X-Git-Url: https://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FGrid.hs;h=a8bc68543a03b4423884b8abcf9deb95295a6f28;hb=957754c693525096c5fd7427decd6404bbb03379;hp=f94a519566c2efc6f37dcd9675b2a85ee7e32b3e;hpb=b9c6d5f4f9cf3e0e8c32499959c879e6300717f6;p=spline3.git

diff --git a/src/Tests/Grid.hs b/src/Tests/Grid.hs
index f94a519..a8bc685 100644
--- a/src/Tests/Grid.hs
+++ b/src/Tests/Grid.hs
@@ -1,7 +1,11 @@
 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
@@ -12,294 +16,147 @@ import Grid
 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
@@ -372,3 +229,32 @@ test_tetrahedra_collision_sensitivity =
     c = cube_at g 0 17 1
     p = (0, 16.75, 0.5) :: Point
     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