Beispiel #1
0
formulation = tsid.InverseDynamicsFormulationAccForce("tsid", robot, False)
q0 = conf.q0
v0 = np.array(np.zeros(robot.nv)).T
formulation.computeProblemData(0.0, q0, v0)

postureTask = tsid.TaskJointPosture("task-posture", robot)
postureTask.setKp(conf.kp_posture * np.ones(robot.nv).T)
postureTask.setKd(2.0 * np.sqrt(conf.kp_posture) * np.ones(robot.nv).T)
formulation.addMotionTask(postureTask, conf.w_posture, 1, 0.0)

trajPosture = tsid.TrajectoryEuclidianConstant("traj_joint", q0)
postureTask.setReference(trajPosture.computeNext())

v_max = conf.v_max_scaling * model.velocityLimit
v_min = -v_max
jointBoundsTask = tsid.TaskJointBounds("task-joint-bounds", robot, conf.dt)
jointBoundsTask.setVelocityBounds(v_min, v_max)
formulation.addMotionTask(jointBoundsTask, conf.w_joint_bounds, 0, 0.0)

solver = tsid.SolverHQuadProgFast("qp solver")
solver.resize(formulation.nVar, formulation.nEq, formulation.nIn)

if (USE_VIEWER):
    robot_display = se3.RobotWrapper.BuildFromURDF(conf.urdf, [
        conf.path,
    ])
    l = subprocess.getstatusoutput(
        "ps aux |grep 'gepetto-gui'|grep -v 'grep'|wc -l")
    if int(l[1]) == 0:
        os.system('gepetto-gui &')
    time.sleep(1)
Beispiel #2
0
    def __init__(self, conf, viewer=pin.visualize.MeshcatVisualizer):
        self.conf = conf
        self.t_limit = False
        self.j_limit = True

        self.robot = tsid.RobotWrapper(conf.urdf, [conf.path],
                                       pin.JointModelFreeFlyer(), False)
        robot = self.robot
        self.model = robot.model()
        pin.loadReferenceConfigurations(self.model, conf.srdf, False)
        self.q0 = q = self.model.referenceConfigurations["half_sitting"]

        self.q0[0] = q[0] + 0.003 + 0.6
        self.q0[1] = q[1] - 0.001
        # self.q0[2] += 0.84

        q = self.q0
        v = np.zeros(robot.nv)

        assert self.model.existFrame(conf.rf_frame_name)
        assert self.model.existFrame(conf.lf_frame_name)

        formulation = tsid.InverseDynamicsFormulationAccForce(
            "tsid", robot, False)
        formulation.computeProblemData(0.0, q, v)
        data = formulation.data()
        contact_Point = np.ones((3, 4)) * conf.lz
        contact_Point[0, :] = [-conf.lxn, -conf.lxn, conf.lxp, conf.lxp]
        contact_Point[1, :] = [-conf.lyn, conf.lyp, -conf.lyn, conf.lyp]

        contactRF = tsid.Contact6d("contact_rfoot", robot, conf.rf_frame_name,
                                   contact_Point, conf.contactNormal, conf.mu,
                                   conf.fMin, conf.fMax)
        contactRF.setKp(conf.kp_contact * np.ones(6))
        contactRF.setKd(2.0 * np.sqrt(conf.kp_contact) * np.ones(6))
        self.RF = robot.model().getFrameId(conf.rf_frame_name)
        H_rf_ref = robot.framePosition(data, self.RF)

        # modify initial robot configuration so that foot is on the ground (z=0)
        q[2] -= H_rf_ref.translation[2] - conf.lz
        formulation.computeProblemData(0.0, q, v)
        data = formulation.data()
        H_rf_ref = robot.framePosition(data, self.RF)
        contactRF.setReference(H_rf_ref)
        if conf.w_contact >= 0.0:
            formulation.addRigidContact(contactRF, conf.w_forceRef,
                                        conf.w_contact, 1)
        else:
            formulation.addRigidContact(contactRF, conf.w_forceRef)

        contactLF = tsid.Contact6d("contact_lfoot", robot, conf.lf_frame_name,
                                   contact_Point, conf.contactNormal, conf.mu,
                                   conf.fMin, conf.fMax)
        contactLF.setKp(conf.kp_contact * np.ones(6))
        contactLF.setKd(2.0 * np.sqrt(conf.kp_contact) * np.ones(6))
        self.LF = robot.model().getFrameId(conf.lf_frame_name)
        H_lf_ref = robot.framePosition(data, self.LF)
        contactLF.setReference(H_lf_ref)
        if conf.w_contact >= 0.0:
            formulation.addRigidContact(contactLF, conf.w_forceRef,
                                        conf.w_contact, 1)
        else:
            formulation.addRigidContact(contactLF, conf.w_forceRef)

        comTask = tsid.TaskComEquality("task-com", robot)
        comTask.setKp(conf.kp_com * np.ones(3))
        comTask.setKd(2.0 * np.sqrt(conf.kp_com) * np.ones(3))
        formulation.addMotionTask(comTask, conf.w_com, 1, 0.0)

        postureTask = tsid.TaskJointPosture("task-posture", robot)
        postureTask.setKp(conf.kp_posture * conf.gain_vector)
        postureTask.setKd(2.0 * np.sqrt(conf.kp_posture * conf.gain_vector))
        postureTask.mask(conf.masks_posture)
        formulation.addMotionTask(postureTask, conf.w_posture, 1, 0.0)

        orientationRootTask = tsid.TaskSE3Equality("task-orientation-root",
                                                   robot, 'root_joint')
        mask = np.ones(6)
        mask[0:3] = 0
        orientationRootTask.setMask(mask)
        orientationRootTask.setKp(conf.kp_rootOrientation * mask)
        orientationRootTask.setKd(2.0 *
                                  np.sqrt(conf.kp_rootOrientation * mask))
        trajoriRoot = tsid.TrajectorySE3Constant("traj-ori",
                                                 pin.SE3().Identity())
        formulation.addMotionTask(orientationRootTask, conf.w_rootOrientation,
                                  1, 0.0)

        self.amTask = tsid.TaskAMEquality("task-am", robot)
        self.amTask.setKp(conf.kp_am * np.array([1., 1., 0.]))
        self.amTask.setKd(2.0 * np.sqrt(conf.kp_am * np.array([1., 1., 0.])))
        formulation.addMotionTask(self.amTask, conf.w_am, 1, 0.)
        self.sampleAM = tsid.TrajectorySample(3)
        self.amTask.setReference(self.sampleAM)

        self.leftFootTask = tsid.TaskSE3Equality("task-left-foot", self.robot,
                                                 self.conf.lf_frame_name)
        self.leftFootTask.setKp(self.conf.kp_foot * np.ones(6))
        self.leftFootTask.setKd(2.0 * np.sqrt(self.conf.kp_foot) * np.ones(6))
        self.trajLF = tsid.TrajectorySE3Constant("traj-left-foot", H_lf_ref)
        formulation.addMotionTask(self.leftFootTask, self.conf.w_foot, 1, 0.0)

        self.rightFootTask = tsid.TaskSE3Equality("task-right-foot",
                                                  self.robot,
                                                  self.conf.rf_frame_name)
        self.rightFootTask.setKp(self.conf.kp_foot * np.ones(6))
        self.rightFootTask.setKd(2.0 * np.sqrt(self.conf.kp_foot) * np.ones(6))
        self.trajRF = tsid.TrajectorySE3Constant("traj-right-foot", H_rf_ref)
        formulation.addMotionTask(self.rightFootTask, self.conf.w_foot, 1, 0.0)

        if self.t_limit:
            self.tau_max = conf.tau_max_scaling * robot.model(
            ).effortLimit[-robot.na:]
            self.tau_min = -self.tau_max
            actuationBoundsTask = tsid.TaskActuationBounds(
                "task-actuation-bounds", robot)
            actuationBoundsTask.setBounds(self.tau_min, self.tau_max)
            if conf.w_torque_bounds > 0.0:
                print("torque_limit")
                formulation.addActuationTask(actuationBoundsTask,
                                             conf.w_torque_bounds, 0, 0.0)

