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/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@precisions normal z -> c d s
@author Hartwig Anzt
*/
// includes, system
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
// includes CUDA
#include <cuda_runtime_api.h>
#include <cublas.h>
#include <cusparse_v2.h>
#include <cuda_profiler_api.h>
// includes, project
#include "magma_v2.h"
#include "magmasparse.h"
#include "testings.h"
#define PRECISION_z
int main( int argc, char** argv)
{
// generates the exact preconditioner for system IC
// and uses then update sweeps for all others
TESTING_CHECK( magma_init() );
magma_print_environment();
magma_queue_t queue=NULL;
magma_queue_create( 0, &queue );
real_Double_t start, end;
real_Double_t t_cusparse, t_chow;
magma_z_matrix hA={Magma_CSR}, hAL={Magma_CSR},
hAU={Magma_CSR}, hAUt={Magma_CSR}, hLCU={Magma_CSR}, hUCU={Magma_CSR},
hAcusparse={Magma_CSR}, hAtmp={Magma_CSR}, dA={Magma_CSR}, hLU={Magma_CSR},
dL={Magma_CSR}, dU={Magma_CSR}, hL={Magma_CSR}, hU={Magma_CSR},
hUT={Magma_CSR};
int inp=1;
//################################################################//
// read matrix from file //
//################################################################//
while( inp < argc ) {
if ( strcmp("LAPLACE2D", argv[inp]) == 0 && inp+1 < argc ) { // Laplace test
inp++;
magma_int_t laplace_size = atoi( argv[inp] );
TESTING_CHECK( magma_zm_5stencil( laplace_size, &hA, queue ));
} else { // file-matrix test
TESTING_CHECK( magma_z_csr_mtx( &hA, argv[inp], queue ));
inp++;
}
// scale to unit diagonal
TESTING_CHECK( magma_zmscale( &hA, Magma_UNITDIAG, queue ) );
//################################################################//
// cuSPARSE reference ILU //
//################################################################//
real_Double_t cunonlinres = 0.0;
real_Double_t cuilures = 0.0;
magma_z_mtransfer( hA, &dA, Magma_CPU, Magma_DEV, queue );
// CUSPARSE context //
cusparseHandle_t cusparseHandle;
cusparseStatus_t cusparseStatus;
cusparseStatus = cusparseCreate(&cusparseHandle);
if(cusparseStatus != 0) printf("error in Handle.\n");
cusparseMatDescr_t descrA;
cusparseStatus = cusparseCreateMatDescr(&descrA);
if(cusparseStatus != 0) printf("error in MatrDescr.\n");
cusparseStatus =
cusparseSetMatType(descrA,CUSPARSE_MATRIX_TYPE_GENERAL);
if(cusparseStatus != 0) printf("error in MatrType.\n");
cusparseStatus =
cusparseSetMatDiagType (descrA, CUSPARSE_DIAG_TYPE_NON_UNIT);
if(cusparseStatus != 0) printf("error in DiagType.\n");
cusparseStatus =
cusparseSetMatIndexBase(descrA,CUSPARSE_INDEX_BASE_ZERO);
if(cusparseStatus != 0) printf("error in IndexBase.\n");
cusparseSolveAnalysisInfo_t info;
cusparseStatus =
cusparseCreateSolveAnalysisInfo(&info);
if(cusparseStatus != 0) printf("error in info.\n");
start = magma_sync_wtime( queue );
cusparseStatus =
cusparseZcsrsv_analysis( cusparseHandle,
CUSPARSE_OPERATION_NON_TRANSPOSE,
dA.num_rows, dA.nnz, descrA,
dA.val, dA.row, dA.col, info);
if(cusparseStatus != 0) printf("error in analysis.\n");
cusparseStatus =
cusparseZcsrilu0( cusparseHandle, CUSPARSE_OPERATION_NON_TRANSPOSE,
dA.num_rows, descrA,
(magmaDoubleComplex*) dA.val, (const int *) dA.row,
(const int *) dA.col, info);
if(cusparseStatus != 0) printf("error in ILU.\n");
//magma_zprint_matrix(dA, queue); getchar();
end = magma_sync_wtime( queue );
t_cusparse = end-start;
cusparseDestroySolveAnalysisInfo( info );
if(cusparseStatus != 0) printf("error in info-free.\n");
// end CUSPARSE context //
magma_z_mtransfer( dA, &hAcusparse, Magma_DEV, Magma_CPU, queue );
magma_z_mconvert( hAcusparse, &hLCU, Magma_CSR, Magma_CSRL, queue );
magma_z_mconvert( hAcusparse, &hUCU, Magma_CSR, Magma_CSRU, queue );
magma_zilures( hA, hLCU, hUCU, &hLU, &cuilures, &cunonlinres, queue );
magma_z_mfree( &hLCU, queue );
magma_z_mfree( &hUCU, queue );
magma_z_mfree( &hLU, queue );
//################################################################//
// end cuSPARSE reference ILU //
//################################################################//
// reorder the matrix determining the update processing order
magma_z_sparse_matrix hAcopy, hACSRCOO, dAinitguess;
magma_z_mtransfer( hA, &hAcopy, Magma_CPU, Magma_CPU, queue );
// --------------- initial error and residual -----------//
magma_zsymbilu( &hAcopy, 0, &hAL, &hAU, queue );
real_Double_t initres = 0.0;
real_Double_t initilures = 0.0;
