magma_int_t
magma_dmLdiagadd(
magma_d_matrix *L,
magma_queue_t queue )
{
magma_int_t info = 0;
magma_d_matrix LL={Magma_CSR};
if( L->row[1]==1 ){ // lower triangular with unit diagonal
//printf("L lower triangular.\n");
LL.diagorder_type = Magma_UNITY;
CHECK( magma_dmconvert( *L, &LL, Magma_CSR, Magma_CSRL, queue ));
}
else if( L->row[1]==0 ){ // strictly lower triangular
//printf("L strictly lower triangular.\n");
CHECK( magma_dmtransfer( *L, &LL, Magma_CPU, Magma_CPU, queue ));
magma_free_cpu( LL.col );
magma_free_cpu( LL.val );
LL.nnz = L->nnz+L->num_rows;
CHECK( magma_dmalloc_cpu( &LL.val, LL.nnz ));
CHECK( magma_index_malloc_cpu( &LL.col, LL.nnz ));
magma_int_t z=0;
for( magma_int_t i=0; i<L->num_rows; i++){
LL.row[i] = z;
for( magma_int_t j=L->row[i]; j<L->row[i+1]; j++){
LL.val[z] = L->val[j];
LL.col[z] = L->col[j];
z++;
}
// add unit diagonal
LL.val[z] = MAGMA_D_MAKE(1.0, 0.0);
LL.col[z] = i;
z++;
}
LL.row[LL.num_rows] = z;
LL.nnz = z;
}
else{
printf("error: L neither lower nor strictly lower triangular!\n");
}
magma_dmfree( L, queue );
CHECK( magma_dmtransfer(LL, L, Magma_CPU, Magma_CPU, queue ));
cleanup:
if( info != 0 ){
magma_dmfree( L, queue );
}
magma_dmfree( &LL, queue );
return info;
}
magma_int_t
magma_dprint_vector(
magma_d_matrix x,
magma_int_t offset,
magma_int_t visulen,
magma_queue_t queue )
{
magma_int_t info = 0;
magma_d_matrix y={Magma_CSR};
//**************************************************************
#define REAL
double c_zero = MAGMA_D_ZERO;
#ifdef COMPLEX
#define magma_dprintval( tmp ) { \
if ( MAGMA_D_EQUAL( tmp, c_zero )) { \
printf( " 0. \n" ); \
} \
else { \
printf( " %8.4f+%8.4fi\n", \
MAGMA_D_REAL( tmp ), MAGMA_D_IMAG( tmp )); \
} \
}
#else
#define magma_dprintval( tmp ) { \
if ( MAGMA_D_EQUAL( tmp, c_zero )) { \
printf( " 0. \n" ); \
} \
else { \
printf( " %8.4f\n", MAGMA_D_REAL( tmp )); \
} \
}
#endif
//**************************************************************
printf("visualize entries %d - %d of vector ",
(int) offset, (int) (offset + visulen) );
fflush(stdout);
if ( x.memory_location == Magma_CPU ) {
printf("located on CPU:\n");
for( magma_int_t i=offset; i<offset + visulen; i++ )
magma_dprintval(x.val[i]);
}
else if ( x.memory_location == Magma_DEV ) {
printf("located on DEV:\n");
CHECK( magma_dmtransfer( x, &y, Magma_DEV, Magma_CPU, queue ));
for( magma_int_t i=offset; i<offset + visulen; i++ )
magma_dprintval(y.val[i]);
}
cleanup:
magma_free_cpu(y.val);
return info;
}
extern "C" magma_int_t
magma_dmshrink(
magma_d_matrix A,
magma_d_matrix *B,
magma_queue_t queue )
{
magma_int_t info = 0;
magma_d_matrix hA={Magma_CSR}, hACSR={Magma_CSR}, hB={Magma_CSR}, hBCSR={Magma_CSR};
if( A.num_rows<=A.num_cols){
if( A.memory_location == Magma_CPU && A.storage_type == Magma_CSR ){
CHECK( magma_dmconvert( A, B, Magma_CSR, Magma_CSR, queue ));
for(magma_int_t i=0; i<A.nnz; i++){
if( B->col[i] >= A.num_rows ){
B->val[i] = MAGMA_D_ZERO;
}
}
CHECK( magma_dmcsrcompressor( B, queue ) );
B->num_cols = B->num_rows;
} else {
CHECK( magma_dmtransfer( A, &hA, A.memory_location, Magma_CPU, queue ));
CHECK( magma_dmconvert( hA, &hACSR, A.storage_type, Magma_CSR, queue ));
CHECK( magma_dmshrink( hACSR, &hBCSR, queue ));
CHECK( magma_dmconvert( hBCSR, &hB, Magma_CSR, A.storage_type, queue ));
CHECK( magma_dmtransfer( hB, B, Magma_CPU, A.memory_location, queue ));
}
} else {
printf("%% error: A has too many rows: m > n.\n");
info = MAGMA_ERR_NOT_SUPPORTED;
goto cleanup;
}
cleanup:
magma_dmfree( &hA, queue );
magma_dmfree( &hB, queue );
magma_dmfree( &hACSR, queue );
magma_dmfree( &hBCSR, queue );
return info;
}
extern "C" magma_int_t
magma_dmdiagadd(
magma_d_matrix *A,
double add,
magma_queue_t queue )
{
magma_int_t info = 0;
magma_d_matrix hA={Magma_CSR}, CSRA={Magma_CSR};
if ( A->memory_location == Magma_CPU && A->storage_type == Magma_CSRCOO ) {
for( magma_int_t z=0; z<A->nnz; z++ ) {
if ( A->col[z]== A->rowidx[z] ) {
// add some identity matrix
A->val[z] = A->val[z] + add;
}
}
}
else {
magma_storage_t A_storage = A->storage_type;
magma_location_t A_location = A->memory_location;
CHECK( magma_dmtransfer( *A, &hA, A->memory_location, Magma_CPU, queue ));
CHECK( magma_dmconvert( hA, &CSRA, hA.storage_type, Magma_CSRCOO, queue ));
CHECK( magma_dmdiagadd( &CSRA, add, queue ));
magma_dmfree( &hA, queue );
magma_dmfree( A, queue );
CHECK( magma_dmconvert( CSRA, &hA, Magma_CSRCOO, A_storage, queue ));
CHECK( magma_dmtransfer( hA, A, Magma_CPU, A_location, queue ));
}
cleanup:
magma_dmfree( &hA, queue );
magma_dmfree( &CSRA, queue );
return info;
}
magma_int_t
magma_dvget_dev(
magma_d_matrix v,
magma_int_t *m, magma_int_t *n,
magmaDouble_ptr *val,
magma_queue_t queue )
{
magma_int_t info =0;
magma_d_matrix v_DEV={Magma_CSR};
if ( v.memory_location == Magma_DEV ) {
*m = v.num_rows;
*n = v.num_cols;
*val = v.dval;
} else {
CHECK( magma_dmtransfer( v, &v_DEV, v.memory_location, Magma_DEV, queue ));
CHECK( magma_dvget_dev( v_DEV, m, n, val, queue ));
}
cleanup:
magma_dmfree( &v_DEV, queue );
return info;
}
magma_int_t
magma_d_csr_mtx(
magma_d_matrix *A,
const char *filename,
magma_queue_t queue )
{
char buffer[ 1024 ];
magma_int_t info = 0;
int csr_compressor = 0; // checks for zeros in original file
magma_d_matrix B={Magma_CSR};
magma_index_t *coo_col = NULL;
magma_index_t *coo_row = NULL;
double *coo_val = NULL;
double *new_val = NULL;
magma_index_t* new_row = NULL;
magma_index_t* new_col = NULL;
magma_int_t symmetric = 0;
std::vector< std::pair< magma_index_t, double > > rowval;
FILE *fid = NULL;
MM_typecode matcode;
fid = fopen(filename, "r");
if (fid == NULL) {
printf("%% Unable to open file %s\n", filename);
info = MAGMA_ERR_NOT_FOUND;
goto cleanup;
}
printf("%% Reading sparse matrix from file (%s):", filename);
fflush(stdout);
if (mm_read_banner(fid, &matcode) != 0) {
printf("\n%% Could not process Matrix Market banner: %s.\n", matcode);
info = MAGMA_ERR_NOT_SUPPORTED;
goto cleanup;
}
if (!mm_is_valid(matcode)) {
printf("\n%% Invalid Matrix Market file.\n");
info = MAGMA_ERR_NOT_SUPPORTED;
goto cleanup;
}
if ( ! ( ( mm_is_real(matcode) ||
mm_is_integer(matcode) ||
mm_is_pattern(matcode) ||
mm_is_real(matcode) ) &&
mm_is_coordinate(matcode) &&
mm_is_sparse(matcode) ) )
{
mm_snprintf_typecode( buffer, sizeof(buffer), matcode );
printf("\n%% Sorry, MAGMA-sparse does not support Market Market type: [%s]\n", buffer );
printf("%% Only real-valued or pattern coordinate matrices are supported.\n");
info = MAGMA_ERR_NOT_SUPPORTED;
goto cleanup;
}
magma_index_t num_rows, num_cols, num_nonzeros;
if (mm_read_mtx_crd_size(fid, &num_rows, &num_cols, &num_nonzeros) != 0) {
info = MAGMA_ERR_UNKNOWN;
goto cleanup;
}
A->storage_type = Magma_CSR;
A->memory_location = Magma_CPU;
A->num_rows = num_rows;
A->num_cols = num_cols;
A->nnz = num_nonzeros;
A->fill_mode = MagmaFull;
CHECK( magma_index_malloc_cpu( &coo_col, A->nnz ) );
CHECK( magma_index_malloc_cpu( &coo_row, A->nnz ) );
CHECK( magma_dmalloc_cpu( &coo_val, A->nnz ) );
if (mm_is_real(matcode) || mm_is_integer(matcode)) {
for(magma_int_t i = 0; i < A->nnz; ++i) {
magma_index_t ROW, COL;
double VAL; // always read in a double and convert later if necessary
fscanf(fid, " %d %d %lf \n", &ROW, &COL, &VAL);
if ( VAL == 0 )
csr_compressor = 1;
coo_row[i] = ROW - 1;
coo_col[i] = COL - 1;
coo_val[i] = MAGMA_D_MAKE( VAL, 0.);
}
} else if (mm_is_pattern(matcode) ) {
for(magma_int_t i = 0; i < A->nnz; ++i) {
magma_index_t ROW, COL;
fscanf(fid, " %d %d \n", &ROW, &COL );
coo_row[i] = ROW - 1;
coo_col[i] = COL - 1;
coo_val[i] = MAGMA_D_MAKE( 1.0, 0.);
}
} else if (mm_is_real(matcode) ){
for(magma_int_t i = 0; i < A->nnz; ++i) {
magma_index_t ROW, COL;
double VAL, VALC; // always read in a double and convert later if necessary
fscanf(fid, " %d %d %lf %lf\n", &ROW, &COL, &VAL, &VALC);
coo_row[i] = ROW - 1;
coo_col[i] = COL - 1;
coo_val[i] = MAGMA_D_MAKE( VAL, VALC);
}
// printf(" ...successfully read real matrix... ");
} else {
printf("\n%% Unrecognized data type\n");
info = MAGMA_ERR_NOT_SUPPORTED;
goto cleanup;
}
fclose(fid);
fid = NULL;
printf(" done. Converting to CSR:");
fflush(stdout);
A->sym = Magma_GENERAL;
if( mm_is_symmetric(matcode) ) {
symmetric = 1;
}
if ( mm_is_symmetric(matcode) || mm_is_symmetric(matcode) ) {
// duplicate off diagonal entries
printf("\n%% Detected symmetric case.");
A->sym = Magma_SYMMETRIC;
magma_index_t off_diagonals = 0;
for(magma_int_t i = 0; i < A->nnz; ++i) {
if (coo_row[i] != coo_col[i])
++off_diagonals;
}
magma_index_t true_nonzeros = 2*off_diagonals + (A->nnz - off_diagonals);
//printf("%% total number of nonzeros: %d\n%%", int(A->nnz));
CHECK( magma_index_malloc_cpu( &new_row, true_nonzeros ));
CHECK( magma_index_malloc_cpu( &new_col, true_nonzeros ));
CHECK( magma_dmalloc_cpu( &new_val, true_nonzeros ));
magma_index_t ptr = 0;
for(magma_int_t i = 0; i < A->nnz; ++i) {
if (coo_row[i] != coo_col[i]) {
new_row[ptr] = coo_row[i];
new_col[ptr] = coo_col[i];
new_val[ptr] = coo_val[i];
ptr++;
new_col[ptr] = coo_row[i];
new_row[ptr] = coo_col[i];
new_val[ptr] = (symmetric == 0) ? coo_val[i] : conj(coo_val[i]);
ptr++;
} else {
new_row[ptr] = coo_row[i];
new_col[ptr] = coo_col[i];
new_val[ptr] = coo_val[i];
ptr++;
}
}
magma_free_cpu(coo_row);
magma_free_cpu(coo_col);
magma_free_cpu(coo_val);
coo_row = new_row;
coo_col = new_col;
coo_val = new_val;
A->nnz = true_nonzeros;
//printf("total number of nonzeros: %d\n", A->nnz);
} // end symmetric case
CHECK( magma_dmalloc_cpu( &A->val, A->nnz ));
CHECK( magma_index_malloc_cpu( &A->col, A->nnz ));
CHECK( magma_index_malloc_cpu( &A->row, A->num_rows+1 ));
// original code from Nathan Bell and Michael Garland
for (magma_index_t i = 0; i < num_rows; i++)
(A->row)[i] = 0;
for (magma_index_t i = 0; i < A->nnz; i++)
(A->row)[coo_row[i]]++;
// cumulative sum the nnz per row to get row[]
magma_int_t cumsum;
cumsum = 0;
for(magma_int_t i = 0; i < num_rows; i++) {
magma_index_t temp = (A->row)[i];
(A->row)[i] = cumsum;
cumsum += temp;
}
(A->row)[num_rows] = A->nnz;
// write Aj,Ax into Bj,Bx
for(magma_int_t i = 0; i < A->nnz; i++) {
magma_index_t row_ = coo_row[i];
magma_index_t dest = (A->row)[row_];
(A->col)[dest] = coo_col[i];
(A->val)[dest] = coo_val[i];
(A->row)[row_]++;
}
magma_free_cpu(coo_row);
magma_free_cpu(coo_col);
magma_free_cpu(coo_val);
coo_row = NULL;
coo_col = NULL;
coo_val = NULL;
int last;
last = 0;
for(int i = 0; i <= num_rows; i++) {
int temp = (A->row)[i];
(A->row)[i] = last;
last = temp;
}
(A->row)[A->num_rows] = A->nnz;
// sort column indices within each row
// copy into vector of pairs (column index, value), sort by column index, then copy back
for (magma_index_t k=0; k < A->num_rows; ++k) {
int kk = (A->row)[k];
int len = (A->row)[k+1] - (A->row)[k];
rowval.resize( len );
for( int i=0; i < len; ++i ) {
rowval[i] = std::make_pair( (A->col)[kk+i], (A->val)[kk+i] );
}
std::sort( rowval.begin(), rowval.end(), compare_first );
for( int i=0; i < len; ++i ) {
