def drawArrow(self, startPos, endPos, vector=None, lineWidth=.02):
        if vector == None:
            vector = [endPos[i] - startPos[i] for i in range(3)]
        elif startPos == None:
            startPos = [endPos[i] - vector[i] for i in range(3)]

        length = mm.length(vector)
        if length == 0.: return

        glPushMatrix()

        arrowT = mm.Rp2T(mm.getSO3FromVectors((length, 0, 0), vector),
                         startPos)
        glMultMatrixf(arrowT.transpose())

        triWidth = lineWidth * 3
        triLength = triWidth * 1.2

        # line + cone all parts
        glePolyCone(
            ((0, 0, 0), (0, 0, 0), (length - triLength, 0, 0),
             (length - triLength, 0, 0), (length, 0, 0), (length, 0, 0)), None,
            (lineWidth / 2., lineWidth / 2., lineWidth / 2., triWidth / 2., 0,
             0))

        glPopMatrix()
Пример #2
0
def getSpringLengthsFromMesh(mesh, springConfigs):
    springLengths = [None] * len(springConfigs)
    for i in range(len(springConfigs)):
        springLengths[i] = mm.length(
            mesh.getVertexPosition(springConfigs[i].particleIndex0) -
            mesh.getVertexPosition(springConfigs[i].particleIndex1))
    return springLengths
Пример #3
0
 def solve(self, inoutPosture, targetPositions):
     iterNum = 0
     positionDiff = 0.
     
     while True:
         currentPositions = [inoutPosture.getPosition(self.effectorIndices[0])]
         axes = self.calcJacobian(inoutPosture, currentPositions, targetPositions)
         forceVec = targetPositions[0] - currentPositions[0]
         # dt = J * dtheta
         # Jt * dt = Jt * J * dtheta
         # (Jt * J)^-1 * Jt * dt = dtheta
         #deltaThetas = np.dot(np.dot(np.linalg.inv(np.dot(np.transpose(self.jacobian),self.jacobian)),np.transpose(self.jacobian)), forceVec)*.1
         # moore-penrose pseudo inverse
         deltaThetas = np.dot(np.linalg.pinv(self.jacobian), forceVec)*.1
         self.applyThetas(deltaThetas, axes, inoutPosture)
        
         iterNum += 1
         print(iterNum)
         if iterNum > self.iterationLimit:
             print('iter')
             break;
         
         positionDiff = 0.
         for i in range(len(targetPositions)):
             positionDiff += mm.length(targetPositions[i] - inoutPosture.getPosition( self.effectorIndices[i]) )
         if positionDiff < self.positionThreshold:
             print('converge', iterNum)
             break;
def distanceByRelPos2(jointPosture0, jointPosture1):
    distance = 0.
    rootPos0 = jointPosture0.rootPos
    rootPos1 = jointPosture1.rootPos
    for i in range(jointPosture0.skeleton.getJointNum()):
        relPos0 = jointPosture0.getJointPositionGlobal(i) - rootPos0
        relPos1 = jointPosture1.getJointPositionGlobal(i) - rootPos1
        distance += mmMath.length(relPos0 - relPos1)
    return distance
def distanceByRelPos(jointPosture0, jointPosture1):
    distance = 0.
    rootPos0 = jointPosture0.getPosition(jointPosture0.skeleton.rootIndex)
    rootPos1 = jointPosture1.getPosition(jointPosture1.skeleton.rootIndex)
    for i in range(jointPosture0.skeleton.getElementNum()):
        relPos0 = jointPosture0.getPosition(i) - rootPos0
        relPos1 = jointPosture1.getPosition(i) - rootPos1
        distance += mmMath.length(relPos0 - relPos1)
    return distance
Пример #6
0
def distanceByRelPos2(jointPosture0, jointPosture1):
    distance = 0.
    rootPos0 = jointPosture0.rootPos
    rootPos1 = jointPosture1.rootPos
    for i in range(jointPosture0.skeleton.getJointNum()):
        relPos0 = jointPosture0.getJointPositionGlobal(i) - rootPos0
        relPos1 = jointPosture1.getJointPositionGlobal(i) - rootPos1
        distance += mmMath.length(relPos0 - relPos1)
    return distance
Пример #7
0
        def calcPDTorque(Rpd, Rcd, Rpc, Rcc, Wpc, Wcc, Kp, Kd, joint):
            Rpc = mm.odeSO3ToSO3(Rpc)
            Rcc = mm.odeSO3ToSO3(Rcc)

            Ra = numpy.dot(Rpc, Rpd.transpose())
            Rcd = numpy.dot(Ra, Rcd)

            dR = mm.logSO3(numpy.dot(Rcd, Rcc.transpose()))
            dW = numpy.array(
                [-Wpc[0] + Wcc[0], -Wpc[1] + Wcc[1], -Wpc[2] + Wcc[2]])

            #        joint.setAxis(0,0,dR)
            #        joint.setAxis(1,0,dW)
            joint.setAxis(0, 0, dR - dW)

            #        joint.addTorques(-Kp*mm.length(dR),0,0)
            #        joint.addTorques(0,Kd*mm.length(dW),0)
            joint.addTorques(-Kp * mm.length(dR) - Kd * mm.length(dW), 0, 0)
Пример #8
0
def distanceByRelPos(jointPosture0, jointPosture1):
    distance = 0.
    rootPos0 = jointPosture0.getPosition(jointPosture0.skeleton.rootIndex)
    rootPos1 = jointPosture1.getPosition(jointPosture1.skeleton.rootIndex)
    for i in range(jointPosture0.skeleton.getElementNum()):
        relPos0 = jointPosture0.getPosition(i) - rootPos0
        relPos1 = jointPosture1.getPosition(i) - rootPos1
        distance += mmMath.length(relPos0 - relPos1)
    return distance
Пример #9
0
def mergePoints(mesh, distance = 0.0):
    len_vertices = len(mesh.vertices)
    
    mergeMap = {}
    for fromIndex in range(len_vertices):
        for toIndex in range(fromIndex+1, len_vertices):
            length = mmMath.length(mesh.vertices[fromIndex].pos - mesh.vertices[toIndex].pos)
            if length <= distance:
                mergeMap[fromIndex] = toIndex
#    print mergeMap

    transitions = [i for i in range(len_vertices)]
#    print transitions

    for i in range(len_vertices-1,-1,-1):
#        print i
        if i in mergeMap:
            toBeMerged = i
#            print 'toBeMerged', toBeMerged
            for j in range(toBeMerged+1, len_vertices):
                transitions[j] -= 1
            for key, targetIndex in mergeMap.items():
                if targetIndex >= toBeMerged:
#                    print key, ':', mergeMap[key], '->', mergeMap[key]-1  
                    mergeMap[key] -= 1
                    
#    print transitions
#    print mergeMap

    for toBeMerged in mergeMap:
        transitions[toBeMerged] = mergeMap[toBeMerged]
#    print transitions
    
