X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FCube.hs;h=275681b92582a7ff8fe37f57d51b5c2e1b822b53;hb=280b105ba17ce58bfa79815d6ac07410f5ca0501;hp=a832f5a388eec53ca32131575a7f42c9b81c380e;hpb=33998c9e4eac925df771d224befc5c0974f877bf;p=spline3.git

diff --git a/src/Tests/Cube.hs b/src/Tests/Cube.hs
index a832f5a..275681b 100644
--- a/src/Tests/Cube.hs
+++ b/src/Tests/Cube.hs
@@ -3,9 +3,11 @@ where
 
 import Test.QuickCheck
 
-import Cube (Cube(Cube))
+import Comparisons
+import Cube
 import FunctionValues (FunctionValues(FunctionValues))
 import Tests.FunctionValues
+import Tetrahedron (v0, volume)
 
 instance Arbitrary Cube where
     arbitrary = do
@@ -25,11 +27,138 @@ instance Arbitrary Cube where
 -- | Since the grid size is necessarily positive, all tetrahedrons
 --   (which comprise cubes of positive volume) must have positive volume
 --   as well.
--- prop_all_volumes_positive :: Cube -> Property
--- prop_all_volumes_positive c =
---     (delta > 0) ==> (null nonpositive_volumes)
---     where
---       delta = h (grid c)
---       ts = tetrahedrons c
---       volumes = map volume ts
---       nonpositive_volumes = filter (<= 0) volumes
+prop_all_volumes_positive :: Cube -> Bool
+prop_all_volumes_positive c =
+    null nonpositive_volumes
+    where
+      ts = tetrahedrons c
+      volumes = map volume ts
+      nonpositive_volumes = filter (<= 0) volumes
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron0_volumes_exact :: Cube -> Bool
+prop_tetrahedron0_volumes_exact c =
+    volume (tetrahedron0 c) ~= (1/24)*(delta^(3::Int))
+    where
+      delta = h c
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron1_volumes_exact :: Cube -> Bool
+prop_tetrahedron1_volumes_exact c =
+    volume (tetrahedron1 c) ~= (1/24)*(delta^(3::Int))
+    where
+      delta = h c
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron2_volumes_exact :: Cube -> Bool
+prop_tetrahedron2_volumes_exact c =
+    volume (tetrahedron2 c) ~= (1/24)*(delta^(3::Int))
+    where
+      delta = h c
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron3_volumes_exact :: Cube -> Bool
+prop_tetrahedron3_volumes_exact c =
+    volume (tetrahedron3 c) ~= (1/24)*(delta^(3::Int))
+    where
+      delta = h c
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron4_volumes_exact :: Cube -> Bool
+prop_tetrahedron4_volumes_exact c =
+    volume (tetrahedron4 c) ~= (1/24)*(delta^(3::Int))
+    where
+      delta = h c
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron5_volumes_exact :: Cube -> Bool
+prop_tetrahedron5_volumes_exact c =
+    volume (tetrahedron5 c) ~= (1/24)*(delta^(3::Int))
+    where
+      delta = h c
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron6_volumes_exact :: Cube -> Bool
+prop_tetrahedron6_volumes_exact c =
+    volume (tetrahedron6 c) ~= (1/24)*(delta^(3::Int))
+    where
+      delta = h c
+
+-- | In fact, since all of the tetrahedra are identical, we should
+--   already know their volumes. There's 24 tetrahedra to a cube, so
+--   we'd expect the volume of each one to be (1/24)*h^3.
+prop_tetrahedron7_volumes_exact :: Cube -> Bool
+prop_tetrahedron7_volumes_exact c =
+    volume (tetrahedron7 c) ~= (1/24)*(delta^(3::Int))
+    where
+      delta = h c
+
+-- | All tetrahedron should have their v0 located at the center of the cube.
+prop_v0_all_equal :: Cube -> Bool
+prop_v0_all_equal c = (v0 t0) == (v0 t1)
+    where
+      t0 = head (tetrahedrons c) -- Doesn't matter which two we choose.
+      t1 = head $ tail (tetrahedrons c)
+
+
+-- | This pretty much repeats the prop_all_volumes_positive property,
+--   but will let me know which tetrahedrons's vertices are disoriented.
+prop_tetrahedron0_volumes_positive :: Cube -> Bool
+prop_tetrahedron0_volumes_positive c =
+    volume (tetrahedron0 c) > 0
+
+-- | This pretty much repeats the prop_all_volumes_positive property,
+--   but will let me know which tetrahedrons's vertices are disoriented.
+prop_tetrahedron1_volumes_positive :: Cube -> Bool
+prop_tetrahedron1_volumes_positive c =
+    volume (tetrahedron1 c) > 0
+
+-- | This pretty much repeats the prop_all_volumes_positive property,
+--   but will let me know which tetrahedrons's vertices are disoriented.
+prop_tetrahedron2_volumes_positive :: Cube -> Bool
+prop_tetrahedron2_volumes_positive c =
+    volume (tetrahedron2 c) > 0
+
+-- | This pretty much repeats the prop_all_volumes_positive property,
+--   but will let me know which tetrahedrons's vertices are disoriented.
+prop_tetrahedron3_volumes_positive :: Cube -> Bool
+prop_tetrahedron3_volumes_positive c =
+    volume (tetrahedron3 c) > 0
+
+-- | This pretty much repeats the prop_all_volumes_positive property,
+--   but will let me know which tetrahedrons's vertices are disoriented.
+prop_tetrahedron4_volumes_positive :: Cube -> Bool
+prop_tetrahedron4_volumes_positive c =
+    volume (tetrahedron4 c) > 0
+
+-- | This pretty much repeats the prop_all_volumes_positive property,
+--   but will let me know which tetrahedrons's vertices are disoriented.
+prop_tetrahedron5_volumes_positive :: Cube -> Bool
+prop_tetrahedron5_volumes_positive c =
+    volume (tetrahedron5 c) > 0
+
+-- | This pretty much repeats the prop_all_volumes_positive property,
+--   but will let me know which tetrahedrons's vertices are disoriented.
+prop_tetrahedron6_volumes_positive :: Cube -> Bool
+prop_tetrahedron6_volumes_positive c =
+    volume (tetrahedron6 c) > 0
+
+-- | This pretty much repeats the prop_all_volumes_positive property,
+--   but will let me know which tetrahedrons's vertices are disoriented.
+prop_tetrahedron7_volumes_positive :: Cube -> Bool
+prop_tetrahedron7_volumes_positive c =
+    volume (tetrahedron7 c) > 0