(A->col)[kk+i] = rowval[i].first;
(A->val)[kk+i] = rowval[i].second;
}
}
if ( csr_compressor > 0) { // run the CSR compressor to remove zeros
//printf("removing zeros: ");
CHECK( magma_dmtransfer( *A, &B, Magma_CPU, Magma_CPU, queue ));
CHECK( magma_d_csr_compressor(
&(A->val), &(A->row), &(A->col),
&B.val, &B.row, &B.col, &B.num_rows, queue ));
B.nnz = B.row[num_rows];
//printf(" remaining nonzeros:%d ", B.nnz);
magma_free_cpu( A->val );
magma_free_cpu( A->row );
magma_free_cpu( A->col );
CHECK( magma_dmtransfer( B, A, Magma_CPU, Magma_CPU, queue ));
//printf("done.\n");
}
A->true_nnz = A->nnz;
printf(" done.\n");
cleanup:
if ( fid != NULL ) {
fclose( fid );
fid = NULL;
}
magma_dmfree( &B, queue );
magma_free_cpu(coo_row);
magma_free_cpu(coo_col);
magma_free_cpu(coo_val);
return info;
}
magma_int_t
magma_dprint_matrix(
magma_d_matrix A,
magma_queue_t queue )
{
magma_int_t info = 0;
//**************************************************************
#define REAL
#ifdef COMPLEX
#define magma_dprintval( tmp ) { \
if ( MAGMA_D_EQUAL( tmp, c_zero )) { \
printf( " 0. " ); \
} \
else { \
printf( " %8.4f+%8.4fi", \
MAGMA_D_REAL( tmp ), MAGMA_D_IMAG( tmp )); \
} \
}
#else
#define magma_dprintval( tmp ) { \
if ( MAGMA_D_EQUAL( tmp, c_zero )) { \
printf( " 0. " ); \
} \
else { \
printf( " %8.4f", MAGMA_D_REAL( tmp )); \
} \
}
#endif
//**************************************************************
magma_index_t i, j, k;
double c_zero = MAGMA_D_ZERO;
magma_d_matrix C={Magma_CSR};
if ( A.memory_location == Magma_CPU ) {
printf("visualizing matrix of size %d x %d with %d nonzeros:\n",
int(A.num_rows), int(A.num_cols), int(A.nnz));
if ( A.storage_type == Magma_DENSE ) {
for( i=0; i < (A.num_rows); i++ ) {
for( j=0; j < A.num_cols; j++ ) {
magma_dprintval( A.val[i*(A.num_cols)+j] );
}
printf( "\n" );
}
}
else if( A.num_cols < 8 || A.num_rows < 8 ) {
CHECK( magma_dmconvert( A, &C, A.storage_type, Magma_DENSE, queue ));
CHECK( magma_dprint_matrix( C, queue ));
}
else if ( A.storage_type == Magma_CSR ) {
// visualize only small matrices like dense
if ( A.num_rows < 11 && A.num_cols < 11 ) {
CHECK( magma_dmconvert( A, &C, A.storage_type, Magma_DENSE, queue ));
CHECK( magma_dprint_matrix( C, queue ));
magma_dmfree( &C, queue );
}
// otherwise visualize only coners
else {
// 4 beginning and 4 last elements of first four rows
for( i=0; i < 4; i++ ) {
// upper left corner
for( j=0; j < 4; j++ ) {
double tmp = MAGMA_D_ZERO;
magma_index_t rbound = min( A.row[i]+4, A.row[i+1]);
magma_index_t lbound = max( A.row[i], A.row[i]);
for( k=lbound; k < rbound; k++ ) {
if ( A.col[k] == j ) {
tmp = A.val[k];
}
}
magma_dprintval( tmp );
}
if ( i == 0 ) {
printf( " . . . " );
} else {
printf( " " );
}
// upper right corner
for( j=A.num_cols-4; j < A.num_cols; j++ ) {
double tmp = MAGMA_D_ZERO;
magma_index_t rbound = min( A.row[i+1], A.row[i+1]);
magma_index_t lbound = max( A.row[i+1]-4, A.row[i]);
for( k=lbound; k < rbound; k++ ) {
if ( A.col[k] == j ) {
tmp = A.val[k];
}
}
magma_dprintval( tmp );
}
printf( "\n");
}
printf( " . . . .\n"
" . . . .\n"
" . . . .\n"
" . . . .\n" );
for( i=A.num_rows-4; i < A.num_rows; i++ ) {
// lower left corner
for( j=0; j < 4; j++ ) {
double tmp = MAGMA_D_ZERO;
magma_index_t rbound = min( A.row[i]+4, A.row[i+1]);
magma_index_t lbound = max( A.row[i], A.row[i]);
for( k=lbound; k < rbound; k++ ) {
if ( A.col[k] == j ) {
tmp = A.val[k];
}
}
magma_dprintval( tmp );
}
printf( " ");
// lower right corner
for( j=A.num_cols-4; j < A.num_cols; j++ ) {
double tmp = MAGMA_D_ZERO;
magma_index_t rbound = min( A.row[i+1], A.row[i+1]);
magma_index_t lbound = max( A.row[i+1]-4, A.row[i]);
for( k=lbound; k < rbound; k++ ) {
if ( A.col[k] == j ) {
tmp = A.val[k];
}
}
magma_dprintval( tmp );
}
printf( "\n");
}
}
}
else {
CHECK( magma_dmconvert( A, &C, A.storage_type, Magma_CSR, queue ));
CHECK( magma_dprint_matrix( C, queue ));
}
}
else {
//magma_d_matrix C={Magma_CSR};
CHECK( magma_dmtransfer( A, &C, A.memory_location, Magma_CPU, queue ));
CHECK( magma_dprint_matrix( C, queue ));
}
cleanup:
magma_dmfree( &C, queue );
return info;
}
/* ////////////////////////////////////////////////////////////////////////////
-- testing any solver
*/
int main( int argc, char** argv )
{
magma_int_t info = 0;
TESTING_INIT();
magma_dopts zopts;
magma_queue_t queue=NULL;
magma_queue_create( 0, &queue );
real_Double_t res;
magma_d_matrix Z={Magma_CSR}, A={Magma_CSR}, AT={Magma_CSR},
A2={Magma_CSR}, B={Magma_CSR}, B_d={Magma_CSR};
magma_index_t *comm_i=NULL;
double *comm_v=NULL;
magma_int_t start, end;
int i=1;
CHECK( magma_dparse_opts( argc, argv, &zopts, &i, queue ));
B.blocksize = zopts.blocksize;
B.alignment = zopts.alignment;
while( i < argc ) {
if ( strcmp("LAPLACE2D", argv[i]) == 0 && i+1 < argc ) { // Laplace test
i++;
magma_int_t laplace_size = atoi( argv[i] );
CHECK( magma_dm_5stencil( laplace_size, &Z, queue ));
} else { // file-matrix test
CHECK( magma_d_csr_mtx( &Z, argv[i], queue ));
}
printf("%% matrix info: %d-by-%d with %d nonzeros\n",
int(Z.num_rows), int(Z.num_cols), int(Z.nnz) );
// slice matrix
CHECK( magma_index_malloc_cpu( &comm_i, Z.num_rows ) );
CHECK( magma_dmalloc_cpu( &comm_v, Z.num_rows ) );
CHECK( magma_dmslice( 1, 0, Z, &A2, &AT, &B, comm_i, comm_v, &start, &end, queue ) );
magma_dprint_matrix( A2, queue );
magma_dprint_matrix( AT, queue );
magma_dprint_matrix( B, queue );
magma_dmfree(&A2, queue );
magma_dmfree(&AT, queue );
magma_dmfree(&B, queue );
CHECK( magma_dmslice( 9, 0, Z, &A2, &AT, &B, comm_i, comm_v, &start, &end, queue ) );
magma_dprint_matrix( A2, queue );
magma_dprint_matrix( AT, queue );
magma_dprint_matrix( B, queue );
magma_dmfree(&A2, queue );
magma_dmfree(&AT, queue );
magma_dmfree(&B, queue );
CHECK( magma_dmslice( 9, 1, Z, &A2, &AT, &B, comm_i, comm_v, &start, &end, queue ) );
magma_dprint_matrix( A2, queue );
magma_dprint_matrix( AT, queue );
magma_dprint_matrix( B, queue );
magma_dmfree(&A2, queue );
magma_dmfree(&AT, queue );
magma_dmfree(&B, queue );
CHECK( magma_dmslice( 9, 8, Z, &A2, &AT, &B, comm_i, comm_v, &start, &end, queue ) );
magma_dprint_matrix( A2, queue );
magma_dprint_matrix( AT, queue );
magma_dprint_matrix( B, queue );
magma_dmfree(&A2, queue );
magma_dmfree(&AT, queue );
magma_dmfree(&B, queue );
// scale matrix
CHECK( magma_dmscale( &Z, zopts.scaling, queue ));
// remove nonzeros in matrix
CHECK( magma_dmcsrcompressor( &Z, queue ));
// convert to be non-symmetric
CHECK( magma_dmconvert( Z, &A, Magma_CSR, Magma_CSRL, queue ));
// transpose
CHECK( magma_dmtranspose( A, &AT, queue ));
// convert, copy back and forth to check everything works
CHECK( magma_dmconvert( AT, &B, Magma_CSR, zopts.output_format, queue ));
magma_dmfree(&AT, queue );
CHECK( magma_dmtransfer( B, &B_d, Magma_CPU, Magma_DEV, queue ));
magma_dmfree(&B, queue );
CHECK( magma_dmcsrcompressor_gpu( &B_d, queue ));
CHECK( magma_dmtransfer( B_d, &B, Magma_DEV, Magma_CPU, queue ));
magma_dmfree(&B_d, queue );
CHECK( magma_dmconvert( B, &AT, zopts.output_format,Magma_CSR, queue ));
magma_dmfree(&B, queue );
// transpose back
CHECK( magma_dmtranspose( AT, &A2, queue ));
magma_dmfree(&AT, queue );
CHECK( magma_dmdiff( A, A2, &res, queue));
printf("%% ||A-B||_F = %8.2e\n", res);
if ( res < .000001 )
printf("%% tester: ok\n");
else
printf("%% tester: failed\n");
magma_free_cpu( comm_i );
magma_free_cpu( comm_v );
comm_i=NULL;
comm_v=NULL;
magma_dmfree(&A, queue );
magma_dmfree(&A2, queue );
magma_dmfree(&Z, queue );
i++;
}
cleanup:
magma_free_cpu( comm_i );
magma_free_cpu( comm_v );
magma_dmfree(&AT, queue );
magma_dmfree(&A, queue );
magma_dmfree(&B, queue );
magma_dmfree(&B_d, queue );
magma_dmfree(&A2, queue );
magma_dmfree(&Z, queue );
magma_queue_destroy( queue );
TESTING_FINALIZE();
return info;
}
magma_int_t
magma_dinitguess(
magma_d_matrix A,
magma_d_matrix *L,
magma_d_matrix *U,
magma_queue_t queue )
{
magma_int_t info = 0;
double one = MAGMA_D_MAKE( 1.0, 0.0 );
magma_d_matrix hAL={Magma_CSR}, hAU={Magma_CSR}, dAL={Magma_CSR},
dAU={Magma_CSR}, dALU={Magma_CSR}, hALU={Magma_CSR}, hD={Magma_CSR},
dD={Magma_CSR}, dL={Magma_CSR}, hL={Magma_CSR};
magma_int_t i,j;
magma_int_t offdiags = 0;
magma_index_t *diag_offset;
double *diag_vals=NULL;
// need only lower triangular
hAL.diagorder_type = Magma_VALUE;
CHECK( magma_dmconvert( A, &hAL, Magma_CSR, Magma_CSRL, queue ));
//magma_dmconvert( hAL, &hALCOO, Magma_CSR, Magma_CSRCOO );
// need only upper triangular
//magma_dmconvert( A, &hAU, Magma_CSR, Magma_CSRU );
CHECK( magma_d_cucsrtranspose( hAL, &hAU, queue ));
//magma_dmconvert( hAU, &hAUCOO, Magma_CSR, Magma_CSRCOO );
CHECK( magma_dmtransfer( hAL, &dAL, Magma_CPU, Magma_DEV, queue ));
CHECK( magma_d_spmm( one, dAL, dAU, &dALU, queue ));
CHECK( magma_dmtransfer( dALU, &hALU, Magma_DEV, Magma_CPU, queue ));
magma_dmfree( &dAU, queue);
magma_dmfree( &dALU, queue);
CHECK( magma_dmalloc_cpu( &diag_vals, offdiags+1 ));
CHECK( magma_index_malloc_cpu( &diag_offset, offdiags+1 ));
diag_offset[0] = 0;
diag_vals[0] = MAGMA_D_MAKE( 1.0, 0.0 );
CHECK( magma_dmgenerator( hALU.num_rows, offdiags, diag_offset, diag_vals, &hD, queue ));
magma_dmfree( &hALU, queue );
for(i=0; i<hALU.num_rows; i++){
for(j=hALU.row[i]; j<hALU.row[i+1]; j++){
if( hALU.col[j] == i ){
//printf("%d %d %d == %d -> %f -->", i, j, hALU.col[j], i, hALU.val[j]);
hD.val[i] = MAGMA_D_MAKE(
1.0 / sqrt(fabs(MAGMA_D_REAL(hALU.val[j]))) , 0.0 );
//printf("insert %f at %d\n", hD.val[i], i);
}
}
}
CHECK( magma_dmtransfer( hD, &dD, Magma_CPU, Magma_DEV, queue ));
magma_dmfree( &hD, queue);
CHECK( magma_d_spmm( one, dD, dAL, &dL, queue ));
magma_dmfree( &dAL, queue );
magma_dmfree( &dD, queue );
/*
// check for diagonal = 1
magma_d_matrix dLt={Magma_CSR}, dLL={Magma_CSR}, LL={Magma_CSR};
CHECK( magma_d_cucsrtranspose( dL, &dLt ));
CHECK( magma_dcuspmm( dL, dLt, &dLL ));
CHECK( magma_dmtransfer( dLL, &LL, Magma_DEV, Magma_CPU ));
//for(i=0; i < hALU.num_rows; i++) {
for(i=0; i < 100; i++) {
for(j=hALU.row[i]; j < hALU.row[i+1]; j++) {
if( hALU.col[j] == i ){
printf("%d %d -> %f -->", i, i, LL.val[j]);
}
}
}
*/
CHECK( magma_dmtransfer( dL, &hL, Magma_DEV, Magma_CPU, queue ));
CHECK( magma_dmconvert( hL, L, Magma_CSR, Magma_CSRCOO, queue ));
cleanup:
if( info !=0 ){
magma_dmfree( L, queue );
magma_dmfree( U, queue );
}
magma_dmfree( &dAU, queue);
magma_dmfree( &dALU, queue);
magma_dmfree( &dL, queue );
magma_dmfree( &hL, queue );
magma_dmfree( &dAL, queue );
magma_dmfree( &dD, queue );
magma_dmfree( &hD, queue);
magma_dmfree( &hALU, queue );
return info;
}
magma_int_t
magma_dicres(
magma_d_matrix A,
magma_d_matrix C,
magma_d_matrix CT,
magma_d_matrix *LU,
real_Double_t *res,
real_Double_t *nonlinres,
magma_queue_t queue )
{
magma_int_t info = 0;
double tmp;
real_Double_t tmp2;
magma_int_t i,j,k;
double one = MAGMA_D_MAKE( 1.0, 0.0 );
magma_d_matrix L_d={Magma_CSR}, U_d={Magma_CSR}, LU_d={Magma_CSR};
*res = 0.0;
*nonlinres = 0.0;
