void libblis_test_hemv_check( obj_t* alpha,
obj_t* a,
obj_t* x,
obj_t* beta,
obj_t* y,
obj_t* y_orig,
double* resid )
{
num_t dt = bli_obj_datatype( *y );
num_t dt_real = bli_obj_datatype_proj_to_real( *y );
dim_t m = bli_obj_vector_dim( *y );
obj_t v;
obj_t norm;
double junk;
//
// Pre-conditions:
// - a is randomized and Hermitian.
// - x is randomized.
// - y_orig is randomized.
// Note:
// - alpha and beta should have non-zero imaginary components in the
// complex cases in order to more fully exercise the implementation.
//
// Under these conditions, we assume that the implementation for
//
// y := beta * y_orig + alpha * conja(A) * conjx(x)
//
// is functioning correctly if
//
// normf( y - v )
//
// is negligible, where
//
// v = beta * y_orig + alpha * conja(A_dense) * x
//
bli_obj_scalar_init_detached( dt_real, &norm );
bli_obj_create( dt, m, 1, 0, 0, &v );
bli_copyv( y_orig, &v );
bli_mkherm( a );
bli_obj_set_struc( BLIS_GENERAL, *a );
bli_obj_set_uplo( BLIS_DENSE, *a );
bli_gemv( alpha, a, x, beta, &v );
bli_subv( &v, y );
bli_normfv( y, &norm );
bli_getsc( &norm, resid, &junk );
bli_obj_free( &v );
}
void bli_gemmtrsm_ukr_make_subparts( dim_t k,
obj_t* a,
obj_t* b,
obj_t* a1x,
obj_t* a11,
obj_t* bx1,
obj_t* b11 )
{
dim_t mr = bli_obj_length( *a );
dim_t nr = bli_obj_width( *b );
dim_t off_a1x, off_a11;
dim_t off_bx1, off_b11;
if ( bli_obj_is_lower( *a ) )
{
off_a1x = 0;
off_a11 = k;
off_bx1 = 0;
off_b11 = k;
}
else
{
off_a1x = mr;
off_a11 = 0;
off_bx1 = mr;
off_b11 = 0;
}
bli_obj_init_subpart_from( *a, *a1x );
bli_obj_set_dims( mr, k, *a1x );
bli_obj_inc_offs( 0, off_a1x, *a1x );
bli_obj_init_subpart_from( *a, *a11 );
bli_obj_set_dims( mr, mr, *a11 );
bli_obj_inc_offs( 0, off_a11, *a11 );
bli_obj_init_subpart_from( *b, *bx1 );
bli_obj_set_dims( k, nr, *bx1 );
bli_obj_inc_offs( off_bx1, 0, *bx1 );
bli_obj_init_subpart_from( *b, *b11 );
bli_obj_set_dims( mr, nr, *b11 );
bli_obj_inc_offs( off_b11, 0, *b11 );
// Mark a1x as having general structure (which overwrites the triangular
// property it inherited from a).
bli_obj_set_struc( BLIS_GENERAL, *a1x );
// Set the diagonal offset of a11 to 0 (which overwrites the diagonal
// offset value it inherited from a).
bli_obj_set_diag_offset( 0, *a11 );
}
void libblis_test_gemmtrsm_ukr_experiment( test_params_t* params,
test_op_t* op,
mt_impl_t impl,
num_t datatype,
char* pc_str,
char* sc_str,
unsigned int p_cur,
double* perf,
double* resid )
{
unsigned int n_repeats = params->n_repeats;
unsigned int i;
double time_min = 1e9;
double time;
dim_t m, n, k;
char sc_a = 'c';
char sc_b = 'r';
side_t side = BLIS_LEFT;
uplo_t uploa;
obj_t kappa;
obj_t alpha;
obj_t a_big, a, b;
obj_t b11, c11;
obj_t ap, bp;
obj_t a1xp, a11p, bx1p, b11p;
obj_t c11_save;
// Map the dimension specifier to actual dimensions.
k = libblis_test_get_dim_from_prob_size( op->dim_spec[0], p_cur );
// Fix m and n to MR and NR, respectively.
m = bli_blksz_for_type( datatype, gemm_mr );
n = bli_blksz_for_type( datatype, gemm_nr );
// Store the register blocksizes so that the driver can retrieve the
// values later when printing results.
op->dim_aux[0] = m;
op->dim_aux[1] = n;
// Map parameter characters to BLIS constants.
bli_param_map_char_to_blis_uplo( pc_str[0], &uploa );
// Create test scalars.
bli_obj_scalar_init_detached( datatype, &kappa );
bli_obj_scalar_init_detached( datatype, &alpha );
// Create test operands (vectors and/or matrices).
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_a, k+m, k+m, &a_big );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_b, k+m, n, &b );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[0], m, n, &c11 );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[0], m, n, &c11_save );
// Set alpha.
if ( bli_obj_is_real( b ) )
{
bli_setsc( 2.0, 0.0, &alpha );
}
else
{
bli_setsc( 2.0, 0.0, &alpha );
}
// Set the structure, uplo, and diagonal offset properties of A.
bli_obj_set_struc( BLIS_TRIANGULAR, a_big );
bli_obj_set_uplo( uploa, a_big );
// Randomize A and make it densely triangular.
bli_randm( &a_big );
// Normalize B and save.
bli_randm( &b );
bli_setsc( 1.0/( double )m, 0.0, &kappa );
bli_scalm( &kappa, &b );
// Use the last m rows of A_big as A.
bli_acquire_mpart_t2b( BLIS_SUBPART1, k, m, &a_big, &a );
// Locate the B11 block of B, copy to C11, and save.
if ( bli_obj_is_lower( a ) )
bli_acquire_mpart_t2b( BLIS_SUBPART1, k, m, &b, &b11 );
else
bli_acquire_mpart_t2b( BLIS_SUBPART1, 0, m, &b, &b11 );
bli_copym( &b11, &c11 );
bli_copym( &c11, &c11_save );
// Initialize pack objects.
bli_obj_init_pack( &ap );
bli_obj_init_pack( &bp );
// Create pack objects for a and b.
libblis_test_pobj_create( gemm_mr,
gemm_mr,
BLIS_INVERT_DIAG,
BLIS_PACKED_ROW_PANELS,
BLIS_BUFFER_FOR_A_BLOCK,
&a, &ap );
libblis_test_pobj_create( gemm_mr,
gemm_nr,
BLIS_NO_INVERT_DIAG,
BLIS_PACKED_COL_PANELS,
BLIS_BUFFER_FOR_B_PANEL,
&b, &bp );
// Pack the contents of a to ap.
bli_packm_blk_var3( &a, &ap );
// Pack the contents of b to bp.
bli_packm_blk_var2( &b, &bp );
// Create subpartitions from the a and b panels.
bli_gemmtrsm_ukr_make_subparts( k, &ap, &bp,
&a1xp, &a11p, &bx1p, &b11p );
// Repeat the experiment n_repeats times and record results.
for ( i = 0; i < n_repeats; ++i )
{
bli_copym( &c11_save, &c11 );
// Re-pack the contents of b to bp.
bli_packm_blk_var2( &b, &bp );
time = bli_clock();
libblis_test_gemmtrsm_ukr_impl( impl, side, &alpha,
&a1xp, &a11p, &bx1p, &b11p, &c11 );
time_min = bli_clock_min_diff( time_min, time );
}
// Estimate the performance of the best experiment repeat.
*perf = ( 2.0 * m * n * k + 1.0 * m * m * n ) / time_min / FLOPS_PER_UNIT_PERF;
if ( bli_obj_is_complex( b ) ) *perf *= 4.0;
// Perform checks.
libblis_test_gemmtrsm_ukr_check( side, &alpha,
&a1xp, &a11p, &bx1p, &b11p, &c11, &c11_save, resid );
// Zero out performance and residual if output matrix is empty.
//libblis_test_check_empty_problem( &c11, perf, resid );
// Release packing buffers within pack objects.
bli_obj_release_pack( &ap );
bli_obj_release_pack( &bp );
// Free the test objects.
bli_obj_free( &a_big );
bli_obj_free( &b );
bli_obj_free( &c11 );
bli_obj_free( &c11_save );
}
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;
#ifndef PRINT
p_begin = 40;
p_end = 2000;
p_inc = 40;
m_input = -1;
n_input = -1;
#else
p_begin = 16;
p_end = 16;
p_inc = 1;
m_input = 8;
n_input = 4;
#endif
dt_a = BLIS_DOUBLE;
dt_b = BLIS_DOUBLE;
dt_c = BLIS_DOUBLE;
dt_alpha = BLIS_DOUBLE;
dt_beta = BLIS_DOUBLE;
side = BLIS_LEFT;
//side = BLIS_RIGHT;
uplo = BLIS_LOWER;
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_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_randm( &a );
bli_randm( &c );
bli_randm( &b );
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
bli_printm( "a", &a, "%11.8f", "" );
bli_printm( "c", &c, "%14.11f", "" );
#endif
#ifdef BLIS
//bli_error_checking_level_set( BLIS_NO_ERROR_CHECKING );
bli_trmm( side,
&alpha,
&a,
&c );
#else
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 );
double* alphap = bli_obj_buffer( alpha );
double* ap = bli_obj_buffer( a );
double* cp = bli_obj_buffer( c );
dtrmm_( &side,
&uplo,
&transa,
&diag,
&mm,
&nn,
alphap,
ap, &lda,
cp, &ldc );
#endif
#ifdef PRINT
bli_printm( "c after", &c, "%14.11f", "" );
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 );
#ifdef BLIS
printf( "data_trmm_blis" );
#else
printf( "data_trmm_%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_max, p_inc;
int m_input, n_input;
ind_t ind;
num_t dt;
char dt_ch;
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;
dt = DT;
ind = IND;
p_begin = P_BEGIN;
p_max = P_MAX;
p_inc = P_INC;
m_input = -1;
n_input = -1;
// Supress compiler warnings about unused variable 'ind'.
