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/* -- translated by f2c (version 19940927).
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7d535a |
You must link the resulting object file with the libraries:
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kusano |
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-lf2c -lm (in that order)
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*/
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7d535a |
#include "f2c.h"
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/* Subroutine */ int dgemv_(char *trans, integer *m, integer *n, doublereal *
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kusano |
7d535a |
alpha, doublereal *a, integer *lda, doublereal *x, integer *incx,
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7d535a |
doublereal *beta, doublereal *y, integer *incy)
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{
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/* System generated locals */
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integer a_dim1, a_offset, i__1, i__2;
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kusano |
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/* Local variables */
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static integer info;
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static doublereal temp;
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static integer lenx, leny, i, j;
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extern logical lsame_(char *, char *);
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static integer ix, iy, jx, jy, kx, ky;
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extern /* Subroutine */ int xerbla_(char *, integer *);
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7d535a |
|
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kusano |
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/* Purpose
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=======
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7d535a |
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DGEMV performs one of the matrix-vector operations
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y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y,
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7d535a |
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where alpha and beta are scalars, x and y are vectors and A is an
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m by n matrix.
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Parameters
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==========
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7d535a |
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TRANS - CHARACTER*1.
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On entry, TRANS specifies the operation to be performed as
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7d535a |
follows:
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TRANS = 'N' or 'n' y := alpha*A*x + beta*y.
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TRANS = 'T' or 't' y := alpha*A'*x + beta*y.
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7d535a |
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TRANS = 'C' or 'c' y := alpha*A'*x + beta*y.
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Unchanged on exit.
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M - INTEGER.
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On entry, M specifies the number of rows of the matrix A.
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M must be at least zero.
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7d535a |
Unchanged on exit.
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7d535a |
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N - INTEGER.
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On entry, N specifies the number of columns of the matrix A.
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7d535a |
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N must be at least zero.
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7d535a |
Unchanged on exit.
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kusano |
7d535a |
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7d535a |
ALPHA - DOUBLE PRECISION.
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On entry, ALPHA specifies the scalar alpha.
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kusano |
7d535a |
Unchanged on exit.
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kusano |
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A - DOUBLE PRECISION array of DIMENSION ( LDA, n ).
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Before entry, the leading m by n part of the array A must
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7d535a |
contain the matrix of coefficients.
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kusano |
7d535a |
Unchanged on exit.
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kusano |
7d535a |
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kusano |
7d535a |
LDA - INTEGER.
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kusano |
7d535a |
On entry, LDA specifies the first dimension of A as declared
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kusano |
7d535a |
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kusano |
7d535a |
in the calling (sub) program. LDA must be at least
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7d535a |
max( 1, m ).
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kusano |
7d535a |
Unchanged on exit.
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kusano |
7d535a |
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X - DOUBLE PRECISION array of DIMENSION at least
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kusano |
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( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = 'N' or 'n'
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and at least
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kusano |
7d535a |
( 1 + ( m - 1 )*abs( INCX ) ) otherwise.
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kusano |
7d535a |
Before entry, the incremented array X must contain the
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kusano |
7d535a |
vector x.
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kusano |
7d535a |
Unchanged on exit.
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kusano |
7d535a |
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kusano |
7d535a |
INCX - INTEGER.
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kusano |
7d535a |
On entry, INCX specifies the increment for the elements of
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7d535a |
X. INCX must not be zero.
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kusano |
7d535a |
Unchanged on exit.
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kusano |
7d535a |
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kusano |
7d535a |
BETA - DOUBLE PRECISION.
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kusano |
7d535a |
On entry, BETA specifies the scalar beta. When BETA is
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7d535a |
supplied as zero then Y need not be set on input.
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kusano |
7d535a |
Unchanged on exit.
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kusano |
7d535a |
|
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kusano |
7d535a |
Y - DOUBLE PRECISION array of DIMENSION at least
|
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kusano |
7d535a |
( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = 'N' or 'n'
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7d535a |
and at least
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kusano |
7d535a |
( 1 + ( n - 1 )*abs( INCY ) ) otherwise.
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kusano |
7d535a |
Before entry with BETA non-zero, the incremented array Y
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kusano |
7d535a |
must contain the vector y. On exit, Y is overwritten by the
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kusano |
7d535a |
|
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kusano |
7d535a |
updated vector y.
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kusano |
7d535a |
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kusano |
7d535a |
INCY - INTEGER.
