| Copyright | (c) 2011-2015 diagrams-lib team (see LICENSE) |
|---|---|
| License | BSD-style (see LICENSE) |
| Maintainer | diagrams-discuss@googlegroups.com |
| Safe Haskell | None |
| Language | Haskell2010 |
Diagrams.TwoD.Path
Contents
Description
Paths in two dimensions are special since we may stroke them to create a 2D diagram, and (eventually) perform operations such as intersection and union. They also have a trace, whereas paths in higher dimensions do not.
- stroke :: (InSpace V2 n t, ToPath t, TypeableFloat n, Renderable (Path V2 n) b) => t -> QDiagram b V2 n Any
- stroke' :: (InSpace V2 n t, ToPath t, TypeableFloat n, Renderable (Path V2 n) b, IsName a) => StrokeOpts a -> t -> QDiagram b V2 n Any
- strokePath :: (TypeableFloat n, Renderable (Path V2 n) b) => Path V2 n -> QDiagram b V2 n Any
- strokeP :: (TypeableFloat n, Renderable (Path V2 n) b) => Path V2 n -> QDiagram b V2 n Any
- strokePath' :: (TypeableFloat n, Renderable (Path V2 n) b, IsName a) => StrokeOpts a -> Path V2 n -> QDiagram b V2 n Any
- strokeP' :: (TypeableFloat n, Renderable (Path V2 n) b, IsName a) => StrokeOpts a -> Path V2 n -> QDiagram b V2 n Any
- strokeTrail :: (TypeableFloat n, Renderable (Path V2 n) b) => Trail V2 n -> QDiagram b V2 n Any
- strokeT :: (TypeableFloat n, Renderable (Path V2 n) b) => Trail V2 n -> QDiagram b V2 n Any
- strokeTrail' :: (TypeableFloat n, Renderable (Path V2 n) b, IsName a) => StrokeOpts a -> Trail V2 n -> QDiagram b V2 n Any
- strokeT' :: (TypeableFloat n, Renderable (Path V2 n) b, IsName a) => StrokeOpts a -> Trail V2 n -> QDiagram b V2 n Any
- strokeLine :: (TypeableFloat n, Renderable (Path V2 n) b) => Trail' Line V2 n -> QDiagram b V2 n Any
- strokeLoop :: (TypeableFloat n, Renderable (Path V2 n) b) => Trail' Loop V2 n -> QDiagram b V2 n Any
- strokeLocTrail :: (TypeableFloat n, Renderable (Path V2 n) b) => Located (Trail V2 n) -> QDiagram b V2 n Any
- strokeLocT :: (TypeableFloat n, Renderable (Path V2 n) b) => Located (Trail V2 n) -> QDiagram b V2 n Any
- strokeLocLine :: (TypeableFloat n, Renderable (Path V2 n) b) => Located (Trail' Line V2 n) -> QDiagram b V2 n Any
- strokeLocLoop :: (TypeableFloat n, Renderable (Path V2 n) b) => Located (Trail' Loop V2 n) -> QDiagram b V2 n Any
- data FillRule
- getFillRule :: FillRule -> FillRule
- fillRule :: HasStyle a => FillRule -> a -> a
- _fillRule :: Lens' (Style V2 n) FillRule
- data StrokeOpts a = StrokeOpts {
- _vertexNames :: [[a]]
- _queryFillRule :: FillRule
- vertexNames :: Lens (StrokeOpts a) (StrokeOpts a') [[a]] [[a']]
- queryFillRule :: Lens' (StrokeOpts a) FillRule
- newtype Crossings = Crossings Int
- isInsideWinding :: HasQuery t Crossings => t -> Point (V t) (N t) -> Bool
- isInsideEvenOdd :: HasQuery t Crossings => t -> Point (V t) (N t) -> Bool
- newtype Clip n = Clip [Path V2 n]
- _Clip :: Iso (Clip n) (Clip n') [Path V2 n] [Path V2 n']
- _clip :: (Typeable n, OrderedField n) => Lens' (Style V2 n) [Path V2 n]
- clipBy :: (HasStyle a, V a ~ V2, N a ~ n, TypeableFloat n) => Path V2 n -> a -> a
