Example #1
0
    def __init__(self):
        self.map_s = MapStorage(debug=True)

        # Create default marker for display of swarm / debug
        point_marker = Marker()
        # point_marker.type = Marker.ARROW
        point_marker.type = Marker.SPHERE
        point_marker.action = Marker.ADD
        # point_marker.scale.x = 2.5
        # point_marker.scale.y = 0.35
        # point_marker.scale.z = 0.35
        point_marker.scale.x = 0.2
        point_marker.scale.y = 0.2
        point_marker.scale.z = 0.2
        point_marker.color.r = 1.0
        point_marker.color.g = 0.0
        point_marker.color.b = 0.0
        point_marker.color.a = 1.0
        self.mark_p = MarkerPlacer("rviz_map_test", "map", 1000, point_marker)

        self.x = 0.0
        self.y = 0.0
        self.start_x = self.map_s.min_x_pos+0.05
        self.start_y = self.map_s.min_y_pos+0.05
        self.end_x = self.map_s.max_x_pos
        self.end_y = self.map_s.max_y_pos
        self.delta_dist = self.map_s.resolution
Example #2
0
class MapTest(object):

    """docstring for MapTest"""

    def __init__(self):
        self.map_s = MapStorage(debug=True)

        # Create default marker for display of swarm / debug
        point_marker = Marker()
        # point_marker.type = Marker.ARROW
        point_marker.type = Marker.SPHERE
        point_marker.action = Marker.ADD
        # point_marker.scale.x = 2.5
        # point_marker.scale.y = 0.35
        # point_marker.scale.z = 0.35
        point_marker.scale.x = 0.2
        point_marker.scale.y = 0.2
        point_marker.scale.z = 0.2
        point_marker.color.r = 1.0
        point_marker.color.g = 0.0
        point_marker.color.b = 0.0
        point_marker.color.a = 1.0
        self.mark_p = MarkerPlacer("rviz_map_test", "map", 1000, point_marker)

        self.x = 0.0
        self.y = 0.0
        self.start_x = self.map_s.min_x_pos+0.05
        self.start_y = self.map_s.min_y_pos+0.05
        self.end_x = self.map_s.max_x_pos
        self.end_y = self.map_s.max_y_pos
        self.delta_dist = self.map_s.resolution

    def run(self):
        self.x = self.start_x
        self.y = self.start_y
        while self.x < self.end_x:
            while self.y < self.end_y:
                # Check if spot is occupied
                if self.map_s.xy_pos_is_occupied(self.x, self.y):
                    # If spot is occupied place particle
                    p = Point(self.x, self.y, 0.0)
                    o = Quaternion()
                    self.mark_p.place_marker([p], [o])
                # Update new y
                self.y += 1.0*self.delta_dist
                # Sleep a tiny bit
                time.sleep(0.0001)
            self.y = self.start_y
            self.x += 5.0*self.delta_dist
Example #3
0
    def initialize_map(self):
        # Load a map, down sample it and expand it
        self.m_s = MapStorage()

        # Down sample in order to reduce graph size
        self.m_s.downsample_map_by_half()
        self.m_s.downsample_map_by_half()

        # Expand in order to avoid collisions
        # Previously expanded twice (inside down sampling) => 0.1 res -> 0.4 res
        # Three more expansions will leave us with an object previously taking up a
        # size of 0.4 m to take up ~4*0.4 -> 1.6. The robot size is 1 metre, so
        # this leaves a space of 0.6 for errors before collisions occur.
        # This is *MUCH* needed - anything else leads to a boatload of collisions
        self.m_s.expand_map()
        self.m_s.expand_map()
        self.m_s.expand_map()
        self.m_s.expand_map()
Example #4
0
def approx_float_dist(pos0, pos1):
    dx = float(pos0[0]) - float(pos1[0])
    dy = float(pos0[1]) - float(pos1[1])
    return dx**2.0 + dy**2.0


def dist(pos0, pos1):
    dx = float(pos0[0]) - float(pos1[0])
    dy = float(pos0[1]) - float(pos1[1])
    return math.sqrt(dx**2.0 + dy**2.0)

if __name__ == "__main__":
    rospy.init_node("astar_tester")
    t = Timer("MapStorage")
    map = MapStorage()
    map.downsample_map_by_half()
    map.downsample_map_by_half()
    map.expand_map()
    map.expand_map()
    map.expand_map()
    t.print_delta()
    def_marker = Marker()
    def_marker.type = Marker.SPHERE
    def_marker.action = Marker.ADD
    def_marker.scale.x = 0.10
    def_marker.scale.y = 0.10
    def_marker.scale.z = 0.10
    def_marker.color.r = 0.0
    def_marker.color.g = 1.0
    def_marker.color.b = 0.0
Example #5
0
class Navigator(object):

