/* ctrmm.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 ctrmm_(char *side, char *uplo, char *transa, char *diag,
integer *m, integer *n, complex *alpha, complex *a, integer *lda,
complex *b, integer *ldb)
{
/* System generated locals */
integer a_dim1, a_offset, b_dim1, b_offset, i__1, i__2, i__3, i__4, i__5,
i__6;
complex q__1, q__2, q__3;
/* Builtin functions */
void r_cnjg(complex *, complex *);
/* Local variables */
integer i__, j, k, info;
complex temp;
extern logical lsame_(char *, char *);
logical lside;
integer nrowa;
logical upper;
extern /* Subroutine */ int xerbla_(char *, integer *);
logical noconj, nounit;
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* CTRMM performs one of the matrix-matrix operations */
/* B := alpha*op( A )*B, or B := alpha*B*op( A ) */
/* where alpha is a scalar, B is an m by n matrix, A is a unit, or */
/* non-unit, upper or lower triangular matrix and op( A ) is one of */
/* op( A ) = A or op( A ) = A' or op( A ) = conjg( A' ). */
/* Arguments */
/* ========== */
/* SIDE - CHARACTER*1. */
/* On entry, SIDE specifies whether op( A ) multiplies B from */
/* the left or right as follows: */
/* SIDE = 'L' or 'l' B := alpha*op( A )*B. */
/* SIDE = 'R' or 'r' B := alpha*B*op( A ). */
/* Unchanged on exit. */
/* UPLO - CHARACTER*1. */
/* On entry, UPLO specifies whether the matrix A is an upper or */
/* lower triangular matrix as follows: */
/* UPLO = 'U' or 'u' A is an upper triangular matrix. */
/* UPLO = 'L' or 'l' A is a lower triangular matrix. */
/* Unchanged on exit. */
/* TRANSA - CHARACTER*1. */
/* On entry, TRANSA specifies the form of op( A ) to be used in */
/* the matrix multiplication as follows: */
/* TRANSA = 'N' or 'n' op( A ) = A. */
/* TRANSA = 'T' or 't' op( A ) = A'. */
/* TRANSA = 'C' or 'c' op( A ) = conjg( A' ). */
/* Unchanged on exit. */
/* DIAG - CHARACTER*1. */
/* On entry, DIAG specifies whether or not A is unit triangular */
/* as follows: */
/* DIAG = 'U' or 'u' A is assumed to be unit triangular. */
/* DIAG = 'N' or 'n' A is not assumed to be unit */
/* triangular. */
/* Unchanged on exit. */
/* M - INTEGER. */
/* On entry, M specifies the number of rows of B. M must be at */
/* least zero. */
/* Unchanged on exit. */
/* N - INTEGER. */
/* On entry, N specifies the number of columns of B. N must be */
/* at least zero. */
/* Unchanged on exit. */
/* ALPHA - COMPLEX . */
/* On entry, ALPHA specifies the scalar alpha. When alpha is */
/* zero then A is not referenced and B need not be set before */
/* entry. */
/* Unchanged on exit. */
/* A - COMPLEX array of DIMENSION ( LDA, k ), where k is m */
/* when SIDE = 'L' or 'l' and is n when SIDE = 'R' or 'r'. */
/* Before entry with UPLO = 'U' or 'u', the leading k by k */
/* upper triangular part of the array A must contain the upper */
/* triangular matrix and the strictly lower triangular part of */
/* A is not referenced. */
/* Before entry with UPLO = 'L' or 'l', the leading k by k */
