Beispiel #1
0
def main():
    np.set_printoptions(precision=4, linewidth=200)
    # np.set_printoptions(precision=4, linewidth=1000, threshold=np.inf)

    pydart.init()
    dartModel = cdm.DartModel(None, None, None, None, 'cart_pole_blade.skel')
    dartMotionModel = cdm.DartModel(None, None, None, None,
                                    'cart_pole_blade.skel')

    footIdlist = list(
        dartMotionModel.skeleton.body('h_' + name).index_in_skeleton()
        for name in ['blade_left', 'blade_right'])
    up_vec_in_each_link = dict()
    for foot_id in footIdlist:
        up_vec_in_each_link[
            foot_id] = dartMotionModel.getBodyOrientationGlobal(foot_id)[1, :]

    pelvis_pos = dartMotionModel.skeleton.dof_indices(
        (["j_pelvis_pos_x", 'j_pelvis_pos_y', 'j_pelvis_pos_z']))
    pelvis_x = dartMotionModel.skeleton.dof_indices((["j_pelvis_rot_x"]))
    pelvis = dartMotionModel.skeleton.dof_indices(
        (["j_pelvis_rot_y", "j_pelvis_rot_z"]))
    upper_body = dartMotionModel.skeleton.dof_indices(
        ["j_abdomen_1", "j_abdomen_2"])
    right_leg = dartMotionModel.skeleton.dof_indices([
        "j_thigh_right_x", "j_thigh_right_y", "j_thigh_right_z", "j_shin_right"
    ])
    left_leg = dartMotionModel.skeleton.dof_indices(
        ["j_thigh_left_x", "j_thigh_left_y", "j_thigh_left_z", "j_shin_left"])
    arms = dartMotionModel.skeleton.dof_indices(
        ["j_bicep_left_x", "j_bicep_right_x"])
    foot = dartMotionModel.skeleton.dof_indices(
        ["j_heel_left_1", "j_heel_left_2", "j_heel_right_1", "j_heel_right_2"])
    leg_y = dartMotionModel.skeleton.dof_indices(
        ["j_thigh_right_y", "j_thigh_left_y"])

    INIT_ANGLE = 0.09

    s0q = np.zeros(dartMotionModel.skeleton.ndofs)
    s0q[pelvis_pos] = 0., .92, 0.
    # s0q[pelvis] = 0., -0.
    # s0q[upper_body] = 0.3, -0.
    s0q[right_leg] = -0., -0., 0.9, -1.5
    s0q[left_leg] = -INIT_ANGLE, 0., 0.0, 0.0
    s0q[foot] = 0., INIT_ANGLE, 0., 0.
    # s0q[right_leg] = -0., -0., 0.2, -.4
    # s0q[left_leg] = -0., 0., 0.2, -.4
    # s0q[foot] = 0.2, 0., 0.2, 0.
    # s0q[leg_y] = -0.785, 0.785
    s0q[arms] = 1.5, -1.5

    dartModel.set_q(s0q)
    dartMotionModel.set_q(s0q)

    frame_step_size = 1. / 40.
    stepsPerFrame = 25
    time_step = dartModel.world.time_step()

    # wcfg.lockingVel = 0.01
    # dartModel.initializeHybridDynamics()

    #controlToMotionOffset = (1.5, -0.02, 0)
    controlToMotionOffset = (0, 0, 2.0)
    dartModel.translateByOffset(controlToMotionOffset)

    totalDOF = dartModel.getTotalDOF()
    DOFs = dartModel.getDOFs()

    # parameter
    Kt = 25.
    Dt = 2. * (Kt**.5)

    Kl = 100.
    Dl = 2. * (Kt**.5)

    Kh = 100.
    Dh = 2. * (Kt**.5)

    Ks = 20000.
    Ds = 2. * (Kt**.5)

    Bt = 1.
    Bl = 0.1
    Bh = 0.13

    supL = dartModel.skeleton.body('h_blade_left').index_in_skeleton()
    supR = dartModel.skeleton.body('h_blade_right').index_in_skeleton()

    selectedBody = dartModel.skeleton.body('h_head').index_in_skeleton()

    # momentum matrix
    linkMasses = dartModel.getBodyMasses()
    print([body.name for body in dartModel.skeleton.bodynodes])
    print(linkMasses)
    totalMass = dartModel.getTotalMass()
    TO = ymt.make_TO(linkMasses)
    dTO = ymt.make_dTO(len(linkMasses))

    # optimization
    problem = yac.LSE(totalDOF, 12)
    #a_sup = (0,0,0, 0,0,0) #ori
    #a_sup = (0,0,0, 0,0,0) #L
    a_supL = (0, 0, 0, 0, 0, 0)
    a_supR = (0, 0, 0, 0, 0, 0)
    a_sup_2 = (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
    CP_old = [mm.v3(0., 0., 0.)]
    CP_des = [None]
    dCP_des = [np.zeros(3)]

    # penalty method
    # bodyIDsToCheck = range(dartModel.getBodyNum())
    bodyIDsToCheck = [supL, supR]
    #mus = [1.]*len(bodyIDsToCheck)
    mus = [.5] * len(bodyIDsToCheck)

    # flat data structure
    # ddth_des_flat = ype.makeFlatList(totalDOF)
    # dth_flat = ype.makeFlatList(totalDOF)
    # ddth_sol = ype.makeNestedList(DOFs)

    config = dict()
    config['weightMap'] = {
        'j_scapula_left': .2,
        'j_bicep_left': .2,
        'j_forearm_left': .2,
        'j_hand_left': .2,
        'j_scapula_right': .2,
        'j_bicep_right': .2,
        'j_forearm_right': .2,
        'j_hand_right': .2,
        'j_abdomen': .6,
        'j_spine': .6,
        'j_head': .6,
        'j_heel_right': .2,
        'j_heel_left': .2,
        'j_pelvis': 0.5,
        'j_thigh_left': 5.,
        'j_shin_left': .5,
        'j_thigh_right': 5.,
        'j_shin_right': .5
    }

    # viewer
    rd_footCenter = [None]
    rd_footCenterL = [None]
    rd_footCenterR = [None]
    rd_CM_plane = [None]
    rd_CM = [None]
    rd_CP = [None]
    rd_CP_des = [None]
    rd_dL_des_plane = [None]
    rd_dH_des = [None]
    rd_grf_des = [None]

    rd_exf_des = [None]
    rd_exfen_des = [None]
    rd_root_des = [None]

    rd_CF = [None]
    rd_CF_pos = [None]

    rootPos = [None]
    selectedBodyId = [selectedBody]
    extraForce = [None]
    extraForcePos = [None]

    rightFootVectorX = [None]
    rightFootVectorY = [None]
    rightFootVectorZ = [None]
    rightFootPos = [None]

    rightVectorX = [None]
    rightVectorY = [None]
    rightVectorZ = [None]
    rightPos = [None]

    # viewer = ysv.SimpleViewer()
    viewer = hsv.hpSimpleViewer(viewForceWnd=False)
    viewer.setMaxFrame(1000)
    #viewer.record(False)
    # viewer.doc.addRenderer('motion', yr.JointMotionRenderer(motion, (0,255,255), yr.LINK_BONE))
    # viewer.doc.addObject('motion', motion)
    # viewer.doc.addRenderer('motionModel', cvr.VpModelRenderer(motionModel, (150,150,255), yr.POLYGON_FILL))
    # viewer.doc.addRenderer('controlModel', cvr.VpModelRenderer(controlModel, (255,240,255), yr.POLYGON_LINE))
    #viewer.doc.addRenderer('controlModel', cvr.VpModelRenderer(controlModel, (255,240,255), yr.POLYGON_FILL))

    viewer.doc.addRenderer(
        'motionModel',
        yr.DartRenderer(dartMotionModel.world, (255, 240, 255),
                        yr.POLYGON_FILL))
    viewer.doc.addRenderer(
        'controlModel',
        yr.DartRenderer(dartModel.world, (150, 150, 255), yr.POLYGON_FILL))
    viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
    viewer.doc.addRenderer('rd_CM_plane',
                           yr.PointsRenderer(rd_CM_plane, (255, 255, 0)))
    viewer.doc.addRenderer('rd_CP', yr.PointsRenderer(rd_CP, (0, 255, 0)))
    viewer.doc.addRenderer('rd_CP_des',
                           yr.PointsRenderer(rd_CP_des, (255, 0, 255)))
    viewer.doc.addRenderer(
        'rd_dL_des_plane',
        yr.VectorsRenderer(rd_dL_des_plane, rd_CM, (255, 255, 0)))
    viewer.doc.addRenderer('rd_dH_des',
                           yr.VectorsRenderer(rd_dH_des, rd_CM, (0, 255, 0)))
    #viewer.doc.addRenderer('rd_grf_des', yr.ForcesRenderer(rd_grf_des, rd_CP_des, (0,255,0), .001))
    viewer.doc.addRenderer('rd_CF',
                           yr.VectorsRenderer(rd_CF, rd_CF_pos, (255, 0, 0)))

    viewer.doc.addRenderer(
        'extraForce', yr.VectorsRenderer(rd_exf_des, extraForcePos,
                                         (0, 255, 0)))
    viewer.doc.addRenderer(
        'extraForceEnable',
        yr.VectorsRenderer(rd_exfen_des, extraForcePos, (255, 0, 0)))

    #viewer.doc.addRenderer('right_foot_oriX', yr.VectorsRenderer(rightFootVectorX, rightFootPos, (255,0,0)))
    #viewer.doc.addRenderer('right_foot_oriY', yr.VectorsRenderer(rightFootVectorY, rightFootPos, (0,255,0)))
    #viewer.doc.addRenderer('right_foot_oriZ', yr.VectorsRenderer(rightFootVectorZ, rightFootPos, (0,0,255)))

    #viewer.doc.addRenderer('right_oriX', yr.VectorsRenderer(rightVectorX, rightPos, (255,0,0)))
    #viewer.doc.addRenderer('right_oriY', yr.VectorsRenderer(rightVectorY, rightPos, (0,255,0)))
    #viewer.doc.addRenderer('right_oriZ', yr.VectorsRenderer(rightVectorZ, rightPos, (0,0,255)))

    #success!!
    #initKt = 50
    #initKl = 10.1
    #initKh = 3.1

    #initBl = .1
    #initBh = .1
    #initSupKt = 21.6

    #initFm = 100.0

    #success!! -- 2015.2.12. double stance
    #initKt = 50
    #initKl = 37.1
    #initKh = 41.8

    #initBl = .1
    #initBh = .13
    #initSupKt = 21.6

    #initFm = 165.0

    #single stance
    #initKt = 25
    #initKl = 80.1
    #initKh = 10.8

    #initBl = .1
    #initBh = .13
    #initSupKt = 21.6

    #initFm = 50.0

    #single stance -> double stance
    #initKt = 25
    #initKl = 60.
    #initKh = 20.

    #initBl = .1
    #initBh = .13
    #initSupKt = 21.6

    #initFm = 50.0

    initKt = 25.
    # initKl = 11.
    # initKh = 22.
    initKl = 100.
    initKh = 100.

    initBl = .1
    initBh = .13
    initSupKt = 17.
    # initSupKt = 2.5

    initFm = 50.0

    initComX = 0.
    initComY = 0.
    initComZ = 0.

    viewer.objectInfoWnd.add1DSlider("Kt", 0., 300., 1., initKt)
    viewer.objectInfoWnd.add1DSlider("Kl", 0., 300., 1., initKl)
    viewer.objectInfoWnd.add1DSlider("Kh", 0., 300., 1., initKh)
    viewer.objectInfoWnd.add1DSlider("Bl", 0., 1., .001, initBl)
    viewer.objectInfoWnd.add1DSlider("Bh", 0., 1., .001, initBh)
    viewer.objectInfoWnd.add1DSlider("SupKt", 0., 100., 0.1, initSupKt)
    viewer.objectInfoWnd.add1DSlider("Fm", 0., 1000., 10., initFm)
    viewer.objectInfoWnd.add1DSlider("com X offset", -1., 1., 0.01, initComX)
    viewer.objectInfoWnd.add1DSlider("com Y offset", -1., 1., 0.01, initComY)
    viewer.objectInfoWnd.add1DSlider("com Z offset", -1., 1., 0.01, initComZ)

    viewer.force_on = False

    def viewer_SetForceState(object):
        viewer.force_on = True

    def viewer_GetForceState():
        return viewer.force_on

    def viewer_ResetForceState():
        viewer.force_on = False

    viewer.objectInfoWnd.addBtn('Force on', viewer_SetForceState)
    viewer_ResetForceState()

    offset = 60

    viewer.objectInfoWnd.begin()
    viewer.objectInfoWnd.labelForceX = Fl_Value_Input(20, 30 + offset * 9, 40,
                                                      20, 'X')
    viewer.objectInfoWnd.labelForceX.value(0)

    viewer.objectInfoWnd.labelForceY = Fl_Value_Input(80, 30 + offset * 9, 40,
                                                      20, 'Y')
    viewer.objectInfoWnd.labelForceY.value(0)

    viewer.objectInfoWnd.labelForceZ = Fl_Value_Input(140, 30 + offset * 9, 40,
                                                      20, 'Z')
    viewer.objectInfoWnd.labelForceZ.value(1)

    viewer.objectInfoWnd.labelForceDur = Fl_Value_Input(
        220, 30 + offset * 9, 40, 20, 'Dur')
    viewer.objectInfoWnd.labelForceDur.value(0.1)

    viewer.objectInfoWnd.end()

    #self.sliderFm = Fl_Hor_Nice_Slider(10, 42+offset*6, 250, 10)

    pdcontroller = PDController(dartModel, dartModel.skeleton,
                                dartModel.world.time_step(), Kt, Dt)

    def getParamVal(paramname):
        return viewer.objectInfoWnd.getVal(paramname)

    def getParamVals(paramnames):
        return (getParamVal(name) for name in paramnames)

    ik_solver = hikd.numIkSolver(dartMotionModel)

    body_num = dartModel.getBodyNum()
    # dJsys = np.zeros((6*body_num, totalDOF))
    # dJsupL = np.zeros((6, totalDOF))
    # dJsupR = np.zeros((6, totalDOF))
    # Jpre = [np.zeros((6*body_num, totalDOF)), np.zeros((6, totalDOF)), np.zeros((6, totalDOF))]

    ###################################
    #simulate
    ###################################
    bodyIDs, contactPositions, contactPositionLocals, contactForces = [], [], [], []

    def simulateCallback(frame):
        # print()
        # print(dartModel.getJointVelocityGlobal(0))
        # print(dartModel.getDOFVelocities()[0])
        # print(dartModel.get_dq()[:6])
        # dartMotionModel.update(motion[frame])

        global g_initFlag
        global forceShowTime

        global preFootCenter
        global maxContactChangeCount
        global contactChangeCount
        global contact
        global contactChangeType
        # print('contactstate:', contact, contactChangeCount)

        Kt, Kl, Kh, Bl, Bh, kt_sup = getParamVals(
            ['Kt', 'Kl', 'Kh', 'Bl', 'Bh', 'SupKt'])
        Dt = 2. * (Kt**.5)
        Dl = (Kl**.5)
        Dh = (Kh**.5)
        dt_sup = 2. * (kt_sup**.5)
        # Dt = .2*(Kt**.5)
        # Dl = .2*(Kl**.5)
        # Dh = .2*(Kh**.5)
        # dt_sup = .2*(kt_sup**.5)

        pdcontroller.setKpKd(Kt, Dt)

        footHeight = dartModel.getBody(supL).shapenodes[0].shape.size()[1] / 2.

        doubleTosingleOffset = 0.15
        singleTodoubleOffset = 0.30

        com_offset_x, com_offset_y, com_offset_z = getParamVals(
            ['com X offset', 'com Y offset', 'com Z offset'])
        footOffset = np.array((com_offset_x, com_offset_y, com_offset_z))

        # tracking
        # th_r = motion.getDOFPositions(frame)
        th_r = dartMotionModel.getDOFPositions()
        th = dartModel.getDOFPositions()
        th_r_flat = dartMotionModel.get_q()
        # dth_r = motion.getDOFVelocities(frame)
        # dth = dartModel.getDOFVelocities()
        # ddth_r = motion.getDOFAccelerations(frame)
        # ddth_des = yct.getDesiredDOFAccelerations(th_r, th, dth_r, dth, ddth_r, Kt, Dt)
        dth_flat = dartModel.get_dq()
        # dth_flat = np.concatenate(dth)
        # ddth_des_flat = pdcontroller.compute(dartMotionModel.get_q())
        # ddth_des_flat = pdcontroller.compute(th_r)
        ddth_des_flat = pdcontroller.compute_flat(th_r_flat)

        # ype.flatten(ddth_des, ddth_des_flat)
        # ype.flatten(dth, dth_flat)

        print(dartModel.skeleton.get_spd_tau(th_r_flat, Kt, Dt))

        #################################################
        # jacobian
        #################################################

        footOriL = dartModel.getJointOrientationGlobal(supL)
        footOriR = dartModel.getJointOrientationGlobal(supR)

        footCenterL = dartModel.getBodyPositionGlobal(supL)
        footCenterR = dartModel.getBodyPositionGlobal(supR)
        footBodyOriL = dartModel.getBodyOrientationGlobal(supL)
        footBodyOriR = dartModel.getBodyOrientationGlobal(supR)
        footBodyVelL = dartModel.getBodyVelocityGlobal(supL)
        footBodyVelR = dartModel.getBodyVelocityGlobal(supR)
        footBodyAngVelL = dartModel.getBodyAngVelocityGlobal(supL)
        footBodyAngVelR = dartModel.getBodyAngVelocityGlobal(supR)

        refFootL = dartMotionModel.getBodyPositionGlobal(supL)
        refFootR = dartMotionModel.getBodyPositionGlobal(supR)
        # refFootAngVelL = motion.getJointAngVelocityGlobal(supL, frame)
        # refFootAngVelR = motion.getJointAngVelocityGlobal(supR, frame)
        refFootAngVelL = np.zeros(3)
        refFootAngVelR = np.zeros(3)

        refFootVelR = np.zeros(3)
        refFootVelL = np.zeros(3)

        contactR = 1
        contactL = 1
        if refFootVelR[1] < 0 and refFootVelR[1] * frame_step_size + refFootR[
                1] > singleTodoubleOffset:
            contactR = 0
        if refFootVelL[1] < 0 and refFootVelL[1] * frame_step_size + refFootL[
                1] > singleTodoubleOffset:
            contactL = 0
        if refFootVelR[1] > 0 and refFootVelR[1] * frame_step_size + refFootR[
                1] > doubleTosingleOffset:
            contactR = 0
        if refFootVelL[1] > 0 and refFootVelL[1] * frame_step_size + refFootL[
                1] > doubleTosingleOffset:
            contactL = 0
        # contactR = 0

        # contMotionOffset = th[0][0] - th_r[0][0]
        # contMotionOffset = dartModel.getBodyPositionGlobal(0) - dartMotionModel.getBodyPositionGlobal(0)
        contMotionOffset = controlToMotionOffset

        linkPositions = dartModel.getBodyPositionsGlobal()
        linkVelocities = dartModel.getBodyVelocitiesGlobal()
        linkAngVelocities = dartModel.getBodyAngVelocitiesGlobal()
        linkInertias = dartModel.getBodyInertiasGlobal()

        CM = dartModel.skeleton.com()
        dCM = dartModel.skeleton.com_velocity()
        CM_plane = copy.copy(CM)
        CM_plane[1] = 0.
        dCM_plane = copy.copy(dCM)
        dCM_plane[1] = 0.

