Data.Geometry.PolyLine

d-dimensional Polygonal Lines (PolyLines)

newtype PolyLine d p r

A Poly line in R^d

Constructors

PolyLine

Fields

• _points :: Seq2 (Point d r :+ p)

Instances

Arity d => Bifunctor (PolyLine d)

Methods

bimap :: (a -> b) -> (c -> d) -> PolyLine d a c -> PolyLine d b d

first :: (a -> b) -> PolyLine d a c -> PolyLine d b c

second :: (b -> c) -> PolyLine d a b -> PolyLine d a c

Arity d => Functor (PolyLine d p)

Methods

fmap :: (a -> b) -> PolyLine d p a -> PolyLine d p b

(<$) :: a -> PolyLine d p b -> PolyLine d p a

PointFunctor (PolyLine d p)

Methods

pmap :: (Point (Dimension (PolyLine d p r)) r -> Point (Dimension (PolyLine d p s)) s) -> PolyLine d p r -> PolyLine d p s

(Eq r, Eq p, Arity d) => Eq (PolyLine d p r)

Methods

(==) :: PolyLine d p r -> PolyLine d p r -> Bool

(/=) :: PolyLine d p r -> PolyLine d p r -> Bool

(Ord r, Ord p, Arity d) => Ord (PolyLine d p r)

Methods

compare :: PolyLine d p r -> PolyLine d p r -> Ordering

(<) :: PolyLine d p r -> PolyLine d p r -> Bool

(<=) :: PolyLine d p r -> PolyLine d p r -> Bool

(>) :: PolyLine d p r -> PolyLine d p r -> Bool

(>=) :: PolyLine d p r -> PolyLine d p r -> Bool

max :: PolyLine d p r -> PolyLine d p r -> PolyLine d p r

min :: PolyLine d p r -> PolyLine d p r -> PolyLine d p r

(Show r, Show p, Arity d) => Show (PolyLine d p r)

Methods

showsPrec :: Int -> PolyLine d p r -> ShowS

show :: PolyLine d p r -> String

showList :: [PolyLine d p r] -> ShowS

Semigroup (PolyLine d p r)

Methods

(<>) :: PolyLine d p r -> PolyLine d p r -> PolyLine d p r

sconcat :: NonEmpty (PolyLine d p r) -> PolyLine d p r

stimes :: Integral b => b -> PolyLine d p r -> PolyLine d p r

(Num r, AlwaysTruePFT d) => IsTransformable (PolyLine d p r)

Methods

transformBy :: Transformation (Dimension (PolyLine d p r)) (NumType (PolyLine d p r)) -> PolyLine d p r -> PolyLine d p r

Arity d => IsBoxable (PolyLine d p r)

Methods

boundingBox :: PolyLine d p r -> Box (Dimension (PolyLine d p r)) () (NumType (PolyLine d p r))

Coordinate r => IpeRead (PolyLine 2 () r)

Methods

ipeRead :: Node Text Text -> Either ConversionError (PolyLine 2 () r)

Coordinate r => IpeReadText (PolyLine 2 () r)

Methods

ipeReadText :: Text -> Either ConversionError (PolyLine 2 () r)

(IpeWriteText r, IpeWrite p) => IpeWrite (PolyLine 2 p r)

Methods

ipeWrite :: PolyLine 2 p r -> Maybe (Node Text Text)

IpeWriteText r => IpeWriteText (PolyLine 2 () r)

Methods

ipeWriteText :: PolyLine 2 () r -> Maybe Text

HasDefaultIpeOut (PolyLine 2 p r)

Associated Types

type DefaultIpeOut (PolyLine 2 p r) :: * -> *

Methods

defaultIpeOut :: IpeOut (PolyLine 2 p r) (IpeObject' (DefaultIpeOut (PolyLine 2 p r)) (NumType (PolyLine 2 p r)))

type NumType (PolyLine d p r)

type NumType (PolyLine d p r) = r

type Dimension (PolyLine d p r)

type Dimension (PolyLine d p r) = d

type DefaultIpeOut (PolyLine 2 p r)

type DefaultIpeOut (PolyLine 2 p r) = Path

points :: forall d p r d p r. Iso (PolyLine d p r) (PolyLine d p r) (Seq2 ((:+) (Point d r) p)) (Seq2 ((:+) (Point d r) p))

fromPoints :: [Point d r :+ p] -> PolyLine d p r

pre: The input list contains at least two points

fromPoints' :: Monoid p => [Point d r] -> PolyLine d p r

pre: The input list contains at least two points. All extra vields are initialized with mempty.

fromLineSegment :: LineSegment d p r -> PolyLine d p r

We consider the line-segment as closed.

asLineSegment :: PolyLine d p r -> LineSegment d p r

Convert to a closed line segment by taking the first two points.

asLineSegment' :: PolyLine d p r -> Maybe (LineSegment d p r)

Stricter version of asLineSegment that fails if the Polyline contains more than two points.