Add 'users/glittershark/xanthous/' from commit '53b56744f4'

git-subtree-dir: users/glittershark/xanthous
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git-subtree-split: 53b56744f4

users/glittershark/xanthous/src/Xanthous/Generators/CaveAutomata.hs

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+{-# LANGUAGE MultiWayIf #-}
+{-# LANGUAGE RecordWildCards #-}
+{-# LANGUAGE TemplateHaskell #-}
+--------------------------------------------------------------------------------
+module Xanthous.Generators.CaveAutomata
+  ( Params(..)
+  , defaultParams
+  , parseParams
+  , generate
+  ) where
+--------------------------------------------------------------------------------
+import           Xanthous.Prelude
+import           Control.Monad.Random (RandomGen, runRandT)
+import           Data.Array.ST
+import           Data.Array.Unboxed
+import qualified Options.Applicative as Opt
+--------------------------------------------------------------------------------
+import           Xanthous.Util (between)
+import           Xanthous.Util.Optparse
+import           Xanthous.Data (Dimensions, width, height)
+import           Xanthous.Generators.Util
+--------------------------------------------------------------------------------
+
+data Params = Params
+  { _aliveStartChance :: Double
+  , _birthLimit :: Word
+  , _deathLimit :: Word
+  , _steps :: Word
+  }
+  deriving stock (Show, Eq, Generic)
+makeLenses ''Params
+
+defaultParams :: Params
+defaultParams = Params
+  { _aliveStartChance = 0.6
+  , _birthLimit = 3
+  , _deathLimit = 4
+  , _steps = 4
+  }
+
+parseParams :: Opt.Parser Params
+parseParams = Params
+  <$> Opt.option parseChance
+      ( Opt.long "alive-start-chance"
+      <> Opt.value (defaultParams ^. aliveStartChance)
+      <> Opt.showDefault
+      <> Opt.help ( "Chance for each cell to start alive at the beginning of "
+                 <> "the cellular automata"
+                 )
+      <> Opt.metavar "CHANCE"
+      )
+  <*> Opt.option parseNeighbors
+      ( Opt.long "birth-limit"
+      <> Opt.value (defaultParams ^. birthLimit)
+      <> Opt.showDefault
+      <> Opt.help "Minimum neighbor count required for birth of a cell"
+      <> Opt.metavar "NEIGHBORS"
+      )
+  <*> Opt.option parseNeighbors
+      ( Opt.long "death-limit"
+      <> Opt.value (defaultParams ^. deathLimit)
+      <> Opt.showDefault
+      <> Opt.help "Maximum neighbor count required for death of a cell"
+      <> Opt.metavar "NEIGHBORS"
+      )
+  <*> Opt.option Opt.auto
+      ( Opt.long "steps"
+      <> Opt.value (defaultParams ^. steps)
+      <> Opt.showDefault
+      <> Opt.help "Number of generations to run the automata for"
+      <> Opt.metavar "STEPS"
+      )
+  where
+    parseChance = readWithGuard
+      (between 0 1)
+      $ \res -> "Chance must be in the range [0,1], got: " <> show res
+
+    parseNeighbors = readWithGuard
+      (between 0 8)
+      $ \res -> "Neighbors must be in the range [0,8], got: " <> show res
+
+generate :: RandomGen g => Params -> Dimensions -> g -> Cells
+generate params dims gen
+  = runSTUArray
+  $ fmap fst
+  $ flip runRandT gen
+  $ generate' params dims
+
+generate' :: RandomGen g => Params -> Dimensions -> CellM g s (MCells s)
+generate' params dims = do
+  cells <- randInitialize dims $ params ^. aliveStartChance
+  let steps' = params ^. steps
+  when (steps' > 0)
+   $ for_ [0 .. pred steps'] . const $ stepAutomata cells dims params
+  -- Remove all but the largest contiguous region of unfilled space
+  (_: smallerRegions) <- lift $ regions @UArray . amap not <$> freeze cells
+  lift $ fillAllM (fold smallerRegions) cells
+  lift $ fillOuterEdgesM cells
+  pure cells
+
+stepAutomata :: forall s g. MCells s -> Dimensions -> Params -> CellM g s ()
+stepAutomata cells dims params = do
+  origCells <- lift $ cloneMArray @_ @(STUArray s) cells
+  for_ (range ((0, 0), (dims ^. width, dims ^. height))) $ \pos -> do
+    neighs <- lift $ numAliveNeighborsM origCells pos
+    origValue <- lift $ readArray origCells pos
+    lift . writeArray cells pos
+      $ if origValue
+        then neighs >= params ^. deathLimit
+        else neighs > params ^. birthLimit

users/glittershark/xanthous/src/Xanthous/Generators/Dungeon.hs

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+{-# LANGUAGE TemplateHaskell #-}
+--------------------------------------------------------------------------------
+module Xanthous.Generators.Dungeon
+  ( Params(..)
