/** @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 #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); // x^37 + 1 e = ex("(1+x)*(1+x^2-x^29-x^11-x^25-x^9-x^35+x^20-x^3+x^16-x^15-x-x^13+x^28+x^24-x^33+x^8-x^19+x^36+x^12-x^27+x^10-x^23+x^18+x^14+x^34-x^31+x^32+x^30-x^5+x^26+x^4+x^22-x^21-x^7-x^17+x^6)", syms); result += check_factor(e); e = ex("(1+4*x)*x^2*(1-4*x+16*x^2)*(3+5*x+92*x^3)", syms); result += check_factor(e); e = ex("(77+11*x^3+25*x^2+27*x+102*x^4)*(85+57*x^3+92*x^2+29*x+66*x^4)", syms); result += check_factor(e); return result; } static unsigned exam_factor2() { unsigned result = 0; ex e, d; symbol x("x"), y("y"), z("z"); lst syms; syms = x, y, z; e = ex("x+y", syms); result += check_factor(e); e = ex("(x^2-y+1)*(x+y)", syms); result += check_factor(e); e = ex("-2*(x+y)*(x-y)", syms); result += check_factor(e); e = ex("(16+x^2*z^3)*(-17+3*x-5*z)*(2*x+3*z)*(x-y^2-z^3)", syms); result += check_factor(e); e = ex("(x-y*z)*(x-y^2-z^3)*(x+y+z)", syms); result += check_factor(e); e = ex("-(y^2-x+z^3)*x*(x+y+z)", syms); result += check_factor(e); e = ex("-316*(3*x-4*z)*(2*x+3*z)*(x+y)*(-1+x)", syms); result += check_factor(e); e = ex("(x+x^3+z^2)*(3*x-4*z)", syms); result += check_factor(e); e = ex("250*(-3+x)*(4*z-3*x)*(x^3+z^2+x)*x", syms); result += check_factor(e); e = ex("327*(x+z^2+x^3)*(3*x-4*z)*(-7+5*x-x^3)*(1+x+x^2)", syms); result += check_factor(e); e = ex("x-y^2-z^3", syms); result += check_factor(e); e = ex("-390*(7+3*x^4)*(2+x^2)*(x-z^3-y^2)", syms); result += check_factor(e); e = ex("55*(1+x)^2*(3*x-4*z)*(1+x+x^2)*(x+x^3+z^2)", syms); result += check_factor(e); e = ex("x+y*x-1", syms); result += check_factor(e); e = ex("390*(-1+x^6-x)*(7+3*x^4)*(2+x^2)*(y+x)*(-1+y-x^2)*(1+x^2+x)^2", syms); result += check_factor(e); e = ex("310*(y+x)*(-1+y-x^2)", syms); result += check_factor(e); return result; } unsigned exam_factor() { unsigned result = 0; cout << "examining polynomial factorization" << flush; result += exam_factor1(); cout << '.' << flush; result += exam_factor2(); cout << '.' << flush; return result; } int main(int argc, char** argv) { return exam_factor(); }