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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_nopiv_batched.cpp, normal z -> d, Wed Jan 22 14:40:44 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_gpu
*/
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, Rnorm, Anorm, Xnorm, *work;
double c_one = MAGMA_D_ONE;
double c_neg_one = MAGMA_D_NEG_ONE;
double *h_A, *h_B, *h_X;
double *d_A, *d_B;
double **d_A_array, **d_B_array;
magma_int_t *ipiv, *cpu_info;
magma_int_t N, n2, nrhs, lda, ldb, ldda, lddb, info, sizeA, sizeB;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
int status = 0;
magma_int_t *dinfo_magma;
magma_int_t batchCount;
magma_opts opts( MagmaOptsBatched );
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
batchCount = opts.batchcount;
magma_int_t columns;
nrhs = opts.nrhs;
printf("%% Batchcount 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;
ldda = magma_roundup( N, opts.align ); // multiple of 32 by default
n2 = lda*N * batchCount;
lddb = ldda;
gflops = ( FLOPS_DGETRF( N, N ) + FLOPS_DGETRS( N, nrhs ) ) / 1e9 * batchCount;
TESTING_CHECK( magma_dmalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_dmalloc_cpu( &h_B, ldb*nrhs*batchCount ));
TESTING_CHECK( magma_dmalloc_cpu( &h_X, ldb*nrhs*batchCount ));
TESTING_CHECK( magma_dmalloc_cpu( &work, N ));
TESTING_CHECK( magma_imalloc_cpu( &ipiv, N ));
TESTING_CHECK( magma_imalloc_cpu( &cpu_info, batchCount ));
TESTING_CHECK( magma_imalloc( &dinfo_magma, batchCount ));
TESTING_CHECK( magma_dmalloc( &d_A, ldda*N*batchCount ));
TESTING_CHECK( magma_dmalloc( &d_B, lddb*nrhs*batchCount ));
TESTING_CHECK( magma_malloc( (void**) &d_A_array, batchCount * sizeof(double*) ));
TESTING_CHECK( magma_malloc( (void**) &d_B_array, batchCount * sizeof(double*) ));
/* Initialize the matrices */
sizeA = n2;
sizeB = ldb*nrhs*batchCount;
lapackf77_dlarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_dlarnv( &ione, ISEED, &sizeB, h_B );
// make A diagonally dominant, to not need pivoting
for( int s=0; s < batchCount; ++s ) {
for( int i=0; i < N; ++i ) {
h_A[ i + i*lda + s*lda*N ] = MAGMA_D_MAKE(
MAGMA_D_REAL( h_A[ i + i*lda + s*lda*N ] ) + N,
MAGMA_D_IMAG( h_A[ i + i*lda + s*lda*N ] ));
}
}
columns = N * batchCount;
magma_dsetmatrix( N, columns, h_A, lda, d_A, ldda, opts.queue );
magma_dsetmatrix( N, nrhs*batchCount, h_B, ldb, d_B, lddb, opts.queue );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
magma_dset_pointer( d_A_array, d_A, ldda, 0, 0, ldda*N, batchCount, opts.queue );
magma_dset_pointer( d_B_array, d_B, lddb, 0, 0, lddb*nrhs, batchCount, opts.queue );
gpu_time = magma_sync_wtime( opts.queue );
if(opts.version == 1) {
info = magma_dgesv_nopiv_batched(
N, nrhs,
d_A_array, ldda,
d_B_array, lddb,
dinfo_magma, batchCount, opts.queue );
}
else {
info = magma_dgesv_rbt_batched(
N, nrhs,
d_A_array, ldda,
d_B_array, lddb,
dinfo_magma, batchCount, opts.queue);
}
gpu_time = magma_sync_wtime( opts.queue ) - gpu_time;
gpu_perf = gflops / gpu_time;
// check correctness of results throught "dinfo_magma" and correctness of argument throught "info"
magma_getvector( batchCount, sizeof(magma_int_t), dinfo_magma, 1, cpu_info, 1, opts.queue );
for (int i=0; i < batchCount; i++)
{
if (cpu_info[i] != 0 ) {
printf("magma_dgesv_nopiv_batched matrix %lld returned internal error %lld\n",
(long long) i, (long long) cpu_info[i] );
}
}
if (info != 0) {
printf("magma_dgesv_nopiv_batched returned argument error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
//=====================================================================
// Residual
//=====================================================================
error = 0;
magma_dgetmatrix( N, nrhs*batchCount, d_B, lddb, h_X, ldb, opts.queue );
for (magma_int_t s = 0; s < batchCount; s++)
{
Anorm = lapackf77_dlange("I", &N, &N, h_A+s*lda*N, &lda, work);
Xnorm = lapackf77_dlange("I", &N, &nrhs, h_X+s*ldb*nrhs, &ldb, work);
blasf77_dgemm( MagmaNoTransStr, MagmaNoTransStr, &N, &nrhs, &N,
&c_one, h_A+s*lda*N, &lda,
h_X+s*ldb*nrhs, &ldb,
&c_neg_one, h_B+s*ldb*nrhs, &ldb);
Rnorm = lapackf77_dlange("I", &N, &nrhs, h_B+s*ldb*nrhs, &ldb, work);
double err = Rnorm/(N*Anorm*Xnorm);
if (std::isnan(err) || std::isinf(err)) {
error = err;
break;
}
error = max( err, error );
}
bool okay = (error < tol);
status += ! okay;
/* ====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
lapackf77_dgesv( &N, &nrhs, h_A, &lda, ipiv, h_B, &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 ));
}
printf( "%10lld %5lld %5lld %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(long long) batchCount, (long long) N, (long long) nrhs, cpu_perf, cpu_time, gpu_perf, gpu_time,
error, (okay ? "ok" : "failed"));
}
else {
printf( "%10lld %5lld %5lld --- ( --- ) %7.2f (%7.2f) %8.2e %s\n",
(long long) batchCount, (long long) N, (long long) nrhs, gpu_perf, gpu_time,
error, (okay ? "ok" : "failed"));
}
magma_free_cpu( h_A );
magma_free_cpu( h_B );
magma_free_cpu( h_X );
magma_free_cpu( work );
magma_free_cpu( ipiv );
magma_free_cpu( cpu_info );
magma_free( dinfo_magma );
magma_free( d_A );
magma_free( d_B );
magma_free( d_A_array );
magma_free( d_B_array );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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