module Render ( renderDoc ) where import qualified Graphics.Svg as SVG import qualified Graphics.Svg.CssTypes as CSS import qualified Linear import Types import Transformation import SvgArcSegment import Approx import qualified CircularArc as CA import qualified BiArc as BA import qualified CubicBezier as B mapTuple :: (a -> b) -> (a, a) -> (b, b) mapTuple f (a1, a2) = (f a1, f a2) fromSvgPoint :: Int -> SVG.Point -> Point fromSvgPoint dpi (x,y) = (fromSvgNumber dpi x, fromSvgNumber dpi y) fromRPoint :: SVG.RPoint -> Point fromRPoint (Linear.V2 x y) = (x, y) toPoint :: Linear.V2 Double -> Point toPoint (Linear.V2 x y) = (x, y) fromPoint :: Point -> Linear.V2 Double fromPoint (x, y) = (Linear.V2 x y) -- TODO: em, percentage fromSvgNumber :: Int -> SVG.Number -> Double fromSvgNumber dpi num = fromNumber' (CSS.toUserUnit dpi num) where fromNumber' (SVG.Num n) = n fromNumber' _ = error "TODO: unhandled em or percentage" -- current point + control point -> mirrored control point mirrorControlPoint :: Point -> Point -> Point mirrorControlPoint (cx, cy) (cpx, cpy) = (cx + cx - cpx, cy + cy - cpy) -- convert a quadratic bezier to a cubic one bezierQ2C :: Point -> Point -> Point -> DrawOp bezierQ2C (qp0x, qp0y) (qp1x, qp1y) (qp2x, qp2y) = DBezierTo (qp0x + 2.0 / 3.0 * (qp1x - qp0x), qp0y + 2.0 / 3.0 * (qp1y - qp0y)) (qp2x + 2.0 / 3.0 * (qp1x - qp2x), qp2y + 2.0 / 3.0 * (qp1y - qp2y)) (qp2x, qp2y) toAbsolute :: (Double, Double) -> SVG.Origin -> (Double, Double) -> (Double, Double) toAbsolute _ SVG.OriginAbsolute p = p toAbsolute (cx,cy) SVG.OriginRelative (dx,dy) = (cx+dx, cy+dy) renderDoc :: Int -> SVG.Document -> [GCodeOp] renderDoc dpi doc = stage2 $ renderTrees identityMatrix (SVG._elements doc) where -- TODO: make it tail recursive stage2 :: [DrawOp] -> [GCodeOp] stage2 dops = convert dops (Linear.V2 0 0) where convert [] _ = [] convert (DMoveTo p:ds) _ = GMoveTo p : convert ds (fromPoint p) convert (DLineTo p:ds) _ = GLineTo p : convert ds (fromPoint p) convert (DBezierTo c1 c2 p2:ds) cp = concat (map biarc2garc biarcs) ++ convert ds (fromPoint p2) where biarcs = bezier2biarc (B.CubicBezier cp (fromPoint c1) (fromPoint c2) (fromPoint p2)) 5 1 biarc2garc biarc = [arc2garc (BA._a1 biarc), arc2garc (BA._a2 biarc)] arc2garc arc = GArcTo (toPoint (CA._c arc)) (toPoint (CA._p2 arc)) (CA.isClockwise arc) renderPathCommands :: Point -> Point -> Maybe Point -> [SVG.PathCommand] -> [DrawOp] renderPathCommands _ currentp _ (SVG.MoveTo origin (p:ps):ds) = DMoveTo ap : renderPathCommands ap ap Nothing (cont ps) where ap = toAbsolute currentp origin (fromRPoint p) cont [] = ds cont ps' = SVG.LineTo origin ps' : ds renderPathCommands firstp currentp _ (SVG.LineTo origin (p:ps):ds) = DLineTo ap : renderPathCommands firstp ap Nothing (cont ps) where ap = toAbsolute currentp origin (fromRPoint p) cont [] = ds cont ps' = SVG.LineTo origin ps' : ds renderPathCommands firstp (_, cy) _ (SVG.HorizontalTo SVG.OriginAbsolute (px:pxs):ds) = DLineTo ap : renderPathCommands firstp ap Nothing (cont pxs) where ap = (px,cy) cont [] = ds cont pxs' = SVG.HorizontalTo SVG.OriginAbsolute pxs' : ds renderPathCommands firstp (cx, cy) _ (SVG.HorizontalTo SVG.OriginRelative (dx:dxs):ds) = DLineTo ap : renderPathCommands firstp ap Nothing (cont dxs) where ap = (cx+dx,cy) cont [] = ds cont dxs' = SVG.HorizontalTo SVG.OriginRelative dxs' : ds renderPathCommands firstp (cx, _) _ (SVG.VerticalTo SVG.OriginAbsolute (py:pys):ds) = DLineTo ap : renderPathCommands firstp ap Nothing (cont pys) where ap = (cx,py) cont [] = ds cont pys' = SVG.VerticalTo SVG.OriginAbsolute pys' : ds renderPathCommands firstp (cx, cy) _ (SVG.VerticalTo SVG.OriginRelative (dy:dys):ds) = DLineTo ap : renderPathCommands firstp ap Nothing (cont dys) where ap = (cx,cy+dy) cont [] = ds cont dys' = SVG.VerticalTo SVG.OriginRelative dys' : ds renderPathCommands firstp currentp _ (SVG.CurveTo origin ((c1,c2,p):ps):ds) = DBezierTo ac1 ac2 ap : renderPathCommands firstp ap (Just ac2) (cont ps) where ap = toAbsolute currentp origin (fromRPoint p) ac1 = toAbsolute currentp origin (fromRPoint c1) ac2 = toAbsolute currentp origin (fromRPoint c2) cont [] = ds cont ps' = SVG.CurveTo origin ps' : ds renderPathCommands firstp currentp mbControlp (SVG.SmoothCurveTo origin ((c2,p):ps):ds) = DBezierTo ac1 ac2 ap : renderPathCommands firstp ap (Just ac2) (cont ps) where ap = toAbsolute currentp origin (fromRPoint p) ac1 = maybe ac2 (mirrorControlPoint currentp) mbControlp ac2 = toAbsolute currentp origin (fromRPoint c2) cont [] = ds cont ps' = SVG.SmoothCurveTo origin ps' : ds renderPathCommands firstp currentp _ (SVG.QuadraticBezier origin ((c1,p):ps):ds) = cbezier : renderPathCommands firstp ap (Just ac1) (cont ps) where ap = toAbsolute currentp origin (fromRPoint p) ac1 = toAbsolute currentp origin (fromRPoint c1) cbezier = bezierQ2C currentp ac1 ap cont [] = ds cont ps' = SVG.QuadraticBezier origin ps' : ds renderPathCommands firstp currentp mbControlp (SVG.SmoothQuadraticBezierCurveTo origin (p:ps):ds) = cbezier : renderPathCommands firstp ap (Just ac1) (cont ps) where ap = toAbsolute currentp origin (fromRPoint p) ac1 = maybe currentp (mirrorControlPoint currentp) mbControlp cbezier = bezierQ2C currentp ac1 ap cont [] = ds cont ps' = SVG.SmoothQuadraticBezierCurveTo origin ps' : ds renderPathCommands firstp currentp _ (SVG.EllipticalArc origin ((rx,ry,rot,largeArcFlag,sweepFlag,p):ps):ds) = convertSvgArc currentp rx ry rot largeArcFlag sweepFlag ap ++ renderPathCommands firstp ap Nothing (cont ps) where ap = toAbsolute currentp origin (fromRPoint p) cont [] = ds cont ps' = SVG.EllipticalArc origin ps' : ds renderPathCommands firstp@(fx,fy) (cx,cy) mbControlp (SVG.EndPath:ds) | fx /= cx || fy /= cy = DLineTo firstp : renderPathCommands firstp firstp mbControlp ds | otherwise = renderPathCommands firstp firstp mbControlp ds renderPathCommands _ _ _ _ = [] renderTree :: TransformationMatrix -> SVG.Tree -> [DrawOp] renderTree m (SVG.GroupTree g) = renderTrees (applyTransformations m (SVG._transform (SVG._groupDrawAttributes g))) (SVG._groupChildren g) renderTree m (SVG.PathTree