    # reorder vertex list
    old_vertices = mesh.vertices
    mesh.vertices = [None]*(len_vertices - len(mergeMap))
    for i in range(len(old_vertices)):
        mesh.vertices[transitions[i]] = old_vertices[i]

    # update face
    for f in mesh.faces:
        for j in range(len(f.vertexIndex)):
            f.vertexIndex[j] = transitions[f.vertexIndex[j]]
    for f in mesh.faces[:]:
        for i in range(len(f.vertexIndex)):
            for j in range(i+1, len(f.vertexIndex)):
                if f.vertexIndex[i] == f.vertexIndex[j]:
                    mesh.faces.remove(f)
            
    if(isinstance(mesh, yms.SkinMesh)):
        # reorder bone weight list
        old_vertexBoneWeights = mesh.vertexBoneWeights
        mesh.vertexBoneWeights = [None]*(len_vertices - len(mergeMap))
        for i in range(len(old_vertexBoneWeights)):
            mesh.vertexBoneWeights[transitions[i]] = old_vertexBoneWeights[i]
        mesh.initialize(mesh.initialPosture)
Пример #10
0
def getElementContactStates(motion, element_name_or_index, hRef, vRef):
    if isinstance(element_name_or_index, int): index = element_name_or_index
    else: index = motion[0].skeleton.getElementIndex(element_name_or_index)

    contactStates = [None] * len(motion)
    for i in range(len(motion)):
        pos = motion.getPosition(index, i)
        vel = motion.getVelocity(index, i)
        if pos[1] < hRef and mmMath.length(vel) < vRef:
            contactStates[i] = True
        else:
            contactStates[i] = False

    return contactStates
def getElementContactStates(motion, element_name_or_index, hRef, vRef):
    if isinstance(element_name_or_index, int): index = element_name_or_index
    else: index = motion[0].skeleton.getElementIndex(element_name_or_index)
    
    contactStates = [None]*len(motion)
    for i in range(len(motion)):
        pos = motion.getPosition(index, i)
        vel = motion.getVelocity(index, i)
        if pos[1] < hRef and mmMath.length(vel) < vRef:
            contactStates[i] = True
        else:
            contactStates[i] = False
            
    return contactStates
Пример #12
0
    def drawCircularArrow(self,
                          startPos,
                          endPos,
                          rotVec=None,
                          lineWidth=.02,
                          radius=.1):
        if rotVec is None:
            rotVec = [endPos[i] - startPos[i] for i in range(3)]
        elif startPos is None:
            startPos = [endPos[i] - rotVec[i] for i in range(3)]

        length = mm.length(rotVec)
        if length == 0.: return

        glPushMatrix()

        axisT = mm.r_p_to_t(mm.getSO3FromVectors((0, 0, length), rotVec),
                            startPos)
        glMultMatrixf(axisT.transpose())

        triWidth = lineWidth * 3
        triLength = triWidth * 1.2

        # axis
        #        self.drawLine((0,0,0), (0,0,length))
        glePolyCylinder(((0, 0, 0), (0, 0, 0), (0, 0, length), (0, 0, length)),
                        None, lineWidth / 4.)

        # circular line part
        #        gleHelicoid( rToroid , startRadius , drdTheta , startZ , dzdTheta ,
        #                     startXform , dXformdTheta , startTheta , sweepTheta )
        sweepTheta = 2 * math.pi * length * mm.DEG
        gleHelicoid(lineWidth / 2., radius, 0., 0., radius, None, None, 0.,
                    sweepTheta)

        # cone part
        glPushMatrix()
        glRotatef(sweepTheta, 0, 0, 1)
        glTranslatef(radius, 0, radius * (sweepTheta / 360.))
        glRotatef(-90, 1, 0, 0)
        glePolyCone(
            ((0, 0, 0), (0, 0, 0), (0, 0, triLength), (0, 0, triLength)), None,
            (triWidth / 2., triWidth / 2., 0, 0))
        glPopMatrix()

        glPopMatrix()
    def draw2DArrow(self, startPos, endPos, vector=None, lineWidth=.02):
        if vector == None:
            vector = [endPos[i] - startPos[i] for i in range(3)]
        elif startPos == None:
            startPos = [endPos[i] - vector[i] for i in range(3)]


#        glPolygonMode(GL_FRONT_AND_BACK, GL_FILL)

        glDisable(GL_CULL_FACE)
        glPushMatrix()

        length = mm.length(vector)
        arrowT = mm.Rp2T(mm.getSO3FromVectors((length, 0, 0), vector),
                         startPos)
        glMultMatrixf(arrowT.transpose())

        triWidth = lineWidth * 3
        triLength = triWidth * 1.2

        angles = [0, 90]
        for angle in angles:
            glRotatef(angle, 1, 0, 0)

            # line part
            glBegin(GL_QUADS)
            glVertex3f(0, 0, lineWidth / 2)
            glVertex3f(0, 0, -lineWidth / 2)
            glVertex3f(length - triLength, 0, -lineWidth / 2)
            glVertex3f(length - triLength, 0, +lineWidth / 2)
            glEnd()

            # triangle part
            glBegin(GL_TRIANGLES)
            glVertex3f(length - triLength, 0, triWidth / 2)
            glVertex3f(length - triLength, 0, -triWidth / 2)
            glVertex3f(length, 0, 0)
            glEnd()

        glPopMatrix()
        glEnable(GL_CULL_FACE)
Пример #14
0
 def solve(self, inoutPosture, targetPositions):
     iterNum = 0
     positionDiff = 0.
     
     while True:
         currentPositions = [inoutPosture.getPosition(self.effectorIndices[0])]
         axes = self.calcJacobian(inoutPosture, currentPositions, targetPositions)
         forceVec = targetPositions[0] - currentPositions[0]
         deltaThetas = np.dot(np.transpose(self.jacobian), forceVec)*.1
         self.applyThetas(deltaThetas, axes, inoutPosture)
         
         iterNum += 1
         if iterNum > self.iterationLimit:
             print 'iter'
             break;
         
         positionDiff = 0.
         for i in range(len(targetPositions)):
             positionDiff += mm.length(targetPositions[i] - inoutPosture.getPosition( self.effectorIndices[i]) )
         if positionDiff < self.positionThreshold:
             print 'converge'
             break;
Пример #15
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
Пример #16
0
def main():

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

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

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

    footPartNum = config['FootPartNum']

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

        springBody1 = 5
        springBody2 = 6
        springBody1Pos = motionModel.getBodyPositionGlobal(
            motion[0].skeleton.getJointIndex(config['FootLPart'][springBody1]))
        springBody2Pos = motionModel.getBodyPositionGlobal(
            motion[0].skeleton.getJointIndex(config['FootLPart'][springBody2]))

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

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

    vpWorld.initialize()
    controlModel.initializeHybridDynamics()

