Deploying to gh-pages from @ cc21527078 🚀

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Lemmih 2020-08-25 08:09:27 +00:00
commit a36ae34f44
4 changed files with 295 additions and 257 deletions

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@ -19,6 +19,7 @@
75% ( 6 / 8) in 'Reanimate.Builtin.Documentation' 75% ( 6 / 8) in 'Reanimate.Builtin.Documentation'
75% ( 3 / 4) in 'Reanimate.Svg.Unuse' 75% ( 3 / 4) in 'Reanimate.Svg.Unuse'
67% ( 4 / 6) in 'Reanimate.Builtin.Images' 67% ( 4 / 6) in 'Reanimate.Builtin.Images'
62% ( 23 / 37) in 'Reanimate.Internal.CubicBezier'
56% ( 10 / 18) in 'Reanimate.Svg' 56% ( 10 / 18) in 'Reanimate.Svg'
50% ( 1 / 2) in 'Reanimate.Builtin.CirclePlot' 50% ( 1 / 2) in 'Reanimate.Builtin.CirclePlot'
44% ( 4 / 9) in 'Reanimate.LaTeX' 44% ( 4 / 9) in 'Reanimate.LaTeX'
@ -29,7 +30,6 @@
7% ( 2 / 30) in 'Reanimate.Math.Common' 7% ( 2 / 30) in 'Reanimate.Math.Common'
6% ( 5 / 83) in 'Reanimate.Math.Polygon' 6% ( 5 / 83) in 'Reanimate.Math.Polygon'
6% ( 1 / 18) in 'Reanimate.Svg.LineCommand' 6% ( 1 / 18) in 'Reanimate.Svg.LineCommand'
0% ( 0 / 37) in 'Reanimate.Internal.CubicBezier'
0% ( 0 / 13) in 'Reanimate.Morph.Common' 0% ( 0 / 13) in 'Reanimate.Morph.Common'
0% ( 0 / 10) in 'Reanimate.ColorSpace' 0% ( 0 / 10) in 'Reanimate.ColorSpace'
0% ( 0 / 10) in 'Reanimate.Builtin.TernaryPlot' 0% ( 0 / 10) in 'Reanimate.Builtin.TernaryPlot'

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@ -1 +1 @@
{ "schemaVersion": 1, "label": "api docs", "message": "63%", "color": "success" } { "schemaVersion": 1, "label": "api docs", "message": "67%", "color": "success" }

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@ -8,4 +8,4 @@ const snippets = [{"title": "Hello World","url": "https://reanimate.clozecards.c
,{"title": "Easing Graphs","url": "https://reanimate.clozecards.com/FEyCDsj0V82/255.svg","code": "colorPalette = parula -- try: viridis, sinebow, turbo, cividis\nfns =\n [(\"curveS\", curveS 2)\n ,(\"bellS\", bellS 2)\n ,(\"constantS\", constantS 0.7)\n ,(\"oscillateS\", oscillateS)\n ,(\"powerS\", powerS 2)\n ,(\"reverseS\", reverseS)\n ,(\"id\", id)\n ]\n\nanimation :: Animation\nanimation = docEnv $ pauseAtEnd 1 $ sceneAnimation $ do\n newSpriteSVG_ $ mkBackground \"white\"\n play $ signalA (curveS 2) $ animate $ \\t -> partialSvg t grid\n newSpriteSVG_ grid\n wait 1\n flip mapM_ (zip [0..] fns) $ \\(nth, (txt, fn)) -> do\n let color = promotePixel $ colorPalette (nth / fromIntegral (length fns-1))\n showEasing nth txt fn color\n {- showEasing 3 \"oscillateS\" oscillateS\n showEasing 4 \"powerS\" (powerS 2)\n showEasing 5 \"reverseS\" reverseS\n showEasing 6 \"id\" id -}\n\ngridOffset = -2\ngridHeight = 5\ngridWidth = 8\n\ngrid :: SVG\ngrid = translate gridOffset 0 $\n withStrokeWidth defaultStrokeWidth $\n withStrokeColor \"grey\" $ mkGroup\n [ mkPath $ concat\n [[ SVG.MoveTo SVG.OriginAbsolute [V2 (-gridWidth/2) (gridHeight/2-n)]\n ,SVG.HorizontalTo SVG.OriginRelative [gridWidth] ]\n | n <- [1..gridHeight-1]\n ]\n , mkPath \n [ SVG.MoveTo SVG.OriginAbsolute [V2 (-gridWidth/2) (gridHeight/2)]\n , SVG.VerticalTo SVG.OriginRelative [-gridHeight]\n , SVG.HorizontalTo SVG.OriginRelative [gridWidth]\n , SVG.VerticalTo SVG.OriginRelative [gridHeight]\n , SVG.EndPath\n ]\n ]\n\nshowEasing nth txt fn color = do\n let steps = 100\n slope = withStrokeColorPixel color $\n translate gridOffset 0 $ mkLinePath\n [ ((x/steps-0.5)*gridWidth, (y-0.5)*gridHeight)\n | x <- [0..steps]\n , let y = fn (x/steps) ]\n s <- newSpriteSVG $\n withFillColorPixel color $\n translate (gridWidth/2+gridOffset+0.5) (gridHeight/2-nth) $\n label txt\n spriteE s $ overBeginning 0.2 fadeInE\n play $ animate $ \\t -> partialSvg t slope\n newSpriteSVG_ slope\n wait 1\n \nlabel txt = withStrokeColor \"black\" $\n withStrokeWidth (defaultStrokeWidth*2) $\n withFillOpacity 1 $\n latex txt\n"} ,{"title": "Easing Graphs","url": "https://reanimate.clozecards.com/FEyCDsj0V82/255.svg","code": "colorPalette = parula -- try: viridis, sinebow, turbo, cividis\nfns =\n [(\"curveS\", curveS 2)\n ,(\"bellS\", bellS 2)\n ,(\"constantS\", constantS 0.7)\n ,(\"oscillateS\", oscillateS)\n ,(\"powerS\", powerS 2)\n ,(\"reverseS\", reverseS)\n ,(\"id\", id)\n ]\n\nanimation :: Animation\nanimation = docEnv $ pauseAtEnd 1 $ sceneAnimation $ do\n newSpriteSVG_ $ mkBackground \"white\"\n play $ signalA (curveS 2) $ animate $ \\t -> partialSvg t grid\n newSpriteSVG_ grid\n wait 1\n flip mapM_ (zip [0..] fns) $ \\(nth, (txt, fn)) -> do\n let color = promotePixel $ colorPalette (nth / fromIntegral (length fns-1))\n showEasing nth txt fn color\n {- showEasing 3 \"oscillateS\" oscillateS\n showEasing 4 \"powerS\" (powerS 2)\n showEasing 5 \"reverseS\" reverseS\n showEasing 6 \"id\" id -}\n\ngridOffset = -2\ngridHeight = 5\ngridWidth = 8\n\ngrid :: SVG\ngrid = translate gridOffset 0 $\n withStrokeWidth defaultStrokeWidth $\n withStrokeColor \"grey\" $ mkGroup\n [ mkPath $ concat\n [[ SVG.MoveTo SVG.OriginAbsolute [V2 (-gridWidth/2) (gridHeight/2-n)]\n ,SVG.HorizontalTo SVG.OriginRelative [gridWidth] ]\n | n <- [1..gridHeight-1]\n ]\n , mkPath \n [ SVG.MoveTo SVG.OriginAbsolute [V2 (-gridWidth/2) (gridHeight/2)]\n , SVG.VerticalTo SVG.OriginRelative [-gridHeight]\n , SVG.HorizontalTo SVG.OriginRelative [gridWidth]\n , SVG.VerticalTo SVG.OriginRelative [gridHeight]\n , SVG.EndPath\n ]\n ]\n\nshowEasing nth txt fn color = do\n let steps = 100\n slope = withStrokeColorPixel color $\n translate gridOffset 0 $ mkLinePath\n [ ((x/steps-0.5)*gridWidth, (y-0.5)*gridHeight)\n | x <- [0..steps]\n , let y = fn (x/steps) ]\n s <- newSpriteSVG $\n withFillColorPixel color $\n translate (gridWidth/2+gridOffset+0.5) (gridHeight/2-nth) $\n label txt\n spriteE s $ overBeginning 0.2 fadeInE\n play $ animate $ \\t -> partialSvg t slope\n newSpriteSVG_ slope\n wait 1\n \nlabel txt = withStrokeColor \"black\" $\n withStrokeWidth (defaultStrokeWidth*2) $\n withFillOpacity 1 $\n latex txt\n"}