p) = map (transformDrawOp tr) $ renderPathCommands (0,0) (0,0) Nothing (SVG._pathDefinition p) where tr = applyTransformations m (SVG._transform (SVG._pathDrawAttributes p)) renderTree m (SVG.RectangleTree r) | rx == 0.0 && ry == 0.0 = map (transformDrawOp tr) [DMoveTo (x,y), DLineTo (x+w,y), DLineTo (x+w,y+h), DLineTo (x,y+h), DLineTo (x,y)] | otherwise = map (transformDrawOp tr) ([DMoveTo (x,y+ry)] ++ convertSvgArc (x,y+ry) rx ry 0 False True (x+rx, y) ++ [DLineTo (x+w-rx,y)] ++ convertSvgArc (x+w-rx,y) rx ry 0 False True (x+w, y+ry) ++ [DLineTo (x+w,y+h-ry)] ++ convertSvgArc (x+w,y+h-ry) rx ry 0 False True (x+w-rx, y+h) ++ [DLineTo (x+rx,y+h)] ++ convertSvgArc (x+rx, y+h) rx ry 0 False True (x, y+h-ry) ++ [DLineTo (x,y+ry)]) where (x,y) = fromSvgPoint dpi (SVG._rectUpperLeftCorner r) w = fromSvgNumber dpi (SVG._rectWidth r) h = fromSvgNumber dpi (SVG._rectHeight r) (rx, ry) = mapTuple (fromSvgNumber dpi) (SVG._rectCornerRadius r) tr = applyTransformations m (SVG._transform (SVG._rectDrawAttributes r)) renderTree m (SVG.LineTree l) = [DMoveTo p1, DLineTo p2] where p1 = transformPoint tr (fromSvgPoint dpi (SVG._linePoint1 l)) p2 = transformPoint tr (fromSvgPoint dpi (SVG._linePoint1 l)) tr = applyTransformations m (SVG._transform (SVG._lineDrawAttributes l)) renderTree m (SVG.PolyLineTree l) = map (transformDrawOp tr) (DMoveTo p0:map DLineTo ps) where (p0:ps) = map (\(Linear.V2 x y) -> (x,y)) (SVG._polyLinePoints l) tr = applyTransformations m (SVG._transform (SVG._polyLineDrawAttributes l)) renderTree m (SVG.PolygonTree l) = map (transformDrawOp tr) (DMoveTo p0:map DLineTo (ps ++ [p0])) where (p0:ps) = map (\(Linear.V2 x y) -> (x,y)) (SVG._polygonPoints l) tr = applyTransformations m (SVG._transform (SVG._polygonDrawAttributes l)) renderTree m (SVG.EllipseTree e) = map (transformDrawOp tr) (DMoveTo (cx-rx,cy) : bs1++bs2++bs3++bs4) where bs1 = convertSvgArc (cx-rx, cy) rx ry 0 False True (cx, cy-ry) bs2 = convertSvgArc (cx, cy-ry) rx ry 0 False True (cx+rx, cy) bs3 = convertSvgArc (cx+rx, cy) rx ry 0 False True (cx, cy+ry) bs4 = convertSvgArc (cx, cy+ry) rx ry 0 False True (cx-rx, cy) (cx,cy) = fromSvgPoint dpi (SVG._ellipseCenter e) rx = fromSvgNumber dpi (SVG._ellipseXRadius e) ry = fromSvgNumber dpi (SVG._ellipseYRadius e) tr = applyTransformations m (SVG._transform (SVG._ellipseDrawAttributes e)) renderTree m (SVG.CircleTree c) = map (transformDrawOp tr) (DMoveTo (cx-r,cy) : bs1++bs2++bs3++bs4) where bs1 = convertSvgArc (cx-r, cy) r r 0 False True (cx, cy-r) bs2 = convertSvgArc (cx, cy-r) r r 0 False True (cx+r, cy) bs3 = convertSvgArc (cx+r, cy) r r 0 False True (cx, cy+r) bs4 = convertSvgArc (cx, cy+r) r r 0 False True (cx-r, cy) (cx,cy) = fromSvgPoint dpi (SVG._circleCenter c) r = fromSvgNumber dpi (SVG._circleRadius c) tr = applyTransformations m (SVG._transform (SVG._circleDrawAttributes c)) {- The rest: None, UseTree, SymbolTree, TextTree, ImageTree -} renderTree _ _ = [] renderTrees :: TransformationMatrix -> [SVG.Tree] -> [DrawOp] renderTrees m es = concat $ map (renderTree m) es