NumHask.Space.XY

Unification of a point on the XY-plane and a rectangle on the XY-plane.

Documentation

data XY a

unification of a point and rect on the plane

Constructors

PointXY (Point a)

RectXY (Rect a)

Instances

Functor XY

Defined in NumHask.Space.XY

Methods

fmap :: (a -> b) -> XY a -> XY b

(<$) :: a -> XY b -> XY a

Eq a => Eq (XY a)

Defined in NumHask.Space.XY

Methods

(==) :: XY a -> XY a -> Bool

(/=) :: XY a -> XY a -> Bool

Show a => Show (XY a)

Defined in NumHask.Space.XY

Methods

showsPrec :: Int -> XY a -> ShowS

show :: XY a -> String

showList :: [XY a] -> ShowS

Ord a => Semigroup (XY a)

Defined in NumHask.Space.XY

Methods

(<>) :: XY a -> XY a -> XY a

sconcat :: NonEmpty (XY a) -> XY a

stimes :: Integral b => b -> XY a -> XY a

(Ord a, Field a, Signed a) => Signed (XY a)

Defined in NumHask.Space.XY

Methods

sign :: XY a -> XY a

abs :: XY a -> XY a

(Ord a, Field a) => Multiplicative (XY a)

Defined in NumHask.Space.XY

Methods

(*) :: XY a -> XY a -> XY a

one :: XY a

Additive a => Additive (XY a)

Defined in NumHask.Space.XY

Methods

(+) :: XY a -> XY a -> XY a

zero :: XY a

(Ord a, Subtractive a) => Subtractive (XY a)

Defined in NumHask.Space.XY

Methods

negate :: XY a -> XY a

(-) :: XY a -> XY a -> XY a

pattern P :: a -> a -> XY a

make an XY from a point

pattern R :: a -> a -> a -> a -> XY a

make an XY from a rectangle

toRect :: XY a -> Rect a

Convert a spot to a Rect

toPoint :: (Ord a, Field a) => XY a -> Point a

Convert a spot to a Point

projectOn :: Rect Double -> Rect Double -> XY Double -> XY Double

project an XY from one Rect to another, preserving relative position.

>>> projectOn one (Rect 0 1 0 1) zero
PointXY Point -0.5 -0.5

projectTo :: Rect Double -> [XY Double] -> [XY Double]

project a [Spot a] from it's folded space to the given area

>>> projectTo one (SpotPoint <$> zipWith Point [0..2] [0..2])
[SpotPoint Point -0.5 -0.5,SpotPoint Point 0.0 0.0,SpotPoint Point 0.5 0.5]

fixRect :: Maybe (Rect Double) -> Rect Double

guard substituting singleton dimensions