fflas-101_3.C
/* Copyright (c) FFLAS-FFPACK
* Written by Philippe LEDENT
* philippe.ledent@etu.univ-grenoble-alpes.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/fflas.h>
#include <givaro/modular.h>
#include <givaro/modular-balanced.h>
#include "fflas-ffpack/utils/fflas_io.h"
#include "fflas-ffpack/utils/fflas_randommatrix.h"
#include <iostream>
using namespace FFLAS;
int main(int argc, char** argv) {
std::cout << "" << std::endl;
typedef Givaro::Modular<float> Float_Field;
Float_Field F(101);
// Let m be a natural
const size_t m = 11, inca = 1;
// Let a be a m by 1 random vector
Float_Field::Element_ptr a;
a = fflas_new(F,m,1);
uint64_t seed = time(NULL);
typename Float_Field::RandIter G(F,seed);
frand(F,G,m,a,inca);
// Let n be natural
// Let b be a 1 by n random vector
const size_t n = 13, incb = 1;
Float_Field::Element_ptr b;
b = fflas_new(F,1,n);
frand(F,G,n,b,incb);
// Let A be an m by n matrix obtained by the outer product between a and b
const size_t lda = n;
Float_Field::Element_ptr A;
A = fflas_new(F,m,n);
fger(F,m,n,F.one,a,inca,b,incb,A,lda);
// Let C be an n by 1 vector such that C
const size_t incc = 1;
Float_Field::Element_ptr c;
c = fflas_new(F,m,1);
frand(F,G,m,c,incc);
// Let d be a scalar where d = b dot c
Float_Field::Element d;
d = fdot(F,n,b,incb,c,incc);
// Let e be a copy of a
Float_Field::Element_ptr e;
e = fflas_new(F,m,1);
fassign(F,m,1,a,inca,e,inca);
// Compute e := (d scalar e) - (A times c)
// Therefore e := -(A times c) + (d scalar e)
fgemv(F,FFLAS::FflasNoTrans,m,n,F.mOne,A,lda,c,incc,d,e,inca);
// If e is the zero vector then
// Is a the zero vector ?
bool res = fiszero(F,m,e,inca);
//Output
WriteMatrix(std::cout<<"a:=\n",F,m,1,a,inca)<<std::endl;
WriteMatrix(std::cout<<"b:= ",F,1,n,b,incb)<<std::endl;
WriteMatrix(std::cout<<"A:=\n",F,m,n,A,lda)<<std::endl;
WriteMatrix(std::cout<<"c:=\n",F,m,1,c,incc)<<std::endl;
//WriteMatrix(std::cout<<"d:=",F,1,1,d,1)<<std::endl;
WriteMatrix(std::cout<<"e:=\n",F,m,1,e,inca)<<std::endl;
std::cout<<"Is e the zero vector ?"<< std::endl;
if(res)
std::cout<<"TRUE"<< std::endl;
else
std::cout<<"FALSE"<< std::endl;
// note :
// There are many routines that create random matrices.
// They can be found in fflas-ffpack/utils/fflas_randommatrix.
// Clearing up the memory
fflas_delete(a);
fflas_delete(b);
fflas_delete(A);
fflas_delete(c);
fflas_delete(e);
}
/* -*- 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