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/* DenseMtx_mmm.c */
#include "../Iter.h"
/*--------------------------------------------------------------------*/
/*
-------------------------------------------
performs the matrix-matrix operations
C = beta*C + alpha*(A)*(B)
A, B and C must be column major.
Parameters ---
A_opt -- form of op( A ) to be used
= 'N' or 'n', op( A ) = A.
= 'T' or 't', op( A ) = A'.
= 'C' or 'c', op( A ) = A*.
B_opt -- form of op( B ) to be used
= 'N' or 'n', op( B ) = B.
= 'T' or 't', op( B ) = B'.
= 'C' or 'c', op( B ) = B*.
return values ---
1 -- normal return
-1 -- C, A, B, alpha or beta is NULL
-2 -- type of A, B or C are invalid
-3 -- row or column of A and B is not match
-4 -- invalid option for A or B
created -- 98dec11, ycp
-------------------------------------------
*/
int DenseMtx_mmm(
char *A_opt,
char *B_opt,
double *beta,
DenseMtx *mtxC,
double *alpha,
DenseMtx *mtxA,
DenseMtx *mtxB
)
{
int nrowA, ncolA, rowincA, colincA;
int nrowB, ncolB, rowincB, colincB;
int nrowC, ncolC, rowincC, colincC;
int ierr, i, k, j, l;
double *Ai, *Bj, *Ci, r_alpha, r_beta, r_temp, im_temp, im_alpha, im_beta;
double one[2]={1.0, 0.0}, zero[2]={0.0, 0.0}, aconj[2], bconj[2] ;
double temp[2]={0.0, 0.0}, result[2]={1.0, 0.0} ;
if ( beta == NULL || alpha == NULL || mtxC == NULL ||
mtxA == NULL || mtxB == NULL ){
fprintf(stderr, "\n fatal error in Input"
"\n one or more of beta, alpha, mtxC, mtxB and"
" mtxA is NULL\n") ;
return(-1) ;
}
if ( (DENSEMTX_IS_REAL(mtxA) != DENSEMTX_IS_REAL(mtxB)) ||
(DENSEMTX_IS_REAL(mtxA) != DENSEMTX_IS_REAL(mtxC)) ){
fprintf(stderr,"mtxA, mtxB and mtxC do not have the same data type\n");
return(-2);
}
DenseMtx_dimensions(mtxA, &nrowA, &ncolA);
DenseMtx_dimensions(mtxB, &nrowB, &ncolB);
DenseMtx_dimensions(mtxC, &nrowC, &ncolC);
rowincA=DenseMtx_rowIncrement(mtxA);
colincA=DenseMtx_columnIncrement(mtxA);
rowincB=DenseMtx_rowIncrement(mtxB);
colincB=DenseMtx_columnIncrement(mtxB);
rowincC=DenseMtx_rowIncrement(mtxC);
colincC=DenseMtx_columnIncrement(mtxC);
r_alpha=*alpha;
r_beta =*beta;
r_temp =*temp;
if ( B_opt[0] == 'N' || B_opt[0] == 'n' ){
if (A_opt[0] == 'N' || A_opt[0] == 'n'){/*Form C := beta*c+alpha*A*B*/
if (ncolA != nrowB || nrowC != nrowA || ncolC != ncolB) {
fprintf(stderr,"Error in Input DenseMtx_mmm\n");
return(-3);
}
} else if ( (A_opt[0] == 'T' || A_opt[0] == 't') ||
(A_opt[0] == 'C' || A_opt[0] == 'c') ){
if (nrowA != nrowB || nrowC != ncolA || ncolC != ncolB) {
fprintf(stderr,"Error in Input DenseMtx_mmm\n");
exit(-3);
}
} else {
fprintf(stderr,"Invalid option for mtxA\n");
return(-4);
}
} else if ( (B_opt[0] == 'T' || B_opt[0] == 't') ||
(B_opt[0] == 'C' || B_opt[0] == 'c') ){
if (A_opt[0] == 'N' || A_opt[0] == 'n'){
if (ncolA != ncolB || nrowC != nrowA || ncolC != nrowB) {
fprintf(stderr,"Error in Input DenseMtx_mmm\n");
return(-3);
}
} else if ( (A_opt[0] == 'T' || A_opt[0] == 't') ||
(A_opt[0] == 'C' || A_opt[0] == 'c') ){
if (nrowA != ncolB || nrowC != ncolA || ncolC != nrowB) {
fprintf(stderr,"Error in Input DenseMtx_mmm\n");
return(-3);
}
} else {
fprintf(stderr,"Invalid option for mtxA\n");
