1 /** @file normalization.cpp
3 * Rational function normalization test suite. */
6 * GiNaC Copyright (C) 1999-2000 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
25 #ifndef NO_NAMESPACE_GINAC
26 using namespace GiNaC;
27 #endif // ndef NO_NAMESPACE_GINAC
29 static symbol x("x"), y("y"), z("z");
31 static unsigned check_normal(const ex &e, const ex &d)
34 if (en.compare(d) != 0) {
35 clog << "normal form of " << e << " erroneously returned "
36 << en << " (should be " << d << ")" << endl;
42 static unsigned normal1(void)
48 e = pow(x, 2) - (x+1)*(x-1) - 1;
50 result += check_normal(e, d);
52 // Expansion inside functions
53 e = sin(x*(x+1)-x) + 1;
54 d = sin(pow(x, 2)) + 1;
55 result += check_normal(e, d);
58 e = numeric(2)/x + y/3;
60 result += check_normal(e, d);
63 e = pow(x, -1) + x/(x+1);
64 d = (pow(x, 2)+x+1)/(x*(x+1));
65 result += check_normal(e, d);
67 // Fraction cancellation
68 e = (pow(x, 2) - pow(y, 2)) / pow(x-y, 3);
69 d = (x + y) / (pow(x, 2) + pow(y, 2) - x * y * 2);
70 result += check_normal(e, d);
72 // Fraction cancellation
73 e = (pow(x, -1) + x) / (pow(x , 2) * 2 + 2);
75 result += check_normal(e, d);
77 // Fraction cancellation with rational coefficients
78 e = (pow(x, 2) - pow(y, 2)) / pow(x/2 - y/2, 3);
79 d = (8 * x + 8 * y) / (pow(x, 2) + pow(y, 2) - x * y * 2);
80 result += check_normal(e, d);
82 // Fraction cancellation with rational coefficients
83 e = z/5 * (x/7 + y/10) / (x/14 + y/20);
85 result += check_normal(e, d);
87 // Distribution of powers
89 d = pow(x, 2) / pow(y, 2);
90 result += check_normal(e, d);
92 // Distribution of powers (integer, distribute) and fraction addition
93 e = pow(pow(x, -1) + x, 2);
94 d = pow(pow(x, 2) + 1, 2) / pow(x, 2);
95 result += check_normal(e, d);
97 // Distribution of powers (non-integer, don't distribute) and fraction addition
98 e = pow(pow(x, -1) + x, numeric(1)/2);
99 d = pow((pow(x, 2) + 1) / x, numeric(1)/2);
100 result += check_normal(e, d);
102 // Replacement of functions with temporary symbols and fraction cancellation
103 e = pow(sin(x), 2) - pow(cos(x), 2);
104 e /= sin(x) + cos(x);
106 result += check_normal(e, d);
108 // Replacement of non-integer powers with temporary symbols
109 e = (pow(numeric(2), numeric(1)/2) * x + x) / x;
110 d = pow(numeric(2), numeric(1)/2) + 1;
111 result += check_normal(e, d);
113 // Replacement of complex numbers with temporary symbols
114 e = (x + y + x*I + y*I) / (x + y);
116 result += check_normal(e, d);
118 e = (pow(x, 2) + pow(y, 2)) / (x + y*I);
120 result += check_normal(e, d);
122 // More complex rational function
123 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);
124 d = (y*2 + z*2) / (x + y*2);
125 result += check_normal(e, d);
130 unsigned normalization(void)
134 cout << "checking rational function normalization..." << flush;
135 clog << "---------rational function normalization:" << endl;
141 clog << "(no output)" << endl;