,{"title": "Object Positions","url": "https://reanimate.clozecards.com/IAQhjO0Ke7h/195.svg","code": "env =\n addStatic (mkBackground \"white\") .\n mapA (withStrokeColor \"black\")\n\nanimation :: Animation\nanimation = env $\n sceneAnimation $ do\n -- Configure objects\n txt <- newText \"Center\"\n top <- newText \"Top\"\n oModifyS top $ \n oTopY .= screenTop\n topR <- newText \"Top right\"\n oModifyS topR $ do\n oTopY .= screenTop\n oRightX .= screenRight\n botR <- newText \"Bottom right\"\n oModifyS botR $ do\n oBottomY .= screenBottom\n oRightX .= screenRight\n botL <- newText \"Bottom left\"\n oModifyS botL $ do\n oBottomY .= screenBottom\n oLeftX .= screenLeft\n topL <- newText \"Top left\"\n oModifyS topL $ do\n oTopY .= screenTop\n oLeftX .= screenLeft\n -- Show objects\n oShow txt\n wait 1\n switchTo txt top\n switchTo top topR\n switchTo topR botR\n switchTo botR botL\n switchTo botL topL\n switchTo topL txt\n\nswitchTo src dst = do\n fork $ oFadeOut src 1\n oModify dst $ oOpacity .~ 1\n oFadeIn dst 1\n wait 1\n\nnewText txt =\n newObject $ scale 1.5 $ center $ latex txt\n"} ,{"title": "Object Positions","url": "https://reanimate.clozecards.com/IAQhjO0Ke7h/195.svg","code": "env =\n addStatic (mkBackground \"white\") .\n mapA (withStrokeColor \"black\")\n\nanimation :: Animation\nanimation = env $\n sceneAnimation $ do\n -- Configure objects\n txt <- newText \"Center\"\n top <- newText \"Top\"\n oModifyS top $ \n oTopY .= screenTop\n topR <- newText \"Top right\"\n oModifyS topR $ do\n oTopY .= screenTop\n oRightX .= screenRight\n botR <- newText \"Bottom right\"\n oModifyS botR $ do\n oBottomY .= screenBottom\n oRightX .= screenRight\n botL <- newText \"Bottom left\"\n oModifyS botL $ do\n oBottomY .= screenBottom\n oLeftX .= screenLeft\n topL <- newText \"Top left\"\n oModifyS topL $ do\n oTopY .= screenTop\n oLeftX .= screenLeft\n -- Show objects\n oShow txt\n wait 1\n switchTo txt top\n switchTo top topR\n switchTo topR botR\n switchTo botR botL\n switchTo botL topL\n switchTo topL txt\n\nswitchTo src dst = do\n fork $ oFadeOut src 1\n oModify dst $ oOpacity .~ 1\n oFadeIn dst 1\n wait 1\n\nnewText txt =\n newObject $ scale 1.5 $ center $ latex txt\n"}
]; ];
const playgroundVersion = "2020-08-25 (f0313)"; const playgroundVersion = "2020-08-25 (cc215)";

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@ -20,267 +20,305 @@ span.spaces { background: white }
<span class="lineno"> 1 </span>{-# LANGUAGE FunctionalDependencies #-} <span class="lineno"> 1 </span>{-# LANGUAGE FunctionalDependencies #-}
<span class="lineno"> 2 </span>{-# LANGUAGE MultiParamTypeClasses #-} <span class="lineno"> 2 </span>{-# LANGUAGE MultiParamTypeClasses #-}
<span class="lineno"> 3 </span>{-# LANGUAGE UndecidableInstances #-} <span class="lineno"> 3 </span>{-# LANGUAGE UndecidableInstances #-}
<span class="lineno"> 4 </span>module Reanimate.Internal.CubicBezier <span class="lineno"> 4 </span>{-|
<span class="lineno"> 5 </span> ( AnyBezier(..) <span class="lineno"> 5 </span>Module : Reanimate.Internal.CubicBezier
<span class="lineno"> 6 </span> , CubicBezier(..) <span class="lineno"> 6 </span>Copyright : Written by David Himmelstrup
<span class="lineno"> 7 </span> , QuadBezier(..) <span class="lineno"> 7 </span>License : Unlicense
<span class="lineno"> 8 </span> , OpenPath(..) <span class="lineno"> 8 </span>Maintainer : lemmih@gmail.com
<span class="lineno"> 9 </span> , ClosedPath(..) <span class="lineno"> 9 </span>Stability : experimental
<span class="lineno"> 10 </span> , PathJoin(..) <span class="lineno"> 10 </span>Portability : POSIX
<span class="lineno"> 11 </span> , ClosedMetaPath(..) <span class="lineno"> 11 </span>
<span class="lineno"> 12 </span> , OpenMetaPath(..) <span class="lineno"> 12 </span>Convenience wrapper around 'Geom2D.CubicBezier'
<span class="lineno"> 13 </span> , MetaJoin(..) <span class="lineno"> 13 </span>
<span class="lineno"> 14 </span> , MetaNodeType(..) <span class="lineno"> 14 </span>-}
<span class="lineno"> 15 </span> , C.GenericBezier(..) <span class="lineno"> 15 </span>module Reanimate.Internal.CubicBezier
<span class="lineno"> 16 </span> , C.FillRule(..) <span class="lineno"> 16 </span> ( AnyBezier(..)
<span class="lineno"> 17 </span> , C.Tension(..) <span class="lineno"> 17 </span> , CubicBezier(..)
<span class="lineno"> 18 </span> , quadToCubic <span class="lineno"> 18 </span> , QuadBezier(..)
<span class="lineno"> 19 </span> , arcLength <span class="lineno"> 19 </span> , OpenPath(..)
<span class="lineno"> 20 </span> , arcLengthParam <span class="lineno"> 20 </span> , ClosedPath(..)
<span class="lineno"> 21 </span> , C.splitBezier <span class="lineno"> 21 </span> , PathJoin(..)
<span class="lineno"> 22 </span> , colinear <span class="lineno"> 22 </span> , ClosedMetaPath(..)
<span class="lineno"> 23 </span> , evalBezier <span class="lineno"> 23 </span> , OpenMetaPath(..)
<span class="lineno"> 24 </span> , evalBezierDeriv <span class="lineno"> 24 </span> , MetaJoin(..)
<span class="lineno"> 25 </span> , bezierHoriz <span class="lineno"> 25 </span> , MetaNodeType(..)
<span class="lineno"> 26 </span> , bezierVert <span class="lineno"> 26 </span> , C.GenericBezier(..)
<span class="lineno"> 27 </span> , C.bezierSubsegment <span class="lineno"> 27 </span> , C.FillRule(..)
<span class="lineno"> 28 </span> , C.reorient <span class="lineno"> 28 </span> , C.Tension(..)
