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/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
*/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include "flops.h"
#include "magma_v2.h"
#include "magma_lapack.h"
#include "testings.h"
#define ANSI_COLOR_MAGENTA "\x1b[35m"
#define ANSI_COLOR_RESET "\x1b[0m"
static inline bool begins( std::string const &str, std::string const &prefix )
{
return (str.compare( 0, prefix.size(), prefix) == 0);
}
int main(int argc, char **argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflopsF, gflopsS, gpu_perf, gpu_time;
real_Double_t gpu_perfdf, gpu_perfds;
real_Double_t gpu_perfsf, gpu_perfss;
double error, Rnorm, Anorm;
double c_one = MAGMA_D_ONE;
double c_neg_one = MAGMA_D_NEG_ONE;
double *h_A, *h_B, *h_X;
magmaDouble_ptr d_A, d_B, d_X, d_workd;
magmaFloat_ptr d_As, d_Bs, d_works;
double *h_workd;
magma_int_t lda, ldb, ldx;
magma_int_t N, nrhs, posv_iter, info, size;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
printf("%% Epsilon(double): %8.6e\n"
"%% Epsilon(single): %8.6e\n\n",
lapackf77_dlamch("Epsilon"), lapackf77_slamch("Epsilon") );
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
nrhs = opts.nrhs;
if( !begins(opts.matrix, "poev") ) {
printf(ANSI_COLOR_MAGENTA "%% WARNING: matrix option \"%s\" will be explicitly made SPD\n" ANSI_COLOR_RESET, opts.matrix.c_str());
printf(ANSI_COLOR_MAGENTA "%% Use matrix option \"poev\" or \"poev_<distribution>\" to avoid this warning\n\n" ANSI_COLOR_RESET);
}
printf("%% uplo = %s\n", lapack_uplo_const(opts.uplo));
printf("%% N NRHS DP-Factor DP-Solve SP-Factor SP-Solve MP-Solve Iter |b-Ax|/|A|\n");
printf("%%====================================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
N = opts.nsize[itest];
ldb = ldx = lda = N;
gflopsF = FLOPS_DPOTRF( N ) / 1e9;
gflopsS = gflopsF + FLOPS_DPOTRS( N, nrhs ) / 1e9;
TESTING_CHECK( magma_dmalloc_cpu( &h_A, lda*N ));
TESTING_CHECK( magma_dmalloc_cpu( &h_B, ldb*nrhs ));
TESTING_CHECK( magma_dmalloc_cpu( &h_X, ldx*nrhs ));
TESTING_CHECK( magma_dmalloc_cpu( &h_workd, N ));
TESTING_CHECK( magma_dmalloc( &d_A, lda*N ));
TESTING_CHECK( magma_dmalloc( &d_B, ldb*nrhs ));
TESTING_CHECK( magma_dmalloc( &d_X, ldx*nrhs ));
TESTING_CHECK( magma_smalloc( &d_works, lda*(N+nrhs) + N )); // an extra 'N' is required to store the diagonal
TESTING_CHECK( magma_dmalloc( &d_workd, N*nrhs ));
/* Initialize the matrix */
magma_generate_matrix(opts, N, N, h_A, lda );
if( !begins(opts.matrix, "poev") ) {
magma_dmake_hpd( N, h_A, lda );
}
size = ldb * nrhs;
lapackf77_dlarnv( &ione, ISEED, &size, h_B );
magma_dsetmatrix( N, N, h_A, lda, d_A, lda, opts.queue );
magma_dsetmatrix( N, nrhs, h_B, ldb, d_B, ldb, opts.queue );
//=====================================================================
// Mixed Precision Iterative Refinement - GPU
//=====================================================================
gpu_time = magma_wtime();
if(opts.version == 1) {
magma_dshposv_gpu(
opts.uplo, N, nrhs,
d_A, lda,
d_B, ldb,
d_X, ldx,
&posv_iter, &info);
}
else if (opts.version == 2) {
magma_dshposv_native(
opts.uplo, N, nrhs,
d_A, lda,
d_B, ldb,
d_X, ldx,
&posv_iter, &info);
}
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflopsS / gpu_time;
if (info != 0) {
printf("magma_dshposv returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
//=====================================================================
// Error Computation
//=====================================================================
magma_dgetmatrix( N, nrhs, d_X, ldx, h_X, ldx, opts.queue );
