/* mvm.c */
#include "../InpMtx.h"
/*--------------------------------------------------------------------*/
/*
----------------------------------------
purpose -- to compute Y := Y + alpha*A*X
created -- 98may02, cca
----------------------------------------
*/
void
InpMtx_nonsym_mmmVector (
InpMtx *A,
double y[],
double alpha[],
double x[]
) {
int nent ;
int *ivec1, *ivec2 ;
double *dvec ;
/*
---------------
check the input
---------------
*/
if ( A == NULL || y == NULL || alpha == NULL || x == NULL ) {
fprintf(stderr,
"\n fatal error in InpMtx_nonsym_mmmVector(%p,%p,%p,%p)"
"\n bad input\n", A, y, alpha, x) ;
exit(-1) ;
}
if ( ! (INPMTX_IS_REAL_ENTRIES(A) || INPMTX_IS_COMPLEX_ENTRIES(A)) ) {
fprintf(stderr,
"\n fatal error in InpMtx_nonsym_mmmVector(%p,%p,%p,%p)"
"\n bad inputMode %d for A\n", A, y, alpha, x, A->inputMode) ;
exit(-1) ;
}
/*
--------------------------------
data is stored as triples
(deal with vector storage later)
--------------------------------
*/
ivec1 = InpMtx_ivec1(A) ;
ivec2 = InpMtx_ivec2(A) ;
dvec = InpMtx_dvec(A) ;
if ( ivec1 == NULL || ivec2 == NULL || dvec == NULL ) {
fprintf(stderr,
"\n fatal error in InpMtx_nonsym_mmmVector(%p,%p,%p,%p)"
"\n ivec1 %p, ivec2 %p, dvec %p\n",
A, y, alpha, x, ivec1, ivec2, dvec) ;
exit(-1) ;
}
nent = A->nent ;
if ( INPMTX_IS_REAL_ENTRIES(A) ) {
double rfac ;
int chev, col, ii, jrhs, off, row ;
rfac = alpha[0] ;
if ( INPMTX_IS_BY_ROWS(A) ) {
if ( rfac == 1.0 ) {
for ( ii = 0 ; ii < nent ; ii++ ) {
row = ivec1[ii] ; col = ivec2[ii] ;
y[row] += dvec[ii]*x[col] ;
}
} else {
for ( ii = 0 ; ii < nent ; ii++ ) {
row = ivec1[ii] ; col = ivec2[ii] ;
y[row] += rfac * dvec[ii]*x[col] ;
}
}
} else if ( INPMTX_IS_BY_COLUMNS(A) ) {
if ( rfac == 1.0 ) {
for ( ii = 0 ; ii < nent ; ii++ ) {
col = ivec1[ii] ; row = ivec2[ii] ;
y[row] += dvec[ii]*x[col] ;
}
} else {
for ( ii = 0 ; ii < nent ; ii++ ) {
col = ivec1[ii] ; row = ivec2[ii] ;
y[row] += rfac * dvec[ii]*x[col] ;
}
}
} else if ( INPMTX_IS_BY_CHEVRONS(A) ) {
if ( rfac == 1.0 ) {
for ( ii = 0 ; ii < nent ; ii++ ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
y[row] += dvec[ii]*x[col] ;
}
} else {
for ( ii = 0 ; ii < nent ; ii++ ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
y[row] += rfac * dvec[ii]*x[col] ;
}
}
}
} else if ( INPMTX_IS_COMPLEX_ENTRIES(A) ) {
double aimag, areal, ifac, rfac, t1, t2, ximag, xreal ;
int chev, col, ii, jj, jrhs, off, row ;
rfac = alpha[0] ; ifac = alpha[1] ;
if ( INPMTX_IS_BY_ROWS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec1[ii] ; col = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal - aimag*ximag ;
y[2*row+1] += areal*ximag + aimag*xreal ;
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec1[ii] ; col = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal - aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ;
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec1[ii] ; col = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
}
}
} else if ( INPMTX_IS_BY_COLUMNS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec1[ii] ; row = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal - aimag*ximag ;
y[2*row+1] += areal*ximag + aimag*xreal ;
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec1[ii] ; row = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal - aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ;
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec1[ii] ; row = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
}
}
} else if ( INPMTX_IS_BY_CHEVRONS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal - aimag*ximag ;
