X-Git-Url: https://git.njae.me.uk/?a=blobdiff_plain;f=advent12%2Fsrc%2Fadvent12.hs;h=efd693b8ba578b2b25775a1148e89e845a642d09;hb=0687ede77cf156e00b9c2cc1a5e49c633b8ba816;hp=b847d28de03b194954589d30b0e26f14d19b4565;hpb=64e7414bf1a3d2391383c4d5c55180d2c7950c9d;p=advent-of-code-19.git

diff --git a/advent12/src/advent12.hs b/advent12/src/advent12.hs
index b847d28..efd693b 100644
--- a/advent12/src/advent12.hs
+++ b/advent12/src/advent12.hs
@@ -8,62 +8,121 @@ import Text.Megaparsec.Char
 import qualified Text.Megaparsec.Char.Lexer as L
 import qualified Control.Applicative as CA
 
-import Linear (V3(..), (^+^), (^-^))
-
-import qualified Data.Set as S
-
--- import Data.List (foldl')
--- import Data.Set ((\\))
--- import qualified Data.Map.Strict as M
--- import Data.Map.Strict ((!))
-
-
-type Vec = V3 Integer
-data Planet = Planet { _pos :: Vec, _vel :: Vec} deriving (Show, Eq, Ord)
-type Planets = S.Set Planet
+import Linear (V3(..), V1(..), (^+^), (^-^))
+
+import qualified Data.Vector as V
+
+class (Ord a) => NVec a where
+    (^+^^) :: a -> a -> a
+    (^-^^) :: a -> a -> a
+    nvZero :: a
+    nvSignum :: a -> a
+    nvAbsSum :: a -> Integer
+instance NVec (V1 Integer) where
+    x ^+^^ y  = x ^+^ y
+    x ^-^^ y  = x ^-^ y
+    nvZero = V1 0
+    nvSignum (V1 x) = V1 (signum x)
+    nvAbsSum (V1 x) = abs x
+instance NVec (V3 Integer) where
+    x ^+^^ y  = x ^+^ y
+    x ^-^^ y  = x ^-^ y
+    nvZero = V3 0 0 0
+    nvSignum (V3 x y z) = V3 (signum x) (signum y) (signum z)
+    nvAbsSum (V3 x y z) = (abs x) + (abs y) + (abs z)
+
+
+data Planet a = Planet { _pos :: a , _vel :: a} deriving (Show, Eq, Ord)
+type Planets a = V.Vector (Planet a)
 
 
 main :: IO ()
 main = do 
-        text <- TIO.readFile "data/advent12a.txt"
+        text <- TIO.readFile "data/advent12.txt"
         let planetsT = successfulParse text
         let planets = enplanet planetsT
-        print planets
+        -- print planets
         print $ part1 planets
+        print $ part2 planets
 
+part1 :: Planets (V3 Integer) -> Integer
+part1 planets = systemEnergy $ head $ drop 1000 $ simulate planets
 
-part1 planets = take 12 $ simulate planets
+part2 :: Planets (V3 Integer) -> Integer
+part2 planets = period
+    where planetDimensions = unzipPlanets planets
+          simCounts = map countSimulate planetDimensions
+          period = foldl lcm 1 simCounts
 
 
-enplanet  = S.fromList . map (\p -> Planet {_pos = p, _vel = (V3 0 0 0)} )
+enplanet :: (NVec a) => [a] -> Planets a
+enplanet = V.fromList . map (\p -> Planet {_pos = p, _vel = nvZero} )
 
-_x (V3 x _ _) = x
-_y (V3 _ y _) = y
-_z (V3 _ _ z) = z
 
+unzipPlanets :: V.Vector (Planet (V3 Integer)) -> [V.Vector (Planet (V1 Integer))]
+unzipPlanets planets = dimensionSlice $ V.map unzipPlanet planets
 
-gravity (V3 x y z) = V3 (signum x) (signum y) (signum z)
+unzipPlanet :: Planet (V3 Integer) -> [Planet (V1 Integer)]
+unzipPlanet planet = map mkPlanet posVecs
+    where posVecs = unzipVec $ _pos planet
+          mkPlanet p = Planet {_pos = p, _vel = nvZero}
 
+unzipVec :: V3 Integer -> [V1 Integer]
+unzipVec (V3 x y z) = [V1 x, V1 y, V1 z]
 
+dimensionSlice :: (NVec a) => V.Vector [Planet a] -> [Planets a]
+dimensionSlice slicedPlanets = [sliceDim d | d <- [0..2]]
+    where sliceDim d = V.map (!!d) slicedPlanets
+
+
+
+simulate :: (NVec a) => Planets a -> [Planets a]
 simulate = iterate simulationStep 
 
+countSimulate :: (NVec a) => Planets a -> Integer
+countSimulate planets0 = go (simulationStep planets0) 1
+    where go planets n 
+            | planets0 == planets = n 
+            | otherwise = go (simulationStep planets) (n + 1)
+
+
+simulationStep :: (NVec a) => Planets a -> Planets a
 simulationStep planets = planets''
     where   planets' = applyGravity planets
             planets'' = applyVelocity planets'
 
 
-applyGravity planets = S.map (applyGravityHere planets) planets
+gravity :: (NVec a) => a -> a 
+gravity v = nvSignum v
+
+applyGravity :: (NVec a) => Planets a -> Planets a
+applyGravity planets = V.map (applyGravityHere planets) planets
 
-applyGravityHere planets here = S.foldl' updateGravity here planets
+applyGravityHere :: (NVec a) => Planets a -> Planet a -> Planet a
+applyGravityHere planets here = V.foldl' updateGravity here planets
 
+updateGravity :: (NVec a) => Planet a -> Planet a -> Planet a
 updateGravity here there = here { _vel = vel'}
     where   vel = _vel here
-            vel' = vel ^+^ gravity ((_pos there) ^-^ (_pos here))
+            vel' = vel ^+^^ gravity ((_pos there) ^-^^ (_pos here))
+
+applyVelocity :: (NVec a) => Planets a -> Planets a
+applyVelocity = V.map applyVelocityHere
+
+applyVelocityHere :: (NVec a) => Planet a  -> Planet a
+applyVelocityHere here = here {_pos = (_pos here) ^+^^ (_vel here)}
+
+
+
 
+-- absSum (Vec1 (V1 x)) = (abs x)
+-- absSum (Vec3 (V3 x y z)) = (abs x) + (abs y) + (abs z)
 
-applyVelocity = S.map applyVelocityHere
+potentalEnergy planet = nvAbsSum $ _pos planet
+kineticEnergy planet = nvAbsSum $ _vel planet
+totalEnergy planet = (potentalEnergy planet) * (kineticEnergy planet)
 
-applyVelocityHere here = here {_pos = (_pos here) ^+^ (_vel here)}
+systemEnergy = (V.foldl' (+) 0) . (V.map totalEnergy)
 
 
 
@@ -93,7 +152,8 @@ coordsP = envector <$> (coordP `sepBy` commaP)
 coordP = identifierP *> equalP *> signedInteger
 
 
-successfulParse :: Text -> [Vec]
+-- successfulParse :: Text -> [Vec]
+successfulParse :: Text -> [V3 Integer]
 successfulParse input = 
         case parse planetsP "input" input of
                 Left  _err -> [] -- TIO.putStr $ T.pack $ parseErrorPretty err