Esempio n. 1
0
    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)
    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)
Esempio n. 3
0
    def simulateCallback(frame):
        print "main:frame : ", 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)

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

        ############################
        #Reference motion modulation

        dCM_k = 10.
        linkVelocities = controlModel.getBodyVelocitiesGlobal()
        dCM = yrp.getCM(linkVelocities, linkMasses, totalMass)
        dCM_plane = copy.copy(dCM)
        dCM_plane[1] = 0.

        global leftHipTimer
        if viewer.objectInfoWnd.onLeftHip:
            leftHipTimer = 60
            viewer.objectInfoWnd.onLeftHip = False
        if leftHipTimer > 0:
            viewer.objectInfoWnd.comOffsetX.value(
                0.08 * 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()

        lcpBodyIDs, lcpContactPositions, lcpContactPositionLocals, lcpContactForces = hls.calcLCPForces(
            motion, vpWorld, controlModel, bodyIDsToCheck, 1., 4, None)
        # bodyIDs : IDs for Virtual Physics, not VpModel !!!
        bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(
            bodyIDsToCheck, mus, Ks, Ds)
        CP = yrp.getCP(contactPositions, contactForces)
        if (CP is not None):
            CP[1] = 0.

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

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

        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):
            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]
        #dL_des_plane[1] = 0.
        #print 'dL_des_plane', dL_des_plane

        # angular momentum
        CP_ref = footCenter + footCenterOffset
        CP_ref[1] = 0.

        timeStep = 30.
        if (CP_old[0] is None) or (CP is None):
            dCP = None
        else:
            dCP = (CP - CP_old[0]) * timeStep
        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 / timeStep) + .5 * ddCP_des * (
                (1 / timeStep)**2)
            #print 'dCP: ', dCP
            #print 'ddCP_des: ', ddCP_des
            #print 'CP_des: ', CP_des
            #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 is 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]
        elif mit.MOTION == mit.TIPTOE:
            frame_index = [1000000, 1000000]
            #frame_index = [10000, 165]
        else:
            frame_index = [1000000, 1000000]

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

        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 0:  #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)
                # using || dH ||^2 instead
                mot.addAnotherTerms(problem, totalDOF, Bh, S,
                                    -(s_bias + Kh * np.dot(S, dth_flat)))

        a_sup_2 = None
        Jsup_2 = None
        dJsup_2 = None

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

        Kk2 = Kk * 4.0
        Dk2 = 2 * (Kk2**.5)

        ankleW = 0
        ankleOffset = ankleW * curRelCMVec[2]
        metatarW = 0
        metatarOffset = metatarW * curRelCMVec[2]

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

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

        if stage != MOTION_TRACKING and frame > 5:
            # ankle strategy
            idx = 0  #LEFT/RIGHT_TOES
            if mit.FOOT_PART_NUM == 1:
                yOffset = 0.03
            else:
                yOffset = 0.069
                #yOffset = 0.06
            # ankleOffset = (footCenter - CM_plane)*4.
            ankleOffset = footCenterOffset * 10.

            ankleOffset[1] = 0.
            #ankleOffset[2] = 0.
            ankleOffset[2] = ankleOffset[2] * 20.
            ankleOffsetL = ankleOffset.copy()
            ankleOffsetR = ankleOffset.copy()

            #ankleOffset= np.array((0,0,0))

            if footCenterOffset[0] > 0.0:
                ankleOffsetL[0] = 0.
            else:
                ankleOffsetR[0] = 0.

