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TestRotation.hs
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TestRotation.hs
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module TestRotation where
import Cube (Cube)
import Numeric.LinearAlgebra ((<>))
import Rotation
import qualified Cube as Cube
import qualified Data.List as List
testRotations :: MatrixRotation -> Bool
testRotations m =
let ms = take 4 $ iterate (<> m) m
areIdentity = fmap (== identity) ms
testAreIdentity = areIdentity == [False, False, False, True]
testAllDifferent = (4 ==) . length $ List.nub ms
in testAreIdentity && testAllDifferent
testTopToFront :: Bool
testTopToFront =
let [top, frn, rgt, bck, lft, bot] = [Cube.Top ..]
[w, g, r, b, o, y] = [Cube.White ..]
expected = [ (top, 0, 0, b), (top, 0, 1, b), (top, 0, 2, b), (top, 1, 0, b), (top, 1, 1, b), (top, 1, 2, b), (top, 2, 0, b), (top, 2, 1, b), (top, 2, 2, b)
, (frn, 0, 0, w), (frn, 0, 1, w), (frn, 0, 2, w), (frn, 1, 0, w), (frn, 1, 1, w), (frn, 1, 2, w), (frn, 2, 0, w), (frn, 2, 1, w), (frn, 2, 2, w)
, (rgt, 0, 0, r), (rgt, 0, 1, r), (rgt, 0, 2, r), (rgt, 1, 0, r), (rgt, 1, 1, r), (rgt, 1, 2, r), (rgt, 2, 0, r), (rgt, 2, 1, r), (rgt, 2, 2, r)
, (bck, 0, 0, y), (bck, 0, 1, y), (bck, 0, 2, y), (bck, 1, 0, y), (bck, 1, 1, y), (bck, 1, 2, y), (bck, 2, 0, y), (bck, 2, 1, y), (bck, 2, 2, y)
, (lft, 0, 0, o), (lft, 0, 1, o), (lft, 0, 2, o), (lft, 1, 0, o), (lft, 1, 1, o), (lft, 1, 2, o), (lft, 2, 0, o), (lft, 2, 1, o), (lft, 2, 2, o)
, (bot, 0, 0, g), (bot, 0, 1, g), (bot, 0, 2, g), (bot, 1, 0, g), (bot, 1, 1, g), (bot, 1, 2, g), (bot, 2, 0, g), (bot, 2, 1, g), (bot, 2, 2, g) ]
rotated = rotate topToFront Cube.solvedCube
in expected == rotated
&& testRotations topToFront
getSideColors :: Cube -> [(Cube.Side, Cube.Color)]
getSideColors = fmap head . filter (not . null) . List.group . fmap (\(s,_,_,c) -> (s,c))
testTopToBack :: Bool
testTopToBack = testRotations topToBack
testTopToRight :: Bool
testTopToRight =
let [top, frn, rgt, bck, lft, bot] = [Cube.Top ..]
[w, g, r, b, o, y] = [Cube.White ..]
expected = [ (top, 0, 0, o), (top, 0, 1, o), (top, 0, 2, o), (top, 1, 0, o), (top, 1, 1, o), (top, 1, 2, o), (top, 2, 0, o), (top, 2, 1, o), (top, 2, 2, o)
, (frn, 0, 0, g), (frn, 0, 1, g), (frn, 0, 2, g), (frn, 1, 0, g), (frn, 1, 1, g), (frn, 1, 2, g), (frn, 2, 0, g), (frn, 2, 1, g), (frn, 2, 2, g)
, (rgt, 0, 0, w), (rgt, 0, 1, w), (rgt, 0, 2, w), (rgt, 1, 0, w), (rgt, 1, 1, w), (rgt, 1, 2, w), (rgt, 2, 0, w), (rgt, 2, 1, w), (rgt, 2, 2, w)
, (bck, 0, 0, b), (bck, 0, 1, b), (bck, 0, 2, b), (bck, 1, 0, b), (bck, 1, 1, b), (bck, 1, 2, b), (bck, 2, 0, b), (bck, 2, 1, b), (bck, 2, 2, b)
, (lft, 0, 0, y), (lft, 0, 1, y), (lft, 0, 2, y), (lft, 1, 0, y), (lft, 1, 1, y), (lft, 1, 2, y), (lft, 2, 0, y), (lft, 2, 1, y), (lft, 2, 2, y)
, (bot, 0, 0, r), (bot, 0, 1, r), (bot, 0, 2, r), (bot, 1, 0, r), (bot, 1, 1, r), (bot, 1, 2, r), (bot, 2, 0, r), (bot, 2, 1, r), (bot, 2, 2, r) ]
rotated = rotate topToRight Cube.solvedCube
in expected == rotated
&& testRotations topToRight
testTopToLeft :: Bool
testTopToLeft = testRotations topToLeft
testTopTwistRight :: Bool
testTopTwistRight =
let [top, frn, rgt, bck, lft, bot] = [Cube.Top ..]
