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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/sgetc2.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/sgetc2.c')
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1 files changed, 198 insertions, 0 deletions
diff --git a/contrib/libs/clapack/sgetc2.c b/contrib/libs/clapack/sgetc2.c
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+/* sgetc2.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 real c_b10 = -1.f;
+
+/* Subroutine */ int sgetc2_(integer *n, real *a, integer *lda, integer *ipiv,
+ integer *jpiv, integer *info)
+{
+ /* System generated locals */
+ integer a_dim1, a_offset, i__1, i__2, i__3;
+ real r__1;
+
+ /* Local variables */
+ integer i__, j, ip, jp;
+ real eps;
+ integer ipv, jpv;
+ extern /* Subroutine */ int sger_(integer *, integer *, real *, real *,
+ integer *, real *, integer *, real *, integer *);
+ real smin, xmax;
+ extern /* Subroutine */ int sswap_(integer *, real *, integer *, real *,
+ integer *), slabad_(real *, real *);
+ extern doublereal slamch_(char *);
+ real bignum, smlnum;
+
+
+/* -- LAPACK auxiliary routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* SGETC2 computes an LU factorization with complete pivoting of the */
+/* n-by-n matrix A. The factorization has the form A = P * L * U * Q, */
+/* where P and Q are permutation matrices, L is lower triangular with */
+/* unit diagonal elements and U is upper triangular. */
+
+/* This is the Level 2 BLAS algorithm. */
+
+/* Arguments */
+/* ========= */
+
+/* N (input) INTEGER */
+/* The order of the matrix A. N >= 0. */
+
+/* A (input/output) REAL array, dimension (LDA, N) */
+/* On entry, the n-by-n matrix A to be factored. */
+/* On exit, the factors L and U from the factorization */
+/* A = P*L*U*Q; the unit diagonal elements of L are not stored. */
+/* If U(k, k) appears to be less than SMIN, U(k, k) is given the */
+/* value of SMIN, i.e., giving a nonsingular perturbed system. */
+
+/* LDA (input) INTEGER */
+/* The leading dimension of the array A. LDA >= max(1,N). */
+
+/* IPIV (output) INTEGER array, dimension(N). */
+/* The pivot indices; for 1 <= i <= N, row i of the */
+/* matrix has been interchanged with row IPIV(i). */
+
+/* JPIV (output) INTEGER array, dimension(N). */
+/* The pivot indices; for 1 <= j <= N, column j of the */
+/* matrix has been interchanged with column JPIV(j). */
+
+/* INFO (output) INTEGER */
+/* = 0: successful exit */
+/* > 0: if INFO = k, U(k, k) is likely to produce owerflow if */
+/* we try to solve for x in Ax = b. So U is perturbed to */
+/* avoid the overflow. */
+
+/* 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 constants to control overflow */
+
+ /* Parameter adjustments */
+ a_dim1 = *lda;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ --ipiv;
+ --jpiv;
+
+ /* Function Body */
+ *info = 0;
+ eps = slamch_("P");
+ smlnum = slamch_("S") / eps;
+ bignum = 1.f / smlnum;
+ slabad_(&smlnum, &bignum);
+
+/* Factorize A using complete pivoting. */
+/* Set pivots less than SMIN to SMIN. */
+
+ i__1 = *n - 1;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+
+/* Find max element in matrix A */
+
+ xmax = 0.f;
+ i__2 = *n;
+ for (ip = i__; ip <= i__2; ++ip) {
+ i__3 = *n;
+ for (jp = i__; jp <= i__3; ++jp) {
+ if ((r__1 = a[ip + jp * a_dim1], dabs(r__1)) >= xmax) {
+ xmax = (r__1 = a[ip + jp * a_dim1], dabs(r__1));
+ ipv = ip;
+ jpv = jp;
+ }
+/* L10: */
+ }
+/* L20: */
+ }
+ if (i__ == 1) {
+/* Computing MAX */
+ r__1 = eps * xmax;
+ smin = dmax(r__1,smlnum);
+ }
+
+/* Swap rows */
+
+ if (ipv != i__) {
+ sswap_(n, &a[ipv + a_dim1], lda, &a[i__ + a_dim1], lda);
+ }
+ ipiv[i__] = ipv;
+
+/* Swap columns */
+
+ if (jpv != i__) {
+ sswap_(n, &a[jpv * a_dim1 + 1], &c__1, &a[i__ * a_dim1 + 1], &
+ c__1);
+ }
+ jpiv[i__] = jpv;
+
+/* Check for singularity */
+
+ if ((r__1 = a[i__ + i__ * a_dim1], dabs(r__1)) < smin) {
+ *info = i__;
+ a[i__ + i__ * a_dim1] = smin;
+ }
+ i__2 = *n;
+ for (j = i__ + 1; j <= i__2; ++j) {
+ a[j + i__ * a_dim1] /= a[i__ + i__ * a_dim1];
+/* L30: */
+ }
+ i__2 = *n - i__;
+ i__3 = *n - i__;
+ sger_(&i__2, &i__3, &c_b10, &a[i__ + 1 + i__ * a_dim1], &c__1, &a[i__
+ + (i__ + 1) * a_dim1], lda, &a[i__ + 1 + (i__ + 1) * a_dim1],
+ lda);
+/* L40: */
+ }
+
+ if ((r__1 = a[*n + *n * a_dim1], dabs(r__1)) < smin) {
+ *info = *n;
+ a[*n + *n * a_dim1] = smin;
+ }
+
+ return 0;
+
+/* End of SGETC2 */
+
+} /* sgetc2_ */