ClampedCubicSplineParabolicInterpolation Method

Handles the case when there are exactly three tabulated points.

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

protected override double ParabolicInterpolation(
	double x
)

Protected Overrides Function ParabolicInterpolation ( 
	x As Double
) As Double

protected:
virtual double ParabolicInterpolation(
	double x
) override

abstract ParabolicInterpolation : 
        x : float -> float 
override ParabolicInterpolation : 
        x : float -> float

Parameters

x Double: Point to interpolate.

Return Value

Double
Interpolated value.

Remarks

A parabola is fitted through the three tabulated points and is used to interpolate values between the left and right endpoints. If the point to be interpolated is less than the left endpoint the interpolated value y is computed so that the slope through the points (x, y) and (x0, y0) is the slope that is specifed for the left endpoint. If the point to be interpolated is greater than the right endpoint the interpolated value y is computed so that the slope through the points (x, y) and (xn, yn) is the slope that is specifed for the right endpoint. Here (x0, y0) and (xn, yn) denote the left and right endpoints, respectively.

Reference

ClampedCubicSpline Class

CenterSpace.NMath.Core Namespace