com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution
Class StandardInterval

java.lang.Object
  com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution.Substitution
      com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution.StandardInterval

public class StandardInterval
extends Substitution

This transformation is for mapping integral region from [a, b] to [-1, 1].

 /b          /1   b-a     1
 | f(x) dx = |   ----- f(---((b-a)t + (a+b))) dt
 /a          /-1   2      2
 

Field Summary

double	a the lower limit
double	b the upper limit

Fields inherited from class com.numericalmethod.suanshu.analysis.integration.univariate.riemann.substitution.Substitution

dx, x

Constructor Summary

StandardInterval(double a, double b)
Construct an instance of the StandardInterval substitution rule.

Method Summary

double	ta() Get the lower limit of the integral.
double	tb() Get the upper limit of the integral.

Methods inherited from class java.lang.Object

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

Field Detail

a

public final double a

the lower limit

b

public final double b

the upper limit

Constructor Detail

StandardInterval

public StandardInterval(double a,
                        double b)

Construct an instance of the StandardInterval substitution rule.

Parameters:

a - the lower limit

b - the upper limit

Method Detail

ta

public double ta()

Description copied from class: Substitution

Get the lower limit of the integral.

Specified by:

ta in class Substitution

Returns:

the lower limit

tb

public double tb()

Description copied from class: Substitution

Get the upper limit of the integral.

Specified by:

tb in class Substitution

Returns:

the upper limit