import Cardinal
import Comparisons
import FunctionValues
-import Tests.FunctionValues()
import Tetrahedron
import ThreeDimensional
v1 = p1,
v2 = p2,
v3 = p3,
- fv = empty_values }
+ fv = empty_values,
+ precomputed_volume = 0 }
volume1 :: Assertion
volume1 =
v1 = p1,
v2 = p2,
v3 = p3,
- fv = empty_values }
+ fv = empty_values,
+ precomputed_volume = 0 }
volume1 :: Assertion
volume1 = assertEqual "volume1 is correct" True (vol ~= (1/3))
contained = contains_point t inner_point
--- | Ensure that a tetrahedron does not contain a particular point chosen to
--- be outside of it (second test).
-test_doesnt_contain_point2 :: Assertion
-test_doesnt_contain_point2 =
- assertEqual "doesn't contain an exterior point" False contained
- 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)
- t = Tetrahedron { v0 = p0,
- v1 = p1,
- v2 = p2,
- v3 = p3,
- fv = empty_values }
- contained = contains_point t exterior_point
-
-
--- | Ensure that a tetrahedron does not contain a particular point chosen to
--- be outside of it (third test).
-test_doesnt_contain_point3 :: Assertion
-test_doesnt_contain_point3 =
- assertEqual "doesn't contain an exterior point" False contained
- 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)
- t = Tetrahedron { v0 = p0,
- v1 = p1,
- v2 = p2,
- v3 = p3,
- fv = empty_values }
- contained = contains_point t exterior_point
-
-
--- | Ensure that a tetrahedron does not contain a particular point chosen to
--- be outside of it (fourth test).
-test_doesnt_contain_point4 :: Assertion
-test_doesnt_contain_point4 =
- assertEqual "doesn't contain an exterior point" False contained
- 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)
- t = Tetrahedron { v0 = p0,
- v1 = p1,
- v2 = p2,
- v3 = p3,
- fv = empty_values }
- contained = contains_point t exterior_point
-
-
--- | Ensure that a tetrahedron does not contain a particular point chosen to
--- be outside of it (fifth test).
-test_doesnt_contain_point5 :: Assertion
-test_doesnt_contain_point5 =
- assertEqual "doesn't contain an exterior point" False contained
- 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)
- t = Tetrahedron { v0 = p0,
- v1 = p1,
- v2 = p2,
- v3 = p3,
- fv = empty_values }
- contained = contains_point t exterior_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
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 =
projects / spline3.git / blobdiff