1 /** @file normalization.cpp
3 * Rational function normalization test suite. */
6 * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
8 * This program is free software; you can redistribute it and/or modify
9 * it under the terms of the GNU General Public License as published by
10 * the Free Software Foundation; either version 2 of the License, or
11 * (at your option) any later version.
13 * This program is distributed in the hope that it will be useful,
14 * but WITHOUT ANY WARRANTY; without even the implied warranty of
15 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16 * GNU General Public License for more details.
18 * You should have received a copy of the GNU General Public License
19 * along with this program; if not, write to the Free Software
20 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
23 #include <ginac/ginac.h>
24 using namespace GiNaC;
26 static symbol x("x"), y("y"), z("z");
28 static unsigned check_normal(const ex &e, const ex &d)
31 if (en.compare(d) != 0) {
32 clog << "normal form of " << e << " is " << en << " (should be " << d << ")" << endl;
38 static unsigned normal1(void)
44 e = pow(x, 2) - (x+1)*(x-1) - 1;
46 result += check_normal(e, d);
48 // Expansion inside functions
49 e = sin(x*(x+1)-x) + 1;
50 d = sin(pow(x, 2)) + 1;
51 result += check_normal(e, d);
54 e = numeric(2)/x + y/3;
56 result += check_normal(e, d);
59 e = pow(x, -1) + x/(x+1);
60 d = (pow(x, 2)+x+1)/(x*(x+1));
61 result += check_normal(e, d);
63 // Fraction cancellation
64 e = (pow(x, 2) - pow(y, 2)) / pow(x-y, 3);
65 d = (x + y) / (pow(x, 2) + pow(y, 2) - x * y * 2);
66 result += check_normal(e, d);
68 // Fraction cancellation
69 e = (pow(x, -1) + x) / (pow(x , 2) * 2 + 2);
71 result += check_normal(e, d);
73 // Distribution of powers
75 d = pow(x, 2) / pow(y, 2);
76 result += check_normal(e, d);
78 // Distribution of powers (integer, distribute) and fraction addition
79 e = pow(pow(x, -1) + x, 2);
80 d = pow(pow(x, 2) + 1, 2) / pow(x, 2);
81 result += check_normal(e, d);
83 // Distribution of powers (non-integer, don't distribute) and fraction addition
84 e = pow(pow(x, -1) + x, numeric(1)/2);
85 d = pow((pow(x, 2) + 1) / x, numeric(1)/2);
86 result += check_normal(e, d);
88 // Replacement of functions with temporary symbols and fraction cancellation
89 e = pow(sin(x), 2) - pow(cos(x), 2);
92 result += check_normal(e, d);
94 // Replacement of non-integer powers with temporary symbols
95 e = (pow(numeric(2), numeric(1)/2) * x + x) / x;
96 d = pow(numeric(2), numeric(1)/2) + 1;
97 result += check_normal(e, d);
99 // Replacement of complex numbers with temporary symbols
100 e = (x + y + x*I + y*I) / (x + y);
102 result += check_normal(e, d);
104 e = (pow(x, 2) + pow(y, 2)) / (x + y*I);
106 result += check_normal(e, d);
108 // More complex rational function
109 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);
110 d = (y*2 + z*2) / (x + y*2);
111 result += check_normal(e, d);
116 unsigned normalization(void)
120 cout << "checking rational function normalization..." << flush;
121 clog << "---------rational function normalization:" << endl;
127 clog << "(no output)" << endl;