Anorm = safe_lapackf77_dlansy( "I", lapack_uplo_const(opts.uplo), &N, h_A, &lda, h_workd);
blasf77_dsymm( "L", lapack_uplo_const(opts.uplo), &N, &nrhs,
&c_one, h_A, &lda,
h_X, &ldx,
&c_neg_one, h_B, &ldb);
Rnorm = lapackf77_dlange( "I", &N, &nrhs, h_B, &ldb, h_workd);
error = Rnorm / (N * Anorm);
//=====================================================================
// Double Precision Factor
//=====================================================================
magma_dsetmatrix( N, N, h_A, lda, d_A, lda, opts.queue );
gpu_time = magma_wtime();
if(opts.version == 1) {
magma_dpotrf_gpu(opts.uplo, N, d_A, lda, &info);
}
else{
magma_dpotrf_native(opts.uplo, N, d_A, lda, &info);
}
gpu_time = magma_wtime() - gpu_time;
gpu_perfdf = gflopsF / gpu_time;
if (info != 0) {
printf("magma_dpotrf returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
//=====================================================================
// Double Precision Solve
//=====================================================================
magma_dsetmatrix( N, N, h_A, lda, d_A, lda, opts.queue );
magma_dsetmatrix( N, nrhs, h_B, ldb, d_B, ldb, opts.queue );
gpu_time = magma_wtime();
if(opts.version == 1) {
magma_dpotrf_gpu(opts.uplo, N, d_A, lda, &info);
}
else{
magma_dpotrf_native(opts.uplo, N, d_A, lda, &info);
}
magma_dpotrs_gpu(opts.uplo, N, nrhs, d_A, lda, d_B, ldb, &info);
gpu_time = magma_wtime() - gpu_time;
gpu_perfds = gflopsS / gpu_time;
if (info != 0) {
printf("magma_dpotrs returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
//=====================================================================
// Single Precision Factor
//=====================================================================
d_As = d_works;
d_Bs = d_works + lda*N;
magma_dsetmatrix( N, N, h_A, lda, d_A, lda, opts.queue );
magma_dsetmatrix( N, nrhs, h_B, ldb, d_B, ldb, opts.queue );
magmablas_dlag2s( N, N, d_A, lda, d_As, N, opts.queue, &info );
magmablas_dlag2s( N, nrhs, d_B, ldb, d_Bs, N, opts.queue, &info );
gpu_time = magma_wtime();
if(opts.version == 1) {
magma_spotrf_gpu(opts.uplo, N, d_As, N, &info);
}
else{
magma_spotrf_native(opts.uplo, N, d_As, N, &info);
}
gpu_time = magma_wtime() - gpu_time;
gpu_perfsf = gflopsF / gpu_time;
if (info != 0) {
printf("magma_spotrf returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
//=====================================================================
// Single Precision Solve
//=====================================================================
magmablas_dlag2s(N, N, d_A, lda, d_As, N, opts.queue, &info );
magmablas_dlag2s(N, nrhs, d_B, ldb, d_Bs, N, opts.queue, &info );
gpu_time = magma_wtime();
if(opts.version == 1) {
magma_spotrf_gpu(opts.uplo, N, d_As, N, &info);
}
else{
magma_spotrf_native(opts.uplo, N, d_As, N, &info);
}
magma_spotrs_gpu(opts.uplo, N, nrhs, d_As, N, d_Bs, N, &info);
gpu_time = magma_wtime() - gpu_time;
gpu_perfss = gflopsS / gpu_time;
if (info != 0) {
printf("magma_spotrs returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
printf(" %5lld %4lld %7.2f %7.2f %7.2f %7.2f %7.2f %4lld %8.2e %s\n",
(long long) N, (long long) nrhs,
gpu_perfdf, gpu_perfds, gpu_perfsf, gpu_perfss, gpu_perf,
(long long) posv_iter, error, (error < tol ? "ok" : "failed"));
status += ! (error < tol);
magma_free_cpu( h_A );
magma_free_cpu( h_B );
magma_free_cpu( h_X );
magma_free_cpu( h_workd );
magma_free( d_A );
magma_free( d_B );
magma_free( d_X );
magma_free( d_works );
magma_free( d_workd );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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