695 lines
29 KiB
C++
695 lines
29 KiB
C++
/* fortran/zlasr.f -- translated by f2c (version 20200916).
|
|
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
|
|
*/
|
|
|
|
#ifdef __cplusplus
|
|
extern "C" {
|
|
#endif
|
|
#include "lmp_f2c.h"
|
|
|
|
/* > \brief \b ZLASR applies a sequence of plane rotations to a general rectangular matrix. */
|
|
|
|
/* =========== DOCUMENTATION =========== */
|
|
|
|
/* Online html documentation available at */
|
|
/* http://www.netlib.org/lapack/explore-html/ */
|
|
|
|
/* > \htmlonly */
|
|
/* > Download ZLASR + dependencies */
|
|
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlasr.f
|
|
"> */
|
|
/* > [TGZ]</a> */
|
|
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlasr.f
|
|
"> */
|
|
/* > [ZIP]</a> */
|
|
/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlasr.f
|
|
"> */
|
|
/* > [TXT]</a> */
|
|
/* > \endhtmlonly */
|
|
|
|
/* Definition: */
|
|
/* =========== */
|
|
|
|
/* SUBROUTINE ZLASR( SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA ) */
|
|
|
|
/* .. Scalar Arguments .. */
|
|
/* CHARACTER DIRECT, PIVOT, SIDE */
|
|
/* INTEGER LDA, M, N */
|
|
/* .. */
|
|
/* .. Array Arguments .. */
|
|
/* DOUBLE PRECISION C( * ), S( * ) */
|
|
/* COMPLEX*16 A( LDA, * ) */
|
|
/* .. */
|
|
|
|
|
|
/* > \par Purpose: */
|
|
/* ============= */
|
|
/* > */
|
|
/* > \verbatim */
|
|
/* > */
|
|
/* > ZLASR applies a sequence of real plane rotations to a complex matrix */
|
|
/* > A, from either the left or the right. */
|
|
/* > */
|
|
/* > When SIDE = 'L', the transformation takes the form */
|
|
/* > */
|
|
/* > A := P*A */
|
|
/* > */
|
|
/* > and when SIDE = 'R', the transformation takes the form */
|
|
/* > */
|
|
/* > A := A*P**T */
|
|
/* > */
|
|
/* > where P is an orthogonal matrix consisting of a sequence of z plane */
|
|
/* > rotations, with z = M when SIDE = 'L' and z = N when SIDE = 'R', */
|
|
/* > and P**T is the transpose of P. */
|
|
/* > */
|
|
/* > When DIRECT = 'F' (Forward sequence), then */
|
|
/* > */
|
|
/* > P = P(z-1) * ... * P(2) * P(1) */
|
|
/* > */
|
|
/* > and when DIRECT = 'B' (Backward sequence), then */
|
|
/* > */
|
|
/* > P = P(1) * P(2) * ... * P(z-1) */
|
|
/* > */
|
|
/* > where P(k) is a plane rotation matrix defined by the 2-by-2 rotation */
|
|
/* > */
|
|
/* > R(k) = ( c(k) s(k) ) */
|
|
/* > = ( -s(k) c(k) ). */
|
|
/* > */
|
|
/* > When PIVOT = 'V' (Variable pivot), the rotation is performed */
|
|
/* > for the plane (k,k+1), i.e., P(k) has the form */
|
|
/* > */
|
|
/* > P(k) = ( 1 ) */
|
|
/* > ( ... ) */
|
|
/* > ( 1 ) */
|
|
/* > ( c(k) s(k) ) */
|
|
/* > ( -s(k) c(k) ) */
|
|
/* > ( 1 ) */
|
|
/* > ( ... ) */
|
|
/* > ( 1 ) */
|
|
/* > */
|
|
/* > where R(k) appears as a rank-2 modification to the identity matrix in */
|
|
/* > rows and columns k and k+1. */
|
|
/* > */
|
|
/* > When PIVOT = 'T' (Top pivot), the rotation is performed for the */
|
|
/* > plane (1,k+1), so P(k) has the form */
|
|
/* > */
|
|
/* > P(k) = ( c(k) s(k) ) */
|
|
/* > ( 1 ) */
|
|
