/** @file genex.cpp
*
* Provides some routines for generating expressions that are later used as input
* in the consistency checks. */
/*
* GiNaC Copyright (C) 1999-2000 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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
// For rand() and friends:
#include
#include "ginac.h"
#ifndef NO_NAMESPACE_GINAC
using namespace GiNaC;
#endif // ndef NO_NAMESPACE_GINAC
/* Create a dense univariate random polynomial in x.
* (of the form 9 - 22*a - 17*a^2 + 14*a^3 + 7*a^4 + 7a^5 if degree==5) */
const ex
dense_univariate_poly(const symbol & x, unsigned degree)
{
ex unipoly;
for (unsigned i=0; i<=degree; ++i)
unipoly += numeric((rand()-RAND_MAX/2))*pow(x,i);
return unipoly;
}
/* Create a dense bivariate random polynomial in x1 and x2.
* (of the form 9 + 52*x1 - 27*x1^2 + 84*x2 + 7*x2^2 - 12*x1*x2 if degree ==2) */
const ex
dense_bivariate_poly(const symbol & x1, const symbol & x2, unsigned degree)
{
ex bipoly;
for (unsigned i1=0; i1<=degree; ++i1)
for (unsigned i2=0; i2<=degree-i1; ++i2)
bipoly += numeric((rand()-RAND_MAX/2))*pow(x1,i1)*pow(x2,i2);
return bipoly;
}