class ShapeEllipseArc(Shape):
""" ellipse arc around a given center """
center = Coord2Property(default=(0.0, 0.0))
box_size = Size2Property(default=(1.0, 1.0))
start_angle = AngleProperty(default=0.0)
end_angle = AngleProperty(default=90.0)
angle_step = AngleProperty(default=TECH.METRICS.ANGLE_STEP)
clockwise = BoolProperty(default=False)
def __init__(self, **kwargs):
super(ShapeEllipseArc, self).__init__(**kwargs)
def define_points(self, pts):
sa = self.start_angle * DEG2RAD
ea = self.end_angle * DEG2RAD
h_radius = self.box_size[0] / 2.0
v_radius = self.box_size[1] / 2.0
n_s = float(self.end_angle - self.start_angle) / self.angle_step
n_steps = int(math.ceil(abs(n_s))) * numpy.sign(n_s)
if n_steps == 0:
if sa == ea:
pts = numpy.array([[
math.cos(sa) * h_radius + self.center[0],
math.sin(sa) * v_radius + self.center[1]
]])
else:
pts = numpy.array([[
math.cos(sa) * h_radius + self.center[0],
math.sin(sa) * v_radius + self.center[1]
], [
math.cos(ea) * h_radius + self.center[0],
math.sin(ea) * v_radius + self.center[1]
]])
return pts
angle_step = float(ea - sa) / n_steps
if self.clockwise:
angle_step = -angle_step
sign = -1
else:
sign = +1
while sign * sa > sign * ea:
ea += sign * 2 * math.pi
angles = numpy.arange(sa, ea + 0.5 * angle_step, angle_step)
pts = numpy.column_stack(
(numpy.cos(angles), numpy.sin(angles))) * numpy.array([
(h_radius, v_radius)
]) + numpy.array([(self.center[0], self.center[1])])
return pts
def move(self, position):
self.center = (self.center.x + position[0],
self.center.y + position[1])
return self
def is_empty(self):
return self.start_angle == self.end_angle or self.box_size[0] == 0.0 or self.box_size[1] == 0.0
class ShapeRoundedRectangleArc(Shape):
center = Coord2Property(default=(0.0, 0.0))
box_size = Size2Property(default=(1.0, 1.0))
radius = PositiveNumberProperty(default=0.1)
start_angle = AngleProperty(default=0.0)
end_angle = AngleProperty(default=90.0)
angle_step = AngleProperty(default=TECH.METRICS.ANGLE_STEP)
clockwise = BoolProperty(default=False)
def __init__(self, **kwargs):
super(ShapeRoundedRectangleArc, self).__init__(**kwargs)
# restrict radius
if self.radius > min(self.box_size) / 2.0:
self.radius = min(self.box_size) / 2.0
def define_points(self, pts):
cx = self.center[0]
cy = self.center[1]
dx = 0.5 * self.box_size[0]
dy = 0.5 * self.box_size[1]
if self.clockwise:
as_sign = -1
else:
as_sign = 1
# radius = box: circle arc
if (self.radius == self.box_size[0] / 2.0) and (
self.radius == self.box_size[1] / 2.0):
pts += ShapeArc(
self.center,
self.radius,
self.start_angle,
self.end_angle,
angle_step=self.angle_step,
clockwise=self.clockwise)
# radius = zero: part of rectangle
elif self.radius <= 0:
for a in arange(self.start_angle, self.end_angle + 45.0,
as_sign * 90.0):
pts += [(cx + sign(math.cos(DEG2RAD * a)) * dx,
cy + sign(math.sin(DEG2RAD * a)) * dy)]
# arbitrary
else:
for a in numpy.arange(self.start_angle, self.end_angle + 45.0,
as_sign * 90.0):
start = max(self.start_angle,
a - a % 90.0 + 45.0 - as_sign * 45.0)
end = min(self.end_angle, a - a % 90.0 + 45.0 + as_sign * 45.0)
pts += ShapeArc(
center=(cx + numpy.sign(math.cos(DEG2RAD * a)) *
(dx - self.radius),
cy + numpy.sign(math.sin(DEG2RAD * a)) *
(dy - self.radius)),
radius=self.radius,
start_angle=start,
end_angle=end,
angle_step=self.angle_step,
clockwise=self.clockwise)
return pts
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 Shape(transformable.Transformable, StrongPropertyInitializer, MixinBowl):
'''Basic shape'''
points = PointsDefinitionProperty(fdef_name="define_points")
start_face_angle = AngleProperty(
allow_none=True,
doc=
"Use this to overrule the 'dangling' angle at the start of an open shape"
)
end_face_angle = AngleProperty(
allow_none=True,
doc=
"Use this to overrule the 'dangling' angle at the end of an open shape"
)
def __init__(self, points=[], closed=None, **kwargs):