+  , defaultParams
+  , parseParams
+  , generate
+  ) where
+--------------------------------------------------------------------------------
+import           Xanthous.Prelude hiding ((:>))
+--------------------------------------------------------------------------------
+import           Control.Monad.Random
+import           Data.Array.ST
+import           Data.Array.IArray (amap)
+import           Data.Stream.Infinite (Stream(..))
+import qualified Data.Stream.Infinite as Stream
+import qualified Data.Graph.Inductive.Graph as Graph
+import           Data.Graph.Inductive.PatriciaTree
+import qualified Data.List.NonEmpty as NE
+import           Data.Maybe (fromJust)
+import           Linear.V2
+import           Linear.Metric
+import qualified Options.Applicative as Opt
+--------------------------------------------------------------------------------
+import           Xanthous.Random
+import           Xanthous.Data hiding (x, y, _x, _y, edges)
+import           Xanthous.Generators.Util
+import           Xanthous.Util.Graphics (delaunay, straightLine)
+import           Xanthous.Util.Graph (mstSubGraph)
+--------------------------------------------------------------------------------
+
+data Params = Params
+  { _numRoomsRange :: (Word, Word)
+  , _roomDimensionRange :: (Word, Word)
+  , _connectednessRatioRange :: (Double, Double)
+  }
+  deriving stock (Show, Eq, Ord, Generic)
+makeLenses ''Params
+
+defaultParams :: Params
+defaultParams = Params
+  { _numRoomsRange = (6, 8)
+  , _roomDimensionRange = (3, 12)
+  , _connectednessRatioRange = (0.1, 0.15)
+  }
+
+parseParams :: Opt.Parser Params
+parseParams = Params
+  <$> parseRange
+        "num-rooms"
+        "number of rooms to generate in the dungeon"
+        "ROOMS"
+        (defaultParams ^. numRoomsRange)
+  <*> parseRange
+        "room-size"
+        "size in tiles of one of the sides of a room"
+        "TILES"
+        (defaultParams ^. roomDimensionRange)
+  <*> parseRange
+        "connectedness-ratio"
+        ( "ratio of edges from the delaunay triangulation to re-add to the "
+        <> "minimum-spanning-tree")
+        "RATIO"
+        (defaultParams ^. connectednessRatioRange)
+  <**> Opt.helper
+  where
+    parseRange name desc metavar (defMin, defMax) =
+      (,)
+      <$> Opt.option Opt.auto
+          ( Opt.long ("min-" <> name)
+          <> Opt.value defMin
+          <> Opt.showDefault
+          <> Opt.help ("Minimum " <> desc)
+          <> Opt.metavar metavar
+          )
+      <*> Opt.option Opt.auto
+          ( Opt.long ("max-" <> name)
+          <> Opt.value defMax
+          <> Opt.showDefault
+          <> Opt.help ("Maximum " <> desc)
+          <> Opt.metavar metavar
+          )
+
+generate :: RandomGen g => Params -> Dimensions -> g -> Cells
+generate params dims gen
+  = amap not
+  $ runSTUArray
+  $ fmap fst
+  $ flip runRandT gen
+  $ generate' params dims
+
+--------------------------------------------------------------------------------
+
+generate' :: RandomGen g => Params -> Dimensions -> CellM g s (MCells s)
+generate' params dims = do
+  cells <- initializeEmpty dims
+  rooms <- genRooms params dims
+  for_ rooms $ fillRoom cells
+
+  let fullRoomGraph = delaunayRoomGraph rooms
+      mst = mstSubGraph fullRoomGraph
+      mstEdges = Graph.edges mst
+      nonMSTEdges = filter (\(n₁, n₂, _) -> (n₁, n₂) `notElem` mstEdges)
+                    $ Graph.labEdges fullRoomGraph
+
+  reintroEdgeCount <- floor . (* fromIntegral (length nonMSTEdges))
