/* 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" void bli_ztrsm_l_template_noopt ( dcomplex* restrict a11, dcomplex* restrict b11, dcomplex* restrict c11, inc_t rs_c, inc_t cs_c, auxinfo_t* data, cntx_t* cntx ) { /* Template trsm_l micro-kernel implementation This function contains a template implementation for a double-precision complex trsm micro-kernel, coded in C, which can serve as the starting point for one to write an optimized micro-kernel on an arbitrary architecture. (We show a template implementation for only double-precision complex because the templates for the other three floating-point types would be nearly identical.) This micro-kernel performs the following operation: C11 := inv(A11) * B11 where A11 is MR x MR and lower triangular, B11 is MR x NR, and C11 is MR x NR. For more info, please refer to the BLIS website's wiki on kernels: https://github.com/flame/blis/wiki/KernelsHowTo and/or contact the blis-devel mailing list. -FGVZ */ const dim_t mr = bli_cntx_get_blksz_def_dt( dt, BLIS_MR, cntx ); const dim_t nr = bli_cntx_get_blksz_def_dt( dt, BLIS_NR, cntx ); 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 dim_t m = mr; const dim_t n = nr; const inc_t rs_a = 1; const inc_t cs_a = packmr; const inc_t rs_b = packnr; const inc_t cs_b = 1; dim_t iter, i, j, l; dim_t n_behind; dcomplex* restrict alpha11; dcomplex* restrict a10t; dcomplex* restrict alpha10; dcomplex* restrict X0; dcomplex* restrict x1; dcomplex* restrict x01; dcomplex* restrict chi01; dcomplex* restrict chi11; dcomplex* restrict gamma11; dcomplex rho11; for ( iter = 0; iter < m; ++iter ) { i = iter; n_behind = i; alpha11 = a11 + (i )*rs_a + (i )*cs_a; a10t = a11 + (i )*rs_a + (0 )*cs_a; X0 = b11 + (0 )*rs_b + (0 )*cs_b; x1 = b11 + (i )*rs_b + (0 )*cs_b; /* x1 = x1 - a10t * X0; */ /* x1 = x1 / alpha11; */ for ( j = 0; j < n; ++j ) { x01 = X0 + (0 )*rs_b + (j )*cs_b; chi11 = x1 + (0 )*rs_b + (j )*cs_b; gamma11 = c11 + (i )*rs_c + (j )*cs_c; /* chi11 = chi11 - a10t * x01; */ bli_zset0s( rho11 ); for ( l = 0; l < n_behind; ++l ) { alpha10 = a10t + (l )*cs_a; chi01 = x01 + (l )*rs_b; bli_zaxpys( *alpha10, *chi01, rho11 ); } bli_zsubs( rho11, *chi11 ); /* chi11 = chi11 / alpha11; */ /* NOTE: The INVERSE of alpha11 (1.0/alpha11) is stored instead of alpha11, so we can multiply rather than divide. We store the inverse of alpha11 intentionally to avoid expensive division instructions within the micro-kernel. */ bli_zscals( *alpha11, *chi11 ); /* Output final result to matrix C. */ bli_zcopys( *chi11, *gamma11 ); } } }