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/** @file exam_relational.cpp
*
* Small test for the relational objects and their conversion to bool. */
/*
* GiNaC Copyright (C) 1999-2026 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, see <https://www.gnu.org/licenses/>.
*/
#include "ginac.h"
using namespace GiNaC;
#include <iostream>
using namespace std;
// Elementary relations should fall back to numeric comparisons.
static unsigned exam_relational_elementary()
{
unsigned result = 0;
ex one = 1, two = 2;
if (one == two) {
clog << "'" << one << " == " << two << "' was converted to true." << endl;
result += 1;
}
if (!(one != two)) {
clog << "'" << one << " != " << two << "' was not converted to true." << endl;
result += 1;
}
if (!(one < two)) {
clog << "'" << one << " < " << two << "' was not converted to true." << endl;
result += 1;
}
if (!(one <= two)) {
clog << "'" << one << " <= " << two << "' was not converted to true." << endl;
result += 1;
}
if (one > two) {
clog << "'" << one << " > " << two << "' was converted to true." << endl;
result += 1;
}
if (one >= two) {
clog << "'" << one << " >= " << two << "' was converted to true." << endl;
result += 1;
}
return result;
}
// These should fall back to looking up info flags.
static unsigned exam_relational_possymbol()
{
unsigned result = 0;
possymbol p("p");
if (p == 0) {
clog << "for positive p, 'p == 0' was converted to true." << endl;
result += 1;
}
if (!(p != 0)) {
clog << "for positive p, 'p != 0' was not converted to true." << endl;
result += 1;
}
if (p < 0) {
clog << "for positive p, 'p < 0' was converted to true." << endl;
result += 1;
}
if (p <= 0) {
clog << "for positive p, 'p <= 0' was converted to true." << endl;
result += 1;
}
if (!(p > 0)) {
clog << "for positive p, 'p > 0' was not converted to true." << endl;
result += 1;
}
if (!(p >= 0)) {
clog << "for positive p, 'p >= 0' was not converted to true." << endl;
result += 1;
}
return result;
}
// Very simple arithmetic should be supported, too.
static unsigned exam_relational_arith()
{
unsigned result = 0;
possymbol p("p");
if (!(p + 2 > p + 1)) {
clog << "for positive p, 'p + 2 > p + 1' was not converted to true." << endl;
result += 1;
}
if (!(p > -p)) {
clog << "for positive p, 'p > -p' was not converted to true." << endl;
result += 1;
}
if (!(2*p > p)) {
clog << "for positive p, '2*p > p' was not converted to true." << endl;
result += 1;
}
return result;
}
// Comparisons should maintain ordering invariants
static unsigned exam_relational_order()
{
unsigned result = 0;
numeric i = 1ll<<32, j = i+1;
symbol a;
relational x = i==a, y = j==a;
if (x.compare(y) != -y.compare(x)) {
clog << "comparison should be antisymmetric." << endl;
result += 1;
}
return result;
}
unsigned exam_relational()
{
unsigned result = 0;
cout << "examining relational objects" << flush;
result += exam_relational_elementary(); cout << '.' << flush;
result += exam_relational_possymbol(); cout << '.' << flush;
result += exam_relational_arith(); cout << '.' << flush;
result += exam_relational_order(); cout << '.' << flush;
return result;
}
int main(int argc, char** argv)
{
return exam_relational();
}
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