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/* dlarfb.f -- translated by f2c (version 20061008).
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You must link the resulting object file with libf2c:
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on Microsoft Windows system, link with libf2c.lib;
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on Linux or Unix systems, link with .../path/to/libf2c.a -lm
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or, if you install libf2c.a in a standard place, with -lf2c -lm
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-- in that order, at the end of the command line, as in
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cc *.o -lf2c -lm
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Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
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http://www.netlib.org/f2c/libf2c.zip
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*/
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#include "clapack.h"
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/* Table of constant values */
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static integer c__1 = 1;
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static doublereal c_b14 = 1.;
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static doublereal c_b25 = -1.;
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/* Subroutine */ int dlarfb_(char *side, char *trans, char *direct, char *
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storev, integer *m, integer *n, integer *k, doublereal *v, integer *
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ldv, doublereal *t, integer *ldt, doublereal *c__, integer *ldc,
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doublereal *work, integer *ldwork)
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{
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/* System generated locals */
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integer c_dim1, c_offset, t_dim1, t_offset, v_dim1, v_offset, work_dim1,
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work_offset, i__1, i__2;
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/* Local variables */
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integer i__, j;
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extern /* Subroutine */ int dgemm_(char *, char *, integer *, integer *,
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integer *, doublereal *, doublereal *, integer *, doublereal *,
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integer *, doublereal *, doublereal *, integer *);
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extern logical lsame_(char *, char *);
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integer lastc;
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extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *,
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doublereal *, integer *), dtrmm_(char *, char *, char *, char *,
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integer *, integer *, doublereal *, doublereal *, integer *,
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doublereal *, integer *);
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integer lastv;
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extern integer iladlc_(integer *, integer *, doublereal *, integer *),
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iladlr_(integer *, integer *, doublereal *, integer *);
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char transt[1];
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/* -- LAPACK auxiliary routine (version 3.2) -- */
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/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
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/* November 2006 */
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/* .. Scalar Arguments .. */
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/* .. */
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/* .. Array Arguments .. */
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/* .. */
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/* Purpose */
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/* ======= */
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/* DLARFB applies a real block reflector H or its transpose H' to a */
