public class SimpsonsIntegrator extends IterativeMethod
The extended Simpson's rule for numerically integrating functions.
For example, to evaluate definite integrals for sine, first a
Function is defined:
Function sine = new Function() {
public double evaluate(double x) {
return Math.sin(x);
}}
};
Then, a Simpson's integrator is created with the above function:
SimpsonsIntegrator integrator = new SimpsonsIntegrator(sine);
Lastly, evaluating definite integrals is accomplished using the
integrate(double, double) method:
// integrate sine from 0 to Pi. double two = integrator.integrate(0.0, Math.PI); // integrate sine from Pi/2 to 2 Pi. double one = integrator.integrate(Math.PI / 2.0, Math.PI);
References:
IterativeMethod.IterativeState| Constructor and Description |
|---|
SimpsonsIntegrator(Function f)
Create an integrator for the given function.
|
SimpsonsIntegrator(Function f,
int iterations,
double error)
Create an integrator for the given function.
|
| Modifier and Type | Method and Description |
|---|---|
Function |
getFunction()
Access the target function.
|
double |
integrate(double a,
double b)
Evaluate the definite integral from a to b.
|
void |
setFunction(Function f)
Modify the target function.
|
getMaximumIterations, getMaximumRelativeError, iterate, setMaximumIterations, setMaximumRelativeErrorpublic SimpsonsIntegrator(Function f)
f - the target function.public SimpsonsIntegrator(Function f, int iterations, double error)
f - the target function.iterations - maximum number of iterations.error - maximum relative error.public Function getFunction()
public double integrate(double a,
double b)
throws NumericException
a - the lower limit of integration.b - the upper limit of integration.NumericException - if the integral can not be evaluated.public void setFunction(Function f)
f - the new target function.JHepSim. A part of HSTOOLS. version-1.2