/usr/include/fflas-ffpack/fflas/fflas_ftrsm_src.inl is in fflas-ffpack-common 2.2.2-5.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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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) 2005 C. Pernet
* Written by C. Pernet
* ========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========
*/
#define Mjoin(pre, nam) my_join(pre, nam)
#define my_join(pre, nam) pre ## nam
#ifdef __FFLAS__TRANSPOSE
#define __FFLAS__Acolinc lda
#define __FFLAS__Arowinc 1
#ifdef __FFLAS__LOW
#define __FFLAS__UPPER
#else
#define __FFLAS__LOWER
#endif
#else
#ifdef __FFLAS__LOW
#define __FFLAS__LOWER
#else
#define __FFLAS__UPPER
#endif
#define __FFLAS__Acolinc 1
#define __FFLAS__Arowinc lda
#endif
#ifdef __FFLAS__LEFT
#define __FFLAS__SIDE Left
#define __FFLAS__Na M
#define __FFLAS__Nb N
#ifdef __FFLAS__TRANSPOSE
#define __FFLAS__Acopcolinc __FFLAS__Na
#define __FFLAS__Acoprowinc 1
#else // __FFLAS__NOTRANSPOSE
#define __FFLAS__Acopcolinc 1
#define __FFLAS__Acoprowinc __FFLAS__Na
#endif
#define __FFLAS__Mb nsplit
#define __FFLAS__Nb2 N
#define __FFLAS__Mb2 M-nsplit
#define __FFLAS__Mbrest nrestsplit
#define __FFLAS__Nbrest N
#define __FFLAS__Mupdate M-(i+1)*nsplit
#define __FFLAS__Nupdate N
#define __FFLAS__Anorminc __FFLAS__Acolinc
#define __FFLAS__Acopnorminc __FFLAS__Acopcolinc
#define __FFLAS__Bnorminc 1
#define __FFLAS__Bnormnext ldb
#define __FFLAS__Bdim N
#ifdef __FFLAS__LOWER
#define __FFLAS__Atriang A + i * nsplit * (lda + 1)
#define __FFLAS__Aupdate A + i * nsplit * (lda + 1) + nsplit*__FFLAS__Arowinc
#define __FFLAS__Arest A + (__FFLAS__Na - nrestsplit) * (lda + 1)
#define __FFLAS__Anormnext __FFLAS__Arowinc
#define __FFLAS__Acopnormnext __FFLAS__Acoprowinc
#define __FFLAS__Bupdate B + (i+1)*nsplit*ldb
#define __FFLAS__Brec B + i * nsplit * ldb
#define __FFLAS__Brest B + (M - nrestsplit) * ldb
#define __FFLAS__A1 A
#define __FFLAS__A2 A + nsplit * __FFLAS__Arowinc
#define __FFLAS__A3 A + nsplit * (lda + 1)
#define __FFLAS__B1 B
#define __FFLAS__B2 B + nsplit * ldb
#define __FFLAS__Normdim i
#else // __FFLAS__UPPER
#define __FFLAS__Atriang A + (__FFLAS__Na - (i + 1) * nsplit) * (lda + 1)
#define __FFLAS__Aupdate A + (__FFLAS__Na - (i + 1) * nsplit) * __FFLAS__Acolinc
#define __FFLAS__Arest A
#define __FFLAS__Anormnext lda + 1
#define __FFLAS__Acopnormnext __FFLAS__Na + 1
#define __FFLAS__Bupdate B
#define __FFLAS__Brec B + (M - (i + 1) * nsplit) * ldb
#define __FFLAS__Brest B
#define __FFLAS__A1 A + (__FFLAS__Na - nsplit) * (lda + 1)
#define __FFLAS__A2 A + (__FFLAS__Na - nsplit) * __FFLAS__Acolinc
#define __FFLAS__A3 A
#define __FFLAS__B1 B + (M - nsplit)*ldb
#define __FFLAS__B2 B
#define __FFLAS__Normdim __FFLAS__Na-i-1
#endif
#else // __FFLAS__RIGHT
#define __FFLAS__SIDE Right
#define __FFLAS__Na N
#define __FFLAS__Nb nsplit
#ifdef __FFLAS__TRANSPOSE