( void )ind;
#if 0
cntx_t* cntx;
ind_t ind_mod = ind;
// A hack to use 3m1 as 1mpb (with 1m as 1mbp).
if ( ind == BLIS_3M1 ) ind_mod = BLIS_1M;
// Initialize a context for the current induced method and datatype.
cntx = bli_gks_query_ind_cntx( ind_mod, dt );
// Set k to the kc blocksize for the current datatype.
k_input = bli_cntx_get_blksz_def_dt( dt, BLIS_KC, cntx );
#elif 1
//k_input = 256;
#endif
// Choose the char corresponding to the requested datatype.
if ( bli_is_float( dt ) ) dt_ch = 's';
else if ( bli_is_double( dt ) ) dt_ch = 'd';
else if ( bli_is_scomplex( dt ) ) dt_ch = 'c';
else dt_ch = 'z';
#if 0
side = BLIS_LEFT;
#else
side = BLIS_RIGHT;
#endif
#if 0
uploa = BLIS_LOWER;
#else
uploa = BLIS_UPPER;
#endif
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 );
// Begin with initializing the last entry to zero so that
// matlab allocates space for the entire array once up-front.
for ( p = p_begin; p + p_inc <= p_max; p += p_inc ) ;
printf( "data_%s_%ctrsm_%s", THR_STR, dt_ch, STR );
printf( "( %2lu, 1:3 ) = [ %4lu %4lu %7.2f ];\n",
( unsigned long )(p - p_begin + 1)/p_inc + 1,
( unsigned long )0,
( unsigned long )0, 0.0 );
for ( p = p_begin; p <= p_max; 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, n, 1, &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 );
bli_randm( &a );
bli_mktrim( &a );
// Load the diagonal of A to make it more likely to be invertible.
bli_shiftd( &BLIS_TWO, &a );
bli_setsc( (2.0/1.0), 0.0, &alpha );
bli_copym( &c, &c_save );
#if 0 //def BLIS
bli_ind_disable_all_dt( dt );
bli_ind_enable_dt( ind, dt );
#endif
dtime_save = DBL_MAX;
for ( r = 0; r < n_repeats; ++r )
{
bli_copym( &c_save, &c );
dtime = bli_clock();
#ifdef PRINT
bli_printm( "a", &a, "%4.1f", "" );
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 kk = bli_obj_width( &c );
f77_int lda = bli_obj_col_stride( &a );
f77_int ldc = bli_obj_col_stride( &c );
float* alphap = ( float* )bli_obj_buffer( &alpha );
float* ap = ( float* )bli_obj_buffer( &a );
float* cp = ( float* )bli_obj_buffer( &c );
strsm_( &f77_side,
&f77_uploa,
&f77_transa,
&f77_diaga,
&mm,
&kk,
alphap,
ap, &lda,
cp, &ldc );
}
else if ( bli_is_double( dt ) )
{
f77_int mm = bli_obj_length( &c );
f77_int kk = bli_obj_width( &c );
f77_int lda = bli_obj_col_stride( &a );
f77_int ldc = bli_obj_col_stride( &c );
double* alphap = ( double* )bli_obj_buffer( &alpha );
double* ap = ( double* )bli_obj_buffer( &a );
double* cp = ( double* )bli_obj_buffer( &c );
dtrsm_( &f77_side,
&f77_uploa,
&f77_transa,
&f77_diaga,
&mm,
&kk,
alphap,
ap, &lda,
cp, &ldc );
}
else if ( bli_is_scomplex( dt ) )
{
f77_int mm = bli_obj_length( &c );
f77_int kk = bli_obj_width( &c );
f77_int lda = bli_obj_col_stride( &a );
f77_int ldc = bli_obj_col_stride( &c );
#ifdef EIGEN
float* alphap = ( float* )bli_obj_buffer( &alpha );
float* ap = ( float* )bli_obj_buffer( &a );
float* cp = ( float* )bli_obj_buffer( &c );
#else
scomplex* alphap = ( scomplex* )bli_obj_buffer( &alpha );
scomplex* ap = ( scomplex* )bli_obj_buffer( &a );
scomplex* cp = ( scomplex* )bli_obj_buffer( &c );
#endif
ctrsm_( &f77_side,
&f77_uploa,
&f77_transa,
&f77_diaga,
&mm,
&kk,
alphap,
ap, &lda,
cp, &ldc );
}
else if ( bli_is_dcomplex( dt ) )
{
f77_int mm = bli_obj_length( &c );
f77_int kk = bli_obj_width( &c );
f77_int lda = bli_obj_col_stride( &a );
f77_int ldc = bli_obj_col_stride( &c );
#ifdef EIGEN
double* alphap = ( double* )bli_obj_buffer( &alpha );
double* ap = ( double* )bli_obj_buffer( &a );
double* cp = ( double* )bli_obj_buffer( &c );
#else
dcomplex* alphap = ( dcomplex* )bli_obj_buffer( &alpha );
dcomplex* ap = ( dcomplex* )bli_obj_buffer( &a );
dcomplex* cp = ( dcomplex* )bli_obj_buffer( &c );
#endif
ztrsm_( &f77_side,
&f77_uploa,
&f77_transa,
&f77_diaga,
&mm,
&kk,
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 ) ) gflops *= 4.0;
printf( "data_%s_%ctrsm_%s", THR_STR, dt_ch, STR );
printf( "( %2lu, 1:3 ) = [ %4lu %4lu %7.2f ];\n",
( unsigned long )(p - p_begin + 1)/p_inc + 1,
( unsigned long )m,
( unsigned long )n, gflops );
bli_obj_free( &alpha );
bli_obj_free( &a );
bli_obj_free( &c );
bli_obj_free( &c_save );
}
//bli_finalize();
return 0;
}
int main( int argc, char** argv )
{
obj_t a, x;
obj_t x_save;
obj_t alpha;
dim_t m;
dim_t p;
dim_t p_begin, p_end, p_inc;
int m_input;
num_t dt_a, dt_x;
num_t dt_alpha;
int r, n_repeats;
uplo_t uplo;
double dtime;
double dtime_save;
double gflops;
//bli_init();
n_repeats = 3;
#ifndef PRINT
p_begin = 40;
p_end = 2000;
p_inc = 40;
m_input = -1;
#else
p_begin = 16;
p_end = 16;
p_inc = 1;
m_input = 15;
n_input = 15;
#endif
dt_alpha = dt_a = dt_x = BLIS_DOUBLE;
uplo = BLIS_LOWER;
// Begin with initializing the last entry to zero so that
// matlab allocates space for the entire array once up-front.
for ( p = p_begin; p + p_inc <= p_end; p += p_inc ) ;
#ifdef BLIS
printf( "data_trsv_blis" );
#else
printf( "data_trv_%s", BLAS );
#endif
printf( "( %2lu, 1:2 ) = [ %4lu %7.2f ];\n",
( unsigned long )(p - p_begin + 1)/p_inc + 1,
( unsigned long )0, 0.0 );
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;
bli_obj_create( dt_alpha, 1, 1, 0, 0, &alpha );
bli_obj_create( dt_a, m, m, 0, 0, &a );
bli_obj_create( dt_x, m, 1, 0, 0, &x );
bli_obj_create( dt_x, m, 1, 0, 0, &x_save );
bli_randm( &a );
bli_randm( &x );
bli_obj_set_struc( BLIS_TRIANGULAR, &a );
bli_obj_set_uplo( uplo, &a );
bli_obj_set_onlytrans( BLIS_NO_TRANSPOSE, &a );
bli_obj_set_diag( BLIS_NONUNIT_DIAG, &a );
// Randomize A and zero the unstored triangle to ensure the
// implementation reads only from the stored region.
bli_randm( &a );
bli_mktrim( &a );
// Load the diagonal of A to make it more likely to be invertible.
bli_shiftd( &BLIS_TWO, &a );
bli_setsc( (1.0/1.0), 0.0, &alpha );
bli_copym( &x, &x_save );
dtime_save = DBL_MAX;
for ( r = 0; r < n_repeats; ++r )
{
bli_copym( &x_save, &x );
dtime = bli_clock();
#ifdef PRINT
bli_printm( "a", &a, "%4.1f", "" );
bli_printm( "x", &x, "%4.1f", "" );
#endif
#ifdef BLIS
bli_trsv( &BLIS_ONE,
&a,
&x );
#else
f77_char uploa = 'L';
f77_char transa = 'N';
f77_char diaga = 'N';
f77_int mm = bli_obj_length( &a );
f77_int lda = bli_obj_col_stride( &a );
f77_int incx = bli_obj_vector_inc( &x );
double* ap = bli_obj_buffer( &a );
double* xp = bli_obj_buffer( &x );
dtrsv_( &uploa,
&transa,
&diaga,
&mm,
ap, &lda,
xp, &incx );
#endif
#ifdef PRINT
bli_printm( "x after", &x, "%4.1f", "" );
exit(1);
#endif
dtime_save = bli_clock_min_diff( dtime_save, dtime );
}
gflops = ( 1.0 * m * m ) / ( dtime_save * 1.0e9 );
#ifdef BLIS
printf( "data_trsv_blis" );
#else
printf( "data_trsv_%s", BLAS );
#endif
printf( "( %2lu, 1:2 ) = [ %4lu %7.2f ];\n",
( unsigned long )(p - p_begin + 1)/p_inc + 1,
( unsigned long )m, gflops );
bli_obj_free( &alpha );
bli_obj_free( &a );
bli_obj_free( &x );
bli_obj_free( &x_save );
}
//bli_finalize();
return 0;
}
void libblis_test_trmv_experiment( test_params_t* params,
test_op_t* op,
mt_impl_t impl,
num_t datatype,
char* pc_str,
char* sc_str,
unsigned int p_cur,
double* perf,
double* resid )
{
unsigned int n_repeats = params->n_repeats;
unsigned int i;
double time_min = 1e9;
double time;
dim_t m;
uplo_t uploa;
trans_t transa;
diag_t diaga;
obj_t kappa;
obj_t alpha, a, x;
obj_t x_save;
// Map the dimension specifier to an actual dimension.
m = libblis_test_get_dim_from_prob_size( op->dim_spec[0], p_cur );
// Map parameter characters to BLIS constants.
bli_param_map_char_to_blis_uplo( pc_str[0], &uploa );
bli_param_map_char_to_blis_trans( pc_str[1], &transa );
bli_param_map_char_to_blis_diag( pc_str[2], &diaga );
// Create test scalars.
bli_obj_init_scalar( datatype, &alpha );
bli_obj_init_scalar( datatype, &kappa );
// Create test operands (vectors and/or matrices).