y[2*row+1] += areal*ximag + aimag*xreal ;
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal - aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ;
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
}
}
}
}
return ; }
/*--------------------------------------------------------------------*/
/*
------------------------------------------
purpose -- to compute Y := Y + alpha*A^T*X
created -- 98may28, cca
------------------------------------------
*/
void
InpMtx_nonsym_mmmVector_T (
InpMtx *A,
double y[],
double alpha[],
double x[]
) {
int nent ;
int *ivec1, *ivec2 ;
double *dvec ;
/*
---------------
check the input
---------------
*/
if ( A == NULL || y == NULL || alpha == NULL || x == NULL ) {
fprintf(stderr,
"\n fatal error in InpMtx_nonsym_mmmVector_T(%p,%p,%p,%p)"
"\n bad input\n", A, y, alpha, x) ;
exit(-1) ;
}
if ( ! (INPMTX_IS_REAL_ENTRIES(A) || INPMTX_IS_COMPLEX_ENTRIES(A)) ) {
fprintf(stderr,
"\n fatal error in InpMtx_nonsym_mmmVector_T(%p,%p,%p,%p)"
"\n bad inputMode %d for A\n", A, y, alpha, x, A->inputMode) ;
exit(-1) ;
}
/*
--------------------------------
data is stored as triples
(deal with vector storage later)
--------------------------------
*/
ivec1 = InpMtx_ivec1(A) ;
ivec2 = InpMtx_ivec2(A) ;
dvec = InpMtx_dvec(A) ;
if ( ivec1 == NULL || ivec2 == NULL || dvec == NULL ) {
fprintf(stderr,
"\n fatal error in InpMtx_nonsym_mmmVector_T(%p,%p,%p,%p)"
"\n ivec1 %p, ivec2 %p, dvec %p\n",
A, y, alpha, x, ivec1, ivec2, dvec) ;
exit(-1) ;
}
nent = A->nent ;
if ( INPMTX_IS_REAL_ENTRIES(A) ) {
double rfac ;
int chev, col, ii, jrhs, off, row ;
rfac = alpha[0] ;
if ( INPMTX_IS_BY_ROWS(A) ) {
if ( rfac == 1.0 ) {
for ( ii = 0 ; ii < nent ; ii++ ) {
row = ivec2[ii] ; col = ivec1[ii] ;
y[row] += dvec[ii]*x[col] ;
}
} else {
for ( ii = 0 ; ii < nent ; ii++ ) {
row = ivec2[ii] ; col = ivec1[ii] ;
y[row] += rfac * dvec[ii]*x[col] ;
}
}
} else if ( INPMTX_IS_BY_COLUMNS(A) ) {
if ( rfac == 1.0 ) {
for ( ii = 0 ; ii < nent ; ii++ ) {
col = ivec2[ii] ; row = ivec1[ii] ;
y[row] += dvec[ii]*x[col] ;
}
} else {
for ( ii = 0 ; ii < nent ; ii++ ) {
col = ivec2[ii] ; row = ivec1[ii] ;
y[row] += rfac * dvec[ii]*x[col] ;
}
}
} else if ( INPMTX_IS_BY_CHEVRONS(A) ) {
if ( rfac == 1.0 ) {
for ( ii = 0 ; ii < nent ; ii++ ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
col = chev ; row = chev + off ;
} else {
row = chev ; col = chev - off ;
}
y[row] += dvec[ii]*x[col] ;
}
} else {
for ( ii = 0 ; ii < nent ; ii++ ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
col = chev ; row = chev + off ;
} else {
row = chev ; col = chev - off ;
}
y[row] += rfac * dvec[ii]*x[col] ;
}
}
}
} else if ( INPMTX_IS_COMPLEX_ENTRIES(A) ) {
double aimag, areal, ifac, rfac, t1, t2, ximag, xreal ;
int chev, col, ii, jj, jrhs, off, row ;
rfac = alpha[0] ; ifac = alpha[1] ;
if ( INPMTX_IS_BY_ROWS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec2[ii] ; col = ivec1[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal - aimag*ximag ;
y[2*row+1] += areal*ximag + aimag*xreal ;
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec2[ii] ; col = ivec1[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal - aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ;
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec2[ii] ; col = ivec1[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
}
}
} else if ( INPMTX_IS_BY_COLUMNS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec2[ii] ; row = ivec1[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal - aimag*ximag ;