    """docstring for Navigator"""

    def __init__(self, start_pos, target_list=[]):
        """
        Various parameters we use to make decisions on
        """
        # The start position we want to hit before we follow targets
        self.start_pos = start_pos

        # List of targets to follow
        self.target_list = target_list

        # nav_queue is used to contain a list of lists of coordinates to follow
        self.nav_queue = list()

        # The distance required of closeness to current coordinate for assuming it to be reached
        self.coord_dist_cutoff = 0.6

        # What the current intermediate goal is
        self.curr_target = (0.0, 0.0)

        # Gains for calculating linear and angular speed
        # ref: A Stable Target-Tracking Control for Unicycle Mobile Robots Lee, S. et al.
        # Linear velocity depends only on K1, angular depends on K1 and K2
        self.K1_default = 1.5
        self.K2_default = -5.0
        self.K1_slow = 0.5
        self.K2_slow = -5.0
        self.K1 = self.K1_default
        self.K2 = self.K2_default

        # Set up a markerarray to show the planned path to take
        self.planned_markers = MarkerPlacer("rviz_planned_path", "map", 4000)
        # Make the marker size a bit bigger so that they are easier to see
        self.planned_markers.set_scale(0.12, 0.12, 0.12)
        # Set them to be spheres
        self.planned_markers.set_type(Marker.SPHERE)
        # Pick a random colour since we might have multiple planned paths and want
        # to differentiate between them
        self.planned_markers.random_color()

        # Set up a markerarray to show the actual path taken
        self.taken_markers = MarkerPlacer("rviz_taken_path", "map", 4000)
        # Make the marker size a bit bigger so that they are easier to see
        self.taken_markers.set_scale(0.12, 0.12, 0.12)
        # Set them to be spheres
        self.taken_markers.set_type(Marker.SPHERE)
        # Pick a random colour since we might want to follow multiple paths and
        # want to differentiate between them
        self.taken_markers.random_color()

        # Set up a markerarray to place markers when the goal is reached
        self.goal_markers = MarkerPlacer("rviz_goals", "map", 40)
        # Make the marker size a bit bigger so that they are easier to see
        self.goal_markers.set_scale(0.10, 0.10, 1.35)
        # Set them to be spheres
        self.goal_markers.set_type(Marker.CYLINDER)
        # Set colour to pink
        self.goal_markers.set_color(1.0, 0.0, 1.0, 1.0)

        # Add a marker for the assumed pose that the navigator is acting on
        self.pose_marker = MarkerPlacer("/rviz_nav_pose", "/map")
        self.pose_marker.set_color(1.0, 1.0, 0.0, 1.0)
        self.pose_marker.set_scale(1.25, 0.25, 0.25)

        # Set up a container for current pose of robot. This pose is the fusion of
        # data received from the particle filter and odometry updates.
        # We store yaw in a separate variable since this will reduce the number of
        # transformations is required from going quat -> yaw -> quat since we will
        # use the yaw directly for navigation purposes
        self.pose = Pose()
        self.yaw = 0.0

        # Subscribe to the real pose of the robot in order to drop markers along the followed path
        self.real_pose = PoseStamped()
        rospy.Subscriber("/real_pose", PoseStamped, self.get_real_pose)

        # Set up a subscriber to particle filter pose
        self.particle_pose = PoseStamped()
        rospy.Subscriber("/particle_pose", PoseStamped, self.get_particle_pose)

        # At this point we kind-of want to wait until we have a particle update
        # before we start throwing odometry updates at the uninitialised position.
        rospy.wait_for_message("/particle_pose", Odometry)

        # Set up a subscriber for (noisy) odometry updates
        # First wait for an Odometry message in order to get a time stamp which
        # will be used to update the robots position from the odometry data
        rospy.wait_for_message("/odom", Odometry)
        self.last_odom_time = rospy.get_time()

        # Then create a container for the odometry and subscribe to the topic.
        self.odom = Odometry()
        rospy.Subscriber("/odom", Odometry, self.get_odom)

        # Initialize the map that will be used for calculating paths and overall navigation
        self.m_s = None
        self.initialize_map()

        # Find path from robot position to start position. For now we're doing
        # this in the navigator, but should perhaps be outsources to an external
        # module later since it can take a very long time.
        self.xy_path = list()
        self.xy_pos_path = list()
        self.get_path_to_start()

        # Add the start pos since the resolution of the planned path is not perfect
        self.xy_pos_path.append(start_pos)

        # Place markers for the current path to show that we know where we are going (hopefully!)
        self.mark_current_path()

        # At this point we got: Robot pose (fusion of particle + odom) and a list
        # of coordinates we want to follow towards a goal. This should be enough
        # navigate!

