void time_Trmm(
int param_combo, int type, int nrepeats, int m, int n,
FLA_Obj A, FLA_Obj C, FLA_Obj C_ref,
double *dtime, double *diff, double *gflops )
{
int
irep;
double
dtime_old = 1.0e9;
FLA_Obj
C_old, A_flat, C_flat;
FLASH_Obj_create_conf_to( FLA_NO_TRANSPOSE, C, &C_old );
FLASH_Obj_create_flat_conf_to_hier( FLA_NO_TRANSPOSE, A, &A_flat );
FLASH_Obj_create_flat_conf_to_hier( FLA_NO_TRANSPOSE, C, &C_flat );
FLASH_Copy( C, C_old );
for ( irep = 0 ; irep < nrepeats; irep++ )
{
FLASH_Copy( C_old, C );
FLASH_Obj_flatten( A, A_flat );
FLASH_Obj_flatten( C, C_flat );
*dtime = FLA_Clock();
switch( param_combo ){
// Time parameter combination 0
case 0:{
switch( type ){
case FLA_ALG_REFERENCE:
REF_Trmm( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A_flat, C_flat );
break;
case FLA_ALG_FRONT:
FLASH_Trmm( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A, C );
break;
default:
printf("trouble\n");
}
break;
}
// Time parameter combination 1
case 1:{
switch( type ){
case FLA_ALG_REFERENCE:
REF_Trmm( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A_flat, C_flat );
break;
case FLA_ALG_FRONT:
FLASH_Trmm( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A, C );
break;
default:
printf("trouble\n");
}
break;
}
// Time parameter combination 2
case 2:{
switch( type ){
case FLA_ALG_REFERENCE:
REF_Trmm( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A_flat, C_flat );
break;
case FLA_ALG_FRONT:
FLASH_Trmm( FLA_LEFT, FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A, C );
break;
default:
printf("trouble\n");
}
break;
}
// Time parameter combination 3
case 3:{
switch( type ){
case FLA_ALG_REFERENCE:
REF_Trmm( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A_flat, C_flat );
break;
case FLA_ALG_FRONT:
FLASH_Trmm( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A, C );
break;
default:
printf("trouble\n");
}
break;
}
// Time parameter combination 4
case 4:{
switch( type ){
case FLA_ALG_REFERENCE:
REF_Trmm( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A_flat, C_flat );
break;
case FLA_ALG_FRONT:
FLASH_Trmm( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A, C );
break;
default:
printf("trouble\n");
}
break;
}
// Time parameter combination 5
case 5:{
switch( type ){
case FLA_ALG_REFERENCE:
REF_Trmm( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A_flat, C_flat );
break;
case FLA_ALG_FRONT:
FLASH_Trmm( FLA_LEFT, FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A, C );
break;
default:
printf("trouble\n");
}
break;
}
// Time parameter combination 6
case 6:{
switch( type ){
case FLA_ALG_REFERENCE:
REF_Trmm( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A_flat, C_flat );
break;
case FLA_ALG_FRONT:
FLASH_Trmm( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A, C );
break;
default:
printf("trouble\n");
}
break;
}
// Time parameter combination 7
case 7:{
switch( type ){
case FLA_ALG_REFERENCE:
REF_Trmm( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A_flat, C_flat );
break;
case FLA_ALG_FRONT:
FLASH_Trmm( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A, C );
break;
default:
printf("trouble\n");
}
break;
}
// Time parameter combination 8
case 8:{
switch( type ){
case FLA_ALG_REFERENCE:
REF_Trmm( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A_flat, C_flat );
break;
case FLA_ALG_FRONT:
FLASH_Trmm( FLA_RIGHT, FLA_LOWER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A, C );
break;
default:
printf("trouble\n");
}
break;
}
// Time parameter combination 9
case 9:{
switch( type ){
case FLA_ALG_REFERENCE:
REF_Trmm( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A_flat, C_flat );
break;
case FLA_ALG_FRONT:
FLASH_Trmm( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_CONJ_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A, C );
