Math.Geometry.GridInternal

A module containing private Grid internals. Most developers should use Grid instead. This module is subject to change without notice.

Documentation

class Grid g where

A regular arrangement of tiles. Minimal complete definition: Index, Direction, indices, distance, directionTo.

Minimal complete definition

indices, distance, directionTo

Associated Types

type Index g

type Direction g

Methods

indices :: g -> [Index g]

Returns the indices of all tiles in a grid.

distance :: g -> Index g -> Index g -> Int

distance g a b returns the minimum number of moves required to get from the tile at index a to the tile at index b in grid g, moving between adjacent tiles at each step. (Two tiles are adjacent if they share an edge.) If a or b are not contained within g, the result is undefined.

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

minDistance g bs a returns the minimum number of moves required to get from any of the tiles at indices bs to the tile at index a in grid g, moving between adjacent tiles at each step. (Two tiles are adjacent if they share an edge.) If a or any of bs are not contained within g, the result is undefined.

neighbours :: Eq (Index g) => g -> Index g -> [Index g]

neighbours g a returns the indices of the tiles in the grid g which are adjacent to the tile with index a.

neighboursOfSet :: Eq (Index g) => g -> [Index g] -> [Index g]

neighboursOfSet g as returns the indices of the tiles in the grid g which are adjacent to any of the tiles with index in as.

neighbour :: (Eq (Index g), Eq (Direction g)) => g -> Index g -> Direction g -> Maybe (Index g)

neighbour g d a returns the indices of the tile in the grid g which is adjacent to the tile with index a, in the direction d.

numNeighbours :: Eq (Index g) => g -> Index g -> Int

numNeighbours g a returns the number of tiles in the grid g which are adjacent to the tile with index a.

contains :: Eq (Index g) => g -> Index g -> Bool

g `contains' a returns True if the index a is contained within the grid g, otherwise it returns false.

tileCount :: g -> Int

Returns the number of tiles in a grid. Compare with size.

null :: g -> Bool

Returns True if the number of tiles in a grid is zero, False otherwise.

nonNull :: g -> Bool

Returns False if the number of tiles in a grid is zero, True otherwise.

edges :: Eq (Index g) => g -> [(Index g, Index g)]

A list of all edges in a grid, where the edges are represented by a pair of indices of adjacent tiles.

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

viewpoint g a returns a list of pairs associating the index of each tile in g with its distance to the tile with index a. If a is not contained within g, the result is undefined.

isAdjacent :: g -> Index g -> Index g -> Bool

isAdjacent g a b returns True if the tile at index a is adjacent to the tile at index b in g. (Two tiles are adjacent if they share an edge.) If a or b are not contained within g, the result is undefined.

adjacentTilesToward :: Eq (Index g) => g -> Index g -> Index g -> [Index g]

adjacentTilesToward g a b returns the indices of all tiles which are neighbours of the tile at index a, and which are closer to the tile at b than a is. In other words, it returns the possible next steps on a minimal path from a to b. If a or b are not contained within g, or if there is no path from a to b (e.g., a disconnected grid), the result is undefined.

minimalPaths :: Eq (Index g) => g -> Index g -> Index g -> [[Index g]]

minimalPaths g a b returns a list of all minimal paths from the tile at index a to the tile at index b in grid g. A path is a sequence of tiles where each tile in the sequence is adjacent to the previous one. (Two tiles are adjacent if they share an edge.) If a or b are not contained within g, the result is undefined.

Tip: The default implementation of this function calls adjacentTilesToward. If you want to use a custom algorithm, consider modifying adjacentTilesToward instead of minimalPaths.

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

directionTo g a b returns the direction(s) of the next tile(s) in a minimal path from the tile at index a to the tile at index b in grid g.

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

defaultNeighbours :: g -> Index g -> [Index g]

defaultNeighboursOfSet :: Eq (Index g) => g -> [Index g] -> [Index g]

defaultNeighbour :: (Eq (Index g), Eq (Direction g)) => g -> Index g -> Direction g -> Maybe (Index g)

defaultTileCount :: g -> Int

defaultEdges :: Eq (Index g) => g -> [(Index g, Index g)]

defaultIsAdjacent :: g -> Index g -> Index g -> Bool

defaultAdjacentTilesToward :: Eq (Index g) => g -> Index g -> Index g -> [Index g]

defaultMinimalPaths :: Eq (Index g) => g -> Index g -> Index g -> [[Index g]]

Instances

Grid XCylTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Index XCylTriGrid :: Type

type Direction XCylTriGrid :: Type

Methods

indices :: XCylTriGrid -> [Index XCylTriGrid]

distance :: XCylTriGrid -> Index XCylTriGrid -> Index XCylTriGrid -> Int

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

neighbours :: XCylTriGrid -> Index XCylTriGrid -> [Index XCylTriGrid]

neighboursOfSet :: XCylTriGrid -> [Index XCylTriGrid] -> [Index XCylTriGrid]

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

numNeighbours :: XCylTriGrid -> Index XCylTriGrid -> Int

contains :: XCylTriGrid -> Index XCylTriGrid -> Bool

tileCount :: XCylTriGrid -> Int

null :: XCylTriGrid -> Bool

nonNull :: XCylTriGrid -> Bool

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

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

isAdjacent :: XCylTriGrid -> Index XCylTriGrid -> Index XCylTriGrid -> Bool

adjacentTilesToward :: XCylTriGrid -> Index XCylTriGrid -> Index XCylTriGrid -> [Index XCylTriGrid]

minimalPaths :: XCylTriGrid -> Index XCylTriGrid -> Index XCylTriGrid -> [[Index XCylTriGrid]]

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

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

defaultNeighbours :: XCylTriGrid -> Index XCylTriGrid -> [Index XCylTriGrid]

defaultNeighboursOfSet :: XCylTriGrid -> [Index XCylTriGrid] -> [Index XCylTriGrid]

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

defaultTileCount :: XCylTriGrid -> Int

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

defaultIsAdjacent :: XCylTriGrid -> Index XCylTriGrid -> Index XCylTriGrid -> Bool

defaultAdjacentTilesToward :: XCylTriGrid -> Index XCylTriGrid -> Index XCylTriGrid -> [Index XCylTriGrid]

defaultMinimalPaths :: XCylTriGrid -> Index XCylTriGrid -> Index XCylTriGrid -> [[Index XCylTriGrid]]