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    #print(comUpperJointMasks)

    comLowerJointMasks = [
        yjc.getLinksJointMask(motion[0].skeleton, [
            motion[0].skeleton.getJointIndex('LeftLeg'),
            motion[0].skeleton.getJointIndex('RightLeg')
        ])
    ]
    '''
    maskArray = [foreSupLJointMasks, foreSupRJointMasks, rearSupLJointMasks, rearSupRJointMasks]
    parentArray = [supL, supR, supL, supR]
    effectorArray = [foreSupL, foreSupR, rearSupL, rearSupR]
    for j in range(4) :
        for i in range(len(foreSupLJointMasks)) :
            if i == parentArray[j] or i == effectorArray[j] :
                maskArray[j][0][i] = 1
            else :
                maskArray[j][0][i] = 0
    '''

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

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

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

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

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

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

    rd_root = [None]

    rd_footL_vec = [None]
    rd_footR_vec = [None]

    rd_CMP = [None]

    rd_DesPosL = [None]
    rd_DesPosR = [None]

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

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

    rd_contactForces = [None]
    rd_contactPositions = [None]

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

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

    normalVector = [[0, 2, 0]]

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

    else:
        viewer = ysv.SimpleViewer()
        #    viewer.record(False)
        #    viewer.doc.addRenderer('motion', yr.JointMotionRenderer(motion, (0,255,255), yr.LINK_BONE))
        viewer.doc.addObject('motion', motion)
        viewer.doc.addRenderer(
            'motionModel',
            cvr.VpModelRenderer(motionModel, (100, 100, 100),
                                yr.POLYGON_FILL))  #(150,150,255)
        viewer.doc.addRenderer(
            'controlModel',
            cvr.VpModelRenderer(controlModel, CHARACTER_COLOR,
                                yr.POLYGON_FILL))
        #viewer.doc.addRenderer('controlModel', cvr.VpModelRenderer(controlModel, CHARACTER_COLOR, yr.POLYGON_LINE))
        #viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
        #viewer.doc.addRenderer('rd_footCenter_des', yr.PointsRenderer(rd_footCenter_des, (150,0,150))    )
        #viewer.doc.addRenderer('rd_footCenterL', yr.PointsRenderer(rd_footCenterL))
        #viewer.doc.addRenderer('rd_footCenterR', yr.PointsRenderer(rd_footCenterR))
        viewer.doc.addRenderer('rd_CM_plane',
                               yr.PointsRenderer(rd_CM_plane, (255, 255, 0)))
        viewer.doc.addRenderer('rd_CM',
                               yr.PointsRenderer(rd_CM, (255, 0, 255)))
        viewer.doc.addRenderer('rd_CM_des',
                               yr.PointsRenderer(rd_CM_des, (64, 64, 255)))
        viewer.doc.addRenderer(
            'rd_CM_vec',
            yr.VectorsRenderer(rd_CM_vec, rd_CM_plane, (255, 0, 0), 3))
        #viewer.doc.addRenderer('rd_CP_des', yr.PointsRenderer(rd_CP_des, (0,255,0)))
        viewer.doc.addRenderer('rd_CP_des',
                               yr.PointsRenderer(rd_CP_des, (255, 0, 128)))
        #    viewer.doc.addRenderer('rd_dL_des_plane', yr.VectorsRenderer(rd_dL_des_plane, rd_CM, (255,255,0)))
        #    viewer.doc.addRenderer('rd_dH_des', yr.VectorsRenderer(rd_dH_des, rd_CM, (0,255,0)))
        #viewer.doc.addRenderer('rd_grf_des', yr.ForcesRenderer(rd_grf_des, rd_CP, (0,255,255), .001))

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

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

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

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

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

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

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

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

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

        viewer.doc.addRenderer(
            'rd_contactForces',
            yr.VectorsRenderer(rd_contactForces, rd_contactPositions,
                               (0, 255, 0), .1))

        #viewer.doc.addRenderer('rd_virtualForce', yr.ForcesRenderer(rd_virtualForce, rd_CM, (50,255,0), 0.5, 0.02))

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

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

    stage = STATIC_BALANCING

    contactRendererName = []

    #for i in range (motion[0].skeleton.getJointNum()):
    #    print(i, motion[0].skeleton.getJointName(i))
    print "(index, id, name)"
    for i in range(controlModel.getBodyNum()):
        print(i, controlModel.index2id(i), controlModel.index2name(i))

    desCOMOffset = 0.0

    pt = [0.]

    timeReport = [0.] * 7

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

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

    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
        # print timeReport

    viewer.setSimulateCallback(simulateCallback)

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

    Fl.run()
def ik_analytic(posture, joint_name_or_index, new_position):
    if isinstance(joint_name_or_index, int):
        joint = joint_name_or_index
    else:
        joint = posture.skeleton.getJointIndex(joint_name_or_index)
    
#    joint_parent = posture.body.joint_parent[joint]
#    joint_parent_parent = posture.body.joint_parent[joint_parent]
    joint_parent = posture.skeleton.getParentJointIndex(joint)
    joint_parent_parent = posture.skeleton.getParentJointIndex(joint_parent)

#    B = posture.get_position(joint)
#    C = posture.get_position(joint_parent)
#    A = posture.get_position(joint_parent_parent)
    B = posture.getJointPositionGlobal(joint)
    C = posture.getJointPositionGlobal(joint_parent)
    A = posture.getJointPositionGlobal(joint_parent_parent)

    L = B - A
    N = B - C
    M = C - A

#    l = mathlib.length(L);
#    n = mathlib.length(N);
#    m = mathlib.length(M);
    l = mm.length(L);
    n = mm.length(N);
    m = mm.length(M);

#    a = mathlib.ACOS((l*l + n*n - m*m) / (2*l*n))
#    b = mathlib.ACOS((l*l + m*m - n*n) / (2*l*m))
    a = mm.ACOS((l*l + n*n - m*m) / (2*l*n))
    b = mm.ACOS((l*l + m*m - n*n) / (2*l*m))

    B_new = new_position;
    L_new = B_new - A;

#    l_ = mathlib.length(L_new)
    l_ = mm.length(L_new)

#    a_ = mathlib.ACOS((l_*l_ + n*n - m*m) / (2*l_*n))
#    b_ = mathlib.ACOS((l_*l_ + m*m - n*n) / (2*l_*m))
    a_ = mm.ACOS((l_*l_ + n*n - m*m) / (2*l_*n))
    b_ = mm.ACOS((l_*l_ + m*m - n*n) / (2*l_*m))

    # rotate joint in plane 
#    rotV = mathlib.normalize(numpy.cross(M, L))
    rotV = mm.normalize2(np.cross(M, L))
    rotb = b - b_;
    rota = a_ - a - rotb;
#    posture.rotate_global_orientation(joint_parent_parent, mathlib.exp(rotV, rotb))
#    posture.rotate_global_orientation(joint_parent, mathlib.exp(rotV * rota))
    posture.mulJointOrientationGlobal(joint_parent_parent, mm.exp(rotV, rotb))
    posture.mulJointOrientationGlobal(joint_parent, mm.exp(rotV * rota))

