class ShapeRegularPolygon(Shape):
""" regular N-sided polygon """
center = Coord2Property(default=(0.0, 0.0))
radius = PositiveNumberProperty(default=1.0)
n_o_sides = IntProperty(default=8, restriction=RestrictRange(lower=3))
def __init__(self, **kwargs):
kwargs["closed"] = True
super(ShapeRegularPolygon, self).__init__(**kwargs)
def define_points(self, pts):
if self.radius == 0.0:
pts.append(self.center)
return pts
angle_step = 2 * math.pi / self.n_o_sides
for i in xrange(0, self.n_o_sides):
pts.append(
(self.center[0] +
self.radius * math.cos((i + 0.5) * angle_step + math.pi / 2),
self.center[1] +
self.radius * math.sin((i + 0.5) * angle_step + math.pi / 2)))
return pts
def move(self, position):
self.center = Coord2(self.center[0] + position[0],
self.center[1] + position[1])
return self
def is_empty(self):
return (self.radius == 0.0)
class ShapePathSpike(__ShapePathBase__):
""" simple path based on a centerline shape,but with a sharp endpoint with a given angle """
spike_angle = AngleProperty(restriction = RestrictRange(0.0, 180.0, False, True), default = 90.0)
def define_points(self, pts):
original = self.__get_original_shape_without_straight_angles__()
if len(original) <= 1: return
a = original.angles_rad()
a2 = a * 0.5
a1 = roll(a2, 1)
if original.closed:
a2[-1] = a2[0]
a1[0] = a1[-1]
else:
a2[-1] = self.end_face_angle * DEG2RAD - a2[-2]
a1[0] = self.start_face_angle * DEG2RAD - a1[1]
a_plus = a2 + a1
cos_a_min = cos(a2 - a1)
offsets = column_stack((-sin(a_plus) / cos_a_min, cos(a_plus) / cos_a_min)) * (0.5 * self.path_width)
# spikes
if not original.closed and self.spike_angle > 0 and self.spike_angle < 180.0:
L = 0.5 * self.path_width / tan(self.spike_angle * constants.DEG2RAD * 0.5)
start_spike = array([[original[0][0] - cos(a[0]) * L, original[0][1] - sin(a[0]) * L]])
end_spike = array([[original[-1][0] + cos(a[-2]) * L, original[-1][1] + sin(a[-2]) * L]])
else:
start_spike = ndarray((0, 2))
end_spike = ndarray((0, 2))
pts = vstack((start_spike, original.points + offsets, end_spike, flipud(original.points - offsets)))
return pts
class ShapeDodecagon(ShapeRegularPolygon):
""" dodecagon """
n_o_sides = IntProperty(default=12, restriction=RestrictRange(lower=3))
class ShapeHexagon(ShapeRegularPolygon):
""" hexagon """
n_o_sides = IntProperty(default=6, restriction=RestrictRange(lower=3))