        P = ymt.getPureInertiaMatrix(TO, linkMasses, linkPositions, CM,
                                     linkInertias)
        dP = ymt.getPureInertiaMatrixDerivative(dTO, linkMasses,
                                                linkVelocities, dCM,
                                                linkAngVelocities,
                                                linkInertias)

        #calculate contact state
        #if g_initFlag == 1 and contact == 1 and refFootR[1] < doubleTosingleOffset and footCenterR[1] < 0.08:
        if g_initFlag == 1:
            #contact state
            # 0: flying 1: right only 2: left only 3: double
            #if contact == 2 and refFootR[1] < doubleTosingleOffset:
            if contact == 2 and contactR == 1:
                contact = 3
                maxContactChangeCount += 30
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'StoD'

            #elif contact == 3 and refFootL[1] < doubleTosingleOffset:
            elif contact == 1 and contactL == 1:
                contact = 3
                maxContactChangeCount += 30
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'StoD'

            #elif contact == 3 and refFootR[1] > doubleTosingleOffset:
            elif contact == 3 and contactR == 0:
                contact = 2
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'DtoS'

            #elif contact == 3 and refFootL[1] > doubleTosingleOffset:
            elif contact == 3 and contactL == 0:
                contact = 1
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'DtoS'

            else:
                contact = 0
                #if refFootR[1] < doubleTosingleOffset:
                if contactR == 1:
                    contact += 1
                #if refFootL[1] < doubleTosingleOffset:
                if contactL == 1:
                    contact += 2

        #initialization
        if g_initFlag == 0:
            softConstPoint = footCenterR.copy()

            footCenter = footCenterL + (footCenterR - footCenterL) / 2.0
            footCenter[1] = 0.
            preFootCenter = footCenter.copy()
            #footToBodyFootRotL = np.dot(np.transpose(footOriL), footBodyOriL)
            #footToBodyFootRotR = np.dot(np.transpose(footOriR), footBodyOriR)

            # if refFootR[1] < doubleTosingleOffset:
            #     contact +=1
            # if refFootL[1] < doubleTosingleOffset:
            #     contact +=2
            if refFootR[1] < footHeight:
                contact += 1
            if refFootL[1] < footHeight:
                contact += 2

            g_initFlag = 1

        contact = 2
        # contact = 1 + 2

        # calculate jacobian
        body_num = dartModel.getBodyNum()
        Jsys = np.zeros((6 * body_num, totalDOF))
        dJsys = np.zeros((6 * body_num, totalDOF))
        for i in range(dartModel.getBodyNum()):
            Jsys[6 * i:6 * i +
                 6, :] = dartModel.getBody(i).world_jacobian()[range(-3, 3), :]
            dJsys[6 * i:6 * i + 6, :] = dartModel.getBody(
                i).world_jacobian_classic_deriv()[range(-3, 3), :]

        JsupL = dartModel.getBody(supL).world_jacobian()[range(-3, 3), :]
        dJsupL = dartModel.getBody(supL).world_jacobian_classic_deriv()[
            range(-3, 3), :]

        JsupR = dartModel.getBody(supR).world_jacobian()[range(-3, 3), :]
        dJsupR = dartModel.getBody(supR).world_jacobian_classic_deriv()[
            range(-3, 3), :]

        # calculate footCenter
        footCenter = .5 * (footCenterL + footCenterR) + footOffset
        if contact == 2:
            footCenter = footCenterL.copy() + footOffset
        if contact == 1:
            footCenter = footCenterR.copy() + footOffset
        footCenter[1] = 0.
        footCenter[0] += 0.02

        preFootCenter = footCenter.copy()

        # linear momentum
        # CM_ref_plane = footCenter.copy()
        # CM_ref_plane += np.array([0., 0.9, 0.])
        # dL_des_plane = Kl*totalMass*(CM_ref_plane - CM_plane) - Dl*totalMass*dCM_plane
        # dL_des_plane[1] = 0.

        kl = np.diagflat([Kl * 5., Kl, Kl * 5.])
        dl = np.diagflat([2.2 * Dl, Dl, 2.2 * Dl])

        CM_ref = footCenter.copy()
        CM_ref[1] = dartMotionModel.getCOM()[1] - 0.1
        # CM_ref += np.array((0., com_offset_y, 0.))
        # dL_des_plane = Kl*totalMass*(CM_ref - CM) - Dl*totalMass*dCM
        dL_des_plane = kl.dot(totalMass *
                              (CM_ref - CM)) - dl.dot(totalMass * dCM)

        # angular momentum
        CP_ref = footCenter

        CP = yrp.getCP(contactPositions, contactForces)
        if CP_old[0] is None or CP is None:
            dCP = None
        else:
            dCP = (CP - CP_old[0]) / frame_step_size
        CP_old[0] = CP

        CP_des[0] = None
        # if CP_des[0] is None:
        #     CP_des[0] = footCenter

        if CP is not None and dCP is not None:
            ddCP_des = Kh * (CP_ref - CP) - Dh * (dCP)
            CP_des[0] = CP + dCP * frame_step_size + .5 * ddCP_des * (
                frame_step_size**2)
            dH_des = np.cross(
                CP_des[0] - CM,
                dL_des_plane - totalMass * mm.s2v(dartModel.world.gravity()))
            # dH_des = np.cross(footCenter - CM, dL_des_plane - totalMass*mm.s2v(dartModel.world.gravity()))
            # H = np.dot(P, np.dot(Jsys, dth_flat))
            # dH_des = -Kh * H[3:]
        else:
            dH_des = None

        # set up equality constraint
        a_oriL = mm.logSO3(
            mm.getSO3FromVectors(np.dot(footBodyOriL, np.array([0, 1, 0])),
                                 np.array([0, 1, 0])))
        a_oriR = mm.logSO3(
            mm.getSO3FromVectors(np.dot(footBodyOriR, np.array([0, 1, 0])),
                                 np.array([0, 1, 0])))

        footErrorL = refFootL.copy()
        footErrorL[1] = dartModel.getBody(
            supL).shapenodes[0].shape.size()[1] / 2.
        footErrorL += -footCenterL + contMotionOffset

        footErrorR = refFootR.copy()
        footErrorR[1] = dartModel.getBody(
            supR).shapenodes[0].shape.size()[1] / 2.
        footErrorR += -footCenterR + contMotionOffset

        a_supL = np.append(
            kt_sup * footErrorL + dt_sup * (refFootVelL - footBodyVelL),
            kt_sup * a_oriL + dt_sup * (refFootAngVelL - footBodyAngVelL))
        a_supR = np.append(
            kt_sup * footErrorR + dt_sup * (refFootVelR - footBodyVelR),
            kt_sup * a_oriR + dt_sup * (refFootAngVelR - footBodyAngVelR))

        # momentum matrix
        RS = np.dot(P, Jsys)
        R, S = np.vsplit(RS, 2)

        rs = np.dot((np.dot(dP, Jsys) + np.dot(P, dJsys)), dth_flat)
        r_bias, s_bias = np.hsplit(rs, 2)

        #######################################################
        # optimization
        #######################################################
        if LEG_FLEXIBLE:
            if contact == 2:
                config['weightMap']['j_thigh_right'] = .8
                config['weightMap']['j_shin_right'] = .8
                config['weightMap']['j_heel_right'] = .8
            else:
                config['weightMap']['j_thigh_right'] = .1
                config['weightMap']['j_shin_right'] = .25
                config['weightMap']['j_heel_right'] = .2

            if contact == 1:
                config['weightMap']['j_thigh_left'] = .8
                config['weightMap']['j_shin_left'] = .8
                config['weightMap']['j_heel_left'] = .8
            else:
                config['weightMap']['j_thigh_left'] = .1
                config['weightMap']['j_shin_left'] = .25
                config['weightMap']['j_heel_left'] = .2

        w = mot.getTrackingWeightDart(DOFs, dartModel.skeleton,
                                      config['weightMap'])

        mot.addTrackingTerms(problem, totalDOF, Bt, w, ddth_des_flat)
        mot.addLinearTerms(problem, totalDOF, Bl, dL_des_plane, R, r_bias)
        if dH_des is not None:
            mot.addAngularTerms(problem, totalDOF, Bh, dH_des, S, s_bias)

            if contact & 1:
                mot.addConstraint(problem, totalDOF, JsupR, dJsupR, dth_flat,
                                  a_supR)
            if contact & 2:
                mot.addConstraint(problem, totalDOF, JsupL, dJsupL, dth_flat,
                                  a_supL)

        if contactChangeCount > 0:
            contactChangeCount -= 1
            if contactChangeCount == 0:
                maxContactChangeCount = 30
                contactChangeType = 0

        r = problem.solve()
        problem.clear()
        # ype.nested(r['x'], ddth_sol)
        ddth_sol = np.asarray(r['x'])
        # ddth_sol[:6] = np.zeros(6)
        if dH_des is None:
            ddth_sol = ddth_des_flat

        rootPos[0] = dartModel.getBodyPositionGlobal(selectedBody)
        localPos = [[0, 0, 0]]
        inv_h = 1. / time_step

        _bodyIDs, _contactPositions, _contactPositionLocals, _contactForces = [], [], [], []
        for iii in range(stepsPerFrame):
            _ddq, _tau, _bodyIDs, _contactPositions, _contactPositionLocals, _contactForces = hqp.calc_QP(
                dartModel.skeleton, ddth_sol, inv_h)
            # _ddq, _tau, _bodyIDs, _contactPositions, _contactPositionLocals, _contactForces = hqp.calc_QP(dartModel.skeleton, ddth_des_flat, inv_h)
            # print(frame, i, tau)
            dartModel.applyPenaltyForce(_bodyIDs, _contactPositionLocals,
                                        _contactForces)

            dartModel.skeleton.set_forces(_tau)

            if forceShowTime > viewer.objectInfoWnd.labelForceDur.value():
                forceShowTime = 0
                viewer_ResetForceState()

            forceforce = np.array([
                viewer.objectInfoWnd.labelForceX.value(),
                viewer.objectInfoWnd.labelForceY.value(),
                viewer.objectInfoWnd.labelForceZ.value()
            ])
            extraForce[0] = getParamVal('Fm') * mm.normalize2(forceforce)
            if viewer_GetForceState():
                forceShowTime += time_step
                dartModel.applyPenaltyForce(selectedBodyId, localPos,
                                            extraForce)

            dartModel.step()

        del bodyIDs[:]
        del contactPositions[:]
        del contactPositions[:]
        del contactPositionLocals[:]
        del contactForces[:]
        bodyIDs.extend(_bodyIDs)
        contactPositions.extend(_contactPositions)
        contactPositionLocals.extend(_contactPositionLocals)
        contactForces.extend(_contactForces)

        # rendering
        rightFootVectorX[0] = np.dot(footOriL, np.array([.1, 0, 0]))
        rightFootVectorY[0] = np.dot(footOriL, np.array([0, .1, 0]))
        rightFootVectorZ[0] = np.dot(footOriL, np.array([0, 0, .1]))
        rightFootPos[0] = footCenterL

        rightVectorX[0] = np.dot(footBodyOriL, np.array([.1, 0, 0]))
        rightVectorY[0] = np.dot(footBodyOriL, np.array([0, .1, 0]))
        rightVectorZ[0] = np.dot(footBodyOriL, np.array([0, 0, .1]))
        rightPos[0] = footCenterL + np.array([.1, 0, 0])

        rd_footCenter[0] = footCenter
        rd_footCenterL[0] = footCenterL
        rd_footCenterR[0] = footCenterR

        rd_CM[0] = CM

        rd_CM_plane[0] = CM.copy()
        rd_CM_plane[0][1] = 0.

        if CP is not None and dCP is not None:
            rd_CP[0] = CP
            rd_CP_des[0] = CP_des[0]

            rd_dL_des_plane[0] = [
                dL_des_plane[0] / 100, dL_des_plane[1] / 100,
                dL_des_plane[2] / 100
            ]
            rd_dH_des[0] = dH_des

            rd_grf_des[0] = dL_des_plane - totalMass * mm.s2v(
                dartModel.world.gravity())

        rd_root_des[0] = rootPos[0]

        del rd_CF[:]
        del rd_CF_pos[:]
        for i in range(len(contactPositions)):
            rd_CF.append(contactForces[i] / 100)
            rd_CF_pos.append(contactPositions[i].copy())

        if viewer_GetForceState():
            rd_exfen_des[0] = [
                extraForce[0][0] / 100, extraForce[0][1] / 100,
                extraForce[0][2] / 100
            ]
            rd_exf_des[0] = [0, 0, 0]
        else:
            rd_exf_des[0] = [
                extraForce[0][0] / 100, extraForce[0][1] / 100,
                extraForce[0][2] / 100
            ]
            rd_exfen_des[0] = [0, 0, 0]

        extraForcePos[0] = dartModel.getBodyPositionGlobal(selectedBody)

    viewer.setSimulateCallback(simulateCallback)

    viewer.startTimer(1 / 30.)
    viewer.show()

    Fl.run()
Beispiel #2
0
def main():
    # np.set_printoptions(precision=4, linewidth=200)
    # np.set_printoptions(precision=4, linewidth=1000, threshold=np.inf)
    np.set_printoptions(precision=5,
                        threshold=np.inf,
                        suppress=True,
                        linewidth=3000)

    #motion, mcfg, wcfg, stepsPerFrame, config = mit.create_vchain_5()
    motion, mcfg, wcfg, stepsPerFrame, config, frame_rate = mit.create_biped()
    #motion, mcfg, wcfg, stepsPerFrame, config = mit.create_jump_biped()

    frame_step_size = 1. / frame_rate

    pydart.init()
    dartModel = cdm.DartModel(wcfg, motion[0], mcfg, DART_CONTACT_ON)
    dartMotionModel = cdm.DartModel(wcfg, motion[0], mcfg, DART_CONTACT_ON)

    # wcfg.lockingVel = 0.01
    dartModel.initializeHybridDynamics()

    #controlToMotionOffset = (1.5, -0.02, 0)
    controlToMotionOffset = (1.5, 0, 0)
    dartModel.translateByOffset(controlToMotionOffset)

    totalDOF = dartModel.getTotalDOF()
    DOFs = dartModel.getDOFs()

    # parameter
    Kt = config['Kt']
    Dt = config['Dt']  # tracking gain
    Kl = config['Kl']
    Dl = config['Dl']  # linear balance gain
    Kh = config['Kh']
    Dh = config['Dh']  # angular balance gain
    Ks = config['Ks']
    Ds = config['Ds']  # penalty force spring gain

    Bt = config['Bt']
    Bl = config['Bl']
    Bh = config['Bh']

    w = mot.getTrackingWeight(DOFs, motion[0].skeleton, config['weightMap'])

    supL = motion[0].skeleton.getJointIndex(config['supLink1'])
    supR = motion[0].skeleton.getJointIndex(config['supLink2'])

    selectedBody = motion[0].skeleton.getJointIndex(config['end'])
    constBody = motion[0].skeleton.getJointIndex('RightFoot')

    # momentum matrix
    linkMasses = dartModel.getBodyMasses()
    print([body.name for body in dartModel.skeleton.bodynodes])
    print(linkMasses)
    totalMass = dartModel.getTotalMass()
    TO = ymt.make_TO(linkMasses)
    dTO = ymt.make_dTO(len(linkMasses))

    # optimization
    problem = yac.LSE(totalDOF, 12)
    #a_sup = (0,0,0, 0,0,0) #ori
    #a_sup = (0,0,0, 0,0,0) #L
    a_supL = (0, 0, 0, 0, 0, 0)
    a_supR = (0, 0, 0, 0, 0, 0)
    a_sup_2 = (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
    CP_old = [mm.v3(0., 0., 0.)]
    CP_des = [None]
    dCP_des = [np.zeros(3)]

    # penalty method
    # bodyIDsToCheck = range(dartModel.getBodyNum())
    bodyIDsToCheck = [supL, supR]
    #mus = [1.]*len(bodyIDsToCheck)
    mus = [.5] * len(bodyIDsToCheck)

    # flat data structure
    ddth_des_flat = ype.makeFlatList(totalDOF)
    dth_flat = ype.makeFlatList(totalDOF)
    ddth_sol = ype.makeNestedList(DOFs)

    # viewer
    rd_footCenter = [None]
    rd_footCenterL = [None]
    rd_footCenterR = [None]
    rd_CM_plane = [None]
    rd_CM = [None]
    rd_CP = [None]
    rd_CP_des = [None]
    rd_dL_des_plane = [None]
    rd_dH_des = [None]
    rd_grf_des = [None]

    rd_exf_des = [None]
    rd_exfen_des = [None]
    rd_root_des = [None]

    rd_CF = [None]
    rd_CF_pos = [None]

    rootPos = [None]
    selectedBodyId = [selectedBody]
    extraForce = [None]
    extraForcePos = [None]

    rightFootVectorX = [None]
    rightFootVectorY = [None]
    rightFootVectorZ = [None]
    rightFootPos = [None]

    rightVectorX = [None]
    rightVectorY = [None]
    rightVectorZ = [None]
    rightPos = [None]

    # viewer = ysv.SimpleViewer()
    viewer = hsv.hpSimpleViewer(rect=(100, 100, 1200, 800), viewForceWnd=False)
    #viewer.record(False)
    # viewer.doc.addRenderer('motion', yr.JointMotionRenderer(motion, (0,255,255), yr.LINK_BONE))
    viewer.doc.addObject('motion', motion)
    # viewer.doc.addRenderer('motionModel', cvr.VpModelRenderer(motionModel, (150,150,255), yr.POLYGON_FILL))
    # viewer.doc.addRenderer('controlModel', cvr.VpModelRenderer(controlModel, (255,240,255), yr.POLYGON_LINE))
    #viewer.doc.addRenderer('controlModel', cvr.VpModelRenderer(controlModel, (255,240,255), yr.POLYGON_FILL))

    viewer.doc.addRenderer(
        'motionModel',
        yr.DartModelRenderer(dartMotionModel, (150, 150, 255),
                             yr.POLYGON_FILL))
    # viewer.doc.addRenderer('controlModel', yr.DartModelRenderer(dartModel, (255,240,255), yr.POLYGON_FILL))
    viewer.doc.addRenderer(
        'controlModel',
        yr.DartRenderer(dartModel.world, (255, 240, 255), yr.POLYGON_FILL))
    viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
    viewer.doc.addRenderer('rd_CM_plane',
                           yr.PointsRenderer(rd_CM_plane, (255, 255, 0)))
    viewer.doc.addRenderer('rd_CP', yr.PointsRenderer(rd_CP, (0, 255, 0)))
    viewer.doc.addRenderer('rd_CP_des',
                           yr.PointsRenderer(rd_CP_des, (255, 0, 255)))
    viewer.doc.addRenderer(
        'rd_dL_des_plane',
        yr.VectorsRenderer(rd_dL_des_plane, rd_CM, (255, 255, 0)))
    viewer.doc.addRenderer('rd_dH_des',
                           yr.VectorsRenderer(rd_dH_des, rd_CM, (0, 255, 0)))
    #viewer.doc.addRenderer('rd_grf_des', yr.ForcesRenderer(rd_grf_des, rd_CP_des, (0,255,0), .001))
    viewer.doc.addRenderer('rd_CF',
                           yr.VectorsRenderer(rd_CF, rd_CF_pos, (255, 0, 0)))

    viewer.doc.addRenderer(
        'extraForce', yr.VectorsRenderer(rd_exf_des, extraForcePos,
                                         (0, 255, 0)))
    viewer.doc.addRenderer(
        'extraForceEnable',
        yr.VectorsRenderer(rd_exfen_des, extraForcePos, (255, 0, 0)))

    #viewer.doc.addRenderer('right_foot_oriX', yr.VectorsRenderer(rightFootVectorX, rightFootPos, (255,0,0)))
    #viewer.doc.addRenderer('right_foot_oriY', yr.VectorsRenderer(rightFootVectorY, rightFootPos, (0,255,0)))
    #viewer.doc.addRenderer('right_foot_oriZ', yr.VectorsRenderer(rightFootVectorZ, rightFootPos, (0,0,255)))

    #viewer.doc.addRenderer('right_oriX', yr.VectorsRenderer(rightVectorX, rightPos, (255,0,0)))
    #viewer.doc.addRenderer('right_oriY', yr.VectorsRenderer(rightVectorY, rightPos, (0,255,0)))
    #viewer.doc.addRenderer('right_oriZ', yr.VectorsRenderer(rightVectorZ, rightPos, (0,0,255)))

    #success!!
    #initKt = 50
    #initKl = 10.1
    #initKh = 3.1

    #initBl = .1
    #initBh = .1
    #initSupKt = 21.6

    #initFm = 100.0

    #success!! -- 2015.2.12. double stance
    #initKt = 50
    #initKl = 37.1
    #initKh = 41.8

    #initBl = .1
    #initBh = .13
    #initSupKt = 21.6

    #initFm = 165.0

    #single stance
    #initKt = 25
    #initKl = 80.1
    #initKh = 10.8

    #initBl = .1
    #initBh = .13
    #initSupKt = 21.6

    #initFm = 50.0

    #single stance -> double stance
    #initKt = 25
    #initKl = 60.
    #initKh = 20.