    # rotate plane
#    rotV2 = mathlib.normalize(numpy.cross(L, L_new))
#    l_new = mathlib.length(L_new)
#    l_diff = mathlib.length(L_new - L)
#    rot2 = mathlib.ACOS((l_new * l_new + l * l - l_diff * l_diff) / (2 * l_new * l))
#    posture.rotate_global_orientation(joint_parent_parent, mathlib.exp(rotV2, rot2))
    rotV2 = mm.normalize2(np.cross(L, L_new))
    l_new = mm.length(L_new)
    l_diff = mm.length(L_new - L)
    rot2 = mm.ACOS((l_new * l_new + l * l - l_diff * l_diff) / (2 * l_new * l))
    posture.mulJointOrientationGlobal(joint_parent_parent, mm.exp(rotV2, rot2))

    return posture
Пример #18
0
    def _calcPDTorqueJoint(self, joint, parentR, posture, torques):
        #        R = numpy.dot(parentR, posture.localRMap[joint.name])
        R = numpy.dot(
            parentR,
            posture.localRs[posture.skeleton.getElementIndex(joint.name)])

        #        if joint.name in self.nodes and joint.parent:
        temp_joint = joint
        nodeExistParentJoint = None
        while True:
            if temp_joint.parent == None:
                nodeExistParentJoint = None
                break
            elif temp_joint.parent.name in self.nodes:
                nodeExistParentJoint = temp_joint.parent
                break
            else:
                # Gp' * Lc' = Gc' (= Gp)
                # Gp' = Gp * inv(Lc')
                parentR = numpy.dot(
                    parentR,
                    numpy.transpose(
                        posture.localRs[posture.skeleton.getElementIndex(
                            temp_joint.parent.name)]))
                temp_joint = temp_joint.parent

        if joint.name in self.nodes and nodeExistParentJoint:
            node = self.nodes[joint.name]
            ode_joint = node.joint

            if isinstance(ode_joint, ode.FixedJoint) == False:
                #                Rpd = numpy.dot(parentR, self.boneRs[joint.parent.name])    # parent_desired_SO3
                Rpd = numpy.dot(parentR, self.boneRs[
                    nodeExistParentJoint.name])  # parent_desired_SO3
                Rcd = numpy.dot(R,
                                self.boneRs[joint.name])  # child_desired_SO3
                #                Rpd = mm.I_SO3()
                #                Rcd = mm.I_SO3()

                #                if posture not in self.Rpds:
                #                    self.Rpds[posture] = {}
                #                    if ode_joint not in self.Rpds[posture]:
                #                        Rpd = numpy.dot(parentR, self.boneRs[joint.parent.name])    # parent_desired_SO3
                #                        self.Rpds[posture][ode_joint] = Rpd
                #                else:
                #                    Rpd = self.Rpds[posture][ode_joint]
                #
                #                if posture not in self.Rpcs:
                #                    self.Rpcs[posture] = {}
                #                    if ode_joint not in self.Rpcs[posture]:
                #                        Rcd = numpy.dot(R, self.boneRs[joint.name])   # child_desired_SO3
                #                        self.Rpcs[posture][ode_joint] = Rcd
                #                else:
                #                    Rcd = self.Rpcs[posture][ode_joint]

                parent = ode_joint.getBody(0)
                child = ode_joint.getBody(1)

                Rpc = mm.odeSO3ToSO3(
                    parent.getRotation())  # parent_current_SO3
                Rcc = mm.odeSO3ToSO3(child.getRotation())  # child_current_SO3

            if isinstance(ode_joint, ode.BallJoint):
                Ra = numpy.dot(Rpc, Rpd.transpose())  # align_SO3
                Rcd2 = numpy.dot(Ra, Rcd)

                #                dR = -mm.logSO3_tuple(numpy.dot(Rcd2, Rcc.transpose())) # diff_rot
                dR = mm.logSO3(numpy.dot(Rcd2, Rcc.transpose()))  # diff_rot

                Wpc = parent.getAngularVel()
                Wcc = child.getAngularVel()
                rW = (-Wpc[0] + Wcc[0], -Wpc[1] + Wcc[1], -Wpc[2] + Wcc[2])
                #                rW = numpy.array([-Wpc[0]+Wcc[0], -Wpc[1]+Wcc[1], -Wpc[2]+Wcc[2]])

                ode_motor = node.motor
                ode_motor.setAxis(0, 0, -dR)
                ode_motor.setAxis(1, 0, rW)
                #                ode_motor.setAxis(0, 0, dR+dW)

                torques[joint.name] = (node.Kp * (mm.length(dR)),
                                       node.Kd * (mm.length(rW)))
#                torques[joint.name] = node.Kp*(mm.length(dR)) + node.Kd*(mm.length(dW))

            elif isinstance(ode_joint, ode.HingeJoint):
                desiredAngle = mm.logSO3(numpy.dot(Rcd, Rpd.transpose()))
                currentAngle = mm.logSO3(numpy.dot(Rcc, Rpc.transpose()))
                #                desiredAngle = mm.logSO3_old(numpy.dot(Rcd, Rpd.transpose()))
                #                currentAngle = mm.logSO3_old(numpy.dot(Rcc, Rpc.transpose()))

                jointAxis = ode_joint.getAxis()
                desiredScala = numpy.inner(jointAxis, desiredAngle)
                currentScala = numpy.inner(jointAxis, currentAngle)

                #                diffAngle = currentScala - desiredScala
                diffAngle = mm.diffAngle(currentScala, desiredScala)

                #                print 'c:', mm.rad2Deg(currentScala), 'd:', mm.rad2Deg(desiredScala)
                #                print 'diff:', mm.rad2Deg(diffAngle)
                #                if currentScala * desiredScala < 0:
                #                    diffAngle2 = currentScala - (math.pi*2 - desiredScala)
                ##                    diffAngle2 = 2*math.pi - diffAngle
                ##                    diffAngle2 = diffAngle - 2*math.pi
                ##                    print 'chdiff:', mm.rad2Deg(diffAngle), '->', mm.rad2Deg(diffAngle2)
                #                    diffAngle = diffAngle2
                #                else:
                #                    diffAngle = currentScala - desiredScala
                #                    print 'diff:', mm.rad2Deg(diffAngle)

                angleRate = ode_joint.getAngleRate()

                torques[joint.name] = (node.Kp * (diffAngle),
                                       node.Kd * (angleRate))

            elif isinstance(ode_joint, ode.UniversalJoint):
                desiredAngle = mm.logSO3(numpy.dot(Rcd, Rpd.transpose()))
                currentAngle = mm.logSO3(numpy.dot(Rcc, Rpc.transpose()))

                jointAxis1 = ode_joint.getAxis1()
                desiredScala1 = numpy.inner(jointAxis1, desiredAngle)
                currentScala1 = numpy.inner(jointAxis1, currentAngle)

                jointAxis2 = ode_joint.getAxis2()
                desiredScala2 = numpy.inner(jointAxis2, desiredAngle)
                currentScala2 = numpy.inner(jointAxis2, currentAngle)

                diffAngle1 = mm.diffAngle(currentScala1, desiredScala1)
                diffAngle2 = mm.diffAngle(currentScala2, desiredScala2)

