where
import Test.HUnit
-import Test.QuickCheck
+import Test.QuickCheck (Property, (==>))
import Cardinal
import Comparisons
-import Point
import FunctionValues
import Tests.FunctionValues()
import Tetrahedron
import ThreeDimensional
-instance Arbitrary Tetrahedron where
- arbitrary = do
- rnd_v0 <- arbitrary :: Gen Point
- rnd_v1 <- arbitrary :: Gen Point
- rnd_v2 <- arbitrary :: Gen Point
- rnd_v3 <- arbitrary :: Gen Point
- rnd_fv <- arbitrary :: Gen FunctionValues
- return (Tetrahedron rnd_fv rnd_v0 rnd_v1 rnd_v2 rnd_v3)
-
-- HUnit Tests
-- | Check the volume of a particular tetrahedron against the value
-- computed by hand. Its vertices are in clockwise order, so the
-- volume should be negative.
-test_volume1 :: Test
+test_volume1 :: Assertion
test_volume1 =
- TestCase $ assertEqual "volume is correct" True (vol ~= (-1/3))
+ assertEqual "volume is correct" True (vol ~= (-1/3))
where
p0 = (0, -0.5, 0)
p1 = (0, 0.5, 0)
-- | Check the volume of a particular tetrahedron against the value
-- computed by hand. Its vertices are in counter-clockwise order, so
-- the volume should be positive.
-test_volume2 :: Test
+test_volume2 :: Assertion
test_volume2 =
- TestCase $ assertEqual "volume is correct" True (vol ~= (1/3))
+ assertEqual "volume is correct" True (vol ~= (1/3))
where
p0 = (0, -0.5, 0)
p1 = (2, 0, 0)
-- | Ensure that a tetrahedron contains a particular point chosen to
-- be inside of it.
-test_contains_point1 :: Test
+test_contains_point1 :: Assertion
test_contains_point1 =
- TestCase $ assertEqual "contains an inner point" True (contains_point t inner_point)
+ assertEqual "contains an inner point" True (contains_point t inner_point)
where
p0 = (0, -0.5, 0)
p1 = (0, 0.5, 0)
-- | Ensure that a tetrahedron does not contain a particular point chosen to
-- be outside of it (first test).
-test_doesnt_contain_point1 :: Test
+test_doesnt_contain_point1 :: Assertion
test_doesnt_contain_point1 =
- TestCase $ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
+ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
where
p0 = (0, -0.5, 0)
p1 = (0, 0.5, 0)
-- | Ensure that a tetrahedron does not contain a particular point chosen to
-- be outside of it (second test).
-test_doesnt_contain_point2 :: Test
+test_doesnt_contain_point2 :: Assertion
test_doesnt_contain_point2 =
- TestCase $ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
+ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
where
p0 = (0, 1, 1)
p1 = (1, 1, 1)
-- | Ensure that a tetrahedron does not contain a particular point chosen to
-- be outside of it (third test).
-test_doesnt_contain_point3 :: Test
+test_doesnt_contain_point3 :: Assertion
test_doesnt_contain_point3 =
- TestCase $ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
+ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
where
p0 = (1, 1, 1)
p1 = (1, 0, 1)
-- | Ensure that a tetrahedron does not contain a particular point chosen to
-- be outside of it (fourth test).
-test_doesnt_contain_point4 :: Test
+test_doesnt_contain_point4 :: Assertion
test_doesnt_contain_point4 =
- TestCase $ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
+ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
where
p0 = (1, 0, 1)
p1 = (0, 0, 1)
-- | Ensure that a tetrahedron does not contain a particular point chosen to
-- be outside of it (fifth test).
-test_doesnt_contain_point5 :: Test
+test_doesnt_contain_point5 :: Assertion
test_doesnt_contain_point5 =
- TestCase $ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
+ assertEqual "doesn't contain an exterior point" False (contains_point t exterior_point)
where
p0 = (0, 0, 1)
p1 = (0, 1, 1)
v3 = p3,
fv = empty_values }
--- | A list of all HUnit tests defined in this module.
-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 ]
-
-- | The barycentric coordinate of v0 with respect to itself should
-- be one.
expr1 == expr2
where
fv0 = Tetrahedron.fv t
- fv1 = rotate (Tetrahedron.fv t) cwx
- expr1 = front $ fv0
- expr2 = front $ fv1
+ 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 (Tetrahedron.fv t) cwx
- expr1 = back $ fv0
- expr2 = back $ fv1
+ fv1 = rotate cwx (Tetrahedron.fv t)
+ expr1 = back fv0
+ expr2 = back fv1
prop_y_rotation_doesnt_affect_left :: Tetrahedron -> Bool
expr1 == expr2
where
fv0 = Tetrahedron.fv t
- fv1 = rotate (Tetrahedron.fv t) cwy
- expr1 = left $ fv0
- expr2 = left $ fv1
+ 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 (Tetrahedron.fv t) cwy
- expr1 = right $ fv0
- expr2 = right $ fv1
+ fv1 = rotate cwy (Tetrahedron.fv t)
+ expr1 = right fv0
+ expr2 = right fv1
prop_z_rotation_doesnt_affect_down :: Tetrahedron -> Bool
expr1 == expr2
where
fv0 = Tetrahedron.fv t
- fv1 = rotate (Tetrahedron.fv t) cwz
- expr1 = down $ fv0
- expr2 = down $ fv1
+ fv1 = rotate cwz (Tetrahedron.fv t)
+ expr1 = down fv0
+ expr2 = down fv1
prop_z_rotation_doesnt_affect_top :: Tetrahedron -> Bool
expr1 == expr2
where
fv0 = Tetrahedron.fv t
- fv1 = rotate (Tetrahedron.fv t) cwz
- expr1 = top $ fv0
- expr2 = top $ fv1
+ 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) }
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