        # Set up a publisher for sending velocity commands to the robot
        self.vel = Twist()
        self.vel_publisher = rospy.Publisher("/cmd_vel", Twist, queue_size=10)

        # Pop off the first item in list as current goal
        self.curr_target = self.xy_pos_path.pop(0)

    def run(self):
        # Here we need to act on the information previously received regarding
        # robot pose and list of coordinates to follow.
        # Using these parameters we have to figure out:
        # 1) When we are close enough to a coordinate to knock it off the list
        #   1.1) Is the target the goal? If so -> What to do?
        # 2) What the next coordinate is
        # 3) The angle towards the next coordinate
        # 4) The angular and linear speed we need to set in order to hit the coordinate

        # Find closeness to current coordinate
        curr_dist = dist((self.pose.position.x, self.pose.position.y), self.curr_target)
        if curr_dist < self.coord_dist_cutoff:
            # Drop off a marker to show that we have been here
            self.taken_markers.place_marker([copy.deepcopy(self.real_pose.pose.position)],
                                            [copy.deepcopy(self.real_pose.pose.orientation)])
            # Check if we have arrived at the last point in the list (the ultimate goal)
            if len(self.xy_pos_path) == 0:
                if curr_dist < 0.2:
                    # Poop goal marker
                    self.goal_markers.place_marker([self.real_pose.pose.position],
                                                   [self.real_pose.pose.orientation])
                    # Check if there are more targets to go to
                    if len(self.target_list) > 0:
                        # Change the colour for the planned path and path taken to differentiate
                        # it from the previous path
                        self.taken_markers.random_color()
                        self.planned_markers.random_color()

                        # Find a new target and path
                        self.xy_path = self.get_next_path()

                        # Convert the path to xy_pos format
                        self.convert_current_path()

                        # Mark it
                        self.mark_current_path()

                    # if no more targets go to sleep
                    else:
                        rospy.sleep()

            # If we have more coordinates to visit pop off the next one!
            else:
                self.curr_target = self.xy_pos_path.pop(0)
                curr_dist = dist((self.pose.position.x, self.pose.position.y), self.curr_target)
                # Adjust the speed depending on how close we are to the current goal
                if len(self.xy_pos_path) < 5:
                    self.K1 = self.K1_slow
                    self.K2 = self.K2_slow
                else:
                    self.K1 = self.K1_default
                    self.K2 = self.K2_default

        # Figure out the angle we want to travel in to reach the current target
        # Assumption: This is given by atan2 between the target and the robot?
        # This makes sense as it would transpose the origin to the centre of the
        # robot, leaving the calculation to a "virtual" coordinate system around
        # the robot.
        theta = math.atan2(self.curr_target[1] - self.pose.position.y,
                           self.curr_target[0] - self.pose.position.x)
        # Find the difference in theta that should go towards zero when the
        # correct heading is reached
        d_theta = theta - self.yaw
        d_theta = self.normalize(d_theta)

        # Find a new set of linear and angular speeds to publish
        lin_speed = self.new_speed(curr_dist, d_theta)
        ang_speed = self.new_angular_speed(d_theta)

        self.vel.linear.x = lin_speed
        self.vel.angular.z = ang_speed
        self.vel_publisher.publish(self.vel)

    def new_speed(self, radius, target_theta):
        """
        ref:
        A Stable Target-Tracking Control for Unicycle Mobile Robots
        Lee, S. et al.
        """
        return self.K1 * radius * math.cos(target_theta)

    def new_angular_speed(self, target_theta):
        """
        ref:
        A Stable Target-Tracking Control for Unicycle Mobile Robots
        Lee, S. et al.
        """
        factor_1 = (-self.K1) * math.sin(target_theta) * math.cos(target_theta)
        factor_2 = self.K2 * target_theta
        return factor_1 - factor_2

    def get_real_pose(self, pose):
        self.real_pose = pose

    def get_particle_pose(self, particle_pose):
        prev_particle_pose = self.particle_pose
        self.particle_pose = particle_pose

