Math.Geometry.Grid.Hexagonal2

Same as Hexagonal, except the grids are oriented so that the flat part of the hexagonal tiles is on the top. The userguide, with illustrations, is available at https://github.com/mhwombat/grid/wiki. Also see Math.Geometry.Grid for examples of how to use this class.

Unbounded grid with hexagonal tiles

data UnboundedHexGrid

An unbounded grid with hexagonal tiles The grid and its indexing scheme are illustrated in the user guide, available at https://github.com/mhwombat/grid/wiki.

Constructors

UnboundedHexGrid

Instances

Eq UnboundedHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Methods

(==) :: UnboundedHexGrid -> UnboundedHexGrid -> Bool

(/=) :: UnboundedHexGrid -> UnboundedHexGrid -> Bool

Show UnboundedHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Methods

showsPrec :: Int -> UnboundedHexGrid -> ShowS

show :: UnboundedHexGrid -> String

showList :: [UnboundedHexGrid] -> ShowS

Generic UnboundedHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Rep UnboundedHexGrid :: Type -> Type

Methods

from :: UnboundedHexGrid -> Rep UnboundedHexGrid x

to :: Rep UnboundedHexGrid x -> UnboundedHexGrid

Grid UnboundedHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Index UnboundedHexGrid

type Direction UnboundedHexGrid

Methods

indices :: UnboundedHexGrid -> [Index UnboundedHexGrid]

distance :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> Int

minDistance :: UnboundedHexGrid -> [Index UnboundedHexGrid] -> Index UnboundedHexGrid -> Int

neighbours :: UnboundedHexGrid -> Index UnboundedHexGrid -> [Index UnboundedHexGrid]

neighboursOfSet :: UnboundedHexGrid -> [Index UnboundedHexGrid] -> [Index UnboundedHexGrid]

neighbour :: UnboundedHexGrid -> Index UnboundedHexGrid -> Direction UnboundedHexGrid -> Maybe (Index UnboundedHexGrid)

numNeighbours :: UnboundedHexGrid -> Index UnboundedHexGrid -> Int

contains :: UnboundedHexGrid -> Index UnboundedHexGrid -> Bool

tileCount :: UnboundedHexGrid -> Int

null :: UnboundedHexGrid -> Bool

nonNull :: UnboundedHexGrid -> Bool

edges :: UnboundedHexGrid -> [(Index UnboundedHexGrid, Index UnboundedHexGrid)]

viewpoint :: UnboundedHexGrid -> Index UnboundedHexGrid -> [(Index UnboundedHexGrid, Int)]

isAdjacent :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> Bool

adjacentTilesToward :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> [Index UnboundedHexGrid]

minimalPaths :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> [[Index UnboundedHexGrid]]

directionTo :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> [Direction UnboundedHexGrid]

defaultMinDistance :: UnboundedHexGrid -> [Index UnboundedHexGrid] -> Index UnboundedHexGrid -> Int

defaultNeighbours :: UnboundedHexGrid -> Index UnboundedHexGrid -> [Index UnboundedHexGrid]

defaultNeighboursOfSet :: UnboundedHexGrid -> [Index UnboundedHexGrid] -> [Index UnboundedHexGrid]

defaultNeighbour :: UnboundedHexGrid -> Index UnboundedHexGrid -> Direction UnboundedHexGrid -> Maybe (Index UnboundedHexGrid)

defaultTileCount :: UnboundedHexGrid -> Int

defaultEdges :: UnboundedHexGrid -> [(Index UnboundedHexGrid, Index UnboundedHexGrid)]

defaultIsAdjacent :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> Bool

defaultAdjacentTilesToward :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> [Index UnboundedHexGrid]

defaultMinimalPaths :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> [[Index UnboundedHexGrid]]

type Rep UnboundedHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

type Rep UnboundedHexGrid = D1 ('MetaData "UnboundedHexGrid" "Math.Geometry.Grid.HexagonalInternal2" "grid-7.8.15-inplace" 'False) (C1 ('MetaCons "UnboundedHexGrid" 'PrefixI 'False) (U1 :: Type -> Type))

type Index UnboundedHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

type Index UnboundedHexGrid = (Int, Int)

type Direction UnboundedHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

type Direction UnboundedHexGrid = HexDirection

Hexagonal grid with hexagonal tiles

data HexHexGrid

A hexagonal grid with hexagonal tiles The grid and its indexing scheme are illustrated in the user guide, available at https://github.com/mhwombat/grid/wiki.

