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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" // for MAGMA_Z_DIV
#include "testings.h"
/* ////////////////////////////////////////////////////////////////////////////
-- Testing ztrsm
*/
int main( int argc, char** argv)
{
#ifdef MAGMA_HAVE_OPENCL
#define dA(i_, j_) dA, ((i_) + (j_)*ldda)
#define dB(i_, j_) dB, ((i_) + (j_)*lddb)
#else
#define dA(i_, j_) (dA + (i_) + (j_)*ldda)
#define dB(i_, j_) (dB + (i_) + (j_)*lddb)
#endif
#define hA(i_, j_) (hA + (i_) + (j_)*lda)
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflops, magma_perf=0, magma_time=0, dev_perf, dev_time, cpu_perf=0, cpu_time=0;
double magma_error=0, dev_error, lapack_error, *work;
magma_int_t M, N, info;
magma_int_t Ak;
magma_int_t sizeB;
magma_int_t lda, ldb, ldda, lddb;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magmaDoubleComplex *hA, *hB, *hBdev, *hBmagma, *hBlapack, *hX;
magmaDoubleComplex_ptr dA, dB;
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magmaDoubleComplex c_one = MAGMA_Z_ONE;
magmaDoubleComplex alpha = MAGMA_Z_ONE; //MAGMA_Z_MAKE( 0.29, -0.86 );
int status = 0;
magma_opts opts;
opts.matrix = "rand_dominant"; // default
opts.tolerance = 100; // default
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
// pass ngpu = -1 to test multi-GPU code using 1 gpu
magma_int_t abs_ngpu = abs( opts.ngpu );
printf("%% side = %s, uplo = %s, transA = %s, diag = %s, ngpu = %lld\n",
lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag), (long long) abs_ngpu);
printf("%% M N MAGMA Gflop/s (ms) %s Gflop/s (ms) CPU Gflop/s (ms) MAGMA %s LAPACK 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 ) {
M = opts.msize[itest];
N = opts.nsize[itest];
gflops = FLOPS_ZTRSM(opts.side, M, N) / 1e9;
if ( opts.side == MagmaLeft ) {
lda = M;
Ak = M;
} else {
lda = N;
Ak = N;
}
ldb = M;
ldda = magma_roundup( lda, opts.align ); // multiple of 32 by default
lddb = magma_roundup( ldb, opts.align ); // multiple of 32 by default
//sizeA = lda*Ak;
sizeB = ldb*N;
TESTING_CHECK( magma_zmalloc_cpu( &hA, lda*Ak ));
TESTING_CHECK( magma_zmalloc_cpu( &hB, ldb*N ));
TESTING_CHECK( magma_zmalloc_cpu( &hX, ldb*N ));
TESTING_CHECK( magma_zmalloc_cpu( &hBlapack, ldb*N ));
TESTING_CHECK( magma_zmalloc_cpu( &hBdev, ldb*N ));
TESTING_CHECK( magma_zmalloc_cpu( &hBmagma, ldb*N ));
TESTING_CHECK( magma_dmalloc_cpu( &work, max(M, N) ));
TESTING_CHECK( magma_zmalloc( &dA, ldda*Ak ));
TESTING_CHECK( magma_zmalloc( &dB, lddb*N ));
/* Initialize the matrices */
magma_generate_matrix( opts, Ak, Ak, hA, lda );
// set unused data to nan
magma_int_t Ak_1 = Ak - 1;
if (opts.uplo == MagmaLower)
lapackf77_zlaset( "upper", &Ak_1, &Ak_1, &MAGMA_Z_NAN, &MAGMA_Z_NAN, &hA[ 1*lda ], &lda );
else
lapackf77_zlaset( "lower", &Ak_1, &Ak_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 < Ak; ++i) {
hA[ i + i*lda ] += Ak;
}
lapackf77_zpotrf( lapack_uplo_const(opts.uplo), &Ak, hA, &lda, &info );
assert( info == 0 );
lapackf77_zlarnv( &ione, ISEED, &sizeB, hB );
lapackf77_zlacpy( MagmaFullStr, &M, &N, hB, &ldb, hBlapack, &ldb );
lapackf77_zlacpy( MagmaFullStr, &M, &N, hB, &ldb, hBmagma, &ldb );
magma_zsetmatrix( Ak, Ak, hA, lda, dA(0,0), ldda, opts.queue );
/* =====================================================================
Performs operation using MAGMABLAS (only with CUDA)
=================================================================== */
#if defined(MAGMA_HAVE_CUDA) || defined(MAGMA_HAVE_HIP)
magma_zsetmatrix( M, N, hB, ldb, dB(0,0), lddb, opts.queue );
if (opts.ngpu == 1) {
magma_time = magma_sync_wtime( opts.queue );
magmablas_ztrsm( opts.side, opts.uplo, opts.transA, opts.diag,
M, N,
alpha, dA(0,0), ldda,
dB(0,0), lddb, opts.queue );
magma_time = magma_sync_wtime( opts.queue ) - magma_time;
