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

    motionFile = 'wd2_tiptoe.bvh'
    motionFile = 'wd2_tiptoe_zygote.bvh'
    # motion, mcfg, wcfg, stepsPerFrame, config, frame_rate = mit.create_biped(motionFile, SEGMENT_FOOT_RAD=0.008)
    motion, mcfg, wcfg, stepsPerFrame, config, frame_rate = mit.create_biped(
        motionFile, SEGMENT_FOOT_MAG=0.01, SEGMENT_FOOT_RAD=0.008)
    # motion, mcfg, wcfg, stepsPerFrame, config, frame_rate = mit.create_biped()
    # motion, mcfg, wcfg, stepsPerFrame, config = mit.create_jump_biped()

    vpWorld = cvw.VpWorld(wcfg)
    sphere_radius = 0.5
    # vpWorld.add_sphere_bump(sphere_radius, (1.6361, -sphere_radius + 0.08, -0.3209))
    # vpWorld.add_sphere_bump(sphere_radius, (1.4543, -sphere_radius + 0.08, -0.3301))
    vpWorld.add_sphere_bump(sphere_radius,
                            (1.6361, -sphere_radius + 0.08, -0.2909))
    vpWorld.add_sphere_bump(sphere_radius,
                            (1.4543, -sphere_radius + 0.08, -0.2901))
    vpWorld.SetGlobalDamping(0.999)
    motionModel = cvm.VpMotionModel(vpWorld, motion[0], mcfg)
    controlModel = cvm.VpControlModel(vpWorld, motion[0], mcfg)
    # controlModel_shadow_for_ik = cvm.VpControlModel(vpWorld, motion[0], mcfg)
    vpWorld.initialize()
    controlModel.initializeHybridDynamics()

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

    wcfg_ik = copy.deepcopy(wcfg)
    vpWorld_ik = cvw.VpWorld(wcfg_ik)
    controlModel_ik = cvm.VpControlModel(vpWorld_ik, motion[0], mcfg)
    vpWorld_ik.initialize()
    controlModel_ik.set_q(np.zeros_like(controlModel.get_q()))

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

    print(totalDOF)
    print(controlModel.getTotalMass())

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

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

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

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

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

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

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

    supL = motion[0].skeleton.getJointIndex('LeftFoot')
    supR = motion[0].skeleton.getJointIndex('RightFoot')

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

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

    # penalty method
    bodyIDsToCheck = list(range(vpWorld.getBodyNum()))
    # mus = [1.]*len(bodyIDsToCheck)
    mus = [2.] * 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_footCenter_ref = [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_foot_ori = [None]
    rd_foot_pos = [None]

    rd_root_ori = [None]
    rd_root_pos = [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]

    def makeEmptyBasicSkeletonTransformDict(init=None):
        Ts = dict()
        Ts['pelvis'] = init
        Ts['spine_ribs'] = init
        Ts['head'] = init
        Ts['thigh_R'] = init
        Ts['shin_R'] = init
        Ts['foot_heel_R'] = init
        Ts['foot_R'] = init
        Ts['heel_R'] = init
        Ts['outside_metatarsal_R'] = init
        Ts['outside_phalanges_R'] = init
        Ts['inside_metatarsal_R'] = init
        Ts['inside_phalanges_R'] = init
        Ts['upper_limb_R'] = init
        Ts['lower_limb_R'] = init
        Ts['thigh_L'] = init
        Ts['shin_L'] = init
        Ts['foot_heel_L'] = init
        Ts['foot_L'] = init
        Ts['heel_L'] = init
        Ts['outside_metatarsal_L'] = init
        Ts['outside_phalanges_L'] = init
        Ts['inside_metatarsal_L'] = init
        Ts['inside_phalanges_L'] = init

