where
import Cardinal
-import Face (Face(Face, v0, v1, v2, v3))
+import qualified Face (Face(Face, v0, v1, v2, v3))
import FunctionValues
import Point
-import Tetrahedron (Tetrahedron(Tetrahedron), fv)
+import Tetrahedron hiding (c)
import ThreeDimensional
data Cube = Cube { h :: Double,
" ymin: " ++ (show (ymin c)) ++ "\n" ++
" ymax: " ++ (show (ymax c)) ++ "\n" ++
" zmin: " ++ (show (zmin c)) ++ "\n" ++
- " zmax: " ++ (show (zmax c)) ++ "\n"
+ " zmax: " ++ (show (zmax c)) ++ "\n" ++
+ " fv: " ++ (show (Cube.fv c)) ++ "\n"
where
subscript =
(show (i c)) ++ "," ++ (show (j c)) ++ "," ++ (show (k c))
-- Face stuff.
-- | The top (in the direction of z) face of the cube.
-top_face :: Cube -> Face
-top_face c = Face v0' v1' v2' v3'
+top_face :: Cube -> Face.Face
+top_face c = Face.Face v0' v1' v2' v3'
where
delta = (1/2)*(h c)
- v0' = (center c) + (delta, delta, delta)
- v1' = (center c) + (delta, -delta, delta)
- v2' = (center c) + (-delta, -delta, delta)
- v3' = (center c) + (-delta, delta, delta)
+ v0' = (center c) + (delta, -delta, delta)
+ v1' = (center c) + (delta, delta, delta)
+ v2' = (center c) + (-delta, delta, delta)
+ v3' = (center c) + (-delta, -delta, delta)
-- | The back (in the direction of x) face of the cube.
-back_face :: Cube -> Face
-back_face c = Face v0' v1' v2' v3'
+back_face :: Cube -> Face.Face
+back_face c = Face.Face v0' v1' v2' v3'
where
delta = (1/2)*(h c)
v0' = (center c) + (delta, delta, delta)
-- The bottom face (in the direction of -z) of the cube.
-down_face :: Cube -> Face
-down_face c = Face v0' v1' v2' v3'
+down_face :: Cube -> Face.Face
+down_face c = Face.Face v0' v1' v2' v3'
where
delta = (1/2)*(h c)
v0' = (center c) + (delta, delta, -delta)
-- | The front (in the direction of -x) face of the cube.
-front_face :: Cube -> Face
-front_face c = Face v0' v1' v2' v3'
+front_face :: Cube -> Face.Face
+front_face c = Face.Face v0' v1' v2' v3'
where
delta = (1/2)*(h c)
v0' = (center c) + (-delta, -delta, delta)
v2' = (center c) + (-delta, delta, -delta)
v3' = (center c) + (-delta, -delta, -delta)
-
-- | The left (in the direction of -y) face of the cube.
-left_face :: Cube -> Face
-left_face c = Face v0' v1' v2' v3'
+left_face :: Cube -> Face.Face
+left_face c = Face.Face v0' v1' v2' v3'
where
delta = (1/2)*(h c)
v0' = (center c) + (-delta, -delta, delta)
-- | The right (in the direction of y) face of the cube.
