Class NumericalIntegrator

java.lang.Object

com.github.gbenroscience.math.numericalmethods.NumericalIntegrator

public class NumericalIntegrator
extends Object

Author:

GBEMIRO Production-grade high-performance integrator for Java/Android. Uses MethodHandles for ultra-fast reflection-based function evaluation. Thread-safe parallel execution with function cloning. Features: - Auto-detection of singularities (poles, log blows-up, narrow spikes) - Optimal coordinate transformations (linear, logarithmic, semi-infinite) - Deep scan for hidden pathological behavior - Optional parallel evaluation on multi-core systems (thread-safe) - Strict timeout enforcement (1.5-5 seconds configurable) - 15+ digit accuracy for smooth functions, 3-6 digits for singular - Ultra-fast function evaluation via MethodHandles (2x faster than try-catch) Accuracy: 15-16 digits (smooth), 5-6 digits (log singularities), 3-4 digits (power laws)

Field Summary

Fields

Modifier and Type	Field	Description
static final int	GAUSSIAN_STRATEGY
static final int	THIS_STRATEGY

Constructor Summary

Constructors

Constructor	Description
NumericalIntegrator(double xLower, double xUpper)
NumericalIntegrator(Function function, MethodHandle gaussianHandle, double xLower, double xUpper, String[] vars, int[] slots)

Method Summary

Modifier and Type	Method	Description
double	integrate(Function f)	Compute definite integral of f from a to b.
boolean	isParallelSum()
static void	main(String[] args)
void	setParallelSum(boolean parallelSum)
void	setTimeoutMs(long timeoutMs)

Methods inherited from class java.lang.Object

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

Field Details

GAUSSIAN_STRATEGY

public static final int GAUSSIAN_STRATEGY

See Also:

• Constant Field Values

THIS_STRATEGY

public static final int THIS_STRATEGY

See Also:

• Constant Field Values

Constructor Details

NumericalIntegrator

public NumericalIntegrator(double xLower,
 double xUpper)

NumericalIntegrator

public NumericalIntegrator(Function function,
 MethodHandle gaussianHandle,
 double xLower,
 double xUpper,
 String[] vars,
 int[] slots)

Method Details

setParallelSum

public void setParallelSum(boolean parallelSum)

isParallelSum

public boolean isParallelSum()

setTimeoutMs

public void setTimeoutMs(long timeoutMs)

integrate

public double integrate(Function f)
                 throws TimeoutException

Compute definite integral of f from a to b. Handles singularities, oscillations, and pathological functions.

Parameters:

f - Function to integrate

Returns:

∫[a,b] f(x) dx

Throws:

TimeoutException - if computation exceeds timeout

main

public static void main(String[] args)