* Series expansion test (Laurent and Taylor series). */
/*
- * GiNaC Copyright (C) 1999-2010 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2019 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
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);
+ e = a * (1 / (x * sin(x)) - sin(x) / x);
+ d = a * pow(x, -2) + Order(pow(x, -1));
+ result += check_series(e, 0, d, -1);
+
return result;
}
// 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 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;
result += exam_series11(); cout << '.' << flush;
result += exam_series12(); cout << '.' << flush;
result += exam_series13(); cout << '.' << flush;
+ result += exam_series14(); cout << '.' << flush;
return result;
}