2x2-ftrsv.C
/* Copyright (c) 2017 FFLAS-FFPACK
* Written by Jean-Guillaume Dumas <Jean-Guillaume.Dumas@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========
*/
#include <fflas-ffpack/fflas-ffpack-config.h>
#include <givaro/modular-balanced.h>
#include <fflas-ffpack/fflas/fflas.h>
#include <fflas-ffpack/utils/timer.h>
#include <fflas-ffpack/utils/fflas_io.h>
#include <fflas-ffpack/utils/args-parser.h>
#include <iostream>
#include <array>
using namespace FFLAS;
int main(int argc, char** argv) {
typedef Givaro::Modular<float> Ring;
Ring F(11);
Ring::Element L[4]{1,0,2,3};
Ring::Element B[2]{4,5};
size_t m(2);
FFLAS::WriteMatrix (std::cout << "L:=", F, m, m, L, m) << std::endl;
FFLAS::WriteMatrix (std::cout << "B:=", F, m, 1, B, 1) << std::endl;
// In place system solve
ftrsv (F, FflasLower,FflasNoTrans,FflasNonUnit, m, L, m, B, 1);
FFLAS::WriteMatrix (std::cout << "X:=", F, m, 1, B, 1) << std::endl;
std::cerr << "0 = L.X - B mod " << F.characteristic() << ';' << std::endl;
Ring::Element U[4]{3,2,0,5}, C[2]{4,7};
FFLAS::WriteMatrix (std::cout << "U:=", F, m, m, U, m) << std::endl;
FFLAS::WriteMatrix (std::cout << "C:=", F, m, 1, C, 1) << std::endl;
// In place system solve
ftrsv (F, FflasUpper, FflasNoTrans ,FflasNonUnit, m, U, m, B, 1);
FFLAS::WriteMatrix (std::cout << "X:=", F, m, 1, C, 1) << std::endl;
std::cerr << "0 = U.X - C mod " << F.characteristic() << ';' << std::endl;
Ring::Element D[2]{4,5};
FFLAS::WriteMatrix (std::cout << "L:=", F, m, m, L, m) << std::endl;
FFLAS::WriteMatrix (std::cout << "D:=", F, m, 1, D, 1) << std::endl;
// In place system solve
ftrsv (F, FflasLower,FflasTrans,FflasNonUnit, m, L, m, D, 1);
FFLAS::WriteMatrix (std::cout << "X:=", F, m, 1, D, 1) << std::endl;
std::cerr << "0 = Transpose(X).L - Transpose(D) mod " << F.characteristic() << ';' << std::endl;
Ring::Element E[2]{4,7};
FFLAS::WriteMatrix (std::cout << "U:=", F, m, m, U, m) << std::endl;
FFLAS::WriteMatrix (std::cout << "E:=", F, m, 1, E, 1) << std::endl;
// In place system solve
ftrsv (F, FflasUpper, FflasTrans ,FflasNonUnit, m, U, m, E, 1);
FFLAS::WriteMatrix (std::cout << "X:=", F, m, 1, E, 1) << std::endl;
std::cerr << "0 = Transpose(X).U - Transpose(E) mod " << F.characteristic() << ';' << std::endl;
return 0;
}
/* -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
// vim:sts=4:sw=4:ts=4:et:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s