void libblis_test_gemmtrsm_ukr_check( side_t side,
obj_t* alpha,
obj_t* a1x,
obj_t* a11,
obj_t* bx1,
obj_t* b11,
obj_t* c11,
obj_t* c11_orig,
double* resid )
{
num_t dt = bli_obj_datatype( *b11 );
num_t dt_real = bli_obj_datatype_proj_to_real( *b11 );
dim_t m = bli_obj_length( *b11 );
dim_t n = bli_obj_width( *b11 );
dim_t k = bli_obj_width( *a1x );
obj_t kappa, norm;
obj_t t, v, w, z;
double junk;
//
// Pre-conditions:
// - a1x, a11, bx1, c11_orig are randomized; a11 is triangular.
// - contents of b11 == contents of c11.
// - side == BLIS_LEFT.
//
// Under these conditions, we assume that the implementation for
//
// B := inv(A11) * ( alpha * B11 - A1x * Bx1 ) (side = left)
//
// is functioning correctly if
//
// fnorm( v - z )
//
// is negligible, where
//
// v = B11 * t
//
// z = ( inv(A11) * ( alpha * B11_orig - A1x * Bx1 ) ) * t
// = inv(A11) * ( alpha * B11_orig * t - A1x * Bx1 * t )
// = inv(A11) * ( alpha * B11_orig * t - A1x * w )
//
bli_obj_scalar_init_detached( dt, &kappa );
bli_obj_scalar_init_detached( dt_real, &norm );
if ( bli_is_left( side ) )
{
bli_obj_create( dt, n, 1, 0, 0, &t );
bli_obj_create( dt, m, 1, 0, 0, &v );
bli_obj_create( dt, k, 1, 0, 0, &w );
bli_obj_create( dt, m, 1, 0, 0, &z );
}
else // else if ( bli_is_left( side ) )
{
// BLIS does not currently support right-side micro-kernels.
bli_check_error_code( BLIS_NOT_YET_IMPLEMENTED );
}
bli_randv( &t );
bli_setsc( 1.0/( double )n, 0.0, &kappa );
bli_scalv( &kappa, &t );
bli_gemv( &BLIS_ONE, b11, &t, &BLIS_ZERO, &v );
// Restore the diagonal of a11 to its original, un-inverted state
// (needed for trsv).
bli_invertd( a11 );
if ( bli_is_left( side ) )
{
bli_gemv( &BLIS_ONE, bx1, &t, &BLIS_ZERO, &w );
bli_gemv( alpha, c11_orig, &t, &BLIS_ZERO, &z );
bli_gemv( &BLIS_MINUS_ONE, a1x, &w, &BLIS_ONE, &z );
bli_trsv( &BLIS_ONE, a11, &z );
}
else // else if ( bli_is_left( side ) )
{
// BLIS does not currently support right-side micro-kernels.
bli_check_error_code( BLIS_NOT_YET_IMPLEMENTED );
}
bli_subv( &z, &v );
bli_fnormv( &v, &norm );
bli_getsc( &norm, resid, &junk );
bli_obj_free( &t );
bli_obj_free( &v );
bli_obj_free( &w );
bli_obj_free( &z );
}
int main( int argc, char** argv )
{
obj_t a, b, c;
obj_t c_save;
obj_t alpha, beta;
dim_t m, n;
dim_t p;
dim_t p_begin, p_end, p_inc;
int m_input, n_input;
num_t dt_a, dt_b, dt_c;
num_t dt_alpha, dt_beta;
int r, n_repeats;
side_t side;
uplo_t uplo;
double dtime;
double dtime_save;
double gflops;
bli_init();
n_repeats = 3;
if( argc < 7 )
{
printf("Usage:\n");
printf("test_foo.x m n k p_begin p_inc p_end:\n");
exit;
}
int world_size, world_rank, provided;
MPI_Init_thread( NULL, NULL, MPI_THREAD_FUNNELED, &provided );
MPI_Comm_size( MPI_COMM_WORLD, &world_size );
MPI_Comm_rank( MPI_COMM_WORLD, &world_rank );
m_input = strtol( argv[1], NULL, 10 );
n_input = strtol( argv[2], NULL, 10 );
p_begin = strtol( argv[4], NULL, 10 );
