X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FFace.hs;h=5e5b4c2b98f2b5c4bc9d2f5003975766ee1f1ac5;hb=2064e9a7da32813c6dce843127e2306b841df353;hp=0949936da4817df4999d730b6e4dfb2903e273a8;hpb=fc12cb4f59a423af3520aa19f8d23ce9b963e3f1;p=spline3.git diff --git a/src/Tests/Face.hs b/src/Tests/Face.hs index 0949936..5e5b4c2 100644 --- a/src/Tests/Face.hs +++ b/src/Tests/Face.hs @@ -1,388 +1,6 @@ module Tests.Face where -import Control.Monad (unless) -import Test.HUnit -import Test.QuickCheck - -import Comparisons -import Face -import Grid (Grid(h), make_grid) -import Point -import Tetrahedron - - --- HUnit tests. - --- | An HUnit assertion that wraps the almost_equals function. Stolen --- from the definition of assertEqual in Test/HUnit/Base.hs. -assertAlmostEqual :: String -> Double -> Double -> Assertion -assertAlmostEqual preface expected actual = - unless (actual ~= expected) (assertFailure msg) - where msg = (if null preface then "" else preface ++ "\n") ++ - "expected: " ++ show expected ++ "\n but got: " ++ show actual - - --- | An HUnit assertion that wraps the is_close function. Stolen --- from the definition of assertEqual in Test/HUnit/Base.hs. -assertClose :: String -> Point -> Point -> Assertion -assertClose preface expected actual = - unless (actual `is_close` expected) (assertFailure msg) - where msg = (if null preface then "" else preface ++ "\n") ++ - "expected: " ++ show expected ++ "\n but got: " ++ show actual - - --- | Values of the function f(x,y,z) = 1 + x + xy + xyz taken at nine --- points (hi, hj, jk) with h = 1. From example one in the paper. --- Used in the next bunch of tests. -trilinear :: [[[Double]]] -trilinear = [ [ [ 1, 2, 3 ], - [ 1, 3, 5 ], - [ 1, 4, 7 ] ], - [ [ 1, 2, 3 ], - [ 1, 4, 7 ], - [ 1, 6, 11 ] ], - [ [ 1, 2, 3 ], - [ 1, 5, 9 ], - [ 1, 8, 15 ]]] - --- | Check the value of c0030 for any tetrahedron 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 :: Test --- test_trilinear_c0030 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c0003 for any tetrahedron 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 :: Test --- test_trilinear_c0003 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c0021 for any tetrahedron 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 :: Test --- test_trilinear_c0021 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c0012 for any tetrahedron 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 :: Test --- test_trilinear_c0012 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c0120 for any tetrahedron 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 :: Test --- test_trilinear_c0120 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c0102 for any tetrahedron 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 :: Test --- test_trilinear_c0102 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c0111 for any tetrahedron 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 :: Test --- test_trilinear_c0111 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c0210 for any tetrahedron 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 :: Test --- test_trilinear_c0210 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c0201 for any tetrahedron 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 :: Test --- test_trilinear_c0201 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c0300 for any tetrahedron 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 :: Test --- test_trilinear_c0300 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c1020 for any tetrahedron 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 :: Test --- test_trilinear_c1020 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c1002 for any tetrahedron 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 :: Test --- test_trilinear_c1002 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c1011 for any tetrahedron 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 :: Test --- test_trilinear_c1011 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c1110 for any tetrahedron 