- clipTo :: TypeableFloat n => Path V2 n -> QDiagram b V2 n Any -> QDiagram b V2 n Any
- clipped :: TypeableFloat n => Path V2 n -> QDiagram b V2 n Any -> QDiagram b V2 n Any
- intersectPoints :: (InSpace V2 n t, SameSpace t s, ToPath t, ToPath s, OrderedField n) => t -> s -> [P2 n]
- intersectPoints' :: (InSpace V2 n t, SameSpace t s, ToPath t, ToPath s, OrderedField n) => n -> t -> s -> [P2 n]
- intersectPointsP :: OrderedField n => Path V2 n -> Path V2 n -> [P2 n]
- intersectPointsP' :: OrderedField n => n -> Path V2 n -> Path V2 n -> [P2 n]
- intersectPointsT :: OrderedField n => Located (Trail V2 n) -> Located (Trail V2 n) -> [P2 n]
- intersectPointsT' :: OrderedField n => n -> Located (Trail V2 n) -> Located (Trail V2 n) -> [P2 n]
Constructing path-based diagrams
stroke :: (InSpace V2 n t, ToPath t, TypeableFloat n, Renderable (Path V2 n) b) => t -> QDiagram b V2 n Any Source #
Convert a ToPath object into a diagram. The resulting diagram has the
names 0, 1, ... assigned to each of the path's vertices.
See also stroke', which takes an extra options record allowing
its behaviour to be customized.
stroke::PathV2Double->Diagrambstroke::Located(TrailV2Double) ->Diagrambstroke::Located(Trail'LoopV2Double) ->Diagrambstroke::Located(Trail'LineV2Double) ->Diagramb
stroke' :: (InSpace V2 n t, ToPath t, TypeableFloat n, Renderable (Path V2 n) b, IsName a) => StrokeOpts a -> t -> QDiagram b V2 n Any Source #
A variant of stroke that takes an extra record of options to
customize its behaviour. In particular:
- Names can be assigned to the path's vertices
StrokeOpts is an instance of Default, so stroke' ( syntax may be used.with &
... )
strokePath :: (TypeableFloat n, Renderable (Path V2 n) b) => Path V2 n -> QDiagram b V2 n Any Source #
strokePath' :: (TypeableFloat n, Renderable (Path V2 n) b, IsName a) => StrokeOpts a -> Path V2 n -> QDiagram b V2 n Any Source #
strokeP' :: (TypeableFloat n, Renderable (Path V2 n) b, IsName a) => StrokeOpts a -> Path V2 n -> QDiagram b V2 n Any Source #
strokeTrail :: (TypeableFloat n, Renderable (Path V2 n) b) => Trail V2 n -> QDiagram b V2 n Any Source #
strokeT :: (TypeableFloat n, Renderable (Path V2 n) b) => Trail V2 n -> QDiagram b V2 n Any Source #
strokeTrail' :: (TypeableFloat n, Renderable (Path V2 n) b, IsName a) => StrokeOpts a -> Trail V2 n -> QDiagram b V2 n Any Source #
A composition of stroke' and pathFromTrail for conveniently
converting a trail directly into a diagram.
strokeT' :: (TypeableFloat n, Renderable (Path V2 n) b, IsName a) => StrokeOpts a -> Trail V2 n -> QDiagram b V2 n Any Source #
Deprecated synonym for strokeTrail'.
strokeLine :: (TypeableFloat n, Renderable (Path V2 n) b) => Trail' Line V2 n -> QDiagram b V2 n Any Source #
strokeLoop :: (TypeableFloat n, Renderable (Path V2 n) b) => Trail' Loop V2 n -> QDiagram b V2 n Any Source #
strokeLocTrail :: (TypeableFloat n, Renderable (Path V2 n) b) => Located (Trail V2 n) -> QDiagram b V2 n Any Source #
A convenience function for converting a Located Trail directly
into a diagram; strokeLocTrail = stroke . trailLike.
