Esempio n. 1
0
    def check(self, xyz_pos, printMessages=False):
        if not self.isBetween(xyz_pos, self.xyz_min, self.xyz_max):
            if printMessages: print("xyz out of range")
            return False
        iksolver = IKSolver()
        theta = iksolver.solve(xyz_pos)
        if len(theta) == 0 or not self.isBetween(theta, [self.mintheta] * 3,
                                                 [self.maxtheta] * 3):
            if printMessages: print("no IK solution or theta out of range")
            return False
        xend = xyz_pos[0] - self.gripper_center_x_offset
        yend = xyz_pos[1] - self.gripper_center_y_offset
        zend = xyz_pos[2]
        phi0 = math.asin(xend / self.l)
        phi1 = math.asin((-0.5 * xend - math.sqrt(3) / 2 * yend) / self.l)
        phi2 = math.asin((-0.5 * xend + math.sqrt(3) / 2 * yend) / self.l)

        if printMessages:
            print("phi values: " + str([phi0, phi1, phi2]))
            print("theta values: " + str(theta))
        if not self.isBetween([phi0, phi1, phi2], [self.minphi] * 3,
                              [self.maxphi] * 3):
            if printMessages: print("phi out of range")
            return False
        if printMessages: print("in workspace")
        return True
Esempio n. 2
0
class JoystickController:
    def __init__(self):
        self.rate = 100  #[Hz]

        self.sub_joy_right = rospy.Subscriber('joy_right', smsg.Joy,
                                              self.cb_joy_right)
        self.sub_joy_left = rospy.Subscriber('joy_left', smsg.Joy,
                                             self.cb_joy_left)
        self.joint_commands_pub = rospy.Publisher("/joint_commands",
                                                  Float32MultiArray,
                                                  queue_size=10)

        self.xyz = [0, 0, -714.66]  # Calibrated position
        self.xyz_vel = [0.0, 0.0, 0.0]

        self.iksolver = IKSolver()
        self.wschecker = WorkspaceChecker()

        rospy.Timer(rospy.Duration(1. / self.rate), self.update)

    def cb_joy_right(self, joy):
        self.xyz_vel[0] = 25. * joy.axes[1]
        self.xyz_vel[1] = 25. * joy.axes[0]

    def cb_joy_left(self, joy):
        self.xyz_vel[2] = 25. * joy.axes[1]

    def update(self, event):
        print "Pos: " + str(self.xyz)
        print "Vel: " + str(self.xyz_vel)
        x = self.xyz[0] + self.xyz_vel[0] / self.rate
        y = self.xyz[1] + self.xyz_vel[1] / self.rate
        z = self.xyz[2] + self.xyz_vel[2] / self.rate

        if self.wschecker.check([x, y, z]):
            self.xyz = [x, y, z]
            theta = self.iksolver.solve(self.xyz)
            joint_commands_msg = Float32MultiArray()
            joint_commands_msg.data = theta
            self.joint_commands_pub.publish(joint_commands_msg)
Esempio n. 3
0
class TrajectoryPlanner:
    XYZ_VEL = 150.0
    XYZ_ACCEL = 800.0
    XYZ_VEL_FAST = 400.0
    XYZ_ACCEL_FAST = 4900.0
    pizzaradius = 130.0
    shake_distance = 10.0
    ZOFFSET = 60.0
    MAX_PRESS_RADIUS = 55
    NUM_SHAKES = 6

    def __init__(self):
        self.rate = 100.0  #[Hz]

        self.iksolver = IKSolver()
        self.wschecker = WorkspaceChecker()
        self.xyz_pos_init = [0.0, 0.0, -714.66]
        self.xyz_pos = [
            0.0, 0.0, -714.66
        ]  # Initial position right after calibration (maybe make this more robust)
        self.xyz_goal_pos = [0.0, 0.0, -714.66]