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/* real m by n matrix C, from either the left or the right. */
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/* Arguments */
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/* ========= */
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/* SIDE (input) CHARACTER*1 */
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/* = 'L': apply H or H' from the Left */
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/* = 'R': apply H or H' from the Right */
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/* TRANS (input) CHARACTER*1 */
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/* = 'N': apply H (No transpose) */
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/* = 'T': apply H' (Transpose) */
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/* DIRECT (input) CHARACTER*1 */
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/* Indicates how H is formed from a product of elementary */
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/* reflectors */
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/* = 'F': H = H(1) H(2) . . . H(k) (Forward) */
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/* = 'B': H = H(k) . . . H(2) H(1) (Backward) */
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/* STOREV (input) CHARACTER*1 */
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/* Indicates how the vectors which define the elementary */
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/* reflectors are stored: */
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/* = 'C': Columnwise */
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/* = 'R': Rowwise */
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/* M (input) INTEGER */
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/* The number of rows of the matrix C. */
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/* N (input) INTEGER */
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/* The number of columns of the matrix C. */
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/* K (input) INTEGER */
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/* The order of the matrix T (= the number of elementary */
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/* reflectors whose product defines the block reflector). */
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/* V (input) DOUBLE PRECISION array, dimension */
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/* (LDV,K) if STOREV = 'C' */
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/* (LDV,M) if STOREV = 'R' and SIDE = 'L' */
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/* (LDV,N) if STOREV = 'R' and SIDE = 'R' */
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/* The matrix V. See further details. */
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/* LDV (input) INTEGER */
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/* The leading dimension of the array V. */
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/* If STOREV = 'C' and SIDE = 'L', LDV >= max(1,M); */
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/* if STOREV = 'C' and SIDE = 'R', LDV >= max(1,N); */
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/* if STOREV = 'R', LDV >= K. */
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/* T (input) DOUBLE PRECISION array, dimension (LDT,K) */
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/* The triangular k by k matrix T in the representation of the */
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/* block reflector. */
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/* LDT (input) INTEGER */
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/* The leading dimension of the array T. LDT >= K. */
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/* C (input/output) DOUBLE PRECISION array, dimension (LDC,N) */
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/* On entry, the m by n matrix C. */
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/* On exit, C is overwritten by H*C or H'*C or C*H or C*H'. */
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/* LDC (input) INTEGER */
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/* The leading dimension of the array C. LDA >= max(1,M). */
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/* WORK (workspace) DOUBLE PRECISION array, dimension (LDWORK,K) */
