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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/dlaqgb.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
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+/* dlaqgb.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"
+
+/* Subroutine */ int dlaqgb_(integer *m, integer *n, integer *kl, integer *ku,
+ doublereal *ab, integer *ldab, doublereal *r__, doublereal *c__,
+ doublereal *rowcnd, doublereal *colcnd, doublereal *amax, char *equed)
+{
+ /* System generated locals */
+ integer ab_dim1, ab_offset, i__1, i__2, i__3, i__4, i__5, i__6;
+
+ /* Local variables */
+ integer i__, j;
+ doublereal cj, large, small;
+ extern doublereal dlamch_(char *);
+
+
+/* -- LAPACK auxiliary routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* DLAQGB equilibrates a general M by N band matrix A with KL */
+/* subdiagonals and KU superdiagonals using the row and scaling factors */
+/* in the vectors R and C. */
+
+/* Arguments */
+/* ========= */
+
+/* M (input) INTEGER */
+/* The number of rows of the matrix A. M >= 0. */
+
+/* N (input) INTEGER */
+/* The number of columns 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/output) DOUBLE PRECISION array, dimension (LDAB,N) */
+/* On entry, the matrix A in band storage, in rows 1 to KL+KU+1. */
+/* The j-th column of A is stored in the j-th column of the */
+/* array AB as follows: */
+/* AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(m,j+kl) */
+
+/* On exit, the equilibrated matrix, in the same storage format */
+/* as A. See EQUED for the form of the equilibrated matrix. */
+
+/* LDAB (input) INTEGER */
+/* The leading dimension of the array AB. LDA >= KL+KU+1. */
+
+/* R (input) DOUBLE PRECISION array, dimension (M) */
+/* The row scale factors for A. */
+
+/* C (input) DOUBLE PRECISION array, dimension (N) */
+/* The column scale factors for A. */
+
+/* ROWCND (input) DOUBLE PRECISION */
+/* Ratio of the smallest R(i) to the largest R(i). */
+
+/* COLCND (input) DOUBLE PRECISION */
+/* Ratio of the smallest C(i) to the largest C(i). */
+
+/* AMAX (input) DOUBLE PRECISION */
+/* Absolute value of largest matrix entry. */
+
+/* EQUED (output) CHARACTER*1 */
+/* Specifies the form of equilibration that was done. */
+/* = 'N': No equilibration */
+/* = 'R': Row equilibration, i.e., A has been premultiplied by */
+/* diag(R). */
+/* = 'C': Column equilibration, i.e., A has been postmultiplied */
+/* by diag(C). */
+/* = 'B': Both row and column equilibration, i.e., A has been */
+/* replaced by diag(R) * A * diag(C). */
+
+/* Internal Parameters */
+/* =================== */
+
+/* THRESH is a threshold value used to decide if row or column scaling */
+/* should be done based on the ratio of the row or column scaling */
+/* factors. If ROWCND < THRESH, row scaling is done, and if */
+/* COLCND < THRESH, column scaling is done. */
+
+/* LARGE and SMALL are threshold values used to decide if row scaling */
+/* should be done based on the absolute size of the largest matrix */
+/* element. If AMAX > LARGE or AMAX < SMALL, row scaling is done. */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. Intrinsic Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Quick return if possible */
+
+ /* Parameter adjustments */
+ ab_dim1 = *ldab;
+ ab_offset = 1 + ab_dim1;
+ ab -= ab_offset;
+ --r__;
+ --c__;
+
+ /* Function Body */
+ if (*m <= 0 || *n <= 0) {
+ *(unsigned char *)equed = 'N';
+ return 0;
+ }
+
+/* Initialize LARGE and SMALL. */
+
+ small = dlamch_("Safe minimum") / dlamch_("Precision");
+ large = 1. / small;
+
+ if (*rowcnd >= .1 && *amax >= small && *amax <= large) {
+
+/* No row scaling */
+
+ if (*colcnd >= .1) {
+
+/* No column scaling */
+
+ *(unsigned char *)equed = 'N';
+ } else {
+
+/* Column scaling */
+
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ cj = c__[j];
+/* Computing MAX */
+ i__2 = 1, i__3 = j - *ku;
+/* Computing MIN */
+ i__5 = *m, i__6 = j + *kl;
+ i__4 = min(i__5,i__6);
+ for (i__ = max(i__2,i__3); i__ <= i__4; ++i__) {
+ ab[*ku + 1 + i__ - j + j * ab_dim1] = cj * ab[*ku + 1 +
+ i__ - j + j * ab_dim1];
+/* L10: */
+ }
+/* L20: */
+ }
+ *(unsigned char *)equed = 'C';
+ }
+ } else if (*colcnd >= .1) {
+
+/* Row scaling, no column scaling */
+
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+/* Computing MAX */
+ i__4 = 1, i__2 = j - *ku;
+/* Computing MIN */
+ i__5 = *m, i__6 = j + *kl;
+ i__3 = min(i__5,i__6);
+ for (i__ = max(i__4,i__2); i__ <= i__3; ++i__) {
+ ab[*ku + 1 + i__ - j + j * ab_dim1] = r__[i__] * ab[*ku + 1 +
+ i__ - j + j * ab_dim1];
+/* L30: */
+ }
+/* L40: */
+ }
+ *(unsigned char *)equed = 'R';
+ } else {
+
+/* Row and column scaling */
+
+ i__1 = *n;
+ for (j = 1; j <= i__1; ++j) {
+ cj = c__[j];
+/* Computing MAX */
+ i__3 = 1, i__4 = j - *ku;
+/* Computing MIN */
+ i__5 = *m, i__6 = j + *kl;
+ i__2 = min(i__5,i__6);
+ for (i__ = max(i__3,i__4); i__ <= i__2; ++i__) {
+ ab[*ku + 1 + i__ - j + j * ab_dim1] = cj * r__[i__] * ab[*ku
+ + 1 + i__ - j + j * ab_dim1];
+/* L50: */
+ }
+/* L60: */
+ }
+ *(unsigned char *)equed = 'B';
+ }
+
+ return 0;
+
+/* End of DLAQGB */
+
+} /* dlaqgb_ */