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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 ztrtri
*/
int main( int argc, char** argv)
{
#define h_A(i_, j_) (h_A + (i_) + (j_)*lda)
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflops, gpu_perf, gpu_time, cpu_perf, cpu_time;
magmaDoubleComplex *h_A, *h_R;
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magma_int_t N, n2, lda, info;
magma_int_t *ipiv;
magma_int_t ione = 1;
double Anorm, error, work[1];
int status = 0;
magma_opts opts;
opts.matrix = "rand_dominant"; // default; makes triangles nicely conditioned
opts.parse_opts( argc, argv );
opts.lapack |= opts.check; // check (-c) implies lapack (-l)
double tol = opts.tolerance * lapackf77_dlamch("E");
printf("%% uplo = %s\n", lapack_uplo_const(opts.uplo) );
printf("%% N CPU Gflop/s (sec) GPU Gflop/s (sec) ||R||_F / ||A||_F\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;
gflops = FLOPS_ZTRTRI( N ) / 1e9;
TESTING_CHECK( magma_zmalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_imalloc_cpu( &ipiv, N ));
TESTING_CHECK( magma_zmalloc_pinned( &h_R, n2 ));
/* Initialize the matrices */
/* Factor A into LU to get well-conditioned triangular matrix.
* Copy L to U, since L seems okay when used with non-unit diagonal
* (i.e., from U), while U fails when used with unit diagonal. */
magma_generate_matrix( opts, N, N, h_A, lda );
lapackf77_zgetrf( &N, &N, h_A, &lda, ipiv, &info );
for (int j = 0; j < N; ++j) {
for (int i = 0; i < j; ++i) {
*h_A(i,j) = *h_A(j,i);
}
}
lapackf77_zlacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
// check for exact singularity
//h_R[ 10 + 10*lda ] = MAGMA_Z_ZERO;
gpu_time = magma_wtime();
magma_ztrtri( opts.uplo, opts.diag, N, h_R, lda, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_ztrtri returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
lapackf77_ztrtri( lapack_uplo_const(opts.uplo), lapack_diag_const(opts.diag), &N, h_A, &lda, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_ztrtri returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
/* =====================================================================
Check the result compared to LAPACK
=================================================================== */
blasf77_zaxpy(&n2, &c_neg_one, h_A, &ione, h_R, &ione);
Anorm = lapackf77_zlantr("f", lapack_uplo_const(opts.uplo), MagmaNonUnitStr, &N, &N, h_A, &lda, work);
error = lapackf77_zlantr("f", lapack_uplo_const(opts.uplo), MagmaNonUnitStr, &N, &N, h_R, &lda, work) / Anorm;
bool okay = (error < tol);
status += ! okay;
printf("%5lld %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(long long) N, cpu_perf, cpu_time, gpu_perf, gpu_time,
error, (okay ? "ok" : "failed") );
}
else {
printf("%5lld --- ( --- ) %7.2f (%7.2f) ---\n",
(long long) N, gpu_perf, gpu_time );
}
magma_free_cpu( h_A );
magma_free_cpu( ipiv );
magma_free_pinned( h_R );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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