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https://gitlab.com/sheaf/metabrush.git
synced 2024-11-05 14:53:37 +00:00
add teardrop shaped brush
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parent
7eb16b4782
commit
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@ -158,7 +158,7 @@ runApplication application = do
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{ strokeName = "Stroke 1"
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, strokeVisible = True
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, strokeUnique = strokeUnique
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, strokeBrush = Just Asset.Brushes.ellipse
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, strokeBrush = Just Asset.Brushes.tearDrop
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, strokeSpline =
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-- Spline
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-- { splineStart = mkPoint ( ℝ2 -20 -20 ) 5
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@ -167,9 +167,9 @@ runApplication application = do
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-- ]
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-- }
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Spline
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{ splineStart = mkPoint ( ℝ2 0 0 ) 1 1 0
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{ splineStart = mkPoint ( ℝ2 0 0 ) 10 25 0
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, splineCurves = OpenCurves $ Seq.fromList
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[ LineTo { curveEnd = NextPoint ( mkPoint ( ℝ2 100 0 ) 10 10 (pi / 2) ), curveData = invalidateCache undefined }
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[ LineTo { curveEnd = NextPoint ( mkPoint ( ℝ2 100 0 ) 15 40 pi ), curveData = invalidateCache undefined }
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--, LineTo { curveEnd = NextPoint ( mkPoint ( ℝ2 -10 10 ) 8 5 ( pi / 4 ) ), curveData = invalidateCache undefined }
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--, LineTo { curveEnd = NextPoint ( mkPoint ( ℝ2 -10 -20 ) 10 7 ( pi / 2 ) ), curveData = invalidateCache undefined }
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]
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@ -179,10 +179,12 @@ runApplication application = do
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)
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]
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where
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mkPoint :: ℝ 2 -> Double -> Double -> Double -> PointData ( Record Asset.Brushes.EllipseBrushFields )
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mkPoint pt a b phi = PointData pt Normal ( MkR $ ℝ3 a b phi )
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-- mkPoint :: ℝ 2 -> Double -> PointData ( Record Asset.Brushes.CircleBrushFields )
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-- mkPoint pt r = PointData pt Normal ( MkR $ ℝ1 r )
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--mkPoint :: ℝ 2 -> Double -> Double -> Double -> PointData ( Record Asset.Brushes.EllipseBrushFields )
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--mkPoint pt a b phi = PointData pt Normal ( MkR $ ℝ3 a b phi )
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--mkPoint :: ℝ 2 -> Double -> PointData ( Record Asset.Brushes.CircleBrushFields )
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--mkPoint pt r = PointData pt Normal ( MkR $ ℝ1 r )
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mkPoint :: ℝ 2 -> Double -> Double -> Double -> PointData ( Record Asset.Brushes.TearDropBrushFields )
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mkPoint pt w h phi = PointData pt Normal ( MkR $ ℝ3 w h phi )
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recomputeStrokesTVar <- STM.newTVarIO @Bool False
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documentRenderTVar <- STM.newTVarIO @( ( Int32, Int32 ) -> Cairo.Render () ) ( const $ pure () )
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@ -6,8 +6,9 @@
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module MetaBrush.Asset.Brushes
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( lookupBrush, brushes
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, CircleBrushFields, circle
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, EllipseBrushFields, ellipse
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, CircleBrushFields, circle
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, EllipseBrushFields, ellipse
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, TearDropBrushFields, tearDrop
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) where
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-- base
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@ -19,7 +20,7 @@ import GHC.Exts
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-- containers
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import qualified Data.Sequence as Seq
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( fromList )
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( fromList, empty )
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-- text
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import Data.Text
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@ -55,9 +56,11 @@ brushes :: HashMap Text SomeBrush
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brushes = HashMap.fromList
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[ ( nm, b )
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| b@( SomeBrush ( BrushData { brushName = nm } ) )
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<- [ SomeBrush circle, SomeBrush ellipse ]
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<- [ SomeBrush circle, SomeBrush ellipse, SomeBrush tearDrop ]
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]
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--------------------------------------------------------------------------------
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-- | Root of @(Sqrt[2] (4 + 3 κ) - 16) (2 - 3 κ)^2 - 8 (1 - 3 κ) Sqrt[8 - 24 κ + 12 κ^2 + 8 κ^3 + 3 κ^4]@.
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--
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-- Used to approximate circles and ellipses with Bézier curves.
