X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FCube.hs;h=2878eb06b76ffb54c0685de2543457faf3d8db29;hb=f6d0c289ad3397cf392976c24f3afdb17da5d377;hp=5b5f2af690d3230bf06595ae133a05b313b840a3;hpb=374d036a09ca086d73dabd7196d888ff76b90610;p=spline3.git

diff --git a/src/Cube.hs b/src/Cube.hs
index 5b5f2af..2878eb0 100644
--- a/src/Cube.hs
+++ b/src/Cube.hs
@@ -1,6 +1,8 @@
 module Cube
 where
 
+import Test.QuickCheck (Arbitrary(..), Gen, Positive(..), choose)
+    
 import Cardinal
 import qualified Face (Face(Face, v0, v1, v2, v3))
 import FunctionValues
@@ -16,6 +18,19 @@ data Cube = Cube { h :: Double,
             deriving (Eq)
 
 
+instance Arbitrary Cube where
+    arbitrary = do
+      (Positive h') <- arbitrary :: Gen (Positive Double)
+      i' <- choose (coordmin, coordmax)
+      j' <- choose (coordmin, coordmax)
+      k' <- choose (coordmin, coordmax)
+      fv' <- arbitrary :: Gen FunctionValues
+      return (Cube h' i' j' k' fv')
+        where
+          coordmin = -268435456 -- -(2^29 / 2)
+          coordmax = 268435456  -- +(2^29 / 2)
+
+
 instance Show Cube where
     show c =
         "Cube_" ++ subscript ++ "\n" ++
@@ -198,7 +213,7 @@ tetrahedron1 c =
       v1' = center (front_face c)
       v2' = Face.v1 (front_face c)
       v3' = Face.v2 (front_face c)
-      fv' = rotate (Cube.fv c) cwx
+      fv' = rotate ccwx (Cube.fv c)
 
 tetrahedron2 :: Cube -> Tetrahedron
 tetrahedron2 c =
@@ -208,7 +223,7 @@ tetrahedron2 c =
       v1' = center (front_face c)
       v2' = Face.v2 (front_face c)
       v3' = Face.v3 (front_face c)
-      fv' = rotate (Cube.fv c) (cwx . cwx)
+      fv' = rotate ccwx $ rotate ccwx $ Cube.fv c
 
 tetrahedron3 :: Cube -> Tetrahedron
 tetrahedron3 c =
@@ -218,7 +233,7 @@ tetrahedron3 c =
       v1' = center (front_face c)
       v2' = Face.v3 (front_face c)
       v3' = Face.v0 (front_face c)
-      fv' = rotate (Cube.fv c) ccwx
+      fv' = rotate cwx (Cube.fv c)
 
 tetrahedron4 :: Cube -> Tetrahedron
 tetrahedron4 c =
@@ -228,7 +243,7 @@ tetrahedron4 c =
       v1' = center (top_face c)
       v2' = Face.v0 (top_face c)
       v3' = Face.v1 (top_face c)
-      fv' = rotate (Cube.fv c) ccwy
+      fv' = rotate cwy (Cube.fv c)
 
 tetrahedron5 :: Cube -> Tetrahedron
 tetrahedron5 c =
@@ -238,7 +253,7 @@ tetrahedron5 c =
       v1' = center (top_face c)
       v2' = Face.v1 (top_face c)
       v3' = Face.v2 (top_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron4 c)) cwz
+      fv' = rotate cwy $ rotate cwz $ Tetrahedron.fv (tetrahedron0 c)
 
 tetrahedron6 :: Cube -> Tetrahedron
 tetrahedron6 c =
@@ -248,7 +263,7 @@ tetrahedron6 c =
       v1' = center (top_face c)
       v2' = Face.v2 (top_face c)
       v3' = Face.v3 (top_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron4 c)) (cwz . cwz)
+      fv' = rotate cwy $ rotate cwz $ rotate cwz $ Tetrahedron.fv (tetrahedron0 c)
 
