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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 Azzam Haidar
@author Tingxing Dong
@generated from testing/testing_zgetrf_nopiv_batched.cpp, normal z -> d, Wed Jan 22 14:40:44 2025
*/
// includes, system
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
// includes, project
#include "flops.h"
#include "magma_v2.h"
#include "magma_lapack.h"
#include "testings.h"
double get_LU_error(magma_int_t M, magma_int_t N,
double *A, magma_int_t lda,
double *LU, magma_int_t *IPIV)
{
magma_int_t min_mn = min(M,N);
magma_int_t ione = 1;
magma_int_t i, j;
double alpha = MAGMA_D_ONE;
double beta = MAGMA_D_ZERO;
double *L, *U;
double work[1], matnorm, residual;
TESTING_CHECK( magma_dmalloc_cpu( &L, M*min_mn ));
TESTING_CHECK( magma_dmalloc_cpu( &U, min_mn*N ));
memset( L, 0, M*min_mn*sizeof(double) );
memset( U, 0, min_mn*N*sizeof(double) );
lapackf77_dlaswp( &N, A, &lda, &ione, &min_mn, IPIV, &ione);
lapackf77_dlacpy( MagmaLowerStr, &M, &min_mn, LU, &lda, L, &M );
lapackf77_dlacpy( MagmaUpperStr, &min_mn, &N, LU, &lda, U, &min_mn );
for (j=0; j < min_mn; j++)
L[j+j*M] = MAGMA_D_MAKE( 1., 0. );
matnorm = lapackf77_dlange("f", &M, &N, A, &lda, work);
blasf77_dgemm("N", "N", &M, &N, &min_mn,
&alpha, L, &M, U, &min_mn, &beta, LU, &lda);
for( j = 0; j < N; j++ ) {
for( i = 0; i < M; i++ ) {
LU[i+j*lda] = MAGMA_D_SUB( LU[i+j*lda], A[i+j*lda] );
}
}
residual = lapackf77_dlange("f", &M, &N, LU, &lda, work);
magma_free_cpu( L );
magma_free_cpu( U );
return residual / (matnorm * N);
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing dgetrf_batched
*/
int main( int argc, char** argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflops, magma_perf, magma_time, cublas_perf=0., cublas_time=0., cpu_perf=0, cpu_time=0;
double error;
magma_int_t cublas_enable = 0;
double *h_A, *h_R;
double *dA_magma;
double **dA_array = NULL;
magma_int_t **dipiv_array = NULL;
magma_int_t *ipiv, *cpu_info;
magma_int_t *dipiv_magma, *dinfo_magma;
magma_int_t M, N, n2, lda, ldda, min_mn, info;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t batchCount;
int status = 0;
magma_opts opts( MagmaOptsBatched );
opts.parse_opts( argc, argv );
//opts.lapack |= opts.check;
batchCount = opts.batchcount;
magma_int_t columns;
double tol = opts.tolerance * lapackf77_dlamch("E");
printf("%% BatchCount M N CPU Gflop/s (ms) MAGMA Gflop/s (ms) %s Gflop/s (ms) ||PA-LU||/(||A||*N)\n", g_platform_str);
printf("%%==========================================================================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
M = opts.msize[itest];
N = opts.nsize[itest];
min_mn = min(M, N);
lda = M;
n2 = lda*N * batchCount;
ldda = magma_roundup( M, opts.align ); // multiple of 32 by default
gflops = FLOPS_DGETRF( M, N ) / 1e9 * batchCount;
TESTING_CHECK( magma_imalloc_cpu( &cpu_info, batchCount ));
TESTING_CHECK( magma_imalloc_cpu( &ipiv, min_mn * batchCount ));
TESTING_CHECK( magma_dmalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_dmalloc_cpu( &h_R, n2 ));
TESTING_CHECK( magma_dmalloc( &dA_magma, ldda*N * batchCount ));
TESTING_CHECK( magma_imalloc( &dipiv_magma, min_mn * batchCount ));
TESTING_CHECK( magma_imalloc( &dinfo_magma, batchCount ));
TESTING_CHECK( magma_malloc( (void**) &dA_array, batchCount * sizeof(double*) ));
TESTING_CHECK( magma_malloc( (void**) &dipiv_array, batchCount * sizeof(magma_int_t*) ));
/* Initialize the matrix */
lapackf77_dlarnv( &ione, ISEED, &n2, h_A );
// make A diagonally dominant, to not need pivoting
for( int s=0; s < batchCount; ++s ) {
for( int i=0; i < min_mn; ++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;
lapackf77_dlacpy( MagmaFullStr, &M, &columns, h_A, &lda, h_R, &lda );
magma_dsetmatrix( M, columns, h_R, lda, dA_magma, ldda, opts.queue );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
magma_dset_pointer( dA_array, dA_magma, ldda, 0, 0, ldda*N, batchCount, opts.queue );
magma_time = magma_sync_wtime( opts.queue );
info = magma_dgetrf_nopiv_batched( M, N, dA_array, ldda, dinfo_magma, batchCount, opts.queue);
magma_time = magma_sync_wtime( opts.queue ) - magma_time;
magma_perf = gflops / magma_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_dgetrf_batched matrix %lld returned internal error %lld\n", (long long) i, (long long) cpu_info[i] );
}
}
if (info != 0) {
printf("magma_dgetrf_batched returned argument error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
for (int i=0; i < batchCount; i++) {
lapackf77_dgetrf(&M, &N, h_A + i*lda*N, &lda, ipiv + i * min_mn, &info);
assert( info == 0 );
}
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_dgetrf returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
}
/* =====================================================================
Check the factorization
=================================================================== */
if ( opts.lapack ) {
printf("%10lld %5lld %5lld %7.2f (%7.2f) %7.2f (%7.2f) %7.2f (%7.2f)",
(long long) batchCount, (long long) M, (long long) N,
cpu_perf, cpu_time*1000.,
magma_perf, magma_time*1000.,
cublas_perf*cublas_enable, cublas_time*1000.*cublas_enable );
}
else {
printf("%10lld %5lld %5lld --- ( --- ) %7.2f (%7.2f) %7.2f (%7.2f)",
(long long) batchCount, (long long) M, (long long) N,
magma_perf, magma_time*1000.,
cublas_perf*cublas_enable, cublas_time*1000.*cublas_enable );
}
if ( opts.check ) {
// initialize ipiv to 1, 2, 3, ...
for (int i=0; i < batchCount; i++)
{
for (int k=0; k < min_mn; k++) {
ipiv[i*min_mn+k] = k+1;
}
}
magma_dgetmatrix( M, N*batchCount, dA_magma, ldda, h_A, lda, opts.queue );
error = 0;
for (int i=0; i < batchCount; i++)
{
double err;
err = get_LU_error( M, N, h_R + i * lda*N, lda, h_A + i * lda*N, ipiv + i * min_mn);
if (std::isnan(err) || std::isinf(err)) {
error = err;
break;
}
error = max( err, error );
}
bool okay = (error < tol);
status += ! okay;
printf(" %8.2e %s\n", error, (okay ? "ok" : "failed") );
}
else {
printf(" --- \n");
}
magma_free_cpu( cpu_info );
magma_free_cpu( ipiv );
magma_free_cpu( h_A );
magma_free_cpu( h_R );
magma_free( dA_magma );
magma_free( dinfo_magma );
magma_free( dipiv_magma );
magma_free( dipiv_array );
magma_free( dA_array );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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