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kusano |
7d535a |
On entry, INCY specifies the increment for the elements of
|
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kusano |
7d535a |
Y. INCY must not be zero.
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|
kusano |
7d535a |
Unchanged on exit.
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kusano |
7d535a |
|
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kusano |
7d535a |
|
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kusano |
7d535a |
Level 2 Blas routine.
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kusano |
7d535a |
|
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kusano |
7d535a |
-- Written on 22-October-1986.
|
|
kusano |
7d535a |
Jack Dongarra, Argonne National Lab.
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kusano |
7d535a |
Jeremy Du Croz, Nag Central Office.
|
|
kusano |
7d535a |
Sven Hammarling, Nag Central Office.
|
|
kusano |
7d535a |
Richard Hanson, Sandia National Labs.
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kusano |
7d535a |
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kusano |
7d535a |
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kusano |
7d535a |
|
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kusano |
7d535a |
Test the input parameters.
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kusano |
7d535a |
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kusano |
7d535a |
|
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kusano |
7d535a |
Parameter adjustments
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|
kusano |
7d535a |
Function Body */
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kusano |
7d535a |
#define X(I) x[(I)-1]
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kusano |
7d535a |
#define Y(I) y[(I)-1]
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kusano |
7d535a |
|
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kusano |
7d535a |
#define A(I,J) a[(I)-1 + ((J)-1)* ( *lda)]
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kusano |
7d535a |
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kusano |
7d535a |
info = 0;
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kusano |
7d535a |
if (! lsame_(trans, "N") && ! lsame_(trans, "T") && !
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kusano |
7d535a |
lsame_(trans, "C")) {
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kusano |
7d535a |
info = 1;
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kusano |
7d535a |
} else if (*m < 0) {
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kusano |
7d535a |
info = 2;
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kusano |
7d535a |
} else if (*n < 0) {
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kusano |
7d535a |
info = 3;
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kusano |
7d535a |
} else if (*lda < max(1,*m)) {
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kusano |
7d535a |
info = 6;
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kusano |
7d535a |
} else if (*incx == 0) {
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kusano |
7d535a |
info = 8;
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kusano |
7d535a |
} else if (*incy == 0) {
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kusano |
7d535a |
info = 11;
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kusano |
7d535a |
}
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kusano |
7d535a |
if (info != 0) {
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|
kusano |
7d535a |
xerbla_("DGEMV ", &info);
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kusano |
7d535a |
return 0;
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|
kusano |
7d535a |
}
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kusano |
7d535a |
|
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kusano |
7d535a |
/* Quick return if possible. */
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kusano |
7d535a |
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kusano |
7d535a |
if (*m == 0 || *n == 0 || *alpha == 0. && *beta == 1.) {
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kusano |
7d535a |
return 0;
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|
kusano |
7d535a |
}
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kusano |
7d535a |
|
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kusano |
7d535a |
/* Set LENX and LENY, the lengths of the vectors x and y, and set
|
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kusano |
7d535a |
|
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kusano |
7d535a |
up the start points in X and Y. */
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kusano |
7d535a |
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kusano |
7d535a |
if (lsame_(trans, "N")) {
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kusano |
7d535a |
lenx = *n;
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|
kusano |
7d535a |
leny = *m;
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kusano |
7d535a |
} else {
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kusano |
7d535a |
lenx = *m;
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|
kusano |
7d535a |
leny = *n;
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|
kusano |
7d535a |
}
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kusano |
7d535a |
if (*incx > 0) {
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|
kusano |
7d535a |
kx = 1;
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|
kusano |
7d535a |
} else {
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kusano |
7d535a |
kx = 1 - (lenx - 1) * *incx;
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kusano |
7d535a |
}
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kusano |
7d535a |
if (*incy > 0) {
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kusano |
7d535a |
ky = 1;
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kusano |
7d535a |
} else {
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|
kusano |
7d535a |
ky = 1 - (leny - 1) * *incy;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Start the operations. In this version the elements of A are
|
|
kusano |
7d535a |
accessed sequentially with one pass through A.