/* > ( ... ) */
|
|
/* > ( 1 ) */
|
|
/* > ( -s(k) c(k) ) */
|
|
/* > ( 1 ) */
|
|
/* > ( ... ) */
|
|
/* > ( 1 ) */
|
|
/* > */
|
|
/* > where R(k) appears in rows and columns 1 and k+1. */
|
|
/* > */
|
|
/* > Similarly, when PIVOT = 'B' (Bottom pivot), the rotation is */
|
|
/* > performed for the plane (k,z), giving P(k) the form */
|
|
/* > */
|
|
/* > P(k) = ( 1 ) */
|
|
/* > ( ... ) */
|
|
/* > ( 1 ) */
|
|
/* > ( c(k) s(k) ) */
|
|
/* > ( 1 ) */
|
|
/* > ( ... ) */
|
|
/* > ( 1 ) */
|
|
/* > ( -s(k) c(k) ) */
|
|
/* > */
|
|
/* > where R(k) appears in rows and columns k and z. The rotations are */
|
|
/* > performed without ever forming P(k) explicitly. */
|
|
/* > \endverbatim */
|
|
|
|
/* Arguments: */
|
|
/* ========== */
|
|
|
|
/* > \param[in] SIDE */
|
|
/* > \verbatim */
|
|
/* > SIDE is CHARACTER*1 */
|
|
/* > Specifies whether the plane rotation matrix P is applied to */
|
|
/* > A on the left or the right. */
|
|
/* > = 'L': Left, compute A := P*A */
|
|
/* > = 'R': Right, compute A:= A*P**T */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] PIVOT */
|
|
/* > \verbatim */
|
|
/* > PIVOT is CHARACTER*1 */
|
|
/* > Specifies the plane for which P(k) is a plane rotation */
|
|
/* > matrix. */
|
|
/* > = 'V': Variable pivot, the plane (k,k+1) */
|
|
/* > = 'T': Top pivot, the plane (1,k+1) */
|
|
/* > = 'B': Bottom pivot, the plane (k,z) */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] DIRECT */
|
|
/* > \verbatim */
|
|
/* > DIRECT is CHARACTER*1 */
|
|
/* > Specifies whether P is a forward or backward sequence of */
|
|
/* > plane rotations. */
|
|
/* > = 'F': Forward, P = P(z-1)*...*P(2)*P(1) */
|
|
/* > = 'B': Backward, P = P(1)*P(2)*...*P(z-1) */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] M */
|
|
/* > \verbatim */
|
|
/* > M is INTEGER */
|
|
/* > The number of rows of the matrix A. If m <= 1, an immediate */
|
|
/* > return is effected. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] N */
|
|
/* > \verbatim */
|
|
/* > N is INTEGER */
|
|
/* > The number of columns of the matrix A. If n <= 1, an */
|
|
/* > immediate return is effected. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] C */
|
|
/* > \verbatim */
|
|
/* > C is DOUBLE PRECISION array, dimension */
|
|
/* > (M-1) if SIDE = 'L' */
|
|
/* > (N-1) if SIDE = 'R' */
|
|
/* > The cosines c(k) of the plane rotations. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] S */
|
|
/* > \verbatim */
|
|
/* > S is DOUBLE PRECISION array, dimension */
|
|
/* > (M-1) if SIDE = 'L' */
|
|
/* > (N-1) if SIDE = 'R' */
|
|
/* > The sines s(k) of the plane rotations. The 2-by-2 plane */
|
|
/* > rotation part of the matrix P(k), R(k), has the form */
|
|
/* > R(k) = ( c(k) s(k) ) */
|
|
/* > ( -s(k) c(k) ). */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in,out] A */
|
|
/* > \verbatim */
|
|
/* > A is COMPLEX*16 array, dimension (LDA,N) */
|
|
/* > The M-by-N matrix A. On exit, A is overwritten by P*A if */
|
|
/* > SIDE = 'R' or by A*P**T if SIDE = 'L'. */
|
|
