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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 mixed zc -> ds
*/
// 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"
/* ////////////////////////////////////////////////////////////////////////////
-- Testing zcgeqrsv
*/
int main( int argc, char** argv)
{
TESTING_CHECK( magma_init() );
magma_print_environment();
real_Double_t gflops, gpu_perf, gpu_time, cpu_perf, cpu_time, gpu_perfd, gpu_perfs;
double error, gpu_error, cpu_error, Anorm, work[1];
magmaDoubleComplex c_one = MAGMA_Z_ONE;
magmaDoubleComplex c_neg_one = MAGMA_Z_NEG_ONE;
magmaDoubleComplex *h_A, *h_A2, *h_B, *h_X, *h_R, unused[1];
magmaDoubleComplex_ptr d_A, d_B, d_X, d_T;
magmaFloatComplex *d_SA, *d_SB;
magmaDoubleComplex *h_workd, *tau, tmp[1];
magmaFloatComplex *h_works;
magma_int_t lda, ldb, lhwork, lworkgpu;
magma_int_t ldda, lddb, lddx;
magma_int_t M, N, nrhs, qrsv_iters, info, size, min_mn, max_mn, nb;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
printf("%% Epsilon(double): %8.6e\n"
"%% Epsilon(single): %8.6e\n\n",
lapackf77_dlamch("Epsilon"), lapackf77_slamch("Epsilon") );
int status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("E");
nrhs = opts.nrhs;
printf("%% CPU Gflop/s GPU Gflop/s |b-Ax|| / (N||A||) ||dx-x||/(N||A||)\n");
printf("%% M N NRHS double double single mixed Iter CPU GPU \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];
if ( M < N ) {
printf( "%5lld %5lld %5lld skipping because M < N is not yet supported.\n", (long long) M, (long long) N, (long long) nrhs );
continue;
}
min_mn = min(M, N);
max_mn = max(M, N);
lda = M;
ldb = max_mn;
ldda = magma_roundup( M, opts.align ); // multiple of 32 by default
lddb = magma_roundup( max_mn, opts.align ); // multiple of 32 by default
lddx = magma_roundup( N, opts.align ); // multiple of 32 by default
nb = max( magma_get_zgeqrf_nb( M, N ),
magma_get_cgeqrf_nb( M, N ) );
gflops = (FLOPS_ZGEQRF( M, N ) + FLOPS_ZGEQRS( M, N, nrhs )) / 1e9;
lworkgpu = (M - N + nb)*(nrhs + nb) + nrhs*nb;
// query for workspace size
lhwork = -1;
lapackf77_zgels( MagmaNoTransStr, &M, &N, &nrhs,
unused, &lda,
unused, &ldb,
tmp, &lhwork, &info );
lhwork = (magma_int_t) MAGMA_Z_REAL( tmp[0] );
lhwork = max( lhwork, lworkgpu );
TESTING_CHECK( magma_zmalloc_cpu( &tau, min_mn ));
TESTING_CHECK( magma_zmalloc_cpu( &h_A, lda*N ));
TESTING_CHECK( magma_zmalloc_cpu( &h_A2, lda*N ));
TESTING_CHECK( magma_zmalloc_cpu( &h_B, ldb*nrhs ));
TESTING_CHECK( magma_zmalloc_cpu( &h_X, ldb*nrhs ));
TESTING_CHECK( magma_zmalloc_cpu( &h_R, ldb*nrhs ));
TESTING_CHECK( magma_zmalloc_cpu( &h_workd, lhwork ));
h_works = (magmaFloatComplex*)h_workd;
TESTING_CHECK( magma_zmalloc( &d_A, ldda*N ));
TESTING_CHECK( magma_zmalloc( &d_B, lddb*nrhs ));
TESTING_CHECK( magma_zmalloc( &d_X, lddx*nrhs ));
TESTING_CHECK( magma_zmalloc( &d_T, ( 2*min_mn + magma_roundup( N, 32 ) )*nb ));
/* Initialize the matrices */
magma_generate_matrix( opts, M, N, h_A, lda );
lapackf77_zlacpy( MagmaFullStr, &M, &N, h_A, &lda, h_A2, &lda );
// make random RHS
size = ldb*nrhs;
lapackf77_zlarnv( &ione, ISEED, &size, h_B );
lapackf77_zlacpy( MagmaFullStr, &M, &nrhs, h_B, &ldb, h_R, &ldb );
magma_zsetmatrix( M, N, h_A, lda, d_A, ldda, opts.queue );
magma_zsetmatrix( M, nrhs, h_B, ldb, d_B, lddb, opts.queue );
//=====================================================================
// Mixed Precision Iterative Refinement - GPU
//=====================================================================