strokeLocT :: (TypeableFloat n, Renderable (Path V2 n) b) => Located (Trail V2 n) -> QDiagram b V2 n Any Source #
Deprecated synonym for strokeLocTrail.
strokeLocLine :: (TypeableFloat n, Renderable (Path V2 n) b) => Located (Trail' Line V2 n) -> QDiagram b V2 n Any Source #
A convenience function for converting a Located line directly
into a diagram; strokeLocLine = stroke . trailLike . mapLoc wrapLine.
strokeLocLoop :: (TypeableFloat n, Renderable (Path V2 n) b) => Located (Trail' Loop V2 n) -> QDiagram b V2 n Any Source #
A convenience function for converting a Located loop directly
into a diagram; strokeLocLoop = stroke . trailLike . mapLoc wrapLoop.
Stroke options
Enumeration of algorithms or "rules" for determining which points lie in the interior of a (possibly self-intersecting) path.
Constructors
| Winding | Interior points are those with a nonzero winding number. See http://en.wikipedia.org/wiki/Nonzero-rule. |
| EvenOdd | Interior points are those where a ray extended infinitely in a particular direction crosses the path an odd number of times. See http://en.wikipedia.org/wiki/Even-odd_rule. |
getFillRule :: FillRule -> FillRule Source #
Extract the fill rule from a FillRuleA attribute.
fillRule :: HasStyle a => FillRule -> a -> a Source #
Specify the fill rule that should be used for determining which points are inside a path.
data StrokeOpts a Source #
A record of options that control how a path is stroked.
StrokeOpts is an instance of Default, so a StrokeOpts
records can be created using notation.with { ... }
Constructors
| StrokeOpts | |
Fields
| |
Instances
| Default (StrokeOpts a) Source # | |
vertexNames :: Lens (StrokeOpts a) (StrokeOpts a') [[a]] [[a']] Source #
Atomic names that should be assigned to the vertices of the path so that they can be referenced later. If there are not enough names, the extra vertices are not assigned names; if there are too many, the extra names are ignored. Note that this is a list of lists of names, since paths can consist of multiple trails. The first list of names are assigned to the vertices of the first trail, the second list to the second trail, and so on.
The default value is the empty list.
queryFillRule :: Lens' (StrokeOpts a) FillRule Source #
Inside/outside testing
The sum of signed crossings of a path as we travel in the positive x direction from a given point.
- A point is filled according to the
Windingfill rule, if the number ofCrossingsis non-zero (seeisInsideWinding). - A point is filled according to the
EvenOddfill rule, if the number ofCrossingsis odd (seeisInsideEvenOdd).
This is the HasQuery result for Paths, Located Trails and
Located Loops.
sample::PathV2Double->PointV2Double->Crossingssample::Located(TrailV2Double) ->PointV2Double->Crossingssample::Located(Trail'LoopV2Double) ->PointV2Double->Crossings
Note that Lines have no inside or outside, so don't contribute
crossings
isInsideWinding :: HasQuery t Crossings => t -> Point (V t) (N t) -> Bool Source #
Test whether the given point is inside the given path,
by testing whether the point's winding number is nonzero. Note
that False is always returned for paths consisting of lines
(as opposed to loops), regardless of the winding number.
isInsideWinding::PathV2Double->PointV2Double->BoolisInsideWinding::Located(TrailV2Double) ->PointV2Double->BoolisInsideWinding::Located(Trail'LoopV2Double) ->PointV2Double->Bool
isInsideEvenOdd :: HasQuery t Crossings => t -> Point (V t) (N t) -> Bool Source #
Test whether the given point is inside the given path,
by testing whether a ray extending from the point in the positive
x direction crosses the path an even (outside) or odd (inside)
number of times. Note that False is always returned for
paths consisting of lines (as opposed to loops), regardless of
the number of crossings.
