/* ////////////////////////////////////////////////////////////////////////////
-- Testing dsysv_nopiv_gpu
*/
int main(int argc, char **argv)
{
TESTING_INIT();
real_Double_t gflops, cpu_perf, cpu_time, gpu_perf, gpu_time;
double error, Rnorm, Anorm, Xnorm, *work;
double c_one = MAGMA_D_ONE;
double c_neg_one = MAGMA_D_NEG_ONE;
double *h_A, *h_B, *h_X, temp, *hwork;
magmaDouble_ptr d_A, d_B;
magma_int_t *ipiv;
magma_int_t N, nrhs, lda, ldb, ldda, lddb, info, sizeA, sizeB, lwork;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t status = 0;
magma_opts opts;
parse_opts( argc, argv, &opts );
double tol = opts.tolerance * lapackf77_dlamch("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 = ((N+31)/32)*32;
lddb = ldda;
gflops = ( FLOPS_DGETRF( N, N ) + FLOPS_DGETRS( N, nrhs ) ) / 1e9;
TESTING_MALLOC_CPU( h_A, double, lda*N );
TESTING_MALLOC_CPU( h_B, double, ldb*nrhs );
TESTING_MALLOC_CPU( h_X, double, ldb*nrhs );
TESTING_MALLOC_CPU( work, double, N );
TESTING_MALLOC_CPU( ipiv, magma_int_t, N );
TESTING_MALLOC_DEV( d_A, double, ldda*N );
TESTING_MALLOC_DEV( d_B, double, lddb*nrhs );
/* Initialize the matrices */
sizeA = lda*N;
sizeB = ldb*nrhs;
lapackf77_dlarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_dlarnv( &ione, ISEED, &sizeB, h_B );
bool nopiv = true;
if ( nopiv ) {
magma_dmake_hpd( N, h_A, lda ); // SPD / HPD does not require pivoting
}
else {
magma_dmake_symmetric( N, h_A, lda ); // symmetric/symmetric generally requires pivoting
}
magma_dsetmatrix( N, N, h_A, lda, d_A, ldda );
magma_dsetmatrix( N, nrhs, h_B, ldb, d_B, lddb );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
magma_dsysv_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_dgesv_gpu returned error %d: %s.\n",
(int) info, magma_strerror( info ));
//=====================================================================
// Residual
//=====================================================================
magma_dgetmatrix( N, nrhs, d_B, lddb, h_X, ldb );
Anorm = lapackf77_dlange("I", &N, &N, h_A, &lda, work);
Xnorm = lapackf77_dlange("I", &N, &nrhs, h_X, &ldb, work);
blasf77_dgemm( MagmaNoTransStr, MagmaNoTransStr, &N, &nrhs, &N,
&c_one, h_A, &lda,
h_X, &ldb,
&c_neg_one, h_B, &ldb);
Rnorm = lapackf77_dlange("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_dsysv( lapack_uplo_const(opts.uplo), &N,&nrhs,
h_A, &lda, ipiv, h_B, &ldb, &temp, &lwork, &info );
lwork = (magma_int_t) MAGMA_D_REAL( temp );
TESTING_MALLOC_PIN( hwork, double, lwork );
cpu_time = magma_wtime();
lapackf77_dsysv( 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_dsysv returned error %d: %s.\n",
(int) info, magma_strerror( info ));
printf( "%5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(int) N, (int) nrhs, cpu_perf, cpu_time, gpu_perf, gpu_time,
error, (error < tol ? "ok" : "failed"));
TESTING_FREE_CPU( hwork );
}
else {
printf( "%5d %5d --- ( --- ) %7.2f (%7.2f) %8.2e %s\n",
(int) N, (int) nrhs, gpu_perf, gpu_time,
error, (error < tol ? "ok" : "failed"));
}
TESTING_FREE_CPU( h_A );
TESTING_FREE_CPU( h_B );
TESTING_FREE_CPU( h_X );
TESTING_FREE_CPU( work );
TESTING_FREE_CPU( ipiv );
TESTING_FREE_DEV( d_A );
TESTING_FREE_DEV( d_B );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
TESTING_FINALIZE();
return status;
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing dgesv_gpu
*/
int main(int argc, char **argv)