gpu_time = magma_wtime();
magma_zcgeqrsv_gpu( M, N, nrhs,
d_A, ldda, d_B, lddb,
d_X, lddx, &qrsv_iters, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_zcgeqrsv returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
// compute the residual
magma_zgetmatrix( N, nrhs, d_X, lddx, h_X, ldb, opts.queue );
blasf77_zgemm( MagmaNoTransStr, MagmaNoTransStr, &M, &nrhs, &N,
&c_neg_one, h_A, &lda,
h_X, &ldb,
&c_one, h_R, &ldb);
Anorm = lapackf77_zlange("f", &M, &N, h_A, &lda, work);
//=====================================================================
// Double Precision Solve
//=====================================================================
magma_zsetmatrix( M, N, h_A, lda, d_A, ldda, opts.queue );
magma_zsetmatrix( M, nrhs, h_B, ldb, d_B, lddb, opts.queue );
gpu_time = magma_wtime();
magma_zgels_gpu( MagmaNoTrans, M, N, nrhs, d_A, ldda,
d_B, lddb, h_workd, lworkgpu, &info);
gpu_time = magma_wtime() - gpu_time;
gpu_perfd = gflops / gpu_time;
//=====================================================================
// Single Precision Solve
//=====================================================================
magma_zsetmatrix( M, N, h_A, lda, d_A, ldda, opts.queue );
magma_zsetmatrix( M, nrhs, h_B, ldb, d_B, lddb, opts.queue );
/* The allocation of d_SA and d_SB is done here to avoid
* to double the memory used on GPU with zcgeqrsv */
TESTING_CHECK( magma_cmalloc( &d_SA, ldda*N ));
TESTING_CHECK( magma_cmalloc( &d_SB, lddb*nrhs ));
magmablas_zlag2c( M, N, d_A, ldda, d_SA, ldda, opts.queue, &info );
magmablas_zlag2c( N, nrhs, d_B, lddb, d_SB, lddb, opts.queue, &info );
gpu_time = magma_wtime();
magma_cgels_gpu( MagmaNoTrans, M, N, nrhs, d_SA, ldda,
d_SB, lddb, h_works, lhwork, &info);
gpu_time = magma_wtime() - gpu_time;
gpu_perfs = gflops / gpu_time;
magma_free( d_SA );
magma_free( d_SB );
/* =====================================================================
Performs operation using LAPACK
=================================================================== */
lapackf77_zlacpy( MagmaFullStr, &M, &nrhs, h_B, &ldb, h_X, &ldb );
cpu_time = magma_wtime();
lapackf77_zgels( MagmaNoTransStr, &M, &N, &nrhs,
h_A, &lda, h_X, &ldb, h_workd, &lhwork, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_zgels returned error %lld: %s.\n",
(long long) info, magma_strerror( info ));
}
blasf77_zgemm( MagmaNoTransStr, MagmaNoTransStr, &M, &nrhs, &N,
&c_neg_one, h_A2, &lda,
h_X, &ldb,
&c_one, h_B, &ldb );
cpu_error = lapackf77_zlange("f", &M, &nrhs, h_B, &ldb, work) / (min_mn*Anorm);
gpu_error = lapackf77_zlange("f", &M, &nrhs, h_R, &ldb, work) / (min_mn*Anorm);
// error relative to LAPACK
size = M*nrhs;
blasf77_zaxpy( &size, &c_neg_one, h_B, &ione, h_R, &ione );
error = lapackf77_zlange("f", &M, &nrhs, h_R, &ldb, work) / (min_mn*Anorm);
printf("%5lld %5lld %5lld %7.2f %7.2f %7.2f %7.2f %4lld %8.2e %8.2e %8.2e %s\n",
(long long) M, (long long) N, (long long) nrhs,
cpu_perf, gpu_perfd, gpu_perfs, gpu_perf,
(long long) qrsv_iters,
cpu_error, gpu_error, error, (error < tol ? "ok" : "failed"));
status += ! (error < tol);
magma_free_cpu( tau );
magma_free_cpu( h_A );
magma_free_cpu( h_A2 );
magma_free_cpu( h_B );
magma_free_cpu( h_X );
magma_free_cpu( h_R );
magma_free_cpu( h_workd );
magma_free( d_A );
magma_free( d_B );
magma_free( d_X );
magma_free( d_T );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_CHECK( magma_finalize() );
return status;
}
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