/* 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" // Completely generic gemm ukr implementation which checks MR/NR at // runtime. Very slow, but has to be used in certain cases. #undef GENTFUNC #define GENTFUNC( ctype, ch, opname, arch, suf ) \ \ static void PASTEMAC3(ch,opname,arch,suf) \ ( \ dim_t m, \ dim_t n, \ dim_t k, \ const void* alpha0, \ const void* a0, \ const void* b0, \ const void* beta0, \ void* c0, inc_t rs_c, inc_t cs_c, \ auxinfo_t* data, \ const cntx_t* cntx \ ) \ { \ const ctype* alpha = alpha0; \ const ctype* a = a0; \ const ctype* b = b0; \ const ctype* beta = beta0; \ ctype* c = c0; \ \ const num_t dt = PASTEMAC(ch,type); \ \ const inc_t packmr = bli_cntx_get_blksz_max_dt( dt, BLIS_MR, cntx ); \ const inc_t packnr = bli_cntx_get_blksz_max_dt( dt, BLIS_NR, cntx ); \ \ const inc_t rs_a = bli_cntx_get_blksz_def_dt( dt, BLIS_BBM, cntx ); \ const inc_t cs_a = packmr; \ \ const inc_t rs_b = packnr; \ const inc_t cs_b = bli_cntx_get_blksz_def_dt( dt, BLIS_BBN, cntx ); \ \ ctype ab[ BLIS_STACK_BUF_MAX_SIZE \ / sizeof( ctype ) ] \ __attribute__((aligned(BLIS_STACK_BUF_ALIGN_SIZE))); \ const inc_t rs_ab = 1; \ const inc_t cs_ab = m; \ \ /* Initialize the accumulator elements in ab to zero. */ \ for ( dim_t i = 0; i < m * n; ++i ) \ { \ PASTEMAC(ch,set0s)( *(ab + i) ); \ } \ \ /* Perform a series of k rank-1 updates into ab. */ \ for ( dim_t l = 0; l < k; ++l ) \ { \ ctype* restrict abij = ab; \ \ /* In an optimized implementation, these two loops over MR and NR are typically fully unrolled. */ \ for ( dim_t j = 0; j < n; ++j ) \ { \ ctype bj = *(b + j*cs_b); \ \ for ( dim_t i = 0; i < m; ++i ) \ { \ ctype ai = *(a + i*rs_a); \ \ PASTEMAC(ch,dots)( ai, bj, *abij ); \ \ abij += rs_ab; \ } \ } \ \ a += cs_a; \ b += rs_b; \ } \ \ /* Scale the result in ab by alpha. */ \ for ( dim_t i = 0; i < m * n; ++i ) \ { \ PASTEMAC(ch,scals)( *alpha, *(ab + i) ); \ } \ \ /* If beta is zero, overwrite c with the scaled result in ab. Otherwise, scale by beta and then add the scaled redult in ab. */ \ if ( PASTEMAC(ch,eq0)( *beta ) ) \ { \ PASTEMAC(ch,copys_mxn) \ ( \ m, \ n, \ ab, rs_ab, cs_ab, \ c, rs_c, cs_c \ ); \ } \ else \ { \ PASTEMAC(ch,xpbys_mxn) \ ( \ m, \ n, \ ab, rs_ab, cs_ab, \ beta, \ c, rs_c, cs_c \ ); \ } \ } INSERT_GENTFUNC_BASIC( gemm_gen, BLIS_CNAME_INFIX, BLIS_REF_SUFFIX ) // An implementation that attempts to facilitate emission of vectorized // instructions via constant loop bounds + #pragma omp simd directives. // If compile-time MR/NR are not available (indicated by BLIS_[MN]R_x = -1), // then the non-unrolled version (above) is used. #undef GENTFUNC #define GENTFUNC( ctype, ch, opname, arch, suf ) \ \ void PASTEMAC3(ch,opname,arch,suf) \ ( \ dim_t m, \ dim_t n, \ dim_t k, \ const