p_inc = strtol( argv[5], NULL, 10 );
p_end = strtol( argv[6], NULL, 10 );
#if 1
dt_a = BLIS_DOUBLE;
dt_b = BLIS_DOUBLE;
dt_c = BLIS_DOUBLE;
dt_alpha = BLIS_DOUBLE;
dt_beta = BLIS_DOUBLE;
#else
dt_a = dt_b = dt_c = dt_alpha = dt_beta = BLIS_FLOAT;
//dt_a = dt_b = dt_c = dt_alpha = dt_beta = BLIS_SCOMPLEX;
#endif
side = BLIS_LEFT;
//side = BLIS_RIGHT;
uplo = BLIS_LOWER;
//uplo = BLIS_UPPER;
for ( p = p_begin + world_rank * p_inc; p <= p_end; p += p_inc * world_size )
{
if ( m_input < 0 ) m = p * ( dim_t )abs(m_input);
else m = ( dim_t ) m_input;
if ( n_input < 0 ) n = p * ( dim_t )abs(n_input);
else n = ( dim_t ) n_input;
bli_obj_create( dt_alpha, 1, 1, 0, 0, &alpha );
bli_obj_create( dt_beta, 1, 1, 0, 0, &beta );
if ( bli_is_left( side ) )
bli_obj_create( dt_a, m, m, 0, 0, &a );
else
bli_obj_create( dt_a, n, n, 0, 0, &a );
bli_obj_create( dt_b, m, n, 0, 0, &b );
bli_obj_create( dt_c, m, n, 0, 0, &c );
bli_obj_create( dt_c, m, n, 0, 0, &c_save );
bli_obj_set_struc( BLIS_TRIANGULAR, &a );
bli_obj_set_uplo( uplo, &a );
//bli_obj_set_diag( BLIS_UNIT_DIAG, &a );
bli_randm( &a );
bli_randm( &c );
bli_randm( &b );
/*
{
obj_t a2;
bli_obj_alias_to( &a, &a2 );
bli_obj_toggle_uplo( &a2 );
bli_obj_inc_diag_offset( 1, &a2 );
bli_setm( &BLIS_ZERO, &a2 );
bli_obj_inc_diag_offset( -2, &a2 );
bli_obj_toggle_uplo( &a2 );
bli_obj_set_diag( BLIS_NONUNIT_DIAG, &a2 );
bli_scalm( &BLIS_TWO, &a2 );
//bli_scalm( &BLIS_TWO, &a );
}
*/
bli_setsc( (2.0/1.0), 0.0, &alpha );
bli_setsc( (1.0/1.0), 0.0, &beta );
bli_copym( &c, &c_save );
dtime_save = 1.0e9;
for ( r = 0; r < n_repeats; ++r )
{
bli_copym( &c_save, &c );
dtime = bli_clock();
#ifdef PRINT
/*
obj_t ar, ai;
bli_obj_alias_to( &a, &ar );
bli_obj_alias_to( &a, &ai );
bli_obj_set_dt( BLIS_DOUBLE, &ar ); ar.rs *= 2; ar.cs *= 2;
bli_obj_set_dt( BLIS_DOUBLE, &ai ); ai.rs *= 2; ai.cs *= 2; ai.buffer = ( double* )ai.buffer + 1;
bli_printm( "ar", &ar, "%4.1f", "" );
bli_printm( "ai", &ai, "%4.1f", "" );
*/
bli_invertd( &a );
bli_printm( "a", &a, "%4.1f", "" );
bli_invertd( &a );
bli_printm( "c", &c, "%4.1f", "" );
#endif
#ifdef BLIS
//bli_error_checking_level_set( BLIS_NO_ERROR_CHECKING );
bli_trsm( side,
//bli_trsm4m( side,
//bli_trsm3m( side,
&alpha,
&a,
&c );
#else
if ( bli_is_real( dt_a ) )
{
f77_char side = 'L';
f77_char uplo = 'L';
f77_char transa = 'N';
f77_char diag = 'N';
f77_int mm = bli_obj_length( &c );
f77_int nn = bli_obj_width( &c );
f77_int lda = bli_obj_col_stride( &a );
f77_int ldc = bli_obj_col_stride( &c );
float * alphap = bli_obj_buffer( &alpha );
float * ap = bli_obj_buffer( &a );
float * cp = bli_obj_buffer( &c );
strsm_( &side,
&uplo,
&transa,
&diag,
&mm,
&nn,
alphap,
ap, &lda,
cp, &ldc );
}
else // if ( bli_is_complex( dt_a ) )
{
f77_char side = 'L';
f77_char uplo = 'L';
f77_char transa = 'N';
f77_char diag = 'N';
f77_int mm = bli_obj_length( &c );