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@ -65,6 +68,7 @@ brushes = HashMap.fromList
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κ = 0.5519150244935105707435627227925
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type CircleBrushFields = '[ "r" ]
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-- | A circular brush with the given radius.
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circle :: Brush CircleBrushFields
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circle = BrushData "circle" ( WithParams deflts circleBrush )
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where
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@ -73,6 +77,8 @@ circle = BrushData "circle" ( WithParams deflts circleBrush )
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{-# INLINE circle #-}
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type EllipseBrushFields = '[ "a", "b", "phi" ]
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-- | An elliptical brush with the given semi-major and semi-minor axes and
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-- angle of rotation.
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ellipse :: Brush EllipseBrushFields
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ellipse = BrushData "ellipse" ( WithParams deflts ellipseBrush )
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where
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@ -80,6 +86,31 @@ ellipse = BrushData "ellipse" ( WithParams deflts ellipseBrush )
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deflts = MkR ( ℝ3 1 1 0 )
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{-# INLINE ellipse #-}
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-- | y-coordinate of the center of mass of the cubic Bézier teardrop
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-- with control points at (0,0), (±0.5,√3/2).
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tearCenter :: Double
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tearCenter = 3 * sqrt 3 / 14
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-- | Width of the cubic Bézier teardrop with control points at (0,0), (±0.5,√3/2).
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tearWidth :: Double
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tearWidth = 1 / ( 2 * sqrt 3 )
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-- | Height of the cubic Bézier teardrop with control points at (0,0), (±0.5,√3/2).
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tearHeight :: Double
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tearHeight = 3 * sqrt 3 / 8
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sqrt3_over_2 :: Double
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sqrt3_over_2 = 0.5 * sqrt 3
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type TearDropBrushFields = '[ "w", "h", "phi" ]
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-- | A tear-drop shape with the given width, height and angle of rotation.
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tearDrop :: Brush TearDropBrushFields
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tearDrop = BrushData "tear-drop" ( WithParams deflts tearDropBrush )
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where
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deflts :: Record TearDropBrushFields
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deflts = MkR ( ℝ3 1 2.25 0 )
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{-# INLINE tearDrop #-}
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--------------------------------------------------------------------------------
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-- Differentiable brushes.
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@ -187,3 +218,50 @@ ellipseBrush _ mkI =
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scaledBy d x = fmap ( mkI x * ) d
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{-# INLINEABLE ellipseBrush #-}
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tearDropBrush :: forall {t} (i :: t) k irec
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. ( irec ~ I i ( Record TearDropBrushFields )
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, Module
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( D k irec ( I i Double ) )
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( D k irec ( I i ( ℝ 2 ) ) )
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, Module ( I i Double ) ( T ( I i Double ) )
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, HasChainRule ( I i Double ) k irec
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, Representable ( I i Double ) irec
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, Applicative ( D k irec )
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, Transcendental ( D k irec ( I i Double ) )
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)
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=> Proxy# i
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-> ( forall a. a -> I i a )
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-> C k irec ( Spline 'Closed () ( I i ( ℝ 2 ) ) )
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tearDropBrush _ mkI =
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D \ params ->
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let w, h, phi :: D k irec ( I i Double )
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w = runD ( var @_ @k ( Fin 1 ) ) params
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h = runD ( var @_ @k ( Fin 2 ) ) params
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phi = runD ( var @_ @k ( Fin 3 ) ) params
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mkPt :: Double -> Double -> D k irec ( I i ( ℝ 2 ) )
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mkPt x y
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-- 1. translate the teardrop so that the center of mass is at the origin
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-- 2. scale the teardrop so that it has the requested width/height
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-- 3. rotate
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= let !x' = w `scaledBy` (x / tearWidth)
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!y' = ( h `scaledBy` ( ( y - tearCenter ) / tearHeight) )
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in
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( x' * cos phi - y' * sin phi ) *^ e_x
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^+^ ( y' * cos phi + x' * sin phi ) *^ e_y
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in sequenceA $
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Spline { splineStart = mkPt 0 0
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, splineCurves = ClosedCurves Seq.empty $
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Bezier3To
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( mkPt 0.5 sqrt3_over_2 )
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( mkPt -0.5 sqrt3_over_2 )
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BackToStart () }
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where
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e_x, e_y :: D k irec ( I i ( ℝ 2 ) )
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e_x = pure $ mkI $ ℝ2 1 0
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e_y = pure $ mkI $ ℝ2 0 1
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scaledBy d x = fmap ( mkI x * ) d
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{-# INLINEABLE tearDropBrush #-}
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