mirror of
https://gitlab.com/sheaf/metabrush.git
synced 2024-11-23 15:34:06 +00:00
start reworking brush stroking
This commit is contained in:
parent
f8b0ec2ab1
commit
b46dc2a140
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@ -61,6 +61,8 @@ common common
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-fspecialise-aggressively
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-optc-O3
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-optc-ffast-math
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-- work around a laziness bug involving runRW# in GHC 9.0.1
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-fno-full-laziness
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-Wall
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-Wcompat
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-fwarn-missing-local-signatures
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@ -181,7 +181,7 @@ instance HandleAction () where
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-- New file --
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--------------
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data NewFile = NewFile TabLocation
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data NewFile = NewFile !TabLocation
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deriving stock Show
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instance HandleAction NewFile where
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@ -192,7 +192,7 @@ instance HandleAction NewFile where
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-- Open file --
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---------------
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data OpenFile = OpenFile TabLocation
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data OpenFile = OpenFile !TabLocation
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deriving stock Show
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instance HandleAction OpenFile where
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@ -252,7 +252,7 @@ warningDialog window filePath errMess = do
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-- Open folder --
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-----------------
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data OpenFolder = OpenFolder TabLocation
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data OpenFolder = OpenFolder !TabLocation
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deriving stock Show
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instance HandleAction OpenFolder where
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@ -671,7 +671,7 @@ instance HandleAction About where
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-- Mouse movement --
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--------------------
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data MouseMove = MouseMove ( Point2D Double )
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data MouseMove = MouseMove !( Point2D Double )
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deriving stock Show
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instance HandleAction MouseMove where
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@ -714,7 +714,7 @@ instance HandleAction MouseMove where
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data ActionOrigin
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= ViewportOrigin
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| RulerOrigin Ruler
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| RulerOrigin !Ruler
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deriving stock Show
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data MouseClickType
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@ -722,7 +722,7 @@ data MouseClickType
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| DoubleClick
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deriving stock Show
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data MouseClick = MouseClick ActionOrigin MouseClickType Word32 ( Point2D Double )
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data MouseClick = MouseClick !ActionOrigin !MouseClickType !Word32 !( Point2D Double )
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deriving stock Show
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instance HandleAction MouseClick where
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@ -860,7 +860,7 @@ instance HandleAction MouseClick where
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-- Mouse release --
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-------------------
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data MouseRelease = MouseRelease Word32 ( Point2D Double )
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data MouseRelease = MouseRelease !Word32 !( Point2D Double )
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deriving stock Show
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instance HandleAction MouseRelease where
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@ -1053,7 +1053,7 @@ instance HandleAction MouseRelease where
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-- Scrolling --
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---------------
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data Scroll = Scroll ( Maybe ( Point2D Double ) ) ( Vector2D Double )
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data Scroll = Scroll !( Maybe ( Point2D Double ) ) !( Vector2D Double )
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deriving stock Show
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instance HandleAction Scroll where
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@ -1108,7 +1108,7 @@ instance HandleAction Scroll where
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-- Keyboard press --
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--------------------
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data KeyboardPress = KeyboardPress Word32
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data KeyboardPress = KeyboardPress !Word32
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deriving stock Show
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instance HandleAction KeyboardPress where
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@ -1153,7 +1153,7 @@ instance HandleAction KeyboardPress where
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-- Keyboard release --
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----------------------
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data KeyboardRelease = KeyboardRelease Word32
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data KeyboardRelease = KeyboardRelease !Word32
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deriving stock Show
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instance HandleAction KeyboardRelease where
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@ -45,13 +45,13 @@ class HandleAction action where
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instance HandleAction ()
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data NewFile = NewFile TabLocation
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data NewFile = NewFile !TabLocation
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instance HandleAction NewFile
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data OpenFile = OpenFile TabLocation
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data OpenFile = OpenFile !TabLocation
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instance HandleAction OpenFile
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data OpenFolder = OpenFolder TabLocation
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data OpenFolder = OpenFolder !TabLocation
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instance HandleAction OpenFolder
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data Save = Save
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@ -107,26 +107,26 @@ instance HandleAction Confirm
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data About = About
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instance HandleAction About
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data MouseMove = MouseMove ( Point2D Double )
