Copyright	(c) 2014-2015 diagrams-lib team (see LICENSE)
License	BSD-style (see LICENSE)
Maintainer	diagrams-discuss@googlegroups.com
Safe Haskell	Safe
Language	Haskell2010

Diagrams.TwoD.Segment.Bernstein

Description

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

Synopsis

Documentation

data BernsteinPoly n Source

Constructors

BernsteinPoly
Fields bernsteinDegree :: Int bernsteinCoeffs :: [n]

Instances

Functor BernsteinPoly Source
Fractional n => Num (BernsteinPoly n) Source
Show n => Show (BernsteinPoly n) Source
Fractional n => Sectionable (BernsteinPoly n) Source
Fractional n => EndValues (BernsteinPoly n) Source
Num n => DomainBounds (BernsteinPoly n) Source
Fractional n => Parametric (BernsteinPoly n) Source
type V (BernsteinPoly n) = V1 Source
type N (BernsteinPoly n) = n Source
type Codomain (BernsteinPoly n) = V1 Source

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

Create a bernstein polynomial from a list of coëfficients.

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

Evaluate the bernstein polynomial.

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

Degree elevate a bernstein polynomial a number of times.

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

Find the derivative of a bernstein polynomial.

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

Evaluate the bernstein polynomial and its derivatives.