Example #1
0
    def __init__(self):
        self.episode_num = 0
        motion, mcfg, wcfg, stepsPerFrame, config, frame_rate = create_biped()
        self.model = DeepDartModel(wcfg, motion[0], mcfg, config, True)
        # self.model.initializeHybridDynamics()

        state_num = self.model.get_deep_num_state()
        action_num = self.model.get_deep_num_action()

        # state_high = np.array([1.] * state_num)
        # action_high = np.array([np.finfo(np.float32).max] * action_num)
        state_high = np.array([np.finfo(np.float32).max] * state_num)
        action_high = np.array([1.4] * action_num)

        self.action_space = spaces.Box(-action_high, action_high)
        self.observation_space = spaces.Box(-state_high, state_high)

        self.seed()

        self.episode_times = np.array([0. for i in range(32)])
Example #2
0
def main():

    np.set_printoptions(precision=4, linewidth=200)

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

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

    ModelOffset = (1.5, -0.02, 0)
    #ModelOffset = (1.5, 1.02, 0)
    #ModelOffset = (1.5, 0.02, 0)
    controlModel.translateByOffset(ModelOffset)
    #controlModel.translateByOffset((1.5,-0.0328,0))#(1.5,-0.02,0))

    totalDOF = controlModel.getTotalDOF()
    DOFs = controlModel.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'])
    w_IK = mot.getTrackingWeight(DOFs, motion[0].skeleton,
                                 config['IKweightMap'])
    supL = motion[0].skeleton.getJointIndex(config['supLink'])
    supR = motion[0].skeleton.getJointIndex(config['supLink2'])

    #controlModel.SetGround(supL, True)
    #controlModel.SetGround(supR, True)

    selectedBody = motion[0].skeleton.getJointIndex(config['end'])
    #constBody = motion[0].skeleton.getJointIndex('LeftForeArm')
    constBody = motion[0].skeleton.getJointIndex('Hips')

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

    JsupR = yjc.makeEmptyJacobian(DOFs, 1)
    dJsupR = JsupR.copy()
    JsupPreR = JsupR.copy()

    Jsup = yjc.makeEmptyJacobian(DOFs, 1)
    dJsup = Jsup.copy()
    JsupPre = Jsup.copy()

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

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

    supLJointMasks = [yjc.getLinkJointMask(motion[0].skeleton, supL)]
    supRJointMasks = [yjc.getLinkJointMask(motion[0].skeleton, supR)]
    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, 6)
    a_sup = (0, 0, 0, 0, 0, 0)  #L
    #a_sup2 = (0,0,0, 0,0,0)#R
    a_sup2 = [0, 0, 0, 0, 0, 0]  #R
    a_sup_2 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
    CP_old = [mm.v3(0., 0., 0.)]

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

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

    d_th_IK = ype.makeNestedList(DOFs)
    d_th_IK_L = ype.makeNestedList(DOFs)
    d_th_IK_R = ype.makeNestedList(DOFs)
    dd_th_IK = ype.makeNestedList(DOFs)
    dd_th_IK_flat = ype.makeFlatList(totalDOF)
    d_th_IK_flat = ype.makeFlatList(totalDOF)
    ddth_c_flat = ype.makeFlatList(totalDOF)

    # viewer
    rd_footCenter = [None]
    rd_footCenter_ref = [None]
    rd_footCenterL = [None]
    rd_footCenterR = [None]
    rd_CM_plane = [None]
    rd_CM_plane_ref = [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_root_des = [None]
    rd_soft_const_vec = [None]

    rd_CMP = [None]
    rd_DesPosL = [None]
    rd_DesPosR = [None]

    rootPos = [None]
    selectedBodyId = [selectedBody]
    extraForce = [None]
    applyedExtraForce = [None]
    applyedExtraForce[0] = [0, 0, 0]

    viewer = ysv.SimpleViewer(rect=(0, 0, 1000, 800))
    #    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_FILL))
    viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
    #viewer.doc.addRenderer('rd_footCenterL', yr.PointsRenderer(rd_footCenterL))
    #viewer.doc.addRenderer('rd_footCenterR', yr.PointsRenderer(rd_footCenterR))
    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, 255), .001))

    viewer.doc.addRenderer(
        'rd_exf_des',
        yr.ForcesRenderer(rd_exf_des, rd_root_des, (0, 255, 0), .009, 0.05))

    #viewer.doc.addRenderer('rd_CMP', yr.PointsRenderer(rd_CMP, (0,0,255)))

    viewer.doc.addRenderer('rd_DesPosL',
                           yr.PointsRenderer(rd_DesPosL, (0, 0, 255)))
    viewer.doc.addRenderer('rd_DesPosR',
                           yr.PointsRenderer(rd_DesPosR, (0, 100, 255)))

    #viewer.doc.addRenderer('softConstraint', yr.VectorsRenderer(rd_soft_const_vec, rd_CMP, (255,0,0), 3))

    viewer.doc.addRenderer('rd_footCenter_ref',
                           yr.PointsRenderer(rd_footCenter_ref))
    viewer.doc.addRenderer('rd_CM_plane_ref',
                           yr.PointsRenderer(rd_CM_plane_ref, (255, 255, 0)))

    stage = 0

    def preCallback(frame):
        motionModel.update(motion[frame])

    def simulateCallback(frame):
        global g_initFlag
        global preFootCenterL, preFootCenterR
        global preFootOrientationL, preFootOrientationR
        global forceShowFrame
        global forceApplyFrame

        global JsysPre
        global JsupPreL
        global JsupPreR
        global JsupPre

        global softConstPoint

        global stage

        motionModel.update(motion[frame])

        Kt, Kk, Kl, Kh, Ksc, Bt, Bl, Bh, Bsc = viewer.GetParam()

        if stage == 3:
            Bsc = 0
            #Kl *= 1.5

        Dt = 2 * (Kt**.5)
        Dk = 2 * (Kk**.5)
        Dl = 2 * (Kl**.5)
        Dh = 2 * (Kh**.5)
        Dsc = 2 * (Ksc**.5)

        if Bsc == 0.0:
            viewer.doc.showRenderer('softConstraint', False)
            viewer.motionViewWnd.update(1, viewer.doc)
        else:
            viewer.doc.showRenderer('softConstraint', True)
            renderer1 = viewer.doc.getRenderer('softConstraint')
            renderer1.rc.setLineWidth(0.1 + Bsc * 3)
            viewer.motionViewWnd.update(1, viewer.doc)

        # tracking
        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)
        ddth_c = controlModel.getDOFAccelerations()

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

        ype.flatten(ddth_c, ddth_c_flat)

        # jacobian
        footCenterL = controlModel.getBodyPositionGlobal(supL)
        footCenterR = controlModel.getBodyPositionGlobal(supR)

        refFootL = motionModel.getBodyPositionGlobal(supL)
        refFootR = motionModel.getBodyPositionGlobal(supR)

        footCenter = footCenterL + (footCenterR - footCenterL) / 2.0
        footCenter[1] = 0.

        footCenter_ref = refFootL + (refFootR - refFootL) / 2.0
        footCenter_ref[1] = 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.

        linkPositions_ref = motionModel.getBodyPositionsGlobal()
        CM_plane_ref = yrp.getCM(linkPositions_ref, linkMasses, totalMass)
        CM_plane_ref[1] = 0.

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

        yjc.computeJacobian2(Jsys, DOFs, jointPositions, jointAxeses,
                             linkPositions, allLinkJointMasks)
        dJsys = (Jsys - JsysPre) / (1 / 30.)
        JsysPre = Jsys
        #yjc.computeJacobianDerivative2(dJsys, DOFs, jointPositions, jointAxeses, linkAngVelocities, linkPositions, allLinkJointMasks)

        if g_initFlag == 0:
            preFootCenterL = footCenterL
            preFootCenterR = footCenterR
            preFootCenterL[1] -= 0.02
            preFootCenterR[1] -= 0.02
            preFootOrientationL = controlModel.getBodyOrientationGlobal(supL)
            preFootOrientationR = controlModel.getBodyOrientationGlobal(supR)
            softConstPoint = controlModel.getBodyPositionGlobal(constBody)
            #softConstPoint[2] += 0.3
            #softConstPoint[1] -= 1.1
            #softConstPoint[0] += 0.1

            softConstPoint[1] -= .3
            #softConstPoint[0] -= .1
            #softConstPoint[1] -= 1.
            #softConstPoint[0] -= .5
            g_initFlag = 1

        yjc.computeJacobian2(JsupL, DOFs, jointPositions, jointAxeses,
                             [footCenterL], supLJointMasks)
        dJsupL = (JsupL - JsupPreL) / (1 / 30.)
        JsupPreL = JsupL
        #yjc.computeJacobianDerivative2(dJsupL, DOFs, jointPositions, jointAxeses, linkAngVelocities, [footCenterL], supLJointMasks, False)

        yjc.computeJacobian2(JsupR, DOFs, jointPositions, jointAxeses,
                             [footCenterR], supRJointMasks)
        dJsupR = (JsupR - JsupPreR) / (1 / 30.)
        JsupPreR = JsupR
        #yjc.computeJacobianDerivative2(dJsupR, DOFs, jointPositions, jointAxeses, linkAngVelocities, [footCenterR], supRJointMasks, False)

        preFootCenter = preFootCenterL + (preFootCenterR -
                                          preFootCenterL) / 2.0
        preFootCenter[1] = 0

        bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(
            bodyIDsToCheck, mus, Ks, Ds)
        CP = yrp.getCP(contactPositions, contactForces)

        # linear momentum
        CM_ref_plane = footCenter
        #CM_ref_plane = preFootCenter
        dL_des_plane = Kl * totalMass * (CM_ref_plane -
                                         CM_plane) - Dl * totalMass * dCM_plane
        #print("dL_des_plane ", dL_des_plane )
        #dL_des_plane[1] = 0.

        # angular momentum
        CP_ref = footCenter

        timeStep = 30.
        if CP_old[0] == None or CP == None:
            dCP = None
        else:
            dCP = (CP - CP_old[0]) / (1 / timeStep)
        CP_old[0] = CP

        if CP != None and dCP != None:
            ddCP_des = Kh * (CP_ref - CP) - Dh * (dCP)
            CP_des = CP + dCP * (1 / timeStep) + .5 * ddCP_des * (
                (1 / timeStep)**2)
            dH_des = np.cross(
                (CP_des - CM),
                (dL_des_plane + totalMass * mm.s2v(wcfg.gravity)))
            #dH_des = np.cross((CP_des - CM_plane), (dL_des_plane + totalMass*mm.s2v(wcfg.gravity)))
            #dH_des = [0, 0, 0]
        else:
            dH_des = None

        CMP = yrp.getCMP(contactForces, CM)
        r = [0, 0, 0]
        if CP != None and np.any(np.isnan(CMP)) != True:
            r = CP - CMP
        #print("r.l", mm.length(r))
        #Bba = Bh*(mm.length(r))
        Bba = Bh

        # 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)

        ##############################
        # soft point constraint
        '''
        cmDiff = footCenter - CM_plane
        print("cmDiff", cmDiff)
        if stage == 3:
            softConstPoint +=
        '''

        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_cur - dP_des)

        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)
        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))

        yjc.computeJacobianDerivative2(dJconst, DOFs, jointPositions,
                                       jointAxeses, linkAngVelocities,
                                       [softConstPoint], constJointMasks,
                                       False)
        q_bias1 = np.dot(np.dot(Z, dJconst), dth_flat) + q2
        '''
        P_des = preFootCenterR
        P_cur = controlModel.getBodyPositionGlobal(supR)
        P_cur[1] = 0
        dP_des = [0, 0, 0]
        dP_cur = controlModel.getBodyVelocityGlobal(supR)
        ddP_des2 = Kp*(P_des - P_cur) - Dp*(dP_cur - dP_des)
        
        r = P_des - P_cur
        #print("r2", r)
        I = np.vstack(([1,0,0],[0,1,0],[0,0,1]))
        Z = np.hstack((I, mm.getCrossMatrixForm(-r)))
            
        JL, JA = np.vsplit(JsupR, 2)
        Q2 = np.dot(Z, JsupR)
        
        q1 = np.dot(JA, dth_flat)
        q2 = np.dot(mm.getCrossMatrixForm(q1), np.dot(mm.getCrossMatrixForm(q1), r))
        q_bias2 = np.dot(np.dot(Z, dJsupR), dth_flat) + q2
        '''
        #print("Q1", Q1)
        '''
        print("ddP_des1", ddP_des1)
        q_ddth1 = np.dot(Q1, ddth_c_flat)
        print("q_ddth1", q_ddth1)
        print("q_bias1", q_bias1)
        ddp1 = q_ddth1+q_bias1
        print("ddp1", ddp1)
        print("diff1", ddP_des1-ddp1)
        '''
        '''
        print("ddP_des2", ddP_des2)
        q_ddth2 = np.dot(Q2, ddth_c_flat)
        print("q_ddth2", q_ddth2)
        print("q_bias2", q_bias2)
        ddp2 = q_ddth2+q_bias2
        print("ddp2", ddp2)
        print("diff2", ddP_des2-ddp2)
        '''

        ##############################

        ############################
        # IK
        '''
        P_des = preFootCenterL
        P_cur = controlModel.getJointPositionGlobal(supL)
        r = P_des - P_cur
        
        Q_des = preFootOrientationL 
        Q_cur = controlModel.getJointOrientationGlobal(supL)
        rv = mm.logSO3(np.dot(Q_cur.transpose(), Q_des))
        #print("rv", rv)

        des_v_sup = (r[0],r[1],r[2], rv[0], rv[1], rv[2])
        A_large = np.dot(JsupL.T, JsupL)
        b_large = np.dot(JsupL.T, des_v_sup)

        des_d_th = npl.lstsq(A_large, b_large)

        ype.nested(des_d_th[0], d_th_IK_L)
                                        
        P_des2 = preFootCenterR
        P_cur2 = controlModel.getJointPositionGlobal(supR)
        r2 = P_des2 - P_cur2
                
        Q_des2 = preFootOrientationR
        Q_cur2 = controlModel.getJointOrientationGlobal(supR)
        rv2 = mm.logSO3(np.dot(Q_cur2.transpose(), Q_des2))
        #print("Q_des2", Q_des2)
        #print("Q_cur2", Q_cur2)
        #print("rv2", rv2)

        des_v_sup2 = (r2[0],r2[1],r2[2], rv2[0], rv2[1], rv[2])
        A_large = np.dot(JsupR.T, JsupR)
        b_large = np.dot(JsupR.T, des_v_sup2)

        des_d_th = npl.lstsq(A_large, b_large)

        ype.nested(des_d_th[0], d_th_IK_R)
        for i in range(len(d_th_IK_L)):
            for j in range(len(d_th_IK_L[i])):
                d_th_IK[i][j] = d_th_IK_L[i][j] + d_th_IK_R[i][j]
                    
        th_IK = yct.getIntegralDOF(th, d_th_IK, 1/timeStep)
        dd_th_IK = yct.getDesiredDOFAccelerations(th_IK, th, d_th_IK, dth, ddth_r, Kk, Dk)
                        
        ype.flatten(d_th_IK, d_th_IK_flat)
        ype.flatten(dd_th_IK, dd_th_IK_flat)
        '''
        ############################

        flagContact = True
        if dH_des == None or np.any(np.isnan(dH_des)) == True:
            flagContact = False
        '''
        0 : initial
        1 : contact
        2 : fly
        3 : landing
        '''
        if flagContact == False:
            if stage == 1:
                stage = 2
                print("fly")
        else:
            if stage == 0:
                stage = 1
                print("contact")
            elif stage == 2:
                stage = 3
                print("landing")

        if stage == 3:
            Bt = Bt * 0.8
            Bl = Bl * 1

        # optimization

        mot.addTrackingTerms(problem, totalDOF, Bt, w, ddth_des_flat)

        #mot.addTrackingTerms(problem, totalDOF, Bk, w_IK, dd_th_IK_flat)

        mot.addSoftPointConstraintTerms(problem, totalDOF, Bsc, ddP_des1, Q1,
                                        q_bias1)

        #mot.addSoftPointConstraintTerms(problem, totalDOF, Bp, ddP_des2, Q2, q_bias2)

        #mot.addConstraint(problem, totalDOF, JsupL, dJsupL, dth_flat, a_sup)
        #mot.addConstraint(problem, totalDOF, JsupR, dJsupR, dth_flat, a_sup2)

        desLinearAccL = [0, 0, 0]
        desAngularAccL = [0, 0, 0]
        desLinearAccR = [0, 0, 0]
        desAngularAccR = [0, 0, 0]

        refPos = motionModel.getBodyPositionGlobal(supL)
        refPos[0] += ModelOffset[0]
        refPos[1] = 0

        refVel = motionModel.getBodyVelocityGlobal(supL)
        curPos = controlModel.getBodyPositionGlobal(supL)
        #curPos[1] = 0
        curVel = controlModel.getBodyVelocityGlobal(supL)
        refAcc = (0, 0, 0)

        if stage == 3:
            refPos = curPos
            refPos[1] = 0
            if curPos[1] < 0.0:
                curPos[1] = 0
        else:
            curPos[1] = 0
        rd_DesPosL[0] = refPos

        #(p_r, p, v_r, v, a_r, Kt, Dt)
        desLinearAccL = yct.getDesiredAcceleration(refPos, curPos, refVel,
                                                   curVel, refAcc, Kk, Dk)
        #desLinearAccL[1] = 0

        refPos = motionModel.getBodyPositionGlobal(supR)
        refPos[0] += ModelOffset[0]
        refPos[1] = 0

        refVel = motionModel.getBodyVelocityGlobal(supR)
        curPos = controlModel.getBodyPositionGlobal(supR)
        #curPos[1] = 0
        curVel = controlModel.getBodyVelocityGlobal(supR)

        if stage == 3:
            refPos = curPos
            refPos[1] = 0
            if curPos[1] < 0.0:
                curPos[1] = 0
        else:
            curPos[1] = 0
        rd_DesPosR[0] = refPos

        desLinearAccR = yct.getDesiredAcceleration(refPos, curPos, refVel,
                                                   curVel, refAcc, Kk, Dk)
        #desLinearAccR[1] = 0

        #(th_r, th, dth_r, dth, ddth_r, Kt, Dt)
        refAng = [preFootOrientationL]
        curAng = [controlModel.getBodyOrientationGlobal(supL)]
        refAngVel = motionModel.getBodyAngVelocityGlobal(supL)
        curAngVel = controlModel.getBodyAngVelocityGlobal(supL)
        refAngAcc = (0, 0, 0)

        #desAngularAccL = yct.getDesiredAngAccelerations(refAng, curAng, refAngVel, curAngVel, refAngAcc, Kk, Dk)
        curAngY = np.dot(curAng, np.array([0, 1, 0]))
        aL = mm.logSO3(mm.getSO3FromVectors(curAngY[0], np.array([0, 1, 0])))
        print("curAngYL=", curAngY, "aL=", aL)
        desAngularAccL = [Kk * aL + Dk * (refAngVel - curAngVel)]

        refAng = [preFootOrientationR]
        curAng = [controlModel.getBodyOrientationGlobal(supR)]
        refAngVel = motionModel.getBodyAngVelocityGlobal(supR)
        curAngVel = controlModel.getBodyAngVelocityGlobal(supR)
        refAngAcc = (0, 0, 0)

