#include "BSprivate.h"
/*@ BSforward - Forward triangular matrix multiplication on a single vector
Input Parameters:
. A - The sparse matrix
. x - The rhs
. comm - The communication structure for A
. procinfo - the usual processor information
Output Parameters:
. b - on exit contains A*x
Returns:
void
@*/
void BSforward(BSpar_mat *A, FLOAT *x, FLOAT *b,
BScomm *comm, BSprocinfo *procinfo)
{
BMphase *to_phase, *from_phase;
BMmsg *msg;
int i, j, k;
int cl_ind, in_ind, symmetric;
int count, size, ind, num_cols;
int *row;
FLOAT *nz;
BScl_2_inode *clique2inode;
BSnumbering *color2clique;
BSinode *inodes;
int *data_ptr, msg_len;
FLOAT *msg_buf, *matrix;
FLOAT *work;
char UP = 'L';
char TR = 'N';
char ND = 'N';
int ione = 1;
FLOAT one = 1.0;
FLOAT zero = 0.0;
/* Is the symmetric data structure used? */
symmetric = A->icc_storage;
color2clique = A->color2clique;
clique2inode = A->clique2inode;
inodes = A->inodes->list;
/* get some work space */
MY_MALLOC(work,(FLOAT *),sizeof(FLOAT)*A->num_rows,1);
/* post for all messages */
BMinit_comp_msg(comm->from_msg,procinfo); CHKERR(0);
if(symmetric) {
if (A->save_diag == NULL) {
/* because we know the diagonal is ones, initialize b to x */
for (i=0;i<A->num_rows;i++) b[i] = x[i];
} else {
for (i=0;i<A->num_rows;i++) b[i] = A->save_diag[i]*x[i];
}
} else {
/* The following part is modified (ILU) for nonsymmetric version */
for (i=0;i<color2clique->length-1;i++) {
for (cl_ind=color2clique->numbers[i];
cl_ind<color2clique->numbers[i+1];cl_ind++) {
if (procinfo->my_id == clique2inode->proc[cl_ind]) {
size = clique2inode->d_mats[cl_ind].size;
ind = clique2inode->d_mats[cl_ind].local_ind;
matrix = clique2inode->d_mats[cl_ind].matrix;
/* Much simplied in the case of ILU */
if (size > 1) {
DGEMV(&TR,&size,&size,&one,matrix,&size,
&(x[ind]),&ione,&zero,&(b[ind]),&ione);
} else if (size == 1) {
if (A->scale_diag == NULL)
b[ind] = A->diag[ind]*x[ind];
else
if (A->diag[ind] > 0.0)
b[ind] = x[ind];
else if (A->diag[ind] < 0.0)
b[ind] = -x[ind];
else
b[ind] = 0.0;
}
}
}
}
}
/* first send my messages */
for (i=0;i<color2clique->length-1;i++) {
to_phase = BMget_phase(comm->to_msg,i); CHKERR(0);
msg = NULL;
while ((msg = BMnext_msg(to_phase,msg)) != NULL) {
CHKERR(0);
msg_buf = (FLOAT *) BMget_msg_ptr(msg); CHKERR(0);
data_ptr = BMget_user(msg,&msg_len); CHKERR(0);
for (j=0;j<msg_len;j++) {
msg_buf[j] = x[data_ptr[j]];
}
BMsendf_msg(msg,procinfo); CHKERR(0);
}
CHKERR(0);
}
/* do some local work */
for (i=0;i<color2clique->length-1;i++) {
for (cl_ind=color2clique->numbers[i];
cl_ind<color2clique->numbers[i+1];cl_ind++) {
ind = clique2inode->d_mats[cl_ind].local_ind;
if (procinfo->my_id == clique2inode->proc[cl_ind]) {
if(symmetric) {
/* first, multiply the clique */
/* only do the strictly lower triangular part */
/* we ASSUME the diagonal is all 1's */
size = clique2inode->d_mats[cl_ind].size;
matrix = clique2inode->d_mats[cl_ind].matrix;
if (size > 1) {
j = size-1;
matrix++;
#ifdef MY_BLAS_DTRMV_ON
MY_DTRMV_N_L(j,matrix,size,&(x[ind]),&(b[ind+1]));
#else
DCOPY(&j,&(x[ind]),&ione,work,&ione);
DTRMV(&UP,&TR,&ND,&j,matrix,&size,work,&ione);
DAXPY(&j,&one,work,&ione,&(b[ind+1]),&ione);
#endif
}
}
/* now, multiply the inodes */
for (in_ind=clique2inode->inode_index[cl_ind];
in_ind<clique2inode->inode_index[cl_ind+1];in_ind++) {
row = inodes[in_ind].row_num;
nz = inodes[in_ind].nz;
size = inodes[in_ind].length;
num_cols = inodes[in_ind].num_cols;
if (size > 0) {
#ifdef MY_BLAS_DGEMV_ON
if (num_cols > DGEMV_UNROLL_LVL) {
DGEMV(&TR,&size,&num_cols,&one,
nz,&size,&(x[ind]),&ione,&zero,work,&ione);
for (k=0;k<size;k++) b[row[k]] += work[k];
} else {
MY_DGEMV_N_1111(size,num_cols,nz,size,&(x[ind]),b,row);
}
#else
DGEMV(&TR,&size,&num_cols,&one,
nz,&size,&(x[ind]),&ione,&zero,work,&ione);
for (k=0;k<size;k++) b[row[k]] += work[k];
#endif
}
ind += num_cols;
}
}
}
}
/* receive my messages and do non-local work */
for (i=0;i<color2clique->length-1;i++) {
from_phase = BMget_phase(comm->from_msg,i); CHKERR(0);
while ((msg = BMrecv_msg(from_phase)) != NULL) {
CHKERR(0);
msg_buf = (FLOAT *) BMget_msg_ptr(msg); CHKERR(0);
data_ptr = BMget_user(msg,&msg_len); CHKERR(0);
count = 0;
for (cl_ind=data_ptr[0];cl_ind<=data_ptr[1];cl_ind++) {
for (in_ind=clique2inode->inode_index[cl_ind];
in_ind<clique2inode->inode_index[cl_ind+1];in_ind++) {
row = inodes[in_ind].row_num;
nz = inodes[in_ind].nz;
size = inodes[in_ind].length;
num_cols = inodes[in_ind].num_cols;
if (size > 0) {
#ifdef MY_BLAS_DGEMV_ON
if (num_cols > DGEMV_UNROLL_LVL) {
DGEMV(&TR,&size,&num_cols,&one,
nz,&size,&(msg_buf[count]),&ione,&zero,work,&ione);
for (k=0;k<size;k++) b[row[k]] += work[k];
} else {
MY_DGEMV_N_1111(size,num_cols,nz,size,&(msg_buf[count]),
b,row);
}
#else
DGEMV(&TR,&size,&num_cols,&one,
nz,&size,&(msg_buf[count]),&ione,&zero,work,&ione);
for (k=0;k<size;k++) b[row[k]] += work[k];
#endif
}
count += num_cols;
}
}
BMfree_msg(msg); CHKERR(0);
}
CHKERR(0);
}
MY_FREE(work);
/* wait for all of the sent messages to finish */
BMfinish_comp_msg(comm->to_msg,procinfo); CHKERR(0);
if(symmetric) {
MLOG_flop((2*A->local_nnz));
} else {
MLOG_flop((4*A->local_nnz-2*A->num_rows));
}
}
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