                Wpc = parent.getAngularVel()
                Wcc = child.getAngularVel()
                rW = (-Wpc[0] + Wcc[0], -Wpc[1] + Wcc[1], -Wpc[2] + Wcc[2])

                angleRate1 = -numpy.inner(jointAxis1, rW)
                angleRate2 = -numpy.inner(jointAxis2, rW)

                torques[joint.name] = ((node.Kp * (diffAngle1),
                                        node.Kd * (angleRate1)),
                                       (node.Kp * (diffAngle2),
                                        node.Kd * (angleRate2)))

            elif isinstance(ode_joint, ode.FixedJoint):
                pass

#            print joint.name
#            print self.boneRs
#            print Rpd
#            print Rcd
#            print Rpc
#            print Rcc
#            print dR
#            print dW

        for childJoint in joint.children:
            self._calcPDTorqueJoint(childJoint, R, posture, torques)
Пример #19
0
     CM_vels = [None]*len(intervals)
     stepLengths = [None]*len(intervals)
     stepDurations = [None]*len(intervals)
 
     print('                              CM vel    step length    step duration')
     for i in range(len(intervals)):
         startFrame = intervals[i][0]
         endFrame = intervals[i][1]
         
         stepDurations[i] = (endFrame - startFrame) * 1/30.
 
         motionModel.update(motion[startFrame])
         CM0 = yrp.getCM(motionModel.getBodyPositionsGlobal(), bodyMasses, totalMass)
         motionModel.update(motion[endFrame])
         CM1 = yrp.getCM(motionModel.getBodyPositionsGlobal(), bodyMasses, totalMass)
         CM_vels[i] = mm.length((CM1 - CM0) / stepDurations[i])
 
         lSwingLength = mm.length(motion[endFrame].getJointPositionGlobal(lFoot) - motion[startFrame].getJointPositionGlobal(lFoot))
         rSwingLength = mm.length(motion[endFrame].getJointPositionGlobal(rFoot) - motion[startFrame].getJointPositionGlobal(rFoot))
         stepLengths[i] = max([lSwingLength, rSwingLength])
         
         if STEP_INFO:
             print('%2dth'%i, '%-6s'%yba.GaitState.text[states[i]], '%-10s'%intervals[i], '%2d'%(endFrame-startFrame), '%10.2f %10.2f %10.2f'%(CM_vels[i], stepLengths[i], stepDurations[i]))
 
     startSeg = 1
     endSeg = len(intervals)-2
     mean_CM_vel = sum(CM_vels[startSeg:endSeg+1]) / (endSeg - startSeg + 1)
     mean_stepLength = sum(stepLengths[startSeg:endSeg+1]) / (endSeg - startSeg + 1)
     mean_stepDuration = sum(stepDurations[startSeg:endSeg+1]) / (endSeg - startSeg + 1)
     print('mean (%dth~%dth)         %10.2f %10.2f %10.2f'%(startSeg, endSeg, mean_CM_vel, mean_stepLength, mean_stepDuration))
     print()
Пример #20
0
    def simulateCallback(frame):
        # seginfo
        segIndex = seg_index[0]
        curState = seginfo[segIndex]['state']
        curInterval = yma.offsetInterval(acc_offset[0], seginfo[segIndex]['interval'])
        stanceLegs = seginfo[segIndex]['stanceHips']
        swingLegs = seginfo[segIndex]['swingHips']
        stanceFoots = seginfo[segIndex]['stanceFoots']
        swingFoots = seginfo[segIndex]['swingFoots']
        swingKnees = seginfo[segIndex]['swingKnees']
        groundHeight = seginfo[segIndex]['ground_height']
#        maxStfPushFrame = seginfo[segIndex]['max_stf_push_frame']
        
        prev_frame = frame-1 if frame>0 else 0
#        prev_frame = frame
        
        # information
#        dCM_tar = yrp.getCM(motion_seg.getJointVelocitiesGlobal(frame), bodyMasses, upperMass, uppers)
#        CM_tar = yrp.getCM(motion_seg.getJointPositionsGlobal(frame), bodyMasses, upperMass, uppers)
##        dCM_tar = yrp.getCM(motion_seg.getJointVelocitiesGlobal(frame), bodyMasses, totalMass)
##        CM_tar = yrp.getCM(motion_seg.getJointPositionsGlobal(frame), bodyMasses, totalMass)
#        stf_tar = motion_seg.getJointPositionGlobal(stanceFoots[0], frame)
#        CMr_tar = CM_tar - stf_tar

        dCM_tar = motion_seg.getJointVelocityGlobal(0, prev_frame)
        CM_tar = motion_seg.getJointPositionGlobal(0, prev_frame)
#        dCM_tar = yrp.getCM(motion_seg.getJointVelocitiesGlobal(prev_frame), bodyMasses, upperMass, uppers)
#        CM_tar = yrp.getCM(motion_seg.getJointPositionsGlobal(prev_frame), bodyMasses, upperMass, uppers)
#        dCM_tar = yrp.getCM(motion_seg.getJointVelocitiesGlobal(prev_frame), bodyMasses, totalMass)
#        CM_tar = yrp.getCM(motion_seg.getJointPositionsGlobal(prev_frame), bodyMasses, totalMass)
        stf_tar = motion_seg.getJointPositionGlobal(stanceFoots[0], prev_frame)
        CMr_tar = CM_tar - stf_tar
            
        dCM = avg_dCM[0]
        CM = controlModel.getJointPositionGlobal(0)
#        CM = yrp.getCM(controlModel.getJointPositionsGlobal(), bodyMasses, upperMass, uppers)
#        CM = yrp.getCM(controlModel.getJointPositionsGlobal(), bodyMasses, totalMass)
        CMreal = yrp.getCM(controlModel.getJointPositionsGlobal(), bodyMasses, totalMass)
        stf = controlModel.getJointPositionGlobal(stanceFoots[0])
        CMr = CM - stf
        
        diff_dCM = mm.projectionOnPlane(dCM-dCM_tar, (1,0,0), (0,0,1))
        diff_dCM_axis = np.cross((0,1,0), diff_dCM)
        rd_vec1[0] = diff_dCM; rd_vecori1[0] = CM_tar
        
        diff_CMr = mm.projectionOnPlane(CMr-CMr_tar, (1,0,0), (0,0,1))
#        rd_vec1[0] = diff_CMr; rd_vecori1[0] = stf_tar
        diff_CMr_axis = np.cross((0,1,0), diff_CMr)
        
        direction = mm.normalize2(mm.projectionOnPlane(dCM_tar, (1,0,0), (0,0,1)))
#        direction = mm.normalize2(mm.projectionOnPlane(dCM, (1,0,0), (0,0,1)))
        directionAxis = np.cross((0,1,0), direction)
        
        diff_dCM_sag, diff_dCM_cor = mm.projectionOnVector2(diff_dCM, direction)
#        rd_vec1[0] = diff_dCM_sag; rd_vecori1[0] = CM_tar
        diff_dCM_sag_axis = np.cross((0,1,0), diff_dCM_sag)
        diff_dCM_cor_axis = np.cross((0,1,0), diff_dCM_cor)
            
        diff_CMr_sag, diff_CMr_cor = mm.projectionOnVector2(diff_CMr, direction)
        diff_CMr_sag_axis = np.cross((0,1,0), diff_CMr_sag)
        diff_CMr_cor_axis = np.cross((0,1,0), diff_CMr_cor)
            
        t = (frame-curInterval[0])/float(curInterval[1]-curInterval[0])
        t_raw = t
        if t>1.: t=1.
        