Grid YCylTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Index YCylTriGrid :: Type

type Direction YCylTriGrid :: Type

Methods

indices :: YCylTriGrid -> [Index YCylTriGrid]

distance :: YCylTriGrid -> Index YCylTriGrid -> Index YCylTriGrid -> Int

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

neighbours :: YCylTriGrid -> Index YCylTriGrid -> [Index YCylTriGrid]

neighboursOfSet :: YCylTriGrid -> [Index YCylTriGrid] -> [Index YCylTriGrid]

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

numNeighbours :: YCylTriGrid -> Index YCylTriGrid -> Int

contains :: YCylTriGrid -> Index YCylTriGrid -> Bool

tileCount :: YCylTriGrid -> Int

null :: YCylTriGrid -> Bool

nonNull :: YCylTriGrid -> Bool

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

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

isAdjacent :: YCylTriGrid -> Index YCylTriGrid -> Index YCylTriGrid -> Bool

adjacentTilesToward :: YCylTriGrid -> Index YCylTriGrid -> Index YCylTriGrid -> [Index YCylTriGrid]

minimalPaths :: YCylTriGrid -> Index YCylTriGrid -> Index YCylTriGrid -> [[Index YCylTriGrid]]

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

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

defaultNeighbours :: YCylTriGrid -> Index YCylTriGrid -> [Index YCylTriGrid]

defaultNeighboursOfSet :: YCylTriGrid -> [Index YCylTriGrid] -> [Index YCylTriGrid]

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

defaultTileCount :: YCylTriGrid -> Int

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

defaultIsAdjacent :: YCylTriGrid -> Index YCylTriGrid -> Index YCylTriGrid -> Bool

defaultAdjacentTilesToward :: YCylTriGrid -> Index YCylTriGrid -> Index YCylTriGrid -> [Index YCylTriGrid]

defaultMinimalPaths :: YCylTriGrid -> Index YCylTriGrid -> Index YCylTriGrid -> [[Index YCylTriGrid]]

Grid TorTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Index TorTriGrid :: Type

type Direction TorTriGrid :: Type

Methods

indices :: TorTriGrid -> [Index TorTriGrid]

distance :: TorTriGrid -> Index TorTriGrid -> Index TorTriGrid -> Int

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

neighbours :: TorTriGrid -> Index TorTriGrid -> [Index TorTriGrid]

neighboursOfSet :: TorTriGrid -> [Index TorTriGrid] -> [Index TorTriGrid]

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

numNeighbours :: TorTriGrid -> Index TorTriGrid -> Int

contains :: TorTriGrid -> Index TorTriGrid -> Bool

tileCount :: TorTriGrid -> Int

null :: TorTriGrid -> Bool

nonNull :: TorTriGrid -> Bool

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

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

isAdjacent :: TorTriGrid -> Index TorTriGrid -> Index TorTriGrid -> Bool

adjacentTilesToward :: TorTriGrid -> Index TorTriGrid -> Index TorTriGrid -> [Index TorTriGrid]

minimalPaths :: TorTriGrid -> Index TorTriGrid -> Index TorTriGrid -> [[Index TorTriGrid]]

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

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

defaultNeighbours :: TorTriGrid -> Index TorTriGrid -> [Index TorTriGrid]

defaultNeighboursOfSet :: TorTriGrid -> [Index TorTriGrid] -> [Index TorTriGrid]

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

defaultTileCount :: TorTriGrid -> Int

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

defaultIsAdjacent :: TorTriGrid -> Index TorTriGrid -> Index TorTriGrid -> Bool

defaultAdjacentTilesToward :: TorTriGrid -> Index TorTriGrid -> Index TorTriGrid -> [Index TorTriGrid]

defaultMinimalPaths :: TorTriGrid -> Index TorTriGrid -> Index TorTriGrid -> [[Index TorTriGrid]]

Grid RectTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Index RectTriGrid :: Type

type Direction RectTriGrid :: Type

Methods

indices :: RectTriGrid -> [Index RectTriGrid]

distance :: RectTriGrid -> Index RectTriGrid -> Index RectTriGrid -> Int

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

neighbours :: RectTriGrid -> Index RectTriGrid -> [Index RectTriGrid]

neighboursOfSet :: RectTriGrid -> [Index RectTriGrid] -> [Index RectTriGrid]

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

numNeighbours :: RectTriGrid -> Index RectTriGrid -> Int

contains :: RectTriGrid -> Index RectTriGrid -> Bool

tileCount :: RectTriGrid -> Int

null :: RectTriGrid -> Bool

nonNull :: RectTriGrid -> Bool

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

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

isAdjacent :: RectTriGrid -> Index RectTriGrid -> Index RectTriGrid -> Bool

adjacentTilesToward :: RectTriGrid -> Index RectTriGrid -> Index RectTriGrid -> [Index RectTriGrid]

minimalPaths :: RectTriGrid -> Index RectTriGrid -> Index RectTriGrid -> [[Index RectTriGrid]]

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

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

defaultNeighbours :: RectTriGrid -> Index RectTriGrid -> [Index RectTriGrid]

defaultNeighboursOfSet :: RectTriGrid -> [Index RectTriGrid] -> [Index RectTriGrid]

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

defaultTileCount :: RectTriGrid -> Int

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

defaultIsAdjacent :: RectTriGrid -> Index RectTriGrid -> Index RectTriGrid -> Bool

defaultAdjacentTilesToward :: RectTriGrid -> Index RectTriGrid -> Index RectTriGrid -> [Index RectTriGrid]

defaultMinimalPaths :: RectTriGrid -> Index RectTriGrid -> Index RectTriGrid -> [[Index RectTriGrid]]

Grid ParaTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Index ParaTriGrid :: Type

type Direction ParaTriGrid :: Type

Methods

indices :: ParaTriGrid -> [Index ParaTriGrid]

distance :: ParaTriGrid -> Index ParaTriGrid -> Index ParaTriGrid -> Int

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

neighbours :: ParaTriGrid -> Index ParaTriGrid -> [Index ParaTriGrid]

neighboursOfSet :: ParaTriGrid -> [Index ParaTriGrid] -> [Index ParaTriGrid]