[w, g, r, b, o, y] = [Cube.White ..]
expected = [ (top, 0, 0, w), (top, 0, 1, w), (top, 0, 2, w), (top, 1, 0, w), (top, 1, 1, w), (top, 1, 2, w), (top, 2, 0, w), (top, 2, 1, w), (top, 2, 2, w)
, (frn, 0, 0, r), (frn, 0, 1, r), (frn, 0, 2, r), (frn, 1, 0, r), (frn, 1, 1, r), (frn, 1, 2, r), (frn, 2, 0, r), (frn, 2, 1, r), (frn, 2, 2, r)
, (rgt, 0, 0, b), (rgt, 0, 1, b), (rgt, 0, 2, b), (rgt, 1, 0, b), (rgt, 1, 1, b), (rgt, 1, 2, b), (rgt, 2, 0, b), (rgt, 2, 1, b), (rgt, 2, 2, b)
, (bck, 0, 0, o), (bck, 0, 1, o), (bck, 0, 2, o), (bck, 1, 0, o), (bck, 1, 1, o), (bck, 1, 2, o), (bck, 2, 0, o), (bck, 2, 1, o), (bck, 2, 2, o)
, (lft, 0, 0, g), (lft, 0, 1, g), (lft, 0, 2, g), (lft, 1, 0, g), (lft, 1, 1, g), (lft, 1, 2, g), (lft, 2, 0, g), (lft, 2, 1, g), (lft, 2, 2, g)
, (bot, 0, 0, y), (bot, 0, 1, y), (bot, 0, 2, y), (bot, 1, 0, y), (bot, 1, 1, y), (bot, 1, 2, y), (bot, 2, 0, y), (bot, 2, 1, y), (bot, 2, 2, y) ]
rotated = rotate topTwistRight Cube.solvedCube
in expected == rotated
&& testRotations topTwistRight
testTopTwistLeft :: Bool
testTopTwistLeft = testRotations topTwistLeft
testRightL :: Bool
testRightL =
let [top, frn, rgt, bck, lft, bot] = [Cube.Top ..]
[w, g, r, b, o, y] = [Cube.White ..]
expected = [ (top, 0, 0, w), (top, 0, 1, w), (top, 0, 2, b), (top, 1, 0, w), (top, 1, 1, w), (top, 1, 2, b), (top, 2, 0, w), (top, 2, 1, w), (top, 2, 2, b)
, (frn, 0, 0, g), (frn, 0, 1, g), (frn, 0, 2, w), (frn, 1, 0, g), (frn, 1, 1, g), (frn, 1, 2, w), (frn, 2, 0, g), (frn, 2, 1, g), (frn, 2, 2, w)
, (rgt, 0, 0, r), (rgt, 0, 1, r), (rgt, 0, 2, r), (rgt, 1, 0, r), (rgt, 1, 1, r), (rgt, 1, 2, r), (rgt, 2, 0, r), (rgt, 2, 1, r), (rgt, 2, 2, r)
, (bck, 0, 0, y), (bck, 0, 1, b), (bck, 0, 2, b), (bck, 1, 0, y), (bck, 1, 1, b), (bck, 1, 2, b), (bck, 2, 0, y), (bck, 2, 1, b), (bck, 2, 2, b)
, (lft, 0, 0, o), (lft, 0, 1, o), (lft, 0, 2, o), (lft, 1, 0, o), (lft, 1, 1, o), (lft, 1, 2, o), (lft, 2, 0, o), (lft, 2, 1, o), (lft, 2, 2, o)
, (bot, 0, 0, y), (bot, 0, 1, y), (bot, 0, 2, g), (bot, 1, 0, y), (bot, 1, 1, y), (bot, 1, 2, g), (bot, 2, 0, y), (bot, 2, 1, y), (bot, 2, 2, g) ]
rotated = rotate rightL Cube.solvedCube
in expected == rotated
&& testRotations rightL
testRightR :: Bool
testRightR = testRotations rightR
testLeftL :: Bool
testLeftL =
let [top, frn, rgt, bck, lft, bot] = [Cube.Top ..]