y[2*row+1] += areal*ximag + aimag*xreal ;
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec2[ii] ; row = ivec1[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal - aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ;
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec2[ii] ; row = ivec1[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
}
}
} else if ( INPMTX_IS_BY_CHEVRONS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
col = chev ; row = chev + off ;
} else {
row = chev ; col = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal - aimag*ximag ;
y[2*row+1] += areal*ximag + aimag*xreal ;
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
col = chev ; row = chev + off ;
} else {
row = chev ; col = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal - aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ;
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
col = chev ; row = chev + off ;
} else {
row = chev ; col = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
}
}
}
}
return ; }
/*--------------------------------------------------------------------*/
/*
------------------------------------------
purpose -- to compute Y := Y + alpha*A^H*X
created -- 98may28, cca
------------------------------------------
*/
void
InpMtx_nonsym_mmmVector_H (
InpMtx *A,
double y[],
double alpha[],
double x[]
) {
int nent ;
int *ivec1, *ivec2 ;
double *dvec ;
/*
---------------
check the input
---------------
*/
if ( A == NULL || y == NULL || alpha == NULL || x == NULL ) {
fprintf(stderr,
"\n fatal error in InpMtx_nonsym_mmmVector_H(%p,%p,%p,%p)"
"\n bad input\n", A, y, alpha, x) ;
exit(-1) ;
}
if ( ! INPMTX_IS_COMPLEX_ENTRIES(A) ) {
fprintf(stderr,
"\n fatal error in InpMtx_nonsym_mmmVector_H(%p,%p,%p,%p)"
"\n bad inputMode %d for A\n", A, y, alpha, x, A->inputMode) ;
exit(-1) ;
}
/*
--------------------------------
data is stored as triples
(deal with vector storage later)
--------------------------------
*/
ivec1 = InpMtx_ivec1(A) ;
ivec2 = InpMtx_ivec2(A) ;
dvec = InpMtx_dvec(A) ;
if ( ivec1 == NULL || ivec2 == NULL || dvec == NULL ) {
fprintf(stderr,
"\n fatal error in InpMtx_nonsym_mmmVector_H(%p,%p,%p,%p)"
"\n ivec1 %p, ivec2 %p, dvec %p\n",
A, y, alpha, x, ivec1, ivec2, dvec) ;
exit(-1) ;
}
nent = A->nent ;
if ( INPMTX_IS_COMPLEX_ENTRIES(A) ) {
double aimag, areal, ifac, rfac, t1, t2, ximag, xreal ;
int chev, col, ii, jj, jrhs, off, row ;
rfac = alpha[0] ; ifac = alpha[1] ;
if ( INPMTX_IS_BY_ROWS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec2[ii] ; col = ivec1[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal + aimag*ximag ;
y[2*row+1] += areal*ximag - aimag*xreal ;
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec2[ii] ; col = ivec1[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal + aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag - aimag*xreal) ;
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec2[ii] ; col = ivec1[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal + aimag*ximag ;
t2 = areal*ximag - aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
}
}
} else if ( INPMTX_IS_BY_COLUMNS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec2[ii] ; row = ivec1[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal + aimag*ximag ;
y[2*row+1] += areal*ximag - aimag*xreal ;
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec2[ii] ; row = ivec1[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal + aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag - aimag*xreal) ;
