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// vim:sts=8:sw=8:ts=8:noet:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s
/*
* Copyright (C) 2014 the LinBox group
*
* Written by Brice Boyer (briceboyer) <boyer.brice@gmail.com>
*
*
* ========LICENCE========
* This file is part of the library FFLAS-FFPACK.
*
* FFLAS-FFPACK is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
* ========LICENCE========
*.
*/
/** @file fflas/fflas_fgemm/winograd_ip.inl
* @ingroup MMalgos
* @brief Winograd implementation
* @bib ISSAC09 Scheduling
*/
#ifndef __FFLASFFPACK_fgemm_winograd_ip_INL
#define __FFLASFFPACK_fgemm_winograd_ip_INL
namespace FFLAS { namespace BLAS3 {
template < class Field, class FieldTrait >
inline void Winograd_LR_S (const Field& F,
const FFLAS_TRANSPOSE ta,
const FFLAS_TRANSPOSE tb,
const size_t mr, const size_t nr, const size_t kr,
const typename Field::Element alpha,
typename Field::Element_ptr A,const size_t lda,
typename Field::Element_ptr B,const size_t ldb,
const typename Field::Element beta,
typename Field::Element_ptr C, const size_t ldc,
const MMHelper<Field, MMHelperAlgo::Winograd, FieldTrait > & WH
)
{
MMHelper<Field, MMHelperAlgo::Winograd, FieldTrait> H = WH ;
H.recLevel = H.recLevel - 1 ;
FFLASFFPACK_check(F.isZero(beta));
// FFLASFFPACK_check(mr == nr && mr == kr);
FFLASFFPACK_check(kr == nr);
size_t lb, cb, la, ca;
typename Field::Element_ptr A11=A, A12, A21, A22;
typename Field::Element_ptr B11=B, B12, B21, B22;
typename Field::Element_ptr C11=C, C12=C+nr, C21=C+mr*ldc, C22=C21+nr;
if (ta == FflasTrans) {
A21 = A + mr;
A12 = A + kr*lda;
A22 = A12 + mr;
la = kr;
ca = mr;
}
else {
A12 = A + kr;
A21 = A + mr*lda;
A22 = A21 + kr;
la = mr;
ca = kr;
}
if (tb == FflasTrans) {
B21 = B + kr;
B12 = B + nr*ldb;
B22 = B12 + kr;
lb = nr;
cb = kr;
}
else {
B12 = B + nr;
B21 = B + kr*ldb;
B22 = B21 + nr;
lb = kr;
cb = nr;
}
// S3 = A11 - A21 in C11
fsub(F,la,ca,A11,lda,A21,lda,C11,ldc);
// S1 = A21 + A22 in A21
faddin(F,la,ca,A22,lda,A21,lda);
// T1 = B12 - B11 in C22
fsub(F,lb,cb,B12,ldb,B11,ldb,C22,ldc);
// T3 = B22 - B12 in B12
fsub(F,lb,cb,B22,ldb,B12,ldb,B12,ldb);
// P7 = S3 T3 in C21
fgemm2 (F, ta, tb, mr, nr, kr, alpha, C11, ldc, B12, ldb, F.zero, C21, ldc, H);
// S2 = S1 - A11 in C12
fsub(F,la,ca,A21,lda,A11,lda,C12,ldc);
// P1 = A11 B11 in C11
fgemm2 (F, ta, tb, mr, nr, kr, alpha, A11, lda, B11, ldb, F.zero, C11, ldc, H);
// T2 = B22 - T1 in B11
fsub(F,lb,cb,B22,ldb,C22,ldc,B11,ldb);
// P5 = S1 T1 in A11
fgemm2 (F, ta, tb, mr, nr, kr, alpha, A21, lda, C22, ldc, F.zero, A11, lda, H);
// T4 = T2 - B21 in C22
fsub(F,lb,cb,B11,ldb,B21,ldb,C22,ldc);
// P4 = A22 T4 in A21
fgemm2 (F, ta, tb, mr, nr, kr, alpha, A22, lda, C22, ldc, F.zero, A21, lda, H);
// S4 = A12 - S2 in A22
fsub(F,la,ca,A12,lda,C12,ldc,A22,lda);
// P6 = S2 T2 in C22
fgemm2 (F, ta, tb, mr, nr, kr, alpha, C12, ldc, B11, ldb, F.zero, C22, ldc, H);
// U2 = P1 + P6 in C22
faddin(F,mr,nr,C11,ldc,C22,ldc);
// P2 = A12 B21 in C12
fgemm2 (F, ta, tb, mr, nr, kr, alpha, A12, lda, B21, ldb, F.zero, C12, ldc, H);
// U1 = P1 + P2 in C11
faddin(F,mr,nr,C12,ldc,C11,ldc);
// U4 = U2 + P5 in C12