        # Set up a check to see if the new pose is out of whack - Might happen on
        # random occasions. If it is we do not want to update the assumed pose but
        # rather continue using the estimated pose from previous particle filter +
        # odometry updates
        # TODO(geir): Implement the check somehow
        if True:
            self.pose.position = self.particle_pose.pose.position
            self.pose.orientation = self.particle_pose.pose.orientation
            pitch, roll, yaw = tf.transformations.euler_from_quaternion([self.pose.orientation.x,
                                                                         self.pose.orientation.y,
                                                                         self.pose.orientation.z,
                                                                         self.pose.orientation.w])
            self.yaw = yaw

    def get_odom(self, odom):
        self.odom = odom

        # Update current pose with odom data!
        # First get the current time and time since last update
        time = rospy.get_time()
        d_time = time-self.last_odom_time
        self.last_odom_time = time

        # Get the linear and angular velocities
        lin_vel = self.odom.twist.twist.linear.x
        ang_vel = self.odom.twist.twist.angular.z

        # Calculate change in yaw, x and y
        d_theta = ang_vel * d_time
        d_x = (lin_vel * math.cos(self.yaw))*d_time
        d_y = (lin_vel * math.sin(self.yaw))*d_time

        # Update position
        self.yaw += d_theta
        self.pose.position.x += d_x
        self.pose.position.y += d_y
        q = tf.transformations.quaternion_from_euler(0.0, 0.0, self.yaw)
        self.pose.orientation = Quaternion(*q)

        # Publish the marker for this pose
        self.pose_marker.place_marker([self.pose.position], [self.pose.orientation])

    def initialize_map(self):
        # Load a map, down sample it and expand it
        self.m_s = MapStorage()

        # Down sample in order to reduce graph size
        self.m_s.downsample_map_by_half()
        self.m_s.downsample_map_by_half()

        # Expand in order to avoid collisions
        # Previously expanded twice (inside down sampling) => 0.1 res -> 0.4 res
        # Three more expansions will leave us with an object previously taking up a
        # size of 0.4 m to take up ~4*0.4 -> 1.6. The robot size is 1 metre, so
        # this leaves a space of 0.6 for errors before collisions occur.
        # This is *MUCH* needed - anything else leads to a boatload of collisions
        self.m_s.expand_map()
        self.m_s.expand_map()
        self.m_s.expand_map()
        self.m_s.expand_map()

    def get_next_path(self):
        # Here we want to find the item in the list which is the closest to the
        # current position of the robot.
        closest = 999999.9
        closest_index = 0
        for i in range(len(self.target_list)):
            d = dist((self.pose.position.x, self.pose.position.y),
                     (self.target_list[i][0], self.target_list[i][1]))
            if d < closest:
                closest = d
                closest_index = i
        # Get the target that is closest
        pos_t = self.target_list.pop(closest_index)

        # Find the x,y values for robot position and target
        x_t, y_t = self.m_s.xy_from_xy_pos(pos_t[0], pos_t[1])
        x_r, y_r = self.m_s.xy_from_xy_pos(self.pose.position.x, self.pose.position.y)

        # Search for path
        path = astar_search(self.m_s, (x_r, y_r), (x_t, y_t))

        return path

    def get_path_to_start(self):
        # Convert x_pos,y_pos for self.pose and self.start_pos to x,y for use with A* search
        x_r, y_r = self.m_s.xy_from_xy_pos(self.pose.position.x, self.pose.position.y)
        x_s, y_s = self.m_s.xy_from_xy_pos(self.start_pos[0], self.start_pos[1])

        # Find a path from current position to start position
        self.xy_path = astar_search(self.m_s, (x_r, y_r), (x_s, y_s))
        # Convert the path in to real coordinates
        self.convert_current_path()

    def convert_current_path(self):
        # The path is now in (x,y) format so we want to convert this to a list in
        # (x_pos,y_pos) format in order to use it for navigation
        self.xy_pos_path = list()
        for p in self.xy_path:
            x_pos, y_pos = self.m_s.xy_pos_from_xy(p[0], p[1])
            self.xy_pos_path.append((x_pos, y_pos))

    def mark_current_path(self):
        o = Quaternion()  # Need for interface
        o_list = list()
        p_list = list()
        for pos in self.xy_pos_path:
            o_list.append(o)
            p_list.append(Point(pos[0], pos[1], 0.0))
        self.planned_markers.place_marker(p_list, o_list)

