From: Michael Orlitzky Date: Sun, 8 May 2011 04:21:29 +0000 (-0400) Subject: Re-enable all of the tests for (2.6) and make them pass by switchint the third and... X-Git-Tag: 0.0.1~311 X-Git-Url: http://gitweb.michael.orlitzky.com/?p=spline3.git;a=commitdiff_plain;h=5109e41113a39024ef3fe799abb08de4a2ac74b0 Re-enable all of the tests for (2.6) and make them pass by switchint the third and fourth indices for T-tilde. --- diff --git a/src/Tests/Cube.hs b/src/Tests/Cube.hs index 26d4d33..666fde8 100644 --- a/src/Tests/Cube.hs +++ b/src/Tests/Cube.hs @@ -1,7 +1,6 @@ module Tests.Cube where -import Debug.Trace (trace) import Test.QuickCheck import Comparisons @@ -263,16 +262,83 @@ prop_tetrahedron23_volumes_positive c = volume (tetrahedron23 c) > 0 --- | Given in Sorokina and Zeilfelder, p. 79. ---prop_c0120_identity1 :: Cube -> Bool ---prop_c0120_identity1 cube = --- c0 ~= (c1 + c2) / 2 --- where --- c0 = trace ("c0 :" ++ (show (c t0 0 1 2 0))) (c t0 0 1 2 0) --- c1 = trace ("c1 :" ++ (show (c t0 0 0 2 1))) (c t0 0 0 2 1) --- c2 = trace ("c2 :" ++ (show (c t1 0 0 2 1))) (c t1 0 0 2 1) --- t0 = tetrahedron0 cube --- t1 = tetrahedron1 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 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 t3 0 0 1 2) / 2 + where + t0 = tetrahedron0 cube + t3 = tetrahedron3 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 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 = + c t0 0 2 1 0 ~= (c t0 0 1 1 1 + c t3 0 1 1 1) / 2 + where + t0 = tetrahedron0 cube + t3 = tetrahedron3 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 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 = + c t0 0 3 0 0 ~= (c t0 0 2 0 1 + c t3 0 2 1 0) / 2 + where + t0 = tetrahedron0 cube + t3 = tetrahedron3 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 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 = + c t0 1 1 1 0 ~= (c t0 1 0 1 1 + c t3 1 0 1 1) / 2 + where + t0 = tetrahedron0 cube + t3 = tetrahedron3 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 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 = + c t0 1 2 0 0 ~= (c t0 1 1 0 1 + c t3 1 1 1 0) / 2 + where + t0 = tetrahedron0 cube + t3 = tetrahedron3 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 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 = + c t0 2 1 0 0 ~= (c t0 2 0 0 1 + c t3 2 0 1 0) / 2 + where + t0 = tetrahedron0 cube + t3 = tetrahedron3 cube + -- | Given in Sorokina and Zeilfelder, p. 78. diff --git a/src/Tests/Face.hs b/src/Tests/Face.hs index 5e5b4c2..7c2db0f 100644 --- a/src/Tests/Face.hs +++ b/src/Tests/Face.hs @@ -1,58 +1,8 @@ module Tests.Face where --- -- | Given in Sorokina and Zeilfelder, p. 79. --- 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 --- where --- t0 = tetrahedron0 (face0 cube) --- t1 = tetrahedron1 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1) - - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- 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 0 1) / 2 --- where --- t0 = tetrahedron0 (face0 cube) --- t1 = tetrahedron1 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1) - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- 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 --- where --- t0 = tetrahedron0 (face0 cube) --- t1 = tetrahedron1 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1) --- -- | Given in Sorokina and Zeilfelder, p. 79. --- 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 0 1) / 2 --- where --- t0 = tetrahedron0 (face0 cube) --- t1 = tetrahedron1 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1) - - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- 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 0 1) / 2 --- where --- t0 = tetrahedron0 (face0 cube) --- t1 = tetrahedron1 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1) -- -- | Given in Sorokina and Zeilfelder, p. 79. diff --git a/test/TestSuite.hs b/test/TestSuite.hs index ce386db..0e0055d 100644 --- a/test/TestSuite.hs +++ b/test/TestSuite.hs @@ -2,7 +2,7 @@ import Test.HUnit import Test.QuickCheck import Tests.Cardinal -import Tests.Cube +import Tests.Cube as TC import Tests.Grid import Tests.Misc import Tests.Tetrahedron as TT @@ -29,9 +29,6 @@ main = do putStrLn "\nCube Tests\n" - -- putStr "prop_c0120_identity1... " - -- quickCheckWith qc_args prop_c0120_identity1 - putStr "prop_all_volumes_positive... " quickCheckWith qc_args prop_all_volumes_positive @@ -137,94 +134,31 @@ main = do putStr "prop_v0_all_equal... " quickCheckWith qc_args prop_v0_all_equal --- putStrLn "\np. 78, (2.5)\n" - --- putStr "prop_cijk1_identity... " --- quickCheckWith qc_args prop_cijk1_identity - - - putStrLn "\nMisc Tests\n" - - putStr "prop_factorial_greater... " - quickCheckWith qc_args prop_factorial_greater - - putStrLn "\nTetrahedron Tests\n" - - putStr "prop_b0_v0_always_unity... " - quickCheckWith qc_args prop_b0_v0_always_unity - - putStr "prop_b0_v1_always_zero... " - quickCheckWith qc_args prop_b0_v1_always_zero - - putStr "prop_b0_v2_always_zero... " - quickCheckWith qc_args prop_b0_v2_always_zero - - putStr "prop_b0_v3_always_zero... " - quickCheckWith qc_args prop_b0_v3_always_zero - - putStr "prop_b1_v1_always_unity... " - quickCheckWith qc_args prop_b1_v1_always_unity - - putStr "prop_b1_v0_always_zero... " - quickCheckWith qc_args prop_b1_v0_always_zero - - putStr "prop_b1_v2_always_zero... " - quickCheckWith qc_args prop_b1_v2_always_zero - - putStr "prop_b1_v3_always_zero... " - quickCheckWith qc_args prop_b1_v3_always_zero - - putStr "prop_b2_v2_always_unity... " - quickCheckWith qc_args prop_b2_v2_always_unity - - putStr "prop_b2_v0_always_zero... " - quickCheckWith qc_args prop_b2_v0_always_zero - - putStr "prop_b2_v1_always_zero... " - quickCheckWith qc_args prop_b2_v1_always_zero + -- putStrLn "\np. 78, (2.5)\n" - putStr "prop_b2_v3_always_zero... " - quickCheckWith qc_args prop_b2_v3_always_zero - - putStr "prop_b3_v3_always_unity... " - quickCheckWith qc_args prop_b3_v3_always_unity - - putStr "prop_b3_v0_always_zero... " - quickCheckWith qc_args prop_b3_v0_always_zero + -- putStr "prop_cijk1_identity... " + -- quickCheckWith qc_args prop_cijk1_identity - putStr "prop_b3_v1_always_zero... " - quickCheckWith qc_args prop_b3_v1_always_zero - putStr "prop_b3_v2_always_zero... " - quickCheckWith qc_args prop_b3_v2_always_zero + -- putStrLn "\np. 79, (2.6)\n" - putStrLn "\np. 78, (2.4)\n" + putStr "prop_c0120_identity1... " + quickCheckWith qc_args