clog << "normal(-x/(x+1)) returns " << f << " instead of -x/(x+1)\n";
++result;
}
- } catch (const exception &e) {
- clog << "normal(-x/(x+1) throws " << e.what() << endl;
+ } catch (const exception &err) {
+ clog << "normal(-x/(x+1) throws " << err.what() << endl;
++result;
}
return result;
clog << "2^(3/2) erroneously returned " << r << " instead of 2*sqrt(2)" << endl;
++result;
}
- } catch (const exception &e) {
- clog << "2^(3/2) throws " << e.what() << endl;
+ } catch (const exception &err) {
+ clog << "2^(3/2) throws " << err.what() << endl;
++result;
}
return result;
return result;
}
+// This one returned 0 because add::normal() incorrectly assumed that if the
+// common denominator is 1, all the denominators would be 1 (they can in fact
+// be +/-1). Fixed on Aug 2nd 2000.
+static unsigned exam_paranoia12(void)
+{
+ unsigned result = 0;
+ symbol x("x");
+
+ ex e = 2-2*(1+x)/(-1-x);
+ ex f = e.normal();
+ ex d = 4;
+
+ if (!(f - d).expand().is_zero()) {
+ clog << "normal(" << e << ") returns " << f
+ << " instead of " << d << endl;
+ ++result;
+ }
+ return result;
+}
+
+// This one caused a division by 0 because heur_gcd() didn't check its
+// input polynomials against 0. Fixed on Aug 4th 2000.
+static unsigned exam_paranoia13(void)
+{
+ unsigned result = 0;
+ symbol a("a"), b("b"), c("c");
+
+ ex e = (b*a-c*a)/(4-a);
+ ex f = e.normal();
+ ex d = (c*a-b*a)/(a-4);
+
+ if (!(f - d).expand().is_zero()) {
+ clog << "normal(" << e << ") returns " << f << " instead of " << d << endl;
+ ++result;
+ }
+ return result;
+}
+
unsigned exam_paranoia(void)
{
unsigned result = 0;
result += exam_paranoia9(); cout << '.' << flush;
result += exam_paranoia10(); cout << '.' << flush;
result += exam_paranoia11(); cout << '.' << flush;
+ result += exam_paranoia12(); cout << '.' << flush;
+ result += exam_paranoia13(); cout << '.' << flush;
if (!result) {
cout << " passed " << endl;