add FMT*

.idea/PathPlanning.iml

@@ -0,0 +1,12 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<module type="PYTHON_MODULE" version="4">
+  <component name="NewModuleRootManager">
+    <content url="file://$MODULE_DIR$" />
+    <orderEntry type="inheritedJdk" />
+    <orderEntry type="sourceFolder" forTests="false" />
+  </component>
+  <component name="TestRunnerService">
+    <option name="projectConfiguration" value="pytest" />
+    <option name="PROJECT_TEST_RUNNER" value="pytest" />
+  </component>
+</module>

.idea/inspectionProfiles/profiles_settings.xml

@@ -0,0 +1,6 @@
+<component name="InspectionProjectProfileManager">
+  <settings>
+    <option name="USE_PROJECT_PROFILE" value="false" />
+    <version value="1.0" />
+  </settings>
+</component>

.idea/misc.xml

@@ -0,0 +1,4 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="ProjectRootManager" version="2" project-jdk-name="Python 3.7" project-jdk-type="Python SDK" />
+</project>

.idea/modules.xml

@@ -0,0 +1,8 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="ProjectModuleManager">
+    <modules>
+      <module fileurl="file://$PROJECT_DIR$/.idea/PathPlanning.iml" filepath="$PROJECT_DIR$/.idea/PathPlanning.iml" />
+    </modules>
+  </component>
+</project>

.idea/vcs.xml

@@ -0,0 +1,6 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="VcsDirectoryMappings">
+    <mapping directory="$PROJECT_DIR$" vcs="Git" />
+  </component>
+</project>

Sampling_based_Planning/rrt_2D/fast_marching_trees.py

@@ -0,0 +1,220 @@
+"""
+Fast Marching Trees (FMT*)
+@author: huiming zhou
+"""
+
+import os
+import sys
+import math
+import random
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.patches as patches
+
+sys.path.append(os.path.dirname(os.path.abspath(__file__)) +
+                "/../../Sampling_based_Planning/")
+
+from Sampling_based_Planning.rrt_2D import env, plotting, utils
+
+
+class Node:
+    def __init__(self, n):
+        self.x = n[0]
+        self.y = n[1]
+        self.parent = None
+        self.cost = np.inf
+
+
+class FMT:
+    def __init__(self, x_start, x_goal, search_radius):
+        self.x_init = Node(x_start)
+        self.x_goal = Node(x_goal)
+        self.search_radius = search_radius
+
+        self.env = env.Env()
+        self.plotting = plotting.Plotting(x_start, x_goal)
+        self.utils = utils.Utils()
+
+        self.fig, self.ax = plt.subplots()
+        self.delta = self.utils.delta
+        self.x_range = self.env.x_range
+        self.y_range = self.env.y_range
+        self.obs_circle = self.env.obs_circle
+        self.obs_rectangle = self.env.obs_rectangle
+        self.obs_boundary = self.env.obs_boundary
+
+        self.V = set()
+        self.V_unvisited = set()
+        self.V_open = set()
+        self.V_closed = set()
+        self.sample_numbers = 1000
+
+    def Init(self):
+        samples = self.SampleFree()
+
+        self.x_init.cost = 0.0
+        self.V.add(self.x_init)
+        self.V.update(samples)
+        self.V_unvisited.update(samples)
+        self.V_unvisited.add(self.x_goal)
+        self.V_open.add(self.x_init)
+
+    def Planning(self):
+        self.Init()
+        z = self.x_init
+        n = self.sample_numbers
+        rn = self.search_radius * math.sqrt((math.log(n) / n))
+        Visited = []
+
+        while z is not self.x_goal:
+            V_open_new = set()
+            X_near = self.Near(self.V_unvisited, z, rn)
+            Visited.append(z)
+
+            for x in X_near:
+                Y_near = self.Near(self.V_open, x, rn)
+                cost_list = {y: y.cost + self.Cost(y, x) for y in Y_near}
+                y_min = min(cost_list, key=cost_list.get)
+
+                if not self.utils.is_collision(y_min, x):
+                    x.parent = y_min
+                    V_open_new.add(x)
+                    self.V_unvisited.remove(x)
+                    x.cost = y_min.cost + self.Cost(y_min, x)
+
+            self.V_open.update(V_open_new)
+            self.V_open.remove(z)
+            self.V_closed.add(z)
+
+            if not self.V_open:
+                print("open set empty!")
+                break
+
+            cost_open = {y: y.cost for y in self.V_open}
+            z = min(cost_open, key=cost_open.get)
+
+        # node_end = self.ChooseGoalPoint()
+        path_x, path_y = self.ExtractPath()
+        self.animation(path_x, path_y, Visited[1: len(Visited)])
+
+    def ChooseGoalPoint(self):
+        Near = self.Near(self.V, self.x_goal, 2.0)
+        cost = {y: y.cost + self.Cost(y, self.x_goal) for y in Near}
+
+        return min(cost, key=cost.get)
+
+    def ExtractPath(self):
+        path_x, path_y = [], []
+        node = self.x_goal
+
+        while node.parent:
+            path_x.append(node.x)
+            path_y.append(node.y)
+            node = node.parent
+
+        path_x.append(self.x_init.x)
+        path_y.append(self.x_init.y)
+
+        return path_x, path_y
+
+    def Cost(self, x_start, x_end):
+        if self.utils.is_collision(x_start, x_end):
+            return np.inf
+        else:
+            return self.calc_dist(x_start, x_end)
+
+    @staticmethod
+    def calc_dist(x_start, x_end):
+        return math.hypot(x_start.x - x_end.x, x_start.y - x_end.y)
+
+    @staticmethod
+    def Near(nodelist, z, rn):
+        return {nd for nd in nodelist
+                if 0 < (nd.x - z.x) ** 2 + (nd.y - z.y) ** 2 <= rn ** 2}
+
+    def SampleFree(self):
+        n = self.sample_numbers
+        delta = self.utils.delta
+        Sample = set()
+
+        ind = 0
+        while ind < n:
+            node = Node((random.uniform(self.x_range[0] + delta, self.x_range[1] - delta),
+                         random.uniform(self.y_range[0] + delta, self.y_range[1] - delta)))
+            if self.utils.is_inside_obs(node):
+                continue
+            else:
+                Sample.add(node)
+                ind += 1
+
+        return Sample
+
+    def animation(self, path_x, path_y, visited):
+        self.plot_grid("Fast Marching Trees (FMT*)")
+
+        for node in self.V:
+            plt.plot(node.x, node.y, marker='.', color='lightgrey', markersize=3)
+
+        count = 0
+        for node in visited:
+            count += 1
+            plt.plot([node.x, node.parent.x], [node.y, node.parent.y], '-g')
+            plt.gcf().canvas.mpl_connect(
+                'key_release_event',
+                lambda event: [exit(0) if event.key == 'escape' else None])
+            if count % 10 == 0:
+                plt.pause(0.001)
+
+        plt.plot(path_x, path_y, linewidth=2, color='red')
+        plt.pause(0.01)
+        plt.show()
+
+    def plot_grid(self, name):
+
+        for (ox, oy, w, h) in self.obs_boundary:
+            self.ax.add_patch(
+                patches.Rectangle(
+                    (ox, oy), w, h,
+                    edgecolor='black',
+                    facecolor='black',
+                    fill=True
+                )
+            )
+
+        for (ox, oy, w, h) in self.obs_rectangle:
+            self.ax.add_patch(
+                patches.Rectangle(
+                    (ox, oy), w, h,
+                    edgecolor='black',
+                    facecolor='gray',
+                    fill=True
+                )
+            )
+
+        for (ox, oy, r) in self.obs_circle:
+            self.ax.add_patch(
+                patches.Circle(
+                    (ox, oy), r,
+                    edgecolor='black',
+                    facecolor='gray',
+                    fill=True
+                )
+            )
+
+        plt.plot(self.x_init.x, self.x_init.y, "bs", linewidth=3)
+        plt.plot(self.x_goal.x, self.x_goal.y, "rs", linewidth=3)
+
+        plt.title(name)
+        plt.axis("equal")
+
+
+def main():
+    x_start = (18, 8)  # Starting node
+    x_goal = (37, 18)  # Goal node
+
+    fmt = FMT(x_start, x_goal, 40)
+    fmt.Planning()
+
+
+if __name__ == '__main__':
+    main()