TC.prop_c0120_identity1 - putStr "prop_c3000_identity... " - quickCheckWith qc_args TT.prop_c3000_identity + putStr "prop_c0210_identity1... " + quickCheckWith qc_args TC.prop_c0210_identity1 - putStr "prop_c2100_identity... " - quickCheckWith qc_args TT.prop_c2100_identity + putStr "prop_c0300_identity1... " + quickCheckWith qc_args TC.prop_c0300_identity1 putStr "prop_c1110_identity... " - quickCheckWith qc_args TT.prop_c1110_identity - - -- putStrLn "\np. 79, (2.6)\n" + quickCheckWith qc_args TC.prop_c1110_identity - -- putStr "prop_c0210_identity1... " - -- quickCheckWith qc_args TF.prop_c0210_identity1 + putStr "prop_c1200_identity1... " + quickCheckWith qc_args TC.prop_c1200_identity1 - -- putStr "prop_c0300_identity1... " - -- quickCheckWith qc_args TF.prop_c0300_identity1 - - -- putStr "prop_c1110_identity... " - -- quickCheckWith qc_args TF.prop_c1110_identity - - -- putStr "prop_c1200_identity1... " - -- quickCheckWith qc_args prop_c1200_identity1 - - -- putStr "prop_c2100_identity1... " - -- quickCheckWith qc_args TF.prop_c2100_identity1 + putStr "prop_c2100_identity1... " + quickCheckWith qc_args TC.prop_c2100_identity1 -- putStrLn "\np. 79, (2.7)\n" @@ -286,6 +220,74 @@ main = do -- putStr "prop_c0300_identity3... " -- quickCheckWith qc_args TF.prop_c0300_identity3 + + putStrLn "\nMisc Tests\n" + + putStr "prop_factorial_greater... " + quickCheckWith qc_args prop_factorial_greater + + putStrLn "\nTetrahedron Tests\n" + + putStr "prop_b0_v0_always_unity... " + quickCheckWith qc_args prop_b0_v0_always_unity + + putStr "prop_b0_v1_always_zero... " + quickCheckWith qc_args prop_b0_v1_always_zero + + putStr "prop_b0_v2_always_zero... " + quickCheckWith qc_args prop_b0_v2_always_zero + + putStr "prop_b0_v3_always_zero... " + quickCheckWith qc_args prop_b0_v3_always_zero + + putStr "prop_b1_v1_always_unity... " + quickCheckWith qc_args prop_b1_v1_always_unity + + putStr "prop_b1_v0_always_zero... " + quickCheckWith qc_args prop_b1_v0_always_zero + + putStr "prop_b1_v2_always_zero... " + quickCheckWith qc_args prop_b1_v2_always_zero + + putStr "prop_b1_v3_always_zero... " + quickCheckWith qc_args prop_b1_v3_always_zero + + putStr "prop_b2_v2_always_unity... " + quickCheckWith qc_args prop_b2_v2_always_unity + + putStr "prop_b2_v0_always_zero... " + quickCheckWith qc_args prop_b2_v0_always_zero + + putStr "prop_b2_v1_always_zero... " + quickCheckWith qc_args prop_b2_v1_always_zero + + putStr "prop_b2_v3_always_zero... " + quickCheckWith qc_args prop_b2_v3_always_zero + + putStr "prop_b3_v3_always_unity... " + quickCheckWith qc_args prop_b3_v3_always_unity + + putStr "prop_b3_v0_always_zero... " + quickCheckWith qc_args prop_b3_v0_always_zero + + putStr "prop_b3_v1_always_zero... " + quickCheckWith qc_args prop_b3_v1_always_zero + + putStr "prop_b3_v2_always_zero... " + quickCheckWith qc_args prop_b3_v2_always_zero + + putStrLn "\np. 78, (2.4)\n" + + putStr "prop_c3000_identity... " + quickCheckWith qc_args TT.prop_c3000_identity + + putStr "prop_c2100_identity... " + quickCheckWith qc_args TT.prop_c2100_identity + + putStr "prop_c1110_identity... " + quickCheckWith qc_args TT.prop_c1110_identity + + putStrLn "\nCardinal Tests\n" putStr "prop_ccwx_rotation_changes_direction... "