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/* LDWORK (input) INTEGER */
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/* The leading dimension of the array WORK. */
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/* If SIDE = 'L', LDWORK >= max(1,N); */
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/* if SIDE = 'R', LDWORK >= max(1,M). */
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/* ===================================================================== */
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/* .. Parameters .. */
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/* .. */
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/* .. Local Scalars .. */
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/* .. */
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/* .. External Functions .. */
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/* .. */
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/* .. External Subroutines .. */
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/* .. */
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/* .. Executable Statements .. */
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/* Quick return if possible */
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/* Parameter adjustments */
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v_dim1 = *ldv;
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v_offset = 1 + v_dim1;
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v -= v_offset;
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t_dim1 = *ldt;
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t_offset = 1 + t_dim1;
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t -= t_offset;
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c_dim1 = *ldc;
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c_offset = 1 + c_dim1;
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c__ -= c_offset;
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work_dim1 = *ldwork;
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work_offset = 1 + work_dim1;
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work -= work_offset;
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/* Function Body */
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if (*m <= 0 || *n <= 0) {
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return 0;
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}
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if (lsame_(trans, "N")) {
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*(unsigned char *)transt = 'T';
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} else {
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*(unsigned char *)transt = 'N';
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}
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if (lsame_(storev, "C")) {
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if (lsame_(direct, "F")) {
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/* Let V = ( V1 ) (first K rows) */
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/* ( V2 ) */
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/* where V1 is unit lower triangular. */
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if (lsame_(side, "L")) {
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/* Form H * C or H' * C where C = ( C1 ) */
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/* ( C2 ) */
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/* Computing MAX */
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i__1 = *k, i__2 = iladlr_(m, k, &v[v_offset], ldv);
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lastv = max(i__1,i__2);
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lastc = iladlc_(&lastv, n, &c__[c_offset], ldc);
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/* W := C' * V = (C1'*V1 + C2'*V2) (stored in WORK) */
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/* W := C1' */
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i__1 = *k;
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for (j = 1; j <= i__1; ++j) {
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dcopy_(&lastc, &c__[j + c_dim1], ldc, &work[j * work_dim1
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+ 1], &c__1);
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/* L10: */