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 :: Test --- test_trilinear_c1110 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c1101 for any tetrahedron 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 :: Test --- test_trilinear_c1101 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c1200 for any tetrahedron 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 :: Test --- test_trilinear_c1200 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c2010 for any tetrahedron 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 :: Test --- test_trilinear_c2010 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c2001 for any tetrahedron 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 :: Test --- test_trilinear_c2001 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c2100 for any tetrahedron 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 :: Test --- test_trilinear_c2100 = --- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - --- -- | Check the value of c3000 for any tetrahedron 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 :: Test --- -- test_trilinear_c3000 = --- -- TestCase $ 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 = head (tetrahedrons cube) -- Any one will do. - - - --- -- test_trilinear_f0_t0_v0 :: Test --- -- test_trilinear_f0_t0_v0 = --- -- TestCase $ assertClose "v0 is correct" (v0 t) (0.5, 1.5, 1.5) --- -- where --- -- g = make_grid 1 trilinear --- -- cube = cube_at g 1 1 1 --- -- t = tetrahedron0 (face0 cube) -- Any one will do. - - --- -- test_trilinear_f0_t0_v1 :: Test --- -- test_trilinear_f0_t0_v1 = --- -- TestCase $ assertClose "v1 is correct" (v1 t) (1.5, 1.5, 1.5) --- -- where --- -- g = make_grid 1 trilinear --- -- cube = cube_at g 1 1 1 --- -- t = tetrahedron0 (face0 cube) -- Any one will do. - - --- -- test_trilinear_f0_t0_v2 :: Test --- -- test_trilinear_f0_t0_v2 = --- -- TestCase $ assertClose "v2 is correct" (v2 t) (1, 1, 1.5) --- -- where --- -- g = make_grid 1 trilinear --- -- cube = cube_at g 1 1 1 --- -- t = tetrahedron0 (face0 cube) -- Any one will do. - - - --- -- test_trilinear_f0_t0_v3 :: Test --- -- test_trilinear_f0_t0_v3 = --- -- TestCase $ assertClose "v3 is correct" (v3 t) (1, 1, 1) --- -- where --- -- g = make_grid 1 trilinear --- -- cube = cube_at g 1 1 1 --- -- t = tetrahedron0 (face0 cube) -- Any one will do. - - - --- face_tests :: [Test] -face_tests = [] --- face_tests = [test_trilinear_c0030, --- test_trilinear_c0003, --- test_trilinear_c0021, --- test_trilinear_c0012, --- test_trilinear_c0120, --- test_trilinear_c0102, --- test_trilinear_c0111, --- test_trilinear_c0210, --- test_trilinear_c0201, --- test_trilinear_c0300, --- test_trilinear_c1020, --- test_trilinear_c1002, --- test_trilinear_c1011, --- test_trilinear_c1110, --- test_trilinear_c1101, --- test_trilinear_c1200, --- test_trilinear_c2010, --- test_trilinear_c2001, --- test_trilinear_c2100, --- test_trilinear_c3000, --- test_trilinear_f0_t0_v0, --- test_trilinear_f0_t0_v1, --- test_trilinear_f0_t0_v2, --- test_trilinear_f0_t0_v3] - - --- -- QuickCheck Tests. - - --- -- | Given in Sorokina and Zeilfelder, p. 78. --- prop_cijk1_identity :: Cube -> Bool --- prop_cijk1_identity cube = --- and [ c t0' i j k 1 ~= (c t1' (i+1) j k 0) * ((b0 t0') (v3 t1')) + --- (c t1' i (j+1) k 0) * ((b1 t0') (v3 t1')) + --- (c t1' i j (k+1) 0) * ((b2 t0') (v3 t1')) + --- (c t1' i j k 1) * ((b3 t0') (v3 t1')) | i <- [0..2], --- j <- [0..2], --- k <- [0..2], --- i + j + k == 2] --- where --- t0 = tetrahedron0 (face0 cube) --- t1 = tetrahedron1 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1) - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- prop_c0120_identity1 :: Cube -> Bool --- prop_c0120_identity1 cube = --- c t0' 0 1 2 0 ~= (c t0' 0 0 2 1 + c t1' 0 0 2 1) / 2 --- where --- t0 = tetrahedron0 (face0 cube) --- t1 = tetrahedron1 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t1' = Tetrahedron cube (v3 t1) (v2 t1) (v0 t1) (v1 t1) - - -- -- | Given in Sorokina and Zeilfelder, p. 79. -- prop_c0210_identity1 :: Cube -> Bool -- prop_c0210_identity1 cube =