/* lower triangular part of the array A must contain the lower */
/* triangular matrix and the strictly upper triangular part of */
/* A is not referenced. */
/* Note that when DIAG = 'U' or 'u', the diagonal elements of */
/* A are not referenced either, but are assumed to be unity. */
/* Unchanged on exit. */
/* LDA - INTEGER. */
/* On entry, LDA specifies the first dimension of A as declared */
/* in the calling (sub) program. When SIDE = 'L' or 'l' then */
/* LDA must be at least max( 1, m ), when SIDE = 'R' or 'r' */
/* then LDA must be at least max( 1, n ). */
/* Unchanged on exit. */
/* B - COMPLEX array of DIMENSION ( LDB, n ). */
/* Before entry, the leading m by n part of the array B must */
/* contain the matrix B, and on exit is overwritten by the */
/* transformed matrix. */
/* LDB - INTEGER. */
/* On entry, LDB specifies the first dimension of B as declared */
/* in the calling (sub) program. LDB must be at least */
/* max( 1, m ). */
/* 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;
b_dim1 = *ldb;
b_offset = 1 + b_dim1;
b -= b_offset;
/* Function Body */
lside = lsame_(side, "L");
if (lside) {
nrowa = *m;
} else {
nrowa = *n;
}
noconj = lsame_(transa, "T");
nounit = lsame_(diag, "N");
upper = lsame_(uplo, "U");
info = 0;
if (! lside && ! lsame_(side, "R")) {
info = 1;
} else if (! upper && ! lsame_(uplo, "L")) {
info = 2;
} else if (! lsame_(transa, "N") && ! lsame_(transa,
"T") && ! lsame_(transa, "C")) {
info = 3;
} else if (! lsame_(diag, "U") && ! lsame_(diag,
"N")) {
info = 4;
} else if (*m < 0) {
info = 5;
} else if (*n < 0) {
info = 6;
} else if (*lda < max(1,nrowa)) {
info = 9;
} else if (*ldb < max(1,*m)) {
info = 11;
}
if (info != 0) {
xerbla_("CTRMM ", &info);
return 0;
}
/* Quick return if possible. */
if (*m == 0 || *n == 0) {
return 0;
}
/* And when alpha.eq.zero. */
if (alpha->r == 0.f && alpha->i == 0.f) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * b_dim1;
b[i__3].r = 0.f, b[i__3].i = 0.f;
/* L10: */
}
/* L20: */
}
return 0;
}
/* Start the operations. */
if (lside) {
if (lsame_(transa, "N")) {
/* Form B := alpha*A*B. */
if (upper) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
for (k = 1; k <= i__2; ++k) {
i__3 = k + j * b_dim1;
if (b[i__3].r != 0.f || b[i__3].i != 0.f) {
i__3 = k + j * b_dim1;
q__1.r = alpha->r * b[i__3].r - alpha->i * b[i__3]
.i, q__1.i = alpha->r * b[i__3].i +
alpha->i * b[i__3].r;
temp.r = q__1.r, temp.i = q__1.i;
i__3 = k - 1;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = i__ + j * b_dim1;
i__5 = i__ + j * b_dim1;
i__6 = i__ + k * 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 = b[i__5].r + q__2.r, q__1.i = b[i__5]
.i + q__2.i;
b[i__4].r = q__1.r, b[i__4].i = q__1.i;
/* L30: */
}
if (nounit) {
i__3 = k + k * a_dim1;
q__1.r = temp.r * a[i__3].r - temp.i * a[i__3]
.i, q__1.i = temp.r * a[i__3].i +
temp.i * a[i__3].r;
temp.r = q__1.r, temp.i = q__1.i;
}
i__3 = k + j * b_dim1;
b[i__3].r = temp.r, b[i__3].i = temp.i;
}
/* L40: */
}
/* L50: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