[w, g, r, b, o, y] = [Cube.White ..]
expected = [ (top, 0, 0, g), (top, 0, 1, w), (top, 0, 2, w), (top, 1, 0, g), (top, 1, 1, w), (top, 1, 2, w), (top, 2, 0, g), (top, 2, 1, w), (top, 2, 2, w)
, (frn, 0, 0, y), (frn, 0, 1, g), (frn, 0, 2, g), (frn, 1, 0, y), (frn, 1, 1, g), (frn, 1, 2, g), (frn, 2, 0, y), (frn, 2, 1, g), (frn, 2, 2, g)
, (rgt, 0, 0, r), (rgt, 0, 1, r), (rgt, 0, 2, r), (rgt, 1, 0, r), (rgt, 1, 1, r), (rgt, 1, 2, r), (rgt, 2, 0, r), (rgt, 2, 1, r), (rgt, 2, 2, r)
, (bck, 0, 0, b), (bck, 0, 1, b), (bck, 0, 2, w), (bck, 1, 0, b), (bck, 1, 1, b), (bck, 1, 2, w), (bck, 2, 0, b), (bck, 2, 1, b), (bck, 2, 2, w)
, (lft, 0, 0, o), (lft, 0, 1, o), (lft, 0, 2, o), (lft, 1, 0, o), (lft, 1, 1, o), (lft, 1, 2, o), (lft, 2, 0, o), (lft, 2, 1, o), (lft, 2, 2, o)
, (bot, 0, 0, b), (bot, 0, 1, y), (bot, 0, 2, y), (bot, 1, 0, b), (bot, 1, 1, y), (bot, 1, 2, y), (bot, 2, 0, b), (bot, 2, 1, y), (bot, 2, 2, y) ]
rotated = rotate leftL Cube.solvedCube
in expected == rotated
&& testRotations leftL
testLeftR :: Bool
testLeftR = testRotations leftR
testTopL :: Bool
testTopL =
let [top, frn, rgt, bck, lft, bot] = [Cube.Top ..]
[w, g, r, b, o, y] = [Cube.White ..]
expected = [ (top, 0, 0, w), (top, 0, 1, w), (top, 0, 2, w), (top, 1, 0, w), (top, 1, 1, w), (top, 1, 2, w), (top, 2, 0, w), (top, 2, 1, w), (top, 2, 2, w)
, (frn, 0, 0, o), (frn, 0, 1, o), (frn, 0, 2, o), (frn, 1, 0, g), (frn, 1, 1, g), (frn, 1, 2, g), (frn, 2, 0, g), (frn, 2, 1, g), (frn, 2, 2, g)
, (rgt, 0, 0, g), (rgt, 0, 1, g), (rgt, 0, 2, g), (rgt, 1, 0, r), (rgt, 1, 1, r), (rgt, 1, 2, r), (rgt, 2, 0, r), (rgt, 2, 1, r), (rgt, 2, 2, r)
, (bck, 0, 0, r), (bck, 0, 1, r), (bck, 0, 2, r), (bck, 1, 0, b), (bck, 1, 1, b), (bck, 1, 2, b), (bck, 2, 0, b), (bck, 2, 1, b), (bck, 2, 2, b)
, (lft, 0, 0, b), (lft, 0, 1, b), (lft, 0, 2, b), (lft, 1, 0, o), (lft, 1, 1, o), (lft, 1, 2, o), (lft, 2, 0, o), (lft, 2, 1, o), (lft, 2, 2, o)
, (bot, 0, 0, y), (bot, 0, 1, y), (bot, 0, 2, y), (bot, 1, 0, y), (bot, 1, 1, y), (bot, 1, 2, y), (bot, 2, 0, y), (bot, 2, 1, y), (bot, 2, 2, y) ]
rotated = rotate topL Cube.solvedCube
in expected == rotated
&& testRotations topL
testTopR :: Bool
testTopR = testRotations topR
testBottomL :: Bool
testBottomL =
let [top, frn, rgt, bck, lft, bot] = [Cube.Top ..]