 tetrahedron7 :: Cube -> Tetrahedron
 tetrahedron7 c =
@@ -258,7 +273,7 @@ tetrahedron7 c =
       v1' = center (top_face c)
       v2' = Face.v3 (top_face c)
       v3' = Face.v0 (top_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron4 c)) ccwz
+      fv' = rotate cwy $ rotate ccwz $ Tetrahedron.fv (tetrahedron0 c)
 
 tetrahedron8 :: Cube -> Tetrahedron
 tetrahedron8 c =
@@ -268,7 +283,7 @@ tetrahedron8 c =
       v1' = center (back_face c)
       v2' = Face.v0 (back_face c)
       v3' = Face.v1 (back_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron4 c)) ccwy
+      fv' = rotate cwy $ rotate cwy $ (Tetrahedron.fv (tetrahedron0 c))
 
 tetrahedron9 :: Cube -> Tetrahedron
 tetrahedron9 c =
@@ -278,7 +293,7 @@ tetrahedron9 c =
       v1' = center (back_face c)
       v2' = Face.v1 (back_face c)
       v3' = Face.v2 (back_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron8 c)) cwx
+      fv' = rotate cwy $ rotate cwy $ rotate cwx $ Tetrahedron.fv (tetrahedron0 c)
 
 tetrahedron10 :: Cube -> Tetrahedron
 tetrahedron10 c =
@@ -288,7 +303,10 @@ tetrahedron10 c =
       v1' = center (back_face c)
       v2' = Face.v2 (back_face c)
       v3' = Face.v3 (back_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron8 c)) (cwx . cwx)
+      fv' = rotate cwy $ rotate cwy
+                       $ rotate cwx
+                       $ rotate cwx
+                       $ Tetrahedron.fv (tetrahedron0 c)
 
 
 tetrahedron11 :: Cube -> Tetrahedron
@@ -299,7 +317,9 @@ tetrahedron11 c =
       v1' = center (back_face c)
       v2' = Face.v3 (back_face c)
       v3' = Face.v0 (back_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron8 c)) ccwx
+      fv' = rotate cwy $ rotate cwy
+                       $ rotate ccwx
+                       $ Tetrahedron.fv (tetrahedron0 c)
 
 
 tetrahedron12 :: Cube -> Tetrahedron
@@ -310,7 +330,7 @@ tetrahedron12 c =
       v1' = center (down_face c)
       v2' = Face.v0 (down_face c)
       v3' = Face.v1 (down_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron8 c)) ccwy
+      fv' = rotate ccwy (Tetrahedron.fv (tetrahedron0 c))
 
 
 tetrahedron13 :: Cube -> Tetrahedron
@@ -321,7 +341,7 @@ tetrahedron13 c =
       v1' = center (down_face c)
       v2' = Face.v1 (down_face c)
       v3' = Face.v2 (down_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron12 c)) cwz
+      fv' = rotate ccwy $ rotate ccwz $ Tetrahedron.fv (tetrahedron0 c)
 
 
 tetrahedron14 :: Cube -> Tetrahedron
@@ -332,7 +352,9 @@ tetrahedron14 c =
       v1' = center (down_face c)
       v2' = Face.v2 (down_face c)
       v3' = Face.v3 (down_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron13 c)) (cwz . cwz)
+      fv' = rotate ccwy $ rotate ccwz
+                        $ rotate ccwz
+                        $ Tetrahedron.fv (tetrahedron0 c)
 
 
 tetrahedron15 :: Cube -> Tetrahedron
@@ -343,7 +365,7 @@ tetrahedron15 c =
       v1' = center (down_face c)
       v2' = Face.v3 (down_face c)
       v3' = Face.v0 (down_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron12 c)) ccwz
+      fv' = rotate ccwy $ rotate cwz $ Tetrahedron.fv (tetrahedron0 c)
 