isInsideEvenOdd::PathV2Double->PointV2Double->BoolisInsideEvenOdd::Located(TrailV2Double) ->PointV2Double->BoolisInsideEvenOdd::Located(Trail'LoopV2Double) ->PointV2Double->Bool
Clipping
Clip tracks the accumulated clipping paths applied to a
diagram. Note that the semigroup structure on Clip is list
concatenation, so applying multiple clipping paths is sensible.
The clipping region is the intersection of all the applied
clipping paths.
Instances
| Semigroup (Clip n) Source # | |
| Typeable * n => AttributeClass (Clip n) Source # | |
| OrderedField n => Transformable (Clip n) Source # | |
| Wrapped (Clip n) Source # | |
| AsEmpty (Clip n) Source # | |
| (~) * (Clip n1) t => Rewrapped (Clip n2) t Source # | |
| RealFloat n => HasQuery (Clip n) All Source # | A point inside a clip if the point is in |
| type V (Clip n) Source # | |
| type N (Clip n) Source # | |
| type Unwrapped (Clip n) Source # | |
_clip :: (Typeable n, OrderedField n) => Lens' (Style V2 n) [Path V2 n] Source #
Lens onto the Clip in a style. An empty list means no clipping.
clipBy :: (HasStyle a, V a ~ V2, N a ~ n, TypeableFloat n) => Path V2 n -> a -> a Source #
Clip a diagram by the given path:
- Only the parts of the diagram which lie in the interior of the path will be drawn.
- The envelope of the diagram is unaffected.
clipTo :: TypeableFloat n => Path V2 n -> QDiagram b V2 n Any -> QDiagram b V2 n Any Source #
Clip a diagram to the given path setting its envelope to the pointwise minimum of the envelopes of the diagram and path. The trace consists of those parts of the original diagram's trace which fall within the clipping path, or parts of the path's trace within the original diagram.
clipped :: TypeableFloat n => Path V2 n -> QDiagram b V2 n Any -> QDiagram b V2 n Any Source #
Clip a diagram to the clip path taking the envelope and trace of the clip path.
Intersections
intersectPoints :: (InSpace V2 n t, SameSpace t s, ToPath t, ToPath s, OrderedField n) => t -> s -> [P2 n] Source #
Find the intersect points of two objects that can be converted to a path.
intersectPoints' :: (InSpace V2 n t, SameSpace t s, ToPath t, ToPath s, OrderedField n) => n -> t -> s -> [P2 n] Source #
Find the intersect points of two objects that can be converted to a path within the given tolerance.
intersectPointsP :: OrderedField n => Path V2 n -> Path V2 n -> [P2 n] Source #
Compute the intersect points between two paths.
intersectPointsP' :: OrderedField n => n -> Path V2 n -> Path V2 n -> [P2 n] Source #
Compute the intersect points between two paths within given tolerance.
intersectPointsT :: OrderedField n => Located (Trail V2 n) -> Located (Trail V2 n) -> [P2 n] Source #
Compute the intersect points between two located trails.
intersectPointsT' :: OrderedField n => n -> Located (Trail V2 n) -> Located (Trail V2 n) -> [P2 n] Source #
Compute the intersect points between two located trails within the given tolerance.
Orphan instances
| RealFloat n => HasQuery (Located (Trail V2 n)) Crossings Source # | |
| RealFloat n => HasQuery (Located (Trail' l V2 n)) Crossings Source # | |
| RealFloat n => Traced (Trail V2 n) Source # | |
| RealFloat n => Traced (Path V2 n) Source # | |
| RealFloat n => HasQuery (Path V2 n) Crossings Source # | |
| (TypeableFloat n, Renderable (Path V2 n) b) => TrailLike (QDiagram b V2 n Any) Source # | |