    def normalize(self, theta):
        while theta <= math.pi:
            theta += 2.0*math.pi
        while theta > math.pi:
            theta -= 2.0*math.pi
        return theta
Example #6
0
    def __init__(self, odom_rate, sens_median, sens_std_dev, vel_uniform_dist,
                 num_particles, base_scan, start_pos=None, debug=False):
        # Odom rate is used for re-positioning of particles and assumed pose after applying filter
        self.odom_rate = odom_rate
        # Need sensory uncertainty distribution for calculating particle beam probabilities
        self.sens_median = sens_median
        self.sens_std_dev = sens_std_dev
        # Need odometry uncertainty for calculating movement probabilities
        self.vel_uniform_dist = vel_uniform_dist
        # Want to keep track of how many particles we are going to have in the swarm
        self.num_particles = num_particles
        # If there is a starting position for the robot we want to make use of it
        # in order to instantly converge on that spot
        self.start_pos = start_pos
        # If we want debug messages, let us know!
        self.debug = debug

        # Pre-calculate factors for calculating beam unertainty since these are
        # done millions of times per filter (Well... up to 50 times per beam per
        # particle, 30 beams or so, say 1000 particles -> 1.5 million times)
        self.laser_prob_f_1 = (1 / (math.sqrt(2.0*math.pi*(self.sens_std_dev**2.0))))
        self.laser_prob_f_2 = -0.5 / (self.sens_std_dev**2.0)

        # Set up map storage facilities
        self.map_s = MapStorage(self.debug)

        # Set up a publisher for publishing the (assumed) position of the  robot
        # found using the particle filter
        self.particle_p = ParticlePose("map")

        # Set up a transform listener and broadcaster for utility use
        self.tf = tf.TransformListener()

        # Pre-allocate odometry buffers for use when calculating the movement
        # of particles in the swarm
        self.lin_vel_buffer = list()
        self.ang_vel_buffer = list()

        # Receive odometry
        self.odom = Odometry()
        rospy.Subscriber("odom", Odometry, self.get_odom)

        # Receive laser scan
        self.scan = LaserScan()
        rospy.Subscriber(base_scan, LaserScan, self.get_scan)

        # Initialize particle swarm
        self.particles = list()
        for index in range(self.num_particles):
            self.particles.append(copy.deepcopy(Particle()))
        self.initiate_particles()

        # Sleep for a bit to allow data and transforms to be received
        rospy.sleep(0.2)

        # Create default marker for display of swarm / debug
        point_marker = Marker()
        """
        Settings for particle markers with pose
        """
        point_marker.type = Marker.ARROW
        point_marker.action = Marker.ADD
        point_marker.scale.x = 1.25
        point_marker.scale.y = 0.25
        point_marker.scale.z = 0.25
        point_marker.color.r = 0.0
        point_marker.color.g = 1.0
        point_marker.color.b = 0.0
        point_marker.color.a = 1.0
        """
        Settings for beam tracing particles
        point_marker.type = Marker.SPHERE
        point_marker.action = Marker.ADD
        point_marker.scale.x = 0.05
        point_marker.scale.y = 0.05
        point_marker.scale.z = 0.05
        point_marker.color.r = 0.0
        point_marker.color.g = 1.0
        point_marker.color.b = 0.0
        point_marker.color.a = 1.0
        """
        self.mark_p = MarkerPlacer("rviz_particles", "map", 1000, point_marker)
Example #7
0
class ParticleFilter(object):

    """docstring for ParticleFilter"""

    def __init__(self, odom_rate, sens_median, sens_std_dev, vel_uniform_dist,
                 num_particles, base_scan, start_pos=None, debug=False):
        # Odom rate is used for re-positioning of particles and assumed pose after applying filter
        self.odom_rate = odom_rate
        # Need sensory uncertainty distribution for calculating particle beam probabilities
        self.sens_median = sens_median
        self.sens_std_dev = sens_std_dev
        # Need odometry uncertainty for calculating movement probabilities
        self.vel_uniform_dist = vel_uniform_dist
        # Want to keep track of how many particles we are going to have in the swarm
        self.num_particles = num_particles
        # If there is a starting position for the robot we want to make use of it
        # in order to instantly converge on that spot
        self.start_pos = start_pos
        # If we want debug messages, let us know!
        self.debug = debug

        # Pre-calculate factors for calculating beam unertainty since these are
        # done millions of times per filter (Well... up to 50 times per beam per
        # particle, 30 beams or so, say 1000 particles -> 1.5 million times)
        self.laser_prob_f_1 = (1 / (math.sqrt(2.0*math.pi*(self.sens_std_dev**2.0))))
        self.laser_prob_f_2 = -0.5 / (self.sens_std_dev**2.0)

        # Set up map storage facilities
        self.map_s = MapStorage(self.debug)

        # Set up a publisher for publishing the (assumed) position of the  robot
        # found using the particle filter
        self.particle_p = ParticlePose("map")

