaf _LIBCPP_USING_IF_EXISTS; 
+using ::fma _LIBCPP_USING_IF_EXISTS; 
+using ::fmax _LIBCPP_USING_IF_EXISTS; 
+using ::fmaxf _LIBCPP_USING_IF_EXISTS; 
+using ::fmin _LIBCPP_USING_IF_EXISTS; 
+using ::fminf _LIBCPP_USING_IF_EXISTS; 
+using ::hypot _LIBCPP_USING_IF_EXISTS; 
+using ::hypotf _LIBCPP_USING_IF_EXISTS; 
+using ::ilogb _LIBCPP_USING_IF_EXISTS; 
+using ::ilogbf _LIBCPP_USING_IF_EXISTS; 
+using ::lgamma _LIBCPP_USING_IF_EXISTS; 
+using ::lgammaf _LIBCPP_USING_IF_EXISTS; 
+using ::llrint _LIBCPP_USING_IF_EXISTS; 
+using ::llrintf _LIBCPP_USING_IF_EXISTS; 
+using ::llround _LIBCPP_USING_IF_EXISTS; 
+using ::llroundf _LIBCPP_USING_IF_EXISTS; 
+using ::log1p _LIBCPP_USING_IF_EXISTS; 
+using ::log1pf _LIBCPP_USING_IF_EXISTS; 
+using ::log2 _LIBCPP_USING_IF_EXISTS; 
+using ::log2f _LIBCPP_USING_IF_EXISTS; 
+using ::logb _LIBCPP_USING_IF_EXISTS; 
+using ::logbf _LIBCPP_USING_IF_EXISTS; 
+using ::lrint _LIBCPP_USING_IF_EXISTS; 
+using ::lrintf _LIBCPP_USING_IF_EXISTS; 
+using ::lround _LIBCPP_USING_IF_EXISTS; 
+using ::lroundf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::nan _LIBCPP_USING_IF_EXISTS; 
+using ::nanf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::nearbyint _LIBCPP_USING_IF_EXISTS; 
+using ::nearbyintf _LIBCPP_USING_IF_EXISTS; 
+using ::nextafter _LIBCPP_USING_IF_EXISTS; 
+using ::nextafterf _LIBCPP_USING_IF_EXISTS; 
+using ::nexttoward _LIBCPP_USING_IF_EXISTS; 
+using ::nexttowardf _LIBCPP_USING_IF_EXISTS; 
+using ::remainder _LIBCPP_USING_IF_EXISTS; 
+using ::remainderf _LIBCPP_USING_IF_EXISTS; 
+using ::remquo _LIBCPP_USING_IF_EXISTS; 
+using ::remquof _LIBCPP_USING_IF_EXISTS; 
+using ::rint _LIBCPP_USING_IF_EXISTS; 
+using ::rintf _LIBCPP_USING_IF_EXISTS; 
+using ::round _LIBCPP_USING_IF_EXISTS; 
+using ::roundf _LIBCPP_USING_IF_EXISTS; 
+using ::scalbln _LIBCPP_USING_IF_EXISTS; 
+using ::scalblnf _LIBCPP_USING_IF_EXISTS; 
+using ::scalbn _LIBCPP_USING_IF_EXISTS; 
+using ::scalbnf _LIBCPP_USING_IF_EXISTS; 
+using ::tgamma _LIBCPP_USING_IF_EXISTS; 
+using ::tgammaf _LIBCPP_USING_IF_EXISTS; 
+using ::trunc _LIBCPP_USING_IF_EXISTS; 
+using ::truncf _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::acosl _LIBCPP_USING_IF_EXISTS; 
+using ::asinl _LIBCPP_USING_IF_EXISTS; 
+using ::atanl _LIBCPP_USING_IF_EXISTS; 
+using ::atan2l _LIBCPP_USING_IF_EXISTS; 
+using ::ceill _LIBCPP_USING_IF_EXISTS; 
+using ::cosl _LIBCPP_USING_IF_EXISTS; 
+using ::coshl _LIBCPP_USING_IF_EXISTS; 
+using ::expl _LIBCPP_USING_IF_EXISTS; 
+using ::fabsl _LIBCPP_USING_IF_EXISTS; 
+using ::floorl _LIBCPP_USING_IF_EXISTS; 
+using ::fmodl _LIBCPP_USING_IF_EXISTS; 
+using ::frexpl _LIBCPP_USING_IF_EXISTS; 
+using ::ldexpl _LIBCPP_USING_IF_EXISTS; 
+using ::logl _LIBCPP_USING_IF_EXISTS; 
+using ::log10l _LIBCPP_USING_IF_EXISTS; 
+using ::modfl _LIBCPP_USING_IF_EXISTS; 
+using ::powl _LIBCPP_USING_IF_EXISTS; 
+using ::sinl _LIBCPP_USING_IF_EXISTS; 
+using ::sinhl _LIBCPP_USING_IF_EXISTS; 
+using ::sqrtl _LIBCPP_USING_IF_EXISTS; 
+using ::tanl _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::tanhl _LIBCPP_USING_IF_EXISTS; 
+using ::acoshl _LIBCPP_USING_IF_EXISTS; 
+using ::asinhl _LIBCPP_USING_IF_EXISTS; 
+using ::atanhl _LIBCPP_USING_IF_EXISTS; 
+using ::cbrtl _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::copysignl _LIBCPP_USING_IF_EXISTS; 
+ 
+using ::erfl _LIBCPP_USING_IF_EXISTS; 
+using ::erfcl _LIBCPP_USING_IF_EXISTS; 
+using ::exp2l _LIBCPP_USING_IF_EXISTS; 
+using ::expm1l _LIBCPP_USING_IF_EXISTS; 
+using ::fdiml _LIBCPP_USING_IF_EXISTS; 
