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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 "testings.h"
#if defined(_OPENMP)
#include <omp.h>
#include "../control/magma_threadsetting.h"
#endif
/* ////////////////////////////////////////////////////////////////////////////
-- Testing ztrmm_vbatched
*/
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 M, N, max_M, max_N;
magma_int_t total_sizeA_cpu, total_sizeB_cpu;
magma_int_t total_sizeA_dev, total_sizeB_dev;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magmaDoubleComplex **hA_array, **hB_array;
magmaDoubleComplex **dA_array, **dB_array;
magmaDoubleComplex *h_A, *h_B, *h_Bmagma;
magmaDoubleComplex_ptr d_A, d_B;
magmaDoubleComplex *h_A_tmp, *h_B_tmp;
magmaDoubleComplex *d_A_tmp, *d_B_tmp, *h_Bmagma_tmp;
magma_int_t *h_M, *h_N, *h_lda, *h_ldb, *h_ldda, *h_lddb;
magma_int_t *d_M, *d_N, *d_ldda, *d_lddb;
magma_int_t *h_Ak;
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magmaDoubleComplex alpha = MAGMA_Z_MAKE( 0.29, -0.86 );
int status = 0;
magma_opts opts( MagmaOptsBatched );
opts.parse_opts( argc, argv );
opts.lapack |= opts.check; // check (-c) implies lapack (-l)
magma_int_t batchCount = opts.batchcount;
TESTING_CHECK( magma_imalloc_cpu( &h_M, batchCount) );
TESTING_CHECK( magma_imalloc_cpu( &h_N, batchCount) );
TESTING_CHECK( magma_imalloc_cpu( &h_ldda, batchCount) );
TESTING_CHECK( magma_imalloc_cpu( &h_lddb, batchCount) );
TESTING_CHECK( magma_imalloc( &d_M, (batchCount+1)) );
TESTING_CHECK( magma_imalloc( &d_N, (batchCount+1)) );
TESTING_CHECK( magma_imalloc( &d_ldda, (batchCount+1)) );
TESTING_CHECK( magma_imalloc( &d_lddb, (batchCount+1)) );
double *Anorm, *Bnorm;
TESTING_CHECK( magma_dmalloc_cpu( &Anorm, batchCount ));
TESTING_CHECK( magma_dmalloc_cpu( &Bnorm, batchCount ));
TESTING_CHECK( magma_malloc_cpu((void**)&hA_array, batchCount*sizeof(magmaDoubleComplex*)) );
TESTING_CHECK( magma_malloc_cpu((void**)&hB_array, batchCount*sizeof(magmaDoubleComplex*)) );
TESTING_CHECK( magma_malloc((void**)&dA_array, batchCount*sizeof(magmaDoubleComplex*)) );
TESTING_CHECK( magma_malloc((void**)&dB_array, batchCount*sizeof(magmaDoubleComplex*)) );
// See testing_zgemm about tolerance.
double eps = lapackf77_dlamch("E");
double tol = 3*eps;
printf("%% If running lapack (option --lapack), MAGMA error is computed\n"
"%% relative to CPU BLAS result.\n\n");
printf("%% side = %s, uplo = %s, transA = %s, diag = %s\n",
lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag) );
printf("%% max max\n");
printf("%% BatchCount M 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 ) {
M = opts.msize[itest];
N = opts.nsize[itest];
srand( 1000 );
if ( opts.side == MagmaLeft ) {
h_lda = h_M;
h_Ak = h_M;
}
else {
h_lda = h_N;
h_Ak = h_N;
}
h_ldb = h_M;
gflops = 0;
max_M = max_N = 0;
total_sizeA_cpu = total_sizeA_dev = 0;
total_sizeB_cpu = total_sizeB_dev = 0;
for (int i = 0; i < batchCount; i++) {
h_M[i] = 1 + ( rand() % M );
h_N[i] = 1 + ( rand() % N );
h_ldda[i] = magma_roundup( h_lda[i], opts.align ); // multiple of 32 by default
h_lddb[i] = magma_roundup( h_ldb[i], opts.align ); // multiple of 32 by default
total_sizeA_cpu += h_lda[i] * h_Ak[i];
total_sizeB_cpu += h_ldb[i] * h_N[i];
total_sizeA_dev += h_ldda[i] * h_Ak[i];
total_sizeB_dev += h_lddb[i] * h_N[i];
max_M = max( max_M, h_M[i] );
max_N = max( max_N, h_N[i] );
gflops += FLOPS_ZTRMM(opts.side, h_M[i], h_N[i]);
}
gflops /= 1e9;
TESTING_CHECK( magma_zmalloc_cpu( &h_A, total_sizeA_cpu ) );
TESTING_CHECK( magma_zmalloc_cpu( &h_B, total_sizeB_cpu ) );
TESTING_CHECK( magma_zmalloc_cpu( &h_Bmagma, total_sizeB_cpu ) );
TESTING_CHECK( magma_zmalloc( &d_A, total_sizeA_dev ) );
TESTING_CHECK( magma_zmalloc( &d_B, total_sizeB_dev ) );
// assign gpu pointers
hA_array[0] = d_A;
hB_array[0] = d_B;
for (int i = 1; i < batchCount; i++) {
hA_array[i] = hA_array[i-1] + h_ldda[i-1] * h_Ak[i-1];
hB_array[i] = hB_array[i-1] + h_lddb[i-1] * h_N[i-1];
}
magma_setvector(batchCount, sizeof(magmaDoubleComplex*), hA_array, 1, dA_array, 1, opts.queue);
magma_setvector(batchCount, sizeof(magmaDoubleComplex*), hB_array, 1, dB_array, 1, opts.queue);
// send the sizes
magma_setvector(batchCount, sizeof(magma_int_t), h_M, 1, d_M, 1, opts.queue);
