diff options
Diffstat (limited to 'Spear/Math/Plane.hs')
| -rw-r--r-- | Spear/Math/Plane.hs | 78 |
1 files changed, 39 insertions, 39 deletions
diff --git a/Spear/Math/Plane.hs b/Spear/Math/Plane.hs index 08e4570..ee788b5 100644 --- a/Spear/Math/Plane.hs +++ b/Spear/Math/Plane.hs | |||
| @@ -1,39 +1,39 @@ | |||
| 1 | module Spear.Math.Plane | 1 | module Spear.Math.Plane |
| 2 | ( | 2 | ( |
| 3 | Plane | 3 | Plane |
| 4 | , plane | 4 | , plane |
| 5 | , classify | 5 | , classify |
| 6 | ) | 6 | ) |
| 7 | where | 7 | where |
| 8 | 8 | ||
| 9 | import Spear.Math.Vector | 9 | import Spear.Math.Vector |
| 10 | 10 | ||
| 11 | data PointPlanePos = Front | Back | Contained deriving (Eq, Show) | 11 | data PointPlanePos = Front | Back | Contained deriving (Eq, Show) |
| 12 | 12 | ||
| 13 | data Plane = Plane | 13 | data Plane = Plane |
| 14 | { n :: {-# UNPACK #-} !Vector3, | 14 | { n :: {-# UNPACK #-} !Vector3, |
| 15 | d :: {-# UNPACK #-} !Float | 15 | d :: {-# UNPACK #-} !Float |
| 16 | } | 16 | } |
| 17 | deriving(Eq, Show) | 17 | deriving(Eq, Show) |
| 18 | 18 | ||
| 19 | -- | Construct a plane from a normal vector and a distance from the origin. | 19 | -- | Construct a plane from a normal vector and a distance from the origin. |
| 20 | plane :: Vector3 -> Float -> Plane | 20 | plane :: Vector3 -> Float -> Plane |
| 21 | plane n d = Plane (normalise n) d | 21 | plane n d = Plane (normalise n) d |
| 22 | 22 | ||
| 23 | -- | Construct a plane from three points. | 23 | -- | Construct a plane from three points. |
| 24 | -- | 24 | -- |
| 25 | -- Points must be given in counter-clockwise order. | 25 | -- Points must be given in counter-clockwise order. |
| 26 | fromPoints :: Vector3 -> Vector3 -> Vector3 -> Plane | 26 | fromPoints :: Vector3 -> Vector3 -> Vector3 -> Plane |
| 27 | fromPoints p0 p1 p2 = Plane n d | 27 | fromPoints p0 p1 p2 = Plane n d |
| 28 | where n = normalise $ v1 `cross` v2 | 28 | where n = normalise $ v1 `cross` v2 |
| 29 | v1 = p2 - p1 | 29 | v1 = p2 - p1 |
| 30 | v2 = p0 - p1 | 30 | v2 = p0 - p1 |
| 31 | d = p0 `dot` n | 31 | d = p0 `dot` n |
| 32 | 32 | ||
| 33 | -- | Classify the given point's relative position with respect to the plane. | 33 | -- | Classify the given point's relative position with respect to the plane. |
| 34 | classify :: Plane -> Vector3 -> PointPlanePos | 34 | classify :: Plane -> Vector3 -> PointPlanePos |
| 35 | classify (Plane n d) pt = | 35 | classify (Plane n d) pt = |
| 36 | case (n `dot` pt - d) `compare` 0 of | 36 | case (n `dot` pt - d) `compare` 0 of |
| 37 | GT -> Front | 37 | GT -> Front |
| 38 | LT -> Back | 38 | LT -> Back |
| 39 | EQ -> Contained | 39 | EQ -> Contained |
