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author | shmel1k <shmel1k@ydb.tech> | 2022-09-02 12:44:59 +0300 |
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committer | shmel1k <shmel1k@ydb.tech> | 2022-09-02 12:44:59 +0300 |
commit | 90d450f74722da7859d6f510a869f6c6908fd12f (patch) | |
tree | 538c718dedc76cdfe37ad6d01ff250dd930d9278 /contrib/libs/clapack/cgesc2.c | |
parent | 01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff) | |
download | ydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz |
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/cgesc2.c')
-rw-r--r-- | contrib/libs/clapack/cgesc2.c | 206 |
1 files changed, 206 insertions, 0 deletions
diff --git a/contrib/libs/clapack/cgesc2.c b/contrib/libs/clapack/cgesc2.c new file mode 100644 index 0000000000..111103e767 --- /dev/null +++ b/contrib/libs/clapack/cgesc2.c @@ -0,0 +1,206 @@ +/* cgesc2.f -- translated by f2c (version 20061008). + You must link the resulting object file with libf2c: + on Microsoft Windows system, link with libf2c.lib; + on Linux or Unix systems, link with .../path/to/libf2c.a -lm + or, if you install libf2c.a in a standard place, with -lf2c -lm + -- in that order, at the end of the command line, as in + cc *.o -lf2c -lm + Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., + + http://www.netlib.org/f2c/libf2c.zip +*/ + +#include "f2c.h" +#include "blaswrap.h" + +/* Table of constant values */ + +static integer c__1 = 1; +static complex c_b13 = {1.f,0.f}; +static integer c_n1 = -1; + +/* Subroutine */ int cgesc2_(integer *n, complex *a, integer *lda, complex * + rhs, integer *ipiv, integer *jpiv, real *scale) +{ + /* System generated locals */ + integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5, i__6; + real r__1; + complex q__1, q__2, q__3; + + /* Builtin functions */ + double c_abs(complex *); + void c_div(complex *, complex *, complex *); + + /* Local variables */ + integer i__, j; + real eps; + complex temp; + extern /* Subroutine */ int cscal_(integer *, complex *, complex *, + integer *), slabad_(real *, real *); + extern integer icamax_(integer *, complex *, integer *); + extern doublereal slamch_(char *); + real bignum; + extern /* Subroutine */ int claswp_(integer *, complex *, integer *, + integer *, integer *, integer *, integer *); + real smlnum; + + +/* -- LAPACK auxiliary routine (version 3.2) -- */ +/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ +/* November 2006 */ + +/* .. Scalar Arguments .. */ +/* .. */ +/* .. Array Arguments .. */ +/* .. */ + +/* Purpose */ +/* ======= */ + +/* CGESC2 solves a system of linear equations */ + +/* A * X = scale* RHS */ + +/* with a general N-by-N matrix A using the LU factorization with */ +/* complete pivoting computed by CGETC2. */ + + +/* Arguments */ +/* ========= */ + +/* N (input) INTEGER */ +/* The number of columns of the matrix A. */ + +/* A (input) COMPLEX array, dimension (LDA, N) */ +/* On entry, the LU part of the factorization of the n-by-n */ +/* matrix A computed by CGETC2: A = P * L * U * Q */ + +/* LDA (input) INTEGER */ +/* The leading dimension of the array A. LDA >= max(1, N). */ + +/* RHS (input/output) COMPLEX array, dimension N. */ +/* On entry, the right hand side vector b. */ +/* On exit, the solution vector X. */ + +/* IPIV (input) INTEGER array, dimension (N). */ +/* The pivot indices; for 1 <= i <= N, row i of the */ +/* matrix has been interchanged with row IPIV(i). */ + +/* JPIV (input) INTEGER array, dimension (N). */ +/* The pivot indices; for 1 <= j <= N, column j of the */ +/* matrix has been interchanged with column JPIV(j). */ + +/* SCALE (output) REAL */ +/* On exit, SCALE contains the scale factor. SCALE is chosen */ +/* 0 <= SCALE <= 1 to prevent owerflow in the solution. */ + +/* Further Details */ +/* =============== */ + +/* Based on contributions by */ +/* Bo Kagstrom and Peter Poromaa, Department of Computing Science, */ +/* Umea University, S-901 87 Umea, Sweden. */ + +/* ===================================================================== */ + +/* .. Parameters .. */ +/* .. */ +/* .. Local Scalars .. */ +/* .. */ +/* .. External Subroutines .. */ +/* .. */ +/* .. External Functions .. */ +/* .. */ +/* .. Intrinsic Functions .. */ +/* .. */ +/* .. Executable Statements .. */ + +/* Set constant to control overflow */ + + /* Parameter adjustments */ + a_dim1 = *lda; + a_offset = 1 + a_dim1; + a -= a_offset; + --rhs; + --ipiv; + --jpiv; + + /* Function Body */ + eps = slamch_("P"); + smlnum = slamch_("S") / eps; + bignum = 1.f / smlnum; + slabad_(&smlnum, &bignum); + +/* Apply permutations IPIV to RHS */ + + i__1 = *n - 1; + claswp_(&c__1, &rhs[1], lda, &c__1, &i__1, &ipiv[1], &c__1); + +/* Solve for L part */ + + i__1 = *n - 1; + for (i__ = 1; i__ <= i__1; ++i__) { + i__2 = *n; + for (j = i__ + 1; j <= i__2; ++j) { + i__3 = j; + i__4 = j; + i__5 = j + i__ * a_dim1; + i__6 = i__; + q__2.r = a[i__5].r * rhs[i__6].r - a[i__5].i * rhs[i__6].i, + q__2.i = a[i__5].r * rhs[i__6].i + a[i__5].i * rhs[i__6] + .r; + q__1.r = rhs[i__4].r - q__2.r, q__1.i = rhs[i__4].i - q__2.i; + rhs[i__3].r = q__1.r, rhs[i__3].i = q__1.i; +/* L10: */ + } +/* L20: */ + } + +/* Solve for U part */ + + *scale = 1.f; + +/* Check for scaling */ + + i__ = icamax_(n, &rhs[1], &c__1); + if (smlnum * 2.f * c_abs(&rhs[i__]) > c_abs(&a[*n + *n * a_dim1])) { + r__1 = c_abs(&rhs[i__]); + q__1.r = .5f / r__1, q__1.i = 0.f / r__1; + temp.r = q__1.r, temp.i = q__1.i; + cscal_(n, &temp, &rhs[1], &c__1); + *scale *= temp.r; + } + for (i__ = *n; i__ >= 1; --i__) { + c_div(&q__1, &c_b13, &a[i__ + i__ * a_dim1]); + temp.r = q__1.r, temp.i = q__1.i; + i__1 = i__; + i__2 = i__; + q__1.r = rhs[i__2].r * temp.r - rhs[i__2].i * temp.i, q__1.i = rhs[ + i__2].r * temp.i + rhs[i__2].i * temp.r; + rhs[i__1].r = q__1.r, rhs[i__1].i = q__1.i; + i__1 = *n; + for (j = i__ + 1; j <= i__1; ++j) { + i__2 = i__; + i__3 = i__; + i__4 = j; + i__5 = i__ + j * a_dim1; + q__3.r = a[i__5].r * temp.r - a[i__5].i * temp.i, q__3.i = a[i__5] + .r * temp.i + a[i__5].i * temp.r; + q__2.r = rhs[i__4].r * q__3.r - rhs[i__4].i * q__3.i, q__2.i = + rhs[i__4].r * q__3.i + rhs[i__4].i * q__3.r; + q__1.r = rhs[i__3].r - q__2.r, q__1.i = rhs[i__3].i - q__2.i; + rhs[i__2].r = q__1.r, rhs[i__2].i = q__1.i; +/* L30: */ + } +/* L40: */ + } + +/* Apply permutations JPIV to the solution (RHS) */ + + i__1 = *n - 1; + claswp_(&c__1, &rhs[1], lda, &c__1, &i__1, &jpiv[1], &c_n1); + return 0; + +/* End of CGESC2 */ + +} /* cgesc2_ */ |