X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FCube.hs;h=26d4d33f5ab7e21f3b85fc032ae98113edd6b25d;hb=2064e9a7da32813c6dce843127e2306b841df353;hp=5485046ec46b934cc423bb9dedb0054eab9d289b;hpb=76ff394c3e5a551e2a6bbf51fbee4e91b90b1611;p=spline3.git diff --git a/src/Tests/Cube.hs b/src/Tests/Cube.hs index 5485046..26d4d33 100644 --- a/src/Tests/Cube.hs +++ b/src/Tests/Cube.hs @@ -1,13 +1,16 @@ module Tests.Cube where +import Debug.Trace (trace) import Test.QuickCheck import Comparisons import Cube import FunctionValues (FunctionValues) import Tests.FunctionValues () -import Tetrahedron (v0, volume) +import Tetrahedron (b0, b1, b2, b3, c, + Tetrahedron(Tetrahedron), + v0, v1, v2, v3, volume) instance Arbitrary Cube where arbitrary = do @@ -258,3 +261,31 @@ prop_tetrahedron22_volumes_positive c = prop_tetrahedron23_volumes_positive :: Cube -> Bool 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. 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