fadd(F,mr,nr,C22,ldc,A11,lda,C12,ldc);
// U3 = U2 + P7 in C22
faddin(F,mr,nr,C21,ldc,C22,ldc);
// U6 = U3 - P4 in C21
fsub(F,mr,nr,C22,ldc,A21,lda,C21,ldc);
// U7 = U3 + P5 in C22
faddin(F,mr,nr,A11,lda,C22,ldc);
// P3 = S4 B22 in A12
fgemm2 (F, ta, tb, mr, nr, kr, alpha, A22, lda, B22, ldb, F.zero, A12, lda, H);
// U5 = U4 + P3 in C12
faddin(F,mr,nr,A12,lda,C12,ldc);
} // WinogradIP
template < class Field, class FieldTrait >
inline void Winograd_L_S(const Field& F,
const FFLAS_TRANSPOSE ta,
const FFLAS_TRANSPOSE tb,
const size_t mr, const size_t nr, const size_t kr,
const typename Field::Element alpha,
typename Field::Element_ptr A,const size_t lda,
const typename Field::Element_ptr B,const size_t ldb,
const typename Field::Element beta,
typename Field::Element_ptr C, const size_t ldc,
const MMHelper<Field, MMHelperAlgo::Winograd, FieldTrait > & WH
)
{
MMHelper<Field, MMHelperAlgo::Winograd, FieldTrait > H = WH ;
H.recLevel = H.recLevel - 1 ;
FFLASFFPACK_check(F.isZero(beta));
FFLASFFPACK_check(kr == nr && kr <= mr);
size_t lb, cb, la, ca;
typename Field::Element_ptr A11=A, A12, A21, A22;
const typename Field::Element_ptr B11=B, B12, B21, B22;
typename Field::Element_ptr C11=C, C12=C+nr, C21=C+mr*ldc, C22=C21+nr;
if (ta == FflasTrans) {
A21 = A + mr;
A12 = A + kr*lda;
A22 = A12 + mr;
la = kr;
ca = mr;
}
else {
A12 = A + kr;
A21 = A + mr*lda;
A22 = A21 + kr;
la = mr;
ca = kr;
}
if (tb == FflasTrans) {
B21 = B + kr;
B12 = B + nr*ldb;
B22 = B12 + kr;
lb = nr;
cb = kr;
}
else {
B12 = B + nr;
B21 = B + kr*ldb;
B22 = B21 + nr;
lb = kr;
cb = nr;
}
// S3 = A11 - A21 in C22
fsub(F,la,ca,A11,lda,A21,lda,C22,ldc);
// S1 = A21 + A22 in A21
fadd(F,la,ca,A22,lda,A21,lda,A21,lda);
// S2 = S1 - A11 in C12
fsub(F,la,ca,A21,lda,A11,lda,C12,ldc);
// T1 = B12 - B11 in C21
fsub(F,lb,cb,B12,ldb,B11,ldb,C21,ldc);
// P1 = A11 B11 in C11
fgemm2 (F, ta, tb, mr, nr, kr, alpha, A11, lda, B11, ldb, F.zero, C11, ldc, H);
// T3 = B22 - B12 in A11
fsub(F,lb,cb,B22,ldb,B12,ldb,A11,lda);
// P7 = S3 T3 in X
typename Field::Element_ptr X = fflas_new (F, mr, nr);
fgemm2 (F, ta, tb, mr, nr, kr, alpha, C22, ldc, A11, lda, F.zero, X, nr, H);
// T2 = B22 - T1 in A11
fsub(F,lb,cb,B22,ldb,C21,ldc,A11,lda);
// P5 = S1 T1 in C22
fgemm2 (F, ta, tb, mr, nr, kr, alpha, A21, lda, C21, ldc, F.zero, C22, ldc, H);
// S4 = A12 - S2 in C21
fsub(F,la,ca,A12,lda,C12,ldc,C21,ldc);
// P3 = S4 B22 in A21
fgemm2 (F, ta, tb, mr, nr, kr, alpha, C21, ldc, B22, ldb, F.zero, A21, lda, H);
// P6 = S2 T2 in C21
fgemm2 (F, ta, tb, mr, nr, kr, alpha, C12, ldc, A11, lda, F.zero, C21, ldc, H);
// T4 = T2 - B21 in A11
fsubin(F,lb,cb,B21,ldb,A11,lda);
// U2 = P1 + P6 in C21
faddin(F,mr,nr,C11,ldc,C21,ldc);
// U4 = U2 + P5 in C12
fadd(F,mr,nr,C22,ldc,C21,ldc,C12,ldc);
// U3 = U2 + P7 in C21
faddin(F,mr,nr,X,nr,C21,ldc);
// U7 = U3 + P5 in C22
faddin(F,mr,nr,C21,ldc,C22,ldc);
// U5 = U4 + P3 in C12
faddin(F,la,ca,A21,lda,C12,ldc);
// P2 = A12 B21 in X
fgemm2 (F, ta, tb, mr, nr, kr, alpha, A12, lda, B21, ldb, F.zero, X, nr, H);
// U1 = P1 + P2 in C11
faddin(F,mr,nr,X,nr,C11,ldc);
fflas_delete (X);
// P4 = A22 T4 in A21
