ch.sahits.math
Class Integration

java.lang.Object
  ch.sahits.math.Integration

public class Integration
extends java.lang.Object

The integration is realised with the fifth Gau�-Legendre-Formula. The values C0, ..., C4 are the sampling points with the weights W0, ..., W2.
The integral is aproximated by the wheighted mean of the function values at the sampling points. If the function is sufficient differenciable the desiered double precicion is reached with some function calls (maximum some hundred).

Version:

1.0

Author:

Andi Hotz (c) by Sahits.ch 2007

Field Summary

static int	MAXK maximum of the iterations
static double	TOL Tollerence for the desired double precision

Constructor Summary

Integration()

Method Summary

static double	integral(IFunction f, double a, double b) Integrate the function f in the interval [a..b].
static double	intk(IFunction f, double a, double b, int k) function call

Methods inherited from class java.lang.Object

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

Field Detail

TOL

public static final double TOL

Tollerence for the desired double precision

See Also:

Constant Field Values

MAXK

public static final int MAXK

maximum of the iterations

See Also:

Constant Field Values

Constructor Detail

Integration

public Integration()

Method Detail

intk

public static double intk(IFunction f,
                          double a,
                          double b,
                          int k)

function call

Parameters:

f - function

a - begin of the interval

b - end of the intervall

k -

Returns:

approximation

integral

public static double integral(IFunction f,
                              double a,
                              double b)

Integrate the function f in the interval [a..b].

Parameters:

f - function

a - begin of the interval

b - end of the intervall

Returns:

size of the area under (over) the function f between a and b