/* zspmv.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 zspmv_(char *uplo, integer *n, doublecomplex *alpha,
doublecomplex *ap, doublecomplex *x, integer *incx, doublecomplex *
beta, doublecomplex *y, integer *incy)
{
/* System generated locals */
integer i__1, i__2, i__3, i__4, i__5;
doublecomplex z__1, z__2, z__3, z__4;
/* Local variables */
integer i__, j, k, kk, ix, iy, jx, jy, kx, ky, info;
doublecomplex temp1, temp2;
extern logical lsame_(char *, char *);
extern /* Subroutine */ int xerbla_(char *, integer *);
/* -- LAPACK auxiliary routine (version 3.2) -- */
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
/* November 2006 */
/* .. Scalar Arguments .. */
/* .. */
/* .. Array Arguments .. */
/* .. */
/* Purpose */
/* ======= */
/* ZSPMV 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 symmetric matrix, supplied in packed form. */
/* Arguments */
/* ========== */
/* UPLO (input) CHARACTER*1 */
/* On entry, UPLO specifies whether the upper or lower */
/* triangular part of the matrix A is supplied in the packed */
/* array AP as follows: */
/* UPLO = 'U' or 'u' The upper triangular part of A is */
/* supplied in AP. */
/* UPLO = 'L' or 'l' The lower triangular part of A is */
/* supplied in AP. */
/* Unchanged on exit. */
/* N (input) INTEGER */
/* On entry, N specifies the order of the matrix A. */
/* N must be at least zero. */
/* Unchanged on exit. */
/* ALPHA (input) COMPLEX*16 */
/* On entry, ALPHA specifies the scalar alpha. */
/* Unchanged on exit. */
/* AP (input) COMPLEX*16 array, dimension at least */
/* ( ( N*( N + 1 ) )/2 ). */
/* Before entry, with UPLO = 'U' or 'u', the array AP must */
/* contain the upper triangular part of the symmetric matrix */
/* packed sequentially, column by column, so that AP( 1 ) */
/* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) */
/* and a( 2, 2 ) respectively, and so on. */
/* Before entry, with UPLO = 'L' or 'l', the array AP must */
/* contain the lower triangular part of the symmetric matrix */
/* packed sequentially, column by column, so that AP( 1 ) */
/* contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) */
/* and a( 3, 1 ) respectively, and so on. */
/* Unchanged on exit. */
/* X (input) COMPLEX*16 array, 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 (input) INTEGER */
/* On entry, INCX specifies the increment for the elements of */
/* X. INCX must not be zero. */
/* Unchanged on exit. */
/* BETA (input) COMPLEX*16 */
/* 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 (input/output) COMPLEX*16 array, 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 (input) INTEGER */
/* On entry, INCY specifies the increment for the elements of */
/* Y. INCY must not be zero. */
/* Unchanged on exit. */
/* ===================================================================== */
/* .. Parameters .. */
/* .. */
/* .. Local Scalars .. */
/* .. */
/* .. External Functions .. */
/* .. */
/* .. External Subroutines .. */
/* .. */
/* .. Executable Statements .. */
/* Test the input parameters. */
/* Parameter adjustments */
--y;
--x;
--ap;
/* Function Body */
info = 0;
if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) {
info = 1;
} else if (*n < 0) {
info = 2;
} else if (*incx == 0) {
info = 6;
} else if (*incy == 0) {
info = 9;
}