        # Set up a transform listener and broadcaster for utility use
        self.tf = tf.TransformListener()

        # Pre-allocate odometry buffers for use when calculating the movement
        # of particles in the swarm
        self.lin_vel_buffer = list()
        self.ang_vel_buffer = list()

        # Receive odometry
        self.odom = Odometry()
        rospy.Subscriber("odom", Odometry, self.get_odom)

        # Receive laser scan
        self.scan = LaserScan()
        rospy.Subscriber(base_scan, LaserScan, self.get_scan)

        # Initialize particle swarm
        self.particles = list()
        for index in range(self.num_particles):
            self.particles.append(copy.deepcopy(Particle()))
        self.initiate_particles()

        # Sleep for a bit to allow data and transforms to be received
        rospy.sleep(0.2)

        # Create default marker for display of swarm / debug
        point_marker = Marker()
        """
        Settings for particle markers with pose
        """
        point_marker.type = Marker.ARROW
        point_marker.action = Marker.ADD
        point_marker.scale.x = 1.25
        point_marker.scale.y = 0.25
        point_marker.scale.z = 0.25
        point_marker.color.r = 0.0
        point_marker.color.g = 1.0
        point_marker.color.b = 0.0
        point_marker.color.a = 1.0
        """
        Settings for beam tracing particles
        point_marker.type = Marker.SPHERE
        point_marker.action = Marker.ADD
        point_marker.scale.x = 0.05
        point_marker.scale.y = 0.05
        point_marker.scale.z = 0.05
        point_marker.color.r = 0.0
        point_marker.color.g = 1.0
        point_marker.color.b = 0.0
        point_marker.color.a = 1.0
        """
        self.mark_p = MarkerPlacer("rviz_particles", "map", 1000, point_marker)

    def get_odom(self, odom):
        self.odom = odom
        # Buffer odom data for use when updating particles
        self.lin_vel_buffer.append(self.odom.twist.twist.linear.x)
        self.ang_vel_buffer.append(self.odom.twist.twist.angular.z)
        if self.debug:
            # print(self.odom)
            pass

    def get_scan(self, scan):
        self.scan = scan
        if self.debug:
            # print(self.scan)
            pass

    def initiate_particles(self):
        # If we have a starting position, use that
        if self.start_pos is not None:
            for particle in self.particles:
                particle.p[0] = self.start_pos[0]
                particle.p[1] = self.start_pos[1]
                particle.o = self.start_pos[2]
        # If we do not spread the particles out throughout the map
        else:
            min_x = self.map_s.min_x_pos
            max_x = self.map_s.max_x_pos
            min_y = self.map_s.min_y_pos
            max_y = self.map_s.max_y_pos
            for particle in self.particles:
                particle.randomize(min_x, max_x, min_y, max_y)

    def move_particles(self):

        # Copy and zero odom buffers
        lin_vel_list = self.lin_vel_buffer
        self.lin_vel_buffer = list()
        ang_vel_list = self.ang_vel_buffer
        self.ang_vel_buffer = list()

        # Store the most recent scan for use with filter after movement is
        # complete
        self.odom_synced_scan = copy.deepcopy(self.scan)

        # For each particle change its position and rotation according to each
        # buffered data input with a uniform distribution
        for particle in self.particles:
            for i in range(len(lin_vel_list)):
                lin_vel = lin_vel_list[i] + \
                    np.random.uniform(-self.vel_uniform_dist,
                                      self.vel_uniform_dist)
                ang_vel = ang_vel_list[i] + \
                    np.random.uniform(-self.vel_uniform_dist,
                                      self.vel_uniform_dist)
                d_theta = ang_vel / self.odom_rate
                d_x = (lin_vel * math.cos(particle.o))/self.odom_rate
                d_y = (lin_vel * math.sin(particle.o))/self.odom_rate
                particle.p[0] += d_x
                particle.p[1] += d_y
                particle.o += d_theta

    def place_markers(self):
        pos_list = list()
        or_list = list()
        for index in range(len(self.particles)):
            # print("placing markers index: " + str(index))
            pos_list.append(Point(self.particles[index].p[0], self.particles[index].p[1], 0.0))
            quat = quaternion_from_euler(0.0, 0.0, self.particles[index].o)
            or_list.append(Quaternion(quat[0], quat[1], quat[2], quat[3]))
        self.mark_p.place_marker(pos_list, or_list)

    def sensor_probability(self, meas, exp):
        f_2 = math.exp(self.laser_prob_f_2 * (meas-exp)**2.0)
        prob = self.laser_prob_f_1 * f_2
        return prob

    def apply_filter(self):
        # Copy all scan parameters so that they do not change while we are
        # looping through all the parameters since this takes a while
        d_theta = self.odom_synced_scan.angle_increment
        scan_min_angle = self.odom_synced_scan.angle_min
        scan_max_angle = self.odom_synced_scan.angle_max
        scan_max_range = self.odom_synced_scan.range_max
        ranges = self.odom_synced_scan.ranges
        map_res = self.map_s.resolution