+using ::fmal _LIBCPP_USING_IF_EXISTS; 
+using ::fmaxl _LIBCPP_USING_IF_EXISTS; 
+using ::fminl _LIBCPP_USING_IF_EXISTS; 
+using ::hypotl _LIBCPP_USING_IF_EXISTS; 
+using ::ilogbl _LIBCPP_USING_IF_EXISTS; 
+using ::lgammal _LIBCPP_USING_IF_EXISTS; 
+using ::llrintl _LIBCPP_USING_IF_EXISTS; 
+using ::llroundl _LIBCPP_USING_IF_EXISTS; 
+using ::log1pl _LIBCPP_USING_IF_EXISTS; 
+using ::log2l _LIBCPP_USING_IF_EXISTS; 
+using ::logbl _LIBCPP_USING_IF_EXISTS; 
+using ::lrintl _LIBCPP_USING_IF_EXISTS; 
+using ::lroundl _LIBCPP_USING_IF_EXISTS; 
+using ::nanl _LIBCPP_USING_IF_EXISTS; 
+using ::nearbyintl _LIBCPP_USING_IF_EXISTS; 
+using ::nextafterl _LIBCPP_USING_IF_EXISTS; 
+using ::nexttowardl _LIBCPP_USING_IF_EXISTS; 
+using ::remainderl _LIBCPP_USING_IF_EXISTS; 
+using ::remquol _LIBCPP_USING_IF_EXISTS; 
+using ::rintl _LIBCPP_USING_IF_EXISTS; 
+using ::roundl _LIBCPP_USING_IF_EXISTS; 
+using ::scalblnl _LIBCPP_USING_IF_EXISTS; 
+using ::scalbnl _LIBCPP_USING_IF_EXISTS; 
+using ::tgammal _LIBCPP_USING_IF_EXISTS; 
+using ::truncl _LIBCPP_USING_IF_EXISTS; 
+ 
+#if _LIBCPP_STD_VER > 14 
+inline _LIBCPP_INLINE_VISIBILITY float       hypot(       float x,       float y,       float z ) { return sqrt(x*x + y*y + z*z); } 
+inline _LIBCPP_INLINE_VISIBILITY double      hypot(      double x,      double y,      double z ) { return sqrt(x*x + y*y + z*z); } 
+inline _LIBCPP_INLINE_VISIBILITY long double hypot( long double x, long double y, long double z ) { return sqrt(x*x + y*y + z*z); } 
+ 
+template <class _A1, class _A2, class _A3> 
+inline _LIBCPP_INLINE_VISIBILITY 
+typename enable_if_t 
+< 
+    is_arithmetic<_A1>::value && 
+    is_arithmetic<_A2>::value && 
+    is_arithmetic<_A3>::value, 
+    __promote<_A1, _A2, _A3> 
+>::type 
+hypot(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT 
+{ 
+    typedef typename __promote<_A1, _A2, _A3>::type __result_type; 
+    static_assert((!(is_same<_A1, __result_type>::value && 
+                     is_same<_A2, __result_type>::value && 
+                     is_same<_A3, __result_type>::value)), ""); 
+    return hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z); 
+} 
+#endif 
+ 
+template <class _A1> 
+_LIBCPP_INLINE_VISIBILITY 
 _LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::value, bool>::type
-__libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT
-{
-#if __has_builtin(__builtin_isnan)
-    return __builtin_isnan(__lcpp_x);
-#else
-    return isnan(__lcpp_x);
-#endif
-}
-
-template <class _A1>
-_LIBCPP_INLINE_VISIBILITY
+__libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT 
+{ 
+#if __has_builtin(__builtin_isnan) 
+    return __builtin_isnan(__lcpp_x); 
+#else 
+    return isnan(__lcpp_x); 
+#endif 
+} 
+ 
+template <class _A1> 
+_LIBCPP_INLINE_VISIBILITY 
 _LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type
-__libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT
-{
-    return isnan(__lcpp_x);
-}
-
-template <class _A1>
-_LIBCPP_INLINE_VISIBILITY
+__libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT 
+{ 
+    return isnan(__lcpp_x); 
+} 
+ 
+template <class _A1> 
+_LIBCPP_INLINE_VISIBILITY 
 _LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::value, bool>::type
-__libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT
-{
-#if __has_builtin(__builtin_isinf)
-    return __builtin_isinf(__lcpp_x);
-#else
-    return isinf(__lcpp_x);
-#endif
-}
-
-template <class _A1>
-_LIBCPP_INLINE_VISIBILITY
+__libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT 
+{ 
