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authorshmel1k <shmel1k@ydb.tech>2022-09-02 12:44:59 +0300
committershmel1k <shmel1k@ydb.tech>2022-09-02 12:44:59 +0300
commit90d450f74722da7859d6f510a869f6c6908fd12f (patch)
tree538c718dedc76cdfe37ad6d01ff250dd930d9278 /contrib/libs/clapack/cgesc2.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/cgesc2.c')
-rw-r--r--contrib/libs/clapack/cgesc2.c206
1 files changed, 206 insertions, 0 deletions
diff --git a/contrib/libs/clapack/cgesc2.c b/contrib/libs/clapack/cgesc2.c
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+/* 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_ */