* Series expansion test (Laurent and Taylor series). */
/*
- * GiNaC Copyright (C) 1999-2005 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2010 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 "ginac.h"
+using namespace GiNaC;
+
+#include <iostream>
+using namespace std;
static symbol x("x");
// Series exponentiation
static unsigned exam_series4()
{
+ using GiNaC::tgamma;
unsigned result = 0;
ex e, d;
// Series expansion of tgamma(-1)
static unsigned exam_series6()
{
+ using GiNaC::tgamma;
ex e = tgamma(2*x);
ex d = pow(x+1,-1)*numeric(1,4) +
pow(x+1,0)*(numeric(3,4) -
static unsigned exam_series12()
{
using GiNaC::log;
+ using GiNaC::atanh;
unsigned result = 0;
ex e, d;
return result;
}
+// Test of the patch of Stefan Weinzierl that prevents an infinite loop if
+// a factor in a product is a complicated way of writing zero.
+static unsigned exam_series13()
+{
+ unsigned result = 0;
+
+ ex e = (new mul(pow(2,x), (1/x*(-(1+x)/(1-x)) + (1+x)/x/(1-x)))
+ )->setflag(status_flags::evaluated);
+ ex d = Order(x);
+ result += check_series(e,0,d,1);
+
+ return result;
+}
+
+// Test if (1+x)^(1/x) can be expanded.
+static unsigned exam_series14()
+{
+ unsigned result = 0;
+
+ ex e = pow(1+x, sin(x)/x);
+ ex d = 1 + x - pow(x,3)/6 + Order(pow(x,4));
+ try {
+ result += check_series(e,0,d,4);
+ } catch (const pole_error& err) {
+ clog << "series expansion of " << e << " at 0 raised an exception." << endl;
+ ++result;
+ }
+
+ return result;
+}
unsigned exam_pseries()
{
unsigned result = 0;
cout << "examining series expansion" << flush;
- clog << "----------series expansion:" << endl;
result += exam_series1(); cout << '.' << flush;
result += exam_series2(); cout << '.' << flush;
result += exam_series10(); cout << '.' << flush;
result += exam_series11(); cout << '.' << flush;
result += exam_series12(); cout << '.' << flush;
+ result += exam_series13(); cout << '.' << flush;
+ result += exam_series14(); cout << '.' << flush;
- if (!result) {
- cout << " passed " << endl;
- clog << "(no output)" << endl;
- } else {
- cout << " failed " << endl;
- }
return result;
}
+
+int main(int argc, char** argv)
+{
+ return exam_pseries();
+}