+#if __has_builtin(__builtin_isinf) 
+    return __builtin_isinf(__lcpp_x); 
+#else 
+    return isinf(__lcpp_x); 
+#endif 
+} 
+ 
+template <class _A1> 
+_LIBCPP_INLINE_VISIBILITY 
 _LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type
-__libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT
-{
-    return isinf(__lcpp_x);
-}
-
-template <class _A1>
-_LIBCPP_INLINE_VISIBILITY
+__libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT 
+{ 
+    return isinf(__lcpp_x); 
+} 
+ 
+template <class _A1> 
+_LIBCPP_INLINE_VISIBILITY 
 _LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::value, bool>::type
-__libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT
-{
-#if __has_builtin(__builtin_isfinite)
-    return __builtin_isfinite(__lcpp_x);
-#else
-    return isfinite(__lcpp_x);
-#endif
-}
-
-template <class _A1>
-_LIBCPP_INLINE_VISIBILITY
+__libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT 
+{ 
+#if __has_builtin(__builtin_isfinite) 
+    return __builtin_isfinite(__lcpp_x); 
+#else 
+    return isfinite(__lcpp_x); 
+#endif 
+} 
+ 
+template <class _A1> 
+_LIBCPP_INLINE_VISIBILITY 
 _LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type
-__libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT
-{
-    return isfinite(__lcpp_x);
-}
-
-#if _LIBCPP_STD_VER > 17
-template <typename _Fp>
-constexpr
-_Fp __lerp(_Fp __a, _Fp __b, _Fp __t) noexcept {
-    if ((__a <= 0 && __b >= 0) || (__a >= 0 && __b <= 0))
-        return __t * __b + (1 - __t) * __a;
-
-    if (__t == 1) return __b;
-    const _Fp __x = __a + __t * (__b - __a);
-    if ((__t > 1) == (__b > __a))
+__libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT 
+{ 
+    return isfinite(__lcpp_x); 
+} 
+ 
+#if _LIBCPP_STD_VER > 17 
+template <typename _Fp> 
+constexpr 
+_Fp __lerp(_Fp __a, _Fp __b, _Fp __t) noexcept { 
+    if ((__a <= 0 && __b >= 0) || (__a >= 0 && __b <= 0)) 
+        return __t * __b + (1 - __t) * __a; 
+ 
+    if (__t == 1) return __b; 
+    const _Fp __x = __a + __t * (__b - __a); 
+    if ((__t > 1) == (__b > __a)) 
     	return __b < __x ? __x : __b;
-    else
+    else 
     	return __x < __b ? __x : __b;
-}
-
-constexpr float
-lerp(float __a, float __b, float __t)                   _NOEXCEPT { return __lerp(__a, __b, __t); }
-
-constexpr double
-lerp(double __a, double __b, double __t)                _NOEXCEPT { return __lerp(__a, __b, __t); }
-
-constexpr long double
-lerp(long double __a, long double __b, long double __t) _NOEXCEPT { return __lerp(__a, __b, __t); }
-
-#endif // _LIBCPP_STD_VER > 17
-
-template <class _IntT, class _FloatT,
-    bool _FloatBigger = (numeric_limits<_FloatT>::digits > numeric_limits<_IntT>::digits),
-    int _Bits = (numeric_limits<_IntT>::digits - numeric_limits<_FloatT>::digits)>
-_LIBCPP_INLINE_VISIBILITY
-_LIBCPP_CONSTEXPR _IntT __max_representable_int_for_float() _NOEXCEPT {
-  static_assert(is_floating_point<_FloatT>::value, "must be a floating point type");
-  static_assert(is_integral<_IntT>::value, "must be an integral type");
-  static_assert(numeric_limits<_FloatT>::radix == 2, "FloatT has incorrect radix");
-  static_assert((_IsSame<_FloatT, float>::value || _IsSame<_FloatT, double>::value
-                 || _IsSame<_FloatT,long double>::value), "unsupported floating point type");
-  return _FloatBigger ? numeric_limits<_IntT>::max() :  (numeric_limits<_IntT>::max() >> _Bits << _Bits);
-}
-
-// Convert a floating point number to the specified integral type after
-// clamping to the integral types representable range.