{
TESTING_INIT();
real_Double_t gflops, cpu_perf, cpu_time, gpu_perf, gpu_time;
double error, Rnorm, Anorm, Xnorm, *work;
double c_one = MAGMA_D_ONE;
double c_neg_one = MAGMA_D_NEG_ONE;
double *h_A, *h_B, *h_X;
magmaDouble_ptr d_A, d_B;
magma_int_t *ipiv;
magma_int_t N, nrhs, lda, ldb, ldda, lddb, info, sizeA, sizeB;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};
magma_int_t status = 0;
magma_opts opts;
opts.parse_opts( argc, argv );
double tol = opts.tolerance * lapackf77_dlamch("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_DGETRF( N, N ) + FLOPS_DGETRS( N, nrhs ) ) / 1e9;
TESTING_MALLOC_CPU( h_A, double, lda*N );
TESTING_MALLOC_CPU( h_B, double, ldb*nrhs );
TESTING_MALLOC_CPU( h_X, double, ldb*nrhs );
TESTING_MALLOC_CPU( work, double, N );
TESTING_MALLOC_CPU( ipiv, magma_int_t, N );
TESTING_MALLOC_DEV( d_A, double, ldda*N );
TESTING_MALLOC_DEV( d_B, double, lddb*nrhs );
/* Initialize the matrices */
sizeA = lda*N;
sizeB = ldb*nrhs;
lapackf77_dlarnv( &ione, ISEED, &sizeA, h_A );
lapackf77_dlarnv( &ione, ISEED, &sizeB, h_B );
magma_dsetmatrix( N, N, h_A, lda, d_A, ldda, opts.queue );
magma_dsetmatrix( N, nrhs, h_B, ldb, d_B, lddb, opts.queue );
/* ====================================================================
Performs operation using MAGMA
=================================================================== */
gpu_time = magma_wtime();
magma_dgesv_gpu( N, nrhs, d_A, ldda, ipiv, d_B, lddb, &info );
gpu_time = magma_wtime() - gpu_time;
gpu_perf = gflops / gpu_time;
if (info != 0) {
printf("magma_dgesv_gpu returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
//=====================================================================
// Residual
//=====================================================================
magma_dgetmatrix( N, nrhs, d_B, lddb, h_X, ldb, opts.queue );
Anorm = lapackf77_dlange("I", &N, &N, h_A, &lda, work);
Xnorm = lapackf77_dlange("I", &N, &nrhs, h_X, &ldb, work);
blasf77_dgemm( MagmaNoTransStr, MagmaNoTransStr, &N, &nrhs, &N,
&c_one, h_A, &lda,
h_X, &ldb,
&c_neg_one, h_B, &ldb);
Rnorm = lapackf77_dlange("I", &N, &nrhs, h_B, &ldb, work);
error = Rnorm/(N*Anorm*Xnorm);
status += ! (error < tol);
/* ====================================================================
Performs operation using LAPACK
=================================================================== */
if ( opts.lapack ) {
cpu_time = magma_wtime();
lapackf77_dgesv( &N, &nrhs, h_A, &lda, ipiv, h_B, &ldb, &info );
cpu_time = magma_wtime() - cpu_time;
cpu_perf = gflops / cpu_time;
if (info != 0) {
printf("lapackf77_dgesv returned error %d: %s.\n",
(int) info, magma_strerror( info ));
}
printf( "%5d %5d %7.2f (%7.2f) %7.2f (%7.2f) %8.2e %s\n",
(int) N, (int) nrhs, cpu_perf, cpu_time, gpu_perf, gpu_time,
error, (error < tol ? "ok" : "failed"));
}
else {
printf( "%5d %5d --- ( --- ) %7.2f (%7.2f) %8.2e %s\n",
(int) N, (int) nrhs, gpu_perf, gpu_time,
error, (error < tol ? "ok" : "failed"));
}
TESTING_FREE_CPU( h_A );
TESTING_FREE_CPU( h_B );
TESTING_FREE_CPU( h_X );
TESTING_FREE_CPU( work );
TESTING_FREE_CPU( ipiv );
TESTING_FREE_DEV( d_A );
TESTING_FREE_DEV( d_B );
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
opts.cleanup();
TESTING_FINALIZE();
return status;
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing dgesv
*/
int main(int argc , char **argv)
{
TESTING_CUDA_INIT();