|
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kusano |
7d535a |
|
|
kusano |
7d535a |
First form y := beta*y. */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
if (*beta != 1.) {
|
|
kusano |
7d535a |
if (*incy == 1) {
|
|
kusano |
7d535a |
if (*beta == 0.) {
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|
kusano |
7d535a |
i__1 = leny;
|
|
kusano |
7d535a |
for (i = 1; i <= leny; ++i) {
|
|
kusano |
7d535a |
Y(i) = 0.;
|
|
kusano |
7d535a |
/* L10: */
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|
kusano |
7d535a |
}
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kusano |
7d535a |
} else {
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|
kusano |
7d535a |
i__1 = leny;
|
|
kusano |
7d535a |
for (i = 1; i <= leny; ++i) {
|
|
kusano |
7d535a |
Y(i) = *beta * Y(i);
|
|
kusano |
7d535a |
/* L20: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
} else {
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|
kusano |
7d535a |
iy = ky;
|
|
kusano |
7d535a |
if (*beta == 0.) {
|
|
kusano |
7d535a |
i__1 = leny;
|
|
kusano |
7d535a |
for (i = 1; i <= leny; ++i) {
|
|
kusano |
7d535a |
Y(iy) = 0.;
|
|
kusano |
7d535a |
iy += *incy;
|
|
kusano |
7d535a |
/* L30: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
i__1 = leny;
|
|
kusano |
7d535a |
for (i = 1; i <= leny; ++i) {
|
|
kusano |
7d535a |
Y(iy) = *beta * Y(iy);
|
|
kusano |
7d535a |
iy += *incy;
|
|
kusano |
7d535a |
/* L40: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
if (*alpha == 0.) {
|
|
kusano |
7d535a |
return 0;
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
if (lsame_(trans, "N")) {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Form y := alpha*A*x + y. */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
jx = kx;
|
|
kusano |
7d535a |
if (*incy == 1) {
|
|
kusano |
7d535a |
i__1 = *n;
|
|
kusano |
7d535a |
for (j = 1; j <= *n; ++j) {
|
|
kusano |
7d535a |
if (X(jx) != 0.) {
|
|
kusano |
7d535a |
temp = *alpha * X(jx);
|
|
kusano |
7d535a |
i__2 = *m;
|
|
kusano |
7d535a |
for (i = 1; i <= *m; ++i) {
|
|
kusano |
7d535a |
Y(i) += temp * A(i,j);
|
|
kusano |
7d535a |
/* L50: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
jx += *incx;
|
|
kusano |
7d535a |
/* L60: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
i__1 = *n;
|
|
kusano |
7d535a |
for (j = 1; j <= *n; ++j) {
|
|
kusano |
7d535a |
if (X(jx) != 0.) {
|
|
kusano |
7d535a |
temp = *alpha * X(jx);
|
|
kusano |
7d535a |
iy = ky;
|
|
kusano |
7d535a |
i__2 = *m;
|
|
kusano |
7d535a |
for (i = 1; i <= *m; ++i) {
|
|
kusano |
7d535a |
Y(iy) += temp * A(i,j);
|
|
kusano |
7d535a |
iy += *incy;
|
|
kusano |
7d535a |
/* L70: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
jx += *incx;
|
|
kusano |
7d535a |
/* L80: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* Form y := alpha*A'*x + y. */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
jy = ky;
|
|
kusano |
7d535a |
if (*incx == 1) {
|
|
kusano |
7d535a |
i__1 = *n;
|
|
kusano |
7d535a |
for (j = 1; j <= *n; ++j) {
|
|
kusano |
7d535a |
temp = 0.;
|
|
kusano |
7d535a |
i__2 = *m;
|
|
kusano |
7d535a |
for (i = 1; i <= *m; ++i) {
|
|
kusano |
7d535a |
temp += A(i,j) * X(i);
|
|
kusano |
7d535a |
/* L90: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
Y(jy) += *alpha * temp;
|
|
kusano |
7d535a |
jy += *incy;
|
|
kusano |
7d535a |
/* L100: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
} else {
|
|
kusano |
7d535a |
i__1 = *n;
|
|
kusano |
7d535a |
for (j = 1; j <= *n; ++j) {
|
|
kusano |
7d535a |
temp = 0.;
|
|
kusano |
7d535a |
ix = kx;
|
|
kusano |
7d535a |
i__2 = *m;
|
|
kusano |
7d535a |
for (i = 1; i <= *m; ++i) {
|
|
kusano |
7d535a |
temp += A(i,j) * X(ix);
|
|
kusano |
7d535a |
ix += *incx;
|
|
kusano |
7d535a |
/* L110: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
Y(jy) += *alpha * temp;
|
|
kusano |
7d535a |
jy += *incy;
|
|
kusano |
7d535a |
/* L120: */
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
}
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
return 0;
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
/* End of DGEMV . */
|
|
kusano |
7d535a |
|
|
kusano |
7d535a |
} /* dgemv_ */
|
|
kusano |
7d535a |
|