def reflect(shape, position, _angle, keep_original):
"""Mirrors and copies the geometry across an invisible axis."""
if shape is None: return None
new_shape = shape.cloneAndClear()
for contour in shape.contours:
c = Contour()
for point in contour.points:
d = distance(point.x, point.y, position.x, position.y)
a = angle(point.x, point.y, position.x, position.y)
x, y = coordinates(position.x, position.y, d * cos(radians(a - _angle)), 180 + _angle)
d = distance(point.x, point.y, x, y)
a = angle(point.x, point.y, x, y)
px, py = coordinates(point.x, point.y, d * 2, a)
c.addPoint(Point(px, py, point.type))
if contour.closed:
c.close()
new_shape.add(c)
if keep_original:
g = Geometry()
g.add(shape)
g.add(new_shape)
return g
return new_shape
def reflect(shape, position, _angle, keep_original):
"""Mirrors and copies the geometry across an invisible axis."""
if shape is None: return None
new_shape = shape.cloneAndClear()
for contour in shape.contours:
c = Contour()
for point in contour.points:
d = distance(point.x, point.y, position.x, position.y)
a = angle(point.x, point.y, position.x, position.y)
x, y = coordinates(position.x, position.y,
d * cos(radians(a - _angle)), 180 + _angle)
d = distance(point.x, point.y, x, y)
a = angle(point.x, point.y, x, y)
px, py = coordinates(point.x, point.y, d * 2, a)
c.addPoint(Point(px, py, point.type))
if contour.closed:
c.close()
new_shape.add(c)
if keep_original:
g = Geometry()
g.add(shape)
g.add(new_shape)
return g
return new_shape
def _pack(circles, damping=0.1, padding=2, exclude=[]):
circles.sort(lambda a, b: a.offset < b.offset)
# Repulsive force: move away from intersecting circles.
for i in range(len(circles)):
circle1 = circles[i]
for j in range(i+1, len(circles)):
circle2 = circles[j]
d = distance(circle1.x, circle1.y, circle2.x, circle2.y)
if d == 0: d = 0.001
r = circle1.radius + circle2.radius + padding
if d**2 < r**2 - 0.01:
dx = circle2.x - circle1.x
dy = circle2.y - circle1.y
vx = (dx / d) * (r-d) * 0.5
vy = (dy / d) * (r-d) * 0.5
if circle1 not in exclude:
circle1.x -= vx
circle1.y -= vy
if circle2 not in exclude:
circle2.x += vx
circle2.y += vy
# Attractive force: all circles move to center.
for circle in circles:
if circle not in exclude:
vx = circle.x * damping
vy = circle.y * damping
circle.x -= vx
circle.y -= vy
def _distance_to_point(shape):
try:
return distance(shape.x, shape.y, point.x, point.y)
except AttributeError:
centroid = shape.bounds.centroid
return distance(centroid.x, centroid.y, point.x, point.y)
def _distance_to_point(shape):
try:
return distance(shape.x, shape.y, point.x, point.y)
except AttributeError:
centroid = shape.bounds.centroid
return distance(centroid.x, centroid.y, point.x, point.y)
def intersects(self, other):
d = distance(self.x, self.y, other.x, other.y)
return d < self.radius + other.radius
def contains(self, x, y):
return distance(self.x, self.y, x, y) <= self.radius
def _offset(self):
return distance(self.x, self.y, 0, 0)
