Data.Geometry.Boundary

Documentation

newtype Boundary g

The boundary of a geometric object.

Constructors

Boundary g

Instances

Functor Boundary

Defined in Data.Geometry.Boundary

Methods

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

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

Foldable Boundary

Defined in Data.Geometry.Boundary

Methods

fold :: Monoid m => Boundary m -> m

foldMap :: Monoid m => (a -> m) -> Boundary a -> m

foldMap' :: Monoid m => (a -> m) -> Boundary a -> m

foldr :: (a -> b -> b) -> b -> Boundary a -> b

foldr' :: (a -> b -> b) -> b -> Boundary a -> b

foldl :: (b -> a -> b) -> b -> Boundary a -> b

foldl' :: (b -> a -> b) -> b -> Boundary a -> b

foldr1 :: (a -> a -> a) -> Boundary a -> a

foldl1 :: (a -> a -> a) -> Boundary a -> a

toList :: Boundary a -> [a]

null :: Boundary a -> Bool

length :: Boundary a -> Int

elem :: Eq a => a -> Boundary a -> Bool

maximum :: Ord a => Boundary a -> a

minimum :: Ord a => Boundary a -> a

sum :: Num a => Boundary a -> a

product :: Num a => Boundary a -> a

Traversable Boundary

Defined in Data.Geometry.Boundary

Methods

traverse :: Applicative f => (a -> f b) -> Boundary a -> f (Boundary b)

sequenceA :: Applicative f => Boundary (f a) -> f (Boundary a)

mapM :: Monad m => (a -> m b) -> Boundary a -> m (Boundary b)

sequence :: Monad m => Boundary (m a) -> m (Boundary a)

Eq g => Eq (Boundary g)

Defined in Data.Geometry.Boundary

Methods

(==) :: Boundary g -> Boundary g -> Bool

(/=) :: Boundary g -> Boundary g -> Bool

Ord g => Ord (Boundary g)

Defined in Data.Geometry.Boundary

Methods

compare :: Boundary g -> Boundary g -> Ordering

(<) :: Boundary g -> Boundary g -> Bool

(<=) :: Boundary g -> Boundary g -> Bool

(>) :: Boundary g -> Boundary g -> Bool

(>=) :: Boundary g -> Boundary g -> Bool

max :: Boundary g -> Boundary g -> Boundary g

min :: Boundary g -> Boundary g -> Boundary g

Read g => Read (Boundary g)

Defined in Data.Geometry.Boundary

Methods

readsPrec :: Int -> ReadS (Boundary g)

readList :: ReadS [Boundary g]

readPrec :: ReadPrec (Boundary g)

readListPrec :: ReadPrec [Boundary g]

Show g => Show (Boundary g)

Defined in Data.Geometry.Boundary

Methods

showsPrec :: Int -> Boundary g -> ShowS

show :: Boundary g -> String

showList :: [Boundary g] -> ShowS

IsTransformable g => IsTransformable (Boundary g)

Defined in Data.Geometry.Boundary

Methods

transformBy :: Transformation (Dimension (Boundary g)) (NumType (Boundary g)) -> Boundary g -> Boundary g

(Ord r, Fractional r) => IsIntersectableWith (Line 2 r) (Boundary (Rectangle p r))

Defined in Data.Geometry.Line

Methods

intersect :: Line 2 r -> Boundary (Rectangle p r) -> Intersection (Line 2 r) (Boundary (Rectangle p r))

intersects :: Line 2 r -> Boundary (Rectangle p r) -> Bool

nonEmptyIntersection :: proxy (Line 2 r) -> proxy (Boundary (Rectangle p r)) -> Intersection (Line 2 r) (Boundary (Rectangle p r)) -> Bool

(Ord r, Fractional r) => IsIntersectableWith (HalfLine 2 r) (Boundary (Rectangle p r))

