aboutsummaryrefslogtreecommitdiffstats
path: root/contrib/libs/clapack/zlarft.c
diff options
context:
space:
mode:
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/zlarft.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/zlarft.c')
-rw-r--r--contrib/libs/clapack/zlarft.c362
1 files changed, 362 insertions, 0 deletions
diff --git a/contrib/libs/clapack/zlarft.c b/contrib/libs/clapack/zlarft.c
new file mode 100644
index 0000000000..b55adc2abb
--- /dev/null
+++ b/contrib/libs/clapack/zlarft.c
@@ -0,0 +1,362 @@
+/* zlarft.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 doublecomplex c_b2 = {0.,0.};
+static integer c__1 = 1;
+
+/* Subroutine */ int zlarft_(char *direct, char *storev, integer *n, integer *
+ k, doublecomplex *v, integer *ldv, doublecomplex *tau, doublecomplex *
+ t, integer *ldt)
+{
+ /* System generated locals */
+ integer t_dim1, t_offset, v_dim1, v_offset, i__1, i__2, i__3, i__4;
+ doublecomplex z__1;
+
+ /* Local variables */
+ integer i__, j, prevlastv;
+ doublecomplex vii;
+ extern logical lsame_(char *, char *);
+ extern /* Subroutine */ int zgemv_(char *, integer *, integer *,
+ doublecomplex *, doublecomplex *, integer *, doublecomplex *,
+ integer *, doublecomplex *, doublecomplex *, integer *);
+ integer lastv;
+ extern /* Subroutine */ int ztrmv_(char *, char *, char *, integer *,
+ doublecomplex *, integer *, doublecomplex *, integer *), zlacgv_(integer *, doublecomplex *, integer *);
+
+
+/* -- LAPACK auxiliary routine (version 3.2) -- */
+/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/* November 2006 */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* ZLARFT 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 */
+
+/* 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) */
+/* = '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 */
+/* = '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*16 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*16 array, dimension (K) */
+/* TAU(i) must contain the scalar factor of the elementary */
+/* reflector H(i). */
+
+/* T (output) COMPLEX*16 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 */
+/* =============== */
+
+/* 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 = ( 1 ) V = ( 1 v1 v1 v1 v1 ) */
+/* ( v1 1 ) ( 1 v2 v2 v2 ) */
+/* ( v1 v2 1 ) ( 1 v3 v3 ) */
+/* ( v1 v2 v3 ) */
+/* ( v1 v2 v3 ) */
+
+/* DIRECT = 'B' and STOREV = 'C': DIRECT = 'B' and STOREV = 'R': */
+
+/* V = ( v1 v2 v3 ) V = ( v1 v1 1 ) */
+/* ( v1 v2 v3 ) ( v2 v2 v2 1 ) */
+/* ( 1 v2 v3 ) ( v3 v3 v3 v3 1 ) */
+/* ( 1 v3 ) */
+/* ( 1 ) */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Quick return if possible */
+
+ /* 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 */
+ if (*n == 0) {
+ return 0;
+ }
+
+ if (lsame_(direct, "F")) {
+ prevlastv = *n;
+ i__1 = *k;
+ for (i__ = 1; i__ <= i__1; ++i__) {
+ prevlastv = max(prevlastv,i__);
+ i__2 = i__;
+ if (tau[i__2].r == 0. && tau[i__2].i == 0.) {
+
+/* H(i) = I */
+
+ i__2 = i__;
+ for (j = 1; j <= i__2; ++j) {
+ i__3 = j + i__ * t_dim1;
+ t[i__3].r = 0., t[i__3].i = 0.;
+/* L10: */
+ }
+ } else {
+
+/* general case */
+
+ i__2 = i__ + i__ * v_dim1;
+ vii.r = v[i__2].r, vii.i = v[i__2].i;
+ i__2 = i__ + i__ * v_dim1;
+ v[i__2].r = 1., v[i__2].i = 0.;
+ if (lsame_(storev, "C")) {
+/* Skip any trailing zeros. */
+ i__2 = i__ + 1;
+ for (lastv = *n; lastv >= i__2; --lastv) {
+ i__3 = lastv + i__ * v_dim1;
+ if (v[i__3].r != 0. || v[i__3].i != 0.) {
+ break;
+ }
+ }
+ j = min(lastv,prevlastv);
+
+/* T(1:i-1,i) := - tau(i) * V(i:j,1:i-1)' * V(i:j,i) */
+
+ i__2 = j - i__ + 1;
+ i__3 = i__ - 1;
+ i__4 = i__;
+ z__1.r = -tau[i__4].r, z__1.i = -tau[i__4].i;
+ zgemv_("Conjugate transpose", &i__2, &i__3, &z__1, &v[i__
+ + v_dim1], ldv, &v[i__ + i__ * v_dim1], &c__1, &
