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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/zungql.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/zungql.c')
-rw-r--r--contrib/libs/clapack/zungql.c296
1 files changed, 296 insertions, 0 deletions
diff --git a/contrib/libs/clapack/zungql.c b/contrib/libs/clapack/zungql.c
new file mode 100644
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+++ b/contrib/libs/clapack/zungql.c
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+/* zungql.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;
+static integer c_n1 = -1;
+static integer c__3 = 3;
+static integer c__2 = 2;
+
+/* Subroutine */ int zungql_(integer *m, integer *n, integer *k,
+ doublecomplex *a, integer *lda, doublecomplex *tau, doublecomplex *
+ work, integer *lwork, integer *info)
+{
+ /* System generated locals */
+ integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
+
+ /* Local variables */
+ integer i__, j, l, ib, nb, kk, nx, iws, nbmin, iinfo;
+ extern /* Subroutine */ int zung2l_(integer *, integer *, integer *,
+ doublecomplex *, integer *, doublecomplex *, doublecomplex *,
+ integer *), xerbla_(char *, integer *);
+ extern integer ilaenv_(integer *, char *, char *, integer *, integer *,
+ integer *, integer *);
+ extern /* Subroutine */ int zlarfb_(char *, char *, char *, char *,
+ integer *, integer *, integer *, doublecomplex *, integer *,
+ doublecomplex *, integer *, doublecomplex *, integer *,
+ doublecomplex *, integer *);
+ integer ldwork;
+ extern /* Subroutine */ int zlarft_(char *, char *, integer *, integer *,
+ doublecomplex *, integer *, doublecomplex *, doublecomplex *,
+ integer *);
+ logical lquery;
+ integer lwkopt;
+
+
+/* -- LAPACK routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* ZUNGQL generates an M-by-N complex matrix Q with orthonormal columns, */
+/* which is defined as the last N columns of a product of K elementary */
+/* reflectors of order M */
+
+/* Q = H(k) . . . H(2) H(1) */
+
+/* as returned by ZGEQLF. */
+
+/* Arguments */
+/* ========= */
+
+/* M (input) INTEGER */
+/* The number of rows of the matrix Q. M >= 0. */
+
+/* N (input) INTEGER */
+/* The number of columns of the matrix Q. M >= N >= 0. */
+
+/* K (input) INTEGER */
+/* The number of elementary reflectors whose product defines the */
+/* matrix Q. N >= K >= 0. */
+
+/* A (input/output) COMPLEX*16 array, dimension (LDA,N) */
+/* On entry, the (n-k+i)-th column must contain the vector which */
+/* defines the elementary reflector H(i), for i = 1,2,...,k, as */
+/* returned by ZGEQLF in the last k columns of its array */
+/* argument A. */
+/* On exit, the M-by-N matrix Q. */
+
+/* LDA (input) INTEGER */
+/* The first dimension of the array A. LDA >= max(1,M). */
+
+/* TAU (input) COMPLEX*16 array, dimension (K) */
+/* TAU(i) must contain the scalar factor of the elementary */
+/* reflector H(i), as returned by ZGEQLF. */
+
+/* WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK)) */
+/* On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */
+
+/* LWORK (input) INTEGER */
+/* The dimension of the array WORK. LWORK >= max(1,N). */
+/* For optimum performance LWORK >= N*NB, where NB is the */
+/* optimal blocksize. */
+
+/* If LWORK = -1, then a workspace query is assumed; the routine */
+/* only calculates the optimal size of the WORK array, returns */
+/* this value as the first entry of the WORK array, and no error */
+/* message related to LWORK is issued by XERBLA. */
+
+/* INFO (output) INTEGER */
+/* = 0: successful exit */
+/* < 0: if INFO = -i, the i-th argument has an illegal value */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Intrinsic Functions .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Test the input arguments */
