+
+
+-- | Make sure we can reproduce a 9x9x9 trilinear from the 3x3x3 one.
+test_trilinear9x9x9_reproduced :: Assertion
+test_trilinear9x9x9_reproduced =
+ assertTrue "trilinear 9x9x9 is reproduced correctly" $
+ and [p (i', j', k') ~= value_at trilinear9x9x9 i j k
+ | i <- [0..8],
+ j <- [0..8],
+ k <- [0..8],
+ t <- tetrahedra c0,
+ let p = polynomial t,
+ let i' = (fromIntegral i) * 0.5,
+ let j' = (fromIntegral j) * 0.5,
+ let k' = (fromIntegral k) * 0.5]
+ where
+ g = make_grid 1 trilinear
+ c0 = cube_at g 1 1 1
+
+
+-- | The point 'p' in this test lies on the boundary of tetrahedra 12 and 15.
+-- However, the 'contains_point' test fails due to some numerical innacuracy.
+-- This bug should have been fixed by setting a positive tolerance level.
+--
+-- Example from before the fix:
+--
+-- > b0 (tetrahedron15 c) p
+-- -3.4694469519536365e-18
+--
+test_tetrahedra_collision_sensitivity :: Assertion
+test_tetrahedra_collision_sensitivity =
+ assertTrue "tetrahedron collision tests isn't too sensitive" $
+ contains_point t15 p
+ where
+ g = make_grid 1 naturals_1d
+ c = cube_at g 0 17 1
+ p = (0, 16.75, 0.5) :: Point
+ t15 = tetrahedron15 c