diagrams-core-1.2.0.3: Core libraries for diagrams EDSL

Diagrams.Core.Points

Contents

Description

A type for points (as distinct from vectors).

Synopsis

# 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 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) AdditiveGroup v => AffineSpace (Point v) VectorSpace v => HasOrigin (Point v) HasLinearMap v => Transformable (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 no intersection points for every query. Arguably it should return a single finite distance for vectors aimed directly at the given point, 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). (OrderedField (Scalar v), InnerSpace v) => Enveloped (Point v) Typeable (* -> *) Point type Diff (Point v) = v type V (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.

_relative :: AffineSpace (Point v) => Point v -> Iso' (Point v) v Source

An isomorphism between points and vectors, given a reference point. This is provided for defining new lenses on points.