real_Double_t initnonlinres = 0.0;
magma_zmlumerge( hAL, hAU, &hAtmp, queue );
// frobenius norm of error
magma_zfrobenius( hAcusparse, hAtmp, &initres, queue );
// ilu residual
magma_zilures( hA, hAL, hAU, &hLU, &initilures, &initnonlinres, queue );
// free what we don't need any more
magma_z_mfree( &hAtmp, queue );
magma_z_mfree( &hAL, queue );
magma_z_mfree( &hAU, queue );
for( int localiters = 1; localiters < 2; localiters++){ //local iterations
// printf("\n\nLaplace3D_%d = [\n", 32*(matrix-7));
// ---------------- iteration matrices ------------------- //
// possibility to increase fill-in in ILU-(m)
//ILU-m levels
for( int levels = 0; levels < 1; levels++){ //ILU-m levels
//{int levels = atoi( argv[1]);
magma_z_mtransfer( hA, &hAcopy, Magma_CPU, Magma_CPU, queue );
magma_zsymbilu( &hAcopy, levels, &hAL, &hAUt, queue );
printf("ILU%d = [", levels);
printf("\n%%#=======================================================================================================#\n");
printf("%%#\t#nnz\titers\tbs\tILU-time\tParILU-time\tILU-ILUres\tParILU-ILUres\tParILU-nonlinres\t\tscaled \n");
// add a unit diagonal to L for the algorithm
magma_zmLdiagadd( &hAL, queue );
// transpose U for the algorithm
magma_z_cucsrtranspose( hAUt, &hAU, queue );
magma_z_mfree( &hAUt, queue );
// scale to unit diagonal
//magma_zmscale( &hAU, Magma_UNITDIAG, queue );
/*
// need only lower triangular
magma_z_mfree(&hAL);
hAL.diagorder_type == Magma_UNITY;
magma_z_mconvert( hA, &hAL, Magma_CSR, Magma_CSRL, queue );
*/
// ---------------- initial guess ------------------- //
magma_z_mconvert( hAcopy, &hACSRCOO, Magma_CSR, Magma_CSRCOO, queue );
int blocksize = 1;
//magma_zmreorder( hACSRCOO, n, blocksize, blocksize, blocksize, &hAinitguess, queue );
//magma_z_mfree(&hAinitguess);
magma_z_mtransfer( hACSRCOO, &dAinitguess, Magma_CPU, Magma_DEV, queue );
magma_z_mfree(&hACSRCOO, queue );
//################################################################//
// iterative ILU //
//################################################################//
// number of AILU sweeps
for(int iters=0; iters<101; iters+=1){
// take average results for residuals
real_Double_t resavg = 0.0;
real_Double_t iluresavg = 0.0;
real_Double_t nonlinresavg = 0.0;
int nnz, numavg = 1;
//multiple runs
for(int z=0; z<numavg; z++){
real_Double_t res = 0.0;
real_Double_t ilures = 0.0;
real_Double_t nonlinres = 0.0;
// transfer the factor L and U
magma_z_mtransfer( hAL, &dL, Magma_CPU, Magma_DEV, queue );
magma_z_mtransfer( hAU, &dU, Magma_CPU, Magma_DEV, queue );
// iterative ILU embedded in timing
start = magma_sync_wtime( queue );
for(int i=0; i<iters; i++){
cudaProfilerStart();
magma_zparilu_csr( dAinitguess, dL, dU, queue );
cudaProfilerStop();
}
end = magma_sync_wtime( queue );
t_chow = end-start;
// check the residuals
magma_z_mtransfer( dL, &hL, Magma_DEV, Magma_CPU, queue );
magma_z_mtransfer( dU, &hU, Magma_DEV, Magma_CPU, queue );
magma_z_cucsrtranspose( hU, &hUT, queue );
magma_z_mfree(&dL, queue );
magma_z_mfree(&dU, queue );
magma_zmlumerge( hL, hUT, &hAtmp, queue );
// frobenius norm of error
magma_zfrobenius( hAcusparse, hAtmp, &res, queue );
//magma_zprint_matrix(hAtmp, queue); getchar();
// ilu residual
magma_zilures( hA, hL, hUT, &hLU, &ilures, &nonlinres, queue );
iluresavg += ilures;
resavg += res;
nonlinresavg += nonlinres;
nnz = hAtmp.nnz;
magma_z_mfree( &hL, queue );
magma_z_mfree( &hU, queue );
magma_z_mfree( &hUT, queue );
magma_z_mfree( &hAtmp, queue );
}//multiple runs
iluresavg = iluresavg/numavg;
resavg = resavg/numavg;
nonlinresavg = nonlinresavg/numavg;
printf(" %d\t%d\t%d\t%d\t%.2e\t",
levels, nnz, 1* iters, blocksize, t_cusparse);
printf(" %.2e\t%.4e\t%.4e\t%.4e\t%.4e\t%.4e\t\n",
t_chow, cuilures, iluresavg, nonlinresavg, iluresavg/initilures, nonlinresavg/initnonlinres);
// printf(" %.2e & ", iluresavg);
}// iters
magma_z_mfree( &hAcopy, queue );
printf("\n%%#=======================================================================================================#\n]; \n");
}// levels
}// localiters
// free all memory
magma_z_mfree( &hAL, queue );
magma_z_mfree( &hAU, queue );
magma_z_mfree( &hAcusparse, queue );
magma_z_mfree( &dA, queue );
magma_z_mfree( &dAinitguess, queue );
magma_z_mfree( &hA, queue );
}// multiple matrices
magma_queue_destroy( queue );
TESTING_CHECK( magma_finalize() );
return 0;
}
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