for (k = *m; k >= 1; --k) {
i__2 = k + j * b_dim1;
if (b[i__2].r != 0.f || b[i__2].i != 0.f) {
i__2 = k + j * b_dim1;
q__1.r = alpha->r * b[i__2].r - alpha->i * b[i__2]
.i, q__1.i = alpha->r * b[i__2].i +
alpha->i * b[i__2].r;
temp.r = q__1.r, temp.i = q__1.i;
i__2 = k + j * b_dim1;
b[i__2].r = temp.r, b[i__2].i = temp.i;
if (nounit) {
i__2 = k + j * b_dim1;
i__3 = k + j * b_dim1;
i__4 = k + k * a_dim1;
q__1.r = b[i__3].r * a[i__4].r - b[i__3].i *
a[i__4].i, q__1.i = b[i__3].r * a[
i__4].i + b[i__3].i * a[i__4].r;
b[i__2].r = q__1.r, b[i__2].i = q__1.i;
}
i__2 = *m;
for (i__ = k + 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * b_dim1;
i__4 = i__ + j * b_dim1;
i__5 = i__ + k * a_dim1;
q__2.r = temp.r * a[i__5].r - temp.i * a[i__5]
.i, q__2.i = temp.r * a[i__5].i +
temp.i * a[i__5].r;
q__1.r = b[i__4].r + q__2.r, q__1.i = b[i__4]
.i + q__2.i;
b[i__3].r = q__1.r, b[i__3].i = q__1.i;
/* L60: */
}
}
/* L70: */
}
/* L80: */
}
}
} else {
/* Form B := alpha*A'*B or B := alpha*conjg( A' )*B. */
if (upper) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
for (i__ = *m; i__ >= 1; --i__) {
i__2 = i__ + j * b_dim1;
temp.r = b[i__2].r, temp.i = b[i__2].i;
if (noconj) {
if (nounit) {
i__2 = i__ + i__ * a_dim1;
q__1.r = temp.r * a[i__2].r - temp.i * a[i__2]
.i, q__1.i = temp.r * a[i__2].i +
temp.i * a[i__2].r;
temp.r = q__1.r, temp.i = q__1.i;
}
i__2 = i__ - 1;
for (k = 1; k <= i__2; ++k) {
i__3 = k + i__ * a_dim1;
i__4 = k + j * b_dim1;
q__2.r = a[i__3].r * b[i__4].r - a[i__3].i *
b[i__4].i, q__2.i = a[i__3].r * b[
i__4].i + a[i__3].i * b[i__4].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;
/* L90: */
}
} else {
if (nounit) {
r_cnjg(&q__2, &a[i__ + i__ * a_dim1]);
q__1.r = temp.r * q__2.r - temp.i * q__2.i,
q__1.i = temp.r * q__2.i + temp.i *
q__2.r;
temp.r = q__1.r, temp.i = q__1.i;
}
i__2 = i__ - 1;
for (k = 1; k <= i__2; ++k) {
r_cnjg(&q__3, &a[k + i__ * a_dim1]);
i__3 = k + j * b_dim1;
q__2.r = q__3.r * b[i__3].r - q__3.i * b[i__3]
.i, q__2.i = q__3.r * b[i__3].i +
q__3.i * b[i__3].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;
/* L100: */
}
}
i__2 = i__ + j * b_dim1;
q__1.r = alpha->r * temp.r - alpha->i * temp.i,
q__1.i = alpha->r * temp.i + alpha->i *
temp.r;
b[i__2].r = q__1.r, b[i__2].i = q__1.i;
/* L110: */
}
/* L120: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * b_dim1;
temp.r = b[i__3].r, temp.i = b[i__3].i;
if (noconj) {
if (nounit) {
i__3 = i__ + i__ * a_dim1;
q__1.r = temp.r * a[i__3].r - temp.i * a[i__3]
.i, q__1.i = temp.r * a[i__3].i +
temp.i * a[i__3].r;
temp.r = q__1.r, temp.i = q__1.i;
}
i__3 = *m;
for (k = i__ + 1; k <= i__3; ++k) {
i__4 = k + i__ * a_dim1;
i__5 = k + j * b_dim1;
q__2.r = a[i__4].r * b[i__5].r - a[i__4].i *
b[i__5].i, q__2.i = a[i__4].r * b[
i__5].i + a[i__4].i * b[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;
/* L130: */
}
} else {
if (nounit) {
r_cnjg(&q__2, &a[i__ + i__ * a_dim1]);
q__1.r = temp.r * q__2.r - temp.i * q__2.i,
