X-Git-Url: https://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FTetrahedron.hs;h=3b511d2104770e0ce3b5d6a3a6bfe764b49440af;hb=3d197ab1a23d654d60617db6559daed195f1e016;hp=98edf63b782af79552d76935552694ec1498590d;hpb=89b8b6e94fcc944a1f4611811265f3c6217af850;p=spline3.git

diff --git a/src/Tests/Tetrahedron.hs b/src/Tests/Tetrahedron.hs
index 98edf63..3b511d2 100644
--- a/src/Tests/Tetrahedron.hs
+++ b/src/Tests/Tetrahedron.hs
@@ -1,241 +1,261 @@
 module Tests.Tetrahedron
 where
 
+import Test.Framework (Test, testGroup)
+import Test.Framework.Providers.HUnit (testCase)
 import Test.HUnit
-import Test.QuickCheck
+import Test.QuickCheck (Property, (==>))
 
-import Cube
-import Point
-import Tests.Cube()
+import Cardinal
+import Comparisons
+import FunctionValues
+import Tests.FunctionValues()
 import Tetrahedron
 import ThreeDimensional
 
-instance Arbitrary Tetrahedron where
-    arbitrary = do
-      rnd_c0 <- arbitrary :: Gen Cube
-      rnd_v0 <- arbitrary :: Gen Point
-      rnd_v1 <- arbitrary :: Gen Point
-      rnd_v2 <- arbitrary :: Gen Point
-      rnd_v3 <- arbitrary :: Gen Point
-      return (Tetrahedron rnd_c0 rnd_v0 rnd_v1 rnd_v2 rnd_v3)
-
-almost_equals :: Double -> Double -> Bool
-almost_equals x y = (abs (x - y)) < 0.0001
-
-(~=) :: Double -> Double -> Bool
-(~=) = almost_equals
-
-
 -- HUnit Tests
 
