Copyright	(c) Amy de Buitléir 2012-2019
License	BSD-style
Maintainer	amy@nualeargais.ie
Stability	experimental
Portability	portable
Safe Haskell	Safe-Inferred
Language	Haskell2010

Math.Geometry.Grid.Hexagonal2

Contents

Unbounded grid with hexagonal tiles
Hexagonal grid with hexagonal tiles
Rectangular grid with hexagonal tiles

Description

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.

Synopsis

data UnboundedHexGrid = UnboundedHexGrid
data HexHexGrid
hexHexGrid :: Int -> HexHexGrid
data RectHexGrid
rectHexGrid :: Int -> Int -> RectHexGrid

Unbounded grid with hexagonal tiles

data UnboundedHexGrid Source #

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

Instances details

Eq UnboundedHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Methods (==) :: UnboundedHexGrid -> UnboundedHexGrid -> Bool # (/=) :: UnboundedHexGrid -> UnboundedHexGrid -> Bool #
Show UnboundedHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Methods showsPrec :: Int -> UnboundedHexGrid -> ShowS # show :: UnboundedHexGrid -> String # showList :: [UnboundedHexGrid] -> ShowS #
Generic UnboundedHexGrid Source #
Instance details 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 Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Associated Types type Index UnboundedHexGrid Source # type Direction UnboundedHexGrid Source # Methods indices :: UnboundedHexGrid -> [Index UnboundedHexGrid] Source # distance :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> Int Source # minDistance :: UnboundedHexGrid -> [Index UnboundedHexGrid] -> Index UnboundedHexGrid -> Int Source # neighbours :: UnboundedHexGrid -> Index UnboundedHexGrid -> [Index UnboundedHexGrid] Source # neighboursOfSet :: UnboundedHexGrid -> [Index UnboundedHexGrid] -> [Index UnboundedHexGrid] Source # neighbour :: UnboundedHexGrid -> Index UnboundedHexGrid -> Direction UnboundedHexGrid -> Maybe (Index UnboundedHexGrid) Source # numNeighbours :: UnboundedHexGrid -> Index UnboundedHexGrid -> Int Source # contains :: UnboundedHexGrid -> Index UnboundedHexGrid -> Bool Source # tileCount :: UnboundedHexGrid -> Int Source # null :: UnboundedHexGrid -> Bool Source # nonNull :: UnboundedHexGrid -> Bool Source # edges :: UnboundedHexGrid -> [(Index UnboundedHexGrid, Index UnboundedHexGrid)] Source # viewpoint :: UnboundedHexGrid -> Index UnboundedHexGrid -> [(Index UnboundedHexGrid, Int)] Source # isAdjacent :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> Bool Source # adjacentTilesToward :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> [Index UnboundedHexGrid] Source # minimalPaths :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> [[Index UnboundedHexGrid]] Source # directionTo :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> [Direction UnboundedHexGrid] Source # defaultMinDistance :: UnboundedHexGrid -> [Index UnboundedHexGrid] -> Index UnboundedHexGrid -> Int Source # defaultNeighbours :: UnboundedHexGrid -> Index UnboundedHexGrid -> [Index UnboundedHexGrid] Source # defaultNeighboursOfSet :: UnboundedHexGrid -> [Index UnboundedHexGrid] -> [Index UnboundedHexGrid] Source # defaultNeighbour :: UnboundedHexGrid -> Index UnboundedHexGrid -> Direction UnboundedHexGrid -> Maybe (Index UnboundedHexGrid) Source # defaultTileCount :: UnboundedHexGrid -> Int Source # defaultEdges :: UnboundedHexGrid -> [(Index UnboundedHexGrid, Index UnboundedHexGrid)] Source # defaultIsAdjacent :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> Bool Source # defaultAdjacentTilesToward :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> [Index UnboundedHexGrid] Source # defaultMinimalPaths :: UnboundedHexGrid -> Index UnboundedHexGrid -> Index UnboundedHexGrid -> [[Index UnboundedHexGrid]] Source #
type Rep UnboundedHexGrid Source #
Instance details 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 Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 type Index UnboundedHexGrid = (Int, Int)
type Direction UnboundedHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 type Direction UnboundedHexGrid = HexDirection