#define __FFLAS__Acopcolinc __FFLAS__Na
#define __FFLAS__Acoprowinc 1
#else // __FFLAS__NOTRANSPOSE
#define __FFLAS__Acopcolinc 1
#define __FFLAS__Acoprowinc __FFLAS__Na
#endif
#define __FFLAS__Mb M
#define __FFLAS__Mb2 M
#define __FFLAS__Nb2 N-nsplit
#define __FFLAS__Mbrest M
#define __FFLAS__Nbrest nrestsplit
#define __FFLAS__Mupdate M
#define __FFLAS__Nupdate N - (i + 1) * nsplit
#define __FFLAS__Anorminc __FFLAS__Arowinc
#define __FFLAS__Acopnorminc __FFLAS__Acoprowinc
#define __FFLAS__Bnorminc ldb
#define __FFLAS__Bnormnext 1
#define __FFLAS__Bdim M
#ifdef __FFLAS__UPPER
#define __FFLAS__Atriang A + i * nsplit * (lda + 1)
#define __FFLAS__Aupdate A + i * nsplit * (lda + 1) + nsplit * __FFLAS__Acolinc
#define __FFLAS__Arest A + (__FFLAS__Na - nrestsplit) * (lda + 1)
#define __FFLAS__Anormnext __FFLAS__Acolinc
#define __FFLAS__Acopnormnext __FFLAS__Acopcolinc
#define __FFLAS__Bupdate B + (i + 1) * nsplit
#define __FFLAS__Brec B + i * nsplit
#define __FFLAS__Brest B + (N - nrestsplit)
#define __FFLAS__A1 A
#define __FFLAS__A2 A + nsplit * __FFLAS__Acolinc
#define __FFLAS__A3 A + nsplit * (lda + 1)
#define __FFLAS__B1 B
#define __FFLAS__B2 B + nsplit
#define __FFLAS__Normdim i
#else // __FFLAS__LOWER
#define __FFLAS__Atriang A + (__FFLAS__Na - (i + 1) * nsplit) * (lda + 1)
#define __FFLAS__Aupdate A + (__FFLAS__Na - (i + 1) * nsplit) * __FFLAS__Arowinc
#define __FFLAS__Arest A
#define __FFLAS__Anormnext lda + 1
#define __FFLAS__Acopnormnext __FFLAS__Na + 1
#define __FFLAS__Bupdate B
#define __FFLAS__Brec B + (N - (i + 1) * nsplit)
#define __FFLAS__Brest B
#define __FFLAS__A1 A + (__FFLAS__Na - nsplit) * (lda + 1)
#define __FFLAS__A2 A + (__FFLAS__Na - nsplit) * __FFLAS__Arowinc
#define __FFLAS__A3 A
#define __FFLAS__B1 B + (N - nsplit)
#define __FFLAS__B2 B
#define __FFLAS__Normdim __FFLAS__Na - i -1
#endif
#endif
#ifdef __FFLAS__UP
#define __FFLAS__UPLO Upper
#else
#define __FFLAS__UPLO Lower
#endif
#ifdef __FFLAS__UNIT
#define __FFLAS__DIAG Unit
#else
#define __FFLAS__DIAG NonUnit
#endif
#ifdef __FFLAS__TRANSPOSE
#define __FFLAS__TRANS Trans
#else
#define __FFLAS__TRANS NoTrans
#endif
#ifdef __FFLAS__DOUBLE
#define __FFLAS__ELEMENT double
#define __FFLAS__DOMAIN Givaro::DoubleDomain
#define __FFLAS__BLAS_PREFIX d
#endif
#ifdef __FFLAS__FLOAT
#define __FFLAS__ELEMENT float
#define __FFLAS__DOMAIN Givaro::FloatDomain
#define __FFLAS__BLAS_PREFIX s
#endif
#ifdef __FFLAS__GENERIC
#define __FFLAS__ELEMENT Element
#endif
#ifdef __FFLAS_MULTIPRECISION
#define __FFLAS__ELEMENT FFPACK::rns_double_elt
#define __FFLAS__DOMAIN FFPACK::RNSInteger<FFPACK::rns_double>
#define __FFLAS__BLAS_PREFIX imp
#endif
#ifndef __FFLAS__GENERIC
template <>
class Mjoin(ftrsm, Mjoin(__FFLAS__SIDE, Mjoin(__FFLAS__UPLO, Mjoin(__FFLAS__TRANS, __FFLAS__DIAG))))<__FFLAS__ELEMENT>{
public:
// TRSM with delayed updates: assumes input in Zp and ensures output in Zp.
