X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FCube.hs;h=150faef89669de34d7a7b7d0235b827e9587f024;hb=cc10c04deda3bdf54867a9052b638f0bc4b09fbe;hp=b5e771b2684c50df9658f49ce7d76c9258dc5084;hpb=f5367b88967f31b37159b345357df8460bbb8d69;p=spline3.git

diff --git a/src/Tests/Cube.hs b/src/Tests/Cube.hs
index b5e771b..150faef 100644
--- a/src/Tests/Cube.hs
+++ b/src/Tests/Cube.hs
@@ -409,38 +409,42 @@ prop_tetrahedron23_volumes_positive cube =
     volume (tetrahedron23 cube) > 0
 
 
--- | Given in Sorokina and Zeilfelder, p. 79, (2.6). It appears that
---   the assumptions in sections (2.6) and (2.7) have been
---   switched. From the description, one would expect 'tetrahedron0'
---   and 'tetrahedron3' to share face \<v0,v1,v2\>; however, we have
---   to use 'tetrahedron0' and 'tetahedron1' for all of the tests in
---   section (2.6). Also 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,v2\> and v3,v3-tilde point in opposite directions,
---   one of them has to have negative volume!
+-- | Given in Sorokina and Zeilfelder, p. 79, (2.6). 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,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 =
-   c t0 0 1 2 0 ~= (c t0 0 0 2 1 + c t1 0 0 1 2) / 2
+   c t0 0 1 2 0 ~= (c t0 0 0 2 1 + c t3 0 0 1 2) / 2
      where
        t0 = tetrahedron0 cube
-       t1 = tetrahedron1 cube
+       t3 = tetrahedron3 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.6). Repeats
 --   'prop_c0120_identity1' with tetrahedrons 1 and 2.
 prop_c0120_identity2 :: Cube -> Bool
 prop_c0120_identity2 cube =
-   c t1 0 1 2 0 ~= (c t1 0 0 2 1 + c t2 0 0 1 2) / 2
+   c t1 0 1 2 0 ~= (c t1 0 0 2 1 + c t0 0 0 1 2) / 2
+     where
+       t0 = tetrahedron0 cube
+       t1 = tetrahedron1 cube
+            
+-- | Given in Sorokina and Zeilfelder, p. 79, (2.6). Repeats
+--   'prop_c0120_identity1' with tetrahedrons 1 and 2.
+prop_c0120_identity3 :: Cube -> Bool
+prop_c0120_identity3 cube =
+   c t2 0 1 2 0 ~= (c t2 0 0 2 1 + c t1 0 0 1 2) / 2
      where
        t1 = tetrahedron1 cube
        t2 = tetrahedron2 cube
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.6). Repeats
 --   'prop_c0120_identity1' with tetrahedrons 2 and 3.
-prop_c0120_identity3 :: Cube -> Bool
-prop_c0120_identity3 cube =
-   c t2 0 1 2 0 ~= (c t2 0 0 2 1 + c t3 0 0 1 2) / 2
+prop_c0120_identity4 :: Cube -> Bool
+prop_c0120_identity4 cube =
+   c t3 0 1 2 0 ~= (c t3 0 0 2 1 + c t2 0 0 1 2) / 2
      where
        t2 = tetrahedron2 cube
        t3 = tetrahedron3 cube
@@ -448,176 +452,146 @@ prop_c0120_identity3 cube =
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.6). Repeats
 --   'prop_c0120_identity1' with tetrahedrons 4 and 5.
--- prop_c0120_identity4 :: Cube -> Bool
--- prop_c0120_identity4 cube =
---     sum [trace ("c_t4_0120: " ++ (show tmp1)) tmp1,
---          trace ("c_t5_0012: " ++ (show tmp2)) tmp2,
---          trace ("c_t5_0102: " ++ (show tmp3)) tmp3,
---          trace ("c_t5_1002: " ++ (show tmp4)) tmp4,
---          trace ("c_t5_0120: " ++ (show tmp5)) tmp5,
---          trace ("c_t5_1020: " ++ (show tmp6)) tmp6,
---          trace ("c_t5_1200: " ++ (show tmp7)) tmp7,
---          trace ("c_t5_0021: " ++ (show tmp8)) tmp8,
---          trace ("c_t5_0201: " ++ (show tmp9)) tmp9,
---          trace ("c_t5_2001: " ++ (show tmp10)) tmp10,
---          trace ("c_t5_0210: " ++ (show tmp11)) tmp11,
---          trace ("c_t5_2010: " ++ (show tmp12)) tmp12,
---          trace ("c_t5_2100: " ++ (show tmp13)) tmp13] == 10
--- --   c t4 0 1 2 0 ~= (c t4 0 0 2 1 + c t5 0 0 1 2) / 2
---      where
---        t4 = tetrahedron4 cube
---        t5 = tetrahedron5 cube
---        tmp1 = c t4 0 1 2 0
---        tmp2 = (c t4 0 0 2 1 + c t5 0 0 1 2) / 2
---        tmp3 = (c t4 0 0 2 1 + c t5 0 1 0 2) / 2
---        tmp4 = (c t4 0 0 2 1 + c t5 1 0 0 2) / 2
---        tmp5 = (c t4 0 0 2 1 + c t5 0 1 2 0) / 2
---        tmp6 = (c t4 0 0 2 1 + c t5 1 0 2 0) / 2
---        tmp7 = (c t4 0 0 2 1 + c t5 1 2 0 0) / 2
---        tmp8 = (c t4 0 0 2 1 + c t5 0 0 2 1) / 2
---        tmp9 = (c t4 0 0 2 1 + c t5 0 2 0 1) / 2
---        tmp10 = (c t4 0 0 2 1 + c t5 2 0 0 1) / 2
---        tmp11 = (c t4 0 0 2 1 + c t5 0 2 1 0) / 2
---        tmp12 = (c t4 0 0 2 1 + c t5 2 0 1 0) / 2
---        tmp13 = (c t4 0 0 2 1 + c t5 2 1 0 0) / 2
+prop_c0120_identity5 :: Cube -> Bool
+prop_c0120_identity5 cube =
+    c t5 0 1 2 0 ~= (c t5 0 0 2 1 + c t4 0 0 1 2) / 2
+    where
+      t4 = tetrahedron4 cube
+      t5 = tetrahedron5 cube
 
