/* BLIS An object-based framework for developing high-performance BLAS-like libraries. Copyright (C) 2014, The University of Texas at Austin 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" #undef GENTFUNC #define GENTFUNC( ctype, ch, opname ) \ \ void PASTEMAC(ch,opname) \ ( \ conj_t conja, \ pack_t schema, \ dim_t panel_dim, \ dim_t panel_dim_max, \ dim_t panel_len, \ dim_t panel_len_max, \ ctype* kappa, \ ctype* a, inc_t inca, inc_t lda, \ ctype* p, inc_t ldp, \ cntx_t* cntx \ ) \ { \ /* Note that we use panel_dim_max, not panel_dim, to query the packm kernel function pointer. This means that we always use the same kernel, even for edge cases. */ \ num_t dt = PASTEMAC(ch,type); \ ukr_t ker_id = bli_is_col_packed( schema ) ? BLIS_PACKM_NRXK_KER \ : BLIS_PACKM_MRXK_KER; \ \ PASTECH2(ch,opname,_ker_ft) f; \ \ /* Query the context for the packm kernel corresponding to the current panel dimension, or kernel id. If the id is invalid, the function will return NULL. */ \ f = bli_cntx_get_ukr_dt( dt, ker_id, cntx ); \ \ /* If there exists a kernel implementation for the micro-panel dimension provided, we invoke the implementation. Otherwise, we use scal2m. */ \ if ( f != NULL ) \ { \ /* Under normal circumstances, the packm kernel will copy over a panel_dim x panel_len submatrix of A into P. However, the kernel now handles zero-filling at edge cases, which typically consist of the outer (panel_dim_max - panel_dim) rows or columns of the micropanel. (Note that these rows/columns correspond to values beyond the edge of matrix A.) The kernel intrinsically knows its own panel_dim_max, since that corresponds to the packm micropanel's normal width (corresponding to the gemm microkernel's register blocksize (mr or nr). However, we *do* need to pass in panel_len_max because the bottom-right edge case of trsm_lu will need all elements above the extended diagonal and beyond (to the right of) the bottom-right element to be initialized to zero so the trsm portion of the computational kernel will operate with zeros for those iterations. For example, if trsm_lu is executed on an 10x10 triangular matrix, and the gemmtrsm kernel uses MR = 6, the computation will begin with the edge case, which is the bottom-right 4x4 upper triangular matrix. Code in bli_packm_tri_cxk() will extend the diagonal as identity into the remaining portion of the micropanel. But before that happens, the packm kernel must have set the 0's added in step (3) below. packm kernel packm kernel packm kernel packm_tri_cxk step 1: step 2: step 3: step 4: x x x x . . x x x x . . x x x x 0 0 x x x x 0 0 ? x x x . . ? x x x . . ? x x x 0 0 ? x x x 0 0 ? ? x x . . -> ? ? x x . . -> ? ? x x 0 0 -> ? ? x x 0 0 ? ? ? x . . ? ? ? x . . ? ? ? x 0 0 ? ? ? x 0 0 . . . . . . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 . . . . . . 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 x Copied from A; valid element. ? Copied from A, but value is unknown and unused. . Uninitialized. 0 Initialized to zero. 1 Initialized to one. NOTE: In step 5 (not shown), bli_packm_tri_cxk() sets the ?'s to zero. This is not needed to support trsm, but rather to support trmm. (Both use the same packing format and code.) In this case, panel_dim will be 4 because four rows of data are copied from A, panel_len will be 4 because those four rows span four columns of A, and panel_len_max will be 6 because there are a total of 6 columns that can be written to in the packed micropanel, 2 of which lie beyond the values copied from A. */ \ f \ ( \ conja, \ schema, \ panel_dim, \ panel_len, \ panel_len_max, \ kappa, \ a, inca, lda, \ p, ldp, \ cntx \ ); \ } \ else \ { \ /* Treat the micro-panel as panel_dim x panel_len and column-stored (unit row stride). */ \ PASTEMAC2(ch,scal2m,BLIS_TAPI_EX_SUF) \ ( \ 0, \ BLIS_NONUNIT_DIAG, \ BLIS_DENSE, \ ( trans_t )conja, \ panel_dim, \ panel_len, \ kappa, \ a, inca, lda, \ p, 1, ldp, \ cntx, \ /* The rntm_t* can safely be NULL as long as it's not used by scal2m_ex(). */ \ NULL \ ); \ \ /* If panel_dim < panel_dim_max, then we zero those unused rows. */ \ if ( panel_dim < panel_dim_max ) \ { \ const dim_t i = panel_dim; \ const dim_t m_edge = panel_dim_max - panel_dim; \ const dim_t n_edge = panel_len_max; \ ctype* restrict p_edge = p + (i )*1; \ \ PASTEMAC(ch,set0s_mxn) \ ( \ m_edge, \ n_edge, \ p_edge, 1, ldp \ ); \ } \ \ /* If panel_len < panel_len_max, then we zero those unused columns. */ \ if ( panel_len < panel_len_max ) \ { \ const dim_t j = panel_len; \ const dim_t m_edge = panel_dim_max; \ const dim_t n_edge = panel_len_max - panel_len; \ ctype* restrict p_edge = p + (j )*ldp; \ \ PASTEMAC(ch,set0s_mxn) \ ( \ m_edge, \ n_edge, \ p_edge, 1, ldp \ ); \ } \ } \ } INSERT_GENTFUNC_BASIC0( packm_cxk )