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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) 2008, 2014 the FFLAS-FFPACK group
*
* Written by Clement Pernet <Clement.Pernet@imag.fr>
* 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_fgemm/fgemm_classical.inl
* @brief Classical \f$2n^3\$f matrix multiplication.
* @warning The domain is supposed to be a field since some divisions are required for efficiency purposes
* An alternative has to be written for finite rings if necessary
*/
#ifndef __FFLASFFPACK_fflas_fflas_fgemm_classical_INL
#define __FFLASFFPACK_fflas_fflas_fgemm_classical_INL
#include <cmath>
#include "fflas-ffpack/field/field-traits.h"
#ifdef __FFLASFFPACK_HAVE_SSE4_1_INSTRUCTIONS
#include "fflas-ffpack/fflas/fflas_igemm/igemm.h"
#endif
#include "fflas-ffpack/utils/Matio.h"
namespace FFLAS {
// F is a field supporting delayed reductions
template<class Field>
inline void fgemm (const Field & F,
const FFLAS_TRANSPOSE ta,
const FFLAS_TRANSPOSE tb,
const size_t m, const size_t n,const size_t k,
const typename Field::Element alpha,
typename Field::ConstElement_ptr A, const size_t lda,
typename Field::ConstElement_ptr B, const size_t ldb,
const typename Field::Element beta,
typename Field::Element_ptr C, const size_t ldc,
MMHelper<Field, MMHelperAlgo::Classic, ModeCategories::LazyTag> & H)
{
// Input matrices are unreduced: need to figure out the best option between:
// - reducing them
// - making possibly more blocks (smaller kmax)
typedef MMHelper<Field, MMHelperAlgo::Classic, ModeCategories::LazyTag> HelperType;
typename HelperType::DelayedField::Element alphadf, betadf;
betadf = beta;
if (F.isMOne (alpha)) {
alphadf = -H.delayedField.one;
} else {
alphadf = F.one;
if (! F.isOne( alpha)) {
// Compute y = A*x + beta/alpha.y
// and after y *= alpha
FFLASFFPACK_check(!F.isZero(alpha));
typename Field::Element betadalpha;
F.init(betadalpha);
F.div (betadalpha, beta, alpha);
betadf = betadalpha;
}
}
if (F.isMOne(betadf)) betadf = -F.one;
size_t kmax = H.MaxDelayedDim (betadf);
H.checkA(F,ta, m,k,A,lda);
H.checkB(F,tb, k,n,B,ldb);
if (kmax <= k/2 || H.Aunfit() || H.Bunfit() ){
// Might as well reduce inputs
if (H.Amin < H.FieldMin || H.Amax>H.FieldMax){
H.initA();
freduce_constoverride (F, (ta==FflasNoTrans)?m:k, (ta==FflasNoTrans)?k:m, A, lda);
}
if (H.Bmin < H.FieldMin || H.Bmax>H.FieldMax){
H.initB();
freduce_constoverride (F, (tb==FflasNoTrans)?k:n, (tb==FflasNoTrans)?n:k, B, ldb);
}
if (H.Cmin < H.FieldMin || H.Cmax>H.FieldMax){
H.initC();
freduce (F, m, n, C, ldc);
}
kmax = H.MaxDelayedDim (betadf);
}
if (!kmax){
MMHelper<Field, MMHelperAlgo::Classic, ModeCategories::DefaultTag> HG(H);
H.initOut();
return fgemm (F, ta, tb, m,n,k,alpha, A, lda, B, ldb, beta, C, ldc, HG);
}
size_t k2 = std::min(k,kmax);
size_t nblock = k / kmax;
size_t remblock = k % kmax;
if (!remblock) {
remblock = kmax;
--nblock;
}
size_t shiftA, shiftB;
if (ta == FflasTrans) shiftA = k2*lda;
else shiftA = k2;
if (tb == FflasTrans) shiftB = k2;
else shiftB = k2*ldb;
typedef MMHelper<typename HelperType::DelayedField, MMHelperAlgo::Classic, ModeCategories::DefaultBoundedTag> DelayedHelper_t;
DelayedHelper_t Hfp(H);
typedef typename HelperType::DelayedField::Element DFElt;
typedef typename HelperType::DelayedField::Element_ptr DFElt_ptr;
typedef typename HelperType::DelayedField::ConstElement_ptr DFCElt_ptr;
fgemm (H.delayedField, ta, tb, m, n, remblock, alphadf,
(DFCElt_ptr)A +nblock*shiftA, lda,
(DFCElt_ptr)B +nblock*shiftB, ldb, betadf,
(DFElt_ptr)C, ldc, Hfp);
for (size_t i = 0; i < nblock; ++i) {
freduce (F, m, n, C, ldc);
Hfp.initC();
fgemm (H.delayedField, ta, tb, m, n, k2, alphadf,
(DFCElt_ptr)A +i*shiftA, lda,
(DFCElt_ptr)B +i*shiftB, ldb, F.one,
(DFElt_ptr)C, ldc, Hfp);
}
if (!F.isOne(alpha) && !F.isMOne(alpha)){
DFElt al; F.convert(al, alpha);
if (al<0) al = -al;
// This cast is needed when Outmin base type is int8/16_t,
// getting -Outmin returns a int, not the same base type.
