/* 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" void bli_trsm_ru_ker_var2 ( const obj_t* a, const obj_t* b, const obj_t* c, const cntx_t* cntx, const cntl_t* cntl, thrinfo_t* thread_par ) { const num_t dt = bli_obj_exec_dt( c ); const dim_t dt_size = bli_dt_size( dt ); doff_t diagoffb = bli_obj_diag_offset( b ); const pack_t schema_a = bli_obj_pack_schema( a ); const pack_t schema_b = bli_obj_pack_schema( b ); dim_t m = bli_obj_length( c ); dim_t n = bli_obj_width( c ); dim_t k = bli_obj_width( a ); const void* buf_a = bli_obj_buffer_at_off( a ); const inc_t cs_a = bli_obj_col_stride( a ); const dim_t pd_a = bli_obj_panel_dim( a ); const inc_t ps_a = bli_obj_panel_stride( a ); const void* buf_b = bli_obj_buffer_at_off( b ); const inc_t rs_b = bli_obj_row_stride( b ); const dim_t pd_b = bli_obj_panel_dim( b ); const inc_t ps_b = bli_obj_panel_stride( b ); void* buf_c = bli_obj_buffer_at_off( c ); const inc_t rs_c = bli_obj_row_stride( c ); const inc_t cs_c = bli_obj_col_stride( c ); // Grab the address of the internal scalar buffer for the scalar // attached to A (the non-triangular matrix). This will be the alpha // scalar used in the gemmtrsm subproblems (ie: the scalar that would // be applied to the packed copy of A prior to it being updated by // the trsm subproblem). This scalar may be unit, if for example it // was applied during packing. const void* buf_alpha1 = bli_obj_internal_scalar_buffer( a ); // Grab the address of the internal scalar buffer for the scalar // attached to C. This will be the "beta" scalar used in the gemm-only // subproblems that correspond to micro-panels that do not intersect // the diagonal. We need this separate scalar because it's possible // that the alpha attached to B was reset, if it was applied during // packing. const void* buf_alpha2 = bli_obj_internal_scalar_buffer( c ); // Alias some constants to simpler names. const dim_t MR = pd_a; const dim_t NR = pd_b; const dim_t PACKMR = cs_a; const dim_t PACKNR = rs_b; // Cast the micro-kernel address to its function pointer type. // NOTE: We use the lower-triangular gemmtrsm ukernel because, while // the current macro-kernel targets the "ru" case (right-side/upper- // triangular), it becomes lower-triangular after the kernel operation // is transposed so that all kernel instances are of the "left" // variety (since those are the only trsm ukernels that exist). gemmtrsm_ukr_ft gemmtrsm_ukr = bli_cntx_get_l3_vir_ukr_dt( dt, BLIS_GEMMTRSM_L_UKR, cntx ); gemm_ukr_ft gemm_ukr = bli_cntx_get_l3_vir_ukr_dt( dt, BLIS_GEMM_UKR, cntx ); const void* minus_one = bli_obj_buffer_for_const( dt, &BLIS_MINUS_ONE ); const char* a_cast = buf_a; const char* b_cast = buf_b; char* c_cast = buf_c; const char* alpha1_cast = buf_alpha1; const char* alpha2_cast = buf_alpha2; /* Assumptions/assertions: rs_a == 1 cs_a == PACKNR pd_a == NR ps_a == stride to next micro-panel of A rs_b == PACKMR cs_b == 1 pd_b == MR ps_b == stride to next micro-panel of B rs_c == (no assumptions) cs_c == (no assumptions) Note that MR/NR and PACKMR/PACKNR have been swapped to reflect the swapping of values in the control tree (ie: those values used when packing). This swapping is needed since we cast right-hand trsm in terms of transposed left-hand trsm. So, if we're going to be transposing the operation, then A needs to be packed with NR and B needs to be packed with MR (remember: B is the triangular matrix in the right-hand side parameter case). */ // Safety trap: Certain indexing within this macro-kernel does not // work as intended if both MR and NR are odd. if ( ( bli_is_odd( PACKMR ) && bli_is_odd( NR ) ) || ( bli_is_odd( PACKNR ) && bli_is_odd( MR ) ) ) bli_abort(); // If any dimension is zero, return immediately. if ( bli_zero_dim3( m, n, k ) ) return; // Safeguard: If the current panel of B is entirely below its diagonal, // it is implicitly zero. So we do nothing. if ( bli_is_strictly_below_diag_n( diagoffb, k, n ) ) return; // If there is a zero region to the left of where the diagonal of B // intersects the top edge of the panel, adjust the pointer to C and // treat this case as if the diagonal offset were zero. This skips over // the region that was not packed. (Note we assume the diagonal offset // is a multiple of MR; this assumption will hold as long as the cache // blocksizes are each a multiple of MR and NR.) if ( diagoffb > 0 ) { n -= diagoffb; c_cast += diagoffb * cs_c * dt_size; diagoffb = 0; } // If there is a zero region below where the diagonal of B intersects the // right side of the block, shrink it to prevent "no-op" iterations from // executing. if ( -diagoffb + n < k ) { k = -diagoffb + n; } // Check the k dimension, which needs to be a multiple of NR. If k // isn't a multiple of NR, we adjust it higher to satisfy the micro- // kernel, which is expecting to perform an NR x NR triangular solve. // This adjustment of k is consistent with what happened when B was // packed: all of