// The multiple MatMul updates (recursive sequence) are done over Z
template<class Field, class ParSeqTrait>
void delayed (const Field& F, const size_t M, const size_t N,
#ifdef __FFLAS__TRSM_READONLY
typename Field::ConstElement_ptr
#else //__FFLAS__TRSM_READONLY
typename Field::Element_ptr
#endif //__FFLAS__TRSM_READONLY
A, const size_t lda,
typename Field::Element_ptr B, const size_t ldb,
const size_t nblas, size_t nbblocsblas,
TRSMHelper<StructureHelper::Recursive, ParSeqTrait> & H)
{
//static __FFLAS__DOMAIN D(F); // is this safe ??
__FFLAS__DOMAIN D(F); // is this safe ??
if ( __FFLAS__Na <= nblas ){
freduce (F, M, N, B, ldb);
#define __FFLAS__Atrsm A
#define __FFLAS__Atrsm_lda lda
#ifndef __FFLAS__UNIT
#ifdef __FFLAS__TRSM_READONLY
//! @warning this is C99 (-Wno-vla)
//typename Field::Element Acop[__FFLAS__Na*__FFLAS__Na];
typename Field::Element_ptr Acop = FFLAS::fflas_new(F,__FFLAS__Na,__FFLAS__Na);
typename Field::Element_ptr Acopi = Acop;
#undef __FFLAS__Atrsm
#undef __FFLAS__Atrsm_lda
#define __FFLAS__Atrsm Acop
#define __FFLAS__Atrsm_lda __FFLAS__Na
#endif //__FFLAS__TRSM_READONLY
typename Field::Element inv;
#ifdef __FFLAS__TRSM_READONLY
typename Field::ConstElement_ptr
#else //__FFLAS__TRSM_READONLY
typename Field::Element_ptr
#endif //__FFLAS__TRSM_READONLY
Ai = A;
typename Field::Element_ptr Bi = B;
#ifdef __FFLAS__LEFT
#ifdef __FFLAS__UP
Ai += __FFLAS__Acolinc;
#ifdef __FFLAS__TRSM_READONLY
Acopi += __FFLAS__Acopcolinc;
#endif //__FFLAS__TRSM_READONLY
#endif //__FFLAS__UP
#endif //__FFLAS__LEFT
#ifdef __FFLAS__RIGHT
#ifdef __FFLAS__LOW
Ai += __FFLAS__Arowinc;
#ifdef __FFLAS__TRSM_READONLY
Acopi += __FFLAS__Acoprowinc;
#endif //__FFLAS__TRSM_READONLY
#endif //__FFLAS__LOW
#endif //__FFLAS__RIGHT
for (size_t i = 0; i < __FFLAS__Na; ++i){
#ifdef _FF_DEBUG
if ( F.isZero(*(A+i*(lda+1))) ) throw PreconditionFailed(__func__,__FILE__,__LINE__,"Triangular matrix not invertible");
#endif //_FF_DEBUG
F.inv (inv, *(A + i * (lda+1)));
#ifndef __FFLAS_MULTIPRECISION
#ifdef __FFLAS__TRSM_READONLY
fscal (F, __FFLAS__Normdim, inv, Ai, __FFLAS__Anorminc, Acopi, __FFLAS__Acopnorminc);
Acopi += __FFLAS__Acopnormnext;
#else //__FFLAS__TRSM_READONLY
fscalin (F, __FFLAS__Normdim, inv, Ai, __FFLAS__Anorminc);
#endif //__FFLAS__TRSM_READONLY
#endif //__FFLAS_MULTIPRECISION
FFLAS::fscalin (F, __FFLAS__Bdim, inv, Bi, __FFLAS__Bnorminc);
Ai += __FFLAS__Anormnext;
Bi += __FFLAS__Bnormnext;
}
#endif // __FFLAS__UNIT
#ifndef __FFLAS_MULTIPRECISION
Mjoin(cblas_,Mjoin(__FFLAS__BLAS_PREFIX,trsm))
(CblasRowMajor,
Mjoin (Cblas, __FFLAS__SIDE),
Mjoin (Cblas, __FFLAS__UPLO),
Mjoin (Cblas, __FFLAS__TRANS),
CblasUnit,
(int)M, (int)N, D.one, __FFLAS__Atrsm, (int)__FFLAS__Atrsm_lda, B, (int)ldb );
freduce (F, M, N, B, ldb);
#endif //__FFLAS_MULTIPRECISION
#ifndef __FFLAS__UNIT
Ai = A;
#ifdef __FFLAS__LEFT
#ifdef __FFLAS__UP
Ai += __FFLAS__Acolinc;
#endif //__FFLAS__UP