        
        p_root = motion_stitch[frame].getJointPositionGlobal(0)
        R_root = motion_stitch[frame].getJointOrientationGlobal(0)

        motion_seg_orig.goToFrame(frame)
        motion_seg.goToFrame(frame)
        motion_stitch.goToFrame(frame)
        
        motion_debug1.append(motion_stitch[frame].copy())
        motion_debug1.goToFrame(frame)
        motion_debug2.append(motion_stitch[frame].copy())
        motion_debug2.goToFrame(frame)
        motion_debug3.append(motion_stitch[frame].copy())
        motion_debug3.goToFrame(frame)
        
        # paper implementation
        M_tc.append(motion_stitch[prev_frame])
        M_tc.goToFrame(frame)
        P_hat.append(M_tc[frame].copy())
        P_hat.goToFrame(frame)
        
        p_temp = ym.JointPosture(skeleton)
        p_temp.rootPos = controlModel.getJointPositionGlobal(0)
        p_temp.setJointOrientationsLocal(controlModel.getJointOrientationsLocal())
        P.append(p_temp)
        P.goToFrame(frame)
        
        # stance foot stabilize
        motion_stf_stabilize.append(motion_stitch[frame].copy())
        motion_stf_stabilize.goToFrame(frame)
        if STANCE_FOOT_STABILIZE:
            for stanceFoot in stanceFoots:
                R_target_foot = motion_seg[frame].getJointOrientationGlobal(stanceFoot)
                R_current_foot = motion_stf_stabilize[frame].getJointOrientationGlobal(stanceFoot)
                motion_stf_stabilize[frame].setJointOrientationGlobal(stanceFoot, cm.slerp(R_current_foot, R_target_foot , stf_stabilize_func(t)))
#                R_target_foot = motion_seg[frame].getJointOrientationLocal(stanceFoot)
#                R_current_foot = motion_stf_stabilize[frame].getJointOrientationLocal(stanceFoot)
#                motion_stf_stabilize[frame].setJointOrientationLocal(stanceFoot, cm.slerp(R_current_foot, R_target_foot , stf_stabilize_func(t)))

        # match stance leg 
        motion_match_stl.append(motion_stf_stabilize[frame].copy())
        motion_match_stl.goToFrame(frame)
        if MATCH_STANCE_LEG:
            if curState!=yba.GaitState.STOP:
                for i in range(len(stanceLegs)):
                    stanceLeg = stanceLegs[i]
                    stanceFoot = stanceFoots[i]
                    
#                    # motion stance leg -> character stance leg as time goes
                    R_motion = motion_match_stl[frame].getJointOrientationGlobal(stanceLeg)
                    R_character = controlModel.getJointOrientationGlobal(stanceLeg)
                    motion_match_stl[frame].setJointOrientationGlobal(stanceLeg, cm.slerp(R_motion, R_character, match_stl_func(t)))

#                    t_y = match_stl_func_y(t)
#                    t_xz = match_stl_func(t)
#                    
#                    R_motion = motion_match_stl[frame].getJointOrientationGlobal(stanceLeg)
#                    R_character = controlModel.getJointOrientationGlobal(stanceLeg)
#                    R = np.dot(R_character, R_motion.T)
#                    R_y, R_xz = mm.projectRotation((0,1,0), R)
#                    motion_match_stl[frame].mulJointOrientationGlobal(stanceLeg, mm.scaleSO3(R_xz, t_xz))
#                    motion_match_stl[frame].mulJointOrientationGlobal(stanceLeg, mm.scaleSO3(R_y, t_y))

        # swing foot placement
        motion_swf_placement.append(motion_match_stl[frame].copy())
        motion_swf_placement.goToFrame(frame)
        if SWING_FOOT_PLACEMENT:
            t_swing_foot_placement = swf_placement_func(t);
            
            if extended[0]:
                R_swp_sag = prev_R_swp[0][0]
                R_swp_cor = prev_R_swp[0][1]
            else:
                R_swp_sag = mm.I_SO3(); R_swp_cor = mm.I_SO3()
                R_swp_cor = np.dot(R_swp_cor, mm.exp(diff_dCM_cor_axis * K_swp_vel_cor * -t_swing_foot_placement))
                if np.dot(direction, diff_CMr_sag) < 0:
                    R_swp_sag = np.dot(R_swp_sag, mm.exp(diff_dCM_sag_axis * K_swp_vel_sag * -t_swing_foot_placement))
                    R_swp_sag = np.dot(R_swp_sag, mm.exp(diff_CMr_sag_axis * K_swp_pos_sag * -t_swing_foot_placement))
                else:
                    R_swp_sag = np.dot(R_swp_sag, mm.exp(diff_dCM_sag_axis * K_swp_vel_sag_faster * -t_swing_foot_placement))
                    R_swp_sag = np.dot(R_swp_sag, mm.exp(diff_CMr_sag_axis * K_swp_pos_sag_faster * -t_swing_foot_placement))
                R_swp_cor = np.dot(R_swp_cor, mm.exp(diff_CMr_cor_axis * K_swp_pos_cor * -t_swing_foot_placement))

            for i in range(len(swingLegs)):
                swingLeg = swingLegs[i]
                swingFoot = swingFoots[i] 
                
                # save swing foot global orientation
#                R_swf = motion_swf_placement[frame].getJointOrientationGlobal(swingFoot)
                
                # rotate swing leg
                motion_swf_placement[frame].mulJointOrientationGlobal(swingLeg, R_swp_sag)
                motion_swf_placement[frame].mulJointOrientationGlobal(swingLeg, R_swp_cor)
                
                # restore swing foot global orientation
#                motion_swf_placement[frame].setJointOrientationGlobal(swingFoot, R_swf)
                
                prev_R_swp[0] = (R_swp_sag, R_swp_cor)

        # swing foot height
        motion_swf_height.append(motion_swf_placement[frame].copy())
        motion_swf_height.goToFrame(frame)
        if SWING_FOOT_HEIGHT:
            for swingFoot in swingFoots:
                stanceFoot = stanceFoots[0]

                # save foot global orientation
                R_foot = motion_swf_height[frame].getJointOrientationGlobal(swingFoot)
                R_stance_foot = motion_swf_height[frame].getJointOrientationGlobal(stanceFoot)

                if OLD_SWING_HEIGHT:
                    height_tar = motion_swf_height[frame].getJointPositionGlobal(swingFoot)[1] - motion_swf_height[frame].getJointPositionGlobal(stanceFoot)[1]
                else:
                    height_tar = motion_swf_height[prev_frame].getJointPositionGlobal(swingFoot)[1] - groundHeight
                    d_height_tar = motion_swf_height.getJointVelocityGlobal(swingFoot, prev_frame)[1]
#                    height_tar += c_swf_mid_offset * swf_height_sine_func(t)
#                motion_debug1[frame] = motion_swf_height[frame].copy()

