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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
@precisions normal z -> c d s
*/
// 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"
#define COMPLEX
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zhegvdx
*/
int main( int argc, char** argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
/* Constants */
const magmaDoubleComplex c_zero = MAGMA_Z_ZERO;
const magmaDoubleComplex c_one = MAGMA_Z_ONE;
const magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
const magma_int_t ione = 1;
/* Local variables */
real_Double_t gpu_time;
magmaDoubleComplex *h_A, *h_R, *h_B, *h_S, *h_Z, *h_work, aux_work[1];
double *w1, *w2, abstol;
double result[2] = {0};
magma_int_t *iwork, *isuppz, *ifail, aux_iwork[1];
magma_int_t N, Nfound, n2, info, lwork, liwork, lda;
#ifdef COMPLEX
double *rwork, aux_rwork[1];
magma_int_t lrwork;
#endif
int status = 0;
magma_opts opts;
opts.matrix = "rand_dominant"; // default
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
double tolulp = opts.tolerance * lapackf77_dlamch("P");
#ifdef REAL
if (opts.version == 2 || opts.version == 3) {
printf("%% magma_zhegvr and magma_zhegvx are not available for real precisions (single, double).\n");
return status;
}
#endif
// 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 M GPU Time (sec) |AZ-BZD| |D - D_magma|\n");
}
else if (opts.itype == 2) {
printf("%% N M GPU Time (sec) |ABZ-ZD| |D - D_magma|\n");
}
else if (opts.itype == 3) {
printf("%% N M GPU Time (sec) |BAZ-ZD| |D - D_magma|\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;
magma_range_t range;
magma_int_t il, iu;
double vl, vu;
opts.get_range( N, &range, &vl, &vu, &il, &iu );
abstol = 0; // auto in zhegvr
MAGMA_UNUSED( abstol ); // unused in [sd] precisions
// query for workspace sizes
if ( opts.version == 1 ) {
magma_zhegvdx( opts.itype, opts.jobz, range, opts.uplo,
N, NULL, lda, NULL, lda, // A, B
vl, vu, il, iu, &Nfound, NULL, // w
aux_work, -1,
#ifdef COMPLEX
aux_rwork, -1,
#endif
aux_iwork, -1,
&info );
}
else if ( opts.version == 2 ) {
#ifdef COMPLEX
magma_zhegvr( opts.itype, opts.jobz, range, opts.uplo,
N, NULL, lda, NULL, lda, // A, B
vl, vu, il, iu, abstol,
&Nfound, NULL, // w
NULL, lda, NULL, // Z, isuppz
aux_work, -1,
#ifdef COMPLEX
aux_rwork, -1,
#endif
aux_iwork, -1,
&info );
#endif
}
else if ( opts.version == 3 ) {
#ifdef COMPLEX
magma_zhegvx( opts.itype, opts.jobz, range, opts.uplo,
N, NULL, lda, NULL, lda, // A, B
vl, vu, il, iu, abstol,
&Nfound, NULL, // w
NULL, lda, // Z
aux_work, -1,
#ifdef COMPLEX
aux_rwork,
#endif
aux_iwork,
NULL, // ifail
&info );
// zheevx doesn't query rwork, iwork; set them for consistency
aux_rwork[0] = double(7*N);
aux_iwork[0] = double(5*N);
#endif
}
lwork = (magma_int_t) MAGMA_Z_REAL( aux_work[0] );
#ifdef COMPLEX
lrwork = (magma_int_t) aux_rwork[0];
#endif
liwork = aux_iwork[0];
TESTING_CHECK( magma_zmalloc_cpu( &h_A, n2 ));
TESTING_CHECK( magma_zmalloc_cpu( &h_B, n2 ));
TESTING_CHECK( magma_dmalloc_cpu( &w1, N ));
TESTING_CHECK( magma_dmalloc_cpu( &w2, N ));
TESTING_CHECK( magma_imalloc_cpu( &iwork, liwork ));
TESTING_CHECK( magma_zmalloc_pinned( &h_R, n2 ));
TESTING_CHECK( magma_zmalloc_pinned( &h_S, n2 ));