-right_face :: Cube -> Face
-right_face c = Face v0' v1' v2' v3'
+right_face :: Cube -> Face.Face
+right_face c = Face.Face v0' v1' v2' v3'
where
delta = (1/2)*(h c)
v0' = (center c) + (-delta, delta, -delta)
v3' = (center c) + (-delta, delta, delta)
+reorient :: Tetrahedron -> Tetrahedron
+reorient t = t
+-- | volume t > 0 = t
+-- | otherwise = t { v2 = (v3 t),
+-- v3 = (v2 t) }
tetrahedron0 :: Cube -> Tetrahedron
tetrahedron0 c =
- Tetrahedron (Cube.fv c) v0' v1' v2' v3'
+ reorient $ Tetrahedron (Cube.fv c) v0' v1' v2' v3'
where
v0' = center c
v1' = center (front_face c)
- v2' = v0 (front_face c)
- v3' = v1 (front_face c)
+ v2' = Face.v0 (front_face c)
+ v3' = Face.v1 (front_face c)
tetrahedron1 :: Cube -> Tetrahedron
tetrahedron1 c =
- Tetrahedron fv' v0' v1' v2' v3'
+ reorient $ Tetrahedron fv' v0' v1' v2' v3'
where
v0' = center c
v1' = center (front_face c)
- v2' = v1 (front_face c)
- v3' = v2 (front_face c)
+ v2' = Face.v1 (front_face c)
+ v3' = Face.v2 (front_face c)
fv' = rotate (Cube.fv c) ccwx
tetrahedron2 :: Cube -> Tetrahedron
tetrahedron2 c =
- Tetrahedron fv' v0' v1' v2' v3'
+ reorient $ Tetrahedron fv' v0' v1' v2' v3'
where
v0' = center c
v1' = center (front_face c)
- v2' = v2 (front_face c)
- v3' = v3 (front_face c)
+ v2' = Face.v2 (front_face c)
+ v3' = Face.v3 (front_face c)
fv' = rotate (Cube.fv c) (ccwx . ccwx)
tetrahedron3 :: Cube -> Tetrahedron
tetrahedron3 c =
- Tetrahedron fv' v0' v1' v2' v3'
+ reorient $ Tetrahedron fv' v0' v1' v2' v3'
where
v0' = center c
v1' = center (front_face c)
- v2' = v3 (front_face c)
- v3' = v1 (front_face c)
+ v2' = Face.v3 (front_face c)
+ v3' = Face.v0 (front_face c)
fv' = rotate (Cube.fv c) cwx
tetrahedron4 :: Cube -> Tetrahedron
tetrahedron4 c =
- Tetrahedron fv' v0' v1' v2' v3'
+ reorient $ Tetrahedron fv' v0' v1' v2' v3'
where
v0' = center c
v1' = center (top_face c)
- v2' = v0 (front_face c)
- v3' = v1 (front_face c)
+ v2' = Face.v0 (top_face c)
+ v3' = Face.v1 (top_face c)
fv' = rotate (Cube.fv c) cwy
tetrahedron5 :: Cube -> Tetrahedron
tetrahedron5 c =
- Tetrahedron fv' v0' v1' v2' v3'
+ reorient $ Tetrahedron fv' v0' v1' v2' v3'
where
v0' = center c
v1' = center (top_face c)
- v2' = v1 (top_face c)
- v3' = v2 (top_face c)
+ v2' = Face.v1 (top_face c)
+ v3' = Face.v2 (top_face c)
fv' = rotate (Tetrahedron.fv (tetrahedron0 c)) ccwx
tetrahedron6 :: Cube -> Tetrahedron
tetrahedron6 c =
- Tetrahedron fv' v0' v1' v2' v3'
+ reorient $ Tetrahedron fv' v0' v1' v2' v3'
where
v0' = center c
v1' = center (top_face c)
- v2' = v2 (top_face c)
- v3' = v3 (top_face c)
+ v2' = Face.v2 (top_face c)
+ v3' = Face.v3 (top_face c)
fv' = rotate (Tetrahedron.fv (tetrahedron0 c)) (ccwx . ccwx)
tetrahedron7 :: Cube -> Tetrahedron
tetrahedron7 c =
- Tetrahedron fv' v0' v1' v2' v3'
+ reorient $ Tetrahedron fv' v0' v1' v2' v3'
where
v0' = center c
v1' = center (top_face c)
- v2' = v3 (top_face c)
- v3' = v1 (top_face c)
+ v2' = Face.v3 (top_face c)
+ v3' = Face.v0 (top_face c)
fv' = rotate (Tetrahedron.fv (tetrahedron0 c)) cwx
tetrahedrons :: Cube -> [Tetrahedron]