        #desAngularAccR = yct.getDesiredAngAccelerations(refAng, curAng, refAngVel, curAngVel, refAngAcc, Kk, Dk)
        curAngY = np.dot(curAng, np.array([0, 1, 0]))
        aL = mm.logSO3(mm.getSO3FromVectors(curAngY[0], np.array([0, 1, 0])))
        desAngularAccR = [Kk * aL + Dk * (refAngVel - curAngVel)]

        print("curAngYR=", curAngY, "aL=", aL)

        a_sup_2 = [
            desLinearAccL[0], desLinearAccL[1], desLinearAccL[2],
            desAngularAccL[0][0], desAngularAccL[0][1], desAngularAccL[0][2],
            desLinearAccR[0], desLinearAccR[1], desLinearAccR[2],
            desAngularAccR[0][0], desAngularAccR[0][1], desAngularAccR[0][2]
        ]

        if stage == 2:  #or stage == 3:
            refAccL = motionModel.getBodyAccelerationGlobal(supL)
            refAndAccL = motionModel.getBodyAngAccelerationGlobal(supL)
            refAccR = motionModel.getBodyAccelerationGlobal(supR)
            refAndAccR = motionModel.getBodyAngAccelerationGlobal(supR)
            a_sup_2 = [
                refAccL[0], refAccL[1], refAccL[2], refAndAccL[0],
                refAndAccL[1], refAndAccL[2], refAccR[0], refAccR[1],
                refAccR[2], refAndAccR[0], refAndAccR[1], refAndAccR[2]
            ]
            '''
            a_sup_2 = [0,0,0, desAngularAccL[0][0], desAngularAccL[0][1], desAngularAccL[0][2], 
                       0,0,0, desAngularAccR[0][0], desAngularAccR[0][1], desAngularAccR[0][2]]
            '''

        Jsup_2 = np.vstack((JsupL, JsupR))
        dJsup_2 = np.vstack((dJsupL, dJsupR))

        if flagContact == True:
            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_2, dJsup_2, dth_flat,
                          a_sup_2)
        #mot.setConstraint(problem, totalDOF, JsupR, dJsupR, dth_flat, a_sup2)
        #mot.setConstraint(problem, totalDOF, Jsup_2, dJsup_2, dth_flat, a_sup_2)
        #mot.addConstraint(problem, totalDOF, Jsup_2, dJsup_2, d_th_IK_flat, a_sup_2)
        '''
        jZ = np.dot(dJsup_2.T, dJsup_2)

        lamda = 0.001

        for i in range(len(jZ)):
            for j in range(len(jZ[0])):
                if i == j :
                    jZ[i][j] += lamda

        jZInv = npl.pinv(jZ)
        jA = np.dot(Jsup_2, np.dot(jZInv, np.dot(dJsup_2.T, -Jsup_2)))
        mot.addConstraint2(problem, totalDOF, jA, a_sup_2)
        '''

        r = problem.solve()
        problem.clear()
        ype.nested(r['x'], 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)

            vpWorld.applyPenaltyForce(bodyIDs, contactPositionLocals,
                                      contactForces)

            controlModel.setDOFAccelerations(ddth_sol)
            controlModel.solveHybridDynamics()

            extraForce[0] = viewer.GetForce()
            if (extraForce[0][0] != 0 or extraForce[0][1] != 0
                    or extraForce[0][2] != 0):
                forceApplyFrame += 1
                vpWorld.applyPenaltyForce(selectedBodyId, localPos, extraForce)
                applyedExtraForce[0] = extraForce[0]

            if forceApplyFrame * wcfg.timeStep > 0.1:
                viewer.ResetForce()
                forceApplyFrame = 0

            vpWorld.step()

        # rendering
        rd_footCenter[0] = footCenter
        rd_footCenterL[0] = preFootCenterL
        rd_footCenterR[0] = preFootCenterR

        rd_CM[0] = CM

        rd_CM_plane[0] = CM_plane.copy()

        rd_footCenter_ref[0] = footCenter_ref
        rd_CM_plane_ref[0] = CM_plane_ref.copy()

        #rd_CM_plane[0][1] = 0.

        if CP != None and dCP != None:
            rd_CP[0] = CP
            rd_CP_des[0] = CP_des

        rd_dL_des_plane[0] = dL_des_plane
        rd_dH_des[0] = dH_des

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

        rd_exf_des[0] = applyedExtraForce[0]
        #print("rd_exf_des", rd_exf_des[0])
        rd_root_des[0] = rootPos[0]

        rd_CMP[0] = softConstPoint

        rd_soft_const_vec[0] = controlModel.getBodyPositionGlobal(
            constBody) - softConstPoint

        #if (applyedExtraForce[0][0] != 0 or applyedExtraForce[0][1] != 0 or applyedExtraForce[0][2] != 0) :
        if (forceApplyFrame == 0):
            applyedExtraForce[0] = [0, 0, 0]

    viewer.setPreFrameCallback_Always(preCallback)
    viewer.setSimulateCallback(simulateCallback)

    viewer.startTimer(1 / 60.)
    viewer.show()

    Fl.run()
def main():
    # np.set_printoptions(precision=4, linewidth=200)
    np.set_printoptions(precision=4, linewidth=1000, threshold=np.inf)

    #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
    time_step = dartModel.world.time_step()
    # dartModel.initializeForwardDynamics()
    # 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 = 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', yr.DartModelRenderer(dartMotionModel, (150,150,255), 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))]
    extendedFootName = ['Foot']
    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}

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

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

    ###################################
    # 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)
        # ddth_des = yct.getDesiredDOFAccelerations(th_r, th, None, dth, None, 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)

        #################################################
        # jacobian
        #################################################
        contact_des_ids = [dartModel.skeleton.bodynode_index("LeftFoot")]
        contact_ids = list()  # temp idx for balancing
        contact_ids.extend(contact_des_ids)

        contact_joint_ori = list(map(dartModel.getJointOrientationGlobal, contact_ids))
        contact_joint_pos = list(map(dartModel.getJointPositionGlobal, contact_ids))
        contact_body_ori = list(map(dartModel.getBodyOrientationGlobal, contact_ids))
        contact_body_pos = list(map(dartModel.getBodyPositionGlobal, contact_ids))
        contact_body_vel = list(map(dartModel.getBodyVelocityGlobal, contact_ids))
        contact_body_angvel = list(map(dartModel.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(dartMotionModel.getBodyOrientationGlobal, contact_ids))
        ref_body_pos = list(map(dartMotionModel.getBodyPositionGlobal, contact_ids))

        for idx in range(len(ref_body_pos)):
            ref_body_pos[idx] = dartModel.skeleton.body("RightFoot").shapenodes[0].shape.size()[1]/2.
        # 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))]

        is_contact = [1] * len(contact_ids)
        contact_right = len(set(contact_des_ids).intersection(rIDlist)) > 0
        contact_left = len(set(contact_des_ids).intersection(lIDlist)) > 0

        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

        # contMotionOffset = th[0][0] - th_r[0][0]
        contMotionOffset = dartModel.getBodyPositionGlobal(0) - dartMotionModel.getBodyPositionGlobal(0)
        contMotionOffset = np.zeros(3)

        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 jacobian
        body_num = dartModel.getBodyNum()
        Jsys = np.zeros((6*body_num, totalDOF))
        dJsys = np.zeros((6*body_num, totalDOF))
        Jsys_, dJsysdq = compute_J_dJdq(dartModel.skeleton)
        # 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), :]
        dJsysdq = np.dot(dJsys, dartModel.skeleton.dq)
        # print(Jsys_ - Jsys)
        # print(Jsys_.dot(dth_flat))
        # print(Jsys.dot(dth_flat))
        # print(dartModel.getBody(0).world_linear_velocity())
        # print(np.dot(Jsys[:3, :3], Jsys[0:3, 3:6].T))
        print('dq', np.asarray(dartModel.skeleton.dq)[6:9])
        print('joint vel', dartModel.skeleton.joint(1).velocity())
        # print('bjoint', mm.exp(dartModel.skeleton.q[6:9]).dot(get_bjoint_jacobian(dartModel.skeleton.q[6:9]).dot(np.asarray(dartModel.skeleton.dq)[6:9])))
        # print('not bjoint', mm.exp(dartModel.skeleton.q[6:9]).dot(np.asarray(dartModel.skeleton.dq)[6:9]))
        print('frombody', dartModel.getJointOrientationGlobal(1).T.dot(dartModel.getJointAngVelocityGlobal(1) - dartModel.getJointAngVelocityGlobal(0)))

        print('ddq', np.asarray(dartModel.skeleton.ddq)[6:9])
        # print('bjoint', mm.exp(dartModel.skeleton.q[6:9]).dot(get_bjoint_jacobian(dartModel.skeleton.q[6:9]).dot(np.asarray(dartModel.skeleton.dq)[6:9])))
        # print('not bjoint', mm.exp(dartModel.skeleton.q[6:9]).dot(np.asarray(dartModel.skeleton.dq)[6:9]))

        bodybody = dartModel.skeleton.body(1)
        joint_trans = dartModel.skeleton.joint(1).get_world_frame_after_transform()
        joint_pos = bodybody.to_local(joint_trans[:3, 3])
        print('com spati', dartModel.getJointOrientationGlobal(1).T.dot(
            dartModel.skeleton.body(1).world_angular_acceleration() - dartModel.skeleton.body(0).world_angular_acceleration()))

        J_contacts = []  # type: list[np.ndarray]
        dJ_contacts = []  # type: list[np.ndarray]
        for contact_id in contact_ids:
            J_contacts.append(Jsys[6*contact_id:6*contact_id + 6, :])
            dJ_contacts.append(dJsysdq[6*contact_id:6*contact_id + 6])

        #calculate footCenter
        footCenter = .5 * (footCenterL + footCenterR) + footOffset
        if contact == 2:
            footCenter = footCenterL.copy() + footOffset
        #elif contact == 1 or footCenterL[1] > doubleTosingleOffset/2:
        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
        # 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_plane = footCenter
        CM_ref_plane[1] = dartMotionModel.skeleton.com()[1]
        dL_des_plane = Kl*totalMass*(CM_ref_plane - CM) - Dl*totalMass*dCM
        # dL_des_plane[1] = 0.

        # 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 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 = mm.cross(CP_des[0] - CM, dL_des_plane + totalMass*mm.s2v(wcfg.gravity))
        else:
            dH_des = None

        # set up equality constraint
        a_oris = list(map(mm.logSO3, [mm.getSO3FromVectors(np.dot(contact_body_ori[i], mm.unitY()), mm.unitY()) for i in range(len(contact_body_ori))]))
        KT_SUP = np.diag([kt_sup/10., kt_sup, kt_sup/10.])
        a_sups = [np.append(np.dot(KT_SUP, (ref_body_pos[i] - contact_body_pos[i] + contMotionOffset)) - dt_sup * contact_body_vel[i],
                            kt_sup*a_oris[i] - dt_sup * contact_body_angvel[i]) for i in range(len(a_oris))]
        # print(a_sups)
        # print(np.asarray(dartModel.skeleton.dq)[0:3])
        # print(dartModel.getJointAngVelocityGlobal(0))
        # print(dartModel.getJointAngVelocityLocal(0))

        # 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

        # print('vel2', np.dot(dartModel.getJointOrientationGlobal(0).T, dartModel.skeleton.body(0).world_linear_velocity()))
        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)

            if True:
                for c_idx in range(len(contact_ids)):
                    mot.addConstraint2(problem, totalDOF, J_contacts[c_idx], dJ_contacts[c_idx], a_sups[c_idx])

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

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

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

        _bodyIDs, _contactPositions, _contactPositionLocals, _contactForces = [], [], [], []
        for i in range(stepsPerFrame):
            # apply penalty force
            _ddq, _tau, _bodyIDs, _contactPositions, _contactPositionLocals, _contactForces = hqp.calc_QP(dartModel.skeleton, ddth_sol_flat, inv_h)
            # _bodyIDs, _contactPositions, _contactPositionLocals, _contactForces = dartModel.calcPenaltyForce(bodyIDsToCheck,mus, Ks, Ds)
            dartModel.applyPenaltyForce(_bodyIDs, _contactPositionLocals, _contactForces)
            dartModel.skeleton.set_forces(_tau)
            # dartModel.setDOFAccelerations(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()

        del bodyIDs[:]
        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(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()
Example #4
0
def main():
    np.set_printoptions(precision=4, linewidth=200)
    # np.set_printoptions(precision=4, linewidth=1000, threshold=np.inf)

    #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()
    if not DART_CONTACT_ON:
        dartModel.initContactPoint()

    #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()
    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(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, (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.reset = False
    def viewer_reset(object):
        viewer.reset = True

    viewer.objectInfoWnd.addBtn('Force on', viewer_SetForceState)
    viewer.objectInfoWnd.addBtn('reset', viewer_reset)
    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, config['PDweightMap'])

    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(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)
        Dt = Kt/100.
        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)

        # ik_solver.setInitPose(motion[frame])
        # ik_solver.addConstraints(supL, np.zeros(3), footCenterL, footBodyOriL, (True, True, True, True))
        # ik_solver.addConstraints(supR, np.zeros(3), footCenterR, footBodyOriR, (True, True, True, True))
        # ik_solver.addConstraints(4, np.zeros(3), torso_pos, torso_ori, (False, False, False, True))
        # ik_solver.solve(des_com)
        # ik_solver.clear()

        # 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)


        #################################################
        # 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 = 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
            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), :]
        # dJsys = (Jsys - Jpre[0])/frame_step_size
        # Jpre[0] = Jsys.copy()

        JsupL = dartModel.getBody(supL).world_jacobian()[range(-3, 3), :]
        dJsupL = dartModel.getBody(supL).world_jacobian_classic_deriv()[range(-3, 3), :]
        # dJsupL = np.zeros_like(JsupL)
        # dJsupL =  (JsupL - Jpre[1])/frame_step_size
        # Jpre[1] = JsupL.copy()

        JsupR = dartModel.getBody(supR).world_jacobian()[range(-3, 3), :]
        dJsupR = dartModel.getBody(supR).world_jacobian_classic_deriv()[range(-3, 3), :]
        # dJsupR = np.zeros_like(JsupR)
        # dJsupR =  (JsupR - Jpre[2])/frame_step_size
        # Jpre[2] = JsupR.copy()

        #calculate footCenter
        footCenter = .5 * (footCenterL + footCenterR) + footOffset
        #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() + footOffset
        #elif contact == 1 or footCenterL[1] > doubleTosingleOffset/2:
        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)
        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.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'])
        # 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)
            #bodyIDs, contactPositions, contactPositionLocals, contactForces, contactVelocities = vpWorld.calcManyPenaltyForce(0, bodyIDsToCheck, mus, Ks, Ds)

            # dartModel.skeleton.set_accelerations(ddth_sol)
            # dartModel.skeleton.set_accelerations(ddth_des_flat)
            # dartModel.skeleton.set_forces(np.zeros(totalDOF))
            # ddth_des_flat[:6] = np.zeros(6)
            th_r_flat = dartMotionModel.get_q()
            ddth_des_flat = pdcontroller.compute_flat(th_r_flat)
            dartModel.skeleton.set_forces(ddth_des_flat)

            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)
        if viewer.reset:
            viewer.reset = False
            dartModel.reset()

        # print(dartModel.getCOM())

        # 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()
Example #5
0
def main():
    np.set_printoptions(precision=4, linewidth=200)

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

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

    #controlModel2 = cvm.VpControlModel(vpWorld, motion[0], mcfg)

    vpWorld.initialize()
    controlModel.initializeHybridDynamics()
    controlModel.translateByOffset((1.5, 0, 0))

    #controlModel2.initializeHybridDynamics()
    #controlModel2.translateByOffset((2.5,0,0))

    totalDOF = controlModel.getTotalDOF()
    DOFs = controlModel.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'])
    sup = motion[0].skeleton.getJointIndex(config['supLink'])

    sup2 = motion[0].skeleton.getJointIndex(config['supLink2'])

    # jacobian
    Jsup = yjc.makeEmptyJacobian(DOFs, 1)
    dJsup = Jsup.copy()

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

    supJointMasks = [yjc.getLinkJointMask(motion[0].skeleton, sup)]
    allLinkJointMasks = yjc.getAllLinkJointMasks(motion[0].skeleton)

    Jsup2 = yjc.makeEmptyJacobian(DOFs, 1)
    dJsup2 = Jsup2.copy()

    supJointMasks2 = [yjc.getLinkJointMask(motion[0].skeleton, sup2)]

    CMJointMask = supJointMasks
    for iMask in range(len(CMJointMask[0])):
        if supJointMasks2[0][iMask] == 1:
            CMJointMask[0][iMask] = 1

    Jt = yjc.makeEmptyJacobian(DOFs, 1)

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

    # optimization
    problem = yac.LSE(totalDOF, 6)
    a_sup = (0, 0, 0, 0, 0, 0)
    CP_old = [mm.v3(0., 0., 0.)]

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

    ##### Parameter
    '''
    (0, 'Hips')
    (1, 'LeftUpLeg')
    (2, 'LeftLeg')
    (3, 'LeftFoot')
    (4, 'RightUpLeg')
    (5, 'RightLeg')
    (6, 'RightFoot')
    (7, 'Spine')
    (8, 'Spine1')
    (9, 'LeftArm')
    (10, 'LeftForeArm')
    (11, 'RightArm')
    (12, 'RightForeArm')
    '''
    Kp = [None] * len(bodyIDsToCheck)
    Kd = [None] * len(bodyIDsToCheck)
    #Kp = [0,  400, 450, 400,  400, 450, 400,  300, 250,   60, 25, 60, 25]
    #Kp = [0,  450, 450, 400,  450, 450, 400,  450, 300,   100, 25, 100, 25]

    UpLeg = 310
    Leg = 400
    Foot = 310
    Spine = 350
    Neck = 200
    Arm = 10
    Hand = 10
    Kp = [
        0, UpLeg, Leg, Foot, UpLeg, Leg, Foot, Spine, Neck, Arm, Hand, Arm,
        Hand
    ]
    '''
    for i in range(0, len(Kp)) :
        Kp[i] = Kp[i]*0.8
    '''

    #Kd = [0,  0, 0, 0,    0, 0, 0,    0, 0,  0, 0, 0, 0]
    #Kd = [0,  2.0, 1.5, 1.2,    2.0, 1.5, 1.2,    2.0, 0.1,  0.1, 0.1, 0.1, 0.1]
    #Kd = [0,  1.5, 2.0, 1.2,    1.5, 2.0, 1.2,    1.5, 0.4,  0.5, 0.2, 0.5, 0.2]
    '''
    dUpLeg = 1.7
    dLeg = 1.7
    dFoot = 1.2
    dSpine = 1.4
    dNeck = 0.9
    dArm = 0.8
    dHand = 0.2
    '''
    dUpLeg = 2 * (UpLeg**.5)
    dLeg = 2 * (Leg**.5)
    dFoot = 2 * (Foot**.5)
    dSpine = 2 * (Spine**.5)
    dNeck = 2 * (Neck**.5)
    dArm = 2 * (Arm**.5)
    dHand = 2 * (Hand**.5)

