/** @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;
}