/* -- translated by f2c (version 19940927).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
#include "f2c.h"
/* Subroutine */ int chemv_(char *uplo, integer *n, complex *alpha, complex *
a, integer *lda, complex *x, integer *incx, complex *beta, complex *y,
integer *incy)
{
/* System generated locals */
integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
doublereal d__1;
complex q__1, q__2, q__3, q__4;
/* Builtin functions */
void r_cnjg(complex *, complex *);
/* Local variables */
static integer info;
static complex temp1, temp2;
static integer i, j;
extern logical lsame_(char *, char *);
static integer ix, iy, jx, jy, kx, ky;
extern /* Subroutine */ int xerbla_(char *, integer *);
/* Purpose
=======
CHEMV performs the matrix-vector operation
y := alpha*A*x + beta*y,
where alpha and beta are scalars, x and y are n element vectors and
A is an n by n hermitian matrix.
Parameters
==========
UPLO - CHARACTER*1.
On entry, UPLO specifies whether the upper or lower
triangular part of the array A is to be referenced as
follows:
UPLO = 'U' or 'u' Only the upper triangular part of A
is to be referenced.
UPLO = 'L' or 'l' Only the lower triangular part of A
is to be referenced.
Unchanged on exit.
N - INTEGER.
On entry, N specifies the order of the matrix A.
N 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, n ).
Before entry with UPLO = 'U' or 'u', the leading n by n
upper triangular part of the array A must contain the upper
triangular part of the hermitian matrix and the strictly
lower triangular part of A is not referenced.
Before entry with UPLO = 'L' or 'l', the leading n by n
lower triangular part of the array A must contain the lower
triangular part of the hermitian matrix and the strictly
upper triangular part of A is not referenced.
Note that the imaginary parts of the diagonal elements need
not be set and are assumed to be zero.
Unchanged on exit.
LDA - INTEGER.
On entry, LDA specifies the first dimension of A as declared
in the calling (sub) program. LDA must be at least
max( 1, n ).
Unchanged on exit.
X - COMPLEX array of dimension at least
( 1 + ( n - 1 )*abs( INCX ) ).
Before entry, the incremented array X must contain the n
element vector x.
Unchanged on exit.
INCX - INTEGER.
On entry, INCX specifies the increment for the elements of
X. INCX must not be zero.
Unchanged on exit.
BETA - COMPLEX .
On entry, BETA specifies the scalar beta. When BETA is
supplied as zero then Y need not be set on input.
Unchanged on exit.
Y - COMPLEX array of dimension at least
( 1 + ( n - 1 )*abs( INCY ) ).
Before entry, the incremented array Y must contain the n
element vector y. On exit, Y is overwritten by the updated
vector y.
INCY - INTEGER.
On entry, INCY specifies the increment for the elements of
Y. INCY must not be zero.
Unchanged on exit.
Level 2 Blas routine.
-- Written on 22-October-1986.
Jack Dongarra, Argonne National Lab.
Jeremy Du Croz, Nag Central Office.
Sven Hammarling, Nag Central Office.
Richard Hanson, Sandia National Labs.
Test the input parameters.
Parameter adjustments
Function Body */
#define X(I) x[(I)-1]
#define Y(I) y[(I)-1]
#define A(I,J) a[(I)-1 + ((J)-1)* ( *lda)]
info = 0;
if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*lda < max(1,*n)) {
info = 5;
} else if (*incx == 0) {
info = 7;
} else if (*incy == 0) {
info = 10;
}
if (info != 0) {
xerbla_("CHEMV ", &info);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || alpha->r == 0.f && alpha->i == 0.f && (beta->r == 1.f &&
beta->i == 0.f)) {
return 0;
}
/* Set up the start points in X and Y. */
if (*incx > 0) {
kx = 1;
} else {
kx = 1 - (*n - 1) * *incx;
}
if (*incy > 0) {
ky = 1;
} else {
ky = 1 - (*n - 1) * *incy;
}
/* Start the operations. In this version the elements of A are
accessed sequentially with one pass through the triangular part
of A.
