public final class Integral
extends java.lang.Object
Modifier and Type | Method | Description |
---|---|---|
static double[][] |
fillArray(Function f,
double start,
double stop,
double tol,
double[][] data) |
Fills the given data array with the intgral of the given function.
|
static double[][] |
fillArray(Function f,
double start,
double stop,
double tol,
int n) |
Fills a data array with the integral of the given function.
|
static double |
ode(Function f,
double start,
double stop,
double tol) |
Computes the integral of the function using an ODE solver.
|
static double |
romberg(Function f,
double a,
double b,
int n,
double tol) |
Integrates the function using Romberg's algorithm based on Richardson's deferred approach.
|
static double |
simpson(double[] f,
double h) |
Uses Simpson's rule to find the area of an array representing a
function that's been evaluated at N intervals of size h, where N is
an odd integer.
|
static double |
simpson(Function f,
double start,
double stop,
int n) |
Numerical integration using Simpson's rule.
|
static double |
simpson(Function f,
double start,
double stop,
int n,
double tol) |
Numerical integration using Simpson's rule.
|
static double |
trapezoidal(Function f,
double start,
double stop,
int n,
double tol) |
Integrates the function using the trapezoidal method.
|
public static double trapezoidal(Function f, double start, double stop, int n, double tol)
f
- the functionstart
- the first ordinate.stop
- the last ordinate.n
- the number of partitionstol
- relative tolerancepublic static double simpson(Function f, double start, double stop, int n) throws java.lang.IllegalArgumentException
f
- a function.start
- the first ordinate.stop
- the last ordinate.n
- the number of partitionsjava.lang.IllegalArgumentException
public static double simpson(Function f, double start, double stop, int n, double tol)
f
- the functionstart
- the first ordinate.stop
- the last ordinate.n
- minimum number of partitionstol
- relative tolerancepublic static double romberg(Function f, double a, double b, int n, double tol)
f
- the functiona
- b
- n
- tol
- tolerancepublic static double simpson(double[] f, double h)
public static double ode(Function f, double start, double stop, double tol)
f
- the functionstart
- stop
- tol
- relative tolerancepublic static double[][] fillArray(Function f, double start, double stop, double tol, int n)
f
- Function to be integratedstart
- double start of integralstop
- double end of integraltol
- double computation tolerancen
- int number of data pointspublic static double[][] fillArray(Function f, double start, double stop, double tol, double[][] data)
f
- Function to be integratedstart
- double start of integralstop
- double end of integraltol
- double computation tolerancedata
- double[][]