            # print 'ankleOffset=', ankleOffset

            desLinearAccL, desPosL = getDesFootLinearAcc(
                motionModel, controlModel, indexFootL[idx], ModelOffset,
                CM_ref, CM, Kk, Dk, yOffset)  #0.076) #0.14)
            desLinearAccR, desPosR = getDesFootLinearAcc(
                motionModel, controlModel, indexFootR[idx], ModelOffset,
                CM_ref, CM, Kk, Dk, yOffset)

            ax = [0, 0, -1]
            aaa = getBodyGlobalOri(controlModel, motion, 'RightFoot')
            #print np.dot(aaa, ax)
            if mit.FOOT_PART_NUM == 1:
                ax = [0, 1, 0]

            desAngularAccL = getDesFootAngularAcc(
                motionModel, controlModel, indexFootL[idx], Kk, Dk, ax,
                mm.normalize([0, 1, 0] + ankleOffsetL))
            desAngularAccR = getDesFootAngularAcc(
                motionModel, controlModel, indexFootR[idx], Kk, Dk, ax,
                mm.normalize([0, 1, 0] + ankleOffsetR))

            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]))
            #mot.addConstraint(problem, totalDOF, Jsup_2, dJsup_2, dth_flat, a_sup_2)
            #mot.addConstraint(problem, totalDOF, Jsup_2[:1], dJsup_2[:1], dth_flat, a_sup_2[:1])
            #mot.addConstraint(problem, totalDOF, Jsup_2[2:], dJsup_2[2:], dth_flat, a_sup_2[2:])
            #mot.addConstraint(problem, totalDOF, Jsup_2[3:], dJsup_2[3:], dth_flat, a_sup_2[3:])
            mot.addAnotherTerms(problem, totalDOF,
                                viewer.objectInfoWnd.Bc.value(), Jsup_2[3:],
                                a_sup_2[3:] - np.dot(dJsup_2[3:], dth_flat))
            #mot.addAnotherTerms(problem, totalDOF, viewer.objectInfoWnd.Bc.value(), Jsup_2, a_sup_2 - np.dot(dJsup_2, dth_flat))
            #mot.addAnotherTerms(problem, totalDOF, 1.*viewer.objectInfoWnd.Bc.value(), Jsup_2[0:1], a_sup_2[0:1] - np.dot(dJsup_2[0:1] , dth_flat))
            #mot.addAnotherTerms(problem, totalDOF, 1.*viewer.objectInfoWnd.Bc.value(), Jsup_2[2:], a_sup_2[2:] - np.dot(dJsup_2[2:] , dth_flat))

            desCOMOffset = 0.0

            rd_DesPosL[0] = desPosL.copy()
            rd_DesPosR[0] = desPosR.copy()

        if stage == STATIC_BALANCING and frame > 10:  # and False:
            del rd_desPoints[:]
            # foot strategy
            #Kk2 = Kk * 2.5
            #Kk2 = Kk * .2
            #Dk2 = 2*(Kk2**.5)
            desForePosL = [0, 0, 0]
            desForePosR = [0, 0, 0]
            desRearPosL = [0, 0, 0]
            desRearPosR = [0, 0, 0]
            footPartPos = []
            footPartPos.append(
                controlModel.getBodyPositionGlobal(
                    motion[0].skeleton.getJointIndex('LeftCalcaneus_1')))
            footPartPos.append(
                controlModel.getBodyPositionGlobal(
                    motion[0].skeleton.getJointIndex('LeftPhalange_1')))
            footPartPos.append(
                controlModel.getBodyPositionGlobal(
                    motion[0].skeleton.getJointIndex('RightCalcaneus_1')))
            footPartPos.append(
                controlModel.getBodyPositionGlobal(
                    motion[0].skeleton.getJointIndex('RightPhalange_1')))

            for i in range(1, footPartNum):
                contactFlagFootL[i] = 1
                contactFlagFootR[i] = 1
            SupPts = np.vstack(
                (np.array((footPartPos[0][0], footPartPos[1][0],
                           footPartPos[2][0], footPartPos[3][0])),
                 np.array(
                     (footPartPos[0][2], footPartPos[1][2], footPartPos[2][2],
                      footPartPos[3][2])), np.array((1., 1., 1., 1.))))

