X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FFace.hs;h=0c8c906fc5e2ceb235571f9c254c4e3c3c3af6f0;hb=131df3514c868c055c22c090e17674b07d25d8ca;hp=027b6b9d7562bd8439b43223ba2520f7b4265403;hpb=62e6ea5912a0ef9b21d034590700d6b450f942fb;p=spline3.git diff --git a/src/Tests/Face.hs b/src/Tests/Face.hs index 027b6b9..0c8c906 100644 --- a/src/Tests/Face.hs +++ b/src/Tests/Face.hs @@ -1,304 +1,14 @@ module Tests.Face where -import Control.Monad (unless) -import Test.HUnit -import Test.QuickCheck -import Assertions -import Comparisons -import Face -import Grid (Grid(h), make_grid) -import Point -import Tetrahedron --- HUnit tests. --- -- 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 = --- c t0' 0 2 1 0 ~= (c t0' 0 1 1 1 + c t1' 0 1 1 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_c0300_identity1 :: Cube -> Bool --- prop_c0300_identity1 cube = --- c t0' 0 3 0 0 ~= (c t0' 0 2 0 1 + c t1' 0 2 0 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_c1110_identity :: Cube -> Bool --- prop_c1110_identity cube = --- c t0' 1 1 1 0 ~= (c t0' 1 0 1 1 + c t1' 1 0 1 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_c1200_identity1 :: Cube -> Bool --- prop_c1200_identity1 cube = --- c t0' 1 2 0 0 ~= (c t0' 1 1 0 1 + c t1' 1 1 0 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_c2100_identity1 :: Cube -> Bool --- prop_c2100_identity1 cube = --- c t0' 2 1 0 0 ~= (c t0' 2 0 0 1 + c t1' 2 0 0 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_c0102_identity1 :: Cube -> Bool --- prop_c0102_identity1 cube = --- c t0' 0 1 0 2 ~= (c t0' 0 0 1 2 + c t3' 0 0 1 2) / 2 --- where --- t0 = tetrahedron0 (face0 cube) --- t3 = tetrahedron3 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t3' = Tetrahedron cube (v3 t3) (v2 t3) (v1 t3) (v0 t3) - - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- prop_c0201_identity1 :: Cube -> Bool --- prop_c0201_identity1 cube = --- c t0' 0 2 0 1 ~= (c t0' 0 1 1 1 + c t3' 0 1 1 1) / 2 --- where --- t0 = tetrahedron0 (face0 cube) --- t3 = tetrahedron3 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t3' = Tetrahedron cube (v3 t3) (v2 t3) (v1 t3) (v0 t3) - - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- prop_c0300_identity2 :: Cube -> Bool --- prop_c0300_identity2 cube = --- c t0' 3 0 0 0 ~= (c t0' 0 2 1 0 + c t3' 0 2 1 0) / 2 --- where --- t0 = tetrahedron0 (face0 cube) --- t3 = tetrahedron3 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t3' = Tetrahedron cube (v3 t3) (v2 t3) (v1 t3) (v0 t3) - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- prop_c1101_identity :: Cube -> Bool --- prop_c1101_identity cube = --- c t0' 1 1 0 1 ~= (c t0' 1 1 0 1 + c t3' 1 1 0 1) / 2 --- where --- t0 = tetrahedron0 (face0 cube) --- t3 = tetrahedron3 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t3' = Tetrahedron cube (v3 t3) (v2 t3) (v1 t3) (v0 t3) - - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- prop_c1200_identity2 :: Cube -> Bool --- prop_c1200_identity2 cube = --- c t0' 1 1 1 0 ~= (c t0' 1 1 1 0 + c t3' 1 1 1 0) / 2 --- where --- t0 = tetrahedron0 (face0 cube) --- t3 = tetrahedron3 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t3' = Tetrahedron cube (v3 t3) (v2 t3) (v1 t3) (v0 t3) - - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- prop_c2100_identity2 :: Cube -> Bool --- prop_c2100_identity2 cube = --- c t0' 2 1 0 0 ~= (c t0' 2 0 1 0 + c t3' 2 0 1 0) / 2 --- where --- t0 = tetrahedron0 (face0 cube) --- t3 = tetrahedron3 (face0 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t3' = Tetrahedron cube (v3 t3) (v2 t3) (v1 t3) (v0 t3) - - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- prop_c3000_identity :: Cube -> Bool --- prop_c3000_identity cube = --- c t0' 3 0 0 0 ~= c t0' 2 1 0 0 + c t2' 2 1 0 0 - ((c t0' 2 0 1 0 + c t0' 2 0 0 1)/ 2) --- where --- t0 = tetrahedron0 (face0 cube) --- t2 = tetrahedron2 (face5 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t2' = Tetrahedron cube (v3 t2) (v2 t2) (v1 t2) (v0 t2) - - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- prop_c2010_identity :: Cube -> Bool --- prop_c2010_identity cube = --- c t0' 2 0 1 0 ~= c t0' 1 1 1 0 + c t2' 1 1 1 0 - ((c t0' 1 0 2 0 + c t0' 1 0 1 1)/ 2) --- where --- t0 = tetrahedron0 (face0 cube) --- t2 = tetrahedron2 (face5 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t2' = Tetrahedron cube (v3 t2) (v2 t2) (v1 t2) (v0 t2) - - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- prop_c2001_identity :: Cube -> Bool --- prop_c2001_identity cube = --- c t0' 2 0 0 1 ~= c t0' 1 1 0 1 + c t2' 1 1 0 1 - ((c t0' 1 0 0 2 + c t0' 1 0 1 1)/ 2) --- where --- t0 = tetrahedron0 (face0 cube) --- t2 = tetrahedron2 (face5 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t2' = Tetrahedron cube (v3 t2) (v2 t2) (v1 t2) (v0 t2) - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- prop_c1020_identity :: Cube -> Bool --- prop_c1020_identity cube = --- c t0' 1 0 2 0 ~= c t0' 0 1 2 0 + c t2' 0 1 2 0 - ((c t0' 0 0 3 0 + c t0' 0 0 2 1)/ 2) --- where --- t0 = tetrahedron0 (face0 cube) --- t2 = tetrahedron2 (face5 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t2' = Tetrahedron cube (v3 t2) (v2 t2) (v1 t2) (v0 t2) - - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- prop_c1002_identity :: Cube -> Bool --- prop_c1002_identity cube = --- c t0' 1 0 0 2 ~= c t0' 0 1 0 2 + c t2' 0 1 0 2 - ((c t0' 0 0 0 3 + c t0' 0 0 1 2)/ 2) --- where --- t0 = tetrahedron0 (face0 cube) --- t2 = tetrahedron2 (face5 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t2' = Tetrahedron cube (v3 t2) (v2 t2) (v1 t2) (v0 t2) - - --- -- | Given in Sorokina and Zeilfelder, p. 79. --- prop_c1011_identity :: Cube -> Bool --- prop_c1011_identity cube = --- c t0' 1 0 1 1 ~= c t0' 0 1 1 1 + c t2' 0 1 1 1 - ((c t0' 0 0 1 2 + c t0' 0 0 2 1)/ 2) --- where --- t0 = tetrahedron0 (face0 cube) --- t2 = tetrahedron2 (face5 cube) --- t0' = Tetrahedron cube (v3 t0) (v2 t0) (v1 t0) (v0 t0) --- t2' = Tetrahedron cube (v3 t2) (v2 t2) (v1 t2) (v0 t2) - - -- -- | Given in Sorokina and Zeilfelder, p. 80. -- prop_c0120_identity2 :: Cube -> Bool -- prop_c0120_identity2 cube =