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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 Chongxiao Cao
*/
// 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 "magma_operators.h"
#include "testings.h"
/* ////////////////////////////////////////////////////////////////////////////
-- Testing ztrsm
*/
int main( int argc, char** argv)
{
#ifdef MAGMA_HAVE_OPENCL
#define dA(i_, j_) dA, ((i_) + (j_)*ldda)
#define dx(i_) dx, ((i_))
#else
#define dA(i_, j_) (dA + (i_) + (j_)*ldda)
#define dx(i_) (dx + (i_))
#endif
#define hA(i_, j_) (hA + (i_) + (j_)*lda)
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflops, cublas_perf, cublas_time, cpu_perf=0, cpu_time=0;
double cublas_error, normA, normx, normr, work[1];
magma_int_t N, info;
magma_int_t lda, ldda;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magmaDoubleComplex *hA, *hb, *hx, *hxcublas;
magmaDoubleComplex_ptr dA, dx;
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
int status = 0;
magma_opts opts;
opts.matrix = "rand_dominant"; // default; makes triangles nicely conditioned
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
printf("%% uplo = %s, transA = %s, diag = %s\n",
lapack_uplo_const(opts.uplo), lapack_trans_const(opts.transA), lapack_diag_const(opts.diag) );
printf("%% N %s Gflop/s (ms) CPU Gflop/s (ms) %s error\n", g_platform_str, g_platform_str);
printf("%%===========================================================\n");
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
N = opts.nsize[itest];
gflops = FLOPS_ZTRSM(opts.side, N, 1) / 1e9;
lda = N;
ldda = magma_roundup( lda, opts.align ); // multiple of 32 by default
TESTING_CHECK( magma_zmalloc_cpu( &hA, lda*N ));
TESTING_CHECK( magma_zmalloc_cpu( &hb, N ));
TESTING_CHECK( magma_zmalloc_cpu( &hx, N ));
TESTING_CHECK( magma_zmalloc_cpu( &hxcublas, N ));
TESTING_CHECK( magma_zmalloc( &dA, ldda*N ));
TESTING_CHECK( magma_zmalloc( &dx, N ));
/* Initialize the matrices */
magma_generate_matrix( opts, N, N, hA, lda );
// todo: setting to nan causes trsv to fail -- seems like a bug in cuBLAS?
// set unused data to nan
magma_int_t N_1 = N - 1;
if (opts.uplo == MagmaLower)
lapackf77_zlaset( "upper", &N_1, &N_1, &MAGMA_Z_NAN, &MAGMA_Z_NAN, &hA[ 1*lda ], &lda );
else
lapackf77_zlaset( "lower", &N_1, &N_1, &MAGMA_Z_NAN, &MAGMA_Z_NAN, &hA[ 1 ], &lda );
// Factor A into L L^H or U U^H to get a well-conditioned triangular matrix.
// If diag == Unit, the diagonal is replaced; this is still well-conditioned.
// First, brute force positive definiteness.
for (int i = 0; i < N; ++i) {
hA[ i + i*lda ] += N;
}
lapackf77_zpotrf( lapack_uplo_const(opts.uplo), &N, hA, &lda, &info );
assert( info == 0 );
lapackf77_zlarnv( &ione, ISEED, &N, hb );
blasf77_zcopy( &N, hb, &ione, hx, &ione );
/* =====================================================================
Performs operation using CUBLAS
=================================================================== */
magma_zsetmatrix( N, N, hA, lda, dA(0,0), ldda, opts.queue );
magma_zsetvector( N, hx, 1, dx(0), 1, opts.queue );
cublas_time = magma_sync_wtime( opts.queue );
magma_ztrsv( opts.uplo, opts.transA, opts.diag,
N,
dA(0,0), ldda,
dx(0), 1, opts.queue );
cublas_time = magma_sync_wtime( opts.queue ) - cublas_time;
cublas_perf = gflops / cublas_time;
magma_zgetvector( N, dx(0), 1, hxcublas, 1, opts.queue );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
blasf77_ztrsv( lapack_uplo_const(opts.uplo), lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&N,
hA, &lda,
hx, &ione );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
}
/* =====================================================================
Check the result
=================================================================== */
// ||b - Ax|| / (||A||*||x||)
// error for CUBLAS
normA = lapackf77_zlantr( "F",
lapack_uplo_const(opts.uplo),
lapack_diag_const(opts.diag),
&N, &N, hA, &lda, work );
normx = lapackf77_zlange( "F", &N, &ione, hxcublas, &ione, work );
blasf77_ztrmv( lapack_uplo_const(opts.uplo), lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&N,
hA, &lda,
hxcublas, &ione );
blasf77_zaxpy( &N, &c_neg_one, hb, &ione, hxcublas, &ione );
normr = lapackf77_zlange( "F", &N, &ione, hxcublas, &N, work );
cublas_error = normr / (normA*normx);
bool okay = (cublas_error < tol);
status += ! okay;
if ( opts.lapack ) {
printf("%5lld %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(long long) N,
cublas_perf, 1000.*cublas_time,
cpu_perf, 1000.*cpu_time,
cublas_error, (okay ? "ok" : "failed"));
}
else {
printf("%5lld %7.2f (%7.2f) --- ( --- ) %8.2e %s\n",
(long long) N,
cublas_perf, 1000.*cublas_time,
cublas_error, (okay ? "ok" : "failed"));
}
magma_free_cpu( hA );
magma_free_cpu( hb );
magma_free_cpu( hx );
magma_free_cpu( hxcublas );
magma_free( dA );
magma_free( dx );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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