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[0], m, m, &a );
libblis_test_vobj_create( params, datatype,
sc_str[1], m, &x );
libblis_test_vobj_create( params, datatype,
sc_str[1], m, &x_save );
// Set alpha.
if ( bli_obj_is_real( x ) )
bli_setsc( -1.0, 0.0, &alpha );
else
bli_setsc( 0.0, -1.0, &alpha );
// Set the structure and uplo properties of A.
bli_obj_set_struc( BLIS_TRIANGULAR, a );
bli_obj_set_uplo( uploa, a );
// Randomize A, make it densely triangular.
bli_randm( &a );
bli_mktrim( &a );
// Randomize x and save.
bli_randv( &x );
bli_copyv( &x, &x_save );
// Normalize vectors by m.
bli_setsc( 1.0/( double )m, 0.0, &kappa );
bli_scalv( &kappa, &x );
bli_scalv( &kappa, &x_save );
// Apply the remaining parameters.
bli_obj_set_conjtrans( transa, a );
bli_obj_set_diag( diaga, a );
// Repeat the experiment n_repeats times and record results.
for ( i = 0; i < n_repeats; ++i )
{
bli_copym( &x_save, &x );
time = bli_clock();
libblis_test_trmv_impl( impl, &alpha, &a, &x );
time_min = bli_clock_min_diff( time_min, time );
}
// Estimate the performance of the best experiment repeat.
*perf = ( 1.0 * m * m ) / time_min / FLOPS_PER_UNIT_PERF;
if ( bli_obj_is_complex( x ) ) *perf *= 4.0;
// Perform checks.
libblis_test_trmv_check( &alpha, &a, &x, &x_save, resid );
// Zero out performance and residual if output vector is empty.
libblis_test_check_empty_problem( &x, perf, resid );
// Free the test objects.
bli_obj_free( &a );
bli_obj_free( &x );
bli_obj_free( &x_save );
}
void libblis_test_symv_experiment
(
test_params_t* params,
test_op_t* op,
iface_t iface,
num_t datatype,
char* pc_str,
char* sc_str,
unsigned int p_cur,
double* perf,
double* resid
)
{
unsigned int n_repeats = params->n_repeats;
unsigned int i;
double time_min = DBL_MAX;
double time;
dim_t m;
uplo_t uploa;
conj_t conja;
conj_t conjx;
obj_t alpha, a, x, beta, y;
obj_t y_save;
// Map the dimension specifier to an actual dimension.
m = libblis_test_get_dim_from_prob_size( op->dim_spec[0], p_cur );
// Map parameter characters to BLIS constants.
bli_param_map_char_to_blis_uplo( pc_str[0], &uploa );
bli_param_map_char_to_blis_conj( pc_str[1], &conja );
bli_param_map_char_to_blis_conj( pc_str[2], &conjx );
// Create test scalars.
bli_obj_scalar_init_detached( datatype, &alpha );
bli_obj_scalar_init_detached( datatype, &beta );
// Create test operands (vectors and/or matrices).
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[0], m, m, &a );
libblis_test_vobj_create( params, datatype,
sc_str[1], m, &x );
libblis_test_vobj_create( params, datatype,
sc_str[2], m, &y );
libblis_test_vobj_create( params, datatype,
sc_str[2], m, &y_save );
// Set alpha and beta.
if ( bli_obj_is_real( &y ) )
{
bli_setsc( 1.0, 0.0, &alpha );
bli_setsc( -1.0, 0.0, &beta );
}
else
{
bli_setsc( 0.5, 0.5, &alpha );
bli_setsc( -0.5, 0.5, &beta );
}
// Set the structure and uplo properties of A.
bli_obj_set_struc( BLIS_SYMMETRIC, &a );
bli_obj_set_uplo( uploa, &a );
// Randomize A, make it densely symmetric, and zero the unstored triangle
// to ensure the implementation reads only from the stored region.
libblis_test_mobj_randomize( params, TRUE, &a );
bli_mksymm( &a );
bli_mktrim( &a );
// Randomize x and y, and save y.
libblis_test_vobj_randomize( params, TRUE, &x );
libblis_test_vobj_randomize( params, TRUE, &y );
bli_copyv( &y, &y_save );
// Apply the remaining parameters.
bli_obj_set_conj( conja, &a );
bli_obj_set_conj( conjx, &x );
// Repeat the experiment n_repeats times and record results.
for ( i = 0; i < n_repeats; ++i )
{
bli_copym( &y_save, &y );
time = bli_clock();
libblis_test_symv_impl( iface, &alpha, &a, &x, &beta, &y );
time_min = bli_clock_min_diff( time_min, time );
}
// Estimate the performance of the best experiment repeat.
*perf = ( 1.0 * m * m ) / time_min / FLOPS_PER_UNIT_PERF;
if ( bli_obj_is_complex( &y ) ) *perf *= 4.0;
// Perform checks.
libblis_test_symv_check( params, &alpha, &a, &x, &beta, &y, &y_save, resid );
// Zero out performance and residual if output vector is empty.
libblis_test_check_empty_problem( &y, perf, resid );
// Free the test objects.
bli_obj_free( &a );
bli_obj_free( &x );
bli_obj_free( &y );
bli_obj_free( &y_save );
}
void libblis_test_syr2_check( obj_t* alpha,
obj_t* x,
obj_t* y,
obj_t* a,
obj_t* a_orig,
double* resid )
{
num_t dt = bli_obj_datatype( *a );
num_t dt_real = bli_obj_datatype_proj_to_real( *a );
dim_t m_a = bli_obj_length( *a );
obj_t xt, yt;
obj_t t, v, w1, w2;
obj_t tau, rho, norm;
double junk;
//
// Pre-conditions:
// - x is randomized.
// - y is randomized.
// - a is randomized and symmetric.
// Note:
// - alpha should have a non-zero imaginary component in the
// complex cases in order to more fully exercise the implementation.
//
// Under these conditions, we assume that the implementation for
//
// A := A_orig + alpha * conjx(x) * conjy(y)^T + alpha * conjy(y) * conjx(x)^T
//
// is functioning correctly if
//
// normf( v - w )
//
// is negligible, where
//
// v = A * t
// w = ( A_orig + alpha * conjx(x) * conjy(y)^T + alpha * conjy(y) * conjx(x)^T ) * t
// = A_orig * t + alpha * conjx(x) * conjy(y)^T * t + alpha * conjy(y) * conjx(x)^T * t
// = A_orig * t + alpha * conjx(x) * conjy(y)^T * t + alpha * conjy(y) * rho
// = A_orig * t + alpha * conjx(x) * conjy(y)^T * t + w1
// = A_orig * t + alpha * conjx(x) * rho + w1
// = A_orig * t + w2 + w1
//
bli_mksymm( a );
bli_mksymm( a_orig );
bli_obj_set_struc( BLIS_GENERAL, *a );
bli_obj_set_struc( BLIS_GENERAL, *a_orig );
bli_obj_set_uplo( BLIS_DENSE, *a );
bli_obj_set_uplo( BLIS_DENSE, *a_orig );
bli_obj_scalar_init_detached( dt, &tau );
bli_obj_scalar_init_detached( dt, &rho );
bli_obj_scalar_init_detached( dt_real, &norm );
bli_obj_create( dt, m_a, 1, 0, 0, &t );
bli_obj_create( dt, m_a, 1, 0, 0, &v );
bli_obj_create( dt, m_a, 1, 0, 0, &w1 );
bli_obj_create( dt, m_a, 1, 0, 0, &w2 );
bli_obj_alias_to( *x, xt );
bli_obj_alias_to( *y, yt );
bli_setsc( 1.0/( double )m_a, -1.0/( double )m_a, &tau );
bli_setv( &tau, &t );
bli_gemv( &BLIS_ONE, a, &t, &BLIS_ZERO, &v );
bli_dotv( &xt, &t, &rho );
bli_mulsc( alpha, &rho );
bli_scal2v( &rho, y, &w1 );
bli_dotv( &yt, &t, &rho );
bli_mulsc( alpha, &rho );
bli_scal2v( &rho, x, &w2 );
bli_addv( &w2, &w1 );
bli_gemv( &BLIS_ONE, a_orig, &t, &BLIS_ONE, &w1 );
bli_subv( &w1, &v );
bli_normfv( &v, &norm );
bli_getsc( &norm, resid, &junk );
bli_obj_free( &t );
bli_obj_free( &v );
bli_obj_free( &w1 );
bli_obj_free( &w2 );
}
int main( int argc, char** argv )
{
obj_t a, x;
obj_t a_save;
obj_t alpha;
dim_t m;
dim_t p;
dim_t p_begin, p_end, p_inc;
int m_input;
num_t dt_a, dt_x;
num_t dt_alpha;
int r, n_repeats;
uplo_t uplo;
double dtime;
double dtime_save;
double gflops;
//bli_init();
n_repeats = 3;
#ifndef PRINT
p_begin = 40;
p_end = 2000;
p_inc = 40;
m_input = -1;
#else
p_begin = 16;
p_end = 16;
p_inc = 1;
m_input = 6;
#endif
#if 1
dt_alpha = dt_x = dt_a = BLIS_DOUBLE;
#else
dt_alpha = dt_x = dt_a = BLIS_DCOMPLEX;
#endif
uplo = BLIS_LOWER;
// Begin with initializing the last entry to zero so that
// matlab allocates space for the entire array once up-front.