[w, g, r, b, o, y] = [Cube.White ..]
expected = [ (top, 0, 0, w), (top, 0, 1, w), (top, 0, 2, w), (top, 1, 0, w), (top, 1, 1, w), (top, 1, 2, w), (top, 2, 0, w), (top, 2, 1, w), (top, 2, 2, w)
, (frn, 0, 0, g), (frn, 0, 1, g), (frn, 0, 2, g), (frn, 1, 0, g), (frn, 1, 1, g), (frn, 1, 2, g), (frn, 2, 0, r), (frn, 2, 1, r), (frn, 2, 2, r)
, (rgt, 0, 0, r), (rgt, 0, 1, r), (rgt, 0, 2, r), (rgt, 1, 0, r), (rgt, 1, 1, r), (rgt, 1, 2, r), (rgt, 2, 0, b), (rgt, 2, 1, b), (rgt, 2, 2, b)
, (bck, 0, 0, b), (bck, 0, 1, b), (bck, 0, 2, b), (bck, 1, 0, b), (bck, 1, 1, b), (bck, 1, 2, b), (bck, 2, 0, o), (bck, 2, 1, o), (bck, 2, 2, o)
, (lft, 0, 0, o), (lft, 0, 1, o), (lft, 0, 2, o), (lft, 1, 0, o), (lft, 1, 1, o), (lft, 1, 2, o), (lft, 2, 0, g), (lft, 2, 1, g), (lft, 2, 2, g)
, (bot, 0, 0, y), (bot, 0, 1, y), (bot, 0, 2, y), (bot, 1, 0, y), (bot, 1, 1, y), (bot, 1, 2, y), (bot, 2, 0, y), (bot, 2, 1, y), (bot, 2, 2, y) ]
rotated = rotate bottomL Cube.solvedCube
in expected == rotated
&& testRotations bottomL
testBottomR :: Bool
testBottomR = testRotations bottomR
testFrontL :: Bool
testFrontL =
let [top, frn, rgt, bck, lft, bot] = [Cube.Top ..]
[w, g, r, b, o, y] = [Cube.White ..]
expected = [ (top, 0, 0, w), (top, 0, 1, w), (top, 0, 2, w), (top, 1, 0, w), (top, 1, 1, w), (top, 1, 2, w), (top, 2, 0, r), (top, 2, 1, r), (top, 2, 2, r)
, (frn, 0, 0, g), (frn, 0, 1, g), (frn, 0, 2, g), (frn, 1, 0, g), (frn, 1, 1, g), (frn, 1, 2, g), (frn, 2, 0, g), (frn, 2, 1, g), (frn, 2, 2, g)
, (rgt, 0, 0, y), (rgt, 0, 1, r), (rgt, 0, 2, r), (rgt, 1, 0, y), (rgt, 1, 1, r), (rgt, 1, 2, r), (rgt, 2, 0, y), (rgt, 2, 1, r), (rgt, 2, 2, r)
, (bck, 0, 0, b), (bck, 0, 1, b), (bck, 0, 2, b), (bck, 1, 0, b), (bck, 1, 1, b), (bck, 1, 2, b), (bck, 2, 0, b), (bck, 2, 1, b), (bck, 2, 2, b)
, (lft, 0, 0, o), (lft, 0, 1, o), (lft, 0, 2, w), (lft, 1, 0, o), (lft, 1, 1, o), (lft, 1, 2, w), (lft, 2, 0, o), (lft, 2, 1, o), (lft, 2, 2, w)
, (bot, 0, 0, o), (bot, 0, 1, o), (bot, 0, 2, o), (bot, 1, 0, y), (bot, 1, 1, y), (bot, 1, 2, y), (bot, 2, 0, y), (bot, 2, 1, y), (bot, 2, 2, y) ]
rotated = rotate frontL Cube.solvedCube
in expected == rotated
&& testRotations frontL
testFrontR :: Bool
testFrontR = testRotations frontR
testBackL :: Bool
testBackL =
let [top, frn, rgt, bck, lft, bot] = [Cube.Top ..]
[w, g, r, b, o, y] = [Cube.White ..]