        Ts['upper_limb_L'] = init
        Ts['lower_limb_L'] = init

        return Ts

    # viewer = ysv.SimpleViewer()
    # viewer = hsv.hpSimpleViewer(rect=[0, 0, 1024, 768], viewForceWnd=False)
    viewer = hsv.hpSimpleViewer(rect=[0, 0, 960 + 300, 1 + 1080 + 55],
                                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('world', yr.VpWorldRenderer(vpWorld,
                                                       (150, 150, 150)))
    viewer.doc.addRenderer(
        'motionModel',
        yr.VpModelRenderer(motionModel, (150, 150, 255), yr.POLYGON_FILL))
    viewer.doc.setRendererVisible('motionModel', False)
    viewer.doc.addRenderer(
        'ikModel',
        yr.VpModelRenderer(controlModel_ik, (150, 150, 255), yr.POLYGON_LINE))
    viewer.doc.setRendererVisible('ikModel', False)
    # 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)
    skeleton_renderer = None
    if SKELETON_ON:
        # skeleton_renderer = yr.BasicSkeletonRenderer(makeEmptyBasicSkeletonTransformDict(np.eye(4)), offset_Y=-0.08)
        # skeleton_renderer = yr.BasicSkeletonRenderer(makeEmptyBasicSkeletonTransformDict(np.eye(4)), color=(230, 230, 230), offset_draw=(0.8, -0.02, 0.))
        skeleton_renderer = yr.BasicSkeletonRenderer(
            makeEmptyBasicSkeletonTransformDict(np.eye(4)),
            color=(230, 230, 230),
            offset_draw=(0., -0.0, 0.))
        viewer.doc.addRenderer('skeleton', skeleton_renderer)
    viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
    # viewer.doc.setRendererVisible('rd_footCenter', False)
    viewer.doc.addRenderer('rd_footCenter_ref',
                           yr.PointsRenderer(rd_footCenter_ref))
    # viewer.doc.setRendererVisible('rd_footCenter_ref', False)
    viewer.doc.addRenderer('rd_CM_plane',
                           yr.PointsRenderer(rd_CM_plane, (255, 255, 0)))
    # viewer.doc.setRendererVisible('rd_CM_plane', False)
    viewer.doc.addRenderer('rd_CP', yr.PointsRenderer(rd_CP, (0, 255, 0)))
    # viewer.doc.setRendererVisible('rd_CP', False)
    viewer.doc.addRenderer('rd_CP_des',
                           yr.PointsRenderer(rd_CP_des, (255, 0, 255)))
    # viewer.doc.setRendererVisible('rd_CP_des', False)
    viewer.doc.addRenderer(
        'rd_dL_des_plane',
        yr.VectorsRenderer(rd_dL_des_plane, rd_CM, (255, 255, 0)))
    # viewer.doc.setRendererVisible('rd_dL_des_plane', False)
    viewer.doc.addRenderer('rd_dH_des',
                           yr.VectorsRenderer(rd_dH_des, rd_CM, (0, 255, 0)))
    # viewer.doc.setRendererVisible('rd_dH_des', False)
    # 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.setRendererVisible('rd_CF', False)
    viewer.doc.addRenderer(
        'rd_foot_ori',
        yr.OrientationsRenderer(rd_foot_ori, rd_foot_pos, (255, 255, 0)))
    viewer.doc.setRendererVisible('rd_foot_ori', False)

    viewer.doc.addRenderer(
        'rd_root_ori',
        yr.OrientationsRenderer(rd_root_ori, rd_root_pos, (255, 255, 0)))
    viewer.doc.setRendererVisible('rd_root_ori', False)

    viewer.doc.addRenderer(
        'extraForce', yr.VectorsRenderer(rd_exf_des, extraForcePos,
                                         (0, 255, 0)))
    viewer.doc.setRendererVisible('extraForce', False)
    # viewer.doc.addRenderer('extraForceEnable', yr.VectorsRenderer(rd_exfen_des, extraForcePos, (255,0,0)))
    viewer.doc.addRenderer(
        'extraForceEnable',
        yr.WideArrowRenderer(rd_exfen_des,
                             extraForcePos, (255, 0, 0),
                             lineWidth=.05,
                             fromPoint=False))

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

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

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

    initKt = 25.
    # initKt = 60.
    initKl = 100.
    initKh = 100.

    initBl = .1
    initBh = .13
    # initSupKt = 17
    initSupKt = 22

    initFm = 50.0

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

    viewer.objectInfoWnd.add1DSlider("Kt", 0., 300., 1., initKt)
    viewer.objectInfoWnd.add1DSlider("Kl", 0., 300., 1., initKl)
    viewer.objectInfoWnd.add1DSlider("Kh", 0., 300., 1., initKh)
    viewer.objectInfoWnd.add1DSlider("Bl", 0., 1., .001, initBl)
    viewer.objectInfoWnd.add1DSlider("Bh", 0., 1., .001, initBh)
    viewer.objectInfoWnd.add1DSlider("SupKt", 0., 300., 0.1, initSupKt)
    viewer.objectInfoWnd.add1DSlider("Fm", 0., 1000., 1., 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.objectInfoWnd.add1DSlider("tiptoe angle", -0.5, .5, 0.001, 0.)
    viewer.objectInfoWnd.add1DSlider("left tilt angle", -0.5, .5, 0.001, 0.)
    viewer.objectInfoWnd.add1DSlider("right tilt angle", -0.5, .5, 0.001, 0.)