for ( p = p_begin; p + p_inc <= p_end; p += p_inc ) ;
#ifdef BLIS
printf( "data_her_blis" );
#else
printf( "data_her_%s", BLAS );
#endif
printf( "( %2lu, 1:2 ) = [ %4lu %7.2f ];\n",
( unsigned long )(p - p_begin + 1)/p_inc + 1,
( unsigned long )0, 0.0 );
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;
bli_obj_create( dt_alpha, 1, 1, 0, 0, &alpha );
bli_obj_create( dt_x, m, 1, 0, 0, &x );
bli_obj_create( dt_a, m, m, 0, 0, &a );
bli_obj_create( dt_a, m, m, 0, 0, &a_save );
bli_randm( &x );
bli_randm( &a );
bli_obj_set_struc( BLIS_HERMITIAN, &a );
//bli_obj_set_struc( BLIS_SYMMETRIC, &a );
bli_obj_set_uplo( uplo, &a );
bli_setsc( (2.0/1.0), 0.0, &alpha );
bli_copym( &a, &a_save );
dtime_save = DBL_MAX;
for ( r = 0; r < n_repeats; ++r )
{
bli_copym( &a_save, &a );
dtime = bli_clock();
#ifdef PRINT
bli_printm( "x", &x, "%4.1f", "" );
bli_printm( "a", &a, "%4.1f", "" );
#endif
#ifdef BLIS
//bli_obj_toggle_conj( &x );
//bli_syr( &alpha,
bli_her( &alpha,
&x,
&a );
#else
f77_char uplo = 'L';
f77_int mm = bli_obj_length( &a );
f77_int incx = bli_obj_vector_inc( &x );
f77_int lda = bli_obj_col_stride( &a );
double* alphap = bli_obj_buffer( &alpha );
double* xp = bli_obj_buffer( &x );
double* ap = bli_obj_buffer( &a );
/*
dcomplex* xp = bli_obj_buffer( x );
dcomplex* ap = bli_obj_buffer( &a );
*/
dsyr_( &uplo,
//zher_( &uplo,
&mm,
alphap,
xp, &incx,
ap, &lda );
#endif
#ifdef PRINT
bli_printm( "a after", &a, "%4.1f", "" );
exit(1);
#endif
dtime_save = bli_clock_min_diff( dtime_save, dtime );
}
gflops = ( 1.0 * m * m ) / ( dtime_save * 1.0e9 );
#ifdef BLIS
printf( "data_her_blis" );
#else
printf( "data_her_%s", BLAS );
#endif
printf( "( %2lu, 1:2 ) = [ %4lu %7.2f ];\n",
( unsigned long )(p - p_begin + 1)/p_inc + 1,
( unsigned long )m, gflops );
bli_obj_free( &alpha );
bli_obj_free( &x );
bli_obj_free( &a );
bli_obj_free( &a_save );
}
//bli_finalize();
return 0;
}
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;
int r, n_repeats;
side_t side;
uplo_t uploa;
f77_char f77_side;
f77_char f77_uploa;
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;
bli_param_map_blis_to_netlib_side( side, &f77_side );
bli_param_map_blis_to_netlib_uplo( uploa, &f77_uploa );
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 );
bli_obj_create( dt, 1, 1, 0, 0, &beta );
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, &b );
bli_obj_create( dt, m, n, 0, 0, &c );
bli_obj_create( dt, m, n, 0, 0, &c_save );
bli_randm( &a );
bli_randm( &b );
bli_randm( &c );
bli_obj_set_struc( BLIS_HERMITIAN, a );
bli_obj_set_uplo( uploa, 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_obj_toggle_uplo( a );
bli_obj_inc_diag_off( 1, a );
bli_setm( &BLIS_ZERO, &a );
bli_obj_inc_diag_off( -1, a );
bli_obj_toggle_uplo( a );
bli_obj_set_diag( BLIS_NONUNIT_DIAG, a );
bli_scalm( &BLIS_TWO, &a );
bli_scalm( &BLIS_TWO, &a );
*/
bli_setsc( (2.0/1.0), 1.0, &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
bli_printm( "a", &a, "%4.1f", "" );
bli_printm( "b", &b, "%4.1f", "" );
bli_printm( "c", &c, "%4.1f", "" );
#endif
#ifdef BLIS
bli_hemm( side,
&alpha,
&a,
&b,
&beta,
&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 ldb = bli_obj_col_stride( b );
f77_int ldc = bli_obj_col_stride( c );
float* alphap = bli_obj_buffer( alpha );
float* ap = bli_obj_buffer( a );
float* bp = bli_obj_buffer( b );
float* betap = bli_obj_buffer( beta );
float* cp = bli_obj_buffer( c );
ssymm_( &f77_side,
&f77_uploa,
&mm,
&nn,
alphap,
ap, &lda,
bp, &ldb,
betap,
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 ldb = bli_obj_col_stride( b );
f77_int ldc = bli_obj_col_stride( c );
double* alphap = bli_obj_buffer( alpha );
double* ap = bli_obj_buffer( a );
double* bp = bli_obj_buffer( b );
double* betap = bli_obj_buffer( beta );
double* cp = bli_obj_buffer( c );
dsymm_( &f77_side,
&f77_uploa,
&mm,
&nn,
alphap,
ap, &lda,
bp, &ldb,
betap,
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 ldb = bli_obj_col_stride( b );
f77_int ldc = bli_obj_col_stride( c );
scomplex* alphap = bli_obj_buffer( alpha );
scomplex* ap = bli_obj_buffer( a );
scomplex* bp = bli_obj_buffer( b );
scomplex* betap = bli_obj_buffer( beta );
scomplex* cp = bli_obj_buffer( c );
chemm_( &f77_side,
&f77_uploa,
&mm,
&nn,
alphap,
ap, &lda,
bp, &ldb,
betap,
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 ldb = bli_obj_col_stride( b );
f77_int ldc = bli_obj_col_stride( c );
dcomplex* alphap = bli_obj_buffer( alpha );
dcomplex* ap = bli_obj_buffer( a );
dcomplex* bp = bli_obj_buffer( b );
dcomplex* betap = bli_obj_buffer( beta );
dcomplex* cp = bli_obj_buffer( c );
zhemm_( &f77_side,
&f77_uploa,
&mm,
&nn,
alphap,
ap, &lda,
bp, &ldb,
betap,
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 = ( 2.0 * m * m * n ) / ( dtime_save * 1.0e9 );
else
gflops = ( 2.0 * m * n * n ) / ( dtime_save * 1.0e9 );
if ( bli_is_complex( dt ) ) gflops *= 4.0;
#ifdef BLIS
printf( "data_hemm_blis" );
#else
printf( "data_hemm_%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;
}
void libblis_test_syrk_experiment( test_params_t* params,
test_op_t* op,
mt_impl_t impl,
num_t datatype,
char* pc_str,
char* sc_str,
unsigned int p_cur,
double* perf,
double* resid )
{
unsigned int n_repeats = params->n_repeats;
unsigned int i;
double time_min = 1e9;
double time;
dim_t m, k;
uplo_t uploc;
trans_t transa;
obj_t kappa;
obj_t alpha, a, beta, c;
obj_t c_save;
// Map the dimension specifier to actual dimensions.
m = libblis_test_get_dim_from_prob_size( op->dim_spec[0], p_cur );
k = libblis_test_get_dim_from_prob_size( op->dim_spec[1], p_cur );
// Map parameter characters to BLIS constants.
bli_param_map_char_to_blis_uplo( pc_str[0], &uploc );
bli_param_map_char_to_blis_trans( pc_str[1], &transa );
// Create test scalars.
bli_obj_scalar_init_detached( datatype, &kappa );
bli_obj_scalar_init_detached( datatype, &alpha );
bli_obj_scalar_init_detached( datatype, &beta );
// Create test operands (vectors and/or matrices).
libblis_test_mobj_create( params, datatype, transa,
sc_str[0], m, k, &a );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[1], m, m, &c );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[1], m, m, &c_save );
// Set alpha and beta.
if ( bli_obj_is_real( c ) )
{
bli_setsc( 1.2, 0.0, &alpha );
bli_setsc( -1.0, 0.0, &beta );
}
else
{
// For syrk, both alpha and beta may be complex since, unlike herk,
// C is symmetric in both the real and complex cases.
bli_setsc( 1.2, 0.5, &alpha );
bli_setsc( -1.0, 0.5, &beta );
}
// Randomize A.
bli_randm( &a );
// Set the structure and uplo properties of C.
bli_obj_set_struc( BLIS_SYMMETRIC, c );
bli_obj_set_uplo( uploc, c );
// Randomize A, make it densely symmetric, and zero the unstored triangle
// to ensure the implementation is reads only from the stored region.
bli_randm( &c );
bli_mksymm( &c );
bli_mktrim( &c );
// Save C and set its structure and uplo properties.
bli_obj_set_struc( BLIS_SYMMETRIC, c_save );
bli_obj_set_uplo( uploc, c_save );
bli_copym( &c, &c_save );
// Normalize by k.
bli_setsc( 1.0/( double )k, 0.0, &kappa );
bli_scalm( &kappa, &a );
// Apply the remaining parameters.
bli_obj_set_conjtrans( transa, a );
// Repeat the experiment n_repeats times and record results.
for ( i = 0; i < n_repeats; ++i )
{
bli_copym( &c_save, &c );
time = bli_clock();
libblis_test_syrk_impl( impl, &alpha, &a, &beta, &c );
time_min = bli_clock_min_diff( time_min, time );
}
// Estimate the performance of the best experiment repeat.
