/** @file exam_misc.cpp * */ /* * GiNaC Copyright (C) 1999-2003 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 "exams.h" #define VECSIZE 30 static unsigned exam_expand_subs() { unsigned result = 0; symbol a[VECSIZE]; ex e, aux; for (unsigned i=0; i(selfprobe)) { clog << "ex (of numeric) after self-assignment became " << selfprobe << endl; ++result; } return result; } /* This checks whether subs() works as intended in some special cases. */ static unsigned exam_subs() { unsigned result = 0; symbol x("x"); ex e1, e2; // This used to fail in GiNaC 1.0.5 because it first substituted // x+1 -> (x-1)+1 -> x, and then substituted again x -> x-1, giving // the wrong result e1 = x+1; e2 = e1.subs(x == x-1); if (!e2.is_equal(x)) { clog << "(x+1).subs(x==x-1) erroneously returned " << e2 << " instead of x" << endl; ++result; } e1 = sin(1+sin(x)); e2 = e1.subs(sin(wild()) == cos(wild())); if (!e2.is_equal(cos(1+cos(x)))) { clog << "sin(1+sin(x)).subs(sin(\$1)==cos(\$1)) erroneously returned " << e2 << " instead of cos(1+cos(x))" << endl; ++result; } return result; } /* Joris van der Hoeven (he of TeXmacs fame) is a funny guy. He has his own * ideas what a symbolic system should do. Let's make sure we won't disappoint * him some day. Incidentally, this seems to always have worked. */ static unsigned exam_joris() { unsigned result = 0; symbol x("x"); ex e = expand(pow(x, x-1) * x); if (e != pow(x, x)) { clog << "x^(x-1)*x did not expand to x^x. Please call Joris!" << endl; ++result; } return result; } /* Test Chris Dams' algebraic substitutions. */ static unsigned exam_subs_algebraic() { unsigned result = 0; symbol x("x"), y("y"); ex e = ex(x*x*x*y*y).subs(x*y==2, subs_options::subs_algebraic); if (e != 4*x) { clog << "(x^3*y^2).subs(x*y==2,subs_options::subs_algebraic) erroneously returned " << e << endl; ++result; } e = ex(x*x*x*x*x).subs(x*x==y, subs_options::subs_algebraic); if (e != y*y*x) { clog << "x^5.subs(x^2==y,subs_options::subs_algebraic) erroneously returned " << e << endl; ++result; } return result; } unsigned exam_misc() { unsigned result = 0; cout << "examining miscellaneous other things" << flush; clog << "----------miscellaneous other things:" << endl; result += exam_expand_subs(); cout << '.' << flush; result += exam_expand_subs2(); cout << '.' << flush; result += exam_expand_power(); cout << '.' << flush; result += exam_sqrfree(); cout << '.' << flush; result += exam_operator_semantics(); cout << '.' << flush; result += exam_subs(); cout << '.' << flush; result += exam_joris(); cout << '.' << flush; result += exam_subs_algebraic(); cout << '.' << flush; if (!result) { cout << " passed " << endl; clog << "(no output)" << endl; } else { cout << " failed " << endl; } return result; }