return(-4);
}
} else {
fprintf(stderr,"Invalid option for mtxB\n");
return(-4);
}
if (DENSEMTX_IS_REAL(mtxA)) {
if ( r_alpha == *zero ) {
if( r_beta == *zero ) {
DenseMtx_zero (mtxC);
} else {
DenseMtx_scale(mtxC,&r_beta);
}
return(1);
}
if ( B_opt[0] == 'N' || B_opt[0] == 'n' ){
if (A_opt[0] == 'N' || A_opt[0] == 'n'){/*Form C := beta*c+alpha*A*B*/
for (i=0; i<nrowA; i++){
ierr=DenseMtx_row(mtxA, i, &Ai);
ierr=DenseMtx_row(mtxC, i, &Ci);
for (j=0; j<ncolB; j++){
ierr=DenseMtx_column(mtxB, j, &Bj);
r_temp = 0.0;
for (k=0; k<ncolA; k++){
r_temp += Ai[k*colincA]*Bj[k*rowincB];
}
if( r_beta == *zero ){
Ci[j*colincC] = r_alpha*r_temp;
} else {
Ci[j*colincC] = r_alpha*r_temp + r_beta*Ci[j*colincC];
}
}
}
} else {/* Form C := alpha*AT*B + beta*C. */
for (i=0; i<ncolA; i++){
ierr=DenseMtx_column(mtxA, i, &Ai);
ierr=DenseMtx_row(mtxC, i, &Ci);
for (j=0; j<ncolB; j++){
ierr=DenseMtx_column(mtxB, j, &Bj);
r_temp = 0.0;
for (k=0; k<nrowA; k++){
r_temp += Ai[k*rowincA]*Bj[k*rowincB];
}
if( r_beta == *zero ){
Ci[j*colincC] = r_alpha*r_temp;
} else {
Ci[j*colincC] = r_alpha*r_temp + r_beta*Ci[j*colincC];
}
}
}
}
} else {
if (A_opt[0] == 'N' || A_opt[0] == 'n'){/*Form C := alpha*A*B'+beta*C */
for (i=0; i<nrowA; i++){
ierr=DenseMtx_row(mtxA, i, &Ai);
ierr=DenseMtx_row(mtxC, i, &Ci);
for (j=0; j<nrowB; j++){
ierr=DenseMtx_row(mtxB, j, &Bj);
r_temp = 0.0;
for (k=0; k<ncolA; k++){
r_temp += Ai[k*colincA]*Bj[k*colincB];
}
if( r_beta == *zero ){
Ci[j*colincC] = r_alpha*r_temp;
} else {
Ci[j*colincC] = r_alpha*r_temp + r_beta*Ci[j*colincC];
}
}
}
} else { /* Form C := alpha*A'*B' + beta*C */
for (i=0; i<ncolA; i++){
ierr=DenseMtx_column(mtxA, i, &Ai);
ierr=DenseMtx_row(mtxC, i, &Ci);
for (j=0; j<nrowB; j++){
ierr=DenseMtx_row(mtxB, j, &Bj);
r_temp = 0.0;
for (k=0; k<nrowA; k++){
r_temp += Ai[k*rowincA]*Bj[k*colincB];
}
if( r_beta == *zero ){
Ci[j*colincC] = r_alpha*r_temp;
} else {
Ci[j*colincC] = r_alpha*r_temp + r_beta*Ci[j*colincC];
}
}
}
}
}
} else { /* complex case */
rowincA *= 2;
rowincB *= 2;
rowincC *= 2;
colincA *= 2;
colincB *= 2;
colincC *= 2;
im_alpha=*(alpha+1);
im_beta =*(beta+1);
im_temp =*(temp+1);
if ( r_alpha == *zero && im_alpha == *zero ) {
if( r_beta == *zero && im_beta == *zero ) {
DenseMtx_zero (mtxC);
} else {
DenseMtx_scale(mtxC,beta);
}
return(1);
}
if ( B_opt[0] == 'N' || B_opt[0] == 'n' ){
if (A_opt[0] == 'N' || A_opt[0] == 'n'){/*Form C := beta*c+alpha*A*B*/
for (i=0; i<nrowA; i++){
ierr=DenseMtx_row(mtxA, i, &Ai);
ierr=DenseMtx_row(mtxC, i, &Ci);
for (j=0; j<ncolB; j++){
temp[0] = 0.0;
temp[1] = 0.0;
ierr=DenseMtx_column(mtxB, j, &Bj);
for (k=0; k<ncolA; k++){
zmul(&Ai[k*colincA],&Bj[k*rowincB],result);
zadd(temp,result,temp);
}
if( r_beta == *zero && im_beta == *zero ){
zmul(alpha,temp,&Ci[j*colincC]);
} else {
zmul(beta,&Ci[j*colincC],&Ci[j*colincC]);
zmul(alpha,temp,temp);
zadd(temp,&Ci[j*colincC],&Ci[j*colincC]);
}
}
}
} else {/* Form C := alpha*AT*B + beta*C. */
for (i=0; i<ncolA; i++){
ierr=DenseMtx_column(mtxA, i, &Ai);
ierr=DenseMtx_row(mtxC, i, &Ci);
for (j=0; j<ncolB; j++){
ierr=DenseMtx_column(mtxB, j, &Bj);