/* > \endverbatim */
|
|
/* > */
|
|
/* > \param[in] LDA */
|
|
/* > \verbatim */
|
|
/* > LDA is INTEGER */
|
|
/* > The leading dimension of the array A. LDA >= max(1,M). */
|
|
/* > \endverbatim */
|
|
|
|
/* Authors: */
|
|
/* ======== */
|
|
|
|
/* > \author Univ. of Tennessee */
|
|
/* > \author Univ. of California Berkeley */
|
|
/* > \author Univ. of Colorado Denver */
|
|
/* > \author NAG Ltd. */
|
|
|
|
/* > \ingroup complex16OTHERauxiliary */
|
|
|
|
/* ===================================================================== */
|
|
/* Subroutine */ int zlasr_(char *side, char *pivot, char *direct, integer *m,
|
|
integer *n, doublereal *c__, doublereal *s, doublecomplex *a,
|
|
integer *lda, ftnlen side_len, ftnlen pivot_len, ftnlen direct_len)
|
|
{
|
|
/* System generated locals */
|
|
integer a_dim1, a_offset, i__1, i__2, i__3, i__4;
|
|
doublecomplex z__1, z__2, z__3;
|
|
|
|
/* Local variables */
|
|
integer i__, j, info;
|
|
doublecomplex temp;
|
|
extern logical lsame_(char *, char *, ftnlen, ftnlen);
|
|
doublereal ctemp, stemp;
|
|
extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);
|
|
|
|
|
|
/* -- LAPACK auxiliary routine -- */
|
|
/* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
|
|
/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
|
|
|
|
/* .. Scalar Arguments .. */
|
|
/* .. */
|
|
/* .. Array Arguments .. */
|
|
/* .. */
|
|
|
|
/* ===================================================================== */
|
|
|
|
/* .. Parameters .. */
|
|
/* .. */
|
|
/* .. Local Scalars .. */
|
|
/* .. */
|
|
/* .. Intrinsic Functions .. */
|
|
/* .. */
|
|
/* .. External Functions .. */
|
|
/* .. */
|
|
/* .. External Subroutines .. */
|
|
/* .. */
|
|
/* .. Executable Statements .. */
|
|
|
|
/* Test the input parameters */
|
|
|
|
/* Parameter adjustments */
|
|
--c__;
|
|
--s;
|
|
a_dim1 = *lda;
|
|
a_offset = 1 + a_dim1;
|
|
a -= a_offset;
|
|
|
|
/* Function Body */
|
|
info = 0;
|
|
if (! (lsame_(side, (char *)"L", (ftnlen)1, (ftnlen)1) || lsame_(side, (char *)"R", (
|
|
ftnlen)1, (ftnlen)1))) {
|
|
info = 1;
|
|
} else if (! (lsame_(pivot, (char *)"V", (ftnlen)1, (ftnlen)1) || lsame_(pivot,
|
|
(char *)"T", (ftnlen)1, (ftnlen)1) || lsame_(pivot, (char *)"B", (ftnlen)1, (
|
|
ftnlen)1))) {
|
|
info = 2;
|
|
} else if (! (lsame_(direct, (char *)"F", (ftnlen)1, (ftnlen)1) || lsame_(direct,
|
|
(char *)"B", (ftnlen)1, (ftnlen)1))) {
|
|
info = 3;
|
|
} else if (*m < 0) {
|
|
info = 4;
|
|
} else if (*n < 0) {
|
|
info = 5;
|
|
} else if (*lda < max(1,*m)) {
|
|
info = 9;
|
|
}
|
|
if (info != 0) {
|
|
xerbla_((char *)"ZLASR ", &info, (ftnlen)6);
|
|
return 0;
|
|
}
|
|
|
|
/* Quick return if possible */
|
|
|
|
if (*m == 0 || *n == 0) {
|
|
return 0;
|
|
}
|
|
if (lsame_(side, (char *)"L", (ftnlen)1, (ftnlen)1)) {
|
|
|
|
/* Form P * A */
|
|
|
|
if (lsame_(pivot, (char *)"V", (ftnlen)1, (ftnlen)1)) {
|
|
if (lsame_(direct, (char *)"F", (ftnlen)1, (ftnlen)1)) {
|
|
i__1 = *m - 1;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