Hexagonal grid with hexagonal tiles

data HexHexGrid Source #

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

Instances details

Eq HexHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Methods (==) :: HexHexGrid -> HexHexGrid -> Bool # (/=) :: HexHexGrid -> HexHexGrid -> Bool #
Show HexHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Methods showsPrec :: Int -> HexHexGrid -> ShowS # show :: HexHexGrid -> String # showList :: [HexHexGrid] -> ShowS #
Generic HexHexGrid Source #
Instance details 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 Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Methods tileSideCount :: HexHexGrid -> Int Source # boundary :: HexHexGrid -> [Index HexHexGrid] Source # isBoundary :: HexHexGrid -> Index HexHexGrid -> Bool Source # centre :: HexHexGrid -> [Index HexHexGrid] Source # isCentre :: HexHexGrid -> Index HexHexGrid -> Bool Source # defaultBoundary :: HexHexGrid -> [Index HexHexGrid] Source # defaultIsBoundary :: HexHexGrid -> Index HexHexGrid -> Bool Source # defaultCentre :: HexHexGrid -> [Index HexHexGrid] Source # defaultIsCentre :: HexHexGrid -> Index HexHexGrid -> Bool Source #
FiniteGrid HexHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Associated Types type Size HexHexGrid Source # Methods size :: HexHexGrid -> Size HexHexGrid Source # maxPossibleDistance :: HexHexGrid -> Int Source #
Grid HexHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Associated Types type Index HexHexGrid Source # type Direction HexHexGrid Source # Methods indices :: HexHexGrid -> [Index HexHexGrid] Source # distance :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> Int Source # minDistance :: HexHexGrid -> [Index HexHexGrid] -> Index HexHexGrid -> Int Source # neighbours :: HexHexGrid -> Index HexHexGrid -> [Index HexHexGrid] Source # neighboursOfSet :: HexHexGrid -> [Index HexHexGrid] -> [Index HexHexGrid] Source # neighbour :: HexHexGrid -> Index HexHexGrid -> Direction HexHexGrid -> Maybe (Index HexHexGrid) Source # numNeighbours :: HexHexGrid -> Index HexHexGrid -> Int Source # contains :: HexHexGrid -> Index HexHexGrid -> Bool Source # tileCount :: HexHexGrid -> Int Source # null :: HexHexGrid -> Bool Source # nonNull :: HexHexGrid -> Bool Source # edges :: HexHexGrid -> [(Index HexHexGrid, Index HexHexGrid)] Source # viewpoint :: HexHexGrid -> Index HexHexGrid -> [(Index HexHexGrid, Int)] Source # isAdjacent :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> Bool Source # adjacentTilesToward :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> [Index HexHexGrid] Source # minimalPaths :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> [[Index HexHexGrid]] Source # directionTo :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> [Direction HexHexGrid] Source # defaultMinDistance :: HexHexGrid -> [Index HexHexGrid] -> Index HexHexGrid -> Int Source # defaultNeighbours :: HexHexGrid -> Index HexHexGrid -> [Index HexHexGrid] Source # defaultNeighboursOfSet :: HexHexGrid -> [Index HexHexGrid] -> [Index HexHexGrid] Source # defaultNeighbour :: HexHexGrid -> Index HexHexGrid -> Direction HexHexGrid -> Maybe (Index HexHexGrid) Source # defaultTileCount :: HexHexGrid -> Int Source # defaultEdges :: HexHexGrid -> [(Index HexHexGrid, Index HexHexGrid)] Source # defaultIsAdjacent :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> Bool Source # defaultAdjacentTilesToward :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> [Index HexHexGrid] Source # defaultMinimalPaths :: HexHexGrid -> Index HexHexGrid -> Index HexHexGrid -> [[Index HexHexGrid]] Source #
type Rep HexHexGrid Source #
Instance details 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 Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 type Size HexHexGrid = Int
type Index HexHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 type Index HexHexGrid = (Int, Int)
type Direction HexHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 type Direction HexHexGrid = HexDirection

