|
| 1 | +""" |
| 2 | +Bug Planning |
| 3 | +author: Sarim Mehdi([email protected]) |
| 4 | +Source: https://sites.google.com/site/ece452bugalgorithms/ |
| 5 | +""" |
| 6 | + |
| 7 | +import numpy as np |
| 8 | +import matplotlib.pyplot as plt |
| 9 | + |
| 10 | +show_animation = True |
| 11 | + |
| 12 | + |
| 13 | +class BugPlanner: |
| 14 | + def __init__(self, start_x, start_y, goal_x, goal_y, obs_x, obs_y): |
| 15 | + self.goal_x = goal_x |
| 16 | + self.goal_y = goal_y |
| 17 | + self.obs_x = obs_x |
| 18 | + self.obs_y = obs_y |
| 19 | + self.r_x = [start_x] |
| 20 | + self.r_y = [start_y] |
| 21 | + self.out_x = [] |
| 22 | + self.out_y = [] |
| 23 | + for o_x, o_y in zip(obs_x, obs_y): |
| 24 | + for add_x, add_y in zip([1, 0, -1, -1, -1, 0, 1, 1], |
| 25 | + [1, 1, 1, 0, -1, -1, -1, 0]): |
| 26 | + cand_x, cand_y = o_x+add_x, o_y+add_y |
| 27 | + valid_point = True |
| 28 | + for _x, _y in zip(obs_x, obs_y): |
| 29 | + if cand_x == _x and cand_y == _y: |
| 30 | + valid_point = False |
| 31 | + break |
| 32 | + if valid_point: |
| 33 | + self.out_x.append(cand_x), self.out_y.append(cand_y) |
| 34 | + |
| 35 | + def mov_normal(self): |
| 36 | + return self.r_x[-1] + np.sign(self.goal_x - self.r_x[-1]), \ |
| 37 | + self.r_y[-1] + np.sign(self.goal_y - self.r_y[-1]) |
| 38 | + |
| 39 | + def mov_to_next_obs(self, visited_x, visited_y): |
| 40 | + for add_x, add_y in zip([1, 0, -1, 0], [0, 1, 0, -1]): |
| 41 | + c_x, c_y = self.r_x[-1] + add_x, self.r_y[-1] + add_y |
| 42 | + for _x, _y in zip(self.out_x, self.out_y): |
| 43 | + use_pt = True |
| 44 | + if c_x == _x and c_y == _y: |
| 45 | + for v_x, v_y in zip(visited_x, visited_y): |
| 46 | + if c_x == v_x and c_y == v_y: |
| 47 | + use_pt = False |
| 48 | + break |
| 49 | + if use_pt: |
| 50 | + return c_x, c_y, False |
| 51 | + if not use_pt: |
| 52 | + break |
| 53 | + return self.r_x[-1], self.r_y[-1], True |
| 54 | + |
| 55 | + def bug0(self): |
| 56 | + '''Greedy algorithm where you move towards goal |
| 57 | + until you hit an obstacle. Then you go around it |
| 58 | + (pick an arbitrary direction), until it is possible |
| 59 | + for you to start moving towards goal in a greedy manner again''' |
| 60 | + mov_dir = 'normal' |
| 61 | + cand_x, cand_y = -np.inf, -np.inf |
| 62 | + if show_animation: |
| 63 | + plt.plot(self.obs_x, self.obs_y, ".k") |
| 64 | + plt.plot(self.r_x[-1], self.r_y[-1], "og") |
| 65 | + plt.plot(self.goal_x, self.goal_y, "xb") |
| 66 | + plt.plot(self.out_x, self.out_y, ".") |
| 67 | + plt.grid(True) |
| 68 | + plt.title('BUG 0') |
| 69 | + |
| 70 | + for x_ob, y_ob in zip(self.out_x, self.out_y): |
| 71 | + if self.r_x[-1] == x_ob and self.r_y[-1] == y_ob: |
| 72 | + mov_dir = 'obs' |
| 73 | + break |
| 74 | + |
| 75 | + visited_x, visited_y = [], [] |
| 76 | + while True: |
| 77 | + if self.r_x[-1] == self.goal_x and \ |
| 78 | + self.r_y[-1] == self.goal_y: |
| 79 | + break |
| 80 | + if mov_dir == 'normal': |
| 81 | + cand_x, cand_y = self.mov_normal() |
| 82 | + if mov_dir == 'obs': |
| 83 | + cand_x, cand_y, _ = self.mov_to_next_obs(visited_x, visited_y) |
