/* csyrk.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"
/* Subroutine */ int csyrk_(char *uplo, char *trans, integer *n, integer *k,
complex *alpha, complex *a, integer *lda, complex *beta, complex *c__,
integer *ldc)
{
/* System generated locals */
integer a_dim1, a_offset, c_dim1, c_offset, i__1, i__2, i__3, i__4, i__5,
i__6;
complex q__1, q__2, q__3;
/* Local variables */
integer i__, j, l, info;
complex temp;
extern logical lsame_(char *, char *);
integer nrowa;
logical upper;
extern /* Subroutine */ int xerbla_(char *, integer *);
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* CSYRK performs one of the symmetric rank k operations */
/* C := alpha*A*A' + beta*C, */
/* or */
/* C := alpha*A'*A + beta*C, */
/* where alpha and beta are scalars, C is an n by n symmetric matrix */
/* and A is an n by k matrix in the first case and a k by n matrix */
/* in the second case. */
/* Arguments */
/* ========== */
/* UPLO - CHARACTER*1. */
/* On entry, UPLO specifies whether the upper or lower */
/* triangular part of the array C is to be referenced as */
/* follows: */
/* UPLO = 'U' or 'u' Only the upper triangular part of C */
/* is to be referenced. */
/* UPLO = 'L' or 'l' Only the lower triangular part of C */
/* is to be referenced. */
/* Unchanged on exit. */
/* TRANS - CHARACTER*1. */
/* On entry, TRANS specifies the operation to be performed as */
/* follows: */
/* TRANS = 'N' or 'n' C := alpha*A*A' + beta*C. */
/* TRANS = 'T' or 't' C := alpha*A'*A + beta*C. */
/* Unchanged on exit. */
/* N - INTEGER. */
/* On entry, N specifies the order of the matrix C. N must be */
/* at least zero. */
/* Unchanged on exit. */
/* K - INTEGER. */
/* On entry with TRANS = 'N' or 'n', K specifies the number */
/* of columns of the matrix A, and on entry with */
/* TRANS = 'T' or 't', K specifies the number of rows of the */
/* matrix A. K must be at least zero. */
/* Unchanged on exit. */
/* ALPHA - COMPLEX . */
/* On entry, ALPHA specifies the scalar alpha. */
/* Unchanged on exit. */
/* A - COMPLEX array of DIMENSION ( LDA, ka ), where ka is */
/* k when TRANS = 'N' or 'n', and is n otherwise. */
/* Before entry with TRANS = 'N' or 'n', the leading n by k */
/* part of the array A must contain the matrix A, otherwise */
/* the leading k by n part of the array A must contain the */
/* matrix A. */
/* Unchanged on exit. */
/* LDA - INTEGER. */
/* On entry, LDA specifies the first dimension of A as declared */
/* in the calling (sub) program. When TRANS = 'N' or 'n' */
/* then LDA must be at least max( 1, n ), otherwise LDA must */
/* be at least max( 1, k ). */
/* Unchanged on exit. */
/* BETA - COMPLEX . */
/* On entry, BETA specifies the scalar beta. */
/* Unchanged on exit. */
/* C - COMPLEX array of DIMENSION ( LDC, n ). */
/* Before entry with UPLO = 'U' or 'u', the leading n by n */
/* upper triangular part of the array C must contain the upper */
/* triangular part of the symmetric matrix and the strictly */
/* lower triangular part of C is not referenced. On exit, the */
/* upper triangular part of the array C is overwritten by the */
/* upper triangular part of the updated matrix. */
/* Before entry with UPLO = 'L' or 'l', the leading n by n */
/* lower triangular part of the array C must contain the lower */
/* triangular part of the symmetric matrix and the strictly */
/* upper triangular part of C is not referenced. On exit, the */
/* lower triangular part of the array C is overwritten by the */