First form y := beta*y. */
if (beta->r != 1.f || beta->i != 0.f) {
if (*incy == 1) {
if (beta->r == 0.f && beta->i == 0.f) {
i__1 = *n;
for (i = 1; i <= *n; ++i) {
i__2 = i;
Y(i).r = 0.f, Y(i).i = 0.f;
/* L10: */
}
} else {
i__1 = *n;
for (i = 1; i <= *n; ++i) {
i__2 = i;
i__3 = i;
q__1.r = beta->r * Y(i).r - beta->i * Y(i).i,
q__1.i = beta->r * Y(i).i + beta->i * Y(i)
.r;
Y(i).r = q__1.r, Y(i).i = q__1.i;
/* L20: */
}
}
} else {
iy = ky;
if (beta->r == 0.f && beta->i == 0.f) {
i__1 = *n;
for (i = 1; i <= *n; ++i) {
i__2 = iy;
Y(iy).r = 0.f, Y(iy).i = 0.f;
iy += *incy;
/* L30: */
}
} else {
i__1 = *n;
for (i = 1; i <= *n; ++i) {
i__2 = iy;
i__3 = iy;
q__1.r = beta->r * Y(iy).r - beta->i * Y(iy).i,
q__1.i = beta->r * Y(iy).i + beta->i * Y(iy)
.r;
Y(iy).r = q__1.r, Y(iy).i = q__1.i;
iy += *incy;
/* L40: */
}
}
}
}
if (alpha->r == 0.f && alpha->i == 0.f) {
return 0;
}
if (lsame_(uplo, "U")) {
/* Form y when A is stored in upper triangle. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= *n; ++j) {
i__2 = j;
q__1.r = alpha->r * X(j).r - alpha->i * X(j).i, q__1.i =
alpha->r * X(j).i + alpha->i * X(j).r;
temp1.r = q__1.r, temp1.i = q__1.i;
temp2.r = 0.f, temp2.i = 0.f;
i__2 = j - 1;
for (i = 1; i <= j-1; ++i) {
i__3 = i;
i__4 = i;
i__5 = i + j * a_dim1;
q__2.r = temp1.r * A(i,j).r - temp1.i * A(i,j).i,
q__2.i = temp1.r * A(i,j).i + temp1.i * A(i,j)
.r;
q__1.r = Y(i).r + q__2.r, q__1.i = Y(i).i + q__2.i;
Y(i).r = q__1.r, Y(i).i = q__1.i;
r_cnjg(&q__3, &A(i,j));
i__3 = i;
q__2.r = q__3.r * X(i).r - q__3.i * X(i).i, q__2.i =
q__3.r * X(i).i + q__3.i * X(i).r;
q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
temp2.r = q__1.r, temp2.i = q__1.i;
/* L50: */
}
i__2 = j;
i__3 = j;
i__4 = j + j * a_dim1;
d__1 = A(j,j).r;
q__3.r = d__1 * temp1.r, q__3.i = d__1 * temp1.i;
q__2.r = Y(j).r + q__3.r, q__2.i = Y(j).i + q__3.i;
q__4.r = alpha->r * temp2.r - alpha->i * temp2.i, q__4.i =
alpha->r * temp2.i + alpha->i * temp2.r;
q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
Y(j).r = q__1.r, Y(j).i = q__1.i;
/* L60: */
}
} else {
jx = kx;
jy = ky;
i__1 = *n;
for (j = 1; j <= *n; ++j) {
i__2 = jx;
q__1.r = alpha->r * X(jx).r - alpha->i * X(jx).i, q__1.i =
alpha->r * X(jx).i + alpha->i * X(jx).r;
temp1.r = q__1.r, temp1.i = q__1.i;
temp2.r = 0.f, temp2.i = 0.f;
ix = kx;
iy = ky;
i__2 = j - 1;
for (i = 1; i <= j-1; ++i) {
i__3 = iy;
i__4 = iy;
i__5 = i + j * a_dim1;
q__2.r = temp1.r * A(i,j).r - temp1.i * A(i,j).i,
q__2.i = temp1.r * A(i,j).i + temp1.i * A(i,j)
.r;
q__1.r = Y(iy).r + q__2.r, q__1.i = Y(iy).i + q__2.i;
Y(iy).r = q__1.r, Y(iy).i = q__1.i;
r_cnjg(&q__3, &A(i,j));
i__3 = ix;
q__2.r = q__3.r * X(ix).r - q__3.i * X(ix).i, q__2.i =
q__3.r * X(ix).i + q__3.i * X(ix).r;
q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
temp2.r = q__1.r, temp2.i = q__1.i;
ix += *incx;
iy += *incy;
/* L70: */
}
i__2 = jy;
i__3 = jy;
