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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/cgbcon.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/cgbcon.c')
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1 files changed, 307 insertions, 0 deletions
diff --git a/contrib/libs/clapack/cgbcon.c b/contrib/libs/clapack/cgbcon.c
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+/* cgbcon.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 cgbcon_(char *norm, integer *n, integer *kl, integer *ku,
+ complex *ab, integer *ldab, integer *ipiv, real *anorm, real *rcond,
+ complex *work, real *rwork, integer *info)
+{
+ /* System generated locals */
+ integer ab_dim1, ab_offset, i__1, i__2, i__3;
+ real r__1, r__2;
+ complex q__1, q__2;
+
+ /* Builtin functions */
+ double r_imag(complex *);
+
+ /* Local variables */
+ integer j;
+ complex t;
+ integer kd, lm, jp, ix, kase, kase1;
+ real scale;
+ extern /* Complex */ VOID cdotc_(complex *, integer *, complex *, integer
+ *, complex *, integer *);
+ extern logical lsame_(char *, char *);
+ integer isave[3];
+ extern /* Subroutine */ int caxpy_(integer *, complex *, complex *,
+ integer *, complex *, integer *);
+ logical lnoti;
+ extern /* Subroutine */ int clacn2_(integer *, complex *, complex *, real
+ *, integer *, integer *);
+ extern integer icamax_(integer *, complex *, integer *);
+ extern doublereal slamch_(char *);
+ extern /* Subroutine */ int clatbs_(char *, char *, char *, char *,
+ integer *, integer *, complex *, integer *, complex *, real *,
+ real *, integer *), xerbla_(char *
+, integer *);
+ real ainvnm;
+ extern /* Subroutine */ int csrscl_(integer *, real *, complex *, integer
+ *);
+ logical onenrm;
+ char normin[1];
+ real smlnum;
+
+
+/* -- 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 */
+/* ======= */
+
+/* CGBCON estimates the reciprocal of the condition number of a complex */
+/* general band matrix A, in either the 1-norm or the infinity-norm, */
+/* using the LU factorization computed by CGBTRF. */
+
+/* An estimate is obtained for norm(inv(A)), and 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. */
+
+/* N (input) INTEGER */
+/* The order of the matrix A. N >= 0. */
+
+/* KL (input) INTEGER */
+/* The number of subdiagonals within the band of A. KL >= 0. */
+
+/* KU (input) INTEGER */
+/* The number of superdiagonals within the band of A. KU >= 0. */
+
+/* AB (input) COMPLEX array, dimension (LDAB,N) */
+/* Details of the LU factorization of the band matrix A, as */
+/* computed by CGBTRF. U is stored as an upper triangular band */
+/* matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and */
+/* the multipliers used during the factorization are stored in */
+/* rows KL+KU+2 to 2*KL+KU+1. */
+
+/* LDAB (input) INTEGER */
+/* The leading dimension of the array AB. LDAB >= 2*KL+KU+1. */
+
+/* IPIV (input) INTEGER array, dimension (N) */
+/* The pivot indices; for 1 <= i <= N, row i of the matrix was */
+/* interchanged with row IPIV(i). */
+
+/* ANORM (input) REAL */