    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(0.4)

    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)

    def setParamVal(paramname, val):
        viewer.objectInfoWnd.setVal(paramname, val)

    idDic = dict()
    for i in range(motion[0].skeleton.getJointNum()):
        idDic[motion[0].skeleton.getJointName(i)] = i

    # extendedFootName = ['Foot_foot_0_0', 'Foot_foot_0_1', 'Foot_foot_0_0_0', 'Foot_foot_0_1_0', 'Foot_foot_1_0']
    extendedFootName = [
        'Foot_foot_0_0', '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')

    # ik_solver = hik.numIkSolver(dartIkModel)
    # ik_solver.clear()

    # bodyIDsToCheck = rIDlist.copy()

    joint_names = [
        motion[0].skeleton.getJointName(i)
        for i in range(motion[0].skeleton.getJointNum())
    ]

    def fix_dofs(_DOFs, nested_dof_values, _mcfg, _joint_names):
        fixed_nested_dof_values = list()
        fixed_nested_dof_values.append(nested_dof_values[0])
        for i in range(1, len(_DOFs)):
            dof = _DOFs[i]
            if dof == 1:
                node = _mcfg.getNode(_joint_names[i])
                axis = mm.unitZ()
                if node.jointAxes[0] == 'X':
                    axis = mm.unitX()
                elif node.jointAxes[0] == 'Y':
                    axis = mm.unitY()
                fixed_nested_dof_values.append(
                    np.array([np.dot(nested_dof_values[i], axis)]))
            else:
                fixed_nested_dof_values.append(nested_dof_values[i])

        return fixed_nested_dof_values

    start_frame = 200

    up_vec_in_each_link = dict()
    for foot_id in footIdlist:
        up_vec_in_each_link[
            foot_id] = controlModel_ik.getBodyOrientationGlobal(foot_id)[1, :]
    controlModel_ik.set_q(controlModel.get_q())

    ###################################
    # simulate
    ###################################
    def simulateCallback(frame):
        # print(frame)
        # print(motion[frame].getJointOrientationLocal(footIdDic['RightFoot_foot_0_1_0']))
        # hfi.footAdjust(motion[frame], idDic, SEGMENT_FOOT_MAG=.03, SEGMENT_FOOT_RAD=.015, baseHeight=0.02)

        if abs(getParamVal('tiptoe angle')) > 0.001:
            tiptoe_angle = getParamVal('tiptoe angle')
            motion[frame].mulJointOrientationLocal(
                idDic['LeftFoot_foot_0_0_0'],
                mm.exp(mm.unitX(), -math.pi * tiptoe_angle))
            motion[frame].mulJointOrientationLocal(
                idDic['LeftFoot_foot_0_1_0'],
                mm.exp(mm.unitX(), -math.pi * tiptoe_angle))
            motion[frame].mulJointOrientationLocal(
                idDic['RightFoot_foot_0_0_0'],
                mm.exp(mm.unitX(), -math.pi * tiptoe_angle))
            motion[frame].mulJointOrientationLocal(
                idDic['RightFoot_foot_0_1_0'],
                mm.exp(mm.unitX(), -math.pi * tiptoe_angle))
            # motion[frame].mulJointOrientationLocal(idDic['LeftFoot'], mm.exp(mm.unitX(), math.pi * tiptoe_angle * 0.95))
            # motion[frame].mulJointOrientationLocal(idDic['RightFoot'], mm.exp(mm.unitX(), math.pi * tiptoe_angle * 0.95))
            # motion[frame].mulJointOrientationLocal(idDic['LeftFoot'], mm.exp(mm.unitX(), math.pi * tiptoe_angle))
            # motion[frame].mulJointOrientationLocal(idDic['RightFoot'], mm.exp(mm.unitX(), math.pi * tiptoe_angle))

        if getParamVal('left tilt angle') > 0.001:
            left_tilt_angle = getParamVal('left tilt angle')
            if motion[0].skeleton.getJointIndex(
                    'LeftFoot_foot_0_1') is not None:
                motion[frame].mulJointOrientationLocal(
                    idDic['LeftFoot_foot_0_1'],
                    mm.exp(mm.unitZ(), -math.pi * left_tilt_angle))
            else:
                motion[frame].mulJointOrientationLocal(
                    idDic['LeftFoot_foot_0_1_0'],
                    mm.exp(mm.unitZ(), -math.pi * left_tilt_angle))
            motion[frame].mulJointOrientationLocal(
                idDic['LeftFoot'], mm.exp(mm.unitZ(),
                                          math.pi * left_tilt_angle))