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}
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/* W := W * V1 */
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dtrmm_("Right", "Lower", "No transpose", "Unit", &lastc, k, &
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c_b14, &v[v_offset], ldv, &work[work_offset], ldwork);
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if (lastv > *k) {
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/* W := W + C2'*V2 */
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i__1 = lastv - *k;
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dgemm_("Transpose", "No transpose", &lastc, k, &i__1, &
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c_b14, &c__[*k + 1 + c_dim1], ldc, &v[*k + 1 +
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v_dim1], ldv, &c_b14, &work[work_offset], ldwork);
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}
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/* W := W * T' or W * T */
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dtrmm_("Right", "Upper", transt, "Non-unit", &lastc, k, &
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c_b14, &t[t_offset], ldt, &work[work_offset], ldwork);
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/* C := C - V * W' */
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if (lastv > *k) {
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/* C2 := C2 - V2 * W' */
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i__1 = lastv - *k;
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dgemm_("No transpose", "Transpose", &i__1, &lastc, k, &
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c_b25, &v[*k + 1 + v_dim1], ldv, &work[
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work_offset], ldwork, &c_b14, &c__[*k + 1 +
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c_dim1], ldc);
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}
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/* W := W * V1' */
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dtrmm_("Right", "Lower", "Transpose", "Unit", &lastc, k, &
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c_b14, &v[v_offset], ldv, &work[work_offset], ldwork);
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/* C1 := C1 - W' */
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i__1 = *k;
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for (j = 1; j <= i__1; ++j) {
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i__2 = lastc;
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for (i__ = 1; i__ <= i__2; ++i__) {
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c__[j + i__ * c_dim1] -= work[i__ + j * work_dim1];
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/* L20: */
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}
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/* L30: */
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}
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} else if (lsame_(side, "R")) {
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/* Form C * H or C * H' where C = ( C1 C2 ) */
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/* Computing MAX */
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i__1 = *k, i__2 = iladlr_(n, k, &v[v_offset], ldv);
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lastv = max(i__1,i__2);
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lastc = iladlr_(m, &lastv, &c__[c_offset], ldc);
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/* W := C * V = (C1*V1 + C2*V2) (stored in WORK) */
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/* W := C1 */
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i__1 = *k;
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for (j = 1; j <= i__1; ++j) {
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dcopy_(&lastc, &c__[j * c_dim1 + 1], &c__1, &work[j *
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work_dim1 + 1], &c__1);
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/* L40: */
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}
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/* W := W * V1 */
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dtrmm_("Right", "Lower", "No transpose", "Unit", &lastc, k, &
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c_b14, &v[v_offset], ldv, &work[work_offset], ldwork);
