X-Git-Url: http://gitweb.michael.orlitzky.com/?p=spline3.git;a=blobdiff_plain;f=src%2FPoint.hs;h=a334c5c95642ae1f06dea200d03546aa82418316;hp=fd3ac58dec3ceef5dfd5c8aa1615e25a9bc0af53;hb=edd0bfa30456c0f609418e730af641835b8650aa;hpb=e725cfe579b9d05ac040efc08f1ad47e5060de38 diff --git a/src/Point.hs b/src/Point.hs index fd3ac58..a334c5c 100644 --- a/src/Point.hs +++ b/src/Point.hs @@ -1,30 +1,47 @@ {-# LANGUAGE FlexibleInstances #-} module Point ( - Point, + Point(..), dot, scale ) where -type Point = (Double, Double, Double) +import Test.QuickCheck (Arbitrary(..)) + + +-- | Represents a point in three dimensions. We use a custom type (as +-- opposed to a 3-tuple) so that we can make the coordinates strict. +data Point = + Point !Double !Double !Double + deriving (Eq, Show) + + +instance Arbitrary Point where + arbitrary = do + (x,y,z) <- arbitrary + return $ Point x y z + instance Num Point where - (x1,y1,z1) + (x2,y2,z2) = (x1+x2, y1+y2, z1+z2) - (x1,y1,z1) - (x2,y2,z2) = (x1-x2, y1-y2, z1-z2) - (x1,y1,z1) * (x2,y2,z2) = (x1*x2, y1*y2, z1*z2) - abs (x, y, z) = (abs x, abs y, abs z) - signum (x, y, z) = (signum x, signum y, signum z) - fromInteger n = (fromInteger n, fromInteger n, fromInteger n) + (Point x1 y1 z1) + (Point x2 y2 z2) = Point (x1+x2) (y1+y2) (z1+z2) + (Point x1 y1 z1) - (Point x2 y2 z2) = Point (x1-x2) (y1-y2) (z1-z2) + (Point x1 y1 z1) * (Point x2 y2 z2) = Point (x1*x2) (y1*y2) (z1*z2) + abs (Point x y z) = Point (abs x) (abs y) (abs z) + signum (Point x y z) = Point (signum x) (signum y) (signum z) + fromInteger n = + Point coord coord coord + where + coord = fromInteger n -- | Scale a point by a constant. scale :: Point -> Double -> Point -scale (x, y, z) d = (x*d, y*d, z*d) +scale (Point x y z) d = Point (x*d) (y*d) (z*d) -- | Returns the dot product of two points (taken as three-vectors). {-# INLINE dot #-} dot :: Point -> Point -> Double -dot (x1, y1, z1) (x2, y2, z2) = +dot (Point x1 y1 z1) (Point x2 y2 z2) = (x2 - x1)^(2::Int) + (y2 - y1)^(2::Int) + (z2 - z1)^(2::Int)