CHECK( magma_dmtransfer( C, &L_d, Magma_CPU, Magma_DEV, queue ));
CHECK( magma_dmtransfer( CT, &U_d, Magma_CPU, Magma_DEV, queue ));
CHECK( magma_d_spmm( one, L_d, U_d, &LU_d, queue ));
CHECK( magma_dmtransfer(LU_d, LU, Magma_DEV, Magma_CPU, queue ));
magma_dmfree( &LU_d, queue );
// compute Frobenius norm of A-LU
for(i=0; i<A.num_rows; i++){
for(j=A.row[i]; j<A.row[i+1]; j++){
magma_index_t lcol = A.col[j];
for(k=LU->row[i]; k<LU->row[i+1]; k++){
if( LU->col[k] == lcol ){
tmp = MAGMA_D_MAKE(
MAGMA_D_REAL( LU->val[k] )- MAGMA_D_REAL( A.val[j] )
, 0.0 );
LU->val[k] = tmp;
tmp2 = (real_Double_t) fabs( MAGMA_D_REAL(tmp) );
(*nonlinres) = (*nonlinres) + tmp2*tmp2;
}
}
}
}
for(i=0; i<LU->num_rows; i++){
for(j=LU->row[i]; j<LU->row[i+1]; j++){
tmp2 = (real_Double_t) fabs( MAGMA_D_REAL(LU->val[j]) );
(*res) = (*res) + tmp2* tmp2;
}
}
(*res) = sqrt((*res));
(*nonlinres) = sqrt((*nonlinres));
cleanup:
if( info !=0 ){
magma_dmfree( LU, queue );
}
magma_dmfree( &L_d, queue );
magma_dmfree( &U_d, queue );
magma_dmfree( &LU_d, queue );
return info;
}
extern "C" magma_int_t
magma_dpbicg(
magma_d_matrix A, magma_d_matrix b, magma_d_matrix *x,
magma_d_solver_par *solver_par,
magma_d_preconditioner *precond_par,
magma_queue_t queue )
{
magma_int_t info = MAGMA_NOTCONVERGED;
// prepare solver feedback
solver_par->solver = Magma_PBICG;
solver_par->numiter = 0;
solver_par->spmv_count = 0;
// some useful variables
double c_zero = MAGMA_D_ZERO;
double c_one = MAGMA_D_ONE;
double c_neg_one = MAGMA_D_NEG_ONE;
magma_int_t dofs = A.num_rows * b.num_cols;
// workspace
magma_d_matrix r={Magma_CSR}, rt={Magma_CSR}, p={Magma_CSR}, pt={Magma_CSR},
z={Magma_CSR}, zt={Magma_CSR}, q={Magma_CSR}, y={Magma_CSR},
yt={Magma_CSR}, qt={Magma_CSR};
// need to transpose the matrix
magma_d_matrix AT={Magma_CSR}, Ah1={Magma_CSR}, Ah2={Magma_CSR};
CHECK( magma_dvinit( &r, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &rt,Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &p, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &pt,Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &q, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &qt,Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &y, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &yt,Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &z, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &zt,Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
// solver variables
double alpha, rho, beta, rho_new, ptq;
double res, nomb, nom0, r0;
// transpose the matrix
magma_dmtransfer( A, &Ah1, Magma_DEV, Magma_CPU, queue );
magma_dmconvert( Ah1, &Ah2, A.storage_type, Magma_CSR, queue );
magma_dmfree(&Ah1, queue );
magma_dmtransposeconjugate( Ah2, &Ah1, queue );
magma_dmfree(&Ah2, queue );
Ah2.blocksize = A.blocksize;
Ah2.alignment = A.alignment;
magma_dmconvert( Ah1, &Ah2, Magma_CSR, A.storage_type, queue );
magma_dmfree(&Ah1, queue );
magma_dmtransfer( Ah2, &AT, Magma_CPU, Magma_DEV, queue );
magma_dmfree(&Ah2, queue );
// solver setup
CHECK( magma_dresidualvec( A, b, *x, &r, &nom0, queue));
res = nom0;
solver_par->init_res = nom0;
magma_dcopy( dofs, r.dval, 1, rt.dval, 1, queue ); // rr = r
rho_new = magma_ddot( dofs, rt.dval, 1, r.dval, 1, queue ); // rho=<rr,r>
rho = alpha = MAGMA_D_MAKE( 1.0, 0. );
nomb = magma_dnrm2( dofs, b.dval, 1, queue );
if ( nomb == 0.0 ){
nomb=1.0;
}
if ( (r0 = nomb * solver_par->rtol) < ATOLERANCE ){
r0 = ATOLERANCE;
}
solver_par->final_res = solver_par->init_res;
solver_par->iter_res = solver_par->init_res;
if ( solver_par->verbose > 0 ) {
solver_par->res_vec[0] = nom0;
solver_par->timing[0] = 0.0;
}
if ( nom0 < r0 ) {
info = MAGMA_SUCCESS;
goto cleanup;
}
//Chronometry
real_Double_t tempo1, tempo2;
tempo1 = magma_sync_wtime( queue );
solver_par->numiter = 0;
solver_par->spmv_count = 0;
// start iteration
do
{
solver_par->numiter++;
CHECK( magma_d_applyprecond_left( MagmaNoTrans, A, r, &y, precond_par, queue ));
CHECK( magma_d_applyprecond_right( MagmaNoTrans, A, y, &z, precond_par, queue ));
CHECK( magma_d_applyprecond_right( MagmaTrans, A, rt, &yt, precond_par, queue ));
CHECK( magma_d_applyprecond_left( MagmaTrans, A, yt, &zt, precond_par, queue ));
//magma_dcopy( dofs, r.dval, 1 , y.dval, 1, queue ); // y=r
//magma_dcopy( dofs, y.dval, 1 , z.dval, 1, queue ); // z=y
//magma_dcopy( dofs, rt.dval, 1 , yt.dval, 1, queue ); // yt=rt
//magma_dcopy( dofs, yt.dval, 1 , zt.dval, 1, queue ); // yt=rt
rho= rho_new;
rho_new = magma_ddot( dofs, rt.dval, 1, z.dval, 1, queue ); // rho=<rt,z>
if( magma_d_isnan_inf( rho_new ) ){
info = MAGMA_DIVERGENCE;
break;
}
if( solver_par->numiter==1 ){
magma_dcopy( dofs, z.dval, 1 , p.dval, 1, queue ); // yt=rt
magma_dcopy( dofs, zt.dval, 1 , pt.dval, 1, queue ); // zt=yt
} else {
beta = rho_new/rho;
magma_dscal( dofs, beta, p.dval, 1, queue ); // p = beta*p
magma_daxpy( dofs, c_one , z.dval, 1 , p.dval, 1, queue ); // p = z+beta*p
magma_dscal( dofs, MAGMA_D_CONJ(beta), pt.dval, 1, queue ); // pt = beta*pt
magma_daxpy( dofs, c_one , zt.dval, 1 , pt.dval, 1, queue ); // pt = zt+beta*pt
}
CHECK( magma_d_spmv( c_one, A, p, c_zero, q, queue )); // v = Ap
CHECK( magma_d_spmv( c_one, AT, pt, c_zero, qt, queue )); // v = Ap
solver_par->spmv_count++;
solver_par->spmv_count++;
ptq = magma_ddot( dofs, pt.dval, 1, q.dval, 1, queue );
alpha = rho_new /ptq;
magma_daxpy( dofs, alpha, p.dval, 1 , x->dval, 1, queue ); // x=x+alpha*p
magma_daxpy( dofs, c_neg_one * alpha, q.dval, 1 , r.dval, 1, queue ); // r=r+alpha*q
magma_daxpy( dofs, c_neg_one * MAGMA_D_CONJ(alpha), qt.dval, 1 , rt.dval, 1, queue ); // r=r+alpha*q
res = magma_dnrm2( dofs, r.dval, 1, queue );
if ( solver_par->verbose > 0 ) {
tempo2 = magma_sync_wtime( queue );
if ( (solver_par->numiter)%solver_par->verbose==0 ) {
solver_par->res_vec[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) res;
solver_par->timing[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) tempo2-tempo1;
}
}
if ( res/nomb <= solver_par->rtol || res <= solver_par->atol ){
break;
}
}
while ( solver_par->numiter+1 <= solver_par->maxiter );
tempo2 = magma_sync_wtime( queue );
solver_par->runtime = (real_Double_t) tempo2-tempo1;
double residual;
CHECK( magma_dresidualvec( A, b, *x, &r, &residual, queue));
solver_par->iter_res = res;
solver_par->final_res = residual;
if ( solver_par->numiter < solver_par->maxiter ) {
info = MAGMA_SUCCESS;
} else if ( solver_par->init_res > solver_par->final_res ) {
if ( solver_par->verbose > 0 ) {
if ( (solver_par->numiter)%solver_par->verbose==0 ) {
solver_par->res_vec[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) res;
solver_par->timing[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) tempo2-tempo1;
}
}
info = MAGMA_SLOW_CONVERGENCE;
if( solver_par->iter_res < solver_par->rtol*solver_par->init_res ||
solver_par->iter_res < solver_par->atol ) {
info = MAGMA_SUCCESS;
}
}
else {
if ( solver_par->verbose > 0 ) {
if ( (solver_par->numiter)%solver_par->verbose==0 ) {
solver_par->res_vec[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) res;
solver_par->timing[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) tempo2-tempo1;
}
}
info = MAGMA_DIVERGENCE;
}
cleanup:
magma_dmfree(&r, queue );
magma_dmfree(&rt, queue );
magma_dmfree(&p, queue );
magma_dmfree(&pt, queue );
magma_dmfree(&q, queue );
magma_dmfree(&qt, queue );
magma_dmfree(&y, queue );
magma_dmfree(&yt, queue );
magma_dmfree(&z, queue );
magma_dmfree(&zt, queue );
magma_dmfree(&AT, queue );
magma_dmfree(&Ah1, queue );
magma_dmfree(&Ah2, queue );
solver_par->info = info;
return info;
} /* magma_dpbicg */
extern "C" magma_int_t
magma_dmscale(
magma_d_matrix *A,
magma_scale_t scaling,
magma_queue_t queue )
{
magma_int_t info = 0;
double *tmp=NULL;
magma_d_matrix hA={Magma_CSR}, CSRA={Magma_CSR};
if( A->num_rows != A->num_cols && scaling != Magma_NOSCALE ){
printf("%% warning: non-square matrix.\n");
printf("%% Fallback: no scaling.\n");
scaling = Magma_NOSCALE;
}
if ( A->memory_location == Magma_CPU && A->storage_type == Magma_CSRCOO ) {
if ( scaling == Magma_NOSCALE ) {
// no scale
;
}
else if( A->num_rows == A->num_cols ){
if ( scaling == Magma_UNITROW ) {
// scale to unit rownorm
CHECK( magma_dmalloc_cpu( &tmp, A->num_rows ));
for( magma_int_t z=0; z<A->num_rows; z++ ) {
double s = MAGMA_D_MAKE( 0.0, 0.0 );
for( magma_int_t f=A->row[z]; f<A->row[z+1]; f++ )
s+= MAGMA_D_REAL(A->val[f])*MAGMA_D_REAL(A->val[f]);
tmp[z] = MAGMA_D_MAKE( 1.0/sqrt( MAGMA_D_REAL( s ) ), 0.0 );
}
for( magma_int_t z=0; z<A->nnz; z++ ) {
A->val[z] = A->val[z] * tmp[A->col[z]] * tmp[A->rowidx[z]];
}
}
else if (scaling == Magma_UNITDIAG ) {
// scale to unit diagonal
CHECK( magma_dmalloc_cpu( &tmp, A->num_rows ));
for( magma_int_t z=0; z<A->num_rows; z++ ) {
double s = MAGMA_D_MAKE( 0.0, 0.0 );
for( magma_int_t f=A->row[z]; f<A->row[z+1]; f++ ) {
if ( A->col[f]== z ) {
// add some identity matrix
//A->val[f] = A->val[f] + MAGMA_D_MAKE( 100000.0, 0.0 );
s = A->val[f];
}
}
if ( s == MAGMA_D_MAKE( 0.0, 0.0 ) ){
printf("%%error: zero diagonal element.\n");
info = MAGMA_ERR;
}
tmp[z] = MAGMA_D_MAKE( 1.0/sqrt( MAGMA_D_REAL( s ) ), 0.0 );
}
for( magma_int_t z=0; z<A->nnz; z++ ) {
A->val[z] = A->val[z] * tmp[A->col[z]] * tmp[A->rowidx[z]];
}
}
else {
printf( "%%error: scaling not supported.\n" );
info = MAGMA_ERR_NOT_SUPPORTED;
}
}
else {
printf( "%%error: scaling not supported.\n" );
info = MAGMA_ERR_NOT_SUPPORTED;
}
}
else {
magma_storage_t A_storage = A->storage_type;
magma_location_t A_location = A->memory_location;
CHECK( magma_dmtransfer( *A, &hA, A->memory_location, Magma_CPU, queue ));
CHECK( magma_dmconvert( hA, &CSRA, hA.storage_type, Magma_CSRCOO, queue ));
CHECK( magma_dmscale( &CSRA, scaling, queue ));
magma_dmfree( &hA, queue );
magma_dmfree( A, queue );
CHECK( magma_dmconvert( CSRA, &hA, Magma_CSRCOO, A_storage, queue ));
CHECK( magma_dmtransfer( hA, A, Magma_CPU, A_location, queue ));
}
cleanup:
magma_free_cpu( tmp );
magma_dmfree( &hA, queue );
magma_dmfree( &CSRA, queue );
return info;
}
extern "C" magma_int_t
magma_dqmr_merge(
magma_d_matrix A, magma_d_matrix b, magma_d_matrix *x,
magma_d_solver_par *solver_par,
magma_queue_t queue )
{
magma_int_t info = MAGMA_NOTCONVERGED;
// prepare solver feedback
solver_par->solver = Magma_QMRMERGE;
solver_par->numiter = 0;
solver_par->spmv_count = 0;
// local variables
double c_zero = MAGMA_D_ZERO, c_one = MAGMA_D_ONE;
// solver variables
double nom0, r0, res=0, nomb;
double rho = c_one, rho1 = c_one, eta = -c_one , pds = c_one,
thet = c_one, thet1 = c_one, epsilon = c_one,
beta = c_one, delta = c_one, pde = c_one, rde = c_one,
gamm = c_one, gamm1 = c_one, psi = c_one;
magma_int_t dofs = A.num_rows* b.num_cols;
// need to transpose the matrix
magma_d_matrix AT={Magma_CSR}, Ah1={Magma_CSR}, Ah2={Magma_CSR};
// GPU workspace
magma_d_matrix r={Magma_CSR}, r_tld={Magma_CSR},
v={Magma_CSR}, w={Magma_CSR}, wt={Magma_CSR},
d={Magma_CSR}, s={Magma_CSR}, z={Magma_CSR}, q={Magma_CSR},
