Approximation (FSharp.Stats) | FSharp.Stats

FSharp.Stats

Approximation Module

Namespace: FSharp.Stats
Assembly: FSharp.Stats.dll
Parent Module: Interpolation

Approximation

Types

Type	Description
Spacing

Functions and values

Function or value	Description
`approx xData yData v ties` Full Usage: `approx xData yData v ties` Parameters: xData : `float seq` - unsorted x values yData : `float seq` - y values of corresponding x values v : `float seq` - Collection of x values of which the y values should be predicted using straight interpolating lines between the input knots. ties : `float seq -> float` - function to transform a collection of y values, that have equal x values (e.g. Seq.average, Seq.max, Seq.min) Returns: `float seq` Collection of predicted v,y tuples.	Return a sequence of points which interpolate the given data points by straight lines. xData : `float seq` unsorted x values yData : `float seq` y values of corresponding x values v : `float seq` Collection of x values of which the y values should be predicted using straight interpolating lines between the input knots. ties : `float seq -> float` function to transform a collection of y values, that have equal x values (e.g. Seq.average, Seq.max, Seq.min) Returns: `float seq` Collection of predicted v,y tuples.
`chebyshevNodes interval n` Full Usage: `chebyshevNodes interval n` Parameters: interval : `Interval<float>` - start and end value of interpolation range n : `int` - number of points that should be placed within the interval (incl. start and end) Returns: `float array` Collection of chebyshev spaced x values.	Creates a collection of ordered x values within a given interval. The spacing is according to Chebyshev to remove runges phenomenon when approximating a given function. www.mscroggs.co.uk/blog/57 interval : `Interval<float>` start and end value of interpolation range n : `int` number of points that should be placed within the interval (incl. start and end) Returns: `float array` Collection of chebyshev spaced x values.
`equalNodes interval n` Full Usage: `equalNodes interval n` Parameters: interval : `Interval<float>` - start and end value of interpolation range n : `int` - number of points that should be placed within the interval (incl. start and end) Returns: `Vector<float>` Collection of equally spaced x values.	Creates a collection of ordered x values within a given interval. The spacing of the values is always the same. interval : `Interval<float>` start and end value of interpolation range n : `int` number of points that should be placed within the interval (incl. start and end) Returns: `Vector<float>` Collection of equally spaced x values.
`regularizeValues xData yData ties` Full Usage: `regularizeValues xData yData ties` Parameters: xData : `float seq` - unsorted x values yData : `float seq` - y values of corresponding x values ties : `float seq -> float` - function to transform a collection of y values, that have equal x values (e.g. Seq.average, Seq.max, Seq.min) Returns: `(float * float) seq` Collection of sorted x,y tuples with unique x values	Zips x and y values, sorts them by x values and applies a given function to y values of x duplicate (like R! regularize.values). 1. pairs x-y values 2. filters non finite entries and sorts value pairs by x values 3. handles y values of x value ties by given function xData : `float seq` unsorted x values yData : `float seq` y values of corresponding x values ties : `float seq -> float` function to transform a collection of y values, that have equal x values (e.g. Seq.average, Seq.max, Seq.min) Returns: `(float * float) seq` Collection of sorted x,y tuples with unique x values