ctemp = c__[j];
|
|
stemp = s[j];
|
|
if (ctemp != 1. || stemp != 0.) {
|
|
i__2 = *n;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = j + 1 + i__ * a_dim1;
|
|
temp.r = a[i__3].r, temp.i = a[i__3].i;
|
|
i__3 = j + 1 + i__ * a_dim1;
|
|
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
|
|
i__4 = j + i__ * a_dim1;
|
|
z__3.r = stemp * a[i__4].r, z__3.i = stemp * a[
|
|
i__4].i;
|
|
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
|
|
z__3.i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
i__3 = j + i__ * a_dim1;
|
|
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
|
|
i__4 = j + i__ * a_dim1;
|
|
z__3.r = ctemp * a[i__4].r, z__3.i = ctemp * a[
|
|
i__4].i;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
|
|
z__3.i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
/* L10: */
|
|
}
|
|
}
|
|
/* L20: */
|
|
}
|
|
} else if (lsame_(direct, (char *)"B", (ftnlen)1, (ftnlen)1)) {
|
|
for (j = *m - 1; j >= 1; --j) {
|
|
ctemp = c__[j];
|
|
stemp = s[j];
|
|
if (ctemp != 1. || stemp != 0.) {
|
|
i__1 = *n;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
i__2 = j + 1 + i__ * a_dim1;
|
|
temp.r = a[i__2].r, temp.i = a[i__2].i;
|
|
i__2 = j + 1 + i__ * a_dim1;
|
|
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
|
|
i__3 = j + i__ * a_dim1;
|
|
z__3.r = stemp * a[i__3].r, z__3.i = stemp * a[
|
|
i__3].i;
|
|
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
|
|
z__3.i;
|
|
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
|
|
i__2 = j + i__ * a_dim1;
|
|
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
|
|
i__3 = j + i__ * a_dim1;
|
|
z__3.r = ctemp * a[i__3].r, z__3.i = ctemp * a[
|
|
i__3].i;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
|
|
z__3.i;
|
|
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
|
|
/* L30: */
|
|
}
|
|
}
|
|
/* L40: */
|
|
}
|
|
}
|
|
} else if (lsame_(pivot, (char *)"T", (ftnlen)1, (ftnlen)1)) {
|
|
if (lsame_(direct, (char *)"F", (ftnlen)1, (ftnlen)1)) {
|
|
i__1 = *m;
|
|
for (j = 2; j <= i__1; ++j) {
|
|
ctemp = c__[j - 1];
|
|
stemp = s[j - 1];
|
|
if (ctemp != 1. || stemp != 0.) {
|
|
i__2 = *n;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = j + i__ * a_dim1;
|
|
temp.r = a[i__3].r, temp.i = a[i__3].i;
|
|
i__3 = j + i__ * a_dim1;
|
|
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
|
|
i__4 = i__ * a_dim1 + 1;
|
|
z__3.r = stemp * a[i__4].r, z__3.i = stemp * a[
|
|
i__4].i;
|
|
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
|
|
z__3.i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
i__3 = i__ * a_dim1 + 1;
|
|
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
|
|
i__4 = i__ * a_dim1 + 1;
|
|
z__3.r = ctemp * a[i__4].r, z__3.i = ctemp * a[
|
|
i__4].i;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
|
|
z__3.i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
/* L50: */
|
|
}
|
|
}
|
|
/* L60: */
|
|
}
|
|
} else if (lsame_(direct, (char *)"B", (ftnlen)1, (ftnlen)1)) {
|
|
for (j = *m; j >= 2; --j) {
|
|
ctemp = c__[j - 1];
|
|
stemp = s[j - 1];
|
|
