Copyright	(C) Frank Staals
License	see the LICENSE file
Maintainer	Frank Staals
Safe Haskell	None
Language	Haskell2010

Data.Geometry.HalfLine

Description

Synopsis

data HalfLine d r = HalfLine (Point d r) (Vector d r)
startPoint :: forall d r. Lens' (HalfLine d r) (Point d r)
halfLineDirection :: forall d r. Lens' (HalfLine d r) (Vector d r)
toHalfLine :: (Num r, Arity d) => LineSegment d p r -> HalfLine d r
halfLineToSubLine :: (Arity d, Num r) => HalfLine d r -> SubLine d () (UnBounded r) r
fromSubLine :: (Num r, Arity d) => SubLine d p (UnBounded r) r -> Maybe (HalfLine d r)

Documentation

data HalfLine d r Source #

$d$-dimensional Half-Lines

Constructors

HalfLine (Point d r) (Vector d r)

Instances

Instances details

Arity d => Functor (HalfLine d) Source #
Instance details Defined in Data.Geometry.HalfLine Methods fmap :: (a -> b) -> HalfLine d a -> HalfLine d b # (<$) :: a -> HalfLine d b -> HalfLine d a #
Arity d => Foldable (HalfLine d) Source #
Instance details Defined in Data.Geometry.HalfLine Methods fold :: Monoid m => HalfLine d m -> m # foldMap :: Monoid m => (a -> m) -> HalfLine d a -> m # foldMap' :: Monoid m => (a -> m) -> HalfLine d a -> m # foldr :: (a -> b -> b) -> b -> HalfLine d a -> b # foldr' :: (a -> b -> b) -> b -> HalfLine d a -> b # foldl :: (b -> a -> b) -> b -> HalfLine d a -> b # foldl' :: (b -> a -> b) -> b -> HalfLine d a -> b # foldr1 :: (a -> a -> a) -> HalfLine d a -> a # foldl1 :: (a -> a -> a) -> HalfLine d a -> a # toList :: HalfLine d a -> [a] # null :: HalfLine d a -> Bool # length :: HalfLine d a -> Int # elem :: Eq a => a -> HalfLine d a -> Bool # maximum :: Ord a => HalfLine d a -> a # minimum :: Ord a => HalfLine d a -> a # sum :: Num a => HalfLine d a -> a # product :: Num a => HalfLine d a -> a #
Arity d => Traversable (HalfLine d) Source #
Instance details Defined in Data.Geometry.HalfLine Methods traverse :: Applicative f => (a -> f b) -> HalfLine d a -> f (HalfLine d b) # sequenceA :: Applicative f => HalfLine d (f a) -> f (HalfLine d a) # mapM :: Monad m => (a -> m b) -> HalfLine d a -> m (HalfLine d b) # sequence :: Monad m => HalfLine d (m a) -> m (HalfLine d a) #
(Eq r, Fractional r, Arity d) => Eq (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine Methods (==) :: HalfLine d r -> HalfLine d r -> Bool # (/=) :: HalfLine d r -> HalfLine d r -> Bool #
(Eq r, Fractional r) => Eq (HalfLine 2 r) Source #
Instance details Defined in Data.Geometry.HalfLine Methods (==) :: HalfLine 2 r -> HalfLine 2 r -> Bool # (/=) :: HalfLine 2 r -> HalfLine 2 r -> Bool #
(Show r, Arity d) => Show (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine Methods showsPrec :: Int -> HalfLine d r -> ShowS # show :: HalfLine d r -> String # showList :: [HalfLine d r] -> ShowS #
Generic (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine Associated Types type Rep (HalfLine d r) :: Type -> Type # Methods from :: HalfLine d r -> Rep (HalfLine d r) x # to :: Rep (HalfLine d r) x -> HalfLine d r #
(NFData r, Arity d) => NFData (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine Methods rnf :: HalfLine d r -> () #
HasStart (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine Associated Types type StartCore (HalfLine d r) Source # type StartExtra (HalfLine d r) Source # Methods start :: Lens' (HalfLine d r) (StartCore (HalfLine d r) :+ StartExtra (HalfLine d r)) Source #
(Fractional r, Arity d, Arity (d + 1)) => IsTransformable (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine Methods transformBy :: Transformation (Dimension (HalfLine d r)) (NumType (HalfLine d r)) -> HalfLine d r -> HalfLine d r Source #
HasSupportingLine (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine Methods supportingLine :: HalfLine d r -> Line (Dimension (HalfLine d r)) (NumType (HalfLine d r)) Source #
(Ord r, Fractional r) => IsIntersectableWith (HalfLine 2 r) (Boundary (Rectangle p r)) Source #
Instance details 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, Fractional r, Arity d) => IsIntersectableWith (Point d r) (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine Methods intersect :: Point d r -> HalfLine d r -> Intersection (Point d r) (HalfLine d r) # intersects :: Point d r -> HalfLine d r -> Bool # nonEmptyIntersection :: proxy (Point d r) -> proxy (HalfLine d r) -> Intersection (Point d r) (HalfLine d r) -> Bool #
