File: testing_csysv_nopiv_gpu.cpp

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/*
    -- MAGMA (version 2.9.0) --
       Univ. of Tennessee, Knoxville
       Univ. of California, Berkeley
       Univ. of Colorado, Denver
       @date January 2025

       @generated from testing/testing_zsysv_nopiv_gpu.cpp, normal z -> c, Wed Jan 22 14:40:28 2025
       
       @author Mark Gates
       @author Adrien Remy
*/
// includes, system
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>

// includes, project
#include "flops.h"
#include "magma_v2.h"
#include "magma_lapack.h"
#include "testings.h"


/* ////////////////////////////////////////////////////////////////////////////
   -- Testing csysv_nopiv_gpu
*/
int main(int argc, char **argv)
{
    TESTING_CHECK( magma_init() );
    magma_print_environment();

    real_Double_t   gflops, cpu_perf, cpu_time, gpu_perf, gpu_time;
    float          error, Rnorm, Anorm, Xnorm, *work;
    magmaFloatComplex c_one     = MAGMA_C_ONE;
    magmaFloatComplex c_neg_one = MAGMA_C_NEG_ONE;
    magmaFloatComplex *h_A, *h_B, *h_X, temp, *hwork;
    magmaFloatComplex_ptr d_A, d_B;
    magma_int_t *ipiv;
    magma_int_t N, nrhs, lda, ldb, ldda, lddb, info, sizeB, lwork;
    magma_int_t ione     = 1;
    magma_int_t ISEED[4] = {0,0,0,1};
    int status = 0;
    
    magma_opts opts;
    opts.parse_opts( argc, argv );
    
    float tol = opts.tolerance * lapackf77_slamch("E");
    
    nrhs = opts.nrhs;
    
    printf("%%   N  NRHS   CPU Gflop/s (sec)   GPU Gflop/s (sec)   ||B - AX|| / N*||A||*||X||\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;
            ldb    = lda;
            ldda   = magma_roundup( N, opts.align );  // multiple of 32 by default
            lddb   = ldda;
            gflops = ( FLOPS_CPOTRF( N ) + FLOPS_CPOTRS( N, nrhs ) ) / 1e9;
            
            TESTING_CHECK( magma_cmalloc_cpu( &h_A, lda*N    ));
            TESTING_CHECK( magma_cmalloc_cpu( &h_B, ldb*nrhs ));
            TESTING_CHECK( magma_cmalloc_cpu( &h_X, ldb*nrhs ));
            TESTING_CHECK( magma_smalloc_cpu( &work, N ));
            TESTING_CHECK( magma_imalloc_cpu( &ipiv, N ));
            
            TESTING_CHECK( magma_cmalloc( &d_A, ldda*N    ));
            TESTING_CHECK( magma_cmalloc( &d_B, lddb*nrhs ));
            
            /* Initialize the matrices */
            //sizeA = lda*N;
            sizeB = ldb*nrhs;
            magma_generate_matrix( opts, N, N, h_A, lda );
            lapackf77_clarnv( &ione, ISEED, &sizeB, h_B );
            
            bool nopiv = true;
            if ( nopiv ) {
                magma_cmake_spd( N, h_A, lda );  // SPD does not require pivoting
            }
            else {
                magma_cmake_symmetric( N, h_A, lda );  // symmetric generally requires pivoting
            }
            
            magma_csetmatrix( N, N,    h_A, lda, d_A, ldda, opts.queue );
            magma_csetmatrix( N, nrhs, h_B, ldb, d_B, lddb, opts.queue );
            
            /* ====================================================================
               Performs operation using MAGMA
               =================================================================== */
            gpu_time = magma_wtime();

            magma_csysv_nopiv_gpu( opts.uplo, N, nrhs, d_A, ldda, d_B, lddb, &info );
            gpu_time = magma_wtime() - gpu_time;
            gpu_perf = gflops / gpu_time;
            if (info != 0) {
                printf("magma_cgesv_gpu returned error %lld: %s.\n",
                       (long long) info, magma_strerror( info ));
            }
            
            //=====================================================================
            // Residual
            //=====================================================================
            magma_cgetmatrix( N, nrhs, d_B, lddb, h_X, ldb, opts.queue );
            
            Anorm = lapackf77_clange("I", &N, &N,    h_A, &lda, work);
            Xnorm = lapackf77_clange("I", &N, &nrhs, h_X, &ldb, work);
            
            blasf77_cgemm( MagmaNoTransStr, MagmaNoTransStr, &N, &nrhs, &N,
                           &c_one,     h_A, &lda,
                                       h_X, &ldb,
                           &c_neg_one, h_B, &ldb);
            
            Rnorm = lapackf77_clange("I", &N, &nrhs, h_B, &ldb, work);
            error = Rnorm/(N*Anorm*Xnorm);
            status += ! (error < tol);
            
            /* ====================================================================
               Performs operation using LAPACK
               =================================================================== */
            if ( opts.lapack ) {
                lwork = -1;
                lapackf77_csysv( lapack_uplo_const(opts.uplo), &N, &nrhs,
                                 h_A, &lda, ipiv, h_B, &ldb, &temp, &lwork, &info );
                lwork = (magma_int_t) MAGMA_C_REAL( temp );
                TESTING_CHECK( magma_cmalloc_cpu( &hwork, lwork ));

                cpu_time = magma_wtime();
                lapackf77_csysv( lapack_uplo_const(opts.uplo), &N, &nrhs,
                                 h_A, &lda, ipiv, h_B, &ldb, hwork, &lwork, &info );
                cpu_time = magma_wtime() - cpu_time;
                cpu_perf = gflops / cpu_time;
                if (info != 0) {
                    printf("lapackf77_chesv returned error %lld: %s.\n",
                           (long long) info, magma_strerror( info ));
                }
                
                printf( "%5lld %5lld   %7.2f (%7.2f)   %7.2f (%7.2f)   %8.2e   %s\n",
                        (long long) N, (long long) nrhs, cpu_perf, cpu_time, gpu_perf, gpu_time,
                        error, (error < tol ? "ok" : "failed"));
                magma_free_cpu( hwork );
            }
            else {
                printf( "%5lld %5lld     ---   (  ---  )   %7.2f (%7.2f)   %8.2e   %s\n",
                        (long long) N, (long long) nrhs, gpu_perf, gpu_time,
                        error, (error < tol ? "ok" : "failed"));
            }
            
            magma_free_cpu( h_A );
            magma_free_cpu( h_B );
            magma_free_cpu( h_X );
            magma_free_cpu( work );
            magma_free_cpu( ipiv );
            
            magma_free( d_A );
            magma_free( d_B );
            fflush( stdout );
        }
        if ( opts.niter > 1 ) {
            printf( "\n" );
        }
    }

    opts.cleanup();
    TESTING_CHECK( magma_finalize() );
    return status;
}