magma_setvector(batchCount, sizeof(magma_int_t), h_N, 1, d_N, 1, opts.queue);
magma_setvector(batchCount, sizeof(magma_int_t), h_ldda, 1, d_ldda, 1, opts.queue);
magma_setvector(batchCount, sizeof(magma_int_t), h_lddb, 1, d_lddb, 1, opts.queue);
/* Initialize the matrices */
lapackf77_zlarnv( &ione, ISEED, &total_sizeA_cpu, h_A );
lapackf77_zlarnv( &ione, ISEED, &total_sizeB_cpu, h_B );
// Compute norms for error
h_A_tmp = h_A;
h_B_tmp = h_B;
for (int s = 0; s < batchCount; ++s) {
Anorm[s] = lapackf77_zlantr( "F", lapack_uplo_const(opts.uplo),
lapack_diag_const(opts.diag),
&h_Ak[s], &h_Ak[s], h_A_tmp, &h_lda[s], work );
Bnorm[s] = lapackf77_zlange( "F", &h_M[s], &h_N[s], h_B_tmp, &h_ldb[s], work );
h_A_tmp += h_Ak[s] * h_lda[s];
h_B_tmp += h_N[s] * h_ldb[s];
}
// set A
h_A_tmp = h_A;
d_A_tmp = d_A;
for (int i = 0; i < batchCount; i++) {
magma_zsetmatrix( h_Ak[i], h_Ak[i], h_A_tmp, h_lda[i], d_A_tmp, h_ldda[i], opts.queue );
h_A_tmp += h_Ak[i] * h_lda[i];
d_A_tmp += h_Ak[i] * h_ldda[i];
}
/* =====================================================================
Performs operation using MAGMABLAS
=================================================================== */
// set B
h_B_tmp = h_B;
d_B_tmp = d_B;
for (int i = 0; i < batchCount; i++) {
magma_zsetmatrix( h_M[i], h_N[i], h_B_tmp, h_ldb[i], d_B_tmp, h_lddb[i], opts.queue );
h_B_tmp += h_N[i] * h_ldb[i];
d_B_tmp += h_N[i] * h_lddb[i];
}
magma_time = magma_sync_wtime( opts.queue );
magmablas_ztrmm_vbatched(
opts.side, opts.uplo, opts.transA, opts.diag,
d_M, d_N,
alpha, dA_array, d_ldda,
dB_array, d_lddb,
batchCount, opts.queue );
magma_time = magma_sync_wtime( opts.queue ) - magma_time;
magma_perf = gflops / magma_time;
h_B_tmp = h_Bmagma;
for (int i = 0; i < batchCount; i++) {
magma_zgetmatrix( h_M[i], h_N[i], hB_array[i], h_lddb[i], h_B_tmp, h_ldb[i], opts.queue );
h_B_tmp += h_ldb[i] * h_N[i];
}
/* =====================================================================
Performs operation using CPU BLAS
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
hA_array[0] = h_A;
hB_array[0] = h_B;
for (int s = 1; s < batchCount; s++) {
hA_array[s] = hA_array[s-1] + h_lda[s-1] * h_Ak[s-1];
hB_array[s] = hB_array[s-1] + h_ldb[s-1] * h_N[s-1];
}
#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 s=0; s < batchCount; s++){
blasf77_ztrmm( lapack_side_const(opts.side), lapack_uplo_const(opts.uplo),
lapack_trans_const(opts.transA), lapack_diag_const(opts.diag),
&h_M[s], &h_N[s],
&alpha, hA_array[s], &h_lda[s],
hB_array[s], &h_ldb[s] );
}
#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 = |dB - B| / (gamma_{k}|A||Bin|); k = Ak; no beta
magma_error = 0;
h_B_tmp = h_B;
h_Bmagma_tmp = h_Bmagma;
for (int s = 0; s < batchCount; s++) {
normalize = sqrt(double(h_Ak[s]))*Anorm[s]*Bnorm[s];
if (normalize == 0)
normalize = 1;
magma_int_t Bsize = h_ldb[s]*h_N[s];
blasf77_zaxpy( &Bsize, &c_neg_one, h_B_tmp, &ione, h_Bmagma_tmp, &ione );
error = lapackf77_zlange( "F", &h_M[s], &h_N[s], h_Bmagma_tmp, &h_ldb[s], work )
/ normalize;
magma_error = magma_max_nan( error, magma_error );
h_B_tmp += h_ldb[s] * h_N[s];
h_Bmagma_tmp += h_ldb[s] * h_N[s];
}
bool okay = (magma_error < tol);
status += ! okay;
printf(" %10lld %5lld %5lld %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(long long)batchCount,
(long long)max_M, (long long)max_N,
magma_perf, 1000.*magma_time,
cpu_perf, 1000.*cpu_time,
magma_error, (okay ? "ok" : "failed"));
}
else {
printf(" %10lld %5lld %5lld %7.2f (%7.2f) --- ( --- ) ---\n",
(long long)batchCount,
(long long)max_M, (long long)max_N,
magma_perf, 1000.*magma_time);
}
magma_free_cpu( h_A );
magma_free_cpu( h_B );
magma_free_cpu( h_Bmagma );
magma_free( d_A );
magma_free( d_B );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
magma_free( d_M );
magma_free( d_N );
magma_free( d_ldda );
magma_free( d_lddb );
magma_free( dA_array );
magma_free( dB_array );
magma_free_cpu( h_M );
magma_free_cpu( h_N );
magma_free_cpu( h_ldda );
magma_free_cpu( h_lddb );
magma_free_cpu( Anorm );
magma_free_cpu( Bnorm );
magma_free_cpu( hA_array );
magma_free_cpu( hB_array );
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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