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data MouseMove = MouseMove !( Point2D Double )
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instance HandleAction MouseMove
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data ActionOrigin
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= ViewportOrigin
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| RulerOrigin Ruler
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| RulerOrigin !Ruler
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data MouseClickType
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= SingleClick
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| DoubleClick
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data MouseClick = MouseClick ActionOrigin MouseClickType Word32 ( Point2D Double )
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data MouseClick = MouseClick !ActionOrigin !MouseClickType !Word32 !( Point2D Double )
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instance HandleAction MouseClick
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data MouseRelease = MouseRelease Word32 ( Point2D Double )
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data MouseRelease = MouseRelease !Word32 !( Point2D Double )
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instance HandleAction MouseRelease
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data Scroll = Scroll ( Maybe ( Point2D Double ) ) ( Vector2D Double )
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data Scroll = Scroll !( Maybe ( Point2D Double ) ) !( Vector2D Double )
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instance HandleAction Scroll
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data KeyboardPress = KeyboardPress Word32
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data KeyboardPress = KeyboardPress !Word32
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instance HandleAction KeyboardPress
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data KeyboardRelease = KeyboardRelease Word32
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data KeyboardRelease = KeyboardRelease !Word32
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instance HandleAction KeyboardRelease
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@ -184,9 +184,9 @@ runApplication application = do
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Spline
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{ splineStart = mkPoint ( Point2D 10 -20 ) 2
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, splineCurves = OpenCurves $ Seq.fromList
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[ LineTo { curveEnd = NextPoint ( mkPoint ( Point2D 10 10 ) 5 ), curveData = invalidateCache undefined }
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, LineTo { curveEnd = NextPoint ( mkPoint ( Point2D -10 10 ) 5 ), curveData = invalidateCache undefined }
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, LineTo { curveEnd = NextPoint ( mkPoint ( Point2D -10 -20 ) 2 ), curveData = invalidateCache undefined }
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[ LineTo { curveEnd = NextPoint ( mkPoint ( Point2D 10 10 ) 10 ), curveData = invalidateCache undefined }
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, LineTo { curveEnd = NextPoint ( mkPoint ( Point2D -10 10 ) 5 ), curveData = invalidateCache undefined }
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, LineTo { curveEnd = NextPoint ( mkPoint ( Point2D -10 -20 ) 15 ), curveData = invalidateCache undefined }
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]
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}
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}
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@ -81,7 +81,7 @@ import Math.Module
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import Math.Vector2D
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( Point2D )
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import {-# SOURCE #-} MetaBrush.Document.Serialise
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( Serialisable, Workaround(..) )
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( Serialisable, Workaround(..), workaround )
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import MetaBrush.MetaParameter.AST
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( SType(..), STypeI(..), SomeSType(..), STypes(..), STypesI(..), someSTypes
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, Adapted, BrushFunction
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@ -93,7 +93,7 @@ import MetaBrush.MetaParameter.Interpolation
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--------------------------------------------------------------------------------
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whatever :: Int
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whatever = case Workaround of
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whatever = case workaround Workaround of
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Workaround -> 0
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data Brush brushFields where
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@ -14,7 +14,8 @@
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{-# LANGUAGE UndecidableInstances #-}
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module MetaBrush.Document.Serialise
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( Workaround(..), Serialisable(..)
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( Workaround(..), workaround
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, Serialisable(..)
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, documentToJSON, documentFromJSON
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, saveDocument, loadDocument
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)
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@ -201,6 +202,8 @@ import qualified Paths_MetaBrush as Cabal
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-- | Dummy data-type that helps workaround a GHC bug with hs-boot files.
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data Workaround = Workaround
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workaround :: Workaround -> Workaround
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workaround Workaround = Workaround
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-- | Serialise a document to JSON (in the form of a lazy bytestring).
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documentToJSON :: Document -> Lazy.ByteString
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@ -2,7 +2,7 @@
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{-# LANGUAGE UndecidableInstances #-}
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module MetaBrush.Document.Serialise
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( Workaround(..), Serialisable(..) )
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( Workaround(..), workaround, Serialisable(..) )
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where
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-- base
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@ -31,6 +31,8 @@ import Math.Vector2D
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data Workaround = Workaround
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workaround :: Workaround -> Workaround
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class Serialisable a where
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encoder :: Monad f => JSON.Encoder f a
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decoder :: Monad m => JSON.Decoder m a
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@ -516,7 +516,10 @@ type BrushFunction brushFields = AdaptableFunction brushFields ( SplinePts Close
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newtype AdaptableFunction brushFields a
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= AdaptableFunction
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( forall givenFields usedFields
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. Adapted brushFields givenFields usedFields
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. ( Adapted brushFields givenFields usedFields
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-- Debugging.