Search_based_Planning/Search_2D/Bidirectional_a_star.py

@@ -25,7 +25,7 @@ class BidirectionalAstar:
         self.u_set = self.Env.motions                                       # feasible input set
         self.obs = self.Env.obs                                             # position of obstacles
 
-        self.g_fore = {self.s_start: 0, self.s_goal: float("inf")}          # Cost to come: from x_start
+        self.g_fore = {self.s_start: 0, self.s_goal: float("inf")}          # Cost to come: from x_init
         self.g_back = {self.s_goal: 0, self.s_start: float("inf")}          # Cost to come: form x_goal
 
         self.OPEN_fore = queue.QueuePrior()                                 # OPEN set for foreward searching

Search_based_Planning/Search_2D/Dijkstra.py

@@ -10,9 +10,7 @@ import math
 sys.path.append(os.path.dirname(os.path.abspath(__file__)) +
                 "/../../Search_based_Planning/")
 
-from Search_2D import queue
-from Search_2D import plotting
-from Search_2D import env
+from Search_based_Planning.Search_2D import queue, plotting, env
 
 
 class Dijkstra:

Search_based_Planning/Search_2D/LRTAstar.py

@@ -50,7 +50,7 @@ class LrtAstarN:
             for x in h_value:
                 self.h_table[x] = h_value[x]
 
-            s_start, path_k = self.extract_path_in_CLOSE(s_start, h_value)      # x_start -> expected node in OPEN set
+            s_start, path_k = self.extract_path_in_CLOSE(s_start, h_value)      # x_init -> expected node in OPEN set
             self.path.append(path_k)
 
     def extract_path_in_CLOSE(self, s_start, h_value):

Search_based_Planning/Search_3D/Anytime_Dstar3D.py

@@ -207,9 +207,9 @@ class Anytime_Dstar(object):
 
     def path(self, s_start=None):
         '''After ComputeShortestPath()
-        returns, one can then follow a shortest path from x_start to
+        returns, one can then follow a shortest path from x_init to
         x_goal by always moving from the current vertex s, starting
-        at x_start. , to any successor s' that minimizes c(s,s') + g(s')
+        at x_init. , to any successor s' that minimizes c(s,s') + g(s')
         until x_goal is reached (ties can be broken arbitrarily).'''
         path = []
         s_goal = self.xt

Search_based_Planning/Search_3D/DstarLite3D.py

@@ -186,9 +186,9 @@ class D_star_Lite(object):
 
     def path(self, s_start=None):
         '''After ComputeShortestPath()
-        returns, one can then follow a shortest path from x_start to
+        returns, one can then follow a shortest path from x_init to
         x_goal by always moving from the current vertex s, starting
-        at x_start. , to any successor s' that minimizes c(s,s') + g(s')
+        at x_init. , to any successor s' that minimizes c(s,s') + g(s')
         until x_goal is reached (ties can be broken arbitrarily).'''
         path = []
         s_goal = self.xt