void* alpha0, \ const void* a0, \ const void* b0, \ const void* beta0, \ void* c0, inc_t rs_c, inc_t cs_c, \ auxinfo_t* data, \ const cntx_t* cntx \ ) \ { \ const ctype* alpha = alpha0; \ const ctype* a = a0; \ const ctype* b = b0; \ const ctype* beta = beta0; \ ctype* c = c0; \ \ const dim_t mr = PASTECH(BLIS_MR_,ch); \ const dim_t nr = PASTECH(BLIS_NR_,ch); \ \ /* If either BLIS_MR_? or BLIS_NR_? was left undefined by the subconfig, the compiler can't fully unroll the MR and NR loop iterations below, which means there's no benefit to using this kernel over a general- purpose implementation instead. */ \ if ( mr == -1 || nr == -1 ) \ { \ PASTEMAC3(ch,gemm_gen,arch,suf) \ ( \ m, \ n, \ k, \ alpha, \ a, \ b, \ beta, \ c, rs_c, cs_c, \ data, \ cntx \ ); \ return; \ } \ \ ctype ab[ BLIS_STACK_BUF_MAX_SIZE \ / sizeof( ctype ) ] \ __attribute__((aligned(BLIS_STACK_BUF_ALIGN_SIZE))); \ const inc_t rs_ab = nr; \ const inc_t cs_ab = 1; \ \ const inc_t rs_a = PASTECH(BLIS_BBM_,ch); \ const inc_t cs_a = PASTECH(BLIS_PACKMR_,ch); \ const inc_t rs_b = PASTECH(BLIS_PACKNR_,ch); \ const inc_t cs_b = PASTECH(BLIS_BBN_,ch); \ \ \ /* Initialize the accumulator elements in ab to zero. */ \ PRAGMA_SIMD \ for ( dim_t i = 0; i < mr * nr; ++i ) \ { \ PASTEMAC(ch,set0s)( ab[ i ] ); \ } \ \ /* Perform a series of k rank-1 updates into ab. */ \ for ( dim_t l = 0; l < k; ++l ) \ { \ for ( dim_t i = 0; i < mr; ++i ) \ { \ PRAGMA_SIMD \ for ( dim_t j = 0; j < nr; ++j ) \ { \ PASTEMAC(ch,dots) \ ( \ a[ i*rs_a ], \ b[ j*cs_b ], \ ab[ i*rs_ab + j*cs_ab ] \ ); \ } \ } \ \ a += cs_a; \ b += rs_b; \ } \ \ /* Scale the result in ab by alpha. */ \ PRAGMA_SIMD \ for ( dim_t i = 0; i < mr * nr; ++i ) \ { \ PASTEMAC(ch,scals)( *alpha, ab[ i ] ); \ } \ \ /* Output/accumulate intermediate result ab based on the storage of c and the value of beta. */ \ if ( cs_c == 1 ) \ { \ /* C is row-stored. */ \ \ if ( PASTEMAC(ch,eq0)( *beta ) ) \ { \ for ( dim_t i = 0; i < m; ++i ) \ for ( dim_t j = 0; j < n; ++j ) \ PASTEMAC(ch,copys) \ ( \ ab[ i*rs_ab + j*cs_ab ], \ c [ i*rs_c + j*1 ] \ ); \ } \ else \ { \ for ( dim_t i = 0; i < m; ++i ) \ for ( dim_t j = 0; j < n; ++j ) \ PASTEMAC(ch,xpbys) \ ( \ ab[ i*rs_ab + j*cs_ab ], \ *beta, \ c [ i*rs_c + j*1 ] \ ); \ } \ } \ else \ { \ /* C is column-stored or general-stored. */ \ \ if ( PASTEMAC(ch,eq0)( *beta ) ) \ { \ for ( dim_t j = 0; j < n; ++j ) \ for ( dim_t i = 0; i < m; ++i ) \ PASTEMAC(ch,copys) \ ( \ ab[ i*rs_ab + j*cs_ab ], \ c [ i*rs_c + j*cs_c ] \ ); \ } \ else \ { \ for ( dim_t j = 0; j < n; ++j ) \ for ( dim_t i = 0; i < m; ++i ) \ PASTEMAC(ch,xpbys) \ ( \ ab[ i*rs_ab + j*cs_ab ], \ *beta, \ c [ i*rs_c + j*cs_c ] \ ); \ } \ } \ } INSERT_GENTFUNC_BASIC( gemm, BLIS_CNAME_INFIX, BLIS_REF_SUFFIX )