--- Since p0, p1, p2 are in clockwise order, we expect the volume here
--- to be negative.
-test_volume1 :: Test
-test_volume1 =
-    TestCase $ assertEqual "volume is correct" True (vol ~= (-1/3))
-    where
-      p0 = (0, -0.5, 0)
-      p1 = (0, 0.5, 0)
-      p2 = (2, 0, 0)
-      p3 = (1, 0, 1)
-      t = Tetrahedron { cube = empty_cube,
-                        v0 = p0,
-                        v1 = p1,
-                        v2 = p2,
-                        v3 = p3 }
-      vol = volume t
-
-
--- Now, p0, p1, and p2 are in counter-clockwise order. The volume
--- should therefore be positive.
-test_volume2 :: Test
-test_volume2 =
-    TestCase $ assertEqual "volume is correct" True (vol ~= (1/3))
-    where
-      p0 = (0, -0.5, 0)
-      p1 = (2, 0, 0)
-      p2 = (0, 0.5, 0)
-      p3 = (1, 0, 1)
-      t = Tetrahedron { cube = empty_cube,
-                        v0 = p0,
-                        v1 = p1,
-                        v2 = p2,
-                        v3 = p3 }
-      vol = volume t
-
-test_contains_point1 :: Test
-test_contains_point1 =
-    TestCase $ assertEqual "contains an inner point" True (contains_point t inner_point)
-    where
-      p0 = (0, -0.5, 0)
-      p1 = (0, 0.5, 0)
-      p2 = (2, 0, 0)
-      p3 = (1, 0, 1)
-      inner_point = (1, 0, 0.5)
-      t = Tetrahedron { cube = empty_cube,
-                        v0 = p0,
-                        v1 = p1,
-                        v2 = p2,
-                        v3 = p3 }
-
-
-test_doesnt_contain_point1 :: Test
-test_doesnt_contain_point1 =
-    TestCase $ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
-    where
-      p0 = (0, -0.5, 0)
-      p1 = (0, 0.5, 0)
-      p2 = (2, 0, 0)
-      p3 = (1, 0, 1)
-      exterior_point = (5, 2, -9.0212)
-      c_empty = empty_cube
-      t = Tetrahedron { cube = c_empty,
-                        v0 = p0,
-                        v1 = p1,
-                        v2 = p2,
-                        v3 = p3 }
-
-
-test_doesnt_contain_point2 :: Test
-test_doesnt_contain_point2 =
-    TestCase $ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
-    where
-      p0 = (0, 1, 1)
-      p1 = (1, 1, 1)
-      p2 = (0.5, 0.5, 1)
-      p3 = (0.5, 0.5, 0.5)
-      exterior_point = (0, 0, 0)
-      c_empty = empty_cube
-      t = Tetrahedron { cube = c_empty,
-                        v0 = p0,
-                        v1 = p1,
-                        v2 = p2,
-                        v3 = p3 }
-
-test_doesnt_contain_point3 :: Test
-test_doesnt_contain_point3 =
-    TestCase $ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
-    where
-      p0 = (1, 1, 1)
-      p1 = (1, 0, 1)
-      p2 = (0.5, 0.5, 1)
-      p3 = (0.5, 0.5, 0.5)
-      exterior_point = (0, 0, 0)
-      c_empty = empty_cube
-      t = Tetrahedron { cube = c_empty,
-                        v0 = p0,
-                        v1 = p1,
-                        v2 = p2,
-                        v3 = p3 }
-
-test_doesnt_contain_point4 :: Test
-test_doesnt_contain_point4 =
-    TestCase $ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
-    where
-      p0 = (1, 0, 1)
-      p1 = (0, 0, 1)
-      p2 = (0.5, 0.5, 1)
-      p3 = (0.5, 0.5, 0.5)
-      exterior_point = (0, 0, 0)
-      c_empty = empty_cube
-      t = Tetrahedron { cube = c_empty,
-                        v0 = p0,
-                        v1 = p1,
-                        v2 = p2,
-                        v3 = p3 }
-
-test_doesnt_contain_point5 :: Test
-test_doesnt_contain_point5 =
-    TestCase $ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
-    where
-      p0 = (0, 0, 1)
-      p1 = (0, 1, 1)
-      p2 = (0.5, 0.5, 1)
-      p3 = (0.5, 0.5, 0.5)
-      exterior_point = (0, 0, 0)
-      c_empty = empty_cube
-      t = Tetrahedron { cube = c_empty,
-                        v0 = p0,
-                        v1 = p1,
-                        v2 = p2,
-                        v3 = p3 }
-
-tetrahedron_tests :: [Test]
-tetrahedron_tests = [test_volume1,
-                     test_volume2,
-                     test_contains_point1,
-                     test_doesnt_contain_point1,
-                     test_doesnt_contain_point2,
-                     test_doesnt_contain_point3,
-                     test_doesnt_contain_point4,
-                     test_doesnt_contain_point5 ]
 