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

numNeighbours :: ParaTriGrid -> Index ParaTriGrid -> Int

contains :: ParaTriGrid -> Index ParaTriGrid -> Bool

tileCount :: ParaTriGrid -> Int

null :: ParaTriGrid -> Bool

nonNull :: ParaTriGrid -> Bool

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

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

isAdjacent :: ParaTriGrid -> Index ParaTriGrid -> Index ParaTriGrid -> Bool

adjacentTilesToward :: ParaTriGrid -> Index ParaTriGrid -> Index ParaTriGrid -> [Index ParaTriGrid]

minimalPaths :: ParaTriGrid -> Index ParaTriGrid -> Index ParaTriGrid -> [[Index ParaTriGrid]]

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

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

defaultNeighbours :: ParaTriGrid -> Index ParaTriGrid -> [Index ParaTriGrid]

defaultNeighboursOfSet :: ParaTriGrid -> [Index ParaTriGrid] -> [Index ParaTriGrid]

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

defaultTileCount :: ParaTriGrid -> Int

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

defaultIsAdjacent :: ParaTriGrid -> Index ParaTriGrid -> Index ParaTriGrid -> Bool

defaultAdjacentTilesToward :: ParaTriGrid -> Index ParaTriGrid -> Index ParaTriGrid -> [Index ParaTriGrid]

defaultMinimalPaths :: ParaTriGrid -> Index ParaTriGrid -> Index ParaTriGrid -> [[Index ParaTriGrid]]

Grid TriTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Index TriTriGrid :: Type

type Direction TriTriGrid :: Type

Methods

indices :: TriTriGrid -> [Index TriTriGrid]

distance :: TriTriGrid -> Index TriTriGrid -> Index TriTriGrid -> Int

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

neighbours :: TriTriGrid -> Index TriTriGrid -> [Index TriTriGrid]

neighboursOfSet :: TriTriGrid -> [Index TriTriGrid] -> [Index TriTriGrid]

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

numNeighbours :: TriTriGrid -> Index TriTriGrid -> Int

contains :: TriTriGrid -> Index TriTriGrid -> Bool

tileCount :: TriTriGrid -> Int

null :: TriTriGrid -> Bool

nonNull :: TriTriGrid -> Bool

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

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

isAdjacent :: TriTriGrid -> Index TriTriGrid -> Index TriTriGrid -> Bool

adjacentTilesToward :: TriTriGrid -> Index TriTriGrid -> Index TriTriGrid -> [Index TriTriGrid]

minimalPaths :: TriTriGrid -> Index TriTriGrid -> Index TriTriGrid -> [[Index TriTriGrid]]

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

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

defaultNeighbours :: TriTriGrid -> Index TriTriGrid -> [Index TriTriGrid]

defaultNeighboursOfSet :: TriTriGrid -> [Index TriTriGrid] -> [Index TriTriGrid]

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

defaultTileCount :: TriTriGrid -> Int

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

defaultIsAdjacent :: TriTriGrid -> Index TriTriGrid -> Index TriTriGrid -> Bool

defaultAdjacentTilesToward :: TriTriGrid -> Index TriTriGrid -> Index TriTriGrid -> [Index TriTriGrid]

defaultMinimalPaths :: TriTriGrid -> Index TriTriGrid -> Index TriTriGrid -> [[Index TriTriGrid]]

Grid UnboundedTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Index UnboundedTriGrid :: Type

type Direction UnboundedTriGrid :: Type

Methods

indices :: UnboundedTriGrid -> [Index UnboundedTriGrid]

distance :: UnboundedTriGrid -> Index UnboundedTriGrid -> Index UnboundedTriGrid -> Int

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

neighbours :: UnboundedTriGrid -> Index UnboundedTriGrid -> [Index UnboundedTriGrid]

neighboursOfSet :: UnboundedTriGrid -> [Index UnboundedTriGrid] -> [Index UnboundedTriGrid]

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

numNeighbours :: UnboundedTriGrid -> Index UnboundedTriGrid -> Int

contains :: UnboundedTriGrid -> Index UnboundedTriGrid -> Bool

tileCount :: UnboundedTriGrid -> Int

null :: UnboundedTriGrid -> Bool

nonNull :: UnboundedTriGrid -> Bool

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

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

isAdjacent :: UnboundedTriGrid -> Index UnboundedTriGrid -> Index UnboundedTriGrid -> Bool

adjacentTilesToward :: UnboundedTriGrid -> Index UnboundedTriGrid -> Index UnboundedTriGrid -> [Index UnboundedTriGrid]

minimalPaths :: UnboundedTriGrid -> Index UnboundedTriGrid -> Index UnboundedTriGrid -> [[Index UnboundedTriGrid]]

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

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

defaultNeighbours :: UnboundedTriGrid -> Index UnboundedTriGrid -> [Index UnboundedTriGrid]

defaultNeighboursOfSet :: UnboundedTriGrid -> [Index UnboundedTriGrid] -> [Index UnboundedTriGrid]

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

defaultTileCount :: UnboundedTriGrid -> Int

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

defaultIsAdjacent :: UnboundedTriGrid -> Index UnboundedTriGrid -> Index UnboundedTriGrid -> Bool

defaultAdjacentTilesToward :: UnboundedTriGrid -> Index UnboundedTriGrid -> Index UnboundedTriGrid -> [Index UnboundedTriGrid]

defaultMinimalPaths :: UnboundedTriGrid -> Index UnboundedTriGrid -> Index UnboundedTriGrid -> [[Index UnboundedTriGrid]]

Grid TorSquareGrid

Defined in Math.Geometry.Grid.SquareInternal

Associated Types

type Index TorSquareGrid :: Type

type Direction TorSquareGrid :: Type

Methods

indices :: TorSquareGrid -> [Index TorSquareGrid]

distance :: TorSquareGrid -> Index TorSquareGrid -> Index TorSquareGrid -> Int

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

neighbours :: TorSquareGrid -> Index TorSquareGrid -> [Index TorSquareGrid]

neighboursOfSet :: TorSquareGrid -> [Index TorSquareGrid] -> [Index TorSquareGrid]

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

numNeighbours :: TorSquareGrid -> Index TorSquareGrid -> Int

contains :: TorSquareGrid -> Index TorSquareGrid -> Bool

tileCount :: TorSquareGrid -> Int

null :: TorSquareGrid -> Bool

nonNull :: TorSquareGrid -> Bool

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

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

isAdjacent :: TorSquareGrid -> Index TorSquareGrid -> Index TorSquareGrid -> Bool

adjacentTilesToward :: TorSquareGrid -> Index TorSquareGrid -> Index TorSquareGrid -> [Index TorSquareGrid]

minimalPaths :: TorSquareGrid -> Index TorSquareGrid -> Index TorSquareGrid -> [[Index TorSquareGrid]]