        elif getParamVal('left tilt angle') < -0.001:
            left_tilt_angle = getParamVal('left tilt angle')
            motion[frame].mulJointOrientationLocal(
                idDic['LeftFoot_foot_0_0'],
                mm.exp(mm.unitZ(), -math.pi * left_tilt_angle))
            if motion[0].skeleton.getJointIndex(
                    'LeftFoot_foot_0_1') is not None:
                motion[frame].mulJointOrientationLocal(
                    idDic['LeftFoot_foot_0_1'],
                    mm.exp(mm.unitZ(), math.pi * left_tilt_angle))
            else:
                motion[frame].mulJointOrientationLocal(
                    idDic['LeftFoot_foot_0_1_0'],
                    mm.exp(mm.unitZ(), math.pi * left_tilt_angle))
            motion[frame].mulJointOrientationLocal(
                idDic['LeftFoot'], mm.exp(mm.unitZ(),
                                          math.pi * left_tilt_angle))

        if getParamVal('right tilt angle') > 0.001:
            right_tilt_angle = getParamVal('right tilt angle')
            if motion[0].skeleton.getJointIndex(
                    'RightFoot_foot_0_1') is not None:
                motion[frame].mulJointOrientationLocal(
                    idDic['RightFoot_foot_0_1'],
                    mm.exp(mm.unitZ(), math.pi * right_tilt_angle))
            else:
                motion[frame].mulJointOrientationLocal(
                    idDic['RightFoot_foot_0_1_0'],
                    mm.exp(mm.unitZ(), math.pi * right_tilt_angle))
            motion[frame].mulJointOrientationLocal(
                idDic['RightFoot'],
                mm.exp(mm.unitZ(), -math.pi * right_tilt_angle))
        elif getParamVal('right tilt angle') < -0.001:
            right_tilt_angle = getParamVal('right tilt angle')
            motion[frame].mulJointOrientationLocal(
                idDic['RightFoot_foot_0_0'],
                mm.exp(mm.unitZ(), math.pi * right_tilt_angle))
            if motion[0].skeleton.getJointIndex(
                    'RightFoot_foot_0_1') is not None:
                motion[frame].mulJointOrientationLocal(
                    idDic['RightFoot_foot_0_1'],
                    mm.exp(mm.unitZ(), -math.pi * right_tilt_angle))
            # else:
            #     motion[frame].mulJointOrientationLocal(idDic['RightFoot_foot_0_1_0'], mm.exp(mm.unitZ(), -math.pi * right_tilt_angle))
            motion[frame].mulJointOrientationLocal(
                idDic['RightFoot'],
                mm.exp(mm.unitZ(), -math.pi * right_tilt_angle))

        motionModel.update(motion[frame])
        motionModel.translateByOffset(
            np.array([
                getParamVal('com X offset'),
                getParamVal('com Y offset'),
                getParamVal('com Z offset')
            ]))
        controlModel_ik.set_q(controlModel.get_q())

        global g_initFlag
        global forceShowTime

        global JsysPre
        global JsupPreL
        global JsupPreR

        global JconstPre

        global preFootCenter
        global maxContactChangeCount
        global contactChangeCount
        global contact
        global contactChangeType

        Kt, Kl, Kh, Bl, Bh, kt_sup = 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)

        # 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(fix_dofs(DOFs, ddth_des, mcfg, joint_names), ddth_des_flat)
        # ype.flatten(fix_dofs(DOFs, dth, mcfg, joint_names), dth_flat)
        ype.flatten(ddth_des, ddth_des_flat)
        ype.flatten(dth, dth_flat)