if (std::max(static_cast<const decltype(Hfp.Outmin)&>(-Hfp.Outmin), Hfp.Outmax)
>Hfp.MaxStorableValue/al){
freduce (F, m, n, C, ldc);
Hfp.initOut();
}
fscalin(H.delayedField, m,n,alpha,(typename DelayedHelper_t::DelayedField_t::Element_ptr)C,ldc);
if (alpha>0){
H.Outmin = (const DFElt)(alpha) * Hfp.Outmin;
H.Outmax = (const DFElt)alpha * Hfp.Outmax;
} else {
H.Outmin = (const DFElt)alpha * Hfp.Outmax;
H.Outmax = (const DFElt)alpha * Hfp.Outmin;
}
}else {
H.Outmin = Hfp.Outmin;
H.Outmax = Hfp.Outmax;
}
H.checkOut(F,m,n,C,ldc);
}
} // FFLAS
namespace FFLAS {
// Classic multiplication over a generic finite field
template < class Field>
inline void fgemm (const Field& F,
const FFLAS_TRANSPOSE ta,
const FFLAS_TRANSPOSE tb,
const size_t m, const size_t n,const size_t k,
const typename Field::Element alpha,
typename Field::ConstElement_ptr A, const size_t lda,
typename Field::ConstElement_ptr B, const size_t ldb,
const typename Field::Element beta,
typename Field::Element_ptr C, const size_t ldc,
MMHelper<Field, MMHelperAlgo::Classic, ModeCategories::DefaultTag> & H)
{
if (F.isZero (alpha)) {
fscalin(F, m, n, beta, C, ldc);
return;
}
// Standard algorithm is performed over the Field, without conversion
if (F.isZero (beta))
fzero (F, m, n, C, ldc);
else {
typename Field::Element betadivalpha;
F.init(betadivalpha);
F.div (betadivalpha, beta, alpha);
fscalin(F,m,n,betadivalpha,C,ldc);
}
if (ta == FflasNoTrans)
if (tb == FflasNoTrans)
for (size_t i = 0; i < m; ++i)
for (size_t l = 0; l < k; ++l)
for (size_t j = 0; j < n; ++j)
F.axpyin (*(C+i*ldc+j), *(A+i*lda+l), *(B+l*ldb+j));
else
for (size_t i = 0; i < m; ++i)
for (size_t j = 0; j < n; ++j)
for (size_t l = 0; l < k; ++l)
F.axpyin (*(C+i*ldc+j), *(A+i*lda+l), *(B+j*ldb+l));
else
if (tb == FflasNoTrans)
for (size_t i = 0; i < m; ++i)
for (size_t l = 0; l < k; ++l)
for (size_t j = 0; j < n; ++j)
F.axpyin (*(C+i*ldc+j), *(A+l*lda+i), *(B+l*ldb+j));
else
for (size_t i = 0; i < m; ++i)
for (size_t j = 0; j < n; ++j)
for (size_t l = 0; l < k; ++l)
F.axpyin (*(C+i*ldc+j), *(A+l*lda+i), *(B+j*ldb+l));
fscalin(F,m,n,alpha,C,ldc);
}
template < class Field>
inline void fgemm (const Field& F,
const FFLAS_TRANSPOSE ta,
const FFLAS_TRANSPOSE tb,
const size_t m, const size_t n,const size_t k,
const typename Field::Element alpha,
typename Field::ConstElement_ptr A, const size_t lda,
typename Field::ConstElement_ptr B, const size_t ldb,
const typename Field::Element beta,
typename Field::Element_ptr C, const size_t ldc,
MMHelper<Field, MMHelperAlgo::Classic, ModeCategories::DefaultBoundedTag> & H)
{
MMHelper<Field, MMHelperAlgo::Classic, ModeCategories::DefaultTag> Hd(F,0);