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

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

defaultNeighbours :: TorSquareGrid -> Index TorSquareGrid -> [Index TorSquareGrid]

defaultNeighboursOfSet :: TorSquareGrid -> [Index TorSquareGrid] -> [Index TorSquareGrid]

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

defaultTileCount :: TorSquareGrid -> Int

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

defaultIsAdjacent :: TorSquareGrid -> Index TorSquareGrid -> Index TorSquareGrid -> Bool

defaultAdjacentTilesToward :: TorSquareGrid -> Index TorSquareGrid -> Index TorSquareGrid -> [Index TorSquareGrid]

defaultMinimalPaths :: TorSquareGrid -> Index TorSquareGrid -> Index TorSquareGrid -> [[Index TorSquareGrid]]

Grid RectSquareGrid

Defined in Math.Geometry.Grid.SquareInternal

Associated Types

type Index RectSquareGrid :: Type

type Direction RectSquareGrid :: Type

Methods

indices :: RectSquareGrid -> [Index RectSquareGrid]

distance :: RectSquareGrid -> Index RectSquareGrid -> Index RectSquareGrid -> Int

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

neighbours :: RectSquareGrid -> Index RectSquareGrid -> [Index RectSquareGrid]

neighboursOfSet :: RectSquareGrid -> [Index RectSquareGrid] -> [Index RectSquareGrid]

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

numNeighbours :: RectSquareGrid -> Index RectSquareGrid -> Int

contains :: RectSquareGrid -> Index RectSquareGrid -> Bool

tileCount :: RectSquareGrid -> Int

null :: RectSquareGrid -> Bool

nonNull :: RectSquareGrid -> Bool

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

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

isAdjacent :: RectSquareGrid -> Index RectSquareGrid -> Index RectSquareGrid -> Bool

adjacentTilesToward :: RectSquareGrid -> Index RectSquareGrid -> Index RectSquareGrid -> [Index RectSquareGrid]

minimalPaths :: RectSquareGrid -> Index RectSquareGrid -> Index RectSquareGrid -> [[Index RectSquareGrid]]

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

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

defaultNeighbours :: RectSquareGrid -> Index RectSquareGrid -> [Index RectSquareGrid]

defaultNeighboursOfSet :: RectSquareGrid -> [Index RectSquareGrid] -> [Index RectSquareGrid]

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

defaultTileCount :: RectSquareGrid -> Int

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

defaultIsAdjacent :: RectSquareGrid -> Index RectSquareGrid -> Index RectSquareGrid -> Bool

defaultAdjacentTilesToward :: RectSquareGrid -> Index RectSquareGrid -> Index RectSquareGrid -> [Index RectSquareGrid]

defaultMinimalPaths :: RectSquareGrid -> Index RectSquareGrid -> Index RectSquareGrid -> [[Index RectSquareGrid]]

Grid UnboundedSquareGrid

Defined in Math.Geometry.Grid.SquareInternal

Associated Types

type Index UnboundedSquareGrid :: Type

type Direction UnboundedSquareGrid :: Type

Methods

indices :: UnboundedSquareGrid -> [Index UnboundedSquareGrid]

distance :: UnboundedSquareGrid -> Index UnboundedSquareGrid -> Index UnboundedSquareGrid -> Int

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

neighbours :: UnboundedSquareGrid -> Index UnboundedSquareGrid -> [Index UnboundedSquareGrid]

neighboursOfSet :: UnboundedSquareGrid -> [Index UnboundedSquareGrid] -> [Index UnboundedSquareGrid]

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

numNeighbours :: UnboundedSquareGrid -> Index UnboundedSquareGrid -> Int

contains :: UnboundedSquareGrid -> Index UnboundedSquareGrid -> Bool

tileCount :: UnboundedSquareGrid -> Int

null :: UnboundedSquareGrid -> Bool

nonNull :: UnboundedSquareGrid -> Bool

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

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

isAdjacent :: UnboundedSquareGrid -> Index UnboundedSquareGrid -> Index UnboundedSquareGrid -> Bool

adjacentTilesToward :: UnboundedSquareGrid -> Index UnboundedSquareGrid -> Index UnboundedSquareGrid -> [Index UnboundedSquareGrid]

minimalPaths :: UnboundedSquareGrid -> Index UnboundedSquareGrid -> Index UnboundedSquareGrid -> [[Index UnboundedSquareGrid]]

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

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

defaultNeighbours :: UnboundedSquareGrid -> Index UnboundedSquareGrid -> [Index UnboundedSquareGrid]

defaultNeighboursOfSet :: UnboundedSquareGrid -> [Index UnboundedSquareGrid] -> [Index UnboundedSquareGrid]

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

defaultTileCount :: UnboundedSquareGrid -> Int

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

defaultIsAdjacent :: UnboundedSquareGrid -> Index UnboundedSquareGrid -> Index UnboundedSquareGrid -> Bool

defaultAdjacentTilesToward :: UnboundedSquareGrid -> Index UnboundedSquareGrid -> Index UnboundedSquareGrid -> [Index UnboundedSquareGrid]

defaultMinimalPaths :: UnboundedSquareGrid -> Index UnboundedSquareGrid -> Index UnboundedSquareGrid -> [[Index UnboundedSquareGrid]]

Grid TorOctGrid

Defined in Math.Geometry.Grid.OctagonalInternal

Associated Types

type Index TorOctGrid :: Type

type Direction TorOctGrid :: Type

Methods

indices :: TorOctGrid -> [Index TorOctGrid]

distance :: TorOctGrid -> Index TorOctGrid -> Index TorOctGrid -> Int

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

neighbours :: TorOctGrid -> Index TorOctGrid -> [Index TorOctGrid]

neighboursOfSet :: TorOctGrid -> [Index TorOctGrid] -> [Index TorOctGrid]

