Diagrams.TwoD.Segment.Bernstein

Bernstein polynomials, used internally by code to find intersections of paths. This module is probably not of any relevance to most users of diagrams.

Documentation

data BernsteinPoly n

Constructors

BernsteinPoly

Fields

bernsteinDegree :: Int

bernsteinCoeffs :: [n]

Instances

Functor BernsteinPoly

Fractional n => Num (BernsteinPoly n)

Show n => Show (BernsteinPoly n)

Fractional n => Sectionable (BernsteinPoly n)

Fractional n => EndValues (BernsteinPoly n)

Num n => DomainBounds (BernsteinPoly n)

Fractional n => Parametric (BernsteinPoly n)

type V (BernsteinPoly n) = V1

type N (BernsteinPoly n) = n

type Codomain (BernsteinPoly n) = V1

listToBernstein :: Fractional n => [n] -> BernsteinPoly n

Create a bernstein polynomial from a list of coëfficients.

evaluateBernstein :: Fractional n => BernsteinPoly n -> n -> n

Evaluate the bernstein polynomial.

degreeElevate :: Fractional n => BernsteinPoly n -> Int -> BernsteinPoly n

Degree elevate a bernstein polynomial a number of times.

bernsteinDeriv :: Fractional n => BernsteinPoly n -> BernsteinPoly n

Find the derivative of a bernstein polynomial.

evaluateBernsteinDerivs :: Fractional n => BernsteinPoly n -> n -> [n]

Evaluate the bernstein polynomial and its derivatives.