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CurveBaseCubicSplineHorner1stDerivative Method

Return the first derivative P'(u) of the piecewise cubic curve evaluated using Horner's scheme.

Namespace: Altaxo.Calc.Interpolation
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)
Syntax
C#
public double CubicSplineHorner1stDerivative(
	double u,
	IReadOnlyList<double> x,
	IReadOnlyList<double> y,
	IReadOnlyList<double> y1,
	IReadOnlyList<double> y2,
	IReadOnlyList<double> y3
)

Parameters

u  Double
The abscissa value at which the derivative is to be evaluated.
x  IReadOnlyListDouble
The vector (lo,hi) of data abscissa (must be strictly increasing).
y  IReadOnlyListDouble
The vectors (lo,hi) of ordinate (not used for derivative calculation but kept for signature compatibility).
y1  IReadOnlyListDouble
Contains the 1st derivative y'(x(i)).
y2  IReadOnlyListDouble
Contains the 2nd derivative y''(x(i)).
y3  IReadOnlyListDouble
Contains the 3rd derivative y'''(x(i)).

Return Value

Double
The value of the first derivative at u. If x is empty, returns 0.0.
See Also