 
 tetrahedron16 :: Cube -> Tetrahedron
@@ -354,7 +376,7 @@ tetrahedron16 c =
       v1' = center (right_face c)
       v2' = Face.v0 (right_face c)
       v3' = Face.v1 (right_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron0 c)) cwz
+      fv' = rotate ccwz (Tetrahedron.fv (tetrahedron0 c))
 
 
 tetrahedron17 :: Cube -> Tetrahedron
@@ -365,7 +387,7 @@ tetrahedron17 c =
       v1' = center (right_face c)
       v2' = Face.v1 (right_face c)
       v3' = Face.v2 (right_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron16 c)) cwy
+      fv' = rotate ccwz $ rotate cwy $ Tetrahedron.fv (tetrahedron0 c)
 
 
 tetrahedron18 :: Cube -> Tetrahedron
@@ -376,7 +398,9 @@ tetrahedron18 c =
       v1' = center (right_face c)
       v2' = Face.v2 (right_face c)
       v3' = Face.v3 (right_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron16 c)) (cwy . cwy)
+      fv' = rotate ccwz $ rotate cwy
+                        $ rotate cwy
+                        $ Tetrahedron.fv (tetrahedron0 c)
 
 
 tetrahedron19 :: Cube -> Tetrahedron
@@ -387,7 +411,8 @@ tetrahedron19 c =
       v1' = center (right_face c)
       v2' = Face.v3 (right_face c)
       v3' = Face.v0 (right_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron16 c)) ccwy
+      fv' = rotate ccwz $ rotate ccwy
+                        $ Tetrahedron.fv (tetrahedron0 c)
 
 
 tetrahedron20 :: Cube -> Tetrahedron
@@ -398,7 +423,7 @@ tetrahedron20 c =
       v1' = center (left_face c)
       v2' = Face.v0 (left_face c)
       v3' = Face.v1 (left_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron0 c)) ccwz
+      fv' = rotate cwz (Tetrahedron.fv (tetrahedron0 c))
 
 
 tetrahedron21 :: Cube -> Tetrahedron
@@ -409,7 +434,7 @@ tetrahedron21 c =
       v1' = center (left_face c)
       v2' = Face.v1 (left_face c)
       v3' = Face.v2 (left_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron20 c)) cwy
+      fv' = rotate cwz $ rotate ccwy $ Tetrahedron.fv (tetrahedron0 c)
 
 
 tetrahedron22 :: Cube -> Tetrahedron
@@ -420,7 +445,9 @@ tetrahedron22 c =
       v1' = center (left_face c)
       v2' = Face.v2 (left_face c)
       v3' = Face.v3 (left_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron20 c)) (cwy . cwy)
+      fv' = rotate cwz $ rotate ccwy
+                       $ rotate ccwy
+                       $ Tetrahedron.fv (tetrahedron0 c)
 
 
 tetrahedron23 :: Cube -> Tetrahedron
@@ -431,11 +458,12 @@ tetrahedron23 c =
       v1' = center (left_face c)
       v2' = Face.v3 (left_face c)
       v3' = Face.v0 (left_face c)
-      fv' = rotate (Tetrahedron.fv (tetrahedron20 c)) ccwy
+      fv' = rotate cwz $ rotate cwy
+                       $ Tetrahedron.fv (tetrahedron0 c)
 
 
-tetrahedrons :: Cube -> [Tetrahedron]
-tetrahedrons c =
+tetrahedra :: Cube -> [Tetrahedron]
+tetrahedra c =
     [tetrahedron0 c,
      tetrahedron1 c,
      tetrahedron2 c,
@@ -460,3 +488,13 @@ tetrahedrons c =
      tetrahedron21 c,
      tetrahedron22 c,
      tetrahedron23 c]
+
+
+-- | Takes a 'Cube', and returns all Tetrahedra belonging to it that
+--   contain the given 'Point'.
+find_containing_tetrahedra :: Cube -> Point -> [Tetrahedron]
+find_containing_tetrahedra c p =
+    filter contains_our_point all_tetrahedra
+    where
+      contains_our_point = flip contains_point p
+      all_tetrahedra = tetrahedra c