+                     <$> getRandomR (params ^. connectednessRatioRange)
+  let reintroEdges = take reintroEdgeCount nonMSTEdges
+      corridorGraph = Graph.insEdges reintroEdges mst
+
+  corridors <- traverse
+              ( uncurry corridorBetween
+              . over both (fromJust . Graph.lab corridorGraph)
+              ) $ Graph.edges corridorGraph
+
+  for_ (join corridors) $ \pt -> lift $ writeArray cells pt True
+
+  pure cells
+
+type Room = Box Word
+
+genRooms :: MonadRandom m => Params -> Dimensions -> m [Room]
+genRooms params dims = do
+  numRooms <- fromIntegral <$> getRandomR (params ^. numRoomsRange)
+  subRand . fmap (Stream.take numRooms . removeIntersecting []) . infinitely $ do
+    roomWidth <- getRandomR $ params ^. roomDimensionRange
+    roomHeight <- getRandomR $ params ^. roomDimensionRange
+    xPos <- getRandomR (0, dims ^. width - roomWidth)
+    yPos <- getRandomR (0, dims ^. height - roomHeight)
+    pure Box
+      { _topLeftCorner = V2 xPos yPos
+      , _dimensions = V2 roomWidth roomHeight
+      }
+  where
+    removeIntersecting seen (room :> rooms)
+      | any (boxIntersects room) seen
+      = removeIntersecting seen rooms
+      | otherwise
+      = room :> removeIntersecting (room : seen) rooms
+    streamRepeat x = x :> streamRepeat x
+    infinitely = sequence . streamRepeat
+
+delaunayRoomGraph :: [Room] -> Gr Room Double
+delaunayRoomGraph rooms =
+  Graph.insEdges edges . Graph.insNodes nodes $ Graph.empty
+  where
+    edges = map (\((n₁, room₁), (n₂, room₂)) -> (n₁, n₂, roomDist room₁ room₂))
+          . over (mapped . both) snd
+          . delaunay @Double
+          . NE.fromList
+          . map (\p@(_, room) -> (boxCenter $ fromIntegral <$> room, p))
+          $ nodes
+    nodes = zip [0..] rooms
+    roomDist = distance `on` (boxCenter . fmap fromIntegral)
+
+fillRoom :: MCells s -> Room -> CellM g s ()
+fillRoom cells room =
+  let V2 posx posy = room ^. topLeftCorner
+      V2 dimx dimy = room ^. dimensions
+  in for_ [posx .. posx + dimx] $ \x ->
+       for_ [posy .. posy + dimy] $ \y ->
+         lift $ writeArray cells (x, y) True
+
+corridorBetween :: MonadRandom m => Room -> Room -> m [(Word, Word)]
+corridorBetween originRoom destinationRoom
+  = straightLine <$> origin <*> destination
+  where
+    origin = choose . NE.fromList . map toTuple =<< originEdge
+    destination = choose . NE.fromList . map toTuple =<< destinationEdge
+    originEdge = pickEdge originRoom originCorner
+    destinationEdge = pickEdge destinationRoom destinationCorner
+    pickEdge room corner = choose . over both (boxEdge room) $ cornerEdges corner
+    originCorner =
+      case ( compare (originRoom ^. topLeftCorner . _x)
+                     (destinationRoom ^. topLeftCorner . _x)
+           , compare (originRoom ^. topLeftCorner . _y)
+                     (destinationRoom ^. topLeftCorner . _y)
+           ) of
+        (LT, LT) -> BottomRight
+        (LT, GT) -> TopRight
+        (GT, LT) -> BottomLeft
+        (GT, GT) -> TopLeft
+
+        (EQ, LT) -> BottomLeft
+        (EQ, GT) -> TopRight
+        (GT, EQ) -> TopLeft
+        (LT, EQ) -> BottomRight
+        (EQ, EQ) -> TopLeft -- should never happen
+
+    destinationCorner = opposite originCorner
+    toTuple (V2 x y) = (x, y)

users/glittershark/xanthous/src/Xanthous/Generators/LevelContents.hs

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+--------------------------------------------------------------------------------
+module Xanthous.Generators.LevelContents