<span class="lineno"> 29 </span> , closedPathCurves <span class="lineno"> 29 </span> , quadToCubic
<span class="lineno"> 30 </span> , openPathCurves <span class="lineno"> 30 </span> , arcLength
<span class="lineno"> 31 </span> , curvesToClosed <span class="lineno"> 31 </span> , arcLengthParam
<span class="lineno"> 32 </span> , closest <span class="lineno"> 32 </span> , C.splitBezier
<span class="lineno"> 33 </span> , unmetaOpen <span class="lineno"> 33 </span> , colinear
<span class="lineno"> 34 </span> , unmetaClosed <span class="lineno"> 34 </span> , evalBezier
<span class="lineno"> 35 </span> , union <span class="lineno"> 35 </span> , evalBezierDeriv
<span class="lineno"> 36 </span> , bezierIntersection <span class="lineno"> 36 </span> , bezierHoriz
<span class="lineno"> 37 </span> , interpolateVector <span class="lineno"> 37 </span> , bezierVert
<span class="lineno"> 38 </span> , vectorDistance <span class="lineno"> 38 </span> , C.bezierSubsegment
<span class="lineno"> 39 </span> , findBezierInflection <span class="lineno"> 39 </span> , C.reorient
<span class="lineno"> 40 </span> , findBezierCusp <span class="lineno"> 40 </span> , closedPathCurves
<span class="lineno"> 41 </span> ) where <span class="lineno"> 41 </span> , openPathCurves
<span class="lineno"> 42 </span> <span class="lineno"> 42 </span> , curvesToClosed
<span class="lineno"> 43 </span>import qualified Data.Vector.Unboxed as V <span class="lineno"> 43 </span> , closest
<span class="lineno"> 44 </span>import qualified Geom2D.CubicBezier as C <span class="lineno"> 44 </span> , unmetaOpen
<span class="lineno"> 45 </span>import Linear.V2 <span class="lineno"> 45 </span> , unmetaClosed
<span class="lineno"> 46 </span> <span class="lineno"> 46 </span> , union
<span class="lineno"> 47 </span>------------------------------------------------------------ <span class="lineno"> 47 </span> , bezierIntersection
<span class="lineno"> 48 </span>-- Data types <span class="lineno"> 48 </span> , interpolateVector
<span class="lineno"> 49 </span> <span class="lineno"> 49 </span> , vectorDistance
<span class="lineno"> 50 </span>newtype AnyBezier a = AnyBezier (V.Vector (V2 a)) <span class="lineno"> 50 </span> , findBezierInflection
<span class="lineno"> 51 </span> <span class="lineno"> 51 </span> , findBezierCusp
<span class="lineno"> 52 </span>data CubicBezier a = CubicBezier <span class="lineno"> 52 </span> ) where
<span class="lineno"> 53 </span> { <span class="nottickedoff"><span class="decl"><span class="nottickedoff">cubicC0</span></span></span> :: !(V2 a) <span class="lineno"> 53 </span>
<span class="lineno"> 54 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">cubicC1</span></span></span> :: !(V2 a) <span class="lineno"> 54 </span>import qualified Data.Vector.Unboxed as V
<span class="lineno"> 55 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">cubicC2</span></span></span> :: !(V2 a) <span class="lineno"> 55 </span>import qualified Geom2D.CubicBezier as C
<span class="lineno"> 56 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">cubicC3</span></span></span> :: !(V2 a) <span class="lineno"> 56 </span>import Linear.V2
<span class="lineno"> 57 </span> } deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>) <span class="lineno"> 57 </span>
<span class="lineno"> 58 </span> <span class="lineno"> 58 </span>------------------------------------------------------------
<span class="lineno"> 59 </span>data QuadBezier a = QuadBezier <span class="lineno"> 59 </span>-- Data types
<span class="lineno"> 60 </span> { <span class="nottickedoff"><span class="decl"><span class="nottickedoff">quadC0</span></span></span> :: !(V2 a) <span class="lineno"> 60 </span>
<span class="lineno"> 61 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">quadC1</span></span></span> :: !(V2 a) <span class="lineno"> 61 </span>-- | A bezier curve of any degree.
<span class="lineno"> 62 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">quadC2</span></span></span> :: !(V2 a) <span class="lineno"> 62 </span>newtype AnyBezier a = AnyBezier (V.Vector (V2 a))
<span class="lineno"> 63 </span> } deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>) <span class="lineno"> 63 </span>
<span class="lineno"> 64 </span> <span class="lineno"> 64 </span>-- | A cubic bezier curve.
<span class="lineno"> 65 </span>data OpenPath a = OpenPath [(V2 a, PathJoin a)] (V2 a) <span class="lineno"> 65 </span>data CubicBezier a = CubicBezier
<span class="lineno"> 66 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>) <span class="lineno"> 66 </span> { <span class="nottickedoff"><span class="decl"><span class="nottickedoff">cubicC0</span></span></span> :: !(V2 a)
<span class="lineno"> 67 </span>data ClosedPath a = ClosedPath [(V2 a, PathJoin a)] <span class="lineno"> 67 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">cubicC1</span></span></span> :: !(V2 a)
<span class="lineno"> 68 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>) <span class="lineno"> 68 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">cubicC2</span></span></span> :: !(V2 a)
<span class="lineno"> 69 </span> <span class="lineno"> 69 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">cubicC3</span></span></span> :: !(V2 a)
<span class="lineno"> 70 </span>data PathJoin a <span class="lineno"> 70 </span> } deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>)
<span class="lineno"> 71 </span> = JoinLine <span class="lineno"> 71 </span>
<span class="lineno"> 72 </span> | JoinCurve (V2 a) (V2 a) <span class="lineno"> 72 </span>-- | A quadratic bezier curve.
<span class="lineno"> 73 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>) <span class="lineno"> 73 </span>data QuadBezier a = QuadBezier
<span class="lineno"> 74 </span> <span class="lineno"> 74 </span> { <span class="nottickedoff"><span class="decl"><span class="nottickedoff">quadC0</span></span></span> :: !(V2 a)
<span class="lineno"> 75 </span>data ClosedMetaPath a = ClosedMetaPath [(V2 a, MetaJoin a)] <span class="lineno"> 75 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">quadC1</span></span></span> :: !(V2 a)
<span class="lineno"> 76 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>) <span class="lineno"> 76 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">quadC2</span></span></span> :: !(V2 a)
<span class="lineno"> 77 </span>data OpenMetaPath a = OpenMetaPath [(V2 a, MetaJoin a)] (V2 a) <span class="lineno"> 77 </span> } deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>)
<span class="lineno"> 78 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>) <span class="lineno"> 78 </span>
<span class="lineno"> 79 </span> <span class="lineno"> 79 </span>data OpenPath a = OpenPath [(V2 a, PathJoin a)] (V2 a)
<span class="lineno"> 80 </span>data MetaJoin a <span class="lineno"> 80 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>)
<span class="lineno"> 81 </span> = MetaJoin <span class="lineno"> 81 </span>data ClosedPath a = ClosedPath [(V2 a, PathJoin a)]
<span class="lineno"> 82 </span> { <span class="nottickedoff"><span class="decl"><span class="nottickedoff">metaTypeL</span></span></span> :: MetaNodeType a <span class="lineno"> 82 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>)
<span class="lineno"> 83 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">tensionL</span></span></span> :: C.Tension a <span class="lineno"> 83 </span>
<span class="lineno"> 84 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">tensionR</span></span></span> :: C.Tension a <span class="lineno"> 84 </span>data PathJoin a
<span class="lineno"> 85 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">metaTypeR</span></span></span> :: MetaNodeType a <span class="lineno"> 85 </span> = JoinLine
<span class="lineno"> 86 </span> } <span class="lineno"> 86 </span> | JoinCurve (V2 a) (V2 a)
<span class="lineno"> 87 </span> | Controls (V2 a) (V2 a) <span class="lineno"> 87 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>)
<span class="lineno"> 88 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>) <span class="lineno"> 88 </span>
<span class="lineno"> 89 </span> <span class="lineno"> 89 </span>data ClosedMetaPath a = ClosedMetaPath [(V2 a, MetaJoin a)]