p={Magma_CSR}, pt={Magma_CSR}, y={Magma_CSR};
CHECK( magma_dvinit( &r, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &r_tld, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &v, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &w, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &wt,Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &d, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &s, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &z, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &q, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &p, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &pt,Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &y, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
// solver setup
CHECK( magma_dresidualvec( A, b, *x, &r, &nom0, queue));
solver_par->init_res = nom0;
magma_dcopy( dofs, r.dval, 1, r_tld.dval, 1, queue );
magma_dcopy( dofs, r.dval, 1, y.dval, 1, queue );
magma_dcopy( dofs, r.dval, 1, v.dval, 1, queue );
magma_dcopy( dofs, r.dval, 1, wt.dval, 1, queue );
magma_dcopy( dofs, r.dval, 1, z.dval, 1, queue );
// transpose the matrix
magma_dmtransfer( A, &Ah1, Magma_DEV, Magma_CPU, queue );
magma_dmconvert( Ah1, &Ah2, A.storage_type, Magma_CSR, queue );
magma_dmfree(&Ah1, queue );
magma_dmtransposeconjugate( Ah2, &Ah1, queue );
magma_dmfree(&Ah2, queue );
Ah2.blocksize = A.blocksize;
Ah2.alignment = A.alignment;
magma_dmconvert( Ah1, &Ah2, Magma_CSR, A.storage_type, queue );
magma_dmfree(&Ah1, queue );
magma_dmtransfer( Ah2, &AT, Magma_CPU, Magma_DEV, queue );
magma_dmfree(&Ah2, queue );
nomb = magma_dnrm2( dofs, b.dval, 1, queue );
if ( nomb == 0.0 ){
nomb=1.0;
}
if ( (r0 = nomb * solver_par->rtol) < ATOLERANCE ){
r0 = ATOLERANCE;
}
solver_par->final_res = solver_par->init_res;
solver_par->iter_res = solver_par->init_res;
if ( solver_par->verbose > 0 ) {
solver_par->res_vec[0] = (real_Double_t)nom0;
solver_par->timing[0] = 0.0;
}
if ( nom0 < r0 ) {
info = MAGMA_SUCCESS;
goto cleanup;
}
psi = magma_dsqrt( magma_ddot( dofs, z.dval, 1, z.dval, 1, queue ));
rho = magma_dsqrt( magma_ddot( dofs, y.dval, 1, y.dval, 1, queue ));
// v = y / rho
// y = y / rho
// w = wt / psi
// z = z / psi
magma_dqmr_1(
r.num_rows,
r.num_cols,
rho,
psi,
y.dval,
z.dval,
v.dval,
w.dval,
queue );
//Chronometry
real_Double_t tempo1, tempo2;
tempo1 = magma_sync_wtime( queue );
solver_par->numiter = 0;
solver_par->spmv_count = 0;
// start iteration
do
{
solver_par->numiter++;
if( magma_d_isnan_inf( rho ) || magma_d_isnan_inf( psi ) ){
info = MAGMA_DIVERGENCE;
break;
}
// delta = z' * y;
delta = magma_ddot( dofs, z.dval, 1, y.dval, 1, queue );
if( magma_d_isnan_inf( delta ) ){
info = MAGMA_DIVERGENCE;
break;
}
// no precond: yt = y, zt = z
//magma_dcopy( dofs, y.dval, 1, yt.dval, 1 );
//magma_dcopy( dofs, z.dval, 1, zt.dval, 1 );
if( solver_par->numiter == 1 ){
// p = y;
// q = z;
magma_dcopy( dofs, y.dval, 1, p.dval, 1, queue );
magma_dcopy( dofs, z.dval, 1, q.dval, 1, queue );
}
else{
pde = psi * delta / epsilon;
rde = rho * MAGMA_D_CONJ(delta/epsilon);
// p = y - pde * p
// q = z - rde * q
magma_dqmr_2(
r.num_rows,
r.num_cols,
pde,
rde,
y.dval,
z.dval,
p.dval,
q.dval,
queue );
}
if( magma_d_isnan_inf( rho ) || magma_d_isnan_inf( psi ) ){
info = MAGMA_DIVERGENCE;
break;
}
CHECK( magma_d_spmv( c_one, A, p, c_zero, pt, queue ));
solver_par->spmv_count++;
// epsilon = q' * pt;
epsilon = magma_ddot( dofs, q.dval, 1, pt.dval, 1, queue );
beta = epsilon / delta;
if( magma_d_isnan_inf( epsilon ) || magma_d_isnan_inf( beta ) ){
info = MAGMA_DIVERGENCE;
break;
}
// v = pt - beta * v
// y = v
magma_dqmr_3(
r.num_rows,
r.num_cols,
beta,
pt.dval,
v.dval,
y.dval,
queue );
rho1 = rho;
// rho = norm(y);
rho = magma_dsqrt( magma_ddot( dofs, y.dval, 1, y.dval, 1, queue ));
// wt = A' * q - beta' * w;
CHECK( magma_d_spmv( c_one, AT, q, c_zero, wt, queue ));
solver_par->spmv_count++;
magma_daxpy( dofs, - MAGMA_D_CONJ( beta ), w.dval, 1, wt.dval, 1, queue );
// no precond: z = wt
magma_dcopy( dofs, wt.dval, 1, z.dval, 1, queue );
thet1 = thet;
thet = rho / (gamm * MAGMA_D_MAKE( MAGMA_D_ABS(beta), 0.0 ));
gamm1 = gamm;
gamm = c_one / magma_dsqrt(c_one + thet*thet);
eta = - eta * rho1 * gamm * gamm / (beta * gamm1 * gamm1);
if( magma_d_isnan_inf( thet ) || magma_d_isnan_inf( gamm ) || magma_d_isnan_inf( eta ) ){
info = MAGMA_DIVERGENCE;
break;
}
if( solver_par->numiter == 1 ){
// d = eta * p + pds * d;
// s = eta * pt + pds * d;
// x = x + d;
// r = r - s;
magma_dqmr_4(
r.num_rows,
r.num_cols,
eta,
p.dval,
pt.dval,
d.dval,
s.dval,
x->dval,
r.dval,
queue );
}
else{
pds = (thet1 * gamm) * (thet1 * gamm);
// d = eta * p + pds * d;
// s = eta * pt + pds * d;
// x = x + d;
// r = r - s;
magma_dqmr_5(
r.num_rows,
r.num_cols,
eta,
pds,
p.dval,
pt.dval,
d.dval,
s.dval,
x->dval,
r.dval,
queue );
}
// psi = norm(z);
psi = magma_dsqrt( magma_ddot( dofs, z.dval, 1, z.dval, 1, queue ) );
res = magma_dnrm2( dofs, r.dval, 1, queue );
if ( solver_par->verbose > 0 ) {
tempo2 = magma_sync_wtime( queue );
if ( (solver_par->numiter)%solver_par->verbose == c_zero ) {
solver_par->res_vec[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) res;
solver_par->timing[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) tempo2-tempo1;
}
}
// v = y / rho
// y = y / rho
// w = wt / psi
// z = z / psi
magma_dqmr_1(
r.num_rows,
r.num_cols,
rho,
psi,
y.dval,
z.dval,
v.dval,
w.dval,
queue );
if ( res/nomb <= solver_par->rtol || res <= solver_par->atol ){
break;
}
}
while ( solver_par->numiter+1 <= solver_par->maxiter );
tempo2 = magma_sync_wtime( queue );
solver_par->runtime = (real_Double_t) tempo2-tempo1;
double residual;
CHECK( magma_dresidualvec( A, b, *x, &r, &residual, queue));
solver_par->iter_res = res;
solver_par->final_res = residual;
if ( solver_par->numiter < solver_par->maxiter && info == MAGMA_SUCCESS ) {
info = MAGMA_SUCCESS;
} else if ( solver_par->init_res > solver_par->final_res ) {
if ( solver_par->verbose > 0 ) {
if ( (solver_par->numiter)%solver_par->verbose == c_zero ) {
solver_par->res_vec[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) res;
solver_par->timing[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) tempo2-tempo1;
}
}
info = MAGMA_SLOW_CONVERGENCE;
if( solver_par->iter_res < solver_par->rtol*solver_par->init_res ||
solver_par->iter_res < solver_par->atol ) {
info = MAGMA_SUCCESS;
}
}
else {
if ( solver_par->verbose > 0 ) {
if ( (solver_par->numiter)%solver_par->verbose == c_zero ) {
solver_par->res_vec[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) res;
solver_par->timing[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) tempo2-tempo1;
}
}
info = MAGMA_DIVERGENCE;
}
cleanup:
magma_dmfree(&r, queue );
magma_dmfree(&r_tld, queue );
magma_dmfree(&v, queue );
magma_dmfree(&w, queue );
magma_dmfree(&wt, queue );
magma_dmfree(&d, queue );
magma_dmfree(&s, queue );
magma_dmfree(&z, queue );
magma_dmfree(&q, queue );
magma_dmfree(&p, queue );
magma_dmfree(&pt, queue );
magma_dmfree(&y, queue );
magma_dmfree(&AT, queue );
magma_dmfree(&Ah1, queue );
magma_dmfree(&Ah2, queue );
solver_par->info = info;
return info;
} /* magma_dqmr_merge */
magma_int_t
magma_dcustomilusetup(
magma_d_matrix A,
magma_d_matrix b,
magma_d_preconditioner *precond,
magma_queue_t queue )
{
magma_int_t info = 0;
cusparseHandle_t cusparseHandle=NULL;
cusparseMatDescr_t descrL=NULL;
cusparseMatDescr_t descrU=NULL;
magma_d_matrix hA={Magma_CSR};
char preconditionermatrix[255];
// first L
snprintf( preconditionermatrix, sizeof(preconditionermatrix),
"precondL.mtx" );
CHECK( magma_d_csr_mtx( &hA, preconditionermatrix , queue) );
CHECK( magma_dmtransfer( hA, &precond->L, Magma_CPU, Magma_DEV , queue ));
// extract the diagonal of L into precond->d
CHECK( magma_djacobisetup_diagscal( precond->L, &precond->d, queue ));
CHECK( magma_dvinit( &precond->work1, Magma_DEV, hA.num_rows, 1, MAGMA_D_ZERO, queue ));
magma_dmfree( &hA, queue );
// now U
snprintf( preconditionermatrix, sizeof(preconditionermatrix),
"precondU.mtx" );
CHECK( magma_d_csr_mtx( &hA, preconditionermatrix , queue) );
CHECK( magma_dmtransfer( hA, &precond->U, Magma_CPU, Magma_DEV , queue ));
// extract the diagonal of U into precond->d2
CHECK( magma_djacobisetup_diagscal( precond->U, &precond->d2, queue ));
CHECK( magma_dvinit( &precond->work2, Magma_DEV, hA.num_rows, 1, MAGMA_D_ZERO, queue ));
// CUSPARSE context //
CHECK_CUSPARSE( cusparseCreate( &cusparseHandle ));
CHECK_CUSPARSE( cusparseCreateMatDescr( &descrL ));
CHECK_CUSPARSE( cusparseSetMatType( descrL, CUSPARSE_MATRIX_TYPE_TRIANGULAR ));
CHECK_CUSPARSE( cusparseSetMatDiagType( descrL, CUSPARSE_DIAG_TYPE_UNIT ));
CHECK_CUSPARSE( cusparseSetMatIndexBase( descrL, CUSPARSE_INDEX_BASE_ZERO ));
CHECK_CUSPARSE( cusparseSetMatFillMode( descrL, CUSPARSE_FILL_MODE_LOWER ));
CHECK_CUSPARSE( cusparseCreateSolveAnalysisInfo( &precond->cuinfoL ));
CHECK_CUSPARSE( cusparseDcsrsv_analysis( cusparseHandle,
CUSPARSE_OPERATION_NON_TRANSPOSE, precond->L.num_rows,
precond->L.nnz, descrL,
precond->L.val, precond->L.row, precond->L.col, precond->cuinfoL ));
CHECK_CUSPARSE( cusparseCreateMatDescr( &descrU ));
CHECK_CUSPARSE( cusparseSetMatType( descrU, CUSPARSE_MATRIX_TYPE_TRIANGULAR ));
CHECK_CUSPARSE( cusparseSetMatDiagType( descrU, CUSPARSE_DIAG_TYPE_NON_UNIT ));
CHECK_CUSPARSE( cusparseSetMatIndexBase( descrU, CUSPARSE_INDEX_BASE_ZERO ));
CHECK_CUSPARSE( cusparseSetMatFillMode( descrU, CUSPARSE_FILL_MODE_UPPER ));
CHECK_CUSPARSE( cusparseCreateSolveAnalysisInfo( &precond->cuinfoU ));
CHECK_CUSPARSE( cusparseDcsrsv_analysis( cusparseHandle,
CUSPARSE_OPERATION_NON_TRANSPOSE, precond->U.num_rows,
precond->U.nnz, descrU,
precond->U.val, precond->U.row, precond->U.col, precond->cuinfoU ));
cleanup:
cusparseDestroy( cusparseHandle );
cusparseDestroyMatDescr( descrL );
cusparseDestroyMatDescr( descrU );
cusparseHandle=NULL;
descrL=NULL;
descrU=NULL;
magma_dmfree( &hA, queue );
return info;
}
/* ////////////////////////////////////////////////////////////////////////////
-- testing any solver
*/
int main( int argc, char** argv )
{
magma_int_t info = 0;
TESTING_INIT();
magma_dopts zopts;
magma_queue_t queue=NULL;
magma_queue_create( 0, &queue );
real_Double_t res;
magma_d_matrix A={Magma_CSR}, AT={Magma_CSR}, A2={Magma_CSR},
B={Magma_CSR}, B_d={Magma_CSR};
int i=1;
real_Double_t start, end;
CHECK( magma_dparse_opts( argc, argv, &zopts, &i, queue ));
B.blocksize = zopts.blocksize;
B.alignment = zopts.alignment;
while( i < argc ) {
if ( strcmp("LAPLACE2D", argv[i]) == 0 && i+1 < argc ) { // Laplace test
i++;
magma_int_t laplace_size = atoi( argv[i] );
CHECK( magma_dm_5stencil( laplace_size, &A, queue ));
} else { // file-matrix test
CHECK( magma_d_csr_mtx( &A, argv[i], queue ));
}
printf( "\n# matrix info: %d-by-%d with %d nonzeros\n\n",
int(A.num_rows), int(A.num_cols), int(A.nnz) );
// scale matrix
CHECK( magma_dmscale( &A, zopts.scaling, queue ));
// remove nonzeros in matrix