        if self.j_limit:
            jointBoundsTask = tsid.TaskJointBounds("task-joint-bounds", robot,
                                                   conf.dt)
            self.v_max = conf.v_max_scaling * robot.model(
            ).velocityLimit[-robot.na:]
            self.v_min = -self.v_max
            jointBoundsTask.setVelocityBounds(self.v_min, self.v_max)
            if conf.w_joint_bounds > 0.0:
                print("joint_limit")
                formulation.addMotionTask(jointBoundsTask, conf.w_joint_bounds,
                                          0, 0.0)

        com_ref = robot.com(data)
        self.trajCom = tsid.TrajectoryEuclidianConstant("traj_com", com_ref)
        self.sample_com = self.trajCom.computeNext()

        q_ref = q[7:]
        q_ref[:12] = np.array([
            0., 0., -0.4114, 0.8594, -0.448, -0.0017, 0., 0., -0.4114, 0.8594,
            -0.448, -0.0017
        ])
        self.trajPosture = tsid.TrajectoryEuclidianConstant(
            "traj_joint", q_ref)
        postureTask.setReference(self.trajPosture.computeNext())

        orientationRootTask.setReference(trajoriRoot.computeNext())

        self.sampleLF = self.trajLF.computeNext()
        self.sample_LF_pos = self.sampleLF.pos()
        self.sample_LF_vel = self.sampleLF.vel()
        self.sample_LF_acc = self.sampleLF.acc()

        self.sampleRF = self.trajRF.computeNext()
        self.sample_RF_pos = self.sampleRF.pos()
        self.sample_RF_vel = self.sampleRF.vel()
        self.sample_RF_acc = self.sampleRF.acc()

        self.solver = tsid.SolverHQuadProgFast("qp solver")
        self.solver.resize(formulation.nVar, formulation.nEq, formulation.nIn)

        self.comTask = comTask
        self.postureTask = postureTask
        self.contactRF = contactRF
        self.contactLF = contactLF
        if self.t_limit:
            self.actuationBoundsTask = actuationBoundsTask
        if self.j_limit:
            self.jointBoundsTask = jointBoundsTask
        self.orientationRootTask = orientationRootTask
        self.formulation = formulation
        self.q = q
        self.v = v

        self.contact_LF_active = True
        self.contact_RF_active = True

        if viewer:
            self.robot_display = pin.RobotWrapper.BuildFromURDF(
                conf.urdf, [conf.path], pin.JointModelFreeFlyer())
            if viewer == pin.visualize.GepettoVisualizer:
                import gepetto.corbaserver
                launched = subprocess.getstatusoutput(
                    "ps aux |grep 'gepetto-gui'|grep -v 'grep'|wc -l")
                if int(launched[1]) == 0:
                    os.system('gepetto-gui &')
                time.sleep(1)
                self.viz = viewer(self.robot_display.model,
                                  self.robot_display.collision_model,
                                  self.robot_display.visual_model)
                self.viz.initViewer(loadModel=True)
                self.viz.displayCollisions(False)
                self.viz.displayVisuals(True)
                self.viz.display(q)

                self.gui = self.viz.viewer.gui
                # self.gui.setCameraTransform(0, conf.CAMERA_TRANSFORM)
                # self.gui.addFloor('world/floor')
                self.gui.setLightingMode('world/floor', 'OFF')
            elif viewer == pin.visualize.MeshcatVisualizer:
                self.viz = viewer(self.robot_display.model,
                                  self.robot_display.collision_model,
                                  self.robot_display.visual_model)
                self.viz.initViewer(loadModel=True)
                self.viz.display(q)
Beispiel #3
0
    def __init__(self, conf, viewer=True):
        self.conf = conf
        vector = se3.StdVec_StdString()
        vector.extend(item for item in conf.path)
        self.robot = tsid.RobotWrapper(conf.urdf, vector, False)
        robot = self.robot
        self.model = model = robot.model()
        try:
            #            q = se3.getNeutralConfiguration(model, conf.srdf, False)
            se3.loadReferenceConfigurations(model, conf.srdf, False)
            q = model.referenceConfigurations['default']
#        q = model.referenceConfigurations["half_sitting"]
        except:
            q = conf.q0
#            q = np.matrix(np.zeros(robot.nv)).T
        v = np.matrix(np.zeros(robot.nv)).T

        assert model.existFrame(conf.ee_frame_name)

        formulation = tsid.InverseDynamicsFormulationAccForce(
            "tsid", robot, False)
        formulation.computeProblemData(0.0, q, v)

        postureTask = tsid.TaskJointPosture("task-posture", robot)
        postureTask.setKp(conf.kp_posture * matlib.ones(robot.nv).T)
        postureTask.setKd(2.0 * np.sqrt(conf.kp_posture) *
                          matlib.ones(robot.nv).T)
        formulation.addMotionTask(postureTask, conf.w_posture, 1, 0.0)

        self.eeTask = tsid.TaskSE3Equality("task-ee", self.robot,
                                           self.conf.ee_frame_name)
        self.eeTask.setKp(self.conf.kp_ee * np.matrix(np.ones(6)).T)
        self.eeTask.setKd(2.0 * np.sqrt(self.conf.kp_ee) *
                          np.matrix(np.ones(6)).T)
        self.eeTask.setMask(conf.ee_task_mask)
        self.eeTask.useLocalFrame(False)
        self.EE = model.getFrameId(conf.ee_frame_name)
        H_ee_ref = self.robot.framePosition(formulation.data(), self.EE)
        self.trajEE = tsid.TrajectorySE3Constant("traj-ee", H_ee_ref)
        formulation.addMotionTask(self.eeTask, conf.w_ee, 1, 0.0)

        self.tau_max = conf.tau_max_scaling * model.effortLimit
        self.tau_min = -self.tau_max
        actuationBoundsTask = tsid.TaskActuationBounds("task-actuation-bounds",
                                                       robot)
        actuationBoundsTask.setBounds(self.tau_min, self.tau_max)
        if (conf.w_torque_bounds > 0.0):
            formulation.addActuationTask(actuationBoundsTask,
                                         conf.w_torque_bounds, 0, 0.0)

        jointBoundsTask = tsid.TaskJointBounds("task-joint-bounds", robot,
                                               conf.dt)
        self.v_max = conf.v_max_scaling * model.velocityLimit
        self.v_min = -self.v_max
        jointBoundsTask.setVelocityBounds(self.v_min, self.v_max)
        if (conf.w_joint_bounds > 0.0):
            formulation.addMotionTask(jointBoundsTask, conf.w_joint_bounds, 0,
                                      0.0)

        trajPosture = tsid.TrajectoryEuclidianConstant("traj_joint", q)
        postureTask.setReference(trajPosture.computeNext())

        solver = tsid.SolverHQuadProgFast("qp solver")
        solver.resize(formulation.nVar, formulation.nEq, formulation.nIn)

        self.trajPosture = trajPosture
        self.postureTask = postureTask
        self.actuationBoundsTask = actuationBoundsTask
        self.jointBoundsTask = jointBoundsTask
        self.formulation = formulation
        self.solver = solver
        self.q = q
        self.v = v