        self.running_task = False
        self.running_trajectory = False

        rospy.Subscriber("/place_topping", KFSPoseArray, self.place_topping_cb)
        rospy.Subscriber("/shake_salt", KFSPoseArray, self.shake_salt_cb)
        rospy.Subscriber("/press_dough", KFSPoseArray, self.press_dough_cb)
        rospy.Subscriber("/push_pizza", KFSPose, self.push_pizza_cb)
        rospy.Subscriber("/move_to", KFSPose, self.move_to_cb)
        rospy.Subscriber("/finished_trajectory", Bool,
                         self.finished_trajectory_cb)

        self.finished_task_pub = rospy.Publisher("/finished_task",
                                                 Bool,
                                                 queue_size=10)
        self.trajectory_pub = rospy.Publisher("/trajectory",
                                              DeltaTrajectory,
                                              queue_size=10)

        self.out_of_range = False

    def finished_trajectory_cb(self, msg):
        self.running_trajectory = not msg.data
        if not self.running_trajectory:
            self.xyz_pos = self.xyz_goal_pos
        else:
            print "Trajectory Follower published False for /finished_trajectory topic."

    def place_topping_cb(self, msg):
        if self.running_task:
            print "Already working on a task"
            return
        self.running_task = True
        print("Moving topping")
        topping_xyz = [0, 0, 0]
        topping_orientation = 0
        topping_xyz[0] = msg.poses[0].position.x
        topping_xyz[1] = msg.poses[0].position.y
        topping_xyz[2] = msg.poses[0].position.z
        topping_orientation = msg.poses[0].orientation

        above_topping_xyz = [0, 0, 0]
        above_topping_orientation = 0
        above_topping_xyz[0] = msg.poses[0].position.x
        above_topping_xyz[1] = msg.poses[0].position.y
        above_topping_xyz[2] = msg.poses[0].position.z + self.ZOFFSET
        above_topping_orientation = msg.poses[0].orientation

        dest_xyz = [0, 0, 0]
        dest_orientation = 0
        dest_xyz[0] = msg.poses[1].position.x + 10  #1cm offset for pizza
        dest_xyz[1] = msg.poses[1].position.y
        dest_xyz[2] = msg.poses[1].position.z + 20
        dest_orientation = msg.poses[1].orientation

        above_dest_xyz = [0, 0, 0]
        above_dest_orientation = 0
        above_dest_xyz[0] = msg.poses[1].position.x
        above_dest_xyz[1] = msg.poses[1].position.y
        above_dest_xyz[2] = msg.poses[1].position.z + self.ZOFFSET
        above_dest_orientation = msg.poses[1].orientation

        self.generateMoveTo(above_topping_xyz, above_topping_orientation, True)
        self.waitForTrajectoryToFinish()
        if (self.out_of_range == False):
            self.generateMoveTo(topping_xyz, topping_orientation, True)
            self.waitForTrajectoryToFinish()
            self.generateMoveTo(topping_xyz, topping_orientation, False)
            self.waitForTrajectoryToFinish()
            self.generateMoveTo(above_topping_xyz, above_topping_orientation,
                                False)
            self.waitForTrajectoryToFinish()
            self.generateMoveTo(above_dest_xyz, above_dest_orientation, False)
            self.waitForTrajectoryToFinish()
            self.generateMoveTo(dest_xyz, dest_orientation, False)
            self.waitForTrajectoryToFinish()
            self.generateMoveTo(dest_xyz, dest_orientation, True)
            self.waitForTrajectoryToFinish()
            self.generateMoveTo(self.xyz_pos_init, 0, True)
            self.waitForTrajectoryToFinish()
            print("Moved topping!")
        self.running_task = False
        finished_task_msg = Bool()
        if (self.out_of_range):
            finished_task_msg.data = False
            self.out_of_range = False
        else:
            finished_task_msg.data = True
        self.finished_task_pub.publish(finished_task_msg)

