Safe Haskell	None
Language	Haskell2010

Diagrams.Deform

Synopsis

newtype Deformation v u n = Deformation (Point v n -> Point u n)
class Deformable a b where
- deform' :: N a -> Deformation (V a) (V b) (N a) -> a -> b
- deform :: Deformation (V a) (V b) (N a) -> a -> b
asDeformation :: (Additive v, Num n) => Transformation v n -> Deformation v v n

Documentation

newtype Deformation v u n #

Deformations are a superset of the affine transformations represented by the Transformation type. In general they are not invertible. Deformations include projective transformations. Deformation can represent other functions from points to points which are "well-behaved", in that they do not introduce small wiggles.

Constructors

Deformation (Point v n -> Point u n)

Instances

Semigroup (Deformation v v n) #
Instance details Defined in Diagrams.Deform Methods (<>) :: Deformation v v n -> Deformation v v n -> Deformation v v n # sconcat :: NonEmpty (Deformation v v n) -> Deformation v v n # stimes :: Integral b => b -> Deformation v v n -> Deformation v v n #
Monoid (Deformation v v n) #
Instance details Defined in Diagrams.Deform Methods mempty :: Deformation v v n # mappend :: Deformation v v n -> Deformation v v n -> Deformation v v n # mconcat :: [Deformation v v n] -> Deformation v v n #

class Deformable a b where #

Methods

deform' :: N a -> Deformation (V a) (V b) (N a) -> a -> b #

deform' epsilon d a transforms a by the deformation d. If the type of a is not closed under projection, approximate to accuracy epsilon.

deform :: Deformation (V a) (V b) (N a) -> a -> b #

deform d a transforms a by the deformation d. If the type of a is not closed under projection, deform should call deform' with some reasonable default value of epsilon.

Instances

(Metric v, Metric u, OrderedField n, r ~ Located (Trail u n)) => Deformable (Located (Trail v n)) r #
Instance details Defined in Diagrams.Deform Methods deform' :: N (Located (Trail v n)) -> Deformation (V (Located (Trail v n))) (V r) (N (Located (Trail v n))) -> Located (Trail v n) -> r # deform :: Deformation (V (Located (Trail v n))) (V r) (N (Located (Trail v n))) -> Located (Trail v n) -> r #
r ~ Point u n => Deformable (Point v n) r #
Instance details Defined in Diagrams.Deform Methods deform' :: N (Point v n) -> Deformation (V (Point v n)) (V r) (N (Point v n)) -> Point v n -> r # deform :: Deformation (V (Point v n)) (V r) (N (Point v n)) -> Point v n -> r #
(Metric v, Metric u, OrderedField n, r ~ Path u n) => Deformable (Path v n) r #
Instance details Defined in Diagrams.Deform Methods deform' :: N (Path v n) -> Deformation (V (Path v n)) (V r) (N (Path v n)) -> Path v n -> r # deform :: Deformation (V (Path v n)) (V r) (N (Path v n)) -> Path v n -> r #

asDeformation :: (Additive v, Num n) => Transformation v n -> Deformation v v n #

asDeformation converts a Transformation to a Deformation by discarding the inverse transform. This allows reusing Transformations in the construction of Deformations.