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

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

All Implemented Interfaces:

SubstitutionRule

public class NoChangeOfVariable
extends java.lang.Object
implements SubstitutionRule

This is a dummy substitution rule that does not change any variable. It is mainly for testing purpose. The substitution is \[ \int_{a}^{b}f(x)dx = \int_{a}^{b}f(t)dt \]

Constructor Summary

NoChangeOfVariable(double a, double b)
Construct an NoChangeOfVariable substitution rule.

Method Summary

UnivariateRealFunction	dx() the first order derivative of the transformation: x'(t) = dx(t)/dt
double	ta() Get the lower limit of the integral.
double	tb() Get the upper limit of the integral.
UnivariateRealFunction	x() the transformation: x(t)

Methods inherited from class java.lang.Object

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

Constructor Detail

NoChangeOfVariable

public NoChangeOfVariable(double a,
                          double b)

Construct an NoChangeOfVariable substitution rule.

Parameters:

a - the lower limit

b - the upper limit

Method Detail

x

public UnivariateRealFunction x()

Description copied from interface: SubstitutionRule

the transformation: x(t)

Specified by:

x in interface SubstitutionRule

Returns:

x(t)

dx

public UnivariateRealFunction dx()

Description copied from interface: SubstitutionRule

the first order derivative of the transformation: x'(t) = dx(t)/dt

Specified by:

dx in interface SubstitutionRule

Returns:

x'(t) = dx(t)/dt

ta

public double ta()

Description copied from interface: SubstitutionRule

Get the lower limit of the integral.

Specified by:

ta in interface SubstitutionRule

Returns:

the lower limit

tb

public double tb()

Description copied from interface: SubstitutionRule

Get the upper limit of the integral.

Specified by:

tb in interface SubstitutionRule

Returns:

the upper limit