text: /*
  
     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                    = "gemmtrsm_ukr";
  static char*     o_types                   = "m";  // c11
  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_gemmtrsm_ukr_deps
       (
         thread_data_t* tdata,
         test_params_t* params,
         test_op_t*     op
       );
  
  void libblis_test_gemmtrsm_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_gemmtrsm_ukr_impl
       (
         iface_t   iface,
         side_t    side,
         obj_t*    alpha,
         obj_t*    a1x,
         obj_t*    a11,
         obj_t*    bx1,
         obj_t*    b11,
         obj_t*    c11,
         cntx_t*   cntx
       );
  
  void libblis_test_gemmtrsm_ukr_check
       (
         test_params_t* params,
         side_t         side,
         obj_t*         alpha,
         obj_t*         a1x,
         obj_t*         a11,
         obj_t*         bx1,
         obj_t*         b11,
         obj_t*         c11,
         obj_t*         c11_save,
         double*        resid
       );
  
  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
       );
  
  
  void libblis_test_gemmtrsm_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_gemmtrsm_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_gemmtrsm_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_gemmtrsm_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_gemmtrsm_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, k;
  	inc_t        ldap, ldbp;
  
  	char         sc_a = 'c';
  	char         sc_b = 'r';
  
  	side_t       side = BLIS_LEFT;
  	uplo_t       uploa;
  
  	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;
  
  	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 );
  
  	// 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_cntx_get_blksz_def_dt( datatype, BLIS_MR, cntx );
  	n = bli_cntx_get_blksz_def_dt( datatype, BLIS_NR, cntx );
  
  	// Also query PACKMR and PACKNR as the leading dimensions to ap and bp,
  	// respectively.
  	ldap = bli_cntx_get_blksz_max_dt( datatype, BLIS_MR, cntx );
  	ldbp = bli_cntx_get_blksz_max_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.
  	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.
  	libblis_test_mobj_randomize( params, TRUE, &a_big );
  	libblis_test_mobj_load_diag( params, &a_big );
  
  	// Normalize B and save.
  	libblis_test_mobj_randomize( params, TRUE, &b );
  
  	// Locate A1x/A11 (lower) or Ax1/A11 (upper), and then locate the
  	// corresponding B11 block of B.
  	if ( bli_obj_is_lower( &a_big ) )
  	{
  		bli_acquire_mpart_t2b( BLIS_SUBPART1, k, m, &a_big, &a );
  		bli_acquire_mpart_t2b( BLIS_SUBPART1, k, m, &b, &b11 );
  	}
  	else
  	{
  		bli_acquire_mpart_t2b( BLIS_SUBPART1, 0, m, &a_big, &a );
  		bli_acquire_mpart_t2b( BLIS_SUBPART1, 0, m, &b, &b11 );
  	}
  
  	// Copy B11 to C11, and save.
  	bli_copym( &b11, &c11 );
  	bli_copym( &c11, &c11_save );
  
  	rntm_t rntm;
  	bli_rntm_init( &rntm );
  	bli_pba_rntm_set_pba( &rntm );
  
  	// Create pack objects for a and b, and pack them to ap and bp,
  	// respectively.
  	cntl_t* cntl_a = libblis_test_pobj_create
  	(
  	  BLIS_MR,
  	  BLIS_MR,
  	  BLIS_INVERT_DIAG,
  	  BLIS_PACKED_ROW_PANELS,
  	  BLIS_BUFFER_FOR_A_BLOCK,
  	  &a, &ap,
  	  cntx,
  	  &rntm
  	);
  
  	// Set the diagonal offset of ap.
  	if ( bli_is_lower( uploa ) ) { bli_obj_set_diag_offset( k, &ap ); }
  	else                         { bli_obj_set_diag_offset( 0, &ap ); }
  
  	// Set the uplo field of ap since the default for packed objects is
  	// BLIS_DENSE, and the _make_subparts() routine needs this information
  	// to know how to initialize the subpartitions.
  	bli_obj_set_uplo( uploa, &ap );
  
  #if 0
  bli_printm( "a", &a, "%5.2f", "" );
  bli_printm( "ap", &ap, "%5.2f", "" );
  #endif
  
  	cntl_t* cntl_b = NULL;
  
  	// Repeat the experiment n_repeats times and record results.
  	for ( i = 0; i < n_repeats; ++i )
  	{
  		bli_copym( &c11_save, &c11 );
  
