X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FGrid.hs;h=f94a519566c2efc6f37dcd9675b2a85ee7e32b3e;hb=518b4b43bfd6c7c1d09841ca3ff5eeae089351ea;hp=750cff81a3d1156000b6b8f78543d7c6451d54e7;hpb=a2cc10f44d77965b97c21ba74aa2acb302cd8fe0;p=spline3.git diff --git a/src/Tests/Grid.hs b/src/Tests/Grid.hs index 750cff8..f94a519 100644 --- a/src/Tests/Grid.hs +++ b/src/Tests/Grid.hs @@ -1,24 +1,17 @@ module Tests.Grid where -import Data.Maybe (fromJust) import Test.HUnit -import Test.QuickCheck import Assertions import Comparisons -import Cube +import Cube hiding (i, j, k) import Examples import FunctionValues (value_at) import Grid +import Point (Point) import Tetrahedron - - -instance Arbitrary Grid where - arbitrary = do - (Positive h') <- arbitrary :: Gen (Positive Double) - fvs <- arbitrary :: Gen [[[Double]]] - return (make_grid h' fvs) +import ThreeDimensional -- | Check the value of c0030 for tetrahedron0 belonging to the @@ -29,7 +22,7 @@ test_trilinear_c0030 = assertAlmostEqual "c0030 is correct" (c t 0 0 3 0) (17/8) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -41,7 +34,7 @@ test_trilinear_c0003 = assertAlmostEqual "c0003 is correct" (c t 0 0 0 3) (27/8) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -53,7 +46,7 @@ test_trilinear_c0021 = assertAlmostEqual "c0021 is correct" (c t 0 0 2 1) (61/24) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -65,7 +58,7 @@ test_trilinear_c0012 = assertAlmostEqual "c0012 is correct" (c t 0 0 1 2) (71/24) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -77,7 +70,7 @@ test_trilinear_c0120 = assertAlmostEqual "c0120 is correct" (c t 0 1 2 0) (55/24) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -89,7 +82,7 @@ test_trilinear_c0102 = assertAlmostEqual "c0102 is correct" (c t 0 1 0 2) (73/24) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -101,7 +94,7 @@ test_trilinear_c0111 = assertAlmostEqual "c0111 is correct" (c t 0 1 1 1) (8/3) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -113,7 +106,7 @@ test_trilinear_c0210 = assertAlmostEqual "c0210 is correct" (c t 0 2 1 0) (29/12) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -125,7 +118,7 @@ test_trilinear_c0201 = assertAlmostEqual "c0201 is correct" (c t 0 2 0 1) (11/4) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -137,7 +130,7 @@ test_trilinear_c0300 = assertAlmostEqual "c0300 is correct" (c t 0 3 0 0) (5/2) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -149,7 +142,7 @@ test_trilinear_c1020 = assertAlmostEqual "c1020 is correct" (c t 1 0 2 0) (8/3) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -161,7 +154,7 @@ test_trilinear_c1002 = assertAlmostEqual "c1002 is correct" (c t 1 0 0 2) (23/6) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -173,7 +166,7 @@ test_trilinear_c1011 = assertAlmostEqual "c1011 is correct" (c t 1 0 1 1) (13/4) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -185,7 +178,7 @@ test_trilinear_c1110 = assertAlmostEqual "c1110 is correct" (c t 1 1 1 0) (23/8) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -197,7 +190,7 @@ test_trilinear_c1101 = assertAlmostEqual "c1101 is correct" (c t 1 1 0 1) (27/8) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -209,7 +202,7 @@ test_trilinear_c1200 = assertAlmostEqual "c1200 is correct" (c t 1 2 0 0) 3 where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -221,7 +214,7 @@ test_trilinear_c2010 = assertAlmostEqual "c2010 is correct" (c t 2 0 1 0) (10/3) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -233,7 +226,7 @@ test_trilinear_c2001 = assertAlmostEqual "c2001 is correct" (c t 2 0 0 1) 4 where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -245,7 +238,7 @@ test_trilinear_c2100 = assertAlmostEqual "c2100 is correct" (c t 2 1 0 0) (7/2) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -257,7 +250,7 @@ test_trilinear_c3000 = assertAlmostEqual "c3000 is correct" (c t 3 0 0 0) 4 where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -269,7 +262,7 @@ test_trilinear_f0_t0_v0 = assertEqual "v0 is correct" (v0 t) (1, 1, 1) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -281,7 +274,7 @@ test_trilinear_f0_t0_v1 = assertEqual "v1 is correct" (v1 t) (0.5, 1, 1) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -293,7 +286,7 @@ test_trilinear_f0_t0_v2 = assertEqual "v2 is correct" (v2 t) (0.5, 0.5, 1.5) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -305,7 +298,7 @@ test_trilinear_f0_t0_v3 = assertClose "v3 is correct" (v3 t) (0.5, 1.5, 1.5) where g = make_grid 1 trilinear - cube = fromJust $ cube_at g 1 1 1 + cube = cube_at g 1 1 1 t = tetrahedron0 cube @@ -316,14 +309,14 @@ test_trilinear_reproduced = | i <- [0..2], j <- [0..2], k <- [0..2], + t <- tetrahedra c0, + let p = polynomial t, let i' = fromIntegral i, let j' = fromIntegral j, let k' = fromIntegral k] where g = make_grid 1 trilinear - c0 = fromJust $ cube_at g 1 1 1 - t0 = tetrahedron0 c0 - p = polynomial t0 + c0 = cube_at g 1 1 1 test_zeros_reproduced :: Assertion @@ -338,6 +331,44 @@ test_zeros_reproduced = let k' = fromIntegral k] where g = make_grid 1 zeros - c0 = fromJust $ cube_at g 1 1 1 + c0 = cube_at g 1 1 1 t0 = tetrahedron0 c0 p = polynomial t0 + + +-- | 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