| Copyright | (C) 2012-2015 Edward Kmett |
|---|---|
| License | BSD-style (see the file LICENSE) |
| Maintainer | Edward Kmett <ekmett@gmail.com> |
| Stability | experimental |
| Portability | non-portable |
| Safe Haskell | Safe |
| Language | Haskell2010 |
Linear.Plucker.Coincides
Description
Utility for working with Plücker coordinates for lines in 3d homogeneous space.
Documentation
data Coincides a where Source #
When lines are represented as Plücker coordinates, we have the
ability to check for both directed and undirected
equality. Undirected equality between Lines (or a Line and a
Ray) checks that the two lines coincide in 3D space. Directed
equality, between two Rays, checks that two lines coincide in 3D,
and have the same direction. To accomodate these two notions of
equality, we use an Eq instance on the Coincides data type.
For example, to check the directed equality between two lines,
p1 and p2, we write, Ray p1 == Ray p2.