/* ////////////////////////////////////////////////////////////////////////////
-- Testing chegvdx
*/
int main( int argc, char** argv)
{
TESTING_INIT();
real_Double_t gpu_time;
magmaFloatComplex *h_A, *h_R, *h_work;
#if defined(PRECISION_z) || defined(PRECISION_c)
float *rwork;
magma_int_t lrwork;
#endif
/* Matrix size */
float *w1, *w2;
magma_int_t *iwork;
magma_int_t N, n2, info, lwork, liwork;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};;
magma_int_t info_ortho = 0;
magma_int_t info_solution = 0;
magma_int_t info_reduction = 0;
magma_timestr_t start, end;
magma_opts opts;
parse_opts( argc, argv, &opts );
magma_int_t ngpu = opts.ngpu;
char jobz = opts.jobz;
magma_int_t checkres = opts.check;
char range = 'A';
char uplo = opts.uplo;
magma_int_t itype = opts.itype;
float f = opts.fraction;
if (f != 1)
range='I';
if ( checkres && jobz == MagmaNoVec ) {
fprintf( stderr, "checking results requires vectors; setting jobz=V (option -JV)\n" );
jobz = MagmaVec;
}
printf("using: itype = %d, jobz = %c, range = %c, uplo = %c, checkres = %d, fraction = %6.4f\n",
(int) itype, jobz, range, uplo, (int) checkres, f);
printf(" N M GPU Time(s) \n");
printf("==========================\n");
magma_int_t threads = magma_get_numthreads();
for( magma_int_t i = 0; i < opts.ntest; ++i ) {
for( magma_int_t iter = 0; iter < opts.niter; ++iter ) {
N = opts.nsize[i];
n2 = N*N;
#if defined(PRECISION_z) || defined(PRECISION_c)
lwork = magma_cbulge_get_lq2(N, threads) + 2*N + N*N;
lrwork = 1 + 5*N +2*N*N;
#else
lwork = magma_cbulge_get_lq2(N, threads) + 1 + 6*N + 2*N*N;
#endif
liwork = 3 + 5*N;
/* Allocate host memory for the matrix */
TESTING_MALLOC( h_A, magmaFloatComplex, n2);
TESTING_MALLOC( w1, float , N);
TESTING_MALLOC( w2, float , N);
TESTING_HOSTALLOC(h_R, magmaFloatComplex, n2);
TESTING_HOSTALLOC(h_work, magmaFloatComplex, lwork);
#if defined(PRECISION_z) || defined(PRECISION_c)
TESTING_HOSTALLOC( rwork, float, lrwork);
#endif
TESTING_MALLOC( iwork, magma_int_t, liwork);
/* Initialize the matrix */
lapackf77_clarnv( &ione, ISEED, &n2, h_A );
/* Make diagonal real */
for(int i=0; i<N; i++) {
MAGMA_C_SET2REAL( h_A[i*N+i], MAGMA_C_REAL(h_A[i*N+i]) );
}
magma_int_t m1 = 0;
float vl = 0;
float vu = 0;
magma_int_t il = 0;
magma_int_t iu = 0;
if (range == 'I'){
il = 1;
iu = (int) (f*N);
}
if(opts.warmup){
// ==================================================================
// Warmup using MAGMA
// ==================================================================
lapackf77_clacpy( MagmaUpperLowerStr, &N, &N, h_A, &N, h_R, &N );
if(ngpu==1){
printf("calling cheevdx_2stage 1 GPU\n");
magma_cheevdx_2stage(jobz, range, uplo, N,
h_R, N,
vl, vu, il, iu,
&m1, w1,
h_work, lwork,
#if defined(PRECISION_z) || defined(PRECISION_c)
rwork, lrwork,
#endif
iwork, liwork,
&info);
}else{
printf("calling cheevdx_2stage_m %d GPU\n", (int) ngpu);
magma_cheevdx_2stage_m(ngpu, jobz, range, uplo, N,
h_R, N,
vl, vu, il, iu,
&m1, w1,
h_work, lwork,
#if defined(PRECISION_z) || defined(PRECISION_c)
rwork, lrwork,
#endif
iwork, liwork,
&info);
}
}
// ===================================================================