q__1.i = temp.r * q__2.i + temp.i *
q__2.r;
temp.r = q__1.r, temp.i = q__1.i;
}
i__3 = *m;
for (k = i__ + 1; k <= i__3; ++k) {
r_cnjg(&q__3, &a[k + i__ * a_dim1]);
i__4 = k + j * b_dim1;
q__2.r = q__3.r * b[i__4].r - q__3.i * b[i__4]
.i, q__2.i = q__3.r * b[i__4].i +
q__3.i * b[i__4].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;
/* L140: */
}
}
i__3 = i__ + j * b_dim1;
q__1.r = alpha->r * temp.r - alpha->i * temp.i,
q__1.i = alpha->r * temp.i + alpha->i *
temp.r;
b[i__3].r = q__1.r, b[i__3].i = q__1.i;
/* L150: */
}
/* L160: */
}
}
}
} else {
if (lsame_(transa, "N")) {
/* Form B := alpha*B*A. */
if (upper) {
for (j = *n; j >= 1; --j) {
temp.r = alpha->r, temp.i = alpha->i;
if (nounit) {
i__1 = j + j * a_dim1;
q__1.r = temp.r * a[i__1].r - temp.i * a[i__1].i,
q__1.i = temp.r * a[i__1].i + temp.i * a[i__1]
.r;
temp.r = q__1.r, temp.i = q__1.i;
}
i__1 = *m;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__ + j * b_dim1;
i__3 = i__ + j * b_dim1;
q__1.r = temp.r * b[i__3].r - temp.i * b[i__3].i,
q__1.i = temp.r * b[i__3].i + temp.i * b[i__3]
.r;
b[i__2].r = q__1.r, b[i__2].i = q__1.i;
/* L170: */
}
i__1 = j - 1;
for (k = 1; k <= i__1; ++k) {
i__2 = k + j * a_dim1;
if (a[i__2].r != 0.f || a[i__2].i != 0.f) {
i__2 = k + j * a_dim1;
q__1.r = alpha->r * a[i__2].r - alpha->i * a[i__2]
.i, q__1.i = alpha->r * a[i__2].i +
alpha->i * a[i__2].r;
temp.r = q__1.r, temp.i = q__1.i;
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * b_dim1;
i__4 = i__ + j * b_dim1;
i__5 = i__ + k * b_dim1;
q__2.r = temp.r * b[i__5].r - temp.i * b[i__5]
.i, q__2.i = temp.r * b[i__5].i +
temp.i * b[i__5].r;
q__1.r = b[i__4].r + q__2.r, q__1.i = b[i__4]
.i + q__2.i;
b[i__3].r = q__1.r, b[i__3].i = q__1.i;
/* L180: */
}
}
/* L190: */
}
/* L200: */
}
} else {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
temp.r = alpha->r, temp.i = alpha->i;
if (nounit) {
i__2 = j + j * a_dim1;
q__1.r = temp.r * a[i__2].r - temp.i * a[i__2].i,
q__1.i = temp.r * a[i__2].i + temp.i * a[i__2]
.r;
temp.r = q__1.r, temp.i = q__1.i;
}
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * b_dim1;
i__4 = i__ + j * b_dim1;
q__1.r = temp.r * b[i__4].r - temp.i * b[i__4].i,
q__1.i = temp.r * b[i__4].i + temp.i * b[i__4]
.r;
b[i__3].r = q__1.r, b[i__3].i = q__1.i;
/* L210: */
}
i__2 = *n;
for (k = j + 1; k <= i__2; ++k) {
i__3 = k + j * a_dim1;
if (a[i__3].r != 0.f || a[i__3].i != 0.f) {
i__3 = k + j * 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 = *m;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = i__ + j * b_dim1;
i__5 = i__ + j * b_dim1;
i__6 = i__ + k * b_dim1;
q__2.r = temp.r * b[i__6].r - temp.i * b[i__6]
.i, q__2.i = temp.r * b[i__6].i +
temp.i * b[i__6].r;
q__1.r = b[i__5].r + q__2.r, q__1.i = b[i__5]
.i + q__2.i;
b[i__4].r = q__1.r, b[i__4].i = q__1.i;
/* L220: */
}
}
/* L230: */
}
/* L240: */
}
}
} else {
/* Form B := alpha*B*A' or B := alpha*B*conjg( A' ). */
if (upper) {
i__1 = *n;
for (k = 1; k <= i__1; ++k) {
i__2 = k - 1;
for (j = 1; j <= i__2; ++j) {
