160 lines
4.5 KiB
C
160 lines
4.5 KiB
C
/* -- translated by f2c (version 19940927).
|
|
You must link the resulting object file with the libraries:
|
|
-lf2c -lm (in that order)
|
|
*/
|
|
|
|
#include "f2c.h"
|
|
|
|
/* Table of constant values */
|
|
|
|
static complex c_b1 = {0.f,0.f};
|
|
static complex c_b2 = {1.f,0.f};
|
|
static integer c__3 = 3;
|
|
static integer c__1 = 1;
|
|
|
|
/* Subroutine */ int clarge_(integer *n, complex *a, integer *lda, integer *
|
|
iseed, complex *work, integer *info)
|
|
{
|
|
/* System generated locals */
|
|
integer a_dim1, a_offset, i__1;
|
|
doublereal d__1;
|
|
complex q__1;
|
|
|
|
/* Builtin functions */
|
|
double c_abs(complex *);
|
|
void c_div(complex *, complex *, complex *);
|
|
|
|
/* Local variables */
|
|
static integer i;
|
|
extern /* Subroutine */ int cgerc_(integer *, integer *, complex *,
|
|
complex *, integer *, complex *, integer *, complex *, integer *),
|
|
cscal_(integer *, complex *, complex *, integer *), cgemv_(char *
|
|
, integer *, integer *, complex *, complex *, integer *, complex *
|
|
, integer *, complex *, complex *, integer *);
|
|
extern real scnrm2_(integer *, complex *, integer *);
|
|
static complex wa, wb;
|
|
static real wn;
|
|
extern /* Subroutine */ int xerbla_(char *, integer *), clarnv_(
|
|
integer *, integer *, integer *, complex *);
|
|
static complex tau;
|
|
|
|
|
|
/* -- LAPACK auxiliary test routine (version 2.0) --
|
|
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
|
|
Courant Institute, Argonne National Lab, and Rice University
|
|
September 30, 1994
|
|
|
|
|
|
Purpose
|
|
=======
|
|
|
|
CLARGE pre- and post-multiplies a complex general n by n matrix A
|
|
with a random unitary matrix: A = U*D*U'.
|
|
|
|
Arguments
|
|
=========
|
|
|
|
N (input) INTEGER
|
|
The order of the matrix A. N >= 0.
|
|
|
|
A (input/output) COMPLEX array, dimension (LDA,N)
|
|
On entry, the original n by n matrix A.
|
|
On exit, A is overwritten by U*A*U' for some random
|
|
unitary matrix U.
|
|
|
|
LDA (input) INTEGER
|
|
The leading dimension of the array A. LDA >= N.
|
|
|
|
ISEED (input/output) INTEGER array, dimension (4)
|
|
On entry, the seed of the random number generator; the array
|
|
|
|
elements must be between 0 and 4095, and ISEED(4) must be
|
|
odd.
|
|
On exit, the seed is updated.
|
|
|
|
WORK (workspace) COMPLEX array, dimension (2*N)
|
|
|
|
INFO (output) INTEGER
|
|
= 0: successful exit
|
|
< 0: if INFO = -i, the i-th argument had an illegal value
|
|
|
|
=====================================================================
|
|
|
|
|
|
|
|
Test the input arguments
|
|
|
|
Parameter adjustments */
|
|
a_dim1 = *lda;
|
|
a_offset = a_dim1 + 1;
|
|
a -= a_offset;
|
|
--iseed;
|
|
--work;
|
|
|
|
/* Function Body */
|
|
*info = 0;
|
|
if (*n < 0) {
|
|
*info = -1;
|
|
} else if (*lda < max(1,*n)) {
|
|
*info = -3;
|
|
}
|
|
if (*info < 0) {
|
|
i__1 = -(*info);
|
|
xerbla_("CLARGE", &i__1);
|
|
return 0;
|
|
}
|
|
|
|
/* pre- and post-multiply A by random unitary matrix */
|
|
|
|
for (i = *n; i >= 1; --i) {
|
|
|
|
/* generate random reflection */
|
|
|
|
i__1 = *n - i + 1;
|
|
clarnv_(&c__3, &iseed[1], &i__1, &work[1]);
|
|
i__1 = *n - i + 1;
|
|
wn = scnrm2_(&i__1, &work[1], &c__1);
|
|
d__1 = wn / c_abs(&work[1]);
|
|
q__1.r = d__1 * work[1].r, q__1.i = d__1 * work[1].i;
|
|
wa.r = q__1.r, wa.i = q__1.i;
|
|
if (wn == 0.f) {
|
|
tau.r = 0.f, tau.i = 0.f;
|
|
} else {
|
|
q__1.r = work[1].r + wa.r, q__1.i = work[1].i + wa.i;
|
|
wb.r = q__1.r, wb.i = q__1.i;
|
|
i__1 = *n - i;
|
|
c_div(&q__1, &c_b2, &wb);
|
|
cscal_(&i__1, &q__1, &work[2], &c__1);
|
|
work[1].r = 1.f, work[1].i = 0.f;
|
|
c_div(&q__1, &wb, &wa);
|
|
d__1 = q__1.r;
|
|
tau.r = d__1, tau.i = 0.f;
|
|
}
|
|
|
|
/* multiply A(i:n,1:n) by random reflection from the left */
|
|
|
|
i__1 = *n - i + 1;
|
|
cgemv_("Conjugate transpose", &i__1, n, &c_b2, &a[i + a_dim1], lda, &
|
|
work[1], &c__1, &c_b1, &work[*n + 1], &c__1);
|
|
i__1 = *n - i + 1;
|
|
q__1.r = -(doublereal)tau.r, q__1.i = -(doublereal)tau.i;
|
|
cgerc_(&i__1, n, &q__1, &work[1], &c__1, &work[*n + 1], &c__1, &a[i +
|
|
a_dim1], lda);
|
|
|
|
/* multiply A(1:n,i:n) by random reflection from the right */
|
|
|
|
i__1 = *n - i + 1;
|
|
cgemv_("No transpose", n, &i__1, &c_b2, &a[i * a_dim1 + 1], lda, &
|
|
work[1], &c__1, &c_b1, &work[*n + 1], &c__1);
|
|
i__1 = *n - i + 1;
|
|
q__1.r = -(doublereal)tau.r, q__1.i = -(doublereal)tau.i;
|
|
cgerc_(n, &i__1, &q__1, &work[*n + 1], &c__1, &work[1], &c__1, &a[i *
|
|
a_dim1 + 1], lda);
|
|
/* L10: */
|
|
}
|
|
return 0;
|
|
|
|
/* End of CLARGE */
|
|
|
|
} /* clarge_ */
|
|
|