diagrams-lib- Embedded domain-specific language for declarative graphics

Safe HaskellNone




Points in space. For more tools for working with points and vectors, see Data.AffineSpace and Diagrams.Coordinates.



data 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.


Functor Point 
Typeable1 Point 
Eq v => Eq (Point v) 
Data v => Data (Point v) 
Ord v => Ord (Point v) 
Read v => Read (Point v) 
Show v => Show (Point v) 
(OrderedField (Scalar v), InnerSpace v) => Enveloped (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).

HasLinearMap v => Transformable (Point v) 
VectorSpace v => HasOrigin (Point v) 
AdditiveGroup v => AffineSpace (Point v) 
Coordinates v => Coordinates (Point v) 
(InnerSpace v, OrderedField (Scalar v)) => TrailLike [Point v]

A list of points is trail-like; this instance simply computes the vertices of the trail, using trailVertices.

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.

Point-related utilities

centroid :: (VectorSpace v, Fractional (Scalar v)) => [Point v] -> Point vSource

The centroid of a set of n points is their sum divided by n.