        # Make an empty list for storing the probability for each particle
        probability_list = list()

        max_probability = 0

        # For all particles:
        min_x = self.map_s.min_x_pos
        max_x = self.map_s.max_x_pos
        min_y = self.map_s.min_y_pos
        max_y = self.map_s.max_y_pos
        for i in range(len(self.particles)):
            # Check if the particle is in a valid position. If it is not
            # regenerate the position.
            x_r_m = self.particles[i].p[0]
            y_r_m = self.particles[i].p[1]
            while self.map_s.xy_pos_is_occupied(x_r_m, y_r_m):
                self.particles[i].randomize(min_x, max_x, min_y, max_y)
                x_r_m = self.particles[i].p[0]
                y_r_m = self.particles[i].p[1]

            # Get P(x_r_m,y_r_m,theta_r_m) (robot in map frame) from stored
            # particle
            point_r_m = PointStamped()
            point_r_m.point.x = self.particles[i].p[0]
            point_r_m.point.y = self.particles[i].p[1]
            point_r_m.point.z = 0.0
            point_r_m.header.frame_id = "base_link"
            point_r_m.header.stamp = self.tf.getLatestCommonTime("base_link", "base_laser_link")

            # Transform in to L(x_L_m,y_L_m,theta_L_m) (laser in map frame)
            # using /base_link to /base_laser_link (need a transform listener!)
            point_l_m = self.tf.transformPoint("base_laser_link", point_r_m)
            x_l_m = point_l_m.point.x
            y_l_m = point_l_m.point.y

            # The orientation of the laser scanner in the map frame is the
            # same as the robot, so we are taking a shortcut here
            theta_l_m = self.particles[i].o

            # Publish a transform that will be used to translate from a point
            # in the laser frame of reference to the laser in map frame of
            # reference.

            theta_b_l = scan_min_angle
            theta_b_l_max = scan_max_angle
            beam_index = 0
            probability = 0

            """
            Debug to trace beam!
            pos_list = list()
            or_list = list()
            """

            # For each beam angle theta_b_L (beam in laser frame of reference)
            while theta_b_l < theta_b_l_max + d_theta/10.0:
                # Find check angle theta_b_m =
                # theta_b_L + theta_L_m (beam in map frame of reference)
                theta_b_m = theta_l_m + theta_b_l
                x_slope = math.cos(theta_b_m)*float(map_res)
                y_slope = math.sin(theta_b_m)*float(map_res)
                # For each N deltaDistance, N = 1 ->
                # N = maxDistance/resolution, deltaDistance = map resolution
                for N in range(1, int(scan_max_range/map_res)):
                    # Check if x_b_m =
                    # x_L_m +  x_b_L =
                    # x_L_m + N*dDist*cos(theta_L_m + theta_b_L) and
                    # y_b_m =
                    # y_L_m +  y_b_L =
                    # y_L_m + N*dDist*sin(theta_L_m + theta_b_L) is occupied.
                    x_b_m = x_l_m + float(N)*x_slope
                    y_b_m = y_l_m + float(N)*y_slope

                    """
                    Debug to trace beam!
                    pos_list.append(Point(x_b_m, y_b_m, 0.0))
                    or_list.append(Quaternion(0.0, 0.0, 0.0, 0.0))
                    """

                    # If occupied calculate expected distance between them and
                    # exit loop
                    if self.map_s.xy_pos_is_occupied(x_b_m, y_b_m):
                        exp_dist = self.dist(x_l_m, y_l_m, x_b_m, y_b_m)
                        break
                # If no intersection was detected use max range as expected
                # distance
                # (PS: I was amazed this was possible - an else clause if the
                # break in the loop was not executed!)
                else:
                    exp_dist = scan_max_range

                # Calculate probability for this beam angle
                measured_range = np.random.normal(ranges[beam_index], self.sens_std_dev)
                exp_dist = exp_dist
                """
                measured_range = Decimal(ranges[beam_index])
                exp_dist = Decimal(exp_dist)
                """
                probability_beam = self.sensor_probability(measured_range, exp_dist)
                # Add to previous calculated probabilities
                probability += probability_beam