break;
default:
printf("trouble\n");
}
break;
}
// Time parameter combination 10
case 10:{
switch( type ){
case FLA_ALG_REFERENCE:
REF_Trmm( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A_flat, C_flat );
break;
case FLA_ALG_FRONT:
FLASH_Trmm( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_NO_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A, C );
break;
default:
printf("trouble\n");
}
break;
}
// Time parameter combination 11
case 11:{
switch( type ){
case FLA_ALG_REFERENCE:
REF_Trmm( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A_flat, C_flat );
break;
case FLA_ALG_FRONT:
FLASH_Trmm( FLA_RIGHT, FLA_UPPER_TRIANGULAR, FLA_TRANSPOSE, FLA_NONUNIT_DIAG, FLA_TWO, A, C );
break;
default:
printf("trouble\n");
}
break;
}
}
*dtime = FLA_Clock() - *dtime;
dtime_old = min( *dtime, dtime_old );
}
if ( type == FLA_ALG_REFERENCE )
{
FLASH_Obj_hierarchify( C_flat, C_ref );
*diff = 0.0;
}
else
{
*diff = FLASH_Max_elemwise_diff( C, C_ref );
}
*gflops = 1.0 *
FLASH_Obj_scalar_length( C ) *
FLASH_Obj_scalar_width( C ) *
FLASH_Obj_scalar_width( A ) /
dtime_old /
1.0e9;
if ( param_combo == 0 ||
param_combo == 3 ||
param_combo == 6 ||
param_combo == 9 )
*gflops *= 4.0;
*dtime = dtime_old;
FLASH_Copy( C_old, C );
FLASH_Obj_free( &C_old );
FLASH_Obj_free( &A_flat );
FLASH_Obj_free( &C_flat );
}
void libfla_test_eig_gest_experiment( test_params_t params,
unsigned int var,
char* sc_str,
FLA_Datatype datatype,
unsigned int p_cur,
unsigned int pci,
unsigned int n_repeats,
signed int impl,
double* perf,
double* residual )
{
dim_t b_flash = params.b_flash;
dim_t b_alg_flat = params.b_alg_flat;
double time_min = 1e9;
double time;
unsigned int i;
unsigned int m;
signed int m_input = -1;
FLA_Uplo inv;
FLA_Uplo uplo;
FLA_Obj A, B, Y, norm;
FLA_Obj A_save, B_save;
FLA_Obj A_test, B_test, Y_test;
// Determine the dimensions.
if ( m_input < 0 ) m = p_cur / abs(m_input);
else m = p_cur;
// Translate parameter characters to libflame constants.
FLA_Param_map_char_to_flame_inv( &pc_str[pci][0], &inv );
FLA_Param_map_char_to_flame_uplo( &pc_str[pci][1], &uplo );
if ( inv == FLA_NO_INVERSE &&
( ( impl == FLA_TEST_FLAT_UNB_VAR && var == 3 ) ||
( impl == FLA_TEST_FLAT_OPT_VAR && var == 3 ) ||
( impl == FLA_TEST_FLAT_BLK_VAR && var == 3 ) )
)
{
*perf = 0.0;
*residual = 0.0;
return;
}
// Create the matrices for the current operation.
libfla_test_obj_create( datatype, FLA_NO_TRANSPOSE, sc_str[0], m, m, &A );
libfla_test_obj_create( datatype, FLA_NO_TRANSPOSE, sc_str[1], m, m, &Y );
libfla_test_obj_create( datatype, FLA_NO_TRANSPOSE, sc_str[2], m, m, &B );
// Initialize the test matrices.
FLA_Random_spd_matrix( uplo, A );
FLA_Scalr( uplo, FLA_TWO, A );
FLA_Hermitianize( uplo, A );
FLA_Random_spd_matrix( uplo, B );
FLA_Scalr( uplo, FLA_TWO, B );
FLA_Chol( uplo, B );
// Save the original object contents in a temporary object.
FLA_Obj_create_copy_of( FLA_NO_TRANSPOSE, A, &A_save );
FLA_Obj_create_copy_of( FLA_NO_TRANSPOSE, B, &B_save );
// Create a real scalar object to hold the norm of A.
FLA_Obj_create( FLA_Obj_datatype_proj_to_real( A ), 1, 1, 0, 0, &norm );
// Use hierarchical matrices if we're testing the FLASH front-end.
if ( impl == FLA_TEST_HIER_FRONT_END )
{
FLASH_Obj_create_hier_copy_of_flat( A, 1, &b_flash, &A_test );
FLASH_Obj_create_hier_copy_of_flat( Y, 1, &b_flash, &Y_test );
FLASH_Obj_create_hier_copy_of_flat( B, 1, &b_flash, &B_test );
}
else
{
A_test = A;
Y_test = Y;
B_test = B;
}
// Create a control tree for the individual variants.
if ( impl == FLA_TEST_FLAT_UNB_VAR ||
impl == FLA_TEST_FLAT_OPT_VAR ||
impl == FLA_TEST_FLAT_BLK_VAR )
libfla_test_eig_gest_cntl_create( var, b_alg_flat );
// Repeat the experiment n_repeats times and record results.