    #initBl = .1
    #initBh = .13
    #initSupKt = 21.6

    #initFm = 50.0

    initKt = 25.
    # initKl = 11.
    # initKh = 22.
    initKl = 100.
    initKh = 100.

    initBl = .1
    initBh = .13
    initSupKt = 17.
    # initSupKt = 2.5

    initFm = 50.0

    initComX = 0.
    initComY = 0.
    initComZ = 0.

    viewer.objectInfoWnd.add1DSlider("Kt", 0., 300., 1., initKt)
    viewer.objectInfoWnd.add1DSlider("Kl", 0., 300., 1., initKl)
    viewer.objectInfoWnd.add1DSlider("Kh", 0., 300., 1., initKh)
    viewer.objectInfoWnd.add1DSlider("Bl", 0., 1., .001, initBl)
    viewer.objectInfoWnd.add1DSlider("Bh", 0., 1., .001, initBh)
    viewer.objectInfoWnd.add1DSlider("SupKt", 0., 100., 0.1, initSupKt)
    viewer.objectInfoWnd.add1DSlider("Fm", 0., 1000., 10., initFm)
    viewer.objectInfoWnd.add1DSlider("com X offset", -1., 1., 0.01, initComX)
    viewer.objectInfoWnd.add1DSlider("com Y offset", -1., 1., 0.01, initComY)
    viewer.objectInfoWnd.add1DSlider("com Z offset", -1., 1., 0.01, initComZ)

    viewer.force_on = False

    def viewer_SetForceState(object):
        viewer.force_on = True

    def viewer_GetForceState():
        return viewer.force_on

    def viewer_ResetForceState():
        viewer.force_on = False

    viewer.objectInfoWnd.addBtn('Force on', viewer_SetForceState)
    viewer_ResetForceState()

    offset = 60

    viewer.objectInfoWnd.begin()
    viewer.objectInfoWnd.labelForceX = Fl_Value_Input(20, 30 + offset * 9, 40,
                                                      20, 'X')
    viewer.objectInfoWnd.labelForceX.value(0)

    viewer.objectInfoWnd.labelForceY = Fl_Value_Input(80, 30 + offset * 9, 40,
                                                      20, 'Y')
    viewer.objectInfoWnd.labelForceY.value(0)

    viewer.objectInfoWnd.labelForceZ = Fl_Value_Input(140, 30 + offset * 9, 40,
                                                      20, 'Z')
    viewer.objectInfoWnd.labelForceZ.value(1)

    viewer.objectInfoWnd.labelForceDur = Fl_Value_Input(
        220, 30 + offset * 9, 40, 20, 'Dur')
    viewer.objectInfoWnd.labelForceDur.value(0.1)

    viewer.objectInfoWnd.end()

    #self.sliderFm = Fl_Hor_Nice_Slider(10, 42+offset*6, 250, 10)

    pdcontroller = PDController(dartModel, dartModel.skeleton, wcfg.timeStep,
                                Kt, Dt)

    def getParamVal(paramname):
        return viewer.objectInfoWnd.getVal(paramname)

    def getParamVals(paramnames):
        return (getParamVal(name) for name in paramnames)

    ik_solver = hikd.numIkSolver(dartMotionModel)

    body_num = dartModel.getBodyNum()

    # dJsys = np.zeros((6*body_num, totalDOF))
    # dJsupL = np.zeros((6, totalDOF))
    # dJsupR = np.zeros((6, totalDOF))
    # Jpre = [np.zeros((6*body_num, totalDOF)), np.zeros((6, totalDOF)), np.zeros((6, totalDOF))]

    ###################################
    #simulate
    ###################################
    def simulateCallback(frame):
        # print()
        # print(dartModel.getJointVelocityGlobal(0))
        # print(dartModel.getDOFVelocities()[0])
        # print(dartModel.get_dq()[:6])
        dartMotionModel.update(motion[frame])

        global g_initFlag
        global forceShowTime

        global preFootCenter
        global maxContactChangeCount
        global contactChangeCount
        global contact
        global contactChangeType
        # print('contactstate:', contact, contactChangeCount)

        Kt, Kl, Kh, Bl, Bh, kt_sup = getParamVals(
            ['Kt', 'Kl', 'Kh', 'Bl', 'Bh', 'SupKt'])
        Dt = 2. * (Kt**.5)
        Dl = (Kl**.5)
        Dh = (Kh**.5)
        dt_sup = 2. * (kt_sup**.5)
        # Dt = .2*(Kt**.5)
        # Dl = .2*(Kl**.5)
        # Dh = .2*(Kh**.5)
        # dt_sup = .2*(kt_sup**.5)

        pdcontroller.setKpKd(Kt, Dt)

        footHeight = dartModel.getBody(supL).shapenodes[0].shape.size()[1] / 2.

        doubleTosingleOffset = 0.15
        singleTodoubleOffset = 0.30
        #doubleTosingleOffset = 0.09
        doubleTosingleVelOffset = 0.0

        com_offset_x, com_offset_y, com_offset_z = getParamVals(
            ['com X offset', 'com Y offset', 'com Z offset'])
        footOffset = np.array((com_offset_x, com_offset_y, com_offset_z))
        des_com = dartMotionModel.getCOM() + footOffset

        footCenterL = dartMotionModel.getBodyPositionGlobal(supL)
        footCenterR = dartMotionModel.getBodyPositionGlobal(supR)
        footBodyOriL = dartMotionModel.getBodyOrientationGlobal(supL)
        footBodyOriR = dartMotionModel.getBodyOrientationGlobal(supR)

        torso_pos = dartMotionModel.getBodyPositionGlobal(4)
        torso_ori = dartMotionModel.getBodyOrientationGlobal(4)

        # tracking
        # th_r = motion.getDOFPositions(frame)
        th_r = dartMotionModel.getDOFPositions()
        th = dartModel.getDOFPositions()
        # th_r_flat = dartMotionModel.get_q()
        dth_r = motion.getDOFVelocities(frame)
        dth = dartModel.getDOFVelocities()
        ddth_r = motion.getDOFAccelerations(frame)
        # dth_flat = dartModel.get_dq()
        dth_flat = np.concatenate(dth)
        # ddth_des_flat = pdcontroller.compute(dartMotionModel.get_q())
        # ddth_des_flat = pdcontroller.compute(th_r)
        # ddth_des_flat = pdcontroller.compute_flat(th_r_flat)

        th = get_th_dart(dartModel.skeleton)
        dth = get_dth_dart(dartModel.skeleton)
        dth_flat = np.concatenate(dth)
        ddth_des = yct.getDesiredDOFAccelerations(th_r, th, dth_r, dth, ddth_r,
                                                  Kt, Dt)
        ype.flatten(ddth_des, ddth_des_flat)
        ype.flatten(dth, dth_flat)

        #################################################
        # jacobian
        #################################################

        footOriL = dartModel.getJointOrientationGlobal(supL)
        footOriR = dartModel.getJointOrientationGlobal(supR)

        footCenterL = dartModel.getBodyPositionGlobal(supL)
        footCenterR = dartModel.getBodyPositionGlobal(supR)
        footBodyOriL = dartModel.getBodyOrientationGlobal(supL)
        footBodyOriR = dartModel.getBodyOrientationGlobal(supR)
        footBodyVelL = dartModel.getBodyVelocityGlobal(supL)
        footBodyVelR = dartModel.getBodyVelocityGlobal(supR)
        footBodyAngVelL = dartModel.getBodyAngVelocityGlobal(supL)
        footBodyAngVelR = dartModel.getBodyAngVelocityGlobal(supR)

        refFootL = dartMotionModel.getBodyPositionGlobal(supL)
        refFootR = dartMotionModel.getBodyPositionGlobal(supR)
        # refFootAngVelL = motion.getJointAngVelocityGlobal(supL, frame)
        # refFootAngVelR = motion.getJointAngVelocityGlobal(supR, frame)
        refFootAngVelL = np.zeros(3)
        refFootAngVelR = np.zeros(3)

        refFootJointVelR = motion.getJointVelocityGlobal(supR, frame)
        refFootJointAngVelR = motion.getJointAngVelocityGlobal(supR, frame)
        refFootJointR = motion.getJointPositionGlobal(supR, frame)
        # refFootVelR = refFootJointVelR + np.cross(refFootJointAngVelR, (refFootR-refFootJointR))
        refFootVelR = np.zeros(3)

        refFootJointVelL = motion.getJointVelocityGlobal(supL, frame)
        refFootJointAngVelL = motion.getJointAngVelocityGlobal(supL, frame)
        refFootJointL = motion.getJointPositionGlobal(supL, frame)
        # refFootVelL = refFootJointVelL + np.cross(refFootJointAngVelL, (refFootL-refFootJointL))
        refFootVelL = np.zeros(3)

        contactR = 1
        contactL = 1
        if refFootVelR[1] < 0 and refFootVelR[1] * frame_step_size + refFootR[
                1] > singleTodoubleOffset:
            contactR = 0
        if refFootVelL[1] < 0 and refFootVelL[1] * frame_step_size + refFootL[
                1] > singleTodoubleOffset:
            contactL = 0
        if refFootVelR[1] > 0 and refFootVelR[1] * frame_step_size + refFootR[
                1] > doubleTosingleOffset:
            contactR = 0
        if refFootVelL[1] > 0 and refFootVelL[1] * frame_step_size + refFootL[
                1] > doubleTosingleOffset:
            contactL = 0
        # contactR = 0

        # contMotionOffset = th[0][0] - th_r[0][0]
        contMotionOffset = dartModel.getBodyPositionGlobal(
            0) - dartMotionModel.getBodyPositionGlobal(0)

        linkPositions = dartModel.getBodyPositionsGlobal()
        linkVelocities = dartModel.getBodyVelocitiesGlobal()
        linkAngVelocities = dartModel.getBodyAngVelocitiesGlobal()
        linkInertias = dartModel.getBodyInertiasGlobal()

        CM = dartModel.skeleton.com()
        dCM = dartModel.skeleton.com_velocity()
        CM_plane = copy.copy(CM)
        CM_plane[1] = 0.
        dCM_plane = copy.copy(dCM)
        dCM_plane[1] = 0.

        P = ymt.getPureInertiaMatrix(TO, linkMasses, linkPositions, CM,
                                     linkInertias)
        dP = ymt.getPureInertiaMatrixDerivative(dTO, linkMasses,
                                                linkVelocities, dCM,
                                                linkAngVelocities,
                                                linkInertias)

        #calculate contact state
        #if g_initFlag == 1 and contact == 1 and refFootR[1] < doubleTosingleOffset and footCenterR[1] < 0.08:
        if g_initFlag == 1:
            #contact state
            # 0: flying 1: right only 2: left only 3: double
            #if contact == 2 and refFootR[1] < doubleTosingleOffset:
            if contact == 2 and contactR == 1:
                contact = 3
                maxContactChangeCount += 30
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'StoD'

            #elif contact == 3 and refFootL[1] < doubleTosingleOffset:
            elif contact == 1 and contactL == 1:
                contact = 3
                maxContactChangeCount += 30
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'StoD'

            #elif contact == 3 and refFootR[1] > doubleTosingleOffset:
            elif contact == 3 and contactR == 0:
                contact = 2
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'DtoS'

            #elif contact == 3 and refFootL[1] > doubleTosingleOffset:
            elif contact == 3 and contactL == 0:
                contact = 1
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'DtoS'

            else:
                contact = 0
                #if refFootR[1] < doubleTosingleOffset:
                if contactR == 1:
                    contact += 1
                #if refFootL[1] < doubleTosingleOffset:
                if contactL == 1:
                    contact += 2

        #initialization
        if g_initFlag == 0:
            softConstPoint = footCenterR.copy()

            footCenter = footCenterL + (footCenterR - footCenterL) / 2.0
            footCenter[1] = 0.
            preFootCenter = footCenter.copy()
            #footToBodyFootRotL = np.dot(np.transpose(footOriL), footBodyOriL)
            #footToBodyFootRotR = np.dot(np.transpose(footOriR), footBodyOriR)

            # if refFootR[1] < doubleTosingleOffset:
            #     contact +=1
            # if refFootL[1] < doubleTosingleOffset:
            #     contact +=2
            if refFootR[1] < footHeight:
                contact += 1
            if refFootL[1] < footHeight:
                contact += 2

            g_initFlag = 1

        # calculate jacobian
        body_num = dartModel.getBodyNum()
        Jsys, dJsysdq = compute_J_dJdq(dartModel.skeleton)

        JsupL = Jsys[6 * supL:6 * supL + 6, :]
        dJsupLdq = dJsysdq[6 * supL:6 * supL + 6]

        JsupR = Jsys[6 * supR:6 * supR + 6, :]
        dJsupRdq = dJsysdq[6 * supR:6 * supR + 6]

        # calculate footCenter
        footCenter = .5 * (footCenterL + footCenterR) + footOffset
        if contact == 2:
            footCenter = footCenterL.copy() + footOffset
        if contact == 1:
            footCenter = footCenterR.copy() + footOffset
        footCenter[1] = 0.

        if contactChangeCount > 0 and contactChangeType == 'StoD':
            #change footcenter gradually
            footCenter = preFootCenter + (
                maxContactChangeCount - contactChangeCount) * (
                    footCenter - preFootCenter) / maxContactChangeCount

        preFootCenter = footCenter.copy()

        # linear momentum
        #TODO:
        # We should consider dCM_ref, shouldn't we?
        # add getBodyPositionGlobal and getBodyPositionsGlobal in csVpModel!
        # todo that, set joint velocities to vpModel

        CM_ref_plane = footCenter
        dL_des_plane = Kl * totalMass * (CM_ref_plane -
                                         CM_plane) - Dl * totalMass * dCM_plane
        dL_des_plane[1] = 0.

        CM_ref = footCenter.copy()
        CM_ref[1] = dartMotionModel.getCOM()[1]
        # CM_ref += np.array((0., com_offset_y, 0.))
        dL_des_plane = Kl * totalMass * (CM_ref - CM) - Dl * totalMass * dCM

        # angular momentum
        CP_ref = footCenter

        bodyIDs, contactPositions, contactPositionLocals, contactForces = [], [], [], []
        if DART_CONTACT_ON:
            bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.get_dart_contact_info(
            )
        else:
            bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.calcPenaltyForce(
                bodyIDsToCheck, mus, Ks, Ds)
        #bodyIDs, contactPositions, contactPositionLocals, contactForces, contactVelocities = vpWorld.calcManyPenaltyForce(0, bodyIDsToCheck, mus, Ks, Ds)

        CP = yrp.getCP(contactPositions, contactForces)
        if CP_old[0] is None or CP is None:
            dCP = None
        else:
            dCP = (CP - CP_old[0]) / frame_step_size
        CP_old[0] = CP

        CP_des[0] = None
        # if CP_des[0] is None:
        #     CP_des[0] = footCenter

        if CP is not None and dCP is not None:
            ddCP_des = Kh * (CP_ref - CP) - Dh * (dCP)
            CP_des[0] = CP + dCP * frame_step_size + .5 * ddCP_des * (
                frame_step_size**2)
            # dCP_des[0] += ddCP_des * frame_step_size
            # CP_des[0] += dCP_des[0] * frame_step_size + .5 * ddCP_des*(frame_step_size ** 2)
            dH_des = np.cross(CP_des[0] - CM,
                              dL_des_plane + totalMass * mm.s2v(wcfg.gravity))
            if contactChangeCount > 0:  # and contactChangeType == 'DtoS':
                #dH_des *= (maxContactChangeCount - contactChangeCount)/(maxContactChangeCount*10)
                dH_des *= (maxContactChangeCount -
                           contactChangeCount) / (maxContactChangeCount)
                #dH_des *= (contactChangeCount)/(maxContactChangeCount)*.9+.1
        else:
            dH_des = None
        # H = np.dot(P, np.dot(Jsys, dth_flat))
        # dH_des = -Kh* H[3:]

        # soft point constraint
        #softConstPoint = refFootR.copy()
        ##softConstPoint[0] += 0.2
        #Ksc = 50
        #Dsc = 2*(Ksc**.5)
        #Bsc = 1.

        #P_des = softConstPoint
        #P_cur = controlModel.getBodyPositionGlobal(constBody)
        #dP_des = [0, 0, 0]
        #dP_cur = controlModel.getBodyVelocityGlobal(constBody)
        #ddP_des1 = Ksc*(P_des - P_cur) + Dsc*(dP_des - dP_cur)

        #r = P_des - P_cur
        #I = np.vstack(([1,0,0],[0,1,0],[0,0,1]))
        #Z = np.hstack((I, mm.getCrossMatrixForm(-r)))

        #yjc.computeJacobian2(Jconst, DOFs, jointPositions, jointAxeses, [softConstPoint], constJointMasks)
        #dJconst = (Jconst - Jconst)/(1/30.)
        #JconstPre = Jconst.copy()
        ##yjc.computeJacobianDerivative2(dJconst, DOFs, jointPositions, jointAxeses, linkAngVelocities, [softConstPoint], constJointMasks, False)

        #JL, JA = np.vsplit(Jconst, 2)
        #Q1 = np.dot(Z, Jconst)

        #q1 = np.dot(JA, dth_flat)
        #q2 = np.dot(mm.getCrossMatrixForm(q1), np.dot(mm.getCrossMatrixForm(q1), r))
        #q_bias1 = np.dot(np.dot(Z, dJconst), dth_flat) + q2

        #set up equality constraint
        a_oriL = mm.logSO3(
            mm.getSO3FromVectors(np.dot(footBodyOriL, np.array([0, 1, 0])),
                                 np.array([0, 1, 0])))
        a_oriR = mm.logSO3(
            mm.getSO3FromVectors(np.dot(footBodyOriR, np.array([0, 1, 0])),
                                 np.array([0, 1, 0])))

        footErrorL = refFootL.copy()
        footErrorL[1] = dartModel.getBody(
            supL).shapenodes[0].shape.size()[1] / 2.
        footErrorL += -footCenterL + contMotionOffset

        footErrorR = refFootR.copy()
        footErrorR[1] = dartModel.getBody(
            supR).shapenodes[0].shape.size()[1] / 2.
        footErrorR += -footCenterR + contMotionOffset

        a_supL = np.append(
            kt_sup * footErrorL + dt_sup * (refFootVelL - footBodyVelL),
            kt_sup * a_oriL + dt_sup * (refFootAngVelL - footBodyAngVelL))
        a_supR = np.append(
            kt_sup * footErrorR + dt_sup * (refFootVelR - footBodyVelR),
            kt_sup * a_oriR + dt_sup * (refFootAngVelR - footBodyAngVelR))

        if contactChangeCount > 0 and contactChangeType == 'DtoS':
            a_supL = np.append(
                kt_sup * (refFootL - footCenterL + contMotionOffset) + dt_sup *
                (refFootVelL - footBodyVelL), 4 * kt_sup * a_oriL +
                2 * dt_sup * (refFootAngVelL - footBodyAngVelL))
            a_supR = np.append(
                kt_sup * (refFootR - footCenterR + contMotionOffset) + dt_sup *
                (refFootVelR - footBodyVelR), 4 * kt_sup * a_oriR +
                2 * dt_sup * (refFootAngVelR - footBodyAngVelR))
        elif contactChangeCount > 0 and contactChangeType == 'StoD':
            linkt = (13. * contactChangeCount) / (maxContactChangeCount) + 1.
            lindt = 2 * (linkt**.5)
            angkt = (13. * contactChangeCount) / (maxContactChangeCount) + 1.
            angdt = 2 * (angkt**.5)
            a_supL = np.append(
                linkt * kt_sup * (refFootL - footCenterL + contMotionOffset) +
                lindt * dt_sup * (refFootVelL - footBodyVelL),
                angkt * kt_sup * a_oriL + angdt * dt_sup *
                (refFootAngVelL - footBodyAngVelL))
            a_supR = np.append(
                linkt * kt_sup * (refFootR - footCenterR + contMotionOffset) +
                lindt * dt_sup * (refFootVelR - footBodyVelR),
                angkt * kt_sup * a_oriR + angdt * dt_sup *
                (refFootAngVelR - footBodyAngVelR))

        # momentum matrix
        RS = np.dot(P, Jsys)
        R, S = np.vsplit(RS, 2)

        # rs = np.dot((np.dot(dP, Jsys) + np.dot(P, dJsys)), dth_flat)
        rs = np.dot(dP, np.dot(Jsys, dth_flat)) + np.dot(P, dJsysdq)
        r_bias, s_bias = np.hsplit(rs, 2)