f77_int nn = bli_obj_width( &c );
f77_int lda = bli_obj_col_stride( &a );
f77_int ldc = bli_obj_col_stride( &c );
scomplex* alphap = bli_obj_buffer( &alpha );
scomplex* ap = bli_obj_buffer( &a );
scomplex* cp = bli_obj_buffer( &c );
ctrsm_( &side,
//ztrsm_( &side,
&uplo,
&transa,
&diag,
&mm,
&nn,
alphap,
ap, &lda,
cp, &ldc );
}
#endif
#ifdef PRINT
bli_printm( "c after", &c, "%4.1f", "" );
exit(1);
#endif
dtime_save = bli_clock_min_diff( dtime_save, dtime );
}
if ( bli_is_left( side ) )
gflops = ( 1.0 * m * m * n ) / ( dtime_save * 1.0e9 );
else
gflops = ( 1.0 * m * n * n ) / ( dtime_save * 1.0e9 );
if ( bli_is_complex( dt_a ) ) gflops *= 4.0;
#ifdef BLIS
printf( "data_trsm_blis" );
#else
printf( "data_trsm_%s", BLAS );
#endif
printf( "( %2lu, 1:4 ) = [ %4lu %4lu %10.3e %6.3f ];\n",
( unsigned long )(p - p_begin + 1)/p_inc + 1,
( unsigned long )m,
( unsigned long )n, dtime_save, gflops );
bli_obj_free( &alpha );
bli_obj_free( &beta );
bli_obj_free( &a );
bli_obj_free( &b );
bli_obj_free( &c );
bli_obj_free( &c_save );
}
bli_finalize();
return 0;
}
int main( int argc, char** argv )
{
obj_t a, c;
obj_t c_save;
obj_t alpha;
dim_t m, n;
dim_t p;
dim_t p_begin, p_end, p_inc;
int m_input, n_input;
num_t dt;
int r, n_repeats;
side_t side;
uplo_t uploa;
trans_t transa;
diag_t diaga;
f77_char f77_side;
f77_char f77_uploa;
f77_char f77_transa;
f77_char f77_diaga;
double dtime;
double dtime_save;
double gflops;
//bli_init();
//bli_error_checking_level_set( BLIS_NO_ERROR_CHECKING );
n_repeats = 3;
#ifndef PRINT
p_begin = 200;
p_end = 2000;
p_inc = 200;
m_input = -1;
n_input = -1;
#else
p_begin = 16;
p_end = 16;
p_inc = 1;
m_input = 4;
n_input = 4;
#endif
#if 1
//dt = BLIS_FLOAT;
dt = BLIS_DOUBLE;
#else
//dt = BLIS_SCOMPLEX;
dt = BLIS_DCOMPLEX;
#endif
side = BLIS_LEFT;
//side = BLIS_RIGHT;
uploa = BLIS_LOWER;
//uploa = BLIS_UPPER;
transa = BLIS_NO_TRANSPOSE;
diaga = BLIS_NONUNIT_DIAG;
bli_param_map_blis_to_netlib_side( side, &f77_side );
bli_param_map_blis_to_netlib_uplo( uploa, &f77_uploa );
bli_param_map_blis_to_netlib_trans( transa, &f77_transa );
bli_param_map_blis_to_netlib_diag( diaga, &f77_diaga );
for ( p = p_begin; p <= p_end; p += p_inc )
{
if ( m_input < 0 ) m = p * ( dim_t )abs(m_input);
else m = ( dim_t ) m_input;
if ( n_input < 0 ) n = p * ( dim_t )abs(n_input);
else n = ( dim_t ) n_input;
bli_obj_create( dt, 1, 1, 0, 0, &alpha );
if ( bli_is_left( side ) )
bli_obj_create( dt, m, m, 0, 0, &a );
else
bli_obj_create( dt, n, n, 0, 0, &a );
bli_obj_create( dt, m, n, 0, 0, &c );
bli_obj_create( dt, m, n, 0, 0, &c_save );
bli_randm( &a );
bli_randm( &c );
bli_obj_set_struc( BLIS_TRIANGULAR, &a );
bli_obj_set_uplo( uploa, &a );
bli_obj_set_conjtrans( transa, &a );
bli_obj_set_diag( diaga, &a );
// Randomize A, make it densely Hermitian, and zero the unstored
// triangle to ensure the implementation reads only from the stored
// region.