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

        contact_des_ids = list()  # desired contact segments
        if foot_viewer.check_om_l.value():
            contact_des_ids.append(
                motion[0].skeleton.getJointIndex('LeftFoot_foot_0_0'))
        if foot_viewer.check_op_l.value():
            contact_des_ids.append(
                motion[0].skeleton.getJointIndex('LeftFoot_foot_0_0_0'))
        if foot_viewer.check_im_l is not None and foot_viewer.check_im_l.value(
        ):
            contact_des_ids.append(
                motion[0].skeleton.getJointIndex('LeftFoot_foot_0_1'))
        if foot_viewer.check_ip_l.value():
            contact_des_ids.append(
                motion[0].skeleton.getJointIndex('LeftFoot_foot_0_1_0'))
        if foot_viewer.check_h_l.value():
            contact_des_ids.append(
                motion[0].skeleton.getJointIndex('LeftFoot_foot_1_0'))

        if foot_viewer.check_om_r.value():
            contact_des_ids.append(
                motion[0].skeleton.getJointIndex('RightFoot_foot_0_0'))
        if foot_viewer.check_op_r.value():
            contact_des_ids.append(
                motion[0].skeleton.getJointIndex('RightFoot_foot_0_0_0'))
        if foot_viewer.check_im_r is not None and foot_viewer.check_im_r.value(
        ):
            contact_des_ids.append(
                motion[0].skeleton.getJointIndex('RightFoot_foot_0_1'))
        if foot_viewer.check_ip_r.value():
            contact_des_ids.append(
                motion[0].skeleton.getJointIndex('RightFoot_foot_0_1_0'))
        if foot_viewer.check_h_r.value():
            contact_des_ids.append(
                motion[0].skeleton.getJointIndex('RightFoot_foot_1_0'))

        contact_ids = list()  # temp idx for balancing
        contact_ids.extend(contact_des_ids)

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

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

        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

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

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

        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 jacobian
        Jsys, dJsys = controlModel.computeCom_J_dJdq()
        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(dJsys[6 * contact_id:6 * contact_id + 6])

        # calculate footCenter
        footCenter = sum(contact_body_pos) / len(contact_body_pos) if len(contact_body_pos) > 0 \
                        else .5 * (controlModel.getBodyPositionGlobal(supL) + controlModel.getBodyPositionGlobal(supR))
        footCenter[1] = 0.
        # if len(contact_body_pos) > 2:
        #     hull = ConvexHull(contact_body_pos)

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

        # footCenter[0] = footCenter[0] + getParamVal('com X offset')
        # footCenter[1] = footCenter[0] + getParamVal('com Y offset')
        # footCenter[2] = footCenter[2] + getParamVal('com Z offset')

        # initialization
        if g_initFlag == 0:
            preFootCenter[0] = footCenter.copy()
            g_initFlag = 1

        # if contactChangeCount == 0 and np.linalg.norm(footCenter - preFootCenter[0]) > 0.01:
        #     contactChangeCount += 30
        if contactChangeCount > 0:
            # change footcenter gradually
            footCenter = preFootCenter[0] + (
                maxContactChangeCount - contactChangeCount) * (
                    footCenter - preFootCenter[0]) / maxContactChangeCount
        else:
            preFootCenter[0] = footCenter.copy()

        # linear momentum
        # TODO:
        # We should consider dCM_ref, shouldn't we?
        # add getBodyPositionGlobal and getBodyPositionsGlobal in csVpModel!
        # to do that, set joint velocities to vpModel
        CM_ref_plane = footCenter
        # CM_ref_plane = footCenter_ref
        CM_ref = footCenter + np.array([
            getParamVal('com X offset'),
            motionModel.getCOM()[1] + getParamVal('com Y offset'),
            getParamVal('com Z offset')
        ])
        dL_des_plane = Kl * totalMass * (CM_ref - CM) - Dl * totalMass * dCM
        # dL_des_plane = Kl * totalMass * (CM_ref_plane - CM_plane) - Dl * totalMass * dCM_plane
        # dL_des_plane[1] = 0.
        # print('dCM_plane : ', np.linalg.norm(dCM_plane))

        # angular momentum
        CP_ref = footCenter
        # CP_ref = footCenter_ref
        bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(
            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
            dCP_des = dCP + ddCP_des * (1 / 30.)
            CP_des = CP + dCP_des * (1 / 30.)
            # CP_des = footCenter
            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

        # convex hull
        contact_pos_2d = np.asarray([
            np.array([contactPosition[0], contactPosition[2]])
            for contactPosition in contactPositions
        ])
        p = np.array([CM_plane[0], CM_plane[2]])
        # hull = None  # type: Delaunay
        # if contact_pos_2d.shape[0] > 0:
        #     hull = Delaunay(contact_pos_2d)
        #     print(hull.find_simplex(p) >= 0)

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

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

        KT_SUP = np.diag([kt_sup / 10., kt_sup, kt_sup / 10.])
        # KT_SUP = np.diag([kt_sup, kt_sup, kt_sup])

