Safe Haskell	Safe
Language	Haskell98

Math.SetCover.Cuboid

Synopsis

data Coords a = Coords a a a
coordsFromString :: [[String]] -> [Coords Int]
coordsFrom2LayerString :: [String] -> [Coords Int]
numberOf2LayerAtoms :: [[String]] -> Int
forNestedCoords :: (Enum a, Num a) => ([z] -> b) -> ([y] -> z) -> ([x] -> y) -> (Coords a -> x) -> Coords a -> b
newtype PackedCoords = PackedCoords Int
rotX :: Num a => Coords a -> Coords a
rotY :: Num a => Coords a -> Coords a
rotZ :: Num a => Coords a -> Coords a
primRotations :: Num a => Coords (Coords a -> Coords a)
rotations :: Num a => [Coords a -> Coords a]
rotationsGen :: Num a => Coords (Coords a -> Coords a) -> [Coords a -> Coords a]
type Size = Coords Int
unpackCoords :: Size -> PackedCoords -> Coords Int
packCoords :: Size -> Coords Int -> PackedCoords
normalForm :: (Ord a, Num a) => [Coords a] -> [Coords a]
size :: [Coords Int] -> Coords Int
move :: Coords Int -> [Coords Int] -> [Coords Int]
allPositions :: Size -> [Coords Int] -> [[Coords Int]]
allOrientations :: (Num a, Ord a) => [Coords a] -> [[Coords a]]
allOrientationsGen :: (Num a, Ord a) => Coords (Coords a -> Coords a) -> [Coords a] -> [[Coords a]]

Documentation

data Coords a Source #

Constructors

Coords a a a

Instances

Functor Coords Source #
Instance details Defined in Math.SetCover.Cuboid Methods fmap :: (a -> b) -> Coords a -> Coords b # (<$) :: a -> Coords b -> Coords a #
Applicative Coords Source #
Instance details Defined in Math.SetCover.Cuboid Methods pure :: a -> Coords a # (<>) :: Coords (a -> b) -> Coords a -> Coords b # liftA2 :: (a -> b -> c) -> Coords a -> Coords b -> Coords c # (>) :: Coords a -> Coords b -> Coords b # (<*) :: Coords a -> Coords b -> Coords a #
Foldable Coords Source #
Instance details Defined in Math.SetCover.Cuboid Methods fold :: Monoid m => Coords m -> m # foldMap :: Monoid m => (a -> m) -> Coords a -> m # foldr :: (a -> b -> b) -> b -> Coords a -> b # foldr' :: (a -> b -> b) -> b -> Coords a -> b # foldl :: (b -> a -> b) -> b -> Coords a -> b # foldl' :: (b -> a -> b) -> b -> Coords a -> b # foldr1 :: (a -> a -> a) -> Coords a -> a # foldl1 :: (a -> a -> a) -> Coords a -> a # toList :: Coords a -> [a] # null :: Coords a -> Bool # length :: Coords a -> Int # elem :: Eq a => a -> Coords a -> Bool # maximum :: Ord a => Coords a -> a # minimum :: Ord a => Coords a -> a # sum :: Num a => Coords a -> a # product :: Num a => Coords a -> a #
Traversable Coords Source #
Instance details Defined in Math.SetCover.Cuboid Methods traverse :: Applicative f => (a -> f b) -> Coords a -> f (Coords b) # sequenceA :: Applicative f => Coords (f a) -> f (Coords a) # mapM :: Monad m => (a -> m b) -> Coords a -> m (Coords b) # sequence :: Monad m => Coords (m a) -> m (Coords a) #
Eq a => Eq (Coords a) Source #
Instance details Defined in Math.SetCover.Cuboid Methods (==) :: Coords a -> Coords a -> Bool # (/=) :: Coords a -> Coords a -> Bool #
Ord a => Ord (Coords a) Source #
Instance details Defined in Math.SetCover.Cuboid Methods compare :: Coords a -> Coords a -> Ordering # (<) :: Coords a -> Coords a -> Bool # (<=) :: Coords a -> Coords a -> Bool # (>) :: Coords a -> Coords a -> Bool # (>=) :: Coords a -> Coords a -> Bool # max :: Coords a -> Coords a -> Coords a # min :: Coords a -> Coords a -> Coords a #
Show a => Show (Coords a) Source #
Instance details Defined in Math.SetCover.Cuboid Methods showsPrec :: Int -> Coords a -> ShowS # show :: Coords a -> String # showList :: [Coords a] -> ShowS #

coordsFromString :: [[String]] -> [Coords Int] Source #

coordsFrom2LayerString :: [String] -> [Coords Int] Source #

numberOf2LayerAtoms :: [[String]] -> Int Source #

forNestedCoords :: (Enum a, Num a) => ([z] -> b) -> ([y] -> z) -> ([x] -> y) -> (Coords a -> x) -> Coords a -> b Source #

newtype PackedCoords Source #

Constructors

PackedCoords Int

Instances

Eq PackedCoords Source #
Instance details Defined in Math.SetCover.Cuboid Methods (==) :: PackedCoords -> PackedCoords -> Bool # (/=) :: PackedCoords -> PackedCoords -> Bool #
Ord PackedCoords Source #
Instance details Defined in Math.SetCover.Cuboid Methods compare :: PackedCoords -> PackedCoords -> Ordering # (<) :: PackedCoords -> PackedCoords -> Bool # (<=) :: PackedCoords -> PackedCoords -> Bool # (>) :: PackedCoords -> PackedCoords -> Bool # (>=) :: PackedCoords -> PackedCoords -> Bool # max :: PackedCoords -> PackedCoords -> PackedCoords # min :: PackedCoords -> PackedCoords -> PackedCoords #
Show PackedCoords Source #
Instance details Defined in Math.SetCover.Cuboid Methods showsPrec :: Int -> PackedCoords -> ShowS # show :: PackedCoords -> String # showList :: [PackedCoords] -> ShowS #

rotX :: Num a => Coords a -> Coords a Source #

rotY :: Num a => Coords a -> Coords a Source #

rotZ :: Num a => Coords a -> Coords a Source #

primRotations :: Num a => Coords (Coords a -> Coords a) Source #

rotations :: Num a => [Coords a -> Coords a] Source #

rotationsGen :: Num a => Coords (Coords a -> Coords a) -> [Coords a -> Coords a] Source #

type Size = Coords Int Source #

unpackCoords :: Size -> PackedCoords -> Coords Int Source #

packCoords :: Size -> Coords Int -> PackedCoords Source #

normalForm :: (Ord a, Num a) => [Coords a] -> [Coords a] Source #

size :: [Coords Int] -> Coords Int Source #

Object must be in normalForm.

move :: Coords Int -> [Coords Int] -> [Coords Int] Source #

allPositions :: Size -> [Coords Int] -> [[Coords Int]] Source #

allOrientations :: (Num a, Ord a) => [Coords a] -> [[Coords a]] Source #

allOrientationsGen :: (Num a, Ord a) => Coords (Coords a -> Coords a) -> [Coords a] -> [[Coords a]] Source #