Instances

Eq HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Methods

(==) :: HexHexGrid -> HexHexGrid -> Bool

(/=) :: HexHexGrid -> HexHexGrid -> Bool

Show HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Methods

showsPrec :: Int -> HexHexGrid -> ShowS

show :: HexHexGrid -> String

showList :: [HexHexGrid] -> ShowS

Generic HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Rep HexHexGrid :: Type -> Type

Methods

from :: HexHexGrid -> Rep HexHexGrid x

to :: Rep HexHexGrid x -> HexHexGrid

BoundedGrid HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Methods

tileSideCount :: HexHexGrid -> Int

boundary :: HexHexGrid -> [Index HexHexGrid]

isBoundary :: HexHexGrid -> Index HexHexGrid -> Bool

centre :: HexHexGrid -> [Index HexHexGrid]

isCentre :: HexHexGrid -> Index HexHexGrid -> Bool

defaultBoundary :: HexHexGrid -> [Index HexHexGrid]

defaultIsBoundary :: HexHexGrid -> Index HexHexGrid -> Bool

defaultCentre :: HexHexGrid -> [Index HexHexGrid]

defaultIsCentre :: HexHexGrid -> Index HexHexGrid -> Bool

FiniteGrid HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Size HexHexGrid

Methods

size :: HexHexGrid -> Size HexHexGrid

maxPossibleDistance :: HexHexGrid -> Int

Grid HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Index HexHexGrid

type Direction HexHexGrid

Methods

indices :: HexHexGrid -> [Index HexHexGrid]

distance :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> Int

minDistance :: HexHexGrid -> [Index HexHexGrid] -> Index HexHexGrid -> Int

neighbours :: HexHexGrid -> Index HexHexGrid -> [Index HexHexGrid]

neighboursOfSet :: HexHexGrid -> [Index HexHexGrid] -> [Index HexHexGrid]

neighbour :: HexHexGrid -> Index HexHexGrid -> Direction HexHexGrid -> Maybe (Index HexHexGrid)

numNeighbours :: HexHexGrid -> Index HexHexGrid -> Int

contains :: HexHexGrid -> Index HexHexGrid -> Bool

tileCount :: HexHexGrid -> Int

null :: HexHexGrid -> Bool

nonNull :: HexHexGrid -> Bool

edges :: HexHexGrid -> [(Index HexHexGrid, Index HexHexGrid)]

viewpoint :: HexHexGrid -> Index HexHexGrid -> [(Index HexHexGrid, Int)]

isAdjacent :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> Bool

adjacentTilesToward :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> [Index HexHexGrid]

minimalPaths :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> [[Index HexHexGrid]]

directionTo :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> [Direction HexHexGrid]

defaultMinDistance :: HexHexGrid -> [Index HexHexGrid] -> Index HexHexGrid -> Int

defaultNeighbours :: HexHexGrid -> Index HexHexGrid -> [Index HexHexGrid]

defaultNeighboursOfSet :: HexHexGrid -> [Index HexHexGrid] -> [Index HexHexGrid]

defaultNeighbour :: HexHexGrid -> Index HexHexGrid -> Direction HexHexGrid -> Maybe (Index HexHexGrid)

defaultTileCount :: HexHexGrid -> Int

defaultEdges :: HexHexGrid -> [(Index HexHexGrid, Index HexHexGrid)]

defaultIsAdjacent :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> Bool

defaultAdjacentTilesToward :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> [Index HexHexGrid]

defaultMinimalPaths :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> [[Index HexHexGrid]]

type Rep HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

type Rep HexHexGrid = D1 ('MetaData "HexHexGrid" "Math.Geometry.Grid.HexagonalInternal2" "grid-7.8.15-inplace" 'False) (C1 ('MetaCons "HexHexGrid" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 Int) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [(Int, Int)])))

type Size HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

type Size HexHexGrid = Int

type Index HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

type Index HexHexGrid = (Int, Int)

type Direction HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

type Direction HexHexGrid = HexDirection

hexHexGrid :: Int -> HexHexGrid

hexHexGrid s returns a grid of hexagonal shape, with sides of length s, using hexagonal tiles. If s is nonnegative, the resulting grid will have 3*s*(s-1) + 1 tiles. Otherwise, the resulting grid will be null and the list of indices will be null.

Rectangular grid with hexagonal tiles

data RectHexGrid

A rectangular grid with hexagonal tiles The grid and its indexing scheme are illustrated in the user guide, available at https://github.com/mhwombat/grid/wiki.