/* lower triangular part of the updated matrix. */
/* LDC - INTEGER. */
/* On entry, LDC specifies the first dimension of C as declared */
/* in the calling (sub) program. LDC must be at least */
/* max( 1, n ). */
/* Unchanged on exit. */
/* Level 3 Blas routine. */
/* -- Written on 8-February-1989. */
/* Jack Dongarra, Argonne National Laboratory. */
/* Iain Duff, AERE Harwell. */
/* Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* Sven Hammarling, Numerical Algorithms Group Ltd. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Intrinsic Functions .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. Parameters .. */
/* .. */
/* Test the input parameters. */
/* Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
c_dim1 = *ldc;
c_offset = 1 + c_dim1;
c__ -= c_offset;
/* Function Body */
if (lsame_(trans, "N")) {
nrowa = *n;
} else {
nrowa = *k;
}
upper = lsame_(uplo, "U");
info = 0;
if (! upper && ! lsame_(uplo, "L")) {
info = 1;
} else if (! lsame_(trans, "N") && ! lsame_(trans,
"T")) {
info = 2;
} else if (*n < 0) {
info = 3;
} else if (*k < 0) {
info = 4;
} else if (*lda < max(1,nrowa)) {
info = 7;
} else if (*ldc < max(1,*n)) {
info = 10;
}
if (info != 0) {
xerbla_("CSYRK ", &info);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || (alpha->r == 0.f && alpha->i == 0.f || *k == 0) && (
beta->r == 1.f && beta->i == 0.f)) {
return 0;
}
/* And when alpha.eq.zero. */
if (alpha->r == 0.f && alpha->i == 0.f) {
if (upper) {
if (beta->r == 0.f && beta->i == 0.f) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * c_dim1;
c__[i__3].r = 0.f, c__[i__3].i = 0.f;
/* L10: */
}
/* L20: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * c_dim1;
i__4 = i__ + j * c_dim1;
q__1.r = beta->r * c__[i__4].r - beta->i * c__[i__4]
.i, q__1.i = beta->r * c__[i__4].i + beta->i *
c__[i__4].r;
c__[i__3].r = q__1.r, c__[i__3].i = q__1.i;
/* L30: */
}
/* L40: */
}
}
} else {
if (beta->r == 0.f && beta->i == 0.f) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
i__3 = i__ + j * c_dim1;
c__[i__3].r = 0.f, c__[i__3].i = 0.f;
/* L50: */
}
/* L60: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
i__3 = i__ + j * c_dim1;
i__4 = i__ + j * c_dim1;
q__1.r = beta->r * c__[i__4].r - beta->i * c__[i__4]
.i, q__1.i = beta->r * c__[i__4].i + beta->i *
c__[i__4].r;
c__[i__3].r = q__1.r, c__[i__3].i = q__1.i;
/* L70: */
}
/* L80: */
}
}
}
return 0;
}
/* Start the operations. */
if (lsame_(trans, "N")) {
/* Form C := alpha*A*A' + beta*C. */
if (upper) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (beta->r == 0.f && beta->i == 0.f) {
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * c_dim1;
c__[i__3].r = 0.f, c__[i__3].i = 0.f;
/* L90: */
}
} else if (beta->r != 1.f || beta->i != 0.f) {
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * c_dim1;
i__4 = i__ + j * c_dim1;
q__1.r = beta->r * c__[i__4].r - beta->i * c__[i__4]
.i, q__1.i = beta->r * c__[i__4].i + beta->i *
c__[i__4].r;
c__[i__3].r = q__1.r, c__[i__3].i = q__1.i;
/* L100: */
}
}
i__2 = *k;
for (l = 1; l <= i__2; ++l) {
i__3 = j + l * a_dim1;
if (a[i__3].r != 0.f || a[i__3].i != 0.f) {
i__3 = j + l * a_dim1;
q__1.r = alpha->r * a[i__3].r - alpha->i * a[i__3].i,
q__1.i = alpha->r * a[i__3].i + alpha->i * a[
i__3].r;
temp.r = q__1.r, temp.i = q__1.i;
i__3 = j;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = i__ + j * c_dim1;
i__5 = i__ + j * c_dim1;
i__6 = i__ + l * a_dim1;
q__2.r = temp.r * a[i__6].r - temp.i * a[i__6].i,
q__2.i = temp.r * a[i__6].i + temp.i * a[
i__6].r;
