BishBosh.Cartesian.Abscissa

AUTHOR

Dr. Alistair Ward

DESCRIPTION

• Describes the x-axis by which the board is indexed.
• AKA the file of a piece.
• N.B. this coordinate-system is for internal use only, and doesn't attempt to replicate any standard chess-notation.

Types

type ArrayByAbscissa x = Array x

A boxed array indexed by coordinates, of arbitrary elements.

Constants

xOrigin :: Int

The position of the origin on the x-axis.

xLength :: Distance

The constant length of the x-axis.

xMin :: Enum x => x

The constant lower bound of abscissae.

xMax :: Enum x => x

The constant upper bound of abscissae.

xBounds :: Enum x => (x, x)

The constant bounds of abscissae.

xRange :: Enum x => [x]

The constant list of all abscissae.

Functions

toIx :: Enum x => x -> Int

Convert to an array-index.

fromIx :: Enum x => Int -> x

Convert from an array-index.

reflect :: Enum x => x -> x

Reflects about the mid-point of the axis.

translate :: (Enum x, Ord x) => (x -> x) -> x -> x

Translate the specified ordinate.

maybeTranslate :: (Enum x, Ord x) => (x -> x) -> x -> Maybe x

Where legal, translate the specified abscissa.

getAdjacents :: (Enum x, Eq x) => x -> [x]

Get the abscissae immediately left & right.

Constructors

listArrayByAbscissa :: (IArray a e, Ix x, Enum x) => [e] -> a x e

Array-constructor.

Predicates

inBounds :: (Enum x, Ord x) => x -> Bool

Predicate.