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/** @file check_numeric.cpp
*
* These exams creates some numbers and check the result of several Boolean
* tests on these numbers like is_integer() etc... */
/*
* GiNaC Copyright (C) 1999-2025 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 <cstdlib> // for rand()
#include <iostream>
using namespace std;
/* Simple and maybe somewhat pointless consistency tests of assorted tests and
* conversions. */
static unsigned check_numeric1()
{
unsigned result = 0;
bool errorflag = false;
int re_q, im_q;
// Check some numerator and denominator calculations:
for (int rep=0; rep<200; ++rep) {
do { re_q = rand(); } while (re_q == 0);
do { im_q = rand(); } while (im_q == 0);
numeric r(rand()-RAND_MAX/2, re_q);
numeric i(rand()-RAND_MAX/2, im_q);
numeric z = r + I*i;
numeric p = numer(z);
numeric q = denom(z);
numeric res = p/q;
if (res != z) {
clog << z << " erroneously transformed into "
<< p << "/" << q << " by numer() and denom()" << endl;
errorflag = true;
}
}
if (errorflag)
++result;
return result;
}
static unsigned check_numeric2()
{
unsigned result = 0;
bool errorflag = false;
int i_num, i_den;
// Check non-nested radicals (n/d)^(m/n) in ex wrapper class:
for (int i=0; i<200; ++i) {
for (int j=2; j<13; ++j) {
// construct an exponent 1/j...
numeric nm(1,j);
nm += numeric(int(20.0*rand()/(RAND_MAX+1.0))-10);
// ...a numerator...
do {
i_num = rand();
} while (i_num<=0);
numeric num(i_num);
// ...and a denominator.
do {
i_den = (rand())/100;
} while (i_den<=0);
numeric den(i_den);
// construct the radicals:
ex radical = pow(ex(num)/ex(den),ex(nm));
numeric floating = pow(num/den,nm);
// test the result:
if (is_a<numeric>(radical)) {
// This is very improbable with decent random numbers but it
// still can happen, so we better check if it is correct:
if (pow(radical,inverse(nm))==num/den) {
// Aha! We drew some lucky numbers. Nothing to see here...
} else {
clog << "(" << num << "/" << den << ")^(" << nm
<< ") should have been a product, instead it's "
<< radical << endl;
errorflag = true;
}
}
numeric ratio = abs(ex_to<numeric>(evalf(radical))/floating);
if (ratio>1.0001 && ratio<0.9999) {
clog << "(" << num << "/" << den << ")^(" << nm
<< ") erroneously evaluated to " << radical;
errorflag = true;
}
}
}
if (errorflag)
++result;
return result;
}
unsigned check_numeric()
{
unsigned result = 0;
cout << "checking consistency of numeric types" << flush;
result += check_numeric1(); cout << '.' << flush;
result += check_numeric2(); cout << '.' << flush;
return result;
}
int main(int argc, char** argv)
{
return check_numeric();
}
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