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

numNeighbours :: TorOctGrid -> Index TorOctGrid -> Int

contains :: TorOctGrid -> Index TorOctGrid -> Bool

tileCount :: TorOctGrid -> Int

null :: TorOctGrid -> Bool

nonNull :: TorOctGrid -> Bool

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

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

isAdjacent :: TorOctGrid -> Index TorOctGrid -> Index TorOctGrid -> Bool

adjacentTilesToward :: TorOctGrid -> Index TorOctGrid -> Index TorOctGrid -> [Index TorOctGrid]

minimalPaths :: TorOctGrid -> Index TorOctGrid -> Index TorOctGrid -> [[Index TorOctGrid]]

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

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

defaultNeighbours :: TorOctGrid -> Index TorOctGrid -> [Index TorOctGrid]

defaultNeighboursOfSet :: TorOctGrid -> [Index TorOctGrid] -> [Index TorOctGrid]

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

defaultTileCount :: TorOctGrid -> Int

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

defaultIsAdjacent :: TorOctGrid -> Index TorOctGrid -> Index TorOctGrid -> Bool

defaultAdjacentTilesToward :: TorOctGrid -> Index TorOctGrid -> Index TorOctGrid -> [Index TorOctGrid]

defaultMinimalPaths :: TorOctGrid -> Index TorOctGrid -> Index TorOctGrid -> [[Index TorOctGrid]]

Grid RectOctGrid

Defined in Math.Geometry.Grid.OctagonalInternal

Associated Types

type Index RectOctGrid :: Type

type Direction RectOctGrid :: Type

Methods

indices :: RectOctGrid -> [Index RectOctGrid]

distance :: RectOctGrid -> Index RectOctGrid -> Index RectOctGrid -> Int

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

neighbours :: RectOctGrid -> Index RectOctGrid -> [Index RectOctGrid]

neighboursOfSet :: RectOctGrid -> [Index RectOctGrid] -> [Index RectOctGrid]

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

numNeighbours :: RectOctGrid -> Index RectOctGrid -> Int

contains :: RectOctGrid -> Index RectOctGrid -> Bool

tileCount :: RectOctGrid -> Int

null :: RectOctGrid -> Bool

nonNull :: RectOctGrid -> Bool

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

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

isAdjacent :: RectOctGrid -> Index RectOctGrid -> Index RectOctGrid -> Bool

adjacentTilesToward :: RectOctGrid -> Index RectOctGrid -> Index RectOctGrid -> [Index RectOctGrid]

minimalPaths :: RectOctGrid -> Index RectOctGrid -> Index RectOctGrid -> [[Index RectOctGrid]]

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

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

defaultNeighbours :: RectOctGrid -> Index RectOctGrid -> [Index RectOctGrid]

defaultNeighboursOfSet :: RectOctGrid -> [Index RectOctGrid] -> [Index RectOctGrid]

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

defaultTileCount :: RectOctGrid -> Int

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

defaultIsAdjacent :: RectOctGrid -> Index RectOctGrid -> Index RectOctGrid -> Bool

defaultAdjacentTilesToward :: RectOctGrid -> Index RectOctGrid -> Index RectOctGrid -> [Index RectOctGrid]

defaultMinimalPaths :: RectOctGrid -> Index RectOctGrid -> Index RectOctGrid -> [[Index RectOctGrid]]

Grid UnboundedOctGrid

Defined in Math.Geometry.Grid.OctagonalInternal

Associated Types

type Index UnboundedOctGrid :: Type

type Direction UnboundedOctGrid :: Type

Methods

indices :: UnboundedOctGrid -> [Index UnboundedOctGrid]

distance :: UnboundedOctGrid -> Index UnboundedOctGrid -> Index UnboundedOctGrid -> Int

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

neighbours :: UnboundedOctGrid -> Index UnboundedOctGrid -> [Index UnboundedOctGrid]

neighboursOfSet :: UnboundedOctGrid -> [Index UnboundedOctGrid] -> [Index UnboundedOctGrid]

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

numNeighbours :: UnboundedOctGrid -> Index UnboundedOctGrid -> Int

contains :: UnboundedOctGrid -> Index UnboundedOctGrid -> Bool

tileCount :: UnboundedOctGrid -> Int

null :: UnboundedOctGrid -> Bool

nonNull :: UnboundedOctGrid -> Bool

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

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

isAdjacent :: UnboundedOctGrid -> Index UnboundedOctGrid -> Index UnboundedOctGrid -> Bool

adjacentTilesToward :: UnboundedOctGrid -> Index UnboundedOctGrid -> Index UnboundedOctGrid -> [Index UnboundedOctGrid]

minimalPaths :: UnboundedOctGrid -> Index UnboundedOctGrid -> Index UnboundedOctGrid -> [[Index UnboundedOctGrid]]

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

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

defaultNeighbours :: UnboundedOctGrid -> Index UnboundedOctGrid -> [Index UnboundedOctGrid]

defaultNeighboursOfSet :: UnboundedOctGrid -> [Index UnboundedOctGrid] -> [Index UnboundedOctGrid]

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

defaultTileCount :: UnboundedOctGrid -> Int

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

defaultIsAdjacent :: UnboundedOctGrid -> Index UnboundedOctGrid -> Index UnboundedOctGrid -> Bool

defaultAdjacentTilesToward :: UnboundedOctGrid -> Index UnboundedOctGrid -> Index UnboundedOctGrid -> [Index UnboundedOctGrid]

defaultMinimalPaths :: UnboundedOctGrid -> Index UnboundedOctGrid -> Index UnboundedOctGrid -> [[Index UnboundedOctGrid]]

Grid RectHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Index RectHexGrid :: Type

type Direction RectHexGrid :: Type

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]]

Grid HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Index HexHexGrid :: Type

type Direction HexHexGrid :: Type

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]]

Grid UnboundedHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Index UnboundedHexGrid :: Type

type Direction UnboundedHexGrid :: Type

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]]

Grid ParaHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal

Associated Types

type Index ParaHexGrid :: Type

type Direction ParaHexGrid :: Type

Methods

indices :: ParaHexGrid -> [Index ParaHexGrid]

distance :: ParaHexGrid -> Index ParaHexGrid -> Index ParaHexGrid -> Int

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

neighbours :: ParaHexGrid -> Index ParaHexGrid -> [Index ParaHexGrid]

neighboursOfSet :: ParaHexGrid -> [Index ParaHexGrid] -> [Index ParaHexGrid]

