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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/clarzt.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/clarzt.c')
-rw-r--r--contrib/libs/clapack/clarzt.c236
1 files changed, 236 insertions, 0 deletions
diff --git a/contrib/libs/clapack/clarzt.c b/contrib/libs/clapack/clarzt.c
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+/* clarzt.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 complex c_b1 = {0.f,0.f};
+static integer c__1 = 1;
+
+/* Subroutine */ int clarzt_(char *direct, char *storev, integer *n, integer *
+ k, complex *v, integer *ldv, complex *tau, complex *t, integer *ldt)
+{
+ /* System generated locals */
+ integer t_dim1, t_offset, v_dim1, v_offset, i__1, i__2;
+ complex q__1;
+
+ /* Local variables */
+ integer i__, j, info;
+ extern /* Subroutine */ int cgemv_(char *, integer *, integer *, complex *
+, complex *, integer *, complex *, integer *, complex *, complex *
+, integer *);
+ extern logical lsame_(char *, char *);
+ extern /* Subroutine */ int ctrmv_(char *, char *, char *, integer *,
+ complex *, integer *, complex *, integer *), clacgv_(integer *, complex *, integer *), xerbla_(char *,
+ integer *);
+
+
+/* -- LAPACK routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* CLARZT forms the triangular factor T of a complex block reflector */
+/* H of order > n, which is defined as a product of k elementary */
+/* reflectors. */
+
+/* If DIRECT = 'F', H = H(1) H(2) . . . H(k) and T is upper triangular; */
+
+/* If DIRECT = 'B', H = H(k) . . . H(2) H(1) and T is lower triangular. */
+
+/* If STOREV = 'C', the vector which defines the elementary reflector */
+/* H(i) is stored in the i-th column of the array V, and */
+
+/* H = I - V * T * V' */
+
+/* If STOREV = 'R', the vector which defines the elementary reflector */
+/* H(i) is stored in the i-th row of the array V, and */
+
+/* H = I - V' * T * V */
+
+/* Currently, only STOREV = 'R' and DIRECT = 'B' are supported. */
+
+/* Arguments */
+/* ========= */
+
+/* DIRECT (input) CHARACTER*1 */
+/* Specifies the order in which the elementary reflectors are */
+/* multiplied to form the block reflector: */
+/* = 'F': H = H(1) H(2) . . . H(k) (Forward, not supported yet) */
+/* = 'B': H = H(k) . . . H(2) H(1) (Backward) */
+
+/* STOREV (input) CHARACTER*1 */
+/* Specifies how the vectors which define the elementary */
+/* reflectors are stored (see also Further Details): */
+/* = 'C': columnwise (not supported yet) */
+/* = 'R': rowwise */
+
+/* N (input) INTEGER */
+/* The order of the block reflector H. N >= 0. */
+
+/* K (input) INTEGER */
+/* The order of the triangular factor T (= the number of */
+/* elementary reflectors). K >= 1. */
+
+/* V (input/output) COMPLEX array, dimension */
+/* (LDV,K) if STOREV = 'C' */
+/* (LDV,N) if STOREV = 'R' */
+/* The matrix V. See further details. */
+
+/* LDV (input) INTEGER */
+/* The leading dimension of the array V. */
+/* If STOREV = 'C', LDV >= max(1,N); if STOREV = 'R', LDV >= K. */
+
+/* TAU (input) COMPLEX array, dimension (K) */