    def shake_salt_cb(self, msg):
        if self.running_task:
            print "Already working on a task"
            return
        self.running_task = True
        shaker_xyz = [0, 0, 0]
        shaker_orientation = 0
        shaker_xyz[0] = msg.poses[0].position.x - 10.0
        shaker_xyz[1] = msg.poses[0].position.y + 2.0
        shaker_xyz[2] = msg.poses[0].position.z
        shaker_orientation = msg.poses[0].orientation

        above_shaker_xyz = [0, 0, 0]
        above_shaker_orientation = 0
        above_shaker_xyz[0] = msg.poses[0].position.x - 10.0
        above_shaker_xyz[1] = msg.poses[0].position.y + 2.0
        above_shaker_xyz[2] = msg.poses[0].position.z + self.ZOFFSET
        above_shaker_orientation = msg.poses[0].orientation

        dest_xyz = [0, 0, 0]
        dest_orientation = 0
        dest_xyz[0] = msg.poses[1].position.x
        dest_xyz[1] = msg.poses[1].position.y
        dest_xyz[2] = msg.poses[1].position.z
        dest_orientation = msg.poses[1].orientation

        above_dest_xyz = [0, 0, 0]
        above_dest_orientation = 0
        above_dest_xyz[0] = msg.poses[1].position.x
        above_dest_xyz[1] = msg.poses[1].position.y
        above_dest_xyz[2] = msg.poses[1].position.z + self.ZOFFSET + 60.0
        above_dest_orientation = msg.poses[1].orientation

        above_dest_left_xyz = [0, 0, 0]
        above_dest_orientation = 0
        above_dest_left_xyz[0] = msg.poses[1].position.x - self.shake_distance
        above_dest_left_xyz[1] = msg.poses[1].position.y
        above_dest_left_xyz[2] = msg.poses[1].position.z + self.ZOFFSET + 60.0
        above_dest_left_orientation = msg.poses[1].orientation

        above_dest_right_xyz = [0, 0, 0]
        above_dest_right_orientation = 0
        above_dest_right_xyz[0] = msg.poses[1].position.x + self.shake_distance
        above_dest_right_xyz[1] = msg.poses[1].position.y
        above_dest_right_xyz[2] = msg.poses[1].position.z + self.ZOFFSET + 60.0
        above_dest_right_orientation = msg.poses[1].orientation

        self.generateMoveTo(above_shaker_xyz, above_shaker_orientation, True)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(shaker_xyz, shaker_orientation, True)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(shaker_xyz, 0.7, True)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(shaker_xyz, 0.7, False)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(above_shaker_xyz, above_shaker_orientation, False)
        self.waitForTrajectoryToFinish()
        print('grabbed shaker')

        self.generateMoveTo(above_dest_xyz, above_dest_orientation, False)
        self.waitForTrajectoryToFinish()
        '''
		i=0
		for i in range(self.NUM_SHAKES):
			self.generateMoveToFAST(above_dest_left_xyz, dest_orientation, False)
			self.waitForTrajectoryToFinish()
			self.generateMoveToFAST(above_dest_right_xyz, dest_orientation, False)
			self.waitForTrajectoryToFinish()
			print('im shook for the '+str(i)+' time')
		'''
        '''self.generateMoveToFAST(above_dest_left_xyz, dest_orientation, False)
		self.waitForTrajectoryToFinish()
		self.generateMoveToFAST(above_dest_right_xyz, dest_orientation, False)
		self.waitForTrajectoryToFinish()
		print('im shook for the second time')'''

        i = 0
        shaker_shake_radius = 30
        for i in range(0, 480, 15):
            above_dest_circle = [
                above_dest_xyz[0] +
                shaker_shake_radius * math.cos(180 / math.pi * i),
                above_dest_xyz[1] +
                shaker_shake_radius * math.sin(180 / math.pi * i),
                above_dest_xyz[2]
            ]
            above_dest_circle_orientation = 0.0
            self.generateMoveToFAST(above_dest_circle, 0, False)
            self.waitForTrajectoryToFinish()
            print('we have gone' + str(i) + 'around')