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

numNeighbours :: ParaHexGrid -> Index ParaHexGrid -> Int

contains :: ParaHexGrid -> Index ParaHexGrid -> Bool

tileCount :: ParaHexGrid -> Int

null :: ParaHexGrid -> Bool

nonNull :: ParaHexGrid -> Bool

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

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

isAdjacent :: ParaHexGrid -> Index ParaHexGrid -> Index ParaHexGrid -> Bool

adjacentTilesToward :: ParaHexGrid -> Index ParaHexGrid -> Index ParaHexGrid -> [Index ParaHexGrid]

minimalPaths :: ParaHexGrid -> Index ParaHexGrid -> Index ParaHexGrid -> [[Index ParaHexGrid]]

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

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

defaultNeighbours :: ParaHexGrid -> Index ParaHexGrid -> [Index ParaHexGrid]

defaultNeighboursOfSet :: ParaHexGrid -> [Index ParaHexGrid] -> [Index ParaHexGrid]

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

defaultTileCount :: ParaHexGrid -> Int

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

defaultIsAdjacent :: ParaHexGrid -> Index ParaHexGrid -> Index ParaHexGrid -> Bool

defaultAdjacentTilesToward :: ParaHexGrid -> Index ParaHexGrid -> Index ParaHexGrid -> [Index ParaHexGrid]

defaultMinimalPaths :: ParaHexGrid -> Index ParaHexGrid -> Index ParaHexGrid -> [[Index ParaHexGrid]]

Grid HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal

Associated Types

type Index HexHexGrid :: Type

type Direction HexHexGrid :: Type

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]]

Grid UnboundedHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal

Associated Types

type Index UnboundedHexGrid :: Type

type Direction UnboundedHexGrid :: Type

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]]

Grid g => Grid (LGridMap g v)

Defined in Math.Geometry.GridMap.Lazy

Associated Types

type Index (LGridMap g v) :: Type

type Direction (LGridMap g v) :: Type

Methods

indices :: LGridMap g v -> [Index (LGridMap g v)]

distance :: LGridMap g v -> Index (LGridMap g v) -> Index (LGridMap g v) -> Int

minDistance :: LGridMap g v -> [Index (LGridMap g v)] -> Index (LGridMap g v) -> Int

neighbours :: LGridMap g v -> Index (LGridMap g v) -> [Index (LGridMap g v)]

neighboursOfSet :: LGridMap g v -> [Index (LGridMap g v)] -> [Index (LGridMap g v)]

neighbour :: LGridMap g v -> Index (LGridMap g v) -> Direction (LGridMap g v) -> Maybe (Index (LGridMap g v))

numNeighbours :: LGridMap g v -> Index (LGridMap g v) -> Int

contains :: LGridMap g v -> Index (LGridMap g v) -> Bool

tileCount :: LGridMap g v -> Int

null :: LGridMap g v -> Bool

nonNull :: LGridMap g v -> Bool

edges :: LGridMap g v -> [(Index (LGridMap g v), Index (LGridMap g v))]

viewpoint :: LGridMap g v -> Index (LGridMap g v) -> [(Index (LGridMap g v), Int)]

isAdjacent :: LGridMap g v -> Index (LGridMap g v) -> Index (LGridMap g v) -> Bool

adjacentTilesToward :: LGridMap g v -> Index (LGridMap g v) -> Index (LGridMap g v) -> [Index (LGridMap g v)]

minimalPaths :: LGridMap g v -> Index (LGridMap g v) -> Index (LGridMap g v) -> [[Index (LGridMap g v)]]

directionTo :: LGridMap g v -> Index (LGridMap g v) -> Index (LGridMap g v) -> [Direction (LGridMap g v)]

defaultMinDistance :: LGridMap g v -> [Index (LGridMap g v)] -> Index (LGridMap g v) -> Int

defaultNeighbours :: LGridMap g v -> Index (LGridMap g v) -> [Index (LGridMap g v)]

defaultNeighboursOfSet :: LGridMap g v -> [Index (LGridMap g v)] -> [Index (LGridMap g v)]

defaultNeighbour :: LGridMap g v -> Index (LGridMap g v) -> Direction (LGridMap g v) -> Maybe (Index (LGridMap g v))

defaultTileCount :: LGridMap g v -> Int

defaultEdges :: LGridMap g v -> [(Index (LGridMap g v), Index (LGridMap g v))]

defaultIsAdjacent :: LGridMap g v -> Index (LGridMap g v) -> Index (LGridMap g v) -> Bool

defaultAdjacentTilesToward :: LGridMap g v -> Index (LGridMap g v) -> Index (LGridMap g v) -> [Index (LGridMap g v)]

defaultMinimalPaths :: LGridMap g v -> Index (LGridMap g v) -> Index (LGridMap g v) -> [[Index (LGridMap g v)]]

class Grid g => FiniteGrid g where

A regular arrangement of tiles where the number of tiles is finite. Minimal complete definition: size, maxPossibleDistance.

Associated Types

type Size g

Methods

size :: g -> Size g

Returns the dimensions of the grid. For example, if g is a 4x3 rectangular grid, size g would return (4, 3), while tileCount g would return 12.

maxPossibleDistance :: g -> Int

Returns the largest possible distance between two tiles in the grid.

Instances

FiniteGrid XCylTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Size XCylTriGrid :: Type

Methods

size :: XCylTriGrid -> Size XCylTriGrid

maxPossibleDistance :: XCylTriGrid -> Int

FiniteGrid YCylTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Size YCylTriGrid :: Type

Methods

size :: YCylTriGrid -> Size YCylTriGrid

maxPossibleDistance :: YCylTriGrid -> Int

FiniteGrid TorTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Size TorTriGrid :: Type

Methods

size :: TorTriGrid -> Size TorTriGrid

maxPossibleDistance :: TorTriGrid -> Int

FiniteGrid RectTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Size RectTriGrid :: Type

Methods

size :: RectTriGrid -> Size RectTriGrid

maxPossibleDistance :: RectTriGrid -> Int

FiniteGrid ParaTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Size ParaTriGrid :: Type