*perf = ( 1.0 * m * m * k ) / time_min / FLOPS_PER_UNIT_PERF;
if ( bli_obj_is_complex( c ) ) *perf *= 4.0;
// Perform checks.
libblis_test_syrk_check( &alpha, &a, &beta, &c, &c_save, resid );
// Zero out performance and residual if output matrix is empty.
libblis_test_check_empty_problem( &c, perf, resid );
// Free the test objects.
bli_obj_free( &a );
bli_obj_free( &c );
bli_obj_free( &c_save );
}
int main( int argc, char** argv )
{
obj_t a, c;
obj_t c_save;
obj_t alpha, beta;
dim_t m, k;
dim_t p;
dim_t p_begin, p_end, p_inc;
int m_input, k_input;
num_t dt_a, dt_c;
num_t dt_alpha, dt_beta;
int r, n_repeats;
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 );
k_input = strtol( argv[3], NULL, 10 );
p_begin = strtol( argv[4], NULL, 10 );
p_inc = strtol( argv[5], NULL, 10 );
p_end = strtol( argv[6], NULL, 10 );
dt_a = BLIS_DOUBLE;
dt_c = BLIS_DOUBLE;
dt_alpha = BLIS_DOUBLE;
dt_beta = BLIS_DOUBLE;
uplo = BLIS_LOWER;
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 ( k_input < 0 ) k = p * ( dim_t )abs(k_input);
else k = ( dim_t ) k_input;
bli_obj_create( dt_alpha, 1, 1, 0, 0, &alpha );
bli_obj_create( dt_beta, 1, 1, 0, 0, &beta );
bli_obj_create( dt_a, m, k, 0, 0, &a );
bli_obj_create( dt_c, m, m, 0, 0, &c );
bli_obj_create( dt_c, m, m, 0, 0, &c_save );
bli_randm( &a );
bli_randm( &c );
bli_obj_set_struc( BLIS_HERMITIAN, &c );
bli_obj_set_uplo( uplo, &c );
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
bli_printm( "a", &a, "%4.1f", "" );
bli_printm( "c", &c, "%4.1f", "" );
#endif
#ifdef BLIS
//bli_error_checking_level_set( BLIS_NO_ERROR_CHECKING );
bli_herk( &alpha,
&a,
&beta,
&c );
#else
f77_char uploa = 'L';
f77_char transa = 'N';
f77_int mm = bli_obj_length( &c );
f77_int kk = bli_obj_width_after_trans( &a );
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* betap = bli_obj_buffer( &beta );
double* cp = bli_obj_buffer( &c );
dsyrk_( &uploa,
&transa,
&mm,
&kk,
alphap,
ap, &lda,
betap,
cp, &ldc );
#endif
#ifdef PRINT
bli_printm( "c after", &c, "%4.1f", "" );
exit(1);
#endif
dtime_save = bli_clock_min_diff( dtime_save, dtime );
}
gflops = ( 1.0 * m * k * m ) / ( dtime_save * 1.0e9 );
#ifdef BLIS
printf( "data_herk_blis" );
#else
printf( "data_herk_%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 )k, dtime_save, gflops );
bli_obj_free( &alpha );
bli_obj_free( &beta );
bli_obj_free( &a );
bli_obj_free( &c );
bli_obj_free( &c_save );
}
bli_finalize();
return 0;
}
void libblis_test_hemm_experiment( test_params_t* params,
test_op_t* op,
iface_t iface,
num_t datatype,
char* pc_str,
char* sc_str,
unsigned int p_cur,
double* perf,
double* resid )
{
unsigned int n_repeats = params->n_repeats;
unsigned int i;
double time_min = 1e9;
double time;
dim_t m, n;
dim_t mn_side;
side_t side;
uplo_t uploa;
conj_t conja;
trans_t transb;
obj_t kappa;
obj_t alpha, a, b, beta, c;
obj_t c_save;
// Map the dimension specifier to actual dimensions.
m = libblis_test_get_dim_from_prob_size( op->dim_spec[0], p_cur );
n = libblis_test_get_dim_from_prob_size( op->dim_spec[1], p_cur );
// Map parameter characters to BLIS constants.
bli_param_map_char_to_blis_side( pc_str[0], &side );
bli_param_map_char_to_blis_uplo( pc_str[1], &uploa );
bli_param_map_char_to_blis_conj( pc_str[2], &conja );
bli_param_map_char_to_blis_trans( pc_str[3], &transb );
// Create test scalars.
bli_obj_scalar_init_detached( datatype, &kappa );
bli_obj_scalar_init_detached( datatype, &alpha );
bli_obj_scalar_init_detached( datatype, &beta );
// Create test operands (vectors and/or matrices).
bli_set_dim_with_side( side, m, n, mn_side );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[0], mn_side, mn_side, &a );
libblis_test_mobj_create( params, datatype, transb,
sc_str[1], m, n, &b );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[2], m, n, &c );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[2], m, n, &c_save );
// Set alpha and beta.
if ( bli_obj_is_real( c ) )
{
bli_setsc( 1.2, 0.0, &alpha );
bli_setsc( -1.0, 0.0, &beta );
}
else
{
bli_setsc( 1.2, 0.8, &alpha );
bli_setsc( -1.0, 1.0, &beta );
}
// Set the structure and uplo properties of A.
bli_obj_set_struc( BLIS_HERMITIAN, a );
bli_obj_set_uplo( uploa, 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 );
// Randomize B and C, and save C.
bli_randm( &b );
bli_randm( &c );
bli_copym( &c, &c_save );
// Normalize by m.
bli_setsc( 1.0/( double )m, 0.0, &kappa );
bli_scalm( &kappa, &b );
// Apply the remaining parameters.
bli_obj_set_conj( conja, a );
bli_obj_set_conjtrans( transb, b );
// Repeat the experiment n_repeats times and record results.
for ( i = 0; i < n_repeats; ++i )
{
bli_copym( &c_save, &c );
time = bli_clock();
libblis_test_hemm_impl( iface, side, &alpha, &a, &b, &beta, &c );
time_min = bli_clock_min_diff( time_min, time );
}
// Estimate the performance of the best experiment repeat.
*perf = ( 2.0 * mn_side * m * n ) / time_min / FLOPS_PER_UNIT_PERF;
if ( bli_obj_is_complex( c ) ) *perf *= 4.0;
// Perform checks.
libblis_test_hemm_check( side, &alpha, &a, &b, &beta, &c, &c_save, resid );
// Zero out performance and residual if output matrix is empty.
libblis_test_check_empty_problem( &c, perf, resid );
// Free the test objects.
bli_obj_free( &a );
bli_obj_free( &b );
bli_obj_free( &c );
bli_obj_free( &c_save );
}
void libblis_test_her_experiment( test_params_t* params,
test_op_t* op,
iface_t iface,
num_t datatype,
char* pc_str,
char* sc_str,
unsigned int p_cur,
double* perf,
double* resid )
{
unsigned int n_repeats = params->n_repeats;
unsigned int i;
double time_min = 1e9;
double time;
dim_t m;
uplo_t uploa;
conj_t conjx;
obj_t alpha, x, a;
obj_t a_save;
// Map the dimension specifier to an actual dimension.
m = libblis_test_get_dim_from_prob_size( op->dim_spec[0], p_cur );
// Map parameter characters to BLIS constants.
bli_param_map_char_to_blis_uplo( pc_str[0], &uploa );
bli_param_map_char_to_blis_conj( pc_str[1], &conjx );
// Create test scalars.
bli_obj_scalar_init_detached( datatype, &alpha );
// Create test operands (vectors and/or matrices).
libblis_test_vobj_create( params, datatype,
sc_str[0], m, &x );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[1], m, m, &a );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[1], m, m, &a_save );
// Set alpha.
//bli_copysc( &BLIS_MINUS_ONE, &alpha );
bli_setsc( -1.0, 0.0, &alpha );
// Randomize x.
bli_randv( &x );
// Set the structure and uplo properties of A.
bli_obj_set_struc( BLIS_HERMITIAN, a );
bli_obj_set_uplo( uploa, a );
// Randomize A, make it densely Hermitian, and zero the unstored triangle
// to ensure the implementation is reads only from the stored region.
bli_randm( &a );
bli_mkherm( &a );
bli_mktrim( &a );
// Save A and set its structure and uplo properties.
bli_obj_set_struc( BLIS_HERMITIAN, a_save );
bli_obj_set_uplo( uploa, a_save );
bli_copym( &a, &a_save );
// Apply the remaining parameters.
bli_obj_set_conj( conjx, x );
// Repeat the experiment n_repeats times and record results.
for ( i = 0; i < n_repeats; ++i )
{
bli_copym( &a_save, &a );
time = bli_clock();
libblis_test_her_impl( iface, &alpha, &x, &a );
time_min = bli_clock_min_diff( time_min, time );
}
// Estimate the performance of the best experiment repeat.