its bottom/right edges were zero-padded, and // furthermore, the panel that stores the bottom-right corner of the // matrix has its diagonal extended into the zero-padded region (as // identity). This allows the trsm of that bottom-right panel to // proceed without producing any infs or NaNs that would infect the // "good" values of the corresponding block of A. if ( k % NR != 0 ) k += NR - ( k % NR ); // NOTE: We don't need to check that n is a multiple of PACKNR since we // know that the underlying buffer was already allocated to have an n // dimension that is a multiple of PACKNR, with the region between the // last column and the next multiple of NR zero-padded accordingly. thrinfo_t* thread = bli_thrinfo_sub_node( thread_par ); // Compute number of primary and leftover components of the m and n // dimensions. dim_t n_iter = n / NR; dim_t n_left = n % NR; dim_t m_iter = m / MR; dim_t m_left = m % MR; if ( n_left ) ++n_iter; if ( m_left ) ++m_iter; // Determine some increments used to step through A, B, and C. inc_t rstep_a = ps_a * dt_size; inc_t cstep_b = ps_b * dt_size; inc_t rstep_c = rs_c * MR * dt_size; inc_t cstep_c = cs_c * NR * dt_size; // Save the pack schemas of A and B to the auxinfo_t object. // NOTE: We swap the values for A and B since the triangular // "A" matrix is actually contained within B. auxinfo_t aux; bli_auxinfo_set_schema_a( schema_b, &aux ); bli_auxinfo_set_schema_b( schema_a, &aux ); const char* b1 = b_cast; char* c1 = c_cast; // Loop over the n dimension (NR columns at a time). for ( dim_t j = 0; j < n_iter; ++j ) { dim_t diagoffb_j = diagoffb - ( doff_t )j*NR; dim_t n_cur = ( bli_is_not_edge_f( j, n_iter, n_left ) ? NR : n_left ); const char* a1 = a_cast; char* c11 = c1; // Initialize our next panel of B to be the current panel of B. const char* b2 = b1; // If the current panel of B intersects the diagonal, use a // special micro-kernel that performs a fused gemm and trsm. // If the current panel of B resides above the diagonal, use a // a regular gemm micro-kernel. Otherwise, if it is below the // diagonal, it was not packed (because it is implicitly zero) // and so we do nothing. if ( bli_intersects_diag_n( diagoffb_j, k, NR ) ) { // Determine the offset to and length of the panel that was packed // so we can index into the corresponding location in A. dim_t off_b01 = 0; dim_t k_b0111 = bli_min( k, -diagoffb_j + NR ); dim_t k_b01 = k_b0111 - NR; dim_t off_b11 = k_b01; // Compute the addresses of the panel B10 and the triangular // block B11. const char* b01 = b1; const char* b11 = b1 + k_b01 * PACKNR * dt_size; //b11 = bli_ptr_inc_by_frac( b1, sizeof( ctype ), k_b01 * PACKNR, 1 ); // Compute the panel stride for the current micro-panel. inc_t ps_b_cur = k_b0111 * PACKNR; ps_b_cur += ( bli_is_odd( ps_b_cur ) ? 1 : 0 ); ps_b_cur *= dt_size; // Loop over the m dimension (MR rows at a time). for ( dim_t i = 0; i < m_iter; ++i ) { if ( bli_trsm_my_iter_rr( i, thread ) ){ dim_t m_cur = ( bli_is_not_edge_f( i, m_iter, m_left ) ? MR : m_left ); // Compute the addresses of the A10 panel and A11 block. const char* a10 = a1 + off_b01 * PACKMR * dt_size; const char* a11 = a1 + off_b11 * PACKMR * dt_size; // Compute the addresses of the next panels of A and B. const char* a2 = a1; //if ( bli_is_last_iter_rr( i, m_iter, 0, 1 ) ) if ( i + bli_thrinfo_num_threads(thread) >= m_iter ) { a2 = a_cast; b2 = b1 + ps_b_cur; if ( bli_is_last_iter_rr( j, n_iter, 0, 1 ) ) b2 = b_cast; } // Save addresses of next panels of A and B to the auxinfo_t // object. NOTE: We swap the values for A and B since the // triangular "A" matrix is actually contained within B. bli_auxinfo_set_next_a( b2, &aux ); bli_auxinfo_set_next_b( a2, &aux ); gemmtrsm_ukr ( m_cur, n_cur, k_b01, ( void* )alpha1_cast, ( void* )b01, ( void* )b11, ( void* )a10, ( void* )a11, c11, cs_c, rs_c, &aux, ( cntx_t* )cntx ); } a1 += rstep_a; c11 += rstep_c; } b1 += ps_b_cur; } else if ( bli_is_strictly_above_diag_n( diagoffb_j, k, NR ) ) { // Loop over the m dimension (MR rows at a time). for ( dim_t i = 0; i < m_iter; ++i ) { if ( bli_trsm_my_iter_rr( i, thread ) ){ dim_t m_cur = ( bli_is_not_edge_f( i, m_iter, m_left ) ? MR : m_left ); // Compute the addresses of the next panels of A and B. const char* a2 = a1; //if ( bli_is_last_iter_rr( i, m_iter, 0, 1 ) ) if ( i + bli_thrinfo_num_threads(thread) >= m_iter ) { a2 = a_cast; b2 = b1 + cstep_b; if ( bli_is_last_iter_rr( j, n_iter, 0, 1 ) ) b2 = b_cast; } // Save addresses of next panels of A and B to the auxinfo_t // object. NOTE: We swap the values for A and B since the // triangular "A" matrix is actually contained within B. bli_auxinfo_set_next_a( b2, &aux ); bli_auxinfo_set_next_b( a2, &aux ); // Invoke the gemm micro-kernel. gemm_ukr ( m_cur, n_cur, k, ( void* )minus_one, ( void* )b1, ( void* )a1, ( void* )alpha2_cast, c11, cs_c, rs_c, &aux, ( cntx_t* )cntx ); } a1 += rstep_a; c11 += rstep_c; } b1 += cstep_b; } c1 += cstep_c; } }