fgemm (F,ta,tb,m,n,k,alpha,A,lda,B,ldb,beta,C,ldc,Hd);
H.setOutBounds (k,alpha,beta);
}
inline void fgemm (const Givaro::DoubleDomain& F,
const FFLAS_TRANSPOSE ta,
const FFLAS_TRANSPOSE tb,
const size_t m, const size_t n,const size_t k,
const Givaro::DoubleDomain::Element alpha,
Givaro::DoubleDomain::ConstElement_ptr Ad, const size_t lda,
Givaro::DoubleDomain::ConstElement_ptr Bd, const size_t ldb,
const Givaro::DoubleDomain::Element beta,
Givaro::DoubleDomain::Element_ptr Cd, const size_t ldc,
MMHelper<Givaro::DoubleDomain, MMHelperAlgo::Classic, ModeCategories::DefaultTag> &H)
{
FFLASFFPACK_check(lda);
FFLASFFPACK_check(ldb);
FFLASFFPACK_check(ldc);
cblas_dgemm (CblasRowMajor, (CBLAS_TRANSPOSE) ta, (CBLAS_TRANSPOSE) tb,
(int)m, (int)n, (int)k, (Givaro::DoubleDomain::Element) alpha,
Ad, (int)lda, Bd, (int)ldb, (Givaro::DoubleDomain::Element) beta, Cd, (int)ldc);
}
inline void fgemm (const Givaro::FloatDomain& F,
const FFLAS_TRANSPOSE ta,
const FFLAS_TRANSPOSE tb,
const size_t m, const size_t n,const size_t k,
const Givaro::FloatDomain::Element alpha,
Givaro::FloatDomain::ConstElement_ptr Ad, const size_t lda,
Givaro::FloatDomain::ConstElement_ptr Bd, const size_t ldb,
const Givaro::FloatDomain::Element beta,
Givaro::FloatDomain::Element_ptr Cd, const size_t ldc,
MMHelper<Givaro::FloatDomain, MMHelperAlgo::Classic,ModeCategories::DefaultTag> & H)
{
FFLASFFPACK_check(lda);
FFLASFFPACK_check(ldb);
FFLASFFPACK_check(ldc);
cblas_sgemm (CblasRowMajor, (CBLAS_TRANSPOSE) ta, (CBLAS_TRANSPOSE) tb,
(int)m, (int)n, (int)k, (Givaro::FloatDomain::Element) alpha,
Ad, (int)lda, Bd, (int)ldb, (Givaro::FloatDomain::Element) beta,Cd, (int)ldc);
}
inline void fgemm (const Givaro::ZRing<int64_t>& F,
const FFLAS_TRANSPOSE ta,
const FFLAS_TRANSPOSE tb,
const size_t m, const size_t n,const size_t k,
const int64_t alpha,
const int64_t * Ad, const size_t lda,
const int64_t * Bd, const size_t ldb,
const int64_t beta,
int64_t * Cd, const size_t ldc,
MMHelper<Givaro::ZRing<int64_t>, MMHelperAlgo::Classic, ModeCategories::DefaultTag> & H)
{
FFLASFFPACK_check(lda);
FFLASFFPACK_check(ldb);
FFLASFFPACK_check(ldc);
#if defined (__FFLASFFPACK_HAVE_SSE4_1_INSTRUCTIONS)
igemm_ (FflasRowMajor, ta, tb, (int)m, (int)n, (int)k, alpha, Ad, (int)lda, Bd, (int)ldb, beta, Cd, (int)ldc);
#else
for (size_t i=0; i<m; i++){
for (size_t j=0; j<n; j++)
Cd[i*ldc+j] *= beta;
for (size_t l=0; l<k; l++){
int64_t a = alpha* ((ta==FflasNoTrans) ? Ad[i*lda+l] : Ad[i+l*lda]);
for (size_t j=0; j<n; j++)
Cd[i*ldc+j] += a*((tb==FflasNoTrans) ? Bd[l*ldb+j] : Bd[l+j*ldb]);
}
}
#endif
}
} // FFLAS
#endif // __FFLASFFPACK_fflas_fflas_fgemm_classical_INL
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