        # for gepetto viewer
        if (viewer):
            self.robot_display = se3.RobotWrapper.BuildFromURDF(
                conf.urdf, [
                    conf.path,
                ])
            l = subprocess.getstatusoutput(
                "ps aux |grep 'gepetto-gui'|grep -v 'grep'|wc -l")
            if int(l[1]) == 0:
                os.system('gepetto-gui &')
            time.sleep(1)
            gepetto.corbaserver.Client()
            self.robot_display.initViewer(loadModel=True)
            self.robot_display.displayCollisions(False)
            self.robot_display.displayVisuals(True)
            self.robot_display.display(q)
            self.gui = self.robot_display.viewer.gui
            self.gui.setCameraTransform(0, conf.CAMERA_TRANSFORM)
Beispiel #4
0
    def __init__(self, conf, viewer=True):
        self.conf = conf
        vector = se3.StdVec_StdString()
        vector.extend(item for item in conf.path)
        self.robot = tsid.RobotWrapper(conf.urdf, vector,
                                       se3.JointModelFreeFlyer(), False)
        robot = self.robot
        self.model = robot.model()
        pin.loadReferenceConfigurations(self.model, conf.srdf, False)
        self.q0 = q = self.model.referenceConfigurations["half_sitting"]
        v = np.zeros(robot.nv)

        assert self.model.existFrame(conf.rf_frame_name)
        assert self.model.existFrame(conf.lf_frame_name)

        formulation = tsid.InverseDynamicsFormulationAccForce(
            "tsid", robot, False)
        formulation.computeProblemData(0.0, q, v)
        data = formulation.data()
        contact_Point = np.ones((3, 4)) * conf.lz
        contact_Point[0, :] = [-conf.lxn, -conf.lxn, conf.lxp, conf.lxp]
        contact_Point[1, :] = [-conf.lyn, conf.lyp, -conf.lyn, conf.lyp]

        contactRF = tsid.Contact6d("contact_rfoot", robot, conf.rf_frame_name,
                                   contact_Point, conf.contactNormal, conf.mu,
                                   conf.fMin, conf.fMax)
        contactRF.setKp(conf.kp_contact * np.ones(6))
        contactRF.setKd(2.0 * np.sqrt(conf.kp_contact) * np.ones(6))
        self.RF = robot.model().getJointId(conf.rf_frame_name)
        H_rf_ref = robot.position(data, self.RF)

        # modify initial robot configuration so that foot is on the ground (z=0)
        q[2] -= H_rf_ref.translation[2] - conf.lz
        formulation.computeProblemData(0.0, q, v)
        data = formulation.data()
        H_rf_ref = robot.position(data, self.RF)
        contactRF.setReference(H_rf_ref)
        formulation.addRigidContact(contactRF, conf.w_forceRef)

        contactLF = tsid.Contact6d("contact_lfoot", robot, conf.lf_frame_name,
                                   contact_Point, conf.contactNormal, conf.mu,
                                   conf.fMin, conf.fMax)
        contactLF.setKp(conf.kp_contact * np.ones(6))
        contactLF.setKd(2.0 * np.sqrt(conf.kp_contact) * np.ones(6))
        self.LF = robot.model().getJointId(conf.lf_frame_name)
        H_lf_ref = robot.position(data, self.LF)
        contactLF.setReference(H_lf_ref)
        formulation.addRigidContact(contactLF, conf.w_forceRef)

        comTask = tsid.TaskComEquality("task-com", robot)
        comTask.setKp(conf.kp_com * np.ones(3))
        comTask.setKd(2.0 * np.sqrt(conf.kp_com) * np.ones(3))
        formulation.addMotionTask(comTask, conf.w_com, 1, 0.0)

        postureTask = tsid.TaskJointPosture("task-posture", robot)
        postureTask.setKp(conf.kp_posture * np.ones(robot.nv - 6))
        postureTask.setKd(2.0 * np.sqrt(conf.kp_posture) *
                          np.ones(robot.nv - 6))
        formulation.addMotionTask(postureTask, conf.w_posture, 1, 0.0)

        self.leftFootTask = tsid.TaskSE3Equality("task-left-foot", self.robot,
                                                 self.conf.lf_frame_name)
        self.leftFootTask.setKp(self.conf.kp_foot * np.ones(6))
        self.leftFootTask.setKd(2.0 * np.sqrt(self.conf.kp_foot) * np.ones(6))
        self.trajLF = tsid.TrajectorySE3Constant("traj-left-foot", H_lf_ref)
        formulation.addMotionTask(self.leftFootTask, self.conf.w_foot, 1, 0.0)

        self.rightFootTask = tsid.TaskSE3Equality("task-right-foot",
                                                  self.robot,
                                                  self.conf.rf_frame_name)
        self.rightFootTask.setKp(self.conf.kp_foot * np.ones(6))
        self.rightFootTask.setKd(2.0 * np.sqrt(self.conf.kp_foot) * np.ones(6))
        self.trajRF = tsid.TrajectorySE3Constant("traj-right-foot", H_rf_ref)
        formulation.addMotionTask(self.rightFootTask, self.conf.w_foot, 1, 0.0)

        self.tau_max = conf.tau_max_scaling * robot.model(
        ).effortLimit[-robot.na:]
        self.tau_min = -self.tau_max
        actuationBoundsTask = tsid.TaskActuationBounds("task-actuation-bounds",
                                                       robot)
        actuationBoundsTask.setBounds(self.tau_min, self.tau_max)
        if (conf.w_torque_bounds > 0.0):
            formulation.addActuationTask(actuationBoundsTask,
                                         conf.w_torque_bounds, 0, 0.0)

        jointBoundsTask = tsid.TaskJointBounds("task-joint-bounds", robot,
                                               conf.dt)
        self.v_max = conf.v_max_scaling * robot.model(
        ).velocityLimit[-robot.na:]
        self.v_min = -self.v_max
        jointBoundsTask.setVelocityBounds(self.v_min, self.v_max)
        if (conf.w_joint_bounds > 0.0):
            formulation.addMotionTask(jointBoundsTask, conf.w_joint_bounds, 0,
                                      0.0)

        com_ref = robot.com(data)
        self.trajCom = tsid.TrajectoryEuclidianConstant("traj_com", com_ref)
        self.sample_com = self.trajCom.computeNext()

        q_ref = q[7:]
        self.trajPosture = tsid.TrajectoryEuclidianConstant(
            "traj_joint", q_ref)
        postureTask.setReference(self.trajPosture.computeNext())

        self.sampleLF = self.trajLF.computeNext()
        self.sample_LF_pos = self.sampleLF.pos()
        self.sample_LF_vel = self.sampleLF.vel()
        self.sample_LF_acc = self.sampleLF.acc()

        self.sampleRF = self.trajRF.computeNext()
        self.sample_RF_pos = self.sampleRF.pos()
        self.sample_RF_vel = self.sampleRF.vel()
        self.sample_RF_acc = self.sampleRF.acc()

        self.solver = tsid.SolverHQuadProgFast("qp solver")
        self.solver.resize(formulation.nVar, formulation.nEq, formulation.nIn)

        self.comTask = comTask
        self.postureTask = postureTask
        self.contactRF = contactRF
        self.contactLF = contactLF
        self.actuationBoundsTask = actuationBoundsTask
        self.jointBoundsTask = jointBoundsTask
        self.formulation = formulation
        self.q = q
        self.v = v

        self.contact_LF_active = True
        self.contact_RF_active = True

        # for gepetto viewer
        if (viewer):
            self.robot_display = se3.RobotWrapper.BuildFromURDF(
                conf.urdf, [
                    conf.path,
                ], se3.JointModelFreeFlyer())
            l = subprocess.getstatusoutput(
                "ps aux |grep 'gepetto-gui'|grep -v 'grep'|wc -l")
            if int(l[1]) == 0:
                os.system('gepetto-gui &')
            time.sleep(1)
            gepetto.corbaserver.Client()
            self.robot_display.initViewer(loadModel=True)
            self.robot_display.displayCollisions(False)
            self.robot_display.displayVisuals(True)
            self.robot_display.display(q)

            self.gui = self.robot_display.viewer.gui
            #            self.gui.setCameraTransform(0, conf.CAMERA_TRANSFORM)
            self.gui.addFloor('world/floor')
            self.gui.setLightingMode('world/floor', 'OFF')
Beispiel #5
0
def generate_wholebody_tsid(cfg, cs_ref, fullBody=None, viewer=None, robot=None, queue_qt = None):
    """
    Generate the whole body motion corresponding to the given contactSequence
    :param cs: Contact sequence containing the references,
     it will only be modified if the end effector trajectories are not valid.
     New references will be generated and added to the cs
    :param fullBody: Required to compute collision free end effector trajectories
    :param viewer: If provided, and the settings are enabled, display the end effector trajectories and the last step computed
    :param robot: a tsid.RobotWrapper instance. If None, a new one is created from the urdf files defined in cfg
    :param queue_qt: If not None, the joint trajectories are send to this multiprocessing.Queue during computation
        The queue take a tuple: [q_t (a Curve object), ContactPhase (may be None), Bool (True mean that this is the
         last trajectory of the motion)]
    :return: a new ContactSequence object, containing the wholebody trajectories,
    and the other trajectories computed from the wholebody motion request with cfg.IK_STORE_* and a robotWrapper instance
    """