start = magma_sync_wtime( queue );
for (int j=0; j<10; j++)
CHECK( magma_dmcsrcompressor( &A, queue ));
end = magma_sync_wtime( queue );
printf( " > MAGMA CPU: %.2e seconds.\n", (end-start)/10 );
// transpose
CHECK( magma_dmtranspose( A, &AT, queue ));
// convert, copy back and forth to check everything works
CHECK( magma_dmconvert( AT, &B, Magma_CSR, Magma_CSR, queue ));
magma_dmfree(&AT, queue );
CHECK( magma_dmtransfer( B, &B_d, Magma_CPU, Magma_DEV, queue ));
magma_dmfree(&B, queue );
start = magma_sync_wtime( queue );
for (int j=0; j<10; j++)
CHECK( magma_dmcsrcompressor_gpu( &B_d, queue ));
end = magma_sync_wtime( queue );
printf( " > MAGMA GPU: %.2e seconds.\n", (end-start)/10 );
CHECK( magma_dmtransfer( B_d, &B, Magma_DEV, Magma_CPU, queue ));
magma_dmfree(&B_d, queue );
CHECK( magma_dmconvert( B, &AT, Magma_CSR, Magma_CSR, queue ));
magma_dmfree(&B, queue );
// transpose back
CHECK( magma_dmtranspose( AT, &A2, queue ));
magma_dmfree(&AT, queue );
CHECK( magma_dmdiff( A, A2, &res, queue ));
printf("%% ||A-B||_F = %8.2e\n", res);
if ( res < .000001 )
printf("%% tester matrix compressor: ok\n");
else
printf("%% tester matrix compressor: failed\n");
magma_dmfree(&A, queue );
magma_dmfree(&A2, queue );
i++;
}
cleanup:
magma_dmfree(&AT, queue );
magma_dmfree(&B, queue );
magma_dmfree(&A, queue );
magma_dmfree(&A2, queue );
magma_queue_destroy( queue );
TESTING_FINALIZE();
return info;
}
extern "C" magma_int_t
magma_dlsqr(
magma_d_matrix A, magma_d_matrix b, magma_d_matrix *x,
magma_d_solver_par *solver_par,
magma_d_preconditioner *precond_par,
magma_queue_t queue )
{
magma_int_t info = MAGMA_NOTCONVERGED;
// prepare solver feedback
solver_par->solver = Magma_LSQR;
solver_par->numiter = 0;
solver_par->spmv_count = 0;
magma_int_t m = A.num_rows * b.num_cols;
magma_int_t n = A.num_cols * b.num_cols;
// local variables
double c_zero = MAGMA_D_ZERO, c_one = MAGMA_D_ONE;
// solver variables
double s, nom0, r0, res=0, nomb, phibar, beta, alpha, c, rho, rhot, phi, thet, normr, normar, norma, sumnormd2, normd;
// need to transpose the matrix
magma_d_matrix AT={Magma_CSR}, Ah1={Magma_CSR}, Ah2={Magma_CSR};
// GPU workspace
magma_d_matrix r={Magma_CSR},
v={Magma_CSR}, z={Magma_CSR}, zt={Magma_CSR},
d={Magma_CSR}, vt={Magma_CSR}, q={Magma_CSR},
w={Magma_CSR}, u={Magma_CSR};
CHECK( magma_dvinit( &r, Magma_DEV, A.num_cols, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &v, Magma_DEV, A.num_cols, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &z, Magma_DEV, A.num_cols, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &d, Magma_DEV, A.num_cols, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &vt,Magma_DEV, A.num_cols, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &q, Magma_DEV, A.num_cols, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &w, Magma_DEV, A.num_cols, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &u, Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
CHECK( magma_dvinit( &zt,Magma_DEV, A.num_rows, b.num_cols, c_zero, queue ));
// transpose the matrix
magma_dmtransfer( A, &Ah1, Magma_DEV, Magma_CPU, queue );
magma_dmconvert( Ah1, &Ah2, A.storage_type, Magma_CSR, queue );
magma_dmfree(&Ah1, queue );
magma_dmtransposeconjugate( Ah2, &Ah1, queue );
magma_dmfree(&Ah2, queue );
Ah2.blocksize = A.blocksize;
Ah2.alignment = A.alignment;
magma_dmconvert( Ah1, &Ah2, Magma_CSR, A.storage_type, queue );
magma_dmfree(&Ah1, queue );
magma_dmtransfer( Ah2, &AT, Magma_CPU, Magma_DEV, queue );
magma_dmfree(&Ah2, queue );
// solver setup
CHECK( magma_dresidualvec( A, b, *x, &r, &nom0, queue));
solver_par->init_res = nom0;
nomb = magma_dnrm2( m, b.dval, 1, queue );
if ( nomb == 0.0 ){
nomb=1.0;
}
if ( (r0 = nomb * solver_par->rtol) < ATOLERANCE ){
r0 = ATOLERANCE;
}
solver_par->final_res = solver_par->init_res;
solver_par->iter_res = solver_par->init_res;
if ( solver_par->verbose > 0 ) {
solver_par->res_vec[0] = (real_Double_t)nom0;
solver_par->timing[0] = 0.0;
}
if ( nom0 < r0 ) {
info = MAGMA_SUCCESS;
goto cleanup;
}
magma_dcopy( m, b.dval, 1, u.dval, 1, queue );
beta = magma_dnrm2( m, u.dval, 1, queue );
magma_dscal( m, MAGMA_D_MAKE(1./beta, 0.0 ), u.dval, 1, queue );
normr = beta;
c = 1.0;
s = 0.0;
phibar = beta;
CHECK( magma_d_spmv( c_one, AT, u, c_zero, v, queue ));
if( precond_par->solver == Magma_NONE ){
;
} else {
CHECK( magma_d_applyprecond_right( MagmaTrans, A, v, &zt, precond_par, queue ));
CHECK( magma_d_applyprecond_left( MagmaTrans, A, zt, &v, precond_par, queue ));
}
alpha = magma_dnrm2( n, v.dval, 1, queue );
magma_dscal( n, MAGMA_D_MAKE(1./alpha, 0.0 ), v.dval, 1, queue );
normar = alpha * beta;
norma = 0;
sumnormd2 = 0;
//Chronometry
real_Double_t tempo1, tempo2;
tempo1 = magma_sync_wtime( queue );
solver_par->numiter = 0;
// start iteration
do
{
solver_par->numiter++;
if( precond_par->solver == Magma_NONE || A.num_rows != A.num_cols ) {
magma_dcopy( n, v.dval, 1 , z.dval, 1, queue );
} else {
CHECK( magma_d_applyprecond_left( MagmaNoTrans, A, v, &zt, precond_par, queue ));
CHECK( magma_d_applyprecond_right( MagmaNoTrans, A, zt, &z, precond_par, queue ));
}
//CHECK( magma_d_spmv( c_one, A, z, MAGMA_D_MAKE(-alpha,0.0), u, queue ));
CHECK( magma_d_spmv( c_one, A, z, c_zero, zt, queue ));
magma_dscal( m, MAGMA_D_MAKE(-alpha, 0.0 ), u.dval, 1, queue );
magma_daxpy( m, c_one, zt.dval, 1, u.dval, 1, queue );
solver_par->spmv_count++;
beta = magma_dnrm2( m, u.dval, 1, queue );
magma_dscal( m, MAGMA_D_MAKE(1./beta, 0.0 ), u.dval, 1, queue );
// norma = norm([norma alpha beta]);
norma = sqrt(norma*norma + alpha*alpha + beta*beta );
//lsvec( solver_par->numiter-1 ) = normar / norma;
thet = -s * alpha;
rhot = c * alpha;
rho = sqrt( rhot * rhot + beta * beta );
c = rhot / rho;
s = - beta / rho;
phi = c * phibar;
phibar = s * phibar;
// d = (z - thet * d) / rho;
magma_dscal( n, MAGMA_D_MAKE(-thet, 0.0 ), d.dval, 1, queue );
magma_daxpy( n, c_one, z.dval, 1, d.dval, 1, queue );
magma_dscal( n, MAGMA_D_MAKE(1./rho, 0.0 ), d.dval, 1, queue );
normd = magma_dnrm2( n, d.dval, 1, queue );
sumnormd2 = sumnormd2 + normd*normd;
// convergence check
res = normr;
if ( solver_par->verbose > 0 ) {
tempo2 = magma_sync_wtime( queue );
if ( (solver_par->numiter)%solver_par->verbose == c_zero ) {
solver_par->res_vec[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) res;
solver_par->timing[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) tempo2-tempo1;
}
}
// check for convergence in A*x=b
if ( res/nomb <= solver_par->rtol || res <= solver_par->atol ){
info = MAGMA_SUCCESS;
break;
}
// check for convergence in min{|b-A*x|}
if ( A.num_rows != A.num_cols &&
( normar/(norma*normr) <= solver_par->rtol || normar <= solver_par->atol ) ){
printf("%% warning: quit from minimization convergence check.\n");
info = MAGMA_SUCCESS;
break;
}
magma_daxpy( n, MAGMA_D_MAKE( phi, 0.0 ), d.dval, 1, x->dval, 1, queue );
normr = fabs(s) * normr;
CHECK( magma_d_spmv( c_one, AT, u, c_zero, vt, queue ));
solver_par->spmv_count++;
if( precond_par->solver == Magma_NONE ){
;
} else {
CHECK( magma_d_applyprecond_right( MagmaTrans, A, vt, &zt, precond_par, queue ));
CHECK( magma_d_applyprecond_left( MagmaTrans, A, zt, &vt, precond_par, queue ));
}
magma_dscal( n, MAGMA_D_MAKE(-beta, 0.0 ), v.dval, 1, queue );
magma_daxpy( n, c_one, vt.dval, 1, v.dval, 1, queue );
alpha = magma_dnrm2( n, v.dval, 1, queue );
magma_dscal( n, MAGMA_D_MAKE(1./alpha, 0.0 ), v.dval, 1, queue );
normar = alpha * fabs(s*phi);
}
while ( solver_par->numiter+1 <= solver_par->maxiter );
tempo2 = magma_sync_wtime( queue );
solver_par->runtime = (real_Double_t) tempo2-tempo1;
double residual;
CHECK( magma_dresidualvec( A, b, *x, &r, &residual, queue));
solver_par->iter_res = res;
solver_par->final_res = residual;
if ( solver_par->numiter < solver_par->maxiter && info == MAGMA_SUCCESS ) {
info = MAGMA_SUCCESS;
} else if ( solver_par->init_res > solver_par->final_res ) {
if ( solver_par->verbose > 0 ) {
if ( (solver_par->numiter)%solver_par->verbose == c_zero ) {
solver_par->res_vec[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) res;
solver_par->timing[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) tempo2-tempo1;
}
}
info = MAGMA_SLOW_CONVERGENCE;
if( solver_par->iter_res < solver_par->rtol*solver_par->init_res ||
solver_par->iter_res < solver_par->atol ) {
info = MAGMA_SUCCESS;
}
}
else {
if ( solver_par->verbose > 0 ) {
if ( (solver_par->numiter)%solver_par->verbose == c_zero ) {
solver_par->res_vec[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) res;
solver_par->timing[(solver_par->numiter)/solver_par->verbose]
= (real_Double_t) tempo2-tempo1;
}
}
info = MAGMA_DIVERGENCE;
}
cleanup:
magma_dmfree(&r, queue );
magma_dmfree(&v, queue );
magma_dmfree(&z, queue );
magma_dmfree(&zt, queue );
magma_dmfree(&d, queue );
magma_dmfree(&vt, queue );
magma_dmfree(&q, queue );
magma_dmfree(&u, queue );
magma_dmfree(&w, queue );
magma_dmfree(&AT, queue );
magma_dmfree(&Ah1, queue );
magma_dmfree(&Ah2, queue );
solver_par->info = info;
return info;
} /* magma_dqmr */
extern "C" magma_int_t
magma_didr(
magma_d_matrix A, magma_d_matrix b, magma_d_matrix *x,
magma_d_solver_par *solver_par,
magma_queue_t queue )
{
magma_int_t info = MAGMA_NOTCONVERGED;
// prepare solver feedback
solver_par->solver = Magma_IDR;
solver_par->numiter = 0;
solver_par->spmv_count = 0;
solver_par->init_res = 0.0;
solver_par->final_res = 0.0;
solver_par->iter_res = 0.0;
solver_par->runtime = 0.0;
// constants
const double c_zero = MAGMA_D_ZERO;
const double c_one = MAGMA_D_ONE;
const double c_n_one = MAGMA_D_NEG_ONE;
// internal user parameters
const magma_int_t smoothing = 1; // 0 = disable, 1 = enable
const double angle = 0.7; // [0-1]
// local variables
magma_int_t iseed[4] = {0, 0, 0, 1};
magma_int_t dof;
magma_int_t s;
magma_int_t distr;
magma_int_t k, i, sk;
magma_int_t innerflag;
double residual;
double nrm;
double nrmb;
double nrmr;
double nrmt;
double rho;
double om;
double tt;
double tr;
double gamma;
double alpha;
double mkk;
double fk;
// matrices and vectors
magma_d_matrix dxs = {Magma_CSR};
magma_d_matrix dr = {Magma_CSR}, drs = {Magma_CSR};
magma_d_matrix dP = {Magma_CSR}, dP1 = {Magma_CSR};
magma_d_matrix dG = {Magma_CSR};
magma_d_matrix dU = {Magma_CSR};
magma_d_matrix dM = {Magma_CSR};
magma_d_matrix df = {Magma_CSR};
magma_d_matrix dt = {Magma_CSR};
magma_d_matrix dc = {Magma_CSR};
magma_d_matrix dv = {Magma_CSR};
magma_d_matrix dbeta = {Magma_CSR}, hbeta = {Magma_CSR};
// chronometry
real_Double_t tempo1, tempo2;
// initial s space
// TODO: add option for 's' (shadow space number)
// Hack: uses '--restart' option as the shadow space number.
// This is not a good idea because the default value of restart option is used to detect
// if the user provided a custom restart. This means that if the default restart value
// is changed then the code will think it was the user (unless the default value is
// also updated in the 'if' statement below.