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if (lastv > *k) {
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/* W := W + C2 * V2 */
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i__1 = lastv - *k;
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dgemm_("No transpose", "No transpose", &lastc, k, &i__1, &
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c_b14, &c__[(*k + 1) * c_dim1 + 1], ldc, &v[*k +
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1 + v_dim1], ldv, &c_b14, &work[work_offset],
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ldwork);
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}
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/* W := W * T or W * T' */
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dtrmm_("Right", "Upper", trans, "Non-unit", &lastc, k, &c_b14,
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&t[t_offset], ldt, &work[work_offset], ldwork);
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/* C := C - W * V' */
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if (lastv > *k) {
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/* C2 := C2 - W * V2' */
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i__1 = lastv - *k;
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dgemm_("No transpose", "Transpose", &lastc, &i__1, k, &
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c_b25, &work[work_offset], ldwork, &v[*k + 1 +
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v_dim1], ldv, &c_b14, &c__[(*k + 1) * c_dim1 + 1],
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ldc);
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}
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/* W := W * V1' */
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dtrmm_("Right", "Lower", "Transpose", "Unit", &lastc, k, &
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c_b14, &v[v_offset], ldv, &work[work_offset], ldwork);
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/* C1 := C1 - W */
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i__1 = *k;
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for (j = 1; j <= i__1; ++j) {
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i__2 = lastc;
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for (i__ = 1; i__ <= i__2; ++i__) {
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|
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c__[i__ + j * c_dim1] -= work[i__ + j * work_dim1];
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|
|
/* L50: */
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}
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|
|
/* L60: */
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}
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}
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} else {
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|
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/* Let V = ( V1 ) */
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|
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/* ( V2 ) (last K rows) */
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|
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/* where V2 is unit upper triangular. */
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|
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if (lsame_(side, "L")) {
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|
|
/* Form H * C or H' * C where C = ( C1 ) */
|
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|
|
/* ( C2 ) */
|
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|
|
|
|
|
|
/* Computing MAX */
|
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|
|
i__1 = *k, i__2 = iladlr_(m, k, &v[v_offset], ldv);
|
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|
|
lastv = max(i__1,i__2);
|
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|
|
lastc = iladlc_(&lastv, n, &c__[c_offset], ldc);
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|
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|
|
/* W := C' * V = (C1'*V1 + C2'*V2) (stored in WORK) */
|
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|
|
|
|
|
|
/* W := C2' */
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|
|
|
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|
|
i__1 = *k;
|
|
|
|
for (j = 1; j <= i__1; ++j) {
|
|