    # define nested functions used in control loop #

    def appendJointsValues(first_iter_for_phase = False):
        """
        Append the current q value to the current phase.q_t trajectory
        :param first_iter_for_phase: if True, set the current phase.q_init value
        and initialize a new Curve for phase.q_t
        """
        if first_iter_for_phase:
            phase.q_init = q
            phase.q_t = piecewise(polynomial(q.reshape(-1,1), t, t))
            #phase.root_t = piecewise_SE3(constantSE3curve(SE3FromConfig(q) ,t))
        else:
            phase.q_t.append(q, t)
            #phase.root_t.append(SE3FromConfig(q), t)
        if queue_qt:
            queue_qt.put([phase.q_t.curve_at_index(phase.q_t.num_curves()-1),
                          phase.dq_t.curve_at_index(phase.dq_t.num_curves()-1),
                          None,
                          False])

    def appendJointsDerivatives(first_iter_for_phase=False):
        """
        Append the current v and dv value to the current phase.dq_t and phase.ddq_t trajectory
        :param first_iter_for_phase: if True, initialize a new Curve for phase.dq_t and phase.ddq_t
        """
        if first_iter_for_phase:
            phase.dq_t = piecewise(polynomial(v.reshape(-1, 1), t, t))
            phase.ddq_t = piecewise(polynomial(dv.reshape(-1, 1), t, t))
        else:
            phase.dq_t.append(v, t)
            phase.ddq_t.append(dv, t)

    def appendTorques(first_iter_for_phase = False):
        """
        Append the current tau value to the current phase.tau_t trajectory
        :param first_iter_for_phase: if True, initialize a new Curve for phase.tau_t
        """
        tau = invdyn.getActuatorForces(sol)
        if first_iter_for_phase:
            phase.tau_t = piecewise(polynomial(tau.reshape(-1,1), t, t))
        else:
            phase.tau_t.append(tau, t)

    def appendCentroidal(first_iter_for_phase = False):
        """
        Compute the values of the CoM position, velocity, acceleration, the anuglar momentum and it's derivative
        from the wholebody data and append them to the current phase trajectories
        :param first_iter_for_phase: if True, set the initial values for the current phase
        and initialize the centroidal trajectories
        """
        pcom, vcom, acom = pinRobot.com(q, v, dv)
        L = pinRobot.centroidalMomentum(q, v).angular
        dL = pin.computeCentroidalMomentumTimeVariation(pinRobot.model, pinRobot.data, q, v, dv).angular
        if first_iter_for_phase:
            phase.c_init = pcom
            phase.dc_init = vcom
            phase.ddc_init = acom
            phase.L_init = L
            phase.dL_init = dL
            phase.c_t = piecewise(polynomial(pcom.reshape(-1,1), t , t))
            phase.dc_t = piecewise(polynomial(vcom.reshape(-1,1), t, t))
            phase.ddc_t = piecewise(polynomial(acom.reshape(-1,1), t, t))
            phase.L_t = piecewise(polynomial(L.reshape(-1,1), t, t))
            phase.dL_t = piecewise(polynomial(dL.reshape(-1,1), t, t))
        else:
            phase.c_t.append(pcom, t)
            phase.dc_t.append(vcom, t)
            phase.ddc_t.append(acom, t)
            phase.L_t.append(L, t)
            phase.dL_t.append(dL, t)

    def appendZMP(first_iter_for_phase = False):
        """
        Compute the zmp from the current wholebody data and append it to the current phase
        :param first_iter_for_phase: if True, initialize a new Curve for phase.zmp_t
        """
        tau = pin.rnea(pinRobot.model, pinRobot.data, q, v, dv)
        # tau without external forces, only used for the 6 first
        # res.tau_t[:6,k_t] = tau[:6]
        phi0 = pinRobot.data.oMi[1].act(Force(tau[:6]))
        wrench = phi0.vector
        zmp = shiftZMPtoFloorAltitude(cs, t, phi0, cfg.Robot)
        if first_iter_for_phase:
            phase.zmp_t = piecewise(polynomial(zmp.reshape(-1,1), t, t))
            phase.wrench_t = piecewise(polynomial(wrench.reshape(-1,1), t, t))
        else:
            phase.zmp_t.append(zmp, t)
            phase.wrench_t.append(wrench, t)

    def appendEffectorsTraj(first_iter_for_phase = False):
        """
        Append the current position of the effectors not in contact to the current phase trajectories
        :param first_iter_for_phase: if True, initialize a new Curve for the phase effector trajectories
        """
        if first_iter_for_phase and phase_prev:
            for eeName in phase_prev.effectorsWithTrajectory():
                if t > phase_prev.effectorTrajectory(eeName).max():
                    placement = getCurrentEffectorPosition(robot, invdyn.data(), eeName)
                    phase_prev.effectorTrajectory(eeName).append(placement, t)

        for eeName in phase.effectorsWithTrajectory():
            placement = getCurrentEffectorPosition(robot, invdyn.data(), eeName)
            if first_iter_for_phase:
                phase.addEffectorTrajectory(eeName, piecewise_SE3(constantSE3curve(placement, t)))
            else:
                phase.effectorTrajectory(eeName).append(placement, t)


    def appendContactForcesTrajs(first_iter_for_phase = False):
        """
        Append the current contact force value to the current phase, for all the effectors in contact
        :param first_iter_for_phase: if True, initialize a new Curve for the phase contact trajectories
        """
        for eeName in phase.effectorsInContact():
            contact = dic_contacts[eeName]
            if invdyn.checkContact(contact.name, sol):
                contact_forces = invdyn.getContactForce(contact.name, sol)
                contact_normal_force = np.array(contact.getNormalForce(contact_forces))
            else:
                logger.warning("invdyn check contact returned false while the reference contact is active !")
                contact_normal_force = np.zeros(1)
                if cfg.Robot.cType == "_3_DOF":
                    contact_forces = np.zeros(3)
                else:
                    contact_forces = np.zeros(12)
            if first_iter_for_phase:
                phase.addContactForceTrajectory(eeName, piecewise(polynomial(contact_forces.reshape(-1,1), t, t)))
                phase.addContactNormalForceTrajectory(eeName, piecewise(polynomial(contact_normal_force.reshape(1,1), t, t)))
            else:
                phase.contactForce(eeName).append(contact_forces, t)
                phase.contactNormalForce(eeName).append(contact_normal_force.reshape(1), t)


    def storeData(first_iter_for_phase = False):
        """
        Append all the required data (selected in the configuration file) to the current ContactPhase
        :param first_iter_for_phase: if True, set the initial values for the current phase
        and correctly initiliaze empty trajectories for this phase
        """
        if cfg.IK_store_joints_derivatives:
            appendJointsDerivatives(first_iter_for_phase)
        appendJointsValues(first_iter_for_phase)
        if cfg.IK_store_joints_torque:
            appendTorques(first_iter_for_phase)
        if cfg.IK_store_centroidal:
            appendCentroidal(first_iter_for_phase)
        if cfg.IK_store_zmp:
            appendZMP(first_iter_for_phase)
        if cfg.IK_store_effector:
            appendEffectorsTraj(first_iter_for_phase)
        if cfg.IK_store_contact_forces:
            appendContactForcesTrajs(first_iter_for_phase)