+ c_b2, &t[i__ * t_dim1 + 1], &c__1);
+ } else {
+/* Skip any trailing zeros. */
+ i__2 = i__ + 1;
+ for (lastv = *n; lastv >= i__2; --lastv) {
+ i__3 = i__ + lastv * v_dim1;
+ if (v[i__3].r != 0. || v[i__3].i != 0.) {
+ break;
+ }
+ }
+ j = min(lastv,prevlastv);
+
+/* T(1:i-1,i) := - tau(i) * V(1:i-1,i:j) * V(i,i:j)' */
+
+ if (i__ < j) {
+ i__2 = j - i__;
+ zlacgv_(&i__2, &v[i__ + (i__ + 1) * v_dim1], ldv);
+ }
+ i__2 = i__ - 1;
+ i__3 = j - i__ + 1;
+ i__4 = i__;
+ z__1.r = -tau[i__4].r, z__1.i = -tau[i__4].i;
+ zgemv_("No transpose", &i__2, &i__3, &z__1, &v[i__ *
+ v_dim1 + 1], ldv, &v[i__ + i__ * v_dim1], ldv, &
+ c_b2, &t[i__ * t_dim1 + 1], &c__1);
+ if (i__ < j) {
+ i__2 = j - i__;
+ zlacgv_(&i__2, &v[i__ + (i__ + 1) * v_dim1], ldv);
+ }
+ }
+ i__2 = i__ + i__ * v_dim1;
+ v[i__2].r = vii.r, v[i__2].i = vii.i;
+
+/* T(1:i-1,i) := T(1:i-1,1:i-1) * T(1:i-1,i) */
+
+ i__2 = i__ - 1;
+ ztrmv_("Upper", "No transpose", "Non-unit", &i__2, &t[
+ t_offset], ldt, &t[i__ * t_dim1 + 1], &c__1);
+ i__2 = i__ + i__ * t_dim1;
+ i__3 = i__;
+ t[i__2].r = tau[i__3].r, t[i__2].i = tau[i__3].i;
+ if (i__ > 1) {
+ prevlastv = max(prevlastv,lastv);
+ } else {
+ prevlastv = lastv;
+ }
+ }
+/* L20: */
+ }
+ } else {
+ prevlastv = 1;
+ for (i__ = *k; i__ >= 1; --i__) {
+ i__1 = i__;
+ if (tau[i__1].r == 0. && tau[i__1].i == 0.) {
+
+/* H(i) = I */
+
+ i__1 = *k;
+ for (j = i__; j <= i__1; ++j) {
+ i__2 = j + i__ * t_dim1;
+ t[i__2].r = 0., t[i__2].i = 0.;
+/* L30: */
+ }
+ } else {
+
+/* general case */
+
+ if (i__ < *k) {
+ if (lsame_(storev, "C")) {
+ i__1 = *n - *k + i__ + i__ * v_dim1;
+ vii.r = v[i__1].r, vii.i = v[i__1].i;
+ i__1 = *n - *k + i__ + i__ * v_dim1;
+ v[i__1].r = 1., v[i__1].i = 0.;
+/* Skip any leading zeros. */
+ i__1 = i__ - 1;
+ for (lastv = 1; lastv <= i__1; ++lastv) {
+ i__2 = lastv + i__ * v_dim1;
+ if (v[i__2].r != 0. || v[i__2].i != 0.) {
+ break;
+ }
+ }
+ j = max(lastv,prevlastv);
+
+/* T(i+1:k,i) := */
+/* - tau(i) * V(j:n-k+i,i+1:k)' * V(j:n-k+i,i) */
+
+ i__1 = *n - *k + i__ - j + 1;
+ i__2 = *k - i__;
+ i__3 = i__;
+ z__1.r = -tau[i__3].r, z__1.i = -tau[i__3].i;
+ zgemv_("Conjugate transpose", &i__1, &i__2, &z__1, &v[
+ j + (i__ + 1) * v_dim1], ldv, &v[j + i__ *
+ v_dim1], &c__1, &c_b2, &t[i__ + 1 + i__ *
+ t_dim1], &c__1);
+ i__1 = *n - *k + i__ + i__ * v_dim1;
+ v[i__1].r = vii.r, v[i__1].i = vii.i;
+ } else {
+ i__1 = i__ + (*n - *k + i__) * v_dim1;
+ vii.r = v[i__1].r, vii.i = v[i__1].i;
+ i__1 = i__ + (*n - *k + i__) * v_dim1;
+ v[i__1].r = 1., v[i__1].i = 0.;
+/* Skip any leading zeros. */
+ i__1 = i__ - 1;
+ for (lastv = 1; lastv <= i__1; ++lastv) {
+ i__2 = i__ + lastv * v_dim1;
+ if (v[i__2].r != 0. || v[i__2].i != 0.) {
+ break;
+ }
+ }
+ j = max(lastv,prevlastv);
+
+/* T(i+1:k,i) := */
+/* - tau(i) * V(i+1:k,j:n-k+i) * V(i,j:n-k+i)' */
+
+ i__1 = *n - *k + i__ - 1 - j + 1;
+ zlacgv_(&i__1, &v[i__ + j * v_dim1], ldv);
+ i__1 = *k - i__;
+ i__2 = *n - *k + i__ - j + 1;
+ i__3 = i__;
+ z__1.r = -tau[i__3].r, z__1.i = -tau[i__3].i;
+ zgemv_("No transpose", &i__1, &i__2, &z__1, &v[i__ +
+ 1 + j * v_dim1], ldv, &v[i__ + j * v_dim1],
+ ldv, &c_b2, &t[i__ + 1 + i__ * t_dim1], &c__1);
+ i__1 = *n - *k + i__ - 1 - j + 1;
+ zlacgv_(&i__1, &v[i__ + j * v_dim1], ldv);
+ i__1 = i__ + (*n - *k + i__) * v_dim1;
+ v[i__1].r = vii.r, v[i__1].i = vii.i;
+ }
+
+/* T(i+1:k,i) := T(i+1:k,i+1:k) * T(i+1:k,i) */
+
+ i__1 = *k - i__;
+ ztrmv_("Lower", "No transpose", "Non-unit", &i__1, &t[i__
+ + 1 + (i__ + 1) * t_dim1], ldt, &t[i__ + 1 + i__ *
+ t_dim1], &c__1)
+ ;
+ if (i__ > 1) {
+ prevlastv = min(prevlastv,lastv);
+ } else {
+ prevlastv = lastv;
+ }
+ }
+ 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;
+ }
+/* L40: */
+ }
+ }
+ return 0;
+
+/* End of ZLARFT */
+
+} /* zlarft_ */