262 lines
6.7 KiB
Nim
262 lines
6.7 KiB
Nim
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import pixie, pixie/paths, pixie/images, chroma, print, vmath, algorithm, sequtils, bumpy
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printColors = false
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proc intersectsInner*(a, b: Segment, at: var Vec2): bool {.inline.} =
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## Checks if the a segment intersects b segment.
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## If it returns true, at will have point of intersection
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let
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s1 = a.to - a.at
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s2 = b.to - b.at
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denominator = (-s2.x * s1.y + s1.x * s2.y)
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s = (-s1.y * (a.at.x - b.at.x) + s1.x * (a.at.y - b.at.y)) / denominator
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t = (s2.x * (a.at.y - b.at.y) - s2.y * (a.at.x - b.at.x)) / denominator
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if s > 0 and s < 1 and t >= 0 and t <= 1:
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at = a.at + (t * s1)
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return true
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type Trapezoid = object
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nw, ne, se, sw: Vec2
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proc roundBy*(v: Vec2, n: float32): Vec2 {.inline.} =
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result.x = sign(v.x) * round(abs(v.x) / n) * n
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result.y = sign(v.y) * round(abs(v.y) / n) * n
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proc pathToTrapezoids(p: Path): seq[Trapezoid] =
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var polygons = p.commands.commandsToPolygons()
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const q = 1/256.0
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# Creates segment q, quantize and remove verticals.
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var segments1: seq[Segment]
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for shape in polygons:
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for s in shape.segments:
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var s = s
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s.at = s.at.roundBy(q)
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s.to = s.to.roundBy(q)
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if s.at.y != s.to.y:
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segments1.add(s)
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#print segments1
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# Handle segments overlapping each other:
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# var segments1: seq[Segment]
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# while segments0.len > 0:
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# var a = segments0.pop()
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# var collision = false
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# for b in segments0:
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# if a != b:
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# var at: Vec2
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# if a.intersectsInner(b, at):
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# print "seg2seg intersects!", a, b, at
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# quit()
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# if not collision:
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# segments1.add(a)
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# There is probably a clever way to insert-sort them.
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var yScanLines: seq[float32]
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for s in segments1:
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if s.at.y notin yScanLines:
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yScanLines.add s.at.y
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if s.to.y notin yScanLines:
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yScanLines.add s.to.y
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yScanLines.sort()
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var segments: seq[Segment]
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while segments1.len > 0:
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#print segments1.len, segments.len
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var s = segments1.pop()
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var collision = false
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for y in yScanLines:
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var at: Vec2
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if intersects(line(vec2(0,y), vec2(1,y)), s, at):
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at = at.roundBy(q)
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at.y = y
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if s.at.y != at.y and s.to.y != at.y:
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#print "seg2yline intersects!", a, y, at
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collision = true
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var s1 = segment(s.at, at)
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var s2 = segment(at, s.to)
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#print s.length, "->", s1.length, s2.length
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segments1.add(s1)
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segments1.add(s2)
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break
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if not collision:
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segments.add(s)
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#print segments
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# sort at/to in segments
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for s in segments.mitems:
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if s.at.y > s.to.y:
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swap(s.at, s.to)
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#print segments
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#print yScanLines
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for yScanLine in yScanLines[0..^2]:
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var scanSegments: seq[Segment]
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for s in segments:
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if s.at.y == yScanLine:
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scanSegments.add(s)
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scanSegments.sort(proc(a, b: Segment): int =
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cmp(a.at.x, b.at.x))
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if scanSegments.len mod 2 != 0:
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print "error???"
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print yScanLine
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print scanSegments
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quit()
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# if scanSegments.len == 0:
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# print "error???"
