X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FCube.hs;h=2bdda665ab2032feabc12485309c3d4969a8f4e4;hb=e81be702ecf9a92e2c430d283b16b12987e03b81;hp=666fde8899c168f85b061430ce06f5ee3ca93e1f;hpb=5109e41113a39024ef3fe799abb08de4a2ac74b0;p=spline3.git diff --git a/src/Tests/Cube.hs b/src/Tests/Cube.hs index 666fde8..2bdda66 100644 --- a/src/Tests/Cube.hs +++ b/src/Tests/Cube.hs @@ -341,6 +341,85 @@ 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 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 = + c t0 0 1 0 2 ~= (c t0 0 0 1 2 + c t1 0 0 2 1) / 2 + where + t0 = tetrahedron0 cube + t1 = tetrahedron1 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 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 = + c t0 0 2 0 1 ~= (c t0 0 1 1 1 + c t1 0 1 1 1) / 2 + where + t0 = tetrahedron0 cube + t1 = tetrahedron1 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 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 = + c t0 0 3 0 0 ~= (c t0 0 2 1 0 + c t1 0 2 0 1) / 2 + where + t0 = tetrahedron0 cube + t1 = tetrahedron1 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 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 = + c t0 1 1 0 1 ~= (c t0 1 0 1 1 + c t1 1 0 1 1) / 2 + where + t0 = tetrahedron0 cube + t1 = tetrahedron1 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 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 = + c t0 1 2 0 0 ~= (c t0 1 1 1 0 + c t1 1 1 0 1) / 2 + where + t0 = tetrahedron0 cube + t1 = tetrahedron1 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 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 = + c t0 2 1 0 0 ~= (c t0 2 0 1 0 + c t1 2 0 0 1) / 2 + where + t0 = tetrahedron0 cube + t1 = tetrahedron1 cube + + + -- | Given in Sorokina and Zeilfelder, p. 78. -- prop_cijk1_identity :: Cube -> Bool -- prop_cijk1_identity cube =