X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=check%2Fexam_pseries.cpp;h=052868edb27d9c41e15cc8bee15c9ecda8bdac59;hp=7b4473469a2a14c6c075a3812f45aa118bbe58cc;hb=cca88b51436e4b654d16a4d60cd0d1c66fcf5dd6;hpb=846e62e85c483f74d1e253c7841050ea11d70451

diff --git a/check/exam_pseries.cpp b/check/exam_pseries.cpp
index 7b447346..052868ed 100644
--- a/check/exam_pseries.cpp
+++ b/check/exam_pseries.cpp
@@ -3,7 +3,7 @@
  *  Series expansion test (Laurent and Taylor series). */
 
 /*
- *  GiNaC Copyright (C) 1999-2004 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2014 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
@@ -17,10 +17,14 @@
  *
  *  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;
 
 static symbol x("x");
 
@@ -43,9 +47,15 @@ static unsigned exam_series1()
 {
 	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);
@@ -115,11 +125,22 @@ static unsigned exam_series1()
 	    + Order(pow(x, 2));
 	result += check_series(e, 0, d, 2);
 	
-	symbol a("a");
+	e = sqrt(1+x*x) * sqrt(1+2*x*x);
+	d = 1 + Order(pow(x, 2));
+	result += check_series(e, 0, d, 2);
+
 	e = pow(x, 4) * sin(a) + pow(x, 2);
 	d = pow(x, 2) + Order(pow(x, 3));
 	result += check_series(e, 0, d, 3);
 
+	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;
 }
 
@@ -152,6 +173,7 @@ static unsigned exam_series3()
 // Series exponentiation
 static unsigned exam_series4()
 {
+	using GiNaC::tgamma;
 	unsigned result = 0;
 	ex e, d;
 	
@@ -190,6 +212,7 @@ static unsigned exam_series5()
 // 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) -
@@ -307,6 +330,7 @@ static unsigned exam_series11()
 static unsigned exam_series12()
 {
 	using GiNaC::log;
+	using GiNaC::atanh;
 
 	unsigned result = 0;
 	ex e, d;
@@ -331,13 +355,42 @@ static unsigned exam_series12()
 	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;
@@ -351,12 +404,13 @@ unsigned exam_pseries()
 	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();
+}