X-Git-Url: https://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FCube.hs;h=418730ab61245b8ea028beaa3d67035b3632e77a;hb=0190aacddd4184c319896b01bb1acb29cb133485;hp=888c48f4840d54ec62f95f0f3e4aa0fe17519e7c;hpb=a32bce2dc24c2371099f0927ac5959c893d025a8;p=spline3.git

diff --git a/src/Tests/Cube.hs b/src/Tests/Cube.hs
index 888c48f..418730a 100644
--- a/src/Tests/Cube.hs
+++ b/src/Tests/Cube.hs
@@ -8,7 +8,6 @@ import Cube
 import FunctionValues (FunctionValues)
 import Tests.FunctionValues ()
 import Tetrahedron (b0, b1, b2, b3, c,
-                    Tetrahedron(Tetrahedron),
                     v0, v1, v2, v3, volume)
 
 instance Arbitrary Cube where
@@ -30,10 +29,10 @@ instance Arbitrary Cube where
 --   (which comprise cubes of positive volume) must have positive volume
 --   as well.
 prop_all_volumes_positive :: Cube -> Bool
-prop_all_volumes_positive c =
+prop_all_volumes_positive cube =
     null nonpositive_volumes
     where
-      ts = tetrahedrons c
+      ts = tetrahedrons cube
       volumes = map volume ts
       nonpositive_volumes = filter (<= 0) volumes
 
@@ -41,231 +40,231 @@ prop_all_volumes_positive c =
 --   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))
+prop_tetrahedron0_volumes_exact cube =
+    volume (tetrahedron0 cube) ~= (1/24)*(delta^(3::Int))
     where
-      delta = h c
+      delta = h cube
 
 -- | 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))
+prop_tetrahedron1_volumes_exact cube =
+    volume (tetrahedron1 cube) ~= (1/24)*(delta^(3::Int))
     where
-      delta = h c
+      delta = h cube
 
 -- | 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))
+prop_tetrahedron2_volumes_exact cube =
+    volume (tetrahedron2 cube) ~= (1/24)*(delta^(3::Int))
     where
-      delta = h c
+      delta = h cube
 
 -- | 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))
+prop_tetrahedron3_volumes_exact cube =
+    volume (tetrahedron3 cube) ~= (1/24)*(delta^(3::Int))
     where
-      delta = h c
+      delta = h cube
 
 -- | 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))
+prop_tetrahedron4_volumes_exact cube =
+    volume (tetrahedron4 cube) ~= (1/24)*(delta^(3::Int))
     where
-      delta = h c
+      delta = h cube
 
 -- | 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))
+prop_tetrahedron5_volumes_exact cube =
+    volume (tetrahedron5 cube) ~= (1/24)*(delta^(3::Int))
     where
-      delta = h c
+      delta = h cube
 
 -- | 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))
+prop_tetrahedron6_volumes_exact cube =
+    volume (tetrahedron6 cube) ~= (1/24)*(delta^(3::Int))
     where
-      delta = h c
+      delta = h cube
 
 -- | 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))
+prop_tetrahedron7_volumes_exact cube =
+    volume (tetrahedron7 cube) ~= (1/24)*(delta^(3::Int))
     where
-      delta = h c
+      delta = h cube
 
 -- | 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)
+prop_v0_all_equal cube = (v0 t0) == (v0 t1)
     where
-      t0 = head (tetrahedrons c) -- Doesn't matter which two we choose.
-      t1 = head $ tail (tetrahedrons c)
+      t0 = head (tetrahedrons cube) -- Doesn't matter which two we choose.
+      t1 = head $ tail (tetrahedrons cube)
 