*perf = ( 1.0 * m * m ) / time_min / FLOPS_PER_UNIT_PERF;
if ( bli_obj_is_complex( a ) ) *perf *= 4.0;
// Perform checks.
libblis_test_her_check( &alpha, &x, &a, &a_save, resid );
// Zero out performance and residual if output matrix is empty.
libblis_test_check_empty_problem( &a, perf, resid );
// Free the test objects.
bli_obj_free( &x );
bli_obj_free( &a );
bli_obj_free( &a_save );
}
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;
}
void libblis_test_her_check( obj_t* alpha,
obj_t* x,
obj_t* a,
obj_t* a_orig,
double* resid )
{
num_t dt = bli_obj_datatype( *a );
num_t dt_real = bli_obj_datatype_proj_to_real( *a );
dim_t m_a = bli_obj_length( *a );
obj_t xh, t, v, w;
obj_t tau, rho, norm;
double junk;
//
// Pre-conditions:
// - x is randomized.
// - a is randomized and Hermitian.
// Note:
// - alpha must be real-valued.
//
// Under these conditions, we assume that the implementation for
//
// A := A_orig + alpha * conjx(x) * conjx(x)^H
//
// is functioning correctly if
//
// normf( v - w )
//
// is negligible, where
//
// v = A * t
// w = ( A_orig + alpha * conjx(x) * conjx(x)^H ) * t
// = A_orig * t + alpha * conjx(x) * conjx(x)^H * t
// = A_orig * t + alpha * conjx(x) * rho
// = A_orig * t + w
//
bli_mkherm( a );
bli_mkherm( a_orig );
bli_obj_set_struc( BLIS_GENERAL, *a );
bli_obj_set_struc( BLIS_GENERAL, *a_orig );
bli_obj_set_uplo( BLIS_DENSE, *a );
bli_obj_set_uplo( BLIS_DENSE, *a_orig );
bli_obj_scalar_init_detached( dt, &tau );
bli_obj_scalar_init_detached( dt, &rho );
bli_obj_scalar_init_detached( dt_real, &norm );
bli_obj_create( dt, m_a, 1, 0, 0, &t );
bli_obj_create( dt, m_a, 1, 0, 0, &v );
bli_obj_create( dt, m_a, 1, 0, 0, &w );
bli_obj_alias_with_conj( BLIS_CONJUGATE, *x, xh );
bli_setsc( 1.0/( double )m_a, -1.0/( double )m_a, &tau );
bli_setv( &tau, &t );
bli_gemv( &BLIS_ONE, a, &t, &BLIS_ZERO, &v );
bli_dotv( &xh, &t, &rho );
bli_mulsc( alpha, &rho );
bli_scal2v( &rho, x, &w );
bli_gemv( &BLIS_ONE, a_orig, &t, &BLIS_ONE, &w );
bli_subv( &w, &v );
bli_normfv( &v, &norm );
bli_getsc( &norm, resid, &junk );
bli_obj_free( &t );
bli_obj_free( &v );
bli_obj_free( &w );
}
int main( int argc, char** argv )
{
obj_t a, c;
obj_t c_save;
obj_t alpha, beta;
dim_t m, k;
dim_t p;
dim_t p_begin, p_end, p_inc;
int m_input, k_input;
num_t dt;
int r, n_repeats;
uplo_t uploc;
trans_t transa;
f77_char f77_uploc;
f77_char f77_transa;
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;
k_input = -1;
#else
p_begin = 16;
p_end = 16;
p_inc = 1;
m_input = 3;
k_input = 1;
#endif
#if 1
//dt = BLIS_FLOAT;
dt = BLIS_DOUBLE;
#else
//dt = BLIS_SCOMPLEX;
dt = BLIS_DCOMPLEX;
#endif
uploc = BLIS_LOWER;
//uploc = BLIS_UPPER;
transa = BLIS_NO_TRANSPOSE;
bli_param_map_blis_to_netlib_uplo( uploc, &f77_uploc );
bli_param_map_blis_to_netlib_trans( transa, &f77_transa );
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 ( k_input < 0 ) k = p * ( dim_t )abs(k_input);
else k = ( dim_t ) k_input;
bli_obj_create( dt, 1, 1, 0, 0, &alpha );
bli_obj_create( dt, 1, 1, 0, 0, &beta );
if ( bli_does_trans( transa ) )
bli_obj_create( dt, k, m, 0, 0, &a );
else
bli_obj_create( dt, m, k, 0, 0, &a );
bli_obj_create( dt, m, m, 0, 0, &c );
bli_obj_create( dt, m, m, 0, 0, &c_save );
bli_randm( &a );
bli_randm( &c );
bli_obj_set_struc( BLIS_HERMITIAN, c );
bli_obj_set_uplo( uploc, c );
bli_obj_set_conjtrans( transa, 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
bli_printm( "a", &a, "%4.1f", "" );
bli_printm( "c", &c, "%4.1f", "" );
#endif
#ifdef BLIS
bli_herk( &alpha,
&a,
&beta,
&c );
#else
if ( bli_is_float( dt ) )
{
f77_int mm = bli_obj_length( c );
f77_int kk = bli_obj_width_after_trans( a );
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* betap = bli_obj_buffer( beta );
float* cp = bli_obj_buffer( c );
ssyrk_( &f77_uploc,
&f77_transa,
&mm,
&kk,
alphap,
ap, &lda,
betap,
cp, &ldc );
}
else if ( bli_is_double( dt ) )
{
f77_int mm = bli_obj_length( c );
f77_int kk = bli_obj_width_after_trans( a );
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* betap = bli_obj_buffer( beta );
double* cp = bli_obj_buffer( c );
dsyrk_( &f77_uploc,
&f77_transa,
&mm,
&kk,
alphap,
ap, &lda,
betap,
cp, &ldc );
}
else if ( bli_is_scomplex( dt ) )
{
f77_int mm = bli_obj_length( c );
f77_int kk = bli_obj_width_after_trans( a );
f77_int lda = bli_obj_col_stride( a );
f77_int ldc = bli_obj_col_stride( c );
float* alphap = bli_obj_buffer( alpha );
scomplex* ap = bli_obj_buffer( a );
float* betap = bli_obj_buffer( beta );
scomplex* cp = bli_obj_buffer( c );
cherk_( &f77_uploc,
&f77_transa,
&mm,
&kk,
alphap,
ap, &lda,
betap,
cp, &ldc );
}
else if ( bli_is_dcomplex( dt ) )
{
f77_int mm = bli_obj_length( c );
f77_int kk = bli_obj_width_after_trans( a );
f77_int lda = bli_obj_col_stride( a );
f77_int ldc = bli_obj_col_stride( c );
double* alphap = bli_obj_buffer( alpha );
dcomplex* ap = bli_obj_buffer( a );
double* betap = bli_obj_buffer( beta );
dcomplex* cp = bli_obj_buffer( c );
zherk_( &f77_uploc,
&f77_transa,
&mm,
&kk,
alphap,
ap, &lda,
betap,
cp, &ldc );
}
#endif
#ifdef PRINT
bli_printm( "c after", &c, "%4.1f", "" );
exit(1);
#endif
dtime_save = bli_clock_min_diff( dtime_save, dtime );
}
gflops = ( 1.0 * m * k * m ) / ( dtime_save * 1.0e9 );
if ( bli_is_complex( dt ) ) gflops *= 4.0;
#ifdef BLIS
printf( "data_herk_blis" );
#else
printf( "data_herk_%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 )k, dtime_save, gflops );
bli_obj_free( &alpha );
bli_obj_free( &beta );
bli_obj_free( &a );
bli_obj_free( &c );
bli_obj_free( &c_save );
}
bli_finalize();
return 0;
}
void libblis_test_her2k_experiment
(
test_params_t* params,
test_op_t* op,
iface_t iface,
num_t datatype,
char* pc_str,
char* sc_str,
unsigned int p_cur,
double* perf,
double* resid
)
{
unsigned int n_repeats = params->n_repeats;
unsigned int i;
double time_min = DBL_MAX;
double time;
dim_t m, k;
uplo_t uploc;
trans_t transa, transb;
obj_t alpha, a, b, beta, c;
obj_t c_save;
// Map the dimension specifier to actual dimensions.
m = libblis_test_get_dim_from_prob_size( op->dim_spec[0], p_cur );
k = libblis_test_get_dim_from_prob_size( op->dim_spec[1], p_cur );
// Map parameter characters to BLIS constants.
bli_param_map_char_to_blis_uplo( pc_str[0], &uploc );
bli_param_map_char_to_blis_trans( pc_str[1], &transa );
bli_param_map_char_to_blis_trans( pc_str[2], &transb );
// Create test scalars.
bli_obj_scalar_init_detached( datatype, &alpha );
bli_obj_scalar_init_detached( datatype, &beta );
// Create test operands (vectors and/or matrices).
libblis_test_mobj_create( params, datatype, transa,
sc_str[0], m, k, &a );
libblis_test_mobj_create( params, datatype, transb,
sc_str[1], m, k, &b );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[2], m, m, &c );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[2], m, m, &c_save );
// Set alpha and beta.
if ( bli_obj_is_real( c ) )
{
bli_setsc( 0.8, 0.0, &alpha );
bli_setsc( -1.0, 0.0, &beta );
}
else
{
// For her2k, alpha may be complex, but beta must be real-valued
// (in order to preserve the Hermitian structure of C).