        #######################################################
        # optimization
        #######################################################
        #if contact == 2 and footCenterR[1] > doubleTosingleOffset/2:
        if contact == 2:
            config['weightMap']['RightUpLeg'] = .8
            config['weightMap']['RightLeg'] = .8
            config['weightMap']['RightFoot'] = .8
        else:
            config['weightMap']['RightUpLeg'] = .1
            config['weightMap']['RightLeg'] = .25
            config['weightMap']['RightFoot'] = .2

        #if contact == 1 and footCenterL[1] > doubleTosingleOffset/2:
        if contact == 1:
            config['weightMap']['LeftUpLeg'] = .8
            config['weightMap']['LeftLeg'] = .8
            config['weightMap']['LeftFoot'] = .8
        else:
            config['weightMap']['LeftUpLeg'] = .1
            config['weightMap']['LeftLeg'] = .25
            config['weightMap']['LeftFoot'] = .2

        w = mot.getTrackingWeight(DOFs, motion[0].skeleton,
                                  config['weightMap'])

        #if contact == 2:
        #mot.addSoftPointConstraintTerms(problem, totalDOF, Bsc, ddP_des1, Q1, q_bias1)
        mot.addTrackingTerms(problem, totalDOF, Bt, w, ddth_des_flat)
        mot.addLinearTerms(problem, totalDOF, Bl, dL_des_plane, R, r_bias)
        if dH_des is not None:
            mot.addAngularTerms(problem, totalDOF, Bh, dH_des, S, s_bias)

            #mot.setConstraint(problem, totalDOF, Jsup, dJsup, dth_flat, a_sup)
            #mot.addConstraint(problem, totalDOF, Jsup, dJsup, dth_flat, a_sup)
            #if contact & 1 and contactChangeCount == 0:
            if contact & 1:
                #if refFootR[1] < doubleTosingleOffset:
                mot.addConstraint2(problem, totalDOF, JsupR, dJsupRdq, a_supR)
            if contact & 2:
                #if refFootL[1] < doubleTosingleOffset:
                mot.addConstraint2(problem, totalDOF, JsupL, dJsupLdq, a_supL)

        if contactChangeCount > 0:
            contactChangeCount -= 1
            if contactChangeCount == 0:
                maxContactChangeCount = 30
                contactChangeType = 0

        r = problem.solve()
        problem.clear()
        # ype.nested(r['x'], ddth_sol)
        ddth_sol = np.asarray(r['x'])
        # ddth_sol[:6] = np.zeros(6)

        rootPos[0] = dartModel.getBodyPositionGlobal(selectedBody)
        localPos = [[0, 0, 0]]

        for i in range(stepsPerFrame):
            # apply penalty force
            if not DART_CONTACT_ON:
                bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.calcPenaltyForce(
                    bodyIDsToCheck, mus, Ks, Ds)
                dartModel.applyPenaltyForce(bodyIDs, contactPositionLocals,
                                            contactForces)

            dartModel.skeleton.set_accelerations(
                ddth_vp_to_dart(dartModel.skeleton, ddth_sol))
            # dartModel.skeleton.set_accelerations(ddth_des_flat)
            # dartModel.skeleton.set_forces(np.zeros(totalDOF))

            if forceShowTime > viewer.objectInfoWnd.labelForceDur.value():
                forceShowTime = 0
                viewer_ResetForceState()

            forceforce = np.array([
                viewer.objectInfoWnd.labelForceX.value(),
                viewer.objectInfoWnd.labelForceY.value(),
                viewer.objectInfoWnd.labelForceZ.value()
            ])
            extraForce[0] = getParamVal('Fm') * mm.normalize2(forceforce)
            if viewer_GetForceState():
                forceShowTime += wcfg.timeStep
                dartModel.applyPenaltyForce(selectedBodyId, localPos,
                                            extraForce)

            dartModel.step()

        if DART_CONTACT_ON:
            bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.get_dart_contact_info(
            )
        else:
            bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.calcPenaltyForce(
                bodyIDsToCheck, mus, Ks, Ds)

        # rendering
        rightFootVectorX[0] = np.dot(footOriL, np.array([.1, 0, 0]))
        rightFootVectorY[0] = np.dot(footOriL, np.array([0, .1, 0]))
        rightFootVectorZ[0] = np.dot(footOriL, np.array([0, 0, .1]))
        rightFootPos[0] = footCenterL

        rightVectorX[0] = np.dot(footBodyOriL, np.array([.1, 0, 0]))
        rightVectorY[0] = np.dot(footBodyOriL, np.array([0, .1, 0]))
        rightVectorZ[0] = np.dot(footBodyOriL, np.array([0, 0, .1]))
        rightPos[0] = footCenterL + np.array([.1, 0, 0])

        rd_footCenter[0] = footCenter
        rd_footCenterL[0] = footCenterL
        rd_footCenterR[0] = footCenterR

        rd_CM[0] = CM

        rd_CM_plane[0] = CM.copy()
        rd_CM_plane[0][1] = 0.

        if CP is not None and dCP is not None:
            rd_CP[0] = CP
            rd_CP_des[0] = CP_des[0]

            rd_dL_des_plane[0] = [
                dL_des_plane[0] / 100, dL_des_plane[1] / 100,
                dL_des_plane[2] / 100
            ]
            rd_dH_des[0] = dH_des

            rd_grf_des[0] = dL_des_plane - totalMass * mm.s2v(wcfg.gravity)

        rd_root_des[0] = rootPos[0]

        del rd_CF[:]
        del rd_CF_pos[:]
        for i in range(len(contactPositions)):
            rd_CF.append(contactForces[i] / 100)
            rd_CF_pos.append(contactPositions[i].copy())

        if viewer_GetForceState():
            rd_exfen_des[0] = [
                extraForce[0][0] / 100, extraForce[0][1] / 100,
                extraForce[0][2] / 100
            ]
            rd_exf_des[0] = [0, 0, 0]
        else:
            rd_exf_des[0] = [
                extraForce[0][0] / 100, extraForce[0][1] / 100,
                extraForce[0][2] / 100
            ]
            rd_exfen_des[0] = [0, 0, 0]

        extraForcePos[0] = dartModel.getBodyPositionGlobal(selectedBody)

    viewer.setSimulateCallback(simulateCallback)

    viewer.startTimer(1 / 30.)
    viewer.show()

    Fl.run()
def main():
    # np.set_printoptions(precision=4, linewidth=200)
    np.set_printoptions(precision=5,
                        threshold=np.inf,
                        suppress=True,
                        linewidth=3000)

    motion, mcfg, wcfg, stepsPerFrame, config, frame_rate = mit.create_biped()
    # motion, mcfg, wcfg, stepsPerFrame, config = mit.create_jump_biped()

    vpWorld = cvw.VpWorld(wcfg)
    motionModel = cvm.VpMotionModel(vpWorld, motion[0], mcfg)
    controlModel = cvm.VpControlModel(vpWorld, motion[0], mcfg)
    controlModel_shadow_for_ik = cvm.VpControlModel(vpWorld, motion[0], mcfg)
    vpWorld.initialize()
    controlModel.initializeHybridDynamics()

    # controlToMotionOffset = (1.5, -0.02, 0)
    controlToMotionOffset = (1.5, 0, 0)
    controlModel.translateByOffset(controlToMotionOffset)
    controlModel_shadow_for_ik.computeJacobian(0, np.array([0., 0., 0.]))

    pydart.init()
    dartModel = cdm.DartModel(wcfg, motion[0], mcfg, DART_CONTACT_ON)
    dartModel.set_q(controlModel.get_q())

    totalDOF = controlModel.getTotalDOF()
    DOFs = controlModel.getDOFs()

    foot_dofs = []
    left_foot_dofs = []
    right_foot_dofs = []

    foot_seg_dofs = []
    left_foot_seg_dofs = []
    right_foot_seg_dofs = []

    # for joint_idx in range(motion[0].skeleton.getJointNum()):
    for joint_idx in range(controlModel.getJointNum()):
        joint_name = controlModel.index2name(joint_idx)
        # joint_name = motion[0].skeleton.getJointName(joint_idx)
        if 'Foot' in joint_name:
            foot_dofs_temp = controlModel.getJointDOFIndexes(joint_idx)
            foot_dofs.extend(foot_dofs_temp)
            if 'Left' in joint_name:
                left_foot_dofs.extend(foot_dofs_temp)
            elif 'Right' in joint_name:
                right_foot_dofs.extend(foot_dofs_temp)

        if 'foot' in joint_name:
            foot_dofs_temp = controlModel.getJointDOFIndexes(joint_idx)
            foot_seg_dofs.extend(foot_dofs_temp)
            if 'Left' in joint_name:
                left_foot_seg_dofs.extend(foot_dofs_temp)
            elif 'Right' in joint_name:
                right_foot_seg_dofs.extend(foot_dofs_temp)

    # parameter
    Kt = config['Kt']
    Dt = config['Dt']  # tracking gain
    Kl = config['Kl']
    Dl = config['Dl']  # linear balance gain
    Kh = config['Kh']
    Dh = config['Dh']  # angular balance gain
    Ks = config['Ks']
    Ds = config['Ds']  # penalty force spring gain

    Bt = config['Bt']
    Bl = config['Bl']
    Bh = config['Bh']

    supL = motion[0].skeleton.getJointIndex(config['supLink1'])
    supR = motion[0].skeleton.getJointIndex(config['supLink2'])

    selectedBody = motion[0].skeleton.getJointIndex(config['end'])
    constBody = motion[0].skeleton.getJointIndex('RightFoot')

    # jacobian
    # JsupL = yjc.makeEmptyJacobian(DOFs, 1)
    # dJsupL = JsupL.copy()
    # JsupPreL = JsupL.copy()
    #
    # JsupR = yjc.makeEmptyJacobian(DOFs, 1)
    # dJsupR = JsupR.copy()
    # JsupPreR = JsupR.copy()

    Jconst = yjc.makeEmptyJacobian(DOFs, 1)
    dJconst = Jconst.copy()
    JconstPre = Jconst.copy()

    Jsys = yjc.makeEmptyJacobian(DOFs, controlModel.getBodyNum())
    dJsys = Jsys.copy()
    JsysPre = Jsys.copy()

    constJointMasks = [yjc.getLinkJointMask(motion[0].skeleton, constBody)]
    allLinkJointMasks = yjc.getAllLinkJointMasks(motion[0].skeleton)

    # momentum matrix
    linkMasses = controlModel.getBodyMasses()
    totalMass = controlModel.getTotalMass()
    TO = ymt.make_TO(linkMasses)
    dTO = ymt.make_dTO(len(linkMasses))

    # optimization
    problem = yac.LSE(totalDOF, 12)
    # a_sup = (0,0,0, 0,0,0) #ori
    # a_sup = (0,0,0, 0,0,0) #L
    CP_old = [mm.v3(0., 0., 0.)]

    # penalty method
    bodyIDsToCheck = list(range(vpWorld.getBodyNum()))
    # mus = [1.]*len(bodyIDsToCheck)
    mus = [.5] * len(bodyIDsToCheck)

    # flat data structure
    ddth_des_flat = ype.makeFlatList(totalDOF)
    dth_flat = ype.makeFlatList(totalDOF)
    ddth_sol = ype.makeNestedList(DOFs)

    # viewer
    rd_footCenter = [None]
    rd_footCenterL = [None]
    rd_footCenterR = [None]
    rd_CM_plane = [None]
    rd_CM = [None]
    rd_CP = [None]
    rd_CP_des = [None]
    rd_dL_des_plane = [None]
    rd_dH_des = [None]
    rd_grf_des = [None]

    rd_exf_des = [None]
    rd_exfen_des = [None]
    rd_root_des = [None]

    rd_CF = [None]
    rd_CF_pos = [None]

    rootPos = [None]
    selectedBodyId = [selectedBody]
    extraForce = [None]
    extraForcePos = [None]

    rightFootVectorX = [None]
    rightFootVectorY = [None]
    rightFootVectorZ = [None]
    rightFootPos = [None]

    rightVectorX = [None]
    rightVectorY = [None]
    rightVectorZ = [None]
    rightPos = [None]

    # viewer = ysv.SimpleViewer()
    viewer = hsv.hpSimpleViewer(rect=[0, 0, 1024, 768], viewForceWnd=False)
    # viewer.record(False)
    # viewer.doc.addRenderer('motion', yr.JointMotionRenderer(motion, (0,255,255), yr.LINK_BONE))
    viewer.doc.addObject('motion', motion)
    viewer.doc.addRenderer(
        'motionModel',
        yr.VpModelRenderer(motionModel, (150, 150, 255), yr.POLYGON_FILL))
    viewer.doc.addRenderer(
        'dartModel',
        yr.DartModelRenderer(dartModel, (150, 150, 255), yr.POLYGON_LINE))
    # viewer.doc.addRenderer('controlModel', cvr.VpModelRenderer(controlModel, (255,240,255), yr.POLYGON_LINE))
    control_model_renderer = yr.VpModelRenderer(controlModel, (255, 240, 255),
                                                yr.POLYGON_FILL)
    viewer.doc.addRenderer('controlModel', control_model_renderer)
    viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
    viewer.doc.addRenderer('rd_CM_plane',
                           yr.PointsRenderer(rd_CM_plane, (255, 255, 0)))
    viewer.doc.addRenderer('rd_CP', yr.PointsRenderer(rd_CP, (0, 255, 0)))
    viewer.doc.addRenderer('rd_CP_des',
                           yr.PointsRenderer(rd_CP_des, (255, 0, 255)))
    viewer.doc.addRenderer(
        'rd_dL_des_plane',
        yr.VectorsRenderer(rd_dL_des_plane, rd_CM, (255, 255, 0)))
    viewer.doc.addRenderer('rd_dH_des',
                           yr.VectorsRenderer(rd_dH_des, rd_CM, (0, 255, 0)))
    # viewer.doc.addRenderer('rd_grf_des', yr.ForcesRenderer(rd_grf_des, rd_CP_des, (0,255,0), .001))
    viewer.doc.addRenderer('rd_CF',
                           yr.VectorsRenderer(rd_CF, rd_CF_pos, (255, 255, 0)))

    viewer.doc.addRenderer(
        'extraForce', yr.VectorsRenderer(rd_exf_des, extraForcePos,
                                         (0, 255, 0)))
    viewer.doc.addRenderer(
        'extraForceEnable',
        yr.VectorsRenderer(rd_exfen_des, extraForcePos, (255, 0, 0)))

    # viewer.doc.addRenderer('right_foot_oriX', yr.VectorsRenderer(rightFootVectorX, rightFootPos, (255,0,0)))
    # viewer.doc.addRenderer('right_foot_oriY', yr.VectorsRenderer(rightFootVectorY, rightFootPos, (0,255,0)))
    # viewer.doc.addRenderer('right_foot_oriZ', yr.VectorsRenderer(rightFootVectorZ, rightFootPos, (0,0,255)))

    # viewer.doc.addRenderer('right_oriX', yr.VectorsRenderer(rightVectorX, rightPos, (255,0,0)))
    # viewer.doc.addRenderer('right_oriY', yr.VectorsRenderer(rightVectorY, rightPos, (0,255,0)))
    # viewer.doc.addRenderer('right_oriZ', yr.VectorsRenderer(rightVectorZ, rightPos, (0,0,255)))

    # foot_viewer = FootWindow(viewer.x() + viewer.w() + 20, viewer.y(), 300, 400, 'foot contact modifier', controlModel)
    foot_viewer = None  # type: FootWindow

    # success!!
    # initKt = 50
    # initKl = 10.1
    # initKh = 3.1

    # initBl = .1
    # initBh = .1
    # initSupKt = 21.6

    # initFm = 100.0

    # success!! -- 2015.2.12. double stance
    # initKt = 50
    # initKl = 37.1
    # initKh = 41.8

    # initBl = .1
    # initBh = .13
    # initSupKt = 21.6

    # initFm = 165.0

    # single stance
    # initKt = 25
    # initKl = 80.1
    # initKh = 10.8

    # initBl = .1
    # initBh = .13
    # initSupKt = 21.6

    # initFm = 50.0

    # single stance -> double stance
    # initKt = 25
    # initKl = 60.
    # initKh = 20.

    # initBl = .1
    # initBh = .13
    # initSupKt = 21.6

    # initFm = 50.0

    initKt = 25
    initKl = 100.
    initKh = 100.

    initBl = .1
    initBh = .13
    initSupKt = 17

    initFm = 50.0

    initComX = 0.
    initComY = 0.
    initComZ = 0.

    viewer.objectInfoWnd.add1DSlider("Kt", 0., 300., 1., initKt)
    viewer.objectInfoWnd.add1DSlider("Kl", 0., 300., 1., initKl)
    viewer.objectInfoWnd.add1DSlider("Kh", 0., 300., 1., initKh)
    viewer.objectInfoWnd.add1DSlider("Bl", 0., 1., .001, initBl)
    viewer.objectInfoWnd.add1DSlider("Bh", 0., 1., .001, initBh)
    viewer.objectInfoWnd.add1DSlider("SupKt", 0., 300., 0.1, initSupKt)
    viewer.objectInfoWnd.add1DSlider("Fm", 0., 1000., 10., initFm)
    viewer.objectInfoWnd.add1DSlider("com X offset", -1., 1., 0.01, initComX)
    viewer.objectInfoWnd.add1DSlider("com Y offset", -1., 1., 0.01, initComY)
    viewer.objectInfoWnd.add1DSlider("com Z offset", -1., 1., 0.01, initComZ)

    viewer.force_on = False

    def viewer_SetForceState(object):
        viewer.force_on = True

    def viewer_GetForceState():
        return viewer.force_on

    def viewer_ResetForceState():
        viewer.force_on = False

    viewer.objectInfoWnd.addBtn('Force on', viewer_SetForceState)
    viewer_ResetForceState()

    offset = 60

    viewer.objectInfoWnd.begin()
    viewer.objectInfoWnd.labelForceX = Fl_Value_Input(20, 30 + offset * 9, 40,
                                                      20, 'X')
    viewer.objectInfoWnd.labelForceX.value(0)

    viewer.objectInfoWnd.labelForceY = Fl_Value_Input(80, 30 + offset * 9, 40,
                                                      20, 'Y')
    viewer.objectInfoWnd.labelForceY.value(0)

    viewer.objectInfoWnd.labelForceZ = Fl_Value_Input(140, 30 + offset * 9, 40,
                                                      20, 'Z')
    viewer.objectInfoWnd.labelForceZ.value(1)

    viewer.objectInfoWnd.labelForceDur = Fl_Value_Input(
        220, 30 + offset * 9, 40, 20, 'Dur')
    viewer.objectInfoWnd.labelForceDur.value(0.1)

    viewer.objectInfoWnd.end()

    # self.sliderFm = Fl_Hor_Nice_Slider(10, 42+offset*6, 250, 10)

    def getParamVal(paramname):
        return viewer.objectInfoWnd.getVal(paramname)

    def getParamVals(paramnames):
        return (getParamVal(name) for name in paramnames)

    extendedFootName = [
        'Foot_foot_0_0', 'Foot_foot_0_1', 'Foot_foot_0_0_0', 'Foot_foot_0_1_0',
        'Foot_foot_1_0'
    ]
    lIDdic = {
        'Left' + name: motion[0].skeleton.getJointIndex('Left' + name)
        for name in extendedFootName
    }
    rIDdic = {
        'Right' + name: motion[0].skeleton.getJointIndex('Right' + name)
        for name in extendedFootName
    }
    footIdDic = lIDdic.copy()
    footIdDic.update(rIDdic)

    lIDlist = [
        motion[0].skeleton.getJointIndex('Left' + name)
        for name in extendedFootName
    ]
    rIDlist = [
        motion[0].skeleton.getJointIndex('Right' + name)
        for name in extendedFootName
    ]
    footIdlist = []
    footIdlist.extend(lIDlist)
    footIdlist.extend(rIDlist)

    foot_left_idx = motion[0].skeleton.getJointIndex('LeftFoot')
    foot_right_idx = motion[0].skeleton.getJointIndex('RightFoot')

    foot_left_idx_temp = motion[0].skeleton.getJointIndex('LeftFoot_foot_1_0')
    foot_right_idx_temp = motion[0].skeleton.getJointIndex(
        'RightFoot_foot_1_0')

    def get_jacobianbase_and_masks(skeleton, DOFs, joint_idx):
        J = yjc.makeEmptyJacobian(DOFs, 1)
        joint_masks = [yjc.getLinkJointMask(skeleton, joint_idx)]

        return J, joint_masks

    ###################################
    # simulate
    ###################################
    def simulateCallback(frame):
        motionModel.update(motion[frame])
        # dartModel.update(motion[frame])
        dartModel.set_q(controlModel.get_q())

        global g_initFlag
        global forceShowTime

        global JsysPre
        global JsupPreL
        global JsupPreR

        global JconstPre

        global preFootCenter
        global maxContactChangeCount
        global contactChangeCount
        global contact
        global contactChangeType