i__3 = j + k * a_dim1;
if (a[i__3].r != 0.f || a[i__3].i != 0.f) {
if (noconj) {
i__3 = j + k * 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;
} else {
r_cnjg(&q__2, &a[j + k * a_dim1]);
q__1.r = alpha->r * q__2.r - alpha->i *
q__2.i, q__1.i = alpha->r * q__2.i +
alpha->i * q__2.r;
temp.r = q__1.r, temp.i = q__1.i;
}
i__3 = *m;
for (i__ = 1; i__ <= i__3; ++i__) {
i__4 = i__ + j * b_dim1;
i__5 = i__ + j * b_dim1;
i__6 = i__ + k * b_dim1;
q__2.r = temp.r * b[i__6].r - temp.i * b[i__6]
.i, q__2.i = temp.r * b[i__6].i +
temp.i * b[i__6].r;
q__1.r = b[i__5].r + q__2.r, q__1.i = b[i__5]
.i + q__2.i;
b[i__4].r = q__1.r, b[i__4].i = q__1.i;
/* L250: */
}
}
/* L260: */
}
temp.r = alpha->r, temp.i = alpha->i;
if (nounit) {
if (noconj) {
i__2 = k + k * a_dim1;
q__1.r = temp.r * a[i__2].r - temp.i * a[i__2].i,
q__1.i = temp.r * a[i__2].i + temp.i * a[
i__2].r;
temp.r = q__1.r, temp.i = q__1.i;
} else {
r_cnjg(&q__2, &a[k + k * a_dim1]);
q__1.r = temp.r * q__2.r - temp.i * q__2.i,
q__1.i = temp.r * q__2.i + temp.i *
q__2.r;
temp.r = q__1.r, temp.i = q__1.i;
}
}
if (temp.r != 1.f || temp.i != 0.f) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + k * b_dim1;
i__4 = i__ + k * b_dim1;
q__1.r = temp.r * b[i__4].r - temp.i * b[i__4].i,
q__1.i = temp.r * b[i__4].i + temp.i * b[
i__4].r;
b[i__3].r = q__1.r, b[i__3].i = q__1.i;
/* L270: */
}
}
/* L280: */
}
} else {
for (k = *n; k >= 1; --k) {
i__1 = *n;
for (j = k + 1; j <= i__1; ++j) {
i__2 = j + k * a_dim1;
if (a[i__2].r != 0.f || a[i__2].i != 0.f) {
if (noconj) {
i__2 = j + k * a_dim1;
q__1.r = alpha->r * a[i__2].r - alpha->i * a[
i__2].i, q__1.i = alpha->r * a[i__2]
.i + alpha->i * a[i__2].r;
temp.r = q__1.r, temp.i = q__1.i;
} else {
r_cnjg(&q__2, &a[j + k * a_dim1]);
q__1.r = alpha->r * q__2.r - alpha->i *
q__2.i, q__1.i = alpha->r * q__2.i +
alpha->i * q__2.r;
temp.r = q__1.r, temp.i = q__1.i;
}
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__ + j * b_dim1;
i__4 = i__ + j * b_dim1;
i__5 = i__ + k * b_dim1;
q__2.r = temp.r * b[i__5].r - temp.i * b[i__5]
.i, q__2.i = temp.r * b[i__5].i +
temp.i * b[i__5].r;
q__1.r = b[i__4].r + q__2.r, q__1.i = b[i__4]
.i + q__2.i;
b[i__3].r = q__1.r, b[i__3].i = q__1.i;
/* L290: */
}
}
/* L300: */
}
temp.r = alpha->r, temp.i = alpha->i;
if (nounit) {
if (noconj) {
i__1 = k + k * a_dim1;
q__1.r = temp.r * a[i__1].r - temp.i * a[i__1].i,
q__1.i = temp.r * a[i__1].i + temp.i * a[
i__1].r;
temp.r = q__1.r, temp.i = q__1.i;
} else {
r_cnjg(&q__2, &a[k + k * a_dim1]);
q__1.r = temp.r * q__2.r - temp.i * q__2.i,
q__1.i = temp.r * q__2.i + temp.i *
q__2.r;
temp.r = q__1.r, temp.i = q__1.i;
}
}
if (temp.r != 1.f || temp.i != 0.f) {
i__1 = *m;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__ + k * b_dim1;
i__3 = i__ + k * b_dim1;
q__1.r = temp.r * b[i__3].r - temp.i * b[i__3].i,
q__1.i = temp.r * b[i__3].i + temp.i * b[
i__3].r;
b[i__2].r = q__1.r, b[i__2].i = q__1.i;
/* L310: */
}
}
/* L320: */
}
}
}
}
return 0;
/* End of CTRMM . */
} /* ctrmm_ */