module Tests.Grid
where
-import Data.Maybe (fromJust)
+import Test.Framework (Test, testGroup)
+import Test.Framework.Providers.HUnit (testCase)
import Test.HUnit
import Assertions
import Examples
import FunctionValues (value_at)
import Grid
+import Point (Point)
import Tetrahedron
-
-
--- | Check the value of c0030 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c0030 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c0003 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c0003 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c0021 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c0021 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c0012 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c0012 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c0120 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c0120 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c0102 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c0102 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c0111 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c0111 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c0210 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c0210 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c0201 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c0201 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c0300 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c0300 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c1020 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c1020 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c1002 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c1002 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c1011 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c1011 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c1110 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c1110 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c1101 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c1101 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c1200 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c1200 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c2010 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c2010 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c2001 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c2001 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c2100 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c2100 :: Assertion
-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
- t = tetrahedron0 cube
-
-
--- | Check the value of c3000 for tetrahedron0 belonging to the
--- cube centered on (1,1,1) with a grid constructed from the
--- trilinear values. See example one in the paper.
-test_trilinear_c3000 :: Assertion
-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
- t = tetrahedron0 cube
+import ThreeDimensional
+
+
+-- | Check all coefficients of tetrahedron0 belonging to the cube
+-- centered on (1,1,1) with a grid constructed from the trilinear
+-- values. See example one in the paper.
+trilinear_c0_t0_coefficient_tests :: Test.Framework.Test
+trilinear_c0_t0_coefficient_tests =
+ testGroup "trilinear c0 t0 coefficients" $
+ [testCase "c0030 is correct" test_trilinear_c0030,
+ testCase "c0003 is correct" test_trilinear_c0003,
+ testCase "c0021 is correct" test_trilinear_c0021,
+ testCase "c0012 is correct" test_trilinear_c0012,
+ testCase "c0120 is correct" test_trilinear_c0120,
+ testCase "c0102 is correct" test_trilinear_c0102,
+ testCase "c0111 is correct" test_trilinear_c0111,
+ testCase "c0210 is correct" test_trilinear_c0210,
+ testCase "c0201 is correct" test_trilinear_c0201,
+ testCase "c0300 is correct" test_trilinear_c0300,
+ testCase "c1020 is correct" test_trilinear_c1020,
+ testCase "c1002 is correct" test_trilinear_c1002,
+ testCase "c1011 is correct" test_trilinear_c1011,
+ testCase "c1110 is correct" test_trilinear_c1110,
+ testCase "c1101 is correct" test_trilinear_c1101,
+ testCase "c1200 is correct" test_trilinear_c1200,
+ testCase "c2010 is correct" test_trilinear_c2010,
+ testCase "c2001 is correct" test_trilinear_c2001,
+ testCase "c2100 is correct" test_trilinear_c2100,
+ testCase "c3000 is correct" test_trilinear_c3000]
+ where
+ g = make_grid 1 trilinear
+ cube = cube_at g 1 1 1
+ t = tetrahedron0 cube
+
+ test_trilinear_c0030 :: Assertion
+ test_trilinear_c0030 =
+ assertAlmostEqual "c0030 is correct" (c t 0 0 3 0) (17/8)
+
+ test_trilinear_c0003 :: Assertion
+ test_trilinear_c0003 =
+ assertAlmostEqual "c0003 is correct" (c t 0 0 0 3) (27/8)
+
+ test_trilinear_c0021 :: Assertion
+ test_trilinear_c0021 =
+ assertAlmostEqual "c0021 is correct" (c t 0 0 2 1) (61/24)
+
+ test_trilinear_c0012 :: Assertion
+ test_trilinear_c0012 =
+ assertAlmostEqual "c0012 is correct" (c t 0 0 1 2) (71/24)
+
+ test_trilinear_c0120 :: Assertion
+ test_trilinear_c0120 =
+ assertAlmostEqual "c0120 is correct" (c t 0 1 2 0) (55/24)
+
+ test_trilinear_c0102 :: Assertion
+ test_trilinear_c0102 =
+ assertAlmostEqual "c0102 is correct" (c t 0 1 0 2) (73/24)
+
+ test_trilinear_c0111 :: Assertion
+ test_trilinear_c0111 =
+ assertAlmostEqual "c0111 is correct" (c t 0 1 1 1) (8/3)
+
+ test_trilinear_c0210 :: Assertion
+ test_trilinear_c0210 =
+ assertAlmostEqual "c0210 is correct" (c t 0 2 1 0) (29/12)
+
+ test_trilinear_c0201 :: Assertion
+ test_trilinear_c0201 =
+ assertAlmostEqual "c0201 is correct" (c t 0 2 0 1) (11/4)
+
+ test_trilinear_c0300 :: Assertion
+ test_trilinear_c0300 =
+ assertAlmostEqual "c0300 is correct" (c t 0 3 0 0) (5/2)
+
+ test_trilinear_c1020 :: Assertion
+ test_trilinear_c1020 =
+ assertAlmostEqual "c1020 is correct" (c t 1 0 2 0) (8/3)
+
+ test_trilinear_c1002 :: Assertion
+ test_trilinear_c1002 =
+ assertAlmostEqual "c1002 is correct" (c t 1 0 0 2) (23/6)
+
+ test_trilinear_c1011 :: Assertion
+ test_trilinear_c1011 =
+ assertAlmostEqual "c1011 is correct" (c t 1 0 1 1) (13/4)
+
+ test_trilinear_c1110 :: Assertion
+ test_trilinear_c1110 =
+ assertAlmostEqual "c1110 is correct" (c t 1 1 1 0) (23/8)
+
+ test_trilinear_c1101 :: Assertion
+ test_trilinear_c1101 =
+ assertAlmostEqual "c1101 is correct" (c t 1 1 0 1) (27/8)
+
+ test_trilinear_c1200 :: Assertion
+ test_trilinear_c1200 =
+ assertAlmostEqual "c1200 is correct" (c t 1 2 0 0) 3
+
+ test_trilinear_c2010 :: Assertion
+ test_trilinear_c2010 =
+ assertAlmostEqual "c2010 is correct" (c t 2 0 1 0) (10/3)
+
+ test_trilinear_c2001 :: Assertion
+ test_trilinear_c2001 =
+ assertAlmostEqual "c2001 is correct" (c t 2 0 0 1) 4
+
+ test_trilinear_c2100 :: Assertion
+ test_trilinear_c2100 =
+ assertAlmostEqual "c2100 is correct" (c t 2 1 0 0) (7/2)
+
+ test_trilinear_c3000 :: Assertion
+ test_trilinear_c3000 =
+ assertAlmostEqual "c3000 is correct" (c t 3 0 0 0) 4
-- | Make sure that v0 of tetrahedron0 belonging to the cube centered
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
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
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
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
let k' = fromIntegral k]
where
g = make_grid 1 trilinear
- c0 = fromJust $ cube_at g 1 1 1
+ c0 = cube_at g 1 1 1
test_zeros_reproduced :: Assertion
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
let k' = (fromIntegral k) * 0.5]
where
g = make_grid 1 trilinear
- c0 = fromJust $ cube_at g 1 1 1
-
+ 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
projects / spline3.git / blobdiff