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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
@author Azzam Haidar
@author Tingxing Dong
*/
// 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"
#if defined(_OPENMP)
#include <omp.h>
#include "../control/magma_threadsetting.h" // internal header
#endif
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zhemv_batched
*/
int main( int argc, char** argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflops, magma_perf, magma_time, cpu_perf, cpu_time;
double error, magma_error, normalize, work[1];
magma_int_t N, lda, ldda;
magma_int_t sizeA, sizeX, sizeY;
magma_int_t incx = 1;
magma_int_t incy = 1;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
int status = 0;
magma_int_t batchCount;
magmaDoubleComplex *h_A, *h_X, *h_Y, *h_Ymagma;
magmaDoubleComplex *d_A, *d_X, *d_Y;
magmaDoubleComplex **d_A_array = NULL;
magmaDoubleComplex **d_X_array = NULL;
magmaDoubleComplex **d_Y_array = NULL;
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magmaDoubleComplex alpha = MAGMA_Z_MAKE( 0.29, -0.86 );
magmaDoubleComplex beta = MAGMA_Z_MAKE( -0.48, 0.38 );
magma_opts opts( MagmaOptsBatched );
opts.parse_opts( argc, argv );
opts.lapack |= opts.check;
batchCount = opts.batchcount;
double *Anorm, *Xnorm, *Ynorm;
TESTING_CHECK( magma_dmalloc_cpu( &Anorm, batchCount ));
TESTING_CHECK( magma_dmalloc_cpu( &Xnorm, batchCount ));
TESTING_CHECK( magma_dmalloc_cpu( &Ynorm, batchCount ));
TESTING_CHECK( magma_malloc( (void**) &d_A_array, batchCount * sizeof(magmaDoubleComplex*) ));
TESTING_CHECK( magma_malloc( (void**) &d_X_array, batchCount * sizeof(magmaDoubleComplex*) ));
TESTING_CHECK( magma_malloc( (void**) &d_Y_array, batchCount * sizeof(magmaDoubleComplex*) ));
// See testing_zgemm about tolerance.
double eps = lapackf77_dlamch("E");
double tol = 3*eps;
printf("%% uplo = %s\n", lapack_uplo_const(opts.uplo) );
printf("%% BatchCount N MAGMA Gflop/s (ms) CPU Gflop/s (ms) MAGMA error\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;
ldda = magma_roundup( N, opts.align ); // multiple of 32 by default
gflops = FLOPS_ZHEMV( N ) / 1e9 * batchCount;
sizeA = lda*N*batchCount;
sizeX = incx*N*batchCount;
sizeY = incy*N*batchCount;
TESTING_CHECK( magma_zmalloc_cpu( &h_A, sizeA ));
TESTING_CHECK( magma_zmalloc_cpu( &h_X, sizeX ));
TESTING_CHECK( magma_zmalloc_cpu( &h_Y, sizeY ));
TESTING_CHECK( magma_zmalloc_cpu( &h_Ymagma, sizeY ));
TESTING_CHECK( magma_zmalloc( &d_A, ldda*N*batchCount ));
TESTING_CHECK( magma_zmalloc( &d_X, sizeX ));
TESTING_CHECK( magma_zmalloc( &d_Y, sizeY ));
/* Initialize the matrices */
lapackf77_zlarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_zlarnv( &ione, ISEED, &sizeX, h_X );
lapackf77_zlarnv( &ione, ISEED, &sizeY, h_Y );
/* set the opposite triangular part to NAN to check */
magma_int_t N1 = N-1;
for(magma_int_t i = 0; i < batchCount; i++){
magmaDoubleComplex* Ai = h_A + i * N * lda;
if ( opts.uplo == MagmaUpper ) {
lapackf77_zlaset( "Lower", &N1, &N1, &MAGMA_Z_NAN, &MAGMA_Z_NAN, &Ai[1], &lda );
}
else {
lapackf77_zlaset( "Upper", &N1, &N1, &MAGMA_Z_NAN, &MAGMA_Z_NAN, &Ai[lda], &lda );
}
}
// Compute norms for error computation
for (int s = 0; s < batchCount; ++s) {
Anorm[s] = safe_lapackf77_zlanhe( "F", lapack_uplo_const(opts.uplo), &N, &h_A[s*lda*N], &lda, work );