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, Show ( Super.Rec givenFields )
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)
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=> ( Super.Rec givenFields -> Super.Rec usedFields
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, Super.Rec usedFields -> a
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)
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@ -303,12 +303,12 @@ strokeRenderData fitParams
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= Just $ case strokeBrush of
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Just ( AdaptedBrush ( brush :: Brush brushFields ) )
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| ( _ :: Proxy# usedFields ) <- ( proxy# :: Proxy# ( brushFields `SuperRecord.Intersect` pointFields ) )
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-- Get the adaptable brush shape (function),
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-- specialising it to the type we are using.
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, let
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toUsedParams :: Super.Rec pointFields -> Super.Rec usedFields
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brushShapeFn :: Super.Rec usedFields -> SplinePts Closed
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AdaptableFunction ( toUsedParams, brushShapeFn ) = brushFunction brush
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-- Get the adaptable brush shape (function),
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-- specialising it to the type we are using.
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-> do
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-- Compute the outline using the brush function.
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( outline, fitPts ) <-
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@ -101,10 +101,9 @@ import Math.Bezier.Spline
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, ssplineType, adjustSplineType
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, NextPoint(..), fromNextPoint
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, KnownSplineType
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( bifoldSpline, ibifoldSpline, bimapSpline )
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( bifoldSpline, ibifoldSpline )
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, Spline(..), SplinePts, Curves(..), Curve(..)
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, openCurveStart, openCurveEnd
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, splitSplineAt, dropCurves
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, openCurveEnd, splitSplineAt, dropCurves
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)
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import qualified Math.Bezier.Quadratic as Quadratic
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import Math.Epsilon
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@ -180,6 +179,8 @@ computeStrokeOutline ::
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, HasType ( Point2D Double ) ptData
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, HasType ( CachedStroke s ) crvData
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, NFData ptData, NFData crvData
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-- Debugging.
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, Show ptData
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)
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=> FitParameters
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-> ( ptData -> brushParams )
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@ -189,53 +190,54 @@ computeStrokeOutline ::
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( Either ( SplinePts Closed ) ( SplinePts Closed, SplinePts Closed )
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, Seq FitPoint
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)
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computeStrokeOutline fitParams ptParams brushFn spline@( Spline { splineStart = spt0, splineCurves } ) = case ssplineType @clo of
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computeStrokeOutline fitParams ptParams brushFn spline@( Spline { splineStart = spt0 } ) = case ssplineType @clo of
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-- Open brush path with at least one segment.
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-- Need to add caps at both ends of the path.
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SOpen
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| OpenCurves curves <- splineCurves
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, firstCurve :<| _ <- curves
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, prevCurves :|> lastCurve <- curves
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| ( firstOutlineFwd, firstOutlineBwd ) :<| _ <- outlineFns
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, _ :|> ( lastOutlineFwd, lastOutlineBwd ) <- outlineFns
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, _ :|> lastCurve <- openCurves $ splineCurves spline
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, let
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endPt :: ptData
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endPt = openCurveEnd lastCurve
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startTgt, endTgt :: Vector2D Double
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startTgt = coords spt0 --> coords ( openCurveStart firstCurve )
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endTgt = case prevCurves of
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Empty -> endTangent spt0 spt0 lastCurve
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_ :|> lastPrev -> endTangent spt0 ( openCurveEnd lastPrev ) lastCurve
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startTgtFwd, startTgtBwd, endTgtFwd, endTgtBwd :: Vector2D Double
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startTgtFwd = snd $ firstOutlineFwd 0
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startTgtBwd = snd $ firstOutlineBwd 1
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endTgtFwd = snd $ lastOutlineFwd 1
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endTgtBwd = snd $ lastOutlineBwd 0
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startBrush, endBrush :: SplinePts Closed
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startBrush = brushShape spt0
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endBrush = brushShape endPt
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startCap, endCap :: SplinePts Open
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startCap
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= fmap ( MkVector2D ( coords spt0 ) • )
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$ joinWithBrush ( withTangent ( (-1) *^ startTgt ) startBrush ) ( withTangent startTgt startBrush ) startBrush
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$ joinWithBrush ( withTangent ( (-1) *^ startTgtBwd ) startBrush ) ( withTangent startTgtFwd startBrush ) startBrush
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endCap
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= fmap ( MkVector2D ( coords endPt ) • )
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$ joinWithBrush ( withTangent endTgt endBrush ) ( withTangent ( (-1) *^ endTgt ) endBrush ) endBrush
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$ joinWithBrush ( withTangent endTgtFwd endBrush ) ( withTangent ( (-1) *^ endTgtBwd ) endBrush ) endBrush
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-> do
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TwoSided ( fwdPts, fwdFits ) ( bwdPts, bwdFits ) <- updateSpline startTgt
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TwoSided ( fwdPts, fwdFits ) ( bwdPts, bwdFits ) <- updateSpline ( startTgtFwd, startTgtBwd )
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pure
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( Left ( adjustSplineType @Closed $ startCap <> fwdPts <> endCap <> bwdPts )
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, fwdFits <> bwdFits
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)
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-- Closed brush path with at least one segment.