if not (isinstance(points, Shape) and (closed is None)):
kwargs["closed"] = closed
else:
if (points.closed):
kwargs["closed"] = True
if isinstance(points, Shape):
if not "start_face_angle" in kwargs:
kwargs["start_face_angle"] = points.start_face_angle
if not "end_face_angle" in kwargs:
kwargs["end_face_angle"] = points.end_face_angle
if (points is not None):
if (isinstance(points, list) or isinstance(points, ndarray)
or isinstance(points, Shape) or isinstance(points, tuple)):
if (len(points) > 0):
kwargs["points"] = points
elif (isinstance(points, Coord2)):
kwargs["points"] = [points]
else:
try:
from dependencies.shapely_wrapper import CoordinateSequence
if (isinstance(points, CoordinateSequence)):
pl = [pt for pt in points]
kwargs["points"] = pl
else:
raise Exception()
except Exception, e:
raise IpkissException(
"Unexpected type %s for parameter 'points' in Shape::__init__"
% str(type(points)))
super(Shape, self).__init__(**kwargs)
class ShapeBend(ShapeArc):
""" bend: circular arc but specified by its starting point insetad of center """
start_point = Coord2Property(default=(0.0, 0.0))
center = DefinitionProperty(fdef_name="define_center")
start_angle = DefinitionProperty(fdef_name="define_start_angle")
end_angle = DefinitionProperty(fdef_name="define_end_angle")
input_angle = AngleProperty(default=0.0)
output_angle = AngleProperty(default=90.0)
def __init__(self, **kwargs):
super(ShapeBend, self).__init__(**kwargs)
def __get_sign(self):
if self.clockwise:
sign = -1
else:
sign = 1
return sign
def define_center(self):
sign = self.__get_sign()
c = (self.start_point[0] -
sign * self.radius * math.sin(self.input_angle * DEG2RAD),
self.start_point[1] +
sign * self.radius * math.cos(self.input_angle * DEG2RAD))
return c
def define_start_angle(self):
sign = self.__get_sign()
a = self.input_angle - sign * 90.0
return a
def define_end_angle(self):
sign = self.__get_sign()
a = self.output_angle - sign * 90.0
return a
def move(self, position):
self.start_point = Coord2(self.start_point[0] + position[0],
self.start_point[1] + position[1])
return self
class ShapeRingSegment(Shape):
""" ring segment """
center = Coord2Property(default=(0.0, 0.0))
angle_start = AngleProperty(default=0.0)
angle_end = AngleProperty(default=90.0)
inner_radius = PositiveNumberProperty(required=True)
outer_radius = PositiveNumberProperty(required=True)
angle_step = AngleProperty(default=TECH.METRICS.ANGLE_STEP)
def __init__(self, **kwargs):
kwargs["closed"] = True
super(ShapeRingSegment, self).__init__(**kwargs)
def define_points(self, pts):
arc1 = ShapeArc(
center=self.center,
radius=self.inner_radius,
start_angle=self.angle_start,
end_angle=self.angle_end,
angle_step=self.angle_step)
Shape.reverse(arc1) # do not destroy dynamism
arc2 = ShapeArc(
center=self.center,
radius=self.outer_radius,
start_angle=self.angle_start,
end_angle=self.angle_end,
angle_step=self.angle_step)
pts += arc1
pts += arc2
return pts
def move(self, position):
self.center = (self.center[0] + position[0],
self.center[1] + position[1])
return self
def is_empty(self):
return self.inner_radius == self.outer_radius or self.angle_start == self.angle_end
class ShapeRoundAdiabaticSplineGeneric(__ShapeModifier__):
""" returns a shape with adiabatic spline corners """
radii = RestrictedProperty(
restriction=RestrictList(restriction=RESTRICT_NONNEGATIVE),
required=True)
adiabatic_angles_list = RestrictedProperty(required=True)
angle_step = AngleProperty(default=TECH.METRICS.ANGLE_STEP)
def __original_shape_without_straight_angles__(self):
S1 = Shape(self.original_shape)
S = Shape(S1).remove_straight_angles()
straight = (numpy.abs(
numpy.abs((S1.turns_rad() + (0.5 * numpy.pi)) % numpy.pi) -
0.5 * numpy.pi) < 0.00001)
if not S1.closed:
straight[0] = False
straight[-1] = False
R = numpy.delete(self.radii, straight.nonzero()[0], 0)
A = numpy.delete(self.adiabatic_angles_list, straight.nonzero()[0], 0)
return (S, R, A)