Xnorm[s] = lapackf77_zlange( "F", &ione, &N, &h_X[s*N*incx], &incx, work );
Ynorm[s] = lapackf77_zlange( "F", &ione, &N, &h_Y[s*N*incy], &incy, work );
}
/* =====================================================================
Performs operation using MAGMABLAS
=================================================================== */
magma_zsetmatrix( N, N*batchCount, h_A, lda, d_A, ldda, opts.queue );
magma_zsetvector( N*batchCount, h_X, incx, d_X, incx, opts.queue );
magma_zsetvector( N*batchCount, h_Y, incy, d_Y, incy, opts.queue );
magma_zset_pointer( d_A_array, d_A, ldda, 0, 0, ldda*N, batchCount, opts.queue );
magma_zset_pointer( d_X_array, d_X, 1, 0, 0, incx*N, batchCount, opts.queue );
magma_zset_pointer( d_Y_array, d_Y, 1, 0, 0, incy*N, batchCount, opts.queue );
magma_time = magma_sync_wtime( opts.queue );
magmablas_zhemv_batched(opts.uplo, N,
alpha, d_A_array, ldda,
d_X_array, incx,
beta, d_Y_array, incy, batchCount, opts.queue);
magma_time = magma_sync_wtime( opts.queue ) - magma_time;
magma_perf = gflops / magma_time;
magma_zgetvector( N*batchCount, d_Y, incy, h_Ymagma, incy, opts.queue );
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
#if !defined (BATCHED_DISABLE_PARCPU) && defined(_OPENMP)
magma_int_t nthreads = magma_get_lapack_numthreads();
magma_set_lapack_numthreads(1);
magma_set_omp_numthreads(nthreads);
#pragma omp parallel for schedule(dynamic)
#endif
for (int i=0; i < batchCount; i++)
{
blasf77_zhemv( lapack_uplo_const(opts.uplo), &N,
&alpha, h_A + i*lda*N, &lda,
h_X + i*N*incx, &incx,
&beta, h_Y + i*N*incy, &incy );
}
#if !defined (BATCHED_DISABLE_PARCPU) && defined(_OPENMP)
magma_set_lapack_numthreads(nthreads);
#endif
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
}
/* =====================================================================
Check the result
=================================================================== */
if ( opts.lapack ) {
// compute error compared lapack
// error = |dY - Y| / (gamma_{k+2}|A||X| + gamma_2|Yin|); k = m
magma_error = 0;
for (int s=0; s < batchCount; s++){
normalize = sqrt(double(N+2))*Anorm[s]*Xnorm[s] + 2*Ynorm[s];
if (normalize == 0)
normalize = 1;
blasf77_zaxpy( &N, &c_neg_one, &h_Y[s*N*incy], &incy, &h_Ymagma[s*N*incy], &incy );
error = lapackf77_zlange( "F", &ione, &N, &h_Ymagma[s*N*incy], &incy, work )
/ normalize;
magma_error = magma_max_nan( error, magma_error );
}
bool okay = (magma_error < tol);
status += ! okay;
printf(" %10lld %5lld %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(long long) batchCount, (long long) N,
magma_perf, 1000.*magma_time,
cpu_perf, 1000.*cpu_time,
magma_error, (okay ? "ok" : "failed"));
}
else {
printf(" %10lld %5lld %7.2f (%7.2f) --- ( --- ) ---\n",
(long long) batchCount,(long long) N,
magma_perf, 1000.*magma_time);
}
magma_free_cpu( h_A );
magma_free_cpu( h_X );
magma_free_cpu( h_Y );
magma_free_cpu( h_Ymagma );
magma_free( d_A );
magma_free( d_X );
magma_free( d_Y );
fflush( stdout);
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
magma_free_cpu( Anorm );
magma_free_cpu( Xnorm );
magma_free_cpu( Ynorm );
magma_free( d_A_array );
magma_free( d_X_array );
magma_free( d_Y_array );
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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