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-- Add forward and backward caps at the start.
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SClosed
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| ClosedCurves prevCurves lastCurve <- splineCurves
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| ( firstOutlineFwd, firstOutlineBwd ) :<| _ <- outlineFns
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, _ :|> ( lastOutlineFwd, lastOutlineBwd ) <- outlineFns
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, let
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startTgt, endTgt :: Vector2D Double
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startTgt = case prevCurves of
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Empty -> startTangent spt0 spt0 lastCurve
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firstCrv :<| _ -> startTangent spt0 spt0 firstCrv
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endTgt = case prevCurves of
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Empty -> endTangent spt0 spt0 lastCurve
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_ :|> lastPrev -> endTangent spt0 ( openCurveEnd lastPrev ) lastCurve
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startTgtFwd, startTgtBwd, endTgtFwd, endTgtBwd :: Vector2D Double
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startTgtFwd = snd $ firstOutlineFwd 0
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startTgtBwd = snd $ firstOutlineBwd 1
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endTgtFwd = snd $ lastOutlineFwd 1
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endTgtBwd = snd $ lastOutlineBwd 0
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fwdStartCap, bwdStartCap :: SplinePts Open
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TwoSided fwdStartCap bwdStartCap
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= fmap fst . snd . runWriter
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$ tellBrushJoin endTgt spt0 startTgt
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$ tellBrushJoin ( endTgtFwd, endTgtBwd ) spt0 ( startTgtFwd, startTgtBwd )
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-> do
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TwoSided ( fwdPts, fwdFits ) ( bwdPts, bwdFits ) <- updateSpline endTgt
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TwoSided ( fwdPts, fwdFits ) ( bwdPts, bwdFits ) <- updateSpline ( endTgtFwd, endTgtBwd )
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pure
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( Right ( adjustSplineType @Closed ( fwdStartCap <> fwdPts ), adjustSplineType @Closed ( bwdPts <> bwdStartCap ) )
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, fwdFits <> bwdFits
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@ -243,160 +245,54 @@ computeStrokeOutline fitParams ptParams brushFn spline@( Spline { splineStart =
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-- Single point.