real_Double_t gflops, gpu_perf, gpu_time;
double Rnorm, Anorm, Xnorm, *work;
double c_one = MAGMA_D_ONE;
double c_neg_one = MAGMA_D_NEG_ONE;
double *h_A, *h_LU, *h_B, *h_X;
magma_int_t *ipiv;
magma_int_t lda, ldb;
magma_int_t i, info, szeA, szeB;
magma_int_t ione = 1;
magma_int_t N = 0;
magma_int_t NRHS = 100;
magma_int_t ISEED[4] = {0,0,0,1};
const int MAXTESTS = 10;
magma_int_t size[MAXTESTS] = { 1024, 2048, 3072, 4032, 5184, 6016, 7040, 8064, 9088, 10112 };
// process command line arguments
printf( "\nUsage: %s -N <matrix size> -R <right hand sides>\n", argv[0] );
printf( " -N can be repeated up to %d times\n\n", MAXTESTS );
int ntest = 0;
for( int i = 1; i < argc; ++i ) {
if ( strcmp("-N", argv[i]) == 0 && i+1 < argc ) {
magma_assert( ntest < MAXTESTS, "error: -N repeated more than maximum %d tests\n", MAXTESTS );
size[ntest] = atoi( argv[++i] );
magma_assert( size[ntest] > 0, "error: -N %s is invalid; must be > 0.\n", argv[i] );
N = max( N, size[ntest] );
ntest++;
}
else if ( strcmp("-R", argv[i]) == 0 && i+1 < argc ) {
NRHS = atoi( argv[++i] );
magma_assert( NRHS > 0, "error: -R %is is invalid; must be > 0.\n", argv[i] );
}
else {
printf( "invalid argument: %s\n", argv[i] );
exit(1);
}
}
if ( ntest == 0 ) {
ntest = MAXTESTS;
N = size[ntest-1];
}
// allocate maximum amount of memory required
lda = ldb = N;
TESTING_MALLOC( h_A, double, lda*N );
TESTING_MALLOC( h_LU, double, lda*N );
TESTING_MALLOC( h_B, double, ldb*NRHS );
TESTING_MALLOC( h_X, double, ldb*NRHS );
TESTING_MALLOC( work, double, N );
TESTING_MALLOC( ipiv, magma_int_t, N );
printf(" N NRHS GPU GFlop/s (sec) ||B - AX|| / ||A||*||X||\n");
printf("===========================================================\n");
for( i = 0; i < ntest; ++i ) {
N = size[i];
lda = ldb = N;
gflops = ( FLOPS_DGETRF( (double)N, (double)N ) +
FLOPS_DGETRS( (double)N, (double)NRHS ) ) / 1e9;
/* Initialize the matrices */
szeA = lda*N;
szeB = ldb*NRHS;
lapackf77_dlarnv( &ione, ISEED, &szeA, h_A );
lapackf77_dlarnv( &ione, ISEED, &szeB, h_B );
// copy A to LU and B to X; save A and B for residual
lapackf77_dlacpy( "F", &N, &N, h_A, &lda, h_LU, &lda );
lapackf77_dlacpy( "F", &N, &NRHS, h_B, &ldb, h_X, &ldb );
//=====================================================================
// Solve Ax = b through an LU factorization
//=====================================================================
gpu_time = magma_wtime();
magma_dgesv( N, NRHS, h_LU, lda, ipiv, h_X, ldb, &info );
gpu_time = magma_wtime() - gpu_time;
if (info != 0)
printf("magma_dgesv returned error %d.\n", (int) info);
gpu_perf = gflops / gpu_time;
//=====================================================================
// Residual
//=====================================================================
Anorm = lapackf77_dlange("I", &N, &N, h_A, &lda, work);
Xnorm = lapackf77_dlange("I", &N, &NRHS, h_X, &ldb, work);
blasf77_dgemm( MagmaNoTransStr, MagmaNoTransStr, &N, &NRHS, &N,
&c_one, h_A, &lda,
h_X, &ldb,
&c_neg_one, h_B, &ldb);
Rnorm = lapackf77_dlange("I", &N, &NRHS, h_B, &ldb, work);
printf( "%5d %5d %7.2f (%7.2f) %8.2e\n",
(int) N, (int) NRHS, gpu_perf, gpu_time, Rnorm/(Anorm*Xnorm) );
}
/* Memory clean up */
TESTING_FREE( h_A );
TESTING_FREE( h_LU );
TESTING_FREE( h_B );
TESTING_FREE( h_X );
TESTING_FREE( work );
TESTING_FREE( ipiv );
/* Shutdown */
TESTING_CUDA_FINALIZE();
}
