https://hal.archives-ouvertes.fr/hal-02128878
Tip revision: 4201397494d9af8b687117e8ff4d85a8944f5c5a authored by Software Heritage on 11 June 2019, 10:15:02 UTC
hal: Deposit 298 in collection hal
hal: Deposit 298 in collection hal
Tip revision: 4201397
charpoly.C
/*
* Copyright (C) 2016 FFLAS-FFPACK group.
*
* Written by Clément 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========
*
*/
// Expect that the following macos are defined:
// VARIANT1
// VARIANT2
// NSTART
// NFIRSTSTEP
// NMAX
// NPREC
// ITER
#include "fflas-ffpack/fflas-ffpack-config.h"
#include "fflas-ffpack/utils/fflas_randommatrix.h"
#include <iostream>
#include <givaro/modular-balanced.h>
#include "fflas-ffpack/utils/timer.h"
#include "fflas-ffpack/ffpack/ffpack.h"
#ifdef __GIVARO_USE_OPENMP
typedef Givaro::OMPTimer TTimer;
#else
typedef Givaro::Timer TTimer;
#endif
#include <ctime>
#define CUBE(x) ((x)*(x)*(x))
#define GFOPS(m,n,r,t) (2.7*CUBE(double(n)/1000.0))/t // approximative flop count
int main () {
using namespace std;
using namespace FFPACK;
typedef Givaro::ModularBalanced<double> Field;
Field F(131071);
typedef Field::Element Element ;
size_t n=NSTART, nmax=NMAX, prec=NFIRSTSTEP, nbest=0, count=0;
TTimer chrono,tim;
bool bound=false;
Element * A = FFLAS::fflas_new (F, nmax, nmax);
Element * B = FFLAS::fflas_new (F, nmax, nmax);
size_t lda = nmax;
RandomMatrix (F, nmax, nmax, A, nmax);
FFLAS::fassign (F, nmax,nmax, A, nmax, B, nmax);
typedef typename Givaro::Poly1Dom<Field>::Element Polynomial;
time_t result = std::time(NULL);
string var1 = (VARIANT1 == FfpackLUK)?"LUKrylov":"Danilevskii";
string var2 = (VARIANT2 == FfpackLUK)?"LUKrylov":"ArithProg";
cerr << std::endl
<< "---------------------------------------------------------------------"
<< std::endl << std::asctime(std::localtime(&result))
<< std::endl
<< "Threshold between CharPoly algorithms "<<var1<<" <-> "<<var2 ;
F.write(cerr << " (using ") << ')' << endl << endl;
cerr << "Charpoly: n "<<var1<<" "<<var2 << std::endl;
cerr << " seconds Gfops seconds Gfops" << std::endl;
do {
double Var1Time, Var2Time;
int iter=ITER;
//warm up computation
Polynomial charp(n+1);
Givaro::Poly1Dom<Field> PolDom(F);
CharPoly (PolDom, charp, n, A, lda, VARIANT1);
FFLAS::fassign (F, n, n, B, lda, A, lda);
chrono.clear();tim.clear();
for (int i=0;i<iter;i++){
chrono.start();
CharPoly (PolDom, charp, n, A, lda, VARIANT1);
chrono.stop();
tim+=chrono;
FFLAS::fassign (F, n, n, B, lda, A, lda);
}
Var1Time = tim.realtime()/iter;
tim.clear();chrono.clear();
for (int i=0;i<iter;i++){
chrono.start();
CharPoly (PolDom, charp, n, A, lda, VARIANT2);
chrono.stop();
tim+=chrono;
FFLAS::fassign (F, n, n, B, lda, A, lda);
}
//FFLAS::fflas_delete(A);
//FFLAS::fflas_delete(B);
Var2Time = tim.realtime()/iter;
cerr << " ";
cerr.width(4);
cerr << n;
cerr << " ";
cerr.width(15);
cerr << Var1Time;
cerr << " ";
cerr.width(15);
cerr << GFOPS(n,n,r, Var1Time) << " ";
cerr.width(15);
cerr << Var2Time;
cerr << " ";
cerr.width(15);
cerr << GFOPS(n,n,r, Var2Time) << endl;
if (Var1Time > Var2Time){
count++;
if (count > 1){
nbest = n;
bound = true;
prec = prec >> 1;
n -= prec;
}
}
else{
count=0;
if (bound)
prec=prec>>1;
n+=prec;
}
} while ((prec > NPREC ) && (n < nmax));
cerr<<endl;
if (nbest != 0 ) {
cout << "#ifndef __FFLASFFPACK_CHARPOLY_"<<var1<<"_"<<var2<<"_THRESHOLD" << endl;
cout << "#define __FFLASFFPACK_CHARPOLY_"<<var1<<"_"<<var2<<"_THRESHOLD" << ' ' << nbest << endl;
cerr << "defined __FFLASFFPACK_CHARPOLY_"<<var1<<"_"<<var2<<"_THRESHOLD to " << nbest << "" << std::endl;
std::cout << "#endif" << endl << endl;
}
FFLAS::fflas_delete(A);
FFLAS::fflas_delete(B);
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