Uncomment the (2.5) cijk1 identity and make a TODO item for it.

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

diff --git a/src/Tests/Cube.hs b/src/Tests/Cube.hs
index 6b11f482d7fd4fad80b3382066c3b752d904a281..a772f4bc8eb8f91e38a1bfd920da98967af7011a 100644 (file)
--- a/src/Tests/Cube.hs
+++ b/src/Tests/Cube.hs
@@ -625,15 +625,14 @@ prop_c2100_identity2 cube =
 --   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! We also switch the third and fourth vertices of t6, but
---   as of now, why this works is a mystery.
+--   volume!
 prop_c3000_identity :: Cube -> Bool
 prop_c3000_identity cube =
     c t0 3 0 0 0 ~= c t0 2 1 0 0 + c t6 2 1 0 0
                     - ((c t0 2 0 1 0 + c t0 2 0 0 1)/ 2)
       where
         t0 = tetrahedron0 cube
-        t6 = (tetrahedron6 cube) { v2 = (v3 t6), v3 = (v2 t6) }
+        t6 = tetrahedron6 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.8). See
@@ -644,7 +643,7 @@ prop_c2010_identity cube =
                     - ((c t0 1 0 2 0 + c t0 1 0 1 1)/ 2)
       where
         t0 = tetrahedron0 cube
-        t6 = (tetrahedron6 cube) { v2 = (v3 t6), v3 = (v2 t6) }
+        t6 = tetrahedron6 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.8). See
@@ -655,7 +654,7 @@ prop_c2001_identity cube =
                     - ((c t0 1 0 0 2 + c t0 1 0 1 1)/ 2)
       where
         t0 = tetrahedron0 cube
-        t6 = (tetrahedron6 cube) { v2 = (v3 t6), v3 = (v2 t6) }
+        t6 = tetrahedron6 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.8). See
@@ -666,7 +665,7 @@ prop_c1020_identity cube =
                     - ((c t0 0 0 3 0 + c t0 0 0 2 1)/ 2)
       where
         t0 = tetrahedron0 cube
-        t6 = (tetrahedron6 cube) { v2 = (v3 t6), v3 = (v2 t6) }
+        t6 = tetrahedron6 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.8). See
@@ -677,7 +676,7 @@ prop_c1002_identity cube =
                     - ((c t0 0 0 0 3 + c t0 0 0 1 2)/ 2)
       where
         t0 = tetrahedron0 cube
-        t6 = (tetrahedron6 cube) { v2 = (v3 t6), v3 = (v2 t6) }
+        t6 = tetrahedron6 cube
 
 
 -- | Given in Sorokina and Zeilfelder, p. 79, (2.8). See
@@ -688,25 +687,24 @@ prop_c1011_identity cube =
                     ((c t0 0 0 1 2 + c t0 0 0 2 1)/ 2)
       where
         t0 = tetrahedron0 cube
-        t6 = (tetrahedron6 cube) { v2 = (v3 t6), v3 = (v2 t6) }
+        t6 = tetrahedron6 cube
 
 
 
 -- | Given in Sorokina and Zeilfelder, p. 78.
--- prop_cijk1_identity :: Cube -> Bool
--- prop_cijk1_identity cube =
---      and [ c t0 i j k 1 ~=
---                  (c t1 (i+1) j k 0) * ((b0 t0) (v3 t1)) +
---                  (c t1 i (j+1) k 0) * ((b1 t0) (v3 t1)) +
---                  (c t1 i j (k+1) 0) * ((b2 t0) (v3 t1)) +
---                  (c t1 i j k 1) * ((b3 t0) (v3 t1)) | i <- [0..2],
---                                                       j <- [0..2],
---                                                       k <- [0..2],
---                                                       i + j + k == 2]
---       where
---         t0 = tetrahedron0 cube
---         t1 = tetrahedron1 cube
-
+prop_cijk1_identity :: Cube -> Bool
+prop_cijk1_identity cube =
+     and [ c t0 i j k 1 ~=
+                 (c t1 (i+1) j k 0) * ((b0 t0) (v3 t1)) +
+                 (c t1 i (j+1) k 0) * ((b1 t0) (v3 t1)) +
+                 (c t1 i j (k+1) 0) * ((b2 t0) (v3 t1)) +
+                 (c t1 i j k 1) * ((b3 t0) (v3 t1)) | i <- [0..2],
+                                                      j <- [0..2],
+                                                      k <- [0..2],
+                                                      i + j + k == 2]
+      where
+        t0 = tetrahedron0 cube
+        t1 = tetrahedron1 cube
 
 
 -- | The function values at the interior should be the same for all tetrahedra.