for ( i = 0; i < n_repeats; ++i )
{
if ( impl == FLA_TEST_HIER_FRONT_END )
{
FLASH_Obj_hierarchify( A_save, A_test );
FLASH_Obj_hierarchify( B_save, B_test );
}
else
{
FLA_Copy_external( A_save, A_test );
FLA_Copy_external( B_save, B_test );
}
time = FLA_Clock();
libfla_test_eig_gest_impl( impl, inv, uplo, A_test, Y_test, B_test );
time = FLA_Clock() - time;
time_min = min( time_min, time );
}
// Check our solution.
if ( impl == FLA_TEST_HIER_FRONT_END )
{
FLA_Trans trans_left, trans_right;
FLASH_Hermitianize( uplo, A_test );
if ( ( inv == FLA_NO_INVERSE && uplo == FLA_LOWER_TRIANGULAR ) ||
( inv == FLA_INVERSE && uplo == FLA_UPPER_TRIANGULAR ) )
{
trans_left = FLA_CONJ_TRANSPOSE;
trans_right = FLA_NO_TRANSPOSE;
}
else
{
trans_left = FLA_NO_TRANSPOSE;
trans_right = FLA_CONJ_TRANSPOSE;
}
if ( inv == FLA_NO_INVERSE )
{
FLASH_Trsm( FLA_LEFT, uplo, trans_left, FLA_NONUNIT_DIAG,
FLA_ONE, B_test, A_test );
FLASH_Trsm( FLA_RIGHT, uplo, trans_right, FLA_NONUNIT_DIAG,
FLA_ONE, B_test, A_test );
}
else // if ( inv == FLA_INVERSE )
{
FLASH_Trmm( FLA_LEFT, uplo, trans_left, FLA_NONUNIT_DIAG,
FLA_ONE, B_test, A_test );
FLASH_Trmm( FLA_RIGHT, uplo, trans_right, FLA_NONUNIT_DIAG,
FLA_ONE, B_test, A_test );
}
FLASH_Obj_flatten( A_test, A );
}
else
{
FLA_Trans trans_left, trans_right;
FLA_Hermitianize( uplo, A_test );
if ( ( inv == FLA_NO_INVERSE && uplo == FLA_LOWER_TRIANGULAR ) ||
( inv == FLA_INVERSE && uplo == FLA_UPPER_TRIANGULAR ) )
{
trans_left = FLA_CONJ_TRANSPOSE;
trans_right = FLA_NO_TRANSPOSE;
}
else
{
trans_left = FLA_NO_TRANSPOSE;
trans_right = FLA_CONJ_TRANSPOSE;
}
if ( inv == FLA_NO_INVERSE )
{
FLA_Trsm( FLA_LEFT, uplo, trans_left, FLA_NONUNIT_DIAG,
FLA_ONE, B_test, A_test );
FLA_Trsm( FLA_RIGHT, uplo, trans_right, FLA_NONUNIT_DIAG,
FLA_ONE, B_test, A_test );
}
else // if ( inv == FLA_INVERSE )
{
FLA_Trmm( FLA_LEFT, uplo, trans_left, FLA_NONUNIT_DIAG,
FLA_ONE, B_test, A_test );
FLA_Trmm( FLA_RIGHT, uplo, trans_right, FLA_NONUNIT_DIAG,
FLA_ONE, B_test, A_test );
}
}
// Free the hierarchical matrices if we're testing the FLASH front-end.
if ( impl == FLA_TEST_HIER_FRONT_END )
{
FLASH_Obj_free( &A_test );
FLASH_Obj_free( &Y_test );
FLASH_Obj_free( &B_test );
}
// Free the control trees if we're testing the variants.
if ( impl == FLA_TEST_FLAT_UNB_VAR ||
impl == FLA_TEST_FLAT_OPT_VAR ||
impl == FLA_TEST_FLAT_BLK_VAR )
libfla_test_eig_gest_cntl_free();
// Compute the performance of the best experiment repeat.
*perf = 1.0 * m * m * m / time_min / FLOPS_PER_UNIT_PERF;
if ( FLA_Obj_is_complex( A ) ) *perf *= 4.0;
// Compute the residual.
FLA_Axpy_external( FLA_MINUS_ONE, A_save, A );
FLA_Norm1( A, norm );
FLA_Obj_extract_real_scalar( norm, residual );
// Free the supporting flat objects.
FLA_Obj_free( &norm );
FLA_Obj_free( &A_save );
FLA_Obj_free( &B_save );
// Free the flat test matrices.
FLA_Obj_free( &A );
FLA_Obj_free( &Y );
FLA_Obj_free( &B );
}