|
|
dcopy_(&lastc, &c__[lastv - *k + j + c_dim1], ldc, &work[
|
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|
|
j * work_dim1 + 1], &c__1);
|
|
|
|
/* L70: */
|
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|
|
}
|
|
|
|
|
|
|
|
/* W := W * V2 */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Upper", "No transpose", "Unit", &lastc, k, &
|
|
|
|
c_b14, &v[lastv - *k + 1 + v_dim1], ldv, &work[
|
|
|
|
work_offset], ldwork);
|
|
|
|
if (lastv > *k) {
|
|
|
|
|
|
|
|
/* W := W + C1'*V1 */
|
|
|
|
|
|
|
|
i__1 = lastv - *k;
|
|
|
|
dgemm_("Transpose", "No transpose", &lastc, k, &i__1, &
|
|
|
|
c_b14, &c__[c_offset], ldc, &v[v_offset], ldv, &
|
|
|
|
c_b14, &work[work_offset], ldwork);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * T' or W * T */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Lower", transt, "Non-unit", &lastc, k, &
|
|
|
|
c_b14, &t[t_offset], ldt, &work[work_offset], ldwork);
|
|
|
|
|
|
|
|
/* C := C - V * W' */
|
|
|
|
|
|
|
|
if (lastv > *k) {
|
|
|
|
|
|
|
|
/* C1 := C1 - V1 * W' */
|
|
|
|
|
|
|
|
i__1 = lastv - *k;
|
|
|
|
dgemm_("No transpose", "Transpose", &i__1, &lastc, k, &
|
|
|
|
c_b25, &v[v_offset], ldv, &work[work_offset],
|
|
|
|
ldwork, &c_b14, &c__[c_offset], ldc);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * V2' */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Upper", "Transpose", "Unit", &lastc, k, &
|
|
|
|
c_b14, &v[lastv - *k + 1 + v_dim1], ldv, &work[
|
|
|
|
work_offset], ldwork);
|
|
|
|
|
|
|
|
/* C2 := C2 - W' */
|
|
|
|
|
|
|
|
i__1 = *k;
|
|
|
|
for (j = 1; j <= i__1; ++j) {
|
|
|
|
i__2 = lastc;
|
|
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
|
|
c__[lastv - *k + j + i__ * c_dim1] -= work[i__ + j *
|
|
|
|
work_dim1];
|
|
|
|
/* L80: */
|
|
|
|
}
|
|
|
|
/* L90: */
|
|
|
|
}
|
|
|
|
|
|
|
|
} else if (lsame_(side, "R")) {
|
|
|
|
|
|
|
|
/* Form C * H or C * H' where C = ( C1 C2 ) */
|
|
|
|
|
|
|
|
/* Computing MAX */
|
|
|
|
i__1 = *k, i__2 = iladlr_(n, k, &v[v_offset], ldv);
|
|
|
|
lastv = max(i__1,i__2);
|
|
|
|
lastc = iladlr_(m, &lastv, &c__[c_offset], ldc);
|
|
|
|
|
|
|
|
/* W := C * V = (C1*V1 + C2*V2) (stored in WORK) */
|
|
|
|
|
|
|
|
/* W := C2 */
|
|
|
|
|
|
|
|
i__1 = *k;
|
|
|
|
for (j = 1; j <= i__1; ++j) {
|
|
|
|
dcopy_(&lastc, &c__[(*n - *k + j) * c_dim1 + 1], &c__1, &
|
|
|
|
work[j * work_dim1 + 1], &c__1);
|
|
|
|
/* L100: */
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * V2 */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Upper", "No transpose", "Unit", &lastc, k, &
|
|
|
|
c_b14, &v[lastv - *k + 1 + v_dim1], ldv, &work[
|
|
|
|
work_offset], ldwork);
|
|
|
|
if (lastv > *k) {
|
|
|
|
|
|
|
|
/* W := W + C1 * V1 */
|
|
|
|
|
|
|
|
i__1 = lastv - *k;
|
|
|
|
dgemm_("No transpose", "No transpose", &lastc, k, &i__1, &
|
|
|
|
c_b14, &c__[c_offset], ldc, &v[v_offset], ldv, &
|
|
|
|
c_b14, &work[work_offset], ldwork);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * T or W * T' */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Lower", trans, "Non-unit", &lastc, k, &c_b14,
|
|
|
|
&t[t_offset], ldt, &work[work_offset], ldwork);
|
|
|
|
|
|
|
|
/* C := C - W * V' */
|
|
|
|
|
|
|
|
if (lastv > *k) {
|
|
|
|
|
|
|
|
/* C1 := C1 - W * V1' */
|
|
|
|
|
|
|
|
i__1 = lastv - *k;
|
|
|
|
dgemm_("No transpose", "Transpose", &lastc, &i__1, k, &
|
|
|
|
c_b25, &work[work_offset], ldwork, &v[v_offset],
|
|
|
|
ldv, &c_b14, &c__[c_offset], ldc);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * V2' */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Upper", "Transpose", "Unit", &lastc, k, &
|
|
|
|
c_b14, &v[lastv - *k + 1 + v_dim1], ldv, &work[
|
|
|
|
work_offset], ldwork);
|
|
|
|
|
|
|
|
/* C2 := C2 - W */
|
|
|
|
|
|
|
|
i__1 = *k;
|
|
|
|
for (j = 1; j <= i__1; ++j) {
|
|
|
|
i__2 = lastc;
|
|
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
|
|
c__[i__ + (lastv - *k + j) * c_dim1] -= work[i__ + j *
|
|
|
|
work_dim1];
|
|
|
|
/* L110: */
|
|
|
|
}
|
|
|
|
/* L120: */
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
} else if (lsame_(storev, "R")) {
|
|
|
|
|
|
|
|
if (lsame_(direct, "F")) {
|
|
|
|
|
|
|
|
/* Let V = ( V1 V2 ) (V1: first K columns) */
|
|
|
|
/* where V1 is unit upper triangular. */
|
|
|
|
|
|
|
|
if (lsame_(side, "L")) {
|
|
|
|
|
|
|
|
/* Form H * C or H' * C where C = ( C1 ) */
|
|
|
|
/* ( C2 ) */
|
|
|
|
|
|
|
|
/* Computing MAX */
|
|
|
|