+  ( chooseCharacterPosition
+  , randomItems
+  , randomCreatures
+  , randomDoors
+  , placeDownStaircase
+  , tutorialMessage
+  ) where
+--------------------------------------------------------------------------------
+import           Xanthous.Prelude hiding (any, toList)
+--------------------------------------------------------------------------------
+import           Control.Monad.Random
+import           Data.Array.IArray (amap, bounds, rangeSize, (!))
+import qualified Data.Array.IArray as Arr
+import           Data.Foldable (any, toList)
+--------------------------------------------------------------------------------
+import           Xanthous.Generators.Util
+import           Xanthous.Random
+import           Xanthous.Data ( Position, _Position, positionFromPair
+                               , rotations, arrayNeighbors, Neighbors(..)
+                               , neighborPositions
+                               )
+import           Xanthous.Data.EntityMap (EntityMap, _EntityMap)
+import           Xanthous.Entities.Raws (rawsWithType, RawType)
+import qualified Xanthous.Entities.Item as Item
+import           Xanthous.Entities.Item (Item)
+import qualified Xanthous.Entities.Creature as Creature
+import           Xanthous.Entities.Creature (Creature)
+import           Xanthous.Entities.Environment
+                 (GroundMessage(..), Door(..), unlockedDoor, Staircase(..))
+import           Xanthous.Messages (message_)
+import           Xanthous.Util.Graphics (circle)
+--------------------------------------------------------------------------------
+
+chooseCharacterPosition :: MonadRandom m => Cells -> m Position
+chooseCharacterPosition = randomPosition
+
+randomItems :: MonadRandom m => Cells -> m (EntityMap Item)
+randomItems = randomEntities Item.newWithType (0.0004, 0.001)
+
+placeDownStaircase :: MonadRandom m => Cells -> m (EntityMap Staircase)
+placeDownStaircase cells = do
+  pos <- randomPosition cells
+  pure $ _EntityMap # [(pos, DownStaircase)]
+
+randomDoors :: MonadRandom m => Cells -> m (EntityMap Door)
+randomDoors cells = do
+  doorRatio <- getRandomR subsetRange
+  let numDoors = floor $ doorRatio * fromIntegral (length candidateCells)
+      doorPositions =
+        removeAdjacent . fmap positionFromPair . take numDoors $ candidateCells
+      doors = zip doorPositions $ repeat unlockedDoor
+  pure $ _EntityMap # doors
+  where
+    removeAdjacent =
+      foldr (\pos acc ->
+               if pos `elem` (acc >>= toList . neighborPositions)
+               then acc
+               else pos : acc
+            ) []
+    candidateCells = filter doorable $ Arr.indices cells
+    subsetRange = (0.8 :: Double, 1.0)
+    doorable pos =
+      not (fromMaybe True $ cells ^? ix pos)
+      && any (teeish . fmap (fromMaybe True))
+        (rotations $ arrayNeighbors cells pos)
+    -- only generate doors at the *ends* of hallways, eg (where O is walkable,
+    -- X is a wall, and D is a door):
+    --
+    -- O O O
+    -- X D X
+    --   O
+    teeish (fmap not -> (Neighbors tl t tr l r _ b _ )) =
+      and [tl, t, tr, b] && (and . fmap not) [l, r]
+
+randomCreatures :: MonadRandom m => Cells -> m (EntityMap Creature)
+randomCreatures = randomEntities Creature.newWithType (0.0007, 0.002)
+
+tutorialMessage :: MonadRandom m
+  => Cells
+  -> Position -- ^ CharacterPosition
+  -> m (EntityMap GroundMessage)
+tutorialMessage cells characterPosition = do
+  let distance = 2
+  pos <- fmap (fromMaybe (error "No valid positions for tutorial message?"))