+/* TAU(i) must contain the scalar factor of the elementary */
+/* reflector H(i). */
+
+/* T (output) COMPLEX array, dimension (LDT,K) */
+/* The k by k triangular factor T of the block reflector. */
+/* If DIRECT = 'F', T is upper triangular; if DIRECT = 'B', T is */
+/* lower triangular. The rest of the array is not used. */
+
+/* LDT (input) INTEGER */
+/* The leading dimension of the array T. LDT >= K. */
+
+/* Further Details */
+/* =============== */
+
+/* Based on contributions by */
+/* A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA */
+
+/* The shape of the matrix V and the storage of the vectors which define */
+/* the H(i) is best illustrated by the following example with n = 5 and */
+/* k = 3. The elements equal to 1 are not stored; the corresponding */
+/* array elements are modified but restored on exit. The rest of the */
+/* array is not used. */
+
+/* DIRECT = 'F' and STOREV = 'C': DIRECT = 'F' and STOREV = 'R': */
+
+/* ______V_____ */
+/* ( v1 v2 v3 ) / \ */
+/* ( v1 v2 v3 ) ( v1 v1 v1 v1 v1 . . . . 1 ) */
+/* V = ( v1 v2 v3 ) ( v2 v2 v2 v2 v2 . . . 1 ) */
+/* ( v1 v2 v3 ) ( v3 v3 v3 v3 v3 . . 1 ) */
+/* ( v1 v2 v3 ) */
+/* . . . */
+/* . . . */
+/* 1 . . */
+/* 1 . */
+/* 1 */
+
+/* DIRECT = 'B' and STOREV = 'C': DIRECT = 'B' and STOREV = 'R': */
+
+/* ______V_____ */
+/* 1 / \ */
+/* . 1 ( 1 . . . . v1 v1 v1 v1 v1 ) */
+/* . . 1 ( . 1 . . . v2 v2 v2 v2 v2 ) */
+/* . . . ( . . 1 . . v3 v3 v3 v3 v3 ) */
+/* . . . */
+/* ( v1 v2 v3 ) */
+/* ( v1 v2 v3 ) */
+/* V = ( v1 v2 v3 ) */
+/* ( v1 v2 v3 ) */
+/* ( v1 v2 v3 ) */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Check for currently supported options */
+
+ /* Parameter adjustments */
+ v_dim1 = *ldv;
+ v_offset = 1 + v_dim1;
+ v -= v_offset;
+ --tau;
+ t_dim1 = *ldt;
+ t_offset = 1 + t_dim1;
+ t -= t_offset;
+
+ /* Function Body */
+ info = 0;
+ if (! lsame_(direct, "B")) {
+ info = -1;
+ } else if (! lsame_(storev, "R")) {
+ info = -2;
+ }
+ if (info != 0) {
+ i__1 = -info;
+ xerbla_("CLARZT", &i__1);
+ return 0;
+ }
+
+ for (i__ = *k; i__ >= 1; --i__) {
+ i__1 = i__;
+ if (tau[i__1].r == 0.f && tau[i__1].i == 0.f) {
+
+/* H(i) = I */
+
+ i__1 = *k;
+ for (j = i__; j <= i__1; ++j) {
+ i__2 = j + i__ * t_dim1;
+ t[i__2].r = 0.f, t[i__2].i = 0.f;
+/* L10: */
+ }
+ } else {
+
+/* general case */
+
+ if (i__ < *k) {
+
+/* T(i+1:k,i) = - tau(i) * V(i+1:k,1:n) * V(i,1:n)' */
+
+ clacgv_(n, &v[i__ + v_dim1], ldv);
+ i__1 = *k - i__;
+ i__2 = i__;
+ q__1.r = -tau[i__2].r, q__1.i = -tau[i__2].i;
+ cgemv_("No transpose", &i__1, n, &q__1, &v[i__ + 1 + v_dim1],
+ ldv, &v[i__ + v_dim1], ldv, &c_b1, &t[i__ + 1 + i__ *
+ t_dim1], &c__1);
+ clacgv_(n, &v[i__ + v_dim1], ldv);
+
+/* T(i+1:k,i) = T(i+1:k,i+1:k) * T(i+1:k,i) */
+
+ i__1 = *k - i__;
+ ctrmv_("Lower", "No transpose", "Non-unit", &i__1, &t[i__ + 1
+ + (i__ + 1) * t_dim1], ldt, &t[i__ + 1 + i__ * t_dim1]
+, &c__1);
+ }
+ i__1 = i__ + i__ * t_dim1;
+ i__2 = i__;
+ t[i__1].r = tau[i__2].r, t[i__1].i = tau[i__2].i;
+ }
+/* L20: */
+ }
+ return 0;
+
+/* End of CLARZT */
+
+} /* clarzt_ */