bli_randm( &a );
bli_mkherm( &a );
bli_mktrim( &a );
bli_setsc( (2.0/1.0), 1.0, &alpha );
bli_copym( &c, &c_save );
dtime_save = DBL_MAX;
for ( r = 0; r < n_repeats; ++r )
{
bli_copym( &c_save, &c );
dtime = bli_clock();
#ifdef PRINT
bli_invertd( &a );
bli_printm( "a", &a, "%4.1f", "" );
bli_invertd( &a );
bli_printm( "c", &c, "%4.1f", "" );
#endif
#ifdef BLIS
bli_trsm( side,
&alpha,
&a,
&c );
#else
if ( bli_is_float( dt ) )
{
f77_int mm = bli_obj_length( &c );
f77_int nn = bli_obj_width( &c );
f77_int lda = bli_obj_col_stride( &a );
f77_int ldc = bli_obj_col_stride( &c );
float* alphap = bli_obj_buffer( &alpha );
float* ap = bli_obj_buffer( &a );
float* cp = bli_obj_buffer( &c );
strsm_( &f77_side,
&f77_uploa,
&f77_transa,
&f77_diaga,
&mm,
&nn,
alphap,
ap, &lda,
cp, &ldc );
}
else if ( bli_is_double( dt ) )
{
f77_int mm = bli_obj_length( &c );
f77_int nn = bli_obj_width( &c );
f77_int lda = bli_obj_col_stride( &a );
f77_int ldc = bli_obj_col_stride( &c );
double* alphap = bli_obj_buffer( &alpha );
double* ap = bli_obj_buffer( &a );
double* cp = bli_obj_buffer( &c );
dtrsm_( &f77_side,
&f77_uploa,
&f77_transa,
&f77_diaga,
&mm,
&nn,
alphap,
ap, &lda,
cp, &ldc );
}
else if ( bli_is_scomplex( dt ) )
{
f77_int mm = bli_obj_length( &c );
f77_int nn = bli_obj_width( &c );
f77_int lda = bli_obj_col_stride( &a );
f77_int ldc = bli_obj_col_stride( &c );
scomplex* alphap = bli_obj_buffer( &alpha );
scomplex* ap = bli_obj_buffer( &a );
scomplex* cp = bli_obj_buffer( &c );
ctrsm_( &f77_side,
&f77_uploa,
&f77_transa,
&f77_diaga,
&mm,
&nn,
alphap,
ap, &lda,
cp, &ldc );
}
else if ( bli_is_dcomplex( dt ) )
{
f77_int mm = bli_obj_length( &c );
f77_int nn = bli_obj_width( &c );
f77_int lda = bli_obj_col_stride( &a );
f77_int ldc = bli_obj_col_stride( &c );
dcomplex* alphap = bli_obj_buffer( &alpha );
dcomplex* ap = bli_obj_buffer( &a );
dcomplex* cp = bli_obj_buffer( &c );
ztrsm_( &f77_side,
&f77_uploa,
&f77_transa,
&f77_diaga,
&mm,
&nn,
alphap,
ap, &lda,
cp, &ldc );
}
#endif
#ifdef PRINT
bli_printm( "c after", &c, "%9.5f", "" );
exit(1);
#endif
dtime_save = bli_clock_min_diff( dtime_save, dtime );
}
if ( bli_is_left( side ) )
gflops = ( 1.0 * m * m * n ) / ( dtime_save * 1.0e9 );
else
gflops = ( 1.0 * m * n * n ) / ( dtime_save * 1.0e9 );
if ( bli_is_complex( dt ) ) gflops *= 4.0;
#ifdef BLIS
printf( "data_trsm_blis" );
#else
printf( "data_trsm_%s", BLAS );
#endif
printf( "( %2lu, 1:4 ) = [ %4lu %4lu %10.3e %6.3f ];\n",
( unsigned long )(p - p_begin + 1)/p_inc + 1,
( unsigned long )m,
( unsigned long )n, dtime_save, gflops );
bli_obj_free( &alpha );
bli_obj_free( &a );
bli_obj_free( &c );
bli_obj_free( &c_save );
}
//bli_finalize();
return 0;
}