 
 -- | 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
+prop_tetrahedron0_volumes_positive cube =
+    volume (tetrahedron0 cube) > 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
+prop_tetrahedron1_volumes_positive cube =
+    volume (tetrahedron1 cube) > 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
+prop_tetrahedron2_volumes_positive cube =
+    volume (tetrahedron2 cube) > 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
+prop_tetrahedron3_volumes_positive cube =
+    volume (tetrahedron3 cube) > 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
+prop_tetrahedron4_volumes_positive cube =
+    volume (tetrahedron4 cube) > 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
+prop_tetrahedron5_volumes_positive cube =
+    volume (tetrahedron5 cube) > 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
+prop_tetrahedron6_volumes_positive cube =
+    volume (tetrahedron6 cube) > 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
+prop_tetrahedron7_volumes_positive cube =
+    volume (tetrahedron7 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron8_volumes_positive :: Cube -> Bool
-prop_tetrahedron8_volumes_positive c =
-    volume (tetrahedron8 c) > 0
+prop_tetrahedron8_volumes_positive cube =
+    volume (tetrahedron8 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron9_volumes_positive :: Cube -> Bool
-prop_tetrahedron9_volumes_positive c =
-    volume (tetrahedron9 c) > 0
+prop_tetrahedron9_volumes_positive cube =
+    volume (tetrahedron9 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron10_volumes_positive :: Cube -> Bool
-prop_tetrahedron10_volumes_positive c =
-    volume (tetrahedron10 c) > 0
+prop_tetrahedron10_volumes_positive cube =
+    volume (tetrahedron10 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron11_volumes_positive :: Cube -> Bool
-prop_tetrahedron11_volumes_positive c =
-    volume (tetrahedron11 c) > 0
+prop_tetrahedron11_volumes_positive cube =
+    volume (tetrahedron11 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron12_volumes_positive :: Cube -> Bool
-prop_tetrahedron12_volumes_positive c =
-    volume (tetrahedron12 c) > 0
+prop_tetrahedron12_volumes_positive cube =
+    volume (tetrahedron12 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron13_volumes_positive :: Cube -> Bool
-prop_tetrahedron13_volumes_positive c =
-    volume (tetrahedron13 c) > 0
+prop_tetrahedron13_volumes_positive cube =
+    volume (tetrahedron13 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron14_volumes_positive :: Cube -> Bool
-prop_tetrahedron14_volumes_positive c =
-    volume (tetrahedron14 c) > 0
+prop_tetrahedron14_volumes_positive cube =
+    volume (tetrahedron14 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron15_volumes_positive :: Cube -> Bool
-prop_tetrahedron15_volumes_positive c =
-    volume (tetrahedron15 c) > 0
+prop_tetrahedron15_volumes_positive cube =
+    volume (tetrahedron15 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron16_volumes_positive :: Cube -> Bool
-prop_tetrahedron16_volumes_positive c =
-    volume (tetrahedron16 c) > 0
+prop_tetrahedron16_volumes_positive cube =
+    volume (tetrahedron16 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron17_volumes_positive :: Cube -> Bool
-prop_tetrahedron17_volumes_positive c =
-    volume (tetrahedron17 c) > 0
+prop_tetrahedron17_volumes_positive cube =
+    volume (tetrahedron17 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron18_volumes_positive :: Cube -> Bool
-prop_tetrahedron18_volumes_positive c =
-    volume (tetrahedron18 c) > 0
+prop_tetrahedron18_volumes_positive cube =
+    volume (tetrahedron18 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron19_volumes_positive :: Cube -> Bool
-prop_tetrahedron19_volumes_positive c =
-    volume (tetrahedron19 c) > 0
+prop_tetrahedron19_volumes_positive cube =
+    volume (tetrahedron19 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron20_volumes_positive :: Cube -> Bool
-prop_tetrahedron20_volumes_positive c =
-    volume (tetrahedron20 c) > 0
+prop_tetrahedron20_volumes_positive cube =
+    volume (tetrahedron20 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron21_volumes_positive :: Cube -> Bool
-prop_tetrahedron21_volumes_positive c =
-    volume (tetrahedron21 c) > 0
+prop_tetrahedron21_volumes_positive cube =
+    volume (tetrahedron21 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron22_volumes_positive :: Cube -> Bool
-prop_tetrahedron22_volumes_positive c =
-    volume (tetrahedron22 c) > 0
+prop_tetrahedron22_volumes_positive cube =
+    volume (tetrahedron22 cube) > 0
 