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec2[ii] ; row = ivec1[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal + aimag*ximag ;
t2 = areal*ximag - aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
}
}
} else if ( INPMTX_IS_BY_CHEVRONS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
col = chev ; row = chev + off ;
} else {
row = chev ; col = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal + aimag*ximag ;
y[2*row+1] += areal*ximag - aimag*xreal ;
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
col = chev ; row = chev + off ;
} else {
row = chev ; col = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal + aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag - aimag*xreal) ;
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
col = chev ; row = chev + off ;
} else {
row = chev ; col = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal + aimag*ximag ;
t2 = areal*ximag - aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
}
}
}
}
return ; }
/*--------------------------------------------------------------------*/
/*
----------------------------------------
purpose -- to compute Y := Y + alpha*A*X
where A is symmetric
created -- 98may02, cca
----------------------------------------
*/
void
InpMtx_sym_mmmVector (
InpMtx *A,
double y[],
double alpha[],
double x[]
) {
int nent ;
int *ivec1, *ivec2 ;
double *dvec ;
/*
---------------
check the input
---------------
*/
if ( A == NULL || y == NULL || alpha == NULL || x == NULL ) {
fprintf(stderr, "\n fatal error in InpMtx_sym_mmmVector(%p,%p,%p,%p)"
"\n bad input\n", A, y, alpha, x) ;
exit(-1) ;
}
if ( ! (INPMTX_IS_REAL_ENTRIES(A) || INPMTX_IS_COMPLEX_ENTRIES(A)) ) {
fprintf(stderr, "\n fatal error in InpMtx_sym_mmmVector(%p,%p,%p,%p)"
"\n bad inputMode %d for A\n", A, y, alpha, x, A->inputMode) ;
exit(-1) ;
}
/*
--------------------------------
data is stored as triples
(deal with vector storage later)
--------------------------------
*/
ivec1 = InpMtx_ivec1(A) ;
ivec2 = InpMtx_ivec2(A) ;
dvec = InpMtx_dvec(A) ;
if ( ivec1 == NULL || ivec2 == NULL || dvec == NULL ) {
fprintf(stderr, "\n fatal error in InpMtx_sym_mmmVector(%p,%p,%p,%p)"
"\n ivec1 %p, ivec2 %p, dvec %p\n",
A, y, alpha, x, ivec1, ivec2, dvec) ;
exit(-1) ;
}
nent = A->nent ;
if ( INPMTX_IS_REAL_ENTRIES(A) ) {
double rfac ;
int chev, col, ii, jrhs, off, row ;
rfac = alpha[0] ;
if ( INPMTX_IS_BY_ROWS(A) ) {
if ( rfac == 1.0 ) {
for ( ii = 0 ; ii < nent ; ii++ ) {
row = ivec1[ii] ; col = ivec2[ii] ;
y[row] += dvec[ii]*x[col] ;
if ( row != col ) {
y[col] += dvec[ii]*x[row] ;
}
}
} else {
for ( ii = 0 ; ii < nent ; ii++ ) {
row = ivec1[ii] ; col = ivec2[ii] ;
y[row] += rfac * dvec[ii]*x[col] ;
if ( row != col ) {
y[col] += rfac * dvec[ii]*x[row] ;
}
}
}
} else if ( INPMTX_IS_BY_COLUMNS(A) ) {
if ( rfac == 1.0 ) {
for ( ii = 0 ; ii < nent ; ii++ ) {
col = ivec1[ii] ; row = ivec2[ii] ;
y[row] += dvec[ii]*x[col] ;
if ( row != col ) {
y[col] += dvec[ii]*x[row] ;
}
}
} else {
for ( ii = 0 ; ii < nent ; ii++ ) {
col = ivec1[ii] ; row = ivec2[ii] ;
y[row] += rfac * dvec[ii]*x[col] ;
if ( row != col ) {
y[col] += rfac * dvec[ii]*x[row] ;
}
}
}
} else if ( INPMTX_IS_BY_CHEVRONS(A) ) {
if ( rfac == 1.0 ) {
for ( ii = 0 ; ii < nent ; ii++ ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
y[row] += dvec[ii]*x[col] ;
if ( row != col ) {
y[col] += dvec[ii]*x[row] ;
}
}
} else {
for ( ii = 0 ; ii < nent ; ii++ ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
y[row] += rfac * dvec[ii]*x[col] ;
if ( row != col ) {