        self.generateMoveTo(above_dest_xyz, above_dest_orientation, False)
        self.waitForTrajectoryToFinish()

        self.generateMoveTo(above_shaker_xyz, above_shaker_orientation, False)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(shaker_xyz, shaker_orientation, False)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(shaker_xyz, shaker_orientation, True)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(above_shaker_xyz, above_shaker_orientation, True)
        self.waitForTrajectoryToFinish()

        print("Shook salt!")
        self.running_task = False
        finished_task_msg = Bool()
        finished_task_msg.data = True
        self.finished_task_pub.publish(finished_task_msg)

    def press_dough_cb(self, msg):
        if self.running_task:
            print "Already working on a task"
            return
        self.running_task = True
        presser_xyz = [0, 0, 0]
        presser_orientation = 0
        presser_xyz[0] = msg.poses[0].position.x
        presser_xyz[1] = msg.poses[0].position.y
        presser_xyz[2] = msg.poses[0].position.z + 5
        presser_orientation = msg.poses[0].orientation

        above_presser_xyz = [0, 0, 0]
        above_presser_orientation = 0
        above_presser_xyz[0] = msg.poses[0].position.x
        above_presser_xyz[1] = msg.poses[0].position.y
        above_presser_xyz[2] = msg.poses[0].position.z + self.ZOFFSET + 75
        above_presser_orientation = msg.poses[0].orientation

        dest_xyz = [0, 0, 0]
        dest_orientation = 0
        dest_xyz[0] = msg.poses[1].position.x
        dest_xyz[1] = msg.poses[1].position.y
        dest_xyz[2] = msg.poses[1].position.z + 12
        dest_orientation = msg.poses[1].orientation

        above_dest_xyz = [0, 0, 0]
        above_dest_orientation = 0
        above_dest_xyz[0] = msg.poses[1].position.x
        above_dest_xyz[1] = msg.poses[1].position.y
        above_dest_xyz[2] = msg.poses[1].position.z + self.ZOFFSET
        above_dest_orientation = msg.poses[1].orientation

        self.generateMoveTo(above_presser_xyz, above_presser_orientation, True)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(presser_xyz, presser_orientation, True)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(presser_xyz, presser_orientation, False)
        self.waitForTrajectoryToFinish()
        print('grabbed presser')
        self.generateMoveTo(above_presser_xyz, above_presser_orientation,
                            False)
        self.waitForTrajectoryToFinish()
        for i in range(4):
            dest_xyz[0] = msg.poses[1].position.x
            dest_xyz[1] = msg.poses[1].position.y
            dest_xyz[2] = msg.poses[1].position.z + 20 - i * 2
            above_dest_xyz[0] = msg.poses[1].position.x
            above_dest_xyz[1] = msg.poses[1].position.y
            above_dest_xyz[2] = msg.poses[1].position.z + self.ZOFFSET
            self.generateMoveTo(above_dest_xyz, above_dest_orientation, False)
            self.waitForTrajectoryToFinish()
            self.generateMoveTo(dest_xyz, dest_orientation, False)
            self.waitForTrajectoryToFinish()
            self.generateMoveTo(above_dest_xyz, above_dest_orientation, False)
            self.waitForTrajectoryToFinish()
        r = 20
        while (r < self.MAX_PRESS_RADIUS):
            theta = 0.0
            while theta < 360.0:
                #r=self.pizzaradius*theta/360.0
                x_off = r * math.cos(math.radians(theta))
                y_off = r * math.sin(math.radians(theta))
                print([x_off, y_off, theta])
                dest_xyz[0] = msg.poses[1].position.x + x_off
                dest_xyz[1] = msg.poses[1].position.y + y_off
                dest_xyz[2] = msg.poses[1].position.z + 6
                above_dest_xyz[0] = msg.poses[1].position.x + x_off
                above_dest_xyz[1] = msg.poses[1].position.y + y_off
                above_dest_xyz[2] = msg.poses[1].position.z + self.ZOFFSET
                self.generateMoveTo(above_dest_xyz, above_dest_orientation,
                                    False)
                self.waitForTrajectoryToFinish()
                self.generateMoveTo(dest_xyz, dest_orientation, False)
                self.waitForTrajectoryToFinish()
                self.generateMoveTo(above_dest_xyz, above_dest_orientation,
                                    False)
                self.waitForTrajectoryToFinish()
                theta += 30.0
            r = r + 20.0

