1 /** @file paranoia_check.cpp
3 * This set of tests checks for some of GiNaC's oopses which showed up during
4 * development. Things were evaluated wrongly and so. It should not find such
5 * a sick behaviour again. But since we are paranoic and we want to exclude
6 * that behaviour for good... */
9 * GiNaC Copyright (C) 1999 Johannes Gutenberg University Mainz, Germany
11 * This program is free software; you can redistribute it and/or modify
12 * it under the terms of the GNU General Public License as published by
13 * the Free Software Foundation; either version 2 of the License, or
14 * (at your option) any later version.
16 * This program is distributed in the hope that it will be useful,
17 * but WITHOUT ANY WARRANTY; without even the implied warranty of
18 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
19 * GNU General Public License for more details.
21 * You should have received a copy of the GNU General Public License
22 * along with this program; if not, write to the Free Software
23 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
26 #include <ginac/ginac.h>
28 #ifndef NO_GINAC_NAMESPACE
29 using namespace GiNaC;
30 #endif // ndef NO_GINAC_NAMESPACE
32 // The very first pair of historic problems had its roots in power.cpp and was
33 // finally resolved on April 27th. (Fixing the first on April 23rd actually
34 // introduced the second.)
35 static unsigned paranoia_check1(void)
38 symbol x("x"), y("y"), z("z");
45 // In the first one expand did not do any job at all:
46 if ( !g.expand().is_equal(x) ) {
47 clog << "e = x*y*z; f = y*z; expand(e/f) erroneously returned "
48 << g.expand() << endl;
52 // This one somehow used to return 0:
54 if (!e.expand().is_equal(e)) {
55 clog << "expand(pow(x + 1, -1)) erroneously returned "
56 << e.expand() << endl;
63 // And here the second oops which showed up until May 17th 1999. It had to do
64 // with lexicographic canonicalization and thus showed up only if the variables
65 // had the names as given here:
66 static unsigned paranoia_check2(void)
69 symbol x("x"), y("y"), z("z");
76 // After .expand(), g should be zero:
77 if (!g.expand().is_equal(exZERO())) {
78 clog << "e = (x + z*x); f = e*y; expand(f - e*y) erroneously returned "
79 << g.expand() << endl;
82 // After .eval(), g should be zero:
83 if (!g.eval().is_equal(exZERO())) {
84 clog << "e = (x + z*x); f = e*y; eval(f - e*y) erroneously returned "
88 // This actually worked already back in April. But we are very paranoic!
89 if (!g.expand().eval().is_equal(exZERO())) {
90 clog << "e = (x + z*x); f = e*y; eval(expand(f - e*y)) erroneously returned "
91 << g.expand().eval() << endl;
98 // The third bug was introduced on May 18, discovered on May 19 and fixed that
99 // same day. It worked when x was substituted by 1 but not with other numbers:
100 static unsigned paranoia_check3(void)
103 symbol x("x"), y("y");
109 if (!f.is_equal(y)) {
110 clog << "e = x*y - y; f = e.subs(x == 2) erroneously returned "
114 if (!f.eval().is_equal(y)) {
115 clog << "e = x*y - y; eval(e.subs(x == 2)) erroneously returned "
119 if (!f.expand().is_equal(y)) {
120 clog << "e = x*y - y; expand(e.subs(x == 2)) erroneously returned "
121 << f.expand() << endl;
128 // The fourth bug was also discovered on May 19 and fixed immediately:
129 static unsigned paranoia_check4(void)
135 e = pow(x, 2) + x + 1;
136 f = pow(x, 2) + x + 1;
139 if (!g.is_equal(exZERO())) {
140 clog << "e = pow(x,2) + x + 1; f = pow(x,2) + x + 1; g = e-f; g erroneously returned "
144 if (!g.is_equal(exZERO())) {
145 clog << "e = pow(x,2) + x + 1; f = pow(x,2) + x + 1; g = e-f; g.eval() erroneously returned "
153 // The fifth oops was discovered on May 20 and fixed a day later:
154 static unsigned paranoia_check5(void)
157 symbol x("x"), y("y");
161 f = pow(x, 2) * pow(y, 2) + 2*x*y + 1;
163 if (!(e-f).expand().is_equal(exZERO())) {
164 clog << "e = pow(x*y+1,2); f = pow(x,2)*pow(y,2) + 2*x*y + 1; (e-f).expand() erroneously returned "
165 << (e-f).expand() << endl;
172 // This one was discovered on Jun 1 and fixed the same day:
173 static unsigned paranoia_check6(void)
182 if (!f.is_equal(pow(x, 5))) {
183 clog << "e = pow(x, -5); f = e.denom(); f was " << f << " (should be x^5)" << endl;
189 // This one was introduced on June 1 by some aggressive manual optimization.
190 // Discovered and fixed on June 2.
191 static unsigned paranoia_check7(void)
194 symbol x("x"), y("y");
197 ex f = expand(pow(e, 2) - (e*y*(x + 1)));
200 clog << "e=y+y*x+2; f=expand(pow(e,2)-(e*y*(x+1))) has "
201 << f.nops() << " arguments instead of 3 ( f=="
202 << f << " )" << endl;
208 // This one was a result of the rewrite of mul::max_coefficient when we
209 // introduced the overall_coefficient field in expairseq objects on Oct 1.
211 static unsigned paranoia_check8(void)
219 // The bug caused a division by zero in normal(), so the following
220 // check is actually bogus...
221 if (!f.is_equal(e)) {
222 clog << "normal(-x/(x+1)) returns " << f << " instead of -x/(x+1)\n";
228 unsigned paranoia_check(void)
232 cout << "checking several ex-bugs just out of pure paranoia..." << flush;
233 clog << "---------several ex-bugs just out of pure paranoia:" << endl;
235 result += paranoia_check1();
236 result += paranoia_check2();
237 result += paranoia_check3();
238 result += paranoia_check4();
239 result += paranoia_check5();
240 result += paranoia_check6();
241 result += paranoia_check7();
242 result += paranoia_check8();
246 clog << "(no output)" << endl;