+++ /dev/null
-/** @file paranoia_check.cpp
- *
- * This set of tests checks for some of GiNaC's oopses which showed up during
- * development. Things were evaluated wrongly and so. Such a sick behaviour
- * shouldn't occur any more. But we are paranoic and we want to exclude these
- * these oopses for good, so we run those stupid tests... */
-
-/*
- * GiNaC Copyright (C) 1999-2000 Johannes Gutenberg University Mainz, Germany
- *
- * This program is free software; you can redistribute it and/or modify
- * it under the terms of the GNU General Public License as published by
- * the Free Software Foundation; either version 2 of the License, or
- * (at your option) any later version.
- *
- * This program is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
- */
-
-#include "ginac.h"
-
-#ifndef NO_NAMESPACE_GINAC
-using namespace GiNaC;
-#endif // ndef NO_NAMESPACE_GINAC
-
-// The very first pair of historic problems had its roots in power.cpp and was
-// finally resolved on April 27th 1999. (Fixing the first on April 23rd
-// actually introduced the second.)
-static unsigned paranoia_check1(void)
-{
- unsigned result = 0;
- symbol x("x"), y("y"), z("z");
- ex e, f, g;
-
- e = x * y * z;
- f = y * z;
- g = e / f;
-
- // In the first one expand did not do any job at all:
- if (!g.expand().is_equal(x)) {
- clog << "e = x*y*z; f = y*z; expand(e/f) erroneously returned "
- << g.expand() << endl;
- ++result;
- }
-
- // This one somehow used to return 0:
- e = pow(x + 1, -1);
- if (!e.expand().is_equal(e)) {
- clog << "expand(pow(x + 1, -1)) erroneously returned "
- << e.expand() << endl;
- ++result;
- }
-
- return result;
-}
-
-// And here the second oops which showed up until May 17th 1999. It had to do
-// with lexicographic canonicalization and thus showed up only if the variables
-// had the names as given here:
-static unsigned paranoia_check2(void)
-{
- unsigned result = 0;
- symbol x("x"), y("y"), z("z");
- ex e, f, g;
-
- e = x + z*x;
- f = e*y;
- g = f - e*y;
-
- // After .expand(), g should be zero:
- if (!g.expand().is_zero()) {
- clog << "e = (x + z*x); f = e*y; expand(f - e*y) erroneously returned "
- << g.expand() << endl;
- ++result;
- }
- // After .eval(), g should be zero:
- if (!g.eval().is_zero()) {
- clog << "e = (x + z*x); f = e*y; eval(f - e*y) erroneously returned "
- << g.eval() << endl;
- ++result;
- }
- // This actually worked already back in April 1999.
- // But we are *very* paranoic!
- if (!g.expand().eval().is_zero()) {
- clog << "e = (x + z*x); f = e*y; eval(expand(f - e*y)) erroneously returned "
- << g.expand().eval() << endl;
- ++result;
- }
-
- return result;
-}
-
-// The third bug was introduced on May 18th 1999, discovered on May 19 and
-// fixed that same day. It worked when x was substituted by 1 but not with
-// other numbers:
-static unsigned paranoia_check3(void)
-{
- unsigned result = 0;
- symbol x("x"), y("y");
- ex e, f;
-
- e = x*y - y;
- f = e.subs(x == 2);
-
- if (!f.is_equal(y)) {
- clog << "e = x*y - y; f = e.subs(x == 2) erroneously returned "
- << f << endl;
- ++result;
- }
- if (!f.eval().is_equal(y)) {
- clog << "e = x*y - y; eval(e.subs(x == 2)) erroneously returned "
- << f.eval() << endl;
- ++result;
- }
- if (!f.expand().is_equal(y)) {
- clog << "e = x*y - y; expand(e.subs(x == 2)) erroneously returned "
- << f.expand() << endl;
- ++result;
- }
-
- return result;
-}
-
-// The fourth bug was also discovered on May 19th 1999 and fixed immediately:
-static unsigned paranoia_check4(void)
-{
- unsigned result = 0;
- symbol x("x");
- ex e, f, g;
-
- e = pow(x, 2) + x + 1;
- f = pow(x, 2) + x + 1;
- g = e - f;
-
- if (!g.is_zero()) {
- clog << "e = pow(x,2) + x + 1; f = pow(x,2) + x + 1; g = e-f; g erroneously returned "
- << g << endl;
- ++result;
- }
- if (!g.is_zero()) {
- clog << "e = pow(x,2) + x + 1; f = pow(x,2) + x + 1; g = e-f; g.eval() erroneously returned "
- << g.eval() << endl;
- ++result;
- }
-
- return result;
-}
-
-// The fifth oops was discovered on May 20th 1999 and fixed a day later:
-static unsigned paranoia_check5(void)
-{
- unsigned result = 0;
- symbol x("x"), y("y");
-
- ex e, f;
- e = pow(x*y + 1, 2);
- f = pow(x, 2) * pow(y, 2) + 2*x*y + 1;
-
- if (!(e-f).expand().is_zero()) {
- clog << "e = pow(x*y+1,2); f = pow(x,2)*pow(y,2) + 2*x*y + 1; (e-f).expand() erroneously returned "
- << (e-f).expand() << endl;
- ++result;
- }
-
- return result;
-}
-
-// This one was discovered on Jun 1st 1999 and fixed the same day:
-static unsigned paranoia_check6(void)
-{
- unsigned result = 0;
- symbol x("x");
-
- ex e, f;
- e = pow(x, -5);
- f = e.denom();
-
- if (!f.is_equal(pow(x, 5))) {
- clog << "e = pow(x, -5); f = e.denom(); f was " << f << " (should be x^5)" << endl;
- ++result;
- }
- return result;
-}
-
-// This one was introduced on June 1st 1999 by some aggressive manual
-// optimization. Discovered and fixed on June 2nd.