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_ ->
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pure
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( Left $ bimapSpline ( const id ) ( MkVector2D ( coords spt0 ) • ) ( brushShape spt0 )
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( Left $ fmap ( MkVector2D ( coords spt0 ) • ) ( brushShape spt0 )
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, Empty
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)
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where
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outlineFns
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:: Seq
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( Double -> ( Point2D Double, Vector2D Double )
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, Double -> ( Point2D Double, Vector2D Double )
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)
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outlineFns = go spt0 ( openCurves $ splineCurves ( adjustSplineType @Open spline ) )
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where
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go
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:: ptData
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-> Seq ( Curve Open crvData ptData )
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-> Seq
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( Double -> ( Point2D Double, Vector2D Double )
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, Double -> ( Point2D Double, Vector2D Double )
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)
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go _ Empty = Empty
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go p0 ( crv :<| crvs ) =
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outlineFunctions @diffParams ptParams brushFn p0 crv :<| go ( openCurveEnd crv ) crvs
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brushShape :: ptData -> SplinePts Closed
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brushShape pt = brushFn ( ptParams pt )
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updateSpline :: Vector2D Double -> ST s OutlineData
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updateSpline lastTgt
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updateSpline :: ( Vector2D Double, Vector2D Double ) -> ST s OutlineData
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updateSpline ( lastTgtFwd, lastTgtBwd )
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= execWriterT
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. ( `evalStateT` lastTgt )
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. ( `evalStateT` ( lastTgtFwd, lastTgtBwd ) )
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$ bifoldSpline
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( \ ptData curve -> do
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prev_tgt <- get
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( prev_tgtFwd, prev_tgtBwd ) <- get
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let
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tgt :: Vector2D Double
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tgt = startTangent spt0 ptData curve
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lift $ tellBrushJoin prev_tgt ptData tgt
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lift $ strokeOutline ptData curve
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put ( endTangent spt0 ptData curve )
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fwd, bwd :: Double -> ( Point2D Double, Vector2D Double )
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( fwd, bwd ) = outlineFunctions @diffParams ptParams brushFn ptData curve
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tgtFwd, tgtBwd, next_tgtFwd, next_tgtBwd :: Vector2D Double
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tgtFwd = snd ( fwd 0 )
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tgtBwd = snd ( bwd 1 )
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next_tgtFwd = snd ( fwd 1 )
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next_tgtBwd = snd ( bwd 0 )
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lift $ tellBrushJoin ( prev_tgtFwd, prev_tgtBwd ) ptData ( tgtFwd, tgtBwd )
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lift $ updateCurveData ( curveData curve ) fwd bwd
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put ( next_tgtFwd, next_tgtBwd )
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)
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( const ( pure () ) )
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( adjustSplineType @Open spline )
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strokeOutline
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:: ptData -> Curve Open crvData ptData
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-> WriterT OutlineData ( ST s ) ()
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strokeOutline sp0 ( LineTo { curveEnd = NextPoint sp1, curveData } ) =
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let
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p0, p1 :: Point2D Double
