BishBosh.Cartesian.Abscissa

AUTHOR

Dr. Alistair Ward

DESCRIPTION

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

Types

type ByAbscissa x = Array x

A boxed array indexed by coordinates, of arbitrary elements.

Constants

xOrigin :: Int

The constant length of the x-axis.

xLength :: Distance

The constant length of the x-axis.

xMin :: Enum x => x

The constant lower bound of the abscissa.

xMax :: Enum x => x

The constant upper bound of the abscissa.

xRange :: Enum x => [x]

The constant list of abscissa.

centre :: Fractional centre => centre

• The constant centre of the span.
• CAVEAT: no square actually exists at this fractional value.

Functions

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.