            coordWidthLen = 2.
            coordLengthLen = 1.5
            SupUV = np.vstack(
                (np.array((-coordWidthLen, -coordWidthLen, coordWidthLen,
                           coordWidthLen)),
                 np.array((-coordLengthLen, coordLengthLen, -coordLengthLen,
                           coordLengthLen)), np.array((1., 1., 1., 1.))))
            SupMap = np.dot(np.dot(SupUV, SupUV.T),
                            np.linalg.inv(np.dot(SupPts, SupUV.T)))
            #print SupMap
            desFootCenter = footCenter + footCenterOffset
            footCenterPts = np.array((desFootCenter[0], desFootCenter[2], 1))

            #print np.dot(SupMap, footCenterPts)
            #print np.dot(getBodyGlobalOri(controlModel, motion, 'LeftMetatarsal_1'), np.array((0,1,0)))

            CM_plane_2D = np.array((CM[0], CM[2], 1))
            # CM_plane_UV = np.dot(SupMap, CM_plane_2D)
            CM_plane_UV = np.dot(SupMap, footCenterPts)
            # print CM_plane_UV
            # for i in range(1, footPartNum):
            if CM_plane_UV[1] > .5:
                # com is in front
                for i in range(1, 5):
                    contactFlagFootL[i] = 0
                    contactFlagFootR[i] = 0
            elif CM_plane_UV[1] < -.5:
                # com is back
                for i in range(3, footPartNum):
                    contactFlagFootL[i] = 0
                    contactFlagFootR[i] = 0
            else:
                # com is in middle position
                for i in range(3, 5):
                    contactFlagFootL[i] = 0
                    contactFlagFootR[i] = 0

            contactFlagFoot = contactFlagFootL
            if CM_plane_UV[0] < 0.:
                contactFlagFoot = contactFlagFootR
                # CM_plane_UV[0] = -CM_plane_UV[0]

            if abs(CM_plane_UV[0]) > 1.:
                for j in range(0, 3):
                    contactFlagFoot[2 * j + 2] = 0

            # print 'footL : ',contactFlagFootL
            # print 'footR : ',contactFlagFootR

            for i in range(1, footPartNum):

                axis = [0, 0, 1]
                if i == 1 or i == 2:
                    axis = [0, 0, -1]

                desAng = [0, 0, 1]
                if i == 1 or i == 2:
                    desAng = [0, 0, -1]

                desY = 0.029
                if contactFlagFootL[i] == 1:
                    desLinearAccL, desForePosL = getDesFootLinearAcc(
                        motionModel, controlModel, indexFootL[i], ModelOffset,
                        CM_ref, CM, Kk2, Dk2, desY)
                    desAngularAccL = getDesFootAngularAcc(
                        motionModel, controlModel, indexFootL[i], Kk2, Dk2,
                        axis, desAng)
                    a_sup_2 = np.hstack((desLinearAccL, desAngularAccL))
                    Jsup_2 = jFootL[i].copy()
                    dJsup_2 = dJFootL[i].copy()
                    mot.addConstraint(problem, totalDOF, Jsup_2, dJsup_2,
                                      dth_flat, a_sup_2)
                    #mot.addAnotherTerms(problem, totalDOF, viewer.objectInfoWnd.Bc.value(), Jsup_2, a_sup_2 - np.dot(dJsup_2, dth_flat))
                    #mot.addAnotherTerms(problem, totalDOF, viewer.objectInfoWnd.Bc.value(), Jsup_2[3:], a_sup_2[3:] - np.dot(dJsup_2[3:] , dth_flat))
                    rd_desPoints.append(desForePosL.copy())

