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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/sgehd2.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
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diff --git a/contrib/libs/clapack/sgehd2.c b/contrib/libs/clapack/sgehd2.c
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+/* sgehd2.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 sgehd2_(integer *n, integer *ilo, integer *ihi, real *a,
+ integer *lda, real *tau, real *work, integer *info)
+{
+ /* System generated locals */
+ integer a_dim1, a_offset, i__1, i__2, i__3;
+
+ /* Local variables */
+ integer i__;
+ real aii;
+ extern /* Subroutine */ int slarf_(char *, integer *, integer *, real *,
+ integer *, real *, real *, integer *, real *), xerbla_(
+ char *, integer *), slarfg_(integer *, real *, real *,
+ integer *, real *);
+
+
+/* -- LAPACK routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* SGEHD2 reduces a real general matrix A to upper Hessenberg form H by */
+/* an orthogonal similarity transformation: Q' * A * Q = H . */
+
+/* Arguments */
+/* ========= */
+
+/* N (input) INTEGER */
+/* The order of the matrix A. N >= 0. */
+
+/* ILO (input) INTEGER */
+/* IHI (input) INTEGER */
+/* It is assumed that A is already upper triangular in rows */
+/* and columns 1:ILO-1 and IHI+1:N. ILO and IHI are normally */
+/* set by a previous call to SGEBAL; otherwise they should be */
+/* set to 1 and N respectively. See Further Details. */
+/* 1 <= ILO <= IHI <= max(1,N). */
+
+/* A (input/output) REAL array, dimension (LDA,N) */
+/* On entry, the n by n general matrix to be reduced. */
+/* On exit, the upper triangle and the first subdiagonal of A */
+/* are overwritten with the upper Hessenberg matrix H, and the */
+/* elements below the first subdiagonal, with the array TAU, */
+/* represent the orthogonal matrix Q as a product of elementary */
+/* reflectors. See Further Details. */
+
+/* LDA (input) INTEGER */
+/* The leading dimension of the array A. LDA >= max(1,N). */
+
+/* TAU (output) REAL array, dimension (N-1) */
+/* The scalar factors of the elementary reflectors (see Further */
+/* Details). */
+
+/* WORK (workspace) REAL array, dimension (N) */
+
+/* INFO (output) INTEGER */
+/* = 0: successful exit. */
+/* < 0: if INFO = -i, the i-th argument had an illegal value. */
+
+/* Further Details */
+/* =============== */
+
+/* The matrix Q is represented as a product of (ihi-ilo) elementary */
+/* reflectors */
+
+/* Q = H(ilo) H(ilo+1) . . . H(ihi-1). */
+
+/* Each H(i) has the form */
+
+/* H(i) = I - tau * v * v' */
+
+/* where tau is a real scalar, and v is a real vector with */
+/* v(1:i) = 0, v(i+1) = 1 and v(ihi+1:n) = 0; v(i+2:ihi) is stored on */
+/* exit in A(i+2:ihi,i), and tau in TAU(i). */
+
+/* The contents of A are illustrated by the following example, with */
+/* n = 7, ilo = 2 and ihi = 6: */
+
+/* on entry, on exit, */
+
+/* ( a a a a a a a ) ( a a h h h h a ) */
+/* ( a a a a a a ) ( a h h h h a ) */
+/* ( a a a a a a ) ( h h h h h h ) */
+/* ( a a a a a a ) ( v2 h h h h h ) */
+/* ( a a a a a a ) ( v2 v3 h h h h ) */
+/* ( a a a a a a ) ( v2 v3 v4 h h h ) */
+/* ( a ) ( a ) */
+
+/* where a denotes an element of the original matrix A, h denotes a */
+/* modified element of the upper Hessenberg matrix H, and vi denotes an */
+/* element of the vector defining H(i). */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Intrinsic Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Test the input parameters */
+
+ /* Parameter adjustments */
+ a_dim1 = *lda;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ --tau;
+ --work;
+
+ /* Function Body */
+ *info = 0;
+ if (*n < 0) {
+ *info = -1;
+ } else if (*ilo < 1 || *ilo > max(1,*n)) {
+ *info = -2;
+ } else if (*ihi < min(*ilo,*n) || *ihi > *n) {
+ *info = -3;
+ } else if (*lda < max(1,*n)) {
+ *info = -5;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("SGEHD2", &i__1);
+ return 0;
+ }
+
+ i__1 = *ihi - 1;
+ for (i__ = *ilo; i__ <= i__1; ++i__) {
+
+/* Compute elementary reflector H(i) to annihilate A(i+2:ihi,i) */
+
+ i__2 = *ihi - i__;
+/* Computing MIN */
+ i__3 = i__ + 2;
+ slarfg_(&i__2, &a[i__ + 1 + i__ * a_dim1], &a[min(i__3, *n)+ i__ *
+ a_dim1], &c__1, &tau[i__]);
+ aii = a[i__ + 1 + i__ * a_dim1];
+ a[i__ + 1 + i__ * a_dim1] = 1.f;
+
+/* Apply H(i) to A(1:ihi,i+1:ihi) from the right */
+
+ i__2 = *ihi - i__;
+ slarf_("Right", ihi, &i__2, &a[i__ + 1 + i__ * a_dim1], &c__1, &tau[
+ i__], &a[(i__ + 1) * a_dim1 + 1], lda, &work[1]);
+
+/* Apply H(i) to A(i+1:ihi,i+1:n) from the left */
+
+ i__2 = *ihi - i__;
+ i__3 = *n - i__;
+ slarf_("Left", &i__2, &i__3, &a[i__ + 1 + i__ * a_dim1], &c__1, &tau[
+ i__], &a[i__ + 1 + (i__ + 1) * a_dim1], lda, &work[1]);
+
+ a[i__ + 1 + i__ * a_dim1] = aii;
+/* L10: */
+ }
+
+ return 0;
+
+/* End of SGEHD2 */
+
+} /* sgehd2_ */