if (ctemp != 1. || stemp != 0.) {
|
|
i__1 = *n;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
i__2 = j + i__ * a_dim1;
|
|
temp.r = a[i__2].r, temp.i = a[i__2].i;
|
|
i__2 = j + i__ * a_dim1;
|
|
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
|
|
i__3 = i__ * a_dim1 + 1;
|
|
z__3.r = stemp * a[i__3].r, z__3.i = stemp * a[
|
|
i__3].i;
|
|
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
|
|
z__3.i;
|
|
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
|
|
i__2 = i__ * a_dim1 + 1;
|
|
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
|
|
i__3 = i__ * a_dim1 + 1;
|
|
z__3.r = ctemp * a[i__3].r, z__3.i = ctemp * a[
|
|
i__3].i;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
|
|
z__3.i;
|
|
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
|
|
/* L70: */
|
|
}
|
|
}
|
|
/* L80: */
|
|
}
|
|
}
|
|
} else if (lsame_(pivot, (char *)"B", (ftnlen)1, (ftnlen)1)) {
|
|
if (lsame_(direct, (char *)"F", (ftnlen)1, (ftnlen)1)) {
|
|
i__1 = *m - 1;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
ctemp = c__[j];
|
|
stemp = s[j];
|
|
if (ctemp != 1. || stemp != 0.) {
|
|
i__2 = *n;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = j + i__ * a_dim1;
|
|
temp.r = a[i__3].r, temp.i = a[i__3].i;
|
|
i__3 = j + i__ * a_dim1;
|
|
i__4 = *m + i__ * a_dim1;
|
|
z__2.r = stemp * a[i__4].r, z__2.i = stemp * a[
|
|
i__4].i;
|
|
z__3.r = ctemp * temp.r, z__3.i = ctemp * temp.i;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
|
|
z__3.i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
i__3 = *m + i__ * a_dim1;
|
|
i__4 = *m + i__ * a_dim1;
|
|
z__2.r = ctemp * a[i__4].r, z__2.i = ctemp * a[
|
|
i__4].i;
|
|
z__3.r = stemp * temp.r, z__3.i = stemp * temp.i;
|
|
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
|
|
z__3.i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
/* L90: */
|
|
}
|
|
}
|
|
/* L100: */
|
|
}
|
|
} else if (lsame_(direct, (char *)"B", (ftnlen)1, (ftnlen)1)) {
|
|
for (j = *m - 1; j >= 1; --j) {
|
|
ctemp = c__[j];
|
|
stemp = s[j];
|
|
if (ctemp != 1. || stemp != 0.) {
|
|
i__1 = *n;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
i__2 = j + i__ * a_dim1;
|
|
temp.r = a[i__2].r, temp.i = a[i__2].i;
|
|
i__2 = j + i__ * a_dim1;
|
|
i__3 = *m + i__ * a_dim1;
|
|
z__2.r = stemp * a[i__3].r, z__2.i = stemp * a[
|
|
i__3].i;
|
|
z__3.r = ctemp * temp.r, z__3.i = ctemp * temp.i;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
|
|
z__3.i;
|
|
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
|
|
i__2 = *m + i__ * a_dim1;
|
|
i__3 = *m + i__ * a_dim1;
|
|
z__2.r = ctemp * a[i__3].r, z__2.i = ctemp * a[
|
|
i__3].i;
|
|
z__3.r = stemp * temp.r, z__3.i = stemp * temp.i;
|
|
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
|
|
z__3.i;
|
|
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
|
|
/* L110: */
|
|
}
|
|
}
|
|
/* L120: */
|
|
}
|
|
}
|
|
}
|
|
} else if (lsame_(side, (char *)"R", (ftnlen)1, (ftnlen)1)) {
|
|
|
|
/* Form A * P**T */
|
|
|
|
if (lsame_(pivot, (char *)"V", (ftnlen)1, (ftnlen)1)) {
|
|