temp[0] = 0.0;
temp[1] = 0.0;
for (k=0; k<nrowA; k++){
if (A_opt[0] == 'C' || A_opt[0] == 'c'){
/* Form C := alpha*conjg( A')*B + beta*C. */
aconj[0] = Ai[k*rowincA];
aconj[1] = -Ai[k*rowincA+1];
zmul(aconj,&Bj[k*rowincB],result);
} else {
zmul(&Ai[k*rowincA],&Bj[k*rowincB],result);
}
zadd(temp,result,temp);
}
if( r_beta == *zero ){
zmul(alpha,temp,&Ci[j*colincC]);
} else {
zmul(alpha,temp,temp);
zmul(beta,&Ci[j*colincC],&Ci[j*colincC]);
zadd(temp,&Ci[j*colincC],&Ci[j*colincC]);
}
}
}
}
} else if ( B_opt[0] == 'T' || B_opt[0] == 'T' ){
if (A_opt[0] == 'N' || A_opt[0] == 'n'){/*Form C := alpha*A*B'+beta*C */
for (i=0; i<nrowA; i++){
ierr=DenseMtx_row(mtxA, i, &Ai);
ierr=DenseMtx_row(mtxC, i, &Ci);
for (j=0; j<nrowB; j++){
ierr=DenseMtx_row(mtxB, j, &Bj);
temp[0] = 0.0;
temp[1] = 0.0;
for (k=0; k<ncolA; k++){
zmul(&Ai[k*colincA],&Bj[k*colincB],result);
zadd(temp,result,temp);
}
if( r_beta == *zero ){
zmul(alpha,temp,&Ci[j*colincC]);
} else {
zmul(alpha,temp,temp);
zmul(beta,&Ci[j*colincC],&Ci[j*colincC]);
zadd(temp,&Ci[j*colincC],&Ci[j*colincC]);
}
}
}
} else { /* Form C := alpha*A'*B' + beta*C */
for (i=0; i<ncolA; i++){
ierr=DenseMtx_column(mtxA, i, &Ai);
ierr=DenseMtx_row(mtxC, i, &Ci);
for (j=0; j<nrowB; j++){
ierr=DenseMtx_row(mtxB, j, &Bj);
temp[0] = 0.0;
temp[1] = 0.0;
for (k=0; k<nrowA; k++){
if (A_opt[0] == 'C' || A_opt[0] == 'c'){
/* Form C := alpha*conjg( A')*B' + beta*C. */
aconj[0] = Ai[k*rowincA];
aconj[1] = (-1)*Ai[k*rowincA+1];
zmul(aconj,&Bj[k*rowincB],result);
} else {
zmul(&Ai[k*rowincA],&Bj[k*rowincB],result);
}
zadd(temp,result,temp);
}
if( r_beta == *zero ){
zmul(alpha,temp,&Ci[j*colincC]);
} else {
zmul(alpha,temp,temp);
zmul(beta,&Ci[j*colincC],&Ci[j*colincC]);
zadd(temp,&Ci[j*colincC],&Ci[j*colincC]);
}
}
}
}
} else {
if (A_opt[0] == 'N' || A_opt[0] == 'n'){
/*Form C := alpha*A*conjg(B')+beta*C */
for (i=0; i<nrowA; i++){
ierr=DenseMtx_row(mtxA, i, &Ai);
ierr=DenseMtx_row(mtxC, i, &Ci);
for (j=0; j<nrowB; j++){
ierr=DenseMtx_row(mtxB, j, &Bj);
temp[0] = 0.0;
temp[1] = 0.0;
for (k=0; k<ncolA; k++){
bconj[0] = Bj[k*colincB];
bconj[1] = -Bj[k*colincB+1];
zmul(&Ai[k*colincA],bconj,result);
zadd(temp,result,temp);
}
if( r_beta == *zero ){
zmul(alpha,temp,&Ci[j*colincC]);
} else {
zmul(alpha,temp,temp);
zmul(beta,&Ci[j*colincC],&Ci[j*colincC]);
zadd(temp,&Ci[j*colincC],&Ci[j*colincC]);
}
}
}
} else { /* Form C := alpha*A'*conjg(B') + beta*C */
for (i=0; i<ncolA; i++){
ierr=DenseMtx_column(mtxA, i, &Ai);
ierr=DenseMtx_row(mtxC, i, &Ci);
for (j=0; j<nrowB; j++){
ierr=DenseMtx_row(mtxB, j, &Bj);
temp[0] = 0.0;
temp[1] = 0.0;
for (k=0; k<nrowA; k++){
bconj[0] = Bj[k*colincB];
bconj[1] = -Bj[k*colincB+1];
if (A_opt[0] == 'C' || A_opt[0] == 'c'){
/* Form C := alpha*conjg( A')*conjg(B') + beta*C. */
aconj[0] = Ai[k*rowincA];
aconj[1] = -Ai[k*rowincA+1];
zmul(aconj,bconj,result);
} else {
zmul(&Ai[k*rowincA],bconj,result);
}
zadd(temp,result,temp);
}
if( r_beta == *zero ){
zmul(alpha,temp,&Ci[j*colincC]);
} else {
zmul(alpha,temp,temp);
zmul(beta,&Ci[j*colincC],&Ci[j*colincC]);
zadd(temp,&Ci[j*colincC],&Ci[j*colincC]);
}
}
}
}
}
}
return(1); }
|