<span class="lineno"> 90 </span>data MetaNodeType a <span class="lineno"> 90 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>)
<span class="lineno"> 91 </span> = Open <span class="lineno"> 91 </span>data OpenMetaPath a = OpenMetaPath [(V2 a, MetaJoin a)] (V2 a)
<span class="lineno"> 92 </span> | Curl { <span class="nottickedoff"><span class="decl"><span class="nottickedoff">curlgamma</span></span></span> :: a } <span class="lineno"> 92 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>)
<span class="lineno"> 93 </span> | Direction { <span class="nottickedoff"><span class="decl"><span class="nottickedoff">nodedir</span></span></span> :: V2 a } <span class="lineno"> 93 </span>
<span class="lineno"> 94 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>) <span class="lineno"> 94 </span>data MetaJoin a
<span class="lineno"> 95 </span> <span class="lineno"> 95 </span> = MetaJoin
<span class="lineno"> 96 </span>------------------------------------------------------------ <span class="lineno"> 96 </span> { <span class="nottickedoff"><span class="decl"><span class="nottickedoff">metaTypeL</span></span></span> :: MetaNodeType a
<span class="lineno"> 97 </span>-- Methods <span class="lineno"> 97 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">tensionL</span></span></span> :: C.Tension a
<span class="lineno"> 98 </span> <span class="lineno"> 98 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">tensionR</span></span></span> :: C.Tension a
<span class="lineno"> 99 </span>quadToCubic :: Fractional a =&gt; QuadBezier a -&gt; CubicBezier a <span class="lineno"> 99 </span> , <span class="nottickedoff"><span class="decl"><span class="nottickedoff">metaTypeR</span></span></span> :: MetaNodeType a
<span class="lineno"> 100 </span><span class="decl"><span class="istickedoff">quadToCubic = upCast . C.quadToCubic . downCast</span></span> <span class="lineno"> 100 </span> }
<span class="lineno"> 101 </span> <span class="lineno"> 101 </span> | Controls (V2 a) (V2 a)
<span class="lineno"> 102 </span>arcLength :: CubicBezier Double -&gt; Double -&gt; Double -&gt; Double <span class="lineno"> 102 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>)
<span class="lineno"> 103 </span><span class="decl"><span class="istickedoff">arcLength bezier t tol = C.arcLength (downCast bezier) t tol</span></span> <span class="lineno"> 103 </span>
<span class="lineno"> 104 </span> <span class="lineno"> 104 </span>data MetaNodeType a
<span class="lineno"> 105 </span>arcLengthParam :: CubicBezier Double -&gt; Double -&gt; Double -&gt; Double <span class="lineno"> 105 </span> = Open
<span class="lineno"> 106 </span><span class="decl"><span class="nottickedoff">arcLengthParam bezier t tol = C.arcLengthParam (downCast bezier) t tol</span></span> <span class="lineno"> 106 </span> | Curl { <span class="nottickedoff"><span class="decl"><span class="nottickedoff">curlgamma</span></span></span> :: a }
<span class="lineno"> 107 </span> <span class="lineno"> 107 </span> | Direction { <span class="nottickedoff"><span class="decl"><span class="nottickedoff">nodedir</span></span></span> :: V2 a }
<span class="lineno"> 108 </span>colinear :: CubicBezier Double -&gt; Double -&gt; Bool <span class="lineno"> 108 </span> deriving (<span class="decl"><span class="nottickedoff">Show</span></span>, <span class="decl"><span class="nottickedoff">Eq</span></span>)
<span class="lineno"> 109 </span><span class="decl"><span class="istickedoff">colinear bezier tol = C.colinear (downCast bezier) tol</span></span> <span class="lineno"> 109 </span>
<span class="lineno"> 110 </span> <span class="lineno"> 110 </span>------------------------------------------------------------
<span class="lineno"> 111 </span>evalBezier :: (C.GenericBezier b, V.Unbox a, Fractional a) =&gt; b a -&gt; a -&gt; V2 a <span class="lineno"> 111 </span>-- Methods
<span class="lineno"> 112 </span><span class="decl"><span class="istickedoff">evalBezier c p = upCast $ C.evalBezier c p</span></span> <span class="lineno"> 112 </span>
<span class="lineno"> 113 </span> <span class="lineno"> 113 </span>-- | Convert a quadratic bezier to a cubic bezier.
<span class="lineno"> 114 </span>evalBezierDeriv :: (V.Unbox a, Fractional a,C.GenericBezier b) =&gt; b a -&gt; a -&gt; (V2 a, V2 a) <span class="lineno"> 114 </span>quadToCubic :: Fractional a =&gt; QuadBezier a -&gt; CubicBezier a
<span class="lineno"> 115 </span><span class="decl"><span class="nottickedoff">evalBezierDeriv c p = upCast $ C.evalBezierDeriv c p</span></span> <span class="lineno"> 115 </span><span class="decl"><span class="istickedoff">quadToCubic = upCast . C.quadToCubic . downCast</span></span>
<span class="lineno"> 116 </span> <span class="lineno"> 116 </span>
<span class="lineno"> 117 </span>bezierHoriz :: CubicBezier Double -&gt; [Double] <span class="lineno"> 117 </span>-- | @arcLength c t tol@ finds the arclength of the bezier @c@ at @t@,
<span class="lineno"> 118 </span><span class="decl"><span class="nottickedoff">bezierHoriz = C.bezierHoriz . downCast</span></span> <span class="lineno"> 118 </span>-- within given tolerance @tol@.
<span class="lineno"> 119 </span> <span class="lineno"> 119 </span>arcLength :: CubicBezier Double -&gt; Double -&gt; Double -&gt; Double
<span class="lineno"> 120 </span>bezierVert :: CubicBezier Double -&gt; [Double] <span class="lineno"> 120 </span><span class="decl"><span class="istickedoff">arcLength bezier t tol = C.arcLength (downCast bezier) t tol</span></span>
<span class="lineno"> 121 </span><span class="decl"><span class="nottickedoff">bezierVert = C.bezierVert . downCast</span></span> <span class="lineno"> 121 </span>
<span class="lineno"> 122 </span> <span class="lineno"> 122 </span>-- | @arcLengthParam c len tol@ finds the parameter where the curve @c@
<span class="lineno"> 123 </span>unmetaOpen :: OpenMetaPath Double -&gt; OpenPath Double <span class="lineno"> 123 </span>-- has the arclength @len@, within tolerance @tol@.
<span class="lineno"> 124 </span><span class="decl"><span class="nottickedoff">unmetaOpen = upCast . C.unmetaOpen . downCast</span></span> <span class="lineno"> 124 </span>arcLengthParam :: CubicBezier Double -&gt; Double -&gt; Double -&gt; Double
<span class="lineno"> 125 </span> <span class="lineno"> 125 </span><span class="decl"><span class="nottickedoff">arcLengthParam bezier t tol = C.arcLengthParam (downCast bezier) t tol</span></span>
<span class="lineno"> 126 </span>unmetaClosed :: ClosedMetaPath Double -&gt; ClosedPath Double <span class="lineno"> 126 </span>
<span class="lineno"> 127 </span><span class="decl"><span class="nottickedoff">unmetaClosed = upCast . C.unmetaClosed . downCast</span></span> <span class="lineno"> 127 </span>-- | Return @False@ if some points fall outside a line with a thickness of the given tolerance.
<span class="lineno"> 128 </span> <span class="lineno"> 128 </span>colinear :: CubicBezier Double -&gt; Double -&gt; Bool
<span class="lineno"> 129 </span>union :: [ClosedPath Double] -&gt; C.FillRule -&gt; Double -&gt; [ClosedPath Double] <span class="lineno"> 129 </span><span class="decl"><span class="istickedoff">colinear bezier tol = C.colinear (downCast bezier) tol</span></span>
<span class="lineno"> 130 </span><span class="decl"><span class="nottickedoff">union p fill tol = upCast (C.union (downCast p) fill tol)</span></span> <span class="lineno"> 130 </span>
<span class="lineno"> 131 </span> <span class="lineno"> 131 </span>-- | Calculate a value on the bezier curve.
<span class="lineno"> 132 </span>bezierIntersection :: CubicBezier Double -&gt; CubicBezier Double -&gt; Double -&gt; [(Double, Double)] <span class="lineno"> 132 </span>evalBezier :: (C.GenericBezier b, V.Unbox a, Fractional a) =&gt; b a -&gt; a -&gt; V2 a
<span class="lineno"> 133 </span><span class="decl"><span class="nottickedoff">bezierIntersection a b t = C.bezierIntersection (downCast a) (downCast b) t</span></span> <span class="lineno"> 133 </span><span class="decl"><span class="istickedoff">evalBezier c p = upCast $ C.evalBezier c p</span></span>
<span class="lineno"> 134 </span> <span class="lineno"> 134 </span>
<span class="lineno"> 135 </span>closest :: CubicBezier Double -&gt; V2 Double -&gt; Double -&gt; Double <span class="lineno"> 135 </span>-- | Calculate a value and the first derivative on the curve.