if (lsame_(direct, (char *)"F", (ftnlen)1, (ftnlen)1)) {
|
|
i__1 = *n - 1;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
ctemp = c__[j];
|
|
stemp = s[j];
|
|
if (ctemp != 1. || stemp != 0.) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + (j + 1) * a_dim1;
|
|
temp.r = a[i__3].r, temp.i = a[i__3].i;
|
|
i__3 = i__ + (j + 1) * a_dim1;
|
|
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
|
|
i__4 = i__ + j * a_dim1;
|
|
z__3.r = stemp * a[i__4].r, z__3.i = stemp * a[
|
|
i__4].i;
|
|
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
|
|
z__3.i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
i__3 = i__ + j * a_dim1;
|
|
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
|
|
i__4 = i__ + j * a_dim1;
|
|
z__3.r = ctemp * a[i__4].r, z__3.i = ctemp * a[
|
|
i__4].i;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
|
|
z__3.i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
/* L130: */
|
|
}
|
|
}
|
|
/* L140: */
|
|
}
|
|
} else if (lsame_(direct, (char *)"B", (ftnlen)1, (ftnlen)1)) {
|
|
for (j = *n - 1; j >= 1; --j) {
|
|
ctemp = c__[j];
|
|
stemp = s[j];
|
|
if (ctemp != 1. || stemp != 0.) {
|
|
i__1 = *m;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
i__2 = i__ + (j + 1) * a_dim1;
|
|
temp.r = a[i__2].r, temp.i = a[i__2].i;
|
|
i__2 = i__ + (j + 1) * a_dim1;
|
|
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
|
|
i__3 = i__ + j * a_dim1;
|
|
z__3.r = stemp * a[i__3].r, z__3.i = stemp * a[
|
|
i__3].i;
|
|
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
|
|
z__3.i;
|
|
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
|
|
i__2 = i__ + j * a_dim1;
|
|
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
|
|
i__3 = i__ + j * a_dim1;
|
|
z__3.r = ctemp * a[i__3].r, z__3.i = ctemp * a[
|
|
i__3].i;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
|
|
z__3.i;
|
|
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
|
|
/* L150: */
|
|
}
|
|
}
|
|
/* L160: */
|
|
}
|
|
}
|
|
} else if (lsame_(pivot, (char *)"T", (ftnlen)1, (ftnlen)1)) {
|
|
if (lsame_(direct, (char *)"F", (ftnlen)1, (ftnlen)1)) {
|
|
i__1 = *n;
|
|
for (j = 2; j <= i__1; ++j) {
|
|
ctemp = c__[j - 1];
|
|
stemp = s[j - 1];
|
|
if (ctemp != 1. || stemp != 0.) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * a_dim1;
|
|
temp.r = a[i__3].r, temp.i = a[i__3].i;
|
|
i__3 = i__ + j * a_dim1;
|
|
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
|
|
i__4 = i__ + a_dim1;
|
|
z__3.r = stemp * a[i__4].r, z__3.i = stemp * a[
|
|
i__4].i;
|
|
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
|
|
z__3.i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
i__3 = i__ + a_dim1;
|
|
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
|
|
i__4 = i__ + a_dim1;
|
|
z__3.r = ctemp * a[i__4].r, z__3.i = ctemp * a[
|
|
i__4].i;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
|
|
z__3.i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
/* L170: */
|
|
}
|
|
}
|
|
/* L180: */
|
|
}
|
|
} else if (lsame_(direct, (char *)"B", (ftnlen)1, (ftnlen)1)) {
