From 20cb3794a7d53d0f4e6098116782b8c1d1a3ecb9 Mon Sep 17 00:00:00 2001 From: Atsushi Sakai Date: Sat, 23 Dec 2017 15:14:13 -0800 Subject: [PATCH] first release --- .gitmodules | 6 - .../ProbabilisticRoadMap/animation.gif | Bin 0 -> 6776710 bytes .../probabilistic_road_map.py | 150 +++++++++++++----- 3 files changed, 112 insertions(+), 44 deletions(-) create mode 100644 PathPlanning/ProbabilisticRoadMap/animation.gif diff --git a/.gitmodules b/.gitmodules index 51d5b036..f91241a1 100644 --- a/.gitmodules +++ b/.gitmodules @@ -28,9 +28,3 @@ [submodule "PathPlanning/DynamicWindowApproach/matplotrecorder"] path = PathPlanning/DynamicWindowApproach/matplotrecorder url = https://github.com/AtsushiSakai/matplotrecorder -[submodule "PathPlanning/ProbablisticRoadMap/matplotrecorder"] - path = PathPlanning/ProbablisticRoadMap/matplotrecorder - url = https://github.com/AtsushiSakai/matplotrecorder -[submodule "PathPlanning/ProbablisticRoadMap/pyfastnns"] - path = PathPlanning/ProbablisticRoadMap/pyfastnns - url = https://github.com/AtsushiSakai/pyfastnns diff --git a/PathPlanning/ProbabilisticRoadMap/animation.gif b/PathPlanning/ProbabilisticRoadMap/animation.gif new file mode 100644 index 0000000000000000000000000000000000000000..68e9d926b2217956732cce38e827b75b86b66cb0 GIT binary patch literal 6776710 zcmb4~^-~+p*S3Qv!QE+aDA3{##kJ5BC|=y%N^pXO;O-XO-Q68pin|wY3$#UBcs}2G z|AP1YxHD&G_MF|Bd+xoCvZ|7(m^mDM7wrZBKtn^r!^0ybC8eREVPaz9=H?a>5|WaV z@|4DZC(Umz4FLpT2fxLYmzUSj(9qS@H8C-L(tHk0bVP#F8lA^t(%%I*xG(^bo}h)HECfn zFDtvNto*F2`)q3ZWNZ6uXZPgg^&A-ZoMKv#>$U*s@2BhOF)s)KBzyr>jq$Y1nIOh3 z;lJIIeo>B$P>qZT&CG;{het<8r>3Un=H^C6_vhwz#5FaQm6g@i)ipFU^!4>Uwzofb zbc7CshJ_7BMn1;GJZEJ5&CPu-D|@W0d~R>QZEk+<>w7+En=hXK(SCN;@%{Vg=;-Iq zpBEMuwzjsOXJ*KR9?kxV^o)x_W;8 zuNeP-!FZ1e0RNZ5_>8NmsG}_}3svNQ#fyRV-xBx#cKTnN060%@*U+%=2t*_@Dmo@M zEhm%CJaok)>84cSS97<$ElXeg>q=I zTAo^K)l#*7v%}U@YxPRK*>E(ydRxs}v)w|~$LY4(jrJ$EgQ-0A_PVWZpI>KN)9v*; 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multi input + index = [] + dist = [] + + for i in inp.T: + idist, iindex = self.tree.query(i, k=k) + index.append(iindex) + dist.append(idist) + + return index, dist + else: + dist, index = self.tree.query(inp, k=k) + return index, dist + + def search_in_distance(self, inp, r): + u""" + find points with in a distance r + """ + + index = self.tree.query_ball_point(inp, r) + return index + + def PRM_planning(sx, sy, gx, gy, ox, oy, rr): - sample_x, sample_y = sample_points(sx, sy, gx, gy, rr, ox, oy) - plt.plot(sample_x, sample_y, ".r") + obkdtree = KDTree(np.vstack((ox, oy)).T) - road_map = generate_roadmap(sample_x, sample_y, rr) + sample_x, sample_y = sample_points(sx, sy, gx, gy, rr, ox, oy, obkdtree) + if show_animation: + plt.plot(sample_x, sample_y, ".b") + + road_map = generate_roadmap(sample_x, sample_y, rr, obkdtree) rx, ry = dijkstra_planning( sx, sy, gx, gy, ox, oy, rr, road_map, sample_x, sample_y) @@ -45,24 +91,64 @@ def PRM_planning(sx, sy, gx, gy, ox, oy, rr): return rx, ry -def generate_roadmap(sample_x, sample_y, rr): +def is_collision(sx, sy, gx, gy, rr, okdtree): + x = sx + y = sy + dx = gx - sx + dy = gy - sy + yaw = math.atan2(gy - sy, gx - sx) + d = math.sqrt(dx**2 + dy**2) + + if d >= MAX_EDGE_LEN: + return True + + D = rr + nstep = round(d / D) + + for i in range(nstep): + idxs, dist = okdtree.search(np.matrix([x, y]).T) + if dist[0] <= rr: + return True # collision + x += D * math.cos(yaw) + y += D * math.sin(yaw) + + # goal point check + idxs, dist = okdtree.search(np.matrix([gx, gy]).T) + if dist[0] <= rr: + return True # collision + + return False # OK + + +def generate_roadmap(sample_x, sample_y, rr, obkdtree): + """ + Road map generation + + sample_x: [m] x positions of sampled points + sample_y: [m] y positions of sampled points + rr: Robot Radius[m] + obkdtree: KDTree object of obstacles + """ road_map = [] nsample = len(sample_x) - skdtree = pyfastnns.NNS(np.vstack((sample_x, sample_y)).T) + skdtree = KDTree(np.vstack((sample_x, sample_y)).T) for (i, ix, iy) in zip(range(nsample), sample_x, sample_y): - index = skdtree.search( + index, dists = skdtree.search( np.matrix([ix, iy]).T, k=nsample) + inds = index[0][0] edge_id = [] + # print(index) - for ii in range(1, len(index[0][0][0])): - # nx = sample_x[index[i]] - # ny = sample_y[index[i]] + for ii in range(1, len(inds)): + nx = sample_x[inds[ii]] + ny = sample_y[inds[ii]] + + if not is_collision(ix, iy, nx, ny, rr, obkdtree): + edge_id.append(inds[ii]) - # if !is_collision(ix, iy, nx, ny, rr, okdtree) - edge_id.append(index[0][0][0][ii]) if len(edge_id) >= N_KNN: break @@ -94,21 +180,16 @@ def dijkstra_planning(sx, sy, gx, gy, ox, oy, rr, road_map, sample_x, sample_y): print("Cannot find path") break - print(len(openset), len(closedset)) - c_id = min(openset, key=lambda o: openset[o].cost) current = openset[c_id] - print("current", current, c_id) - # input() # show graph - plt.plot(current.x, current.y, "xc") - if len(closedset.keys()) % 10 == 0: + if show_animation and len(closedset.keys()) % 2 == 0: + plt.plot(current.x, current.y, "xg") plt.pause(0.001) - matplotrecorder.save_frame() if c_id == (len(road_map) - 1): - print("Find goal") + print("goal is found!") ngoal.pind = current.pind ngoal.cost = current.cost break @@ -121,16 +202,12 @@ def dijkstra_planning(sx, sy, gx, gy, ox, oy, rr, road_map, sample_x, sample_y): # expand search grid based on motion model for i in range(len(road_map[c_id])): n_id = road_map[c_id][i] - print(i, n_id) dx = sample_x[n_id] - current.x dy = sample_y[n_id] - current.y d = math.sqrt(dx**2 + dy**2) node = Node(sample_x[n_id], sample_y[n_id], current.cost + d, c_id) - # if not verify_node(node, obmap, minx, miny, maxx, maxy): - # continue - if n_id in closedset: continue # Otherwise if it is already in the open set @@ -163,7 +240,7 @@ def plot_road_map(road_map, sample_x, sample_y): [sample_y[i], sample_y[ind]], "-k") -def sample_points(sx, sy, gx, gy, rr, ox, oy): +def sample_points(sx, sy, gx, gy, rr, ox, oy, obkdtree): maxx = max(ox) maxy = max(oy) minx = min(ox) @@ -171,13 +248,11 @@ def sample_points(sx, sy, gx, gy, rr, ox, oy): sample_x, sample_y = [], [] - nns = pyfastnns.NNS(np.vstack((ox, oy)).T) - while len(sample_x) <= N_SAMPLE: tx = (random.random() - minx) * (maxx - minx) ty = (random.random() - miny) * (maxy - miny) - index, dist = nns.search(np.matrix([tx, ty]).T) + index, dist = obkdtree.search(np.matrix([tx, ty]).T) if dist[0] >= rr: sample_x.append(tx) @@ -224,8 +299,8 @@ def main(): oy.append(60.0 - i) plt.plot(ox, oy, ".k") - plt.plot(sx, sy, "xr") - plt.plot(gx, gy, "xb") + plt.plot(sx, sy, "^r") + plt.plot(gx, gy, "^c") plt.grid(True) plt.axis("equal") @@ -233,11 +308,10 @@ def main(): plt.plot(rx, ry, "-r") - for i in range(20): - matplotrecorder.save_frame() - plt.show() + assert len(rx) != 0, 'Cannot found path' - matplotrecorder.save_movie("animation.gif", 0.1) + if show_animation: + plt.show() if __name__ == '__main__':

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