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ErrorFunctionFromToEvaluate(Double, Double, Double, ReadOnlySpanDouble, ReadOnlySpanDouble) Method

Evaluates a smoothed step function that transitions from a left polynomial to a right polynomial value using an error function profile.

Namespace: Altaxo.Calc.FitFunctions.Transitions
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)
Syntax
C#
Copy
public static double Evaluate(
	double x,
	double xc,
	double sigma,
	ReadOnlySpan<double> coeffs_left,
	ReadOnlySpan<double> coeffs_right
)

Parameters

x  Double
The input value at which to evaluate the function.
xc  Double
The center point of the transition, where the function value is halfway between the starting and ending values.
sigma  Double
The standard deviation that controls the width of the transition region. Must be positive.
coeffs_left  ReadOnlySpanDouble
The coefficients of the polynomial for the left segment (before the transition).
coeffs_right  ReadOnlySpanDouble
The coefficients of the polynomial for the right segment (after the transition).

Return Value

Double
The value of the smoothed step function at the specified input value.
Remarks
This function produces a continuous transition from the left to the right polynomial, centered at xc, with the width of the transition determined by sigma. It is commonly used for modeling gradual transitions or soft thresholds.
See Also