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/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@generated from sparse/control/magma_zmgenerator.cpp, normal z -> s, Wed Jan 22 14:42:25 2025
@author Hartwig Anzt
*/
#include "magmasparse_internal.h"
/**
Purpose
-------
Generate a symmetric n x n CSR matrix for a stencil.
Arguments
---------
@param[in]
n magma_int_t
number of rows
@param[in]
offdiags magma_int_t
number of offdiagonals
@param[in]
diag_offset magma_int_t*
array containing the offsets
(length offsets+1)
@param[in]
diag_vals float*
array containing the values
(length offsets+1)
@param[out]
A magma_s_matrix*
matrix to generate
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magmasparse_saux
********************************************************************/
extern "C"
magma_int_t
magma_smgenerator(
magma_int_t n,
magma_int_t offdiags,
magma_index_t *diag_offset,
float *diag_vals,
magma_s_matrix *A,
magma_queue_t queue )
{
magma_int_t info = 0;
magma_s_matrix B={Magma_CSR};
B.val = NULL;
B.col = NULL;
B.row = NULL;
B.rowidx = NULL;
B.blockinfo = NULL;
B.diag = NULL;
B.dval = NULL;
B.dcol = NULL;
B.drow = NULL;
B.drowidx = NULL;
B.ddiag = NULL;
B.list = NULL;
B.dlist = NULL;
B.num_rows = n;
B.num_cols = n;
B.fill_mode = MagmaFull;
B.memory_location = Magma_CPU;
B.storage_type = Magma_ELLPACKT;
B.max_nnz_row = (2*offdiags+1);
CHECK( magma_smalloc_cpu( &B.val, B.max_nnz_row*n ));
CHECK( magma_index_malloc_cpu( &B.col, B.max_nnz_row*n ));
for( int i=0; i<n; i++ ) { // stride over rows
// stride over the number of nonzeros in each row
// left of diagonal
for( int j=0; j<offdiags; j++ ) {
B.val[ i*B.max_nnz_row + j ] = diag_vals[ offdiags - j ];
B.col[ i*B.max_nnz_row + j ] = -1 * diag_offset[ offdiags-j ] + i;
}
// elements on the diagonal
B.val[ i*B.max_nnz_row + offdiags ] = diag_vals[ 0 ];
B.col[ i*B.max_nnz_row + offdiags ] = i;
// right of diagonal
for( int j=0; j<offdiags; j++ ) {
B.val[ i*B.max_nnz_row + j + offdiags +1 ] = diag_vals[ j+1 ];
B.col[ i*B.max_nnz_row + j + offdiags +1 ] = diag_offset[ j+1 ] + i;
}
}
// set invalid entries to zero
for( int i=0; i<n; i++ ) { // stride over rows
for( int j=0; j<B.max_nnz_row; j++ ) { // nonzeros in every row
if ( (B.col[i*B.max_nnz_row + j] < 0) ||
(B.col[i*B.max_nnz_row + j] >= n) ) {
B.val[ i*B.max_nnz_row + j ] = MAGMA_S_MAKE( 0.0, 0.0 );
}
}
}
B.nnz = 0;
for( int i=0; i<n; i++ ) { // stride over rows
for( int j=0; j<B.max_nnz_row; j++ ) { // nonzeros in every row
if ( MAGMA_S_REAL( B.val[i*B.max_nnz_row + j]) != 0.0 )
B.nnz++;
}
}
B.true_nnz = B.nnz;
// converting it to CSR will remove the invalit entries completely
CHECK( magma_smconvert( B, A, Magma_ELLPACKT, Magma_CSR, queue ));
cleanup:
if( info != 0 ){
magma_smfree( &B, queue );
}
return info;
}
/**
Purpose
-------
Generate a 27-point stencil for a 3D FD discretization.
Arguments
---------
@param[in]
n magma_int_t
number of rows
@param[out]
A magma_s_matrix*
matrix to generate
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magmasparse_saux
********************************************************************/
extern "C"
magma_int_t
magma_sm_27stencil(
magma_int_t n,
magma_s_matrix *A,
magma_queue_t queue )
{
magma_int_t info = 0;
magma_int_t i,j,k;
magma_s_matrix hA={Magma_CSR};
// generate matrix of desired structure and size (3d 27-point stencil)
magma_int_t nn = n*n*n;
magma_int_t offdiags = 13;
magma_index_t *diag_offset=NULL;
float *diag_vals=NULL;
CHECK( magma_smalloc_cpu( &diag_vals, offdiags+1 ));
CHECK( magma_index_malloc_cpu( &diag_offset, offdiags+1 ));
diag_offset[0] = 0;
diag_offset[1] = 1;
diag_offset[2] = n-1;
diag_offset[3] = n;
diag_offset[4] = n+1;
diag_offset[5] = n*n-n-1;
diag_offset[6] = n*n-n;
diag_offset[7] = n*n-n+1;
diag_offset[8] = n*n-1;
diag_offset[9] = n*n;
diag_offset[10] = n*n+1;
diag_offset[11] = n*n+n-1;
diag_offset[12] = n*n+n;
diag_offset[13] = n*n+n+1;
diag_vals[0] = MAGMA_S_MAKE( 26.0, 0.0 );
diag_vals[1] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[2] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[3] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[4] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[5] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[6] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[7] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[8] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[9] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[10] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[11] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[12] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[13] = MAGMA_S_MAKE( -1.0, 0.0 );
CHECK( magma_smgenerator( nn, offdiags, diag_offset, diag_vals, &hA, queue ));
// now set some entries to zero (boundary...)