// Performs operation using MAGMA
// ===================================================================
lapackf77_clacpy( MagmaUpperLowerStr, &N, &N, h_A, &N, h_R, &N );
start = get_current_time();
if(ngpu==1){
printf("calling cheevdx_2stage 1 GPU\n");
magma_cheevdx_2stage(jobz, range, uplo, N,
h_R, N,
vl, vu, il, iu,
&m1, w1,
h_work, lwork,
#if defined(PRECISION_z) || defined(PRECISION_c)
rwork, lrwork,
#endif
iwork, liwork,
&info);
}else{
printf("calling cheevdx_2stage_m %d GPU\n", (int) ngpu);
magma_cheevdx_2stage_m(ngpu, jobz, range, uplo, N,
h_R, N,
vl, vu, il, iu,
&m1, w1,
h_work, lwork,
#if defined(PRECISION_z) || defined(PRECISION_c)
rwork, lrwork,
#endif
iwork, liwork,
&info);
}
end = get_current_time();
gpu_time = GetTimerValue(start,end)/1000.;
if ( checkres ) {
float eps = lapackf77_slamch("E");
printf("\n");
printf("------ TESTS FOR MAGMA CHEEVD ROUTINE ------- \n");
printf(" Size of the Matrix %d by %d\n", (int) N, (int) N);
printf("\n");
printf(" The matrix A is randomly generated for each test.\n");
printf("============\n");
printf(" The relative machine precision (eps) is %8.2e\n",eps);
printf(" Computational tests pass if scaled residuals are less than 60.\n");
/* Check the orthogonality, reduction and the eigen solutions */
if (jobz == MagmaVec) {
info_ortho = check_orthogonality(N, N, h_R, N, eps);
info_reduction = check_reduction(uplo, N, 1, h_A, w1, N, h_R, eps);
}
printf("------ CALLING LAPACK CHEEVD TO COMPUTE only eigenvalue and verify elementswise ------- \n");
lapackf77_cheevd("N", "L", &N,
h_A, &N, w2,
h_work, &lwork,
#if defined(PRECISION_z) || defined(PRECISION_c)
rwork, &lrwork,
#endif
iwork, &liwork,
&info);
info_solution = check_solution(N, w2, w1, eps);
if ( (info_solution == 0) & (info_ortho == 0) & (info_reduction == 0) ) {
printf("***************************************************\n");
printf(" ---- TESTING CHEEVD ...................... PASSED !\n");
printf("***************************************************\n");
}
else {
printf("************************************************\n");
printf(" - TESTING CHEEVD ... FAILED !\n");
printf("************************************************\n");
}
}
/* =====================================================================
Print execution time
=================================================================== */
printf("%5d %5d %6.2f\n",
(int) N, (int) m1, gpu_time);
TESTING_FREE( h_A);
TESTING_FREE( w1);
TESTING_FREE( w2);
#if defined(PRECISION_z) || defined(PRECISION_c)
TESTING_HOSTFREE( rwork);
#endif
TESTING_FREE( iwork);
TESTING_HOSTFREE(h_work);
TESTING_HOSTFREE( h_R);
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
/* Shutdown */
TESTING_FINALIZE();
return 0;
}
/* ////////////////////////////////////////////////////////////////////////////
-- Testing dsygvdx
*/
int main( int argc, char** argv)
{
TESTING_INIT();
real_Double_t gpu_time;
double *h_A, *h_R, *h_work;
#if defined(PRECISION_z) || defined(PRECISION_c)
double *rwork;
magma_int_t lrwork;
#endif
/* Matrix size */
double *w1, *w2;
magma_int_t *iwork;
magma_int_t N, n2, info, lwork, liwork;
magma_int_t ione = 1;