    Kd = [
        0, dUpLeg, dLeg, dFoot, dUpLeg, dLeg, dFoot, dSpine, dNeck, dArm,
        dHand, dArm, dHand
    ]

    for i in range(0, len(Kd)):
        Kd[i] = Kd[i] * 0.022
    '''
    for ii in bodyIDsToCheck :
        print(ii, controlModel.index2name(ii))
    '''

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

    # viewer
    rd_footCenter = [None]
    rd_footCenter1 = [None]
    rd_footCenter2 = [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_vf = [None]

    rd_contactPoint1 = [None]
    rd_contactPoint2 = [None]

    viewer = ysv.SimpleViewer()
    #    viewer.record(False)
    #    viewer.doc.addRenderer('control', 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_FILL))
    #viewer.doc.addRenderer('controlModel2', cvr.VpModelRenderer(controlModel2, (155,100,100), yr.POLYGON_FILL))

    #viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
    #viewer.doc.addRenderer('rd_footCenter1', yr.PointsRenderer(rd_footCenter1, (255, 0, 255)))
    #viewer.doc.addRenderer('rd_footCenter2', yr.PointsRenderer(rd_footCenter2, (0, 255, 255)))
    #viewer.doc.addRenderer('rd_CM_plane', yr.PointsRenderer(rd_CM_plane, (255,255,0)))
    #viewer.doc.addRenderer('rd_CM', yr.PointsRenderer(rd_CM, (255,255,0)))

    #viewer.doc.addRenderer('rd_contactPoint', yr.PointsRenderer(rd_contactPoint1, (0,0,255)))
    #viewer.doc.addRenderer('rd_contactPoint2', yr.PointsRenderer(rd_contactPoint2, (0,255,255)))
    #viewer.doc.addRenderer('rd_CP', yr.PointsRenderer(rd_CP, (255,0,255)))
    #    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_vf',
                           yr.ForcesRenderer(rd_vf, rd_CM, (0, 0, 255), .005))

    global stage
    stage = 0

    def simulateCallback(frame):
        motionModel.update(motion[frame])

        # tracking
        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)
        '''
        th2 = controlModel2.getDOFPositions()
        dth2 = controlModel2.getDOFVelocities()
        ddth_des2 = yct.getDesiredDOFAccelerations(th_r, th2, dth_r, dth2, ddth_r, Kt, Dt)
        '''

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

        #Control

        #tracking control
        #print(Kt, Dt)
        #Tpd = yct.getDesiredDOFTorques(th_r, th, dth_r, dth, 100.0, 0.1)#0.65, 0.031)

        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)
        footCenter1 = controlModel.getBodyPositionGlobal(sup)
        footCenter2 = controlModel.getBodyPositionGlobal(sup2)
        footCenter = (footCenter1 + footCenter2) / 2
        '''
        yjc.computeJacobian2(Jt, DOFs, jointPositions, jointAxeses, [CM], CMJointMask)

        pHatCom = CM - footCenter
        vCom = dCM
        '''

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

        CP_ref = footCenter
        bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(
            bodyIDsToCheck, mus, Ks, Ds)
        CP = yrp.getCP(contactPositions, contactForces)

        if CP_old[0] == None or CP == None:
            dCP = None
        else:
            dCP = (CP - CP_old[0]) / (1 / 30.)
        CP_old[0] = CP

        if CP != None and dCP != 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)))
        else:
            dH_des = None

        ################
        '''
        linkPositions = motionModel.getBodyPositionsGlobal()
        linkVelocities = motionModel.getBodyVelocitiesGlobal()
        linkAngVelocities = motionModel.getBodyAngVelocitiesGlobal()
        linkInertias = motionModel.getBodyInertiasGlobal()
                    
        CM2 = yrp.getCM(linkPositions, linkMasses, totalMass)
        dCM2 = yrp.getCM(linkVelocities, linkMasses, totalMass)            
        footCenter1 = motionModel.getBodyPositionGlobal(sup)
        footCenter2 = motionModel.getBodyPositionGlobal(sup2)
        footCenter = (footCenter1+footCenter2)/2
        pHatComDes = CM2 - footCenter
        vComDes = dCM2

        Wcp = -750
        Wcv = -10
        fCom = Wcp*(pHatComDes - pHatCom) + Wcv*(vComDes - vCom)
        '''

        #print("VirtualForce", fCom)
        #fCom[0] = 0.
        #fCom[1] = 0.
        #fCom[2] = -20.
        #fCom = [0., 0., 100.]
        #print("VirtualForce", fCom)

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

            controlModel.setDOFAccelerations(ddth_des)

            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)
            footCenter1 = controlModel.getBodyPositionGlobal(sup)
            footCenter2 = controlModel.getBodyPositionGlobal(sup2)
            footCenter = (footCenter1 + footCenter2) / 2

            CM_plane = copy.copy(CM)
            CM_plane[1] = 0.
            footCenter_plane = copy.copy(footCenter)
            footCenter_plane[1] = 0.

            yjc.computeJacobian2(Jt, DOFs, jointPositions, jointAxeses, [CM],
                                 CMJointMask)

            pHatCom = CM - footCenter
            vCom = dCM

            linkPositions2 = motionModel.getBodyPositionsGlobal()
            linkVelocities2 = motionModel.getBodyVelocitiesGlobal()
            linkAngVelocities2 = motionModel.getBodyAngVelocitiesGlobal()
            linkInertias2 = motionModel.getBodyInertiasGlobal()

            CM2 = yrp.getCM(linkPositions2, linkMasses, totalMass)
            dCM2 = yrp.getCM(linkVelocities2, linkMasses, totalMass)
            footCenter1 = motionModel.getBodyPositionGlobal(sup)
            footCenter2 = motionModel.getBodyPositionGlobal(sup2)
            footCenter = (footCenter1 + footCenter2) / 2
            pHatComDes = CM2 - footCenter
            vComDes = dCM2

            Wcp = 0
            Wcv = 0
            Wcm = 0
            '''
            0 : initial
            1 : contact
            2 : fly
            3 : landing
            '''

            global stage
            if len(contactForces) == 0:
                if stage == 1:
                    stage = 2
                    print("fly")
            else:
                if stage == 0:
                    stage = 1
                    print("contact")
                elif stage == 2:
                    stage = 3
                    print("landing")

            Wcp = -550
            Wcv = -100
            Wcm = 0

            if stage == 1:
                Wcp = -550
                Wcv = -100
                Wcm = 0
                #Wcp = -550
                #Wcv = -100
            elif stage == 3:
                #Wcp = -950
                #Wcv = -300
                Wcp = -950
                Wcv = -300
                Wcm = 0

            # COM Position control
            fCom = Wcp * (pHatComDes - pHatCom) + Wcv * (
                vComDes - vCom) + Wcm * (footCenter_plane - CM_plane)

            if len(contactForces) == 0:
                fCom[0] = 0.
                fCom[1] = -10.  #-10
                fCom[2] = 0.
            '''
            fCom[0] = 10.
            fCom[1] = 0.
            fCom[2] = 250.
            '''

            # Angular Momentum control
            L_ref = 0
            L_con = 0
            #R,i
            for i in range(1, controlModel.getBodyNum()):
                L_ref += (
                    linkMasses[i] *
                    np.cross(linkPositions2[i] - [CM], linkVelocities2[i]) +
                    linkInertias2[i] * linkAngVelocities2[i])
                L_con += (
                    linkMasses[i] *
                    np.cross(linkPositions[i] - [CM], linkVelocities[i]) +
                    linkInertias[i] * linkAngVelocities[i])

            for iJoint in range(1, 7):  # from 'LeftUpLeg'(1) to 'RightFoot'(6)
                JpT1 = (Jt[0][6 + 3 * (iJoint - 1)],
                        Jt[1][6 + 3 * (iJoint - 1)],
                        Jt[2][6 + 3 * (iJoint - 1)])
                JpT2 = (Jt[0][6 + 3 * (iJoint - 1) + 1],
                        Jt[1][6 + 3 * (iJoint - 1) + 1],
                        Jt[2][6 + 3 * (iJoint - 1) + 1])
                JpT3 = (Jt[0][6 + 3 * (iJoint - 1) + 2],
                        Jt[1][6 + 3 * (iJoint - 1) + 2],
                        Jt[2][6 + 3 * (iJoint - 1) + 2])
                Tfi = (np.dot(JpT1, fCom), np.dot(JpT2,
                                                  fCom), np.dot(JpT3, fCom))
                currentT = controlModel.getJointAngAccelerationLocal(iJoint)
                controlModel.setJointAngAccelerationLocal(
                    iJoint, currentT + Tfi)

            currentT = controlModel.getJointAngAccelerationLocal(0)
            #print(currentT)
            #JpT = ( Jt[0][0], Jt[1][0], Jt[2][0])
            #Tfi = JpT*fCom
            #controlModel.setJointAngAccelerationLocal(0, currentT+Tfi)
            '''
            if (len(contactForces) != 0) :
                for iJoint in range(1, 7): # from 'LeftUpLeg'(1) to 'RightFoot'(6)
                    JpT = ( Jt[0][6+3*(iJoint-1)], Jt[1][6+3*(iJoint-1)], Jt[2][6+3*(iJoint-1)])
                    Tfi = JpT*fCom
                    currentT = controlModel.getJointAngAccelerationLocal(iJoint)
                    controlModel.setJointAngAccelerationLocal(iJoint, currentT+Tfi)
            else:
                print("No Contact force!!")
            '''

            controlModel.solveHybridDynamics()

            vpWorld.step()

        # rendering

        rd_CM[0] = CM

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

        if CP != None and dCP != None:
            rd_CP[0] = CP
            rd_CP_des[0] = CP_des

        rd_dL_des_plane[0] = dL_des_plane
        rd_dH_des[0] = dH_des

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

    viewer.setSimulateCallback(simulateCallback)

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

    Fl.run()
Example #6
0
def main():

    np.set_printoptions(precision=4, linewidth=200)

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

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

    ModelOffset = (1.5, -0.01, 0)
    controlModel.translateByOffset(ModelOffset)

    totalDOF = controlModel.getTotalDOF()
    DOFs = controlModel.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'])
    w2 = mot.getTrackingWeight(DOFs, motion[0].skeleton, config['weightMap2'])
    w_IK = mot.getTrackingWeight(DOFs, motion[0].skeleton,
                                 config['IKweightMap'])
    supL = motion[0].skeleton.getJointIndex(config['supLink'])
    supR = motion[0].skeleton.getJointIndex(config['supLink2'])
    rootB = motion[0].skeleton.getJointIndex(config['root'])

    foreSupL = motion[0].skeleton.getJointIndex(config['leftForeFoot'])
    foreSupR = motion[0].skeleton.getJointIndex(config['rightForeFoot'])
    rearSupL = motion[0].skeleton.getJointIndex(config['leftRearFoot'])
    rearSupR = motion[0].skeleton.getJointIndex(config['rightRearFoot'])

    selectedBody = motion[0].skeleton.getJointIndex(config['end'])
    #constBody = motion[0].skeleton.getJointIndex('LeftForeArm')
    constBody = motion[0].skeleton.getJointIndex(config['const'])

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

    JsupR = yjc.makeEmptyJacobian(DOFs, 1)
    dJsupR = JsupR.copy()
    JsupPreR = JsupR.copy()

    Jsup = yjc.makeEmptyJacobian(DOFs, 1)
    dJsup = Jsup.copy()
    JsupPre = Jsup.copy()

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

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

    JforeSupL = yjc.makeEmptyJacobian(DOFs, 1)
    dJforeSupL = JforeSupL.copy()
    JforeSupR = yjc.makeEmptyJacobian(DOFs, 1)
    dJforeSupR = JforeSupR.copy()
    JrearSupL = yjc.makeEmptyJacobian(DOFs, 1)
    dJrearSupL = JrearSupL.copy()
    JrearSupR = yjc.makeEmptyJacobian(DOFs, 1)
    dJrearSupR = JrearSupR.copy()

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

    foreSupLJointMasks = [yjc.getLinkJointMask(motion[0].skeleton, foreSupL)]
    foreSupRJointMasks = [yjc.getLinkJointMask(motion[0].skeleton, foreSupR)]
    rearSupLJointMasks = [yjc.getLinkJointMask(motion[0].skeleton, rearSupL)]
    rearSupLJointMasks = [yjc.getLinkJointMask(motion[0].skeleton, rearSupR)]

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

    # optimization
    problem = yac.LSE(totalDOF, 6)
    a_sup = (0, 0, 0, 0, 0, 0)  #L
    #a_sup2 = (0,0,0, 0,0,0)#R
    a_sup2 = [0, 0, 0, 0, 0, 0]  #R
    a_sup_2 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
    CP_old = [mm.v3(0., 0., 0.)]

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

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

    d_th_IK = ype.makeNestedList(DOFs)
    d_th_IK_L = ype.makeNestedList(DOFs)
    d_th_IK_R = ype.makeNestedList(DOFs)
    dd_th_IK = ype.makeNestedList(DOFs)
    dd_th_IK_flat = ype.makeFlatList(totalDOF)
    d_th_IK_flat = ype.makeFlatList(totalDOF)
    ddth_c_flat = ype.makeFlatList(totalDOF)

    # viewer
    rd_footCenter = [None]
    rd_footCenter_ref = [None]
    rd_footCenterL = [None]
    rd_footCenterR = [None]
    rd_CM_plane = [None]
    rd_CM_plane_ref = [None]
    rd_CM_ref = [None]
    rd_CM = [None]
    rd_CM_vec = [None]
    rd_CM_ref_vec = [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_root_des = [None]
    rd_soft_const_vec = [None]

    rd_root = [None]

    rd_footL_vec = [None]
    rd_footR_vec = [None]

    rd_CMP = [None]
    rd_DesPosL = [None]
    rd_DesPosR = [None]

    rootPos = [None]
    selectedBodyId = [selectedBody]
    extraForce = [None]
    applyedExtraForce = [None]
    applyedExtraForce[0] = [0, 0, 0]

    normalVector = [[0, 2, 0]]

    viewer = ysv.SimpleViewer()
    #    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_FILL))
    viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
    #viewer.doc.addRenderer('rd_footCenterL', yr.PointsRenderer(rd_footCenterL))
    #viewer.doc.addRenderer('rd_footCenterR', yr.PointsRenderer(rd_footCenterR))
    #viewer.doc.addRenderer('rd_CM_plane', yr.PointsRenderer(rd_CM_plane, (255,255,0)))
    viewer.doc.addRenderer('rd_CM', yr.PointsRenderer(rd_CM, (255, 255, 0)))
    viewer.doc.addRenderer('rd_CP_des',
                           yr.PointsRenderer(rd_CP_des, (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, (0, 255, 255),
                                        .001))

    viewer.doc.addRenderer(
        'rd_exf_des',
        yr.ForcesRenderer(rd_exf_des, rd_root_des, (0, 255, 0), .009, 0.05))

    #viewer.doc.addRenderer('rd_CMP', yr.PointsRenderer(rd_CMP, (0,0,255)))

    viewer.doc.addRenderer('rd_DesPosL',
                           yr.PointsRenderer(rd_DesPosL, (0, 0, 255)))
    viewer.doc.addRenderer('rd_DesPosR',
                           yr.PointsRenderer(rd_DesPosR, (0, 100, 255)))

    #viewer.doc.addRenderer('softConstraint', yr.VectorsRenderer(rd_soft_const_vec, rd_CMP, (255,0,0), 3))

    viewer.doc.addRenderer(
        'rd_footLVec',
        yr.VectorsRenderer(rd_footL_vec, rd_footCenterL, (255, 0, 0), 3))
    viewer.doc.addRenderer(
        'rd_footRVec',
        yr.VectorsRenderer(rd_footR_vec, rd_footCenterL, (255, 255, 0), 3))

    #viewer.doc.addRenderer('rd_footCenter_ref', yr.PointsRenderer(rd_footCenter_ref))
    viewer.doc.addRenderer('rd_CM_plane_ref',
                           yr.PointsRenderer(rd_CM_plane_ref, (255, 255, 0)))

    viewer.doc.addRenderer(
        'rd_refNormalVec',
        yr.VectorsRenderer(normalVector, rd_footCenter_ref, (255, 0, 0), 3))
    viewer.doc.addRenderer(
        'rd_refCMVec',
        yr.VectorsRenderer(rd_CM_ref_vec, rd_footCenter_ref, (255, 0, 255), 3))

    viewer.doc.addRenderer(
        'rd_curNormalVec',
        yr.VectorsRenderer(normalVector, rd_footCenter, (255, 0, 0), 3))
    viewer.doc.addRenderer(
        'rd_CMVec',
        yr.VectorsRenderer(rd_CM_vec, rd_footCenter, (255, 0, 255), 3))

    stage = STATIC_BALANCING

    def simulateCallback(frame):
        global g_initFlag
        global forceShowFrame
        global forceApplyFrame
        global JsysPre
        global JsupPreL
        global JsupPreR
        global JsupPre
        global softConstPoint
        global stage

        motionModel.update(motion[frame])

        Kt, Kk, Kl, Kh, Ksc, Bt, Bl, Bh, Bsc = viewer.GetParam()

        Dt = 2 * (Kt**.5)
        Dk = 2 * (Kk**.5)
        Dl = 2 * (Kl**.5)
        Dh = 2 * (Kh**.5)
        Dsc = 2 * (Ksc**.5)

        if Bsc == 0.0:
            viewer.doc.showRenderer('softConstraint', False)
            viewer.motionViewWnd.update(1, viewer.doc)
        else:
            viewer.doc.showRenderer('softConstraint', True)
            renderer1 = viewer.doc.getRenderer('softConstraint')
            renderer1.rc.setLineWidth(0.1 + Bsc * 3)
            viewer.motionViewWnd.update(1, viewer.doc)

        # tracking
        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)
        ddth_c = controlModel.getDOFAccelerations()

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

        ype.flatten(ddth_c, ddth_c_flat)

        # jacobian
        footCenterL = controlModel.getBodyPositionGlobal(supL)
        footCenterR = controlModel.getBodyPositionGlobal(supR)

        refFootL = motionModel.getBodyPositionGlobal(supL)
        refFootR = motionModel.getBodyPositionGlobal(supR)

        footCenter = footCenterL + (footCenterR - footCenterL) / 2.0
        footCenter[1] = 0.

        footCenter_ref = refFootL + (refFootR - refFootL) / 2.0
        #footCenter_ref[1] = 0.

        foreFootCenterL = controlModel.getBodyPositionGlobal(foreSupL)
        foreFootCenterR = controlModel.getBodyPositionGlobal(foreSupR)
        rearFootCenterL = controlModel.getBodyPositionGlobal(rearSupL)
        rearFootCenterR = controlModel.getBodyPositionGlobal(rearSupR)

        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.

        linkPositions_ref = motionModel.getBodyPositionsGlobal()
        CM_ref = yrp.getCM(linkPositions_ref, linkMasses, totalMass)
        CM_plane_ref = copy.copy(CM_ref)
        CM_plane_ref[1] = 0.

