* these oopses for good, so we run those stupid tests... */
/*
- * GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2008 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
*
* 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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
-#include "exams.h"
+#include <iostream>
+#include "ginac.h"
+using namespace std;
+using namespace GiNaC;
// The very first pair of historic problems had its roots in power.cpp and was
// finally resolved on April 27th 1999. (Fixing the first on April 23rd
// actually introduced the second.)
-static unsigned exam_paranoia1(void)
+static unsigned exam_paranoia1()
{
unsigned result = 0;
symbol x("x"), y("y"), z("z");
// And here the second oops which showed up until May 17th 1999. It had to do
// with lexicographic canonicalization and thus showed up only if the variables
// had the names as given here:
-static unsigned exam_paranoia2(void)
+static unsigned exam_paranoia2()
{
unsigned result = 0;
symbol x("x"), y("y"), z("z");
// The third bug was introduced on May 18th 1999, discovered on May 19 and
// fixed that same day. It worked when x was substituted by 1 but not with
// other numbers:
-static unsigned exam_paranoia3(void)
+static unsigned exam_paranoia3()
{
unsigned result = 0;
symbol x("x"), y("y");
}
// The fourth bug was also discovered on May 19th 1999 and fixed immediately:
-static unsigned exam_paranoia4(void)
+static unsigned exam_paranoia4()
{
unsigned result = 0;
symbol x("x");
}
// The fifth oops was discovered on May 20th 1999 and fixed a day later:
-static unsigned exam_paranoia5(void)
+static unsigned exam_paranoia5()
{
unsigned result = 0;
symbol x("x"), y("y");
}
// This one was discovered on Jun 1st 1999 and fixed the same day:
-static unsigned exam_paranoia6(void)
+static unsigned exam_paranoia6()
{
unsigned result = 0;
symbol x("x");
// This one was introduced on June 1st 1999 by some aggressive manual
// optimization. Discovered and fixed on June 2nd.
-static unsigned exam_paranoia7(void)
+static unsigned exam_paranoia7()
{
unsigned result = 0;
symbol x("x"), y("y");
// This one was a result of the rewrite of mul::max_coefficient when we
// introduced the overall_coefficient field in expairseq objects on Oct 1st
// 1999. Fixed on Oct 4th.
-static unsigned exam_paranoia8(void)
+static unsigned exam_paranoia8()
{
unsigned result = 0;
symbol x("x");
// Z[X]. multiply_lcm() forgot to multiply the x-linear term with the LCM of
// the coefficient's denominators (2 in this case). Introduced on Jan 25th
// 2000 and fixed on Jan 31th.
-static unsigned exam_paranoia9(void)
+static unsigned exam_paranoia9()
{
unsigned result = 0;
symbol x("x");
// and on Feb 13th 2000 I found out that things like 2^(3/2) throw an exception
// "power::eval(): pow(0,0) is undefined" instead of simplifying to 2*2^(1/2).
// It was fixed that same day.
-static unsigned exam_paranoia10(void)
+static unsigned exam_paranoia10()
{
unsigned result = 0;
// add::normal() forgot to multiply the denominator of the overall_coeff of
// its expanded and normalized children with the denominator of the expanded
// child (did you get this? Well, never mind...). Fixed on Feb 21th 2000.
-static unsigned exam_paranoia11(void)
+static unsigned exam_paranoia11()
{
unsigned result = 0;
symbol x("x");
ex e = ((-5-2*x)-((2-5*x)/(-2+x))*(3+2*x))/(5-4*x);
ex f = e.normal();
- ex d = (4+10*x+8*pow(x,2))/(x-2)/(5-4*x);
+ ex d = normal((4+10*x+8*pow(x,2))/(x-2)/(5-4*x));
if (!(f - d).expand().is_zero()) {
clog << "normal(" << e << ") returns " << f << " instead of " << d << endl;
// 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)
+static unsigned exam_paranoia12()
{
unsigned result = 0;
symbol x("x");
// 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)
+static unsigned exam_paranoia13()
{
unsigned result = 0;
symbol a("a"), b("b"), c("c");
// A bug introduced on July 19, 2001. quo() and rem() would sometimes call
// vector::reserve() with a negative argument. Fixed on Dec 20, 2001.
-static unsigned exam_paranoia14(void)
+static unsigned exam_paranoia14()
{
unsigned result = 0;
symbol x("x");
// Under certain conditions, power::expand_add_2() could produce non-canonical
// numeric expairs. Fixed on Oct 24, 2002.