    def printIntermediate():
        """
        Print the current state: active contacts, tracking errors, computed joint acceleration and velocity
        :return:
        """
        if logger.isEnabledFor(logging.INFO):
            print("Time %.3f" % (t))
            for eeName, contact in dic_contacts.items():
                if invdyn.checkContact(contact.name, sol):
                    f = invdyn.getContactForce(contact.name, sol)
                    print("\tnormal force %s: %.1f" % (contact.name.ljust(20, '.'), contact.getNormalForce(f)))

            print("\ttracking err %s: %.3f" % (comTask.name.ljust(20, '.'), norm(comTask.position_error, 2)))
            for eeName in phase.effectorsWithTrajectory():
                task = dic_effectors_tasks[eeName]
                error = task.position_error
                if cfg.Robot.cType == "_3_DOF":
                    error = error[0:3]
                print("\ttracking err %s: %.3f" % (task.name.ljust(20, '.'), norm(error, 2)))
            print("\t||v||: %.3f\t ||dv||: %.3f" % (norm(v, 2), norm(dv)))

    def checkDiverge():
        """
        Check if either the joint velocity or acceleration is over a treshold or is NaN, and raise an error
        """
        if norm(dv) > 1e6 or norm(v) > 1e6:
            logger.error("!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!")
            logger.error("/!\ ABORT : controler unstable at t = %f  /!\ ", t)
            logger.error("!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!")
            raise ValueError("ABORT : controler unstable at t = " + str(t))
        if math.isnan(norm(dv)) or math.isnan(norm(v)):
            logger.error("!!!!!!    !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!")
            logger.error("/!\ ABORT : nan   at t = %f   /!\ ", t)
            logger.error("!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!")
            raise ValueError("ABORT : controler unstable at t = " + str(t))

    def stopHere():
        """
        Set the current data as final values for the current phase, resize the contact sequence if needed and return
        :return: [The current ContactSequence, the RobotWrapper]
        """
        setPreviousFinalValues(phase_prev, phase, cfg)
        if cfg.WB_ABORT_WHEN_INVALID:
            # cut the sequence up to the last phase
            cs.resize(pid)
            return cs, robot
        elif cfg.WB_RETURN_INVALID:
            # cut the sequence up to the current phase
            cs.resize(pid+1)
            return cs, robot

    ### End of nested functions definitions ###
    if not viewer:
        logger.warning("No viewer linked, cannot display end_effector trajectories.")
    logger.warning("Start TSID ... ")


    # copy the given contact sequence to keep it as reference :
    cs = ContactSequence(cs_ref)
    # delete all the 'reference' trajectories from result (to leave room for the real trajectories stored)
    deleteAllTrajectories(cs)

    # Create a robot wrapper
    if robot is None or cfg.IK_store_centroidal or cfg.IK_store_zmp:
        rp = RosPack()
        package_name = cfg.Robot.packageName.split("/")[0]
        package_path = rp.get_path(package_name)
        urdf = package_path + cfg.Robot.packageName.lstrip(
            package_name) + '/urdf/' + cfg.Robot.urdfName + cfg.Robot.urdfSuffix + '.urdf'
        logger.info("load robot : %s", urdf)
    if robot is None:
        logger.info("load robot : %s", urdf)
        robot = tsid.RobotWrapper(urdf, pin.StdVec_StdString(), pin.JointModelFreeFlyer(), False)
    else:
        logger.info("Use given robot in tsid.")
    logger.info("robot loaded in tsid.")
    if cfg.IK_store_centroidal or cfg.IK_store_zmp:
        logger.info("load pinocchio robot ...")
        # FIXME : tsid robotWrapper don't have all the required methods, only pinocchio have them
        pinRobot = pin.RobotWrapper.BuildFromURDF(urdf, package_path, pin.JointModelFreeFlyer())
        logger.info("pinocchio robot loaded.")

    # get the selected end effector trajectory generation method
    effectorMethod, effectorCanRetry = cfg.get_effector_method()

    # get the selected simulator method
    Simulator = cfg.get_simulator_class()
    simulator = Simulator(cfg.IK_dt, robot.model())

    ### Define initial state of the robot ###
    phase0 = cs.contactPhases[0]
    q = phase0.q_init[:robot.nq].copy()
    if not q.any():
        raise RuntimeError("The contact sequence doesn't contain an initial whole body configuration")
    t = phase0.timeInitial
    if cs_ref.contactPhases[0].dq_t and cs_ref.contactPhases[0].dq_t.min() <= t <= cs_ref.contactPhases[0].dq_t.max():
        v = cs_ref.contactPhases[0].dq_t(t)
    else:
        v = np.zeros(robot.nv)
    logger.debug("V_init used in tsid : %s", v)

    invdyn = tsid.InverseDynamicsFormulationAccForce("tsid", robot, False)
    invdyn.computeProblemData(t, q, v)
    simulator.init(q, v)

    # add initial contacts :
    dic_contacts = {}
    for eeName in cs.contactPhases[0].effectorsInContact():
        # replace the initial contact patch placements if needed to match exactly the current position in the problem:
        updateContactPlacement(cs, 0, eeName,
                               getCurrentEffectorPosition(robot, invdyn.data(), eeName),
                               cfg.Robot.cType == "_6_DOF")
        # create the contacts :
        contact = createContactForEffector(cfg, invdyn, robot, eeName, phase0.contactPatch(eeName), False)
        dic_contacts.update({eeName: contact})

    if cfg.EFF_CHECK_COLLISION:  # initialise object needed to check the motion
        from mlp.utils import check_path
        validator = check_path.PathChecker(fullBody, cfg.CHECK_DT, logger.isEnabledFor(logging.INFO))

    ### Initialize all task used  ###
    logger.info("initialize tasks : ")
    if cfg.w_com > 0. :
        comTask = tsid.TaskComEquality("task-com", robot)
        comTask.setKp(cfg.kp_com * np.ones(3))
        comTask.setKd(2.0 * np.sqrt(cfg.kp_com) * np.ones(3))
        invdyn.addMotionTask(comTask, cfg.w_com, cfg.level_com, 0.0)
    else:
        comTask = None

    if cfg.w_am > 0.:
        amTask = tsid.TaskAMEquality("task-am", robot)
        amTask.setKp(cfg.kp_am * np.array([1., 1., 0.]))
        amTask.setKd(2.0 * np.sqrt(cfg.kp_am * np.array([1., 1., 0.])))
        invdyn.addMotionTask(amTask, cfg.w_am, cfg.level_am, 0.)
    else:
        amTask = None

    if cfg.w_posture > 0.:
        postureTask = tsid.TaskJointPosture("task-joint-posture", robot)
        postureTask.setKp(cfg.kp_posture * cfg.gain_vector)
        postureTask.setKd(2.0 * np.sqrt(cfg.kp_posture * cfg.gain_vector))
        postureTask.setMask(cfg.masks_posture)
        invdyn.addMotionTask(postureTask, cfg.w_posture, cfg.level_posture, 0.0)
        q_ref = cfg.IK_REFERENCE_CONFIG
        samplePosture = tsid.TrajectorySample(q_ref.shape[0] - 7)
        samplePosture.pos(q_ref[7:]) # -7 because we remove the freeflyer part
    else :
        postureTask = None

    if cfg.w_rootOrientation > 0. :
        orientationRootTask = tsid.TaskSE3Equality("task-orientation-root", robot, 'root_joint')
        mask = np.ones(6)
        mask[0:3] = 0
        mask[5] = cfg.YAW_ROT_GAIN
        orientationRootTask.setMask(mask)
        orientationRootTask.setKp(cfg.kp_rootOrientation * mask)
        orientationRootTask.setKd(2.0 * np.sqrt(cfg.kp_rootOrientation * mask))
        invdyn.addMotionTask(orientationRootTask, cfg.w_rootOrientation, cfg.level_rootOrientation, 0.0)
    else:
        orientationRootTask = None