-//
-// The behavior is undefined if `__r` is NaN.
-template <class _IntT, class _RealT>
-_LIBCPP_INLINE_VISIBILITY
-_IntT __clamp_to_integral(_RealT __r) _NOEXCEPT {
-  using _Lim = numeric_limits<_IntT>;
-  const _IntT _MaxVal = __max_representable_int_for_float<_IntT, _RealT>();
-  if (__r >= ::nextafter(static_cast<_RealT>(_MaxVal), INFINITY)) {
-    return _Lim::max();
-  } else if (__r <= _Lim::lowest()) {
-    return _Lim::min();
-  }
-  return static_cast<_IntT>(__r);
-}
-
-_LIBCPP_END_NAMESPACE_STD
-
-_LIBCPP_POP_MACROS
-
-#endif // _LIBCPP_CMATH
+} 
+ 
+constexpr float 
+lerp(float __a, float __b, float __t)                   _NOEXCEPT { return __lerp(__a, __b, __t); } 
+ 
+constexpr double 
+lerp(double __a, double __b, double __t)                _NOEXCEPT { return __lerp(__a, __b, __t); } 
+ 
+constexpr long double 
+lerp(long double __a, long double __b, long double __t) _NOEXCEPT { return __lerp(__a, __b, __t); } 
+ 
+#endif // _LIBCPP_STD_VER > 17 
+ 
+template <class _IntT, class _FloatT, 
+    bool _FloatBigger = (numeric_limits<_FloatT>::digits > numeric_limits<_IntT>::digits), 
+    int _Bits = (numeric_limits<_IntT>::digits - numeric_limits<_FloatT>::digits)> 
+_LIBCPP_INLINE_VISIBILITY 
+_LIBCPP_CONSTEXPR _IntT __max_representable_int_for_float() _NOEXCEPT { 
+  static_assert(is_floating_point<_FloatT>::value, "must be a floating point type"); 
+  static_assert(is_integral<_IntT>::value, "must be an integral type"); 
+  static_assert(numeric_limits<_FloatT>::radix == 2, "FloatT has incorrect radix"); 
+  static_assert((_IsSame<_FloatT, float>::value || _IsSame<_FloatT, double>::value 
+                 || _IsSame<_FloatT,long double>::value), "unsupported floating point type"); 
+  return _FloatBigger ? numeric_limits<_IntT>::max() :  (numeric_limits<_IntT>::max() >> _Bits << _Bits); 
+} 
+ 
+// Convert a floating point number to the specified integral type after 
+// clamping to the integral types representable range. 
+// 
+// The behavior is undefined if `__r` is NaN. 
+template <class _IntT, class _RealT> 
+_LIBCPP_INLINE_VISIBILITY 
+_IntT __clamp_to_integral(_RealT __r) _NOEXCEPT { 
+  using _Lim = numeric_limits<_IntT>; 
+  const _IntT _MaxVal = __max_representable_int_for_float<_IntT, _RealT>(); 
+  if (__r >= ::nextafter(static_cast<_RealT>(_MaxVal), INFINITY)) { 
+    return _Lim::max(); 
+  } else if (__r <= _Lim::lowest()) { 
+    return _Lim::min(); 
+  } 
+  return static_cast<_IntT>(__r); 
+} 
+ 
+_LIBCPP_END_NAMESPACE_STD 
+ 
+_LIBCPP_POP_MACROS 
+ 
+#endif // _LIBCPP_CMATH