X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Fexam_paranoia.cpp;h=d5f65f8e5e644e94319f78349d512f01f5c74b33;hp=c1df502c9282282311ee536513d326219c23be96;hb=9e80b0d339d1ce83f51e0eb5fb101c41f23f6a71;hpb=68fdf425abf14d016d5f95ee7b9d06a19a3c5926

diff --git a/check/exam_paranoia.cpp b/check/exam_paranoia.cpp
index c1df502c..d5f65f8e 100644
--- a/check/exam_paranoia.cpp
+++ b/check/exam_paranoia.cpp
@@ -6,7 +6,7 @@
  *  these oopses for good, so we run those stupid tests... */
 
 /*
- *  GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2011 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
@@ -20,10 +20,14 @@
  *
  *  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 "ginac.h"
+using namespace GiNaC;
+
+#include <iostream>
+using namespace std;
 
 // 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
@@ -283,7 +287,7 @@ static unsigned exam_paranoia11()
 
 	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;
@@ -370,12 +374,181 @@ static unsigned exam_paranoia15()
 	return result;
 }
 
+// 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();
+}
+
+// Bug in add::eval() could result in numeric terms not being collected into
+// the overall coefficient. Fixed on Sep 22, 2010
+static unsigned exam_paranoia18()
+{
+	ex sqrt2 = sqrt(ex(2));
+	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;
+	}
+	return 0;
+}
+
+// Bug in mul::conjugate when factors are evaluated at branch cuts, reported as
+// Sage bug #10964.
+static unsigned exam_paranoia19()
+{
+	symbol a("a");
+	ex e = conjugate(a*sqrt(ex(-2))*sqrt(ex(-3)));
+	ex c = a*conjugate(sqrt(ex(-2)))*conjugate(sqrt(ex(-3)));
+	if (!subs(e-c, a==42).is_zero()) {
+		clog << "subs(a*conjugate(sqrt(-2))*conjugate(sqrt(-3))-conjugate(a*sqrt(-2)*sqrt(-3)),a==42) failed to evaluate to 0\n";
+		return 1;
+	}
+	return 0;
+}
+
+// Bugs in is_polynomial (fixed 2011-05-20 and 2014-07-26).
+static unsigned exam_paranoia20()
+{
+	unsigned result = 0;
+	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";
+		++result;
+	}
+	ex e2 = sqrt(Pi)*x;
+	if (!e2.is_polynomial(x)) {
+		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;
+}
+
 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;
@@ -392,13 +565,17 @@ unsigned exam_paranoia()
 	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;
+	result += exam_paranoia18();  cout << '.' << flush;
+	result += exam_paranoia19();  cout << '.' << flush;
+	result += exam_paranoia20();  cout << '.' << flush;
+	result += is_polynomial_false_positive(); cout << '.' << flush;
 	
 	return result;
 }
+
+int main(int argc, char** argv)
+{
+	return exam_paranoia();
+}