X-Git-Url: https://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FCube.hs;h=11159b5bc6f668a6e14f0976646c5e50398d1236;hb=f07f76b231a3df623aab8b6035ac6000ce2a5eb2;hp=888c48f4840d54ec62f95f0f3e4aa0fe17519e7c;hpb=ddc513c5d9051c57796a49df8be6294a0d0da0da;p=spline3.git diff --git a/src/Tests/Cube.hs b/src/Tests/Cube.hs index 888c48f..11159b5 100644 --- a/src/Tests/Cube.hs +++ b/src/Tests/Cube.hs @@ -8,7 +8,6 @@ import Cube import FunctionValues (FunctionValues) import Tests.FunctionValues () import Tetrahedron (b0, b1, b2, b3, c, - Tetrahedron(Tetrahedron), v0, v1, v2, v3, volume) instance Arbitrary Cube where @@ -30,10 +29,10 @@ instance Arbitrary Cube where -- (which comprise cubes of positive volume) must have positive volume -- as well. prop_all_volumes_positive :: Cube -> Bool -prop_all_volumes_positive c = +prop_all_volumes_positive cube = null nonpositive_volumes where - ts = tetrahedrons c + ts = tetrahedrons cube volumes = map volume ts nonpositive_volumes = filter (<= 0) volumes @@ -41,225 +40,225 @@ prop_all_volumes_positive c = -- already know their volumes. There's 24 tetrahedra to a cube, so -- we'd expect the volume of each one to be (1/24)*h^3. prop_tetrahedron0_volumes_exact :: Cube -> Bool -prop_tetrahedron0_volumes_exact c = - volume (tetrahedron0 c) ~= (1/24)*(delta^(3::Int)) +prop_tetrahedron0_volumes_exact cube = + volume (tetrahedron0 cube) ~= (1/24)*(delta^(3::Int)) where - delta = h c + delta = h cube -- | In fact, since all of the tetrahedra are identical, we should -- already know their volumes. There's 24 tetrahedra to a cube, so -- we'd expect the volume of each one to be (1/24)*h^3. prop_tetrahedron1_volumes_exact :: Cube -> Bool -prop_tetrahedron1_volumes_exact c = - volume (tetrahedron1 c) ~= (1/24)*(delta^(3::Int)) +prop_tetrahedron1_volumes_exact cube = + volume (tetrahedron1 cube) ~= (1/24)*(delta^(3::Int)) where - delta = h c + delta = h cube -- | In fact, since all of the tetrahedra are identical, we should -- already know their volumes. There's 24 tetrahedra to a cube, so -- we'd expect the volume of each one to be (1/24)*h^3. prop_tetrahedron2_volumes_exact :: Cube -> Bool -prop_tetrahedron2_volumes_exact c = - volume (tetrahedron2 c) ~= (1/24)*(delta^(3::Int)) +prop_tetrahedron2_volumes_exact cube = + volume (tetrahedron2 cube) ~= (1/24)*(delta^(3::Int)) where - delta = h c + delta = h cube -- | In fact, since all of the tetrahedra are identical, we should -- already know their volumes. There's 24 tetrahedra to a cube, so -- we'd expect the volume of each one to be (1/24)*h^3. prop_tetrahedron3_volumes_exact :: Cube -> Bool -prop_tetrahedron3_volumes_exact c = - volume (tetrahedron3 c) ~= (1/24)*(delta^(3::Int)) +prop_tetrahedron3_volumes_exact cube = + volume (tetrahedron3 cube) ~= (1/24)*(delta^(3::Int)) where - delta = h c + delta = h cube -- | In fact, since all of the tetrahedra are identical, we should -- already know their volumes. There's 24 tetrahedra to a cube, so -- we'd expect the volume of each one to be (1/24)*h^3. prop_tetrahedron4_volumes_exact :: Cube -> Bool -prop_tetrahedron4_volumes_exact c = - volume (tetrahedron4 c) ~= (1/24)*(delta^(3::Int)) +prop_tetrahedron4_volumes_exact cube = + volume (tetrahedron4 cube) ~= (1/24)*(delta^(3::Int)) where - delta = h c + delta = h cube -- | In fact, since all of the tetrahedra are identical, we should -- already know their volumes. There's 24 tetrahedra to a cube, so -- we'd expect the volume of each one to be (1/24)*h^3. prop_tetrahedron5_volumes_exact :: Cube -> Bool -prop_tetrahedron5_volumes_exact c = - volume (tetrahedron5 