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p0 = coords sp0
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p1 = coords sp1
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tgt :: Vector2D Double
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tgt = p0 --> p1
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brush :: Double -> SplinePts Closed
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brush t = brushFn ( lerp @diffParams t ( ptParams sp0 ) ( ptParams sp1 ) )
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fwd, bwd :: Double -> ( Point2D Double, Vector2D Double )
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fwd t
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= ( off t
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, if squaredNorm offTgt < epsilon then tgt else offTgt
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)
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where
|
||||
off :: Double -> Point2D Double
|
||||
off x = offset ( withTangent tgt ( brush x ) ) • lerp @( Vector2D Double ) x p0 p1
|
||||
offTgt :: Vector2D Double
|
||||
offTgt
|
||||
| t < 0.5
|
||||
= 1e9 *^ ( off t --> off (t + 1e-9) )
|
||||
| otherwise
|
||||
= 1e9 *^ ( off (t - 1e-9) --> off t )
|
||||
bwd t
|
||||
= ( off s
|
||||
, if squaredNorm offTgt < epsilon then (-1) *^ tgt else offTgt
|
||||
)
|
||||
where
|
||||
s :: Double
|
||||
s = 1 - t
|
||||
off :: Double -> Point2D Double
|
||||
off x = offset ( withTangent ( (-1) *^ tgt ) ( brush x ) ) • lerp @( Vector2D Double ) x p0 p1
|
||||
offTgt :: Vector2D Double
|
||||
offTgt
|
||||
| s < 0.5
|
||||
= 1e9 *^ ( off s --> off (s + 1e-9) )
|
||||
| otherwise
|
||||
= 1e9 *^ ( off (s - 1e-9) --> off s )
|
||||
in
|
||||
updateCurveData curveData fwd bwd
|
||||
strokeOutline sp0 ( Bezier2To { controlPoint = sp1, curveEnd = NextPoint sp2, curveData } ) =
|
||||
let
|
||||
p0, p1, p2 :: Point2D Double
|
||||
p0 = coords sp0
|
||||
p1 = coords sp1
|
||||
p2 = coords sp2
|
||||
bez :: Quadratic.Bezier ( Point2D Double )
|
||||
bez = Quadratic.Bezier {..}
|
||||
brush :: Double -> SplinePts Closed
|
||||
brush t = brushFn
|
||||
$ Quadratic.bezier @diffParams
|
||||
( Quadratic.Bezier ( ptParams sp0 ) ( ptParams sp1 ) ( ptParams sp2 ) ) t
|
||||
fwd, bwd :: Double -> ( Point2D Double, Vector2D Double )
|
||||
fwd t
|
||||
= ( off t
|
||||
, if squaredNorm offTgt < epsilon then Quadratic.bezier' bez t else offTgt
|
||||
)
|
||||
where
|
||||
off :: Double -> Point2D Double
|
||||
off x = offset ( withTangent ( Quadratic.bezier' bez x ) ( brush x ) ) • Quadratic.bezier @( Vector2D Double ) bez x
|
||||
offTgt :: Vector2D Double
|
||||
offTgt
|
||||
| t < 0.5
|
||||
= 1e9 *^ ( off t --> off (t + 1e-9) )
|
||||
| otherwise
|
||||
= 1e9 *^ ( off (t - 1e-9) --> off t )
|
||||
bwd t
|
||||
= ( off s
|
||||
, if squaredNorm offTgt < epsilon then (-1) *^ Quadratic.bezier' bez s else offTgt
|
||||
)
|
||||
where
|
||||
s :: Double
|
||||
s = 1 - t
|
||||
off :: Double -> Point2D Double
|
||||
off x = offset ( withTangent ( (-1) *^ Quadratic.bezier' bez x ) ( brush x ) ) • Quadratic.bezier @( Vector2D Double ) bez x
|
||||
offTgt :: Vector2D Double
|
||||
offTgt
|
||||
| s < 0.5
|
||||
= 1e9 *^ ( off s --> off (s + 1e-9) )
|
||||
| otherwise
|
||||
= 1e9 *^ ( off (s - 1e-9) --> off s )
|
||||
in updateCurveData curveData fwd bwd
|
||||
strokeOutline sp0 ( Bezier3To { controlPoint1 = sp1, controlPoint2 = sp2, curveEnd = NextPoint sp3, curveData } ) =
|
||||
let
|
||||
p0, p1, p2, p3 :: Point2D Double
|
||||
p0 = coords sp0
|
||||
p1 = coords sp1
|
||||
p2 = coords sp2
|
||||
p3 = coords sp3
|
||||
bez :: Cubic.Bezier ( Point2D Double )
|
||||
bez = Cubic.Bezier {..}
|
||||
brush :: Double -> SplinePts Closed
|
||||
brush t = brushFn
|
||||
$ Cubic.bezier @diffParams
|
||||
( Cubic.Bezier ( ptParams sp0 ) ( ptParams sp1 ) ( ptParams sp2 ) ( ptParams sp3 ) ) t
|
||||
fwd, bwd :: Double -> ( Point2D Double, Vector2D Double )
|
||||
fwd t
|
||||
= ( off t
|
||||
, if squaredNorm offTgt < epsilon then Cubic.bezier' bez t else offTgt
|
||||
)
|
||||
where
|
||||
off :: Double -> Point2D Double
|
||||
off x = offset ( withTangent ( Cubic.bezier' bez x ) ( brush x ) ) • Cubic.bezier @( Vector2D Double ) bez x
|
||||
offTgt :: Vector2D Double
|
||||
offTgt
|
||||
| t < 0.5
|
||||
= 1e9 *^ ( off t --> off (t + 1e-9) )
|
||||
| otherwise
|
||||
= 1e9 *^ ( off (t - 1e-9) --> off t )
|
||||
bwd t
|
||||
= ( off s
|
||||
, if squaredNorm offTgt < epsilon then (-1) *^ Cubic.bezier' bez s else offTgt
|
||||
)
|
||||
where
|
||||
s :: Double
|
||||
s = 1 - t
|
||||
off :: Double -> Point2D Double
|
||||
off x = offset ( withTangent ( (-1) *^ Cubic.bezier' bez x ) ( brush x ) ) • Cubic.bezier @( Vector2D Double ) bez x
|
||||
offTgt :: Vector2D Double
|
||||
offTgt
|
||||
| s < 0.5
|
||||
= 1e9 *^ ( off s --> off (s + 1e-9) )
|
||||
| otherwise
|
||||
= 1e9 *^ ( off (s - 1e-9) --> off s )
|
||||
in updateCurveData curveData fwd bwd
|
||||
|
||||
updateCurveData
|
||||
:: crvData
|
||||
-> ( Double -> ( Point2D Double, Vector2D Double ) )
|
||||
|
@ -426,29 +322,122 @@ computeStrokeOutline fitParams ptParams brushFn spline@( Spline { splineStart =
|
|||
-- This happens at corners of the brush path (including endpoints of an open brush path, where the tangent flips direction).