+-- | Check the volume of a particular tetrahedron (computed by hand)
+--   and whether or not it contains a specific point chosen to be
+--   outside of it. Its vertices are in clockwise order, so the volume
+--   should be negative.
+tetrahedron1_geometry_tests :: Test.Framework.Test
+tetrahedron1_geometry_tests =
+  testGroup "tetrahedron1 geometry"
+              [ testCase "volume1" volume1,
+                testCase "doesn't contain point1" doesnt_contain_point1]
+  where
+    p0 = (0, -0.5, 0)
+    p1 = (0, 0.5, 0)
+    p2 = (2, 0, 0)
+    p3 = (1, 0, 1)
+    t = Tetrahedron { v0 = p0,
+                      v1 = p1,
+                      v2 = p2,
+                      v3 = p3,
+                      fv = empty_values,
+                      precomputed_volume = 0 }
+
+    volume1 :: Assertion
+    volume1 =
+      assertEqual "volume is correct" True (vol ~= (-1/3))
+      where
+        vol = volume t
+
+    doesnt_contain_point1 :: Assertion
+    doesnt_contain_point1 =
+      assertEqual "doesn't contain an exterior point" False contained
+      where
+        exterior_point = (5, 2, -9.0212)
+        contained = contains_point t exterior_point
+
+
+-- | Check the volume of a particular tetrahedron (computed by hand)
+--   and whether or not it contains a specific point chosen to be
+--   inside of it. Its vertices are in counter-clockwise order, so the
+--   volume should be positive.
+tetrahedron2_geometry_tests :: Test.Framework.Test
+tetrahedron2_geometry_tests =
+  testGroup "tetrahedron2 geometry"
+              [ testCase "volume1" volume1,
+                testCase "contains point1" contains_point1]
+  where
+    p0 = (0, -0.5, 0)
+    p1 = (2, 0, 0)
+    p2 = (0, 0.5, 0)
+    p3 = (1, 0, 1)
+    t = Tetrahedron { v0 = p0,
+                      v1 = p1,
+                      v2 = p2,
+                      v3 = p3,
+                      fv = empty_values,
+                      precomputed_volume = 0 }
+
+    volume1 :: Assertion
+    volume1 = assertEqual "volume1 is correct" True (vol ~= (1/3))
+      where
+        vol = volume t
+
+    contains_point1 :: Assertion
+    contains_point1 = assertEqual "contains an inner point" True contained
+        where
+          inner_point = (1, 0, 0.5)
+          contained = contains_point t inner_point
+
+
+-- | Ensure that tetrahedra do not contain a particular point chosen to
+--   be outside of them.
+containment_tests :: Test.Framework.Test
+containment_tests =
+  testGroup "containment tests"
+              [ testCase "doesn't contain point2" doesnt_contain_point2,
+                testCase "doesn't contain point3" doesnt_contain_point3,
+                testCase "doesn't contain point4" doesnt_contain_point4,
+                testCase "doesn't contain point5" doesnt_contain_point5]
+  where
+    p2 = (0.5, 0.5, 1)
+    p3 = (0.5, 0.5, 0.5)
+    exterior_point = (0, 0, 0)
+
+    doesnt_contain_point2 :: Assertion
+    doesnt_contain_point2 =
+      assertEqual "doesn't contain an exterior point" False contained
+      where
+        p0 = (0, 1, 1)
+        p1 = (1, 1, 1)
+        t = Tetrahedron { v0 = p0,
+                          v1 = p1,
+                          v2 = p2,
+                          v3 = p3,
+                          fv = empty_values,
+                          precomputed_volume = 0 }
+        contained = contains_point t exterior_point
+
+
+    doesnt_contain_point3 :: Assertion
+    doesnt_contain_point3 =
+      assertEqual "doesn't contain an exterior point" False contained
+      where
+        p0 = (1, 1, 1)
+        p1 = (1, 0, 1)
+        t = Tetrahedron { v0 = p0,
+                          v1 = p1,
+                          v2 = p2,
+                          v3 = p3,
+                          fv = empty_values,
+                          precomputed_volume = 0 }
+        contained = contains_point t exterior_point
+
+
+    doesnt_contain_point4 :: Assertion
+    doesnt_contain_point4 =
+      assertEqual "doesn't contain an exterior point" False contained
+      where
+        p0 = (1, 0, 1)
+        p1 = (0, 0, 1)
+        t = Tetrahedron { v0 = p0,
+                          v1 = p1,
+                          v2 = p2,
+                          v3 = p3,
+                          fv = empty_values,
+                          precomputed_volume = 0 }
+        contained = contains_point t exterior_point
+
+
+    doesnt_contain_point5 :: Assertion
+    doesnt_contain_point5 =
+      assertEqual "doesn't contain an exterior point" False contained
+      where
+        p0 = (0, 0, 1)
+        p1 = (0, 1, 1)
+        t = Tetrahedron { v0 = p0,
+                          v1 = p1,
+                          v2 = p2,
+                          v3 = p3,
+                          fv = empty_values,
+                          precomputed_volume = 0 }
+        contained = contains_point t exterior_point
+
+
+-- | The barycentric coordinate of v0 with respect to itself should
+--   be one.
 prop_b0_v0_always_unity :: Tetrahedron -> Property
 prop_b0_v0_always_unity t =
     (volume t) > 0 ==> (b0 t) (v0 t) ~= 1.0
 
