def Colinear(A, B, C):
line = instantiators['line'](A, C)
eq = Equals(
LengthOf(line),
distance_between_points(line.a, B) +
distance_between_points(line.b, B))
return eq
def _get_circle_dict(diagram_parse):
"""
A dictionary of dictionaries, where key of the top dictionary is center point.
The bottom dictionary contains radii (if multiple circles exist with the same center).
:param diagram_parse:
:return:
"""
# FIXME : this needs to be changed
eps = CIRCLE_EPS
assert isinstance(diagram_parse, CoreParse)
circle_dict = {}
for point_key, point in diagram_parse.intersection_points.iteritems():
d = {}
radius_key = 0
for circle in diagram_parse.primitive_parse.circles.values():
if distance_between_points(point, circle.center) <= eps:
points = {}
for key in diagram_parse.intersection_points:
point = diagram_parse.intersection_points[key]
if distance_between_circle_and_point(circle, point) <= eps:
points[key] = point
d[radius_key] = {'instance': circle, 'points': points}
radius_key += 1
if len(d) > 0:
circle_dict[point_key] = d
return circle_dict
def label_distance_to_line(label_point, line, is_length):
"""
minimum distance among:
end points, mid point.
:param point:
:param line:
:return:
"""
mp = midpoint(line.a, line.b)
distance = distance_between_points(label_point, mp)
if is_length:
return distance
l = 1.0/line_length(line) # To favor longer line if matching near the points
return min(distance,
distance_between_points(label_point, line.a) + l,
distance_between_points(label_point, line.b) + l)
def Isosceles(triangle):
sides = [
distance_between_points(triangle[index - 1], point)
for index, point in enumerate(triangle)
]
combs = itertools.combinations(sides, 2)
out = reduce(operator.__or__, (Equals(a, b) for a, b in combs), False)
return out
def label_distance_to_line(label_point, line, is_length):
"""
minimum distance among:
end points, mid point.
:param point:
:param line:
:return:
"""
mp = midpoint(line.a, line.b)
distance = distance_between_points(label_point, mp)
if is_length:
return distance
l = 1.0 / line_length(
line) # To favor longer line if matching near the points
return min(distance,
distance_between_points(label_point, line.a) + l,
distance_between_points(label_point, line.b) + l)
def IsCenterOf(point, twod):
name = twod.__class__.__name__
if name == 'circle':
return Equals(point[0], twod.center[0]) & Equals(
point[1], twod.center[1])
elif issubtype(name, 'polygon'):
distances = [distance_between_points(point, each) for each in twod]
reg = IsRegular(twod)
out = reduce(operator.__and__,
(Equals(distances[index - 1], distance)
for index, distance in enumerate(distances)), True)
return reg & out
else:
raise Exception()
def _get_circles(primitive_parse, intersection_points):
"""
A dictionary of dictionaries, where key of the top dictionary is center point.
The bottom dictionary contains radii (if multiple circles exist with the same center).
:param core_parse:
:return:
"""
eps = params.CIRCLE_EPS
circle_dict = {}
for point_key, point in intersection_points.iteritems():
d = {}
radius_key = 0
for circle in primitive_parse.circles.values():
if distance_between_points(point, circle.center) <= eps:
d[radius_key] = circle
radius_key += 1
if len(d) > 0:
circle_dict[point_key] = d
return circle_dict
def _get_circles(primitive_parse, intersection_points):
"""
A dictionary of dictionaries, where key of the top dictionary is center point.
The bottom dictionary contains radii (if multiple circles exist with the same center).
:param core_parse:
:return:
"""
eps = params.CIRCLE_EPS
circle_dict = {}
for point_key, point in intersection_points.iteritems():
d = {}
radius_key = 0
for circle in primitive_parse.circles.values():
if distance_between_points(point, circle.center) <= eps:
d[radius_key] = circle
radius_key += 1
if len(d) > 0:
circle_dict[point_key] = d
return circle_dict
def label_distance_to_angle(label_point, angle):
"""
If outside of the convex area, then distance is very high.
:param point:
:param angle:
:return:
"""
caa = cartesian_angle(angle.b, angle.a)
cam = cartesian_angle(angle.b, label_point)
cac = cartesian_angle(angle.b, angle.c)
dm = signed_distance_between_cartesian_angles(cam, caa)
dc = signed_distance_between_cartesian_angles(cac, caa)
cav = caa + dc/2.0
if cav > 2*np.pi:
cav -= 2*np.pi
cad = min(signed_distance_between_cartesian_angles(cam, cav), signed_distance_between_cartesian_angles(cav, cam))
dist = distance_between_points(label_point, angle.b)
if dc > dm:
return dist*(1+cad+dc)
else:
return 100*dist # effectively infinite
def label_distance_to_angle(label_point, angle):
"""
If outside of the convex area, then distance is very high.
:param point:
:param angle:
:return:
"""
caa = cartesian_angle(angle.b, angle.a)
cam = cartesian_angle(angle.b, label_point)
cac = cartesian_angle(angle.b, angle.c)
dm = signed_distance_between_cartesian_angles(cam, caa)
dc = signed_distance_between_cartesian_angles(cac, caa)
cav = caa + dc / 2.0
if cav > 2 * np.pi:
cav -= 2 * np.pi
cad = min(signed_distance_between_cartesian_angles(cam, cav),
signed_distance_between_cartesian_angles(cav, cam))
dist = distance_between_points(label_point, angle.b)
if dc > dm:
return dist * (1 + cad + dc)
else:
return 100 * dist # effectively infinite
def _get_radius(center, points):
return max(distance_between_points(center, point) for point in points)
def label_distance_to_arc(label_point, arc):
return distance_between_points(label_point, arc_midpoint(arc))
def PointLiesOnCircle(point, circle):
d = distance_between_points(point, circle.center)
return Equals(d, circle.radius)
def PointLiesOnLine(point, line):
return Colinear(line.a, point, line.b) + Equals(
LengthOf(line),
distance_between_points(line.a, point) +
distance_between_points(line.b, point))
def _distance_to_closest_point(point, points):
return min(distance_between_points(point, p) for p in points)
def label_distance_to_point(label_point, point):
return distance_between_points(label_point, point)
def label_distance_to_point(label_point, point):
return distance_between_points(label_point, point)
def label_distance_to_arc(label_point, arc):
return distance_between_points(label_point, arc_midpoint(arc))
def PointLiesOnLine(point, line):
return Colinear(line.a, point, line.b) + Equals(LengthOf(line), distance_between_points(line.a, point) + distance_between_points(line.b, point))
def IsRectLengthOf(number, quad):
l1 = distance_between_points(quad[0], quad[1])
l2 = distance_between_points(quad[1], quad[2])
return Equals(l1, number) | Equals(l2, number)
def _get_radius(center, points):
return max(distance_between_points(center, point) for point in points)
def _distance_to_closest_point(point, points):
return min(distance_between_points(point, p) for p in points)
def PointLiesOnCircle(point, circle):
d = distance_between_points(point, circle.center)
return Equals(d, circle.radius)