magma_int_t ISEED[4] = {0,0,0,1};;
magma_int_t info_ortho = 0;
magma_int_t info_solution = 0;
magma_int_t info_reduction = 0;
magma_int_t status = 0;
magma_opts opts;
parse_opts( argc, argv, &opts );
magma_range_t range = MagmaRangeAll;
if (opts.fraction != 1)
range = MagmaRangeI;
if ( opts.check && opts.jobz == MagmaNoVec ) {
fprintf( stderr, "checking results requires vectors; setting jobz=V (option -JV)\n" );
opts.jobz = MagmaVec;
}
printf("using: itype = %d, jobz = %s, range = %s, uplo = %s, check = %d, fraction = %6.4f\n",
(int) opts.itype, lapack_vec_const(opts.jobz), lapack_range_const(range), lapack_uplo_const(opts.uplo),
(int) opts.check, opts.fraction);
printf(" N M GPU Time (sec) ||I-Q'Q||/. ||A-QDQ'||/. ||D-D_magma||/.\n");
printf("=======================================================================\n");
magma_int_t threads = magma_get_parallel_numthreads();
for( int itest = 0; itest < opts.ntest; ++itest ) {
for( int iter = 0; iter < opts.niter; ++iter ) {
N = opts.nsize[itest];
n2 = N*N;
#if defined(PRECISION_z) || defined(PRECISION_c)
lwork = magma_dbulge_get_lq2(N, threads) + 2*N + N*N;
lrwork = 1 + 5*N +2*N*N;
#else
lwork = magma_dbulge_get_lq2(N, threads) + 1 + 6*N + 2*N*N;
#endif
liwork = 3 + 5*N;
/* Allocate host memory for the matrix */
TESTING_MALLOC_CPU( h_A, double, n2 );
TESTING_MALLOC_CPU( w1, double, N );
TESTING_MALLOC_CPU( w2, double, N );
TESTING_MALLOC_CPU( iwork, magma_int_t, liwork );
TESTING_MALLOC_PIN( h_R, double, n2 );
TESTING_MALLOC_PIN( h_work, double, lwork );
#if defined(PRECISION_z) || defined(PRECISION_c)
TESTING_MALLOC_PIN( rwork, double, lrwork );
#endif
/* Initialize the matrix */
lapackf77_dlarnv( &ione, ISEED, &n2, h_A );
magma_dmake_symmetric( N, h_A, N );
magma_int_t m1 = 0;
double vl = 0;
double vu = 0;
magma_int_t il = 0;
magma_int_t iu = 0;
if (range == MagmaRangeI) {
il = 1;
iu = (int) (opts.fraction*N);
}
if (opts.warmup) {
// ==================================================================
// Warmup using MAGMA
// ==================================================================
lapackf77_dlacpy( MagmaUpperLowerStr, &N, &N, h_A, &N, h_R, &N );
if (opts.ngpu == 1) {
//printf("calling dsyevdx_2stage 1 GPU\n");
magma_dsyevdx_2stage(opts.jobz, range, opts.uplo, N,
h_R, N,
vl, vu, il, iu,
&m1, w1,
h_work, lwork,
#if defined(PRECISION_z) || defined(PRECISION_c)
rwork, lrwork,
#endif
iwork, liwork,
&info);
} else {
//printf("calling dsyevdx_2stage_m %d GPU\n", (int) opts.ngpu);
magma_dsyevdx_2stage_m(opts.ngpu, opts.jobz, range, opts.uplo, N,
h_R, N,
vl, vu, il, iu,
&m1, w1,
h_work, lwork,
#if defined(PRECISION_z) || defined(PRECISION_c)
rwork, lrwork,
#endif
iwork, liwork,
&info);
}
}
// ===================================================================
// Performs operation using MAGMA
// ===================================================================
lapackf77_dlacpy( MagmaUpperLowerStr, &N, &N, h_A, &N, h_R, &N );
gpu_time = magma_wtime();
if (opts.ngpu == 1) {
//printf("calling dsyevdx_2stage 1 GPU\n");
magma_dsyevdx_2stage(opts.jobz, range, opts.uplo, N,
h_R, N,
vl, vu, il, iu,
&m1, w1,
h_work, lwork,
