/* BLIS An object-based framework for developing high-performance BLAS-like libraries. Copyright (C) 2014, The University of Texas at Austin Copyright (C) 2018, 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 of The University of Texas at Austin 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 = "syr2k"; static char* o_types = "mmm"; // a b c static char* p_types = "uhh"; // uploc transa transb 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_syr2k_deps ( thread_data_t* tdata, test_params_t* params, test_op_t* op ); void libblis_test_syr2k_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 ); void libblis_test_syr2k_impl ( iface_t iface, obj_t* alpha, obj_t* a, obj_t* b, obj_t* beta, obj_t* c ); void libblis_test_syr2k_check ( test_params_t* params, obj_t* alpha, obj_t* a, obj_t* b, obj_t* beta, obj_t* c, obj_t* c_orig, double* resid ); void libblis_test_syr2k_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_symv( tdata, params, &(op->ops->symv) ); } void libblis_test_syr2k ( 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_l3_is_disabled( op ) ) return; // Call dependencies first. if ( TRUE ) libblis_test_syr2k_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_FRONT_END, op_str, p_types, o_types, thresh, libblis_test_syr2k_experiment ); } } void libblis_test_syr2k_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 syr2k, both alpha and beta may be complex since, unlike her2k, // C is symmetric in both the real and complex cases. bli_setsc( 0.8, 0.5, &alpha ); bli_setsc( -1.0, 0.5, &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_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. libblis_test_mobj_randomize( params, TRUE, &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 ); // 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_syr2k_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_syr2k_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_syr2k_impl ( iface_t iface, obj_t* alpha, obj_t* a, obj_t* b, obj_t* beta, obj_t* c ) { switch ( iface ) { case BLIS_TEST_SEQ_FRONT_END: bli_syr2k( alpha, a, b, beta, c ); //bli_syr2k4m( alpha, a, b, beta, c ); //bli_syr2k3m( alpha, a, b, beta, c ); break; default: libblis_test_printf_error( "Invalid interface type.\n" ); } } void libblis_test_syr2k_check ( test_params_t* params, obj_t* alpha, obj_t* a, obj_t* b, obj_t* beta, obj_t* c, obj_t* c_orig, double* resid ) { num_t dt = bli_obj_dt( c ); num_t dt_real = bli_obj_dt_proj_to_real( c ); dim_t m = bli_obj_length( c ); dim_t k = bli_obj_width_after_trans( a ); obj_t at, bt; obj_t norm; obj_t t, v, w1, w2, z; double junk; // // Pre-conditions: // - a is randomized. // - b is randomized. // - c_orig is randomized and symmetric. // 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 // // C := beta * C_orig + alpha * transa(A) * transb(B)^T + alpha * transb(B) * transa(A)^T // // is functioning correctly if // // normf( v - z ) // // is negligible, where // // v = C * t // z = ( beta * C_orig + alpha * transa(A) * transb(B)^T + alpha * transb(B) * transa(A)^T ) * t // = beta * C_orig * t + alpha * transa(A) * transb(B)^T * t + alpha * transb(B) * transa(A)^T * t // = beta * C_orig * t + alpha * transa(A) * transb(B)^T * t + alpha * transb(B) * w2 // = beta * C_orig * t + alpha * transa(A) * w1 + alpha * transb(B) * w2 // = beta * C_orig * t + alpha * transa(A) * w1 + z // = beta * C_orig * t + z // bli_obj_alias_with_trans( BLIS_TRANSPOSE, a, &at ); bli_obj_alias_with_trans( BLIS_TRANSPOSE, b, &bt ); bli_obj_scalar_init_detached( dt_real, &norm ); bli_obj_create( dt, m, 1, 0, 0, &t ); bli_obj_create( dt, m, 1, 0, 0, &v ); bli_obj_create( dt, k, 1, 0, 0, &w1 ); bli_obj_create( dt, k, 1, 0, 0, &w2 ); bli_obj_create( dt, m, 1, 0, 0, &z ); libblis_test_vobj_randomize( params, TRUE, &t ); bli_symv( &BLIS_ONE, c, &t, &BLIS_ZERO, &v ); bli_gemv( &BLIS_ONE, &at, &t, &BLIS_ZERO, &w2 ); bli_gemv( &BLIS_ONE, &bt, &t, &BLIS_ZERO, &w1 ); bli_gemv( alpha, a, &w1, &BLIS_ZERO, &z ); bli_gemv( alpha, b, &w2, &BLIS_ONE, &z ); bli_symv( beta, c_orig, &t, &BLIS_ONE, &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( &w1 ); bli_obj_free( &w2 ); bli_obj_free( &z ); }