q__1.r = c__[i__5].r + q__2.r, q__1.i = c__[i__5]
.i + q__2.i;
c__[i__4].r = q__1.r, c__[i__4].i = q__1.i;
/* L110: */
}
}
/* L120: */
}
/* L130: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
if (beta->r == 0.f && beta->i == 0.f) {
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
i__3 = i__ + j * c_dim1;
c__[i__3].r = 0.f, c__[i__3].i = 0.f;
/* L140: */
}
} else if (beta->r != 1.f || beta->i != 0.f) {
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
i__3 = i__ + j * c_dim1;
i__4 = i__ + j * c_dim1;
q__1.r = beta->r * c__[i__4].r - beta->i * c__[i__4]
.i, q__1.i = beta->r * c__[i__4].i + beta->i *
c__[i__4].r;
c__[i__3].r = q__1.r, c__[i__3].i = q__1.i;
/* L150: */
}
}
i__2 = *k;
for (l = 1; l <= i__2; ++l) {
i__3 = j + l * a_dim1;
if (a[i__3].r != 0.f || a[i__3].i != 0.f) {
i__3 = j + l * a_dim1;
q__1.r = alpha->r * a[i__3].r - alpha->i * a[i__3].i,
q__1.i = alpha->r * a[i__3].i + alpha->i * a[
i__3].r;
temp.r = q__1.r, temp.i = q__1.i;
i__3 = *n;
for (i__ = j; i__ <= i__3; ++i__) {
i__4 = i__ + j * c_dim1;
i__5 = i__ + j * c_dim1;
i__6 = i__ + l * a_dim1;
q__2.r = temp.r * a[i__6].r - temp.i * a[i__6].i,
q__2.i = temp.r * a[i__6].i + temp.i * a[
i__6].r;
q__1.r = c__[i__5].r + q__2.r, q__1.i = c__[i__5]
.i + q__2.i;
c__[i__4].r = q__1.r, c__[i__4].i = q__1.i;
/* L160: */
}
}
/* L170: */
}
/* L180: */
}
}
} else {
/* Form C := alpha*A'*A + beta*C. */
if (upper) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
for (i__ = 1; i__ <= i__2; ++i__) {
temp.r = 0.f, temp.i = 0.f;
i__3 = *k;
for (l = 1; l <= i__3; ++l) {
i__4 = l + i__ * a_dim1;
i__5 = l + j * a_dim1;
q__2.r = a[i__4].r * a[i__5].r - a[i__4].i * a[i__5]
.i, q__2.i = a[i__4].r * a[i__5].i + a[i__4]
.i * a[i__5].r;
q__1.r = temp.r + q__2.r, q__1.i = temp.i + q__2.i;
temp.r = q__1.r, temp.i = q__1.i;
/* L190: */
}
if (beta->r == 0.f && beta->i == 0.f) {
i__3 = i__ + j * c_dim1;
q__1.r = alpha->r * temp.r - alpha->i * temp.i,
q__1.i = alpha->r * temp.i + alpha->i *
temp.r;
c__[i__3].r = q__1.r, c__[i__3].i = q__1.i;
} else {
i__3 = i__ + j * c_dim1;
q__2.r = alpha->r * temp.r - alpha->i * temp.i,
q__2.i = alpha->r * temp.i + alpha->i *
temp.r;
i__4 = i__ + j * c_dim1;
q__3.r = beta->r * c__[i__4].r - beta->i * c__[i__4]
.i, q__3.i = beta->r * c__[i__4].i + beta->i *
c__[i__4].r;
q__1.r = q__2.r + q__3.r, q__1.i = q__2.i + q__3.i;
c__[i__3].r = q__1.r, c__[i__3].i = q__1.i;
}
/* L200: */
}
/* L210: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *n;
for (i__ = j; i__ <= i__2; ++i__) {
temp.r = 0.f, temp.i = 0.f;
i__3 = *k;
for (l = 1; l <= i__3; ++l) {
i__4 = l + i__ * a_dim1;
i__5 = l + j * a_dim1;
q__2.r = a[i__4].r * a[i__5].r - a[i__4].i * a[i__5]
.i, q__2.i = a[i__4].r * a[i__5].i + a[i__4]
.i * a[i__5].r;
q__1.r = temp.r + q__2.r, q__1.i = temp.i + q__2.i;
temp.r = q__1.r, temp.i = q__1.i;
/* L220: */
}
if (beta->r == 0.f && beta->i == 0.f) {
i__3 = i__ + j * c_dim1;
q__1.r = alpha->r * temp.r - alpha->i * temp.i,
q__1.i = alpha->r * temp.i + alpha->i *
temp.r;
c__[i__3].r = q__1.r, c__[i__3].i = q__1.i;
} else {
i__3 = i__ + j * c_dim1;
q__2.r = alpha->r * temp.r - alpha->i * temp.i,
q__2.i = alpha->r * temp.i + alpha->i *
temp.r;
i__4 = i__ + j * c_dim1;
q__3.r = beta->r * c__[i__4].r - beta->i * c__[i__4]
.i, q__3.i = beta->r * c__[i__4].i + beta->i *
c__[i__4].r;
q__1.r = q__2.r + q__3.r, q__1.i = q__2.i + q__3.i;
c__[i__3].r = q__1.r, c__[i__3].i = q__1.i;
}
/* L230: */
}
/* L240: */
}
}
}
return 0;
/* End of CSYRK . */
} /* csyrk_ */
