| Copyright | (c) 2014-2015 diagrams-lib team (see LICENSE) |
|---|---|
| License | BSD-style (see LICENSE) |
| Maintainer | diagrams-discuss@googlegroups.com |
| Safe Haskell | Safe-Inferred |
| 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.
- data BernsteinPoly n = BernsteinPoly {
- bernsteinDegree :: Int
- bernsteinCoeffs :: [n]
- listToBernstein :: Fractional n => [n] -> BernsteinPoly n
- evaluateBernstein :: Fractional n => BernsteinPoly n -> n -> n
- degreeElevate :: Fractional n => BernsteinPoly n -> Int -> BernsteinPoly n
- bernsteinDeriv :: Fractional n => BernsteinPoly n -> BernsteinPoly n
- evaluateBernsteinDerivs :: Fractional n => BernsteinPoly n -> n -> [n]
Documentation
data BernsteinPoly n Source
Constructors
| BernsteinPoly | |
Fields
| |
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 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.