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

        yjc.computeJacobian2(Jsys, DOFs, jointPositions, jointAxeses,
                             linkPositions, allLinkJointMasks)
        #dJsys = (Jsys - JsysPre)/(1/30.)
        #JsysPre = Jsys
        yjc.computeJacobianDerivative2(dJsys, DOFs, jointPositions,
                                       jointAxeses, linkAngVelocities,
                                       linkPositions, allLinkJointMasks)

        if g_initFlag == 0:
            softConstPoint = controlModel.getBodyPositionGlobal(constBody)
            softConstPoint[1] -= .3
            g_initFlag = 1

        yjc.computeJacobian2(JsupL, DOFs, jointPositions, jointAxeses,
                             [footCenterL], supLJointMasks)
        #dJsupL = (JsupL - JsupPreL)/(1/30.)
        #JsupPreL = JsupL
        yjc.computeJacobianDerivative2(dJsupL, DOFs, jointPositions,
                                       jointAxeses, linkAngVelocities,
                                       [footCenterL], supLJointMasks, False)

        yjc.computeJacobian2(JsupR, DOFs, jointPositions, jointAxeses,
                             [footCenterR], supRJointMasks)
        #dJsupR = (JsupR - JsupPreR)/(1/30.)
        #JsupPreR = JsupR
        yjc.computeJacobianDerivative2(dJsupR, DOFs, jointPositions,
                                       jointAxeses, linkAngVelocities,
                                       [footCenterR], supRJointMasks, False)

        bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(
            bodyIDsToCheck, mus, Ks, Ds)
        CP = yrp.getCP(contactPositions, contactForces)

        for i in range(len(bodyIDsToCheck)):
            controlModel.SetBodyColor(bodyIDsToCheck[i], 0, 0, 0)

        flagForeSupLContact = 0
        flagForeSupRContact = 0
        flagRearSupLContact = 0
        flagRearSupLContact = 0

        for i in range(len(bodyIDs)):
            controlModel.SetBodyColor(bodyIDs[i], 255, 105, 105)
            index = controlModel.id2index(bodyIDs[i])
            if index == foreSupL:
                flagForeSupLContact = 1
                yjc.computeJacobian2(JforeSupL, DOFs, jointPositions,
                                     jointAxeses, [foreFootCenterL],
                                     foreSupLJointMasks)
                yjc.computeJacobianDerivative2(dJforeSupL, DOFs,
                                               jointPositions, jointAxeses,
                                               linkAngVelocities,
                                               [foreFootCenterL],
                                               foreSupLJointMasks, False)
            elif index == foreSupR:
                flagForeSupRContact = 1
                yjc.computeJacobian2(JforeSupR, DOFs, jointPositions,
                                     jointAxeses, [foreFootCenterR],
                                     foreSupRJointMasks)
                yjc.computeJacobianDerivative2(dJforeSupR, DOFs,
                                               jointPositions, jointAxeses,
                                               linkAngVelocities,
                                               [foreFootCenterR],
                                               foreSupRJointMasks, False)
            elif index == rearSupL:
                flagRearSupLContact = 1
                yjc.computeJacobian2(JrearSupL, DOFs, jointPositions,
                                     jointAxeses, [rearFootCenterL],
                                     rearSupLJointMasks)
                yjc.computeJacobianDerivative2(dJrearSupL, DOFs,
                                               jointPositions, jointAxeses,
                                               linkAngVelocities,
                                               [rearFootCenterL],
                                               rearSupLJointMasks, False)
            elif index == rearSupR:
                flagRearSupRContact = 1
                yjc.computeJacobian2(JrearSupR, DOFs, jointPositions,
                                     jointAxeses, [rearFootCenterR],
                                     rearSupRJointMasks)
                yjc.computeJacobianDerivative2(dJrearSupR, DOFs,
                                               jointPositions, jointAxeses,
                                               linkAngVelocities,
                                               [rearFootCenterR],
                                               rearSupRJointMasks, False)
        #

        desForeSupLAcc = [0, 0, 0]
        desForeSupRAcc = [0, 0, 0]

        totalNormalForce = [0, 0, 0]

        for i in range(len(contactForces)):
            totalNormalForce[0] += contactForces[i][0]
            totalNormalForce[1] += contactForces[i][1]
            totalNormalForce[2] += contactForces[i][2]

        # linear momentum
        CM_ref_plane = footCenter
        dL_des_plane = Kl * totalMass * (CM_ref_plane -
                                         CM_plane) - Dl * totalMass * dCM_plane

        # angular momentum
        CP_ref = footCenter

        timeStep = 30.
        if CP_old[0] == None or CP == None:
            dCP = None
        else:
            dCP = (CP - CP_old[0]) / (1 / timeStep)
        CP_old[0] = CP

        if CP != None and dCP != None:
            ddCP_des = Kh * (CP_ref - CP) - Dh * (dCP)
            CP_des = CP + dCP * (1 / timeStep) + .5 * ddCP_des * (
                (1 / timeStep)**2)
            dH_des = np.cross(
                (CP_des - CM),
                (dL_des_plane + totalMass * mm.s2v(wcfg.gravity)))
            #dH_des = np.cross((CP_des - CM_plane), (dL_des_plane + totalMass*mm.s2v(wcfg.gravity)))
        else:
            dH_des = None

        CMP = yrp.getCMP(contactForces, CM)
        r = [0, 0, 0]
        if CP != None and np.any(np.isnan(CMP)) != True:
            r = CP - CMP

        # 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)

        ##############################
        # soft point constraint

        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_cur - dP_des)

        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)
        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))

        yjc.computeJacobianDerivative2(dJconst, DOFs, jointPositions,
                                       jointAxeses, linkAngVelocities,
                                       [softConstPoint], constJointMasks,
                                       False)
        q_bias1 = np.dot(np.dot(Z, dJconst), dth_flat) + q2

        ##############################

        flagContact = True
        if dH_des == None or np.any(np.isnan(dH_des)) == True:
            flagContact = False
            viewer.doc.showRenderer('rd_grf_des', False)
            viewer.motionViewWnd.update(1, viewer.doc)
        else:
            viewer.doc.showRenderer('rd_grf_des', True)
            viewer.motionViewWnd.update(1, viewer.doc)
        '''
        0 : initial
        1 : contact
        2 : fly
        3 : landing
        '''

        #MOTION = FORWARD_JUMP
        if mit.MOTION == mit.FORWARD_JUMP:
            frame_index = [136, 100]
        elif mit.MOTION == mit.TAEKWONDO:
            frame_index = [130, 100]
        else:
            frame_index = [1000000, 1000000]

        #MOTION = TAEKWONDO
        #frame_index = [135, 100]

        if frame > frame_index[0]:
            stage = POWERFUL_BALANCING
            Kk = Kk * 2
            Dk = 2 * (Kk**.5)
        elif frame > frame_index[1]:
            stage = MOTION_TRACKING

        trackingW = w
        if stage == MOTION_TRACKING:
            trackingW = w2

        # optimization

        mot.addTrackingTerms(problem, totalDOF, Bt, trackingW, ddth_des_flat)

        mot.addSoftPointConstraintTerms(problem, totalDOF, Bsc, ddP_des1, Q1,
                                        q_bias1)

        if flagContact == True:
            if stage != MOTION_TRACKING:
                mot.addLinearTerms(problem, totalDOF, Bl, dL_des_plane, R,
                                   r_bias)
                mot.addAngularTerms(problem, totalDOF, Bh, dH_des, S, s_bias)

        ##############################
        # Hard constraint

        desLinearAccL = getDesFootLinearAcc(motionModel, controlModel, supL,
                                            ModelOffset, CM_ref, CM, Kk, Dk)
        desLinearAccR = getDesFootLinearAcc(motionModel, controlModel, supR,
                                            ModelOffset, CM_ref, CM, Kk, Dk)

        desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, supL,
                                              Kk, Dk)
        desAngularAccR = getDesFootAngularAcc(motionModel, controlModel, supR,
                                              Kk, Dk)
        '''
        desLinearAccL = [0,0,0]
        desAngularAccL = [0,0,0]
        desLinearAccR = [0,0,0]
        desAngularAccR = [0,0,0]

        refPos = motionModel.getBodyPositionGlobal(supL)  
        curPos = controlModel.getBodyPositionGlobal(supL)
        refRootPos = motionModel.getBodyPositionGlobal(rootB)
        curRootPos = controlModel.getBodyPositionGlobal(rootB)
        refVecL = refPos - CM_ref
        if stage == MOTION_TRACKING:
            refPos = CM + refVecL
            refPos[1] += 0.05
            refPos[0] -= 0.05
        elif stage == POWERFUL_BALANCING:
            refPos = copy.copy(curPos)
            refPos[1] = 0
        else:
            refPos[0] += ModelOffset[0]
        
        rd_root[0] = curRootPos
                        
        refVel = motionModel.getBodyVelocityGlobal(supL) 
        rd_footCenterL[0] = copy.copy(curPos)
        #rd_footCenterL[0][2] += 0.2
        curVel = controlModel.getBodyVelocityGlobal(supL)
        #refAcc = (0,0,0)
        refAcc = motionModel.getBodyAccelerationGlobal(supL)
         
        if stage != MOTION_TRACKING:
            refPos[1] = 0
        
        if refPos[1] < 0.0 :
            refPos[1] = 0.0
        rd_DesPosL[0] = refPos

        desLinearAccL = yct.getDesiredAcceleration(refPos, curPos, refVel, curVel, refAcc, Kk, Dk)
         
        refPos = motionModel.getBodyPositionGlobal(supR)       
        curPos = controlModel.getBodyPositionGlobal(supR)
        refVecR = refPos - CM_ref
        if stage == MOTION_TRACKING:
            refPos = CM + refVecR
            refPos[1] += 0.05
            refPos[0] -= 0.05
        elif stage == POWERFUL_BALANCING:
            refPos = copy.copy(curPos)
            refPos[1] = 0
        else :
            refPos[0] += ModelOffset[0]
        
        refVel = motionModel.getBodyVelocityGlobal(supR) 
        curVel = controlModel.getBodyVelocityGlobal(supR)
        refAcc = motionModel.getBodyAccelerationGlobal(supR)
        
        if stage != MOTION_TRACKING:
            refPos[1] = 0
        
        if refPos[1] < 0.0 :
            refPos[1] = 0.0
        rd_DesPosR[0] = refPos

        desLinearAccR = yct.getDesiredAcceleration(refPos, curPos, refVel, curVel, refAcc, Kk, Dk)

        curAng = [controlModel.getBodyOrientationGlobal(supL)]
        refAngVel = motionModel.getBodyAngVelocityGlobal(supL)
        curAngVel = controlModel.getBodyAngVelocityGlobal(supL)
        refAngAcc = (0,0,0)
                        
        curAngY = np.dot(curAng, np.array([0,1,0]))
        refAngY = np.array([0,1,0])
        if stage == DYNAMIC_BALANCING:    
            refAng = [motionModel.getBodyOrientationGlobal(supL)]
            refAngY2 = np.dot(refAng, np.array([0,1,0]))
            refAngY = refAngY2[0]
            
        rd_footL_vec[0] = refAngY
        rd_footR_vec[0] = curAngY[0]
        aL = mm.logSO3(mm.getSO3FromVectors(curAngY[0], refAngY))
        desAngularAccL = [Kk*aL + Dk*(refAngVel-curAngVel)]      
        
        curAng = [controlModel.getBodyOrientationGlobal(supR)]
        refAngVel = motionModel.getBodyAngVelocityGlobal(supR)
        curAngVel = controlModel.getBodyAngVelocityGlobal(supR)
        refAngAcc = (0,0,0)
        
        curAngY = np.dot(curAng, np.array([0,1,0]))
        refAngY = np.array([0,1,0])
        if stage == DYNAMIC_BALANCING:    
            refAng = [motionModel.getBodyOrientationGlobal(supR)]
            refAngY2 = np.dot(refAng, np.array([0,1,0]))
            refAngY = refAngY2[0]
            
        aL = mm.logSO3(mm.getSO3FromVectors(curAngY[0], refAngY))
        desAngularAccR = [Kk*aL + Dk*(refAngVel-curAngVel)]

        a_sup_2 = [desLinearAccL[0], desLinearAccL[1], desLinearAccL[2], desAngularAccL[0][0], desAngularAccL[0][1], desAngularAccL[0][2], 
                   desLinearAccR[0], desLinearAccR[1], desLinearAccR[2], desAngularAccR[0][0], desAngularAccR[0][1], desAngularAccR[0][2]]
        '''
        a_sup_2 = np.hstack((np.hstack((desLinearAccL, desAngularAccL)),
                             np.hstack((desLinearAccR, desAngularAccR))))

        Jsup_2 = np.vstack((JsupL, JsupR))
        dJsup_2 = np.vstack((dJsupL, dJsupR))

        mot.setConstraint(problem, totalDOF, Jsup_2, dJsup_2, dth_flat,
                          a_sup_2)

        ##############################

        ##############################
        # Additional constraint
        desLinearAccL = [0, 0, 0]
        desAngularAccL = [0, 0, 0]
        desLinearAccR = [0, 0, 0]
        desAngularAccR = [0, 0, 0]

        refPos = motionModel.getBodyPositionGlobal(supL)
        curPos = controlModel.getBodyPositionGlobal(supL)
        refVecL = refPos - CM_ref
        if stage == MOTION_TRACKING:
            refPos = CM + refVecL
            refPos[1] += 0.05
            refPos[0] -= 0.05
        elif stage == POWERFUL_BALANCING:
            refPos = copy.copy(curPos)
            refPos[1] = 0
        else:
            refPos[0] += ModelOffset[0]

        refVel = motionModel.getBodyVelocityGlobal(supL)
        curVel = controlModel.getBodyVelocityGlobal(supL)
        #refAcc = (0,0,0)
        refAcc = motionModel.getBodyAccelerationGlobal(supL)

        if stage != MOTION_TRACKING:
            refPos[1] = 0

        if refPos[1] < 0.0:
            refPos[1] = 0.0

        desLinearAccL = yct.getDesiredAcceleration(refPos, curPos, refVel,
                                                   curVel, refAcc, Kk, Dk)

        curAng = [controlModel.getBodyOrientationGlobal(supL)]
        refAngVel = motionModel.getBodyAngVelocityGlobal(supL)
        curAngVel = controlModel.getBodyAngVelocityGlobal(supL)
        refAngAcc = (0, 0, 0)

        curAngY = np.dot(curAng, np.array([0, 1, 0]))
        refAngY = np.array([0, 1, 0])
        if stage == DYNAMIC_BALANCING:
            refAng = [motionModel.getBodyOrientationGlobal(supL)]
            refAngY2 = np.dot(refAng, np.array([0, 1, 0]))
            refAngY = refAngY2[0]

        rd_footL_vec[0] = refAngY
        rd_footR_vec[0] = curAngY[0]
        aL = mm.logSO3(mm.getSO3FromVectors(curAngY[0], refAngY))
        desAngularAccL = [Kk * aL + Dk * (refAngVel - curAngVel)]

        ##############################

        r = problem.solve()
        problem.clear()
        ype.nested(r['x'], 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)

            vpWorld.applyPenaltyForce(bodyIDs, contactPositionLocals,
                                      contactForces)

            controlModel.setDOFAccelerations(ddth_sol)

            if flagForeSupLContact == 1:
                controlModel.setJointAngAccelerationLocal(
                    foreSupL, (2.1, 0, 0))
            if flagForeSupRContact == 1:
                controlModel.setJointAngAccelerationLocal(
                    foreSupR, (2.1, 0, 0))

            controlModel.solveHybridDynamics()

            extraForce[0] = viewer.GetForce()
            if (extraForce[0][0] != 0 or extraForce[0][1] != 0
                    or extraForce[0][2] != 0):
                forceApplyFrame += 1
                vpWorld.applyPenaltyForce(selectedBodyId, localPos, extraForce)
                applyedExtraForce[0] = extraForce[0]

            if forceApplyFrame * wcfg.timeStep > 0.1:
                viewer.ResetForce()
                forceApplyFrame = 0

            vpWorld.step()

        # rendering
        rd_footCenter[0] = footCenter

        rd_CM[0] = CM.copy()

        rd_CM_plane[0] = CM_plane.copy()

        rd_footCenter_ref[0] = footCenter_ref
        rd_CM_plane_ref[0] = CM_ref.copy()
        rd_CM_ref[0] = CM_ref.copy()
        rd_CM_ref_vec[0] = (CM_ref - footCenter_ref) * 3.
        rd_CM_vec[0] = (CM - footCenter) * 3

        #rd_CM_plane[0][1] = 0.

        if CP != None and dCP != None:
            rd_CP[0] = CP
            rd_CP_des[0] = CP_des

        rd_dL_des_plane[0] = dL_des_plane
        rd_dH_des[0] = dH_des

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

        rd_exf_des[0] = applyedExtraForce[0]
        rd_root_des[0] = rootPos[0]

        rd_CMP[0] = softConstPoint

        rd_soft_const_vec[0] = controlModel.getBodyPositionGlobal(
            constBody) - softConstPoint

        if (forceApplyFrame == 0):
            applyedExtraForce[0] = [0, 0, 0]

    viewer.setSimulateCallback(simulateCallback)

    viewer.startTimer(1 / 60.)
    viewer.show()

    Fl.run()
Example #7
0
def main():

    np.set_printoptions(precision=4, linewidth=200)

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

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

    #ModelOffset = (1.5, -0.01, 0)
    ModelOffset = (1.5, 0.05, 0)
    controlModel.translateByOffset(ModelOffset)

    totalDOF = controlModel.getTotalDOF()
    DOFs = controlModel.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'])
    w2 = mot.getTrackingWeight(DOFs, motion[0].skeleton, config['weightMap2'])
    #w_IK = mot.getTrackingWeight(DOFs, motion[0].skeleton, config['IKweightMap'])
    supL = motion[0].skeleton.getJointIndex(config['supLink'])
    supR = motion[0].skeleton.getJointIndex(config['supLink2'])
    rootB = motion[0].skeleton.getJointIndex(config['root'])

    selectedBody = motion[0].skeleton.getJointIndex(config['end'])
    #constBody = motion[0].skeleton.getJointIndex('LeftForeArm')
    constBody = motion[0].skeleton.getJointIndex(config['const'])

