Safe Haskell	None
Language	Haskell2010

Data.Geometry.Slab

Synopsis

data Orthogonal
- = Horizontal
- | Vertical
newtype Slab (o :: Orthogonal) a r = Slab {
- _unSlab :: Interval a r
}
unSlab :: forall o a r o a r. Iso (Slab o a r) (Slab o a r) (Interval a r) (Interval a r)
horizontalSlab :: (r :+ a) -> (r :+ a) -> Slab Horizontal a r
verticalSlab :: (r :+ a) -> (r :+ a) -> Slab Vertical a r
class HasBoundingLines (o :: Orthogonal) where
- boundingLines :: Num r => Slab o a r -> (Line 2 r :+ a, Line 2 r :+ a)
- inSlab :: Ord r => Point 2 r -> Slab o a r -> Bool

Documentation

data Orthogonal Source #

Constructors

Horizontal
Vertical

Instances

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

newtype Slab (o :: Orthogonal) a r Source #

Constructors

Slab
Fields _unSlab :: Interval a r

Instances

Bifunctor (Slab o) Source #
Instance details Defined in Data.Geometry.Slab Methods bimap :: (a -> b) -> (c -> d) -> Slab o a c -> Slab o b d # first :: (a -> b) -> Slab o a c -> Slab o b c # second :: (b -> c) -> Slab o a b -> Slab o a c #
Functor (Slab o a) Source #
Instance details Defined in Data.Geometry.Slab Methods fmap :: (a0 -> b) -> Slab o a a0 -> Slab o a b # (<$) :: a0 -> Slab o a b -> Slab o a a0 #
Foldable (Slab o a) Source #
Instance details Defined in Data.Geometry.Slab Methods fold :: Monoid m => Slab o a m -> m # foldMap :: Monoid m => (a0 -> m) -> Slab o a a0 -> m # foldr :: (a0 -> b -> b) -> b -> Slab o a a0 -> b # foldr' :: (a0 -> b -> b) -> b -> Slab o a a0 -> b # foldl :: (b -> a0 -> b) -> b -> Slab o a a0 -> b # foldl' :: (b -> a0 -> b) -> b -> Slab o a a0 -> b # foldr1 :: (a0 -> a0 -> a0) -> Slab o a a0 -> a0 # foldl1 :: (a0 -> a0 -> a0) -> Slab o a a0 -> a0 # toList :: Slab o a a0 -> [a0] # null :: Slab o a a0 -> Bool # length :: Slab o a a0 -> Int # elem :: Eq a0 => a0 -> Slab o a a0 -> Bool # maximum :: Ord a0 => Slab o a a0 -> a0 # minimum :: Ord a0 => Slab o a a0 -> a0 # sum :: Num a0 => Slab o a a0 -> a0 # product :: Num a0 => Slab o a a0 -> a0 #
Traversable (Slab o a) Source #
Instance details Defined in Data.Geometry.Slab Methods traverse :: Applicative f => (a0 -> f b) -> Slab o a a0 -> f (Slab o a b) # sequenceA :: Applicative f => Slab o a (f a0) -> f (Slab o a a0) # mapM :: Monad m => (a0 -> m b) -> Slab o a a0 -> m (Slab o a b) # sequence :: Monad m => Slab o a (m a0) -> m (Slab o a a0) #
(Fractional r, Ord r, HasBoundingLines o) => IsIntersectableWith (Line 2 r) (Slab o a r) Source #
Instance details Defined in Data.Geometry.Slab Methods intersect :: Line 2 r -> Slab o a r -> Intersection (Line 2 r) (Slab o a r) Source # intersects :: Line 2 r -> Slab o a r -> Bool Source # nonEmptyIntersection :: proxy (Line 2 r) -> proxy (Slab o a r) -> Intersection (Line 2 r) (Slab o a r) -> Bool Source #
(Eq r, Eq a) => Eq (Slab o a r) Source #
Instance details Defined in Data.Geometry.Slab Methods (==) :: Slab o a r -> Slab o a r -> Bool # (/=) :: Slab o a r -> Slab o a r -> Bool #
(Show a, Show r) => Show (Slab o a r) Source #
Instance details Defined in Data.Geometry.Slab Methods showsPrec :: Int -> Slab o a r -> ShowS # show :: Slab o a r -> String # showList :: [Slab o a r] -> ShowS #
(Fractional r, Ord r, HasBoundingLines o) => IsIntersectableWith (LineSegment 2 a r) (Slab o a r) Source #
Instance details Defined in Data.Geometry.Slab Methods intersect :: LineSegment 2 a r -> Slab o a r -> Intersection (LineSegment 2 a r) (Slab o a r) Source # intersects :: LineSegment 2 a r -> Slab o a r -> Bool Source # nonEmptyIntersection :: proxy (LineSegment 2 a r) -> proxy (Slab o a r) -> Intersection (LineSegment 2 a r) (Slab o a r) -> Bool Source #
Ord r => IsIntersectableWith (Slab o a r) (Slab o a r) Source #
Instance details Defined in Data.Geometry.Slab Methods intersect :: Slab o a r -> Slab o a r -> Intersection (Slab o a r) (Slab o a r) Source # intersects :: Slab o a r -> Slab o a r -> Bool Source # nonEmptyIntersection :: proxy (Slab o a r) -> proxy (Slab o a r) -> Intersection (Slab o a r) (Slab o a r) -> Bool Source #
IsIntersectableWith (Slab Horizontal a r) (Slab Vertical a r) Source #
Instance details Defined in Data.Geometry.Slab Methods intersect :: Slab Horizontal a r -> Slab Vertical a r -> Intersection (Slab Horizontal a r) (Slab Vertical a r) Source # intersects :: Slab Horizontal a r -> Slab Vertical a r -> Bool Source # nonEmptyIntersection :: proxy (Slab Horizontal a r) -> proxy (Slab Vertical a r) -> Intersection (Slab Horizontal a r) (Slab Vertical a r) -> Bool Source #
(Fractional r, Ord r, HasBoundingLines o) => IsIntersectableWith (SubLine 2 a r r) (Slab o a r) Source #
Instance details Defined in Data.Geometry.Slab Methods intersect :: SubLine 2 a r r -> Slab o a r -> Intersection (SubLine 2 a r r) (Slab o a r) Source # intersects :: SubLine 2 a r r -> Slab o a r -> Bool Source # nonEmptyIntersection :: proxy (SubLine 2 a r r) -> proxy (Slab o a r) -> Intersection (SubLine 2 a r r) (Slab o a r) -> Bool Source #
type IntersectionOf (Line 2 r) (Slab o a r) Source #
Instance details Defined in Data.Geometry.Slab type IntersectionOf (Line 2 r) (Slab o a r) = NoIntersection ': (Line 2 r ': (LineSegment 2 a r ': ([] :: [Type])))
type IntersectionOf (LineSegment 2 p r) (Slab o a r) Source #
Instance details Defined in Data.Geometry.Slab type IntersectionOf (LineSegment 2 p r) (Slab o a r) = NoIntersection ': (LineSegment 2 () r ': ([] :: [Type]))
type IntersectionOf (Slab o a r) (Slab o a r) Source #
Instance details Defined in Data.Geometry.Slab type IntersectionOf (Slab o a r) (Slab o a r) = NoIntersection ': (Slab o a r ': ([] :: [Type]))
type IntersectionOf (Slab Horizontal a r) (Slab Vertical a r) Source #
Instance details Defined in Data.Geometry.Slab type IntersectionOf (Slab Horizontal a r) (Slab Vertical a r) = Rectangle (a, a) r ': ([] :: [Type])
type IntersectionOf (SubLine 2 p s r) (Slab o a r) Source #
Instance details Defined in Data.Geometry.Slab type IntersectionOf (SubLine 2 p s r) (Slab o a r) = NoIntersection ': (SubLine 2 () s r ': ([] :: [Type]))