<span class="lineno"> 136 </span><span class="decl"><span class="nottickedoff">closest c p t = C.closest (downCast c) (downCast p) t</span></span> <span class="lineno"> 136 </span>evalBezierDeriv :: (V.Unbox a, Fractional a,C.GenericBezier b) =&gt; b a -&gt; a -&gt; (V2 a, V2 a)
<span class="lineno"> 137 </span> <span class="lineno"> 137 </span><span class="decl"><span class="nottickedoff">evalBezierDeriv c p = upCast $ C.evalBezierDeriv c p</span></span>
<span class="lineno"> 138 </span>closedPathCurves :: Fractional a =&gt; ClosedPath a -&gt; [CubicBezier a] <span class="lineno"> 138 </span>
<span class="lineno"> 139 </span><span class="decl"><span class="istickedoff">closedPathCurves = upCast . C.closedPathCurves . downCast</span></span> <span class="lineno"> 139 </span>-- | Find the parameter where the bezier curve is horizontal.
<span class="lineno"> 140 </span> <span class="lineno"> 140 </span>bezierHoriz :: CubicBezier Double -&gt; [Double]
<span class="lineno"> 141 </span>openPathCurves :: Fractional a =&gt; OpenPath a -&gt; [CubicBezier a] <span class="lineno"> 141 </span><span class="decl"><span class="nottickedoff">bezierHoriz = C.bezierHoriz . downCast</span></span>
<span class="lineno"> 142 </span><span class="decl"><span class="nottickedoff">openPathCurves = upCast . C.openPathCurves . downCast</span></span> <span class="lineno"> 142 </span>
<span class="lineno"> 143 </span> <span class="lineno"> 143 </span>-- | Find the parameter where the bezier curve is vertical.
<span class="lineno"> 144 </span>curvesToClosed :: [CubicBezier a] -&gt; ClosedPath a <span class="lineno"> 144 </span>bezierVert :: CubicBezier Double -&gt; [Double]
<span class="lineno"> 145 </span><span class="decl"><span class="nottickedoff">curvesToClosed = upCast . C.curvesToClosed . downCast</span></span> <span class="lineno"> 145 </span><span class="decl"><span class="nottickedoff">bezierVert = C.bezierVert . downCast</span></span>
<span class="lineno"> 146 </span> <span class="lineno"> 146 </span>
<span class="lineno"> 147 </span>interpolateVector :: Num a =&gt; V2 a -&gt; V2 a -&gt; a -&gt; V2 a <span class="lineno"> 147 </span>-- | Create a normal path from a metapath.
<span class="lineno"> 148 </span><span class="decl"><span class="nottickedoff">interpolateVector a b p = upCast $ C.interpolateVector (downCast a) (downCast b) p</span></span> <span class="lineno"> 148 </span>unmetaOpen :: OpenMetaPath Double -&gt; OpenPath Double
<span class="lineno"> 149 </span> <span class="lineno"> 149 </span><span class="decl"><span class="nottickedoff">unmetaOpen = upCast . C.unmetaOpen . downCast</span></span>
<span class="lineno"> 150 </span>vectorDistance :: Floating a =&gt; V2 a -&gt; V2 a -&gt; a <span class="lineno"> 150 </span>
<span class="lineno"> 151 </span><span class="decl"><span class="nottickedoff">vectorDistance a b = C.vectorDistance (downCast a) (downCast b)</span></span> <span class="lineno"> 151 </span>unmetaClosed :: ClosedMetaPath Double -&gt; ClosedPath Double
<span class="lineno"> 152 </span> <span class="lineno"> 152 </span><span class="decl"><span class="nottickedoff">unmetaClosed = upCast . C.unmetaClosed . downCast</span></span>
<span class="lineno"> 153 </span>findBezierInflection :: CubicBezier Double -&gt; [Double] <span class="lineno"> 153 </span>
<span class="lineno"> 154 </span><span class="decl"><span class="nottickedoff">findBezierInflection = C.findBezierInflection . downCast</span></span> <span class="lineno"> 154 </span>-- | `O((n+m)*log(n+m))`, for n segments and m intersections.
<span class="lineno"> 155 </span> <span class="lineno"> 155 </span>-- Union of paths, removing overlap and rounding to the given tolerance.
<span class="lineno"> 156 </span>findBezierCusp :: CubicBezier Double -&gt; [Double] <span class="lineno"> 156 </span>union :: [ClosedPath Double] -&gt; C.FillRule -&gt; Double -&gt; [ClosedPath Double]
<span class="lineno"> 157 </span><span class="decl"><span class="nottickedoff">findBezierCusp = C.findBezierCusp . downCast</span></span> <span class="lineno"> 157 </span><span class="decl"><span class="nottickedoff">union p fill tol = upCast (C.union (downCast p) fill tol)</span></span>
<span class="lineno"> 158 </span> <span class="lineno"> 158 </span>
<span class="lineno"> 159 </span>------------------------------------------------------------ <span class="lineno"> 159 </span>-- | Find the intersections between two Bezier curves, using the Bezier Clip algorithm.
<span class="lineno"> 160 </span>-- Instances <span class="lineno"> 160 </span>-- Returns the parameters for both curves.
<span class="lineno"> 161 </span> <span class="lineno"> 161 </span>bezierIntersection :: CubicBezier Double -&gt; CubicBezier Double -&gt; Double -&gt; [(Double, Double)]
<span class="lineno"> 162 </span>instance C.GenericBezier QuadBezier where <span class="lineno"> 162 </span><span class="decl"><span class="nottickedoff">bezierIntersection a b t = C.bezierIntersection (downCast a) (downCast b) t</span></span>
<span class="lineno"> 163 </span> <span class="decl"><span class="nottickedoff">degree = C.degree . downCast</span></span> <span class="lineno"> 163 </span>
<span class="lineno"> 164 </span> <span class="decl"><span class="istickedoff">toVector = C.toVector . downCast</span></span> <span class="lineno"> 164 </span>-- | Find the closest value on the bezier to the given point, within tolerance.
<span class="lineno"> 165 </span> <span class="decl"><span class="nottickedoff">unsafeFromVector = upCast . C.unsafeFromVector</span></span> <span class="lineno"> 165 </span>-- Return the first value found.
<span class="lineno"> 166 </span> <span class="lineno"> 166 </span>closest :: CubicBezier Double -&gt; V2 Double -&gt; Double -&gt; Double
<span class="lineno"> 167 </span>instance C.GenericBezier CubicBezier where <span class="lineno"> 167 </span><span class="decl"><span class="nottickedoff">closest c p t = C.closest (downCast c) (downCast p) t</span></span>
<span class="lineno"> 168 </span> <span class="decl"><span class="nottickedoff">degree = C.degree . downCast</span></span> <span class="lineno"> 168 </span>
<span class="lineno"> 169 </span> <span class="decl"><span class="istickedoff">toVector = C.toVector . downCast</span></span> <span class="lineno"> 169 </span>-- | Return the closed path as a list of curves.
<span class="lineno"> 170 </span> <span class="decl"><span class="istickedoff">unsafeFromVector = upCast . C.unsafeFromVector</span></span> <span class="lineno"> 170 </span>closedPathCurves :: Fractional a =&gt; ClosedPath a -&gt; [CubicBezier a]
<span class="lineno"> 171 </span> <span class="lineno"> 171 </span><span class="decl"><span class="istickedoff">closedPathCurves = upCast . C.closedPathCurves . downCast</span></span>
<span class="lineno"> 172 </span>instance C.GenericBezier AnyBezier where <span class="lineno"> 172 </span>
<span class="lineno"> 173 </span> <span class="decl"><span class="nottickedoff">degree = C.degree . downCast</span></span> <span class="lineno"> 173 </span>-- | Return the open path as a list of curves.
