Revision f4b57baedd8f5c3cf9fa0f056016119963903763 authored by Cyril Bouvier on 18 February 2019, 15:58:44 UTC, committed by Cyril Bouvier on 18 February 2019, 15:58:44 UTC
1 parent 0b4e1fc
test-frobenius.C
/*
* Copyright (C) FFLAS-FFPACK
* Written by Clément Pernet
* This file is Free Software and part of FFLAS-FFPACK.
*
* ========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========
*.
*/
//--------------------------------------------------------------------------
// Test for the krylov-elimination
//--------------------------------------------------------------------------
// usage: test-krylov-elim p A, to compute the rank profile of the (n+m)xn matrix B
// formed by the n identity vectors and the mxn matrix A over Z/pZ
//-------------------------------------------------------------------------
//-------------------------------------------------------------------------
#include <iostream>
#include <iomanip>
#include <list>
#include <vector>
#include "fflas-ffpack/utils/fflas_io.h"
#include "fflas-ffpack/utils/timer.h"
using namespace std;
#include "givaro/modular.h"
#include "fflas-ffpack/ffpack/ffpack.h"
using namespace FFPACK;
typedef Givaro::Modular<double> Field;
template<class T>
std::ostream& printvect(std::ostream& o, vector<T>& vect){
for(size_t i=0; i < vect.size()-1; ++i)
o << vect[i] << " " ;
return o << vect[vect.size()-1] << std::endl;
}
int main(int argc, char** argv){
size_t m,n;
cout<<setprecision(20);
if (argc!=4){
cerr<<"usage : test-frobenius <p> <A> <c>"<<endl
<<" to compute the frobenius normal form of the matrix A over Z/pZ, with conditonning parameter c"
<<endl;
exit(-1);
}
Field F( atoi(argv[1]) );
Field::Element* A;
FFLAS::ReadMatrix (argv[2],F,m,n,A);
size_t c = atoi(argv[3]);
std::list<vector<Field::Element> > frobForm;
FFLAS::Timer tim;
tim.clear();
tim.start();
FFPACK::CharpolyArithProg (F, frobForm, n, A, n, c);
tim.stop();
std::list<vector<Field::Element> >::iterator it = frobForm.begin();
while(it != frobForm.end()){
printvect (cout, *(it++));
}
cerr<<c<<" "<<tim.usertime()<<" "<<4.55*n*n/1000000.0*n/tim.usertime()<<endl;
FFLAS::fflas_delete( A);
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
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