37 lines
1.1 KiB
Haskell
37 lines
1.1 KiB
Haskell
module ExtComplex where
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import Graphics.Rendering.OpenGL
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-- This time I use unpacked strict data type
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-- Far faster when compiled.
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data ExtComplex = C {-# UNPACK #-} !GLfloat
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{-# UNPACK #-} !GLfloat
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{-# UNPACK #-} !GLfloat
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deriving (Show,Eq)
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instance Num ExtComplex where
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-- The shape of the 3D mandelbrot
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-- will depend on this formula
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(C x y z) * (C x' y' z') = C (x*x' - y*y' - z*z')
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(x*y' + y*x' + z*z')
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(x*z' + z*x' )
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-- The rest is straightforward
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fromInteger n = C (fromIntegral n) 0 0
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(C x y z) + (C x' y' z') = C (x+x') (y+y') (z+z')
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abs (C x y z) = C (sqrt (x*x + y*y + z*z)) 0 0
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signum (C x y z) = C (signum x) (signum y) (signum z)
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extcomplex :: GLfloat -> GLfloat -> GLfloat -> ExtComplex
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extcomplex x y z = C x y z
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real :: ExtComplex -> GLfloat
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real (C x _ _) = x
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im :: ExtComplex -> GLfloat
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im (C _ y _) = y
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strange :: ExtComplex -> GLfloat
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strange (C _ _ z) = z
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magnitude :: ExtComplex -> GLfloat
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magnitude = real.abs
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