arithprog.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 follwing macos are defined:
// NSTART
// NMAX
// NSTEP
// DIM
// ITER
// CONFIRM
#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 (int argc, char** argv) {
using namespace std;
using namespace FFPACK;
typedef Givaro::ModularBalanced<double> Field;
Field F(2097169);
Givaro::Poly1Dom<Field> PolDom(F);
typedef Field::Element Element ;
size_t n=atoi(argv[1]); // starting value for the block size
size_t nmax=atoi(argv[2]); // max value for the block size
size_t step=atoi(argv[3]); // step for the search
size_t confirm = atoi(argv[4]); // number of increasing values in a row to trigger termination
size_t dim = atoi(argv[5]); // matrix dimension
size_t iter = atoi(argv[6]); // number of repetitions
size_t nbest=0;
TTimer chrono,tim;
Element * A = FFLAS::fflas_new (F, dim, dim);
Element * B = FFLAS::fflas_new (F, dim, dim);
size_t lda = dim;
RandomMatrix (F, dim, dim, A, lda);
FFLAS::fassign (F, dim, dim, A, dim, B, dim);
typedef typename Givaro::Poly1Dom<Field>::Element Polynomial;
time_t result = std::time(NULL);
cerr << std::endl
<< "---------------------------------------------------------------------"
<< std::endl << std::asctime(std::localtime(&result))
<< std::endl
<< "Threshold for ArithProg CharPoly algorithm";
F.write(cerr << " (using ") << ')' << endl << endl;
cerr << "Charpoly: n = "<<dim<<" degree seconds Gfops"<< std::endl;
double CurrTime;
double PrevTime = 1000000;
double BestTime = 1000000;
size_t increasing = 0;
Field::RandIter g(F);
do {
//warm up computation
std::list<Polynomial> charp_list;
try{
FFPACK::CharPoly (PolDom, charp_list, dim, A, lda, g, FFPACK::FfpackArithProgKrylovPrecond, n);
}
catch (CharpolyFailed){}
FFLAS::fassign (F, dim, dim, B, lda, A, lda);
chrono.clear();tim.clear();
for (size_t i=0;i<iter;i++){
chrono.start();
try{
FFPACK::CharPoly (PolDom, charp_list, dim, A, lda, g, FFPACK::FfpackArithProgKrylovPrecond, n);
}
catch (CharpolyFailed){ i--;}
chrono.stop();
tim+=chrono;
FFLAS::fassign (F, dim, dim, B, lda, A, lda);
}
CurrTime = tim.realtime()/iter;
cerr << " ";
cerr.width(4);
cerr << n;
cerr << " ";
cerr.width(15);
cerr << CurrTime;
cerr << " ";
cerr.width(15);
cerr << GFOPS(dim,dim,r, CurrTime) << " "<<std::endl;
if (BestTime > CurrTime){ // time decreasing -> keep increasing the block size
nbest = n;
BestTime = CurrTime;
increasing=0;
} else {
if (CurrTime > PrevTime) increasing ++;
else increasing = 0;
}
PrevTime = CurrTime;
n += step;
} while ( (increasing < confirm ) && (n < nmax));
cerr<<endl;
if (nbest != 0 ) {
cout << "#ifndef __FFLASFFPACK_ARITHPROG_THRESHOLD"<< endl;
cout << "#define __FFLASFFPACK_ARITHPROG_THRESHOLD" << ' ' << nbest << endl;
cerr << "defined __FFLASFFPACK_ARITHPROG_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