unSlab :: forall o a r o a r. Iso (Slab o a r) (Slab o a r) (Interval a r) (Interval a r) Source #

horizontalSlab :: (r :+ a) -> (r :+ a) -> Slab Horizontal a r Source #

Smart consturctor for creating a horizontal slab

verticalSlab :: (r :+ a) -> (r :+ a) -> Slab Vertical a r Source #

Smart consturctor for creating a vertical slab

class HasBoundingLines (o :: Orthogonal) where Source #

Methods

boundingLines :: Num r => Slab o a r -> (Line 2 r :+ a, Line 2 r :+ a) Source #

The two bounding lines of the slab, first the lower one, then the higher one:

inSlab :: Ord r => Point 2 r -> Slab o a r -> Bool Source #

Instances

HasBoundingLines Horizontal Source #
Instance details Defined in Data.Geometry.Slab Methods boundingLines :: Num r => Slab Horizontal a r -> (Line 2 r :+ a, Line 2 r :+ a) Source # inSlab :: Ord r => Point 2 r -> Slab Horizontal a r -> Bool Source #
HasBoundingLines Vertical Source #
Instance details Defined in Data.Geometry.Slab Methods boundingLines :: Num r => Slab Vertical a r -> (Line 2 r :+ a, Line 2 r :+ a) Source # inSlab :: Ord r => Point 2 r -> Slab Vertical a r -> Bool Source #