        self.generateMoveTo(above_presser_xyz, above_presser_orientation,
                            False)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(presser_xyz, presser_orientation, False)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(presser_xyz, presser_orientation, True)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(above_presser_xyz, above_presser_orientation, True)
        self.waitForTrajectoryToFinish()

        print("Pressed Dough!")
        self.running_task = False
        finished_task_msg = Bool()
        finished_task_msg.data = True
        self.finished_task_pub.publish(finished_task_msg)

    def push_pizza_cb(self, msg):
        if self.running_task:
            print("Already working on a task")
            return
        self.running_task = True

        dest_xyz = [0, 0, 0]
        dest_orientation = 0
        dest_xyz[0] = msg.position.x - self.pizzaradius
        dest_xyz[1] = msg.position.y
        dest_xyz[2] = msg.position.z + 10  #Go a little high on the pizza
        dest_orientation = 0.6

        above_dest_xyz = [0, 0, 0]
        above_dest_xyz[0] = msg.position.x - self.pizzaradius
        above_dest_xyz[1] = msg.position.y
        above_dest_xyz[2] = msg.position.z + self.ZOFFSET
        self.generateMoveTo(above_dest_xyz, 0, True)
        self.waitForTrajectoryToFinish()
        self.generateMoveTo(dest_xyz, dest_orientation, True)
        self.waitForTrajectoryToFinish()
        dest_xyz[0] = 215
        self.generateMoveTo(dest_xyz, dest_orientation, True)
        self.waitForTrajectoryToFinish()
        print("Pushed Pizza!")
        self.running_task = False
        finished_task_msg = Bool()
        finished_task_msg.data = True
        self.finished_task_pub.publish(finished_task_msg)

    def move_to_cb(self, msg):
        if self.running_task:
            print "Already working on a task"
            return
        self.running_task = True
        print("Running move_to")
        dest_xyz = [0, 0, 0]
        dest_orientation = 0
        dest_xyz[0] = msg.position.x
        dest_xyz[1] = msg.position.y
        dest_xyz[2] = msg.position.z
        dest_orientation = msg.orientation
        dest_open = msg.open
        self.generateMoveTo(dest_xyz, dest_orientation, dest_open)
        self.waitForTrajectoryToFinish()
        self.running_task = False
        finished_task_msg = Bool()
        finished_task_msg.data = True
        self.finished_task_pub.publish(finished_task_msg)

    def generateMoveToFAST(self, xyz, orientation, gripper_open):
        if self.running_trajectory:
            print(
                "Currently running a trajectory. Cannot call this function until goal position reached"
            )
            return

        self.running_task = True
        desired_xyz = np.array(xyz)
        desired_rot = orientation
        desired_open = gripper_open

        xyz_initial = np.array(self.xyz_pos)
        diff = desired_xyz - xyz_initial
        d = np.linalg.norm(diff)

        tr = self.XYZ_VEL_FAST / self.XYZ_ACCEL_FAST
        tm = d / self.XYZ_VEL_FAST - tr
        if tm < 0:
            tr = math.sqrt(2 * d / self.XYZ_ACCEL_FAST)
            tm = 0

        t_tot = tm + 2 * tr

        t_ = [i * 1. / self.rate for i in range(0, int(t_tot * self.rate))]