Instances

Eq RectHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Methods

(==) :: RectHexGrid -> RectHexGrid -> Bool

(/=) :: RectHexGrid -> RectHexGrid -> Bool

Show RectHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Methods

showsPrec :: Int -> RectHexGrid -> ShowS

show :: RectHexGrid -> String

showList :: [RectHexGrid] -> ShowS

Generic RectHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Rep RectHexGrid :: Type -> Type

Methods

from :: RectHexGrid -> Rep RectHexGrid x

to :: Rep RectHexGrid x -> RectHexGrid

BoundedGrid RectHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Methods

tileSideCount :: RectHexGrid -> Int

boundary :: RectHexGrid -> [Index RectHexGrid]

isBoundary :: RectHexGrid -> Index RectHexGrid -> Bool

centre :: RectHexGrid -> [Index RectHexGrid]

isCentre :: RectHexGrid -> Index RectHexGrid -> Bool

defaultBoundary :: RectHexGrid -> [Index RectHexGrid]

defaultIsBoundary :: RectHexGrid -> Index RectHexGrid -> Bool

defaultCentre :: RectHexGrid -> [Index RectHexGrid]

defaultIsCentre :: RectHexGrid -> Index RectHexGrid -> Bool

FiniteGrid RectHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Size RectHexGrid

Methods

size :: RectHexGrid -> Size RectHexGrid

maxPossibleDistance :: RectHexGrid -> Int

Grid RectHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Index RectHexGrid

type Direction RectHexGrid

Methods

indices :: RectHexGrid -> [Index RectHexGrid]

distance :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> Int

minDistance :: RectHexGrid -> [Index RectHexGrid] -> Index RectHexGrid -> Int

neighbours :: RectHexGrid -> Index RectHexGrid -> [Index RectHexGrid]

neighboursOfSet :: RectHexGrid -> [Index RectHexGrid] -> [Index RectHexGrid]

neighbour :: RectHexGrid -> Index RectHexGrid -> Direction RectHexGrid -> Maybe (Index RectHexGrid)

numNeighbours :: RectHexGrid -> Index RectHexGrid -> Int

contains :: RectHexGrid -> Index RectHexGrid -> Bool

tileCount :: RectHexGrid -> Int

null :: RectHexGrid -> Bool

nonNull :: RectHexGrid -> Bool

edges :: RectHexGrid -> [(Index RectHexGrid, Index RectHexGrid)]

viewpoint :: RectHexGrid -> Index RectHexGrid -> [(Index RectHexGrid, Int)]

isAdjacent :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> Bool

adjacentTilesToward :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> [Index RectHexGrid]

minimalPaths :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> [[Index RectHexGrid]]

directionTo :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> [Direction RectHexGrid]

defaultMinDistance :: RectHexGrid -> [Index RectHexGrid] -> Index RectHexGrid -> Int

defaultNeighbours :: RectHexGrid -> Index RectHexGrid -> [Index RectHexGrid]

defaultNeighboursOfSet :: RectHexGrid -> [Index RectHexGrid] -> [Index RectHexGrid]

defaultNeighbour :: RectHexGrid -> Index RectHexGrid -> Direction RectHexGrid -> Maybe (Index RectHexGrid)

defaultTileCount :: RectHexGrid -> Int

defaultEdges :: RectHexGrid -> [(Index RectHexGrid, Index RectHexGrid)]

defaultIsAdjacent :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> Bool

defaultAdjacentTilesToward :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> [Index RectHexGrid]

defaultMinimalPaths :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> [[Index RectHexGrid]]

type Rep RectHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

type Rep RectHexGrid = D1 ('MetaData "RectHexGrid" "Math.Geometry.Grid.HexagonalInternal2" "grid-7.8.15-inplace" 'False) (C1 ('MetaCons "RectHexGrid" 'PrefixI 'False) (S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Int, Int)) :*: S1 ('MetaSel ('Nothing :: Maybe Symbol) 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 [(Int, Int)])))

type Size RectHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

type Size RectHexGrid = (Int, Int)

type Index RectHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

type Index RectHexGrid = (Int, Int)

type Direction RectHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

type Direction RectHexGrid = HexDirection

rectHexGrid :: Int -> Int -> RectHexGrid

rectHexGrid r c returns a grid in the shape of a parallelogram with r rows and c columns, using hexagonal tiles. If r and c are both nonnegative, the resulting grid will have r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.