(Ord r, Fractional r) => IsIntersectableWith (HalfLine 2 r) (Rectangle p r) Source #
Instance details Defined in Data.Geometry.HalfLine Methods intersect :: HalfLine 2 r -> Rectangle p r -> Intersection (HalfLine 2 r) (Rectangle p r) # intersects :: HalfLine 2 r -> Rectangle p r -> Bool # nonEmptyIntersection :: proxy (HalfLine 2 r) -> proxy (Rectangle p r) -> Intersection (HalfLine 2 r) (Rectangle p r) -> Bool #
(Ord r, Fractional r) => IsIntersectableWith (HalfLine 2 r) (HalfLine 2 r) Source #
Instance details Defined in Data.Geometry.HalfLine Methods intersect :: HalfLine 2 r -> HalfLine 2 r -> Intersection (HalfLine 2 r) (HalfLine 2 r) # intersects :: HalfLine 2 r -> HalfLine 2 r -> Bool # nonEmptyIntersection :: proxy (HalfLine 2 r) -> proxy (HalfLine 2 r) -> Intersection (HalfLine 2 r) (HalfLine 2 r) -> Bool #
(Ord r, Fractional r) => IsIntersectableWith (HalfLine 2 r) (Line 2 r) Source #
Instance details Defined in Data.Geometry.HalfLine Methods intersect :: HalfLine 2 r -> Line 2 r -> Intersection (HalfLine 2 r) (Line 2 r) # intersects :: HalfLine 2 r -> Line 2 r -> Bool # nonEmptyIntersection :: proxy (HalfLine 2 r) -> proxy (Line 2 r) -> Intersection (HalfLine 2 r) (Line 2 r) -> Bool #
(Ord r, Fractional r) => IsIntersectableWith (LineSegment 2 () r) (HalfLine 2 r) Source #
Instance details Defined in Data.Geometry.HalfLine Methods intersect :: LineSegment 2 () r -> HalfLine 2 r -> Intersection (LineSegment 2 () r) (HalfLine 2 r) # intersects :: LineSegment 2 () r -> HalfLine 2 r -> Bool # nonEmptyIntersection :: proxy (LineSegment 2 () r) -> proxy (HalfLine 2 r) -> Intersection (LineSegment 2 () r) (HalfLine 2 r) -> Bool #
type Rep (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine type Rep (HalfLine d r) = D1 ('MetaData "HalfLine" "Data.Geometry.HalfLine" "hgeometry-0.12.0.0-3A6BqD11e4bE4Mwo2IplDZ" 'False) (C1 ('MetaCons "HalfLine" 'PrefixI 'True) (S1 ('MetaSel ('Just "_startPoint") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Point d r)) :*: S1 ('MetaSel ('Just "_halfLineDirection") 'NoSourceUnpackedness 'NoSourceStrictness 'DecidedLazy) (Rec0 (Vector d r))))
type NumType (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine type NumType (HalfLine d r) = r
type Dimension (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine type Dimension (HalfLine d r) = d
type StartCore (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine type StartCore (HalfLine d r) = Point d r
type StartExtra (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine type StartExtra (HalfLine d r) = ()
type IntersectionOf (HalfLine 2 r) (Boundary (Rectangle p r)) Source #
Instance details 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 (Point d r) (HalfLine d r) Source #
Instance details Defined in Data.Geometry.HalfLine type IntersectionOf (Point d r) (HalfLine d r) = '[NoIntersection, Point d r]
type IntersectionOf (HalfLine d r) (Line d r) Source #
Instance details Defined in Data.Geometry.HalfLine type IntersectionOf (HalfLine d r) (Line d r) = '[NoIntersection, Point d r, HalfLine d r]
type IntersectionOf (HalfLine 2 r) (Rectangle p r) Source #
Instance details Defined in Data.Geometry.HalfLine type IntersectionOf (HalfLine 2 r) (Rectangle p r) = '[NoIntersection, Point 2 r, LineSegment 2 () r]
type IntersectionOf (HalfLine 2 r) (HalfLine 2 r) Source #
Instance details Defined in Data.Geometry.HalfLine type IntersectionOf (HalfLine 2 r) (HalfLine 2 r) = '[NoIntersection, Point 2 r, LineSegment 2 () r, HalfLine 2 r]
type IntersectionOf (LineSegment 2 p r) (HalfLine 2 r) Source #
Instance details Defined in Data.Geometry.HalfLine type IntersectionOf (LineSegment 2 p r) (HalfLine 2 r) = '[NoIntersection, Point 2 r, LineSegment 2 () r]

startPoint :: forall d r. Lens' (HalfLine d r) (Point d r) Source #

halfLineDirection :: forall d r. Lens' (HalfLine d r) (Vector d r) Source #

toHalfLine :: (Num r, Arity d) => LineSegment d p r -> HalfLine d r Source #

Transform a LineSegment into a half-line, by forgetting the second endpoint. Note that this also forgets about if the starting point was open or closed.

halfLineToSubLine :: (Arity d, Num r) => HalfLine d r -> SubLine d () (UnBounded r) r Source #

fromSubLine :: (Num r, Arity d) => SubLine d p (UnBounded r) r -> Maybe (HalfLine d r) Source #