Safe Haskell	None
Language	Haskell2010

Data.Geometry.HalfLine

Contents

$d$-dimensional Half-Lines

Synopsis

data HalfLine d r = HalfLine {
- _startPoint :: Point d r
- _halfLineDirection :: 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)
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)
onHalfLine :: (Ord r, Fractional r, Arity d) => Point d r -> HalfLine d r -> Bool
toHalfLine :: (Num r, Arity d) => LineSegment d p r -> HalfLine d r

$d$-dimensional Half-Lines

data HalfLine d r Source #

Constructors

HalfLine
Fields _startPoint :: Point d r _halfLineDirection :: Vector d r

Instances

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 # 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 #
(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) :: Type Source # type StartExtra (HalfLine d r) :: Type 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 #
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-0.11.0.0-5Q7X7STHtn33ZJbJEL0QVy" 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) (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]))))
type IntersectionOf (HalfLine 2 r) (Line 2 r) Source #
Instance details Defined in Data.Geometry.HalfLine type IntersectionOf (HalfLine 2 r) (Line 2 r) = NoIntersection ': (Point 2 r ': (HalfLine 2 r ': ([] :: [Type])))
type IntersectionOf (HalfLine 2 r) (LineSegment 2 p r) Source #
Instance details Defined in Data.Geometry.HalfLine type IntersectionOf (HalfLine 2 r) (LineSegment 2 p r) = NoIntersection ': (Point 2 r ': (LineSegment 2 () r ': ([] :: [Type])))

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

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

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 #

onHalfLine :: (Ord r, Fractional r, Arity d) => Point d r -> HalfLine d r -> Bool Source #

Test if a point lies on a half-line

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.

\(d\)-dimensional Half-Lines