| 84 | + if mov_dir == 'normal': |
| 85 | + found_boundary = False |
| 86 | + for x_ob, y_ob in zip(self.out_x, self.out_y): |
| 87 | + if cand_x == x_ob and cand_y == y_ob: |
| 88 | + self.r_x.append(cand_x), self.r_y.append(cand_y) |
| 89 | + visited_x[:], visited_y[:] = [], [] |
| 90 | + visited_x.append(cand_x), visited_y.append(cand_y) |
| 91 | + mov_dir = 'obs' |
| 92 | + found_boundary = True |
| 93 | + break |
| 94 | + if not found_boundary: |
| 95 | + self.r_x.append(cand_x), self.r_y.append(cand_y) |
| 96 | + elif mov_dir == 'obs': |
| 97 | + can_go_normal = True |
| 98 | + for x_ob, y_ob in zip(self.obs_x, self.obs_y): |
| 99 | + if self.mov_normal()[0] == x_ob and \ |
| 100 | + self.mov_normal()[1] == y_ob: |
| 101 | + can_go_normal = False |
| 102 | + break |
| 103 | + if can_go_normal: |
| 104 | + mov_dir = 'normal' |
| 105 | + else: |
| 106 | + self.r_x.append(cand_x), self.r_y.append(cand_y) |
| 107 | + visited_x.append(cand_x), visited_y.append(cand_y) |
| 108 | + if show_animation: |
| 109 | + plt.plot(self.r_x, self.r_y, "-r") |
| 110 | + plt.pause(0.001) |
| 111 | + if show_animation: |
| 112 | + plt.show() |
| 113 | + |
| 114 | + def bug1(self): |
| 115 | + '''Move towards goal in a greedy manner. |
| 116 | + When you hit an obstacle, you go around it and |
| 117 | + back to where you hit the obstacle initially. |
| 118 | + Then, you go to the point on the obstacle that is |
| 119 | + closest to your goal and you start moving towards |
| 120 | + goal in a greedy manner from that new point.''' |
| 121 | + mov_dir = 'normal' |
| 122 | + cand_x, cand_y = -np.inf, -np.inf |
| 123 | + exit_x, exit_y = -np.inf, -np.inf |
| 124 | + dist = np.inf |
| 125 | + back_to_start = False |
| 126 | + second_round = False |
| 127 | + if show_animation: |
| 128 | + plt.plot(self.obs_x, self.obs_y, ".k") |
| 129 | + plt.plot(self.r_x[-1], self.r_y[-1], "og") |
| 130 | + plt.plot(self.goal_x, self.goal_y, "xb") |
| 131 | + plt.plot(self.out_x, self.out_y, ".") |
| 132 | + plt.grid(True) |
| 133 | + plt.title('BUG 1') |
| 134 | + |
| 135 | + for xob, yob in zip(self.out_x, self.out_y): |
| 136 | + if self.r_x[-1] == xob and self.r_y[-1] == yob: |
| 137 | + mov_dir = 'obs' |
| 138 | + break |
| 139 | + |
| 140 | + visited_x, visited_y = [], [] |
| 141 | + while True: |
| 142 | + if self.r_x[-1] == self.goal_x and \ |
| 143 | + self.r_y[-1] == self.goal_y: |
| 144 | + break |
| 145 | + if mov_dir == 'normal': |
| 146 | + cand_x, cand_y = self.mov_normal() |
| 147 | + if mov_dir == 'obs': |
| 148 | + cand_x, cand_y, back_to_start = \ |
| 149 | + self.mov_to_next_obs(visited_x, visited_y) |
| 150 | + if mov_dir == 'normal': |
| 151 | + found_boundary = False |
| 152 | + for x_ob, y_ob in zip(self.out_x, self.out_y): |
| 153 | + if cand_x == x_ob and cand_y == y_ob: |
| 154 | + self.r_x.append(cand_x), self.r_y.append(cand_y) |
| 155 | + visited_x[:], visited_y[:] = [], [] |
| 156 | + visited_x.append(cand_x), visited_y.append(cand_y) |
| 157 | + mov_dir = 'obs' |
| 158 | + dist = np.inf |
| 159 | + back_to_start = False |
| 160 | + second_round = False |
