module Tests.Grid
where
+import Test.Framework (Test, testGroup)
+import Test.Framework.Providers.HUnit (testCase)
import Test.HUnit
+import Test.QuickCheck
+
import Assertions
import Comparisons
import Point (Point)
import Tetrahedron
import ThreeDimensional
+import Values (dims)
+
+
+-- | 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.
+--
+-- We also verify that the four vertices on face0 of the cube are
+-- in the correct location.
+--
+trilinear_c0_t0_tests :: Test.Framework.Test
+trilinear_c0_t0_tests =
+ testGroup "trilinear c0 t0"
+ [testGroup "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],
+
+ testGroup "face0 vertices"
+ [testCase "v0 is correct" test_trilinear_f0_t0_v0,
+ testCase "v1 is correct" test_trilinear_f0_t0_v1,
+ testCase "v2 is correct" test_trilinear_f0_t0_v2,
+ testCase "v3 is correct" test_trilinear_f0_t0_v3]
+ ]
+ 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)
--- | 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = 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 = cube_at g 1 1 1
- t = tetrahedron0 cube
-
-
--- | Make sure that v0 of tetrahedron0 belonging to the cube centered
--- on (1,1,1) with a grid constructed from the trilinear values
--- winds up in the right place. See example one in the paper.
-test_trilinear_f0_t0_v0 :: Assertion
-test_trilinear_f0_t0_v0 =
- assertEqual "v0 is correct" (v0 t) (1, 1, 1)
- where
- g = make_grid 1 trilinear
- cube = cube_at g 1 1 1
- t = tetrahedron0 cube
-
-
--- | Make sure that v1 of tetrahedron0 belonging to the cube centered
--- on (1,1,1) with a grid constructed from the trilinear values
--- winds up in the right place. See example one in the paper.
-test_trilinear_f0_t0_v1 :: Assertion
-test_trilinear_f0_t0_v1 =
- assertEqual "v1 is correct" (v1 t) (0.5, 1, 1)
- where
- g = make_grid 1 trilinear
- cube = cube_at g 1 1 1
- t = tetrahedron0 cube
-
-
--- | Make sure that v2 of tetrahedron0 belonging to the cube centered
--- on (1,1,1) with a grid constructed from the trilinear values
--- winds up in the right place. See example one in the paper.
-test_trilinear_f0_t0_v2 :: Assertion
-test_trilinear_f0_t0_v2 =
- assertEqual "v2 is correct" (v2 t) (0.5, 0.5, 1.5)
- where
- g = make_grid 1 trilinear
- cube = cube_at g 1 1 1
- t = tetrahedron0 cube
-
-
--- | Make sure that v3 of tetrahedron0 belonging to the cube centered
--- on (1,1,1) with a grid constructed from the trilinear values
--- winds up in the right place. See example one in the paper.
-test_trilinear_f0_t0_v3 :: Assertion
-test_trilinear_f0_t0_v3 =
- assertClose "v3 is correct" (v3 t) (0.5, 1.5, 1.5)
- where
- g = make_grid 1 trilinear
- cube = cube_at g 1 1 1
- t = tetrahedron0 cube
+ 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
+
+ test_trilinear_f0_t0_v0 :: Assertion
+ test_trilinear_f0_t0_v0 =
+ assertEqual "v0 is correct" (v0 t) (1, 1, 1)
+
+ test_trilinear_f0_t0_v1 :: Assertion
+ test_trilinear_f0_t0_v1 =
+ assertEqual "v1 is correct" (v1 t) (0.5, 1, 1)
+
+ test_trilinear_f0_t0_v2 :: Assertion
+ test_trilinear_f0_t0_v2 =
+ assertEqual "v2 is correct" (v2 t) (0.5, 0.5, 1.5)
+
+ test_trilinear_f0_t0_v3 :: Assertion
+ test_trilinear_f0_t0_v3 =
+ assertClose "v3 is correct" (v3 t) (0.5, 1.5, 1.5)
test_trilinear_reproduced :: Assertion
--
-- Example from before the fix:
--
--- > b0 (tetrahedron12 c) p
--- -2.168404344971019e-18
-- > b0 (tetrahedron15 c) p
-- -3.4694469519536365e-18
--
test_tetrahedra_collision_sensitivity :: Assertion
test_tetrahedra_collision_sensitivity =
- assertTrue "tetrahedron collision tests aren't too sensitive" $
- contains_point t12 p &&
+ assertTrue "tetrahedron collision tests isn't too sensitive" $
contains_point t15 p
where
- g = make_grid 1 trilinear
+ g = make_grid 1 naturals_1d
c = cube_at g 0 17 1
p = (0, 16.75, 0.5) :: Point
- t12 = tetrahedron12 c
t15 = tetrahedron15 c
+
+
+prop_cube_indices_never_go_out_of_bounds :: Grid -> Gen Bool
+prop_cube_indices_never_go_out_of_bounds g =
+ do
+ let delta = Grid.h g
+ let coordmin = negate (delta/2)
+
+ let (xsize, ysize, zsize) = dims $ function_values g
+ let xmax = delta*(fromIntegral xsize) - (delta/2)
+ let ymax = delta*(fromIntegral ysize) - (delta/2)
+ let zmax = delta*(fromIntegral zsize) - (delta/2)
+
+ x <- choose (coordmin, xmax)
+ y <- choose (coordmin, ymax)
+ z <- choose (coordmin, zmax)
+
+ let p = (x,y,z) :: Point
+ let idx_x = calculate_containing_cube_coordinate g x
+ let idx_y = calculate_containing_cube_coordinate g y
+ let idx_z = calculate_containing_cube_coordinate g z
+
+ return $
+ idx_x >= 0 &&
+ idx_x <= xsize - 1 &&
+ idx_y >= 0 &&
+ idx_y <= ysize - 1 &&
+ idx_z >= 0 &&
+ idx_z <= zsize - 1
projects / spline3.git / blobdiff