net.von_gagern.martin.confoo.fun
Class Clausen

java.lang.Object
  net.von_gagern.martin.confoo.fun.Clausen

public class Clausen
extends Object

Clausen's integral.

This class calculates Clausen's integral defined by

   CLAUSN(x) = integral 0 to x of (-ln(2*sin(t/2))) dt
 

The code uses Chebyshev expansions with the coefficients given to 20 decimal places.

This is a Java port of code originally written in Fortran. The Fortran code this is based upon was last modified 23 January, 1996.

Author:

Dr. Allan J. MacLeod (original Fortran implementation), Martin von Gagern (Java port)

See Also:

MISCFUN

Constructor Summary

Clausen()

Method Summary

static double

cl2(double x) Calculate Clausen's integral.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Clausen

public Clausen()

Method Detail

cl2

public static double cl2(double x)

Calculate Clausen's integral.

Parameters:

x - the upper limit of Clausen's integral

Returns:

the value of Clausen's integral

Throws:

ArithmeticException - if |x| is too large so that it is impossible to reduce the argument to the range [0,2*pi] with any precision