y[col] += rfac * dvec[ii]*x[row] ;
}
}
}
}
} else if ( INPMTX_IS_COMPLEX_ENTRIES(A) ) {
double aimag, areal, ifac, rfac, t1, t2, ximag, xreal ;
int chev, col, ii, jj, jrhs, off, row ;
rfac = alpha[0] ; ifac = alpha[1] ;
if ( INPMTX_IS_BY_ROWS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec1[ii] ; col = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal - aimag*ximag ;
y[2*row+1] += areal*ximag + aimag*xreal ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
y[2*col] += areal*xreal - aimag*ximag ;
y[2*col+1] += areal*ximag + aimag*xreal ;
}
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec1[ii] ; col = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal - aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
y[2*col] += rfac*(areal*xreal - aimag*ximag) ;
y[2*col+1] += rfac*(areal*ximag + aimag*xreal) ;
}
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec1[ii] ; col = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*col] += rfac*t1 - ifac*t2 ;
y[2*col+1] += rfac*t2 + ifac*t1 ;
}
}
}
} else if ( INPMTX_IS_BY_COLUMNS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec1[ii] ; row = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal - aimag*ximag ;
y[2*row+1] += areal*ximag + aimag*xreal ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
y[2*col] += areal*xreal - aimag*ximag ;
y[2*col+1] += areal*ximag + aimag*xreal ;
}
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec1[ii] ; row = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal - aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
y[2*col] += rfac*(areal*xreal - aimag*ximag) ;
y[2*col+1] += rfac*(areal*ximag + aimag*xreal) ;
}
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec1[ii] ; row = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*col] += rfac*t1 - ifac*t2 ;
y[2*col+1] += rfac*t2 + ifac*t1 ;
}
}
}
} else if ( INPMTX_IS_BY_CHEVRONS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal - aimag*ximag ;
y[2*row+1] += areal*ximag + aimag*xreal ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
y[2*col] += areal*xreal - aimag*ximag ;
y[2*col+1] += areal*ximag + aimag*xreal ;
}
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal - aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
y[2*col] += rfac*(areal*xreal - aimag*ximag) ;
y[2*col+1] += rfac*(areal*ximag + aimag*xreal) ;
}
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*col] += rfac*t1 - ifac*t2 ;
y[2*col+1] += rfac*t2 + ifac*t1 ;
}
}
}
}
}
return ; }
/*--------------------------------------------------------------------*/
/*
----------------------------------------
purpose -- to compute Y := Y + alpha*A*X
where A is hermitian
created -- 98may02, cca
----------------------------------------
*/
void
InpMtx_herm_mmmVector (
InpMtx *A,
double y[],
double alpha[],
double x[]
) {
int nent ;
int *ivec1, *ivec2 ;
double *dvec ;
/*
---------------
check the input
---------------
*/
if ( A == NULL || y == NULL || alpha == NULL || x == NULL ) {
fprintf(stderr,
"\n fatal error in InpMtx_herm_mmmVector(%p,%p,%p,%p)"
"\n bad input\n", A, y, alpha, x) ;
exit(-1) ;
}
if ( ! INPMTX_IS_COMPLEX_ENTRIES(A) ) {
fprintf(stderr,
"\n fatal error in InpMtx_herm_mmmVector(%p,%p,%p,%p)"
"\n bad inputMode %d for A\n", A, y, alpha, x, A->inputMode) ;
exit(-1) ;
}
/*
--------------------------------
data is stored as triples
(deal with vector storage later)
--------------------------------
*/
ivec1 = InpMtx_ivec1(A) ;
ivec2 = InpMtx_ivec2(A) ;
dvec = InpMtx_dvec(A) ;
if ( ivec1 == NULL || ivec2 == NULL || dvec == NULL ) {