                if contactFlagFootR[i] == 1:
                    desLinearAccR, desForePosR = getDesFootLinearAcc(
                        motionModel, controlModel, indexFootR[i], ModelOffset,
                        CM_ref, CM, Kk2, Dk2, desY)
                    desAngularAccR = getDesFootAngularAcc(
                        motionModel, controlModel, indexFootR[i], Kk2, Dk2,
                        axis, desAng)
                    a_sup_2 = np.hstack((desLinearAccR, desAngularAccR))
                    Jsup_2 = jFootR[i].copy()
                    dJsup_2 = dJFootR[i].copy()
                    mot.addConstraint(problem, totalDOF, Jsup_2, dJsup_2,
                                      dth_flat, a_sup_2)
                    #mot.addAnotherTerms(problem, totalDOF, viewer.objectInfoWnd.Bc.value(), Jsup_2, a_sup_2 - np.dot(dJsup_2, dth_flat))
                    #mot.addAnotherTerms(problem, totalDOF, viewer.objectInfoWnd.Bc.value(), Jsup_2[3:], a_sup_2[3:] - np.dot(dJsup_2[3:], dth_flat))
                    rd_desPoints.append(desForePosR.copy())

            rd_DesForePosL[0] = desForePosL
            rd_DesForePosR[0] = desForePosR
            rd_DesRearPosL[0] = desRearPosL
            rd_DesRearPosR[0] = desRearPosR

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

        #if Jsup_2 is not 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()
        #print frame
        #Ashape = np.shape(problem.A)
        #if len(Ashape) >0 :
        #    for i in range(0, Ashape[0]):
        #        print problem.A[i]
        #print problem.A[]
        #print problem.b
        #print r
        problem.clear()
        #print r['x']
        ype.nested(r['x'], ddth_sol)

        #print ddth_sol

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

        ###########################################
        ##Jacobian Transpose control

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

        w1 = 10  #10.1
        w2 = 1  #1#2*(w1**.5)

        if frame > 100:
            w1 = 10.1  #10.1
            w2 = 1

        footToCMVec = CM - footCenter
        desCMPos = [footCenter[0], mm.length(footToCMVec), footCenter[2]]
        #print("desCMPos", desCMPos)
        #print("CM", CM)
        fCom = w1 * (desCMPos - CM) + w2 * (-dCM)
        #print("fCom", fCom)
        #fCom[0] = 0.
        #fCom[1] = 0
        #fCom[2] = 0
        rd_virtualForce[0] = fCom.copy()

        #hipPos = controlModel.getBodyPositionGlobal(rootB)
        headPos = controlModel.getBodyPositionGlobal(selectedBody)
        hipPos = controlModel.getBodyPositionGlobal(rootB)
        yjc.computeJacobian2(Jcom, DOFs, jointPositions, jointAxeses,
                             [headPos], comUpperJointMasks)
        #yjc.computeJacobianDerivative2(dJcom, DOFs, jointPositions, jointAxeses, linkAngVelocities, [CM], comUpperJointMasks, False)
        JcomT = Jcom.T
        TauJT = np.dot(JcomT, fCom)

        # Angular Momentum
        Hc = ymt.getAngularMomentum(CM, linkInertias, linkAngVelocities,
                                    linkPositions, linkMasses, linkVelocities)
        Href = ymt.getAngularMomentum(CM_ref, linkInertias_ref,
                                      linkAngVelocities_ref, linkPositions_ref,
                                      linkMasses, linkVelocities_ref)

        Wam = .05
        Tam = Wam * (Href - Hc)
        #print("Tam", Tam)

        yjc.computeAngJacobian2(JcomAng, DOFs, jointPositions, jointAxeses,
                                [headPos], comUpperJointMasks)
        TauAM = np.dot(JcomAng.T, Tam)

        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)
            #print frame, bodyIDs, contactPositions, contactPositionLocals, contactForces
            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
            #print ddth_sol
            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 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
        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

        del rd_contactForces[:]
        del rd_contactPositions[:]
        if CP is not None:
            for i in range(len(lcpBodyIDs)):
                rd_contactForces.append(lcpContactForces[i].copy() / 200.)
                rd_contactPositions.append(lcpContactPositions[i].copy())

        timeReport[6] += time.time() - curTime
Esempio n. 4
0
    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)