if (info != 0) {
xerbla_("ZSPMV ", &info);
return 0;
}
/* Quick return if possible. */
if (*n == 0 || alpha->r == 0. && alpha->i == 0. && (beta->r == 1. &&
beta->i == 0.)) {
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 the array AP */
/* are accessed sequentially with one pass through AP. */
/* First form y := beta*y. */
if (beta->r != 1. || beta->i != 0.) {
if (*incy == 1) {
if (beta->r == 0. && beta->i == 0.) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__;
y[i__2].r = 0., y[i__2].i = 0.;
/* L10: */
}
} else {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = i__;
i__3 = i__;
z__1.r = beta->r * y[i__3].r - beta->i * y[i__3].i,
z__1.i = beta->r * y[i__3].i + beta->i * y[i__3]
.r;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
/* L20: */
}
}
} else {
iy = ky;
if (beta->r == 0. && beta->i == 0.) {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = iy;
y[i__2].r = 0., y[i__2].i = 0.;
iy += *incy;
/* L30: */
}
} else {
i__1 = *n;
for (i__ = 1; i__ <= i__1; ++i__) {
i__2 = iy;
i__3 = iy;
z__1.r = beta->r * y[i__3].r - beta->i * y[i__3].i,
z__1.i = beta->r * y[i__3].i + beta->i * y[i__3]
.r;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
iy += *incy;
/* L40: */
}
}
}
}
if (alpha->r == 0. && alpha->i == 0.) {
return 0;
}
kk = 1;
if (lsame_(uplo, "U")) {
/* Form y when AP contains the upper triangle. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
z__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, z__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = z__1.r, temp1.i = z__1.i;
temp2.r = 0., temp2.i = 0.;
k = kk;
i__2 = j - 1;
for (i__ = 1; i__ <= i__2; ++i__) {
i__3 = i__;
i__4 = i__;
i__5 = k;
z__2.r = temp1.r * ap[i__5].r - temp1.i * ap[i__5].i,
z__2.i = temp1.r * ap[i__5].i + temp1.i * ap[i__5]
.r;
z__1.r = y[i__4].r + z__2.r, z__1.i = y[i__4].i + z__2.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
i__3 = k;
i__4 = i__;
z__2.r = ap[i__3].r * x[i__4].r - ap[i__3].i * x[i__4].i,
z__2.i = ap[i__3].r * x[i__4].i + ap[i__3].i * x[
i__4].r;
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
temp2.r = z__1.r, temp2.i = z__1.i;
++k;
/* L50: */
}
i__2 = j;
i__3 = j;
i__4 = kk + j - 1;
z__3.r = temp1.r * ap[i__4].r - temp1.i * ap[i__4].i, z__3.i =
temp1.r * ap[i__4].i + temp1.i * ap[i__4].r;
z__2.r = y[i__3].r + z__3.r, z__2.i = y[i__3].i + z__3.i;
z__4.r = alpha->r * temp2.r - alpha->i * temp2.i, z__4.i =
alpha->r * temp2.i + alpha->i * temp2.r;
z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
kk += j;
/* L60: */
}
} else {
jx = kx;
jy = ky;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
z__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, z__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = z__1.r, temp1.i = z__1.i;
temp2.r = 0., temp2.i = 0.;
ix = kx;
iy = ky;
i__2 = kk + j - 2;
for (k = kk; k <= i__2; ++k) {
i__3 = iy;
i__4 = iy;
i__5 = k;
z__2.r = temp1.r * ap[i__5].r - temp1.i * ap[i__5].i,
z__2.i = temp1.r * ap[i__5].i + temp1.i * ap[i__5]
.r;
z__1.r = y[i__4].r + z__2.r, z__1.i = y[i__4].i + z__2.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
i__3 = k;
i__4 = ix;
z__2.r = ap[i__3].r * x[i__4].r - ap[i__3].i * x[i__4].i,
z__2.i = ap[i__3].r * x[i__4].i + ap[i__3].i * x[
i__4].r;
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
