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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/zpbcon.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/zpbcon.c')
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1 files changed, 236 insertions, 0 deletions
diff --git a/contrib/libs/clapack/zpbcon.c b/contrib/libs/clapack/zpbcon.c
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+/* zpbcon.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 zpbcon_(char *uplo, integer *n, integer *kd,
+ doublecomplex *ab, integer *ldab, doublereal *anorm, doublereal *
+ rcond, doublecomplex *work, doublereal *rwork, integer *info)
+{
+ /* System generated locals */
+ integer ab_dim1, ab_offset, i__1;
+ doublereal d__1, d__2;
+
+ /* Builtin functions */
+ double d_imag(doublecomplex *);
+
+ /* Local variables */
+ integer ix, kase;
+ doublereal scale;
+ extern logical lsame_(char *, char *);
+ integer isave[3];
+ logical upper;
+ extern /* Subroutine */ int zlacn2_(integer *, doublecomplex *,
+ doublecomplex *, doublereal *, integer *, integer *);
+ extern doublereal dlamch_(char *);
+ doublereal scalel, scaleu;
+ extern /* Subroutine */ int xerbla_(char *, integer *);
+ doublereal ainvnm;
+ extern integer izamax_(integer *, doublecomplex *, integer *);
+ extern /* Subroutine */ int zlatbs_(char *, char *, char *, char *,
+ integer *, integer *, doublecomplex *, integer *, doublecomplex *,
+ doublereal *, doublereal *, integer *), zdrscl_(integer *, doublereal *, doublecomplex *,
+ integer *);
+ char normin[1];
+ doublereal smlnum;
+
+
+/* -- LAPACK routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* Modified to call ZLACN2 in place of ZLACON, 10 Feb 03, SJH. */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* ZPBCON estimates the reciprocal of the condition number (in the */
+/* 1-norm) of a complex Hermitian positive definite band matrix using */
+/* the Cholesky factorization A = U**H*U or A = L*L**H computed by */
+/* ZPBTRF. */
+
+/* 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 triangular factor stored in AB; */
+/* = 'L': Lower triangular factor stored in AB. */
+
+/* N (input) INTEGER */
+/* The order of the matrix A. N >= 0. */
+
+/* KD (input) INTEGER */
+/* The number of superdiagonals of the matrix A if UPLO = 'U', */
+/* or the number of sub-diagonals if UPLO = 'L'. KD >= 0. */
+
+/* AB (input) COMPLEX*16 array, dimension (LDAB,N) */
+/* The triangular factor U or L from the Cholesky factorization */
+/* A = U**H*U or A = L*L**H of the band matrix A, stored in the */
+/* first KD+1 rows of the array. The j-th column of U or L is */
+/* stored in the j-th column of the array AB as follows: */
+/* if UPLO ='U', AB(kd+1+i-j,j) = U(i,j) for max(1,j-kd)<=i<=j; */
+/* if UPLO ='L', AB(1+i-j,j) = L(i,j) for j<=i<=min(n,j+kd). */
+
+/* LDAB (input) INTEGER */
+/* The leading dimension of the array AB. LDAB >= KD+1. */
+
+/* ANORM (input) DOUBLE PRECISION */
+/* The 1-norm (or infinity-norm) of the Hermitian band matrix A. */
+
+/* RCOND (output) DOUBLE PRECISION */
+/* 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*16 array, dimension (2*N) */
+
+/* RWORK (workspace) DOUBLE PRECISION 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 */
+ ab_dim1 = *ldab;
+ ab_offset = 1 + ab_dim1;
+ ab -= ab_offset;
+ --work;
+ --rwork;
+
+ /* Function Body */
+ *info = 0;
+ upper = lsame_(uplo, "U");
+ if (! upper && ! lsame_(uplo, "L")) {
+ *info = -1;
+ } else if (*n < 0) {
+ *info = -2;
+ } else if (*kd < 0) {
+ *info = -3;
+ } else if (*ldab < *kd + 1) {
+ *info = -5;
+ } else if (*anorm < 0.) {
+ *info = -6;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("ZPBCON", &i__1);
+ return 0;
+ }
+
+/* Quick return if possible */
+
+ *rcond = 0.;
+ if (*n == 0) {
+ *rcond = 1.;
+ return 0;
+ } else if (*anorm == 0.) {
+ return 0;
+ }
+
+ smlnum = dlamch_("Safe minimum");
+
+/* Estimate the 1-norm of the inverse. */
+
+ kase = 0;
+ *(unsigned char *)normin = 'N';
+L10:
+ zlacn2_(n, &work[*n + 1], &work[1], &ainvnm, &kase, isave);
+ if (kase != 0) {
+ if (upper) {
+
+/* Multiply by inv(U'). */
+
+ zlatbs_("Upper", "Conjugate transpose", "Non-unit", normin, n, kd,
+ &ab[ab_offset], ldab, &work[1], &scalel, &rwork[1], info);
+ *(unsigned char *)normin = 'Y';
+
+/* Multiply by inv(U). */
+
+ zlatbs_("Upper", "No transpose", "Non-unit", normin, n, kd, &ab[
+ ab_offset], ldab, &work[1], &scaleu, &rwork[1], info);
+ } else {
+
+/* Multiply by inv(L). */
+
+ zlatbs_("Lower", "No transpose", "Non-unit", normin, n, kd, &ab[
+ ab_offset], ldab, &work[1], &scalel, &rwork[1], info);
+ *(unsigned char *)normin = 'Y';
+
+/* Multiply by inv(L'). */
+
+ zlatbs_("Lower", "Conjugate transpose", "Non-unit", normin, n, kd,
+ &ab[ab_offset], ldab, &work[1], &scaleu, &rwork[1], info);
+ }
+
+/* Multiply by 1/SCALE if doing so will not cause overflow. */
+
+ scale = scalel * scaleu;
+ if (scale != 1.) {
+ ix = izamax_(n, &work[1], &c__1);
+ i__1 = ix;
+ if (scale < ((d__1 = work[i__1].r, abs(d__1)) + (d__2 = d_imag(&
+ work[ix]), abs(d__2))) * smlnum || scale == 0.) {
+ goto L20;
+ }
+ zdrscl_(n, &scale, &work[1], &c__1);
+ }
+ goto L10;
+ }
+
+/* Compute the estimate of the reciprocal condition number. */
+
+ if (ainvnm != 0.) {
+ *rcond = 1. / ainvnm / *anorm;
+ }
+
+L20:
+
+ return 0;
+
+/* End of ZPBCON */
+
+} /* zpbcon_ */