Class Integration

java.lang.Object

org.episteme.core.mathematics.analysis.Integration

public final class Integration
extends Object

Provides numerical integration capabilities. * @author Silvere Martin-Michiellot

Since:

1.0

Author:

Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
static Integrator	getDefaultIntegrator()	Gets the current default integrator.
static Real	integrate(RealFunction f, Real a, Real b)	Computes the definite integral of a function over the interval [a, b] using the default integrator strategy.
static void	setDefaultIntegrator(Integrator integrator)	Sets the default integrator strategy.
static Real	trapezoidal(RealFunction f, Real a, Real b, int n)	Computes the definite integral using the Trapezoidal rule (simpler, faster, less accurate).

Methods inherited from class Object

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

Method Details

setDefaultIntegrator

public static void setDefaultIntegrator(Integrator integrator)

Sets the default integrator strategy.

Parameters:

integrator - the integrator to use by default

getDefaultIntegrator

public static Integrator getDefaultIntegrator()

Gets the current default integrator.

Returns:

the default integrator

integrate

public static Real integrate(RealFunction f,
 Real a,
 Real b)

Computes the definite integral of a function over the interval [a, b] using the default integrator strategy.

Parameters:

f - the function to integrate

a - the lower bound

b - the upper bound

Returns:

the approximate value of the integral

trapezoidal

public static Real trapezoidal(RealFunction f,
 Real a,
 Real b,
 int n)

Computes the definite integral using the Trapezoidal rule (simpler, faster, less accurate).

Parameters:

f - the function

a - lower bound

b - upper bound

n - number of intervals

Returns:

integral value