i__1 = *k, i__2 = iladlc_(k, m, &v[v_offset], ldv);
|
|
|
|
lastv = max(i__1,i__2);
|
|
|
|
lastc = iladlc_(&lastv, n, &c__[c_offset], ldc);
|
|
|
|
|
|
|
|
/* W := C' * V' = (C1'*V1' + C2'*V2') (stored in WORK) */
|
|
|
|
|
|
|
|
/* W := C1' */
|
|
|
|
|
|
|
|
i__1 = *k;
|
|
|
|
for (j = 1; j <= i__1; ++j) {
|
|
|
|
dcopy_(&lastc, &c__[j + c_dim1], ldc, &work[j * work_dim1
|
|
|
|
+ 1], &c__1);
|
|
|
|
/* L130: */
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * V1' */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Upper", "Transpose", "Unit", &lastc, k, &
|
|
|
|
c_b14, &v[v_offset], ldv, &work[work_offset], ldwork);
|
|
|
|
if (lastv > *k) {
|
|
|
|
|
|
|
|
/* W := W + C2'*V2' */
|
|
|
|
|
|
|
|
i__1 = lastv - *k;
|
|
|
|
dgemm_("Transpose", "Transpose", &lastc, k, &i__1, &c_b14,
|
|
|
|
&c__[*k + 1 + c_dim1], ldc, &v[(*k + 1) * v_dim1
|
|
|
|
+ 1], ldv, &c_b14, &work[work_offset], ldwork);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * T' or W * T */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Upper", transt, "Non-unit", &lastc, k, &
|
|
|
|
c_b14, &t[t_offset], ldt, &work[work_offset], ldwork);
|
|
|
|
|
|
|
|
/* C := C - V' * W' */
|
|
|
|
|
|
|
|
if (lastv > *k) {
|
|
|
|
|
|
|
|
/* C2 := C2 - V2' * W' */
|
|
|
|
|
|
|
|
i__1 = lastv - *k;
|
|
|
|
dgemm_("Transpose", "Transpose", &i__1, &lastc, k, &c_b25,
|
|
|
|
&v[(*k + 1) * v_dim1 + 1], ldv, &work[
|
|
|
|
work_offset], ldwork, &c_b14, &c__[*k + 1 +
|
|
|
|
c_dim1], ldc);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * V1 */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Upper", "No transpose", "Unit", &lastc, k, &
|
|
|
|
c_b14, &v[v_offset], ldv, &work[work_offset], ldwork);
|
|
|
|
|
|
|
|
/* C1 := C1 - W' */
|
|
|
|
|
|
|
|
i__1 = *k;
|
|
|
|
for (j = 1; j <= i__1; ++j) {
|
|
|
|
i__2 = lastc;
|
|
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
|
|
c__[j + i__ * c_dim1] -= work[i__ + j * work_dim1];
|
|
|
|
/* L140: */
|
|
|
|
}
|
|
|
|
/* L150: */
|
|
|
|
}
|
|
|
|
|
|
|
|
} else if (lsame_(side, "R")) {
|
|
|
|
|
|
|
|
/* Form C * H or C * H' where C = ( C1 C2 ) */
|
|
|
|
|
|
|
|
/* Computing MAX */
|
|
|
|
i__1 = *k, i__2 = iladlc_(k, n, &v[v_offset], ldv);
|
|
|
|
lastv = max(i__1,i__2);
|
|
|
|
lastc = iladlr_(m, &lastv, &c__[c_offset], ldc);
|
|
|
|
|
|
|
|
/* W := C * V' = (C1*V1' + C2*V2') (stored in WORK) */
|
|
|
|
|
|
|
|
/* W := C1 */
|
|
|
|
|
|
|
|
i__1 = *k;
|
|
|
|
for (j = 1; j <= i__1; ++j) {
|
|
|
|
dcopy_(&lastc, &c__[j * c_dim1 + 1], &c__1, &work[j *
|
|
|
|
work_dim1 + 1], &c__1);
|
|
|
|
/* L160: */
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * V1' */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Upper", "Transpose", "Unit", &lastc, k, &
|
|
|
|
c_b14, &v[v_offset], ldv, &work[work_offset], ldwork);
|
|
|
|
if (lastv > *k) {
|
|
|
|
|
|
|
|
/* W := W + C2 * V2' */
|
|
|
|
|
|
|
|
i__1 = lastv - *k;
|
|
|
|
dgemm_("No transpose", "Transpose", &lastc, k, &i__1, &
|
|
|
|
c_b14, &c__[(*k + 1) * c_dim1 + 1], ldc, &v[(*k +
|
|
|
|
1) * v_dim1 + 1], ldv, &c_b14, &work[work_offset],
|
|
|
|
ldwork);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * T or W * T' */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Upper", trans, "Non-unit", &lastc, k, &c_b14,
|
|
|
|
&t[t_offset], ldt, &work[work_offset], ldwork);
|
|
|
|
|
|
|
|
/* C := C - W * V */
|
|
|
|
|
|
|
|
if (lastv > *k) {
|
|
|
|
|
|
|
|
/* C2 := C2 - W * V2 */
|
|
|
|
|
|
|
|
i__1 = lastv - *k;
|
|
|
|
dgemm_("No transpose", "No transpose", &lastc, &i__1, k, &
|
|
|
|
c_b25, &work[work_offset], ldwork, &v[(*k + 1) *
|
|
|
|
v_dim1 + 1], ldv, &c_b14, &c__[(*k + 1) * c_dim1
|
|
|
|
+ 1], ldc);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * V1 */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Upper", "No transpose", "Unit", &lastc, k, &
|
|
|
|
c_b14, &v[v_offset], ldv, &work[work_offset], ldwork);
|
|
|
|
|
|
|
|
/* C1 := C1 - W */
|
|
|
|
|
|
|
|
i__1 = *k;
|
|
|
|
for (j = 1; j <= i__1; ++j) {
|
|
|
|
i__2 = lastc;
|
|
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
|
|
c__[i__ + j * c_dim1] -= work[i__ + j * work_dim1];
|
|
|
|
/* L170: */
|
|
|
|
}
|
|
|
|
/* L180: */
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
} else {
|
|
|
|
|
|
|
|
/* Let V = ( V1 V2 ) (V2: last K columns) */
|
|
|
|
/* where V2 is unit lower triangular. */
|
|
|
|
|
|
|
|
if (lsame_(side, "L")) {
|
|
|
|
|
|
|
|
/* Form H * C or H' * C where C = ( C1 ) */