#if defined(PRECISION_z) || defined(PRECISION_c)
rwork, lrwork,
#endif
iwork, liwork,
&info);
} else {
//printf("calling dsyevdx_2stage_m %d GPU\n", (int) opts.ngpu);
magma_dsyevdx_2stage_m(opts.ngpu, opts.jobz, range, opts.uplo, N,
h_R, N,
vl, vu, il, iu,
&m1, w1,
h_work, lwork,
#if defined(PRECISION_z) || defined(PRECISION_c)
rwork, lrwork,
#endif
iwork, liwork,
&info);
}
gpu_time = magma_wtime() - gpu_time;
printf("%5d %5d %7.2f ",
(int) N, (int) m1, gpu_time );
if ( opts.check ) {
double eps = lapackf77_dlamch("E");
//printf("\n");
//printf("------ TESTS FOR MAGMA DSYEVD ROUTINE ------- \n");
//printf(" Size of the Matrix %d by %d\n", (int) N, (int) N);
//printf("\n");
//printf(" The matrix A is randomly generated for each test.\n");
//printf("============\n");
//printf(" The relative machine precision (eps) is %8.2e\n",eps);
//printf(" Computational tests pass if scaled residuals are less than 60.\n");
/* Check the orthogonality, reduction and the eigen solutions */
if (opts.jobz == MagmaVec) {
info_ortho = check_orthogonality(N, N, h_R, N, eps);
info_reduction = check_reduction(opts.uplo, N, 1, h_A, w1, N, h_R, eps);
}
//printf("------ CALLING LAPACK DSYEVD TO COMPUTE only eigenvalue and verify elementswise ------- \n");
lapackf77_dsyevd("N", "L", &N,
h_A, &N, w2,
h_work, &lwork,
#if defined(PRECISION_z) || defined(PRECISION_c)
rwork, &lrwork,
#endif
iwork, &liwork,
&info);
info_solution = check_solution(N, w2, w1, eps);
if ( (info_solution == 0) && (info_ortho == 0) && (info_reduction == 0) ) {
printf(" ok\n");
//printf("***************************************************\n");
//printf(" ---- TESTING DSYEVD ...................... PASSED !\n");
//printf("***************************************************\n");
}
else {
printf(" failed\n");
status += 1;
//printf("************************************************\n");
//printf(" - TESTING DSYEVD ... FAILED !\n");
//printf("************************************************\n");
}
}
TESTING_FREE_CPU( h_A );
TESTING_FREE_CPU( w1 );
TESTING_FREE_CPU( w2 );
TESTING_FREE_CPU( iwork );
TESTING_FREE_PIN( h_R );
TESTING_FREE_PIN( h_work );
#if defined(PRECISION_z) || defined(PRECISION_c)
TESTING_FREE_PIN( rwork );
#endif
fflush( stdout );
}
if ( opts.niter > 1 ) {
printf( "\n" );
}
}
/* Shutdown */
TESTING_FINALIZE();
return status;
}
int testing_dsygv(int argc, char **argv)
{
/* Check for number of arguments*/
if (argc != 3) {
USAGE("HEGV", "N LDA LDB",
" - N : size of the matrices A and B\n"
" - LDA : leading dimension of the matrix A\n"
" - LDB : leading dimension of the matrix B\n");
return -1;
}
double eps = LAPACKE_dlamch_work('e');
PLASMA_enum vec = PlasmaNoVec;
int N = atoi(argv[0]);
int LDA = atoi(argv[1]);
int LDB = atoi(argv[2]);
int LDQ = LDA;
int LDAxN = LDA*N;
int LDBxN = LDB*N;
int LDQxN = LDQ*N;
int info_ortho = 0;
int info_solution = 0;
int info_reduction = 0;
int i, u;
double *A1 = (double *)malloc(LDAxN*sizeof(double));
double *A2 = (double *)malloc(LDAxN*sizeof(double));
double *B1 = (double *)malloc(LDBxN*sizeof(double));
double *B2 = (double *)malloc(LDBxN*sizeof(double));
