From 459a346f2b60b13dc7c4739b40a98b9341d54640 Mon Sep 17 00:00:00 2001 From: zhm-real Date: Mon, 10 Aug 2020 17:34:39 -0700 Subject: [PATCH] update LPA* --- Search_based_Planning/Search_2D/LPAstar.py | 42 +++++++++++++++++---- Search_based_Planning/gif/ARA_star.gif | Bin 190362 -> 189343 bytes Search_based_Planning/gif/LPAstar.gif | Bin 280719 -> 401346 bytes 3 files changed, 34 insertions(+), 8 deletions(-) diff --git a/Search_based_Planning/Search_2D/LPAstar.py b/Search_based_Planning/Search_2D/LPAstar.py index 200e820..22e56df 100644 --- a/Search_based_Planning/Search_2D/LPAstar.py +++ b/Search_based_Planning/Search_2D/LPAstar.py @@ -11,11 +11,10 @@ import matplotlib.pyplot as plt sys.path.append(os.path.dirname(os.path.abspath(__file__)) + "/../../Search_based_Planning/") -from Search_2D import plotting -from Search_2D import env +from Search_based_Planning.Search_2D import plotting, env -class LpaStar: +class LPAStar: def __init__(self, s_start, s_goal, heuristic_type): self.s_start, self.s_goal = s_start, s_goal self.heuristic_type = heuristic_type @@ -58,20 +57,25 @@ class LpaStar: else: x, y = int(x), int(y) print("Change position: s =", x, ",", "y =", y) + self.visited = set() self.count += 1 + if (x, y) not in self.obs: self.obs.add((x, y)) - plt.plot(x, y, 'sk') else: self.obs.remove((x, y)) - plt.plot(x, y, marker='s', color='white') self.UpdateVertex((x, y)) + self.Plot.update_obs(self.obs) + for s_n in self.get_neighbor((x, y)): self.UpdateVertex(s_n) self.ComputeShortestPath() + + plt.cla() + self.Plot.plot_grid("Lifelong Planning A*") self.plot_visited(self.visited) self.plot_path(self.extract_path()) self.fig.canvas.draw_idle() @@ -83,25 +87,45 @@ class LpaStar: if v >= self.CalculateKey(self.s_goal) and \ self.rhs[self.s_goal] == self.g[self.s_goal]: break + self.U.pop(s) self.visited.add(s) - if self.g[s] > self.rhs[s]: # over-consistent: deleted obstacles + if self.g[s] > self.rhs[s]: + + # Condition: over-consistent (eg: deleted obstacles) + # So, rhs[s] decreased -- > rhs[s] < g[s] self.g[s] = self.rhs[s] - else: # under-consistent: added obstacles + else: + + # Condition: # under-consistent (eg: added obstacles) + # So, rhs[s] increased --> rhs[s] > g[s] self.g[s] = float("inf") self.UpdateVertex(s) + for s_n in self.get_neighbor(s): self.UpdateVertex(s_n) def UpdateVertex(self, s): + """ + update the status and the current cost to come of state s. + :param s: state s + """ + if s != self.s_start: + + # Condition: cost of parent of s changed + # Since we do not record the children of a state, we need to enumerate its neighbors self.rhs[s] = min(self.g[s_n] + self.cost(s_n, s) for s_n in self.get_neighbor(s)) + if s in self.U: self.U.pop(s) if self.g[s] != self.rhs[s]: + + # Condition: current cost to come is different to that of last time + # state s should be added into OPEN set (set U) self.U[s] = self.CalculateKey(s) def TopKey(self): @@ -110,9 +134,11 @@ class LpaStar: """ s = min(self.U, key=self.U.get) + return s, self.U[s] def CalculateKey(self, s): + return [min(self.g[s], self.rhs[s]) + self.h(s), min(self.g[s], self.rhs[s])] @@ -222,7 +248,7 @@ def main(): x_start = (5, 5) x_goal = (45, 25) - lpastar = LpaStar(x_start, x_goal, "Euclidean") + lpastar = LPAStar(x_start, x_goal, "Euclidean") lpastar.run() diff --git a/Search_based_Planning/gif/ARA_star.gif b/Search_based_Planning/gif/ARA_star.gif index cf60854cc74bcd55db304c097dddefc3ca84916d..a8492a679e77e66d781cf37e70f05ccabfad5f8c 100644 GIT binary patch delta 66646 zcmYhic{tQx`0zjbjF~aUKK8L>U&fN1X6(Bm3Zbz}%7jWKvlvTAk|arEC)*@SWtl;d z5T%mPkfLl;sU-RQ`hCCG^IXsCk8|#Gu5+&U`<(0CXT9&z=crqQr~)IJL5zWcuYrM? z!T$?^Krl2kH2NP*OiWBoP0h^A&CQ9XrZHw_g*G-P9UT0eo!$Q7;o(6hlYM-A_V3^C z@9%%`;K4(O4uyt>QYe)0@bHL;h^VNj*x1Z)|J`1cI+$zkd7n?O*u6!sh1YkN@H4|L}k1{}q1y`t|$& zLGk~lx3{pqUa62!^&Cg`}CpB3){z)r z0461IE8aW5B{5(!ek?v$qUpQ?LLMV!;-SLY0S+oFh<>w!VyMK&MBj0`Jh zlDkyw*FK~LeWEI>rGZjL%Z5c|IbPbUNpQH-j|bW#+oR*)<@*N;KxpU9sZ0?wq!UJvE-FT2BOGNqvS;46al2 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