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/*
BLIS
An object-based framework for developing high-performance BLAS-like
libraries.
Copyright (C) 2014, The University of Texas at Austin
Copyright (C) 2018 - 2019, Advanced Micro Devices, Inc.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
met:
- Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
- Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
- Neither the name(s) of the copyright holder(s) nor the names of its
contributors may be used to endorse or promote products derived
from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
#include "blis.h"
#include "test_libblis.h"
// Static variables.
static char* op_str = "trsm_ukr";
static char* o_types = "m"; // c
static char* p_types = "u"; // uploa
static thresh_t thresh[BLIS_NUM_FP_TYPES] = { { 1e-04, 1e-05 }, // warn, pass for s
{ 1e-04, 1e-05 }, // warn, pass for c
{ 1e-13, 1e-14 }, // warn, pass for d
{ 1e-13, 1e-14 } }; // warn, pass for z
// Local prototypes.
void libblis_test_trsm_ukr_deps
(
thread_data_t* tdata,
test_params_t* params,
test_op_t* op
);
void libblis_test_trsm_ukr_experiment
(
test_params_t* params,
test_op_t* op,
iface_t iface,
char* dc_str,
char* pc_str,
char* sc_str,
unsigned int p_cur,
double* perf,
double* resid
);
void libblis_test_trsm_ukr_impl
(
iface_t iface,
side_t side,
obj_t* a,
obj_t* b,
obj_t* c,
cntx_t* cntx
);
void libblis_test_trsm_ukr_check
(
test_params_t* params,
side_t side,
obj_t* a,
obj_t* b,
obj_t* b_orig,
double* resid
);
void libblis_test_trsm_ukr_deps
(
thread_data_t* tdata,
test_params_t* params,
test_op_t* op
)
{
libblis_test_randv( tdata, params, &(op->ops->randv) );
libblis_test_randm( tdata, params, &(op->ops->randm) );
libblis_test_setv( tdata, params, &(op->ops->setv) );
libblis_test_normfv( tdata, params, &(op->ops->normfv) );
libblis_test_subv( tdata, params, &(op->ops->subv) );
libblis_test_scalv( tdata, params, &(op->ops->scalv) );
libblis_test_copym( tdata, params, &(op->ops->copym) );
libblis_test_scalm( tdata, params, &(op->ops->scalm) );
libblis_test_gemv( tdata, params, &(op->ops->gemv) );
libblis_test_trsv( tdata, params, &(op->ops->trsv) );
}
void libblis_test_trsm_ukr
(
thread_data_t* tdata,
test_params_t* params,
test_op_t* op
)
{
// Return early if this test has already been done.
if ( libblis_test_op_is_done( op ) ) return;
// Return early if operation is disabled.
if ( libblis_test_op_is_disabled( op ) ||
libblis_test_l3ukr_is_disabled( op ) ) return;
// Call dependencies first.
if ( TRUE ) libblis_test_trsm_ukr_deps( tdata, params, op );
// Execute the test driver for each implementation requested.
//if ( op->front_seq == ENABLE )
{
libblis_test_op_driver( tdata,
params,
op,
BLIS_TEST_SEQ_UKERNEL,
op_str,
p_types,
o_types,
thresh,
libblis_test_trsm_ukr_experiment );
}
}
// Import the register blocksizes used by the micro-kernel(s).
extern blksz_t* gemm_mr;
extern blksz_t* gemm_nr;
extern blksz_t* gemm_kr;
void libblis_test_trsm_ukr_experiment
(
test_params_t* params,
test_op_t* op,
iface_t iface,
char* dc_str,
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;
num_t datatype;
dim_t m, n;
char sc_a = 'c';
char sc_b = 'r';
side_t side = BLIS_LEFT;
uplo_t uploa;
obj_t a, b, c;
obj_t ap, bp;
obj_t c_save;
cntx_t* cntx;
// Query a context.
cntx = ( cntx_t* )bli_gks_query_cntx();
// Use the datatype of the first char in the datatype combination string.
bli_param_map_char_to_blis_dt( dc_str[0], &datatype );
// Fix m and n to MR and NR, respectively.
m = bli_cntx_get_blksz_def_dt( datatype, BLIS_MR, cntx );
n = bli_cntx_get_blksz_def_dt( datatype, BLIS_NR, cntx );
// 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.
// Create test operands (vectors and/or matrices).
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_a, m, m, &a );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_b, m, n, &b );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[0], m, n, &c );
libblis_test_mobj_create( params, datatype, BLIS_NO_TRANSPOSE,
sc_str[0], m, n, &c_save );
// Set the structure, uplo, and diagonal offset properties of A.
bli_obj_set_struc( BLIS_TRIANGULAR, &a );
bli_obj_set_uplo( uploa, &a );
bli_obj_set_diag_offset( 0, &a );
// Randomize A, make it densely triangular.
libblis_test_mobj_randomize( params, TRUE, &a );
libblis_test_mobj_load_diag( params, &a );
bli_mktrim( &a );
// Randomize B.
libblis_test_mobj_randomize( params, TRUE, &b );
// Randomize C and save C.
libblis_test_mobj_randomize( params, TRUE, &c );
bli_copym( &c, &c_save );
// Create pack objects for a and b, and pack them to ap and bp,
// respectively.
