Maintainer | byorgey@cis.upenn.edu |
---|---|

Safe Haskell | None |

A type for *points* (as distinct from vectors), with an appropriate
AffineSpace instance.

- newtype Point v = P v
- unPoint :: Point v -> v
- origin :: AdditiveGroup v => Point v
- (*.) :: VectorSpace v => Scalar v -> Point v -> Point v
- mirror :: AdditiveGroup v => Point v -> Point v
- relative :: AffineSpace p => p -> (Diff p -> Diff p) -> p -> p
- relative2 :: AffineSpace p => p -> (Diff p -> Diff p -> Diff p) -> p -> p -> p
- relative3 :: AffineSpace p => p -> (Diff p -> Diff p -> Diff p -> Diff p) -> p -> p -> p -> p
- reflectThrough :: AffineSpace p => p -> p -> p

# Points

`Point`

is a newtype wrapper around vectors used to represent
points, so we don't get them mixed up. The distinction between
vectors and points is important: translations affect points, but
leave vectors unchanged. Points are instances of the
`AffineSpace`

class from Data.AffineSpace.

P v |

origin :: AdditiveGroup v => Point vSource

The origin of the vector space `v`

.

# Reflection through a point

relative :: AffineSpace p => p -> (Diff p -> Diff p) -> p -> pSource

Apply a transformation relative to the given point.

relative2 :: AffineSpace p => p -> (Diff p -> Diff p -> Diff p) -> p -> p -> pSource

Apply a transformation relative to the given point.

relative3 :: AffineSpace p => p -> (Diff p -> Diff p -> Diff p -> Diff p) -> p -> p -> p -> pSource

Apply a transformation relative to the given point.

reflectThrough :: AffineSpace p => p -> p -> pSource

Mirror a point through a given point.