Interpolation (FSharp.Stats) | FSharp.Stats

FSharp.Stats

Interpolation Type

Namespace: FSharp.Stats
Assembly: FSharp.Stats.dll
Base Type: obj

This type contains functionalities to perform various interpolation methods for two dimensional data. It summarizes functions contained within the interpolation module.

Constructors

Constructor	Description
`Interpolation()` Full Usage: `Interpolation()` Returns: `Interpolation`	Returns: `Interpolation`

Static members

Static member	Description
`Interpolation.getFirstDerivative coef` Full Usage: `Interpolation.getFirstDerivative coef` Parameters: coef : `InterpolationCoefficients` - Interpolation coefficients Returns: `float -> float` Function that takes an x value and returns the corresponding slope.	Takes interpolation coefficients to create a function that calculates the slope of the interpolation function. X values that don't lie within the range of the input x values, may fail or are predicted using the nearest interpolation line! coef : `InterpolationCoefficients` Interpolation coefficients Returns: `float -> float` Function that takes an x value and returns the corresponding slope. Example // e.g. days since a certain event let xData = vector [\|0.;1.;5.;4.;3.;\|] // some measured feature let yData = vector [\|1.;5.;4.;13.;17.\|] // get slopes and intersects for interpolating straight lines let coefficients = Interpolation.interpolate(xData,yData,InterpolationMethod.LinearSpline) // get coefficient for interpolating straight lines let coefLinSpl = Interpolation.interpolate(xData,yData,InterpolationMethod.LinearSpline) // get first derivative let func = Interpolation.getFirstDerivative(coefLinSpl) // get slope at x=3.4 func 3.4 val xData: obj val yData: obj val coefficients: obj val coefLinSpl: obj val func: (float -> obj)
`Interpolation.getIntegralBetween (coef, x1, x2)` Full Usage: `Interpolation.getIntegralBetween (coef, x1, x2)` Parameters: coef : `InterpolationCoefficients` - Interpolation coefficients x1 : `float` - interval start x2 : `float` - interval end Returns: `float` area under the curve between x1 and x2	Takes interpolation coefficients and two x values to calculate the area under the curve within the region flanked by x1 and x2. coef : `InterpolationCoefficients` Interpolation coefficients x1 : `float` interval start x2 : `float` interval end Returns: `float` area under the curve between x1 and x2
`Interpolation.getSecondDerivative coef` Full Usage: `Interpolation.getSecondDerivative coef` Parameters: coef : `InterpolationCoefficients` - Interpolation coefficients Returns: `float -> float` Function that takes an x value and returns the corresponding curvature.	Takes interpolation coefficients to create a function that calculates the curvature of the interpolation function. X values that don't lie within the range of the input x values, may fail or are predicted using the nearest interpolation line! coef : `InterpolationCoefficients` Interpolation coefficients Returns: `float -> float` Function that takes an x value and returns the corresponding curvature. Example // e.g. days since a certain event let xData = vector [\|0.;1.;5.;4.;3.;\|] // some measured feature let yData = vector [\|1.;5.;4.;13.;17.\|] // get slopes and intersects for interpolating straight lines let coefficients = Interpolation.interpolate(xData,yData,InterpolationMethod.Polynomial) // get coefficients for interpolating polynomial let coef = Interpolation.interpolate(xData,yData,InterpolationMethod.PolynomialCoef) // get second derivative let func = Interpolation.getSecondDerivative(coef) // get curvature at x=3.4 func 3.4 val xData: obj val yData: obj val coefficients: obj val coef: obj val func: (float -> obj)
`Interpolation.interpolate (xValues, yValues, method)` Full Usage: `Interpolation.interpolate (xValues, yValues, method)` Parameters: xValues : `float array` - Input x values. Must not contain duplicates. yValues : `float array` - Input y values method : `InterpolationMethod` - Interpolation Method Returns: `InterpolationCoefficients` Coefficients for interpolation function.	Determines interpolation coefficients for two dimensional data. CubicSpline, AkimaSpline and HermiteSpline use piecewise cubic splines. xValues : `float array` Input x values. Must not contain duplicates. yValues : `float array` Input y values method : `InterpolationMethod` Interpolation Method Returns: `InterpolationCoefficients` Coefficients for interpolation function. Example `// e.g. days since a certain event let xData = vector [\|0.;1.;5.;4.;3.;\|] // some measured feature let yData = vector [\|1.;5.;4.;13.;17.\|] // get coefficient for interpolating straight lines Interpolation.interpolate(xData,yData,InterpolationMethod.LinearSpline) // get coefficient for interpolating cubic spline with periodic behaviour Interpolation.interpolate(xData,yData,InterpolationMethod.CubicSpline CubicSpline.BoundaryCondition.Periodic)` val xData: obj val yData: obj
`Interpolation.predict coef` Full Usage: `Interpolation.predict coef` Parameters: coef : `InterpolationCoefficients` - Interpolation coefficients Returns: `float -> float` Function that takes an x value and returns the corresponding y value.	Takes interpolation coefficients to create a interpolation function. X values that don't lie within the range of the input x values, may fail or are predicted using the nearest interpolation line! coef : `InterpolationCoefficients` Interpolation coefficients Returns: `float -> float` Function that takes an x value and returns the corresponding y value. Example // e.g. days since a certain event let xData = vector [\|0.;1.;5.;4.;3.;\|] // some measured feature let yData = vector [\|1.;5.;4.;13.;17.\|] // get slopes and intersects for interpolating straight lines let coefficients = Interpolation.interpolate(xData,yData,InterpolationMethod.LinearSpline) // get coefficient for interpolating straight lines let coefLinSpl = Interpolation.interpolate(xData,yData,InterpolationMethod.LinearSpline) // get interpolating function let func = Interpolation.predict(coefLinSpl) // get y value at x=3.4 func 3.4 val xData: obj val yData: obj val coefficients: obj val coefLinSpl: obj val func: (float -> obj)