    # jacobian
    Jsup = yjc.makeEmptyJacobian(DOFs, 1)
    dJsup = Jsup.copy()
    JsupPre = Jsup.copy()

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

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

    ###############

    footPartNum = config['FootPartNum']

    indexFootL = [None] * footPartNum
    indexFootR = [None] * footPartNum
    jFootL = [None] * footPartNum
    dJFootL = [None] * footPartNum
    jFootR = [None] * footPartNum
    dJFootR = [None] * footPartNum
    jointMasksFootL = [None] * footPartNum
    jointMasksFootR = [None] * footPartNum

    jAngFootL = [None] * footPartNum
    dJAngFootL = [None] * footPartNum
    jAngFootR = [None] * footPartNum
    dJAngFootR = [None] * footPartNum

    for i in range(footPartNum):
        jFootL[i] = yjc.makeEmptyJacobian(DOFs, 1)
        dJFootL[i] = jFootL[i].copy()
        jFootR[i] = yjc.makeEmptyJacobian(DOFs, 1)
        dJFootR[i] = jFootR[i].copy()

        jAngFootL[i] = yjc.makeEmptyJacobian(DOFs, 1, False)
        dJAngFootL[i] = jAngFootL[i].copy()
        jAngFootR[i] = yjc.makeEmptyJacobian(DOFs, 1, False)
        dJAngFootR[i] = jAngFootR[i].copy()

        indexFootL[i] = motion[0].skeleton.getJointIndex(
            config['FootLPart'][i])
        indexFootR[i] = motion[0].skeleton.getJointIndex(
            config['FootRPart'][i])
        jointMasksFootL[i] = [
            yjc.getLinkJointMask(motion[0].skeleton, indexFootL[i])
        ]
        jointMasksFootR[i] = [
            yjc.getLinkJointMask(motion[0].skeleton, indexFootR[i])
        ]

    constJointMasks = [
        yjc.getLinksJointMask(motion[0].skeleton,
                              [indexFootL[0], indexFootR[0]])
    ]
    #constJointMasks = [yjc.getLinksJointMask(motion[0].skeleton, [indexFootL[0]])]
    #constJointMasks = [yjc.getLinkJointMask(motion[0].skeleton, constBody)]
    allLinkJointMasks = yjc.getAllLinkJointMasks(motion[0].skeleton)
    '''
    maskArray = [foreSupLJointMasks, foreSupRJointMasks, rearSupLJointMasks, rearSupRJointMasks]
    parentArray = [supL, supR, supL, supR]
    effectorArray = [foreSupL, foreSupR, rearSupL, rearSupR]
    for j in range(4) :
        for i in range(len(foreSupLJointMasks)) :
            if i == parentArray[j] or i == effectorArray[j] :
                maskArray[j][0][i] = 1
            else :
                maskArray[j][0][i] = 0
    '''
    # momentum matrix
    linkMasses = controlModel.getBodyMasses()
    totalMass = controlModel.getTotalMass()
    TO = ymt.make_TO(linkMasses)
    dTO = ymt.make_dTO(len(linkMasses))

    # optimization
    problem = yac.LSE(totalDOF, 6)
    a_sup = (0, 0, 0, 0, 0, 0)  #L
    #a_sup2 = (0,0,0, 0,0,0)#R
    a_sup2 = [0, 0, 0, 0, 0, 0]  #R
    a_sup_2 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
    CP_old = [mm.v3(0., 0., 0.)]

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

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

    d_th_IK = ype.makeNestedList(DOFs)
    d_th_IK_L = ype.makeNestedList(DOFs)
    d_th_IK_R = ype.makeNestedList(DOFs)
    dd_th_IK = ype.makeNestedList(DOFs)
    dd_th_IK_flat = ype.makeFlatList(totalDOF)
    d_th_IK_flat = ype.makeFlatList(totalDOF)
    ddth_c_flat = ype.makeFlatList(totalDOF)

    # viewer
    rd_footCenter = [None]
    rd_footCenter_ref = [None]
    rd_footCenterL = [None]
    rd_footCenterR = [None]
    rd_CM_plane = [None]
    rd_CM_plane_ref = [None]
    rd_CM_ref = [None]
    rd_CM = [None]
    rd_CM_vec = [None]
    rd_CM_ref_vec = [None]
    rd_CP = [None]
    rd_CP_des = [None]
    rd_dL_des_plane = [None]
    rd_dH_des = [None]
    rd_grf_des = [None]
    rd_footCenter_des = [None]
    rd_exf_des = [None]
    rd_root_des = [None]
    rd_soft_const_vec = [None]

    rd_root = [None]

    rd_footL_vec = [None]
    rd_footR_vec = [None]

    rd_CMP = [None]

    rd_DesPosL = [None]
    rd_DesPosR = [None]

    rd_DesForePosL = [None]
    rd_DesForePosR = [None]
    rd_DesRearPosL = [None]
    rd_DesRearPosR = [None]

    rd_contactForces = [None] * 1000
    rd_contactPositions = [None] * 1000

    rootPos = [None]
    selectedBodyId = [selectedBody]
    extraForce = [None]
    applyedExtraForce = [None]
    applyedExtraForce[0] = [0, 0, 0]

    normalVector = [[0, 2, 0]]

    viewer = ysv.SimpleViewer()
    #    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_FILL))
    viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
    viewer.doc.addRenderer('rd_footCenter_des',
                           yr.PointsRenderer(rd_footCenter_des, (150, 0, 150)))
    #viewer.doc.addRenderer('rd_footCenterL', yr.PointsRenderer(rd_footCenterL))
    #viewer.doc.addRenderer('rd_footCenterR', yr.PointsRenderer(rd_footCenterR))
    #viewer.doc.addRenderer('rd_CM_plane', yr.PointsRenderer(rd_CM_plane, (255,255,0)))
    viewer.doc.addRenderer('rd_CM',
                           yr.PointsRenderer(rd_CM_plane, (255, 255, 0)))
    viewer.doc.addRenderer('rd_CP_des',
                           yr.PointsRenderer(rd_CP_des, (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, (0, 255, 255),
                                        .001))

    viewer.doc.addRenderer(
        'rd_exf_des',
        yr.ForcesRenderer(rd_exf_des, rd_root_des, (0, 255, 0), .009, 0.05))

    viewer.doc.addRenderer('rd_CMP', yr.PointsRenderer(rd_CMP, (0, 0, 255)))

    viewer.doc.addRenderer('rd_DesPosL',
                           yr.PointsRenderer(rd_DesPosL, (0, 0, 255)))
    viewer.doc.addRenderer('rd_DesPosR',
                           yr.PointsRenderer(rd_DesPosR, (0, 100, 255)))

    viewer.doc.addRenderer('rd_DesForePosL',
                           yr.PointsRenderer(rd_DesForePosL, (150, 0, 200)))
    viewer.doc.addRenderer('rd_DesForePosR',
                           yr.PointsRenderer(rd_DesForePosR, (150, 0, 250)))
    viewer.doc.addRenderer('rd_DesRearPosL',
                           yr.PointsRenderer(rd_DesRearPosL, (0, 150, 200)))
    viewer.doc.addRenderer('rd_DesRearPosR',
                           yr.PointsRenderer(rd_DesRearPosR, (0, 150, 250)))

    viewer.doc.addRenderer(
        'softConstraint',
        yr.VectorsRenderer(rd_soft_const_vec, rd_CMP, (150, 100, 100), 3))

    viewer.doc.addRenderer(
        'rd_footLVec',
        yr.VectorsRenderer(rd_footL_vec, rd_footCenterL, (255, 0, 0), 3))
    viewer.doc.addRenderer(
        'rd_footRVec',
        yr.VectorsRenderer(rd_footR_vec, rd_footCenterL, (255, 255, 0), 3))

    #viewer.doc.addRenderer('rd_footCenter_ref', yr.PointsRenderer(rd_footCenter_ref))
    viewer.doc.addRenderer('rd_CM_plane_ref',
                           yr.PointsRenderer(rd_CM_plane_ref, (255, 255, 0)))

    viewer.doc.addRenderer(
        'rd_refNormalVec',
        yr.VectorsRenderer(normalVector, rd_footCenter_ref, (255, 0, 0), 3))
    viewer.doc.addRenderer(
        'rd_refCMVec',
        yr.VectorsRenderer(rd_CM_ref_vec, rd_footCenter_ref, (255, 0, 255), 3))

    viewer.doc.addRenderer(
        'rd_curNormalVec',
        yr.VectorsRenderer(normalVector, rd_footCenter, (255, 0, 0), 3))
    viewer.doc.addRenderer(
        'rd_CMVec',
        yr.VectorsRenderer(rd_CM_vec, rd_footCenter, (255, 0, 255), 3))

    viewer.doc.addRenderer(
        'rd_contactForces',
        yr.ForcesRenderer(rd_contactForces, rd_contactPositions, (0, 255, 0),
                          .009, 0.009))
    stage = STATIC_BALANCING

    contactRendererName = []

    for i in range(motion[0].skeleton.getJointNum()):
        print(i, motion[0].skeleton.getJointName(i))

    def simulateCallback(frame):
        global g_initFlag
        global forceShowFrame
        global forceApplyFrame
        global JsysPre
        global JsupPreL
        global JsupPreR
        global JsupPre
        global softConstPoint
        global stage
        global contactRendererName

        motionModel.update(motion[frame])

        Kt, Kk, Kl, Kh, Ksc, Bt, Bl, Bh, Bsc = viewer.GetParam()

        Dt = 2 * (Kt**.5)
        Dk = 2 * (Kk**.5)
        Dl = 2 * (Kl**.5)
        Dh = 2 * (Kh**.5)
        Dsc = 2 * (Ksc**.5)

        if Bsc == 0.0:
            viewer.doc.showRenderer('softConstraint', False)
            viewer.motionViewWnd.update(1, viewer.doc)
        else:
            viewer.doc.showRenderer('softConstraint', True)
            renderer1 = viewer.doc.getRenderer('softConstraint')
            renderer1.rc.setLineWidth(0.1 + Bsc * 3)
            viewer.motionViewWnd.update(1, viewer.doc)

        # tracking
        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)
        ddth_c = controlModel.getDOFAccelerations()

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

        ype.flatten(ddth_c, ddth_c_flat)

        # jacobian
        refFootL = motionModel.getBodyPositionGlobal(supL)
        refFootR = motionModel.getBodyPositionGlobal(supR)

        positionFootL = [None] * footPartNum
        positionFootR = [None] * footPartNum
        for i in range(footPartNum):
            positionFootL[i] = controlModel.getBodyPositionGlobal(
                indexFootL[i])
            positionFootR[i] = controlModel.getBodyPositionGlobal(
                indexFootR[i])

        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.

        linkPositions_ref = motionModel.getBodyPositionsGlobal()
        CM_ref = yrp.getCM(linkPositions_ref, linkMasses, totalMass)
        CM_plane_ref = copy.copy(CM_ref)
        CM_plane_ref[1] = 0.

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

        yjc.computeJacobian2(Jsys, DOFs, jointPositions, jointAxeses,
                             linkPositions, allLinkJointMasks)
        yjc.computeJacobianDerivative2(dJsys, DOFs, jointPositions,
                                       jointAxeses, linkAngVelocities,
                                       linkPositions, allLinkJointMasks)

        yjc.computeJacobian2(jFootL[0], DOFs, jointPositions, jointAxeses,
                             [positionFootL[0]], jointMasksFootL[0])
        yjc.computeJacobianDerivative2(dJFootL[0], DOFs, jointPositions,
                                       jointAxeses, linkAngVelocities,
                                       [positionFootL[0]], jointMasksFootL[0],
                                       False)

        yjc.computeJacobian2(jFootR[0], DOFs, jointPositions, jointAxeses,
                             [positionFootR[0]], jointMasksFootR[0])
        yjc.computeJacobianDerivative2(dJFootR[0], DOFs, jointPositions,
                                       jointAxeses, linkAngVelocities,
                                       [positionFootR[0]], jointMasksFootR[0],
                                       False)

        yjc.computeAngJacobian2(jAngFootL[0], DOFs, jointPositions,
                                jointAxeses, [positionFootL[0]],
                                jointMasksFootL[0])
        yjc.computeAngJacobianDerivative2(dJAngFootL[0], DOFs, jointPositions,
                                          jointAxeses, linkAngVelocities,
                                          [positionFootL[0]],
                                          jointMasksFootL[0], False)

        yjc.computeAngJacobian2(jAngFootR[0], DOFs, jointPositions,
                                jointAxeses, [positionFootR[0]],
                                jointMasksFootR[0])
        yjc.computeAngJacobianDerivative2(dJAngFootR[0], DOFs, jointPositions,
                                          jointAxeses, linkAngVelocities,
                                          [positionFootR[0]],
                                          jointMasksFootR[0], False)

        bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(
            bodyIDsToCheck, mus, Ks, Ds)
        CP = yrp.getCP(contactPositions, contactForces)

        for i in range(len(bodyIDsToCheck)):
            controlModel.SetBodyColor(bodyIDsToCheck[i], 0, 0, 0)

        ##########################################

        for i in range(len(rd_contactPositions)):
            rd_contactPositions[i] = [0, 0, 0]
            rd_contactForces[i] = [0, 0, 0]

        for i in range(len(contactPositions)):
            rd_contactPositions[i] = np.copy(contactPositions[i])
            rd_contactForces[i] = np.copy(contactForces[i])
        '''
        if len(contactPositions) > 0:
            rd_contactPositions = np.copy(contactPositions)
            rd_contactForces = np.copy(contactForces)
            print("rd_contactPositions", rd_contactPositions)
            print("contactPositions", contactPositions)
        '''
        '''
        for i in range(len(contactRendererName)):
                viewer.doc.removeRenderer(contactRendererName[i])
                
        del contactRendererName[:]

        for i in range(len(contactPositions)):
            contactRendererName.append(str(i))
            #viewer.doc.addRenderer(str(i), yr.PointsRenderer([contactPositions[i]], (0,255,0)))
            viewer.doc.addRenderer(str(i), yr.ForcesRenderer([contactForces[i]], [contactPositions[i]], (0,255,0), .009, 0.009))


        viewer.motionViewWnd.update(1, viewer.doc)
        '''
        ##########################################

        contactFlagFootL = [0] * footPartNum
        contactFlagFootR = [0] * footPartNum

        partialDOFIndex = [22, 22]
        for i in range(len(bodyIDs)):
            controlModel.SetBodyColor(bodyIDs[i], 255, 105, 105)
            index = controlModel.id2index(bodyIDs[i])
            for j in range(len(indexFootL)):
                if index == indexFootL[j]:
                    contactFlagFootL[j] = 1
                    if j != 0:
                        yjc.computePartialJacobian2(jFootL[j], DOFs,
                                                    jointPositions,
                                                    jointAxeses,
                                                    [positionFootL[j]],
                                                    jointMasksFootL[j],
                                                    partialDOFIndex)
                        yjc.computePartialJacobianDerivative2(
                            dJFootL[j], DOFs, jointPositions, jointAxeses,
                            linkAngVelocities, [positionFootL[j]],
                            jointMasksFootL[j], False, partialDOFIndex)
                    break
            for j in range(len(indexFootR)):
                if index == indexFootR[j]:
                    contactFlagFootR[j] = 1
                    if j != 0:
                        yjc.computePartialJacobian2(jFootR[j], DOFs,
                                                    jointPositions,
                                                    jointAxeses,
                                                    [positionFootR[j]],
                                                    jointMasksFootR[j],
                                                    partialDOFIndex)
                        yjc.computePartialJacobianDerivative2(
                            dJFootR[j], DOFs, jointPositions, jointAxeses,
                            linkAngVelocities, [positionFootR[j]],
                            jointMasksFootR[j], False, partialDOFIndex)
                    break

        for j in range(len(indexFootL)):
            yjc.computeAngJacobian2(jAngFootL[j], DOFs, jointPositions,
                                    jointAxeses, [positionFootL[j]],
                                    jointMasksFootL[j])
            yjc.computeAngJacobianDerivative2(dJAngFootL[j], DOFs,
                                              jointPositions, jointAxeses,
                                              linkAngVelocities,
                                              [positionFootL[j]],
                                              jointMasksFootL[j], False)
            yjc.computeAngJacobian2(jAngFootR[j], DOFs, jointPositions,
                                    jointAxeses, [positionFootR[j]],
                                    jointMasksFootR[j])
            yjc.computeAngJacobianDerivative2(dJAngFootR[j], DOFs,
                                              jointPositions, jointAxeses,
                                              linkAngVelocities,
                                              [positionFootR[j]],
                                              jointMasksFootR[j], False)
        '''
        if footPartNum == 1:
             footCenterL = controlModel.getBodyPositionGlobal(supL)
             footCenterR = controlModel.getBodyPositionGlobal(supR)             
        else:
            if ((contactFlagFootL[3] == 1 or contactFlagFootL[4] == 1) and contactFlagFootL[0] == 0) or ((contactFlagFootR[3] == 1 or contactFlagFootR[4] == 1) and contactFlagFootR[0] == 0):
                r = 0.8
                footCenterL = (controlModel.getBodyPositionGlobal(supL)*r + controlModel.getBodyPositionGlobal(indexFootL[1])*(1.0-r))
                footCenterR = (controlModel.getBodyPositionGlobal(supR)*r + controlModel.getBodyPositionGlobal(indexFootR[1])*(1.0-r))
                #footCenterL = controlModel.getBodyPositionGlobal(indexFootL[1]) 
                #footCenterR = controlModel.getBodyPositionGlobal(indexFootR[1])                 
            else :
                #footCenterL = (controlModel.getBodyPositionGlobal(supL) + controlModel.getBodyPositionGlobal(indexFootL[1]))/2.0
                #footCenterR = (controlModel.getBodyPositionGlobal(supR) + controlModel.getBodyPositionGlobal(indexFootR[1]))/2.0
                #footCenterL = controlModel.getBodyPositionGlobal(indexFootL[1])                    
                #footCenterR = controlModel.getBodyPositionGlobal(indexFootR[1])
                r = 0.8
                footCenterL = (controlModel.getBodyPositionGlobal(indexFootL[1])*r + controlModel.getBodyPositionGlobal(indexFootL[3])*(1.0-r))
                footCenterR = (controlModel.getBodyPositionGlobal(indexFootR[1])*r + controlModel.getBodyPositionGlobal(indexFootR[3])*(1.0-r))
        '''
        '''
        if stage == POWERFUL_BALANCING:
            footCenterL = controlModel.getBodyPositionGlobal(indexFootL[1])        
            footCenterR = controlModel.getBodyPositionGlobal(indexFootR[1])
        else:
            footCenterL = (controlModel.getBodyPositionGlobal(indexFootL[1]) + controlModel.getBodyPositionGlobal(indexFootL[3]) )/2.0       
            footCenterR = (controlModel.getBodyPositionGlobal(indexFootR[1]) + controlModel.getBodyPositionGlobal(indexFootR[3]))/2.0
        '''
        '''
        p1 = controlModel.getBodyPositionGlobal(indexFootL[0])
        p2 = controlModel.getBodyPositionGlobal(indexFootR[0])
        p3 = controlModel.getBodyPositionGlobal(indexFootL[4])
        p4 = controlModel.getBodyPositionGlobal(indexFootR[4])
        print(frame, "supL", p1[1])
        print(frame, "supR", p2[1])
        print(frame, "calcL", p3[1])
        print(frame, "calcR", p4[1])
        '''

        #footCenter = footCenterL + (footCenterR - footCenterL)/2.0
        #footCenter[1] = 0.

