1 // check/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... */
8 #include <ginac/ginac.h>
10 // The very first pair of historic problems had its roots in power.cpp and was
11 // finally resolved on April 27th. (Fixing the first on April 23rd actually
12 // introduced the second.)
13 static unsigned paranoia_check1(void)
16 symbol x("x"), y("y"), z("z");
23 // In the first one expand did not do any job at all:
24 if ( !g.expand().is_equal(x) ) {
25 clog << "e = x*y*z; f = y*z; expand(e/f) erroneously returned "
26 << g.expand() << endl;
30 // This one somehow used to return 0:
32 if (!e.expand().is_equal(e)) {
33 clog << "expand(pow(x + 1, -1)) erroneously returned "
34 << e.expand() << endl;
41 // And here the second oops which showed up until May 17th 1999. It had to do
42 // with lexicographic canonicalization and thus showed up only if the variables
43 // had the names as given here:
44 static unsigned paranoia_check2(void)
47 symbol x("x"), y("y"), z("z");
54 // After .expand(), g should be zero:
55 if (!g.expand().is_equal(exZERO())) {
56 clog << "e = (x + z*x); f = e*y; expand(f - e*y) erroneously returned "
57 << g.expand() << endl;
60 // After .eval(), g should be zero:
61 if (!g.eval().is_equal(exZERO())) {
62 clog << "e = (x + z*x); f = e*y; eval(f - e*y) erroneously returned "
66 // This actually worked already back in April. But we are very paranoic!
67 if (!g.expand().eval().is_equal(exZERO())) {
68 clog << "e = (x + z*x); f = e*y; eval(expand(f - e*y)) erroneously returned "
69 << g.expand().eval() << endl;
76 // The third bug was introduced on May 18, discovered on May 19 and fixed that
77 // same day. It worked when x was substituted by 1 but not with other numbers:
78 static unsigned paranoia_check3(void)
81 symbol x("x"), y("y");
88 clog << "e = x*y - y; f = e.subs(x == 2) erroneously returned "
92 if (!f.eval().is_equal(y)) {
93 clog << "e = x*y - y; eval(e.subs(x == 2)) erroneously returned "
97 if (!f.expand().is_equal(y)) {
98 clog << "e = x*y - y; expand(e.subs(x == 2)) erroneously returned "
99 << f.expand() << endl;
106 // The fourth bug was also discovered on May 19 and fixed immediately:
107 static unsigned paranoia_check4(void)
113 e = pow(x, 2) + x + 1;
114 f = pow(x, 2) + x + 1;
117 if (!g.is_equal(exZERO())) {
118 clog << "e = pow(x,2) + x + 1; f = pow(x,2) + x + 1; g = e-f; g erroneously returned "
122 if (!g.is_equal(exZERO())) {
123 clog << "e = pow(x,2) + x + 1; f = pow(x,2) + x + 1; g = e-f; g.eval() erroneously returned "
131 // The fifth oops was discovered on May 20 and fixed a day later:
132 static unsigned paranoia_check5(void)
135 symbol x("x"), y("y");
139 f = pow(x, 2) * pow(y, 2) + 2*x*y + 1;
141 if (!(e-f).expand().is_equal(exZERO())) {
142 clog << "e = pow(x*y+1,2); f = pow(x,2)*pow(y,2) + 2*x*y + 1; (e-f).expand() erroneously returned "
143 << (e-f).expand() << endl;
150 // This one was discovered on Jun 1 and fixed the same day:
151 static unsigned paranoia_check6(void)
160 if (!f.is_equal(pow(x, 5))) {
161 clog << "e = pow(x, -5); f = e.denom(); f was " << f << " (should be x^5)" << endl;
167 // This one was introduced on June 1 by some aggressive manual optimization.
168 // Discovered and fixed on June 2.
169 static unsigned paranoia_check7(void)
172 symbol x("x"), y("y");
175 ex f = expand(pow(e, 2) - (e*y*(x + 1)));
178 clog << "e=y+y*x+2; f=expand(pow(e,2)-(e*y*(x+1))) has "
179 << f.nops() << " arguments instead of 3 ( f=="
180 << f << " )" << endl;
186 // This one was a result of the rewrite of mul::max_coefficient when we
187 // introduced the overall_coefficient field in expairseq objects on Oct 1.
189 static unsigned paranoia_check8(void)
197 // The bug caused a division by zero in normal(), so the following
198 // check is actually bogus...
199 if (!f.is_equal(e)) {
200 clog << "normal(-x/(x+1)) returns " << f << " instead of -x/(x+1)\n";
206 unsigned paranoia_check(void)
210 cout << "checking several ex-bugs just out of pure paranoia..." << flush;
211 clog << "---------several ex-bugs just out of pure paranoia:" << endl;
213 result += paranoia_check1();
214 result += paranoia_check2();
215 result += paranoia_check3();
216 result += paranoia_check4();
217 result += paranoia_check5();
218 result += paranoia_check6();
219 result += paranoia_check7();
220 result += paranoia_check8();
224 clog << "(no output)" << endl;