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/*
-- MAGMA (version 2.9.0) --
Univ. of Tennessee, Knoxville
Univ. of California, Berkeley
Univ. of Colorado, Denver
@date January 2025
@author Raffaele Solca
@author Azzam Haidar
@author Mark Gates
@generated from testing/testing_zhegvdx_2stage.cpp, normal z -> s, Wed Jan 22 14:40:39 2025
*/
// includes, system
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <math.h>
// includes, project
#include "magma_v2.h"
#include "magma_lapack.h"
#include "testings.h"
#include "../control/magma_threadsetting.h" // internal header
#define REAL
/* ////////////////////////////////////////////////////////////////////////////
-- Testing ssygvdx
*/
int main( int argc, char** argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
/* Constants */
const float c_zero = MAGMA_S_ZERO;
const float c_one = MAGMA_S_ONE;
const float c_neg_one = MAGMA_S_NEG_ONE;
const magma_int_t ione = 1;
/* Local variables */
real_Double_t gpu_time;
float *h_A, *h_R, *h_B, *h_S, *h_work;
#ifdef COMPLEX
float *rwork;
magma_int_t lrwork;
#endif
float *w1, *w2, result[2]={0,0};
magma_int_t *iwork;
magma_int_t N, Nfound, n2, info, lda, lwork, liwork;
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
float tol = opts.tolerance * lapackf77_slamch("E");
float tolulp = opts.tolerance * lapackf77_slamch("P");
// pass ngpu = -1 to test multi-GPU code using 1 gpu
magma_int_t abs_ngpu = abs( opts.ngpu );
printf("%% itype = %lld, jobz = %s, uplo = %s, ngpu = %lld\n",
(long long) opts.itype, lapack_vec_const(opts.jobz), lapack_uplo_const(opts.uplo),
(long long) abs_ngpu);
if (opts.itype == 1) {
printf("%% N Nfound GPU Time (sec) |AZ-BZD| |D - D_magma|\n");
}
else if (opts.itype == 2) {
printf("%% N Nfound GPU Time (sec) |ABZ-ZD| |D - D_magma|\n");
}
else if (opts.itype == 3) {
printf("%% N Nfound GPU Time (sec) |BAZ-ZD| |D - D_magma|\n");
}
printf("%%======================================================\n");
magma_int_t threads = magma_get_parallel_numthreads();
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;
magma_range_t range;
magma_int_t il, iu;
float vl, vu;
opts.get_range( N, &range, &vl, &vu, &il, &iu );
magma_ssyevdx_getworksize(N, threads, (opts.jobz == MagmaVec),
&lwork,
#ifdef COMPLEX
&lrwork,
#endif
&liwork);
/* Allocate host memory for the matrix */
TESTING_CHECK( magma_smalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_smalloc_cpu( &h_B, n2 ));
TESTING_CHECK( magma_smalloc_cpu( &w1, N ));
TESTING_CHECK( magma_smalloc_cpu( &w2, N ));
TESTING_CHECK( magma_imalloc_cpu( &iwork, liwork ));
TESTING_CHECK( magma_smalloc_pinned( &h_R, n2 ));
TESTING_CHECK( magma_smalloc_pinned( &h_S, n2 ));
TESTING_CHECK( magma_smalloc_pinned( &h_work, max( lwork, N*N ) )); // check needs N*N
#ifdef COMPLEX
TESTING_CHECK( magma_smalloc_pinned( &rwork, lrwork ));
#endif
/* Initialize the matrix */
magma_generate_matrix( opts, N, N, h_A, lda );
magma_generate_matrix( opts, N, N, h_B, lda );
magma_smake_hpd( N, h_B, lda );
magma_smake_symmetric( N, h_A, lda );
lapackf77_slacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
lapackf77_slacpy( MagmaFullStr, &N, &N, h_B, &lda, h_S, &lda );
// ===================================================================
// Performs operation using MAGMA
// ===================================================================
gpu_time = magma_wtime();
if (opts.ngpu == 1) {
magma_ssygvdx_2stage( opts.itype, opts.jobz, range, opts.uplo,
N, h_R, lda, h_S, lda, vl, vu, il, iu, &Nfound, w1,
h_work, lwork,
#ifdef COMPLEX
rwork, lrwork,
#endif
iwork, liwork,
&info );
}
else {
magma_ssygvdx_2stage_m( abs_ngpu, opts.itype, opts.jobz, range, opts.uplo,
N, h_R, lda, h_S, lda, vl, vu, il, iu, &Nfound, w1,
h_work, lwork,
#ifdef COMPLEX
rwork, lrwork,
#endif
iwork, liwork,
&info );
}
gpu_time = magma_wtime() - gpu_time;
if (info != 0) {
printf("magma_ssygvdx_2stage returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
if ( opts.check ) {
/* =====================================================================
Check the results following the LAPACK's [zc]hegvdx routine.