+        . choose . ChooseElement
+        $ accessiblePositionsWithin distance cells characterPosition
+  msg <- message_ ["tutorial", "message1"]
+  pure $ _EntityMap # [(pos, GroundMessage msg)]
+  where
+    accessiblePositionsWithin :: Int -> Cells -> Position -> [Position]
+    accessiblePositionsWithin dist valid pos =
+      review _Position
+      <$> filter (\(px, py) -> not $ valid ! (fromIntegral px, fromIntegral py))
+          (circle (pos ^. _Position) dist)
+
+randomEntities
+  :: forall entity raw m. (MonadRandom m, RawType raw)
+  => (raw -> entity)
+  -> (Float, Float)
+  -> Cells
+  -> m (EntityMap entity)
+randomEntities newWithType sizeRange cells =
+  case fromNullable $ rawsWithType @raw of
+    Nothing -> pure mempty
+    Just raws -> do
+      let len = rangeSize $ bounds cells
+      (numEntities :: Int) <-
+        floor . (* fromIntegral len) <$> getRandomR sizeRange
+      entities <- for [0..numEntities] $ const $ do
+        pos <- randomPosition cells
+        raw <- choose raws
+        let entity = newWithType raw
+        pure (pos, entity)
+      pure $ _EntityMap # entities
+
+randomPosition :: MonadRandom m => Cells -> m Position
+randomPosition = fmap positionFromPair . choose . impureNonNull . cellCandidates
+
+-- cellCandidates :: Cells -> Cells
+cellCandidates :: Cells -> Set (Word, Word)
+cellCandidates
+  -- find the largest contiguous region of cells in the cave.
+  = maximumBy (compare `on` length)
+  . fromMaybe (error "No regions generated! this should never happen.")
