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 #
Methods fmap :: (a -> b) -> BernsteinPoly a -> BernsteinPoly b # (<$) :: a -> BernsteinPoly b -> BernsteinPoly a #
Fractional n => Num (BernsteinPoly n) Source #
Methods (+) :: BernsteinPoly n -> BernsteinPoly n -> BernsteinPoly n # (-) :: BernsteinPoly n -> BernsteinPoly n -> BernsteinPoly n # (*) :: BernsteinPoly n -> BernsteinPoly n -> BernsteinPoly n # negate :: BernsteinPoly n -> BernsteinPoly n # abs :: BernsteinPoly n -> BernsteinPoly n # signum :: BernsteinPoly n -> BernsteinPoly n # fromInteger :: Integer -> BernsteinPoly n #
Show n => Show (BernsteinPoly n) Source #
Methods showsPrec :: Int -> BernsteinPoly n -> ShowS # show :: BernsteinPoly n -> String # showList :: [BernsteinPoly n] -> ShowS #
Fractional n => Sectionable (BernsteinPoly n) Source #
Methods splitAtParam :: BernsteinPoly n -> N (BernsteinPoly n) -> (BernsteinPoly n, BernsteinPoly n) Source # section :: BernsteinPoly n -> N (BernsteinPoly n) -> N (BernsteinPoly n) -> BernsteinPoly n Source # reverseDomain :: BernsteinPoly n -> BernsteinPoly n Source #
Fractional n => EndValues (BernsteinPoly n) Source #
Methods atStart :: BernsteinPoly n -> Codomain (BernsteinPoly n) (N (BernsteinPoly n)) Source # atEnd :: BernsteinPoly n -> Codomain (BernsteinPoly n) (N (BernsteinPoly n)) Source #
Num n => DomainBounds (BernsteinPoly n) Source #
Methods domainLower :: BernsteinPoly n -> N (BernsteinPoly n) Source # domainUpper :: BernsteinPoly n -> N (BernsteinPoly n) Source #
Fractional n => Parametric (BernsteinPoly n) Source #
Methods atParam :: BernsteinPoly n -> N (BernsteinPoly n) -> Codomain (BernsteinPoly n) (N (BernsteinPoly n)) Source #
type V (BernsteinPoly n) Source #
type V (BernsteinPoly n) = V1
type N (BernsteinPoly n) Source #
type N (BernsteinPoly n) = n
type Codomain (BernsteinPoly n) Source #
type Codomain (BernsteinPoly n) = V1

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.