Methods

size :: ParaTriGrid -> Size ParaTriGrid

maxPossibleDistance :: ParaTriGrid -> Int

FiniteGrid TriTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Associated Types

type Size TriTriGrid :: Type

Methods

size :: TriTriGrid -> Size TriTriGrid

maxPossibleDistance :: TriTriGrid -> Int

FiniteGrid TorSquareGrid

Defined in Math.Geometry.Grid.SquareInternal

Associated Types

type Size TorSquareGrid :: Type

Methods

size :: TorSquareGrid -> Size TorSquareGrid

maxPossibleDistance :: TorSquareGrid -> Int

FiniteGrid RectSquareGrid

Defined in Math.Geometry.Grid.SquareInternal

Associated Types

type Size RectSquareGrid :: Type

Methods

size :: RectSquareGrid -> Size RectSquareGrid

maxPossibleDistance :: RectSquareGrid -> Int

FiniteGrid TorOctGrid

Defined in Math.Geometry.Grid.OctagonalInternal

Associated Types

type Size TorOctGrid :: Type

Methods

size :: TorOctGrid -> Size TorOctGrid

maxPossibleDistance :: TorOctGrid -> Int

FiniteGrid RectOctGrid

Defined in Math.Geometry.Grid.OctagonalInternal

Associated Types

type Size RectOctGrid :: Type

Methods

size :: RectOctGrid -> Size RectOctGrid

maxPossibleDistance :: RectOctGrid -> Int

FiniteGrid RectHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Size RectHexGrid :: Type

Methods

size :: RectHexGrid -> Size RectHexGrid

maxPossibleDistance :: RectHexGrid -> Int

FiniteGrid HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal2

Associated Types

type Size HexHexGrid :: Type

Methods

size :: HexHexGrid -> Size HexHexGrid

maxPossibleDistance :: HexHexGrid -> Int

FiniteGrid ParaHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal

Associated Types

type Size ParaHexGrid :: Type

Methods

size :: ParaHexGrid -> Size ParaHexGrid

maxPossibleDistance :: ParaHexGrid -> Int

FiniteGrid HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal

Associated Types

type Size HexHexGrid :: Type

Methods

size :: HexHexGrid -> Size HexHexGrid

maxPossibleDistance :: HexHexGrid -> Int

FiniteGrid g => FiniteGrid (LGridMap g v)

Defined in Math.Geometry.GridMap.Lazy

Associated Types

type Size (LGridMap g v) :: Type

Methods

size :: LGridMap g v -> Size (LGridMap g v)

maxPossibleDistance :: LGridMap g v -> Int

class Grid g => BoundedGrid g where

A regular arrangement of tiles with an edge. Minimal complete definition: tileSideCount.

Minimal complete definition

tileSideCount

Methods

tileSideCount :: g -> Int

Returns the number of sides a tile has

boundary :: Eq (Index g) => g -> [Index g]

Returns a the indices of all the tiles at the boundary of a grid.

isBoundary :: Eq (Index g) => g -> Index g -> Bool

isBoundary g a' returns True if the tile with index a is on a boundary of g, False otherwise. (Corner tiles are also boundary tiles.)

centre :: Eq (Index g) => g -> [Index g]

Returns the index of the tile(s) that require the maximum number of moves to reach the nearest boundary tile. A grid may have more than one central tile (e.g., a rectangular grid with an even number of rows and columns will have four central tiles).

isCentre :: Eq (Index g) => g -> Index g -> Bool

isCentre g a' returns True if the tile with index a is a centre tile of g, False otherwise.

defaultBoundary :: Eq (Index g) => g -> [Index g]

defaultIsBoundary :: Eq (Index g) => g -> Index g -> Bool

defaultCentre :: Eq (Index g) => g -> [Index g]

defaultIsCentre :: Eq (Index g) => g -> Index g -> Bool

Instances

BoundedGrid RectTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Methods

tileSideCount :: RectTriGrid -> Int

boundary :: RectTriGrid -> [Index RectTriGrid]

isBoundary :: RectTriGrid -> Index RectTriGrid -> Bool

centre :: RectTriGrid -> [Index RectTriGrid]

isCentre :: RectTriGrid -> Index RectTriGrid -> Bool

defaultBoundary :: RectTriGrid -> [Index RectTriGrid]

defaultIsBoundary :: RectTriGrid -> Index RectTriGrid -> Bool

defaultCentre :: RectTriGrid -> [Index RectTriGrid]

defaultIsCentre :: RectTriGrid -> Index RectTriGrid -> Bool

BoundedGrid ParaTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Methods

tileSideCount :: ParaTriGrid -> Int

boundary :: ParaTriGrid -> [Index ParaTriGrid]

isBoundary :: ParaTriGrid -> Index ParaTriGrid -> Bool

centre :: ParaTriGrid -> [Index ParaTriGrid]

isCentre :: ParaTriGrid -> Index ParaTriGrid -> Bool

defaultBoundary :: ParaTriGrid -> [Index ParaTriGrid]

defaultIsBoundary :: ParaTriGrid -> Index ParaTriGrid -> Bool

defaultCentre :: ParaTriGrid -> [Index ParaTriGrid]

defaultIsCentre :: ParaTriGrid -> Index ParaTriGrid -> Bool

BoundedGrid TriTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Methods

tileSideCount :: TriTriGrid -> Int

boundary :: TriTriGrid -> [Index TriTriGrid]

isBoundary :: TriTriGrid -> Index TriTriGrid -> Bool

centre :: TriTriGrid -> [Index TriTriGrid]

isCentre :: TriTriGrid -> Index TriTriGrid -> Bool

defaultBoundary :: TriTriGrid -> [Index TriTriGrid]

defaultIsBoundary :: TriTriGrid -> Index TriTriGrid -> Bool

defaultCentre :: TriTriGrid -> [Index TriTriGrid]

defaultIsCentre :: TriTriGrid -> Index TriTriGrid -> Bool

BoundedGrid RectSquareGrid

Defined in Math.Geometry.Grid.SquareInternal

Methods

tileSideCount :: RectSquareGrid -> Int

boundary :: RectSquareGrid -> [Index RectSquareGrid]

isBoundary :: RectSquareGrid -> Index RectSquareGrid -> Bool

centre :: RectSquareGrid -> [Index RectSquareGrid]

isCentre :: RectSquareGrid -> Index RectSquareGrid -> Bool

defaultBoundary :: RectSquareGrid -> [Index RectSquareGrid]

defaultIsBoundary :: RectSquareGrid -> Index RectSquareGrid -> Bool

defaultCentre :: RectSquareGrid -> [Index RectSquareGrid]