    # init effector task objects :
    usedEffectors = cs.getAllEffectorsInContact()
    dic_effectors_tasks = createEffectorTasksDic(cfg, usedEffectors, robot)

    # Add bounds tasks if required:
    if cfg.w_torque_bounds > 0.:
        tau_max = cfg.scaling_torque_bounds*robot.model().effortLimit[-robot.na:]
        tau_min = -tau_max
        actuationBoundsTask = tsid.TaskActuationBounds("task-actuation-bounds", robot)
        actuationBoundsTask.setBounds(tau_min, tau_max)
        invdyn.addActuationTask(actuationBoundsTask, cfg.w_torque_bounds, 0, 0.0)
    if cfg.w_joint_bounds > 0.:
        jointBoundsTask = tsid.TaskJointBounds("task-joint-bounds", robot, cfg.IK_dt)
        v_max = cfg.scaling_vel_bounds * robot.model().velocityLimit[-robot.na:]
        v_min = -v_max
        print("v_max : ", v_max)
        jointBoundsTask.setVelocityBounds(v_min, v_max)
        invdyn.addMotionTask(jointBoundsTask, cfg.w_joint_bounds, 0, 0.0)

    solver = tsid.SolverHQuadProg("qp solver")
    solver.resize(invdyn.nVar, invdyn.nEq, invdyn.nIn)

    # time check
    dt = cfg.IK_dt
    logger.info("dt : %f", dt)
    logger.info("tsid initialized, start control loop")
    #raw_input("Enter to start the motion (motion displayed as it's computed, may be slower than real-time)")
    time_start = time.time()

    # For each phases, create the necessary task and references trajectories :
    for pid in range(cs.size()):
        logger.info("## for phase : %d", pid)
        logger.info("t = %f", t)
        # phase_ref contains the reference trajectories and should not be modified exept for new effector trajectories
        # when the first ones was not collision free
        phase_ref = cs_ref.contactPhases[pid]
        # phase de not contains trajectories (exept for the end effectors) and should be modified with the new values computed
        phase = cs.contactPhases[pid]
        if pid > 0:
            phase_prev = cs.contactPhases[pid - 1]
        else:
            phase_prev = None
        if pid < cs.size() - 1:
            phase_next = cs.contactPhases[pid + 1]
        else:
            phase_next = None

        time_interval = [phase_ref.timeInitial, phase_ref.timeFinal]

        logger.info("time_interval %s", time_interval)

        # take CoM and AM trajectory from the phase, with their derivatives
        com_traj = [phase_ref.c_t, phase_ref.dc_t, phase_ref.ddc_t]
        am_traj = [phase_ref.L_t, phase_ref.L_t, phase_ref.dL_t]

        # add root's orientation ref from reference config :
        root_traj = phase_ref.root_t


        # add se3 tasks for end effector when required
        for eeName in phase.effectorsWithTrajectory():
                logger.info("add se3 task for %s", eeName)
                task = dic_effectors_tasks[eeName]
                invdyn.addMotionTask(task, cfg.w_eff, cfg.level_eff, 0.)
                adjustEndEffectorTrajectoryIfNeeded(cfg, phase_ref, robot, invdyn.data(), eeName, effectorMethod)
                logger.info("t interval : %s", time_interval)

        # add newly created contacts :
        new_contacts_names = [] # will store the names of the contact tasks created at this phase
        for eeName in usedEffectors:
            if phase_prev and phase_ref.isEffectorInContact(eeName) and not phase_prev.isEffectorInContact(eeName):
                invdyn.removeTask(dic_effectors_tasks[eeName].name, 0.0)  # remove pin task for this contact
                logger.info("remove se3 effector task : %s", dic_effectors_tasks[eeName].name)
                if logger.isEnabledFor(logging.DEBUG):
                    current_placement = getCurrentEffectorPosition(robot, invdyn.data(), eeName)
                    logger.debug("Current   effector placement : %s", current_placement)
                    logger.debug("Reference effector placement : %s", cs.contactPhases[pid].contactPatch(eeName).placement)
                updateContactPlacement(cs, pid, eeName,
                                       getCurrentEffectorPosition(robot, invdyn.data(), eeName),
                                       cfg.Robot.cType == "_6_DOF")
                contact = createContactForEffector(cfg, invdyn, robot, eeName, phase.contactPatch(eeName))
                new_contacts_names += [contact.name]
                dic_contacts.update({eeName: contact})
                logger.info("Create contact for : %s", eeName)

        # start removing the contact that will be broken in the next phase :
        # (This tell the solver that it should start minimizing the contact force on this contact, and ideally get to 0 at the given time)
        for eeName, contact in dic_contacts.items():
            if phase_next and phase.isEffectorInContact(eeName) and not phase_next.isEffectorInContact(eeName):
                transition_time = phase.duration + dt/2.
                logger.info("\nTime %.3f Start breaking contact %s. transition time : %.3f\n",
                            t, contact.name, transition_time)
                exist = invdyn.removeRigidContact(contact.name, transition_time)
                assert exist, "Try to remove a non existing contact !"

        # Remove all effectors not in contact at this phase,
        # This is required as the block above may not remove the contact exactly at the desired time
        # FIXME: why is it required ? Numerical approximation in the transition_time ?
        for eeName, contact in dic_contacts.items():
            if not phase.isEffectorInContact(eeName):
                exist = invdyn.removeRigidContact(contact.name, 0.)
                if exist:
                    logger.warning("Contact "+eeName+" was not remove after the given transition time.")

        if cfg.WB_STOP_AT_EACH_PHASE:
            input('start simulation')

        # save values at the beginning of the current phase
        q_begin = q.copy()
        v_begin = v.copy()
        phase.q_init = q_begin
        if phase_prev:
            phase_prev.q_final = q_begin
        phaseValid = False
        iter_for_phase = -1
        # iterate until a valid motion for this phase is found (ie. collision free and which respect joint-limits)
        while not phaseValid:
            deletePhaseWBtrajectories(phase) # clean previous invalid trajectories
            t = phase.timeInitial
            k_t = 0
            if iter_for_phase >= 0:
                # reset values to their value at the beginning of the current phase
                q = q_begin.copy()
                v = v_begin.copy()
                simulator.q = q
                simulator.v = v
            iter_for_phase += 1
            logger.info("Start computation for phase %d , t = %f, try number :  %d", pid, t, iter_for_phase)
            # loop to generate states (q,v,a) for the current contact phase :
            while t < phase.timeFinal - (dt / 2.):

                # set traj reference for current time :
                # com
                if comTask:
                    sampleCom = curvesToTSID(com_traj,t)
                    comTask.setReference(sampleCom)

                # am
                if amTask:
                    if cfg.IK_trackAM:
                        sampleAM =  curvesToTSID(am_traj,t)
                    else:
                        sampleAM = tsid.TrajectorySample(3)
                    amTask.setReference(sampleAM)


                # posture
                #print "postural task ref : ",samplePosture.pos()
                if postureTask:
                    postureTask.setReference(samplePosture)

                # root orientation :
                if orientationRootTask:
                    sampleRoot = curveSE3toTSID(root_traj,t)
                    orientationRootTask.setReference(sampleRoot)

