1 /** @file normalization.cpp
3 * Rational function normalization test suite.
5 * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
7 * This program is free software; you can redistribute it and/or modify
8 * it under the terms of the GNU General Public License as published by
9 * the Free Software Foundation; either version 2 of the License, or
10 * (at your option) any later version.
12 * This program is distributed in the hope that it will be useful,
13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 * GNU General Public License for more details.
17 * You should have received a copy of the GNU General Public License
18 * along with this program; if not, write to the Free Software
19 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
22 #include <ginac/ginac.h>
24 static symbol x("x"), y("y"), z("z");
26 static unsigned check_normal(const ex &e, const ex &d)
29 if (en.compare(d) != 0) {
30 clog << "normal form of " << e << " is " << en << " (should be " << d << ")" << endl;
36 static unsigned normal1(void)
42 e = pow(x, 2) - (x+1)*(x-1) - 1;
44 result += check_normal(e, d);
46 // Expansion inside functions
47 e = sin(x*(x+1)-x) + 1;
48 d = sin(pow(x, 2)) + 1;
49 result += check_normal(e, d);
52 e = numeric(2)/x + y/3;
54 result += check_normal(e, d);
57 e = pow(x, -1) + x/(x+1);
58 d = (pow(x, 2)+x+1)/(x*(x+1));
59 result += check_normal(e, d);
61 // Fraction cancellation
62 e = (pow(x, 2) - pow(y, 2)) / pow(x-y, 3);
63 d = (x + y) / (pow(x, 2) + pow(y, 2) - x * y * 2);
64 result += check_normal(e, d);
66 // Fraction cancellation
67 e = (pow(x, -1) + x) / (pow(x , 2) * 2 + 2);
69 result += check_normal(e, d);
71 // Distribution of powers
73 d = pow(x, 2) / pow(y, 2);
74 result += check_normal(e, d);
76 // Distribution of powers (integer, distribute) and fraction addition
77 e = pow(pow(x, -1) + x, 2);
78 d = pow(pow(x, 2) + 1, 2) / pow(x, 2);
79 result += check_normal(e, d);
81 // Distribution of powers (non-integer, don't distribute) and fraction addition
82 e = pow(pow(x, -1) + x, numeric(1)/2);
83 d = pow((pow(x, 2) + 1) / x, numeric(1)/2);
84 result += check_normal(e, d);
86 // Replacement of functions with temporary symbols and fraction cancellation
87 e = pow(sin(x), 2) - pow(cos(x), 2);
90 result += check_normal(e, d);
92 // Replacement of non-integer powers with temporary symbols
93 e = (pow(numeric(2), numeric(1)/2) * x + x) / x;
94 d = pow(numeric(2), numeric(1)/2) + 1;
95 result += check_normal(e, d);
97 // Replacement of complex numbers with temporary symbols
98 e = (x + y + x*I + y*I) / (x + y);
100 result += check_normal(e, d);
102 e = (pow(x, 2) + pow(y, 2)) / (x + y*I);
104 result += check_normal(e, d);
106 // More complex rational function
107 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);
108 d = (y*2 + z*2) / (x + y*2);
109 result += check_normal(e, d);
114 unsigned normalization(void)
118 cout << "checking rational function normalization..." << flush;
119 clog << "---------rational function normalization:" << endl;
125 clog << "(no output)" << endl;