|
|
for (j = *n; j >= 2; --j) {
|
|
ctemp = c__[j - 1];
|
|
stemp = s[j - 1];
|
|
if (ctemp != 1. || stemp != 0.) {
|
|
i__1 = *m;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
i__2 = i__ + j * a_dim1;
|
|
temp.r = a[i__2].r, temp.i = a[i__2].i;
|
|
i__2 = i__ + j * a_dim1;
|
|
z__2.r = ctemp * temp.r, z__2.i = ctemp * temp.i;
|
|
i__3 = i__ + a_dim1;
|
|
z__3.r = stemp * a[i__3].r, z__3.i = stemp * a[
|
|
i__3].i;
|
|
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
|
|
z__3.i;
|
|
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
|
|
i__2 = i__ + a_dim1;
|
|
z__2.r = stemp * temp.r, z__2.i = stemp * temp.i;
|
|
i__3 = i__ + a_dim1;
|
|
z__3.r = ctemp * a[i__3].r, z__3.i = ctemp * a[
|
|
i__3].i;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
|
|
z__3.i;
|
|
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
|
|
/* L190: */
|
|
}
|
|
}
|
|
/* L200: */
|
|
}
|
|
}
|
|
} else if (lsame_(pivot, (char *)"B", (ftnlen)1, (ftnlen)1)) {
|
|
if (lsame_(direct, (char *)"F", (ftnlen)1, (ftnlen)1)) {
|
|
i__1 = *n - 1;
|
|
for (j = 1; j <= i__1; ++j) {
|
|
ctemp = c__[j];
|
|
stemp = s[j];
|
|
if (ctemp != 1. || stemp != 0.) {
|
|
i__2 = *m;
|
|
for (i__ = 1; i__ <= i__2; ++i__) {
|
|
i__3 = i__ + j * a_dim1;
|
|
temp.r = a[i__3].r, temp.i = a[i__3].i;
|
|
i__3 = i__ + j * a_dim1;
|
|
i__4 = i__ + *n * a_dim1;
|
|
z__2.r = stemp * a[i__4].r, z__2.i = stemp * a[
|
|
i__4].i;
|
|
z__3.r = ctemp * temp.r, z__3.i = ctemp * temp.i;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
|
|
z__3.i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
i__3 = i__ + *n * a_dim1;
|
|
i__4 = i__ + *n * a_dim1;
|
|
z__2.r = ctemp * a[i__4].r, z__2.i = ctemp * a[
|
|
i__4].i;
|
|
z__3.r = stemp * temp.r, z__3.i = stemp * temp.i;
|
|
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
|
|
z__3.i;
|
|
a[i__3].r = z__1.r, a[i__3].i = z__1.i;
|
|
/* L210: */
|
|
}
|
|
}
|
|
/* L220: */
|
|
}
|
|
} else if (lsame_(direct, (char *)"B", (ftnlen)1, (ftnlen)1)) {
|
|
for (j = *n - 1; j >= 1; --j) {
|
|
ctemp = c__[j];
|
|
stemp = s[j];
|
|
if (ctemp != 1. || stemp != 0.) {
|
|
i__1 = *m;
|
|
for (i__ = 1; i__ <= i__1; ++i__) {
|
|
i__2 = i__ + j * a_dim1;
|
|
temp.r = a[i__2].r, temp.i = a[i__2].i;
|
|
i__2 = i__ + j * a_dim1;
|
|
i__3 = i__ + *n * a_dim1;
|
|
z__2.r = stemp * a[i__3].r, z__2.i = stemp * a[
|
|
i__3].i;
|
|
z__3.r = ctemp * temp.r, z__3.i = ctemp * temp.i;
|
|
z__1.r = z__2.r + z__3.r, z__1.i = z__2.i +
|
|
z__3.i;
|
|
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
|
|
i__2 = i__ + *n * a_dim1;
|
|
i__3 = i__ + *n * a_dim1;
|
|
z__2.r = ctemp * a[i__3].r, z__2.i = ctemp * a[
|
|
i__3].i;
|
|
z__3.r = stemp * temp.r, z__3.i = stemp * temp.i;
|
|
z__1.r = z__2.r - z__3.r, z__1.i = z__2.i -
|
|
z__3.i;
|
|
a[i__2].r = z__1.r, a[i__2].i = z__1.i;
|
|
/* L230: */
|
|
}
|
|
}
|
|
/* L240: */
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
return 0;
|
|
|
|
/* End of ZLASR */
|
|
|
|
} /* zlasr_ */
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|