temp2.r = z__1.r, temp2.i = z__1.i;
ix += *incx;
iy += *incy;
/* L70: */
}
i__2 = jy;
i__3 = jy;
i__4 = kk + j - 1;
z__3.r = temp1.r * ap[i__4].r - temp1.i * ap[i__4].i, z__3.i =
temp1.r * ap[i__4].i + temp1.i * ap[i__4].r;
z__2.r = y[i__3].r + z__3.r, z__2.i = y[i__3].i + z__3.i;
z__4.r = alpha->r * temp2.r - alpha->i * temp2.i, z__4.i =
alpha->r * temp2.i + alpha->i * temp2.r;
z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
jx += *incx;
jy += *incy;
kk += j;
/* L80: */
}
}
} else {
/* Form y when AP contains the lower triangle. */
if (*incx == 1 && *incy == 1) {
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = j;
z__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, z__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = z__1.r, temp1.i = z__1.i;
temp2.r = 0., temp2.i = 0.;
i__2 = j;
i__3 = j;
i__4 = kk;
z__2.r = temp1.r * ap[i__4].r - temp1.i * ap[i__4].i, z__2.i =
temp1.r * ap[i__4].i + temp1.i * ap[i__4].r;
z__1.r = y[i__3].r + z__2.r, z__1.i = y[i__3].i + z__2.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
k = kk + 1;
i__2 = *n;
for (i__ = j + 1; i__ <= i__2; ++i__) {
i__3 = i__;
i__4 = i__;
i__5 = k;
z__2.r = temp1.r * ap[i__5].r - temp1.i * ap[i__5].i,
z__2.i = temp1.r * ap[i__5].i + temp1.i * ap[i__5]
.r;
z__1.r = y[i__4].r + z__2.r, z__1.i = y[i__4].i + z__2.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
i__3 = k;
i__4 = i__;
z__2.r = ap[i__3].r * x[i__4].r - ap[i__3].i * x[i__4].i,
z__2.i = ap[i__3].r * x[i__4].i + ap[i__3].i * x[
i__4].r;
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
temp2.r = z__1.r, temp2.i = z__1.i;
++k;
/* L90: */
}
i__2 = j;
i__3 = j;
z__2.r = alpha->r * temp2.r - alpha->i * temp2.i, z__2.i =
alpha->r * temp2.i + alpha->i * temp2.r;
z__1.r = y[i__3].r + z__2.r, z__1.i = y[i__3].i + z__2.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
kk += *n - j + 1;
/* L100: */
}
} else {
jx = kx;
jy = ky;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = jx;
z__1.r = alpha->r * x[i__2].r - alpha->i * x[i__2].i, z__1.i =
alpha->r * x[i__2].i + alpha->i * x[i__2].r;
temp1.r = z__1.r, temp1.i = z__1.i;
temp2.r = 0., temp2.i = 0.;
i__2 = jy;
i__3 = jy;
i__4 = kk;
z__2.r = temp1.r * ap[i__4].r - temp1.i * ap[i__4].i, z__2.i =
temp1.r * ap[i__4].i + temp1.i * ap[i__4].r;
z__1.r = y[i__3].r + z__2.r, z__1.i = y[i__3].i + z__2.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
ix = jx;
iy = jy;
i__2 = kk + *n - j;
for (k = kk + 1; k <= i__2; ++k) {
ix += *incx;
iy += *incy;
i__3 = iy;
i__4 = iy;
i__5 = k;
z__2.r = temp1.r * ap[i__5].r - temp1.i * ap[i__5].i,
z__2.i = temp1.r * ap[i__5].i + temp1.i * ap[i__5]
.r;
z__1.r = y[i__4].r + z__2.r, z__1.i = y[i__4].i + z__2.i;
y[i__3].r = z__1.r, y[i__3].i = z__1.i;
i__3 = k;
i__4 = ix;
z__2.r = ap[i__3].r * x[i__4].r - ap[i__3].i * x[i__4].i,
z__2.i = ap[i__3].r * x[i__4].i + ap[i__3].i * x[
i__4].r;
z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
temp2.r = z__1.r, temp2.i = z__1.i;
/* L110: */
}
i__2 = jy;
i__3 = jy;
z__2.r = alpha->r * temp2.r - alpha->i * temp2.i, z__2.i =
alpha->r * temp2.i + alpha->i * temp2.r;
z__1.r = y[i__3].r + z__2.r, z__1.i = y[i__3].i + z__2.i;
y[i__2].r = z__1.r, y[i__2].i = z__1.i;
jx += *incx;
jy += *incy;
kk += *n - j + 1;
/* L120: */
}
}
}
return 0;
/* End of ZSPMV */
} /* zspmv_ */