 -- | This pretty much repeats the prop_all_volumes_positive property,
 --   but will let me know which tetrahedrons's vertices are disoriented.
 prop_tetrahedron23_volumes_positive :: Cube -> Bool
-prop_tetrahedron23_volumes_positive c =
-    volume (tetrahedron23 c) > 0
+prop_tetrahedron23_volumes_positive cube =
+    volume (tetrahedron23 cube) > 0
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and
 --   fourth indices of c-t3 have been switched. This is because we
 --   store the triangles oriented such that their volume is
---   positive. If T and T-tilde share <v0,v1,v2> and v3,v3-tilde point
+--   positive. If T and T-tilde share \<v0,v1,v2\> and v3,v3-tilde point
 --   in opposite directions, one of them has to have negative volume!
 prop_c0120_identity1 :: Cube -> Bool
 prop_c0120_identity1 cube =
@@ -278,7 +277,7 @@ prop_c0120_identity1 cube =
 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and
 --   fourth indices of c-t3 have been switched. This is because we
 --   store the triangles oriented such that their volume is
---   positive. If T and T-tilde share <v0,v1,v2> and v3,v3-tilde point
+--   positive. If T and T-tilde share \<v0,v1,v2\> and v3,v3-tilde point
 --   in opposite directions, one of them has to have negative volume!
 prop_c0210_identity1 :: Cube -> Bool
 prop_c0210_identity1 cube =
@@ -291,7 +290,7 @@ prop_c0210_identity1 cube =
 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and
 --   fourth indices of c-t3 have been switched. This is because we
 --   store the triangles oriented such that their volume is
---   positive. If T and T-tilde share <v0,v1,v2> and v3,v3-tilde point
+--   positive. If T and T-tilde share \<v0,v1,v2\> and v3,v3-tilde point
 --   in opposite directions, one of them has to have negative volume!
 prop_c0300_identity1 :: Cube -> Bool
 prop_c0300_identity1 cube =
@@ -304,7 +303,7 @@ prop_c0300_identity1 cube =
 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and
 --   fourth indices of c-t3 have been switched. This is because we
 --   store the triangles oriented such that their volume is
---   positive. If T and T-tilde share <v0,v1,v2> and v3,v3-tilde point
+--   positive. If T and T-tilde share \<v0,v1,v2\> and v3,v3-tilde point
 --   in opposite directions, one of them has to have negative volume!
 prop_c1110_identity :: Cube -> Bool
 prop_c1110_identity cube =
@@ -317,7 +316,7 @@ prop_c1110_identity cube =
 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and
 --   fourth indices of c-t3 have been switched. This is because we
 --   store the triangles oriented such that their volume is
---   positive. If T and T-tilde share <v0,v1,v2> and v3,v3-tilde point
+--   positive. If T and T-tilde share \<v0,v1,v2\> and v3,v3-tilde point
 --   in opposite directions, one of them has to have negative volume!
 prop_c1200_identity1 :: Cube -> Bool
 prop_c1200_identity1 cube =
@@ -330,7 +329,7 @@ prop_c1200_identity1 cube =
 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and
 --   fourth indices of c-t3 have been switched. This is because we
 --   store the triangles oriented such that their volume is
---   positive. If T and T-tilde share <v0,v1,v2> and v3,v3-tilde point
+--   positive. If T and T-tilde share \<v0,v1,v2\> and v3,v3-tilde point
 --   in opposite directions, one of them has to have negative volume!
 prop_c2100_identity1 :: Cube -> Bool
 prop_c2100_identity1 cube =
@@ -344,7 +343,7 @@ prop_c2100_identity1 cube =
 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and
 --   fourth indices of c-t1 have been switched. This is because we
 --   store the triangles oriented such that their volume is
---   positive. If T and T-tilde share <v0,v1,v3> and v2,v2-tilde point
+--   positive. If T and T-tilde share \<v0,v1,v3\> and v2,v2-tilde point
 --   in opposite directions, one of them has to have negative volume!
 prop_c0102_identity1 :: Cube -> Bool
 prop_c0102_identity1 cube =
@@ -357,7 +356,7 @@ prop_c0102_identity1 cube =
 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and
 --   fourth indices of c-t1 have been switched. This is because we
 --   store the triangles oriented such that their volume is
---   positive. If T and T-tilde share <v0,v1,v3> and v2,v2-tilde point
+--   positive. If T and T-tilde share \<v0,v1,v3\> and v2,v2-tilde point
 --   in opposite directions, one of them has to have negative volume!
 prop_c0201_identity1 :: Cube -> Bool
 prop_c0201_identity1 cube =
@@ -370,7 +369,7 @@ prop_c0201_identity1 cube =
 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and
 --   fourth indices of c-t1 have been switched. This is because we
 --   store the triangles oriented such that their volume is
---   positive. If T and T-tilde share <v0,v1,v3> and v2,v2-tilde point
+--   positive. If T and T-tilde share \<v0,v1,v3\> and v2,v2-tilde point
 --   in opposite directions, one of them has to have negative volume!
 prop_c0300_identity2 :: Cube -> Bool
 prop_c0300_identity2 cube =
@@ -383,7 +382,7 @@ prop_c0300_identity2 cube =
 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and
 --   fourth indices of c-t1 have been switched. This is because we
 --   store the triangles oriented such that their volume is
---   positive. If T and T-tilde share <v0,v1,v3> and v2,v2-tilde point
+--   positive. If T and T-tilde share \<v0,v1,v3\> and v2,v2-tilde point
 --   in opposite directions, one of them has to have negative volume!
 prop_c1101_identity :: Cube -> Bool
 prop_c1101_identity cube =
@@ -396,7 +395,7 @@ prop_c1101_identity cube =
 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and
 --   fourth indices of c-t1 have been switched. This is because we
 --   store the triangles oriented such that their volume is
---   positive. If T and T-tilde share <v0,v1,v3> and v2,v2-tilde point
+--   positive. If T and T-tilde share \<v0,v1,v3\> and v2,v2-tilde point
 --   in opposite directions, one of them has to have negative volume!
 prop_c1200_identity2 :: Cube -> Bool
 prop_c1200_identity2 cube =
@@ -409,7 +408,7 @@ prop_c1200_identity2 cube =
 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and
 --   fourth indices of c-t1 have been switched. This is because we
 --   store the triangles oriented such that their volume is
---   positive. If T and T-tilde share <v0,v1,v3> and v2,v2-tilde point
+--   positive. If T and T-tilde share \<v0,v1,v3\> and v2,v2-tilde point
 --   in opposite directions, one of them has to have negative volume!
 prop_c2100_identity2 :: Cube -> Bool
 prop_c2100_identity2 cube =