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/*
-- MAGMA (version 2.5.4) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date October 2020
@generated from testing/testing_zgetri_gpu.cpp, normal z -> c, Thu Oct 8 23:05:41 2020
@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 cgetri
*/
int main( int argc, char** argv )
{
TESTING_CHECK( magma_init() );
magma_print_environment();
// constants
const magmaFloatComplex c_zero = MAGMA_C_ZERO;
const magmaFloatComplex c_one = MAGMA_C_ONE;
const magmaFloatComplex c_neg_one = MAGMA_C_NEG_ONE;
real_Double_t gflops, gpu_perf, gpu_time, cpu_perf, cpu_time;
magmaFloatComplex *h_A, *h_Ainv, *h_R, *work, unused[1];
magmaFloatComplex_ptr d_A, dwork;
magma_int_t N, n2, lda, ldda, info, lwork, ldwork;
magmaFloatComplex tmp;
float error, rwork[1];
magma_int_t *ipiv, iunused[1];
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
float tol = opts.tolerance * lapackf77_slamch("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_cgetri_nb( N );
gflops = FLOPS_CGETRI( N ) / 1e9;
// query for workspace size
lwork = -1;
lapackf77_cgetri( &N, unused, &lda, iunused, &tmp, &lwork, &info );
if (info != 0) {
printf("lapackf77_cgetri returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
lwork = magma_int_t( MAGMA_C_REAL( tmp ));
TESTING_CHECK( magma_imalloc_cpu( &ipiv, N ));
TESTING_CHECK( magma_cmalloc_cpu( &work, lwork ));
TESTING_CHECK( magma_cmalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_cmalloc_cpu( &h_Ainv, n2 ));
TESTING_CHECK( magma_cmalloc_cpu( &h_R, n2 ));
TESTING_CHECK( magma_cmalloc( &d_A, ldda*N ));
TESTING_CHECK( magma_cmalloc( &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_csetmatrix( N, N, h_A, lda, d_A, ldda, opts.queue );
magma_cgetrf_gpu( N, N, d_A, ldda, ipiv, &info );
magma_cgetmatrix( N, N, d_A, ldda, h_Ainv, lda, opts.queue );
if (info != 0) {
printf("magma_cgetrf_gpu returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
// check for exact singularity
//h_Ainv[ 10 + 10*lda ] = MAGMA_C_MAKE( 0.0, 0.0 );
//magma_csetmatrix( N, N, h_Ainv, lda, d_A, ldda, opts.queue );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
magma_cgetri_gpu( N, d_A, ldda, ipiv, dwork, ldwork, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_cgetri_gpu returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
lapackf77_cgetri( &N, h_Ainv, &lda, ipiv, work, &lwork, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_cgetri 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_cgetmatrix( N, N, d_A, ldda, h_Ainv, lda, opts.queue );
// compute 1-norm condition number estimate, following LAPACK's zget03
float normA, normAinv, rcond;
normA = lapackf77_clange( "1", &N, &N, h_A, &lda, rwork );
normAinv = lapackf77_clange( "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_claset( "full", &N, &N, &c_zero, &c_one, h_R, &lda );
blasf77_cgemm( "no", "no", &N, &N, &N,
&c_neg_one, h_A, &lda,
h_Ainv, &lda,
&c_one, h_R, &lda );
error = lapackf77_clange( "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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