/usr/include/fflas-ffpack/fflas/fflas_ftrsv.inl is in fflas-ffpack-common 2.2.2-5.
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// vim:sts=8:sw=8:ts=8:noet:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s
/* fflas/fflas_ftrsv.inl
* Copyright (C) 2005 Clement Pernet
*
* Written by Clement Pernet <Clement.Pernet@imag.fr>
*
*
* ========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========
*.
*/
#ifndef __FFLASFFPACK_ftrsv_INL
#define __FFLASFFPACK_ftrsv_INL
namespace FFLAS {
//---------------------------------------------------------------------
// ftrsv: TRiangular System solve with vector
// Computes X <- op(A^-1).X
// size of X is m
//---------------------------------------------------------------------
template<class Field>
inline void
ftrsv (const Field& F, const FFLAS_UPLO Uplo,
const FFLAS_TRANSPOSE TransA, const FFLAS_DIAG Diag,
const size_t N,typename Field::ConstElement_ptr A, size_t lda,
typename Field::Element_ptr X, int incX)
{
typename Field::Element_ptr Xi, Xj, Ximax;
typename Field::ConstElement_ptr Ai, Aj;
if ( Uplo == FflasLower ){
if ( TransA == FflasTrans){
Ai = A+(N-1)*(lda+1); // bottom right entry of A
Ximax = Xi = X+(int)(N-1)*incX;
for( ; Xi>=X; Ai-=lda+1,Xi-=incX ){
F.negin( *Xi );
for ( Xj = Xi+incX, Aj=Ai+lda; Xj<=Ximax;
Xj+=incX, Aj+=lda){
F.axpyin( *Xi, *Xj, *Aj );
}
if ( Diag==FflasNonUnit ){
F.divin(*Xi,*Ai);
}
F.negin( *Xi );
}
} // FflasTrans
else{
Ai = A;
Xi = X;
for( ; Xi<X+incX*(int)N; Ai+=lda+1,Xi+=incX ){
F.negin( *Xi );
for ( Xj = Xi-incX, Aj=Ai-1; Xj>=X;
Xj-=incX, Aj--){
F.axpyin( *Xi, *Xj, *Aj );
}
if ( Diag==FflasNonUnit )
F.divin(*Xi,*Ai);
F.negin( *Xi );
}
}
} // FflasLower
else{
if ( TransA == FflasTrans){
Ai = A;
Xi = X;
for( ; Xi<X+(int)N*incX; Ai+=lda+1,Xi+=incX ){
F.negin( *Xi );
for ( Xj = Xi-incX, Aj=Ai-lda; Xj>=X;
Xj-=incX, Aj-=lda){
F.axpyin( *Xi, *Xj, *Aj );
}
if ( Diag==FflasNonUnit )
F.divin(*Xi,*Ai);
F.negin( *Xi );
}
} // FflasTrans
else{
Ai = A+(lda+1)*(N-1);
Ximax = Xi = X+incX*(int)(N-1);
for( ; Xi>=X; Ai-=lda+1,Xi-=incX ){
F.negin( *Xi );
for ( Xj = Xi+incX, Aj=Ai+1; Xj<=Ximax;
Xj+=incX, Aj++){
F.axpyin( *Xi, *Xj, *Aj );
}
if ( Diag==FflasNonUnit )
F.divin(*Xi,*Ai);
F.negin( *Xi );
}
}
}
}
}
#endif // __FFLASFFPACK_ftrsv_INL
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