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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/ztpcon.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/ztpcon.c')
-rw-r--r--contrib/libs/clapack/ztpcon.c242
1 files changed, 242 insertions, 0 deletions
diff --git a/contrib/libs/clapack/ztpcon.c b/contrib/libs/clapack/ztpcon.c
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+/* ztpcon.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 ztpcon_(char *norm, char *uplo, char *diag, integer *n,
+ doublecomplex *ap, doublereal *rcond, doublecomplex *work, doublereal
+ *rwork, integer *info)
+{
+ /* System generated locals */
+ integer i__1;
+ doublereal d__1, d__2;
+
+ /* Builtin functions */
+ double d_imag(doublecomplex *);
+
+ /* Local variables */
+ integer ix, kase, kase1;
+ doublereal scale;
+ extern logical lsame_(char *, char *);
+ integer isave[3];
+ doublereal anorm;
+ logical upper;
+ doublereal xnorm;
+ extern /* Subroutine */ int zlacn2_(integer *, doublecomplex *,
+ doublecomplex *, doublereal *, integer *, integer *);
+ extern doublereal dlamch_(char *);
+ extern /* Subroutine */ int xerbla_(char *, integer *);
+ doublereal ainvnm;
+ extern integer izamax_(integer *, doublecomplex *, integer *);
+ logical onenrm;
+ extern /* Subroutine */ int zdrscl_(integer *, doublereal *,
+ doublecomplex *, integer *);
+ char normin[1];
+ extern doublereal zlantp_(char *, char *, char *, integer *,
+ doublecomplex *, doublereal *);
+ doublereal smlnum;
+ logical nounit;
+ extern /* Subroutine */ int zlatps_(char *, char *, char *, char *,
+ integer *, doublecomplex *, doublecomplex *, doublereal *,
+ doublereal *, integer *);
+
+
+/* -- 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 */
+/* ======= */
+
+/* ZTPCON estimates the reciprocal of the condition number of a packed */
+/* 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. */
+
+/* AP (input) COMPLEX*16 array, dimension (N*(N+1)/2) */
+/* The upper or lower triangular matrix A, packed columnwise in */
+/* a linear array. The j-th column of A is stored in the array */
+/* AP as follows: */
+/* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; */
+/* if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n. */
+/* If DIAG = 'U', the diagonal elements of A are not referenced */
+/* and are assumed to be 1. */
+
+/* RCOND (output) DOUBLE PRECISION */
+/* The reciprocal of the condition number of the matrix A, */
+/* computed as RCOND = 1/(norm(A) * norm(inv(A))). */
+
+/* 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 */
+ --rwork;
+ --work;
+ --ap;
+
+ /* 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;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("ZTPCON", &i__1);
+ return 0;
+ }
+
+/* Quick return if possible */
+
+ if (*n == 0) {
+ *rcond = 1.;
+ return 0;
+ }
+
+ *rcond = 0.;
+ smlnum = dlamch_("Safe minimum") * (doublereal) max(1,*n);
+
+/* Compute the norm of the triangular matrix A. */
+
+ anorm = zlantp_(norm, uplo, diag, n, &ap[1], &rwork[1]);
+
+/* Continue only if ANORM > 0. */
+
+ if (anorm > 0.) {
+
+/* Estimate the norm of the inverse of A. */
+
+ ainvnm = 0.;
+ *(unsigned char *)normin = 'N';
+ if (onenrm) {
+ kase1 = 1;
+ } else {
+ kase1 = 2;
+ }
+ kase = 0;
+L10:
+ zlacn2_(n, &work[*n + 1], &work[1], &ainvnm, &kase, isave);
+ if (kase != 0) {
+ if (kase == kase1) {
+
+/* Multiply by inv(A). */
+
+ zlatps_(uplo, "No transpose", diag, normin, n, &ap[1], &work[
+ 1], &scale, &rwork[1], info);
+ } else {
+
+/* Multiply by inv(A'). */
+
+ zlatps_(uplo, "Conjugate transpose", diag, normin, n, &ap[1],
+ &work[1], &scale, &rwork[1], info);
+ }
+ *(unsigned char *)normin = 'Y';
+
+/* Multiply by 1/SCALE if doing so will not cause overflow. */
+
+ if (scale != 1.) {
+ ix = izamax_(n, &work[1], &c__1);
+ i__1 = ix;
+ xnorm = (d__1 = work[i__1].r, abs(d__1)) + (d__2 = d_imag(&
+ work[ix]), abs(d__2));
+ if (scale < xnorm * 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. / anorm / ainvnm;
+ }
+ }
+
+L20:
+ return 0;
+
+/* End of ZTPCON */
+
+} /* ztpcon_ */