def define_points(self, pts):
(s, R, A) = self.__original_shape_without_straight_angles__()
if len(R) != len(s):
raise AttributeError(
"ShapeRoundAdiabaticSplineGeneric: length of radius vector should be identical to that of points in shape"
)
if len(A) != len(s):
raise AttributeError(
"ShapeRoundAdiabaticSplineGeneric: length of adiabatic_angles vector should be identical to that of points in shape"
)
if len(s) < 3:
self.__points__ = s.points
return
margin = 0.5 / get_grids_per_unit()
S = []
if not self.original_shape.closed:
S.append(numpy.array([s.points[0]]))
L1 = 0.0
for i in range(1, len(s) - 1):
sh = AdiabaticSplineCircleSplineShape(start_point=s[i - 1],
turn_point=s[i],
end_point=s[i + 1],
radius=R[i],
adiabatic_angles=A[i],
angle_step=self.angle_step)
L0 = sh[0].distance(s[i])
if L0 + L1 - margin > s[i - 1].distance(s[i]):
LOG.warning(
"Insufficient space for spline rounding in (%f, %f)" %
(s[i].x, s[i].y))
L1 = sh[-1].distance(s[i])
S.append(sh.points)
if self.original_shape.closed:
sh = AdiabaticSplineCircleSplineShape(start_point=s[-2],
turn_point=s[-1],
end_point=s[0],
radius=R[-1],
adiabatic_angles=A[-1],
angle_step=self.angle_step)
L0 = sh[0].distance(s[-1])
if L0 + L1 - margin > s[-2].distance(s[-1]):
LOG.warning(
"Insufficient space for spline rounding in (%f, %f)" %
(s[-1].x, s[-1].y))
L1 = sh[-1].distance(s[-1])
S.append(sh.points)
sh = AdiabaticSplineCircleSplineShape(start_point=s[-1],
turn_point=s[0],
end_point=s[1],
radius=R[0],
adiabatic_angles=A[0],
angle_step=self.angle_step)
L0 = sh[0].distance(s[0])
if L0 + L1 - margin > s[-1].distance(s[0]):
LOG.warning(
"Insufficient space for spline rounding in (%f, %f)" %
(s[0].x, s[0].y))
L1 = sh[-1].distance(s[0])
S.append(sh.points)
self.__closed__ = True
else:
# open curve
S.append(numpy.array([s.points[-1]]))
L0 = 0.0
if L0 + L1 - margin > s[-2].distance(s[-1]):
LOG.warning(
"Insufficient space for spline rounding in (%f, %f)" %
(s[-1].x, s[-1].y))
L1 = sh[-1].distance(s[0])
self.__closed__ = False
return numpy.vstack(S)
class ShapeArcLineArc(Shape):
coord_start = Coord2Property(required=True)
angle_start = AngleProperty(required=True)
radius_start = PositiveNumberProperty(required=True)
coord_end = Coord2Property(required=True)
angle_end = AngleProperty(required=True)
radius_end = PositiveNumberProperty(required=True)
angle_step = AngleProperty(default=TECH.METRICS.ANGLE_STEP)
def __init__(self, coord_start, angle_start, radius_start, coord_end,
angle_end, radius_end, **kwargs):
super(ShapeArcLineArc, self).__init__(coord_start=coord_start,
coord_end=coord_end,
angle_start=angle_start,
angle_end=angle_end,
radius_start=radius_start,
radius_end=radius_end,
**kwargs)
def define_points(self, pts):
sa = self.angle_start * DEG2RAD
ea = self.angle_end * DEG2RAD
bae = (ea + pi) % (2 * pi)
# normalize angles between 0 and 2pi
sa = (sa) % (2 * pi)
ea = (ea) % (2 * pi)
#angle bvetween two points
connect_angle = angle_rad(self.coord_end, self.coord_start)
ca_start = (connect_angle - sa) % (2 * pi)
ca_end = (connect_angle - ea) % (2 * pi)
#LOG.debug("ca: %f %f %f" %(, connect_angle , ca_start, ca_end))
#check both positive and negative radii
valid = False
signs = [(1, 1), (1, -1), (-1, 1), (-1, -1)]
for s in signs:
radius_start = abs(self.radius_start) * s[0]
radius_end = abs(self.radius_end) * s[1]
# Centers of circles through the points.
c_start = (self.coord_start[0] + radius_start * sin(sa),
self.coord_start[1] - radius_start * cos(sa))
c_end = (self.coord_end[0] + radius_end * sin(ea),
self.coord_end[1] - radius_end * cos(ea))
#distance between centers
dm = distance(c_start, c_end)
if abs(radius_start - radius_end) > dm:
# no valid solution possible
continue
# unit vector between circle centers
mm = ((c_end[0] - c_start[0]) / dm, (c_end[1] - c_start[1]) / dm)
# angle between normal to connector line and circle centers
alpha = -acos((radius_start - radius_end) / dm)
