92 lines
1.8 KiB
Haskell
92 lines
1.8 KiB
Haskell
{-# LANGUAGE BangPatterns #-}
|
|
module Geometry.Vector3D
|
|
where
|
|
import Geometry.Vector
|
|
import Geometry.Data
|
|
|
|
import Data.List
|
|
|
|
infixl 6 +.+.+, -.-.-
|
|
infixl 7 *.*.*
|
|
|
|
{- | 3D coordinate-wise addition. -}
|
|
(+.+.+) :: Point3 -> Point3 -> Point3
|
|
{-# INLINE (+.+.+) #-}
|
|
(+.+.+) = (+)
|
|
--(x1, y1, z1) +.+.+ (x2, y2, z2) =
|
|
-- let
|
|
-- !x = x1 + x2
|
|
-- !y = y1 + y2
|
|
-- !z = z1 + z2
|
|
-- in (x, y, z)
|
|
{- | 3D coordinate-wise subtraction. -}
|
|
(-.-.-) :: Point3 -> Point3 -> Point3
|
|
{-# INLINE (-.-.-) #-}
|
|
(-.-.-) = (-)
|
|
--(x1, y1, z1) -.-.- (x2, y2, z2) =
|
|
-- let
|
|
-- !x = x1 - x2
|
|
-- !y = y1 - y2
|
|
-- !z = z1 - z2
|
|
-- in (x, y, z)
|
|
{- | 3D scalar multiplication. -}
|
|
(*.*.*) :: Float -> Point3 -> Point3
|
|
{-# INLINE (*.*.*) #-}
|
|
a *.*.* (V3 x2 y2 z2) =
|
|
let
|
|
!x = a * x2
|
|
!y = a * y2
|
|
!z = a * z2
|
|
in V3 x y z
|
|
|
|
crossProd :: Point3 -> Point3 -> Point3
|
|
crossProd (V3 x y z) (V3 a b c) = V3
|
|
( y * c - z * b)
|
|
( z * a - x * c)
|
|
( x * b - y * a)
|
|
|
|
rotate3 :: Float -> Point3 -> Point3
|
|
{-# INLINE rotate3 #-}
|
|
rotate3 a (V3 x y z) = V3 x' y' z
|
|
where
|
|
(V2 x' y') = rotateV a (V2 x y)
|
|
|
|
magV3 :: Point3 -> Float
|
|
magV3 (V3 x y z) = sqrt $ x^i + y^i + z^i
|
|
where
|
|
i = 2 :: Int
|
|
|
|
normalizeV3 :: Point3 -> Point3
|
|
normalizeV3 (V3 0 0 0) = V3 0 0 0
|
|
normalizeV3 p = (1 / magV3 p) *.*.* p
|
|
|
|
addZ :: Float -> Point2 -> Point3
|
|
addZ z (V2 x y) = V3 x y z
|
|
|
|
orderAround3
|
|
:: Point3 -- ^ Vector to order around
|
|
-> [Point3]
|
|
-> [Point3]
|
|
orderAround3 v ps = sortOn (argV . prj) ps
|
|
where
|
|
xdir = crossProd v (head ps)
|
|
ydir = crossProd v xdir
|
|
prj p = V2 (dotV3 xdir p) (dotV3 ydir p)
|
|
|
|
vCen3 :: [Point3] -> Point3
|
|
vCen3 ps = (1 / fromIntegral (length ps)) *.*.* foldr (+.+.+) (V3 0 0 0) ps
|
|
|
|
dotV3
|
|
:: Point3
|
|
-> Point3
|
|
-> Float
|
|
dotV3 (V3 x y z) (V3 a b c) = x*a + y*b + z*c
|
|
|
|
projV3
|
|
:: Point3
|
|
-> Point3
|
|
-> Point3
|
|
projV3 = undefined
|
|
|
|
|