        # a_oris = list(map(mm.logSO3, [mm.getSO3FromVectors(np.dot(body_ori, mm.unitY()), mm.unitY()) for body_ori in contact_body_ori]))
        # a_oris = list(map(mm.logSO3, [mm.getSO3FromVectors(np.dot(contact_body_ori[i], up_vec_in_each_link[contact_ids[i]]), mm.unitY()) for i in range(len(contact_body_ori))]))
        # a_sups = [np.append(kt_sup*(ref_body_pos[i] - contact_body_pos[i] + contMotionOffset) + dt_sup*(ref_body_vel[i] - contact_body_vel[i]),
        #                     kt_sup*a_oris[i]+dt_sup*(ref_body_angvel[i]-contact_body_angvel[i])) for i in range(len(a_oris))]
        # a_sups = [np.append(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))]
        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))
        ]
        # for i in range(len(a_sups)):
        #     a_sups[i][1] = -kt_sup * contact_body_pos[i][1] - dt_sup * contact_body_vel[i][1]

        # 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, dJsys)
        r_bias, s_bias = np.hsplit(rs, 2)

        #######################################################
        # optimization
        #######################################################
        # if contact == 2 and footCenterR[1] > doubleTosingleOffset/2:
        if contact_left and not contact_right:
            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_right and not contact_left:
            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'])

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

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

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

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

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

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

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

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

            vpWorld.step()

        controlModel_ik.set_q(controlModel.get_q())

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

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

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

        rd_footCenter[0] = footCenter
        rd_footCenter_ref[0] = footCenter_ref

        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)

        del rd_foot_ori[:]
        del rd_foot_pos[:]
        # for seg_foot_id in footIdlist:
        #     rd_foot_ori.append(controlModel.getJointOrientationGlobal(seg_foot_id))
        #     rd_foot_pos.append(controlModel.getJointPositionGlobal(seg_foot_id))
        rd_foot_ori.append(controlModel.getJointOrientationGlobal(supL))
        rd_foot_ori.append(controlModel.getJointOrientationGlobal(supR))
        rd_foot_pos.append(controlModel.getJointPositionGlobal(supL))
        rd_foot_pos.append(controlModel.getJointPositionGlobal(supR))

        rd_root_des[0] = rootPos[0]
        rd_root_ori[0] = controlModel.getBodyOrientationGlobal(0)
        rd_root_pos[0] = controlModel.getBodyPositionGlobal(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)
        extraForcePos[0] = controlModel.getBodyPositionGlobal(
            selectedBody) - 0.1 * np.array([
                viewer.objectInfoWnd.labelForceX.value(), 0.,
                viewer.objectInfoWnd.labelForceZ.value()
            ])

        # render contact_ids

        # render skeleton
        if SKELETON_ON:
            Ts = dict()
            Ts['pelvis'] = controlModel.getJointTransform(idDic['Hips'])
            Ts['thigh_R'] = controlModel.getJointTransform(idDic['RightUpLeg'])
            Ts['shin_R'] = controlModel.getJointTransform(idDic['RightLeg'])
            Ts['foot_R'] = controlModel.getJointTransform(idDic['RightFoot'])
            Ts['foot_heel_R'] = controlModel.getJointTransform(
                idDic['RightFoot'])
            Ts['heel_R'] = np.eye(4)
            Ts['outside_metatarsal_R'] = controlModel.getJointTransform(
                idDic['RightFoot_foot_0_0'])
            Ts['outside_phalanges_R'] = controlModel.getJointTransform(
                idDic['RightFoot_foot_0_0_0'])
            # Ts['inside_metatarsal_R'] = controlModel.getJointTransform(idDic['RightFoot_foot_0_1'])
            Ts['inside_metatarsal_R'] = np.eye(4)
            Ts['inside_phalanges_R'] = controlModel.getJointTransform(
                idDic['RightFoot_foot_0_1_0'])
            Ts['spine_ribs'] = controlModel.getJointTransform(idDic['Spine'])
            Ts['head'] = controlModel.getJointTransform(idDic['Spine1'])
            Ts['upper_limb_R'] = controlModel.getJointTransform(
                idDic['RightArm'])
            Ts['lower_limb_R'] = controlModel.getJointTransform(
                idDic['RightForeArm'])
            Ts['thigh_L'] = controlModel.getJointTransform(idDic['LeftUpLeg'])
            Ts['shin_L'] = controlModel.getJointTransform(idDic['LeftLeg'])
            Ts['foot_L'] = controlModel.getJointTransform(idDic['LeftFoot'])
            Ts['foot_heel_L'] = controlModel.getJointTransform(
                idDic['LeftFoot'])
            Ts['heel_L'] = np.eye(4)
            Ts['outside_metatarsal_L'] = controlModel.getJointTransform(
                idDic['LeftFoot_foot_0_0'])
            Ts['outside_phalanges_L'] = controlModel.getJointTransform(
                idDic['LeftFoot_foot_0_0_0'])
            # Ts['inside_metatarsal_L'] = controlModel.getJointTransform(idDic['LeftFoot_foot_0_1'])
            Ts['inside_metatarsal_L'] = np.eye(4)
            Ts['inside_phalanges_L'] = controlModel.getJointTransform(
                idDic['LeftFoot_foot_0_1_0'])
            Ts['upper_limb_L'] = controlModel.getJointTransform(
                idDic['LeftArm'])
            Ts['lower_limb_L'] = controlModel.getJointTransform(
                idDic['LeftForeArm'])