#endif //__FFLAS__LEFT
#ifdef __FFLAS__RIGHT
#ifdef __FFLAS__LOW
Ai += __FFLAS__Arowinc;
#endif //__FFLAS__LOW
#endif //__FFLAS__RIGHT
#ifndef __FFLAS__TRSM_READONLY
#ifndef __FFLAS_MULTIPRECISION
for (size_t i = 0; i < __FFLAS__Na; ++i){
fscalin( F, __FFLAS__Normdim, *(A + i * (lda+1)) , Ai, __FFLAS__Anorminc);
Ai += __FFLAS__Anormnext;
}
#endif //__FFLAS_MULTIPRECISION
#endif //__FFLAS__TRSM_READONLY
#ifdef __FFLAS__TRSM_READONLY
FFLAS::fflas_delete(Acop);
#endif //__FFLAS__TRSM_READONLY
#endif // __FFLAS__UNIT
} else { // __FFLAS__Na <= nblas
size_t nbblocsup = (nbblocsblas + 1) / 2;
size_t nsplit = nbblocsup * nblas;
this->delayed (F, __FFLAS__Mb, __FFLAS__Nb,
__FFLAS__A1, lda, __FFLAS__B1, ldb, nblas, nbblocsup, H);
#ifdef __FFLAS__RIGHT
fgemm (D, FflasNoTrans, Mjoin (Fflas, __FFLAS__TRANS),
__FFLAS__Mb2, __FFLAS__Nb2, nsplit, D.mOne,
__FFLAS__B1, ldb, __FFLAS__A2, lda,
F.one, __FFLAS__B2, ldb, H.parseq);
#else
fgemm (D, Mjoin (Fflas, __FFLAS__TRANS), FflasNoTrans,
__FFLAS__Mb2, __FFLAS__Nb2, nsplit, D.mOne,
__FFLAS__A2, lda, __FFLAS__B1, ldb,
F.one, __FFLAS__B2, ldb, H.parseq);
#endif //__FFLAS__RIGHT
this->delayed (F, __FFLAS__Mb2, __FFLAS__Nb2,
__FFLAS__A3, lda, __FFLAS__B2, ldb, nblas, nbblocsblas - nbblocsup, H);
}
}
template <class Field, class ParSeqTrait>
void operator () (const Field& F, const size_t M, const size_t N,
#ifdef __FFLAS__TRSM_READONLY
typename Field::ConstElement_ptr
#else
typename Field::Element_ptr
#endif //__FFLAS__TRSM_READONLY
A, const size_t lda,
typename Field::Element_ptr B, const size_t ldb,
TRSMHelper<StructureHelper::Recursive, ParSeqTrait> & H)
{
#if defined(__FFLAS_MULTIPRECISION) && defined(BENCH_PERF_FTRSM_MP)
FFLAS::Timer chrono;chrono.start();
#endif
if (!M || !N ) return;
//static __FFLAS__DOMAIN D(F);
__FFLAS__DOMAIN D(F);
size_t nblas = TRSMBound<Field> (F);
size_t ndel = DotProdBoundClassic (F, F.one);
ndel = (ndel / nblas)*nblas;
size_t nsplit = ndel;
size_t nbblocsplit = (__FFLAS__Na-1) / nsplit;
size_t nrestsplit = ((__FFLAS__Na-1) % nsplit) +1;
for ( size_t i = 0; i < nbblocsplit; ++i) {
this->delayed (F, __FFLAS__Mb, __FFLAS__Nb,
__FFLAS__Atriang, lda, __FFLAS__Brec, ldb, nblas, nsplit / nblas, H);
#ifdef __FFLAS__RIGHT
fgemm (F, FflasNoTrans, Mjoin (Fflas, __FFLAS__TRANS),
__FFLAS__Mupdate, __FFLAS__Nupdate, nsplit, F.mOne,
__FFLAS__Brec, ldb, __FFLAS__Aupdate, lda,
F.one, __FFLAS__Bupdate, ldb, H.parseq);
#else
fgemm (F, Mjoin (Fflas, __FFLAS__TRANS), FflasNoTrans,
__FFLAS__Mupdate, __FFLAS__Nupdate, nsplit, F.mOne,
__FFLAS__Aupdate, lda, __FFLAS__Brec, ldb,
F.one, __FFLAS__Bupdate, ldb, H.parseq);
#endif //__FFLAS__RIGHT
}
if (nrestsplit)
this->delayed (F, __FFLAS__Mbrest, __FFLAS__Nbrest,
__FFLAS__Arest, lda, __FFLAS__Brest, ldb, nblas, nrestsplit / nblas, H);
#if defined(__FFLAS_MULTIPRECISION) && defined(BENCH_PERF_FTRSM_MP)
chrono.stop();
F.t_trsm+=chrono.usertime();
#endif
}
}; //class ftrsm....