bli_setsc( 0.8, 0.5, &alpha );
bli_setsc( -1.0, 0.0, &beta );
}
// Randomize A and B.
libblis_test_mobj_randomize( params, TRUE, &a );
libblis_test_mobj_randomize( params, TRUE, &b );
// Set the structure and uplo properties of C.
bli_obj_set_struc( BLIS_HERMITIAN, c );
bli_obj_set_uplo( uploc, c );
// Randomize A, make it densely Hermitian, and zero the unstored triangle
// to ensure the implementation is reads only from the stored region.
libblis_test_mobj_randomize( params, TRUE, &c );
bli_mkherm( &c );
bli_mktrim( &c );
// Save C and set its structure and uplo properties.
bli_obj_set_struc( BLIS_HERMITIAN, c_save );
bli_obj_set_uplo( uploc, c_save );
bli_copym( &c, &c_save );
// Apply the remaining parameters.
bli_obj_set_conjtrans( transa, a );
bli_obj_set_conjtrans( transb, b );
// Repeat the experiment n_repeats times and record results.
for ( i = 0; i < n_repeats; ++i )
{
bli_copym( &c_save, &c );
time = bli_clock();
libblis_test_her2k_impl( iface, &alpha, &a, &b, &beta, &c );
time_min = bli_clock_min_diff( time_min, time );
}
// Estimate the performance of the best experiment repeat.
*perf = ( 2.0 * m * m * k ) / time_min / FLOPS_PER_UNIT_PERF;
if ( bli_obj_is_complex( c ) ) *perf *= 4.0;
// Perform checks.
libblis_test_her2k_check( params, &alpha, &a, &b, &beta, &c, &c_save, resid );
// Zero out performance and residual if output matrix is empty.
libblis_test_check_empty_problem( &c, perf, resid );
// Free the test objects.
bli_obj_free( &a );
bli_obj_free( &b );
bli_obj_free( &c );
bli_obj_free( &c_save );
}
void libblis_test_trsm_experiment
(
test_params_t* params,
test_op_t* op,
iface_t iface,
num_t datatype,
char* pc_str,
char* sc_str,
unsigned int p_cur,
double* perf,
double* resid
)
{
unsigned int n_repeats = params->n_repeats;
unsigned int i;
double time_min = 1e9;
double time;
dim_t m, n;
dim_t mn_side;
side_t side;
uplo_t uploa;
trans_t transa;
diag_t diaga;
obj_t alpha, a, b;
obj_t b_save;
// Map the dimension specifier to actual dimensions.
m = libblis_test_get_dim_from_prob_size( op->dim_spec[0], p_cur );
n = libblis_test_get_dim_from_prob_size( op->dim_spec[1], p_cur );
// Map parameter characters to BLIS constants.
bli_param_map_char_to_blis_side( pc_str[0], &side );
bli_param_map_char_to_blis_uplo( pc_str[1], &uploa );
bli_param_map_char_to_blis_trans( pc_str[2], &transa );
bli_param_map_char_to_blis_diag( pc_str[3], &diaga );
// Create test scalars.
bli_obj_scalar_init_detached( datatype, &alpha );
// Create test operands (vectors and/or matrices).
bli_set_dim_with_side( side, m, n, mn_side );
libblis_test_mobj_create( params, datatype, transa,
sc_str[0], mn_side, mn_side, &a );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[1], m, n, &b );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[1], m, n, &b_save );
// Set alpha.
if ( bli_obj_is_real( b ) )
{
bli_setsc( 2.0, 0.0, &alpha );
}
else
{
bli_setsc( 2.0, 0.0, &alpha );
}
// Set the structure and uplo properties of A.
bli_obj_set_struc( BLIS_TRIANGULAR, a );
bli_obj_set_uplo( uploa, a );
// Randomize A, load the diagonal, make it densely triangular.
libblis_test_mobj_randomize( params, TRUE, &a );
libblis_test_mobj_load_diag( params, &a );
bli_mktrim( &a );
// Randomize B and save B.
libblis_test_mobj_randomize( params, TRUE, &b );
bli_copym( &b, &b_save );
// Apply the remaining parameters.
bli_obj_set_conjtrans( transa, a );
bli_obj_set_diag( diaga, a );
// Repeat the experiment n_repeats times and record results.
for ( i = 0; i < n_repeats; ++i )
{
bli_copym( &b_save, &b );
time = bli_clock();
libblis_test_trsm_impl( iface, side, &alpha, &a, &b );
time_min = bli_clock_min_diff( time_min, time );
}
// Estimate the performance of the best experiment repeat.
*perf = ( 1.0 * mn_side * m * n ) / time_min / FLOPS_PER_UNIT_PERF;
if ( bli_obj_is_complex( b ) ) *perf *= 4.0;
// Perform checks.
libblis_test_trsm_check( params, side, &alpha, &a, &b, &b_save, resid );
// Zero out performance and residual if output matrix is empty.
libblis_test_check_empty_problem( &b, perf, resid );
// Free the test objects.
bli_obj_free( &a );
bli_obj_free( &b );
bli_obj_free( &b_save );
}
int main( int argc, char** argv )
{
bli_init();
#if 0
obj_t a, b, c;
obj_t aa, bb, cc;
dim_t m, n, k;
num_t dt;
uplo_t uploa, uplob, uploc;
{
dt = BLIS_DOUBLE;
m = 6;
k = 6;
n = 6;
bli_obj_create( dt, m, k, 0, 0, &a );
bli_obj_create( dt, k, n, 0, 0, &b );
bli_obj_create( dt, m, n, 0, 0, &c );
uploa = BLIS_UPPER;
uploa = BLIS_LOWER;
bli_obj_set_struc( BLIS_TRIANGULAR, a );
bli_obj_set_uplo( uploa, a );
bli_obj_set_diag_offset( -2, a );
uplob = BLIS_UPPER;
uplob = BLIS_LOWER;
bli_obj_set_struc( BLIS_TRIANGULAR, b );
bli_obj_set_uplo( uplob, b );
bli_obj_set_diag_offset( -2, b );
uploc = BLIS_UPPER;
//uploc = BLIS_LOWER;
//uploc = BLIS_ZEROS;
//uploc = BLIS_DENSE;
bli_obj_set_struc( BLIS_HERMITIAN, c );
//bli_obj_set_struc( BLIS_TRIANGULAR, c );
bli_obj_set_uplo( uploc, c );
bli_obj_set_diag_offset( 1, c );
bli_obj_alias_to( a, aa ); (void)aa;
bli_obj_alias_to( b, bb ); (void)bb;
bli_obj_alias_to( c, cc ); (void)cc;
bli_randm( &a );
bli_randm( &b );
bli_randm( &c );
//bli_mkherm( &a );
//bli_mktrim( &a );
bli_prune_unref_mparts( &cc, BLIS_M,
&aa, BLIS_N );
bli_printm( "c orig", &c, "%4.1f", "" );
bli_printm( "c alias", &cc, "%4.1f", "" );
bli_printm( "a orig", &a, "%4.1f", "" );
bli_printm( "a alias", &aa, "%4.1f", "" );
//bli_obj_print( "a struct", &a );
}
#endif
dim_t p_begin, p_max, p_inc;
gint_t m_input, n_input;
char uploa_ch;
doff_t diagoffa;
dim_t bf;
dim_t n_way;
char part_dim_ch;
bool_t go_fwd;
char out_ch;
obj_t a;
thrinfo_t thrinfo;
dim_t m, n;
uplo_t uploa;
bool_t part_m_dim, part_n_dim;
bool_t go_bwd;
dim_t p;
num_t dt;
dim_t start, end;
dim_t width;
siz_t area;
gint_t t_begin, t_stop, t_inc;
dim_t t;
if ( argc == 13 )
{
sscanf( argv[1], "%lu", &p_begin );
sscanf( argv[2], "%lu", &p_max );
sscanf( argv[3], "%lu", &p_inc );
sscanf( argv[4], "%ld", &m_input );
sscanf( argv[5], "%ld", &n_input );
sscanf( argv[6], "%c", &uploa_ch );
sscanf( argv[7], "%ld", &diagoffa );
sscanf( argv[8], "%lu", &bf );
sscanf( argv[9], "%lu", &n_way );
sscanf( argv[10], "%c", &part_dim_ch );
sscanf( argv[11], "%lu", &go_fwd );
sscanf( argv[12], "%c", &out_ch );
}
else
{
printf( "\n" );
printf( " %s\n", argv[0] );
printf( "\n" );
printf( " Simulate the dimension ranges assigned to threads when\n" );
printf( " partitioning a matrix for parallelism in BLIS.\n" );
printf( "\n" );
printf( " Usage:\n" );
printf( "\n" );
printf( " %s p_beg p_max p_inc m n uplo doff bf n_way part_dim go_fwd out\n", argv[0] );
printf( "\n" );
printf( " p_beg: the first problem size p to test.\n" );
printf( " p_max: the maximum problem size p to test.\n" );
printf( " p_inc: the increase in problem size p between tests.\n" );
printf( " m: the m dimension:\n" );
printf( " n: the n dimension:\n" );
printf( " if m,n = -1: bind m,n to problem size p.\n" );
printf( " if m,n = 0: bind m,n to p_max.\n" );
printf( " if m,n > 0: hold m,n = c constant for all p.\n" );
printf( " uplo: the uplo field of the matrix being partitioned:\n" );
printf( " 'l': lower-stored (BLIS_LOWER)\n" );
printf( " 'u': upper-stored (BLIS_UPPER)\n" );
printf( " 'd': densely-stored (BLIS_DENSE)\n" );
