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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/sppcon.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/sppcon.c')
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1 files changed, 213 insertions, 0 deletions
diff --git a/contrib/libs/clapack/sppcon.c b/contrib/libs/clapack/sppcon.c
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+/* sppcon.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 sppcon_(char *uplo, integer *n, real *ap, real *anorm,
+ real *rcond, real *work, integer *iwork, integer *info)
+{
+ /* System generated locals */
+ integer i__1;
+ real r__1;
+
+ /* Local variables */
+ integer ix, kase;
+ real scale;
+ extern logical lsame_(char *, char *);
+ integer isave[3];
+ extern /* Subroutine */ int srscl_(integer *, real *, real *, integer *);
+ logical upper;
+ extern /* Subroutine */ int slacn2_(integer *, real *, real *, integer *,
+ real *, integer *, integer *);
+ real scalel;
+ extern doublereal slamch_(char *);
+ real scaleu;
+ extern /* Subroutine */ int xerbla_(char *, integer *);
+ extern integer isamax_(integer *, real *, integer *);
+ real ainvnm;
+ char normin[1];
+ extern /* Subroutine */ int slatps_(char *, char *, char *, char *,
+ integer *, real *, real *, real *, real *, integer *);
+ real smlnum;
+
+
+/* -- LAPACK routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* Modified to call SLACN2 in place of SLACON, 7 Feb 03, SJH. */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* SPPCON estimates the reciprocal of the condition number (in the */
+/* 1-norm) of a real symmetric positive definite packed matrix using */
+/* the Cholesky factorization A = U**T*U or A = L*L**T computed by */
+/* SPPTRF. */
+
+/* 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 */
+/* = 'U': Upper triangle of A is stored; */
+/* = 'L': Lower triangle of A is stored. */
+
+/* N (input) INTEGER */
+/* The order of the matrix A. N >= 0. */
+
+/* AP (input) REAL array, dimension (N*(N+1)/2) */
+/* The triangular factor U or L from the Cholesky factorization */
+/* A = U**T*U or A = L*L**T, packed columnwise in a linear */
+/* array. The j-th column of U or L is stored in the array AP */
+/* as follows: */
+/* if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j; */
+/* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n. */
+
+/* ANORM (input) REAL */
+/* The 1-norm (or infinity-norm) of the symmetric 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) REAL array, dimension (3*N) */
+
+/* IWORK (workspace) INTEGER 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 .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Test the input parameters. */
+
+ /* Parameter adjustments */
+ --iwork;
+ --work;
+ --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 = -4;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("SPPCON", &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;
+ }
+
+ smlnum = slamch_("Safe minimum");
+
+/* Estimate the 1-norm of the inverse. */
+
+ kase = 0;
+ *(unsigned char *)normin = 'N';
+L10:
+ slacn2_(n, &work[*n + 1], &work[1], &iwork[1], &ainvnm, &kase, isave);
+ if (kase != 0) {
+ if (upper) {
+
+/* Multiply by inv(U'). */
+
+ slatps_("Upper", "Transpose", "Non-unit", normin, n, &ap[1], &
+ work[1], &scalel, &work[(*n << 1) + 1], info);
+ *(unsigned char *)normin = 'Y';
+
+/* Multiply by inv(U). */
+
+ slatps_("Upper", "No transpose", "Non-unit", normin, n, &ap[1], &
+ work[1], &scaleu, &work[(*n << 1) + 1], info);
+ } else {
+
+/* Multiply by inv(L). */
+
+ slatps_("Lower", "No transpose", "Non-unit", normin, n, &ap[1], &
+ work[1], &scalel, &work[(*n << 1) + 1], info);
+ *(unsigned char *)normin = 'Y';
+
+/* Multiply by inv(L'). */
+
+ slatps_("Lower", "Transpose", "Non-unit", normin, n, &ap[1], &
+ work[1], &scaleu, &work[(*n << 1) + 1], info);
+ }
+
+/* Multiply by 1/SCALE if doing so will not cause overflow. */
+
+ scale = scalel * scaleu;
+ if (scale != 1.f) {
+ ix = isamax_(n, &work[1], &c__1);
+ if (scale < (r__1 = work[ix], dabs(r__1)) * smlnum || scale ==
+ 0.f) {
+ goto L20;
+ }
+ srscl_(n, &scale, &work[1], &c__1);
+ }
+ goto L10;
+ }
+
+/* Compute the estimate of the reciprocal condition number. */
+
+ if (ainvnm != 0.f) {
+ *rcond = 1.f / ainvnm / *anorm;
+ }
+
+L20:
+ return 0;
+
+/* End of SPPCON */
+
+} /* sppcon_ */