fgemm2 (F, ta, tb, mr, nr, kr, alpha, A22, lda, A11, lda, F.zero, A21, lda, H);
// U6 = U3 - P4 in C21
fsubin(F,mr,nr,A21,lda,C21,ldc);
} // WinogradIP
template < class Field, class FieldTrait >
inline void Winograd_R_S(const Field& F,
const FFLAS_TRANSPOSE ta,
const FFLAS_TRANSPOSE tb,
const size_t mr, const size_t nr, const size_t kr,
const typename Field::Element alpha,
const typename Field::Element_ptr A,const size_t lda,
typename Field::Element_ptr B,const size_t ldb,
const typename Field::Element beta,
typename Field::Element_ptr C, const size_t ldc,
const MMHelper<Field, MMHelperAlgo::Winograd, FieldTrait > & WH
)
{
MMHelper<Field, MMHelperAlgo::Winograd, FieldTrait > H = WH ;
H.recLevel = H.recLevel - 1 ;
FFLASFFPACK_check(F.isZero(beta));
FFLASFFPACK_check(kr == nr && kr <= mr);
size_t lb, cb, la, ca;
const typename Field::Element_ptr A11=A, A12, A21, A22;
typename Field::Element_ptr B11=B, B12, B21, B22;
typename Field::Element_ptr C11=C, C12=C+nr, C21=C+mr*ldc, C22=C21+nr;
if (ta == FflasTrans) {
A21 = A + mr;
A12 = A + kr*lda;
A22 = A12 + mr;
la = kr;
ca = mr;
}
else {
A12 = A + kr;
A21 = A + mr*lda;
A22 = A21 + kr;
la = mr;
ca = kr;
}
if (tb == FflasTrans) {
B21 = B + kr;
B12 = B + nr*ldb;
B22 = B12 + kr;
lb = nr;
cb = kr;
}
else {
B12 = B + nr;
B21 = B + kr*ldb;
B22 = B21 + nr;
lb = kr;
cb = nr;
}
// S3 = A11 - A21 in C22
fsub(F,la,ca,A11,lda,A21,lda,C22,ldc);
// S1 = A21 + A22 in C21
fadd(F,la,ca,A22,lda,A21,lda,C21,ldc);
// T1 = B12 - B11 in C12
fsub(F,lb,cb,B12,ldb,B11,ldb,C12,ldc);
// P1 = A11 B11 in C11
fgemm2 (F, ta, tb, mr, nr, kr, alpha, A11, lda, B11, ldb, F.zero, C11, ldc, H);
// S2 = S1 - A11 in B11
fsub(F,la,ca,C21,ldc,A11,lda,B11,ldb);
// T3 = B22 - B12 in B12
fsub(F,lb,cb,B22,ldb,B12,ldb,B12,ldb);
// P7 = S3 T3 in X
typename Field::Element_ptr X = fflas_new (F, mr, nr);
fgemm2 (F, ta, tb, mr, nr, kr, alpha, C22, ldc, B12, ldb, F.zero, X, nr, H);
// T2 = B22 - T1 in B12
fsub(F,lb,cb,B22,ldb,C12,ldc,B12,ldb);
// P5 = S1 T1 in C22
fgemm2 (F, ta, tb, mr, nr, kr, alpha, C21, ldc, C12, ldc, F.zero, C22, ldc, H);
// T4 = T2 - B21 in C12
fsub(F,lb,cb,B12,ldb,B21,ldb,C12,ldc);
// P6 = S2 T2 in C21
fgemm2 (F, ta, tb, mr, nr, kr, alpha, B11, ldb, B12, ldb, F.zero, C21, ldc, H);
// P4 = A22 T4 in B12
fgemm2 (F, ta, tb, mr, nr, kr, alpha, A22, lda, C12, ldc, F.zero, B12, ldb, H);
// S4 = A12 - S2 in B11
fsub(F,la,ca,A12,lda,B11,ldb,B11,ldb);
// U2 = P1 + P6 in C21
faddin(F,mr,nr,C11,ldc,C21,ldc);
// U4 = U2 + P5 in C12
fadd(F,mr,nr,C22,ldc,C21,ldc,C12,ldc);
// U3 = U2 + P7 in C21
faddin(F,mr,nr,X,nr,C21,ldc);
fflas_delete (X);
// U7 = U3 + P5 in C22
faddin(F,mr,nr,C21,ldc,C22,ldc);
// U6 = U3 - P4 in C21
fsubin(F,mr,nr,B12,ldb,C21,ldc);
// P3 = S4 B22 in B12
fgemm2 (F, ta, tb, mr, nr, kr, alpha, B11, ldb, B22, ldb, F.zero, B12, ldb, H);
// U5 = U4 + P3 in C12
faddin(F,la,ca,B12,ldb,C12,ldc);
// P2 = A12 B21 in B12
fgemm2 (F, ta, tb, mr, nr, kr, alpha, A12, lda, B21, ldb, F.zero, B12, ldb, H);
// U1 = P1 + P2 in C11
faddin(F,mr,nr,B12,ldb,C11,ldc);
} // WinogradIP
} // BLAS3
} // FFLAS
#endif // __FFLASFFPACK_fgemm_winograd_ip_INL
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