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90 lines
2.6 KiB
90 lines
2.6 KiB
import Data.List.Split
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import Data.List
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import Data.Char as Char
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import Linear.V3
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main = do
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moons <- map createMoon <$> map getList <$> map cleanString <$> lines <$> getContents
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--let newMoons = calculateMoons moons 1000
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--let ernergy = sum $ map getErnergy newMoons
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let xAxis = getXAxis moons
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let loopx = findLoop xAxis xAxis 0
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let yAxis = getYAxis moons
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let loopy = findLoop yAxis yAxis 0
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let zAxis = getZAxis moons
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let loopz = findLoop zAxis zAxis 0
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let result = foldl1 lcm [loopx, loopy, loopz]
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--mapM putStrLn ( map show newMoons )
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--putStrLn ( show ernergy)
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putStrLn(show result)
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data Moon = Moon{ position :: V3 Int
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,velocity :: V3 Int
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} deriving Show
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getList :: String -> [Int]
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getList = map read . splitOn ", "
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cleanString :: String -> String
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cleanString xs = xs \\ "<>xyz==="
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createMoon :: [Int] -> Moon
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createMoon [x,y,z] = Moon (V3 x y z) (V3 0 0 0)
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stepGravity :: [Moon] -> [Moon]
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stepGravity xs = map (\(p,v) -> Moon p v) $ zip (newPos) newVel
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where newVel = zipWith (+) (getVel xs) (gravity $ getPos xs)
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newPos = zipWith (+) (getPos xs) (newVel)
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gravity :: (Num a, Eq a)=> [a] -> [a]
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gravity xs = [sum [signum $ x-y | x<-xs, y/=x] | y<-xs]
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calculateMoons :: [Moon] -> Int -> [Moon]
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calculateMoons xs 0 = xs
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calculateMoons xs n = calculateMoons (stepGravity xs) (n-1)
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findLoop :: ([Int],[Int]) -> ([Int],[Int]) -> Int -> Int
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findLoop pos start c
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| pos /= start || c == 0 = findLoop (stepAxis pos) start (c+1)
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| pos == start = c
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stepAxis :: ([Int],[Int]) -> ([Int],[Int])
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stepAxis (pos,vel) = (newPos, newVel)
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where newVel = zipWith (+) (vel) (gravity pos)
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newPos = zipWith (+) (pos) (newVel)
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getPos :: [Moon] -> [V3 Int]
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getPos xs = map(\x -> position x) xs
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getVel :: [Moon] -> [V3 Int]
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getVel xs = map(\x -> velocity x) xs
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getErnergy :: Moon -> Int
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getErnergy (Moon pos vel) = (sum $ abs pos) * (sum $ abs vel)
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getXAxis :: [Moon] -> ([Int],[Int])
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getXAxis xs = (pos,vel)
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where pos = map(\x -> getX $ position x) xs
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vel = map(\x -> getX $ velocity x) xs
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getZAxis :: [Moon] -> ([Int],[Int])
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getZAxis xs = (pos,vel)
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where pos = map(\x -> getZ $ position x) xs
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vel = map(\x -> getZ $ velocity x) xs
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getYAxis :: [Moon] -> ([Int],[Int])
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getYAxis xs = (pos,vel)
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where pos = map(\x -> getY $ position x) xs
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vel = map(\x -> getY $ velocity x) xs
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getX :: V3 Int -> Int
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getX (V3 x y z) = x
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getY :: V3 Int -> Int
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getY (V3 x y z) = y
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getZ :: V3 Int -> Int
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getZ (V3 x y z) = z
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