Add five new prop_c0120_identity tests.

[spline3.git] / src / Tests / Cube.hs

diff --git a/src/Tests/Cube.hs b/src/Tests/Cube.hs
index 11159b5bc6f668a6e14f0976646c5e50398d1236..295eaa680f867cc0c453f807bb6d99dc58174a52 100644 (file)
--- a/src/Tests/Cube.hs
+++ b/src/Tests/Cube.hs
@@ -264,7 +264,7 @@ prop_tetrahedron23_volumes_positive 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_c0120_identity1 :: Cube -> Bool
 prop_c0120_identity1 cube =
@@ -274,10 +274,59 @@ prop_c0120_identity1 cube =
        t3 = tetrahedron3 cube
 
 
+-- | Given in Sorokina and Zeilfelder, p. 79. Repeats
+--   prop_c0120_identity2 with tetrahedrons 3 and 2.
+prop_c0120_identity2 :: Cube -> Bool
+prop_c0120_identity2 cube =
+   c t3 0 1 2 0 ~= (c t3 0 0 2 1 + c t2 0 0 1 2) / 2
+     where
+       t3 = tetrahedron3 cube
+       t2 = tetrahedron2 cube
+
+-- | Given in Sorokina and Zeilfelder, p. 79. Repeats
+--   prop_c0120_identity1 with tetrahedrons 2 and 1.
+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
+       t2 = tetrahedron2 cube
+       t1 = tetrahedron1 cube
+
+
+-- | Given in Sorokina and Zeilfelder, p. 79. Repeats
+--   prop_c0120_identity1 with tetrahedrons 4 and 7.
+prop_c0120_identity4 :: Cube -> Bool
+prop_c0120_identity4 cube =
+   c t4 0 1 2 0 ~= (c t4 0 0 2 1 + c t7 0 0 1 2) / 2
+     where
+       t4 = tetrahedron4 cube
+       t7 = tetrahedron7 cube
+
+
+-- | Given in Sorokina and Zeilfelder, p. 79. Repeats
+--   prop_c0120_identity1 with tetrahedrons 7 and 6.
+prop_c0120_identity5 :: Cube -> Bool
+prop_c0120_identity5 cube =
+   c t7 0 1 2 0 ~= (c t7 0 0 2 1 + c t6 0 0 1 2) / 2
+     where
+       t7 = tetrahedron7 cube
+       t6 = tetrahedron6 cube
+
+
+-- | Given in Sorokina and Zeilfelder, p. 79. Repeats
+--   prop_c0120_identity1 with tetrahedrons 6 and 5.
+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
+       t6 = tetrahedron6 cube
+       t5 = tetrahedron5 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 =
@@ -290,7 +339,7 @@ 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 =
@@ -303,7 +352,7 @@ 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 =
@@ -316,7 +365,7 @@ 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 =
@@ -329,7 +378,7 @@ 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 =
@@ -343,7 +392,7 @@ 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 =
@@ -356,7 +405,7 @@ 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 =
@@ -369,7 +418,7 @@ 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 =
@@ -382,7 +431,7 @@ 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 =
@@ -395,7 +444,7 @@ 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 =
@@ -408,7 +457,7 @@ 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 =