  		// Transpose B to B^T for packing.
  		bli_obj_induce_trans( &b );
  
  		cntl_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,
  		  &rntm
  		);
  
  		// Transpose B^T back to B and Bp^T back to Bp.
  		bli_obj_induce_trans( &b );
  		bli_obj_induce_trans( &bp );
  
  		// Create subpartitions from the a and b panels.
  		bli_gemmtrsm_ukr_make_subparts( k, &ap, &bp,
  		                                &a1xp, &a11p, &bx1p, &b11p );
  
  		// Set the uplo field of a11p 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, &a11p );
  
  		time = bli_clock();
  
  		libblis_test_gemmtrsm_ukr_impl( iface, side, &alpha,
  		                                &a1xp, &a11p, &bx1p, &b11p, &c11,
  		                                cntx );
  
  		time_min = bli_clock_min_diff( time_min, time );
  
  		// On the last pass, we must keep the packed B buffer checked out in order
  		// to perform the correctness check later.
  		if ( i < n_repeats - 1 )
  		{
  			// Free the control tree nodes and release their cached mem_t entries
  			// back to the memory broker.
  			bli_cntl_free( &rntm, cntl_b, &BLIS_PACKM_SINGLE_THREADED );
  		}
  	}
  
  	// 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;
  
  	// A hack to support subconfigs such as power9, which duplicate/broadcast
  	// more than one stored element per logical element in the packed copy of
  	// B. We assume that the ratio ldbp/n gives us the duplication factor used
  	// within B while the ratio ldap/m gives us the duplication factor used
  	// within A (not entirely a safe assumption, though I think it holds for
  	// all gemm ukernels currently supported within BLIS). This duplication
  	// factor must be used as the column stride of B (or the row stride of A)
  	// in order for the bli_gemmv() operation (called within the
  	// libblis_test_gemmtrsm_ukr_check()) to operate properly.
  	if ( ldbp / n > 1 )
  	{
  		const dim_t bfac = ldbp / n;
  		bli_obj_set_col_stride( bfac, &b11p );
  		bli_obj_set_col_stride( bfac, &bx1p );
  	}
  	if ( ldap / m > 1 )
  	{
  		const dim_t bfac = ldap / m;
  		bli_obj_set_row_stride( bfac, &a11p );
  		bli_obj_set_row_stride( bfac, &a1xp );
  	}
  
  	// Perform checks.
  	libblis_test_gemmtrsm_ukr_check( params, 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 );
  
  	// Free the control tree nodes and release their cached mem_t entries
  	// back to the pba.
  	bli_cntl_free( &rntm, cntl_a, &BLIS_PACKM_SINGLE_THREADED );
  	if ( cntl_b )
  	    bli_cntl_free( &rntm, cntl_b, &BLIS_PACKM_SINGLE_THREADED );
  
  	// Free the test objects.
  	bli_obj_free( &a_big );
  	bli_obj_free( &b );
  	bli_obj_free( &c11 );
  	bli_obj_free( &c11_save );
  }
  
  
  
  void libblis_test_gemmtrsm_ukr_impl
       (
         iface_t   iface,
         side_t    side,
         obj_t*    alpha,
         obj_t*    a1x,
         obj_t*    a11,
         obj_t*    bx1,
         obj_t*    b11,
         obj_t*    c11,
         cntx_t*   cntx
       )
  {
  	switch ( iface )
  	{
  		case BLIS_TEST_SEQ_UKERNEL:
  		bli_gemmtrsm_ukernel( alpha, a1x, a11, bx1, b11, c11, cntx );
  		break;
  
  		default:
  		libblis_test_printf_error( "Invalid interface type.\n" );
  	}
  }
  
  
  
  void libblis_test_gemmtrsm_ukr_check
       (
         test_params_t* params,
         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_dt( b11 );
  	num_t  dt_real = bli_obj_dt_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  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
  	//
  	//   normfv( 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_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 );
  	}
  
  	libblis_test_vobj_randomize( params, TRUE, &t );
  
  	bli_gemv( &BLIS_ONE, b11, &t, &BLIS_ZERO, &v );
  
  #if 0
  bli_printm( "a11", a11, "%5.2f", "" );
  #endif
  
  	// 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_normfv( &v, &norm );
  	bli_getsc( &norm, resid, &junk );
  
  	bli_obj_free( &t );
  	bli_obj_free( &v );
  	bli_obj_free( &w );
  	bli_obj_free( &z );
  }
  
  
  
  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 );
  }
  
  