2022/10/Main.idr

152 lines
4.5 KiB
Idris

import Data.Vect
import Data.Fin
import Data.String
import Data.List
import System.File.ReadWrite
data Operation = Noop | Addx Int
%name Operation op
Show Operation where
show Noop = "Noop"
show (Addx i) = "Addx " ++ show i
cycles : Operation -> Nat
cycles Noop = 0
cycles (Addx i) = 1
parseOp : String -> Maybe Operation
parseOp str =
case map trim . words $ str of
["noop"] => Just Noop
["addx", val] => do val <- parseInteger val
pure (Addx val)
_ => Nothing
parseOps : String -> Maybe (List Operation)
parseOps str = traverse parseOp (lines str)
data Pixel = On | Off
%name Pixel pixel
Show Pixel where
show On = "#"
show Off = " "
record State where
constructor MkState
cycle : Nat
xRegister : Int
waitCycles : Nat
waitingOp : Maybe Operation
%name State state
Show State where
show (MkState cycle xRegister waitCycles waitingOp) =
"Cycle: " ++ show cycle ++ " X: " ++ show xRegister ++ " waitingOp: " ++ show waitingOp
startState : State
startState = MkState 0 1 0 Nothing
isWaiting : State -> Bool
isWaiting (MkState cycle xRegister waitCycles Nothing) = False
isWaiting (MkState cycle xRegister waitCycles (Just x)) = True
-- Tick the CPU, taking an operation off the stack if needed
tick : State -> List Operation -> (State, List Operation)
tick (MkState cycle xRegister 0 Nothing) [] =
(MkState (S cycle) xRegister 0 Nothing, [])
tick (MkState cycle xRegister 0 (Just Noop)) [] =
(MkState (S cycle) xRegister 0 Nothing, [])
tick (MkState cycle xRegister 0 (Just (Addx i))) [] =
(MkState (S cycle) (xRegister + i) 0 Nothing, [])
tick (MkState cycle xRegister (S k) waitingOp) [] =
(MkState (S cycle) xRegister k waitingOp, [])
tick (MkState cycle xRegister 0 Nothing) (x :: xs) =
(MkState (S cycle) xRegister (cycles x) (Just x), xs)
tick (MkState cycle xRegister 0 (Just Noop)) (x :: xs) =
(MkState (S cycle) xRegister (cycles x) (Just x), xs)
tick (MkState cycle xRegister 0 (Just (Addx i))) (x :: xs) =
(MkState (S cycle) (xRegister + i) (cycles x) (Just x), xs)
tick (MkState cycle xRegister (S k) waitingOp) rest@(x :: xs) =
(MkState (S cycle) xRegister k waitingOp, rest)
tickMultiple : State -> List Operation -> List State
tickMultiple state [] =
if isWaiting state
then let (newState, rest) = tick state []
tail = tickMultiple newState rest
in state :: tail
else [state]
tickMultiple state ops@(x :: xs) =
let (newState, rest) = tick state ops
tail = tickMultiple newState rest
in state :: tail
data CRT : Type where
MkCrt : Vect 6 (Vect 40 Pixel) -> CRT
%name CRT crt
Show CRT where
show (MkCrt xs) =
let rows = map (concatMap show) xs
in joinBy "\n" (toList rows)
emptyCrt : CRT
emptyCrt = MkCrt (replicate _ (replicate _ Off))
applyState : CRT -> State -> CRT
applyState (MkCrt xs) (MkState 0 xRegister waitCycles waitingOp) = MkCrt xs
applyState (MkCrt xs) (MkState cycle@(S k) xRegister waitCycles waitingOp) =
let crtPos = k `mod` 40
crtRow = k `div` 40
xDiff = xRegister - (cast crtPos)
in case (natToFin crtRow 6, natToFin crtPos 40) of
(Just row, Just col) =>
if abs xDiff <= 1
then let oldRow = index row xs
newRow = replaceAt col On oldRow
newXs = replaceAt row newRow xs
in MkCrt newXs
else MkCrt xs
_ => MkCrt xs
indexes : List Nat -> List a -> Maybe (List (Nat, a))
indexes [] xs = Just []
indexes (x :: ys) xs =
do idx <- natToFin x (length xs)
let value = index' xs idx
rest <- indexes ys xs
pure ((x, value) :: rest)
cycle : (start : Nat) -> (inc : Nat) -> (end : Nat) -> List Nat
cycle start inc end =
if start >= end
then []
else start :: cycle (assert_smaller start (start + inc)) inc end
part1 : List Operation -> Maybe Int
part1 ops =
let states = tickMultiple startState ops in
do selectedStates <- indexes (cycle 20 40 (length states)) states
let totalSignal = sum . map (\x => (xRegister x) * (cast (cycle x))) . map snd $ selectedStates
pure totalSignal
part2 : List Operation -> CRT
part2 ops =
let states = tickMultiple startState ops
in foldl applyState emptyCrt states
main : IO ()
main =
do Right file <- readFile "input"
| Left err => printLn err
Just ops <- pure (parseOps file)
| Nothing => putStrLn "Error parsing ops"
Just part1Result <- pure (part1 ops)
| Nothing => putStrLn "Error in part1"
putStrLn ("Part 1: " ++ show part1Result)
let part2Result = part2 ops
putStrLn "\nPart 2:"
printLn part2Result