+  . fromNullable
+  . regions
+  -- cells ends up with true = wall, we want true = can put an item here
+  . amap not

users/glittershark/xanthous/src/Xanthous/Generators/Util.hs

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+{-# LANGUAGE QuantifiedConstraints #-}
+{-# LANGUAGE AllowAmbiguousTypes #-}
+--------------------------------------------------------------------------------
+module Xanthous.Generators.Util
+  ( MCells
+  , Cells
+  , CellM
+  , randInitialize
+  , initializeEmpty
+  , numAliveNeighborsM
+  , numAliveNeighbors
+  , fillOuterEdgesM
+  , cloneMArray
+  , floodFill
+  , regions
+  , fillAll
+  , fillAllM
+  , fromPoints
+  , fromPointsM
+  ) where
+--------------------------------------------------------------------------------
+import           Xanthous.Prelude hiding (Foldable, toList, for_)
+import           Data.Array.ST
+import           Data.Array.Unboxed
+import           Control.Monad.ST
+import           Control.Monad.Random
+import           Data.Monoid
+import           Data.Foldable (Foldable, toList, for_)
+import qualified Data.Set as Set
+import           Data.Semigroup.Foldable
+--------------------------------------------------------------------------------
+import           Xanthous.Util (foldlMapM', maximum1, minimum1)
+import           Xanthous.Data (Dimensions, width, height)
+--------------------------------------------------------------------------------
+
+type MCells s = STUArray s (Word, Word) Bool
+type Cells = UArray (Word, Word) Bool
+type CellM g s a = RandT g (ST s) a
+
+randInitialize :: RandomGen g => Dimensions -> Double -> CellM g s (MCells s)
+randInitialize dims aliveChance = do
+  res <- initializeEmpty dims
+  for_ [0..dims ^. width] $ \i ->
+    for_ [0..dims ^. height] $ \j -> do
+      val <- (>= aliveChance) <$> getRandomR (0, 1)
+      lift $ writeArray res (i, j) val
+  pure res
+
+initializeEmpty :: RandomGen g => Dimensions -> CellM g s (MCells s)
+initializeEmpty dims =
+  lift $ newArray ((0, 0), (dims ^. width, dims ^. height)) False
+
+numAliveNeighborsM
+  :: forall a i j m
+  . (MArray a Bool m, Ix (i, j), Integral i, Integral j)
+  => a (i, j) Bool
+  -> (i, j)
+  -> m Word
+numAliveNeighborsM cells (x, y) = do
+  cellBounds <- getBounds cells
+  getSum <$> foldlMapM'
+    (fmap (Sum . fromIntegral . fromEnum) . boundedGet cellBounds)
+    neighborPositions
+
+  where
+    boundedGet :: ((i, j), (i, j)) -> (Int, Int) -> m Bool
+    boundedGet ((minX, minY), (maxX, maxY)) (i, j)
+      | x <= minX
+        || y <= minY
+        || x >= maxX
+        || y >= maxY
+      = pure True
+      | otherwise =
+        let nx = fromIntegral $ fromIntegral x + i
+            ny = fromIntegral $ fromIntegral y + j
+        in readArray cells (nx, ny)
+
+    neighborPositions :: [(Int, Int)]
+    neighborPositions = [(i, j) | i <- [-1..1], j <- [-1..1], (i, j) /= (0, 0)]
+
+numAliveNeighbors
+  :: forall a i j
+  . (IArray a Bool, Ix (i, j), Integral i, Integral j)
+  => a (i, j) Bool
+  -> (i, j)
+  -> Word
+numAliveNeighbors cells (x, y) =
+  let cellBounds = bounds cells
+  in getSum $ foldMap
+      (Sum . fromIntegral . fromEnum . boundedGet cellBounds)
+      neighborPositions
+
+  where
+    boundedGet :: ((i, j), (i, j)) -> (Int, Int) -> Bool
+    boundedGet ((minX, minY), (maxX, maxY)) (i, j)
+      | x <= minX
+        || y <= minY
+        || x >= maxX
+        || y >= maxY
+      = True
+      | otherwise =
+        let nx = fromIntegral $ fromIntegral x + i
+            ny = fromIntegral $ fromIntegral y + j
+        in cells ! (nx, ny)
+
+    neighborPositions :: [(Int, Int)]
+    neighborPositions = [(i, j) | i <- [-1..1], j <- [-1..1], (i, j) /= (0, 0)]
+
+fillOuterEdgesM :: (MArray a Bool m, Ix i, Ix j) => a (i, j) Bool -> m ()
+fillOuterEdgesM arr = do
+  ((minX, minY), (maxX, maxY)) <- getBounds arr
+  for_ (range (minX, maxX)) $ \x -> do
+    writeArray arr (x, minY) True
+    writeArray arr (x, maxY) True
+  for_ (range (minY, maxY)) $ \y -> do
+    writeArray arr (minX, y) True
+    writeArray arr (maxX, y) True
+
+cloneMArray
+  :: forall a a' i e m.