s = 1;
if ( solver_par->restart != 50 ) {
if ( solver_par->restart > A.num_cols ) {
s = A.num_cols;
} else {
s = solver_par->restart;
}
}
solver_par->restart = s;
// set max iterations
solver_par->maxiter = min( 2 * A.num_cols, solver_par->maxiter );
// check if matrix A is square
if ( A.num_rows != A.num_cols ) {
//printf("Matrix A is not square.\n");
info = MAGMA_ERR_NOT_SUPPORTED;
goto cleanup;
}
// |b|
nrmb = magma_dnrm2( b.num_rows, b.dval, 1, queue );
if ( nrmb == 0.0 ) {
magma_dscal( x->num_rows, MAGMA_D_ZERO, x->dval, 1, queue );
info = MAGMA_SUCCESS;
goto cleanup;
}
// r = b - A x
CHECK( magma_dvinit( &dr, Magma_DEV, b.num_rows, 1, c_zero, queue ));
CHECK( magma_dresidualvec( A, b, *x, &dr, &nrmr, queue ));
// |r|
solver_par->init_res = nrmr;
solver_par->final_res = solver_par->init_res;
solver_par->iter_res = solver_par->init_res;
if ( solver_par->verbose > 0 ) {
solver_par->res_vec[0] = (real_Double_t)nrmr;
}
// check if initial is guess good enough
if ( nrmr <= solver_par->atol ||
nrmr/nrmb <= solver_par->rtol ) {
info = MAGMA_SUCCESS;
goto cleanup;
}
// P = randn(n, s)
// P = ortho(P)
//---------------------------------------
// P = 0.0
CHECK( magma_dvinit( &dP, Magma_CPU, A.num_cols, s, c_zero, queue ));
// P = randn(n, s)
distr = 3; // 1 = unif (0,1), 2 = unif (-1,1), 3 = normal (0,1)
dof = dP.num_rows * dP.num_cols;
lapackf77_dlarnv( &distr, iseed, &dof, dP.val );
// transfer P to device
CHECK( magma_dmtransfer( dP, &dP1, Magma_CPU, Magma_DEV, queue ));
magma_dmfree( &dP, queue );
// P = ortho(P1)
if ( dP1.num_cols > 1 ) {
// P = magma_dqr(P1), QR factorization
CHECK( magma_dqr( dP1.num_rows, dP1.num_cols, dP1, dP1.ld, &dP, NULL, queue ));
} else {
// P = P1 / |P1|
nrm = magma_dnrm2( dof, dP1.dval, 1, queue );
nrm = 1.0 / nrm;
magma_dscal( dof, nrm, dP1.dval, 1, queue );
CHECK( magma_dmtransfer( dP1, &dP, Magma_DEV, Magma_DEV, queue ));
}
magma_dmfree( &dP1, queue );
//---------------------------------------
// allocate memory for the scalar products
CHECK( magma_dvinit( &hbeta, Magma_CPU, s, 1, c_zero, queue ));
CHECK( magma_dvinit( &dbeta, Magma_DEV, s, 1, c_zero, queue ));
// smoothing enabled
if ( smoothing > 0 ) {
// set smoothing solution vector
CHECK( magma_dmtransfer( *x, &dxs, Magma_DEV, Magma_DEV, queue ));
// set smoothing residual vector
CHECK( magma_dmtransfer( dr, &drs, Magma_DEV, Magma_DEV, queue ));
}
// G(n,s) = 0
CHECK( magma_dvinit( &dG, Magma_DEV, A.num_cols, s, c_zero, queue ));
// U(n,s) = 0
CHECK( magma_dvinit( &dU, Magma_DEV, A.num_cols, s, c_zero, queue ));
// M(s,s) = I
CHECK( magma_dvinit( &dM, Magma_DEV, s, s, c_zero, queue ));
magmablas_dlaset( MagmaFull, s, s, c_zero, c_one, dM.dval, s, queue );
// f = 0
CHECK( magma_dvinit( &df, Magma_DEV, dP.num_cols, 1, c_zero, queue ));
// t = 0
CHECK( magma_dvinit( &dt, Magma_DEV, dr.num_rows, 1, c_zero, queue ));
// c = 0
CHECK( magma_dvinit( &dc, Magma_DEV, dM.num_cols, 1, c_zero, queue ));
// v = 0
CHECK( magma_dvinit( &dv, Magma_DEV, dr.num_rows, 1, c_zero, queue ));
//--------------START TIME---------------
// chronometry
tempo1 = magma_sync_wtime( queue );
if ( solver_par->verbose > 0 ) {
solver_par->timing[0] = 0.0;
}
om = MAGMA_D_ONE;
innerflag = 0;
// start iteration
do
{
solver_par->numiter++;
// new RHS for small systems
// f = P' r
magmablas_dgemv( MagmaConjTrans, dP.num_rows, dP.num_cols, c_one, dP.dval, dP.ld, dr.dval, 1, c_zero, df.dval, 1, queue );
// shadow space loop
for ( k = 0; k < s; ++k ) {
sk = s - k;
// f(k:s) = M(k:s,k:s) c(k:s)
magma_dcopyvector( sk, &df.dval[k], 1, &dc.dval[k], 1, queue );
magma_dtrsv( MagmaLower, MagmaNoTrans, MagmaNonUnit, sk, &dM.dval[k*dM.ld+k], dM.ld, &dc.dval[k], 1, queue );
// v = r - G(:,k:s) c(k:s)
magma_dcopyvector( dr.num_rows, dr.dval, 1, dv.dval, 1, queue );
magmablas_dgemv( MagmaNoTrans, dG.num_rows, sk, c_n_one, &dG.dval[k*dG.ld], dG.ld, &dc.dval[k], 1, c_one, dv.dval, 1, queue );
// U(:,k) = om * v + U(:,k:s) c(k:s)
magmablas_dgemv( MagmaNoTrans, dU.num_rows, sk, c_one, &dU.dval[k*dU.ld], dU.ld, &dc.dval[k], 1, om, dv.dval, 1, queue );
magma_dcopyvector( dU.num_rows, dv.dval, 1, &dU.dval[k*dU.ld], 1, queue );
// G(:,k) = A U(:,k)
CHECK( magma_d_spmv( c_one, A, dv, c_zero, dv, queue ));
solver_par->spmv_count++;
magma_dcopyvector( dG.num_rows, dv.dval, 1, &dG.dval[k*dG.ld], 1, queue );
// bi-orthogonalize the new basis vectors
for ( i = 0; i < k; ++i ) {
// alpha = P(:,i)' G(:,k)
alpha = magma_ddot( dP.num_rows, &dP.dval[i*dP.ld], 1, &dG.dval[k*dG.ld], 1, queue );
// alpha = alpha / M(i,i)
magma_dgetvector( 1, &dM.dval[i*dM.ld+i], 1, &mkk, 1, queue );
alpha = alpha / mkk;
// G(:,k) = G(:,k) - alpha * G(:,i)
magma_daxpy( dG.num_rows, -alpha, &dG.dval[i*dG.ld], 1, &dG.dval[k*dG.ld], 1, queue );
// U(:,k) = U(:,k) - alpha * U(:,i)
magma_daxpy( dU.num_rows, -alpha, &dU.dval[i*dU.ld], 1, &dU.dval[k*dU.ld], 1, queue );
}
// new column of M = P'G, first k-1 entries are zero
// M(k:s,k) = P(:,k:s)' G(:,k)
magmablas_dgemv( MagmaConjTrans, dP.num_rows, sk, c_one, &dP.dval[k*dP.ld], dP.ld, &dG.dval[k*dG.ld], 1, c_zero, &dM.dval[k*dM.ld+k], 1, queue );
// check M(k,k) == 0
magma_dgetvector( 1, &dM.dval[k*dM.ld+k], 1, &mkk, 1, queue );
if ( MAGMA_D_EQUAL(mkk, MAGMA_D_ZERO) ) {
innerflag = 1;
info = MAGMA_DIVERGENCE;
break;
}
// beta = f(k) / M(k,k)
magma_dgetvector( 1, &df.dval[k], 1, &fk, 1, queue );
hbeta.val[k] = fk / mkk;
// check for nan
if ( magma_d_isnan( hbeta.val[k] ) || magma_d_isinf( hbeta.val[k] )) {
innerflag = 1;
info = MAGMA_DIVERGENCE;
break;
}
// r = r - beta * G(:,k)
magma_daxpy( dr.num_rows, -hbeta.val[k], &dG.dval[k*dG.ld], 1, dr.dval, 1, queue );
// smoothing disabled
if ( smoothing <= 0 ) {
// |r|
nrmr = magma_dnrm2( dr.num_rows, dr.dval, 1, queue );
// smoothing enabled
} else {
// x = x + beta * U(:,k)
magma_daxpy( x->num_rows, hbeta.val[k], &dU.dval[k*dU.ld], 1, x->dval, 1, queue );
// smoothing operation
//---------------------------------------
// t = rs - r
magma_dcopyvector( drs.num_rows, drs.dval, 1, dt.dval, 1, queue );
magma_daxpy( dt.num_rows, c_n_one, dr.dval, 1, dt.dval, 1, queue );
// t't
// t'rs
tt = magma_ddot( dt.num_rows, dt.dval, 1, dt.dval, 1, queue );
tr = magma_ddot( dt.num_rows, dt.dval, 1, drs.dval, 1, queue );
// gamma = (t' * rs) / (t' * t)
gamma = tr / tt;
// rs = rs - gamma * (rs - r)
magma_daxpy( drs.num_rows, -gamma, dt.dval, 1, drs.dval, 1, queue );
// xs = xs - gamma * (xs - x)
magma_dcopyvector( dxs.num_rows, dxs.dval, 1, dt.dval, 1, queue );
magma_daxpy( dt.num_rows, c_n_one, x->dval, 1, dt.dval, 1, queue );
magma_daxpy( dxs.num_rows, -gamma, dt.dval, 1, dxs.dval, 1, queue );
// |rs|
nrmr = magma_dnrm2( drs.num_rows, drs.dval, 1, queue );
//---------------------------------------
}
// store current timing and residual
if ( solver_par->verbose > 0 ) {
tempo2 = magma_sync_wtime( queue );
if ( (solver_par->numiter) % solver_par->verbose == 0 ) {
solver_par->res_vec[(solver_par->numiter) / solver_par->verbose]
= (real_Double_t)nrmr;
solver_par->timing[(solver_par->numiter) / solver_par->verbose]
= (real_Double_t)tempo2 - tempo1;
}
}
// check convergence
if ( nrmr <= solver_par->atol ||
nrmr/nrmb <= solver_par->rtol ) {
s = k + 1; // for the x-update outside the loop
innerflag = 2;
info = MAGMA_SUCCESS;
break;
}
// non-last s iteration
if ( (k + 1) < s ) {
// f(k+1:s) = f(k+1:s) - beta * M(k+1:s,k)
magma_daxpy( sk-1, -hbeta.val[k], &dM.dval[k*dM.ld+(k+1)], 1, &df.dval[k+1], 1, queue );
}
}
// smoothing disabled
if ( smoothing <= 0 && innerflag != 1 ) {
// update solution approximation x
// x = x + U(:,1:s) * beta(1:s)
magma_dsetvector( s, hbeta.val, 1, dbeta.dval, 1, queue );
magmablas_dgemv( MagmaNoTrans, dU.num_rows, s, c_one, dU.dval, dU.ld, dbeta.dval, 1, c_one, x->dval, 1, queue );
}
// check convergence or iteration limit or invalid result of inner loop
if ( innerflag > 0 ) {
break;
}
// t = A v
// t = A r
CHECK( magma_d_spmv( c_one, A, dr, c_zero, dt, queue ));
solver_par->spmv_count++;
// computation of a new omega
//---------------------------------------
// |t|
nrmt = magma_dnrm2( dt.num_rows, dt.dval, 1, queue );
// t'r
tr = magma_ddot( dt.num_rows, dt.dval, 1, dr.dval, 1, queue );
// rho = abs(t' * r) / (|t| * |r|))
rho = MAGMA_D_ABS( MAGMA_D_REAL(tr) / (nrmt * nrmr) );
// om = (t' * r) / (|t| * |t|)
om = tr / (nrmt * nrmt);
if ( rho < angle ) {
om = (om * angle) / rho;
}
//---------------------------------------
if ( MAGMA_D_EQUAL(om, MAGMA_D_ZERO) ) {
info = MAGMA_DIVERGENCE;
break;
}
// update approximation vector
// x = x + om * v
// x = x + om * r
magma_daxpy( x->num_rows, om, dr.dval, 1, x->dval, 1, queue );
// update residual vector
// r = r - om * t
magma_daxpy( dr.num_rows, -om, dt.dval, 1, dr.dval, 1, queue );
// smoothing disabled
if ( smoothing <= 0 ) {
// residual norm
nrmr = magma_dnrm2( b.num_rows, dr.dval, 1, queue );
// smoothing enabled
} else {
// smoothing operation
//---------------------------------------
// t = rs - r
magma_dcopyvector( drs.num_rows, drs.dval, 1, dt.dval, 1, queue );
magma_daxpy( dt.num_rows, c_n_one, dr.dval, 1, dt.dval, 1, queue );
// t't
// t'rs
tt = magma_ddot( dt.num_rows, dt.dval, 1, dt.dval, 1, queue );
tr = magma_ddot( dt.num_rows, dt.dval, 1, drs.dval, 1, queue );
// gamma = (t' * rs) / (|t| * |t|)
gamma = tr / tt;
// rs = rs - gamma * (rs - r)
magma_daxpy( drs.num_rows, -gamma, dt.dval, 1, drs.dval, 1, queue );
// xs = xs - gamma * (xs - x)
magma_dcopyvector( dxs.num_rows, dxs.dval, 1, dt.dval, 1, queue );
magma_daxpy( dt.num_rows, c_n_one, x->dval, 1, dt.dval, 1, queue );
magma_daxpy( dxs.num_rows, -gamma, dt.dval, 1, dxs.dval, 1, queue );
// |rs|
nrmr = magma_dnrm2( b.num_rows, drs.dval, 1, queue );
//---------------------------------------
}
// store current timing and residual
if ( solver_par->verbose > 0 ) {
tempo2 = magma_sync_wtime( queue );
if ( (solver_par->numiter) % solver_par->verbose == 0 ) {
solver_par->res_vec[(solver_par->numiter) / solver_par->verbose]
= (real_Double_t)nrmr;
solver_par->timing[(solver_par->numiter) / solver_par->verbose]
= (real_Double_t)tempo2 - tempo1;
}
}
// check convergence
if ( nrmr <= solver_par->atol ||
nrmr/nrmb <= solver_par->rtol ) {
info = MAGMA_SUCCESS;
break;
}
}
while ( solver_par->numiter + 1 <= solver_par->maxiter );
// smoothing enabled
if ( smoothing > 0 ) {
// x = xs
magma_dcopyvector( x->num_rows, dxs.dval, 1, x->dval, 1, queue );
// r = rs
magma_dcopyvector( dr.num_rows, drs.dval, 1, dr.dval, 1, queue );
}
// get last iteration timing
tempo2 = magma_sync_wtime( queue );
solver_par->runtime = (real_Double_t)tempo2 - tempo1;
//--------------STOP TIME----------------
// get final stats
solver_par->iter_res = nrmr;
CHECK( magma_dresidualvec( A, b, *x, &dr, &residual, queue ));
solver_par->final_res = residual;
// set solver conclusion
if ( info != MAGMA_SUCCESS && info != MAGMA_DIVERGENCE ) {
if ( solver_par->init_res > solver_par->final_res ) {
info = MAGMA_SLOW_CONVERGENCE;
}
}
cleanup:
// free resources
