* Series expansion test (Laurent and Taylor series). */
/*
- * GiNaC Copyright (C) 1999-2004 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2007 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;
static symbol x("x");
{
using GiNaC::log;
+ symbol a("a");
+ symbol b("b");
unsigned result = 0;
ex e, d;
+ e = pow(a+b, x);
+ d = 1 + Order(pow(x, 1));
+ result += check_series(e, 0, d, 1);
+
e = sin(x);
d = x - pow(x, 3) / 6 + pow(x, 5) / 120 - pow(x, 7) / 5040 + Order(pow(x, 8));
result += check_series(e, 0, d);
d = 1 + Order(pow(x, 2));
result += check_series(e, 0, d, 2);
- symbol a("a");
e = pow(x, 4) * sin(a) + pow(x, 2);
d = pow(x, 2) + Order(pow(x, 3));
result += check_series(e, 0, d, 3);
- symbol b("b");
e = log(a*x + b*x*x*log(x));
d = log(a*x) + b/a*log(x)*x - pow(b/a, 2)/2*pow(log(x)*x, 2) + Order(pow(x, 3));
result += check_series(e, 0, d, 3);
+ e = pow((x+a), b);
+ d = pow(a, b) + (pow(a, b)*b/a)*x + (pow(a, b)*b*b/a/a/2 - pow(a, b)*b/a/a/2)*pow(x, 2) + Order(pow(x, 3));
+ result += check_series(e, 0, d, 3);
+
return result;
}
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;
+}
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;
- if (!result) {
- cout << " passed " << endl;
- clog << "(no output)" << endl;
- } else {
- cout << " failed " << endl;
- }
return result;
}
+
+int main(int argc, char** argv)
+{
+ return exam_pseries();
+}