        #
        '''
        if checkAll(contactFlagFootL, 0) == 1 and checkAll(contactFlagFootR, 0) == 1:
            footCenter = footCenter
        elif checkAll(contactFlagFootL, 0) == 1 :
            footCenter = footCenterR
        elif checkAll(contactFlagFootR, 0) == 1 :
            footCenter = footCenterL
        '''

        if footPartNum == 1:
            desFCL = (controlModel.getBodyPositionGlobal(supL))
            desFCR = (controlModel.getBodyPositionGlobal(supR))
        else:
            r = .5
            desFCL = (controlModel.getBodyPositionGlobal(supL) * r +
                      controlModel.getBodyPositionGlobal(indexFootL[4]) *
                      (1.0 - r)
                      )  #controlModel.getBodyPositionGlobal(indexFootL[1])
            desFCR = (controlModel.getBodyPositionGlobal(supR) * r +
                      controlModel.getBodyPositionGlobal(indexFootR[4]) *
                      (1.0 - r)
                      )  #controlModel.getBodyPositionGlobal(indexFootR[1])
        desFC = desFCL + (desFCR - desFCL) / 2.0

        if checkAll(contactFlagFootL, 0) == 1 and checkAll(
                contactFlagFootR, 0) == 1:
            desFC = desFC
        elif checkAll(contactFlagFootL, 0) == 1:
            desFC = desFCR
        elif checkAll(contactFlagFootR, 0) == 1:
            desFC = desFCL

        #if stage == MOTION_TRACKING:
        #    desFC = desFCL

        desFC[1] = 0
        rd_footCenter_des[0] = desFC.copy()
        curRelCMVec = CM_plane - desFC
        vecRatio = mm.length(curRelCMVec) * 0.
        #print(frame, vecRatio)
        footCenter = desFC - curRelCMVec * (vecRatio)  #/10.0

        footCenter_ref = refFootL + (refFootR - refFootL) / 2.0
        #footCenter_ref[1] = 0.
        footCenter[1] = 0.

        vecRatio = mm.length(curRelCMVec) * 0.
        softConstPointOffset = -curRelCMVec * (vecRatio)  #/10.0
        #print(frame, vecRatio, softConstPointOffset)

        desForeSupLAcc = [0, 0, 0]
        desForeSupRAcc = [0, 0, 0]

        totalNormalForce = [0, 0, 0]

        for i in range(len(contactForces)):
            totalNormalForce[0] += contactForces[i][0]
            totalNormalForce[1] += contactForces[i][1]
            totalNormalForce[2] += contactForces[i][2]

        # linear momentum
        CM_ref_plane = footCenter
        dL_des_plane = Kl * totalMass * (CM_ref_plane -
                                         CM_plane) - Dl * totalMass * dCM_plane

        # angular momentum
        CP_ref = footCenter

        timeStep = 30.
        if CP_old[0] == None or CP == None:
            dCP = None
        else:
            dCP = (CP - CP_old[0]) / (1 / timeStep)
        CP_old[0] = CP

        if CP != None and dCP != None:
            ddCP_des = Kh * (CP_ref - CP) - Dh * (dCP)
            CP_des = CP + dCP * (1 / timeStep) + .5 * ddCP_des * (
                (1 / timeStep)**2)
            dH_des = np.cross(
                (CP_des - CM),
                (dL_des_plane + totalMass * mm.s2v(wcfg.gravity)))
            #dH_des = np.cross((CP_des - CM_plane), (dL_des_plane + totalMass*mm.s2v(wcfg.gravity)))
        else:
            dH_des = None

        # 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)

        ##############################
        # soft point constraint

        #####################################################
        P_cur = controlModel.getBodyPositionGlobal(constBody)
        constBodyVec = P_cur - footCenter
        softConstPoint = [
            footCenter[0] + softConstPointOffset[0],
            mm.length(constBodyVec), footCenter[2] + softConstPointOffset[2]
        ]
        #####################################################

        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_cur - dP_des))

        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,
                             [P_cur], constJointMasks)
        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))

        yjc.computeJacobianDerivative2(dJconst, DOFs, jointPositions,
                                       jointAxeses, linkAngVelocities, [P_cur],
                                       constJointMasks, False)
        q_bias1 = np.dot(np.dot(Z, dJconst), dth_flat) + q2

        ##############################

        flagContact = True
        if dH_des == None or np.any(np.isnan(dH_des)) == True:
            flagContact = False
            viewer.doc.showRenderer('rd_grf_des', False)
            viewer.motionViewWnd.update(1, viewer.doc)
        else:
            viewer.doc.showRenderer('rd_grf_des', True)
            viewer.motionViewWnd.update(1, viewer.doc)
        '''
        0 : initial
        1 : contact
        2 : fly
        3 : landing
        '''

        #MOTION = FORWARD_JUMP
        if mit.MOTION == mit.FORWARD_JUMP:
            frame_index = [136, 100]
            #frame_index = [100000, 100000]
        elif mit.MOTION == mit.TAEKWONDO:
            frame_index = [130, 100]
            #frame_index = [100000, 100000]
        elif mit.MOTION == mit.TAEKWONDO2:
            frame_index = [130 + 40, 100]
        elif mit.MOTION == mit.WALK:
            frame_index = [10000, 60]
        else:
            frame_index = [1000000, 1000000]

        #MOTION = TAEKWONDO
        #frame_index = [135, 100]
        '''
        if frame > 300 :
            if stage != DYNAMIC_BALANCING:
                print("#", frame,"-DYNAMIC_BALANCING")
            stage = DYNAMIC_BALANCING
            Kk = Kk*1
            Dk = 2*(Kk**.5)        
        '''
        if frame > frame_index[0]:
            if stage != POWERFUL_BALANCING:
                print("#", frame, "-POWERFUL_BALANCING")
            stage = POWERFUL_BALANCING
            Kk = Kk * 2
            Dk = 2 * (Kk**.5)
        elif frame > frame_index[1]:
            if stage != MOTION_TRACKING:
                print("#", frame, "-MOTION_TRACKING")
            stage = MOTION_TRACKING

        trackingW = w

        #if checkAll(contactFlagFootR, 0) != 1 :
        if stage == MOTION_TRACKING:
            trackingW = w2
            #stage = POWERFUL_BALANCING
            Bt = Bt * 2

        # optimization

        mot.addTrackingTerms(problem, totalDOF, Bt, trackingW, ddth_des_flat)

        mot.addSoftPointConstraintTerms(problem, totalDOF, Bsc, ddP_des1, Q1,
                                        q_bias1)

        if flagContact == True:
            if stage != MOTION_TRACKING + 10:
                mot.addLinearTerms(problem, totalDOF, Bl, dL_des_plane, R,
                                   r_bias)
                mot.addAngularTerms(problem, totalDOF, Bh, dH_des, S, s_bias)

        a_sup_2 = [None]
        Jsup_2 = [None]
        dJsup_2 = [None]

        ##############################
        # Hard constraint
        if stage != MOTION_TRACKING:
            Kk2 = Kk * 2.0
        else:
            Kk2 = Kk * 1.5

        Dk2 = 2 * (Kk2**.5)
        '''
        desLinearAccL, desPosL = getDesFootLinearAcc(motionModel, controlModel, supL, ModelOffset, CM_ref, CM, Kk2, Dk2) 
        desLinearAccR, desPosR = getDesFootLinearAcc(motionModel, controlModel, supR, ModelOffset, CM_ref, CM, Kk2, Dk2) 

        desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, supL, Kk2, Dk2)
        desAngularAccR = getDesFootAngularAcc(motionModel, controlModel, supR, Kk2, Dk2)
        '''

        if stage != MOTION_TRACKING:
            idx = 0  #LEFT/RIGHT_TOES

            if stage != MOTION_TRACKING:
                desLinearAccL, desPosL = getDesFootLinearAcc(
                    motionModel, controlModel, indexFootL[idx], ModelOffset,
                    CM_ref, CM, Kk2, Dk2, 0.040)
                desLinearAccR, desPosR = getDesFootLinearAcc(
                    motionModel, controlModel, indexFootR[idx], ModelOffset,
                    CM_ref, CM, Kk2, Dk2, 0.040)

                desAngularAccL = getDesFootAngularAcc(motionModel,
                                                      controlModel,
                                                      indexFootL[idx], Kk2,
                                                      Dk2)
                desAngularAccR = getDesFootAngularAcc(motionModel,
                                                      controlModel,
                                                      indexFootR[idx], Kk2,
                                                      Dk2)

                a_sup_2 = np.hstack(
                    (np.hstack((desLinearAccL, desAngularAccL)),
                     np.hstack((desLinearAccR, desAngularAccR))))

                Jsup_2 = np.vstack((jFootL[idx], jFootR[idx]))
                dJsup_2 = np.vstack((dJFootL[idx], dJFootR[idx]))
            else:
                desLinearAccL, desPosL = getDesFootLinearAcc(
                    motionModel, controlModel, indexFootL[idx], ModelOffset,
                    CM_ref, CM, Kk2, Dk2, 0.040)
                desLinearAccR, desPosR = getDesFootLinearAcc(
                    motionModel, controlModel, indexFootR[idx], ModelOffset,
                    CM_ref, CM, Kk2, Dk2, 0.040)

                desAngularAccL = getDesFootAngularAcc(motionModel,
                                                      controlModel,
                                                      indexFootL[idx], Kk2,
                                                      Dk2)

                a_sup_2 = np.hstack((desLinearAccL, desAngularAccL))

                Jsup_2 = jFootL[idx]
                dJsup_2 = dJFootL[idx]

            rd_DesPosL[0] = desPosL.copy()
            rd_DesPosR[0] = desPosR.copy()
        else:
            if footPartNum != 5:
                idx = 0
                desLinearAccL, desPosL = getDesFootLinearAcc(
                    motionModel, controlModel, indexFootL[idx], ModelOffset,
                    CM_ref, CM, Kk2, Dk2, 0.040)
                desAngularAccL = getDesFootAngularAcc(motionModel,
                                                      controlModel,
                                                      indexFootL[idx], Kk2,
                                                      Dk2)

                a_sup_2 = np.hstack((desLinearAccL, desAngularAccL))

                Jsup_2 = (jFootL[idx])
                dJsup_2 = (dJFootL[idx])
                '''
                idx = 4
                desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, indexFootL[idx], Kk2, Dk2)
        
                a_sup_2 = np.hstack(( a_sup_2, desAngularAccL))
 
                Jsup_2 = np.vstack(( Jsup_2, jAngFootL[idx]))
                dJsup_2 = np.vstack(( dJsup_2, dJAngFootL[idx]))
                '''
                '''                
                idx = 1
                desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, indexFootL[idx], Kk2, Dk2)        
                a_sup_2 = np.hstack(( a_sup_2, desAngularAccL))
 
                Jsup_2 = np.vstack(( Jsup_2, jAngFootL[idx]))
                dJsup_2 = np.vstack(( dJsup_2, dJAngFootL[idx]))
                '''
            else:
                idx = 2
                desAngularAccL = getDesFootAngularAcc(motionModel,
                                                      controlModel,
                                                      indexFootL[idx], Kk2,
                                                      Dk2)
                desAngularAccR = getDesFootAngularAcc(motionModel,
                                                      controlModel,
                                                      indexFootR[idx], Kk2,
                                                      Dk2)

                a_sup_2 = np.hstack((desAngularAccL, desAngularAccR))

                Jsup_2 = np.vstack((jAngFootL[idx], jAngFootR[idx]))
                dJsup_2 = np.vstack((dJAngFootL[idx], dJAngFootR[idx]))

        ##############################

        ##############################
        # Additional constraint

        if stage != MOTION_TRACKING + 10:
            #Kk2 = Kk * 2.5
            Kk2 = Kk * 2.5
            Dk2 = 2 * (Kk2**.5)
            desForePosL = [0, 0, 0]
            desForePosR = [0, 0, 0]
            desRearPosL = [0, 0, 0]
            desRearPosR = [0, 0, 0]

            for i in range(1, footPartNum):
                if stage != MOTION_TRACKING:
                    if contactFlagFootL[i] == 1:
                        desLinearAccL, desForePosL = getDesFootLinearAcc(
                            motionModel, controlModel, indexFootL[i],
                            ModelOffset, CM_ref, CM, Kk2, Dk2, 0.04)
                        desAngularAccL = getDesFootAngularAcc(
                            motionModel, controlModel, indexFootL[i], Kk2, Dk2)
                        a_sup_2 = np.hstack(
                            (a_sup_2, np.hstack(
                                (desLinearAccL, desAngularAccL))))
                        Jsup_2 = np.vstack((Jsup_2, jFootL[i]))
                        dJsup_2 = np.vstack((dJsup_2, dJFootL[i]))
                    if contactFlagFootR[i] == 1:
                        desLinearAccR, desForePosR = getDesFootLinearAcc(
                            motionModel, controlModel, indexFootR[i],
                            ModelOffset, CM_ref, CM, Kk2, Dk2, 0.04)
                        desAngularAccR = getDesFootAngularAcc(
                            motionModel, controlModel, indexFootR[i], Kk2, Dk2)
                        a_sup_2 = np.hstack(
                            (a_sup_2, np.hstack(
                                (desLinearAccR, desAngularAccR))))
                        Jsup_2 = np.vstack((Jsup_2, jFootR[i]))
                        dJsup_2 = np.vstack((dJsup_2, dJFootR[i]))
                else:
                    if contactFlagFootL[i] == 1:
                        desAngularAccL = getDesFootAngularAcc(
                            motionModel, controlModel, indexFootL[i], Kk2, Dk2)
                        a_sup_2 = np.hstack((a_sup_2, desAngularAccL))
                        Jsup_2 = np.vstack((Jsup_2, jAngFootL[i]))
                        dJsup_2 = np.vstack((dJsup_2, dJAngFootL[i]))
                    if contactFlagFootR[i] == 1:
                        desAngularAccR = getDesFootAngularAcc(
                            motionModel, controlModel, indexFootR[i], Kk2, Dk2)
                        a_sup_2 = np.hstack((a_sup_2, desAngularAccR))
                        Jsup_2 = np.vstack((Jsup_2, jAngFootR[i]))
                        dJsup_2 = np.vstack((dJsup_2, dJAngFootR[i]))
            '''
            for i in range(1, footPartNum) :
                if contactFlagFootL[i] == 1:
                    desLinearAccL, desForePosL = getDesFootLinearAcc(motionModel, controlModel, indexFootL[i], ModelOffset, CM_ref, CM, Kk2, Dk2, 0.034) 
                    desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, indexFootL[i], Kk2, Dk2)
                    a_sup_2 = np.hstack(( a_sup_2, np.hstack((desLinearAccL, desAngularAccL)) ))
                    Jsup_2 = np.vstack(( Jsup_2, jFootL[i] ))
                    dJsup_2 = np.vstack(( dJsup_2, dJFootL[i] ))                
                if contactFlagFootR[i] == 1:
                    desLinearAccR, desForePosR = getDesFootLinearAcc(motionModel, controlModel, indexFootR[i], ModelOffset, CM_ref, CM, Kk2, Dk2, 0.034) 
                    desAngularAccR = getDesFootAngularAcc(motionModel, controlModel, indexFootR[i], Kk2, Dk2)
                    a_sup_2 = np.hstack(( a_sup_2, np.hstack((desLinearAccR, desAngularAccR)) ))            
                    Jsup_2 = np.vstack(( Jsup_2, jFootR[i] ))
                    dJsup_2 = np.vstack(( dJsup_2, dJFootR[i] ))
            '''
            rd_DesForePosL[0] = desForePosL
            rd_DesForePosR[0] = desForePosR
            rd_DesRearPosL[0] = desRearPosL
            rd_DesRearPosR[0] = desRearPosR
        ##############################

        mot.setConstraint(problem, totalDOF, Jsup_2, dJsup_2, dth_flat,
                          a_sup_2)

        r = problem.solve()
        problem.clear()
        ype.nested(r['x'], 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)

            vpWorld.applyPenaltyForce(bodyIDs, contactPositionLocals,
                                      contactForces)

            extraForce[0] = viewer.GetForce()
            if (extraForce[0][0] != 0 or extraForce[0][1] != 0
                    or extraForce[0][2] != 0):
                forceApplyFrame += 1
                #vpWorld.applyPenaltyForce(selectedBodyId, localPos, extraForce)
                controlModel.applyBodyForceGlobal(selectedBody, extraForce[0])
                applyedExtraForce[0] = extraForce[0]

            if forceApplyFrame * wcfg.timeStep > 0.1:
                viewer.ResetForce()
                forceApplyFrame = 0

            controlModel.setDOFAccelerations(ddth_sol)

            controlModel.solveHybridDynamics()
            '''
            extraForce[0] = viewer.GetForce()
            if (extraForce[0][0] != 0 or extraForce[0][1] != 0 or extraForce[0][2] != 0) :
                forceApplyFrame += 1
                vpWorld.applyPenaltyForce(selectedBodyId, localPos, extraForce)
                applyedExtraForce[0] = extraForce[0]
            
            if forceApplyFrame*wcfg.timeStep > 0.1:
                viewer.ResetForce()
                forceApplyFrame = 0            
            '''
            vpWorld.step()

        # rendering

        rd_footCenter[0] = footCenter

        rd_CM[0] = CM.copy()

        rd_CM_plane[0] = CM_plane.copy()

        rd_footCenter_ref[0] = footCenter_ref
        rd_CM_plane_ref[0] = CM_ref.copy()
        rd_CM_ref[0] = CM_ref.copy()
        rd_CM_ref_vec[0] = (CM_ref - footCenter_ref) * 3.
        rd_CM_vec[0] = (CM - footCenter) * 3

        #rd_CM_plane[0][1] = 0.

        if CP != None and dCP != None:
            rd_CP[0] = CP
            rd_CP_des[0] = CP_des

        rd_dL_des_plane[0] = dL_des_plane
        rd_dH_des[0] = dH_des

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

        rd_exf_des[0] = applyedExtraForce[0]
        rd_root_des[0] = rootPos[0]

        rd_CMP[0] = softConstPoint

        rd_soft_const_vec[0] = controlModel.getBodyPositionGlobal(
            constBody) - softConstPoint

        if (forceApplyFrame == 0):
            applyedExtraForce[0] = [0, 0, 0]

    viewer.setSimulateCallback(simulateCallback)

    viewer.startTimer(1 / 60.)
    viewer.show()

    Fl.run()
Example #8
0
def main():

    np.set_printoptions(precision=4, linewidth=200)