                # Increment theta of beam and index of beam
                theta_b_l += 2.0*d_theta
                beam_index += 2

                """
                Debug to trace beam
                self.mark_p.place_marker(pos_list, or_list)
                """

            # Add probability for particle to list
            probability_list.append(probability)

            # Check if the beam probability is the "best", if it is store the
            # position as the assumed particle swarm position
            if probability > max_probability:
                max_probability = probability
                self.avg_x = x_r_m
                self.avg_y = y_r_m
                self.avg_theta = theta_l_m

        # print(probability_list)

        # Do hat-search using the weighting in probability list and add found
        # particles to new list
        new_list = self.hat_search(probability_list)
        # Assign new list to be used for next iteration
        self.particles = new_list

    def dist(self, x0, y0, x1, y1):
        d_x = abs(x0-x1)
        d_y = abs(y0-y1)
        return math.sqrt(d_x**2.0 + d_y**2.0)

    def hat_search(self, prob_list):
        new_part_list = list()
        sum_x = 0.0
        sum_y = 0.0
        sum_theta = 0.0
        sum_count = 0

        total = sum(prob_list)
        # Ensure that we have at least one value with probability larger than 0
        if total >= 0:
            end_hat = len(self.particles) - len(self.particles)/20
            for i in range(end_hat):
                rnd_num = sp.random.uniform(0.0, total)
                pick_index = 0
                picking = True
                while picking:
                    rnd_num -= prob_list[pick_index]
                    if rnd_num <= 0:
                        # Add x, y, theta to sum
                        """
                        sum_x += self.particles[pick_index].p[0]
                        sum_y += self.particles[pick_index].p[1]
                        sum_theta += self.particles[pick_index].o
                        sum_count += 1
                        """
                        new_part = Particle([self.particles[pick_index].p[0],
                                             self.particles[pick_index].p[1]],
                                            self.particles[pick_index].o)
                        new_part_list.append(new_part)
                        picking = False
                    else:
                        pick_index += 1
            min_x = self.map_s.min_x_pos
            max_x = self.map_s.max_x_pos
            min_y = self.map_s.min_y_pos
            max_y = self.map_s.max_y_pos
            for i in range(end_hat, len(self.particles)):
                new_part = Particle()
                new_part.randomize(min_x, max_x, min_y, max_y)
                new_part_list.append(copy.deepcopy(new_part))

        # If the total for some reason ended up being all zeroes let us just
        # use the old list, but also need to do the centre of mass calculation
        # for publishing centre off mass
        else:
            new_part_list = self.particles
            for i in range(self.particles):
                # Add x, y, theta to sum
                sum_x += self.particles[i].p[0]
                sum_y += self.particles[i].p[1]
                sum_theta += self.particles[i].o
                sum_count += 1
        """
        self.avg_x = sum_x/sum_count
        self.avg_y = sum_y/sum_count
        self.avg_theta = sum_theta/sum_count
        """

        print("total sum: " + str(total))
        return new_part_list

    def run(self):
        # First we want to update the particle locations using the most recent
        # odometry data
        self.move_particles()

        # Then apply filter to produce a list of new and higher probability
        # particles
        self.apply_filter()

        # Place a selection of markers in rviz to illustrate the particle cloud
        # self.mark_p.clear_markers()
        # self.place_markers()

        # Update the position with most recent odometry updates received since
        # particle filter was started
        self.update_particle_pose()

        # Publish the centre off mass position and orientation for particles
        avg_rot = quaternion_from_euler(0.0, 0.0, self.avg_theta)
        self.particle_p.publish(Point(self.avg_x, self.avg_y, 0.0), Quaternion(*avg_rot))

    def update_particle_pose(self):
        lin_vel_list = self.lin_vel_buffer
        ang_vel_list = self.ang_vel_buffer
        for i in range(len(lin_vel_list)):
            lin_vel = lin_vel_list[i] + \
                np.random.uniform(-self.vel_uniform_dist,
                                  self.vel_uniform_dist)
            ang_vel = ang_vel_list[i] + \
                np.random.uniform(-self.vel_uniform_dist,
                                  self.vel_uniform_dist)
            d_theta = ang_vel / self.odom_rate
            d_x = (lin_vel * math.cos(self.avg_theta))/self.odom_rate
            d_y = (lin_vel * math.sin(self.avg_theta))/self.odom_rate
            self.avg_x += d_x
            self.avg_y += d_y
            self.avg_theta += d_theta