+  ( Ix i
+  , MArray a e m
+  , MArray a' e m
+  , IArray UArray e
+  )
+  => a i e
+  -> m (a' i e)
+cloneMArray = thaw @_ @UArray <=< freeze
+
+--------------------------------------------------------------------------------
+
+-- | Flood fill a cell array starting at a point, returning a list of all the
+-- (true) cell locations reachable from that point
+floodFill :: forall a i j.
+            ( IArray a Bool
+            , Ix (i, j)
+            , Enum i , Enum j
+            , Bounded i , Bounded j
+            , Eq i , Eq j
+            , Show i, Show j
+            )
+          => a (i, j) Bool -- ^ array
+          -> (i, j)        -- ^ position
+          -> Set (i, j)
+floodFill = go mempty
+  where
+    go :: Set (i, j) -> a (i, j) Bool -> (i, j) -> Set (i, j)
+    -- TODO pass result in rather than passing seen in, return result
+    go res arr@(bounds -> arrBounds) idx@(x, y)
+      | not (inRange arrBounds idx) =  res
+      | not (arr ! idx) =  res
+      | otherwise =
+        let neighbors
+              = filter (inRange arrBounds)
+              . filter (/= idx)
+              . filter (`notMember` res)
+              $ (,)
+              <$> [(if x == minBound then x else pred x)
+                   ..
+                   (if x == maxBound then x else succ x)]
+              <*> [(if y == minBound then y else pred y)
+                   ..
+                   (if y == maxBound then y else succ y)]
+        in foldl' (\r idx' ->
+                     if arr ! idx'
+                     then r <> go (r & contains idx' .~ True) arr idx'
+                     else r)
+           (res & contains idx .~ True) neighbors
+
+-- | Gives a list of all the disconnected regions in a cell array, represented
+-- each as lists of points
+regions :: forall a i j.
+          ( IArray a Bool
+          , Ix (i, j)
+          , Enum i , Enum j
+          , Bounded i , Bounded j
+          , Eq i , Eq j
+          , Show i, Show j
+          )
+        => a (i, j) Bool
+        -> [Set (i, j)]
+regions arr
+  | Just firstPoint <- findFirstPoint arr =
+      let region = floodFill arr firstPoint
+          arr' = fillAll region arr
+      in region : regions arr'
+  | otherwise = []
+  where
+    findFirstPoint :: a (i, j) Bool -> Maybe (i, j)
+    findFirstPoint = fmap fst . headMay . filter snd . assocs
+
+fillAll :: (IArray a Bool, Ix i, Foldable f) => f i -> a i Bool -> a i Bool
+fillAll ixes a = accum (const fst) a $ (, (False, ())) <$> toList ixes
+
+fillAllM :: (MArray a Bool m, Ix i, Foldable f) => f i -> a i Bool -> m ()
+fillAllM ixes a = for_ ixes $ \i -> writeArray a i False
+
+fromPoints
+  :: forall a f i.
+    ( IArray a Bool
+    , Ix i
+    , Functor f
+    , Foldable1 f
+    )
+  => f (i, i)
+  -> a (i, i) Bool
+fromPoints points =
+  let pts = Set.fromList $ toList points
+      dims = ( (minimum1 $ fst <$> points, minimum1 $ snd <$> points)
+             , (maximum1 $ fst <$> points, maximum1 $ snd <$> points)
+             )
+  in array dims $ range dims <&> \i -> (i, i `member` pts)
+
+fromPointsM
+  :: (MArray a Bool m, Ix i, Element f ~ i, MonoFoldable f)
+  => NonNull f
+  -> m (a i Bool)
+fromPointsM points = do
+  arr <- newArray (minimum points, maximum points) False
+  fillAllM (otoList points) arr
+  pure arr