    #    motion, mcfg, wcfg, stepsPerFrame, config = mit.create_vchain_5()
    motion, mcfg, wcfg, stepsPerFrame, config = mit.create_biped()
    mcfg_motion = mit.normal_mcfg()

    vpWorld = cvw.VpWorld(wcfg)
    motionModel = cvm.VpMotionModel(vpWorld, motion[0], mcfg)
    motionModel.recordVelByFiniteDiff()
    IKModel = cvm.VpMotionModel(vpWorld, motion[0], mcfg)

    controlModel = cvm.VpControlModel(vpWorld, motion[0], mcfg)

    footPartNum = config['FootPartNum']

    if footPartNum > 1:
        elasticity = 2000
        damping = 2 * (elasticity**.5)

        springBody1 = 1
        springBody2 = 2
        springBody1Pos = motionModel.getBodyPositionGlobal(
            motion[0].skeleton.getJointIndex(config['FootLPart'][springBody1]))
        springBody2Pos = motionModel.getBodyPositionGlobal(
            motion[0].skeleton.getJointIndex(config['FootLPart'][springBody2]))

        initialDist = mm.length(springBody1Pos - springBody2Pos) * 1.
        node = mcfg.getNode(mit.LEFT_METATARSAL_1)
        initialDist -= node.width  #0.084
        v1 = (-node.width * 0.5, 0.0, node.length * 0.4)
        v2 = (node.width * 0.5, 0.0, node.length * 0.4)
        #controlModel.setSpring(motion[0].skeleton.getJointIndex(config['FootLPart'][springBody1]), motion[0].skeleton.getJointIndex(config['FootLPart'][springBody2]), elasticity, damping, v2, v1, initialDist)
        #controlModel.setSpring(motion[0].skeleton.getJointIndex(config['FootRPart'][springBody1]), motion[0].skeleton.getJointIndex(config['FootRPart'][springBody2]), elasticity, damping, v1, v2, initialDist)

        elasticity = 10
        damping = 2 * (elasticity**.5)
        springBody1 = 3
        springBody2 = 4
        node = mcfg.getNode(mit.LEFT_PHALANGE_1)
        springBody1Pos = motionModel.getBodyPositionGlobal(
            motion[0].skeleton.getJointIndex(config['FootLPart'][springBody1]))
        springBody2Pos = motionModel.getBodyPositionGlobal(
            motion[0].skeleton.getJointIndex(config['FootLPart'][springBody2]))
        initialDist = mm.length(springBody1Pos - springBody2Pos) * 1.
        initialDist -= node.width  #0.084
        v1 = (-node.width * 0.5, 0.0, -node.length * 0.4)
        v2 = (node.width * 0.5, 0.0, -node.length * 0.4)
        #controlModel.setSpring(motion[0].skeleton.getJointIndex(config['FootLPart'][springBody1]), motion[0].skeleton.getJointIndex(config['FootLPart'][springBody2]), elasticity, damping, v2, v1, initialDist)
        #controlModel.setSpring(motion[0].skeleton.getJointIndex(config['FootRPart'][springBody1]), motion[0].skeleton.getJointIndex(config['FootRPart'][springBody2]), elasticity, damping, v1, v2, initialDist)

    vpWorld.initialize()
    controlModel.initializeHybridDynamics()

    #ModelOffset = (1.5, -0.01, 0)
    ModelOffset = (1.5, 0.04, 0)
    controlModel.translateByOffset(ModelOffset)

    totalDOF = controlModel.getTotalDOF()
    DOFs = controlModel.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'])
    w2 = mot.getTrackingWeight(DOFs, motion[0].skeleton, config['weightMap2'])
    #w_IK = mot.getTrackingWeight(DOFs, motion[0].skeleton, config['IKweightMap'])
    supL = motion[0].skeleton.getJointIndex(config['supLink'])
    supR = motion[0].skeleton.getJointIndex(config['supLink2'])
    rootB = motion[0].skeleton.getJointIndex(config['root'])

    selectedBody = motion[0].skeleton.getJointIndex(config['end'])
    #constBody = motion[0].skeleton.getJointIndex('LeftForeArm')
    constBody = motion[0].skeleton.getJointIndex(config['const'])

    # jacobian
    Jsup = yjc.makeEmptyJacobian(DOFs, 1)
    dJsup = Jsup.copy()
    JsupPre = Jsup.copy()

    Jsys_IK = yjc.makeEmptyJacobian(DOFs, controlModel.getBodyNum())

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

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

    Jcom = yjc.makeEmptyJacobian(DOFs, 1, False)
    dJcom = Jcom.copy()

    JcomAng = yjc.makeEmptyJacobian(DOFs, 1, False)
    dJcomAng = JcomAng.copy()

    ###############

    jFootL_IK = [None] * footPartNum
    jFootR_IK = [None] * footPartNum

    indexFootL = [None] * footPartNum
    indexFootR = [None] * footPartNum
    jFootL = [None] * footPartNum
    dJFootL = [None] * footPartNum
    jFootR = [None] * footPartNum
    dJFootR = [None] * footPartNum
    jointMasksFootL = [None] * footPartNum
    jointMasksFootR = [None] * footPartNum

    jAngFootL = [None] * footPartNum
    dJAngFootL = [None] * footPartNum
    jAngFootR = [None] * footPartNum
    dJAngFootR = [None] * footPartNum

    for i in range(footPartNum):

        jFootL_IK[i] = yjc.makeEmptyJacobian(DOFs, 1)
        jFootR_IK[i] = yjc.makeEmptyJacobian(DOFs, 1)

        jFootL[i] = yjc.makeEmptyJacobian(DOFs, 1)
        dJFootL[i] = jFootL[i].copy()
        jFootR[i] = yjc.makeEmptyJacobian(DOFs, 1)
        dJFootR[i] = jFootR[i].copy()

        jAngFootL[i] = yjc.makeEmptyJacobian(DOFs, 1, False)
        dJAngFootL[i] = jAngFootL[i].copy()
        jAngFootR[i] = yjc.makeEmptyJacobian(DOFs, 1, False)
        dJAngFootR[i] = jAngFootR[i].copy()

        indexFootL[i] = motion[0].skeleton.getJointIndex(
            config['FootLPart'][i])
        indexFootR[i] = motion[0].skeleton.getJointIndex(
            config['FootRPart'][i])

        jointMasksFootL[i] = [
            yjc.getLinkJointMask(motion[0].skeleton, indexFootL[i])
        ]
        jointMasksFootR[i] = [
            yjc.getLinkJointMask(motion[0].skeleton, indexFootR[i])
        ]

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

    #comLowerJointMasks = [yjc.getLinksJointMask(motion[0].skeleton, [motion[0].skeleton.getJointIndex('LeftLeg'), motion[0].skeleton.getJointIndex('RightLeg')])]
    comUpperJointMasks = [
        yjc.getLinkJointMask(motion[0].skeleton, selectedBody)
    ]
    #comLowerJointMasks = [yjc.getLinksJointMask(motion[0].skeleton, [motion[0].skeleton.getJointIndex('LeftLeg'), motion[0].skeleton.getJointIndex('RightLeg')])]
    comUpperJointMasks[0][0] = 0
    #comUpperJointMasks[0][1] = 1
    #comUpperJointMasks[0][10] = 1
    comUpperJointMasks[0][2] = 1
    comUpperJointMasks[0][11] = 1

    #print(comUpperJointMasks)

    comLowerJointMasks = [
        yjc.getLinksJointMask(motion[0].skeleton, [
            motion[0].skeleton.getJointIndex('LeftLeg'),
            motion[0].skeleton.getJointIndex('RightLeg')
        ])
    ]
    '''
    maskArray = [foreSupLJointMasks, foreSupRJointMasks, rearSupLJointMasks, rearSupRJointMasks]
    parentArray = [supL, supR, supL, supR]
    effectorArray = [foreSupL, foreSupR, rearSupL, rearSupR]
    for j in range(4) :
        for i in range(len(foreSupLJointMasks)) :
            if i == parentArray[j] or i == effectorArray[j] :
                maskArray[j][0][i] = 1
            else :
                maskArray[j][0][i] = 0
    '''
    # momentum matrix
    linkMasses = controlModel.getBodyMasses()
    totalMass = controlModel.getTotalMass()
    TO = ymt.make_TO(linkMasses)
    dTO = ymt.make_dTO(len(linkMasses))

    # optimization
    problem = yac.LSE(totalDOF, 6)
    a_sup = (0, 0, 0, 0, 0, 0)  #L
    #a_sup2 = (0,0,0, 0,0,0)#R
    a_sup2 = [0, 0, 0, 0, 0, 0]  #R
    a_sup_2 = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
    CP_old = [mm.v3(0., 0., 0.)]

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

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

    dth_IK = ype.makeNestedList(DOFs)

    d_th_IK = ype.makeNestedList(DOFs)
    d_th_IK_L = ype.makeNestedList(DOFs)
    d_th_IK_R = ype.makeNestedList(DOFs)
    dd_th_IK = ype.makeNestedList(DOFs)
    dd_th_IK_flat = ype.makeFlatList(totalDOF)
    d_th_IK_flat = ype.makeFlatList(totalDOF)
    ddth_c_flat = ype.makeFlatList(totalDOF)

    # viewer
    rd_footCenter = [None]
    rd_footCenter_ref = [None]
    rd_footCenterL = [None]
    rd_footCenterR = [None]
    rd_CM_plane = [None]
    rd_CM_plane_ref = [None]
    rd_CM_ref = [None]
    rd_CM_des = [None]
    rd_CM = [None]
    rd_CM_vec = [None]
    rd_CM_ref_vec = [None]
    rd_CP = [None]
    rd_CP_des = [None]
    rd_dL_des_plane = [None]
    rd_dH_des = [None]
    rd_grf_des = [None]
    rd_footCenter_des = [None]
    rd_exf_des = [None]
    rd_root_des = [None]
    rd_soft_const_vec = [None]

    rd_root = [None]

    rd_footL_vec = [None]
    rd_footR_vec = [None]

    rd_CMP = [None]

    rd_DesPosL = [None]
    rd_DesPosR = [None]

    rd_DesForePosL = [None]
    rd_DesForePosR = [None]
    rd_DesRearPosL = [None]
    rd_DesRearPosR = [None]

    rd_Joint = [None]
    rd_Joint2 = [None]
    rd_Joint3 = [None]
    rd_Joint4 = [None]

    #rd_contactForces = [None]*10000
    #rd_contactPositions = [None]*10000
    rd_virtualForce = [None]

    rootPos = [None]
    selectedBodyId = [selectedBody]
    extraForce = [None]
    applyedExtraForce = [None]
    applyedExtraForce[0] = [0, 0, 0]

    normalVector = [[0, 2, 0]]

    if MULTI_VIEWER:
        viewer = ymv.MultiViewer(800, 655)
        #viewer = ymv.MultiViewer(1600, 1255)
        viewer.setRenderers1([
            cvr.VpModelRenderer(motionModel, CHARACTER_COLOR, yr.POLYGON_FILL)
        ])
        viewer.setRenderers2([
            cvr.VpModelRenderer(controlModel, CHARACTER_COLOR, yr.POLYGON_FILL)
        ])

    else:
        viewer = ysv.SimpleViewer()
        #    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, (100, 100, 100),
                                yr.POLYGON_FILL))  #(150,150,255)
        viewer.doc.addRenderer(
            'IKModel',
            cvr.VpModelRenderer(IKModel, (180, 180, 180), yr.POLYGON_FILL))
        viewer.doc.addRenderer(
            'controlModel',
            cvr.VpModelRenderer(controlModel, CHARACTER_COLOR,
                                yr.POLYGON_FILL))
        #viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
        #viewer.doc.addRenderer('rd_footCenter_des', yr.PointsRenderer(rd_footCenter_des, (150,0,150))    )
        #viewer.doc.addRenderer('rd_footCenterL', yr.PointsRenderer(rd_footCenterL))
        #viewer.doc.addRenderer('rd_footCenterR', yr.PointsRenderer(rd_footCenterR))
        viewer.doc.addRenderer('rd_CM_plane',
                               yr.PointsRenderer(rd_CM_plane, (255, 255, 0)))
        viewer.doc.addRenderer('rd_CM',
                               yr.PointsRenderer(rd_CM, (255, 0, 255)))
        viewer.doc.addRenderer('rd_CM_des',
                               yr.PointsRenderer(rd_CM_des, (64, 64, 255)))
        viewer.doc.addRenderer(
            'rd_CM_vec',
            yr.VectorsRenderer(rd_CM_vec, rd_CM_plane, (255, 0, 0), 3))
        #viewer.doc.addRenderer('rd_CP_des', yr.PointsRenderer(rd_CP_des, (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, (0,255,255), .001))

        viewer.doc.addRenderer(
            'rd_exf_des',
            yr.ForcesRenderer(rd_exf_des, rd_root_des, (0, 255, 0), .009,
                              0.04))

        viewer.doc.addRenderer('rd_Joint',
                               yr.PointsRenderer(rd_Joint, (255, 0, 0)))
        viewer.doc.addRenderer('rd_Joint2',
                               yr.PointsRenderer(rd_Joint2, (0, 255, 0)))
        viewer.doc.addRenderer('rd_Joint3',
                               yr.PointsRenderer(rd_Joint3, (0, 0, 255)))
        viewer.doc.addRenderer('rd_Joint4',
                               yr.PointsRenderer(rd_Joint4, (255, 255, 0)))

    stage = STATIC_BALANCING

    contactRendererName = []

    for i in range(motion[0].skeleton.getJointNum()):
        print(i, motion[0].skeleton.getJointName(i))

    desCOMOffset = 0.0

    pt = [0.]

    timeReport = [0.] * 7

    viewer.objectInfoWnd.comOffsetY.value(-0.05)
    viewer.objectInfoWnd.comOffsetZ.value(0.00)

    viewer.objectInfoWnd.begin()
    viewer.objectInfoWnd.Bc = Fl_Value_Input(100, 450, 40, 10, 'Bc')
    viewer.objectInfoWnd.Bc.value(0.1)
    viewer.objectInfoWnd.end()
    viewer.objectInfoWnd.labelKt.value(50)
    viewer.objectInfoWnd.labelKk.value(17)


    config['Phalange'] = [  motion[0].skeleton.getJointIndex('LeftPhalange_1'),\
                            motion[0].skeleton.getJointIndex('LeftPhalange_2'),\
                            motion[0].skeleton.getJointIndex('LeftPhalange_3'),\
                            motion[0].skeleton.getJointIndex('RightPhalange_1'),\
                            motion[0].skeleton.getJointIndex('RightPhalange_2'),\
                            motion[0].skeleton.getJointIndex('RightPhalange_3')]
    config['Metatarsal'] = [motion[0].skeleton.getJointIndex('LeftMetatarsal_1'),\
                            motion[0].skeleton.getJointIndex('LeftMetatarsal_2'),\
                            motion[0].skeleton.getJointIndex('LeftMetatarsal_3'),\
                            motion[0].skeleton.getJointIndex('RightMetatarsal_1'),\
                            motion[0].skeleton.getJointIndex('RightMetatarsal_2'),\
                            motion[0].skeleton.getJointIndex('RightMetatarsal_3')]
    config['Talus'] = [ motion[0].skeleton.getJointIndex('LeftTalus_1'),\
                        motion[0].skeleton.getJointIndex('LeftTalus_2'),\
                        motion[0].skeleton.getJointIndex('LeftTalus_3'),\
                        motion[0].skeleton.getJointIndex('RightTalus_1'),\
                        motion[0].skeleton.getJointIndex('RightTalus_2'),\
                        motion[0].skeleton.getJointIndex('RightTalus_3')]
    config['Calcaneus'] = [ motion[0].skeleton.getJointIndex('LeftCalcaneus_1'),\
                            motion[0].skeleton.getJointIndex('LeftCalcaneus_2'),\
                            motion[0].skeleton.getJointIndex('LeftCalcaneus_3'),\
                            motion[0].skeleton.getJointIndex('RightCalcaneus_1'),\
                            motion[0].skeleton.getJointIndex('RightCalcaneus_2'),\
                            motion[0].skeleton.getJointIndex('RightCalcaneus_3')]

    def simulateCallback(frame):

        curTime = time.time()

        if frame % 30 == 1: pt[0] = time.time()

        global g_initFlag
        global forceShowFrame
        global forceApplyFrame
        global JsysPre
        global JsupPreL
        global JsupPreR
        global JsupPre
        global softConstPoint
        global stage
        global contactRendererName
        global desCOMOffset

        #motionModel.update(motion[0])

        Kt, Kk, Kl, Kh, Ksc, Bt, Bl, Bh, B_CM, B_CMSd, B_Toe = viewer.GetParam(
        )

        Dt = 2 * (Kt**.5)
        Dk = 2 * (Kk**.5)
        Dl = 2 * (Kl**.5)
        Dh = 2 * (Kh**.5)
        Dsc = 2 * (Ksc**.5)
        '''
        if Bsc == 0.0 :
            viewer.doc.showRenderer('softConstraint', False)
            viewer.motionViewWnd.update(1, viewer.doc)
        else:
            viewer.doc.showRenderer('softConstraint', True)
            renderer1 = viewer.doc.getRenderer('softConstraint')
            renderer1.rc.setLineWidth(0.1+Bsc*3)
            viewer.motionViewWnd.update(1, viewer.doc)
        '''
        pose = motion[0].copy()

        def solveIK(desComPos,
                    desIdxs,
                    desPos,
                    desOri,
                    cmW=10.,
                    posW=1.,
                    oriW=1.):
            numItr = 100
            dt = .5
            threshold = 0.1
            for i in range(0, numItr):
                jPart_IK = []
                print '----iter num', i
                IKModel.update(pose)

                th_r_IK = pose.getDOFPositions()
                jointPositions_IK = pose.getJointPositionsGlobal()
                jointAxeses_IK = pose.getDOFAxeses()
                linkPositions_IK = IKModel.getBodyPositionsGlobal()
                linkInertias_IK = IKModel.getBodyInertiasGlobal()

                CM_IK = yrp.getCM(linkPositions_IK, linkMasses, totalMass)
                print CM_IK
                P_IK = ymt.getPureInertiaMatrix(TO, linkMasses,
                                                linkPositions_IK, CM_IK,
                                                linkInertias_IK)

                yjc.computeJacobian2(Jsys_IK, DOFs, jointPositions_IK,
                                     jointAxeses_IK, linkPositions_IK,
                                     allLinkJointMasks)

                for j in range(0, len(desIdxs)):
                    jPart_IK.append(Jsys_IK[6 * desIdxs[j]:6 * desIdxs[j] + 6])

                J_IK, JAngCom_IK = np.vsplit(np.dot(P_IK, Jsys_IK), 2)
                dv_IK = cmW * (desComPos - CM_IK)

                for j in range(0, len(desIdxs)):
                    J_IK = np.vstack((J_IK, jPart_IK[j]))
                    pos_IK = IKModel.getBodyPositionGlobal(desIdxs[j])
                    dv_IK = np.append(dv_IK, posW * (desPos[j] - pos_IK))
                    ori_IK = IKModel.getBodyOrientationGlobal(desIdxs[j])
                    dv_IK = np.append(dv_IK,
                                      oriW * mm.logSO3(desOri[j] * ori_IK.T))
                #print dv_IK[0:3]
                dth_IK_solve = npl.lstsq(J_IK, dv_IK)
                dth_IK_x = dth_IK_solve[0][:totalDOF]
                ype.nested(dth_IK_x, dth_IK)
                #print dth_IK[0][0:3]
                th_IK = yct.getIntegralDOF(th_r_IK, dth_IK, dt)
                pose.setDOFPositions(th_IK)

                if np.dot(dv_IK, dv_IK) < threshold:
                    break

        linkPositions_ref = motionModel.getBodyPositionsGlobal()
        CM_ref = yrp.getCM(linkPositions_ref, linkMasses, totalMass)
        footCenterOffset = np.array([
            viewer.objectInfoWnd.comOffsetX.value(),
            viewer.objectInfoWnd.comOffsetY.value(),
            viewer.objectInfoWnd.comOffsetZ.value()
        ])
        #CM_IK_ref = footCenter + footCenterOffset
        CM_IK_ref = CM_ref + footCenterOffset
        #CM_IK_ref[1] = CM_ref[1] + footCenterOffset[1]

        motion[0].skeleton.getJointIndex(config['supLink'])

