Diagrams.Core.Points

A type for points (as distinct from vectors).

Points

newtype Point v

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.

Constructors

P v

Instances

Functor Point

Typeable1 Point

Eq v => Eq (Point v)

(Typeable (Point v), Data v) => Data (Point v)

(Eq (Point v), Ord v) => Ord (Point v)

Read v => Read (Point v)

Show v => Show (Point v)

(AdditiveGroup (Diff (Point v)), AdditiveGroup v) => AffineSpace (Point v)

(VectorSpace (V (Point v)), VectorSpace v) => HasOrigin (Point v)

(HasLinearMap (V (Point v)), HasLinearMap v) => Transformable (Point v)

(Ord (Scalar (V (Point v))), VectorSpace (V (Point v)), Ord (Scalar v), VectorSpace v) => Traced (Point v)

The trace of a single point is the empty trace, i.e. the one which returns positive infinity for every query. Arguably it should return a finite distance for vectors aimed directly at the given point and infinity for everything else, but due to floating-point inaccuracy this is problematic. Note that the envelope for a single point is *not* the empty envelope (see Diagrams.Core.Envelope).

(InnerSpace (V (Point v)), OrderedField (Scalar (V (Point v))), OrderedField (Scalar v), InnerSpace v) => Enveloped (Point v)

Newtype (Point v) v

origin :: AdditiveGroup v => Point v

The origin of the vector space v.

(*.) :: VectorSpace v => Scalar v -> Point v -> Point v

Scale a point by a scalar.