magma_zgetmatrix( M, N, dB(0,0), lddb, hBmagma, ldb, opts.queue );
}
else {
magma_time = magma_wtime();
magma_ztrsm_m( abs_ngpu, opts.side, opts.uplo, opts.transA, opts.diag,
M, N,
alpha, hA, lda,
hBmagma, ldb );
magma_time = magma_wtime() - magma_time;
}
magma_perf = gflops / magma_time;
#endif
/* =====================================================================
Performs operation using cuBLAS / clBLAS
=================================================================== */
magma_zsetmatrix( M, N, hB, ldb, dB(0,0), lddb, opts.queue );
dev_time = magma_sync_wtime( opts.queue );
magma_ztrsm( opts.side, opts.uplo, opts.transA, opts.diag,
M, N,
alpha, dA(0,0), ldda,
dB(0,0), lddb, opts.queue );
dev_time = magma_sync_wtime( opts.queue ) - dev_time;
dev_perf = gflops / dev_time;
magma_zgetmatrix( M, N, dB(0,0), lddb, hBdev, ldb, opts.queue );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
blasf77_ztrsm( lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&M, &N,
&alpha, hA, &lda,
hBlapack, &ldb );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
}
/* =====================================================================
Check the result
=================================================================== */
// ||b - 1/alpha*A*x|| / (||A||*||x||)
magmaDoubleComplex inv_alpha = MAGMA_Z_DIV( c_one, alpha );
double normR, normX, normA;
normA = lapackf77_zlantr( "I",
lapack_uplo_const(opts.uplo),
lapack_diag_const(opts.diag),
&Ak, &Ak, hA, &lda, work );
#if defined(MAGMA_HAVE_CUDA) || defined(MAGMA_HAVE_HIP)
// check magma
memcpy( hX, hBmagma, sizeB*sizeof(magmaDoubleComplex) );
blasf77_ztrmm( lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&M, &N,
&inv_alpha, hA, &lda,
hX, &ldb );
blasf77_zaxpy( &sizeB, &c_neg_one, hB, &ione, hX, &ione );
normR = lapackf77_zlange( "I", &M, &N, hX, &ldb, work );
normX = lapackf77_zlange( "I", &M, &N, hBmagma, &ldb, work );
magma_error = normR/(normX*normA);
#endif
// check cuBLAS / clBLAS
memcpy( hX, hBdev, sizeB*sizeof(magmaDoubleComplex) );
blasf77_ztrmm( lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&M, &N,
&inv_alpha, hA, &lda,
hX, &ldb );
blasf77_zaxpy( &sizeB, &c_neg_one, hB, &ione, hX, &ione );
normR = lapackf77_zlange( "I", &M, &N, hX, &ldb, work );
normX = lapackf77_zlange( "I", &M, &N, hBdev, &ldb, work );
dev_error = normR/(normX*normA);
bool okay = (magma_error < tol && dev_error < tol);
status += ! okay;
if ( opts.lapack ) {
// check lapack
// this verifies that the matrix wasn't so bad that it couldn't be solved accurately.
memcpy( hX, hBlapack, sizeB*sizeof(magmaDoubleComplex) );
blasf77_ztrmm( lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&M, &N,
&inv_alpha, hA, &lda,
hX, &ldb );
blasf77_zaxpy( &sizeB, &c_neg_one, hB, &ione, hX, &ione );
normR = lapackf77_zlange( "I", &M, &N, hX, &ldb, work );
normX = lapackf77_zlange( "I", &M, &N, hBlapack, &ldb, work );
lapack_error = normR/(normX*normA);
printf("%5lld %5lld %7.2f (%7.2f) %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %8.2e %8.2e %s\n",
(long long) M, (long long) N,
magma_perf, 1000.*magma_time,
dev_perf, 1000.*dev_time,
cpu_perf, 1000.*cpu_time,
magma_error, dev_error, lapack_error,
(okay ? "ok" : "failed"));
}
else {
printf("%5lld %5lld %7.2f (%7.2f) %7.2f (%7.2f) --- ( --- ) %8.2e %8.2e --- %s\n",
(long long) M, (long long) N,
magma_perf, 1000.*magma_time,
dev_perf, 1000.*dev_time,
magma_error, dev_error,
(okay ? "ok" : "failed"));
}
magma_free_cpu( hA );
magma_free_cpu( hB );
magma_free_cpu( hX );
magma_free_cpu( hBlapack );
magma_free_cpu( hBdev );
magma_free_cpu( hBmagma );
magma_free_cpu( work );
magma_free( dA );
magma_free( dB );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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