for( i=0; i < n*n; i++ ) {
for( j=0; j < n; j++ ) {
magma_index_t row = i*n+j;
for( k=hA.row[row]; k<hA.row[row+1]; k++) {
if ((hA.col[k] == row-1 ||
hA.col[k] == row-n-1 ||
hA.col[k] == row+n-1 ||
hA.col[k] == row-n*n+n-1 ||
hA.col[k] == row+n*n-n-1 ||
hA.col[k] == row-n*n-1 ||
hA.col[k] == row+n*n-1 ||
hA.col[k] == row-n*n-n-1 ||
hA.col[k] == row+n*n+n-1 ) && (row+1)%n == 1 )
hA.val[k] = MAGMA_S_MAKE( 0.0, 0.0 );
if ((hA.col[k] == row+1 ||
hA.col[k] == row-n+1 ||
hA.col[k] == row+n+1 ||
hA.col[k] == row-n*n+n+1 ||
hA.col[k] == row+n*n-n+1 ||
hA.col[k] == row-n*n+1 ||
hA.col[k] == row+n*n+1 ||
hA.col[k] == row-n*n-n+1 ||
hA.col[k] == row+n*n+n+1 ) && (row)%n ==n-1 )
hA.val[k] = MAGMA_S_MAKE( 0.0, 0.0 );
}
}
}
hA.true_nnz = hA.nnz;
if (A->ownership) {
magma_smfree( A, queue );
}
A->ownership = MagmaTrue;
CHECK( magma_smconvert( hA, A, Magma_CSR, Magma_CSR, queue ));
cleanup:
magma_free_cpu( diag_vals );
magma_free_cpu( diag_offset );
magma_smfree( &hA, queue );
return info;
}
/**
Purpose
-------
Generate a 5-point stencil for a 2D FD discretization.
Arguments
---------
@param[in]
n magma_int_t
number of rows
@param[out]
A magma_s_matrix*
matrix to generate
@param[in]
queue magma_queue_t
Queue to execute in.
@ingroup magmasparse_saux
********************************************************************/
extern "C"
magma_int_t
magma_sm_5stencil(
magma_int_t n,
magma_s_matrix *A,
magma_queue_t queue )
{
magma_int_t info = 0;
magma_int_t i,j,k;
magma_s_matrix hA={Magma_CSR};
// generate matrix of desired structure and size (2d 5-point stencil)
magma_int_t nn = n*n;
magma_int_t offdiags = 2;
magma_index_t *diag_offset=NULL;
float *diag_vals=NULL;
CHECK( magma_smalloc_cpu( &diag_vals, offdiags+1 ));
CHECK( magma_index_malloc_cpu( &diag_offset, offdiags+1 ));
magma_smfree( A, queue );
A->ownership = MagmaTrue;
diag_offset[0] = 0;
diag_offset[1] = 1;
diag_offset[2] = n;
#define REAL
#ifdef COMPLEX
// real case
diag_vals[0] = MAGMA_S_MAKE( 4.0, 4.0 );
diag_vals[1] = MAGMA_S_MAKE( -1.0, -1.0 );
diag_vals[2] = MAGMA_S_MAKE( -1.0, -1.0 );
#else
// real case
diag_vals[0] = MAGMA_S_MAKE( 4.0, 0.0 );
diag_vals[1] = MAGMA_S_MAKE( -1.0, 0.0 );
diag_vals[2] = MAGMA_S_MAKE( -1.0, 0.0 );
#endif
CHECK( magma_smgenerator( nn, offdiags, diag_offset, diag_vals, &hA, queue ));
// now set some entries to zero (boundary...)
for( i=0; i<n; i++ ) {
for( j=0; j<n; j++ ) {
magma_index_t row = i*n+j;
for( k=hA.row[row]; k<hA.row[row+1]; k++) {
if ((hA.col[k] == row-1 ) && (row+1)%n == 1 )
hA.val[k] = MAGMA_S_MAKE( 0.0, 0.0 );
if ((hA.col[k] == row+1 ) && (row)%n ==n-1 )
hA.val[k] = MAGMA_S_MAKE( 0.0, 0.0 );
}
}
}
CHECK( magma_smconvert( hA, A, Magma_CSR, Magma_CSR, queue ));
magma_smcsrcompressor( A, queue );
A->true_nnz = A->nnz;
cleanup:
magma_free_cpu( diag_vals );
magma_free_cpu( diag_offset );
magma_smfree( &hA, queue );
return info;
}
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