Numeric.Tools.Interpolation

Function interpolation.

Sine interpolation using cubic splines:

>>> let tbl = cubicSpline $ tabulateFun (uniformMesh (0,10) 100) sin
>>> tbl `at` 1.786
0.9769239849844867

Type class

class Interpolation a where

Interpolation for arbitraty meshes

Methods

at :: (IndexVal m ~ Double, Mesh m) => a m -> Double -> Double

Interpolate function at some point. Function should not fail outside of mesh however it may and most likely will give nonsensical results

tabulateFun :: (IndexVal m ~ Double, Mesh m) => m -> (Double -> Double) -> a m

Tabulate function

unsafeTabulate :: (IndexVal m ~ Double, Mesh m, Vector v Double) => m -> v Double -> a m

Use table of already evaluated function and mesh. Sizes of mesh and table must coincide but it's not checked. Do not use this function use tabulate instead.

interpolationMesh :: a m -> m

Get mesh.

interpolationTable :: a m -> Vector Double

Get table of function values

Instances

Interpolation CubicSpline

Interpolation LinearInterp

tabulate :: (Interpolation a, IndexVal m ~ Double, Mesh m, Vector v Double) => m -> v Double -> a m

Use table of already evaluated function and mesh. Sizes of mesh and table must coincide.

Linear interpolation

data LinearInterp a

Data for linear interpolation

Instances

Typeable1 LinearInterp

Interpolation LinearInterp

Eq a => Eq (LinearInterp a)

Data a => Data (LinearInterp a)

Show a => Show (LinearInterp a)

Mesh a => Indexable (LinearInterp a)

linearInterp :: LinearInterp a -> LinearInterp a

Function used to fix types

Cubic splines

data CubicSpline a

Natural cubic splines

Instances

Typeable1 CubicSpline

Interpolation CubicSpline

Eq a => Eq (CubicSpline a)

Data a => Data (CubicSpline a)

Show a => Show (CubicSpline a)

cubicSpline :: CubicSpline a -> CubicSpline a

Function used to fix types

module Numeric.Tools.Mesh