/** @file exam_paranoia.cpp
*
* This set of tests checks for some of GiNaC's oopses which showed up during
- * development. Things were evaluated wrongly and so. Such a sick behaviour
+ * development. Things were evaluated wrongly and so. Such a sick behavior
* shouldn't occur any more. But we are paranoic and we want to exclude these
* these oopses for good, so we run those stupid tests... */
/*
- * GiNaC Copyright (C) 1999-2015 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2019 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
f = e*y;
g = f - e*y;
- // After .expand(), g should be zero:
- if (!g.expand().is_zero()) {
- clog << "e = (x + z*x); f = e*y; expand(f - e*y) erroneously returned "
- << g.expand() << endl;
- ++result;
- }
// After .eval(), g should be zero:
- if (!g.eval().is_zero()) {
- clog << "e = (x + z*x); f = e*y; eval(f - e*y) erroneously returned "
- << g.eval() << endl;
- ++result;
- }
- // This actually worked already back in April 1999.
- // But we are *very* paranoic!
- if (!g.expand().eval().is_zero()) {
- clog << "e = (x + z*x); f = e*y; eval(expand(f - e*y)) erroneously returned "
- << g.expand().eval() << endl;
+ if (!g.is_zero()) {
+ clog << "e = (x + z*x); f = e*y; g = (f - e*y) erroneously returned g == "
+ << g << endl;
++result;
}
<< f << endl;
++result;
}
- if (!f.eval().is_equal(y)) {
- clog << "e = x*y - y; eval(e.subs(x == 2)) erroneously returned "
- << f.eval() << endl;
- ++result;
- }
- if (!f.expand().is_equal(y)) {
- clog << "e = x*y - y; expand(e.subs(x == 2)) erroneously returned "
- << f.expand() << endl;
- ++result;
- }
return result;
}
<< g << endl;
++result;
}
- if (!g.is_zero()) {
- clog << "e = pow(x,2) + x + 1; f = pow(x,2) + x + 1; g = e-f; g.eval() erroneously returned "
- << g.eval() << endl;
- ++result;
- }
return result;
}
ex r;
try {
- r = pow(b,e).eval();
+ r = pow(b, e);
if (!(r-2*sqrt(ex(2))).is_zero()) {
clog << "2^(3/2) erroneously returned " << r << " instead of 2*sqrt(2)" << endl;
++result;
unsigned result = 0;
ex sqrt2 = sqrt(ex(2));
- ex e = 1 + 2*(sqrt2+1)*(sqrt2-1);
- if (e.real_part() != 3) {
+ ex e1 = 1 + 2*(sqrt2+1)*(sqrt2-1);
+ if (e1.real_part() != 3) {
clog << "real_part(1+2*(sqrt(2)+1)*(sqrt(2)-1)) failed to evaluate to 3\n";
++result;
}
ex sqrt3 = sqrt(ex(3));
- ex f = 2 + 2*(sqrt2+1)*(sqrt2-1) - 2*(sqrt3+1)*(sqrt3-1);
- if (f.real_part() != 0) {
+ ex e2 = 2 + 2*(sqrt2+1)*(sqrt2-1) - 2*(sqrt3+1)*(sqrt3-1);
+ if (e2.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 0;
}
+// Bug in expairseq::evalchildren().
+static unsigned exam_paranoia23()
+{
+ unsigned result = 0;
+ symbol x("x");
+
+ epvector v1;
+ v1.push_back(expair(1, 1));
+ v1.push_back(expair(2*x, -1));
+ ex e1 = add(v1); // Should be e==1-2*x,
+ if (!e1.is_equal(1-2*x)) {
+ clog << "Failure constructing " << e1 << " from add.\n";
+ ++result;
+ }
+
+ epvector v2;
+ v2.push_back(expair(x, 1));
+ v2.push_back(expair(1,-1));
+ ex e2 = mul(v2); // Should be e==x;
+ if (!e2.is_equal(x)) {
+ clog << "Failure constructing " << e2 << " from mul.\n";
+ ++result;
+ }
+
+ return result;
+}
+
+// Bug in sqrfree_yun (fixed 2016-02-02).
+static unsigned exam_paranoia24()
+{
+ unsigned result = 0;
+ symbol x("x");
+ ex e;
+
+ e = (x-1)*(x+1) - x*x + 1; // an unexpanded 0...
+ try {
+ ex f = sqrfree(e);
+ if (!f.is_zero()) {
+ clog << "sqrfree(" << e << ") returns " << f << " instead of 0\n";
+ ++result;
+ }
+ } catch (const exception &err) {
+ clog << "sqrfree(" << e << ") throws " << err.what() << endl;
+ ++result;
+ }
+
+ e = pow(x-1,3) - expand(pow(x-1,3)); // ...still after differentiating...
+ try {
+ ex f = sqrfree(e);
+ if (!f.is_zero()) {
+ clog << "sqrfree(" << e << ") returns " << f << " instead of 0\n";
+ ++result;
+ }
+ } catch (const exception &err) {
+ clog << "sqrfree(" << e << ") throws " << err.what() << endl;
+ ++result;
+ }
+
+ e = pow(x-1,4) - expand(pow(x-1,4)); // ...and after differentiating twice.
+ try {
+ ex f = sqrfree(e);
+ if (!f.is_zero()) {
+ clog << "sqrfree(" << e << ") returns " << f << " instead of 0\n";
+ ++result;
+ }
+ } catch (const exception &err) {
+ clog << "sqrfree(" << e << ") throws " << err.what() << endl;
+ ++result;
+ }
+
+ return result;
+}
+
unsigned exam_paranoia()
{
unsigned result = 0;
result += is_polynomial_false_positive(); cout << '.' << flush;
result += exam_paranoia21(); cout << '.' << flush;
result += exam_paranoia22(); cout << '.' << flush;
+ result += exam_paranoia23(); cout << '.' << flush;
+ result += exam_paranoia24(); cout << '.' << flush;
return result;
}