<span class="lineno"> 174 </span> <span class="decl"><span class="istickedoff">toVector = C.toVector . downCast</span></span> <span class="lineno"> 174 </span>openPathCurves :: Fractional a =&gt; OpenPath a -&gt; [CubicBezier a]
<span class="lineno"> 175 </span> <span class="decl"><span class="istickedoff">unsafeFromVector = upCast . C.unsafeFromVector</span></span> <span class="lineno"> 175 </span><span class="decl"><span class="nottickedoff">openPathCurves = upCast . C.openPathCurves . downCast</span></span>
<span class="lineno"> 176 </span> <span class="lineno"> 176 </span>
<span class="lineno"> 177 </span>------------------------------------------------------------ <span class="lineno"> 177 </span>-- | Make an open path from a list of curves. The last control point of each curve is ignored.
<span class="lineno"> 178 </span>-- Casting <span class="lineno"> 178 </span>curvesToClosed :: [CubicBezier a] -&gt; ClosedPath a
<span class="lineno"> 179 </span> <span class="lineno"> 179 </span><span class="decl"><span class="nottickedoff">curvesToClosed = upCast . C.curvesToClosed . downCast</span></span>
<span class="lineno"> 180 </span>class Cast a b | a -&gt; b, b -&gt; a where <span class="lineno"> 180 </span>
<span class="lineno"> 181 </span> downCast :: a -&gt; b <span class="lineno"> 181 </span>-- | Interpolate between two vectors.
<span class="lineno"> 182 </span> upCast :: b -&gt; a <span class="lineno"> 182 </span>interpolateVector :: Num a =&gt; V2 a -&gt; V2 a -&gt; a -&gt; V2 a
<span class="lineno"> 183 </span> <span class="lineno"> 183 </span><span class="decl"><span class="nottickedoff">interpolateVector a b p = upCast $ C.interpolateVector (downCast a) (downCast b) p</span></span>
<span class="lineno"> 184 </span>instance Cast a b =&gt; Cast [a] [b] where <span class="lineno"> 184 </span>
<span class="lineno"> 185 </span> <span class="decl"><span class="nottickedoff">downCast = map downCast</span></span> <span class="lineno"> 185 </span>-- | Distance between two vectors.
<span class="lineno"> 186 </span> <span class="decl"><span class="istickedoff">upCast = map upCast</span></span> <span class="lineno"> 186 </span>vectorDistance :: Floating a =&gt; V2 a -&gt; V2 a -&gt; a
<span class="lineno"> 187 </span> <span class="lineno"> 187 </span><span class="decl"><span class="nottickedoff">vectorDistance a b = C.vectorDistance (downCast a) (downCast b)</span></span>
<span class="lineno"> 188 </span>instance (Cast a a', Cast b b') =&gt; Cast (a,b) (a',b') where <span class="lineno"> 188 </span>
<span class="lineno"> 189 </span> <span class="decl"><span class="nottickedoff">downCast (a, b) = (downCast a, downCast b)</span></span> <span class="lineno"> 189 </span>-- | Find inflection points on the curve.
<span class="lineno"> 190 </span> <span class="decl"><span class="nottickedoff">upCast (a, b) = (upCast a, upCast b)</span></span> <span class="lineno"> 190 </span>findBezierInflection :: CubicBezier Double -&gt; [Double]
<span class="lineno"> 191 </span> <span class="lineno"> 191 </span><span class="decl"><span class="nottickedoff">findBezierInflection = C.findBezierInflection . downCast</span></span>
<span class="lineno"> 192 </span>instance Cast (V2 a) (C.Point a) where <span class="lineno"> 192 </span>
<span class="lineno"> 193 </span> <span class="decl"><span class="istickedoff">downCast (V2 a b) = C.Point a b</span></span> <span class="lineno"> 193 </span>-- | Find the cusps of a bezier.
<span class="lineno"> 194 </span> <span class="decl"><span class="istickedoff">upCast (C.Point a b) = V2 a b</span></span> <span class="lineno"> 194 </span>findBezierCusp :: CubicBezier Double -&gt; [Double]
<span class="lineno"> 195 </span> <span class="lineno"> 195 </span><span class="decl"><span class="nottickedoff">findBezierCusp = C.findBezierCusp . downCast</span></span>
<span class="lineno"> 196 </span>instance Cast (CubicBezier a) (C.CubicBezier a) where <span class="lineno"> 196 </span>
<span class="lineno"> 197 </span> <span class="decl"><span class="istickedoff">downCast (CubicBezier a b c d) = C.CubicBezier</span> <span class="lineno"> 197 </span>------------------------------------------------------------
<span class="lineno"> 198 </span><span class="spaces"> </span><span class="istickedoff">(downCast a) (downCast b) (downCast c) (downCast d)</span></span> <span class="lineno"> 198 </span>-- Instances
<span class="lineno"> 199 </span> <span class="decl"><span class="istickedoff">upCast (C.CubicBezier a b c d) = CubicBezier</span> <span class="lineno"> 199 </span>
<span class="lineno"> 200 </span><span class="spaces"> </span><span class="istickedoff">(upCast a) (upCast b) (upCast c) (upCast d)</span></span> <span class="lineno"> 200 </span>instance C.GenericBezier QuadBezier where
<span class="lineno"> 201 </span> <span class="lineno"> 201 </span> <span class="decl"><span class="nottickedoff">degree = C.degree . downCast</span></span>
<span class="lineno"> 202 </span>instance Cast (QuadBezier a) (C.QuadBezier a) where <span class="lineno"> 202 </span> <span class="decl"><span class="istickedoff">toVector = C.toVector . downCast</span></span>
<span class="lineno"> 203 </span> <span class="decl"><span class="istickedoff">downCast (QuadBezier a b c) = C.QuadBezier</span> <span class="lineno"> 203 </span> <span class="decl"><span class="nottickedoff">unsafeFromVector = upCast . C.unsafeFromVector</span></span>
<span class="lineno"> 204 </span><span class="spaces"> </span><span class="istickedoff">(downCast a) (downCast b) (downCast c)</span></span> <span class="lineno"> 204 </span>
<span class="lineno"> 205 </span> <span class="decl"><span class="nottickedoff">upCast (C.QuadBezier a b c)= QuadBezier</span> <span class="lineno"> 205 </span>instance C.GenericBezier CubicBezier where
<span class="lineno"> 206 </span><span class="spaces"> </span><span class="nottickedoff">(upCast a) (upCast b) (upCast c)</span></span> <span class="lineno"> 206 </span> <span class="decl"><span class="nottickedoff">degree = C.degree . downCast</span></span>
<span class="lineno"> 207 </span> <span class="lineno"> 207 </span> <span class="decl"><span class="istickedoff">toVector = C.toVector . downCast</span></span>
<span class="lineno"> 208 </span>instance V.Unbox a =&gt; Cast (AnyBezier a) (C.AnyBezier a) where <span class="lineno"> 208 </span> <span class="decl"><span class="istickedoff">unsafeFromVector = upCast . C.unsafeFromVector</span></span>
<span class="lineno"> 209 </span> <span class="decl"><span class="istickedoff">downCast (AnyBezier arr) = C.AnyBezier $</span> <span class="lineno"> 209 </span>
<span class="lineno"> 210 </span><span class="spaces"> </span><span class="istickedoff">V.map (\(V2 a b) -&gt; (a,b)) arr</span></span> <span class="lineno"> 210 </span>instance C.GenericBezier AnyBezier where
<span class="lineno"> 211 </span> <span class="decl"><span class="istickedoff">upCast (C.AnyBezier arr) = AnyBezier $</span> <span class="lineno"> 211 </span> <span class="decl"><span class="nottickedoff">degree = C.degree . downCast</span></span>
<span class="lineno"> 212 </span><span class="spaces"> </span><span class="istickedoff">V.map (\(a, b) -&gt; V2 a b) arr</span></span> <span class="lineno"> 212 </span> <span class="decl"><span class="istickedoff">toVector = C.toVector . downCast</span></span>
<span class="lineno"> 213 </span> <span class="lineno"> 213 </span> <span class="decl"><span class="istickedoff">unsafeFromVector = upCast . C.unsafeFromVector</span></span>