        # Kt, Kl, Kh, Bl, Bh, kt_sup = viewer.GetParam()
        Kt, Kl, Kh, Bl, Bh, kt_sup = getParamVals(
            ['Kt', 'Kl', 'Kh', 'Bl', 'Bh', 'SupKt'])
        Dt = 2 * (Kt**.5)
        Dl = 2 * (Kl**.5)
        Dh = 2 * (Kh**.5)
        dt_sup = 2 * (kt_sup**.5)

        doubleTosingleOffset = 0.15
        singleTodoubleOffset = 0.30
        # doubleTosingleOffset = 0.09
        doubleTosingleVelOffset = 0.0

        # tracking
        # print(len(motion.get_q(frame)))
        # print(motion.get_q(frame))
        # print(motion.get_dq(frame))
        # print(len(controlModel.get_q()))
        # print(controlModel.get_q())
        # print(controlModel.get_dq())
        # print(np.asarray(motion.get_dq(frame)) - np.asarray(controlModel.get_dq()))
        # print(np.asarray(dartModel.get_q())[:6])
        # print(controlModel.get_q()[:6])

        th_r = motion.getDOFPositions(frame)
        th = controlModel.getDOFPositions()
        dth_r = motion.getDOFVelocities(frame)
        dth = controlModel.getDOFVelocities()
        ddth_r = motion.getDOFAccelerations(frame)
        ddth_des = yct.getDesiredDOFAccelerations(th_r, th, dth_r, dth, ddth_r,
                                                  Kt, Dt)

        ype.flatten(ddth_des, ddth_des_flat)
        # ddth_des_flat = Kt * (motion.get_q(frame) - np.array(controlModel.get_q())) - Dt * np.array(controlModel.get_dq())
        ype.flatten(dth, dth_flat)
        # dth_flat = np.array(controlModel.get_dq())

        #################################################
        # jacobian
        #################################################

        contact_ids = list()
        # contact_ids = [supL, supR]
        # contact_ids = footIdlist
        if foot_viewer.check_om_l.value():
            contact_ids.append(
                motion[0].skeleton.getJointIndex('LeftFoot_foot_0_0'))
        if foot_viewer.check_op_l.value():
            contact_ids.append(
                motion[0].skeleton.getJointIndex('LeftFoot_foot_0_0_0'))
        if foot_viewer.check_im_l.value():
            contact_ids.append(
                motion[0].skeleton.getJointIndex('LeftFoot_foot_0_1'))
        if foot_viewer.check_ip_l.value():
            contact_ids.append(
                motion[0].skeleton.getJointIndex('LeftFoot_foot_0_1_0'))
        if foot_viewer.check_h_l.value():
            contact_ids.append(
                motion[0].skeleton.getJointIndex('LeftFoot_foot_1_0'))

        if foot_viewer.check_om_r.value():
            contact_ids.append(
                motion[0].skeleton.getJointIndex('RightFoot_foot_0_0'))
        if foot_viewer.check_op_r.value():
            contact_ids.append(
                motion[0].skeleton.getJointIndex('RightFoot_foot_0_0_0'))
        if foot_viewer.check_im_r.value():
            contact_ids.append(
                motion[0].skeleton.getJointIndex('RightFoot_foot_0_1'))
        if foot_viewer.check_ip_r.value():
            contact_ids.append(
                motion[0].skeleton.getJointIndex('RightFoot_foot_0_1_0'))
        if foot_viewer.check_h_r.value():
            contact_ids.append(
                motion[0].skeleton.getJointIndex('RightFoot_foot_1_0'))

        contact_joint_ori = list(
            map(controlModel.getJointOrientationGlobal, contact_ids))
        contact_joint_pos = list(
            map(controlModel.getJointPositionGlobal, contact_ids))
        contact_body_ori = list(
            map(controlModel.getBodyOrientationGlobal, contact_ids))
        contact_body_pos = list(
            map(controlModel.getBodyPositionGlobal, contact_ids))
        contact_body_vel = list(
            map(controlModel.getBodyVelocityGlobal, contact_ids))
        contact_body_angvel = list(
            map(controlModel.getBodyAngVelocityGlobal, contact_ids))

        ref_joint_ori = list(
            map(motion[frame].getJointOrientationGlobal, contact_ids))
        ref_joint_pos = list(
            map(motion[frame].getJointPositionGlobal, contact_ids))
        ref_joint_vel = [
            motion.getJointVelocityGlobal(joint_idx, frame)
            for joint_idx in contact_ids
        ]
        ref_joint_angvel = [
            motion.getJointAngVelocityGlobal(joint_idx, frame)
            for joint_idx in contact_ids
        ]
        ref_body_ori = list(
            map(motionModel.getBodyOrientationGlobal, contact_ids))
        ref_body_pos = list(map(motionModel.getBodyPositionGlobal,
                                contact_ids))
        # ref_body_vel = list(map(controlModel.getBodyVelocityGlobal, contact_ids))
        ref_body_angvel = [
            motion.getJointAngVelocityGlobal(joint_idx, frame)
            for joint_idx in contact_ids
        ]
        ref_body_vel = [
            ref_joint_vel[i] +
            np.cross(ref_joint_angvel[i], ref_body_pos[i] - ref_joint_pos[i])
            for i in range(len(ref_joint_vel))
        ]

        J_contacts = [
            yjc.makeEmptyJacobian(DOFs, 1) for i in range(len(contact_ids))
        ]
        dJ_contacts = [
            yjc.makeEmptyJacobian(DOFs, 1) for i in range(len(contact_ids))
        ]
        joint_masks = [
            yjc.getLinkJointMask(motion[0].skeleton, joint_idx)
            for joint_idx in contact_ids
        ]

        # caution!! body orientation and joint orientation of foot are totally different!!
        footOriL = controlModel.getJointOrientationGlobal(supL)
        footOriR = controlModel.getJointOrientationGlobal(supR)

        # desire footCenter[1] = 0.041135
        # desire footCenter[1] = 0.0197
        footCenterL = controlModel.getBodyPositionGlobal(supL)
        footCenterR = controlModel.getBodyPositionGlobal(supR)
        footBodyOriL = controlModel.getBodyOrientationGlobal(supL)
        footBodyOriR = controlModel.getBodyOrientationGlobal(supR)
        footBodyVelL = controlModel.getBodyVelocityGlobal(supL)
        footBodyVelR = controlModel.getBodyVelocityGlobal(supR)
        footBodyAngVelL = controlModel.getBodyAngVelocityGlobal(supL)
        footBodyAngVelR = controlModel.getBodyAngVelocityGlobal(supR)

        refFootL = motionModel.getBodyPositionGlobal(supL)
        refFootR = motionModel.getBodyPositionGlobal(supR)
        refFootVelL = motionModel.getBodyVelocityGlobal(supL)
        refFootVelR = motionModel.getBodyVelocityGlobal(supR)
        refFootAngVelL = motionModel.getBodyAngVelocityGlobal(supL)
        refFootAngVelR = motionModel.getBodyAngVelocityGlobal(supR)

        refFootJointVelR = motion.getJointVelocityGlobal(supR, frame)
        refFootJointAngVelR = motion.getJointAngVelocityGlobal(supR, frame)
        refFootJointR = motion.getJointPositionGlobal(supR, frame)
        refFootVelR = refFootJointVelR + np.cross(refFootJointAngVelR,
                                                  (refFootR - refFootJointR))

        refFootJointVelL = motion.getJointVelocityGlobal(supL, frame)
        refFootJointAngVelL = motion.getJointAngVelocityGlobal(supL, frame)
        refFootJointL = motion.getJointPositionGlobal(supL, frame)
        refFootVelL = refFootJointVelL + np.cross(refFootJointAngVelL,
                                                  (refFootL - refFootJointL))

        is_contact = [1] * len(contact_ids)
        contactR = 1
        contactL = 1
        if refFootVelR[1] < 0 and refFootVelR[1] / 30. + refFootR[
                1] > singleTodoubleOffset:
            contactR = 0
        if refFootVelL[1] < 0 and refFootVelL[1] / 30. + refFootL[
                1] > singleTodoubleOffset:
            contactL = 0
        if refFootVelR[1] > 0 and refFootVelR[1] / 30. + refFootR[
                1] > doubleTosingleOffset:
            contactR = 0
        if refFootVelL[1] > 0 and refFootVelL[1] / 30. + refFootL[
                1] > doubleTosingleOffset:
            contactL = 0
        # contactR = 1

        contMotionOffset = th[0][0] - th_r[0][0]

        linkPositions = controlModel.getBodyPositionsGlobal()
        linkVelocities = controlModel.getBodyVelocitiesGlobal()
        linkAngVelocities = controlModel.getBodyAngVelocitiesGlobal()
        linkInertias = controlModel.getBodyInertiasGlobal()

        jointPositions = controlModel.getJointPositionsGlobal()
        jointAxeses = controlModel.getDOFAxeses()

        CM = yrp.getCM(linkPositions, linkMasses, totalMass)
        dCM = yrp.getCM(linkVelocities, linkMasses, totalMass)
        CM_plane = copy.copy(CM)
        CM_plane[1] = 0.
        dCM_plane = copy.copy(dCM)
        dCM_plane[1] = 0.

        P = ymt.getPureInertiaMatrix(TO, linkMasses, linkPositions, CM,
                                     linkInertias)
        dP = ymt.getPureInertiaMatrixDerivative(dTO, linkMasses,
                                                linkVelocities, dCM,
                                                linkAngVelocities,
                                                linkInertias)

        # calculate contact state
        # if g_initFlag == 1 and contact == 1 and refFootR[1] < doubleTosingleOffset and footCenterR[1] < 0.08:
        if g_initFlag == 1:
            # contact state
            # 0: flying 1: right only 2: left only 3: double
            # if contact == 2 and refFootR[1] < doubleTosingleOffset:
            if contact == 2 and contactR == 1:
                contact = 3
                maxContactChangeCount += 30
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'StoD'

            # elif contact == 3 and refFootL[1] < doubleTosingleOffset:
            elif contact == 1 and contactL == 1:
                contact = 3
                maxContactChangeCount += 30
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'StoD'

            # elif contact == 3 and refFootR[1] > doubleTosingleOffset:
            elif contact == 3 and contactR == 0:
                contact = 2
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'DtoS'

            # elif contact == 3 and refFootL[1] > doubleTosingleOffset:
            elif contact == 3 and contactL == 0:
                contact = 1
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'DtoS'
            else:
                contact = 0
                # if refFootR[1] < doubleTosingleOffset:
                if contactR == 1:
                    contact += 1
                # if refFootL[1] < doubleTosingleOffset:
                if contactL == 1:
                    contact += 2

        # initialization
        if g_initFlag == 0:
            # JsysPre = Jsys.copy()
            JconstPre = Jconst.copy()
            softConstPoint = footCenterR.copy()
            # yjc.computeJacobian2(JsysPre, DOFs, jointPositions, jointAxeses, linkPositions, allLinkJointMasks)
            # yjc.computeJacobian2(JconstPre, DOFs, jointPositions, jointAxeses, [softConstPoint], constJointMasks)

            footCenter = footCenterL + (footCenterR - footCenterL) / 2.0
            footCenter[1] = 0.
            preFootCenter = footCenter.copy()
            # footToBodyFootRotL = np.dot(np.transpose(footOriL), footBodyOriL)
            # footToBodyFootRotR = np.dot(np.transpose(footOriR), footBodyOriR)

            if refFootR[1] < doubleTosingleOffset:
                contact += 1
            if refFootL[1] < doubleTosingleOffset:
                contact += 2

            g_initFlag = 1

        # calculate jacobian
        Jsys = yjc.makeEmptyJacobian(DOFs, controlModel.getBodyNum())
        yjc.computeJacobian2(Jsys, DOFs, jointPositions, jointAxeses,
                             linkPositions, allLinkJointMasks)
        dJsys = (Jsys - JsysPre) / (1 / 30.)
        JsysPre = Jsys.copy()
        # # yjc.computeJacobianDerivative2(dJsys, DOFs, jointPositions, jointAxeses, linkAngVelocities, linkPositions, allLinkJointMasks)
        # print(np.dot(Jsys, dth_flat))
        vp_legacy = np.dot(Jsys, dth_flat)
        # print(Jsys)

        # '''
        # calculate jacobian using dart
        body_num = dartModel.getBodyNum()
        Jsys_dart = np.zeros((6 * body_num, totalDOF))
        dJsys_dart = np.zeros((6 * body_num, totalDOF))
        for i in range(dartModel.getBodyNum()):
            # body_i_jacobian = dartModel.getBody(i).world_jacobian()[range(-3, 3), :]
            # body_i_jacobian_deriv = dartModel.getBody(i).world_jacobian_classic_deriv()[range(-3, 3), :]
            # Jsys[6*i:6*i+6, :] = body_i_jacobian
            # dJsys[6*i:6*i+6, :] = body_i_jacobian_deriv
            Jsys_dart[6 * i:6 * i + 6, :] = dartModel.getBody(
                i).world_jacobian()[range(-3, 3), :]
            dJsys_dart[6 * i:6 * i + 6, :] = dartModel.getBody(
                i).world_jacobian_classic_deriv()[range(-3, 3), :]

        # print(np.dot(Jsys, controlModel.get_dq()))
        dart_result = np.dot(Jsys_dart, controlModel.get_dq())
        # print(Jsys)
        # '''

        Jsys_hp = np.zeros_like(Jsys_dart)
        for i in range(len(linkPositions)):
            Jsys_hp[6 * i:6 * i + 6, :] = controlModel.computeJacobian(
                i, linkPositions[i])
        # Jsys = Jsys_hp

        # print('vpJ : ', vp_legacy)
        # print('hpJ : ', np.dot(Jsys_hp, controlModel.get_dq()))
        # print('dart: ', dart_result)
        # print('vp  : ', np.asarray([[controlModel.getBodyVelocityGlobal(i), controlModel.getBodyAngVelocityGlobal(i)] for i in range(controlModel.getBodyNum())]).flatten())

        # print(np.linalg.norm(vp_legacy - dart_result))

        for i in range(len(J_contacts)):
            J_contacts[i] = Jsys[6 * contact_ids[i]:6 * contact_ids[i] + 6, :]
            dJ_contacts[i] = dJsys[6 * contact_ids[i]:6 * contact_ids[i] +
                                   6, :]
            # yjc.computeJacobian2(J_contacts[i], DOFs, jointPositions, jointAxeses, [contact_body_pos[i]], [joint_masks[i]])
            # yjc.computeJacobianDerivative2(
            #     dJ_contacts[i], DOFs, jointPositions, jointAxeses, linkAngVelocities, [contact_body_pos[i]], [joint_masks[i]])

        # calculate footCenter
        footCenter = sum(contact_body_pos) / len(contact_body_pos) if len(contact_body_pos) > 0 \
                        else .5 * (controlModel.getBodyPositionGlobal(supL) + controlModel.getBodyPositionGlobal(supR))
        # if len(contact_body_pos) > 2:
        #     hull = ConvexHull(contact_body_pos)

        footCenter_ref = sum(ref_body_pos) / len(ref_body_pos) if len(ref_body_pos) > 0 \
            else .5 * (motionModel.getBodyPositionGlobal(supL) + motionModel.getBodyPositionGlobal(supR))
        footCenter_ref = footCenter_ref + contMotionOffset
        # if len(ref_body_pos) > 2:
        #     hull = ConvexHull(ref_body_pos)
        footCenter_ref[1] = 0.

        # footCenter = footCenterL + (footCenterR - footCenterL)/2.0
        # if refFootR[1] >doubleTosingleOffset:
        # if refFootR[1] > doubleTosingleOffset or footCenterR[1] > 0.08:
        # if contact == 1 or footCenterR[1] > 0.08:
        # if contact == 2 or footCenterR[1] > doubleTosingleOffset/2:
        if contact == 2:
            footCenter = footCenterL.copy()
        # elif contact == 1 or footCenterL[1] > doubleTosingleOffset/2:
        if contact == 1:
            footCenter = footCenterR.copy()
        footCenter[1] = 0.

        if contactChangeCount > 0 and contactChangeType == 'StoD':
            # change footcenter gradually
            footCenter = preFootCenter + (
                maxContactChangeCount - contactChangeCount) * (
                    footCenter - preFootCenter) / maxContactChangeCount

        preFootCenter = footCenter.copy()

        # linear momentum
        # TODO:
        # We should consider dCM_ref, shouldn't we?
        # add getBodyPositionGlobal and getBodyPositionsGlobal in csVpModel!
        # to do that, set joint velocities to vpModel
        CM_ref_plane = footCenter
        # CM_ref_plane = footCenter_ref
        dL_des_plane = Kl * totalMass * (CM_ref_plane -
                                         CM_plane) - Dl * totalMass * dCM_plane
        # dL_des_plane[1] = 0.

        # angular momentum
        CP_ref = footCenter
        # CP_ref = footCenter_ref
        bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(
            bodyIDsToCheck, mus, Ks, Ds)
        # bodyIDs, contactPositions, contactPositionLocals, contactForces, contactVelocities = vpWorld.calcManyPenaltyForce(0, bodyIDsToCheck, mus, Ks, Ds)
        CP = yrp.getCP(contactPositions, contactForces)
        if CP_old[0] is None or CP is None:
            dCP = None
        else:
            dCP = (CP - CP_old[0]) / (1 / 30.)
        CP_old[0] = CP

        if CP is not None and dCP is not None:
            ddCP_des = Kh * (CP_ref - CP) - Dh * dCP
            CP_des = CP + dCP * (1 / 30.) + .5 * ddCP_des * ((1 / 30.)**2)
            dH_des = np.cross(
                (CP_des - CM),
                (dL_des_plane + totalMass * mm.s2v(wcfg.gravity)))
            if contactChangeCount > 0:  # and contactChangeType == 'DtoS':
                dH_des *= (maxContactChangeCount -
                           contactChangeCount) / maxContactChangeCount
        else:
            dH_des = None

        # set up equality constraint
        # TODO:
        # logSO3 is just q'', not acceleration.
        # To make a_oris acceleration, q'' -> a will be needed
        # body_ddqs = list(map(mm.logSO3, [mm.getSO3FromVectors(np.dot(body_ori, mm.unitY()), mm.unitY()) for body_ori in contact_body_ori]))
        body_ddqs = list(
            map(mm.logSO3, [
                np.dot(
                    contact_body_ori[i].T,
                    np.dot(
                        ref_body_ori[i],
                        mm.getSO3FromVectors(
                            np.dot(ref_body_ori[i], mm.unitY()), mm.unitY())))
                for i in range(len(contact_body_ori))
            ]))
        body_qs = list(map(mm.logSO3, contact_body_ori))
        body_angs = [
            np.dot(contact_body_ori[i], contact_body_angvel[i])
            for i in range(len(contact_body_ori))
        ]
        body_dqs = [
            mm.vel2qd(body_angs[i], body_qs[i]) for i in range(len(body_angs))
        ]
        a_oris = [
            np.dot(contact_body_ori[i],
                   mm.qdd2accel(body_ddqs[i], body_dqs[i], body_qs[i]))
            for i in range(len(contact_body_ori))
        ]

        # body_ddq = body_ddqs[0]
        # body_ori = contact_body_ori[0]
        # body_ang = np.dot(body_ori.T, contact_body_angvel[0])
        #
        # body_q = mm.logSO3(body_ori)
        # body_dq = mm.vel2qd(body_ang, body_q)
        # a_ori = np.dot(body_ori, mm.qdd2accel(body_ddq, body_dq, body_q))

        # a_oris = list(map(mm.logSO3, [mm.getSO3FromVectors(np.dot(body_ori, mm.unitY()), mm.unitY()) for body_ori in contact_body_ori]))
        a_sups = [
            np.append(
                kt_sup *
                (ref_body_pos[i] - contact_body_pos[i] + contMotionOffset) +
                dt_sup * (ref_body_vel[i] - contact_body_vel[i]),
                kt_sup * a_oris[i] + dt_sup *
                (ref_body_angvel[i] - contact_body_angvel[i]))
            for i in range(len(a_oris))
        ]