                # update weight of regularization tasks for the new contacts:
                if len(new_contacts_names) > 0 :
                    # linearly decrease the weight of the tasks for the newly created contacts
                    u_w_force = (t - phase.timeInitial) / (phase.duration * cfg.w_forceRef_time_ratio)
                    if u_w_force <= 1.:
                        current_w_force = cfg.w_forceRef_init * (1. - u_w_force) + cfg.w_forceRef_end * u_w_force
                        for contact_name in new_contacts_names:
                            success = invdyn.updateRigidContactWeights(contact_name, current_w_force)
                            assert success, "Unable to change the weight of the force regularization task for contact "+contact_name

                logger.debug("### references given : ###")
                logger.debug("com  pos : %s", sampleCom.pos())
                logger.debug("com  vel : %s", sampleCom.vel())
                logger.debug("com  acc : %s", sampleCom.acc())
                if amTask:
                    logger.debug("AM   pos : %s", sampleAM.pos())
                    logger.debug("AM   vel : %s", sampleAM.vel())
                logger.debug("root pos : %s", sampleRoot.pos())
                logger.debug("root vel : %s", sampleRoot.vel())

                # end effector (if they exists)
                for eeName, traj in phase_ref.effectorTrajectories().items():
                    sampleEff = curveSE3toTSID(traj,t,True)
                    dic_effectors_tasks[eeName].setReference(sampleEff)
                    logger.debug("effector %s, pos = %s", eeName, sampleEff.pos())
                    logger.debug("effector %s, vel = %s", eeName, sampleEff.vel())

                logger.debug("previous q = %s", q)
                logger.debug("previous v = %s", v)
                # solve HQP for the current time
                HQPData = invdyn.computeProblemData(t, q, v)
                if t < phase.timeInitial + dt:
                    logger.info("final data for phase %d", pid)
                    if logger.isEnabledFor(logging.INFO):
                        HQPData.print_all()
                sol = solver.solve(HQPData)
                dv = invdyn.getAccelerations(sol)

                storeData(k_t == 0)
                q, v = simulator.simulate(dv)
                t += dt
                k_t += 1
                if t >= phase.timeFinal - (dt / 2.):
                    t = phase.timeFinal # avoid numerical imprecisions

                logger.debug("v = %s", v)
                logger.debug("dv = %s", dv)

                if int(t / dt) % cfg.IK_PRINT_N == 0:
                    printIntermediate()
                try:
                    checkDiverge()
                except ValueError:
                    return stopHere()


            # end while t \in phase_t (loop for the current contact phase)
            if len(phase.effectorsWithTrajectory()) > 0 and cfg.EFF_CHECK_COLLISION:
                phaseValid, t_invalid = validator.check_motion(phase.q_t)
                #if iter_for_phase < 3 :# debug only, force limb-rrt
                #    phaseValid = False
                #    t_invalid = (phase.timeInitial + phase.timeFinal) / 2.
                if not phaseValid:
                    if iter_for_phase == 0:
                        # save the first q_t trajectory computed, for limb-rrt
                        first_q_t = phase.q_t
                    logger.warning("Phase %d not valid at t = %f", pid, t_invalid)
                    logger.info("First invalid q : %s", phase.q_t(t_invalid))
                    if t_invalid <= (phase.timeInitial + cfg.EFF_T_PREDEF) \
                            or t_invalid >= (phase.timeFinal - cfg.EFF_T_PREDEF):
                        logger.error("Motion is invalid during predefined phases, cannot change this.")
                        return stopHere()
                    if effectorCanRetry():
                        logger.warning("Try new end effector trajectory.")
                        try:
                            for eeName, ref_traj in phase_ref.effectorTrajectories().items():
                                placement_init = ref_traj.evaluateAsSE3(phase.timeInitial)
                                placement_end = ref_traj.evaluateAsSE3(phase.timeFinal)
                                traj = effectorMethod(cfg, time_interval, placement_init, placement_end,
                                                                   iter_for_phase + 1, first_q_t, phase_prev,
                                                                   phase_ref, phase_next, fullBody, eeName, viewer)
                                # save the new trajectory in the phase with the references
                                phase_ref.addEffectorTrajectory(eeName,traj)
                                if cfg.DISPLAY_ALL_FEET_TRAJ and logger.isEnabledFor(logging.INFO):
                                    color = fullBody.dict_limb_color_traj[eeName]
                                    color[-1] = 0.6 # set small transparency
                                    display_tools.displaySE3Traj(phase_ref.effectorTrajectory(eeName),
                                                       viewer.client.gui,
                                                       viewer.sceneName,
                                                       eeName + "_traj_" + str(pid) + "_" + str(iter_for_phase),
                                                       color,
                                                       [phase.timeInitial, phase.timeFinal],
                                                       fullBody.dict_offset[eeName])
                        except ValueError as e:
                            logging.error("ERROR in generateEndEffectorTraj :", exc_info=e)
                            return stopHere()
                    else:
                        logging.error("End effector method choosen do not allow retries, abort here.")
                        return stopHere()
            else:  # no effector motions, phase always valid (or bypass the check)
                phaseValid = True
                logging.info("Phase %d valid.", pid)
            if phaseValid:
                setPreviousFinalValues(phase_prev, phase, cfg)
                # display the progress by moving the robot at the last configuration computed
                if viewer and cfg.IK_SHOW_PROGRESS:
                    display_tools.displayWBconfig(viewer,q)
        #end while not phaseValid
    # end for all phases
    # store the data of the last point
    phase_prev = phase
    phase = ContactPhase(phase_prev)
    storeData(True)
    setPreviousFinalValues(phase_prev, phase, cfg)
    time_end = time.time() - time_start
    logger.warning("Whole body motion generated in : %f s.", time_end)
    logger.info("\nFinal COM Position  %s", robot.com(invdyn.data()))
    logger.info("Desired COM Position %s", cs.contactPhases[-1].c_final)
    if queue_qt:
        queue_qt.put([phase.q_t.curve_at_index(phase.q_t.num_curves() - 1), None, True])
    return cs, robot
Beispiel #6
0
    def __init__(self, conf, dt, urdf, modelPath, srdf):
        self.conf = conf
        self.dt = dt
        vector = pin.StdVec_StdString()
        vector.extend(item for item in modelPath)
        self.robot = tsid.RobotWrapper(urdf, vector, pin.JointModelFreeFlyer(),
                                       False)
        robot = self.robot
        self.model = robot.model()
        pin.loadReferenceConfigurations(self.model, srdf, False)
        try:
            self.q0 = conf.q0
            q = np.copy(conf.q0)
        except:
            self.q0 = self.model.referenceConfigurations["half_sitting"]
            q = np.copy(self.q0)
        self.v0 = v = np.zeros(robot.nv)

        assert self.model.existFrame(conf.rf_frame_name)
        assert self.model.existFrame(conf.lf_frame_name)

        formulation = tsid.InverseDynamicsFormulationAccForce(
            "tsid", robot, False)
        formulation.computeProblemData(0.0, q, v)
        data = formulation.data()
        contact_Point = np.ones((3, 4)) * conf.lz
        contact_Point[0, :] = [-conf.lxn, -conf.lxn, conf.lxp, conf.lxp]
        contact_Point[1, :] = [-conf.lyn, conf.lyp, -conf.lyn, conf.lyp]

        contactRF = tsid.Contact6d("contact_rfoot", robot, conf.rf_frame_name,
                                   contact_Point, conf.contact_normal, conf.mu,
                                   conf.fMin, conf.fMax)
        contactRF.setKp(conf.kp_contact * np.ones(6))
        contactRF.setKd(2.0 * np.sqrt(conf.kp_contact) * np.ones(6))
        self.RF = robot.model().getFrameId(conf.rf_frame_name)
        H_rf_ref = robot.framePosition(formulation.data(), self.RF)
        #        print('H RF\n', H_rf_ref.translation)