Defined in Data.Geometry.HalfLine

Methods

intersect :: HalfLine 2 r -> Boundary (Rectangle p r) -> Intersection (HalfLine 2 r) (Boundary (Rectangle p r))

intersects :: HalfLine 2 r -> Boundary (Rectangle p r) -> Bool

nonEmptyIntersection :: proxy (HalfLine 2 r) -> proxy (Boundary (Rectangle p r)) -> Intersection (HalfLine 2 r) (Boundary (Rectangle p r)) -> Bool

(Ord r, Floating r) => IsIntersectableWith (Line 2 r) (Circle p r)

Defined in Data.Geometry.Ball

Methods

intersect :: Line 2 r -> Circle p r -> Intersection (Line 2 r) (Circle p r)

intersects :: Line 2 r -> Circle p r -> Bool

nonEmptyIntersection :: proxy (Line 2 r) -> proxy (Circle p r) -> Intersection (Line 2 r) (Circle p r) -> Bool

(Ord r, Floating r) => IsIntersectableWith (LineSegment 2 p r) (Circle q r)

Defined in Data.Geometry.Ball

Methods

intersect :: LineSegment 2 p r -> Circle q r -> Intersection (LineSegment 2 p r) (Circle q r)

intersects :: LineSegment 2 p r -> Circle q r -> Bool

nonEmptyIntersection :: proxy (LineSegment 2 p r) -> proxy (Circle q r) -> Intersection (LineSegment 2 p r) (Circle q r) -> Bool

type NumType (Boundary g)

Defined in Data.Geometry.Boundary

type NumType (Boundary g) = NumType g

type Dimension (Boundary g)

Defined in Data.Geometry.Boundary

type Dimension (Boundary g) = Dimension g

type IntersectionOf (Line 2 r) (Boundary (Rectangle p r))

Defined in Data.Geometry.Line

type IntersectionOf (Line 2 r) (Boundary (Rectangle p r)) = '[NoIntersection, Point 2 r, (Point 2 r, Point 2 r), LineSegment 2 () r]

type IntersectionOf (Line 2 r) (Boundary (Polygon t p r))

Defined in Data.Geometry.Polygon

type IntersectionOf (Line 2 r) (Boundary (Polygon t p r)) = '[Seq (Either (Point 2 r) (LineSegment 2 () r))]

type IntersectionOf (HalfLine 2 r) (Boundary (Rectangle p r))

Defined in Data.Geometry.HalfLine

type IntersectionOf (HalfLine 2 r) (Boundary (Rectangle p r)) = '[NoIntersection, Point 2 r, (Point 2 r, Point 2 r), LineSegment 2 () r]

type IntersectionOf (Line 2 r) (Circle p r)

No intersection, one touching point, or two points

Defined in Data.Geometry.Ball

type IntersectionOf (Line 2 r) (Circle p r) = '[NoIntersection, Touching (Point 2 r), (Point 2 r, Point 2 r)]

type IntersectionOf (LineSegment 2 p r) (Circle q r)

A line segment may not intersect a circle, touch it, or intersect it properly in one or two points.

Defined in Data.Geometry.Ball

type IntersectionOf (LineSegment 2 p r) (Circle q r) = '[NoIntersection, Touching (Point 2 r), Point 2 r, (Point 2 r, Point 2 r)]

_Boundary :: Iso g h (Boundary g) (Boundary h)

Iso for converting between things with a boundary and without its boundary

data PointLocationResult

Result of a query that asks if something is Inside a g, *on* the boundary of the g, or outside.

Constructors

Inside

OnBoundary

Outside

Instances

Eq PointLocationResult

Defined in Data.Geometry.Boundary

Methods

(==) :: PointLocationResult -> PointLocationResult -> Bool

(/=) :: PointLocationResult -> PointLocationResult -> Bool

Read PointLocationResult

Defined in Data.Geometry.Boundary

Methods

readsPrec :: Int -> ReadS PointLocationResult

readList :: ReadS [PointLocationResult]

readPrec :: ReadPrec PointLocationResult

readListPrec :: ReadPrec [PointLocationResult]

Show PointLocationResult

Defined in Data.Geometry.Boundary

Methods

showsPrec :: Int -> PointLocationResult -> ShowS

show :: PointLocationResult -> String

showList :: [PointLocationResult] -> ShowS