-static unsigned paranoia_check7(void)
-{
- unsigned result = 0;
- symbol x("x"), y("y");
-
- ex e = y + y*x + 2;
- ex f = expand(pow(e, 2) - (e*y*(x + 1)));
-
- if (f.nops() > 3) {
- clog << "e=y+y*x+2; f=expand(pow(e,2)-(e*y*(x+1))) has "
- << f.nops() << " arguments instead of 3 ( f=="
- << f << " )" << endl;
- ++result;
- }
- return result;
-}
-
-// This one was a result of the rewrite of mul::max_coefficient when we
-// introduced the overall_coefficient field in expairseq objects on Oct 1st
-// 1999. Fixed on Oct 4th.
-static unsigned paranoia_check8(void)
-{
- unsigned result = 0;
- symbol x("x");
-
- ex e = -x / (x+1);
- ex f;
-
- try {
- f = e.normal();
- if (!f.is_equal(e)) {
- clog << "normal(-x/(x+1)) returns " << f << " instead of -x/(x+1)\n";
- ++result;
- }
- } catch (const exception &e) {
- clog << "normal(-x/(x+1) throws " << e.what() << endl;
- ++result;
- }
- return result;
-}
-
-// This one was a result of a modification to frac_cancel() & Co. to avoid
-// expanding the numerator and denominator when bringing them from Q[X] to
-// Z[X]. multiply_lcm() forgot to multiply the x-linear term with the LCM of
-// the coefficient's denominators (2 in this case). Introduced on Jan 25th
-// 2000 and fixed on Jan 31th.
-static unsigned paranoia_check9(void)
-{
- unsigned result = 0;
- symbol x("x");
-
- ex e = (exp(-x)-2*x*exp(-x)+pow(x,2)/2*exp(-x))/exp(-x);
- ex f = e.normal();
-
- if (!f.is_equal(1-2*x+pow(x,2)/2)) {
- clog << "normal(" << e << ") returns " << f << " instead of 1-2*x+1/2*x^2\n";
- ++result;
- }
- return result;
-}
-
-// I have no idea when this broke. It has been working long ago, before 0.4.0
-// and on Feb 13th 2000 I found out that things like 2^(3/2) throw an exception
-// "power::eval(): pow(0,0) is undefined" instead of simplifying to 2*2^(1/2).
-// It was fixed that same day.
-static unsigned paranoia_check10(void)
-{
- unsigned result = 0;
-
- ex b = numeric(2);
- ex e = numeric(3,2);
- ex r;
-
- try {
- r = pow(b,e).eval();
- if (!(r-2*sqrt(ex(2))).is_zero()) {
- clog << "2^(3/2) erroneously returned " << r << " instead of 2*sqrt(2)" << endl;
- ++result;
- }
- } catch (const exception &e) {
- clog << "2^(3/2) throws " << e.what() << endl;
- ++result;
- }
- return result;
-}
-
-// After the rewriting of basic::normal() & Co. to return {num, den} lists,
-// add::normal() forgot to multiply the denominator of the overall_coeff of
-// its expanded and normalized children with the denominator of the expanded
-// child (did you get this? Well, never mind...). Fixed on Feb 21th 2000.
-static unsigned paranoia_check11(void)
-{
- unsigned result = 0;
- symbol x("x");
-
- ex e = ((-5-2*x)-((2-5*x)/(-2+x))*(3+2*x))/(5-4*x);
- ex f = e.normal();
- ex d = (4+10*x+8*pow(x,2))/(x-2)/(5-4*x);
-
- if (!(f - d).expand().is_zero()) {
- clog << "normal(" << e << ") returns " << f << " instead of " << d << endl;
- ++result;
- }
- return result;
-}
-
-unsigned paranoia_check(void)
-{
- unsigned result = 0;
-
- cout << "checking several ex-bugs just out of pure paranoia..." << flush;
- clog << "---------several ex-bugs just out of pure paranoia:" << endl;
-
- result += paranoia_check1();
- result += paranoia_check2();
- result += paranoia_check3();
- result += paranoia_check4();
- result += paranoia_check5();
- result += paranoia_check6();
- result += paranoia_check7();
- result += paranoia_check8();
- result += paranoia_check9();
- result += paranoia_check10();
- result += paranoia_check11();
-
- if (!result) {
- cout << " passed ";
- clog << "(no output)" << endl;
- } else {
- cout << " failed ";
- }
-
- return result;
-}
git://www.ginac.de / ginac.git / blobdiff