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"""
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utils for collision check
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@author: huiming zhou
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"""
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import math
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import numpy as np
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import os
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import sys
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sys.path.append(os.path.dirname(os.path.abspath(__file__)) +
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"/../../Sampling_based_Planning/")
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from Sampling_based_Planning.rrt_2D import env
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from Sampling_based_Planning.rrt_2D.rrt import Node
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class Utils:
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def __init__(self):
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self.env = env.Env()
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self.delta = 0.5
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self.obs_circle = self.env.obs_circle
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self.obs_rectangle = self.env.obs_rectangle
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self.obs_boundary = self.env.obs_boundary
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def update_obs(self, obs_cir, obs_bound, obs_rec):
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self.obs_circle = obs_cir
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self.obs_boundary = obs_bound
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self.obs_rectangle = obs_rec
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def get_obs_vertex(self):
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delta = self.delta
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obs_list = []
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for (ox, oy, w, h) in self.obs_rectangle:
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vertex_list = [[ox - delta, oy - delta],
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[ox + w + delta, oy - delta],
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[ox + w + delta, oy + h + delta],
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[ox - delta, oy + h + delta]]
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obs_list.append(vertex_list)
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return obs_list
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def is_intersect_rec(self, start, end, o, d, a, b):
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v1 = [o[0] - a[0], o[1] - a[1]]
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v2 = [b[0] - a[0], b[1] - a[1]]
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v3 = [-d[1], d[0]]
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div = np.dot(v2, v3)
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if div == 0:
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return False
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t1 = np.linalg.norm(np.cross(v2, v1)) / div
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t2 = np.dot(v1, v3) / div
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if t1 >= 0 and 0 <= t2 <= 1:
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shot = Node((o[0] + t1 * d[0], o[1] + t1 * d[1]))
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dist_obs = self.get_dist(start, shot)
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dist_seg = self.get_dist(start, end)
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if dist_obs <= dist_seg:
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return True
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return False
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def is_intersect_circle(self, o, d, a, r):
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d2 = np.dot(d, d)
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delta = self.delta
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if d2 == 0:
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return False
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t = np.dot([a[0] - o[0], a[1] - o[1]], d) / d2
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if 0 <= t <= 1:
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shot = Node((o[0] + t * d[0], o[1] + t * d[1]))
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if self.get_dist(shot, Node(a)) <= r + delta:
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return True
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return False
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def is_collision(self, start, end):
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if self.is_inside_obs(start) or self.is_inside_obs(end):
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return True
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o, d = self.get_ray(start, end)
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obs_vertex = self.get_obs_vertex()
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for (v1, v2, v3, v4) in obs_vertex:
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if self.is_intersect_rec(start, end, o, d, v1, v2):
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return True
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if self.is_intersect_rec(start, end, o, d, v2, v3):
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return True
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if self.is_intersect_rec(start, end, o, d, v3, v4):
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return True
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if self.is_intersect_rec(start, end, o, d, v4, v1):
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return True
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for (x, y, r) in self.obs_circle:
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if self.is_intersect_circle(o, d, [x, y], r):
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return True
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return False
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def is_inside_obs(self, node):
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delta = self.delta
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for (x, y, r) in self.obs_circle:
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if math.hypot(node.x - x, node.y - y) <= r + delta:
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return True
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for (x, y, w, h) in self.obs_rectangle:
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if 0 <= node.x - (x - delta) <= w + 2 * delta \
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and 0 <= node.y - (y - delta) <= h + 2 * delta:
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return True
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for (x, y, w, h) in self.obs_boundary:
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if 0 <= node.x - (x - delta) <= w + 2 * delta \
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and 0 <= node.y - (y - delta) <= h + 2 * delta:
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return True
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return False
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@staticmethod
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def get_ray(start, end):
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orig = [start.x, start.y]
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direc = [end.x - start.x, end.y - start.y]
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return orig, direc
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@staticmethod
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def get_dist(start, end):
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return math.hypot(end.x - start.x, end.y - start.y)
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