|
|
|
|
/* ( C2 ) */
|
|
|
|
|
|
|
|
/* Computing MAX */
|
|
|
|
i__1 = *k, i__2 = iladlc_(k, m, &v[v_offset], ldv);
|
|
|
|
lastv = max(i__1,i__2);
|
|
|
|
lastc = iladlc_(&lastv, n, &c__[c_offset], ldc);
|
|
|
|
|
|
|
|
/* W := C' * V' = (C1'*V1' + C2'*V2') (stored in WORK) */
|
|
|
|
|
|
|
|
/* W := C2' */
|
|
|
|
|
|
|
|
i__1 = *k;
|
|
|
|
for (j = 1; j <= i__1; ++j) {
|
|
|
|
dcopy_(&lastc, &c__[lastv - *k + j + c_dim1], ldc, &work[
|
|
|
|
j * work_dim1 + 1], &c__1);
|
|
|
|
/* L190: */
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * V2' */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Lower", "Transpose", "Unit", &lastc, k, &
|
|
|
|
c_b14, &v[(lastv - *k + 1) * v_dim1 + 1], ldv, &work[
|
|
|
|
work_offset], ldwork);
|
|
|
|
if (lastv > *k) {
|
|
|
|
|
|
|
|
/* W := W + C1'*V1' */
|
|
|
|
|
|
|
|
i__1 = lastv - *k;
|
|
|
|
dgemm_("Transpose", "Transpose", &lastc, k, &i__1, &c_b14,
|
|
|
|
&c__[c_offset], ldc, &v[v_offset], ldv, &c_b14, &
|
|
|
|
work[work_offset], ldwork);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * T' or W * T */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Lower", transt, "Non-unit", &lastc, k, &
|
|
|
|
c_b14, &t[t_offset], ldt, &work[work_offset], ldwork);
|
|
|
|
|
|
|
|
/* C := C - V' * W' */
|
|
|
|
|
|
|
|
if (lastv > *k) {
|
|
|
|
|
|
|
|
/* C1 := C1 - V1' * W' */
|
|
|
|
|
|
|
|
i__1 = lastv - *k;
|
|
|
|
dgemm_("Transpose", "Transpose", &i__1, &lastc, k, &c_b25,
|
|
|
|
&v[v_offset], ldv, &work[work_offset], ldwork, &
|
|
|
|
c_b14, &c__[c_offset], ldc);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * V2 */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Lower", "No transpose", "Unit", &lastc, k, &
|
|
|
|
c_b14, &v[(lastv - *k + 1) * v_dim1 + 1], ldv, &work[
|
|
|
|
work_offset], ldwork);
|
|
|
|
|
|
|
|
/* C2 := C2 - W' */
|
|
|
|
|
|
|
|
i__1 = *k;
|
|
|
|
for (j = 1; j <= i__1; ++j) {
|
|
|
|
i__2 = lastc;
|
|
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
|
|
c__[lastv - *k + j + i__ * c_dim1] -= work[i__ + j *
|
|
|
|
work_dim1];
|
|
|
|
/* L200: */
|
|
|
|
}
|
|
|
|
/* L210: */
|
|
|
|
}
|
|
|
|
|
|
|
|
} else if (lsame_(side, "R")) {
|
|
|
|
|
|
|
|
/* Form C * H or C * H' where C = ( C1 C2 ) */
|
|
|
|
|
|
|
|
/* Computing MAX */
|
|
|
|
i__1 = *k, i__2 = iladlc_(k, n, &v[v_offset], ldv);
|
|
|
|
lastv = max(i__1,i__2);
|
|
|
|
lastc = iladlr_(m, &lastv, &c__[c_offset], ldc);
|
|
|
|
|
|
|
|
/* W := C * V' = (C1*V1' + C2*V2') (stored in WORK) */
|
|
|
|
|
|
|
|
/* W := C2 */
|
|
|
|
|
|
|
|
i__1 = *k;
|
|
|
|
for (j = 1; j <= i__1; ++j) {
|
|
|
|
dcopy_(&lastc, &c__[(lastv - *k + j) * c_dim1 + 1], &c__1,
|
|
|
|
&work[j * work_dim1 + 1], &c__1);
|
|
|
|
/* L220: */
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * V2' */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Lower", "Transpose", "Unit", &lastc, k, &
|
|
|
|
c_b14, &v[(lastv - *k + 1) * v_dim1 + 1], ldv, &work[
|
|
|
|
work_offset], ldwork);
|
|
|
|
if (lastv > *k) {
|
|
|
|
|
|
|
|
/* W := W + C1 * V1' */
|
|
|
|
|
|
|
|
i__1 = lastv - *k;
|
|
|
|
dgemm_("No transpose", "Transpose", &lastc, k, &i__1, &
|
|
|
|
c_b14, &c__[c_offset], ldc, &v[v_offset], ldv, &
|
|
|
|
c_b14, &work[work_offset], ldwork);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * T or W * T' */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Lower", trans, "Non-unit", &lastc, k, &c_b14,
|
|
|
|
&t[t_offset], ldt, &work[work_offset], ldwork);
|
|
|
|
|
|
|
|
/* C := C - W * V */
|
|
|
|
|
|
|
|
if (lastv > *k) {
|
|
|
|
|
|
|
|
/* C1 := C1 - W * V1 */
|
|
|
|
|
|
|
|
i__1 = lastv - *k;
|
|
|
|
dgemm_("No transpose", "No transpose", &lastc, &i__1, k, &
|
|
|
|
c_b25, &work[work_offset], ldwork, &v[v_offset],
|
|
|
|
ldv, &c_b14, &c__[c_offset], ldc);
|
|
|
|
}
|
|
|
|
|
|
|
|
/* W := W * V2 */
|
|
|
|
|
|
|
|
dtrmm_("Right", "Lower", "No transpose", "Unit", &lastc, k, &
|
|
|
|
c_b14, &v[(lastv - *k + 1) * v_dim1 + 1], ldv, &work[
|
|
|
|
work_offset], ldwork);
|
|
|
|
|
|
|
|
/* C1 := C1 - W */
|
|
|
|
|
|
|
|
i__1 = *k;
|
|
|
|
for (j = 1; j <= i__1; ++j) {
|
|
|
|
i__2 = lastc;
|
|
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
|
|
c__[i__ + (lastv - *k + j) * c_dim1] -= work[i__ + j *
|
|
|
|
work_dim1];
|
|
|
|
/* L230: */
|
|
|
|
}
|
|
|
|
/* L240: */
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
return 0;
|
|
|
|
|
|
|
|
/* End of DLARFB */
|
|
|
|
|
|
|
|
} /* dlarfb_ */
|