 -- -- | Given in Sorokina and Zeilfelder, p. 79, (2.6). Repeats
 -- --   'prop_c0120_identity1' with tetrahedrons 5 and 6.
--- prop_c0120_identity5 :: Cube -> Bool
--- prop_c0120_identity5 cube =
---    c t5 0 1 2 0 ~= (c t5 0 0 2 1 + c t6 0 0 1 2) / 2
---      where
---        t5 = tetrahedron5 cube
---        t6 = tetrahedron6 cube
+prop_c0120_identity6 :: Cube -> Bool
+prop_c0120_identity6 cube =
+   c t6 0 1 2 0 ~= (c t6 0 0 2 1 + c t5 0 0 1 2) / 2
+     where
+       t5 = tetrahedron5 cube
+       t6 = tetrahedron6 cube
 
 
 -- -- | Given in Sorokina and Zeilfelder, p. 79, (2.6). Repeats
 -- --   'prop_c0120_identity1' with tetrahedrons 6 and 7.
--- prop_c0120_identity6 :: Cube -> Bool
--- prop_c0120_identity6 cube =
---    c t6 0 1 2 0 ~= (c t6 0 0 2 1 + c t7 0 0 1 2) / 2
---      where
---        t6 = tetrahedron6 cube
---        t7 = tetrahedron7 cube
+prop_c0120_identity7 :: Cube -> Bool
+prop_c0120_identity7 cube =
+   c t7 0 1 2 0 ~= (c t7 0 0 2 1 + c t6 0 0 1 2) / 2
+     where
+       t6 = tetrahedron6 cube
+       t7 = tetrahedron7 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.6). See
 --   'prop_c0120_identity1'.
 prop_c0210_identity1 :: Cube -> Bool
 prop_c0210_identity1 cube =
-    c t0 0 2 1 0 ~= (c t0 0 1 1 1 + c t1 0 1 1 1) / 2
+    c t0 0 2 1 0 ~= (c t0 0 1 1 1 + c t3 0 1 1 1) / 2
       where
         t0 = tetrahedron0 cube
-        t1 = tetrahedron1 cube
+        t3 = tetrahedron3 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.6). See
 --   'prop_c0120_identity1'.
 prop_c0300_identity1 :: Cube -> Bool
 prop_c0300_identity1 cube =
-    c t0 0 3 0 0 ~= (c t0 0 2 0 1 + c t1 0 2 1 0) / 2
+    c t0 0 3 0 0 ~= (c t0 0 2 0 1 + c t3 0 2 1 0) / 2
       where
         t0 = tetrahedron0 cube
-        t1 = tetrahedron1 cube
+        t3 = tetrahedron3 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.6). See
 --   'prop_c0120_identity1'.
 prop_c1110_identity :: Cube -> Bool
 prop_c1110_identity cube =
-    c t0 1 1 1 0 ~= (c t0 1 0 1 1 + c t1 1 0 1 1) / 2
+    c t0 1 1 1 0 ~= (c t0 1 0 1 1 + c t3 1 0 1 1) / 2
       where
         t0 = tetrahedron0 cube
-        t1 = tetrahedron1 cube
+        t3 = tetrahedron3 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.6). See
 --   'prop_c0120_identity1'.
 prop_c1200_identity1 :: Cube -> Bool
 prop_c1200_identity1 cube =
-    c t0 1 2 0 0 ~= (c t0 1 1 0 1 + c t1 1 1 1 0) / 2
+    c t0 1 2 0 0 ~= (c t0 1 1 0 1 + c t3 1 1 1 0) / 2
       where
         t0 = tetrahedron0 cube
-        t1 = tetrahedron1 cube
+        t3 = tetrahedron3 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.6). See
 --   'prop_c0120_identity1'.
 prop_c2100_identity1 :: Cube -> Bool
 prop_c2100_identity1 cube =
-    c t0 2 1 0 0 ~= (c t0 2 0 0 1 + c t1 2 0 1 0) / 2
+    c t0 2 1 0 0 ~= (c t0 2 0 0 1 + c t3 2 0 1 0) / 2
       where
         t0 = tetrahedron0 cube
-        t1 = tetrahedron1 cube
+        t3 = tetrahedron3 cube
 