            skeleton_renderer.appendFrameState(Ts)

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

    foot_viewer = FootWindow(viewer.x() + viewer.w() + 20, viewer.y(), 300,
                             500, 'foot contact modifier', controlModel)
    foot_viewer.show()
    foot_viewer.check_all_seg()
    viewer.motionViewWnd.goToFrame(0)

    Fl.run()
コード例 #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_zygote()
    # motion, mcfg, wcfg, stepsPerFrame, config = mit.create_jump_biped()

    vpWorld = cvw.VpWorld(wcfg)
    sphere_radius = 0.5
    vpWorld.add_sphere_bump(sphere_radius, (1.6361, -sphere_radius + 0.08, -0.3209))
    vpWorld.add_sphere_bump(sphere_radius, (1.4543, -sphere_radius + 0.08, -0.3301))
    # vpWorld.add_sphere_bump(sphere_radius, (1.6361, -sphere_radius + 0.08, -0.2909))
    # vpWorld.add_sphere_bump(sphere_radius, (1.4543, -sphere_radius + 0.08, -0.2901))
    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()

    # 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'])
    selectedBody = motion[0].skeleton.getJointIndex('Spine')
    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 = list(range(vpWorld.getBodyNum()))
    mus = [1.]*len(bodyIDsToCheck)
    # mus = [.5]*len(bodyIDsToCheck)

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

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

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

    rd_CF = [None]
    rd_CF_pos = [None]

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

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

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

    # viewer = ysv.SimpleViewer()
    viewer = hsv.hpSimpleViewer(rect=(0, 0, 960+300, 1080+56), 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('world', yr.VpWorldRenderer(vpWorld, (150, 150, 150)))
    viewer.doc.addRenderer('motionModel', yr.VpModelRenderer(motionModel, (150,150,255), yr.POLYGON_FILL))
    viewer.doc.setRendererVisible('motionModel', False)
    # viewer.doc.addRenderer('controlModel', cvr.VpModelRenderer(controlModel, (255,240,255), yr.POLYGON_LINE))
    viewer.doc.addRenderer('controlModel', yr.VpModelRenderer(controlModel, (255,240,255), yr.POLYGON_FILL))
    viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
    viewer.doc.setRendererVisible('rd_footCenter', False)
    viewer.doc.addRenderer('rd_CM_plane', yr.PointsRenderer(rd_CM_plane, (255,255,0)))
    viewer.doc.setRendererVisible('rd_CM_plane', False)
    viewer.doc.addRenderer('rd_CP', yr.PointsRenderer(rd_CP, (0,255,0)))
    viewer.doc.setRendererVisible('rd_CP', False)
    viewer.doc.addRenderer('rd_CP_des', yr.PointsRenderer(rd_CP_des, (255,0,255)))
    viewer.doc.setRendererVisible('rd_CP_des', False)
    viewer.doc.addRenderer('rd_dL_des_plane', yr.VectorsRenderer(rd_dL_des_plane, rd_CM, (255,255,0)))
    viewer.doc.setRendererVisible('rd_dL_des_plane', False)
    viewer.doc.addRenderer('rd_dH_des', yr.VectorsRenderer(rd_dH_des, rd_CM, (0,255,0)))
    viewer.doc.setRendererVisible('rd_dH_des', False)
    # 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.setRendererVisible('rd_CF', False)

    viewer.doc.addRenderer('extraForce', yr.VectorsRenderer(rd_exf_des, extraForcePos, (0,255,0)))
    viewer.doc.setRendererVisible('extraForce', False)
    # viewer.doc.addRenderer('extraForceEnable', yr.VectorsRenderer(rd_exfen_des, extraForcePos, (255,0,0)))
    viewer.doc.addRenderer('extraForceEnable', yr.WideArrowRenderer(rd_exfen_des, extraForcePos, (255,0,0), lineWidth=.05, fromPoint=False))