fprintf(stderr,
"\n fatal error in InpMtx_herm_mmmVector(%p,%p,%p,%p)"
"\n ivec1 %p, ivec2 %p, dvec %p\n",
A, y, alpha, x, ivec1, ivec2, dvec) ;
exit(-1) ;
}
nent = A->nent ;
if ( INPMTX_IS_COMPLEX_ENTRIES(A) ) {
double aimag, areal, ifac, rfac, t1, t2, ximag, xreal ;
int chev, col, ii, jj, jrhs, off, row ;
rfac = alpha[0] ; ifac = alpha[1] ;
if ( INPMTX_IS_BY_ROWS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec1[ii] ; col = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal - aimag*ximag ;
y[2*row+1] += areal*ximag + aimag*xreal ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
y[2*col] += areal*xreal + aimag*ximag ;
y[2*col+1] += areal*ximag - aimag*xreal ;
}
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec1[ii] ; col = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal - aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
y[2*col] += rfac*(areal*xreal + aimag*ximag) ;
y[2*col+1] += rfac*(areal*ximag - aimag*xreal) ;
}
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
row = ivec1[ii] ; col = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
t1 = areal*xreal + aimag*ximag ;
t2 = areal*ximag - aimag*xreal ;
y[2*col] += rfac*t1 - ifac*t2 ;
y[2*col+1] += rfac*t2 + ifac*t1 ;
}
}
}
} else if ( INPMTX_IS_BY_COLUMNS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec1[ii] ; row = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal - aimag*ximag ;
y[2*row+1] += areal*ximag + aimag*xreal ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
y[2*col] += areal*xreal + aimag*ximag ;
y[2*col+1] += areal*ximag - aimag*xreal ;
}
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec1[ii] ; row = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal - aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
y[2*col] += rfac*(areal*xreal + aimag*ximag) ;
y[2*col+1] += rfac*(areal*ximag - aimag*xreal) ;
}
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
col = ivec1[ii] ; row = ivec2[ii] ;
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
t1 = areal*xreal + aimag*ximag ;
t2 = areal*ximag - aimag*xreal ;
y[2*col] += rfac*t1 - ifac*t2 ;
y[2*col+1] += rfac*t2 + ifac*t1 ;
}
}
}
} else if ( INPMTX_IS_BY_CHEVRONS(A) ) {
if ( rfac == 1.0 && ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += areal*xreal - aimag*ximag ;
y[2*row+1] += areal*ximag + aimag*xreal ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
y[2*col] += areal*xreal + aimag*ximag ;
y[2*col+1] += areal*ximag - aimag*xreal ;
}
}
} else if ( ifac == 0.0 ) {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
y[2*row] += rfac*(areal*xreal - aimag*ximag) ;
y[2*row+1] += rfac*(areal*ximag + aimag*xreal) ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
y[2*col] += rfac*(areal*xreal + aimag*ximag) ;
y[2*col+1] += rfac*(areal*ximag - aimag*xreal) ;
}
}
} else {
for ( ii = jj = 0 ; ii < nent ; ii++, jj += 2 ) {
chev = ivec1[ii] ; off = ivec2[ii] ;
if ( off >= 0 ) {
row = chev ; col = chev + off ;
} else {
col = chev ; row = chev - off ;
}
areal = dvec[jj] ; aimag = dvec[jj+1] ;
xreal = x[2*col] ; ximag = x[2*col+1] ;
t1 = areal*xreal - aimag*ximag ;
t2 = areal*ximag + aimag*xreal ;
y[2*row] += rfac*t1 - ifac*t2 ;
y[2*row+1] += rfac*t2 + ifac*t1 ;
if ( row != col ) {
xreal = x[2*row] ; ximag = x[2*row+1] ;
t1 = areal*xreal + aimag*ximag ;
t2 = areal*ximag - aimag*xreal ;
y[2*col] += rfac*t1 - ifac*t2 ;
y[2*col+1] += rfac*t2 + ifac*t1 ;
}
}
}
}
}
return ; }
/*--------------------------------------------------------------------*/
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