Class CubicSplineInterpolator

java.lang.Object

org.episteme.core.mathematics.analysis.interpolation.CubicSplineInterpolator

public class CubicSplineInterpolator
extends Object

Cubic spline interpolation for smooth curve fitting.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
CubicSplineInterpolator(double[] x, double[] y)	Constructs a natural cubic spline through the given points.

Method Summary

Modifier and Type	Method	Description
double	derivative(double xval)	Returns the derivative at the given point.
double	interpolate(double xval)	Interpolates the value at the given point.
double	secondDerivative(double xval)	Returns the second derivative at the given point.

Methods inherited from class Object

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

Constructor Details

CubicSplineInterpolator

public CubicSplineInterpolator(double[] x,
 double[] y)

Constructs a natural cubic spline through the given points.

Parameters:

x - x-coordinates (must be strictly increasing)

y - y-coordinates

Method Details

interpolate

public double interpolate(double xval)

Interpolates the value at the given point.

Parameters:

xval - the x-coordinate

Returns:

interpolated y-value

derivative

public double derivative(double xval)

Returns the derivative at the given point.

secondDerivative

public double secondDerivative(double xval)

Returns the second derivative at the given point.