        #IKidxs = [indexFootL[0], indexFootR[0]]
        #IKdesPos = [motionModel.getBodyPositionGlobal(indexFootL[0]), motionModel.getBodyPositionGlobal(indexFootR[0])]
        #for i in range(0, 2):
        #    #IKdesPos[i] += ModelOffset
        #    IKdesPos[i][1] = 0.069
        #IKori = [motionModel.getBodyOrientationGlobal(indexFootL[0]), motionModel.getBodyOrientationGlobal(indexFootR[0])]
        #IKdesOri = [None]*2
        #for i in range(0, 2):
        #    IKdesOri[i] = mm.I_SO3()

        IKidxs = config['Phalange'][0:1] + config['Phalange'][3:4]
        print IKidxs
        IKdesPos = [None] * len(IKidxs)
        IKdesOri = [None] * len(IKidxs)
        for i in range(0, len(IKidxs)):
            #print i
            IKdesPos[i] = motionModel.getBodyPositionGlobal(IKidxs[i])
            IKdesPos[i][1] = 0.03
            IKdesOri[i] = mm.I_SO3()
        print IKdesPos

        solveIK(CM_IK_ref, IKidxs, IKdesPos, IKdesOri)

        # tracking
        th_r_ori = motion.getDOFPositions(frame)
        th_r = copy.copy(th_r_ori)

        global leftHipTimer
        if viewer.objectInfoWnd.onLeftHip:
            leftHipTimer = 60
            viewer.objectInfoWnd.onLeftHip = False
        if leftHipTimer > 0:
            viewer.objectInfoWnd.comOffsetX.value(
                0.14 * np.sin(2 * 3.14 * leftHipTimer / 60.))
            #viewer.objectInfoWnd.comOffsetZ.value(0.04*np.cos(2*3.14*leftHipTimer/90.))
            #B_Hipd = viewer.objectInfoWnd.labelLeftHip.value()
            #newR1 = mm.exp(mm.v3(0.0,1.0,0.0), 3.14*0.5*B_Hipd/100.)
            #idx = motion[0].skeleton.getJointIndex('LeftUpLeg')
            #th_r[idx] = np.dot(th_r[idx], newR1)
            #idx = motion[0].skeleton.getJointIndex('RightUpLeg')
            #th_r[idx] = np.dot(th_r[idx], newR1)
            leftHipTimer -= 1

        timeReport[0] += time.time() - curTime
        curTime = time.time()

        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)
        ddth_c = controlModel.getDOFAccelerations()

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

        ype.flatten(ddth_c, ddth_c_flat)

        # jacobian
        refFootL = motionModel.getBodyPositionGlobal(supL)
        refFootR = motionModel.getBodyPositionGlobal(supR)

        positionFootL = [None] * footPartNum
        positionFootR = [None] * footPartNum
        for i in range(footPartNum):
            positionFootL[i] = controlModel.getBodyPositionGlobal(
                indexFootL[i])
            positionFootR[i] = controlModel.getBodyPositionGlobal(
                indexFootR[i])

        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.

        linkPositions_ref = motionModel.getBodyPositionsGlobal()
        linkVelocities_ref = motionModel.getBodyVelocitiesGlobal()
        linkAngVelocities_ref = motionModel.getBodyAngVelocitiesGlobal()
        linkInertias_ref = motionModel.getBodyInertiasGlobal()

        CM_ref = yrp.getCM(linkPositions_ref, linkMasses, totalMass)
        CM_plane_ref = copy.copy(CM_ref)
        CM_plane_ref[1] = 0.

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

        timeReport[1] += time.time() - curTime
        curTime = time.time()

        yjc.computeJacobian2(Jsys, DOFs, jointPositions, jointAxeses,
                             linkPositions, allLinkJointMasks)
        timeReport[2] += time.time() - curTime
        curTime = time.time()

        # yjc.computeJacobianDerivative2(dJsys, DOFs, jointPositions, jointAxeses, linkAngVelocities, linkPositions, allLinkJointMasks)
        if frame > 0:
            dJsys = (Jsys - JsysPre) * 30.
        else:
            dJsys = (Jsys - Jsys)
        JsysPre = Jsys.copy()

        timeReport[3] += time.time() - curTime
        curTime = time.time()

        bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(
            bodyIDsToCheck, mus, Ks, Ds)
        CP = yrp.getCP(contactPositions, contactForces)

        for i in range(len(bodyIDsToCheck)):
            controlModel.SetBodyColor(bodyIDsToCheck[i], 0, 0, 0, 255)

        contactFlagFootL = [0] * footPartNum
        contactFlagFootR = [0] * footPartNum
        partialDOFIndex = [22, 22]

        for i in range(len(bodyIDs)):
            controlModel.SetBodyColor(bodyIDs[i], 255, 105, 105, 200)
            index = controlModel.id2index(bodyIDs[i])
            for j in range(len(indexFootL)):
                if index == indexFootL[j]:
                    contactFlagFootL[j] = 1
            for j in range(len(indexFootR)):
                if index == indexFootR[j]:
                    contactFlagFootR[j] = 1

        for j in range(0, footPartNum):
            jAngFootR[j] = Jsys[6 * indexFootR[j]:6 * indexFootR[j] +
                                6][3:]  #.copy()
            jAngFootL[j] = Jsys[6 * indexFootL[j]:6 * indexFootL[j] +
                                6][3:]  #.copy()
            dJAngFootR[j] = dJsys[6 * indexFootR[j]:6 * indexFootR[j] +
                                  6][3:]  #.copy()
            dJAngFootL[j] = dJsys[6 * indexFootL[j]:6 * indexFootL[j] +
                                  6][3:]  #.copy()
            jFootR[j] = Jsys[6 * indexFootR[j]:6 * indexFootR[j] + 6]  #.copy()
            jFootL[j] = Jsys[6 * indexFootL[j]:6 * indexFootL[j] + 6]  #.copy()
            dJFootR[j] = dJsys[6 * indexFootR[j]:6 * indexFootR[j] +
                               6]  #.copy()
            dJFootL[j] = dJsys[6 * indexFootL[j]:6 * indexFootL[j] +
                               6]  #.copy()
        if footPartNum == 1:
            desFCL = (controlModel.getBodyPositionGlobal(supL))
            desFCR = (controlModel.getBodyPositionGlobal(supR))
        else:
            r = .5 + desCOMOffset
            desFCL = (controlModel.getBodyPositionGlobal(indexFootL[0]) * r +
                      controlModel.getBodyPositionGlobal(indexFootL[1]) *
                      (1.0 - r)
                      )  #controlModel.getBodyPositionGlobal(indexFootL[1])
            desFCR = (controlModel.getBodyPositionGlobal(indexFootR[0]) * r +
                      controlModel.getBodyPositionGlobal(indexFootR[1]) *
                      (1.0 - r)
                      )  #controlModel.getBodyPositionGlobal(indexFootR[1])
        desFC = desFCL + (desFCR - desFCL) / 2.0
        desFC[1] = 0
        rd_footCenter_des[0] = desFC.copy()
        curRelCMVec = CM_plane - desFC
        vecRatio = mm.length(curRelCMVec) * 0.
        #print(frame, vecRatio)
        footCenter = desFC - curRelCMVec * (vecRatio)  #/10.0

        footCenter = (
            getBodyGlobalPos(controlModel, motion, 'LeftCalcaneus_1') +
            getBodyGlobalPos(controlModel, motion, 'LeftPhalange_1') +
            getBodyGlobalPos(controlModel, motion, 'RightCalcaneus_1') +
            getBodyGlobalPos(controlModel, motion, 'RightPhalange_1')) / 4.
        #footCenter = (getBodyGlobalPos(controlModel, motion, 'LeftCalcaneus_1') + getBodyGlobalPos(controlModel, motion, 'LeftTalus_1') + getBodyGlobalPos(controlModel, motion, 'RightCalcaneus_1') + getBodyGlobalPos(controlModel, motion, 'RightTalus_1'))/4.

        footCenter_ref = refFootL + (refFootR - refFootL) / 2.0
        #footCenter_ref[1] = 0.
        footCenter[1] = 0.
        footCenterOffset = np.array([
            viewer.objectInfoWnd.comOffsetX.value(), 0,
            viewer.objectInfoWnd.comOffsetZ.value()
        ])
        #footCenter += footCenterOffset

        vecRatio = mm.length(curRelCMVec) * 0.
        softConstPointOffset = -curRelCMVec * (vecRatio)  #/10.0
        #print(frame, vecRatio, softConstPointOffset)

        desForeSupLAcc = [0, 0, 0]
        desForeSupRAcc = [0, 0, 0]

        totalNormalForce = [0, 0, 0]

        for i in range(len(contactForces)):
            totalNormalForce[0] += contactForces[i][0]
            totalNormalForce[1] += contactForces[i][1]
            totalNormalForce[2] += contactForces[i][2]

        #print((totalMass*mm.s2v(wcfg.gravity))[1])

        footCenterOffset = np.array([
            viewer.objectInfoWnd.comOffsetX.value(),
            viewer.objectInfoWnd.comOffsetY.value(),
            viewer.objectInfoWnd.comOffsetZ.value()
        ])

        ######################
        # optimization terms
        ######################

        # linear momentum
        CM_ref_plane = footCenter + footCenterOffset
        dL_des_plane = Kl * totalMass * (CM_ref_plane -
                                         CM_plane) - Dl * totalMass * dCM_plane
        dL_des_plane[1] = Kl * totalMass * (CM_ref[1] + footCenterOffset[1] -
                                            CM[1]) - Dl * totalMass * dCM[1]

        # angular momentum
        CP_ref = footCenter + footCenterOffset

        timeStep = 30.
        if CP_old[0] == None or CP == None:
            dCP = None
        else:
            dCP = (CP - CP_old[0]) / (1 / timeStep)
        CP_old[0] = CP

        if CP != None and dCP != None:
            ddCP_des = Kh * (CP_ref - CP) - Dh * (dCP)
            CP_des = CP + dCP * (1 / timeStep) + .5 * ddCP_des * (
                (1 / timeStep)**2)
            #dH_des = np.cross((CP_des - CM), (dL_des_plane + totalMass*mm.s2v(wcfg.gravity)))
            dH_des = np.cross(
                (CP_des - CM_plane),
                (dL_des_plane + totalMass * mm.s2v(wcfg.gravity)))
        else:
            dH_des = None

        # 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)

        flagContact = True
        if dH_des == None or np.any(np.isnan(dH_des)) == True:
            flagContact = False
            #viewer.doc.showRenderer('rd_grf_des', False)
            #viewer.motionViewWnd.update(1, viewer.doc)
        #else:
        #viewer.doc.showRenderer('rd_grf_des', True)
        #viewer.motionViewWnd.update(1, viewer.doc)
        '''
        0 : initial
        1 : contact
        2 : fly
        3 : landing
        '''

        trackingW = w

        #if checkAll(contactFlagFootR, 0) != 1 :
        if 0:  #stage == MOTION_TRACKING:
            trackingW = w2
            #stage = POWERFUL_BALANCING
            Bt = Bt * 2

        #######################
        # optimization
        #######################

        mot.addTrackingTerms(problem, totalDOF, Bt, trackingW, ddth_des_flat)

        #if flagContact == True:
        #    mot.addLinearTerms(problem, totalDOF, Bl, dL_des_plane, R, r_bias)
        #    mot.addAngularTerms(problem, totalDOF, Bh, dH_des, S, s_bias)

        a_sup_2 = None
        Jsup_2 = None
        dJsup_2 = None

        ##############################

        #if Jsup_2 != None:
        #    mot.addConstraint(problem, totalDOF, Jsup_2, dJsup_2, dth_flat, a_sup_2)

        timeReport[4] += time.time() - curTime
        curTime = time.time()

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

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

        timeReport[5] += time.time() - curTime
        curTime = time.time()

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

            vpWorld.applyPenaltyForce(bodyIDs, contactPositionLocals,
                                      contactForces)

            extraForce[0] = viewer.GetForce()
            if (extraForce[0][0] != 0 or extraForce[0][1] != 0
                    or extraForce[0][2] != 0):
                forceApplyFrame += 1
                #vpWorld.applyPenaltyForce(selectedBodyId, localPos, extraForce)
                controlModel.applyBodyForceGlobal(selectedBody, extraForce[0])
                applyedExtraForce[0] = extraForce[0]

            if forceApplyFrame * wcfg.timeStep > 0.1:
                viewer.ResetForce()
                forceApplyFrame = 0

            controlModel.setDOFAccelerations(ddth_sol)

            controlModel.solveHybridDynamics()

            vpWorld.step()

        if frame % 30 == 0:
            print 'elapsed time for 30 frames:', time.time() - pt[0]
        # rendering

        rd_footCenter[0] = footCenter

        rd_CM[0] = CM.copy()

        rd_CM_plane[0] = CM_plane.copy()

        rd_footCenter_ref[0] = footCenter_ref
        rd_CM_plane_ref[0] = CM_ref.copy()
        rd_CM_ref[0] = CM_ref.copy()
        rd_CM_ref_vec[0] = (CM_ref - footCenter_ref) * 3.
        rd_CM_vec[0] = (CM - CM_plane)
        rd_CM_des[0] = CM_ref_plane.copy()
        rd_CM_des[0][1] = .01

        #rd_CM_plane[0][1] = 0.

        if CP != None and dCP != None:
            rd_CP[0] = CP
            rd_CP_des[0] = CP_des

        rd_dL_des_plane[0] = dL_des_plane
        rd_dH_des[0] = dH_des

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

        rd_exf_des[0] = applyedExtraForce[0]
        rd_root_des[0] = rootPos[0]

        rd_CMP[0] = softConstPoint

        rd_soft_const_vec[0] = controlModel.getBodyPositionGlobal(
            constBody) - softConstPoint

        #indexL = motion[0].skeleton.getJointIndex('Hips')
        #indexR = motion[0].skeleton.getJointIndex('Spine1')
        indexL = indexFootL[0]
        indexR = indexFootR[0]

        curAng = [controlModel.getBodyOrientationGlobal(indexL)]
        curAngY = np.dot(curAng, np.array([0, 0, 1]))

        rd_footL_vec[0] = np.copy(curAngY[0])
        rd_footCenterL[0] = controlModel.getBodyPositionGlobal(indexL)

        curAng = [controlModel.getBodyOrientationGlobal(indexR)]
        curAngY = np.dot(curAng, np.array([0, 0, 1]))

        rd_footR_vec[0] = np.copy(curAngY[0])
        rd_footCenterR[0] = controlModel.getBodyPositionGlobal(indexR)

        if (forceApplyFrame == 0):
            applyedExtraForce[0] = [0, 0, 0]

        timeReport[6] += time.time() - curTime
        # print timeReport

    viewer.setSimulateCallback(simulateCallback)

    viewer.startTimer(1 / 30.)
    viewer.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()
Example #10
0
def main():
    np.set_printoptions(precision=4, linewidth=200)

    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)
    vpWorld.initialize()
    controlModel.initializeHybridDynamics()

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

    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)
        print(joint_idx, joint_name)
        # 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_dofs.extend(foot_dofs_temp)
            elif 'Right' in joint_name:
                right_foot_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()

    supLJointMasks = [yjc.getLinkJointMask(motion[0].skeleton, supL)]
    supRJointMasks = [yjc.getLinkJointMask(motion[0].skeleton, supR)]
    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
    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.)]

    # penalty method
    bodyIDsToCheck = 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(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('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)
    control_model_renderer.body_colors[supL] = (255, 0, 0)
    control_model_renderer.body_colors[supR] = (255, 0, 0)
    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)))

    # 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., 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)

    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])

        global g_initFlag
        global forceShowTime

        global JsysPre
        global JsupPreL
        global JsupPreR
        global JsupPre

        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
        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)
        ype.flatten(dth, dth_flat)

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

        # 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))

        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 = 0

        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()
            # JsupPreL = JsupL.copy()
            # JsupPreR = JsupR.copy()
            JconstPre = Jconst.copy()
            softConstPoint = footCenterR.copy()
            yjc.computeJacobian2(JsysPre, DOFs, jointPositions, jointAxeses, linkPositions, allLinkJointMasks)
            # yjc.computeJacobian2(JsupPreL, DOFs, jointPositions, jointAxeses, [footCenterL], supLJointMasks)
            # yjc.computeJacobian2(JsupPreR, DOFs, jointPositions, jointAxeses, [footCenterR], supRJointMasks)
            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
        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)

        JsupL, supLJointMasks = get_jacobianbase_and_masks(motion[0].skeleton, DOFs, supL)
        yjc.computeJacobian2(JsupL, DOFs, jointPositions, jointAxeses, [footCenterL], supLJointMasks)
        # dJsupL = (JsupL - JsupPreL)/(1/30.)
        # JsupPreL = JsupL.copy()
        yjc.computeJacobianDerivative2(dJsupL, DOFs, jointPositions, jointAxeses, linkAngVelocities, [footCenterL], supLJointMasks)

        JsupR, supRJointMasks = get_jacobianbase_and_masks(motion[0].skeleton, DOFs, supR)
        yjc.computeJacobian2(JsupR, DOFs, jointPositions, jointAxeses, [footCenterR], supRJointMasks)
        # dJsupR = (JsupR - JsupPreR)/(1/30.)
        # JsupPreR = JsupR.copy()
        yjc.computeJacobianDerivative2(dJsupR, DOFs, jointPositions, jointAxeses, linkAngVelocities, [footCenterR], supRJointMasks)

        # calculate footCenter
        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
        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 = 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
        # left_foot_up_vec, right_foot_up_vec = hfi.get_foot_up_vector(motion[frame], footIdDic, None)
        left_foot_up_vec, right_foot_up_vec = hfi.get_foot_up_vector(controlModel, footIdDic, None)
        # print(left_foot_up_vec, right_foot_up_vec)
        # 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])))
        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])))

        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))

        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)
        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)

            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()
        ddth_sol_flat = np.asarray(r['x'])
        # ddth_sol_flat[foot_seg_dofs] = np.array(ddth_des_flat)[foot_seg_dofs]
        print(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.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()

        # 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

            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)

    viewer.setSimulateCallback(simulateCallback)

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

    Fl.run()
Example #11
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)