defaultIsCentre :: RectSquareGrid -> Index RectSquareGrid -> Bool

BoundedGrid RectOctGrid

Defined in Math.Geometry.Grid.OctagonalInternal

Methods

tileSideCount :: RectOctGrid -> Int

boundary :: RectOctGrid -> [Index RectOctGrid]

isBoundary :: RectOctGrid -> Index RectOctGrid -> Bool

centre :: RectOctGrid -> [Index RectOctGrid]

isCentre :: RectOctGrid -> Index RectOctGrid -> Bool

defaultBoundary :: RectOctGrid -> [Index RectOctGrid]

defaultIsBoundary :: RectOctGrid -> Index RectOctGrid -> Bool

defaultCentre :: RectOctGrid -> [Index RectOctGrid]

defaultIsCentre :: RectOctGrid -> Index RectOctGrid -> Bool

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

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

BoundedGrid ParaHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal

Methods

tileSideCount :: ParaHexGrid -> Int

boundary :: ParaHexGrid -> [Index ParaHexGrid]

isBoundary :: ParaHexGrid -> Index ParaHexGrid -> Bool

centre :: ParaHexGrid -> [Index ParaHexGrid]

isCentre :: ParaHexGrid -> Index ParaHexGrid -> Bool

defaultBoundary :: ParaHexGrid -> [Index ParaHexGrid]

defaultIsBoundary :: ParaHexGrid -> Index ParaHexGrid -> Bool

defaultCentre :: ParaHexGrid -> [Index ParaHexGrid]

defaultIsCentre :: ParaHexGrid -> Index ParaHexGrid -> Bool

BoundedGrid HexHexGrid

Defined in Math.Geometry.Grid.HexagonalInternal

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

BoundedGrid g => BoundedGrid (LGridMap g v)

Defined in Math.Geometry.GridMap.Lazy

Methods

tileSideCount :: LGridMap g v -> Int

boundary :: LGridMap g v -> [Index (LGridMap g v)]

isBoundary :: LGridMap g v -> Index (LGridMap g v) -> Bool

centre :: LGridMap g v -> [Index (LGridMap g v)]

isCentre :: LGridMap g v -> Index (LGridMap g v) -> Bool

defaultBoundary :: LGridMap g v -> [Index (LGridMap g v)]

defaultIsBoundary :: LGridMap g v -> Index (LGridMap g v) -> Bool

defaultCentre :: LGridMap g v -> [Index (LGridMap g v)]

defaultIsCentre :: LGridMap g v -> Index (LGridMap g v) -> Bool

class Grid g => WrappedGrid g where

A regular arrangement of tiles where the boundaries are joined. Minimal complete definition: normalise and denormalise.

Methods

normalise :: g -> Index g -> Index g

normalise g a returns the "normal" indices for a. TODO: need a clearer description and an illustration.

denormalise :: g -> Index g -> [Index g]

denormalise g a returns all of the indices in a's translation group. In other words, it returns a plus the indices obtained by translating a in each direction by the extent of the grid along that direction. TODO: need a clearer description and an illustration.

Instances

WrappedGrid XCylTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Methods

normalise :: XCylTriGrid -> Index XCylTriGrid -> Index XCylTriGrid

denormalise :: XCylTriGrid -> Index XCylTriGrid -> [Index XCylTriGrid]

WrappedGrid YCylTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Methods

normalise :: YCylTriGrid -> Index YCylTriGrid -> Index YCylTriGrid

denormalise :: YCylTriGrid -> Index YCylTriGrid -> [Index YCylTriGrid]

WrappedGrid TorTriGrid

Defined in Math.Geometry.Grid.TriangularInternal

Methods

normalise :: TorTriGrid -> Index TorTriGrid -> Index TorTriGrid

denormalise :: TorTriGrid -> Index TorTriGrid -> [Index TorTriGrid]

WrappedGrid TorSquareGrid

Defined in Math.Geometry.Grid.SquareInternal

Methods

normalise :: TorSquareGrid -> Index TorSquareGrid -> Index TorSquareGrid

denormalise :: TorSquareGrid -> Index TorSquareGrid -> [Index TorSquareGrid]

WrappedGrid TorOctGrid

Defined in Math.Geometry.Grid.OctagonalInternal

Methods

normalise :: TorOctGrid -> Index TorOctGrid -> Index TorOctGrid

denormalise :: TorOctGrid -> Index TorOctGrid -> [Index TorOctGrid]

WrappedGrid g => WrappedGrid (LGridMap g v)

Defined in Math.Geometry.GridMap.Lazy

Methods

normalise :: LGridMap g v -> Index (LGridMap g v) -> Index (LGridMap g v)

denormalise :: LGridMap g v -> Index (LGridMap g v) -> [Index (LGridMap g v)]

neighboursBasedOn :: (Eq (Index u), Grid g, Grid u, Index g ~ Index u) => u -> g -> Index g -> [Index g]

distanceBasedOn :: (Eq (Index g), Grid g, Grid u, Index g ~ Index u) => u -> g -> Index g -> Index g -> Int

directionToBasedOn :: (Eq (Index g), Eq (Direction g), Grid g, Grid u, Index g ~ Index u, Direction g ~ Direction u) => u -> g -> Index g -> Index g -> [Direction g]

neighboursWrappedBasedOn :: (Eq (Index g), WrappedGrid g, Grid u, Index g ~ Index u) => u -> g -> Index g -> [Index g]

neighbourWrappedBasedOn :: (Eq (Index g), Eq (Direction g), WrappedGrid g, Grid u, Index g ~ Index u, Direction g ~ Direction u) => u -> g -> Index g -> Direction g -> Maybe (Index g)

distanceWrappedBasedOn :: (Eq (Index g), WrappedGrid g, Grid u, Index g ~ Index u) => u -> g -> Index g -> Index g -> Int

directionToWrappedBasedOn :: (Eq (Index g), Eq (Direction g), WrappedGrid g, Grid u, Index g ~ Index u, Direction g ~ Direction u) => u -> g -> Index g -> Index g -> [Direction g]

sameEdge :: Eq t => (t, t) -> (t, t) -> Bool

adjacentEdges :: (Grid g, Eq (Index g)) => Index g -> g -> [(Index g, Index g)]

cartesianIndices :: (Enum r, Enum c, Num r, Num c, Ord r, Ord c) => (r, c) -> [(c, r)]

cartesianCentre :: (Int, Int) -> [(Int, Int)]

cartesianMidpoints :: Int -> [Int]