A x = lambda B x is solved
and the following 3 tests computed:
(1) | A Z - B Z D | / ( |A| |Z| N ) (itype = 1)
| A B Z - Z D | / ( |A| |Z| N ) (itype = 2)
| B A Z - Z D | / ( |A| |Z| N ) (itype = 3)
(2) | D(with V, magma) - D(w/o V, lapack) | / | D |
=================================================================== */
#ifdef REAL
float *rwork = h_work + N*N;
#endif
if ( opts.jobz != MagmaNoVec ) {
result[0] = 1.;
result[0] /= safe_lapackf77_slansy("1", lapack_uplo_const(opts.uplo), &N, h_A, &lda, rwork);
result[0] /= lapackf77_slange("1", &N, &Nfound, h_R, &lda, rwork);
if (opts.itype == 1) {
blasf77_ssymm("L", lapack_uplo_const(opts.uplo), &N, &Nfound, &c_one, h_A, &lda, h_R, &lda, &c_zero, h_work, &N);
for (int i=0; i < Nfound; ++i)
blasf77_sscal(&N, &w1[i], &h_R[i*N], &ione);
blasf77_ssymm("L", lapack_uplo_const(opts.uplo), &N, &Nfound, &c_neg_one, h_B, &lda, h_R, &lda, &c_one, h_work, &N);
result[0] *= lapackf77_slange("1", &N, &Nfound, h_work, &N, rwork)/N;
}
else if (opts.itype == 2) {
blasf77_ssymm("L", lapack_uplo_const(opts.uplo), &N, &Nfound, &c_one, h_B, &lda, h_R, &lda, &c_zero, h_work, &N);
for (int i=0; i < Nfound; ++i)
blasf77_sscal(&N, &w1[i], &h_R[i*N], &ione);
blasf77_ssymm("L", lapack_uplo_const(opts.uplo), &N, &Nfound, &c_one, h_A, &lda, h_work, &N, &c_neg_one, h_R, &lda);
result[0] *= lapackf77_slange("1", &N, &Nfound, h_R, &lda, rwork)/N;
}
else if (opts.itype == 3) {
blasf77_ssymm("L", lapack_uplo_const(opts.uplo), &N, &Nfound, &c_one, h_A, &lda, h_R, &lda, &c_zero, h_work, &N);
for (int i=0; i < Nfound; ++i)
blasf77_sscal(&N, &w1[i], &h_R[i*N], &ione);
blasf77_ssymm("L", lapack_uplo_const(opts.uplo), &N, &Nfound, &c_one, h_B, &lda, h_work, &N, &c_neg_one, h_R, &lda);
result[0] *= lapackf77_slange("1", &N, &Nfound, h_R, &lda, rwork)/N;
}
}
lapackf77_slacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
lapackf77_slacpy( MagmaFullStr, &N, &N, h_B, &lda, h_S, &lda );
lapackf77_ssygvd( &opts.itype, "N", lapack_uplo_const(opts.uplo), &N,
h_R, &lda, h_S, &lda, w2,
h_work, &lwork,
#ifdef COMPLEX
rwork, &lrwork,
#endif
iwork, &liwork,
&info );
if (info != 0) {
printf("lapackf77_ssygvd returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
float maxw=0, diff=0;
for (int j=0; j < Nfound; j++) {
maxw = max(maxw, fabs(w1[j]));
maxw = max(maxw, fabs(w2[j]));
diff = max(diff, fabs(w1[j] - w2[j]));
}
result[1] = diff / (Nfound*maxw);
}
/* =====================================================================
Print execution time
=================================================================== */
printf("%5lld %5lld %9.4f ",
(long long) N, (long long) Nfound, gpu_time);
if ( opts.check ) {
bool okay = (result[1] < tolulp);
if ( opts.jobz != MagmaNoVec ) {
okay = okay && (result[0] < tol);
printf(" %8.2e", result[0] );
}
else {
printf(" --- ");
}
printf(" %8.2e %s\n", result[1], (okay ? "ok" : "failed"));
status += ! okay;
}
else {
printf(" ---\n");
}
magma_free_cpu( h_A );
magma_free_cpu( h_B );
magma_free_cpu( w1 );
magma_free_cpu( w2 );
magma_free_cpu( iwork );
magma_free_pinned( h_R );
magma_free_pinned( h_S );
magma_free_pinned( h_work );
#ifdef COMPLEX
magma_free_pinned( rwork );
#endif
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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