def _p5_circleArcOP2(arc, style):
if arc == None:
return None
if arc.disk.a == 0:
return _p5_segmentE2(
SegmentE2(
arc.source.toPointE2(),
arc.target.toPointE2()
),
style
)
else:
rad = arc.radius
srcOP2, trgOP2 = (arc.source, arc.target) if arc.disk.a >= 0 else (arc.target, arc.source)
src, trg = srcOP2.toPointE2(), trgOP2.toPointE2()
ratio = math.sqrt(src.distTo(trg)) / rad
if ratio < 0.1:
return _p5_segmentE2(
SegmentE2(
arc.source.toPointE2(),
arc.target.toPointE2()
),
style
)
else:
radInv = 1.0 / rad
center = arc.disk.center.toPointE2()
srcV = VectorE2((src.x - center.x) * radInv, (src.y - center.y) * radInv)
trgV = VectorE2((trg.x - center.x) * radInv, (trg.y - center.y) * radInv)
srcAngle = srcV.angleFromXAxis()
targetAngle = trgV.angleFromXAxis()
if srcAngle > targetAngle:
targetAngle += 2.0 * math.pi
result = {"type": "CircleArcE2",
"center": tuple(center),
"radius": rad,
"srcAngle": srcAngle,
"targetAngle": targetAngle}
if style == None:
result["style"] = makeStyle(stroke = "#000", strokeWeight = 1)
return result
def TutteEmbeddedTilingViewer(tiling,
tutteGraph,
edgeStyle=makeStyle(stroke="#0375b4",
strokeWeight=0.5),
shadedLevel=-1,
style_fn=random_fill,
showVertices=False):
from koebe.geometries.euclidean2 import SegmentE2, PolygonE2
for vIdx in range(len(tiling.verts)):
tiling.verts[vIdx].idx = vIdx
viewer = UnitScaleE2Sketch()
if shadedLevel != -1 and shadedLevel < len(tiling.faceLevels):
faces = (tiling.faceLevels[shadedLevel]
if shadedLevel < len(tiling.faceLevels) else tiling.faces)
for i in range(1, len(faces)):
faces[i].idx = i
style = style_fn(faces[i])
for tile in collectFaces(faces[i]):
viewer.add(
PolygonE2([
tutteGraph.verts[v.idx].data for v in tile.vertices()
]), style)
viewer.addAll([(SegmentE2(e.aDart.origin.data,
e.aDart.twin.origin.data), edgeStyle)
for e in tutteGraph.edges])
if showVertices: viewer.addAll([v.data for v in tutteGraph.verts])
return viewer
def _p5_dict(obj, style):
if type(obj) is Vertex:
obj = obj.data
if type(obj) is PointE2:
result = _p5_pointE2(obj)
elif type(obj) is PointH2:
result = _p5_pointE2(obj.toPointE2())
elif type(obj) is PointOP2:
result = _p5_pointE2(obj.toPointE2())
elif type(obj) is CircleE2:
result = _p5_circleE2(obj, style)
elif type(obj) is CircleH2:
result = _p5_circleE2(obj.toPoincareCircleE2(), style)
elif type(obj) is DiskOP2:
result = _p5_circleE2(obj.toCircleE2(), style)
elif type(obj) is DCEL:
result = _p5_dcel(obj, style)
elif type(obj) is Edge:
result = _p5_edge(obj, style)
elif type(obj) is Face:
result = _p5_face(obj, style)
elif type(obj) is CircleArcOP2:
result = _p5_circleArcOP2(obj, style)
elif type(obj) is SegmentE2:
result = _p5_segmentE2(obj, style)
elif type(obj) is SegmentOP2:
result = _p5_segmentE2(SegmentE2(obj.source.toPointE2(),
obj.target.toPointE2()), style)
elif type(obj) is SegmentH2:
result = _p5_circleArcOP2(obj.toPoincareCircleArcOP2(), style)
elif type(obj) is LineH2:
result = _p5_circleArcOP2(obj.toPoincareCircleArcOP2(), style)
elif type(obj) is PolygonE2:
result = _p5_polygonE2(obj, style)
else:
result = None
if result != None and style != None:
result["style"] = style
return result
def SegmentE2For(dart):
return SegmentE2(PointE2For(dart.origin), PointE2For(dart.dest))
def pointSegmentE2For(dart):
return SegmentE2(mvPt(dart.origin.point), mvPt(dart.dest.point))