1 /** @file exam_misc.cpp
6 * GiNaC Copyright (C) 1999-2001 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
27 static unsigned exam_expand_subs(void)
33 for (unsigned i=0; i<VECSIZE; ++i)
36 // prepare aux so it will swallow anything but a1^2:
37 aux = -e + a[0] + a[1];
38 e = expand(subs(expand(pow(e, 2)), a[0] == aux));
40 if (e != pow(a[1],2)) {
41 clog << "Denny Fliegner's quick consistency check erroneously returned "
49 /* A simple modification of Denny Fliegner's three step consistency test:
50 * 1) e = (a0 + a1)^200
52 * 3) substitute a0 by -a1 in e
53 * after which e should return 0 (without expanding). */
54 static unsigned exam_expand_subs2(void)
57 symbol a("a"), b("b");
60 e = pow(a+b,200).expand();
64 clog << "e = pow(a+b,200).expand(); f = e.subs(a == -b); erroneously returned "
65 << f << " instead of simplifying to 0." << endl;
72 static unsigned exam_expand_power(void)
75 symbol x("x"), a("a"), b("b");
78 e = pow(x,pow(a+b,2)-pow(a,2)-pow(b,2)-a*b*2).expand();
81 clog << "e = pow(x,pow(a+b,2)-pow(a,2)-pow(b,2)-a*b*2).expand(); erroneously returned "
82 << e << " instead of simplifying to 1." << endl;
89 static unsigned exam_sqrfree(void)
92 symbol x("x"), y("y");
95 e1 = (1+x)*pow((2+x),2)*pow((3+x),3)*pow((4+x),4);
96 e2 = sqrfree(expand(e1),lst(x));
98 clog << "sqrfree(expand(" << e1 << ")) erroneously returned "
103 e1 = (x+y)*pow((x+2*y),2)*pow((x+3*y),3)*pow((x+4*y),4);
104 e2 = sqrfree(expand(e1));
106 clog << "sqrfree(expand(" << e1 << ")) erroneously returned "
110 e2 = sqrfree(expand(e1),lst(x));
112 clog << "sqrfree(expand(" << e1 << "),[x]) erroneously returned "
116 e2 = sqrfree(expand(e1),lst(y));
118 clog << "sqrfree(expand(" << e1 << "),[y]) erroneously returned "
122 e2 = sqrfree(expand(e1),lst(x,y));
124 clog << "sqrfree(expand(" << e1 << "),[x,y]) erroneously returned "
132 unsigned exam_misc(void)
136 cout << "examining miscellaneous other things" << flush;
137 clog << "----------miscellaneous other things:" << endl;
139 result += exam_expand_subs(); cout << '.' << flush;
140 result += exam_expand_subs2(); cout << '.' << flush;
141 result += exam_expand_power(); cout << '.' << flush;
142 result += exam_sqrfree(); cout << '.' << flush;
145 cout << " passed " << endl;
146 clog << "(no output)" << endl;
148 cout << " failed " << endl;