src/Tests/Face.hs

   1 module Tests.Face
   2 where
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  11
  12 -- -- | Given in Sorokina and Zeilfelder, p. 80.
  13 -- prop_c0120_identity2 :: Cube -> Bool
  14 -- prop_c0120_identity2 cube =
  15 --         c t0' 0 1 2 0 ~= (c t0' 1 0 2 0 + c t1' 1 0 2 0) / 2
  16 --       where
  17 --         t0 = tetrahedron0 (face0 cube)
  18 --         t1 = tetrahedron0 (face2 (top cube))
  19 --         t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0)
  20 --         t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1)
  21
  22
  23 -- -- | Given in Sorokina and Zeilfelder, p. 80.
  24 -- prop_c0102_identity2 :: Cube -> Bool
  25 -- prop_c0102_identity2 cube =
  26 --     c t0' 0 1 0 2 ~= (c t0' 1 0 0 2 + c t1' 1 0 0 2) / 2
  27 --       where
  28 --         t0 = tetrahedron0 (face0 cube)
  29 --         t1 = tetrahedron0 (face2 (top cube))
  30 --         t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0)
  31 --         t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1)
  32
  33
  34 -- -- | Given in Sorokina and Zeilfelder, p. 80.
  35 -- prop_c0111_identity :: Cube -> Bool
  36 -- prop_c0111_identity cube =
  37 --     c t0' 0 1 1 1 ~= (c t0' 1 0 1 1 + c t1' 1 0 1 1) / 2
  38 --       where
  39 --         t0 = tetrahedron0 (face0 cube)
  40 --         t1 = tetrahedron0 (face2 (top cube))
  41 --         t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0)
  42 --         t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1)
  43
  44
  45 -- -- | Given in Sorokina and Zeilfelder, p. 80.
  46 -- prop_c0210_identity2 :: Cube -> Bool
  47 -- prop_c0210_identity2 cube =
  48 --     c t0 0 2 1 0 ~= (c t0 1 1 1 0 + c t1 1 1 1 0) / 2
  49 --       where
  50 --         t0 = tetrahedron0 (face0 cube)
  51 --         t1 = tetrahedron0 (face2 (top cube))
  52 --         t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0)
  53 --         t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1)
  54
  55
  56 -- -- | Given in Sorokina and Zeilfelder, p. 80.
  57 -- prop_c0201_identity2 :: Cube -> Bool
  58 -- prop_c0201_identity2 cube =
  59 --     c t0 0 2 0 1 ~= (c t0 1 1 0 1 + c t1 1 1 0 1) / 2
  60 --       where
  61 --         t0 = tetrahedron0 (face0 cube)
  62 --         t1 = tetrahedron0 (face2 (top cube))
  63 --         t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0)
  64 --         t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1)
  65
  66
  67 -- -- | Given in Sorokina and Zeilfelder, p. 80.
  68 -- prop_c0300_identity3 :: Cube -> Bool
  69 -- prop_c0300_identity3 cube =
  70 --     c t0 0 3 0 0 ~= (c t0 1 2 0 0 + c t1 1 2 0 0) / 2
  71 --       where
  72 --         t0 = tetrahedron0 (face0 cube)
  73 --         t1 = tetrahedron0 (face2 (top cube))
  74 --         t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0)
  75 --         t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1)