+-- | The barycentric coordinate of v1 with respect to v0 should
+--   be zero.
 prop_b0_v1_always_zero :: Tetrahedron -> Property
 prop_b0_v1_always_zero t =
     (volume t) > 0 ==> (b0 t) (v1 t) ~= 0
 
+-- | The barycentric coordinate of v2 with respect to v0 should
+--   be zero.
 prop_b0_v2_always_zero :: Tetrahedron -> Property
 prop_b0_v2_always_zero t =
     (volume t) > 0 ==> (b0 t) (v2 t) ~= 0
 
+-- | The barycentric coordinate of v3 with respect to v0 should
+--   be zero.
 prop_b0_v3_always_zero :: Tetrahedron -> Property
 prop_b0_v3_always_zero t =
     (volume t) > 0 ==> (b0 t) (v3 t) ~= 0
 
+-- | The barycentric coordinate of v1 with respect to itself should
+--   be one.
 prop_b1_v1_always_unity :: Tetrahedron -> Property
 prop_b1_v1_always_unity t =
     (volume t) > 0 ==> (b1 t) (v1 t) ~= 1.0
 
+-- | The barycentric coordinate of v0 with respect to v1 should
+--   be zero.
 prop_b1_v0_always_zero :: Tetrahedron -> Property
 prop_b1_v0_always_zero t =
     (volume t) > 0 ==> (b1 t) (v0 t) ~= 0
 
+-- | The barycentric coordinate of v2 with respect to v1 should
+--   be zero.
 prop_b1_v2_always_zero :: Tetrahedron -> Property
 prop_b1_v2_always_zero t =
     (volume t) > 0 ==> (b1 t) (v2 t) ~= 0
 
+-- | The barycentric coordinate of v3 with respect to v1 should
+--   be zero.
 prop_b1_v3_always_zero :: Tetrahedron -> Property
 prop_b1_v3_always_zero t =
     (volume t) > 0 ==> (b1 t) (v3 t) ~= 0
 
+-- | The barycentric coordinate of v2 with respect to itself should
+--   be one.
 prop_b2_v2_always_unity :: Tetrahedron -> Property
 prop_b2_v2_always_unity t =
     (volume t) > 0 ==> (b2 t) (v2 t) ~= 1.0
 
+-- | The barycentric coordinate of v0 with respect to v2 should
+--   be zero.
 prop_b2_v0_always_zero :: Tetrahedron -> Property
 prop_b2_v0_always_zero t =
     (volume t) > 0 ==> (b2 t) (v0 t) ~= 0
 
+-- | The barycentric coordinate of v1 with respect to v2 should
+--   be zero.
 prop_b2_v1_always_zero :: Tetrahedron -> Property
 prop_b2_v1_always_zero t =
     (volume t) > 0 ==> (b2 t) (v1 t) ~= 0
 
+-- | The barycentric coordinate of v3 with respect to v2 should
+--   be zero.
 prop_b2_v3_always_zero :: Tetrahedron -> Property
 prop_b2_v3_always_zero t =
     (volume t) > 0 ==> (b2 t) (v3 t) ~= 0
 
+-- | The barycentric coordinate of v3 with respect to itself should
+--   be one.
 prop_b3_v3_always_unity :: Tetrahedron -> Property
 prop_b3_v3_always_unity t =
     (volume t) > 0 ==> (b3 t) (v3 t) ~= 1.0
 
+-- | The barycentric coordinate of v0 with respect to v3 should
+--   be zero.
 prop_b3_v0_always_zero :: Tetrahedron -> Property
 prop_b3_v0_always_zero t =
     (volume t) > 0 ==> (b3 t) (v0 t) ~= 0
 
+-- | The barycentric coordinate of v1 with respect to v3 should
+--   be zero.
 prop_b3_v1_always_zero :: Tetrahedron -> Property
 prop_b3_v1_always_zero t =
     (volume t) > 0 ==> (b3 t) (v1 t) ~= 0
 
+-- | The barycentric coordinate of v2 with respect to v3 should
+--   be zero.
 prop_b3_v2_always_zero :: Tetrahedron -> Property
 prop_b3_v2_always_zero t =
     (volume t) > 0 ==> (b3 t) (v2 t) ~= 0
 