        # momentum matrix
        RS = np.dot(P, Jsys)
        R, S = np.vsplit(RS, 2)

        rs = np.dot((np.dot(dP, Jsys) + np.dot(P, dJsys)), dth_flat)
        r_bias, s_bias = np.hsplit(rs, 2)

        #######################################################
        # optimization
        #######################################################
        # if contact == 2 and footCenterR[1] > doubleTosingleOffset/2:
        if contact == 2:
            config['weightMap']['RightUpLeg'] = .8
            config['weightMap']['RightLeg'] = .8
            config['weightMap']['RightFoot'] = .8
        else:
            config['weightMap']['RightUpLeg'] = .1
            config['weightMap']['RightLeg'] = .25
            config['weightMap']['RightFoot'] = .2

        # if contact == 1 and footCenterL[1] > doubleTosingleOffset/2:
        if contact == 1:
            config['weightMap']['LeftUpLeg'] = .8
            config['weightMap']['LeftLeg'] = .8
            config['weightMap']['LeftFoot'] = .8
        else:
            config['weightMap']['LeftUpLeg'] = .1
            config['weightMap']['LeftLeg'] = .25
            config['weightMap']['LeftFoot'] = .2

        w = mot.getTrackingWeight(DOFs, motion[0].skeleton,
                                  config['weightMap'])

        # if contact == 2:
        #     mot.addSoftPointConstraintTerms(problem, totalDOF, Bsc, ddP_des1, Q1, q_bias1)

        mot.addTrackingTerms(problem, totalDOF, Bt, w, ddth_des_flat)
        if dH_des is not None:
            mot.addLinearTerms(problem, totalDOF, Bl, dL_des_plane, R, r_bias)
            mot.addAngularTerms(problem, totalDOF, Bh, dH_des, S, s_bias)

            # mot.setConstraint(problem, totalDOF, Jsup, dJsup, dth_flat, a_sup)
            # mot.addConstraint(problem, totalDOF, Jsup, dJsup, dth_flat, a_sup)
            # if contact & 1 and contactChangeCount == 0:
            if True:
                for c_idx in range(len(contact_ids)):
                    mot.addConstraint(problem, totalDOF, J_contacts[c_idx],
                                      dJ_contacts[c_idx], dth_flat,
                                      a_sups[c_idx])

        if contactChangeCount > 0:
            contactChangeCount = contactChangeCount - 1
            if contactChangeCount == 0:
                maxContactChangeCount = 30
                contactChangeType = 0

        r = problem.solve()
        problem.clear()
        ddth_sol_flat = np.asarray(r['x'])
        # ddth_sol_flat[foot_seg_dofs] = np.array(ddth_des_flat)[foot_seg_dofs]
        ype.nested(ddth_sol_flat, ddth_sol)

        rootPos[0] = controlModel.getBodyPositionGlobal(selectedBody)
        localPos = [[0, 0, 0]]

        for i in range(stepsPerFrame):
            # apply penalty force
            bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(
                bodyIDsToCheck, mus, Ks, Ds)
            # bodyIDs, contactPositions, contactPositionLocals, contactForces, contactVelocities = vpWorld.calcManyPenaltyForce(0, bodyIDsToCheck, mus, Ks, Ds)
            vpWorld.applyPenaltyForce(bodyIDs, contactPositionLocals,
                                      contactForces)

            controlModel.setDOFAccelerations(ddth_sol)
            # controlModel.set_ddq(ddth_sol_flat)
            # controlModel.set_ddq(ddth_des_flat)
            controlModel.solveHybridDynamics()

            if forceShowTime > viewer.objectInfoWnd.labelForceDur.value():
                forceShowTime = 0
                viewer_ResetForceState()

            forceforce = np.array([
                viewer.objectInfoWnd.labelForceX.value(),
                viewer.objectInfoWnd.labelForceY.value(),
                viewer.objectInfoWnd.labelForceZ.value()
            ])
            extraForce[0] = getParamVal('Fm') * mm.normalize2(forceforce)
            if viewer_GetForceState():
                forceShowTime += wcfg.timeStep
                vpWorld.applyPenaltyForce(selectedBodyId, localPos, extraForce)

            vpWorld.step()

        dartModel.set_q(controlModel.get_q())

        if foot_viewer is not None:
            foot_viewer.foot_pressure_gl_window.refresh_foot_contact_info(
                frame, vpWorld, bodyIDsToCheck, mus, Ks, Ds)
            foot_viewer.foot_pressure_gl_window.goToFrame(frame)

        # rendering
        for foot_seg_id in footIdlist:
            control_model_renderer.body_colors[foot_seg_id] = (255, 240, 255)

        for contact_id in contact_ids:
            control_model_renderer.body_colors[contact_id] = (255, 0, 0)

        rightFootVectorX[0] = np.dot(footOriL, np.array([.1, 0, 0]))
        rightFootVectorY[0] = np.dot(footOriL, np.array([0, .1, 0]))
        rightFootVectorZ[0] = np.dot(footOriL, np.array([0, 0, .1]))
        rightFootPos[0] = footCenterL

        rightVectorX[0] = np.dot(footBodyOriL, np.array([.1, 0, 0]))
        rightVectorY[0] = np.dot(footBodyOriL, np.array([0, .1, 0]))
        rightVectorZ[0] = np.dot(footBodyOriL, np.array([0, 0, .1]))
        rightPos[0] = footCenterL + np.array([.1, 0, 0])

        rd_footCenter[0] = footCenter
        rd_footCenterL[0] = footCenterL
        rd_footCenterR[0] = footCenterR

        rd_CM[0] = CM

        rd_CM_plane[0] = CM.copy()
        rd_CM_plane[0][1] = 0.

        if CP is not None and dCP is not None:
            rd_CP[0] = CP
            rd_CP_des[0] = CP_des

            rd_dL_des_plane[0] = [
                dL_des_plane[0] / 100, dL_des_plane[1] / 100,
                dL_des_plane[2] / 100
            ]
            rd_dH_des[0] = dH_des

            rd_grf_des[0] = dL_des_plane - totalMass * mm.s2v(wcfg.gravity)

        rd_root_des[0] = rootPos[0]

        del rd_CF[:]
        del rd_CF_pos[:]
        for i in range(len(contactPositions)):
            rd_CF.append(contactForces[i] / 400)
            rd_CF_pos.append(contactPositions[i].copy())

        if viewer_GetForceState():
            rd_exfen_des[0] = [
                extraForce[0][0] / 100, extraForce[0][1] / 100,
                extraForce[0][2] / 100
            ]
            rd_exf_des[0] = [0, 0, 0]
        else:
            rd_exf_des[0] = [
                extraForce[0][0] / 100, extraForce[0][1] / 100,
                extraForce[0][2] / 100
            ]
            rd_exfen_des[0] = [0, 0, 0]

        extraForcePos[0] = controlModel.getBodyPositionGlobal(selectedBody)

        # render contact_ids

    viewer.setSimulateCallback(simulateCallback)
    viewer.startTimer(1 / 30.)
    # viewer.play()
    viewer.show()

    foot_viewer = FootWindow(viewer.x() + viewer.w() + 20, viewer.y(), 300,
                             500, 'foot contact modifier', controlModel)
    foot_viewer.show()

    Fl.run()
Beispiel #4
0
def basicTest3():
    def create_foot(motionFile='foot3.bvh'):
        massMap = {}
        massMap = massMap.fromkeys(['Hips', 'foot00', 'foot01'], 0.)
        massMap['Hips'] = 1.
        massMap['foot00'] = 1.
        massMap['foot01'] = 1.

        # motion
        motion = yf.readBvhFile(motionFile, .05)
        motion.extend([motion[-1]] * 3000)

        # world, model
        mcfg = ypc.ModelConfig()
        mcfg.defaultDensity = 1000.
        mcfg.defaultBoneRatio = 1.
        # for i in range(motion[0].skeleton.getElementNum()):
        #     mcfg.addNode(motion[0].skeleton.getElementName(i))
        for name in massMap:
            node = mcfg.addNode(name)
            node.mass = massMap[name]
        # totalMass += node.mass

        node = mcfg.getNode('Hips')
        # node.geom = 'MyFoot3'
        node.geom = 'MyBox'
        node.jointType = "B"
        # node.length = 1.
        node.mass = 1.

        node = mcfg.getNode('foot00')
        # node.geom = 'MyFoot4'
        node.geom = 'MyBox'
        node.jointType = "U"
        node.mass = 1.

        node = mcfg.getNode('foot01')
        # node.geom = 'MyFoot4'
        node.geom = 'MyBox'
        node.jointType = "U"
        node.mass = 1.

        def mcfgFix(_mcfg):
            """

            :param _mcfg: ypc.ModelConfig
            :return:
            """
            # for v in _mcfg.nodes.itervalues():
            for k, v in _mcfg.nodes:
                if len(v.geoms) == 0:
                    v.geoms.append(v.geom)
                    v.geomMass.append(v.mass)
                    v.geomTs.append(None)

        # mcfgFix(mcfg)

        wcfg = ypc.WorldConfig()
        wcfg.planeHeight = 0.
        wcfg.useDefaultContactModel = False
        stepsPerFrame = 40
        simulSpeedInv = 1.

        wcfg.timeStep = (1 / 30. * simulSpeedInv) / stepsPerFrame

        # parameter
        config = dict([])
        config['Kt'] = 20
        config['Dt'] = 2 * (config['Kt']**.5)  # tracking gain
        config['Kl'] = 1
        config['Dl'] = 2 * (config['Kl']**.5)  # linear balance gain
        config['Kh'] = 1
        config['Dh'] = 2 * (config['Kh']**.5)  # angular balance gain
        config['Ks'] = 5000
        config['Ds'] = 2 * (config['Ks']**.5)  # penalty force spring gain
        config['Bt'] = 1.
        config['Bl'] = 1.
        config['Bh'] = 1.
        config['stepsPerFrame'] = stepsPerFrame
        config['simulSpeedInv'] = simulSpeedInv

        # etc
        config['weightMap'] = {'root': 1., 'foot00': 1., 'foot01': 1.}
        config['weightMapTuple'] = (1., 1., 1.)
        # config['supLink'] = 'link0'

        return motion, mcfg, wcfg, stepsPerFrame, config

    # model setting
    motion, mcfg, wcfg, stpesPerFrame, config = create_foot('test2.bvh')
    pydart.init()
    dartModel = cdm.DartModel(wcfg, motion[0], mcfg)
    q = dartModel.skeleton.q
    q[4] = 2.
    dartModel.skeleton.set_positions(q)
    dartModel.world.set_gravity(np.array((0., -9.81, 0.)))

    # viewer setting
    viewer = hsv.hpSimpleViewer()
    viewer.doc.addObject('motion', motion)
    viewer.doc.addRenderer('dartModel',
                           yr.DartModelRenderer(dartModel, CHARACTER_COLOR))

    jointOrientations = []
    jointPositions = []
    bodyOrientations = []
    bodyPositions = []
    rd_points = []
    viewer.doc.addRenderer(
        'joint coord',
        yr.OrientationsRenderer(jointOrientations, jointPositions))
    viewer.doc.addRenderer(
        'body coord', yr.OrientationsRenderer(bodyOrientations, bodyPositions))
    viewer.doc.addRenderer('contact points',
                           yr.PointsRenderer(rd_points, (255, 0, 0)))

    viewer.objectInfoWnd.add1DSlider('joint1 x torque',
                                     minVal=-2.,
                                     maxVal=2.,
                                     initVal=0.,
                                     valStep=.01)
    viewer.objectInfoWnd.add1DSlider('joint1 y torque',
                                     minVal=-2.,
                                     maxVal=2.,
                                     initVal=0.,
                                     valStep=.01)
    viewer.objectInfoWnd.add1DSlider('joint2 x torque',
                                     minVal=-2.,
                                     maxVal=2.,
                                     initVal=0.,
                                     valStep=.01)
    viewer.objectInfoWnd.add1DSlider('joint2 y torque',
                                     minVal=-2.,
                                     maxVal=2.,
                                     initVal=0.,
                                     valStep=.01)

    bodyIDsToCheck = range(dartModel.getBodyNum())

    def simulateCallback(frame):
        # tau = np.zeros(dartModel.skeleton.q.shape)
        # tau[6] = viewer.objectInfoWnd.getVal('joint1 x torque')
        # tau[7] = viewer.objectInfoWnd.getVal('joint1 y torque')
        # tau[8] = viewer.objectInfoWnd.getVal('joint2 x torque')
        # tau[9] = viewer.objectInfoWnd.getVal('joint2 y torque')
        vel = np.zeros(dartModel.skeleton.velocities().shape)
        vel[6] = viewer.objectInfoWnd.getVal('joint1 x torque')
        vel[7] = viewer.objectInfoWnd.getVal('joint1 y torque')
        vel[8] = viewer.objectInfoWnd.getVal('joint2 x torque')
        vel[9] = viewer.objectInfoWnd.getVal('joint2 y torque')
        # dartModel.skeleton.set_velocities(vel)
        # print mm.logSO3(dartModel.getJoint(2).get_local_transform()[:3, :3])

        for i in range(stpesPerFrame):
            # dartModel.skeleton.set_velocities(vel)
            dartModel.step()

        bodyIDs, contactPositions, contactPositionLocals, velocities = dartModel.getContactPoints(
            bodyIDsToCheck)
        del rd_points[:]
        if contactPositions is not None:
            rd_points.extend(contactPositions)

        del jointOrientations[:]
        del jointPositions[:]
        del bodyOrientations[:]
        del bodyPositions[:]
        for i in range(1, len(dartModel.skeleton.joints)):
            # jointOrientations.append(dartModel.getJoint(i).get_world_frame_before_transform())
            jointOrientations.append(
                dartModel.getJoint(i).get_world_frame_after_transform())
            jointPositions.append(dartModel.getJointPositionGlobal(i))
        for i in range(len(dartModel.skeleton.bodynodes)):
            bodyOrientations.append(dartModel.getBodyOrientationGlobal(i))
            bodyPositions.append(dartModel.getBodyPositionGlobal(i))

    viewer.setSimulateCallback(simulateCallback)

    viewer.startTimer(1 / 30.)
    viewer.show()
    # splineEditor = hse.SplineEditor()
    # splineEditor.show()

    Fl.run()
def main():
    np.set_printoptions(precision=4, linewidth=200)

    motion, mcfg, wcfg, stepsPerFrame, config, frame_rate = mit.create_biped(
        SEGMENT_FOOT, SEGMENT_FOOT_MAG)
    #motion, mcfg, wcfg, stepsPerFrame, config = mit.create_jump_biped()

    # motion_offset = np.array((0, 0.15, 0))
    # motion.translateByOffset(motion_offset, True)

    frame_step_size = 1. / frame_rate

    pydart.init()
    dartModel = cdm.DartModel(wcfg, motion[0], mcfg, DART_CONTACT_ON)
    dartMotionModel = cdm.DartModel(wcfg, motion[0], mcfg, DART_CONTACT_ON)

    # wcfg.lockingVel = 0.01
    dartModel.initializeHybridDynamics()

    # controlToMotionOffset = (1.5, -0.02, 0)
    # controlToMotionOffset = (1.5, 0.15, 0)
    controlToMotionOffset = (1.5, 0.03, 0)
    dartModel.translateByOffset(controlToMotionOffset)

    totalDOF = dartModel.getTotalDOF()
    DOFs = dartModel.getDOFs()

    foot_dofs = []
    left_foot_dofs = []
    right_foot_dofs = []

    foot_seg_dofs = []
    left_foot_seg_dofs = []
    right_foot_seg_dofs = []

    # for joint_idx in range(motion[0].skeleton.getJointNum()):
    for joint_idx in range(dartModel.getJointNum()):
        joint_name = dartModel.getJoint(joint_idx).name
        # joint_name = motion[0].skeleton.getJointName(joint_idx)
        if 'Foot' in joint_name:
            foot_dofs_temp = dartModel.getJointDOFIndexes(joint_idx)
            foot_dofs.extend(foot_dofs_temp)
            if 'Left' in joint_name:
                left_foot_dofs.extend(foot_dofs_temp)
            elif 'Right' in joint_name:
                right_foot_dofs.extend(foot_dofs_temp)

        if 'foot' in joint_name:
            foot_dofs_temp = dartModel.getJointDOFIndexes(joint_idx)
            foot_seg_dofs.extend(foot_dofs_temp)
            if 'Left' in joint_name:
                left_foot_dofs.extend(foot_dofs_temp)
            elif 'Right' in joint_name:
                right_foot_dofs.extend(foot_dofs_temp)

    # for dart_foot_joint in (dartModel.getJoint(i) for i in foot_seg_dofs):
    #     dart_foot_joint.set_actuator_type(pydart.Joint.FORCE)

    # parameter
    # Kt = config['Kt']; Dt = config['Dt'] # tracking gain
    # Kl = config['Kl']; Dl = config['Dl'] # linear balance gain
    # Kh = config['Kh']; Dh = config['Dh'] # angular balance gain
    Ks = config['Ks']
    Ds = config['Ds']  # penalty force spring gain
    #
    Bt = config['Bt']
    # Bl = config['Bl']
    # Bh = config['Bh']

    # w = mot.getTrackingWeight(DOFs, motion[0].skeleton, config['weightMap'])

    supL = motion[0].skeleton.getJointIndex(config['supLink1'])
    supR = motion[0].skeleton.getJointIndex(config['supLink2'])

    selectedBody = motion[0].skeleton.getJointIndex(config['end'])
    constBody = motion[0].skeleton.getJointIndex('RightFoot')

    # momentum matrix
    linkMasses = dartModel.getBodyMasses()
    print([body.name for body in dartModel.skeleton.bodynodes])
    print(linkMasses)
    totalMass = dartModel.getTotalMass()
    TO = ymt.make_TO(linkMasses)
    dTO = ymt.make_dTO(len(linkMasses))

    # optimization
    problem = yac.LSE(totalDOF, 12)
    #a_sup = (0,0,0, 0,0,0) #ori
    #a_sup = (0,0,0, 0,0,0) #L
    # a_supL = (0,0,0, 0,0,0)
    # a_supR = (0,0,0, 0,0,0)
    # a_sup_2 = (0,0,0, 0,0,0, 0,0,0, 0,0,0)
    CP_old = [mm.v3(0., 0., 0.)]
    CP_des = [None]
    dCP_des = [np.zeros(3)]

    # penalty method
    bodyIDsToCheck = range(dartModel.getBodyNum())
    #mus = [1.]*len(bodyIDsToCheck)
    mus = [.5] * len(bodyIDsToCheck)

    # flat data structure
    # ddth_des_flat = ype.makeFlatList(totalDOF)
    # dth_flat = ype.makeFlatList(totalDOF)
    # ddth_sol = ype.makeNestedList(DOFs)

    # viewer
    rd_footCenter = [None]
    rd_footCenterL = [None]
    rd_footCenterR = [None]
    rd_CM_plane = [None]
    rd_CM = [None]
    rd_CP = [None]
    rd_CP_des = [None]
    rd_dL_des_plane = [None]
    rd_dH_des = [None]
    rd_grf_des = [None]

    rd_exf_des = [None]
    rd_exfen_des = [None]
    rd_root_des = [None]

    rd_CF = [None]
    rd_CF_pos = [None]

    rootPos = [None]
    selectedBodyId = [selectedBody]
    extraForce = [None]
    extraForcePos = [None]

    rightFootVectorX = [None]
    rightFootVectorY = [None]
    rightFootVectorZ = [None]
    rightFootPos = [None]

    rightVectorX = [None]
    rightVectorY = [None]
    rightVectorZ = [None]
    rightPos = [None]

    # viewer = ysv.SimpleViewer()
    viewer = hsv.hpSimpleViewer(viewForceWnd=False)
    #viewer.record(False)
    viewer.doc.addRenderer(
        'motion', yr.JointMotionRenderer(motion, (0, 255, 255), yr.LINK_BONE))
    viewer.doc.addObject('motion', motion)
    # viewer.doc.addRenderer('motionModel', cvr.VpModelRenderer(motionModel, (150,150,255), yr.POLYGON_FILL))
    # viewer.doc.addRenderer('controlModel', cvr.VpModelRenderer(controlModel, (255,240,255), yr.POLYGON_LINE))
    #viewer.doc.addRenderer('controlModel', cvr.VpModelRenderer(controlModel, (255,240,255), yr.POLYGON_FILL))

    viewer.doc.addRenderer(
        'motionModel',
        yr.DartModelRenderer(dartMotionModel, (150, 150, 255),
                             yr.POLYGON_FILL))
    viewer.doc.addRenderer(
        'controlModel',
        yr.DartModelRenderer(dartModel, (255, 240, 255), yr.POLYGON_FILL))
    viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
    viewer.doc.addRenderer('rd_CM_plane',
                           yr.PointsRenderer(rd_CM_plane, (255, 255, 0)))
    viewer.doc.addRenderer('rd_CP', yr.PointsRenderer(rd_CP, (0, 255, 0)))
    viewer.doc.addRenderer('rd_CP_des',
                           yr.PointsRenderer(rd_CP_des, (255, 0, 255)))
    viewer.doc.addRenderer(
        'rd_dL_des_plane',
        yr.VectorsRenderer(rd_dL_des_plane, rd_CM, (255, 255, 0)))
    viewer.doc.addRenderer('rd_dH_des',
                           yr.VectorsRenderer(rd_dH_des, rd_CM, (0, 255, 0)))
    #viewer.doc.addRenderer('rd_grf_des', yr.ForcesRenderer(rd_grf_des, rd_CP_des, (0,255,0), .001))
    viewer.doc.addRenderer('rd_CF',
                           yr.VectorsRenderer(rd_CF, rd_CF_pos, (255, 0, 0)))

    viewer.doc.addRenderer(
        'extraForce', yr.VectorsRenderer(rd_exf_des, extraForcePos,
                                         (0, 255, 0)))
    viewer.doc.addRenderer(
        'extraForceEnable',
        yr.VectorsRenderer(rd_exfen_des, extraForcePos, (255, 0, 0)))

    #viewer.doc.addRenderer('right_foot_oriX', yr.VectorsRenderer(rightFootVectorX, rightFootPos, (255,0,0)))
    #viewer.doc.addRenderer('right_foot_oriY', yr.VectorsRenderer(rightFootVectorY, rightFootPos, (0,255,0)))
    #viewer.doc.addRenderer('right_foot_oriZ', yr.VectorsRenderer(rightFootVectorZ, rightFootPos, (0,0,255)))

    #viewer.doc.addRenderer('right_oriX', yr.VectorsRenderer(rightVectorX, rightPos, (255,0,0)))
    #viewer.doc.addRenderer('right_oriY', yr.VectorsRenderer(rightVectorY, rightPos, (0,255,0)))
    #viewer.doc.addRenderer('right_oriZ', yr.VectorsRenderer(rightVectorZ, rightPos, (0,0,255)))

    #success!!
    #initKt = 50
    #initKl = 10.1
    #initKh = 3.1

    #initBl = .1
    #initBh = .1
    #initSupKt = 21.6

    #initFm = 100.0

    #success!! -- 2015.2.12. double stance
    #initKt = 50
    #initKl = 37.1
    #initKh = 41.8

    #initBl = .1
    #initBh = .13
    #initSupKt = 21.6

    #initFm = 165.0

    #single stance
    #initKt = 25
    #initKl = 80.1
    #initKh = 10.8

    #initBl = .1
    #initBh = .13
    #initSupKt = 21.6

    #initFm = 50.0

    #single stance -> double stance
    #initKt = 25
    #initKl = 60.
    #initKh = 20.