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# print yScanLine
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# print scanSegments
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# quit()
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# TODO: winding rules will go here
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for i in 0 ..< scanSegments.len div 2:
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let
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a = scanSegments[i*2+0]
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b = scanSegments[i*2+1]
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assert a.at.y == b.at.y
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assert a.to.y == b.to.y
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#assert a.at.x < b.at.x
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#assert a.to.x < b.to.x
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result.add(
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Trapezoid(
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nw: a.at,
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ne: b.at,
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se: b.to,# + vec2(0,0.7),
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sw: a.to# + vec2(0,0.7)
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)
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)
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proc trapFill(image: Image, t: Trapezoid, color: ColorRGBA) =
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# assert t.nw.y == t.ne.y
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# assert t.sw.y == t.se.y
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let
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height = t.sw.y - t.nw.y
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minY = clamp(t.nw.y, 0, image.height.float)
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maxY = clamp(t.sw.y, 0, image.height.float)
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for y in minY.int ..< maxY.int:
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var yRate, minX, maxX: float32
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yRate = clamp((y.float - t.nw.y) / height, 0, 1)
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minX = clamp(lerp(t.nw.x, t.sw.x, yRate).round, 0, image.width.float)
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maxX = clamp(lerp(t.ne.x, t.se.x, yRate).round, 0, image.width.float)
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for x in minX.int ..< maxX.int:
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image.setRgbaUnsafe(x, y, color)
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proc drawTrapezoids(image: Image, trapezoids: seq[Trapezoid]) =
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for trapezoid in trapezoids:
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image.trapFill(trapezoid, rgba(0, 0, 0, 255))
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# for trapezoid in trapezoids:
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# var p = newPath()
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# p.moveTo(trapezoid.nw)
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# p.lineTo(trapezoid.ne)
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# p.lineTo(trapezoid.se)
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# p.lineTo(trapezoid.sw)
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# p.closePath()
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# image.fillPath(p, rgba(0, 0, 0, 255))
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# image.strokePath(p, rgba(255, 0, 0, 255))
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block:
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# Rect
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print "rect"
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var image = newImage(200, 200)
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image.fill(rgba(255, 255, 255, 255))
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var p = newPath()
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p.moveTo(50, 50)
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p.lineTo(50, 150)
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p.lineTo(150, 150)
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p.lineTo(150, 50)
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p.closePath()
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var trapezoids = p.pathToTrapezoids()
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image.drawTrapezoids(trapezoids)
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image.writeFile("trapezoids/rect.png")
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block:
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# Rhombus
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print "rhombus"
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var image = newImage(200, 200)
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image.fill(rgba(255, 255, 255, 255))
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var p = newPath()
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p.moveTo(100, 50)
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p.lineTo(150, 100)
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p.lineTo(100, 150)
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p.lineTo(50, 100)
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p.closePath()
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var trapezoids = p.pathToTrapezoids()
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image.drawTrapezoids(trapezoids)
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image.writeFile("trapezoids/rhombus.png")
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block:
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# heart
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print "heart"
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var image = newImage(400, 400)
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image.fill(rgba(255, 255, 255, 255))
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var p = parsePath("""
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M 40 120 A 80 80 90 0 1 200 120 A 80 80 90 0 1 360 120
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Q 360 240 200 360 Q 40 240 40 120 z
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""")
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var trapezoids = p.pathToTrapezoids()
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image.drawTrapezoids(trapezoids)
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image.writeFile("trapezoids/heart.png")
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block:
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# l
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print "l"
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var image = newImage(500, 800)
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image.fill(rgba(255, 255, 255, 255))
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var p = parsePath("""
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M 236 20 Q 150 22 114 57 T 78 166 V 790 L 171 806 V 181 Q 171 158 175 143 T 188 119 T 212 105.5 T 249 98 Z
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""")
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#image.strokePath(p, rgba(0, 0, 0, 255))
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var trapezoids = p.pathToTrapezoids()
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image.drawTrapezoids(trapezoids)
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image.writeFile("trapezoids/l.png")
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block:
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# g
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print "g"
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var image = newImage(500, 800)
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image.fill(rgba(255, 255, 255, 255))
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var p = parsePath("""
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M 406 538 Q 394 546 359.5 558.5 T 279 571 Q 232 571 190.5 556 T 118 509.5 T 69 431 T 51 319 Q 51 262 68 214.5 T 117.5 132.5 T 197 78.5 T 303 59 Q 368 59 416.5 68.5 T 498 86 V 550 Q 498 670 436 724 T 248 778 Q 199 778 155.5 770 T 80 751 L 97 670 Q 125 681 165.5 689.5 T 250 698 Q 333 698 369.5 665 T 406 560 V 538 Z M 405 152 Q 391 148 367.5 144.5 T 304 141 Q 229 141 188.5 190 T 148 320 Q 148 365 159.5 397 T 190.5 450 T 235.5 481 T 288 491 Q 325 491 356 480.5 T 405 456 V 152 Z
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""")
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#image.strokePath(p, rgba(0, 0, 0, 255))
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var trapezoids = p.pathToTrapezoids()
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image.drawTrapezoids(trapezoids)
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image.writeFile("trapezoids/g.png")
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