X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=src%2FTests%2FCardinal.hs;fp=src%2FTests%2FCardinal.hs;h=0000000000000000000000000000000000000000;hb=957754c693525096c5fd7427decd6404bbb03379;hp=7d4cfde00df4a1df66c621739d920a688aae3bb7;hpb=9849853e69c46b46996e8c775d15661b2aba27a8;p=spline3.git diff --git a/src/Tests/Cardinal.hs b/src/Tests/Cardinal.hs deleted file mode 100644 index 7d4cfde..0000000 --- a/src/Tests/Cardinal.hs +++ /dev/null @@ -1,192 +0,0 @@ -module Tests.Cardinal -where - -import Prelude hiding (LT) -import Test.HUnit -import Test.QuickCheck (Property, (==>)) - -import Cardinal - --- | We know what (c t6 2 1 0 0) should be from Sorokina and --- Zeilfelder, p. 87. This test checks that the directions are --- rotated properly. The order of the letters has to be just right --- since I haven't defined a proper Eq instance for Cardinals. -test_c_tilde_2100_rotation_correct :: Assertion -test_c_tilde_2100_rotation_correct = - assertEqual "auto-rotate equals manual rotate" ((ccwz . ccwz . cwy) expr1) expr2 - where - expr1 = - (3/8)*I + - (1/12)*(T + R + L + D) + - (1/64)*(FT + FR + FL + FD) + - (7/48)*F + - (1/48)*B + - (1/96)*(RT + LD + LT + RD) + - (1/192)*(BT + BR + BL + BD) - - expr2 = - (3/8)*I + - (1/12)*(F + L + R + B) + - (1/64)*(FT + LT + RT + BT) + - (7/48)*T + - (1/48)*D + - (1/96)*(FL + BR + FR + BL) + - (1/192)*(FD + LD + RD + BD) - --- | A list of all directions, sans the interior and composite types. -all_directions :: [Cardinal] -all_directions = [L, R, F, B, D, T, FL, FR, FD, FT, - BL, BR, BD, BT, LD, LT, RD, RT, FLD, - FLT, FRD, FRT, BLD, BLT, BRD, BRT] - - --- | If we rotate a direction (other than front or back) --- counter-clockwise with respect to the x-axis, we should get a new --- direction. -prop_ccwx_rotation_changes_direction :: Cardinal -> Property -prop_ccwx_rotation_changes_direction c = - c `elem` [L, R, D, T, FL, FR, FD, FT, BL, BR, BD, BT, LD, LT, - RD, RT, FLD, FLT, FRD, FRT, BLD, BLT, BRD, BRT] - ==> ccwx c /= c - --- | If we rotate a direction (other than front or back) clockwise --- with respect to the x-axis, we should get a new direction. -prop_cwx_rotation_changes_direction :: Cardinal -> Property -prop_cwx_rotation_changes_direction c = - -- The front and back faces are unchanged by x-rotation. - c `elem` [L, R, D, T, FL, FR, FD, FT, BL, BR, BD, BT, LD, LT, - RD, RT, FLD, FLT, FRD, FRT, BLD, BLT, BRD, BRT] - ==> cwx c /= c - --- | If we rotate a direction (other than left or right) --- counter-clockwise with respect to the y-axis, we should get a new --- direction. -prop_ccwy_rotation_changes_direction :: Cardinal -> Property -prop_ccwy_rotation_changes_direction c = - c `elem` [F, B, D, T, FL, FR, FD, FT, BL, BR, BD, BT, LD, LT, - RD, RT, FLD, FLT, FRD, FRT, BLD, BLT, BRD, BRT] - ==> ccwy c /= c - - --- | If we rotate a direction (other than left or right) clockwise --- with respect to the y-axis, we should get a new direction. -prop_cwy_rotation_changes_direction :: Cardinal -> Property -prop_cwy_rotation_changes_direction c = - c `elem` [F, B, D, T, FL, FR, FD, FT, BL, BR, BD, BT, LD, LT, - RD, RT, FLD, FLT, FRD, FRT, BLD, BLT, BRD, BRT] - ==> cwy c /= c - - --- | If we rotate a direction (other than top or down) --- counter-clockwise with respect to the z-axis, we should get a new --- direction. -prop_ccwz_rotation_changes_direction :: Cardinal -> Property -prop_ccwz_rotation_changes_direction c = - c `elem` [L, R, F, B, FL, FR, FD, FT, BL, BR, BD, BT, LD, LT, - RD, RT, FLD, FLT, FRD, FRT, BLD, BLT, BRD, BRT] - ==> ccwz c /= c - - --- | If we rotate a direction (other than top or down) clockwise with --- respect to the z-axis, we should get a new direction. -prop_cwz_rotation_changes_direction :: Cardinal -> Property -prop_cwz_rotation_changes_direction c = - c `elem` [L, R, F, B, FL, FR, FD, FT, BL, BR, BD, BT, LD, LT, - RD, RT, FLD, FLT, FRD, FRT, BLD, BLT, BRD, BRT] - ==> cwz c /= c - - --- | If we are given a direction c, there should only be one direction --- d which, when rotated counter-clockwise with respect to the --- x-axis, produces c. -prop_ccwx_rotation_result_unique :: Cardinal -> Property -prop_ccwx_rotation_result_unique c = - c `elem` all_directions ==> - (length [ d | d <- all_directions, ccwx d == c ]) == 1 - --- | If we are given a direction c, there should only be one direction --- d which, when rotated clockwise with respect to the x-axis, --- produces c. -prop_cwx_rotation_result_unique :: Cardinal -> Property -prop_cwx_rotation_result_unique c = - c `elem` all_directions ==> - (length [ d | d <- all_directions, cwx d == c ]) == 1 - - --- | If we are given a direction c, there should only be one direction --- d which, when rotated counter-clockwise with respect to the --- y-axis, produces c. -prop_ccwy_rotation_result_unique :: Cardinal -> Property -prop_ccwy_rotation_result_unique c = - c `elem` all_directions ==> - (length [ d | d <- all_directions, ccwy d == c ]) == 1 - - --- | If we are given a direction c, there should only be one direction --- d which, when rotated clockwise with respect to the y-axis, --- produces c. -prop_cwy_rotation_result_unique :: Cardinal -> Property -prop_cwy_rotation_result_unique c = - c `elem` all_directions ==> - (length [ d | d <- all_directions, cwy d == c ]) == 1 - - --- | If we are given a direction c, there should only be one direction --- d which, when rotated counter-clockwise with respect to the --- z-axis, produces c. -prop_ccwz_rotation_result_unique :: Cardinal -> Property -prop_ccwz_rotation_result_unique c = - c `elem` all_directions ==> - (length [ d | d <- all_directions, ccwz d == c ]) == 1 - - --- | If we are given a direction c, there should only be one direction --- d which, when rotated clockwise with respect to the z-axis, --- produces c. -prop_cwz_rotation_result_unique :: Cardinal -> Property -prop_cwz_rotation_result_unique c = - c `elem` all_directions ==> - (length [ d | d <- all_directions, cwz d == c ]) == 1 - - --- | If you rotate a cardinal direction four times in the clockwise --- (with respect to x) direction, you should wind up with the same --- direction. -prop_four_cwx_is_identity :: Cardinal -> Bool -prop_four_cwx_is_identity c = - (cwx . cwx . cwx . cwx) c == c - --- | If you rotate a cardinal direction four times in the --- counter-clockwise (with respect to x) direction, you should wind up --- with the same direction. -prop_four_ccwx_is_identity :: Cardinal -> Bool -prop_four_ccwx_is_identity c = - (ccwx . ccwx . ccwx . ccwx) c == c - --- | If you rotate a cardinal direction four times in the clockwise --- (with respect to y) direction, you should wind up with the same --- direction. -prop_four_cwy_is_identity :: Cardinal -> Bool -prop_four_cwy_is_identity c = - (cwy . cwy . cwy . cwy) c == c - --- | If you rotate a cardinal direction four times in the counter-clockwise --- (with respect to y) direction, you should wind up with the same --- direction. -prop_four_ccwy_is_identity :: Cardinal -> Bool -prop_four_ccwy_is_identity c = - (ccwy . ccwy . ccwy . ccwy) c == c - --- | If you rotate a cardinal direction four times in the clockwise --- (with respect to z) direction, you should wind up with the same --- direction. -prop_four_cwz_is_identity :: Cardinal -> Bool -prop_four_cwz_is_identity c = - (cwz . cwz . cwz . cwz) c == c - --- | If you rotate a cardinal direction four times in the --- counter-clockwise (with respect to z) direction, you should wind up --- with the same direction. -prop_four_ccwz_is_identity :: Cardinal -> Bool -prop_four_ccwz_is_identity c = - (ccwz . ccwz . ccwz . ccwz) c == c