printf( " doff: the diagonal offset of the matrix being partitioned.\n" );
printf( " bf: the simulated blocking factor. all thread ranges must\n" );
printf( " be a multiple of bf, except for the range that contains\n" );
printf( " the edge case (if one exists). the blocking factor\n" );
printf( " would typically correspond to a register blocksize.\n" );
printf( " n_way: the number of ways of parallelism for which we are\n" );
printf( " partitioning (i.e.: the number of threads, or thread\n" );
printf( " groups).\n" );
printf( " part_dim: the dimension to partition:\n" );
printf( " 'm': partition the m dimension.\n" );
printf( " 'n': partition the n dimension.\n" );
printf( " go_fwd: the direction to partition:\n" );
printf( " '1': forward, e.g. left-to-right (part_dim = 'm') or\n" );
printf( " top-to-bottom (part_dim = 'n')\n" );
printf( " '0': backward, e.g. right-to-left (part_dim = 'm') or\n" );
printf( " bottom-to-top (part_dim = 'n')\n" );
printf( " NOTE: reversing the direction does not change the\n" );
printf( " subpartitions' widths, but it does change which end of\n" );
printf( " the index range receives the edge case, if it exists.\n" );
printf( " out: the type of output per thread-column:\n" );
printf( " 'w': the width (and area) of the thread's subpartition\n" );
printf( " 'r': the actual ranges of the thread's subpartition\n" );
printf( " where the start and end points of each range are\n" );
printf( " inclusive and exclusive, respectively.\n" );
printf( "\n" );
exit(1);
}
if ( m_input == 0 ) m_input = p_max;
if ( n_input == 0 ) n_input = p_max;
if ( part_dim_ch == 'm' ) { part_m_dim = TRUE; part_n_dim = FALSE; }
else { part_m_dim = FALSE; part_n_dim = TRUE; }
go_bwd = !go_fwd;
if ( uploa_ch == 'l' ) uploa = BLIS_LOWER;
else if ( uploa_ch == 'u' ) uploa = BLIS_UPPER;
else uploa = BLIS_DENSE;
if ( part_n_dim )
{
if ( bli_is_upper( uploa ) ) { t_begin = n_way-1; t_stop = -1; t_inc = -1; }
else /* if lower or dense */ { t_begin = 0; t_stop = n_way; t_inc = 1; }
}
else // if ( part_m_dim )
{
if ( bli_is_lower( uploa ) ) { t_begin = n_way-1; t_stop = -1; t_inc = -1; }
else /* if upper or dense */ { t_begin = 0; t_stop = n_way; t_inc = 1; }
}
printf( "\n" );
printf( " part: %3s doff: %3ld bf: %3ld output: %s\n",
( part_n_dim ? ( go_fwd ? "l2r" : "r2l" )
: ( go_fwd ? "t2b" : "b2t" ) ),
diagoffa, bf,
( out_ch == 'w' ? "width(area)" : "ranges" ) );
printf( " uplo: %3c nt: %3ld\n", uploa_ch, n_way );
printf( "\n" );
printf( " " );
for ( t = t_begin; t != t_stop; t += t_inc )
{
if ( part_n_dim )
{
if ( t == t_begin ) printf( "left... " );
else if ( t == t_stop-t_inc ) printf( " ...right" );
else printf( " " );
}
else // if ( part_m_dim )
{
if ( t == t_begin ) printf( "top... " );
else if ( t == t_stop-t_inc ) printf( " ...bottom" );
else printf( " " );
}
}
printf( "\n" );
printf( "%4c x %4c ", 'm', 'n' );
for ( t = t_begin; t != t_stop; t += t_inc )
{
printf( "%9s %lu ", "thread", t );
}
printf( "\n" );
printf( "-------------" );
for ( t = t_begin; t != t_stop; t += t_inc )
{
printf( "-------------" );
}
printf( "\n" );
for ( p = p_begin; p <= p_max; p += p_inc )
{
if ( m_input < 0 ) m = ( dim_t )p;
else m = ( dim_t )m_input;
if ( n_input < 0 ) n = ( dim_t )p;
else n = ( dim_t )n_input;
dt = BLIS_DOUBLE;
bli_obj_create( dt, m, n, 0, 0, &a );
bli_obj_set_struc( BLIS_TRIANGULAR, a );
bli_obj_set_uplo( uploa, a );
bli_obj_set_diag_offset( diagoffa, a );
bli_randm( &a );
printf( "%4lu x %4lu ", m, n );
for ( t = t_begin; t != t_stop; t += t_inc )
{
thrinfo.n_way = n_way;
thrinfo.work_id = t;
if ( part_n_dim && go_fwd )
area = bli_get_range_weighted_l2r( &thrinfo, &a, bf, &start, &end );
else if ( part_n_dim && go_bwd )
area = bli_get_range_weighted_r2l( &thrinfo, &a, bf, &start, &end );
else if ( part_m_dim && go_fwd )
area = bli_get_range_weighted_t2b( &thrinfo, &a, bf, &start, &end );
else // ( part_m_dim && go_bwd )
area = bli_get_range_weighted_b2t( &thrinfo, &a, bf, &start, &end );
width = end - start;
if ( out_ch == 'w' ) printf( "%4lu(%6lu) ", width, area );
else printf( "[%4lu,%4lu) ", start, end );
}
printf( "\n" );
bli_obj_free( &a );
}
bli_finalize();
return 0;
}
void libblis_test_trmv_check( obj_t* alpha,
obj_t* a,
obj_t* x,
obj_t* x_orig,
double* resid )
{
num_t dt = bli_obj_datatype( *x );
num_t dt_real = bli_obj_datatype_proj_to_real( *x );
dim_t m = bli_obj_vector_dim( *x );
uplo_t uploa = bli_obj_uplo( *a );
trans_t transa = bli_obj_conjtrans_status( *a );
obj_t a_local, y;
obj_t norm;
double junk;
//
// Pre-conditions:
// - a is randomized and triangular.
// - x is randomized.
// Note:
// - alpha should have a non-zero imaginary component in the
// complex cases in order to more fully exercise the implementation.
//
// Under these conditions, we assume that the implementation for
//
// x := alpha * transa(A) * x_orig
//
// is functioning correctly if
//
// fnorm( y - x )
//
// is negligible, where
//
// y = alpha * conja(A_dense) * x_orig
//
bli_obj_init_scalar( dt_real, &norm );
bli_obj_create( dt, m, 1, 0, 0, &y );
bli_obj_create( dt, m, m, 0, 0, &a_local );
bli_obj_set_struc( BLIS_TRIANGULAR, a_local );
bli_obj_set_uplo( uploa, a_local );
bli_obj_toggle_uplo_if_trans( transa, a_local );
bli_copym( a, &a_local );
bli_mktrim( &a_local );
bli_obj_set_struc( BLIS_GENERAL, a_local );
bli_obj_set_uplo( BLIS_DENSE, a_local );
bli_gemv( alpha, &a_local, x_orig, &BLIS_ZERO, &y );
bli_subv( x, &y );
bli_fnormv( &y, &norm );
bli_getsc( &norm, resid, &junk );
bli_obj_free( &y );
bli_obj_free( &a_local );
}
void libblis_test_syr_check
(
test_params_t* params,
obj_t* alpha,
obj_t* x,
obj_t* a,
obj_t* a_orig,
double* resid
)
{
num_t dt = bli_obj_dt( a );
num_t dt_real = bli_obj_dt_proj_to_real( a );
dim_t m_a = bli_obj_length( a );
obj_t xt, t, v, w;
obj_t rho, norm;
double junk;
//
// Pre-conditions:
// - x is randomized.
// - a is randomized and symmetric.
// Note:
// - alpha should have a non-zero imaginary component in the
// complex cases in order to more fully exercise the implementation.
//
// Under these conditions, we assume that the implementation for
//
// A := A_orig + alpha * conjx(x) * conjx(x)^T
//
// is functioning correctly if
//
// normf( v - w )
//
// is negligible, where
//
// v = A * t
// w = ( A_orig + alpha * conjx(x) * conjx(x)^T ) * t
// = A_orig * t + alpha * conjx(x) * conjx(x)^T * t
// = A_orig * t + alpha * conjx(x) * rho
// = A_orig * t + w
//
bli_mksymm( a );
bli_mksymm( a_orig );
bli_obj_set_struc( BLIS_GENERAL, a );
bli_obj_set_struc( BLIS_GENERAL, a_orig );
bli_obj_set_uplo( BLIS_DENSE, a );
bli_obj_set_uplo( BLIS_DENSE, a_orig );
bli_obj_scalar_init_detached( dt, &rho );
bli_obj_scalar_init_detached( dt_real, &norm );
bli_obj_create( dt, m_a, 1, 0, 0, &t );
bli_obj_create( dt, m_a, 1, 0, 0, &v );
bli_obj_create( dt, m_a, 1, 0, 0, &w );
bli_obj_alias_to( x, &xt );
libblis_test_vobj_randomize( params, TRUE, &t );
bli_gemv( &BLIS_ONE, a, &t, &BLIS_ZERO, &v );
bli_dotv( &xt, &t, &rho );
bli_mulsc( alpha, &rho );
bli_scal2v( &rho, x, &w );
bli_gemv( &BLIS_ONE, a_orig, &t, &BLIS_ONE, &w );
bli_subv( &w, &v );
bli_normfv( &v, &norm );
bli_getsc( &norm, resid, &junk );
bli_obj_free( &t );
bli_obj_free( &v );
bli_obj_free( &w );
}