                # rotate
                motion_swf_height[frame].rotateByTarget(controlModel.getJointOrientationGlobal(0))
#                motion_debug2[frame] = motion_swf_height[frame].copy()
#                motion_debug2[frame].translateByTarget(controlModel.getJointPositionGlobal(0))

                if OLD_SWING_HEIGHT:
                    height_cur = motion_swf_height[frame].getJointPositionGlobal(swingFoot)[1] - motion_swf_height[frame].getJointPositionGlobal(stanceFoot)[1]
                else:
                    height_cur = controlModel.getJointPositionGlobal(swingFoot)[1] - halfFootHeight - c_swf_offset
                    d_height_cur = controlModel.getJointVelocityGlobal(swingFoot)[1]

                if OLD_SWING_HEIGHT:
                    offset_height = (height_tar - height_cur) * swf_height_func(t) * c5
                else:
                    offset_height = ((height_tar - height_cur) * c5
                                     + (d_height_tar - d_height_cur) * c6) * swf_height_func(t)

                offset_sine = c_swf_mid_offset * swf_height_sine_func(t)
#                offset_sine = 0.
                
                offset = 0.
                offset += offset_height
                offset += offset_sine

                if offset > 0.:
                    newPosition =  motion_swf_height[frame].getJointPositionGlobal(swingFoot)
                    newPosition[1] += offset
                    aik.ik_analytic(motion_swf_height[frame], swingFoot, newPosition)
                else:
                    if HIGHER_OFFSET:
                        newPosition =  motion_swf_height[frame].getJointPositionGlobal(stanceFoot)
                        newPosition[1] -= offset
                        aik.ik_analytic(motion_swf_height[frame], stanceFoot, newPosition)

                # return
#                motion_debug3[frame] = motion_swf_height[frame].copy()
#                motion_debug3[frame].translateByTarget(controlModel.getJointPositionGlobal(0))
                motion_swf_height[frame].rotateByTarget(R_root)
                
                # restore foot global orientation
                motion_swf_height[frame].setJointOrientationGlobal(swingFoot, R_foot)
                motion_swf_height[frame].setJointOrientationGlobal(stanceFoot, R_stance_foot)

                if plot!=None:
                    plot.addDataPoint('debug1', frame, offset_height)
                    plot.addDataPoint('debug2', frame, height_tar - height_cur)
#                    plot.addDataPoint('diff', frame, diff)


        # swing foot orientation
        motion_swf_orientation.append(motion_swf_height[frame].copy())
        motion_swf_orientation.goToFrame(frame)
        if SWING_FOOT_ORIENTATION:
            swf_orientation_func = yfg.concatenate([yfg.zero, yfg.hermite2nd, yfg.one], [.25, .75])
            for swingFoot in swingFoots:
                R_target_foot = motion_seg[curInterval[1]].getJointOrientationGlobal(swingFoot)
                R_current_foot = motion_swf_orientation[frame].getJointOrientationGlobal(swingFoot)
                motion_swf_orientation[frame].setJointOrientationGlobal(swingFoot, cm.slerp(R_current_foot, R_target_foot, swf_orientation_func(t)))
#    swf_stabilize_func = yfg.concatenate([yfg.hermite2nd, yfg.one], [c_taking_duration])
            # push orientation
#            for swingFoot in swingFoots:
#                R_target_foot = motion_seg[frame].getJointOrientationGlobal(swingFoot)
#                R_current_foot = motion_swf_orientation[frame].getJointOrientationGlobal(swingFoot)
#                motion_swf_orientation[frame].setJointOrientationGlobal(swingFoot, cm.slerp(R_current_foot, R_target_foot , swf_stabilize_func(t)))
            
        # stance foot push                
        motion_stf_push.append(motion_swf_orientation[frame].copy())
        motion_stf_push.goToFrame(frame)
        if STANCE_FOOT_PUSH:
            for swingFoot in swingFoots:
#                max_t = (maxStfPushFrame)/float(curInterval[1]-curInterval[0])
#                stf_push_func = yfg.concatenate([yfg.sine, yfg.zero], [max_t*2])
                stf_push_func = yfg.concatenate([yfg.sine, yfg.zero], [c_taking_duration*2])
                
                R_swp_sag = mm.I_SO3()
#                R_swp_sag = np.dot(R_swp_sag, mm.exp(diff_dCM_sag_axis * K_stp_vel * -stf_push_func(t)))
                
#                if step_length_cur[0] < step_length_tar[0]:
#                    ratio = step_length_cur[0] / step_length_tar[0]
#                    R_max = maxmaxStfPushFrame
#                    R_zero = 
                R_swp_sag = np.dot(R_swp_sag, mm.exp((step_length_tar[0] - step_length_cur[0])*step_axis[0] * K_stp_pos * -stf_push_func(t)))
                    
                motion_stf_push[frame].mulJointOrientationGlobal(swingFoot, R_swp_sag)
                
        # stance foot balancing 
        motion_stf_balancing.append(motion_stf_push[frame].copy())
        motion_stf_balancing.goToFrame(frame)
        if STANCE_FOOT_BALANCING:
            R_stb = mm.exp(diff_dCM_axis * K_stb_vel * stf_balancing_func(t))
            R_stb = np.dot(R_stb, mm.exp(diff_CMr_axis * K_stb_pos * stf_balancing_func(t)))
            for stanceFoot in stanceFoots:
                if frame < 5: continue
                motion_stf_balancing[frame].mulJointOrientationGlobal(stanceFoot, R_stb)
                    
        # control trajectory
        motion_control.append(motion_stf_balancing[frame].copy())
        motion_control.goToFrame(frame)
        
        #=======================================================================
        # tracking with inverse dynamics
        #=======================================================================
        th_r = motion_control.getDOFPositions(frame)
        th = controlModel.getDOFPositions()
        dth_r = motion_control.getDOFVelocities(frame)
        dth = controlModel.getDOFVelocities()
        ddth_r = motion_control.getDOFAccelerations(frame)
        ddth_des = yct.getDesiredDOFAccelerations(th_r, th, dth_r, dth, ddth_r, Kt, Dt)

        #=======================================================================
        # simulation
        #=======================================================================
        CP = mm.v3(0.,0.,0.)
        F = mm.v3(0.,0.,0.)
        avg_dCM[0] = mm.v3(0.,0.,0.)
        