hexHexGrid :: Int -> HexHexGrid Source #

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 Source #

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

Instances details

Eq RectHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Methods (==) :: RectHexGrid -> RectHexGrid -> Bool # (/=) :: RectHexGrid -> RectHexGrid -> Bool #
Show RectHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Methods showsPrec :: Int -> RectHexGrid -> ShowS # show :: RectHexGrid -> String # showList :: [RectHexGrid] -> ShowS #
Generic RectHexGrid Source #
Instance details 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 Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Methods tileSideCount :: RectHexGrid -> Int Source # boundary :: RectHexGrid -> [Index RectHexGrid] Source # isBoundary :: RectHexGrid -> Index RectHexGrid -> Bool Source # centre :: RectHexGrid -> [Index RectHexGrid] Source # isCentre :: RectHexGrid -> Index RectHexGrid -> Bool Source # defaultBoundary :: RectHexGrid -> [Index RectHexGrid] Source # defaultIsBoundary :: RectHexGrid -> Index RectHexGrid -> Bool Source # defaultCentre :: RectHexGrid -> [Index RectHexGrid] Source # defaultIsCentre :: RectHexGrid -> Index RectHexGrid -> Bool Source #
FiniteGrid RectHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Associated Types type Size RectHexGrid Source # Methods size :: RectHexGrid -> Size RectHexGrid Source # maxPossibleDistance :: RectHexGrid -> Int Source #
Grid RectHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 Associated Types type Index RectHexGrid Source # type Direction RectHexGrid Source # Methods indices :: RectHexGrid -> [Index RectHexGrid] Source # distance :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> Int Source # minDistance :: RectHexGrid -> [Index RectHexGrid] -> Index RectHexGrid -> Int Source # neighbours :: RectHexGrid -> Index RectHexGrid -> [Index RectHexGrid] Source # neighboursOfSet :: RectHexGrid -> [Index RectHexGrid] -> [Index RectHexGrid] Source # neighbour :: RectHexGrid -> Index RectHexGrid -> Direction RectHexGrid -> Maybe (Index RectHexGrid) Source # numNeighbours :: RectHexGrid -> Index RectHexGrid -> Int Source # contains :: RectHexGrid -> Index RectHexGrid -> Bool Source # tileCount :: RectHexGrid -> Int Source # null :: RectHexGrid -> Bool Source # nonNull :: RectHexGrid -> Bool Source # edges :: RectHexGrid -> [(Index RectHexGrid, Index RectHexGrid)] Source # viewpoint :: RectHexGrid -> Index RectHexGrid -> [(Index RectHexGrid, Int)] Source # isAdjacent :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> Bool Source # adjacentTilesToward :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> [Index RectHexGrid] Source # minimalPaths :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> [[Index RectHexGrid]] Source # directionTo :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> [Direction RectHexGrid] Source # defaultMinDistance :: RectHexGrid -> [Index RectHexGrid] -> Index RectHexGrid -> Int Source # defaultNeighbours :: RectHexGrid -> Index RectHexGrid -> [Index RectHexGrid] Source # defaultNeighboursOfSet :: RectHexGrid -> [Index RectHexGrid] -> [Index RectHexGrid] Source # defaultNeighbour :: RectHexGrid -> Index RectHexGrid -> Direction RectHexGrid -> Maybe (Index RectHexGrid) Source # defaultTileCount :: RectHexGrid -> Int Source # defaultEdges :: RectHexGrid -> [(Index RectHexGrid, Index RectHexGrid)] Source # defaultIsAdjacent :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> Bool Source # defaultAdjacentTilesToward :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> [Index RectHexGrid] Source # defaultMinimalPaths :: RectHexGrid -> Index RectHexGrid -> Index RectHexGrid -> [[Index RectHexGrid]] Source #
type Rep RectHexGrid Source #
Instance details 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 Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 type Size RectHexGrid = (Int, Int)
type Index RectHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 type Index RectHexGrid = (Int, Int)
type Direction RectHexGrid Source #
Instance details Defined in Math.Geometry.Grid.HexagonalInternal2 type Direction RectHexGrid = HexDirection

rectHexGrid :: Int -> Int -> RectHexGrid Source #

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.