double *Q = (double *)malloc(LDQxN*sizeof(double));
double *Ainit = (double *)malloc(LDAxN*sizeof(double));
double *Binit = (double *)malloc(LDBxN*sizeof(double));
double *W1 = (double *)malloc(N*sizeof(double));
double *W2 = (double *)malloc(N*sizeof(double));
double *work = (double *)malloc(3*N* sizeof(double));
PLASMA_desc *T;
/* Check if unable to allocate memory */
if ((!A1)||(!A2)||(!B1)||(!B2)||(!Q)||(!Ainit)||(!Binit)){
printf("Out of Memory \n ");
return -2;
}
/*
PLASMA_Disable(PLASMA_AUTOTUNING);
PLASMA_Set(PLASMA_TILE_SIZE, 120);
PLASMA_Set(PLASMA_INNER_BLOCK_SIZE, 20);
*/
PLASMA_Enable(PLASMA_WARNINGS);
PLASMA_Enable(PLASMA_ERRORS);
PLASMA_Alloc_Workspace_dsygv(N, N, &T);
/*----------------------------------------------------------
* TESTING DSYGV
*/
/* Initialize A1 and Ainit */
PLASMA_dplgsy(0., N, A1, LDA, 5198);
LAPACKE_dlacpy_work(LAPACK_COL_MAJOR, 'A', N, N, A1, LDA, Ainit, LDA);
/* Initialize B1 and Binit */
PLASMA_dplgsy((double)N, N, B1, LDB, 4321 );
LAPACKE_dlacpy_work(LAPACK_COL_MAJOR, 'A', N, N, B1, LDB, Binit, LDB);
printf("\n");
printf("------ TESTS FOR PLASMA DSYGV ROUTINE ------- \n");
printf(" Size of the Matrix %d by %d\n", N, N);
printf("\n");
printf(" The matrix A is randomly generated for each test.\n");
printf("============\n");
printf(" The relative machine precision (eps) is to be %e \n",eps);
printf(" Computational tests pass if scaled residuals are less than 60.\n");
/*----------------------------------------------------------
* TESTING DSYGV
*/
for (i=0; i<3; i++) {
for (u=0; u<2; u++) {
LAPACKE_dlaset_work(LAPACK_COL_MAJOR, 'A', LDA, N, 0., 1., Q, LDA);
memcpy(A2, Ainit, LDAxN*sizeof(double));
memcpy(B2, Binit, LDBxN*sizeof(double));
PLASMA_dsygv(itype[i], vec, uplo[u], N, A2, LDA, B2, LDB, W2, T, Q, LDQ);
/* Check the orthogonality, reduction and the eigen solutions */
if (vec == PlasmaVec)
info_ortho = check_orthogonality(N, N, Q, LDA, eps);
/*
* WARNING: For now, Q is associated to Band tridiagonal reduction and
* not to the final tridiagonal reduction, so we can not call the check
*/
if (0)
info_reduction = check_reduction(itype[i], uplo[u], N, 1, A1, A2, LDA, B2, LDB, Q, eps);
memcpy(A1, Ainit, LDAxN*sizeof(double));
memcpy(B1, Binit, LDBxN*sizeof(double));
LAPACKE_dsygv( LAPACK_COL_MAJOR,
itype[i], lapack_const(vec), lapack_const(uplo[u]),
N, A1, LDA, B1, LDB, W1);
/*info_solution = check_solution(N, N, N, A1, LDA, B1, B2, LDB, eps);*/
info_solution = check_solution(N, W1, W2, eps);
if ( (info_ortho == 0) & (info_reduction == 0) & (info_solution == 0)) {
printf("***************************************************\n");
printf(" ---- TESTING DSYGV (%s, %s) ...................... PASSED !\n", itypestr[i], uplostr[u]);
printf("***************************************************\n");
}
else {
printf("************************************************\n");
printf(" - TESTING DSYGV (%s, %s) ... FAILED !\n", itypestr[i], uplostr[u]);
printf("************************************************\n");
}
}
}
PLASMA_Dealloc_Handle_Tile(&T);
free(A1);
free(A2);
free(B1);
free(B2);
free(Q);
free(Ainit);
free(Binit);
free(W1);
free(W2);
free(work);
return 0;
}