    # 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., 1., 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(0.4)

    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)


    ###################################
    # 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)
        refFootOriL = motionModel.getBodyOrientationGlobal(supL)
        refFootOriR = motionModel.getBodyOrientationGlobal(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
        # if 32 < frame < 147:
        #     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 jacobian
        Jsys, dJsys = controlModel.computeCom_J_dJdq()
        JsupL = Jsys[6*supL:6*supL+6, :]
        dJsupL = dJsys[6*supL:6*supL+6]
        JsupR = Jsys[6*supR:6*supR+6, :]
        dJsupR = dJsys[6*supR:6*supR+6]

        # 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 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!
        # todo that, set joint velocities to vpModel
        CM_ref_plane = footCenter
        # CM_ref_plane[1] += motionModel.getCOM()[1]
        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*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
        footBodyOriL
        L_ddq = mm.logSO3(np.dot(footBodyOriL.T, np.dot(refFootOriL, mm.getSO3FromVectors(np.dot(refFootOriL, mm.unitY()), mm.unitY()))))
        R_ddq = mm.logSO3(np.dot(footBodyOriR.T, np.dot(refFootOriR, mm.getSO3FromVectors(np.dot(refFootOriR, mm.unitY()), mm.unitY()))))
        L_q = mm.logSO3(footBodyOriL)
        R_q = mm.logSO3(footBodyOriR)
        L_ang = np.dot(footBodyOriL, footBodyAngVelL)
        R_ang = np.dot(footBodyOriR, footBodyAngVelR)
        L_dq = mm.vel2qd(L_ang, L_q)
        R_dq = mm.vel2qd(R_ang, R_q)
        a_oriL = np.dot(footBodyOriL, mm.qdd2accel(L_dq, L_dq, L_q))
        a_oriR = np.dot(footBodyOriR, mm.qdd2accel(R_dq, R_dq, R_q))

        # body_ddqs = list(map(mm.logSO3, [np.dot(contact_body_ori[i].T, np.dot(ref_body_ori[i], mm.getSO3FromVectors(np.dot(ref_body_ori[i], up_vec_in_each_link[contact_ids[i]]), mm.unitY()))) for i in range(len(contact_body_ori))]))
        # body_qs = list(map(mm.logSO3, contact_body_ori))
        # body_angs = [np.dot(contact_body_ori[i], contact_body_angvel[i]) for i in range(len(contact_body_ori))]
        # body_dqs = [mm.vel2qd(body_angs[i], body_qs[i]) for i in range(len(body_angs))]
        # a_oris = [np.dot(contact_body_ori[i], mm.qdd2accel(body_ddqs[i], body_dqs[i], body_qs[i])) for i in range(len(contact_body_ori))]
        #
        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])))

        #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*footBodyVelL, kt_sup*a_oriL-dt_sup*footBodyAngVelL)
        a_supL[1] = -kt_sup*footCenterL[1] -dt_sup*footBodyVelL[1]
        a_supR = np.append(kt_sup*(refFootR - footCenterR + contMotionOffset) - dt_sup*footBodyVelR, kt_sup*a_oriR-dt_sup*footBodyAngVelR)
        a_supR[1] = -kt_sup*footCenterR[1] -dt_sup*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)
        rs = np.dot(dP, np.dot(Jsys, dth_flat)) + np.dot(P, dJsys)
        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 and contactChangeCount == 0:
            if contact & 1:
            #if refFootR[1] < doubleTosingleOffset:
                mot.addConstraint2(problem, totalDOF, JsupR, dJsupR, dth_flat, a_supR)
            if contact & 2:
            #if refFootL[1] < doubleTosingleOffset:
                mot.addConstraint2(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)

        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)
            # print(contactForces)
            #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)
            # extraForce[0] = viewer.objectInfoWnd.labelFm.value() * 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) - 0.1 * np.array([viewer.objectInfoWnd.labelForceX.value(), 0., viewer.objectInfoWnd.labelForceZ.value()])


    viewer.setSimulateCallback(simulateCallback)

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

    Fl.run()