vector-space-0.0: Vector & affine spaces, plus Source code Contents Index

Data.AffineSpace Stability experimental Maintainer conal@conal.net, andygill@ku.edu

Description

Affine spaces.

Synopsis

class VectorSpace v s => AffineSpace p v s | p -> v s where (.-.) :: p -> p -> v (.+^) :: p -> v -> p (.-^) :: (Num s, AffineSpace p v s) => p -> v -> p distanceSq :: (AffineSpace p v s, InnerSpace v s) => p -> p -> s distance :: (Floating s, AffineSpace p v s, InnerSpace v s) => p -> p -> s alerp :: AffineSpace p v s => p -> p -> s -> p

Documentation

class VectorSpace v s => AffineSpace p v s | p -> v s where Source

Methods (.-.) :: p -> p -> v Source Subtract points (.+^) :: p -> v -> p Source Point plus vector Instances AffineSpace Double Double Double AffineSpace Float Float Float

(.-^) :: (Num s, AffineSpace p v s) => p -> v -> p Source

Point minus vector

distanceSq :: (AffineSpace p v s, InnerSpace v s) => p -> p -> s Source

Square of the distance between two points. Sometimes useful for efficiency. See also distance.

distance :: (Floating s, AffineSpace p v s, InnerSpace v s) => p -> p -> s Source

Distance between two points. See also distanceSq.

alerp :: AffineSpace p v s => p -> p -> s -> p Source

Affine linear interpolation. Varies from p to p' as s varies from 0 to 1. See also lerp (on vector spaces).

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