i__4 = j + j * a_dim1;
d__1 = A(j,j).r;
q__3.r = d__1 * temp1.r, q__3.i = d__1 * temp1.i;
q__2.r = Y(jy).r + q__3.r, q__2.i = Y(jy).i + q__3.i;
q__4.r = alpha->r * temp2.r - alpha->i * temp2.i, q__4.i =
alpha->r * temp2.i + alpha->i * temp2.r;
q__1.r = q__2.r + q__4.r, q__1.i = q__2.i + q__4.i;
Y(jy).r = q__1.r, Y(jy).i = q__1.i;
jx += *incx;
jy += *incy;
/* L80: */
}
}
} else {
/* Form y when A is stored in lower triangle. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= *n; ++j) {
i__2 = j;
q__1.r = alpha->r * X(j).r - alpha->i * X(j).i, q__1.i =
alpha->r * X(j).i + alpha->i * X(j).r;
temp1.r = q__1.r, temp1.i = q__1.i;
temp2.r = 0.f, temp2.i = 0.f;
i__2 = j;
i__3 = j;
i__4 = j + j * a_dim1;
d__1 = A(j,j).r;
q__2.r = d__1 * temp1.r, q__2.i = d__1 * temp1.i;
q__1.r = Y(j).r + q__2.r, q__1.i = Y(j).i + q__2.i;
Y(j).r = q__1.r, Y(j).i = q__1.i;
i__2 = *n;
for (i = j + 1; i <= *n; ++i) {
i__3 = i;
i__4 = i;
i__5 = i + j * a_dim1;
q__2.r = temp1.r * A(i,j).r - temp1.i * A(i,j).i,
q__2.i = temp1.r * A(i,j).i + temp1.i * A(i,j)
.r;
q__1.r = Y(i).r + q__2.r, q__1.i = Y(i).i + q__2.i;
Y(i).r = q__1.r, Y(i).i = q__1.i;
r_cnjg(&q__3, &A(i,j));
i__3 = i;
q__2.r = q__3.r * X(i).r - q__3.i * X(i).i, q__2.i =
q__3.r * X(i).i + q__3.i * X(i).r;
q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
temp2.r = q__1.r, temp2.i = q__1.i;
/* L90: */
}
i__2 = j;
i__3 = j;
q__2.r = alpha->r * temp2.r - alpha->i * temp2.i, q__2.i =
alpha->r * temp2.i + alpha->i * temp2.r;
q__1.r = Y(j).r + q__2.r, q__1.i = Y(j).i + q__2.i;
Y(j).r = q__1.r, Y(j).i = q__1.i;
/* L100: */
}
} else {
jx = kx;
jy = ky;
i__1 = *n;
for (j = 1; j <= *n; ++j) {
i__2 = jx;
q__1.r = alpha->r * X(jx).r - alpha->i * X(jx).i, q__1.i =
alpha->r * X(jx).i + alpha->i * X(jx).r;
temp1.r = q__1.r, temp1.i = q__1.i;
temp2.r = 0.f, temp2.i = 0.f;
i__2 = jy;
i__3 = jy;
i__4 = j + j * a_dim1;
d__1 = A(j,j).r;
q__2.r = d__1 * temp1.r, q__2.i = d__1 * temp1.i;
q__1.r = Y(jy).r + q__2.r, q__1.i = Y(jy).i + q__2.i;
Y(jy).r = q__1.r, Y(jy).i = q__1.i;
ix = jx;
iy = jy;
i__2 = *n;
for (i = j + 1; i <= *n; ++i) {
ix += *incx;
iy += *incy;
i__3 = iy;
i__4 = iy;
i__5 = i + j * a_dim1;
q__2.r = temp1.r * A(i,j).r - temp1.i * A(i,j).i,
q__2.i = temp1.r * A(i,j).i + temp1.i * A(i,j)
.r;
q__1.r = Y(iy).r + q__2.r, q__1.i = Y(iy).i + q__2.i;
Y(iy).r = q__1.r, Y(iy).i = q__1.i;
r_cnjg(&q__3, &A(i,j));
i__3 = ix;
q__2.r = q__3.r * X(ix).r - q__3.i * X(ix).i, q__2.i =
q__3.r * X(ix).i + q__3.i * X(ix).r;
q__1.r = temp2.r + q__2.r, q__1.i = temp2.i + q__2.i;
temp2.r = q__1.r, temp2.i = q__1.i;
/* L110: */
}
i__2 = jy;
i__3 = jy;
q__2.r = alpha->r * temp2.r - alpha->i * temp2.i, q__2.i =
alpha->r * temp2.i + alpha->i * temp2.r;
q__1.r = Y(jy).r + q__2.r, q__1.i = Y(jy).i + q__2.i;
Y(jy).r = q__1.r, Y(jy).i = q__1.i;
jx += *incx;
jy += *incy;
/* L120: */
}
}
}
return 0;
/* End of CHEMV . */
} /* chemv_ */