c) ~= (1/24)*(delta^(3::Int)) +prop_tetrahedron5_volumes_exact cube = + volume (tetrahedron5 cube) ~= (1/24)*(delta^(3::Int)) where - delta = h c + delta = h cube -- | In fact, since all of the tetrahedra are identical, we should -- already know their volumes. There's 24 tetrahedra to a cube, so -- we'd expect the volume of each one to be (1/24)*h^3. prop_tetrahedron6_volumes_exact :: Cube -> Bool -prop_tetrahedron6_volumes_exact c = - volume (tetrahedron6 c) ~= (1/24)*(delta^(3::Int)) +prop_tetrahedron6_volumes_exact cube = + volume (tetrahedron6 cube) ~= (1/24)*(delta^(3::Int)) where - delta = h c + delta = h cube -- | In fact, since all of the tetrahedra are identical, we should -- already know their volumes. There's 24 tetrahedra to a cube, so -- we'd expect the volume of each one to be (1/24)*h^3. prop_tetrahedron7_volumes_exact :: Cube -> Bool -prop_tetrahedron7_volumes_exact c = - volume (tetrahedron7 c) ~= (1/24)*(delta^(3::Int)) +prop_tetrahedron7_volumes_exact cube = + volume (tetrahedron7 cube) ~= (1/24)*(delta^(3::Int)) where - delta = h c + delta = h cube -- | All tetrahedron should have their v0 located at the center of the cube. prop_v0_all_equal :: Cube -> Bool -prop_v0_all_equal c = (v0 t0) == (v0 t1) +prop_v0_all_equal cube = (v0 t0) == (v0 t1) where - t0 = head (tetrahedrons c) -- Doesn't matter which two we choose. - t1 = head $ tail (tetrahedrons c) + t0 = head (tetrahedrons cube) -- Doesn't matter which two we choose. + t1 = head $ tail (tetrahedrons cube) -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron0_volumes_positive :: Cube -> Bool -prop_tetrahedron0_volumes_positive c = - volume (tetrahedron0 c) > 0 +prop_tetrahedron0_volumes_positive cube = + volume (tetrahedron0 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron1_volumes_positive :: Cube -> Bool -prop_tetrahedron1_volumes_positive c = - volume (tetrahedron1 c) > 0 +prop_tetrahedron1_volumes_positive cube = + volume (tetrahedron1 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron2_volumes_positive :: Cube -> Bool -prop_tetrahedron2_volumes_positive c = - volume (tetrahedron2 c) > 0 +prop_tetrahedron2_volumes_positive cube = + volume (tetrahedron2 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron3_volumes_positive :: Cube -> Bool -prop_tetrahedron3_volumes_positive c = - volume (tetrahedron3 c) > 0 +prop_tetrahedron3_volumes_positive cube = + volume (tetrahedron3 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron4_volumes_positive :: Cube -> Bool -prop_tetrahedron4_volumes_positive c = - volume (tetrahedron4 c) > 0 +prop_tetrahedron4_volumes_positive cube = + volume (tetrahedron4 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron5_volumes_positive :: Cube -> Bool -prop_tetrahedron5_volumes_positive c = - volume (tetrahedron5 c) > 0 +prop_tetrahedron5_volumes_positive cube = + volume (tetrahedron5 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron6_volumes_positive :: Cube -> Bool -prop_tetrahedron6_volumes_positive c = - volume (tetrahedron6 c) > 0 +prop_tetrahedron6_volumes_positive cube = + volume (tetrahedron6 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron7_volumes_positive :: Cube -> Bool -prop_tetrahedron7_volumes_positive c = - volume (tetrahedron7 c) > 0 +prop_tetrahedron7_volumes_positive cube = + volume (tetrahedron7 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron8_volumes_positive :: Cube -> Bool -prop_tetrahedron8_volumes_positive c = - volume (tetrahedron8 c) > 0 +prop_tetrahedron8_volumes_positive cube = + volume (tetrahedron8 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron9_volumes_positive :: Cube -> Bool -prop_tetrahedron9_volumes_positive c = - volume (tetrahedron9 c) > 0 +prop_tetrahedron9_volumes_positive cube = + volume (tetrahedron9 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron10_volumes_positive :: Cube -> Bool -prop_tetrahedron10_volumes_positive c = - volume (tetrahedron10 c) > 0 +prop_tetrahedron10_volumes_positive cube = + volume (tetrahedron10 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron11_volumes_positive :: Cube -> Bool -prop_tetrahedron11_volumes_positive c = - volume (tetrahedron11 c) > 0 +prop_tetrahedron11_volumes_positive cube = + volume (tetrahedron11 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron12_volumes_positive :: Cube -> Bool -prop_tetrahedron12_volumes_positive c = - volume (tetrahedron12 c) > 0 +prop_tetrahedron12_volumes_positive cube = + volume (tetrahedron12 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron13_volumes_positive :: Cube -> Bool -prop_tetrahedron13_volumes_positive c = - volume (tetrahedron13 c) > 0 +prop_tetrahedron13_volumes_positive cube = + volume (tetrahedron13 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron14_volumes_positive :: Cube -> Bool -prop_tetrahedron14_volumes_positive c = - volume (tetrahedron14 c) > 0 +prop_tetrahedron14_volumes_positive cube = + volume (tetrahedron14 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron15_volumes_positive :: Cube -> Bool -prop_tetrahedron15_volumes_positive c = - volume (tetrahedron15 c) > 0 +prop_tetrahedron15_volumes_positive cube = + volume (tetrahedron15 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron16_volumes_positive :: Cube -> Bool -prop_tetrahedron16_volumes_positive c = - volume (tetrahedron16 c) > 0 +prop_tetrahedron16_volumes_positive cube = + volume (tetrahedron16 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron17_volumes_positive :: Cube -> Bool -prop_tetrahedron17_volumes_positive c = - volume (tetrahedron17 c) > 0 +prop_tetrahedron17_volumes_positive cube = + volume (tetrahedron17 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron18_volumes_positive :: Cube -> Bool -prop_tetrahedron18_volumes_positive c = - volume (tetrahedron18 c) > 0 +prop_tetrahedron18_volumes_positive cube = + volume (tetrahedron18 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron19_volumes_positive :: Cube -> Bool -prop_tetrahedron19_volumes_positive c = - volume (tetrahedron19 c) > 0 +prop_tetrahedron19_volumes_positive cube = + volume (tetrahedron19 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron20_volumes_positive :: Cube -> Bool -prop_tetrahedron20_volumes_positive c = - volume (tetrahedron20 c) > 0 +prop_tetrahedron20_volumes_positive cube = + volume (tetrahedron20 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron21_volumes_positive :: Cube -> Bool -prop_tetrahedron21_volumes_positive c = - volume (tetrahedron21 c) > 0 +prop_tetrahedron21_volumes_positive cube = + volume (tetrahedron21 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron22_volumes_positive :: Cube -> Bool -prop_tetrahedron22_volumes_positive c = - volume (tetrahedron22 c) > 0 +prop_tetrahedron22_volumes_positive cube = + volume (tetrahedron22 cube) > 0 -- | This pretty much repeats the prop_all_volumes_positive property, -- but will let me know which tetrahedrons's vertices are disoriented. prop_tetrahedron23_volumes_positive :: Cube -> Bool -prop_tetrahedron23_volumes_positive c = - volume (tetrahedron23 c) > 0 +prop_tetrahedron23_volumes_positive cube = + volume (tetrahedron23 cube) > 0 -- | Given in Sorokina and Zeilfelder, p. 79. Note that the third and