| 161 | + found_boundary = True |
| 162 | + break |
| 163 | + if not found_boundary: |
| 164 | + self.r_x.append(cand_x), self.r_y.append(cand_y) |
| 165 | + elif mov_dir == 'obs': |
| 166 | + d = np.linalg.norm(np.array([cand_x, cand_y] - |
| 167 | + np.array([self.goal_x, |
| 168 | + self.goal_y]))) |
| 169 | + if d < dist and not second_round: |
| 170 | + exit_x, exit_y = cand_x, cand_y |
| 171 | + dist = d |
| 172 | + if back_to_start and not second_round: |
| 173 | + second_round = True |
| 174 | + del self.r_x[-len(visited_x):] |
| 175 | + del self.r_y[-len(visited_y):] |
| 176 | + visited_x[:], visited_y[:] = [], [] |
| 177 | + self.r_x.append(cand_x), self.r_y.append(cand_y) |
| 178 | + visited_x.append(cand_x), visited_y.append(cand_y) |
| 179 | + if cand_x == exit_x and \ |
| 180 | + cand_y == exit_y and \ |
| 181 | + second_round: |
| 182 | + mov_dir = 'normal' |
| 183 | + if show_animation: |
| 184 | + plt.plot(self.r_x, self.r_y, "-r") |
| 185 | + plt.pause(0.001) |
| 186 | + if show_animation: |
| 187 | + plt.show() |
| 188 | + |
| 189 | + def bug2(self): |
| 190 | + '''Move towards goal in a greedy manner. |
| 191 | + When you hit an obstacle, you go around it and |
| 192 | + keep track of your distance from the goal. |
| 193 | + If the distance from your goal was decreasing before |
| 194 | + and now it starts increasing, that means the current |
| 195 | + point is probably the closest point to the |
| 196 | + goal (this may or may not be true because the algorithm |
| 197 | + doesn't explore the entire boundary around the obstacle). |
| 198 | + So, you depart from this point and continue towards the |
| 199 | + goal in a greedy manner''' |
| 200 | + mov_dir = 'normal' |
| 201 | + cand_x, cand_y = -np.inf, -np.inf |
| 202 | + if show_animation: |
| 203 | + plt.plot(self.obs_x, self.obs_y, ".k") |
| 204 | + plt.plot(self.r_x[-1], self.r_y[-1], "og") |
| 205 | + plt.plot(self.goal_x, self.goal_y, "xb") |
| 206 | + plt.plot(self.out_x, self.out_y, ".") |
| 207 | + |
| 208 | + straight_x, straight_y = [self.r_x[-1]], [self.r_y[-1]] |
| 209 | + hit_x, hit_y = [], [] |
| 210 | + while True: |
| 211 | + if straight_x[-1] == self.goal_x and \ |
| 212 | + straight_y[-1] == self.goal_y: |
| 213 | + break |
| 214 | + c_x = straight_x[-1] + np.sign(self.goal_x - straight_x[-1]) |
| 215 | + c_y = straight_y[-1] + np.sign(self.goal_y - straight_y[-1]) |
| 216 | + for x_ob, y_ob in zip(self.out_x, self.out_y): |
| 217 | + if c_x == x_ob and c_y == y_ob: |
| 218 | + hit_x.append(c_x), hit_y.append(c_y) |
| 219 | + break |
| 220 | + straight_x.append(c_x), straight_y.append(c_y) |
| 221 | + if show_animation: |
| 222 | + plt.plot(straight_x, straight_y, ",") |
| 223 | + plt.plot(hit_x, hit_y, "d") |
| 224 | + plt.grid(True) |
| 225 | + plt.title('BUG 2') |
| 226 | + |
| 227 | + for x_ob, y_ob in zip(self.out_x, self.out_y): |
| 228 | + if self.r_x[-1] == x_ob and self.r_y[-1] == y_ob: |
| 229 | + mov_dir = 'obs' |
| 230 | + break |
| 231 | + |
| 232 | + visited_x, visited_y = [], [] |
| 233 | + while True: |
| 234 | + if self.r_x[-1] == self.goal_x \ |