#else // __FFLAS__GENERIC
template <class Element>
class Mjoin(ftrsm, Mjoin(__FFLAS__SIDE, Mjoin(__FFLAS__UPLO, Mjoin(__FFLAS__TRANS, __FFLAS__DIAG)))) {
public:
template<class Field, class ParSeqTrait>
void operator() (const Field& F, const size_t M, const size_t N,
#ifdef __FFLAS__TRSM_READONLY
typename Field::ConstElement_ptr
#else
typename Field::Element_ptr
#endif
A, const size_t lda,
typename Field::Element_ptr B, const size_t ldb,
TRSMHelper<StructureHelper::Recursive, ParSeqTrait> & H)
{
if (__FFLAS__Na == 1){
#ifndef __FFLAS__UNIT
typename Field::Element inv;
F.init(inv);
#ifdef _FF_DEBUG
if ( F.isZero(*A) ) throw PreconditionFailed(__func__,__FILE__,__LINE__,"Triangular matrix not invertible");
#endif //_FF_DEBUG
F.inv(inv, *A);
FFLAS::fscalin(F, __FFLAS__Bdim, inv, B, __FFLAS__Bnorminc);
#endif //__FFLAS__UNIT
} else { // __FFLAS__Na > 1
size_t nsplit = __FFLAS__Na >> 1;
this->operator() (F, __FFLAS__Mb, __FFLAS__Nb, __FFLAS__A1, lda, __FFLAS__B1, ldb, H);
#ifdef __FFLAS__RIGHT
fgemm (F, FflasNoTrans , Mjoin (Fflas, __FFLAS__TRANS),
__FFLAS__Mb2, __FFLAS__Nb2, nsplit, F.mOne,
__FFLAS__B1, ldb, __FFLAS__A2, lda,
F.one, __FFLAS__B2, ldb, H.parseq);
#else //__FFLAS__RIGHT
fgemm (F, Mjoin (Fflas, __FFLAS__TRANS), FFLAS::FflasNoTrans,
__FFLAS__Mb2, __FFLAS__Nb2, nsplit, F.mOne,
__FFLAS__A2, lda, __FFLAS__B1, ldb,
F.one, __FFLAS__B2, ldb, H.parseq);
#endif //__FFLAS__RIGHT
this->operator() (F, __FFLAS__Mb2, __FFLAS__Nb2, __FFLAS__A3, lda, __FFLAS__B2, ldb, H);
}
}
};
#endif // __FFLAS__GENERIC
#ifdef __FFLAS__LOWER
#undef __FFLAS__LOWER
#else
#undef __FFLAS__UPPER
#endif
#undef __FFLAS__UPLO
#undef __FFLAS__DIAG
#undef __FFLAS__SIDE
#undef __FFLAS__TRANS
#undef __FFLAS__Na
#undef __FFLAS__Mb
#undef __FFLAS__Nb
#undef __FFLAS__Mbrest
#undef __FFLAS__Nbrest
#undef __FFLAS__Mupdate
#undef __FFLAS__Nupdate
#undef __FFLAS__Atriang
#undef __FFLAS__Aupdate
#undef __FFLAS__Arest
#undef __FFLAS__Bupdate
#undef __FFLAS__Brec
#undef __FFLAS__Brest
#undef __FFLAS__Bnorminc
#undef __FFLAS__Bnormnext
#undef __FFLAS__Anormnext
#undef __FFLAS__Acopnormnext
#undef __FFLAS__Anorminc
#undef __FFLAS__Acopnorminc
#undef __FFLAS__ELEMENT
#undef __FFLAS__BLAS_PREFIX
#undef __FFLAS__DOMAIN
#undef __FFLAS__A1
#undef __FFLAS__A2
#undef __FFLAS__A3
#undef __FFLAS__B1
#undef __FFLAS__B2
#undef __FFLAS__Nb2
#undef __FFLAS__Mb2
#undef __FFLAS__Bdim
#undef __FFLAS__Normdim
#undef __FFLAS__Acolinc
#undef __FFLAS__Arowinc
#undef __FFLAS__Acopcolinc
#undef __FFLAS__Acoprowinc
#undef __FFLAS__Atrsm_lda
#undef __FFLAS__Atrsm
#undef Mjoin
#undef my_join
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