|
| 1 | +""" |
| 2 | +
|
| 3 | +Path planning Sample Code with Randomized Rapidly-Exploring Random Trees (RRT) |
| 4 | +
|
| 5 | +author: AtsushiSakai(@Atsushi_twi) |
| 6 | +
|
| 7 | +""" |
| 8 | + |
| 9 | +import math |
| 10 | +import random |
| 11 | + |
| 12 | +import matplotlib.pyplot as plt |
| 13 | + |
| 14 | +show_animation = True |
| 15 | + |
| 16 | + |
| 17 | +class RRT: |
| 18 | + """ |
| 19 | + Class for RRT planning |
| 20 | + """ |
| 21 | + |
| 22 | + class Node(): |
| 23 | + """ |
| 24 | + RRT Node |
| 25 | + """ |
| 26 | + |
| 27 | + def __init__(self, x, y): |
| 28 | + self.x = x |
| 29 | + self.y = y |
| 30 | + self.parent = None |
| 31 | + |
| 32 | + def __init__(self, start, goal, obstacle_list, |
| 33 | + rand_area, expand_dis=1.0, goal_sample_rate=5, max_iter=500): |
| 34 | + """ |
| 35 | + Setting Parameter |
| 36 | +
|
| 37 | + start:Start Position [x,y] |
| 38 | + goal:Goal Position [x,y] |
| 39 | + obstacleList:obstacle Positions [[x,y,size],...] |
| 40 | + randArea:Ramdom Samping Area [min,max] |
| 41 | +
|
| 42 | + """ |
| 43 | + self.start = self.Node(start[0], start[1]) |
| 44 | + self.end = self.Node(goal[0], goal[1]) |
| 45 | + self.min_rand = rand_area[0] |
| 46 | + self.max_rand = rand_area[1] |
| 47 | + self.expand_dis = expand_dis |
| 48 | + self.goal_sample_rate = goal_sample_rate |
| 49 | + self.max_iter = max_iter |
| 50 | + self.obstacleList = obstacle_list |
| 51 | + self.node_list = [] |
| 52 | + |
| 53 | + def planning(self, animation=True): |
| 54 | + """ |
| 55 | + rrt path planning |
| 56 | +
|
| 57 | + animation: flag for animation on or off |
| 58 | + """ |
| 59 | + |
| 60 | + self.node_list = [self.start] |
| 61 | + for i in range(self.max_iter): |
| 62 | + rnd = self.get_random_point() |
| 63 | + nearest_ind = self.get_nearest_list_index(self.node_list, rnd) |
| 64 | + nearest_node = self.node_list[nearest_ind] |
| 65 | + |
| 66 | + new_node = self.steer(rnd, nearest_node) |
| 67 | + new_node.parent = nearest_node |
| 68 | + |
| 69 | + if not self.check_collision(new_node, self.obstacleList): |
| 70 | + continue |
| 71 | + |
| 72 | + self.node_list.append(new_node) |
| 73 | + print("nNodelist:", len(self.node_list)) |
| 74 | + |
| 75 | + # check goal |
| 76 | + if self.calc_dist_to_goal(new_node.x, new_node.y) <= self.expand_dis: |
| 77 | + print("Goal!!") |
| 78 | + return self.generate_final_course(len(self.node_list) - 1) |
| 79 | + |
| 80 | + if animation and i % 5: |
| 81 | + self.draw_graph(rnd) |
| 82 | + |
| 83 | + return None # cannot find path |
| 84 | + |
| 85 | + def steer(self, rnd, nearest_node): |
| 86 | + new_node = self.Node(rnd[0], rnd[1]) |
| 87 | + d, theta = self.calc_distance_and_angle(nearest_node, new_node) |
| 88 | + if d > self.expand_dis: |
| 89 | + new_node.x = nearest_node.x + self.expand_dis * math.cos(theta) |
| 90 | + new_node.y = nearest_node.y + self.expand_dis * math.sin(theta) |
| 91 | + |
| 92 | + return new_node |
| 93 | + |
| 94 | + def generate_final_course(self, goal_ind): |
| 95 | + path = [[self.end.x, self.end.y]] |
| 96 | + node = self.node_list[goal_ind] |
| 97 | + while node.parent is not None: |
| 98 | + path.append([node.x, node.y]) |
| 99 | + node = node.parent |
| 100 | + path.append([node.x, node.y]) |