        trajectory_msg = DeltaTrajectory()
        joint_traj = []
        gripper_traj = []

        for t in t_:
            j = JointPosition()
            s = 0
            if t < tr:
                s = 0.5 * self.XYZ_ACCEL_FAST * t**2
            elif t < tr + tm:
                s = 0.5 * self.XYZ_ACCEL_FAST * tr**2 + (
                    t - tr) * self.XYZ_VEL_FAST
            else:
                s = 0.5 * self.XYZ_ACCEL_FAST * tr**2 + tm * self.XYZ_VEL_FAST + 0.5 * self.XYZ_ACCEL_FAST * (
                    tr**2 - (t - tm - 2 * tr)**2)
            #Interpolates directly from A to B, no hopping motion
            xyz_i = xyz_initial + diff * s / d if d != 0 else xyz_initial
            if self.wschecker.check(xyz_i):
                # DO IK
                j.angles = self.iksolver.solve(xyz_i)
            else:
                # print error
                print("error not in workspace")
                return
            g = GripperPosition()
            g.open = gripper_open
            g.angle = orientation

            joint_traj.append(j)
            gripper_traj.append(g)

        if len(joint_traj) == 0 and len(gripper_traj) == 0:
            j = JointPosition()
            if self.wschecker.check(xyz_initial):
                # DO IK
                j.angles = self.iksolver.solve(xyz_initial)
            else:
                # print error
                print("error not in workspace")
                return
            g = GripperPosition()
            g.open = gripper_open
            g.angle = orientation
            joint_traj.append(j)
            gripper_traj.append(g)

        trajectory_msg.joint_trajectory = joint_traj
        trajectory_msg.gripper_trajectory = gripper_traj

        self.running_trajectory = True
        self.xyz_goal_pos = list(desired_xyz)
        self.trajectory_pub.publish(trajectory_msg)

    def generateMoveTo(self, xyz, orientation, gripper_open):
        if self.running_trajectory:
            print(
                "Currently running a trajectory. Cannot call this function until goal position reached"
            )
            return

        self.running_task = True
        desired_xyz = np.array(xyz)
        desired_rot = orientation
        desired_open = gripper_open

        xyz_initial = np.array(self.xyz_pos)
        diff = desired_xyz - xyz_initial
        d = np.linalg.norm(diff)

        tr = self.XYZ_VEL / self.XYZ_ACCEL
        tm = d / self.XYZ_VEL - tr
        if tm < 0:
            tr = math.sqrt(2 * d / self.XYZ_ACCEL)
            tm = 0

        t_tot = tm + 2 * tr

        t_ = [i * 1. / self.rate for i in range(0, int(t_tot * self.rate))]

        trajectory_msg = DeltaTrajectory()
        joint_traj = []
        gripper_traj = []

        for t in t_:
            j = JointPosition()
            s = 0
            if t < tr:
                s = 0.5 * self.XYZ_ACCEL * t**2
            elif t < tr + tm:
                s = 0.5 * self.XYZ_ACCEL * tr**2 + (t - tr) * self.XYZ_VEL
            else:
                s = 0.5 * self.XYZ_ACCEL * tr**2 + tm * self.XYZ_VEL + 0.5 * self.XYZ_ACCEL * (
                    tr**2 - (t - tm - 2 * tr)**2)
            #Interpolates directly from A to B, no hopping motion
            xyz_i = xyz_initial + diff * s / d if d != 0 else xyz_initial
            if self.wschecker.check(xyz_i):
                # DO IK
                j.angles = self.iksolver.solve(xyz_i)
            else:
                # print error
                print("error not in workspace")
                self.out_of_range = True
                return
            g = GripperPosition()
            g.open = gripper_open
            g.angle = orientation

            joint_traj.append(j)
            gripper_traj.append(g)

