* these oopses for good, so we run those stupid tests... */
/*
- * GiNaC Copyright (C) 1999-2011 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2015 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
}
// Bug in add::eval() could result in numeric terms not being collected into
-// the overall coefficient. Fixed on Sep 22, 2010
+// the overall coefficient. Fixed first on Sep 22, 2010 and again on Dec 17 2015
static unsigned exam_paranoia18()
{
+ unsigned result = 0;
+
ex sqrt2 = sqrt(ex(2));
- ex e = 1+2*(sqrt2+1)*(sqrt2-1);
- if ( e.real_part() != 3 ) {
+ ex e = 1 + 2*(sqrt2+1)*(sqrt2-1);
+ if (e.real_part() != 3) {
clog << "real_part(1+2*(sqrt(2)+1)*(sqrt(2)-1)) failed to evaluate to 3\n";
- return 1;
+ ++result;
}
- return 0;
+
+ ex sqrt3 = sqrt(ex(3));
+ ex f = 2 + 2*(sqrt2+1)*(sqrt2-1) - 2*(sqrt3+1)*(sqrt3-1);
+ if (f.real_part() != 0) {
+ clog << "real_part(2+2*(sqrt(2)+1)*(sqrt(2)-1)-3*(sqrt(3)+1)*(sqrt(3)-1)) failed to evaluate to 0\n";
+ ++result;
+ }
+
+ return result;
}
// Bug in mul::conjugate when factors are evaluated at branch cuts, reported as
return 0;
}
-// Bug in expairseq::is_polynomial (fixed 2011-05-20).
+// Bugs in is_polynomial (fixed 2011-05-20 and 2014-07-26).
static unsigned exam_paranoia20()
{
unsigned result = 0;
- symbol x("x");
+ symbol x("x"), y("y");
ex e1 = sqrt(x*x+1)*sqrt(x+1);
if (e1.is_polynomial(x)) {
clog << "sqrt(x*x+1)*sqrt(x+1) is wrongly reported to be a polynomial in x\n";
clog << "sqrt(Pi)*x is wrongly reported to be no polynomial in x\n";
++result;
}
+ ex e3 = sqrt(x);
+ if (!e3.is_polynomial(y)) {
+ clog << "sqrt(x) is wrongly reported to be no polynomial in y\n";
+ ++result;
+ }
+ ex e4 = (1+y)/(2+x);
+ if (e4.is_polynomial(x)) {
+ clog << "(1+y)/(2+x) is wrongly reported to be a polynomial in x\n";
+ ++result;
+ }
+ return result;
+}
+
+static unsigned is_polynomial_false_positive()
+{
+ unsigned result = 0;
+ symbol x("x"), n("n");
+ exvector nonpoly_exprs;
+ nonpoly_exprs.push_back(1/(1-x));
+ nonpoly_exprs.push_back(1/(x+1));
+ nonpoly_exprs.push_back(-1/(x-1));
+ nonpoly_exprs.push_back(1/(1-x*x));
+ nonpoly_exprs.push_back(1/(1-pow(x,n)));
+ nonpoly_exprs.push_back(x-1/(x-1));
+ for (exvector::const_iterator ep = nonpoly_exprs.begin();
+ ep != nonpoly_exprs.end(); ++ep) {
+ if (ep->is_polynomial(x)) {
+ clog << "(" << *ep << ").is_polynomial(" << x << ") "
+ "erroneously returned true" << endl;
+ ++result;
+ }
+ }
return result;
}
+// Bug in power::expand reported by Isuru Fernando (fixed 2015-05-07).
+static unsigned exam_paranoia21()
+{
+ symbol x("x");
+ ex e = pow(x + sqrt(ex(2))*x, 2).expand();
+ if (e.nops() != 2) {
+ clog << "(x+sqrt(2)*x)^2 was wrongly expanded to " << e << "\n";
+ return 1;
+ }
+ return 0;
+}
+
+// Bug in power::expand (fixed 2015-07-18).
+static unsigned exam_paranoia22()
+{
+ symbol x("x"), y("y");
+ ex e = pow(sqrt(1+x)+y*sqrt(1+x), 2).expand();
+ if (e.nops() != 6) {
+ clog << "(sqrt(1+x)+y*sqrt(1+x))^2 was wrongly expanded to " << e << "\n";
+ return 1;
+ }
+ return 0;
+}
+
unsigned exam_paranoia()
{
unsigned result = 0;
result += exam_paranoia18(); cout << '.' << flush;
result += exam_paranoia19(); cout << '.' << flush;
result += exam_paranoia20(); cout << '.' << flush;
+ result += is_polynomial_false_positive(); cout << '.' << flush;
+ result += exam_paranoia21(); cout << '.' << flush;
+ result += exam_paranoia22(); cout << '.' << flush;
return result;
}