 
 
--- | Given in Sorokina and Zeilfelder, p. 79, (2.7). It appears that
---   the assumptions in sections (2.6) and (2.7) have been
---   switched. From the description, one would expect 'tetrahedron0'
---   and 'tetrahedron1' to share face \<v0,v1,v3\>; however, we have
---   to use 'tetrahedron0' and 'tetahedron3' for all of the tests in
---   section (2.7). Also 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 in opposite directions,
---   one of them has to have negative volume!
+-- | Given in Sorokina and Zeilfelder, p. 79, (2.7). 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 in opposite directions, one of them has to have negative
+--   volume!
 prop_c0102_identity1 :: Cube -> Bool
 prop_c0102_identity1 cube =
-    c t0 0 1 0 2 ~= (c t0 0 0 1 2 + c t3 0 0 2 1) / 2
+    c t0 0 1 0 2 ~= (c t0 0 0 1 2 + c t1 0 0 2 1) / 2
       where
         t0 = tetrahedron0 cube
-        t3 = tetrahedron3 cube
+        t1 = tetrahedron1 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.7). See
 --   'prop_c0102_identity1'.
 prop_c0201_identity1 :: Cube -> Bool
 prop_c0201_identity1 cube =
-    c t0 0 2 0 1 ~= (c t0 0 1 1 1 + c t3 0 1 1 1) / 2
+    c t0 0 2 0 1 ~= (c t0 0 1 1 1 + c t1 0 1 1 1) / 2
       where
         t0 = tetrahedron0 cube
-        t3 = tetrahedron3 cube
+        t1 = tetrahedron1 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.7). See
 --   'prop_c0102_identity1'.
 prop_c0300_identity2 :: Cube -> Bool
 prop_c0300_identity2 cube =
-    c t0 0 3 0 0 ~= (c t0 0 2 1 0 + c t3 0 2 0 1) / 2
+    c t0 0 3 0 0 ~= (c t0 0 2 1 0 + c t1 0 2 0 1) / 2
       where
         t0 = tetrahedron0 cube
-        t3 = tetrahedron3 cube
+        t1 = tetrahedron1 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.7). See
 --   'prop_c0102_identity1'.
 prop_c1101_identity :: Cube -> Bool
 prop_c1101_identity cube =
-    c t0 1 1 0 1 ~= (c t0 1 0 1 1 + c t3 1 0 1 1) / 2
+    c t0 1 1 0 1 ~= (c t0 1 0 1 1 + c t1 1 0 1 1) / 2
       where
         t0 = tetrahedron0 cube
-        t3 = tetrahedron3 cube
+        t1 = tetrahedron1 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.7). See
 --   'prop_c0102_identity1'.
 prop_c1200_identity2 :: Cube -> Bool
 prop_c1200_identity2 cube =
-    c t0 1 2 0 0 ~= (c t0 1 1 1 0 + c t3 1 1 0 1) / 2
+    c t0 1 2 0 0 ~= (c t0 1 1 1 0 + c t1 1 1 0 1) / 2
       where
         t0 = tetrahedron0 cube
-        t3 = tetrahedron3 cube
+        t1 = tetrahedron1 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.7). See
 --   'prop_c0102_identity1'.
 prop_c2100_identity2 :: Cube -> Bool
 prop_c2100_identity2 cube =
-    c t0 2 1 0 0 ~= (c t0 2 0 1 0 + c t3 2 0 0 1) / 2
+    c t0 2 1 0 0 ~= (c t0 2 0 1 0 + c t1 2 0 0 1) / 2
       where
         t0 = tetrahedron0 cube
-        t3 = tetrahedron3 cube
+        t1 = tetrahedron1 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.8). The third and