Interpolation.InverseLinear Method

public static double InverseLinear(
	double[] xValues,
	double[] yValues,
	double y
)

Public Shared Function InverseLinear ( 
	xValues As Double(),
	yValues As Double(),
	y As Double
) As Double

public:
static double InverseLinear(
	array<double>^ xValues, 
	array<double>^ yValues, 
	double y
)

static member InverseLinear : 
        xValues : float[] * 
        yValues : float[] * 
        y : float -> float 

Parameters

xValues  Double[]

The x-coordinates of the data points. Must be strictly increasing.

yValues  Double[]

The y-coordinates of the data points. Must be strictly monotone (increasing or decreasing).

y  Double

The y-coordinate for which to find the corresponding x-coordinate.

Return Value

This method performs the inverse operation of linear interpolation: given a y-value, it finds the corresponding x-value. This method requires yValues to be strictly monotone (either all increasing or all decreasing) to ensure a unique solution. The monotonicity direction is detected automatically.

For non-monotone data where multiple solutions may exist, use InverseLinearBefore(Double[], Double[], Double, Double), InverseLinearAfter(Double[], Double[], Double, Double), or InverseLinearNear(Double[], Double[], Double, Double) to select among multiple solutions.

This method uses binary search for optimal performance and makes no allocations.

public static double InverseLinear(
	ReadOnlySpan<double> xValues,
	ReadOnlySpan<double> yValues,
	double y,
	OutOfRangeMode outOfRange = OutOfRangeMode.Clamp
)

Public Shared Function InverseLinear ( 
	xValues As ReadOnlySpan(Of Double),
	yValues As ReadOnlySpan(Of Double),
	y As Double,
	Optional outOfRange As OutOfRangeMode = OutOfRangeMode.Clamp
) As Double

public:
static double InverseLinear(
	ReadOnlySpan<double> xValues, 
	ReadOnlySpan<double> yValues, 
	double y, 
	OutOfRangeMode outOfRange = OutOfRangeMode::Clamp
)

static member InverseLinear : 
        xValues : ReadOnlySpan<float> * 
        yValues : ReadOnlySpan<float> * 
        y : float * 
        ?outOfRange : OutOfRangeMode 
(* Defaults:
        let _outOfRange = defaultArg outOfRange OutOfRangeMode.Clamp
*)
-> float 

Parameters

xValues  ReadOnlySpan<Double>

The x-coordinates of the data points. Must be strictly increasing.

yValues  ReadOnlySpan<Double>

The y-coordinates of the data points. Must be strictly monotone (increasing or decreasing).

y  Double

The y-coordinate for which to find the corresponding x-coordinate.

outOfRange  OutOfRangeMode  (Optional)

 

Return Value

This method performs the inverse operation of linear interpolation: given a y-value, it finds the corresponding x-value. This method requires yValues to be strictly monotone (either all increasing or all decreasing) to ensure a unique solution. The monotonicity direction is detected automatically.

For non-monotone data where multiple solutions may exist, use InverseLinearBefore(ReadOnlySpan<Double>, ReadOnlySpan<Double>, Double, Double), InverseLinearAfter(ReadOnlySpan<Double>, ReadOnlySpan<Double>, Double, Double), or InverseLinearNear(ReadOnlySpan<Double>, ReadOnlySpan<Double>, Double, Double) to select among multiple solutions.

This method uses binary search for optimal performance and makes no allocations.

Reference