+++ /dev/null
-/** @file normalization.cpp
- *
- * Rational function normalization test suite. */
-
-/*
- * 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
- */
-
-#include "ginac.h"
-
-#ifndef NO_NAMESPACE_GINAC
-using namespace GiNaC;
-#endif // ndef NO_NAMESPACE_GINAC
-
-static symbol w("w"), x("x"), y("y"), z("z");
-
-static unsigned check_normal(const ex &e, const ex &d)
-{
- ex en = e.normal();
- if (en.compare(d) != 0) {
- clog << "normal form of " << e << " erroneously returned "
- << en << " (should be " << d << ")" << endl;
- return 1;
- }
- return 0;
-}
-
-static unsigned normal1(void)
-{
- unsigned result = 0;
- ex e, d;
-
- // Expansion
- e = pow(x, 2) - (x+1)*(x-1) - 1;
- d = ex(0);
- result += check_normal(e, d);
-
- // Expansion inside functions
- e = sin(x*(x+1)-x) + 1;
- d = sin(pow(x, 2)) + 1;
- result += check_normal(e, d);
-
- // Fraction addition
- e = 2/x + y/3;
- d = (x*y + 6) / (x*3);
- result += check_normal(e, d);
-
- e = pow(x, -1) + x/(x+1);
- d = (pow(x, 2)+x+1)/(x*(x+1));
- result += check_normal(e, d);
-
- // Fraction cancellation
- e = numeric(1)/2 * z * (2*x + 2*y);
- d = z * (x + y);
- result += check_normal(e, d);
-
- e = numeric(1)/6 * z * (3*x + 3*y) * (2*x + 2*w);
- d = z * (x + y) * (x + w);
- result += check_normal(e, d);
-
- e = (3*x + 3*y) * (w/3 + z/3);
- d = (x + y) * (w + z);
- result += check_normal(e, d);
-
- e = (pow(x, 2) - pow(y, 2)) / pow(x-y, 3);
- d = (x + y) / (pow(x, 2) + pow(y, 2) - x * y * 2);
- result += check_normal(e, d);
-
- e = (pow(x, -1) + x) / (pow(x , 2) * 2 + 2);
- d = pow(x * 2, -1);
- result += check_normal(e, d);
-
- // Fraction cancellation with rational coefficients
- e = (pow(x, 2) - pow(y, 2)) / pow(x/2 - y/2, 3);
- d = (8 * x + 8 * y) / (pow(x, 2) + pow(y, 2) - x * y * 2);
- result += check_normal(e, d);
-
- // Fraction cancellation with rational coefficients
- e = z/5 * (x/7 + y/10) / (x/14 + y/20);
- d = 2*z/5;
- result += check_normal(e, d);
-
- // Distribution of powers
- e = pow(x/y, 2);
- d = pow(x, 2) / pow(y, 2);
- result += check_normal(e, d);
-
- // Distribution of powers (integer, distribute) and fraction addition
- e = pow(pow(x, -1) + x, 2);
- d = pow(pow(x, 2) + 1, 2) / pow(x, 2);
- result += check_normal(e, d);
-
- // Distribution of powers (non-integer, don't distribute) and fraction addition
- e = pow(pow(x, -1) + x, numeric(1)/2);
- d = pow((pow(x, 2) + 1) / x, numeric(1)/2);
- result += check_normal(e, d);
-
- // Replacement of functions with temporary symbols and fraction cancellation
- e = pow(sin(x), 2) - pow(cos(x), 2);
- e /= sin(x) + cos(x);
- d = sin(x) - cos(x);
- result += check_normal(e, d);
-
- // Replacement of non-integer powers with temporary symbols
- e = (pow(numeric(2), numeric(1)/2) * x + x) / x;
- d = pow(numeric(2), numeric(1)/2) + 1;
- result += check_normal(e, d);
-
- // Replacement of complex numbers with temporary symbols
- e = (x + y + x*I + y*I) / (x + y);
- d = 1 + I;
- result += check_normal(e, d);
-
- e = (pow(x, 2) + pow(y, 2)) / (x + y*I);
- d = e;
- result += check_normal(e, d);
-
- // More complex rational function
- e = (pow(x-y*2,4)/pow(pow(x,2)-pow(y,2)*4,2)+1)*(x+y*2)*(y+z)/(pow(x,2)+pow(y,2)*4);
- d = (y*2 + z*2) / (x + y*2);
- result += check_normal(e, d);
-
- return result;
-}
-
-unsigned normalization(void)
-{
- unsigned result = 0;
-
- cout << "checking rational function normalization..." << flush;
- clog << "---------rational function normalization:" << endl;
-
- result += normal1();
-
- if (!result) {
- cout << " passed ";
- clog << "(no output)" << endl;
- } else {
- cout << " failed ";
- }
- return result;
-}