        if len(joint_traj) == 0 and len(gripper_traj) == 0:
            j = JointPosition()
            if self.wschecker.check(xyz_initial):
                # DO IK
                j.angles = self.iksolver.solve(xyz_initial)
            else:
                # print error
                print("error not in workspace")
                self.out_of_range = True
                return
            g = GripperPosition()
            g.open = gripper_open
            g.angle = orientation
            joint_traj.append(j)
            gripper_traj.append(g)

        trajectory_msg.joint_trajectory = joint_traj
        trajectory_msg.gripper_trajectory = gripper_traj

        self.running_trajectory = True
        self.xyz_goal_pos = list(desired_xyz)
        self.trajectory_pub.publish(trajectory_msg)

    def waitForTrajectoryToFinish(self):
        while self.running_trajectory or self.xyz_pos != self.xyz_goal_pos:
            rospy.sleep(1 / self.rate)
class TestTrajectoryGenerator:
    def __init__(self):

        self.rate = 100  #[Hz]

        rospy.Subscriber("/finished_trajectory", Bool,
                         self.finished_trajectory_cb)

        self.trajectory_pub = rospy.Publisher("/trajectory",
                                              DeltaTrajectory,
                                              queue_size=10)

        self.iksolver = IKSolver()
        self.wschecker = WorkspaceChecker()

        time.sleep(1)

        self.helix(150, 100, 200, 0.5)

    def finished_trajectory_cb(self, msg):
        print "Trajectory finished: " + str(msg.data)

    def sine_wave(self,
                  amplitude=0.2,
                  frequency=0.2,
                  cycles=1,
                  include_gripper=False):
        trajectory_msg = DeltaTrajectory()

        joint_traj = []
        gripper_traj = []

        for t in range(0, int(cycles * self.rate / frequency)):
            s = amplitude * math.sin(2 * math.pi * t * frequency / self.rate)
            j = JointPosition()
            j.angles = [s, s, s]
            joint_traj.append(j)
            g = GripperPosition()
            g.angle = 0
            g.open = False  # if (t*frequency*1.0/self.rate)%1 > 0.5 else False
            gripper_traj.append(g)

        trajectory_msg.joint_trajectory = joint_traj

        trajectory_msg.gripper_trajectory = gripper_traj

        self.trajectory_pub.publish(trajectory_msg)

    def helix(self, radius, pitch, h, freq):
        initial_z = -714.66
        current = [0, 0, initial_z]
        initial = [radius, 0, initial_z]
        trajectory_xyz = []

        for t in range(0, 100):
            xyz = [radius * t * 1. / 100, 0, initial_z]
            trajectory_xyz.append(xyz)

        for t in range(0, int(self.rate * h / pitch / freq)):
            xyz = [
                radius * math.cos(2 * math.pi * freq * t / self.rate),
                radius * math.sin(2 * math.pi * freq * t / self.rate),
                initial_z + freq * pitch * t / self.rate
            ]
            trajectory_xyz.append(xyz)

        for t in range(0, int(self.rate * h / pitch / freq)):
            xyz = [
                radius * math.cos(2 * math.pi * freq * t / self.rate),
                radius * math.sin(2 * math.pi * freq * t / self.rate),
                initial_z + h - freq * pitch * t / self.rate
            ]
            trajectory_xyz.append(xyz)

        for t in range(0, 100):
            xyz = [radius * (1 - t * 1. / 100), 0, initial_z]
            trajectory_xyz.append(xyz)

        joint_traj = []
        gripper_traj = []
        for p in trajectory_xyz:
            if self.wschecker.check(p):
                theta = self.iksolver.solve(p)
                j = JointPosition()
                j.angles = theta
                joint_traj.append(j)
                g = GripperPosition()
                gripper_traj.append(g)
            else:
                print "Trajectory not in workspace"
                return False
        trajectory_msg = DeltaTrajectory()
        trajectory_msg.joint_trajectory = joint_traj
        trajectory_msg.gripper_trajectory = gripper_traj

        self.trajectory_pub.publish(trajectory_msg)