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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 testing/testing_zgesv.cpp, normal z -> d, Wed Jan 22 14:40:30 2025
@author Mark Gates
*/
// includes, system
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
// includes, project
#include "flops.h"
#include "magma_v2.h"
#include "magma_lapack.h"
#include "testings.h"
/* ////////////////////////////////////////////////////////////////////////////
-- Testing dgesv
*/
int main(int argc, char **argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflops, cpu_perf, cpu_time, gpu_perf, gpu_time;
double error, lerror, Rnorm, Anorm, Xnorm, *work;
double c_one = MAGMA_D_ONE;
double c_neg_one = MAGMA_D_NEG_ONE;
double *h_A, *h_LU, *h_B, *h_B0, *h_X;
magma_int_t *ipiv;
magma_int_t N, nrhs, lda, ldb, info, sizeB;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
nrhs = opts.nrhs;
printf("%% ngpu %lld\n", (long long) opts.ngpu );
if (opts.lapack) {
printf("%% N NRHS CPU Gflop/s (sec) GPU Gflop/s (sec) ||B - AX|| / N*||A||*||X|| ||B - AX|| / N*||A||*||X||_CPU\n");
printf("%%================================================================================================================\n");
} else {
printf("%% N NRHS CPU Gflop/s (sec) GPU Gflop/s (sec) ||B - AX|| / N*||A||*||X||\n");
printf("%%===============================================================================\n");
}
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
N = opts.nsize[itest];
lda = N;
ldb = lda;
gflops = ( FLOPS_DGETRF( N, N ) + FLOPS_DGETRS( N, nrhs ) ) / 1e9;
TESTING_CHECK( magma_dmalloc_cpu( &h_A, lda*N ));
TESTING_CHECK( magma_dmalloc_cpu( &h_LU, lda*N ));
TESTING_CHECK( magma_dmalloc_cpu( &h_B0, ldb*nrhs ));
TESTING_CHECK( magma_dmalloc_cpu( &h_B, ldb*nrhs ));
TESTING_CHECK( magma_dmalloc_cpu( &h_X, ldb*nrhs ));
TESTING_CHECK( magma_dmalloc_cpu( &work, N ));
TESTING_CHECK( magma_imalloc_cpu( &ipiv, N ));
/* Initialize the matrices */
//sizeA = lda*N;
sizeB = ldb*nrhs;
magma_generate_matrix( opts, N, N, h_A, lda );
lapackf77_dlarnv( &ione, ISEED, &sizeB, h_B );
// copy A to LU and B to X; save A and B for residual
lapackf77_dlacpy( "F", &N, &N, h_A, &lda, h_LU, &lda );
lapackf77_dlacpy( "F", &N, &nrhs, h_B, &ldb, h_X, &ldb );
lapackf77_dlacpy( "F", &N, &nrhs, h_B, &ldb, h_B0, &ldb );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
magma_dgesv( N, nrhs, h_LU, lda, ipiv, h_X, ldb, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_dgesv returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
//=====================================================================
// Residual
//=====================================================================
Anorm = lapackf77_dlange("I", &N, &N, h_A, &lda, work);
Xnorm = lapackf77_dlange("I", &N, &nrhs, h_X, &ldb, work);
blasf77_dgemm( MagmaNoTransStr, MagmaNoTransStr, &N, &nrhs, &N,
&c_one, h_A, &lda,
h_X, &ldb,
&c_neg_one, h_B, &ldb);
Rnorm = lapackf77_dlange("I", &N, &nrhs, h_B, &ldb, work);
error = Rnorm/(N*Anorm*Xnorm);
bool okay = (error < tol);
status += ! okay;
/* ====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
lapackf77_dlacpy( "F", &N, &N, h_A, &lda, h_LU, &lda );
lapackf77_dlacpy( "F", &N, &nrhs, h_B0, &ldb, h_X, &ldb );
cpu_time = magma_wtime();
lapackf77_dgesv( &N, &nrhs, h_LU, &lda, ipiv, h_X, &ldb, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_dgesv returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
//Anorm = lapackf77_dlange("I", &N, &N, h_A, &lda, work);
Xnorm = lapackf77_dlange("I", &N, &nrhs, h_X, &ldb, work);
blasf77_dgemm( MagmaNoTransStr, MagmaNoTransStr, &N, &nrhs, &N,
&c_one, h_A, &lda,
h_X, &ldb,
&c_neg_one, h_B0, &ldb);
Rnorm = lapackf77_dlange("I", &N, &nrhs, h_B0, &ldb, work);
lerror = Rnorm/(N*Anorm*Xnorm);
bool lokay = (lerror < tol);
printf( "%5lld %5lld %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %-6s %8.2e %s\n",
(long long) N, (long long) nrhs, cpu_perf, cpu_time, gpu_perf, gpu_time,
error, (okay ? "ok" : "failed"),
lerror, (lokay ? "ok" : "failed"));
}
else {
printf( "%5lld %5lld --- ( --- ) %7.2f (%7.2f) %8.2e %s\n",
(long long) N, (long long) nrhs, gpu_perf, gpu_time,
error, (okay ? "ok" : "failed"));
}
magma_free_cpu( h_A );
magma_free_cpu( h_LU );
magma_free_cpu( h_B0 );
magma_free_cpu( h_B );
magma_free_cpu( h_X );
magma_free_cpu( work );
magma_free_cpu( ipiv );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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