/usr/include/linbox/fflas/fflas_ftrsv.inl is in liblinbox-dev 1.1.6~rc0-4.1.
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/* fflas/fflas_ftrsv.inl
* Copyright (C) 2005 Clement Pernet
*
* Written by Clement Pernet <Clement.Pernet@imag.fr>
*
* See COPYING for license information.
*/
//---------------------------------------------------------------------
// ftrsv: TRiangular System solve with vector
// Computes X <- op(A^-1).X
// size of X is m
//---------------------------------------------------------------------
template<class Field>
inline void
FFLAS::ftrsv (const Field& F, const FFLAS_UPLO Uplo,
const FFLAS_TRANSPOSE TransA, const FFLAS_DIAG Diag,
const size_t N,const typename Field::Element * A, size_t lda,
typename Field::Element * X, int incX){
typename Field::Element * Xi,* Xj, * Ximax;
const typename Field::Element * Ai, * Aj;
if ( Uplo == FflasLower ){
if ( TransA == FflasTrans){
Ai = A+(N-1)*(lda+1); // bottom right entry of A
Ximax = Xi = X+(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*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+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*(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 );
}
}
}
}
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