Math.Geometry.Grid.TriangularInternal

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

Documentation

data TriDirection

Constructors

South

Northwest

Northeast

North

Southeast

Southwest

Instances

Eq TriDirection

Show TriDirection

Generic TriDirection

type Rep TriDirection

data UnboundedTriGrid

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

Constructors

UnboundedTriGrid

Instances

Eq UnboundedTriGrid

Show UnboundedTriGrid

Generic UnboundedTriGrid

Grid UnboundedTriGrid

type Rep UnboundedTriGrid

type Index UnboundedTriGrid = (Int, Int)

type Direction UnboundedTriGrid = TriDirection

triZ :: Int -> Int -> Int

For triangular tiles, it is convenient to define a third component z.

data TriTriGrid

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

Constructors

TriTriGrid Int [(Int, Int)]

Instances

Eq TriTriGrid

Show TriTriGrid

Generic TriTriGrid

BoundedGrid TriTriGrid

FiniteGrid TriTriGrid

Grid TriTriGrid

type Rep TriTriGrid

type Size TriTriGrid = Int

type Index TriTriGrid = (Int, Int)

type Direction TriTriGrid = TriDirection

inTriTriGrid :: (Int, Int) -> Int -> Bool

triTriGrid :: Int -> TriTriGrid

triTriGrid s returns a triangular grid with sides of length s, using triangular tiles. If s is nonnegative, the resulting grid will have s^2 tiles. Otherwise, the resulting grid will be null and the list of indices will be null.

data ParaTriGrid

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

Constructors

ParaTriGrid (Int, Int) [(Int, Int)]

Instances

Eq ParaTriGrid

Show ParaTriGrid

Generic ParaTriGrid

BoundedGrid ParaTriGrid

FiniteGrid ParaTriGrid

Grid ParaTriGrid

type Rep ParaTriGrid

type Size ParaTriGrid = (Int, Int)

type Index ParaTriGrid = (Int, Int)

type Direction ParaTriGrid = TriDirection

paraTriGrid :: Int -> Int -> ParaTriGrid

paraTriGrid r c returns a grid in the shape of a parallelogram with r rows and c columns, using triangular tiles. If r and c are both nonnegative, the resulting grid will have 2*r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.

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

data RectTriGrid

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

Constructors

RectTriGrid (Int, Int) [(Int, Int)]

Instances

Eq RectTriGrid

Show RectTriGrid

Generic RectTriGrid

BoundedGrid RectTriGrid

FiniteGrid RectTriGrid

Grid RectTriGrid

type Rep RectTriGrid

type Size RectTriGrid = (Int, Int)

type Index RectTriGrid = (Int, Int)

type Direction RectTriGrid = TriDirection

rectTriGrid :: Int -> Int -> RectTriGrid

rectTriGrid r c returns a grid in the shape of a rectangle (with jagged edges) that has r rows and c columns, using triangular tiles. If r and c are both nonnegative, the resulting grid will have 2*r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.

data TorTriGrid

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

Constructors

TorTriGrid (Int, Int) [(Int, Int)]

Instances

Eq TorTriGrid

Show TorTriGrid

Generic TorTriGrid

WrappedGrid TorTriGrid

FiniteGrid TorTriGrid

Grid TorTriGrid

type Rep TorTriGrid

type Size TorTriGrid = (Int, Int)

type Index TorTriGrid = (Int, Int)

type Direction TorTriGrid = TriDirection

torTriGrid :: Int -> Int -> TorTriGrid

torTriGrid r c returns a toroidal grid with r rows and c columns, using triangular tiles. The indexing method is the same as for ParaTriGrid. If r and c are both nonnegative, the resulting grid will have 2*r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.

data YCylTriGrid

A cylindrical grid with triangular tiles, where the cylinder is along the y-axis. The grid and its indexing scheme are illustrated in the user guide, available at https://github.com/mhwombat/grid/wiki.

Constructors

YCylTriGrid (Int, Int) [(Int, Int)]

Instances

Eq YCylTriGrid

Show YCylTriGrid

Generic YCylTriGrid

WrappedGrid YCylTriGrid

FiniteGrid YCylTriGrid

Grid YCylTriGrid

type Rep YCylTriGrid

type Size YCylTriGrid = (Int, Int)

type Index YCylTriGrid = (Int, Int)

type Direction YCylTriGrid = TriDirection

yCylTriGrid :: Int -> Int -> YCylTriGrid

yCylTriGrid r c returns a cylindrical grid with r rows and c columns, using triangular tiles, where the cylinder is along the y-axis. The indexing method is the same as for ParaTriGrid. If r and c are both nonnegative, the resulting grid will have 2*r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.

data XCylTriGrid

A cylindrical grid with triangular tiles, where the cylinder is along the x-axis. The grid and its indexing scheme are illustrated in the user guide, available at https://github.com/mhwombat/grid/wiki.

Constructors

XCylTriGrid (Int, Int) [(Int, Int)]

Instances

Eq XCylTriGrid

Show XCylTriGrid

Generic XCylTriGrid

WrappedGrid XCylTriGrid

FiniteGrid XCylTriGrid

Grid XCylTriGrid

type Rep XCylTriGrid

type Size XCylTriGrid = (Int, Int)

type Index XCylTriGrid = (Int, Int)

type Direction XCylTriGrid = TriDirection

xCylTriGrid :: Int -> Int -> XCylTriGrid

xCylTriGrid r c returns a cylindrical grid with r rows and c columns, using triangular tiles, where the cylinder is along the y-axis. The indexing method is the same as for ParaTriGrid. If r and c are both nonnegative, the resulting grid will have 2*r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.