X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FCube.hs;h=b5e771b2684c50df9658f49ce7d76c9258dc5084;hb=f5367b88967f31b37159b345357df8460bbb8d69;hp=631af5f54545564bf314531cf612d94ac4ef41f3;hpb=131df3514c868c055c22c090e17674b07d25d8ca;p=spline3.git diff --git a/src/Tests/Cube.hs b/src/Tests/Cube.hs index 631af5f..b5e771b 100644 --- a/src/Tests/Cube.hs +++ b/src/Tests/Cube.hs @@ -6,7 +6,7 @@ import Test.QuickCheck import Cardinal import Comparisons -import Cube +import Cube hiding (i, j, k) import FunctionValues import Misc (all_equal) import Tests.FunctionValues () @@ -692,20 +692,19 @@ prop_c1011_identity cube = -- | 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 cube --- t1 = tetrahedron1 cube - +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 cube + t1 = tetrahedron1 cube -- | The function values at the interior should be the same for all tetrahedra. @@ -715,30 +714,30 @@ prop_interior_values_all_identical cube = i9, i10, i11, i12, i13, i14, i15, i16, i17, i18, i19, i20, i21, i22, i23] where - i0 = eval (Tetrahedron.fv (tetrahedron0 cube)) $ I - i1 = eval (Tetrahedron.fv (tetrahedron1 cube)) $ I - i2 = eval (Tetrahedron.fv (tetrahedron2 cube)) $ I - i3 = eval (Tetrahedron.fv (tetrahedron3 cube)) $ I - i4 = eval (Tetrahedron.fv (tetrahedron4 cube)) $ I - i5 = eval (Tetrahedron.fv (tetrahedron5 cube)) $ I - i6 = eval (Tetrahedron.fv (tetrahedron6 cube)) $ I - i7 = eval (Tetrahedron.fv (tetrahedron7 cube)) $ I - i8 = eval (Tetrahedron.fv (tetrahedron8 cube)) $ I - i9 = eval (Tetrahedron.fv (tetrahedron9 cube)) $ I - i10 = eval (Tetrahedron.fv (tetrahedron10 cube)) $ I - i11 = eval (Tetrahedron.fv (tetrahedron11 cube)) $ I - i12 = eval (Tetrahedron.fv (tetrahedron12 cube)) $ I - i13 = eval (Tetrahedron.fv (tetrahedron13 cube)) $ I - i14 = eval (Tetrahedron.fv (tetrahedron14 cube)) $ I - i15 = eval (Tetrahedron.fv (tetrahedron15 cube)) $ I - i16 = eval (Tetrahedron.fv (tetrahedron16 cube)) $ I - i17 = eval (Tetrahedron.fv (tetrahedron17 cube)) $ I - i18 = eval (Tetrahedron.fv (tetrahedron18 cube)) $ I - i19 = eval (Tetrahedron.fv (tetrahedron19 cube)) $ I - i20 = eval (Tetrahedron.fv (tetrahedron20 cube)) $ I - i21 = eval (Tetrahedron.fv (tetrahedron21 cube)) $ I - i22 = eval (Tetrahedron.fv (tetrahedron22 cube)) $ I - i23 = eval (Tetrahedron.fv (tetrahedron23 cube)) $ I + i0 = eval (Tetrahedron.fv (tetrahedron0 cube)) I + i1 = eval (Tetrahedron.fv (tetrahedron1 cube)) I + i2 = eval (Tetrahedron.fv (tetrahedron2 cube)) I + i3 = eval (Tetrahedron.fv (tetrahedron3 cube)) I + i4 = eval (Tetrahedron.fv (tetrahedron4 cube)) I + i5 = eval (Tetrahedron.fv (tetrahedron5 cube)) I + i6 = eval (Tetrahedron.fv (tetrahedron6 cube)) I + i7 = eval (Tetrahedron.fv (tetrahedron7 cube)) I + i8 = eval (Tetrahedron.fv (tetrahedron8 cube)) I + i9 = eval (Tetrahedron.fv (tetrahedron9 cube)) I + i10 = eval (Tetrahedron.fv (tetrahedron10 cube)) I + i11 = eval (Tetrahedron.fv (tetrahedron11 cube)) I + i12 = eval (Tetrahedron.fv (tetrahedron12 cube)) I + i13 = eval (Tetrahedron.fv (tetrahedron13 cube)) I + i14 = eval (Tetrahedron.fv (tetrahedron14 cube)) I + i15 = eval (Tetrahedron.fv (tetrahedron15 cube)) I + i16 = eval (Tetrahedron.fv (tetrahedron16 cube)) I + i17 = eval (Tetrahedron.fv (tetrahedron17 cube)) I + i18 = eval (Tetrahedron.fv (tetrahedron18 cube)) I + i19 = eval (Tetrahedron.fv (tetrahedron19 cube)) I + i20 = eval (Tetrahedron.fv (tetrahedron20 cube)) I + i21 = eval (Tetrahedron.fv (tetrahedron21 cube)) I + i22 = eval (Tetrahedron.fv (tetrahedron22 cube)) I + i23 = eval (Tetrahedron.fv (tetrahedron23 cube)) I -- | We know what (c t6 2 1 0 0) should be from Sorokina and Zeilfelder, p. 87.