| Safe Haskell | None |
|---|---|
| Language | Haskell2010 |
Diagrams.Deform
- newtype Deformation v u n = Deformation (Point v n -> Point u n)
- class Deformable a b where
- asDeformation :: (Additive v, Num n) => Transformation v n -> Deformation v v n
Documentation
newtype Deformation v u n Source
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) | |
| Monoid (Deformation v v n) |
class Deformable a b where Source
Methods
deform' :: N a -> Deformation (V a) (V b) (N a) -> a -> b Source
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 Source
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 | |
| (~) * r (Point u n) => Deformable (Point v n) r | |
| (Metric v, Metric u, OrderedField n, (~) * r (Path u n)) => Deformable (Path v n) r |
asDeformation :: (Additive v, Num n) => Transformation v n -> Deformation v v n Source
asDeformation converts a Transformation to a Deformation by
discarding the inverse transform. This allows reusing
Transformations in the construction of Deformations.