diff options
Diffstat (limited to 'Spear/Math/Plane.hs')
-rw-r--r-- | Spear/Math/Plane.hs | 21 |
1 files changed, 13 insertions, 8 deletions
diff --git a/Spear/Math/Plane.hs b/Spear/Math/Plane.hs index b20740c..08e4570 100644 --- a/Spear/Math/Plane.hs +++ b/Spear/Math/Plane.hs | |||
@@ -6,12 +6,9 @@ module Spear.Math.Plane | |||
6 | ) | 6 | ) |
7 | where | 7 | where |
8 | 8 | ||
9 | |||
10 | import Spear.Math.Vector | 9 | import Spear.Math.Vector |
11 | 10 | ||
12 | 11 | data PointPlanePos = Front | Back | Contained deriving (Eq, Show) | |
13 | data PointPlanePos = Front | Back | Contained deriving (Eq, Ord, Show) | ||
14 | |||
15 | 12 | ||
16 | data Plane = Plane | 13 | data Plane = Plane |
17 | { n :: {-# UNPACK #-} !Vector3, | 14 | { n :: {-# UNPACK #-} !Vector3, |
@@ -19,13 +16,21 @@ data Plane = Plane | |||
19 | } | 16 | } |
20 | deriving(Eq, Show) | 17 | deriving(Eq, Show) |
21 | 18 | ||
22 | 19 | -- | Construct a plane from a normal vector and a distance from the origin. | |
23 | -- | Create a plane given a normal vector and a distance from the origin. | ||
24 | plane :: Vector3 -> Float -> Plane | 20 | plane :: Vector3 -> Float -> Plane |
25 | plane n d = Plane (normalise n) d | 21 | plane n d = Plane (normalise n) d |
26 | 22 | ||
27 | 23 | -- | Construct a plane from three points. | |
28 | -- | Classify the given point's relative position with respect to the given plane. | 24 | -- |
25 | -- Points must be given in counter-clockwise order. | ||
26 | fromPoints :: Vector3 -> Vector3 -> Vector3 -> Plane | ||
27 | fromPoints p0 p1 p2 = Plane n d | ||
28 | where n = normalise $ v1 `cross` v2 | ||
29 | v1 = p2 - p1 | ||
30 | v2 = p0 - p1 | ||
31 | d = p0 `dot` n | ||
32 | |||
33 | -- | Classify the given point's relative position with respect to the plane. | ||
29 | classify :: Plane -> Vector3 -> PointPlanePos | 34 | classify :: Plane -> Vector3 -> PointPlanePos |
30 | classify (Plane n d) pt = | 35 | classify (Plane n d) pt = |
31 | case (n `dot` pt - d) `compare` 0 of | 36 | case (n `dot` pt - d) `compare` 0 of |