/** @file exam_factor.cpp
 *
 *  Factorization test suite. */

/*
 *  GiNaC Copyright (C) 1999-2008 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, write to the Free Software
 *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 */

#include <iostream>
#include "ginac.h"
using namespace std;
using namespace GiNaC;

static symbol w("w"), x("x"), y("y"), z("z");

static unsigned check_factor(const ex& e)
{
	ex ee = e.expand();
	ex answer = factor(ee);
	if ( answer.expand() != ee || answer != e ) {
		clog << "factorization of " << e << " == " << ee << " gave wrong result: " << answer << endl;
		return 1;
	}
	return 0;
}

static unsigned exam_factor1()
{
	unsigned result = 0;
	ex e, d;
	symbol x("x");
	lst syms;
	syms.append(x);
	
	e = ex("1+x-x^3", syms);
	result += check_factor(e);

	e = ex("1+x^6+x", syms);
	result += check_factor(e);

	e = ex("1-x^6+x", syms);
	result += check_factor(e);

	e = ex("(1+x)^3", syms);
	result += check_factor(e);

	e = ex("(x+1)*(x+4)", syms);
	result += check_factor(e);

	e = ex("x^6-3*x^5+x^4-3*x^3-x^2-3*x+1", syms);
	result += check_factor(e);

	e = ex("(-1+x)^3*(1+x)^3*(1+x^2)", syms);
	result += check_factor(e);

	e = ex("-(-168+20*x-x^2)*(30+x)", syms);
	result += check_factor(e);

	e = ex("x^2*(x-3)^2*(x^3-5*x+7)", syms);
	result += check_factor(e);

	e = ex("-6*x^2*(x-3)", syms);
	result += check_factor(e);

	e = ex("x^16+11*x^4+121", syms);
	result += check_factor(e);

	e = ex("x^8-40*x^6+352*x^4-960*x^2+576", syms);
	result += check_factor(e);

	e = ex("x*(2+x^2)*(1+x+x^3+x^2+x^6+x^5+x^4)*(1+x)^2*(1-x+x^2)^2*(-1+x)", syms);
	result += check_factor(e);

	e = ex("(x+4+x^2-x^3+43*x^4)*(x+1-x^2-3*x^3+4*x^4)", syms);
	result += check_factor(e);

	e = ex("-x^2*(x-1)*(1+x^2)", syms);
	result += check_factor(e);

	e = x;
	result += check_factor(e);

	return result;
}

unsigned exam_factor()
{
	unsigned result = 0;

	cout << "examining polynomial factorization" << flush;

	result += exam_factor1(); cout << '.' << flush;

	return result;
}

int main(int argc, char** argv)
{
	return exam_factor();
}