    #initBl = .1
    #initBh = .13
    #initSupKt = 21.6

    #initFm = 50.0

    initKt = 25.
    initKl = 100.
    initKh = 100.

    initBl = .1
    initBh = .13
    initSupKt = 17.

    initFm = 50.0

    viewer.objectInfoWnd.add1DSlider("Kt", 0., 300., 1., initKt)
    viewer.objectInfoWnd.add1DSlider("Kl", 0., 300., 1., initKl)
    viewer.objectInfoWnd.add1DSlider("Kh", 0., 300., 1., initKh)
    viewer.objectInfoWnd.add1DSlider("Bl", 0., 1., .001, initBl)
    viewer.objectInfoWnd.add1DSlider("Bh", 0., 1., .001, initBh)
    viewer.objectInfoWnd.add1DSlider("SupKt", 0., 100., 0.1, initSupKt)
    viewer.objectInfoWnd.add1DSlider("Fm", 0., 1000., 10., initFm)

    # viewer.objectInfoWnd.labelKt.value(initKt)
    # viewer.objectInfoWnd.labelKl.value(initKl)
    # viewer.objectInfoWnd.labelKh.value(initKh)
    # viewer.objectInfoWnd.labelBl.value(initBl)
    # viewer.objectInfoWnd.labelBh.value(initBh)
    # viewer.objectInfoWnd.labelSupKt.value(initSupKt)
    # viewer.objectInfoWnd.labelFm.value(initFm)
    #
    # viewer.objectInfoWnd.sliderKt.value(initKt*50)
    # viewer.objectInfoWnd.sliderKl.value(initKl*10)
    # viewer.objectInfoWnd.sliderKh.value(initKh*10)
    # viewer.objectInfoWnd.sliderBl.value(initBl*100)
    # viewer.objectInfoWnd.sliderBh.value(initBh*100)
    # viewer.objectInfoWnd.sliderSupKt.value(initSupKt*10)
    # viewer.objectInfoWnd.sliderFm.value(initFm)

    viewer.force_on = False

    def viewer_SetForceState(obj):
        viewer.force_on = True

    def viewer_GetForceState():
        return viewer.force_on

    def viewer_ResetForceState():
        viewer.force_on = False

    viewer.objectInfoWnd.addBtn('Force on', viewer_SetForceState)
    viewer_ResetForceState()

    offset = 60

    viewer.objectInfoWnd.begin()
    viewer.objectInfoWnd.labelForceX = Fl_Value_Input(20, 30 + offset * 7, 40,
                                                      20, 'X')
    viewer.objectInfoWnd.labelForceX.value(0)

    viewer.objectInfoWnd.labelForceY = Fl_Value_Input(80, 30 + offset * 7, 40,
                                                      20, 'Y')
    viewer.objectInfoWnd.labelForceY.value(0)

    viewer.objectInfoWnd.labelForceZ = Fl_Value_Input(140, 30 + offset * 7, 40,
                                                      20, 'Z')
    viewer.objectInfoWnd.labelForceZ.value(1)

    viewer.objectInfoWnd.labelForceDur = Fl_Value_Input(
        220, 30 + offset * 7, 40, 20, 'Dur')
    viewer.objectInfoWnd.labelForceDur.value(0.1)

    viewer.objectInfoWnd.end()

    #self.sliderFm = Fl_Hor_Nice_Slider(10, 42+offset*6, 250, 10)

    pdcontroller = PDController(dartModel, dartModel.skeleton, wcfg.timeStep,
                                16., 8.)

    def getParamVal(paramname):
        return viewer.objectInfoWnd.getVal(paramname)

    def getParamVals(paramnames):
        return (getParamVal(name) for name in paramnames)

    extendedFootName = [
        'Foot_foot_0_0', 'Foot_foot_0_1', 'Foot_foot_0_0_0', 'Foot_foot_0_1_0',
        'Foot_foot_1_0', 'Foot_foot_1_1', 'Foot_foot_1_2'
    ]
    lIDdic = {
        'Left' + name: motion[0].skeleton.getJointIndex('Left' + name)
        for name in extendedFootName
    }
    rIDdic = {
        'Right' + name: motion[0].skeleton.getJointIndex('Right' + name)
        for name in extendedFootName
    }
    footIdDic = lIDdic.copy()
    footIdDic.update(rIDdic)

    foot_left_idx = motion[0].skeleton.getJointIndex('LeftFoot')
    foot_right_idx = motion[0].skeleton.getJointIndex('RightFoot')

    ###################################
    #simulate
    ###################################
    def simulateCallback(frame):

        global g_initFlag
        global forceShowTime

        global preFootCenter
        global maxContactChangeCount
        global contactChangeCount
        global contact
        global contactChangeType

        Kt, Kl, Kh, Bl, Bh, kt_sup = getParamVals(
            ['Kt', 'Kl', 'Kh', 'Bl', 'Bh', 'SupKt'])
        Dt = 2. * (Kt**.5)
        Dl = 2. * (Kl**.5)
        Dh = 2. * (Kh**.5)
        dt_sup = 2. * (kt_sup**.5)
        # Dt = .2*(Kt**.5)
        # Dl = .2*(Kl**.5)
        # Dh = .2*(Kh**.5)
        # dt_sup = .2*(kt_sup**.5)

        pdcontroller.setKpKd(Kt, Dt)

        doubleTosingleOffset = 0.15
        singleTodoubleOffset = 0.30
        #doubleTosingleOffset = 0.09
        doubleTosingleVelOffset = 0.0

        # tracking
        # th_r = motion.getDOFPositions(frame)
        # th = dartModel.getDOFPositions()
        # dth_r = motion.getDOFVelocities(frame)
        # dth = dartModel.getDOFVelocities()
        # ddth_r = motion.getDOFAccelerations(frame)
        # ddth_des = yct.getDesiredDOFAccelerations(th_r, th, dth_r, dth, ddth_r, Kt, Dt)
        dth_flat = dartModel.get_dq()

        # ype.flatten(ddth_des, ddth_des_flat)
        # ype.flatten(dth, dth_flat)

        #################################################
        # jacobian
        #################################################

        #caution!! body orientation and joint orientation of foot are totally different!!
        footOriL = dartModel.getJointOrientationGlobal(supL)
        footOriR = dartModel.getJointOrientationGlobal(supR)

        #desire footCenter[1] = 0.041135
        #desire footCenter[1] = 0.0197
        footCenterL = dartModel.getBodyPositionGlobal(supL)
        footCenterR = dartModel.getBodyPositionGlobal(supR)
        footBodyOriL = dartModel.getBodyOrientationGlobal(supL)
        footBodyOriR = dartModel.getBodyOrientationGlobal(supR)
        footBodyVelL = dartModel.getBodyVelocityGlobal(supL)
        footBodyVelR = dartModel.getBodyVelocityGlobal(supR)
        footBodyAngVelL = dartModel.getBodyAngVelocityGlobal(supL)
        footBodyAngVelR = dartModel.getBodyAngVelocityGlobal(supR)

        refFootL = dartMotionModel.getBodyPositionGlobal(supL)
        refFootR = dartMotionModel.getBodyPositionGlobal(supR)
        refFootAngVelL = motion.getJointAngVelocityGlobal(supL, frame)
        refFootAngVelR = motion.getJointAngVelocityGlobal(supR, frame)

        refFootJointVelR = motion.getJointVelocityGlobal(supR, frame)
        refFootJointAngVelR = motion.getJointAngVelocityGlobal(supR, frame)
        refFootJointR = motion.getJointPositionGlobal(supR, frame)
        refFootVelR = refFootJointVelR + np.cross(refFootJointAngVelR,
                                                  (refFootR - refFootJointR))

        refFootJointVelL = motion.getJointVelocityGlobal(supL, frame)
        refFootJointAngVelL = motion.getJointAngVelocityGlobal(supL, frame)
        refFootJointL = motion.getJointPositionGlobal(supL, frame)
        refFootVelL = refFootJointVelL + np.cross(refFootJointAngVelL,
                                                  (refFootL - refFootJointL))

        contactR = 1
        contactL = 1
        if refFootVelR[1] < 0 and refFootVelR[1] * frame_step_size + refFootR[
                1] > singleTodoubleOffset:
            contactR = 0
        if refFootVelL[1] < 0 and refFootVelL[1] * frame_step_size + refFootL[
                1] > singleTodoubleOffset:
            contactL = 0
        if refFootVelR[1] > 0 and refFootVelR[1] * frame_step_size + refFootR[
                1] > doubleTosingleOffset:
            contactR = 0
        if refFootVelL[1] > 0 and refFootVelL[1] * frame_step_size + refFootL[
                1] > doubleTosingleOffset:
            contactL = 0
        # contactR = 0

        # contMotionOffset = th[0][0] - th_r[0][0]
        contMotionOffset = dartModel.getBodyPositionGlobal(
            0) - dartMotionModel.getBodyPositionGlobal(0)

        linkPositions = dartModel.getBodyPositionsGlobal()
        linkVelocities = dartModel.getBodyVelocitiesGlobal()
        linkAngVelocities = dartModel.getBodyAngVelocitiesGlobal()
        linkInertias = dartModel.getBodyInertiasGlobal()

        CM = dartModel.skeleton.com()
        dCM = dartModel.skeleton.com_velocity()
        CM_plane = copy.copy(CM)
        CM_plane[1] = 0.
        dCM_plane = copy.copy(dCM)
        dCM_plane[1] = 0.

        P = ymt.getPureInertiaMatrix(TO, linkMasses, linkPositions, CM,
                                     linkInertias)
        dP = ymt.getPureInertiaMatrixDerivative(dTO, linkMasses,
                                                linkVelocities, dCM,
                                                linkAngVelocities,
                                                linkInertias)

        #calculate contact state
        #if g_initFlag == 1 and contact == 1 and refFootR[1] < doubleTosingleOffset and footCenterR[1] < 0.08:
        if g_initFlag == 1:
            #contact state
            # 0: flying 1: right only 2: left only 3: double
            #if contact == 2 and refFootR[1] < doubleTosingleOffset:
            if contact == 2 and contactR == 1:
                contact = 3
                maxContactChangeCount += 30
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'StoD'

            #elif contact == 3 and refFootL[1] < doubleTosingleOffset:
            elif contact == 1 and contactL == 1:
                contact = 3
                maxContactChangeCount += 30
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'StoD'

            #elif contact == 3 and refFootR[1] > doubleTosingleOffset:
            elif contact == 3 and contactR == 0:
                contact = 2
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'DtoS'

            #elif contact == 3 and refFootL[1] > doubleTosingleOffset:
            elif contact == 3 and contactL == 0:
                contact = 1
                contactChangeCount += maxContactChangeCount
                contactChangeType = 'DtoS'

            else:
                contact = 0
                #if refFootR[1] < doubleTosingleOffset:
                if contactR == 1:
                    contact += 1
                #if refFootL[1] < doubleTosingleOffset:
                if contactL == 1:
                    contact += 2

        #initialization
        if g_initFlag == 0:
            softConstPoint = footCenterR.copy()

            footCenter = footCenterL + (footCenterR - footCenterL) / 2.0
            footCenter[1] = 0.
            preFootCenter = footCenter.copy()
            #footToBodyFootRotL = np.dot(np.transpose(footOriL), footBodyOriL)
            #footToBodyFootRotR = np.dot(np.transpose(footOriR), footBodyOriR)

            if refFootR[1] < doubleTosingleOffset:
                contact += 1
            if refFootL[1] < doubleTosingleOffset:
                contact += 2

            g_initFlag = 1

        #calculate jacobian
        body_num = dartModel.getBodyNum()
        Jsys = np.zeros((6 * body_num, totalDOF))
        dJsys = np.zeros((6 * body_num, totalDOF))
        for i in range(dartModel.getBodyNum()):
            body_i_jacobian = dartModel.getBody(i).world_jacobian()[
                range(-3, 3), :]
            body_i_jacobian_deriv = dartModel.getBody(
                i).world_jacobian_classic_deriv()[range(-3, 3), :]
            Jsys[6 * i:6 * i + 6, :] = body_i_jacobian
            dJsys[6 * i:6 * i + 6, :] = body_i_jacobian_deriv

        JsupL = dartModel.getBody(supL).world_jacobian()[range(-3, 3), :]
        dJsupL = dartModel.getBody(supL).world_jacobian_classic_deriv()[
            range(-3, 3), :]

        JsupR = dartModel.getBody(supR).world_jacobian()[range(-3, 3), :]
        dJsupR = dartModel.getBody(supR).world_jacobian_classic_deriv()[
            range(-3, 3), :]

        dartMotionModel.update(motion[frame])
        # ddth_des_flat = pdcontroller.compute(dartMotionModel.get_q())
        ddth_des_flat = pdcontroller.compute(motion.getDOFPositions(frame))

        #calculate footCenter
        footCenter = .5 * (footCenterL + footCenterR)
        #if refFootR[1] >doubleTosingleOffset:
        #if refFootR[1] > doubleTosingleOffset or footCenterR[1] > 0.08:
        #if contact == 1 or footCenterR[1] > 0.08:
        #if contact == 2 or footCenterR[1] > doubleTosingleOffset/2:
        if contact == 2:
            footCenter = footCenterL.copy()
        #elif contact == 1 or footCenterL[1] > doubleTosingleOffset/2:
        if contact == 1:
            footCenter = footCenterR.copy()
        footCenter[1] = 0.

        if contactChangeCount > 0 and contactChangeType == 'StoD':
            #change footcenter gradually
            footCenter = preFootCenter + (
                maxContactChangeCount - contactChangeCount) * (
                    footCenter - preFootCenter) / maxContactChangeCount

        preFootCenter = footCenter.copy()

        # foot adjustment

        foot_angle_weight = 1.
        foot_dCM_weight = 5.

        foot_center_diff = CM_plane + dCM_plane * frame_step_size * foot_dCM_weight - footCenter
        foot_center_diff_norm = np.linalg.norm(foot_center_diff)

        foot_left_height = dartModel.getJointPositionGlobal(foot_left_idx)[1]
        foot_right_height = dartModel.getJointPositionGlobal(foot_left_idx)[1]

        foot_left_angle = foot_angle_weight * math.atan2(
            foot_center_diff_norm, foot_left_height)
        foot_right_angle = foot_angle_weight * math.atan2(
            foot_center_diff_norm, foot_right_height)

        foot_axis = np.cross(np.array((0., 1., 0.)), foot_center_diff)

        foot_left_R = mm.exp(foot_axis, foot_left_angle)
        foot_right_R = mm.exp(foot_axis, foot_right_angle)
        # motion[frame].mulJointOrientationGlobal(foot_left_idx, foot_left_R)
        # motion[frame].mulJointOrientationGlobal(foot_right_idx, foot_right_R)

        # hfi.footAdjust(motion[frame], footIdDic, SEGMENT_FOOT_MAG, SEGMENT_FOOT_RAD, 0.)

        # linear momentum
        #TODO:
        # We should consider dCM_ref, shouldn't we?
        # add getBodyPositionGlobal and getBodyPositionsGlobal in csVpModel!
        # to do that, set joint velocities to vpModel
        CM_ref_plane = footCenter
        dL_des_plane = Kl * totalMass * (CM_ref_plane -
                                         CM_plane) - Dl * totalMass * dCM_plane
        dL_des_plane[1] = 0.

        # angular momentum
        CP_ref = footCenter

        bodyIDs, contactPositions, contactPositionLocals, contactForces = [], [], [], []
        if DART_CONTACT_ON:
            bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.get_dart_contact_info(
            )
        else:
            bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.calcPenaltyForce(
                bodyIDsToCheck, mus, Ks, Ds)
        #bodyIDs, contactPositions, contactPositionLocals, contactForces, contactVelocities = vpWorld.calcManyPenaltyForce(0, bodyIDsToCheck, mus, Ks, Ds)

        CP = yrp.getCP(contactPositions, contactForces)
        if CP_old[0] is None or CP is None:
            dCP = None
        else:
            dCP = (CP - CP_old[0]) / frame_step_size
        CP_old[0] = CP

        # CP_des = None
        if CP_des[0] is None:
            CP_des[0] = footCenter

        if CP is not None and dCP is not None:
            ddCP_des = Kh * (CP_ref - CP) - Dh * dCP
            CP_des[0] = CP + dCP * frame_step_size + .5 * ddCP_des * (
                frame_step_size**2)
            # dCP_des[0] += ddCP_des * frame_step_size
            # CP_des[0] += dCP_des[0] * frame_step_size + .5 * ddCP_des*(frame_step_size ** 2)
            dH_des = np.cross(
                CP_des[0] - CM,
                (dL_des_plane + totalMass * mm.s2v(wcfg.gravity)))
            if contactChangeCount > 0:  # and contactChangeType == 'DtoS':
                #dH_des *= (maxContactChangeCount - contactChangeCount)/(maxContactChangeCount*10)
                dH_des *= (maxContactChangeCount -
                           contactChangeCount) / maxContactChangeCount
                #dH_des *= (contactChangeCount)/(maxContactChangeCount)*.9+.1
        else:
            dH_des = None
        # H = np.dot(P, np.dot(Jsys, dth_flat))
        # dH_des = -Kh* H[3:]

        # soft point constraint
        #softConstPoint = refFootR.copy()
        ##softConstPoint[0] += 0.2
        #Ksc = 50
        #Dsc = 2*(Ksc**.5)
        #Bsc = 1.

