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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/ctrcon.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/ctrcon.c')
-rw-r--r--contrib/libs/clapack/ctrcon.c249
1 files changed, 249 insertions, 0 deletions
diff --git a/contrib/libs/clapack/ctrcon.c b/contrib/libs/clapack/ctrcon.c
new file mode 100644
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+++ b/contrib/libs/clapack/ctrcon.c
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+/* ctrcon.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 ctrcon_(char *norm, char *uplo, char *diag, integer *n,
+ complex *a, integer *lda, real *rcond, complex *work, real *rwork,
+ integer *info)
+{
+ /* System generated locals */
+ integer a_dim1, a_offset, i__1;
+ real r__1, r__2;
+
+ /* Builtin functions */
+ double r_imag(complex *);
+
+ /* Local variables */
+ integer ix, kase, kase1;
+ real scale;
+ extern logical lsame_(char *, char *);
+ integer isave[3];
+ real anorm;
+ logical upper;
+ extern /* Subroutine */ int clacn2_(integer *, complex *, complex *, real
+ *, integer *, integer *);
+ real xnorm;
+ extern integer icamax_(integer *, complex *, integer *);
+ extern doublereal slamch_(char *);
+ extern /* Subroutine */ int xerbla_(char *, integer *);
+ extern doublereal clantr_(char *, char *, char *, integer *, integer *,
+ complex *, integer *, real *);
+ real ainvnm;
+ extern /* Subroutine */ int clatrs_(char *, char *, char *, char *,
+ integer *, complex *, integer *, complex *, real *, real *,
+ integer *), csrscl_(integer *,
+ real *, complex *, integer *);
+ logical onenrm;
+ char normin[1];
+ real smlnum;
+ logical nounit;
+
+
+/* -- 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 */
+/* ======= */
+
+/* CTRCON estimates the reciprocal of the condition number of a */
+/* triangular matrix A, in either the 1-norm or the infinity-norm. */
+
+/* The norm of A is computed and an estimate is obtained for */
+/* norm(inv(A)), then the reciprocal of the condition number is */
+/* computed as */
+/* RCOND = 1 / ( norm(A) * norm(inv(A)) ). */
+
+/* Arguments */
+/* ========= */
+
+/* NORM (input) CHARACTER*1 */
+/* Specifies whether the 1-norm condition number or the */
+/* infinity-norm condition number is required: */
+/* = '1' or 'O': 1-norm; */
+/* = 'I': Infinity-norm. */
+
+/* UPLO (input) CHARACTER*1 */
+/* = 'U': A is upper triangular; */
+/* = 'L': A is lower triangular. */
+
+/* DIAG (input) CHARACTER*1 */
+/* = 'N': A is non-unit triangular; */
+/* = 'U': A is unit triangular. */
+
+/* N (input) INTEGER */
+/* The order of the matrix A. N >= 0. */
+
+/* A (input) COMPLEX array, dimension (LDA,N) */
+/* The triangular matrix A. If UPLO = 'U', the leading N-by-N */
+/* upper triangular part of the array A contains the upper */
+/* triangular matrix, and the strictly lower triangular part of */
+/* A is not referenced. If UPLO = 'L', the leading N-by-N lower */
+/* triangular part of the array A contains the lower triangular */
+/* matrix, and the strictly upper triangular part of A is not */
+/* referenced. If DIAG = 'U', the diagonal elements of A are */
+/* also not referenced and are assumed to be 1. */
+
+/* LDA (input) INTEGER */
+/* The leading dimension of the array A. LDA >= max(1,N). */
+
+/* RCOND (output) REAL */
+/* The reciprocal of the condition number of the matrix A, */
+/* computed as RCOND = 1/(norm(A) * norm(inv(A))). */
+
+/* WORK (workspace) COMPLEX array, dimension (2*N) */
+
+/* RWORK (workspace) REAL array, dimension (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 .. */
+/* .. */
+/* .. Intrinsic Functions .. */
+/* .. */
+/* .. Statement Functions .. */
+/* .. */
+/* .. Statement Function definitions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Test the input parameters. */
+
+ /* Parameter adjustments */
+ a_dim1 = *lda;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ --work;
+ --rwork;
+
+ /* Function Body */
+ *info = 0;
+ upper = lsame_(uplo, "U");
+ onenrm = *(unsigned char *)norm == '1' || lsame_(norm, "O");
+ nounit = lsame_(diag, "N");
+
+ if (! onenrm && ! lsame_(norm, "I")) {
+ *info = -1;
+ } else if (! upper && ! lsame_(uplo, "L")) {
+ *info = -2;
+ } else if (! nounit && ! lsame_(diag, "U")) {
+ *info = -3;
+ } else if (*n < 0) {
+ *info = -4;
+ } else if (*lda < max(1,*n)) {
+ *info = -6;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("CTRCON", &i__1);
+ return 0;
+ }
+
+/* Quick return if possible */
+
+ if (*n == 0) {
+ *rcond = 1.f;
+ return 0;
+ }
+
+ *rcond = 0.f;
+ smlnum = slamch_("Safe minimum") * (real) max(1,*n);
+
+/* Compute the norm of the triangular matrix A. */
+
+ anorm = clantr_(norm, uplo, diag, n, n, &a[a_offset], lda, &rwork[1]);
+
+/* Continue only if ANORM > 0. */
+
+ if (anorm > 0.f) {
+
+/* Estimate the norm of the inverse of A. */
+
+ ainvnm = 0.f;
+ *(unsigned char *)normin = 'N';
+ if (onenrm) {
+ kase1 = 1;
+ } else {
+ kase1 = 2;
+ }
+ kase = 0;
+L10:
+ clacn2_(n, &work[*n + 1], &work[1], &ainvnm, &kase, isave);
+ if (kase != 0) {
+ if (kase == kase1) {
+
+/* Multiply by inv(A). */
+
+ clatrs_(uplo, "No transpose", diag, normin, n, &a[a_offset],
+ lda, &work[1], &scale, &rwork[1], info);
+ } else {
+
+/* Multiply by inv(A'). */
+
+ clatrs_(uplo, "Conjugate transpose", diag, normin, n, &a[
+ a_offset], lda, &work[1], &scale, &rwork[1], info);
+ }
+ *(unsigned char *)normin = 'Y';
+
+/* Multiply by 1/SCALE if doing so will not cause overflow. */
+
+ if (scale != 1.f) {
+ ix = icamax_(n, &work[1], &c__1);
+ i__1 = ix;
+ xnorm = (r__1 = work[i__1].r, dabs(r__1)) + (r__2 = r_imag(&
+ work[ix]), dabs(r__2));
+ if (scale < xnorm * smlnum || scale == 0.f) {
+ goto L20;
+ }
+ csrscl_(n, &scale, &work[1], &c__1);
+ }
+ goto L10;
+ }
+
+/* Compute the estimate of the reciprocal condition number. */
+
+ if (ainvnm != 0.f) {
+ *rcond = 1.f / anorm / ainvnm;
+ }
+ }
+
+L20:
+ return 0;
+
+/* End of CTRCON */
+
+} /* ctrcon_ */