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/** @file time_lw_IJKL.cpp
*
* Tests I, J, K and L from the paper "Comparison of Polynomial-Oriented CAS"
* by Robert H. Lewis and Michael Wester. */
/*
* GiNaC Copyright (C) 1999-2026 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program 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 General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <https://www.gnu.org/licenses/>.
*/
#include "ginac.h"
#include "timer.h"
using namespace GiNaC;
#include <iostream>
#include <vector>
using namespace std;
static unsigned test(unsigned n)
{
unsigned result = 0;
timer cartier;
char name = (n==40?'I':(n==70?'K':'?'));
cout << "timing Lewis-Wester test " << name
<< " (invert rank " << n << " Hilbert)" << flush;
// Create a rank n Hilbert matrix:
matrix H(n,n);
for (unsigned r=0; r<n; ++r)
for (unsigned c=0; c<n; ++c)
H.set(r,c,numeric(1,r+c+1));
// invert it:
cartier.start();
matrix Hinv(n,n);
Hinv = H.inverse();
cout << ". passed ";
cout << cartier.read() << 's' << endl;
// check result:
name = (n==40?'J':(n==70?'L':'?'));
cout << "timing Lewis-Wester test " << name
<< " (check rank " << n << " Hilbert)" << flush;
cartier.reset();
matrix identity = H.mul(Hinv);
bool correct = true;
for (unsigned r=0; r<n; ++r)
for (unsigned c=0; c<n; ++c) {
if (r==c) {
if (identity(r,c)!=1)
correct = false;
} else {
if (identity(r,c)!=0)
correct = false;
}
}
if (!correct)
++result;
cout << cartier.read() << 's' << endl;
return result;
}
unsigned time_lw_IJKL()
{
unsigned result = 0;
// Tests I and J:
result += test(40);
// Tests K and L:
result += test(70);
return result;
}
extern void randomify_symbol_serials();
int main(int argc, char** argv)
{
randomify_symbol_serials();
cout << setprecision(2) << showpoint;
return time_lw_IJKL();
}
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