<span class="lineno"> 214 </span>instance Cast (MetaNodeType a) (C.MetaNodeType a) where <span class="lineno"> 214 </span>
<span class="lineno"> 215 </span> <span class="decl"><span class="nottickedoff">downCast Open = C.Open</span> <span class="lineno"> 215 </span>------------------------------------------------------------
<span class="lineno"> 216 </span><span class="spaces"> </span><span class="nottickedoff">downCast (Curl gamma) = C.Curl gamma</span> <span class="lineno"> 216 </span>-- Casting
<span class="lineno"> 217 </span><span class="spaces"> </span><span class="nottickedoff">downCast (Direction dir) = C.Direction (downCast dir)</span></span> <span class="lineno"> 217 </span>
<span class="lineno"> 218 </span> <span class="decl"><span class="nottickedoff">upCast C.Open = Open</span> <span class="lineno"> 218 </span>class Cast a b | a -&gt; b, b -&gt; a where
<span class="lineno"> 219 </span><span class="spaces"> </span><span class="nottickedoff">upCast (C.Curl gamma) = Curl gamma</span> <span class="lineno"> 219 </span> downCast :: a -&gt; b
<span class="lineno"> 220 </span><span class="spaces"> </span><span class="nottickedoff">upCast (C.Direction dir) = Direction (upCast dir)</span></span> <span class="lineno"> 220 </span> upCast :: b -&gt; a
<span class="lineno"> 221 </span> <span class="lineno"> 221 </span>
<span class="lineno"> 222 </span>instance Cast (MetaJoin a) (C.MetaJoin a) where <span class="lineno"> 222 </span>instance Cast a b =&gt; Cast [a] [b] where
<span class="lineno"> 223 </span> <span class="decl"><span class="nottickedoff">downCast (MetaJoin tyL tL tR tyR) = C.MetaJoin (downCast tyL) tL tR (downCast tyR)</span> <span class="lineno"> 223 </span> <span class="decl"><span class="nottickedoff">downCast = map downCast</span></span>
<span class="lineno"> 224 </span><span class="spaces"> </span><span class="nottickedoff">downCast (Controls p1 p2) = C.Controls (downCast p1) (downCast p2)</span></span> <span class="lineno"> 224 </span> <span class="decl"><span class="istickedoff">upCast = map upCast</span></span>
<span class="lineno"> 225 </span> <span class="decl"><span class="nottickedoff">upCast (C.MetaJoin tyL tL tR tyR) = MetaJoin (upCast tyL) tL tR (upCast tyR)</span> <span class="lineno"> 225 </span>
<span class="lineno"> 226 </span><span class="spaces"> </span><span class="nottickedoff">upCast (C.Controls p1 p2) = Controls (upCast p1) (upCast p2)</span></span> <span class="lineno"> 226 </span>instance (Cast a a', Cast b b') =&gt; Cast (a,b) (a',b') where
<span class="lineno"> 227 </span> <span class="lineno"> 227 </span> <span class="decl"><span class="nottickedoff">downCast (a, b) = (downCast a, downCast b)</span></span>
<span class="lineno"> 228 </span>instance Cast (PathJoin a) (C.PathJoin a) where <span class="lineno"> 228 </span> <span class="decl"><span class="nottickedoff">upCast (a, b) = (upCast a, upCast b)</span></span>
<span class="lineno"> 229 </span> <span class="decl"><span class="istickedoff">downCast JoinLine = C.JoinLine</span> <span class="lineno"> 229 </span>
<span class="lineno"> 230 </span><span class="spaces"> </span><span class="istickedoff">downCast (JoinCurve a b) = C.JoinCurve (downCast a) (downCast b)</span></span> <span class="lineno"> 230 </span>instance Cast (V2 a) (C.Point a) where
<span class="lineno"> 231 </span> <span class="decl"><span class="nottickedoff">upCast C.JoinLine = JoinLine</span> <span class="lineno"> 231 </span> <span class="decl"><span class="istickedoff">downCast (V2 a b) = C.Point a b</span></span>
<span class="lineno"> 232 </span><span class="spaces"> </span><span class="nottickedoff">upCast (C.JoinCurve a b) = JoinCurve (upCast a) (upCast b)</span></span> <span class="lineno"> 232 </span> <span class="decl"><span class="istickedoff">upCast (C.Point a b) = V2 a b</span></span>
<span class="lineno"> 233 </span> <span class="lineno"> 233 </span>
<span class="lineno"> 234 </span>instance Cast (OpenMetaPath a) (C.OpenMetaPath a) where <span class="lineno"> 234 </span>instance Cast (CubicBezier a) (C.CubicBezier a) where
<span class="lineno"> 235 </span> <span class="decl"><span class="nottickedoff">downCast (OpenMetaPath lst end) = C.OpenMetaPath</span> <span class="lineno"> 235 </span> <span class="decl"><span class="istickedoff">downCast (CubicBezier a b c d) = C.CubicBezier</span>
<span class="lineno"> 236 </span><span class="spaces"> </span><span class="nottickedoff">[ (downCast p, downCast j)</span> <span class="lineno"> 236 </span><span class="spaces"> </span><span class="istickedoff">(downCast a) (downCast b) (downCast c) (downCast d)</span></span>
<span class="lineno"> 237 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ] (downCast end)</span></span> <span class="lineno"> 237 </span> <span class="decl"><span class="istickedoff">upCast (C.CubicBezier a b c d) = CubicBezier</span>
<span class="lineno"> 238 </span> <span class="decl"><span class="nottickedoff">upCast (C.OpenMetaPath lst end) = OpenMetaPath</span> <span class="lineno"> 238 </span><span class="spaces"> </span><span class="istickedoff">(upCast a) (upCast b) (upCast c) (upCast d)</span></span>
<span class="lineno"> 239 </span><span class="spaces"> </span><span class="nottickedoff">[ (upCast p, upCast j)</span> <span class="lineno"> 239 </span>
<span class="lineno"> 240 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ] (upCast end)</span></span> <span class="lineno"> 240 </span>instance Cast (QuadBezier a) (C.QuadBezier a) where
<span class="lineno"> 241 </span> <span class="lineno"> 241 </span> <span class="decl"><span class="istickedoff">downCast (QuadBezier a b c) = C.QuadBezier</span>
<span class="lineno"> 242 </span>instance Cast (ClosedMetaPath a) (C.ClosedMetaPath a) where <span class="lineno"> 242 </span><span class="spaces"> </span><span class="istickedoff">(downCast a) (downCast b) (downCast c)</span></span>
<span class="lineno"> 243 </span> <span class="decl"><span class="nottickedoff">downCast (ClosedMetaPath lst) = C.ClosedMetaPath</span> <span class="lineno"> 243 </span> <span class="decl"><span class="nottickedoff">upCast (C.QuadBezier a b c)= QuadBezier</span>
<span class="lineno"> 244 </span><span class="spaces"> </span><span class="nottickedoff">[ (downCast p, downCast j)</span> <span class="lineno"> 244 </span><span class="spaces"> </span><span class="nottickedoff">(upCast a) (upCast b) (upCast c)</span></span>
<span class="lineno"> 245 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ]</span></span> <span class="lineno"> 245 </span>
<span class="lineno"> 246 </span> <span class="decl"><span class="nottickedoff">upCast (C.ClosedMetaPath lst) = ClosedMetaPath</span> <span class="lineno"> 246 </span>instance V.Unbox a =&gt; Cast (AnyBezier a) (C.AnyBezier a) where
<span class="lineno"> 247 </span><span class="spaces"> </span><span class="nottickedoff">[ (upCast p, upCast j)</span> <span class="lineno"> 247 </span> <span class="decl"><span class="istickedoff">downCast (AnyBezier arr) = C.AnyBezier $</span>
<span class="lineno"> 248 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ]</span></span> <span class="lineno"> 248 </span><span class="spaces"> </span><span class="istickedoff">V.map (\(V2 a b) -&gt; (a,b)) arr</span></span>
<span class="lineno"> 249 </span> <span class="lineno"> 249 </span> <span class="decl"><span class="istickedoff">upCast (C.AnyBezier arr) = AnyBezier $</span>