# unit vector from m to p.
mp = (mm[0] * cos(alpha) + mm[1] * sin(alpha),
-mm[0] * sin(alpha) + mm[1] * cos(alpha))
# Point at first circle.
p0 = (c_start[0] + radius_start * mp[0],
c_start[1] + radius_start * mp[1])
# Point at second circle.
p1 = (c_end[0] + radius_end * mp[0], c_end[1] + radius_end * mp[1])
#LOG.debug("p0, p1:" %( p0, p1))
forward_angle = angle_rad(p1, p0) % (2 * pi)
backward_angle = angle_rad(p0, p1) % (2 * pi)
forward_turn = (forward_angle - sa + pi) % (2 * pi) - pi
backward_turn = (backward_angle - bae + pi) % (2 * pi) - pi
# LOG.debug("F: %f B:%f %f %f" % (s[0], s[1], forward_turn, backward_turn))
if (forward_turn * s[0] <= 0) and (backward_turn * s[1] >= 0):
valid = True
break
if not valid:
LOG.error("Can't connect two points with arc_line_arc")
raise SystemExit
#LOG.debug("angles: %f %f %f %f" %( angle_start, straight_angle*180/pi, angle_end, backward_angle*180/pi))
if forward_turn == 0.0:
pts += [self.coord_start]
else:
pts += ShapeBendRelative(self.coord_start,
abs(radius_start),
sa * RAD2DEG,
forward_turn * RAD2DEG,
angle_step=self.angle_step)
if backward_turn == 0.0:
pts += [self.coord_end]
else:
bend2 = ShapeBendRelative(self.coord_end,
abs(radius_end),
bae * RAD2DEG,
backward_turn * RAD2DEG,
angle_step=self.angle_step)
bend2.reverse()
pts += bend2
return pts
def move(self, position):
self.coord_start = (self.coord_start[0] + position[0],
self.coord_start[1] + position[1])
self.coord_end = (self.coord_end[0] + position[0],
self.coord_end[1] + position[1])
return self
class ShapeRoundedRectangle(Shape):
""" rectangle with rounded corners """
center = Coord2Property(default=(0.0, 0.0))
box_size = Size2Property(default=(1.0, 1.0))
radius = NonNegativeNumberProperty(default=1.0)
angle_step = AngleProperty(default=TECH.METRICS.ANGLE_STEP)
def __init__(self, **kwargs):
kwargs["closed"] = True
super(ShapeRoundedRectangle, self).__init__(**kwargs)
def define_points(self, pts):
cx = self.center[0]
cy = self.center[1]
dx = 0.5 * self.box_size[0]
dy = 0.5 * self.box_size[1]
if self.radius <= 0:
pts += [(cx + dx, cy + dy), (cx - dx, cy + dy), (cx - dx, cy - dy),
(cx + dx, cy - dy), (cx + dx, cy + dy)]
else:
if self.radius > min(self.box_size) / 2.0:
self.radius = min(self.box_size) / 2.0
if (self.radius == self.box_size[0] /
2.0) and (self.radius == self.box_size[1] / 2.0):
pts += ShapeCircle(center=self.center,
radius=self.radius,
angle_step=self.angle_step)
elif self.radius == self.box_size[0] / 2.0:
pts += ShapeArc(center=(cx, cy + dy - self.radius),
radius=self.radius,
start_angle=0.0,
end_angle=180.0,
angle_step=self.angle_step)
pts += ShapeArc(center=(cx, cy - dy + self.radius),
radius=self.radius,
start_angle=180.0,
end_angle=360.0,
angle_step=self.angle_step)
elif self.radius == self.box_size[1] / 2.0:
pts += ShapeArc(center=(cx + dx - self.radius, cy),
radius=self.radius,
start_angle=270,
end_angle=450.0,
angle_step=self.angle_step)
pts += ShapeArc(center=(cx - dx + self.radius, cy),
radius=self.radius,
start_angle=90.0,
end_angle=270.0,
angle_step=self.angle_step)
else:
pts += ShapeArc(center=(cx + dx - self.radius,
cy + dy - self.radius),
radius=self.radius,
start_angle=0.0,
end_angle=90.0,
angle_step=self.angle_step)
pts += ShapeArc(center=(cx - dx + self.radius,
cy + dy - self.radius),
radius=self.radius,
start_angle=90.0,
end_angle=180.0,
angle_step=self.angle_step)
pts += ShapeArc(center=(cx - dx + self.radius,
cy - dy + self.radius),
radius=self.radius,
start_angle=180.0,
end_angle=270.0,
angle_step=self.angle_step)
pts += ShapeArc(center=(cx + dx - self.radius,
cy - dy + self.radius),
radius=self.radius,
start_angle=270.0,
end_angle=360.0,
angle_step=self.angle_step)
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.box_size[0] == 0.0 or self.box_size[1] == 0.0