| 235 | + and self.r_y[-1] == self.goal_y: |
| 236 | + break |
| 237 | + if mov_dir == 'normal': |
| 238 | + cand_x, cand_y = self.mov_normal() |
| 239 | + if mov_dir == 'obs': |
| 240 | + cand_x, cand_y, _ = self.mov_to_next_obs(visited_x, visited_y) |
| 241 | + if mov_dir == 'normal': |
| 242 | + found_boundary = False |
| 243 | + for x_ob, y_ob in zip(self.out_x, self.out_y): |
| 244 | + if cand_x == x_ob and cand_y == y_ob: |
| 245 | + self.r_x.append(cand_x), self.r_y.append(cand_y) |
| 246 | + visited_x[:], visited_y[:] = [], [] |
| 247 | + visited_x.append(cand_x), visited_y.append(cand_y) |
| 248 | + del hit_x[0] |
| 249 | + del hit_y[0] |
| 250 | + mov_dir = 'obs' |
| 251 | + found_boundary = True |
| 252 | + break |
| 253 | + if not found_boundary: |
| 254 | + self.r_x.append(cand_x), self.r_y.append(cand_y) |
| 255 | + elif mov_dir == 'obs': |
| 256 | + self.r_x.append(cand_x), self.r_y.append(cand_y) |
| 257 | + visited_x.append(cand_x), visited_y.append(cand_y) |
| 258 | + for i_x, i_y in zip(range(len(hit_x)), range(len(hit_y))): |
| 259 | + if cand_x == hit_x[i_x] and cand_y == hit_y[i_y]: |
| 260 | + del hit_x[i_x] |
| 261 | + del hit_y[i_y] |
| 262 | + mov_dir = 'normal' |
| 263 | + break |
| 264 | + if show_animation: |
| 265 | + plt.plot(self.r_x, self.r_y, "-r") |
| 266 | + plt.pause(0.001) |
| 267 | + if show_animation: |
| 268 | + plt.show() |
| 269 | + |
| 270 | + |
| 271 | +def main(bug_0, bug_1, bug_2): |
| 272 | + # set obstacle positions |
| 273 | + o_x, o_y = [], [] |
| 274 | + |
| 275 | + s_x = 0.0 |
| 276 | + s_y = 0.0 |
| 277 | + g_x = 167.0 |
| 278 | + g_y = 50.0 |
| 279 | + |
| 280 | + for i in range(20, 40): |
| 281 | + for j in range(20, 40): |
| 282 | + o_x.append(i) |
| 283 | + o_y.append(j) |
| 284 | + |
| 285 | + for i in range(60, 100): |
| 286 | + for j in range(40, 80): |
| 287 | + o_x.append(i) |
| 288 | + o_y.append(j) |
| 289 | + |
| 290 | + for i in range(120, 140): |
| 291 | + for j in range(80, 100): |
| 292 | + o_x.append(i) |
| 293 | + o_y.append(j) |
| 294 | + |
| 295 | + for i in range(80, 140): |
| 296 | + for j in range(0, 20): |
| 297 | + o_x.append(i) |
| 298 | + o_y.append(j) |
| 299 | + |
| 300 | + for i in range(0, 20): |
| 301 | + for j in range(60, 100): |
| 302 | + o_x.append(i) |
| 303 | + o_y.append(j) |
| 304 | + |
| 305 | + for i in range(20, 40): |
| 306 | + for j in range(80, 100): |
| 307 | + o_x.append(i) |
| 308 | + o_y.append(j) |
| 309 | + |
| 310 | + for i in range(120, 160): |
| 311 | + for j in range(40, 60): |
| 312 | + o_x.append(i) |
| 313 | + o_y.append(j) |
| 314 | + |
| 315 | + if bug_0: |
| 316 | + my_Bug = BugPlanner(s_x, s_y, g_x, g_y, o_x, o_y) |
| 317 | + my_Bug.bug0() |
| 318 | + if bug_1: |
| 319 | + my_Bug = BugPlanner(s_x, s_y, g_x, g_y, o_x, o_y) |
| 320 | + my_Bug.bug1() |
| 321 | + if bug_2: |
| 322 | + my_Bug = BugPlanner(s_x, s_y, g_x, g_y, o_x, o_y) |
| 323 | + my_Bug.bug2() |
| 324 | + |
| 325 | + |
| 326 | +if __name__ == '__main__': |
| 327 | + main(bug_0=True, bug_1=False, bug_2=False) |
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