        # modify initial robot configuration so that foot is on the ground (z=0)
        q[2] -= H_rf_ref.translation[2] + conf.lz
        formulation.computeProblemData(0.0, q, v)
        data = formulation.data()
        H_rf_ref = robot.framePosition(data, self.RF)
        #        print('H RF\n', H_rf_ref)
        contactRF.setReference(H_rf_ref)
        if (conf.w_contact >= 0.0):
            formulation.addRigidContact(contactRF, conf.w_forceRef,
                                        conf.w_contact, 1)
        else:
            formulation.addRigidContact(contactRF, conf.w_forceRef)

        contactLF = tsid.Contact6d("contact_lfoot", robot, conf.lf_frame_name,
                                   contact_Point, conf.contact_normal, conf.mu,
                                   conf.fMin, conf.fMax)
        contactLF.setKp(conf.kp_contact * np.ones(6))
        contactLF.setKd(2.0 * np.sqrt(conf.kp_contact) * np.ones(6))
        self.LF = robot.model().getFrameId(conf.lf_frame_name)
        H_lf_ref = robot.framePosition(formulation.data(), self.LF)
        #        print('H LF\n', H_lf_ref)
        contactLF.setReference(H_lf_ref)
        if (conf.w_contact >= 0.0):
            formulation.addRigidContact(contactLF, conf.w_forceRef,
                                        conf.w_contact, 1)
        else:
            formulation.addRigidContact(contactLF, conf.w_forceRef)

        comTask = tsid.TaskComEquality("task-com", robot)
        comTask.setKp(conf.kp_com * np.ones(3))
        comTask.setKd(2.0 * np.sqrt(conf.kp_com) * np.ones(3))
        if (conf.w_com > 0):
            formulation.addMotionTask(comTask, conf.w_com, 1, 0.0)

        postureTask = tsid.TaskJointPosture("task-posture", robot)
        try:
            postureTask.setKp(conf.kp_posture)
            postureTask.setKd(2.0 * np.sqrt(conf.kp_posture))
        except:
            postureTask.setKp(conf.kp_posture * np.ones(robot.nv - 6))
            postureTask.setKd(2.0 * np.sqrt(conf.kp_posture) *
                              np.ones(robot.nv - 6))
        if (conf.w_posture > 0):
            formulation.addMotionTask(postureTask, conf.w_posture, 1, 0.0)

        self.leftFootTask = tsid.TaskSE3Equality("task-left-foot", self.robot,
                                                 self.conf.lf_frame_name)
        self.leftFootTask.setKp(self.conf.kp_foot * np.ones(6))
        self.leftFootTask.setKd(2.0 * np.sqrt(self.conf.kp_foot) * np.ones(6))
        self.trajLF = tsid.TrajectorySE3Constant("traj-left-foot", H_lf_ref)
        if (conf.w_foot > 0):
            formulation.addMotionTask(self.leftFootTask, self.conf.w_foot, 1,
                                      0.0)
#
        self.rightFootTask = tsid.TaskSE3Equality("task-right-foot",
                                                  self.robot,
                                                  self.conf.rf_frame_name)
        self.rightFootTask.setKp(self.conf.kp_foot * np.ones(6))
        self.rightFootTask.setKd(2.0 * np.sqrt(self.conf.kp_foot) * np.ones(6))
        self.trajRF = tsid.TrajectorySE3Constant("traj-right-foot", H_rf_ref)
        if (conf.w_foot > 0):
            formulation.addMotionTask(self.rightFootTask, self.conf.w_foot, 1,
                                      0.0)

        self.waistTask = tsid.TaskSE3Equality("task-waist", self.robot,
                                              self.conf.waist_frame_name)
        self.waistTask.setKp(self.conf.kp_waist * np.ones(6))
        self.waistTask.setKd(2.0 * np.sqrt(self.conf.kp_waist) * np.ones(6))
        self.waistTask.setMask(np.array([0, 0, 0, 1, 1, 1.]))
        waistID = robot.model().getFrameId(conf.waist_frame_name)
        H_waist_ref = robot.framePosition(formulation.data(), waistID)
        self.trajWaist = tsid.TrajectorySE3Constant("traj-waist", H_waist_ref)
        if (conf.w_waist > 0):
            formulation.addMotionTask(self.waistTask, self.conf.w_waist, 1,
                                      0.0)

        self.tau_max = conf.tau_max_scaling * robot.model(
        ).effortLimit[-robot.na:]
        self.tau_min = -self.tau_max
        actuationBoundsTask = tsid.TaskActuationBounds("task-actuation-bounds",
                                                       robot)
        actuationBoundsTask.setBounds(self.tau_min, self.tau_max)
        if (conf.w_torque_bounds > 0.0):
            formulation.addActuationTask(actuationBoundsTask,
                                         conf.w_torque_bounds, 0, 0.0)

        jointBoundsTask = tsid.TaskJointBounds("task-joint-bounds", robot, dt)
        self.v_max = conf.v_max_scaling * robot.model(
        ).velocityLimit[-robot.na:]
        self.v_min = -self.v_max
        jointBoundsTask.setVelocityBounds(self.v_min, self.v_max)
        if (conf.w_joint_bounds > 0.0):
            formulation.addMotionTask(jointBoundsTask, conf.w_joint_bounds, 0,
                                      0.0)

        com_ref = robot.com(formulation.data())
        self.trajCom = tsid.TrajectoryEuclidianConstant("traj_com", com_ref)
        self.sample_com = self.trajCom.computeNext()

        q_ref = q[7:]
        self.trajPosture = tsid.TrajectoryEuclidianConstant(
            "traj_joint", q_ref)
        postureTask.setReference(self.trajPosture.computeNext())

        self.sampleLF = self.trajLF.computeNext()
        self.sample_LF_pos = self.sampleLF.pos()
        self.sample_LF_vel = self.sampleLF.vel()
        self.sample_LF_acc = self.sampleLF.acc()

        self.sampleRF = self.trajRF.computeNext()
        self.sample_RF_pos = self.sampleRF.pos()
        self.sample_RF_vel = self.sampleRF.vel()
        self.sample_RF_acc = self.sampleRF.acc()

        self.solver = tsid.SolverHQuadProgFast("qp solver")
        self.solver.resize(formulation.nVar, formulation.nEq, formulation.nIn)

        self.comTask = comTask
        self.postureTask = postureTask
        self.contactRF = contactRF
        self.contactLF = contactLF
        self.actuationBoundsTask = actuationBoundsTask
        self.jointBoundsTask = jointBoundsTask
        self.formulation = formulation
        self.q = q
        self.v = v
        self.q0 = np.copy(self.q)

        self.contact_LF_active = True
        self.contact_RF_active = True

        #        self.reset()

        data = np.load(conf.DATA_FILE_TSID)
        # assume dt>dt_ref
        r = int(dt / conf.dt_ref)

        self.N = int(data['com'].shape[1] / r)

        self.contact_phase = data['contact_phase'][::r]
        self.com_pos_ref = np.asarray(data['com'])[:, ::r]
        self.com_vel_ref = np.asarray(data['dcom'])[:, ::r]
        self.com_acc_ref = np.asarray(data['ddcom'])[:, ::r]
        self.x_RF_ref = np.asarray(data['x_RF'])[:, ::r]
        self.dx_RF_ref = np.asarray(data['dx_RF'])[:, ::r]
        self.ddx_RF_ref = np.asarray(data['ddx_RF'])[:, ::r]
        self.x_LF_ref = np.asarray(data['x_LF'])[:, ::r]
        self.dx_LF_ref = np.asarray(data['dx_LF'])[:, ::r]
        self.ddx_LF_ref = np.asarray(data['ddx_LF'])[:, ::r]
        self.cop_ref = np.asarray(data['cop'])[:, ::r]

        x_rf = self.get_placement_RF().translation
        offset = x_rf - self.x_RF_ref[:, 0]
        #        print("offset", offset)
        for i in range(self.N):
            self.com_pos_ref[:, i] += offset
            self.x_RF_ref[:, i] += offset
            self.x_LF_ref[:, i] += offset