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/*
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"
// An implementation that indexes through B with the assumption that all
// elements were broadcast (duplicated) by a factor of NP/NR.
#undef GENTFUNC
#define GENTFUNC( ctype, ch, opname, arch, suf, diagop ) \
\
void PASTEMAC3(ch,opname,arch,suf) \
( \
ctype* restrict a, \
ctype* restrict b, \
ctype* restrict c, inc_t rs_c, inc_t cs_c, \
auxinfo_t* restrict data, \
cntx_t* restrict cntx \
) \
{ \
const num_t dt = PASTEMAC(ch,type); \
\
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; \
\
/* Assume that the degree of duplication is equal to packnr / nr. */ \
const inc_t cs_b = packnr / nr; \
\
dim_t iter, i, j, l; \
dim_t n_behind; \
\
for ( iter = 0; iter < m; ++iter ) \
{ \
i = iter; \
n_behind = i; \
\
ctype* restrict alpha11 = a + (i )*rs_a + (i )*cs_a; \
ctype* restrict a10t = a + (i )*rs_a + (0 )*cs_a; \
ctype* restrict B0 = b + (0 )*rs_b + (0 )*cs_b; \
ctype* restrict b1 = b + (i )*rs_b + (0 )*cs_b; \
\
/* b1 = b1 - a10t * B0; */ \
/* b1 = b1 / alpha11; */ \
for ( j = 0; j < n; ++j ) \
{ \
ctype* restrict b01 = B0 + (0 )*rs_b + (j )*cs_b; \
ctype* restrict beta11 = b1 + (0 )*rs_b + (j )*cs_b; \
ctype* restrict gamma11 = c + (i )*rs_c + (j )*cs_c; \
ctype beta11c = *beta11; \
ctype rho11; \
\
/* beta11 = beta11 - a10t * b01; */ \
PASTEMAC(ch,set0s)( rho11 ); \
for ( l = 0; l < n_behind; ++l ) \
{ \
ctype* restrict alpha10 = a10t + (l )*cs_a; \
ctype* restrict beta01 = b01 + (l )*rs_b; \
\
PASTEMAC(ch,axpys)( *alpha10, *beta01, rho11 ); \
} \
PASTEMAC(ch,subs)( rho11, beta11c ); \
\
/* beta11 = beta11 / alpha11; */ \
/* NOTE: When preinversion is enabled, the INVERSE of alpha11
(1.0/alpha11) is stored during packing instead alpha11 so we
can multiply rather than divide. When preinversion is disabled,
alpha11 is stored and division happens below explicitly. */ \
PASTEMAC(ch,scals)( *alpha11, beta11c ); \
\
/* Output final result to matrix c. */ \
PASTEMAC(ch,copys)( beta11c, *gamma11 ); \
\
/* Store the local value back to b11. */ \
PASTEMAC(ch,copys)( beta11c, *beta11 ); \
} \
} \
}
#ifdef BLIS_ENABLE_TRSM_PREINVERSION
INSERT_GENTFUNC_BASIC3( trsmbb_l, BLIS_CNAME_INFIX, BLIS_REF_SUFFIX, scals )
#else
INSERT_GENTFUNC_BASIC3( trsmbb_l, BLIS_CNAME_INFIX, BLIS_REF_SUFFIX, invscals )
#endif
#undef GENTFUNC
#define GENTFUNC( ctype, ch, opname, arch, suf, diagop ) \
\
void PASTEMAC3(ch,opname,arch,suf) \
( \
ctype* restrict a, \
ctype* restrict b, \
ctype* restrict c, inc_t rs_c, inc_t cs_c, \
auxinfo_t* restrict data, \
cntx_t* restrict cntx \
) \
{ \
const num_t dt = PASTEMAC(ch,type); \
\
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; \
\
/* Assume that the degree of duplication is equal to packnr / nr. */ \
const inc_t cs_b = packnr / nr; \
\
dim_t iter, i, j, l; \
dim_t n_behind; \
\
for ( iter = 0; iter < m; ++iter ) \
{ \
i = m - iter - 1; \
n_behind = iter; \
\
ctype* restrict alpha11 = a + (i )*rs_a + (i )*cs_a; \
ctype* restrict a12t = a + (i )*rs_a + (i+1)*cs_a; \
ctype* restrict b1 = b + (i )*rs_b + (0 )*cs_b; \
ctype* restrict B2 = b + (i+1)*rs_b + (0 )*cs_b; \
\
/* b1 = b1 - a12t * B2; */ \
/* b1 = b1 / alpha11; */ \
for ( j = 0; j < n; ++j ) \
{ \
ctype* restrict beta11 = b1 + (0 )*rs_b + (j )*cs_b; \
ctype* restrict b21 = B2 + (0 )*rs_b + (j )*cs_b; \
ctype* restrict gamma11 = c + (i )*rs_c + (j )*cs_c; \
ctype beta11c = *beta11; \
ctype rho11; \
\
/* beta11 = beta11 - a12t * b21; */ \
PASTEMAC(ch,set0s)( rho11 ); \
for ( l = 0; l < n_behind; ++l ) \
{ \
ctype* restrict alpha12 = a12t + (l )*cs_a; \
ctype* restrict beta21 = b21 + (l )*rs_b; \
\
PASTEMAC(ch,axpys)( *alpha12, *beta21, rho11 ); \
} \
PASTEMAC(ch,subs)( rho11, beta11c ); \
\
/* beta11 = beta11 / alpha11; */ \
/* NOTE: When preinversion is enabled, the INVERSE of alpha11
(1.0/alpha11) is stored during packing instead alpha11 so we
can multiply rather than divide. When preinversion is disabled,
alpha11 is stored and division happens below explicitly. */ \
PASTEMAC(ch,diagop)( *alpha11, beta11c ); \
\
/* Output final result to matrix c. */ \
PASTEMAC(ch,copys)( beta11c, *gamma11 ); \
\
/* Store the local value back to b11. */ \
PASTEMAC(ch,copys)( beta11c, *beta11 ); \
} \
} \
}
#ifdef BLIS_ENABLE_TRSM_PREINVERSION
INSERT_GENTFUNC_BASIC3( trsmbb_u, BLIS_CNAME_INFIX, BLIS_REF_SUFFIX, scals )
#else
INSERT_GENTFUNC_BASIC3( trsmbb_u, BLIS_CNAME_INFIX, BLIS_REF_SUFFIX, invscals )
#endif
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