expected = [ (top, 0, 0, o), (top, 0, 1, o), (top, 0, 2, o), (top, 1, 0, w), (top, 1, 1, w), (top, 1, 2, w), (top, 2, 0, w), (top, 2, 1, w), (top, 2, 2, w)
, (frn, 0, 0, g), (frn, 0, 1, g), (frn, 0, 2, g), (frn, 1, 0, g), (frn, 1, 1, g), (frn, 1, 2, g), (frn, 2, 0, g), (frn, 2, 1, g), (frn, 2, 2, g)
, (rgt, 0, 0, r), (rgt, 0, 1, r), (rgt, 0, 2, w), (rgt, 1, 0, r), (rgt, 1, 1, r), (rgt, 1, 2, w), (rgt, 2, 0, r), (rgt, 2, 1, r), (rgt, 2, 2, w)
, (bck, 0, 0, b), (bck, 0, 1, b), (bck, 0, 2, b), (bck, 1, 0, b), (bck, 1, 1, b), (bck, 1, 2, b), (bck, 2, 0, b), (bck, 2, 1, b), (bck, 2, 2, b)
, (lft, 0, 0, y), (lft, 0, 1, o), (lft, 0, 2, o), (lft, 1, 0, y), (lft, 1, 1, o), (lft, 1, 2, o), (lft, 2, 0, y), (lft, 2, 1, o), (lft, 2, 2, o)
, (bot, 0, 0, y), (bot, 0, 1, y), (bot, 0, 2, y), (bot, 1, 0, y), (bot, 1, 1, y), (bot, 1, 2, y), (bot, 2, 0, r), (bot, 2, 1, r), (bot, 2, 2, r) ]
rotated = rotate backL Cube.solvedCube
in expected == rotated
&& testRotations backL
testBackR :: Bool
testBackR = testRotations backR
testCombined :: Bool
testCombined =
let [top, frn, rgt, bck, lft, bot] = [Cube.Top ..]
[w, g, r, b, o, y] = [Cube.White ..]
expected = [ (top, 0, 0, o), (top, 0, 1, o), (top, 0, 2, b), (top, 1, 0, o), (top, 1, 1, w), (top, 1, 2, b), (top, 2, 0, o), (top, 2, 1, r), (top, 2, 2, r)
, (frn, 0, 0, b), (frn, 0, 1, g), (frn, 0, 2, w), (frn, 1, 0, y), (frn, 1, 1, g), (frn, 1, 2, w), (frn, 2, 0, y), (frn, 2, 1, y), (frn, 2, 2, b)
, (rgt, 0, 0, g), (rgt, 0, 1, r), (rgt, 0, 2, w), (rgt, 1, 0, g), (rgt, 1, 1, r), (rgt, 1, 2, w), (rgt, 2, 0, y), (rgt, 2, 1, y), (rgt, 2, 2, o)
, (bck, 0, 0, r), (bck, 0, 1, b), (bck, 0, 2, g), (bck, 1, 0, r), (bck, 1, 1, b), (bck, 1, 2, w), (bck, 2, 0, y), (bck, 2, 1, y), (bck, 2, 2, g)
, (lft, 0, 0, w), (lft, 0, 1, w), (lft, 0, 2, w), (lft, 1, 0, b), (lft, 1, 1, o), (lft, 1, 2, o), (lft, 2, 0, y), (lft, 2, 1, g), (lft, 2, 2, r)
, (bot, 0, 0, g), (bot, 0, 1, g), (bot, 0, 2, r), (bot, 1, 0, o), (bot, 1, 1, y), (bot, 1, 2, r), (bot, 2, 0, o), (bot, 2, 1, b), (bot, 2, 2, b) ]
rotation = bottomL <> leftL <> backL <> rightL <> frontL <> topL
rotated = rotate rotation Cube.solvedCube
in expected == rotated
&& testRotations backL
testNameMatrixRotation :: Bool
testNameMatrixRotation = and $ do
(r, n) <- rotations
let n' = nameMatrixRotation r
return $ n == n'
testInverse :: Bool
testInverse = and $ do
(r, _) <- rotations
let (Just r') = inverse r
let (Just r'') = inverse r'
return $ r == r''
tests = [ ("Rotation.topToFront", testTopToFront)
, ("Rotation.topToBack", testTopToBack)
, ("Rotation.topToRight", testTopToRight)
, ("Rotation.topToLeft", testTopToLeft)
, ("Rotation.topTwistRight", testTopTwistRight)
, ("Rotation.topTwistLeft", testTopTwistLeft)
, ("Rotation.rightL", testRightL)
, ("Rotation.rightR", testRightR)
, ("Rotation.leftL", testLeftL)
, ("Rotation.leftR", testLeftR)
, ("Rotation.topL", testTopL)
, ("Rotation.topR", testTopR)
, ("Rotation.bottomL", testBottomL)
, ("Rotation.bottomR", testBottomR)
, ("Rotation.frontL", testFrontL)
, ("Rotation.frontR", testFrontR)
, ("Rotation.backL", testBackL)
, ("Rotation.backR", testBackR)
, ("combined", testCombined)
, ("Rotation.nameMatrixRotation", testNameMatrixRotation)
, ("Rotation.inverse", testInverse)
]