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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/chpcon.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/chpcon.c')
-rw-r--r--contrib/libs/clapack/chpcon.c195
1 files changed, 195 insertions, 0 deletions
diff --git a/contrib/libs/clapack/chpcon.c b/contrib/libs/clapack/chpcon.c
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+/* chpcon.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;
+
+/* Subroutine */ int chpcon_(char *uplo, integer *n, complex *ap, integer *
+ ipiv, real *anorm, real *rcond, complex *work, integer *info)
+{
+ /* System generated locals */
+ integer i__1, i__2;
+
+ /* Local variables */
+ integer i__, ip, kase;
+ extern logical lsame_(char *, char *);
+ integer isave[3];
+ logical upper;
+ extern /* Subroutine */ int clacn2_(integer *, complex *, complex *, real
+ *, integer *, integer *), xerbla_(char *, integer *);
+ real ainvnm;
+ extern /* Subroutine */ int chptrs_(char *, integer *, integer *, complex
+ *, integer *, complex *, integer *, integer *);
+
+
+/* -- LAPACK routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* Modified to call CLACN2 in place of CLACON, 10 Feb 03, SJH. */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* CHPCON estimates the reciprocal of the condition number of a complex */
+/* Hermitian packed matrix A using the factorization A = U*D*U**H or */
+/* A = L*D*L**H computed by CHPTRF. */
+
+/* An estimate is obtained for norm(inv(A)), and the reciprocal of the */
+/* condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))). */
+
+/* Arguments */
+/* ========= */
+
+/* UPLO (input) CHARACTER*1 */
+/* Specifies whether the details of the factorization are stored */
+/* as an upper or lower triangular matrix. */
+/* = 'U': Upper triangular, form is A = U*D*U**H; */
+/* = 'L': Lower triangular, form is A = L*D*L**H. */
+
+/* N (input) INTEGER */
+/* The order of the matrix A. N >= 0. */
+
+/* AP (input) COMPLEX array, dimension (N*(N+1)/2) */
+/* The block diagonal matrix D and the multipliers used to */
+/* obtain the factor U or L as computed by CHPTRF, stored as a */
+/* packed triangular matrix. */
+
+/* IPIV (input) INTEGER array, dimension (N) */
+/* Details of the interchanges and the block structure of D */
+/* as determined by CHPTRF. */
+
+/* ANORM (input) REAL */
+/* The 1-norm of the original matrix A. */
+
+/* RCOND (output) REAL */
+/* The reciprocal of the condition number of the matrix A, */
+/* computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an */
+/* estimate of the 1-norm of inv(A) computed in this routine. */
+
+/* WORK (workspace) COMPLEX array, dimension (2*N) */
+
+/* INFO (output) INTEGER */
+/* = 0: successful exit */
+/* < 0: if INFO = -i, the i-th argument had an illegal value */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. Local Arrays .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Test the input parameters. */
+
+ /* Parameter adjustments */
+ --work;
+ --ipiv;
+ --ap;
+
+ /* Function Body */
+ *info = 0;
+ upper = lsame_(uplo, "U");
+ if (! upper && ! lsame_(uplo, "L")) {
+ *info = -1;
+ } else if (*n < 0) {
+ *info = -2;
+ } else if (*anorm < 0.f) {
+ *info = -5;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("CHPCON", &i__1);
+ return 0;
+ }
+
+/* Quick return if possible */
+
+ *rcond = 0.f;
+ if (*n == 0) {
+ *rcond = 1.f;
+ return 0;
+ } else if (*anorm <= 0.f) {
+ return 0;
+ }
+
+/* Check that the diagonal matrix D is nonsingular. */
+
+ if (upper) {
+
+/* Upper triangular storage: examine D from bottom to top */
+
+ ip = *n * (*n + 1) / 2;
+ for (i__ = *n; i__ >= 1; --i__) {
+ i__1 = ip;
+ if (ipiv[i__] > 0 && (ap[i__1].r == 0.f && ap[i__1].i == 0.f)) {
+ return 0;
+ }
+ ip -= i__;
+/* L10: */
+ }
+ } else {
+
+/* Lower triangular storage: examine D from top to bottom. */
+
+ ip = 1;
+ i__1 = *n;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ i__2 = ip;
+ if (ipiv[i__] > 0 && (ap[i__2].r == 0.f && ap[i__2].i == 0.f)) {
+ return 0;
+ }
+ ip = ip + *n - i__ + 1;
+/* L20: */
+ }
+ }
+
+/* Estimate the 1-norm of the inverse. */
+
+ kase = 0;
+L30:
+ clacn2_(n, &work[*n + 1], &work[1], &ainvnm, &kase, isave);
+ if (kase != 0) {
+
+/* Multiply by inv(L*D*L') or inv(U*D*U'). */
+
+ chptrs_(uplo, n, &c__1, &ap[1], &ipiv[1], &work[1], n, info);
+ goto L30;
+ }
+
+/* Compute the estimate of the reciprocal condition number. */
+
+ if (ainvnm != 0.f) {
+ *rcond = 1.f / ainvnm / *anorm;
+ }
+
+ return 0;
+
+/* End of CHPCON */
+
+} /* chpcon_ */