/** @file exam_misc.cpp
*
*/
/*
* GiNaC Copyright (C) 1999-2021 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include "ginac.h"
using namespace GiNaC;
#include
using namespace std;
#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;
}
// And this used to fail in GiNaC 1.5.8 because it first substituted
// exp(x) -> exp(log(x)) -> x, and then substituted again x -> log(x)
e1 = exp(x);
e2 = e1.subs(x == log(x));
if (!e2.is_equal(x)) {
clog << "exp(x).subs(x==log(x)) 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::algebraic);
if (e != 4*x) {
clog << "(x^3*y^2).subs(x*y==2,subs_options::algebraic) erroneously returned " << e << endl;
++result;
}
e = ex(x*x*x*x*x).subs(x*x==y, subs_options::algebraic);
if (e != y*y*x) {
clog << "x^5.subs(x^2==y,subs_options::algebraic) erroneously returned " << e << endl;
++result;
}
e=x*x*y;
if (!e.has(x*y, has_options::algebraic))
{ clog << "(x^2*y).has(x*y, has_options::algebraic) erroneously returned false." << endl;
++result;
}
if (e.has(x*y*y, has_options::algebraic))
{ clog << "(x^2*y).has(x*y*y, has_options::algebraic) erroneously returned true." << endl;
++result;
}
e=x*x*x*y;
if (!e.has(x*x, has_options::algebraic))
{ clog << "(x^3*y).has(x*x, has_options::algebraic) erroneously returned false." << endl;
++result;
}
if (e.has(y*y, has_options::algebraic))
{ clog << "(x^3*y).has(y*y, has_options::algebraic) erroneously returned true." << endl;
++result;
}
return result;
}
/* Test suitable cases of the exponent power law: (e^t)^s=e^(ts). */
static unsigned exam_exponent_power_law()
{
unsigned result = 0;
symbol x("x");
realsymbol s("s");
possymbol t("t");
exmap pwr_exp =
{ {pow(exp(x), 2), exp(2*x)},
{pow(exp(s), t), exp(s*t)},
{exp(x)*pow(exp(x),-1), 1} };
for (auto e : pwr_exp) {
if (! (e.first.is_equal(e.second)) ) {
clog << "power of exponent " << e.first << " produces error.\n";
++result;
}
}
return result;
}
unsigned exam_misc()
{
unsigned result = 0;
cout << "examining miscellaneous other things" << flush;
result += exam_expand_subs(); cout << '.' << flush;
result += exam_expand_subs2(); cout << '.' << flush;
result += exam_expand_power(); cout << '.' << flush;
result += exam_operator_semantics(); cout << '.' << flush;
result += exam_subs(); cout << '.' << flush;
result += exam_joris(); cout << '.' << flush;
result += exam_subs_algebraic(); cout << '.' << flush;
result += exam_exponent_power_law(); cout << '.' << flush;
return result;
}
int main(int argc, char** argv)
{
return exam_misc();
}