thrinfo_t* thread_a = libblis_test_pobj_create
(
BLIS_MR,
BLIS_MR,
BLIS_INVERT_DIAG,
BLIS_PACKED_ROW_PANELS,
BLIS_BUFFER_FOR_A_BLOCK,
&a, &ap,
cntx
);
// Set the diagonal offset of ap.
bli_obj_set_diag_offset( 0, &ap );
// Set the uplo field of ap since the default for packed objects is
// BLIS_DENSE, and the _ukernel() wrapper needs this information to
// know which set of micro-kernels (lower or upper) to choose from.
bli_obj_set_uplo( uploa, &ap );
#if 0
bli_printm( "a", &a, "%5.2f", "" );
bli_printm( "ap", &ap, "%5.2f", "" );
#endif
// Repeat the experiment n_repeats times and record results.
for ( i = 0; i < n_repeats; ++i )
{
bli_copym( &c_save, &c );
// Transpose B to B^T for packing.
bli_obj_induce_trans( &b );
thrinfo_t* thread_b = libblis_test_pobj_create
(
BLIS_NR,
BLIS_MR,
BLIS_NO_INVERT_DIAG,
BLIS_PACKED_COL_PANELS,
BLIS_BUFFER_FOR_B_PANEL,
&b, &bp,
cntx
);
// Transpose B^T back to B and Bp^T back to Bp.
bli_obj_induce_trans( &b );
bli_obj_induce_trans( &bp );
time = bli_clock();
libblis_test_trsm_ukr_impl( iface, side,
&ap, &bp, &c,
cntx );
time_min = bli_clock_min_diff( time_min, time );
// Free the control tree nodes and release their cached mem_t entries
// back to the memory broker.
bli_thrinfo_free( thread_b );
}
// Estimate the performance of the best experiment repeat.
*perf = ( 1.0 * m * m * n ) / time_min / FLOPS_PER_UNIT_PERF;
if ( bli_obj_is_complex( &b ) ) *perf *= 4.0;
// Perform checks.
libblis_test_trsm_ukr_check( params, side, &a, &c, &b, resid );
// Zero out performance and residual if output matrix is empty.
//libblis_test_check_empty_problem( &c, perf, resid );
// Free the control tree nodes and release their cached mem_t entries
// back to the memory broker.
bli_thrinfo_free( thread_a );
// 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_ukr_impl
(
iface_t iface,
side_t side,
obj_t* a,
obj_t* b,
obj_t* c,
cntx_t* cntx
)
{
switch ( iface )
{
case BLIS_TEST_SEQ_UKERNEL:
bli_trsm_ukernel( a, b, c, cntx );
break;
default:
libblis_test_printf_error( "Invalid interface type.\n" );
}
}
void libblis_test_trsm_ukr_check
(
test_params_t* params,
side_t side,
obj_t* a,
obj_t* b,
obj_t* b_orig,
double* resid
)
{
num_t dt = bli_obj_dt( b );
num_t dt_real = bli_obj_dt_proj_to_real( b );
dim_t m = bli_obj_length( b );
dim_t n = bli_obj_width( b );
obj_t norm;
obj_t t, v, w, z;
double junk;
//
// Pre-conditions:
// - a is randomized and triangular.
// - b_orig is randomized.
//
// Under these conditions, we assume that the implementation for
//
// B := inv(transa(A)) * B_orig (side = left)
// B := B_orig * inv(transa(A)) (side = right)
//
// is functioning correctly if
//
// normfv( v - z )
//
// is negligible, where
//
// v = B * t
//
// z = ( inv(transa(A)) * B ) * t (side = left)
// = inv(transa(A)) * B * t
// = inv(transa(A)) * w
//
// z = ( B * inv(transa(A)) ) * t (side = right)
// = B * tinv(ransa(A)) * t
// = B * w
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, m, 1, 0, 0, &w );
bli_obj_create( dt, m, 1, 0, 0, &z );
}
else // else 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, n, 1, 0, 0, &w );
bli_obj_create( dt, m, 1, 0, 0, &z );
}
libblis_test_vobj_randomize( params, TRUE, &t );
bli_gemv( &BLIS_ONE, b, &t, &BLIS_ZERO, &v );
#if 0
bli_printm( "a11", a, "%5.2f", "" );
#endif
#if 0
// Restore the diagonal of a11 to its original, un-inverted state
// (needed for trsv).
bli_invertd( a );
#endif
if ( bli_is_left( side ) )
{
bli_gemv( &BLIS_ONE, b_orig, &t, &BLIS_ZERO, &w );
bli_trsv( &BLIS_ONE, a, &w );
bli_copyv( &w, &z );
}
else
{
bli_copyv( &t, &w );
bli_trsv( &BLIS_ONE, a, &w );
bli_gemv( &BLIS_ONE, b_orig, &w, &BLIS_ZERO, &z );
}
bli_subv( &z, &v );
bli_normfv( &v, &norm );
bli_getsc( &norm, resid, &junk );
bli_obj_free( &t );
bli_obj_free( &v );
bli_obj_free( &w );
bli_obj_free( &z );
}