 
--- Used for convenience in the next few tests.
+-- | Used for convenience in the next few tests; not a test itself.
 p :: Tetrahedron -> Int -> Int -> Int -> Int -> Double
 p t i j k l = (polynomial t) (xi t i j k l)
 
@@ -266,3 +286,84 @@ prop_c1110_identity t =
           term2 = (9/2)*(p t 1 1 1 0)
           term3 = (3/4)*((p t 2 1 0 0) + (p t 1 2 0 0) + (p t 2 0 1 0))
           term4 = (3/4)*((p t 1 0 2 0) + (p t 0 2 1 0) + (p t 0 1 2 0))
+
+prop_x_rotation_doesnt_affect_front :: Tetrahedron -> Bool
+prop_x_rotation_doesnt_affect_front t =
+    expr1 == expr2
+    where
+      fv0 = Tetrahedron.fv t
+      fv1 = rotate cwx (Tetrahedron.fv t)
+      expr1 = front fv0
+      expr2 = front fv1
+
+prop_x_rotation_doesnt_affect_back :: Tetrahedron -> Bool
+prop_x_rotation_doesnt_affect_back t =
+    expr1 == expr2
+    where
+      fv0 = Tetrahedron.fv t
+      fv1 = rotate cwx (Tetrahedron.fv t)
+      expr1 = back fv0
+      expr2 = back fv1
+
+
+prop_y_rotation_doesnt_affect_left :: Tetrahedron -> Bool
+prop_y_rotation_doesnt_affect_left t =
+    expr1 == expr2
+    where
+      fv0 = Tetrahedron.fv t
+      fv1 = rotate cwy (Tetrahedron.fv t)
+      expr1 = left fv0
+      expr2 = left fv1
+
+prop_y_rotation_doesnt_affect_right :: Tetrahedron -> Bool
+prop_y_rotation_doesnt_affect_right t =
+    expr1 == expr2
+    where
+      fv0 = Tetrahedron.fv t
+      fv1 = rotate cwy (Tetrahedron.fv t)
+      expr1 = right fv0
+      expr2 = right fv1
+
+
+prop_z_rotation_doesnt_affect_down :: Tetrahedron -> Bool
+prop_z_rotation_doesnt_affect_down t =
+    expr1 == expr2
+    where
+      fv0 = Tetrahedron.fv t
+      fv1 = rotate cwz (Tetrahedron.fv t)
+      expr1 = down fv0
+      expr2 = down fv1
+
+
+prop_z_rotation_doesnt_affect_top :: Tetrahedron -> Bool
+prop_z_rotation_doesnt_affect_top t =
+    expr1 == expr2
+    where
+      fv0 = Tetrahedron.fv t
+      fv1 = rotate cwz (Tetrahedron.fv t)
+      expr1 = top fv0
+      expr2 = top fv1
+
+prop_swapping_vertices_doesnt_affect_coefficients1 :: Tetrahedron -> Bool
+prop_swapping_vertices_doesnt_affect_coefficients1 t =
+      c t 0 0 1 2 == c t' 0 0 1 2
+        where
+          t' = t { v0 = (v1 t), v1 = (v0 t) }
+
+prop_swapping_vertices_doesnt_affect_coefficients2 :: Tetrahedron -> Bool
+prop_swapping_vertices_doesnt_affect_coefficients2 t =
+      c t 0 1 1 1 == c t' 0 1 1 1
+        where
+          t' = t { v2 = (v3 t), v3 = (v2 t) }
+
+prop_swapping_vertices_doesnt_affect_coefficients3 :: Tetrahedron -> Bool
+prop_swapping_vertices_doesnt_affect_coefficients3 t =
+      c t 2 1 0 0 == c t' 2 1 0 0
+        where
+          t' = t { v2 = (v3 t), v3 = (v2 t) }
+
+prop_swapping_vertices_doesnt_affect_coefficients4 :: Tetrahedron -> Bool
+prop_swapping_vertices_doesnt_affect_coefficients4 t =
+      c t 2 0 0 1 == c t' 2 0 0 1
+        where
+          t' = t { v0 = (v3 t), v3 = (v0 t) }