// smoothing enabled
if ( smoothing > 0 ) {
magma_dmfree( &dxs, queue );
magma_dmfree( &drs, queue );
}
magma_dmfree( &dr, queue );
magma_dmfree( &dP, queue );
magma_dmfree( &dP1, queue );
magma_dmfree( &dG, queue );
magma_dmfree( &dU, queue );
magma_dmfree( &dM, queue );
magma_dmfree( &df, queue );
magma_dmfree( &dt, queue );
magma_dmfree( &dc, queue );
magma_dmfree( &dv, queue );
magma_dmfree( &dbeta, queue );
magma_dmfree( &hbeta, queue );
solver_par->info = info;
return info;
/* magma_didr */
}
extern "C" magma_int_t
magma_dmlumerge(
magma_d_matrix L,
magma_d_matrix U,
magma_d_matrix *A,
magma_queue_t queue )
{
magma_int_t info = 0;
if( L.storage_type == Magma_CSR && U.storage_type == Magma_CSR ){
if( L.memory_location == Magma_CPU && U.memory_location == Magma_CPU ){
CHECK( magma_dmtransfer( L, A, Magma_CPU, Magma_CPU, queue ));
magma_free_cpu( A->col );
magma_free_cpu( A->val );
// make sure it is strictly lower triangular
magma_int_t z = 0;
for(magma_int_t i=0; i<A->num_rows; i++){
for(magma_int_t j=L.row[i]; j<L.row[i+1]; j++){
if( L.col[j] < i ){// make sure it is strictly lower triangular
z++;
}
}
for(magma_int_t j=U.row[i]; j<U.row[i+1]; j++){
z++;
}
}
A->nnz = z;
// fill A with the new structure;
CHECK( magma_index_malloc_cpu( &A->col, A->nnz ));
CHECK( magma_dmalloc_cpu( &A->val, A->nnz ));
z = 0;
for(magma_int_t i=0; i<A->num_rows; i++){
A->row[i] = z;
for(magma_int_t j=L.row[i]; j<L.row[i+1]; j++){
if( L.col[j] < i ){// make sure it is strictly lower triangular
A->col[z] = L.col[j];
A->val[z] = L.val[j];
z++;
}
}
for(magma_int_t j=U.row[i]; j<U.row[i+1]; j++){
A->col[z] = U.col[j];
A->val[z] = U.val[j];
z++;
}
}
A->row[A->num_rows] = z;
A->nnz = z;
}
else {
printf("error: matrix not on CPU.\n");
info = MAGMA_ERR_NOT_SUPPORTED;
}
}
else {
printf("error: matrix in wrong format.\n");
info = MAGMA_ERR_NOT_SUPPORTED;
}
cleanup:
if( info != 0 ){
magma_dmfree( A, queue );
}
return info;
}
magma_int_t
magma_dsymbilu(
magma_d_matrix *A,
magma_int_t levels,
magma_d_matrix *L,
magma_d_matrix *U,
magma_queue_t queue )
{
magma_int_t info = 0;
magma_d_matrix A_copy={Magma_CSR}, B={Magma_CSR};
magma_d_matrix hA={Magma_CSR}, CSRCOOA={Magma_CSR};
if( A->memory_location == Magma_CPU && A->storage_type == Magma_CSR ){
CHECK( magma_dmtransfer( *A, &A_copy, Magma_CPU, Magma_CPU, queue ));
CHECK( magma_dmtransfer( *A, &B, Magma_CPU, Magma_CPU, queue ));
// possibility to scale to unit diagonal
//magma_dmscale( &B, Magma_UNITDIAG );
CHECK( magma_dmconvert( B, L, Magma_CSR, Magma_CSR , queue));
CHECK( magma_dmconvert( B, U, Magma_CSR, Magma_CSR, queue ));
magma_int_t num_lnnz = (levels > 0 ) ? B.nnz/2*(2*levels+50) : B.nnz;
magma_int_t num_unnz = (levels > 0 ) ? B.nnz/2*(2*levels+50) : B.nnz;
magma_free_cpu( L->col );
magma_free_cpu( U->col );
CHECK( magma_index_malloc_cpu( &L->col, num_lnnz ));
CHECK( magma_index_malloc_cpu( &U->col, num_unnz ));
magma_dsymbolic_ilu( levels, A->num_rows, &num_lnnz, &num_unnz, B.row, B.col,
L->row, L->col, U->row, U->col );
L->nnz = num_lnnz;
U->nnz = num_unnz;
magma_free_cpu( L->val );
magma_free_cpu( U->val );
CHECK( magma_dmalloc_cpu( &L->val, L->nnz ));
CHECK( magma_dmalloc_cpu( &U->val, U->nnz ));
for( magma_int_t i=0; i<L->nnz; i++ )
L->val[i] = MAGMA_D_MAKE( 0.0, 0.0 );
for( magma_int_t i=0; i<U->nnz; i++ )
U->val[i] = MAGMA_D_MAKE( 0.0, 0.0 );
// take the original values (scaled) as initial guess for L
for(magma_int_t i=0; i<L->num_rows; i++){
for(magma_int_t j=B.row[i]; j<B.row[i+1]; j++){
magma_index_t lcol = B.col[j];
for(magma_int_t k=L->row[i]; k<L->row[i+1]; k++){
if( L->col[k] == lcol ){
L->val[k] = B.val[j];
}
}
}
}
// take the original values (scaled) as initial guess for U
for(magma_int_t i=0; i<U->num_rows; i++){
for(magma_int_t j=B.row[i]; j<B.row[i+1]; j++){
magma_index_t lcol = B.col[j];
for(magma_int_t k=U->row[i]; k<U->row[i+1]; k++){
if( U->col[k] == lcol ){
U->val[k] = B.val[j];
}
}
}
}
magma_dmfree( &B, queue );
// fill A with the new structure;
magma_free_cpu( A->col );
magma_free_cpu( A->val );
CHECK( magma_index_malloc_cpu( &A->col, L->nnz+U->nnz ));
CHECK( magma_dmalloc_cpu( &A->val, L->nnz+U->nnz ));
A->nnz = L->nnz+U->nnz;
magma_int_t z = 0;
for(magma_int_t i=0; i<A->num_rows; i++){
A->row[i] = z;
for(magma_int_t j=L->row[i]; j<L->row[i+1]; j++){
A->col[z] = L->col[j];
A->val[z] = L->val[j];
z++;
}
for(magma_int_t j=U->row[i]; j<U->row[i+1]; j++){
A->col[z] = U->col[j];
A->val[z] = U->val[j];
z++;
}
}
A->row[A->num_rows] = z;
// reset the values of A to the original entries
for(magma_int_t i=0; i<A->num_rows; i++){
for(magma_int_t j=A_copy.row[i]; j<A_copy.row[i+1]; j++){
magma_index_t lcol = A_copy.col[j];
for(magma_int_t k=A->row[i]; k<A->row[i+1]; k++){
if( A->col[k] == lcol ){
A->val[k] = A_copy.val[j];
}
}
}
}
}
else {
magma_storage_t A_storage = A->storage_type;
magma_location_t A_location = A->memory_location;
CHECK( magma_dmtransfer( *A, &hA, A->memory_location, Magma_CPU, queue ));
CHECK( magma_dmconvert( hA, &CSRCOOA, hA.storage_type, Magma_CSR, queue ));
CHECK( magma_dsymbilu( &CSRCOOA, levels, L, U, queue ));
magma_dmfree( &hA, queue );
magma_dmfree( A, queue );
CHECK( magma_dmconvert( CSRCOOA, &hA, Magma_CSR, A_storage, queue ));
CHECK( magma_dmtransfer( hA, A, Magma_CPU, A_location, queue ));
}
cleanup:
if( info != 0 ){
magma_dmfree( L, queue );
magma_dmfree( U, queue );
}
magma_dmfree( &A_copy, queue );
magma_dmfree( &B, queue );
magma_dmfree( &hA, queue );
magma_dmfree( &CSRCOOA, queue );
return info;
}
extern "C" magma_int_t
magma_dcumilugeneratesolverinfo(
magma_d_preconditioner *precond,
magma_queue_t queue )
{
magma_int_t info = 0;
cusparseHandle_t cusparseHandle=NULL;
cusparseMatDescr_t descrL=NULL;
cusparseMatDescr_t descrU=NULL;
magma_d_matrix hA={Magma_CSR}, hL={Magma_CSR}, hU={Magma_CSR};
if (precond->L.memory_location != Magma_DEV ){
CHECK( magma_dmtransfer( precond->M, &hA,
precond->M.memory_location, Magma_CPU, queue ));
hL.diagorder_type = Magma_UNITY;
CHECK( magma_dmconvert( hA, &hL , Magma_CSR, Magma_CSRL, queue ));
hU.diagorder_type = Magma_VALUE;
CHECK( magma_dmconvert( hA, &hU , Magma_CSR, Magma_CSRU, queue ));
CHECK( magma_dmtransfer( hL, &(precond->L), Magma_CPU, Magma_DEV, queue ));
CHECK( magma_dmtransfer( hU, &(precond->U), Magma_CPU, Magma_DEV, queue ));
magma_dmfree(&hA, queue );
magma_dmfree(&hL, queue );
magma_dmfree(&hU, queue );
}
// CUSPARSE context //
CHECK_CUSPARSE( cusparseCreate( &cusparseHandle ));
CHECK_CUSPARSE( cusparseSetStream( cusparseHandle, queue->cuda_stream() ));
CHECK_CUSPARSE( cusparseCreateMatDescr( &descrL ));
CHECK_CUSPARSE( cusparseSetMatType( descrL, CUSPARSE_MATRIX_TYPE_TRIANGULAR ));
CHECK_CUSPARSE( cusparseSetMatDiagType( descrL, CUSPARSE_DIAG_TYPE_UNIT ));
CHECK_CUSPARSE( cusparseSetMatIndexBase( descrL, CUSPARSE_INDEX_BASE_ZERO ));
CHECK_CUSPARSE( cusparseSetMatFillMode( descrL, CUSPARSE_FILL_MODE_LOWER ));
CHECK_CUSPARSE( cusparseCreateSolveAnalysisInfo( &precond->cuinfoL ));
CHECK_CUSPARSE( cusparseDcsrsm_analysis( cusparseHandle,
CUSPARSE_OPERATION_NON_TRANSPOSE, precond->L.num_rows,
precond->L.nnz, descrL,
precond->L.dval, precond->L.drow, precond->L.dcol, precond->cuinfoL ));
CHECK_CUSPARSE( cusparseCreateMatDescr( &descrU ));
CHECK_CUSPARSE( cusparseSetMatType( descrU, CUSPARSE_MATRIX_TYPE_TRIANGULAR ));
CHECK_CUSPARSE( cusparseSetMatDiagType( descrU, CUSPARSE_DIAG_TYPE_NON_UNIT ));
CHECK_CUSPARSE( cusparseSetMatIndexBase( descrU, CUSPARSE_INDEX_BASE_ZERO ));
CHECK_CUSPARSE( cusparseSetMatFillMode( descrU, CUSPARSE_FILL_MODE_UPPER ));
CHECK_CUSPARSE( cusparseCreateSolveAnalysisInfo( &precond->cuinfoU ));
CHECK_CUSPARSE( cusparseDcsrsm_analysis( cusparseHandle,
CUSPARSE_OPERATION_NON_TRANSPOSE, precond->U.num_rows,
precond->U.nnz, descrU,
precond->U.dval, precond->U.drow, precond->U.dcol, precond->cuinfoU ));
if( precond->maxiter < 50 ){
//prepare for iterative solves
// extract the diagonal of L into precond->d
CHECK( magma_djacobisetup_diagscal( precond->L, &precond->d, queue ));
CHECK( magma_dvinit( &precond->work1, Magma_DEV, precond->U.num_rows, 1, MAGMA_D_ZERO, queue ));
// extract the diagonal of U into precond->d2
CHECK( magma_djacobisetup_diagscal( precond->U, &precond->d2, queue ));
CHECK( magma_dvinit( &precond->work2, Magma_DEV, precond->U.num_rows, 1, MAGMA_D_ZERO, queue ));
}
cleanup:
cusparseDestroyMatDescr( descrL );
cusparseDestroyMatDescr( descrU );
cusparseDestroy( cusparseHandle );
return info;
}
extern "C" magma_int_t
magma_dcumilusetup_transpose(
magma_d_matrix A,
magma_d_preconditioner *precond,
magma_queue_t queue )
{
magma_int_t info = 0;
magma_d_matrix Ah1={Magma_CSR}, Ah2={Magma_CSR};
cusparseHandle_t cusparseHandle=NULL;
cusparseMatDescr_t descrLT=NULL;
cusparseMatDescr_t descrUT=NULL;
// CUSPARSE context //
CHECK_CUSPARSE( cusparseCreate( &cusparseHandle ));
CHECK_CUSPARSE( cusparseSetStream( cusparseHandle, queue->cuda_stream() ));
// transpose the matrix
magma_dmtransfer( precond->L, &Ah1, Magma_DEV, Magma_CPU, queue );
magma_dmconvert( Ah1, &Ah2, A.storage_type, Magma_CSR, queue );
magma_dmfree(&Ah1, queue );
magma_dmtransposeconjugate( Ah2, &Ah1, queue );
magma_dmfree(&Ah2, queue );
Ah2.blocksize = A.blocksize;
Ah2.alignment = A.alignment;
magma_dmconvert( Ah1, &Ah2, Magma_CSR, A.storage_type, queue );
magma_dmfree(&Ah1, queue );
magma_dmtransfer( Ah2, &(precond->LT), Magma_CPU, Magma_DEV, queue );
magma_dmfree(&Ah2, queue );
magma_dmtransfer( precond->U, &Ah1, Magma_DEV, Magma_CPU, queue );
magma_dmconvert( Ah1, &Ah2, A.storage_type, Magma_CSR, queue );
magma_dmfree(&Ah1, queue );
magma_dmtransposeconjugate( Ah2, &Ah1, queue );
magma_dmfree(&Ah2, queue );
Ah2.blocksize = A.blocksize;
Ah2.alignment = A.alignment;
magma_dmconvert( Ah1, &Ah2, Magma_CSR, A.storage_type, queue );
magma_dmfree(&Ah1, queue );
magma_dmtransfer( Ah2, &(precond->UT), Magma_CPU, Magma_DEV, queue );
magma_dmfree(&Ah2, queue );
CHECK_CUSPARSE( cusparseCreateMatDescr( &descrLT ));
CHECK_CUSPARSE( cusparseSetMatType( descrLT, CUSPARSE_MATRIX_TYPE_TRIANGULAR ));
CHECK_CUSPARSE( cusparseSetMatDiagType( descrLT, CUSPARSE_DIAG_TYPE_UNIT ));
CHECK_CUSPARSE( cusparseSetMatIndexBase( descrLT, CUSPARSE_INDEX_BASE_ZERO ));
CHECK_CUSPARSE( cusparseSetMatFillMode( descrLT, CUSPARSE_FILL_MODE_UPPER ));
CHECK_CUSPARSE( cusparseCreateSolveAnalysisInfo( &precond->cuinfoLT ));
CHECK_CUSPARSE( cusparseDcsrsm_analysis( cusparseHandle,
CUSPARSE_OPERATION_NON_TRANSPOSE, precond->LT.num_rows,
precond->LT.nnz, descrLT,
precond->LT.dval, precond->LT.drow, precond->LT.dcol, precond->cuinfoLT ));
CHECK_CUSPARSE( cusparseCreateMatDescr( &descrUT ));
CHECK_CUSPARSE( cusparseSetMatType( descrUT, CUSPARSE_MATRIX_TYPE_TRIANGULAR ));
CHECK_CUSPARSE( cusparseSetMatDiagType( descrUT, CUSPARSE_DIAG_TYPE_NON_UNIT ));
CHECK_CUSPARSE( cusparseSetMatIndexBase( descrUT, CUSPARSE_INDEX_BASE_ZERO ));
CHECK_CUSPARSE( cusparseSetMatFillMode( descrUT, CUSPARSE_FILL_MODE_LOWER ));