| 101 | + |
| 102 | + return path |
| 103 | + |
| 104 | + def calc_dist_to_goal(self, x, y): |
| 105 | + dx = x - self.end.x |
| 106 | + dy = y - self.end.y |
| 107 | + return math.sqrt(dx ** 2 + dy ** 2) |
| 108 | + |
| 109 | + def get_random_point(self): |
| 110 | + if random.randint(0, 100) > self.goal_sample_rate: |
| 111 | + rnd = [random.uniform(self.min_rand, self.max_rand), |
| 112 | + random.uniform(self.min_rand, self.max_rand)] |
| 113 | + else: # goal point sampling |
| 114 | + rnd = [self.end.x, self.end.y] |
| 115 | + return rnd |
| 116 | + |
| 117 | + def draw_graph(self, rnd=None): |
| 118 | + plt.clf() |
| 119 | + if rnd is not None: |
| 120 | + plt.plot(rnd[0], rnd[1], "^k") |
| 121 | + for node in self.node_list: |
| 122 | + if node.parent: |
| 123 | + plt.plot([node.x, node.parent.x], |
| 124 | + [node.y, node.parent.y], |
| 125 | + "-g") |
| 126 | + |
| 127 | + for (ox, oy, size) in self.obstacleList: |
| 128 | + plt.plot(ox, oy, "ok", ms=30 * size) |
| 129 | + |
| 130 | + plt.plot(self.start.x, self.start.y, "xr") |
| 131 | + plt.plot(self.end.x, self.end.y, "xr") |
| 132 | + plt.axis([-2, 15, -2, 15]) |
| 133 | + plt.grid(True) |
| 134 | + plt.pause(0.01) |
| 135 | + |
| 136 | + @staticmethod |
| 137 | + def get_nearest_list_index(node_list, rnd): |
| 138 | + dlist = [(node.x - rnd[0]) ** 2 + (node.y - rnd[1]) |
| 139 | + ** 2 for node in node_list] |
| 140 | + minind = dlist.index(min(dlist)) |
| 141 | + |
| 142 | + return minind |
| 143 | + |
| 144 | + @staticmethod |
| 145 | + def check_collision(node, obstacleList): |
| 146 | + for (ox, oy, size) in obstacleList: |
| 147 | + dx = ox - node.x |
| 148 | + dy = oy - node.y |
| 149 | + d = dx * dx + dy * dy |
| 150 | + if d <= size ** 2: |
| 151 | + return False # collision |
| 152 | + |
| 153 | + return True # safe |
| 154 | + |
| 155 | + @staticmethod |
| 156 | + def calc_distance_and_angle(from_node, to_node): |
| 157 | + dx = to_node.x - from_node.x |
| 158 | + dy = to_node.y - from_node.y |
| 159 | + d = math.sqrt(dx ** 2 + dy ** 2) |
| 160 | + theta = math.atan2(dy, dx) |
| 161 | + return d, theta |
| 162 | + |
| 163 | + |
| 164 | +def main(gx=5.0, gy=10.0): |
| 165 | + print("start " + __file__) |
| 166 | + |
| 167 | + # ====Search Path with RRT==== |
| 168 | + obstacleList = [ |
| 169 | + (5, 5, 1), |
| 170 | + (3, 6, 2), |
| 171 | + (3, 8, 2), |
| 172 | + (3, 10, 2), |
| 173 | + (7, 5, 2), |
| 174 | + (9, 5, 2) |
| 175 | + ] # [x,y,size] |
| 176 | + # Set Initial parameters |
| 177 | + rrt = RRT(start=[0, 0], |
| 178 | + goal=[gx, gy], |
| 179 | + rand_area=[-2, 15], |
| 180 | + obstacle_list=obstacleList) |
| 181 | + path = rrt.planning(animation=show_animation) |
| 182 | + |
| 183 | + if path is None: |
| 184 | + print("Cannot find path") |
| 185 | + else: |
| 186 | + print("found path!!") |
| 187 | + |
| 188 | + # Draw final path |
| 189 | + if show_animation: |
| 190 | + rrt.draw_graph() |
| 191 | + plt.plot([x for (x, y) in path], [y for (x, y) in path], '-r') |
| 192 | + plt.grid(True) |
| 193 | + plt.pause(0.01) # Need for Mac |
| 194 | + plt.show() |
| 195 | + |
| 196 | + |
| 197 | +if __name__ == '__main__': |
| 198 | + main() |
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