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/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@precisions normal z -> c d s
@author Mark Gates
*/
// 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"
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zgetri
*/
int main( int argc, char** argv )
{
TESTING_CHECK( magma_init() );
magma_print_environment();
// constants
const magmaDoubleComplex c_zero = MAGMA_Z_ZERO;
const magmaDoubleComplex c_one = MAGMA_Z_ONE;
const magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
real_Double_t gflops, gpu_perf, gpu_time, cpu_perf, cpu_time;
magmaDoubleComplex *h_A, *h_Ainv, *h_R, *work, unused[1];
magmaDoubleComplex_ptr d_A, dwork;
magma_int_t N, n2, lda, ldda, info, lwork, ldwork;
magmaDoubleComplex tmp;
double error, rwork[1];
magma_int_t *ipiv, iunused[1];
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
printf("%% N CPU Gflop/s (sec) GPU Gflop/s (sec) ||I - A*A^{-1}||_1 / (N*cond(A))\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;
n2 = lda*N;
ldda = magma_roundup( N, opts.align ); // multiple of 32 by default
ldwork = N * magma_get_zgetri_nb( N );
gflops = FLOPS_ZGETRI( N ) / 1e9;
// query for workspace size
lwork = -1;
lapackf77_zgetri( &N, unused, &lda, iunused, &tmp, &lwork, &info );
if (info != 0) {
printf("lapackf77_zgetri returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
lwork = magma_int_t( MAGMA_Z_REAL( tmp ));
TESTING_CHECK( magma_imalloc_cpu( &ipiv, N ));
TESTING_CHECK( magma_zmalloc_cpu( &work, lwork ));
TESTING_CHECK( magma_zmalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_zmalloc_cpu( &h_Ainv, n2 ));
TESTING_CHECK( magma_zmalloc_cpu( &h_R, n2 ));
TESTING_CHECK( magma_zmalloc( &d_A, ldda*N ));
TESTING_CHECK( magma_zmalloc( &dwork, ldwork ));
/* Initialize the matrix */
magma_generate_matrix( opts, N, N, h_A, lda );
/* Factor the matrix. Both MAGMA and LAPACK will use this factor. */
magma_zsetmatrix( N, N, h_A, lda, d_A, ldda, opts.queue );
magma_zgetrf_gpu( N, N, d_A, ldda, ipiv, &info );
magma_zgetmatrix( N, N, d_A, ldda, h_Ainv, lda, opts.queue );
if (info != 0) {
printf("magma_zgetrf_gpu returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
// check for exact singularity
//h_Ainv[ 10 + 10*lda ] = MAGMA_Z_MAKE( 0.0, 0.0 );
//magma_zsetmatrix( N, N, h_Ainv, lda, d_A, ldda, opts.queue );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
if(opts.version == 1) {
gpu_time = magma_wtime();
magma_zgetri_gpu( N, d_A, ldda, ipiv, dwork, ldwork, &info );
gpu_time = magma_wtime() - gpu_time;
}
else{
// test expert api
magma_queue_t queues[2];
magma_device_t cdev;
magma_getdevice( &cdev );
magma_queue_create( cdev, &queues[0] );
magma_queue_create( cdev, &queues[1] );
// query workspace
void *host_work=NULL, *device_work=NULL;
magma_int_t lwork_host[1] = {-1};
magma_int_t lwork_device[1] = {-1};
magma_zgetri_expert_gpu_work(
N, NULL, ldda, NULL, &info, MagmaNative,
NULL, lwork_host, NULL, lwork_device, queues );
if(lwork_host[0] > 0) {
TESTING_CHECK( magma_malloc_pinned(&host_work, lwork_host[0]) );
}
if(lwork_device[0] > 0) {
TESTING_CHECK( magma_malloc(&device_work, lwork_device[0]) );
}
gpu_time = magma_sync_wtime( queues[0] );
magma_zgetri_expert_gpu_work(
N, d_A, ldda, ipiv, &info, MagmaNative,
host_work, lwork_host, device_work, lwork_device, queues );
gpu_time = magma_sync_wtime( queues[0] ) - gpu_time;
magma_queue_destroy( queues[0] );
magma_queue_destroy( queues[1] );
if(host_work != NULL) magma_free_pinned( host_work );
if(device_work != NULL) magma_free( device_work );
}
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_zgetri_gpu returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
lapackf77_zgetri( &N, h_Ainv, &lda, ipiv, work, &lwork, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_zgetri returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
printf( "%5lld %7.2f (%7.2f) %7.2f (%7.2f)",
(long long) N, cpu_perf, cpu_time, gpu_perf, gpu_time );
}
else {
printf( "%5lld --- ( --- ) %7.2f (%7.2f)",
(long long) N, gpu_perf, gpu_time );
}
/* =====================================================================
Check the result
=================================================================== */
if ( opts.check ) {
magma_zgetmatrix( N, N, d_A, ldda, h_Ainv, lda, opts.queue );
// compute 1-norm condition number estimate, following LAPACK's zget03
double normA, normAinv, rcond;
normA = lapackf77_zlange( "1", &N, &N, h_A, &lda, rwork );
normAinv = lapackf77_zlange( "1", &N, &N, h_Ainv, &lda, rwork );
if ( normA <= 0 || normAinv <= 0 ) {
rcond = 0;
error = 1 / (tol/opts.tolerance); // == 1/eps
}
else {
rcond = (1 / normA) / normAinv;
// R = I
// R -= A*A^{-1}
// err = ||I - A*A^{-1}|| / ( N ||A||*||A^{-1}|| ) = ||R|| * rcond / N, using 1-norm
lapackf77_zlaset( "full", &N, &N, &c_zero, &c_one, h_R, &lda );
blasf77_zgemm( "no", "no", &N, &N, &N,
&c_neg_one, h_A, &lda,
h_Ainv, &lda,
&c_one, h_R, &lda );
error = lapackf77_zlange( "1", &N, &N, h_R, &lda, rwork );
error = error * rcond / N;
}
bool okay = (error < tol);
status += ! okay;
printf( " %8.2e %s\n",
error, (okay ? "ok" : "failed"));
}
else {
printf( "\n" );
}
magma_free_cpu( ipiv );
magma_free_cpu( work );
magma_free_cpu( h_A );
magma_free_cpu( h_Ainv );
magma_free_cpu( h_R );
magma_free( d_A );
magma_free( dwork );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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