|
||||
tellBrushJoin
|
||||
:: Monad m
|
||||
=> Vector2D Double
|
||||
=> ( Vector2D Double, Vector2D Double )
|
||||
-> ptData
|
||||
-> Vector2D Double
|
||||
-> ( Vector2D Double, Vector2D Double )
|
||||
-> WriterT OutlineData m ()
|
||||
tellBrushJoin prevTgt sp0 tgt
|
||||
| tgt `parallel` prevTgt
|
||||
= pure ()
|
||||
| otherwise
|
||||
= tell brushJoin
|
||||
where
|
||||
ptOffset :: Vector2D Double
|
||||
ptOffset = Point2D 0 0 --> coords sp0
|
||||
brush0 :: SplinePts Closed
|
||||
brush0 = brushShape sp0
|
||||
fwdJoin, bwdJoin :: SplinePts Open
|
||||
fwdJoin
|
||||
= fmap ( ptOffset • )
|
||||
$ joinWithBrush ( withTangent prevTgt brush0 ) ( withTangent tgt brush0 ) brush0
|
||||
bwdJoin
|
||||
= fmap ( ptOffset • )
|
||||
$ joinWithBrush ( withTangent ( (-1) *^ tgt ) brush0 ) ( withTangent ( (-1) *^ prevTgt ) brush0 ) brush0
|
||||
brushJoin :: OutlineData
|
||||
brushJoin = TwoSided ( fwdJoin, Empty ) ( bwdJoin, Empty )
|
||||
tellBrushJoin ( prevTgtFwd, prevTgtBwd ) sp0 ( tgtFwd, tgtBwd ) = tell brushJoin
|
||||
where
|
||||
ptOffset :: Vector2D Double
|
||||
ptOffset = Point2D 0 0 --> coords sp0
|
||||
brush0 :: SplinePts Closed
|
||||
brush0 = brushShape sp0
|
||||
fwdJoin, bwdJoin :: SplinePts Open
|
||||
fwdJoin
|
||||
| tgtFwd `parallel` prevTgtFwd
|
||||
= Spline { splineStart = coords sp0, splineCurves = OpenCurves Empty }
|
||||
| otherwise
|
||||
= fmap ( ptOffset • )
|
||||
$ joinWithBrush ( withTangent prevTgtFwd brush0 ) ( withTangent tgtFwd brush0 ) brush0
|
||||
bwdJoin
|
||||
| tgtBwd `parallel` prevTgtBwd
|
||||
= Spline { splineStart = coords sp0, splineCurves = OpenCurves Empty }
|
||||
| otherwise
|
||||
= fmap ( ptOffset • )
|
||||
$ joinWithBrush ( withTangent ( (-1) *^ tgtBwd ) brush0 ) ( withTangent ( (-1) *^ prevTgtBwd ) brush0 ) brush0
|
||||
brushJoin :: OutlineData
|
||||
brushJoin = TwoSided ( fwdJoin, Empty ) ( bwdJoin, Empty )
|
||||
|
||||
-- | Computes the forward and backward stroke outline functions for a single curve.
|
||||
outlineFunctions
|
||||
:: forall diffParams brushParams crvData ptData
|
||||
. ( Group diffParams, Module Double diffParams
|
||||
, Torsor diffParams brushParams
|
||||
, HasType ( Point2D Double ) ptData
|
||||
-- Debugging.