+
+ /* Parameter adjustments */
+ a_dim1 = *lda;
+ a_offset = 1 + a_dim1;
+ a -= a_offset;
+ --tau;
+ --work;
+
+ /* Function Body */
+ *info = 0;
+ lquery = *lwork == -1;
+ if (*m < 0) {
+ *info = -1;
+ } else if (*n < 0 || *n > *m) {
+ *info = -2;
+ } else if (*k < 0 || *k > *n) {
+ *info = -3;
+ } else if (*lda < max(1,*m)) {
+ *info = -5;
+ }
+
+ if (*info == 0) {
+ if (*n == 0) {
+ lwkopt = 1;
+ } else {
+ nb = ilaenv_(&c__1, "ZUNGQL", " ", m, n, k, &c_n1);
+ lwkopt = *n * nb;
+ }
+ work[1].r = (doublereal) lwkopt, work[1].i = 0.;
+
+ if (*lwork < max(1,*n) && ! lquery) {
+ *info = -8;
+ }
+ }
+
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("ZUNGQL", &i__1);
+ return 0;
+ } else if (lquery) {
+ return 0;
+ }
+
+/* Quick return if possible */
+
+ if (*n <= 0) {
+ return 0;
+ }
+
+ nbmin = 2;
+ nx = 0;
+ iws = *n;
+ if (nb > 1 && nb < *k) {
+
+/* Determine when to cross over from blocked to unblocked code. */
+
+/* Computing MAX */
+ i__1 = 0, i__2 = ilaenv_(&c__3, "ZUNGQL", " ", m, n, k, &c_n1);
+ nx = max(i__1,i__2);
+ if (nx < *k) {
+
+/* Determine if workspace is large enough for blocked code. */
+
+ ldwork = *n;
+ iws = ldwork * nb;
+ if (*lwork < iws) {
+
+/* Not enough workspace to use optimal NB: reduce NB and */
+/* determine the minimum value of NB. */
+
+ nb = *lwork / ldwork;
+/* Computing MAX */
+ i__1 = 2, i__2 = ilaenv_(&c__2, "ZUNGQL", " ", m, n, k, &c_n1);
+ nbmin = max(i__1,i__2);
+ }
+ }
+ }
+
+ if (nb >= nbmin && nb < *k && nx < *k) {
+
+/* Use blocked code after the first block. */
+/* The last kk columns are handled by the block method. */
+
+/* Computing MIN */
+ i__1 = *k, i__2 = (*k - nx + nb - 1) / nb * nb;
+ kk = min(i__1,i__2);
+
+/* Set A(m-kk+1:m,1:n-kk) to zero. */
+
+ i__1 = *n - kk;
+ for (j = 1; j <= i__1; ++j) {
+ i__2 = *m;
+ for (i__ = *m - kk + 1; i__ <= i__2; ++i__) {
+ i__3 = i__ + j * a_dim1;
+ a[i__3].r = 0., a[i__3].i = 0.;
+/* L10: */
+ }
+/* L20: */
+ }
+ } else {
+ kk = 0;
+ }
+
+/* Use unblocked code for the first or only block. */
+
+ i__1 = *m - kk;
+ i__2 = *n - kk;
+ i__3 = *k - kk;
+ zung2l_(&i__1, &i__2, &i__3, &a[a_offset], lda, &tau[1], &work[1], &iinfo)
+ ;
+
+ if (kk > 0) {
+
+/* Use blocked code */
+
+ i__1 = *k;
+ i__2 = nb;
+ for (i__ = *k - kk + 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ +=
+ i__2) {
+/* Computing MIN */
+ i__3 = nb, i__4 = *k - i__ + 1;
+ ib = min(i__3,i__4);
+ if (*n - *k + i__ > 1) {
+
+/* Form the triangular factor of the block reflector */
+/* H = H(i+ib-1) . . . H(i+1) H(i) */
+
+ i__3 = *m - *k + i__ + ib - 1;
+ zlarft_("Backward", "Columnwise", &i__3, &ib, &a[(*n - *k +
+ i__) * a_dim1 + 1], lda, &tau[i__], &work[1], &ldwork);
+
+/* Apply H to A(1:m-k+i+ib-1,1:n-k+i-1) from the left */
+
+ i__3 = *m - *k + i__ + ib - 1;
+ i__4 = *n - *k + i__ - 1;
+ zlarfb_("Left", "No transpose", "Backward", "Columnwise", &
+ i__3, &i__4, &ib, &a[(*n - *k + i__) * a_dim1 + 1],
+ lda, &work[1], &ldwork, &a[a_offset], lda, &work[ib +
+ 1], &ldwork);
+ }
+
+/* Apply H to rows 1:m-k+i+ib-1 of current block */
+
+ i__3 = *m - *k + i__ + ib - 1;
+ zung2l_(&i__3, &ib, &ib, &a[(*n - *k + i__) * a_dim1 + 1], lda, &
+ tau[i__], &work[1], &iinfo);
+
+/* Set rows m-k+i+ib:m of current block to zero */
+
+ i__3 = *n - *k + i__ + ib - 1;
+ for (j = *n - *k + i__; j <= i__3; ++j) {
+ i__4 = *m;
+ for (l = *m - *k + i__ + ib; l <= i__4; ++l) {
+ i__5 = l + j * a_dim1;
+ a[i__5].r = 0., a[i__5].i = 0.;
+/* L30: */
+ }
+/* L40: */
+ }
+/* L50: */
+ }
+ }
+
+ work[1].r = (doublereal) iws, work[1].i = 0.;
+ return 0;
+
+/* End of ZUNGQL */
+
+} /* zungql_ */