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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/slapll.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/slapll.c')
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1 files changed, 126 insertions, 0 deletions
diff --git a/contrib/libs/clapack/slapll.c b/contrib/libs/clapack/slapll.c
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+/* slapll.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 slapll_(integer *n, real *x, integer *incx, real *y,
+ integer *incy, real *ssmin)
+{
+ /* System generated locals */
+ integer i__1;
+
+ /* Local variables */
+ real c__, a11, a12, a22, tau;
+ extern doublereal sdot_(integer *, real *, integer *, real *, integer *);
+ extern /* Subroutine */ int slas2_(real *, real *, real *, real *, real *)
+ ;
+ real ssmax;
+ extern /* Subroutine */ int saxpy_(integer *, real *, real *, integer *,
+ real *, integer *), slarfg_(integer *, real *, real *, integer *,
+ real *);
+
+
+/* -- LAPACK auxiliary routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* Given two column vectors X and Y, let */
+
+/* A = ( X Y ). */
+
+/* The subroutine first computes the QR factorization of A = Q*R, */
+/* and then computes the SVD of the 2-by-2 upper triangular matrix R. */
+/* The smaller singular value of R is returned in SSMIN, which is used */
+/* as the measurement of the linear dependency of the vectors X and Y. */
+
+/* Arguments */
+/* ========= */
+
+/* N (input) INTEGER */
+/* The length of the vectors X and Y. */
+
+/* X (input/output) REAL array, */
+/* dimension (1+(N-1)*INCX) */
+/* On entry, X contains the N-vector X. */
+/* On exit, X is overwritten. */
+
+/* INCX (input) INTEGER */
+/* The increment between successive elements of X. INCX > 0. */
+
+/* Y (input/output) REAL array, */
+/* dimension (1+(N-1)*INCY) */
+/* On entry, Y contains the N-vector Y. */
+/* On exit, Y is overwritten. */
+
+/* INCY (input) INTEGER */
+/* The increment between successive elements of Y. INCY > 0. */
+
+/* SSMIN (output) REAL */
+/* The smallest singular value of the N-by-2 matrix A = ( X Y ). */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Quick return if possible */
+
+ /* Parameter adjustments */
+ --y;
+ --x;
+
+ /* Function Body */
+ if (*n <= 1) {
+ *ssmin = 0.f;
+ return 0;
+ }
+
+/* Compute the QR factorization of the N-by-2 matrix ( X Y ) */
+
+ slarfg_(n, &x[1], &x[*incx + 1], incx, &tau);
+ a11 = x[1];
+ x[1] = 1.f;
+
+ c__ = -tau * sdot_(n, &x[1], incx, &y[1], incy);
+ saxpy_(n, &c__, &x[1], incx, &y[1], incy);
+
+ i__1 = *n - 1;
+ slarfg_(&i__1, &y[*incy + 1], &y[(*incy << 1) + 1], incy, &tau);
+
+ a12 = y[1];
+ a22 = y[*incy + 1];
+
+/* Compute the SVD of 2-by-2 Upper triangular matrix. */
+
+ slas2_(&a11, &a12, &a22, ssmin, &ssmax);
+
+ return 0;
+
+/* End of SLAPLL */
+
+} /* slapll_ */