TESTING_CHECK( magma_zmalloc_pinned( &h_work, max( lwork, N*N ) )); // check needs N*N
#ifdef COMPLEX
TESTING_CHECK( magma_dmalloc_pinned( &rwork, lrwork ));
#endif
if (opts.version == 2) {
TESTING_CHECK( magma_zmalloc_cpu( &h_Z, N*lda ));
TESTING_CHECK( magma_imalloc_cpu( &isuppz, 2*max(1,N) ));
}
if (opts.version == 3) {
TESTING_CHECK( magma_zmalloc_cpu( &h_Z, N*lda ));
TESTING_CHECK( magma_imalloc_cpu( &ifail, N ));
}
/* Initialize the matrix */
magma_generate_matrix( opts, N, N, h_A, lda );
magma_generate_matrix( opts, N, N, h_B, lda );
lapackf77_zlacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
lapackf77_zlacpy( MagmaFullStr, &N, &N, h_B, &lda, h_S, &lda );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
if (opts.version == 1) {
if (opts.ngpu == 1) {
magma_zhegvdx( 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_zhegvdx_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 );
}
}
else if (opts.version == 2) {
#ifdef COMPLEX
magma_zhegvr( opts.itype, opts.jobz, range, opts.uplo,
N, h_R, lda, h_S, lda, vl, vu, il, iu, abstol, &Nfound, w1,
h_Z, lda, isuppz,
h_work, lwork,
#ifdef COMPLEX
rwork, lrwork,
#endif
iwork, liwork,
&info );
lapackf77_zlacpy( "Full", &N, &N, h_Z, &lda, h_R, &lda );
#endif
}
else if (opts.version == 3) {
#ifdef COMPLEX
magma_zhegvx( opts.itype, opts.jobz, range, opts.uplo,
N, h_R, lda, h_S, lda, vl, vu, il, iu, abstol, &Nfound, w1,
h_Z, lda,
h_work, lwork,
#ifdef COMPLEX
rwork, /*lrwork,*/
#endif
iwork, /*liwork,*/
ifail,
&info );
lapackf77_zlacpy( "Full", &N, &N, h_Z, &lda, h_R, &lda );
#endif
}
gpu_time = magma_wtime() - gpu_time;
if (info != 0) {
printf("magma_zhegvdx 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
double *rwork = h_work + N*N;
#endif
if ( opts.jobz != MagmaNoVec ) {
result[0] = 1.;
result[0] /= safe_lapackf77_zlanhe("1", lapack_uplo_const(opts.uplo), &N, h_A, &lda, rwork);
result[0] /= lapackf77_zlange("1", &N, &Nfound, h_R, &lda, rwork);
if (opts.itype == 1) {
blasf77_zhemm("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_zdscal(&N, &w1[i], &h_R[i*N], &ione);
blasf77_zhemm("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_zlange("1", &N, &Nfound, h_work, &N, rwork)/N;
}
else if (opts.itype == 2) {
blasf77_zhemm("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_zdscal(&N, &w1[i], &h_R[i*N], &ione);
blasf77_zhemm("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_zlange("1", &N, &Nfound, h_R, &lda, rwork)/N;
}
else if (opts.itype == 3) {
blasf77_zhemm("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_zdscal(&N, &w1[i], &h_R[i*N], &ione);
blasf77_zhemm("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_zlange("1", &N, &Nfound, h_R, &lda, rwork)/N;
}
}
lapackf77_zlacpy( MagmaFullStr, &N, &N, h_A, &lda, h_R, &lda );
lapackf77_zlacpy( MagmaFullStr, &N, &N, h_B, &lda, h_S, &lda );
lapackf77_zhegvd( &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_zhegvd returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
double 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
if ( opts.version == 2 ) {
magma_free_cpu( h_Z );
magma_free_cpu( isuppz );
}
if ( opts.version == 3 ) {
magma_free_cpu( h_Z );
magma_free_cpu( ifail );
}
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
|