<span class="lineno"> 250 </span>instance Cast (OpenPath a) (C.OpenPath a) where <span class="lineno"> 250 </span><span class="spaces"> </span><span class="istickedoff">V.map (\(a, b) -&gt; V2 a b) arr</span></span>
<span class="lineno"> 251 </span> <span class="decl"><span class="nottickedoff">downCast (OpenPath lst end) = C.OpenPath</span> <span class="lineno"> 251 </span>
<span class="lineno"> 252 </span><span class="spaces"> </span><span class="nottickedoff">[ (downCast p, downCast j)</span> <span class="lineno"> 252 </span>instance Cast (MetaNodeType a) (C.MetaNodeType a) where
<span class="lineno"> 253 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ] (downCast end)</span></span> <span class="lineno"> 253 </span> <span class="decl"><span class="nottickedoff">downCast Open = C.Open</span>
<span class="lineno"> 254 </span> <span class="decl"><span class="nottickedoff">upCast (C.OpenPath lst end) = OpenPath</span> <span class="lineno"> 254 </span><span class="spaces"> </span><span class="nottickedoff">downCast (Curl gamma) = C.Curl gamma</span>
<span class="lineno"> 255 </span><span class="spaces"> </span><span class="nottickedoff">[ (upCast p, upCast j)</span> <span class="lineno"> 255 </span><span class="spaces"> </span><span class="nottickedoff">downCast (Direction dir) = C.Direction (downCast dir)</span></span>
<span class="lineno"> 256 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ] (upCast end)</span></span> <span class="lineno"> 256 </span> <span class="decl"><span class="nottickedoff">upCast C.Open = Open</span>
<span class="lineno"> 257 </span> <span class="lineno"> 257 </span><span class="spaces"> </span><span class="nottickedoff">upCast (C.Curl gamma) = Curl gamma</span>
<span class="lineno"> 258 </span>instance Cast (ClosedPath a) (C.ClosedPath a) where <span class="lineno"> 258 </span><span class="spaces"> </span><span class="nottickedoff">upCast (C.Direction dir) = Direction (upCast dir)</span></span>
<span class="lineno"> 259 </span> <span class="decl"><span class="istickedoff">downCast (ClosedPath lst) = C.ClosedPath</span> <span class="lineno"> 259 </span>
<span class="lineno"> 260 </span><span class="spaces"> </span><span class="istickedoff">[ (downCast p, downCast j)</span> <span class="lineno"> 260 </span>instance Cast (MetaJoin a) (C.MetaJoin a) where
<span class="lineno"> 261 </span><span class="spaces"> </span><span class="istickedoff">| (p, j) &lt;- lst ]</span></span> <span class="lineno"> 261 </span> <span class="decl"><span class="nottickedoff">downCast (MetaJoin tyL tL tR tyR) = C.MetaJoin (downCast tyL) tL tR (downCast tyR)</span>
<span class="lineno"> 262 </span> <span class="decl"><span class="nottickedoff">upCast (C.ClosedPath lst) = ClosedPath</span> <span class="lineno"> 262 </span><span class="spaces"> </span><span class="nottickedoff">downCast (Controls p1 p2) = C.Controls (downCast p1) (downCast p2)</span></span>
<span class="lineno"> 263 </span><span class="spaces"> </span><span class="nottickedoff">[ (upCast p, upCast j)</span> <span class="lineno"> 263 </span> <span class="decl"><span class="nottickedoff">upCast (C.MetaJoin tyL tL tR tyR) = MetaJoin (upCast tyL) tL tR (upCast tyR)</span>
<span class="lineno"> 264 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ]</span></span> <span class="lineno"> 264 </span><span class="spaces"> </span><span class="nottickedoff">upCast (C.Controls p1 p2) = Controls (upCast p1) (upCast p2)</span></span>
<span class="lineno"> 265 </span>
<span class="lineno"> 266 </span>instance Cast (PathJoin a) (C.PathJoin a) where
<span class="lineno"> 267 </span> <span class="decl"><span class="istickedoff">downCast JoinLine = C.JoinLine</span>
<span class="lineno"> 268 </span><span class="spaces"> </span><span class="istickedoff">downCast (JoinCurve a b) = C.JoinCurve (downCast a) (downCast b)</span></span>
<span class="lineno"> 269 </span> <span class="decl"><span class="nottickedoff">upCast C.JoinLine = JoinLine</span>
<span class="lineno"> 270 </span><span class="spaces"> </span><span class="nottickedoff">upCast (C.JoinCurve a b) = JoinCurve (upCast a) (upCast b)</span></span>
<span class="lineno"> 271 </span>
<span class="lineno"> 272 </span>instance Cast (OpenMetaPath a) (C.OpenMetaPath a) where
<span class="lineno"> 273 </span> <span class="decl"><span class="nottickedoff">downCast (OpenMetaPath lst end) = C.OpenMetaPath</span>
<span class="lineno"> 274 </span><span class="spaces"> </span><span class="nottickedoff">[ (downCast p, downCast j)</span>
<span class="lineno"> 275 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ] (downCast end)</span></span>
<span class="lineno"> 276 </span> <span class="decl"><span class="nottickedoff">upCast (C.OpenMetaPath lst end) = OpenMetaPath</span>
<span class="lineno"> 277 </span><span class="spaces"> </span><span class="nottickedoff">[ (upCast p, upCast j)</span>
<span class="lineno"> 278 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ] (upCast end)</span></span>
<span class="lineno"> 279 </span>
<span class="lineno"> 280 </span>instance Cast (ClosedMetaPath a) (C.ClosedMetaPath a) where
<span class="lineno"> 281 </span> <span class="decl"><span class="nottickedoff">downCast (ClosedMetaPath lst) = C.ClosedMetaPath</span>
<span class="lineno"> 282 </span><span class="spaces"> </span><span class="nottickedoff">[ (downCast p, downCast j)</span>
<span class="lineno"> 283 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ]</span></span>
<span class="lineno"> 284 </span> <span class="decl"><span class="nottickedoff">upCast (C.ClosedMetaPath lst) = ClosedMetaPath</span>
<span class="lineno"> 285 </span><span class="spaces"> </span><span class="nottickedoff">[ (upCast p, upCast j)</span>
<span class="lineno"> 286 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ]</span></span>
<span class="lineno"> 287 </span>
<span class="lineno"> 288 </span>instance Cast (OpenPath a) (C.OpenPath a) where
<span class="lineno"> 289 </span> <span class="decl"><span class="nottickedoff">downCast (OpenPath lst end) = C.OpenPath</span>
<span class="lineno"> 290 </span><span class="spaces"> </span><span class="nottickedoff">[ (downCast p, downCast j)</span>
<span class="lineno"> 291 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ] (downCast end)</span></span>
<span class="lineno"> 292 </span> <span class="decl"><span class="nottickedoff">upCast (C.OpenPath lst end) = OpenPath</span>
<span class="lineno"> 293 </span><span class="spaces"> </span><span class="nottickedoff">[ (upCast p, upCast j)</span>
<span class="lineno"> 294 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ] (upCast end)</span></span>
<span class="lineno"> 295 </span>
<span class="lineno"> 296 </span>instance Cast (ClosedPath a) (C.ClosedPath a) where
<span class="lineno"> 297 </span> <span class="decl"><span class="istickedoff">downCast (ClosedPath lst) = C.ClosedPath</span>
<span class="lineno"> 298 </span><span class="spaces"> </span><span class="istickedoff">[ (downCast p, downCast j)</span>
<span class="lineno"> 299 </span><span class="spaces"> </span><span class="istickedoff">| (p, j) &lt;- lst ]</span></span>
<span class="lineno"> 300 </span> <span class="decl"><span class="nottickedoff">upCast (C.ClosedPath lst) = ClosedPath</span>
<span class="lineno"> 301 </span><span class="spaces"> </span><span class="nottickedoff">[ (upCast p, upCast j)</span>
<span class="lineno"> 302 </span><span class="spaces"> </span><span class="nottickedoff">| (p, j) &lt;- lst ]</span></span>
</pre> </pre>
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