|
||||
, Show ptData
|
||||
)
|
||||
=> ( ptData -> brushParams )
|
||||
-> ( brushParams -> SplinePts Closed )
|
||||
-> ptData
|
||||
-> Curve Open crvData ptData
|
||||
-> ( Double -> ( Point2D Double, Vector2D Double )
|
||||
, Double -> ( Point2D Double, Vector2D Double )
|
||||
)
|
||||
outlineFunctions ptParams brushFn sp0 crv =
|
||||
let
|
||||
p0 :: Point2D Double
|
||||
p0 = coords sp0
|
||||
brush :: Double -> SplinePts Closed
|
||||
f :: Double -> Point2D Double
|
||||
f' :: Double -> Vector2D Double
|
||||
( brush, f, f' ) = case crv of
|
||||
LineTo { curveEnd = NextPoint sp1 }
|
||||
| let
|
||||
p1 :: Point2D Double
|
||||
p1 = coords sp1
|
||||
tgt :: Vector2D Double
|
||||
tgt = p0 --> p1
|
||||
brush1 :: Double -> SplinePts Closed
|
||||
brush1 t = brushFn ( lerp @diffParams t ( ptParams sp0 ) ( ptParams sp1 ) )
|
||||
-> ( brush1, \ t -> lerp @( Vector2D Double ) t p0 p1, const tgt )
|
||||
Bezier2To { controlPoint = sp1, curveEnd = NextPoint sp2 }
|
||||
| let
|
||||
p1, p2 :: Point2D Double
|
||||
p1 = coords sp1
|
||||
p2 = coords sp2
|
||||
bez :: Quadratic.Bezier ( Point2D Double )
|
||||
bez = Quadratic.Bezier {..}
|
||||
brush2 :: Double -> SplinePts Closed
|
||||
brush2 t =
|
||||
brushFn $
|
||||
Quadratic.bezier @diffParams
|
||||
( Quadratic.Bezier ( ptParams sp0 ) ( ptParams sp1 ) ( ptParams sp2 ) ) t
|
||||
-> ( brush2, Quadratic.bezier @( Vector2D Double ) bez, Quadratic.bezier' bez )
|
||||
Bezier3To { controlPoint1 = sp1, controlPoint2 = sp2, curveEnd = NextPoint sp3 }
|
||||
| let
|
||||
p1, p2, p3 :: Point2D Double
|
||||
p1 = coords sp1
|
||||
p2 = coords sp2
|
||||
p3 = coords sp3
|
||||
bez :: Cubic.Bezier ( Point2D Double )
|
||||
bez = Cubic.Bezier {..}
|
||||
brush3 :: Double -> SplinePts Closed
|
||||
brush3 t =
|
||||
brushFn $
|
||||
Cubic.bezier @diffParams
|
||||
( Cubic.Bezier ( ptParams sp0 ) ( ptParams sp1 ) ( ptParams sp2 ) ( ptParams sp3 ) ) t
|
||||
-> ( brush3, Cubic.bezier @( Vector2D Double ) bez, Cubic.bezier' bez )
|
||||
fwd, bwd :: Double -> ( Point2D Double, Vector2D Double )
|
||||
fwd t
|
||||
= ( off t
|
||||
, if squaredNorm offTgt < epsilon then f' t else offTgt
|
||||
)
|
||||
where
|
||||
off :: Double -> Point2D Double
|
||||
off u = offset ( withTangent ( f' u ) ( brush u ) ) • f u
|
||||
offTgt :: Vector2D Double
|
||||
offTgt
|
||||
| t < 0.5
|
||||
= 1e9 *^ ( off t --> off (t + 1e-9) )
|
||||
| otherwise
|
||||
= 1e9 *^ ( off (t - 1e-9) --> off t )
|
||||
bwd t
|
||||
= ( off s
|
||||
, if squaredNorm offTgt < epsilon then (-1) *^ f' s else offTgt
|
||||
)
|
||||
where
|
||||
s :: Double
|
||||
s = 1 - t
|
||||
off :: Double -> Point2D Double
|
||||
off u = offset ( withTangent ( (-1) *^ f' u ) ( brush u ) ) • f u
|
||||
offTgt :: Vector2D Double
|
||||
offTgt
|
||||
| s < 0.5
|
||||
= 1e9 *^ ( off s --> off (s + 1e-9) )
|
||||
| otherwise
|
||||
= 1e9 *^ ( off (s - 1e-9) --> off s )
|
||||
in ( fwd, bwd )
|
||||
|
||||
-----------------------------------
|
||||
-- Various utility functions
|
||||
|
|
Loading…
Reference in a new issue