+/* If NORM = '1' or 'O', the 1-norm of the original matrix A. */
+/* If NORM = 'I', the infinity-norm of the original matrix A. */
+
+/* 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 */
+ ab_dim1 = *ldab;
+ ab_offset = 1 + ab_dim1;
+ ab -= ab_offset;
+ --ipiv;
+ --work;
+ --rwork;
+
+ /* Function Body */
+ *info = 0;
+ onenrm = *(unsigned char *)norm == '1' || lsame_(norm, "O");
+ if (! onenrm && ! lsame_(norm, "I")) {
+ *info = -1;
+ } else if (*n < 0) {
+ *info = -2;
+ } else if (*kl < 0) {
+ *info = -3;
+ } else if (*ku < 0) {
+ *info = -4;
+ } else if (*ldab < (*kl << 1) + *ku + 1) {
+ *info = -6;
+ } else if (*anorm < 0.f) {
+ *info = -8;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("CGBCON", &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 norm of inv(A). */
+
+ ainvnm = 0.f;
+ *(unsigned char *)normin = 'N';
+ if (onenrm) {
+ kase1 = 1;
+ } else {
+ kase1 = 2;
+ }
+ kd = *kl + *ku + 1;
+ lnoti = *kl > 0;
+ kase = 0;
+L10:
+ clacn2_(n, &work[*n + 1], &work[1], &ainvnm, &kase, isave);
+ if (kase != 0) {
+ if (kase == kase1) {
+
+/* Multiply by inv(L). */
+
+ if (lnoti) {
+ i__1 = *n - 1;
+ for (j = 1; j <= i__1; ++j) {
+/* Computing MIN */
+ i__2 = *kl, i__3 = *n - j;
+ lm = min(i__2,i__3);
+ jp = ipiv[j];
+ i__2 = jp;
+ t.r = work[i__2].r, t.i = work[i__2].i;
+ if (jp != j) {
+ i__2 = jp;
+ i__3 = j;
+ work[i__2].r = work[i__3].r, work[i__2].i = work[i__3]
+ .i;
+ i__2 = j;
+ work[i__2].r = t.r, work[i__2].i = t.i;
+ }
+ q__1.r = -t.r, q__1.i = -t.i;
+ caxpy_(&lm, &q__1, &ab[kd + 1 + j * ab_dim1], &c__1, &
+ work[j + 1], &c__1);
+/* L20: */
+ }
+ }
+
+/* Multiply by inv(U). */
+
+ i__1 = *kl + *ku;
+ clatbs_("Upper", "No transpose", "Non-unit", normin, n, &i__1, &
+ ab[ab_offset], ldab, &work[1], &scale, &rwork[1], info);
+ } else {
+
+/* Multiply by inv(U'). */
+
+ i__1 = *kl + *ku;
+ clatbs_("Upper", "Conjugate transpose", "Non-unit", normin, n, &
+ i__1, &ab[ab_offset], ldab, &work[1], &scale, &rwork[1],
+ info);
+
+/* Multiply by inv(L'). */
+
+ if (lnoti) {
+ for (j = *n - 1; j >= 1; --j) {
+/* Computing MIN */
+ i__1 = *kl, i__2 = *n - j;
+ lm = min(i__1,i__2);
+ i__1 = j;
+ i__2 = j;
+ cdotc_(&q__2, &lm, &ab[kd + 1 + j * ab_dim1], &c__1, &
+ work[j + 1], &c__1);
+ q__1.r = work[i__2].r - q__2.r, q__1.i = work[i__2].i -
+ q__2.i;
+ work[i__1].r = q__1.r, work[i__1].i = q__1.i;
+ jp = ipiv[j];
+ if (jp != j) {
+ i__1 = jp;
+ t.r = work[i__1].r, t.i = work[i__1].i;
+ i__1 = jp;
+ i__2 = j;
+ work[i__1].r = work[i__2].r, work[i__1].i = work[i__2]
+ .i;
+ i__1 = j;
+ work[i__1].r = t.r, work[i__1].i = t.i;
+ }
+/* L30: */
+ }
+ }
+ }
+
+/* Divide X by 1/SCALE if doing so will not cause overflow. */
+
+ *(unsigned char *)normin = 'Y';
+ if (scale != 1.f) {
+ ix = icamax_(n, &work[1], &c__1);
+ i__1 = ix;
+ if (scale < ((r__1 = work[i__1].r, dabs(r__1)) + (r__2 = r_imag(&
+ work[ix]), dabs(r__2))) * smlnum || scale == 0.f) {
+ goto L40;
+ }
+ csrscl_(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;
+ }
+
+L40:
+ return 0;
+
+/* End of CGBCON */
+
+} /* cgbcon_ */