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/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@author Mark gates
@author Azzam Haidar
@author Tingxing Dong
@precisions normal z -> s d c
*/
// 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"
#if defined(_OPENMP)
#include <omp.h>
#include "../control/magma_threadsetting.h" // internal header
#endif
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zposv_batched
*/
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;
magmaDoubleComplex c_one = MAGMA_Z_ONE;
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magmaDoubleComplex *h_A, *h_B, *h_X;
magmaDoubleComplex_ptr d_A, d_B;
magma_int_t *cpu_info;
magma_int_t *dinfo_array;
magma_int_t N, 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 batchCount;
magmaDoubleComplex **dA_array = NULL;
magmaDoubleComplex **dB_array = NULL;
magma_opts opts( MagmaOptsBatched );
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
magma_queue_t queue = opts.queue;
nrhs = opts.nrhs;
batchCount = opts.batchcount;
printf("%% uplo = %s\n", lapack_uplo_const(opts.uplo) );
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
lddb = ldda;
gflops = ( FLOPS_ZPOTRF( N) + FLOPS_ZPOTRS( N, nrhs ) ) / 1e9 * batchCount;
sizeA = lda*N*batchCount;
sizeB = ldb*nrhs*batchCount;
TESTING_CHECK( magma_zmalloc_cpu( &h_A, sizeA ));
TESTING_CHECK( magma_zmalloc_cpu( &h_B, sizeB ));
TESTING_CHECK( magma_zmalloc_cpu( &h_X, sizeB ));
TESTING_CHECK( magma_dmalloc_cpu( &work, N ));
TESTING_CHECK( magma_imalloc_cpu( &cpu_info, batchCount ));
TESTING_CHECK( magma_zmalloc( &d_A, ldda*N*batchCount ));
TESTING_CHECK( magma_zmalloc( &d_B, lddb*nrhs*batchCount ));
TESTING_CHECK( magma_imalloc( &dinfo_array, batchCount ));
TESTING_CHECK( magma_malloc( (void**) &dA_array, batchCount * sizeof(magmaDoubleComplex*) ));
TESTING_CHECK( magma_malloc( (void**) &dB_array, batchCount * sizeof(magmaDoubleComplex*) ));
/* Initialize the matrices */
lapackf77_zlarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_zlarnv( &ione, ISEED, &sizeB, h_B );
for (int i=0; i < batchCount; i++)
{
magma_zmake_hpd( N, h_A + i * lda * N, lda ); // need modification
}
magma_zsetmatrix( N, N*batchCount, h_A, lda, d_A, ldda, opts.queue );
magma_zsetmatrix( N, nrhs*batchCount, h_B, ldb, d_B, lddb, opts.queue );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
magma_zset_pointer( dA_array, d_A, ldda, 0, 0, ldda*N, batchCount, queue );
magma_zset_pointer( dB_array, d_B, lddb, 0, 0, lddb*nrhs, batchCount, queue );
gpu_time = magma_sync_wtime( opts.queue );
info = magma_zposv_batched(opts.uplo, N, nrhs, dA_array, ldda, dB_array, lddb, dinfo_array, batchCount, 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_array, 1, cpu_info, 1, opts.queue );
for (int i=0; i < batchCount; i++)
{
if (cpu_info[i] != 0 ) {
printf("magma_zposv_batched matrix %lld returned internal error %lld\n",
(long long) i, (long long) cpu_info[i] );
}
}
if (info != 0) {
printf("magma_zposv_batched returned argument error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
//=====================================================================
// Residual
//=====================================================================
magma_zgetmatrix( N, nrhs*batchCount, d_B, lddb, h_X, ldb, opts.queue );
error = 0;
for (magma_int_t s=0; s < batchCount; s++)
{
Anorm = lapackf77_zlange("I", &N, &N, h_A + s * lda * N, &lda, work);
Xnorm = lapackf77_zlange("I", &N, &nrhs, h_X + s * ldb * nrhs, &ldb, work);
blasf77_zgemm( 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_zlange("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();
// #define BATCHED_DISABLE_PARCPU
#if !defined (BATCHED_DISABLE_PARCPU) && defined(_OPENMP)
magma_int_t nthreads = magma_get_lapack_numthreads();
magma_set_lapack_numthreads(1);
magma_set_omp_numthreads(nthreads);
#pragma omp parallel for schedule(dynamic)
#endif
for (magma_int_t s=0; s < batchCount; s++)
{
magma_int_t locinfo;
lapackf77_zposv( lapack_uplo_const(opts.uplo), &N, &nrhs, h_A + s * lda * N, &lda, h_B + s * ldb * nrhs, &ldb, &locinfo );
if (locinfo != 0) {
printf("lapackf77_zposv matrix %lld returned error %lld: %s.\n",
(long long) s, (long long) locinfo, magma_strerror( locinfo ));
}
}
#if !defined (BATCHED_DISABLE_PARCPU) && defined(_OPENMP)
magma_set_lapack_numthreads(nthreads);
#endif
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
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( cpu_info );
magma_free( d_A );
magma_free( d_B );
magma_free( dinfo_array );
magma_free( dA_array );
magma_free( dB_array );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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