        #P_des = softConstPoint
        #P_cur = controlModel.getBodyPositionGlobal(constBody)
        #dP_des = [0, 0, 0]
        #dP_cur = controlModel.getBodyVelocityGlobal(constBody)
        #ddP_des1 = Ksc*(P_des - P_cur) + Dsc*(dP_des - dP_cur)

        #r = P_des - P_cur
        #I = np.vstack(([1,0,0],[0,1,0],[0,0,1]))
        #Z = np.hstack((I, mm.getCrossMatrixForm(-r)))

        #yjc.computeJacobian2(Jconst, DOFs, jointPositions, jointAxeses, [softConstPoint], constJointMasks)
        #dJconst = (Jconst - Jconst)/(1/30.)
        #JconstPre = Jconst.copy()
        ##yjc.computeJacobianDerivative2(dJconst, DOFs, jointPositions, jointAxeses, linkAngVelocities, [softConstPoint], constJointMasks, False)

        #JL, JA = np.vsplit(Jconst, 2)
        #Q1 = np.dot(Z, Jconst)

        #q1 = np.dot(JA, dth_flat)
        #q2 = np.dot(mm.getCrossMatrixForm(q1), np.dot(mm.getCrossMatrixForm(q1), r))
        #q_bias1 = np.dot(np.dot(Z, dJconst), dth_flat) + q2

        #set up equality constraint
        # a_oriL = mm.logSO3(mm.getSO3FromVectors(np.dot(footBodyOriL, np.array([0,1,0])), np.array([0,1,0])))
        # a_oriR = mm.logSO3(mm.getSO3FromVectors(np.dot(footBodyOriR, np.array([0,1,0])), np.array([0,1,0])))
        left_foot_up_vec, right_foot_up_vec = hfi.get_foot_up_vector(
            motion[frame], footIdDic, None)
        a_oriL = mm.logSO3(
            mm.getSO3FromVectors(left_foot_up_vec, np.array([0, 1, 0])))
        a_oriR = mm.logSO3(
            mm.getSO3FromVectors(right_foot_up_vec, np.array([0, 1, 0])))

        #if contact == 3 and contactChangeCount < maxContactChangeCount/4 and contactChangeCount >=1:
        #kt_sup = 30
        #viewer.objectInfoWnd.labelSupKt.value(kt_sup)
        #viewer.objectInfoWnd.sliderSupKt.value(initSupKt*10)

        # a_supL = np.append(kt_sup*(refFootL - footCenterL + contMotionOffset) + dt_sup*(refFootVelL - footBodyVelL), kt_sup*a_oriL+dt_sup*(refFootAngVelL-footBodyAngVelL))
        # a_supR = np.append(kt_sup*(refFootR - footCenterR + contMotionOffset) + dt_sup*(refFootVelR - footBodyVelR), kt_sup*a_oriR+dt_sup*(refFootAngVelR-footBodyAngVelR))
        a_supL = np.append(
            kt_sup * (refFootL - footCenterL + contMotionOffset) + dt_sup *
            (refFootVelL - footBodyVelL),
            kt_sup * a_oriL + dt_sup * (refFootAngVelL - footBodyAngVelL))
        a_supR = np.append(
            kt_sup * (refFootR - footCenterR + contMotionOffset) + dt_sup *
            (refFootVelR - footBodyVelR),
            kt_sup * a_oriR + dt_sup * (refFootAngVelR - footBodyAngVelR))
        # a_supL[3:] = 0.
        # a_supR[3:] = 0.

        if contactChangeCount > 0 and contactChangeType == 'DtoS':
            #refFootR += (footCenter-CM_plane)/2.
            #refFootR[1] = 0
            #pre contact value are needed
            #if contact == 2:
            ##refFootR[0] += 0.2
            ##refFootR[2] -= 0.05
            #offsetDropR = (footCenter-CM_plane)/2.
            #refFootR += offsetDropR
            #refFootR[1] = 0.
            ##refFootR[2] = footCenterR[2] - contMotionOffset[2]
            ##refFootR[0] = footCenterR[0] - contMotionOffset[0]
            #refFootL[0] += 0.05
            #refFootL[2] -= 0.05
            #elif contact == 1:
            #offsetDropL = (footCenter-CM_plane)/2.
            #refFootL += offsetDropL
            #refFootL[1] = 0.
            #a_supL = np.append(kt_sup*(refFootL - footCenterL + contMotionOffset) + dt_sup*(refFootVelL - footBodyVelL), kt_sup*a_oriL+dt_sup*(refFootAngVelL-footBodyAngVelL))
            #a_supR = np.append(kt_sup*(refFootR - footCenterR + contMotionOffset) + dt_sup*(refFootVelR - footBodyVelR), kt_sup*a_oriR+dt_sup*(refFootAngVelR-footBodyAngVelR))
            #a_supL = np.append(kt_sup*(refFootL - footCenterL + contMotionOffset) + dt_sup*(refFootVelL - footBodyVelL), 16*kt_sup*a_oriL+4*dt_sup*(refFootAngVelL-footBodyAngVelL))
            #a_supR = np.append(kt_sup*(refFootR - footCenterR + contMotionOffset) + dt_sup*(refFootVelR - footBodyVelR), 16*kt_sup*a_oriR+4*dt_sup*(refFootAngVelR-footBodyAngVelR))
            a_supL = np.append(
                kt_sup * (refFootL - footCenterL + contMotionOffset) + dt_sup *
                (refFootVelL - footBodyVelL), 4 * kt_sup * a_oriL +
                2 * dt_sup * (refFootAngVelL - footBodyAngVelL))
            a_supR = np.append(
                kt_sup * (refFootR - footCenterR + contMotionOffset) + dt_sup *
                (refFootVelR - footBodyVelR), 4 * kt_sup * a_oriR +
                2 * dt_sup * (refFootAngVelR - footBodyAngVelR))
        elif contactChangeCount > 0 and contactChangeType == 'StoD':
            #refFootR[0] +=0.05
            #refFootR[2] +=0.05
            linkt = (13. * contactChangeCount) / maxContactChangeCount + 1.
            lindt = 2 * (linkt**.5)
            angkt = (13. * contactChangeCount) / maxContactChangeCount + 1.
            angdt = 2 * (angkt**.5)
            #a_supL = np.append(4*kt_sup*(refFootL - footCenterL + contMotionOffset) + 2*dt_sup*(refFootVelL - footBodyVelL), 16*kt_sup*a_oriL+4*dt_sup*(refFootAngVelL-footBodyAngVelL))
            #a_supR = np.append(4*kt_sup*(refFootR - footCenterR + contMotionOffset) + 2*dt_sup*(refFootVelR - footBodyVelR), 16*kt_sup*a_oriR+4*dt_sup*(refFootAngVelR-footBodyAngVelR))
            a_supL = np.append(
                linkt * kt_sup * (refFootL - footCenterL + contMotionOffset) +
                lindt * dt_sup * (refFootVelL - footBodyVelL),
                angkt * kt_sup * a_oriL + angdt * dt_sup *
                (refFootAngVelL - footBodyAngVelL))
            a_supR = np.append(
                linkt * kt_sup * (refFootR - footCenterR + contMotionOffset) +
                lindt * dt_sup * (refFootVelR - footBodyVelR),
                angkt * kt_sup * a_oriR + angdt * dt_sup *
                (refFootAngVelR - footBodyAngVelR))
            #a_supL = np.append(16*kt_sup*(refFootL - footCenterL + contMotionOffset) + 4*dt_sup*(refFootVelL - footBodyVelL), 16*kt_sup*a_oriL+4*dt_sup*(refFootAngVelL-footBodyAngVelL))
            #a_supR = np.append(16*kt_sup*(refFootR - footCenterR + contMotionOffset) + 4*dt_sup*(refFootVelR - footBodyVelR), 16*kt_sup*a_oriR+4*dt_sup*(refFootAngVelR-footBodyAngVelR))
            #a_supL = np.append(4*kt_sup*(refFootL - footCenterL + contMotionOffset) + 2*dt_sup*(refFootVelL - footBodyVelL), 32*kt_sup*a_oriL+5.6*dt_sup*(refFootAngVelL-footBodyAngVelL))
            #a_supR = np.append(4*kt_sup*(refFootR - footCenterR + contMotionOffset) + 2*dt_sup*(refFootVelR - footBodyVelR), 32*kt_sup*a_oriR+5.6*dt_sup*(refFootAngVelR-footBodyAngVelR))
            #a_supL[1] = kt_sup*(refFootL[1] - footCenterL[1] + contMotionOffset[1]) + dt_sup*(refFootVelL[1] - footBodyVelL[1])
            #a_supR[1] = kt_sup*(refFootR[1] - footCenterR[1] + contMotionOffset[1]) + dt_sup*(refFootVelR[1] - footBodyVelR[1])

        ##if contact == 2:
        #if refFootR[1] <doubleTosingleOffset :
        #Jsup = np.vstack((JsupL, JsupR))
        #dJsup = np.vstack((dJsupL, dJsupR))
        #a_sup = np.append(a_supL, a_supR)
        #else:
        #Jsup = JsupL.copy()
        #dJsup = dJsupL.copy()
        #a_sup = a_supL.copy()

        # momentum matrix
        RS = np.dot(P, Jsys)
        R, S = np.vsplit(RS, 2)

        rs = np.dot((np.dot(dP, Jsys) + np.dot(P, dJsys)), dth_flat)
        r_bias, s_bias = np.hsplit(rs, 2)

        #######################################################
        # optimization
        #######################################################
        #if contact == 2 and footCenterR[1] > doubleTosingleOffset/2:
        if contact == 2:
            config['weightMap']['RightUpLeg'] = .8
            config['weightMap']['RightLeg'] = .8
            config['weightMap']['RightFoot'] = .8
        else:
            config['weightMap']['RightUpLeg'] = .1
            config['weightMap']['RightLeg'] = .25
            config['weightMap']['RightFoot'] = .2

        #if contact == 1 and footCenterL[1] > doubleTosingleOffset/2:
        if contact == 1:
            config['weightMap']['LeftUpLeg'] = .8
            config['weightMap']['LeftLeg'] = .8
            config['weightMap']['LeftFoot'] = .8
        else:
            config['weightMap']['LeftUpLeg'] = .1
            config['weightMap']['LeftLeg'] = .25
            config['weightMap']['LeftFoot'] = .2

        w = mot.getTrackingWeight(DOFs, motion[0].skeleton,
                                  config['weightMap'])

        #if contact == 2:
        #mot.addSoftPointConstraintTerms(problem, totalDOF, Bsc, ddP_des1, Q1, q_bias1)
        mot.addTrackingTerms(problem, totalDOF, Bt, w, ddth_des_flat)
        if dH_des is not None:
            mot.addLinearTerms(problem, totalDOF, Bl, dL_des_plane, R, r_bias)
            mot.addAngularTerms(problem, totalDOF, Bh, dH_des, S, s_bias)

            #mot.setConstraint(problem, totalDOF, Jsup, dJsup, dth_flat, a_sup)
            #mot.addConstraint(problem, totalDOF, Jsup, dJsup, dth_flat, a_sup)
            #if contact & 1 and contactChangeCount == 0:
            if contact & 1:
                #if refFootR[1] < doubleTosingleOffset:
                mot.addConstraint(problem, totalDOF, JsupR, dJsupR, dth_flat,
                                  a_supR)
            if contact & 2:
                #if refFootL[1] < doubleTosingleOffset:
                mot.addConstraint(problem, totalDOF, JsupL, dJsupL, dth_flat,
                                  a_supL)

        if contactChangeCount > 0:
            contactChangeCount -= 1
            if contactChangeCount == 0:
                maxContactChangeCount = 30
                contactChangeType = 0

        r = problem.solve()
        problem.clear()
        # ype.nested(r['x'], ddth_sol)
        ddth_sol = np.asarray(r['x'])

        # remove foot seg effect
        ddth_sol[foot_dofs] = ddth_des_flat[foot_dofs]
        # ddth_sol[:] = ddth_des_flat[:]

        rootPos[0] = dartModel.getBodyPositionGlobal(selectedBody)
        localPos = [[0, 0, 0]]

        for i in range(stepsPerFrame):
            # apply penalty force
            if not DART_CONTACT_ON:
                bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.calcPenaltyForce(
                    bodyIDsToCheck, mus, Ks, Ds)
                dartModel.applyPenaltyForce(bodyIDs, contactPositionLocals,
                                            contactForces)
            #bodyIDs, contactPositions, contactPositionLocals, contactForces, contactVelocities = vpWorld.calcManyPenaltyForce(0, bodyIDsToCheck, mus, Ks, Ds)

            dartModel.skeleton.set_accelerations(ddth_sol)

            if forceShowTime > viewer.objectInfoWnd.labelForceDur.value():
                forceShowTime = 0
                viewer_ResetForceState()

            forceforce = np.array([
                viewer.objectInfoWnd.labelForceX.value(),
                viewer.objectInfoWnd.labelForceY.value(),
                viewer.objectInfoWnd.labelForceZ.value()
            ])
            extraForce[0] = getParamVal('Fm') * mm.normalize2(forceforce)
            if viewer_GetForceState():
                forceShowTime += wcfg.timeStep
                dartModel.applyPenaltyForce(selectedBodyId, localPos,
                                            extraForce)

            dartModel.step()

        if DART_CONTACT_ON:
            bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.get_dart_contact_info(
            )
        else:
            bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.calcPenaltyForce(
                bodyIDsToCheck, mus, Ks, Ds)

        # rendering
        rightFootVectorX[0] = np.dot(footOriL, np.array([.1, 0, 0]))
        rightFootVectorY[0] = np.dot(footOriL, np.array([0, .1, 0]))
        rightFootVectorZ[0] = np.dot(footOriL, np.array([0, 0, .1]))
        rightFootPos[0] = footCenterL

        rightVectorX[0] = np.dot(footBodyOriL, np.array([.1, 0, 0]))
        rightVectorY[0] = np.dot(footBodyOriL, np.array([0, .1, 0]))
        rightVectorZ[0] = np.dot(footBodyOriL, np.array([0, 0, .1]))
        rightPos[0] = footCenterL + np.array([.1, 0, 0])

        rd_footCenter[0] = footCenter
        rd_footCenterL[0] = footCenterL
        rd_footCenterR[0] = footCenterR

        rd_CM[0] = CM

        rd_CM_plane[0] = CM.copy()
        rd_CM_plane[0][1] = 0.

        if CP is not None and dCP is not None:
            rd_CP[0] = CP
            rd_CP_des[0] = CP_des[0]

            rd_dL_des_plane[0] = [
                dL_des_plane[0] / 100, dL_des_plane[1] / 100,
                dL_des_plane[2] / 100
            ]
            rd_dH_des[0] = dH_des

            rd_grf_des[0] = dL_des_plane - totalMass * mm.s2v(wcfg.gravity)

        rd_root_des[0] = rootPos[0]

        del rd_CF[:]
        del rd_CF_pos[:]
        for i in range(len(contactPositions)):
            rd_CF.append(contactForces[i] / 100)
            rd_CF_pos.append(contactPositions[i].copy())

        if viewer_GetForceState():
            rd_exfen_des[0] = [
                extraForce[0][0] / 100, extraForce[0][1] / 100,
                extraForce[0][2] / 100
            ]
            rd_exf_des[0] = [0, 0, 0]
        else:
            rd_exf_des[0] = [
                extraForce[0][0] / 100, extraForce[0][1] / 100,
                extraForce[0][2] / 100
            ]
            rd_exfen_des[0] = [0, 0, 0]

        extraForcePos[0] = dartModel.getBodyPositionGlobal(selectedBody)

    viewer.setSimulateCallback(simulateCallback)

    viewer.startTimer(1 / 30.)
    viewer.show()

    Fl.run()
Beispiel #6
0
# motion_ori = yf.readBvhFile(motionDir+filename)
frameTime = 1 / motion_ori.fps

mcfg = buildMcfg()
c_locking_vel = .05

wcfg = ypc.WorldConfig()
wcfg.planeHeight = 0.
wcfg.useDefaultContactModel = False
wcfg.lockingVel = c_locking_vel
stepsPerFrame = 50
wcfg.timeStep = frameTime / stepsPerFrame

pydart.init()
dartMotionModel = cpm.DartModel(wcfg, motion_ori[0],
                                mcfg)  # type: cpm.DartModel

screen = pygame.display.set_mode((SCREEN_WIDTH, SCREEN_HEIGHT), 0, 32)

clock = pygame.time.Clock()

_world = world(gravity=(0, -9.8), doSleep=True)  # type: Box2D.b2World
# --- pybox2d world setup ---
# Create the world

# And a static body to hold the ground shape
# ground_body = _world.CreateStaticBody(position=(0., -1.), shapes=polygonShape(box=(100., 1.)), )
ground_body = _world.CreateStaticBody(position=(0., -1.))  # type:Box2D.b2Body
ground_body.CreatePolygonFixture(box=(100., 1.), categoryBits=4, maskBits=2)
'''
# Create a dynamic body
Beispiel #7
0
def main(fm=50., fv=np.array([0., 0., 50.]), ts=2., te=2.1):
    np.set_printoptions(precision=4, linewidth=200)
    # np.set_printoptions(precision=4, linewidth=1000, threshold=np.inf)

    motion, mcfg, wcfg, stepsPerFrame, config, frame_rate = mit.create_biped()

    frame_step_size = 1. / frame_rate

    pydart.init()
    dartModel = cdm.DartModel(wcfg, motion[0], mcfg, DART_CONTACT_ON)
    dartMotionModel = cdm.DartModel(wcfg, motion[0], mcfg, DART_CONTACT_ON)

    # wcfg.lockingVel = 0.01
    dartModel.initializeHybridDynamics()

    #controlToMotionOffset = (1.5, -0.02, 0)
    controlToMotionOffset = (1.5, 0, 0)
    dartModel.translateByOffset(controlToMotionOffset)

    totalDOF = dartModel.getTotalDOF()
    DOFs = dartModel.getDOFs()

    # parameter
    Kt = 25.
    Dt = 5.
    Ks = config['Ks']
    Ds = config['Ds']

    w = mot.getTrackingWeight(DOFs, motion[0].skeleton, config['weightMap'])

    supL = motion[0].skeleton.getJointIndex(config['supLink1'])
    supR = motion[0].skeleton.getJointIndex(config['supLink2'])

    selectedBody = motion[0].skeleton.getJointIndex(config['end'])
    constBody = motion[0].skeleton.getJointIndex('RightFoot')

    # momentum matrix
    linkMasses = dartModel.getBodyMasses()
    totalMass = dartModel.getTotalMass()
    dartModel.world.time()

    # penalty method
    # bodyIDsToCheck = range(dartModel.getBodyNum())
    bodyIDsToCheck = [supL, supR]
    #mus = [1.]*len(bodyIDsToCheck)
    mus = [.5] * len(bodyIDsToCheck)

    # viewer
    selectedBodyId = [selectedBody]
    extraForce = [None]
    extraForcePos = [None]

    pdcontroller = PDController(dartModel, dartModel.skeleton, wcfg.timeStep,
                                Kt, Dt)

    ###################################
    #simulate
    ###################################
    def simulateCallback(frame):
        dartMotionModel.update(motion[frame])

        # tracking
        # th_r = motion.getDOFPositions(frame)
        th_r = dartMotionModel.getDOFPositions()
        th = dartModel.getDOFPositions()
        th_r_flat = dartMotionModel.get_q()
        dth_flat = dartModel.get_dq()
        ddth_des_flat = pdcontroller.compute_flat(th_r_flat)

        localPos = [[0, 0, 0]]
        for i in range(stepsPerFrame):
            # apply penalty force
            if not DART_CONTACT_ON:
                bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.calcPenaltyForce(
                    bodyIDsToCheck, mus, Ks, Ds)
                dartModel.applyPenaltyForce(bodyIDs, contactPositionLocals,
                                            contactForces)

            # dartModel.skeleton.set_accelerations(ddth_sol)
            dartModel.skeleton.set_accelerations(ddth_des_flat)
            # dartModel.skeleton.set_forces(np.zeros(totalDOF))

            extraForce[0] = fm * fv
            if ts <= dartModel.world.time() <= te:
                dartModel.applyPenaltyForce(selectedBodyId, localPos,
                                            extraForce)

            dartModel.step()

        if DART_CONTACT_ON:
            bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.get_dart_contact_info(
            )
        else:
            bodyIDs, contactPositions, contactPositionLocals, contactForces = dartModel.calcPenaltyForce(
                bodyIDsToCheck, mus, Ks, Ds)