-static unsigned exam_paranoia15(void)
+static unsigned exam_paranoia15()
{
unsigned result = 0;
return result;
}
-unsigned exam_paranoia(void)
+// Expanding products containing powers of sums could return results that
+// were not fully expanded. Fixed on Dec 10, 2003.
+static unsigned exam_paranoia16()
+{
+ unsigned result = 0;
+ symbol a("a"), b("b"), c("c"), d("d"), e("e");
+ ex e1, e2, e3;
+
+ e1 = pow(1+a*sqrt(b+c), 2);
+ e2 = e1.expand();
+
+ if (e2.has(pow(a, 2)*(b+c))) {
+ clog << "expand(" << e1 << ") didn't fully expand\n";
+ ++result;
+ }
+
+ e1 = (d*sqrt(a+b)+a*sqrt(c+d))*(b*sqrt(a+b)+a*sqrt(c+d));
+ e2 = e1.expand();
+
+ if (e2.has(pow(a, 2)*(c+d))) {
+ clog << "expand(" << e1 << ") didn't fully expand\n";
+ ++result;
+ }
+
+ e1 = (a+sqrt(b+c))*sqrt(b+c)*(d+sqrt(b+c));
+ e2 = e1.expand();
+
+ if (e2.has(a*(b+c))) {
+ clog << "expand(" << e1 << ") didn't fully expand\n";
+ ++result;
+ }
+
+ e1 = pow(sqrt(a+b)+sqrt(c+d), 3);
+ e2 = e1.expand();
+
+ if (e2.has(3*(a+b)*sqrt(c+d)) || e2.has(3*(c+d)*sqrt(a+b))) {
+ clog << "expand(" << e1 << ") didn't fully expand\n";
+ ++result;
+ }
+
+ e1 = a*(b+c*(d+e));
+ e2 = e1.expand();
+
+ if (e2.has(c*(d+e))) {
+ clog << "expand(" << e1 << ") didn't fully expand\n";
+ ++result;
+ }
+
+ e1 = 2*pow(1+a, 2)/a;
+ e2 = e1.expand();
+
+ if (e2.has(pow(a, 2))) {
+ clog << "expand(" << e1 << ") didn't fully expand\n";
+ ++result;
+ }
+
+ e1 = a*(a+b);
+ e2 = pow(pow(e1, -1), -1);
+
+ if (e2.has(a*b)) {
+ clog << "double reciprocal expanded where it should not\n";
+ ++result;
+ }
+
+ return result;
+}
+
+// Bug in reposition_dummy_indices() could result in correct expression
+// turned into one with inconsistent indices. Fixed on Aug 29, 2006
+static unsigned exam_paranoia17()
+{
+ varidx mu1(symbol("mu1"), 4);
+ varidx mu2(symbol("mu2"), 4);
+ varidx mu3(symbol("mu3"), 4);
+ varidx mu4(symbol("mu4"), 4);
+ varidx mu5(symbol("mu5"), 4);
+ varidx mu6(symbol("mu6"), 4);
+
+ exvector ev2;
+ ev2.push_back(mu3.toggle_variance());
+ ev2.push_back(mu6);
+ ev2.push_back(mu5.toggle_variance());
+ ev2.push_back(mu6.toggle_variance());
+ ev2.push_back(mu5);
+ ev2.push_back(mu3);
+ // notice: all indices are contracted ...
+
+ ex test_cycl = indexed(symbol("A"), sy_cycl(), ev2);
+ test_cycl = test_cycl.simplify_indexed();
+ // ... so there should be zero free indices in the end.
+ return test_cycl.get_free_indices().size();
+}
+
+
+unsigned exam_paranoia()
{
unsigned result = 0;
cout << "examining several historic failures just out of paranoia" << flush;
- clog << "----------several historic failures:" << endl;
result += exam_paranoia1(); cout << '.' << flush;
result += exam_paranoia2(); cout << '.' << flush;
result += exam_paranoia13(); cout << '.' << flush;
result += exam_paranoia14(); cout << '.' << flush;
result += exam_paranoia15(); cout << '.' << flush;
-
- if (!result) {
- cout << " passed " << endl;
- clog << "(no output)" << endl;
- } else {
- cout << " failed " << endl;
- }
+ result += exam_paranoia16(); cout << '.' << flush;
+ result += exam_paranoia17(); cout << '.' << flush;
return result;
}
+
+int main(int argc, char** argv)
+{
+ return exam_paranoia();
+}
git://www.ginac.de / ginac.git / blobdiff