CHECK_CUSPARSE( cusparseCreateSolveAnalysisInfo( &precond->cuinfoUT ));
CHECK_CUSPARSE( cusparseDcsrsm_analysis( cusparseHandle,
CUSPARSE_OPERATION_NON_TRANSPOSE, precond->UT.num_rows,
precond->UT.nnz, descrUT,
precond->UT.dval, precond->UT.drow, precond->UT.dcol, precond->cuinfoUT ));
cleanup:
cusparseDestroyMatDescr( descrLT );
cusparseDestroyMatDescr( descrUT );
cusparseDestroy( cusparseHandle );
magma_dmfree(&Ah1, queue );
magma_dmfree(&Ah2, queue );
return info;
}
magma_int_t
magma_dnonlinres(
magma_d_matrix A,
magma_d_matrix L,
magma_d_matrix U,
magma_d_matrix *LU,
real_Double_t *res,
magma_queue_t queue )
{
magma_int_t info = 0;
real_Double_t tmp2;
magma_int_t i,j,k;
double one = MAGMA_D_MAKE( 1.0, 0.0 );
magma_d_matrix L_d={Magma_CSR}, U_d={Magma_CSR}, LU_d={Magma_CSR}, A_t={Magma_CSR};
CHECK( magma_dmtransfer( L, &L_d, Magma_CPU, Magma_DEV, queue ));
CHECK( magma_dmtransfer( U, &U_d, Magma_CPU, Magma_DEV, queue ));
CHECK( magma_dmtransfer( A, &A_t, Magma_CPU, Magma_CPU, queue ));
CHECK( magma_d_spmm( one, L_d, U_d, &LU_d, queue ));
CHECK( magma_dmtransfer(LU_d, LU, Magma_DEV, Magma_CPU, queue ));
magma_dmfree( &L_d, queue );
magma_dmfree( &U_d, queue );
magma_dmfree( &LU_d, queue );
// compute Frobenius norm of A-LU
for(i=0; i<A.num_rows; i++){
for(j=A.row[i]; j<A.row[i+1]; j++){
magma_index_t lcol = A.col[j];
double newval = MAGMA_D_MAKE(0.0, 0.0);
for(k=LU->row[i]; k<LU->row[i+1]; k++){
if( LU->col[k] == lcol ){
newval = MAGMA_D_MAKE(
MAGMA_D_REAL( LU->val[k] )- MAGMA_D_REAL( A.val[j] )
, 0.0 );
}
}
A_t.val[j] = newval;
}
}
for(i=0; i<A.num_rows; i++){
for(j=A.row[i]; j<A.row[i+1]; j++){
tmp2 = (real_Double_t) fabs( MAGMA_D_REAL(A_t.val[j]) );
(*res) = (*res) + tmp2* tmp2;
}
}
magma_dmfree( LU, queue );
magma_dmfree( &A_t, queue );
(*res) = sqrt((*res));
cleanup:
if( info !=0 ){
magma_dmfree( LU, queue );
}
magma_dmfree( &A_t, queue );
magma_dmfree( &L_d, queue );
magma_dmfree( &U_d, queue );
magma_dmfree( &LU_d, queue );
return info;
}
extern "C" magma_int_t
magma_dcumiccsetup(
magma_d_matrix A,
magma_d_preconditioner *precond,
magma_queue_t queue )
{
magma_int_t info = 0;
cusparseHandle_t cusparseHandle=NULL;
cusparseMatDescr_t descrA=NULL;
cusparseMatDescr_t descrL=NULL;
cusparseMatDescr_t descrU=NULL;
#if CUDA_VERSION >= 7000
csric02Info_t info_M=NULL;
void *pBuffer = NULL;
#endif
magma_d_matrix hA={Magma_CSR}, hACSR={Magma_CSR}, U={Magma_CSR};
CHECK( magma_dmtransfer( A, &hA, A.memory_location, Magma_CPU, queue ));
U.diagorder_type = Magma_VALUE;
CHECK( magma_dmconvert( hA, &hACSR, hA.storage_type, Magma_CSR, queue ));
// in case using fill-in
if( precond->levels > 0 ){
magma_d_matrix hAL={Magma_CSR}, hAUt={Magma_CSR};
CHECK( magma_dsymbilu( &hACSR, precond->levels, &hAL, &hAUt, queue ));
magma_dmfree(&hAL, queue);
magma_dmfree(&hAUt, queue);
}
CHECK( magma_dmconvert( hACSR, &U, Magma_CSR, Magma_CSRL, queue ));
magma_dmfree( &hACSR, queue );
CHECK( magma_dmtransfer(U, &(precond->M), Magma_CPU, Magma_DEV, queue ));
// CUSPARSE context //
CHECK_CUSPARSE( cusparseCreate( &cusparseHandle ));
CHECK_CUSPARSE( cusparseSetStream( cusparseHandle, queue->cuda_stream() ));
CHECK_CUSPARSE( cusparseCreateMatDescr( &descrA ));
CHECK_CUSPARSE( cusparseCreateSolveAnalysisInfo( &(precond->cuinfo) ));
// use kernel to manually check for zeros n the diagonal
CHECK( magma_ddiagcheck( precond->M, queue ) );
#if CUDA_VERSION >= 7000
// this version has the bug fixed where a zero on the diagonal causes a crash
CHECK_CUSPARSE( cusparseCreateCsric02Info(&info_M) );
CHECK_CUSPARSE( cusparseSetMatType( descrA, CUSPARSE_MATRIX_TYPE_GENERAL ));
CHECK_CUSPARSE( cusparseSetMatIndexBase( descrA, CUSPARSE_INDEX_BASE_ZERO ));
int buffersize;
int structural_zero;
int numerical_zero;
CHECK_CUSPARSE(
cusparseDcsric02_bufferSize( cusparseHandle,
precond->M.num_rows, precond->M.nnz, descrA,
precond->M.dval, precond->M.drow, precond->M.dcol,
info_M,
&buffersize ) );
CHECK( magma_malloc((void**)&pBuffer, buffersize) );
CHECK_CUSPARSE( cusparseDcsric02_analysis( cusparseHandle,
precond->M.num_rows, precond->M.nnz, descrA,
precond->M.dval, precond->M.drow, precond->M.dcol,
info_M, CUSPARSE_SOLVE_POLICY_NO_LEVEL, pBuffer ));
CHECK_CUSPARSE( cusparseXcsric02_zeroPivot( cusparseHandle, info_M, &numerical_zero ) );
CHECK_CUSPARSE( cusparseXcsric02_zeroPivot( cusparseHandle, info_M, &structural_zero ) );
CHECK_CUSPARSE(
cusparseDcsric02( cusparseHandle,
precond->M.num_rows, precond->M.nnz, descrA,
precond->M.dval, precond->M.drow, precond->M.dcol,
info_M, CUSPARSE_SOLVE_POLICY_NO_LEVEL, pBuffer) );
#else
// this version contains the bug but is needed for backward compability
CHECK_CUSPARSE( cusparseSetMatType( descrA, CUSPARSE_MATRIX_TYPE_SYMMETRIC ));
CHECK_CUSPARSE( cusparseSetMatDiagType( descrA, CUSPARSE_DIAG_TYPE_NON_UNIT ));
CHECK_CUSPARSE( cusparseSetMatIndexBase( descrA, CUSPARSE_INDEX_BASE_ZERO ));
CHECK_CUSPARSE( cusparseSetMatFillMode( descrA, CUSPARSE_FILL_MODE_LOWER ));
CHECK_CUSPARSE( cusparseDcsrsm_analysis( cusparseHandle,
CUSPARSE_OPERATION_NON_TRANSPOSE,
precond->M.num_rows, precond->M.nnz, descrA,
precond->M.dval, precond->M.drow, precond->M.dcol,
precond->cuinfo ));
CHECK_CUSPARSE( cusparseDcsric0( cusparseHandle, CUSPARSE_OPERATION_NON_TRANSPOSE,
precond->M.num_rows, descrA,
precond->M.dval,
precond->M.drow,
precond->M.dcol,
precond->cuinfo ));
#endif
CHECK_CUSPARSE( cusparseCreateMatDescr( &descrL ));
CHECK_CUSPARSE( cusparseSetMatType( descrL, CUSPARSE_MATRIX_TYPE_TRIANGULAR ));
CHECK_CUSPARSE( cusparseSetMatDiagType( descrL, CUSPARSE_DIAG_TYPE_NON_UNIT ));
CHECK_CUSPARSE( cusparseSetMatIndexBase( descrL, CUSPARSE_INDEX_BASE_ZERO ));
CHECK_CUSPARSE( cusparseSetMatFillMode( descrL, CUSPARSE_FILL_MODE_LOWER ));
CHECK_CUSPARSE( cusparseCreateSolveAnalysisInfo( &precond->cuinfoL ));
CHECK_CUSPARSE( cusparseDcsrsm_analysis( cusparseHandle,
CUSPARSE_OPERATION_NON_TRANSPOSE, precond->M.num_rows,
precond->M.nnz, descrL,
precond->M.dval, precond->M.drow, precond->M.dcol, precond->cuinfoL ));
CHECK_CUSPARSE( cusparseCreateMatDescr( &descrU ));
CHECK_CUSPARSE( cusparseSetMatType( descrU, CUSPARSE_MATRIX_TYPE_TRIANGULAR ));
CHECK_CUSPARSE( cusparseSetMatDiagType( descrU, CUSPARSE_DIAG_TYPE_NON_UNIT ));
CHECK_CUSPARSE( cusparseSetMatIndexBase( descrU, CUSPARSE_INDEX_BASE_ZERO ));
CHECK_CUSPARSE( cusparseSetMatFillMode( descrU, CUSPARSE_FILL_MODE_LOWER ));
CHECK_CUSPARSE( cusparseCreateSolveAnalysisInfo( &precond->cuinfoU ));
CHECK_CUSPARSE( cusparseDcsrsm_analysis( cusparseHandle,
CUSPARSE_OPERATION_TRANSPOSE, precond->M.num_rows,
precond->M.nnz, descrU,
precond->M.dval, precond->M.drow, precond->M.dcol, precond->cuinfoU ));
if( precond->maxiter < 50 ){
//prepare for iterative solves
// copy the matrix to precond->L and (transposed) to precond->U
CHECK( magma_dmtransfer(precond->M, &(precond->L), Magma_DEV, Magma_DEV, queue ));
CHECK( magma_dmtranspose( precond->L, &(precond->U), queue ));
// extract the diagonal of L into precond->d
CHECK( magma_djacobisetup_diagscal( precond->L, &precond->d, queue ));
CHECK( magma_dvinit( &precond->work1, Magma_DEV, hA.num_rows, 1, MAGMA_D_ZERO, queue ));
// extract the diagonal of U into precond->d2
CHECK( magma_djacobisetup_diagscal( precond->U, &precond->d2, queue ));
CHECK( magma_dvinit( &precond->work2, Magma_DEV, hA.num_rows, 1, MAGMA_D_ZERO, queue ));
}
/*
// to enable also the block-asynchronous iteration for the triangular solves
CHECK( magma_dmtransfer( precond->M, &hA, Magma_DEV, Magma_CPU, queue ));
hA.storage_type = Magma_CSR;
magma_d_matrix hD, hR, hAt
CHECK( magma_dcsrsplit( 256, hA, &hD, &hR, queue ));
CHECK( magma_dmtransfer( hD, &precond->LD, Magma_CPU, Magma_DEV, queue ));
CHECK( magma_dmtransfer( hR, &precond->L, Magma_CPU, Magma_DEV, queue ));
magma_dmfree(&hD, queue );
magma_dmfree(&hR, queue );
CHECK( magma_d_cucsrtranspose( hA, &hAt, queue ));
CHECK( magma_dcsrsplit( 256, hAt, &hD, &hR, queue ));
CHECK( magma_dmtransfer( hD, &precond->UD, Magma_CPU, Magma_DEV, queue ));
CHECK( magma_dmtransfer( hR, &precond->U, Magma_CPU, Magma_DEV, queue ));
magma_dmfree(&hD, queue );
magma_dmfree(&hR, queue );
magma_dmfree(&hA, queue );
magma_dmfree(&hAt, queue );
*/
cleanup:
#if CUDA_VERSION >= 7000
magma_free( pBuffer );
cusparseDestroyCsric02Info( info_M );
#endif
cusparseDestroySolveAnalysisInfo( precond->cuinfo );
cusparseDestroyMatDescr( descrL );
cusparseDestroyMatDescr( descrU );
cusparseDestroyMatDescr( descrA );
cusparseDestroy( cusparseHandle );
magma_dmfree(&U, queue );
magma_dmfree(&hA, queue );
return info;
}
magma_int_t
magma_dilures(
magma_d_matrix A,
magma_d_matrix L,
magma_d_matrix U,
magma_d_matrix *LU,
real_Double_t *res,
real_Double_t *nonlinres,
magma_queue_t queue )
{
magma_int_t info = 0;
double tmp;
real_Double_t tmp2;
magma_int_t i,j,k;
double one = MAGMA_D_MAKE( 1.0, 0.0 );
magma_d_matrix LL={Magma_CSR}, L_d={Magma_CSR}, U_d={Magma_CSR}, LU_d={Magma_CSR};
if( L.row[1]==1 ){ // lower triangular with unit diagonal
//printf("L lower triangular.\n");
LL.diagorder_type = Magma_UNITY;
CHECK( magma_dmconvert( L, &LL, Magma_CSR, Magma_CSRL, queue ));
}
else if( L.row[1]==0 ){ // strictly lower triangular
//printf("L strictly lower triangular.\n");
CHECK( magma_dmtransfer( L, &LL, Magma_CPU, Magma_CPU, queue ));
magma_free_cpu( LL.col );
magma_free_cpu( LL.val );
LL.nnz = L.nnz+L.num_rows;
CHECK( magma_dmalloc_cpu( &LL.val, LL.nnz ));
CHECK( magma_index_malloc_cpu( &LL.col, LL.nnz ));
magma_int_t z=0;
for( magma_int_t i=0; i<L.num_rows; i++){
LL.row[i] = z;
for( magma_int_t j=L.row[i]; j<L.row[i+1]; j++){
LL.val[z] = L.val[j];
LL.col[z] = L.col[j];
z++;
}
// add unit diagonal
LL.val[z] = MAGMA_D_MAKE(1.0, 0.0);
LL.col[z] = i;
z++;
}
LL.row[LL.num_rows] = z;
}
else{
printf("error: L neither lower nor strictly lower triangular!\n");
}
CHECK( magma_dmtransfer( LL, &L_d, Magma_CPU, Magma_DEV, queue ));
CHECK( magma_dmtransfer( U, &U_d, Magma_CPU, Magma_DEV, queue ));
magma_dmfree( &LL, queue );
CHECK( magma_d_spmm( one, L_d, U_d, &LU_d, queue ));
CHECK( magma_dmtransfer(LU_d, LU, Magma_DEV, Magma_CPU, queue ));
magma_dmfree( &L_d, queue );
magma_dmfree( &U_d, queue );
magma_dmfree( &LU_d, queue );
// compute Frobenius norm of A-LU
for(i=0; i<A.num_rows; i++){
for(j=A.row[i]; j<A.row[i+1]; j++){
magma_index_t lcol = A.col[j];
for(k=LU->row[i]; k<LU->row[i+1]; k++){
if( LU->col[k] == lcol ){
tmp = MAGMA_D_MAKE(
MAGMA_D_REAL( LU->val[k] )- MAGMA_D_REAL( A.val[j] )
, 0.0 );
LU->val[k] = tmp;
tmp2 = (real_Double_t) fabs( MAGMA_D_REAL(tmp) );
(*nonlinres) = (*nonlinres) + tmp2*tmp2;
}
}
}
}
for(i=0; i<LU->num_rows; i++){
for(j=LU->row[i]; j<LU->row[i+1]; j++){
tmp2 = (real_Double_t) fabs( MAGMA_D_REAL(LU->val[j]) );
(*res) = (*res) + tmp2* tmp2;
}
}
(*res) = sqrt((*res));
(*nonlinres) = sqrt((*nonlinres));
cleanup:
if( info !=0 ){
magma_dmfree( LU, queue );
}
magma_dmfree( &LL, queue );
magma_dmfree( &L_d, queue );
magma_dmfree( &U_d, queue );
magma_dmfree( &LU_d, queue );
return info;
}
