Safe Haskell	None
Language	Haskell2010

Data.Geometry.Boundary

Synopsis

newtype Boundary g = Boundary g
data PointLocationResult
- = Inside
- | OnBoundary
- | Outside

Documentation

newtype Boundary g Source #

The boundary of a geometric object.

Constructors

Boundary g

Instances

Functor Boundary Source #
Instance details Defined in Data.Geometry.Boundary Methods fmap :: (a -> b) -> Boundary a -> Boundary b # (<$) :: a -> Boundary b -> Boundary a #
Foldable Boundary Source #
Instance details Defined in Data.Geometry.Boundary Methods fold :: Monoid m => Boundary m -> 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 Source #
Instance details 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) Source #
Instance details Defined in Data.Geometry.Boundary Methods (==) :: Boundary g -> Boundary g -> Bool # (/=) :: Boundary g -> Boundary g -> Bool #
Ord g => Ord (Boundary g) Source #
Instance details 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) Source #
Instance details 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) Source #
Instance details Defined in Data.Geometry.Boundary Methods showsPrec :: Int -> Boundary g -> ShowS # show :: Boundary g -> String # showList :: [Boundary g] -> ShowS #
IsTransformable g => IsTransformable (Boundary g) Source #
Instance details Defined in Data.Geometry.Boundary Methods transformBy :: Transformation (Dimension (Boundary g)) (NumType (Boundary g)) -> Boundary g -> Boundary g Source #
(Ord r, Fractional r) => IsIntersectableWith (Line 2 r) (Boundary (Rectangle p r)) Source #
Instance details Defined in Data.Geometry.Line Methods intersect :: Line 2 r -> Boundary (Rectangle p r) -> Intersection (Line 2 r) (Boundary (Rectangle p r)) Source # intersects :: Line 2 r -> Boundary (Rectangle p r) -> Bool Source # nonEmptyIntersection :: proxy (Line 2 r) -> proxy (Boundary (Rectangle p r)) -> Intersection (Line 2 r) (Boundary (Rectangle p r)) -> Bool Source #
(Ord r, Floating r) => IsIntersectableWith (Line 2 r) (Circle p r) Source #
Instance details Defined in Data.Geometry.Ball Methods intersect :: Line 2 r -> Circle p r -> Intersection (Line 2 r) (Circle p r) Source # intersects :: Line 2 r -> Circle p r -> Bool Source # nonEmptyIntersection :: proxy (Line 2 r) -> proxy (Circle p r) -> Intersection (Line 2 r) (Circle p r) -> Bool Source #
(Ord r, Floating r) => IsIntersectableWith (LineSegment 2 p r) (Circle q r) Source #
Instance details Defined in Data.Geometry.Ball Methods intersect :: LineSegment 2 p r -> Circle q r -> Intersection (LineSegment 2 p r) (Circle q r) Source # intersects :: LineSegment 2 p r -> Circle q r -> Bool Source # nonEmptyIntersection :: proxy (LineSegment 2 p r) -> proxy (Circle q r) -> Intersection (LineSegment 2 p r) (Circle q r) -> Bool Source #
type NumType (Boundary g) Source #
Instance details Defined in Data.Geometry.Boundary type NumType (Boundary g) = NumType g
type Dimension (Boundary g) Source #
Instance details Defined in Data.Geometry.Boundary type Dimension (Boundary g) = Dimension g
type IntersectionOf (Line 2 r) (Boundary (Rectangle p r)) Source #
Instance details 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]))))
type IntersectionOf (Line 2 r) (Boundary (Polygon t p r)) Source #
Instance details Defined in Data.Geometry.Polygon type IntersectionOf (Line 2 r) (Boundary (Polygon t p r)) = Seq (Either (Point 2 r) (LineSegment 2 () r)) ': ([] :: [Type])
type IntersectionOf (Line 2 r) (Circle p r) Source #	No intersection, one touching point, or two points
Instance details 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])))
type IntersectionOf (LineSegment 2 p r) (Circle q r) Source #	A line segment may not intersect a circle, touch it, or intersect it properly in one or two points.
Instance details 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) ': ([] :: [Type]))))

data PointLocationResult Source #

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 Source #
Instance details Defined in Data.Geometry.Boundary Methods (==) :: PointLocationResult -> PointLocationResult -> Bool # (/=) :: PointLocationResult -> PointLocationResult -> Bool #
Read PointLocationResult Source #
Instance details Defined in Data.Geometry.Boundary Methods readsPrec :: Int -> ReadS PointLocationResult # readList :: ReadS [PointLocationResult] # readPrec :: ReadPrec PointLocationResult # readListPrec :: ReadPrec [PointLocationResult] #
Show PointLocationResult Source #
Instance details Defined in Data.Geometry.Boundary Methods showsPrec :: Int -> PointLocationResult -> ShowS # show :: PointLocationResult -> String # showList :: [PointLocationResult] -> ShowS #