        # external force rendering info
        del rd_forces[:]; del rd_force_points[:]
        for fi in forceInfos:
            if fi.startFrame <= frame and frame < fi.startFrame + fi.duration*(1/frameTime):
                rd_forces.append(fi.force)
                rd_force_points.append(controlModel.getBodyPositionGlobal(fi.targetBody)  + -mm.normalize2(fi.force)*.2)
                    
        for i in range(stepsPerFrame):
            
            bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(bodyIDsToCheck, mus, Ks, Ds)
            vpWorld.applyPenaltyForce(bodyIDs, contactPositionLocals, contactForces)
            
            # apply external force
            for fi in forceInfos:
                if fi.startFrame <= frame and frame < fi.startFrame + fi.duration*(1/frameTime):
                    controlModel.applyBodyForceGlobal(fi.targetBody, fi.force)
                                
            controlModel.setDOFAccelerations(ddth_des)
            controlModel.solveHybridDynamics()
            
#            # apply external force
#            for fi in forceInfos:
#                if fi.startFrame <= frame and frame < fi.startFrame + fi.duration*(1/frameTime):
#                    controlModel.applyBodyForceGlobal(fi.targetBody, fi.force)
            
            vpWorld.step()
#            yvu.align2D(controlModel)

            if len(contactForces) > 0:
                CP += yrp.getCP(contactPositions, contactForces)
                F += sum(contactForces)
            avg_dCM[0] += controlModel.getJointVelocityGlobal(0)
#            avg_dCM[0] += yrp.getCM(controlModel.getJointVelocitiesGlobal(), bodyMasses, upperMass, uppers)
#            avg_dCM[0] += yrp.getCM(controlModel.getJointVelocitiesGlobal(), bodyMasses, totalMass)

#            if len(stanceFoots)>0:
#                avg_stf_v[0] += controlModel.getJointVelocityGlobal(stanceFoots[0])
#                avg_stf_av[0] += controlModel.getJointAngVelocityGlobal(stanceFoots[0])
        
        CP /= stepsPerFrame
        F /= stepsPerFrame
        avg_dCM[0] /= stepsPerFrame
        
#        if len(stanceFoots)>0:
#            avg_stf_v[0] /= stepsPerFrame
#            avg_stf_av[0] /= stepsPerFrame
#            rd_vec1[0] = avg_stf_av[0]; rd_vec1[0][0] = 0.; rd_vec1[0][2] = 0.
#            rd_vecori1[0]= controlModel.getJointPositionGlobal(stanceFoots[0])

        #=======================================================================
        # segment editing
        #=======================================================================
        lastFrame = False
        
        if SEGMENT_EDITING:
            if curState==yba.GaitState.STOP:
                if frame == len(motion_seg)-1:
                    lastFrame = True
                    
            elif (curState==yba.GaitState.LSWING or curState==yba.GaitState.RSWING) and t>c_min_contact_time:
                swingID = lID if curState==yba.GaitState.LSWING else rID

                contact = False
                if swingID in bodyIDs:
                    minContactVel = 1000.
                    for i in range(len(bodyIDs)):
                        if bodyIDs[i]==swingID:
                            vel = controlModel.getBodyVelocityGlobal(swingID, contactPositionLocals[i])
                            vel[1] = 0
                            contactVel = mm.length(vel)
                            if contactVel < minContactVel: minContactVel = contactVel 
                    if minContactVel < c_min_contact_vel: contact = True
                
                extended[0] = False
                
                if contact:
#                    print frame, 'foot touch'
                    lastFrame = True
                    acc_offset[0] += frame - curInterval[1]
                    
                elif frame == len(motion_seg)-1:
                    print frame, 'extend frame', frame+1
                    
                    preserveJoints = []
#                    preserveJoints = [lFoot, rFoot]
#                    preserveJoints = [lFoot, rFoot, lKnee, rKnee]
#                    preserveJoints = [lFoot, rFoot, lKnee, rKnee, lUpLeg, rUpLeg]
                    stanceKnees = [rKnee] if curState==yba.GaitState.LSWING else [lKnee]   
                    preserveJoints = [stanceFoots[0], stanceKnees[0], stanceLegs[0]]
   
                    diff = 3
                    motion_seg_orig.extend([motion_seg_orig[-1]])
                    motion_seg.extend(ymt.extendByIntegration_root(motion_seg, 1, diff))
                    
                    motion_stitch.extend(ymt.extendByIntegration_constant(motion_stitch, 1, preserveJoints, diff))

#                    # extend for swing foot ground speed matching & swing foot height lower
##                    extendedPostures = ymt.extendByIntegration(motion_stitch, 1, preserveJoints, diff)
##                    extendedPostures = [motion_stitch[-1]] 
##
#                    extendFrameNum = frame - curInterval[1] + 1
#                    k = 1.-extendFrameNum/5.
#                    if k<0.: k=0.
#                    extendedPostures = ymt.extendByIntegrationAttenuation(motion_stitch, 1, preserveJoints, diff, k)
#
##                    if len(swingFoots)>0 and np.inner(dCM_tar, dCM)>0.:
##                        print frame, 'speed matching'
##                        R_swf = motion_stitch[-1].getJointOrientationGlobal(swingFoots[0])
##                        
##                        p_swf = motion_stitch[-1].getJointPositionGlobal(swingFoots[0])
##                        v_swf = motion_stitch.getJointVelocityGlobal(swingFoots[0], frame-diff, frame)
##                        a_swf = motion_stitch.getJointAccelerationGlobal(swingFoots[0], frame-diff, frame)
##                        p_swf += v_swf * (frameTime) + a_swf * (frameTime)*(frameTime)
##                        aik.ik_analytic(extendedPostures[0], swingFoots[0], p_swf)
##                        
##                        extendedPostures[0].setJointOrientationGlobal(swingFoots[0], R_swf)
#
#                    motion_stitch.extend(extendedPostures)
                    
                    extended[0] = True
        else:
            if frame == len(motion_seg)-1: lastFrame = True
                    
        if lastFrame:
            if segIndex < len(segments)-1:
                print '%d (%d): end of %dth seg (%s, %s)'%(frame, frame-curInterval[1],segIndex, yba.GaitState.text[curState], curInterval)
                if plot!=None: plot.addDataPoint('diff', frame, (frame-curInterval[1])*.01)
                
                if len(stanceFoots)>0 and len(swingFoots)>0:
#                    step_cur = controlModel.getJointPositionGlobal(swingFoots[0]) - controlModel.getJointPositionGlobal(stanceFoots[0])
#                    step_tar = motion_seg[curInterval[1]].getJointPositionGlobal(swingFoots[0]) - motion_seg[curInterval[1]].getJointPositionGlobal(stanceFoots[0])
                    step_cur = controlModel.getJointPositionGlobal(0) - controlModel.getJointPositionGlobal(stanceFoots[0])
                    step_tar = motion_seg[curInterval[1]].getJointPositionGlobal(0) - motion_seg[curInterval[1]].getJointPositionGlobal(stanceFoots[0])
                    
                    step_cur = mm.projectionOnPlane(step_cur, (1,0,0), (0,0,1))
                    step_tar = mm.projectionOnPlane(step_tar, (1,0,0), (0,0,1))
                    
                    step_cur_sag, step_cur_cor = mm.projectionOnVector2(step_cur, direction)
                    step_tar_sag, step_tar_cor = mm.projectionOnVector2(step_tar, direction)
                    
                    step_length_tar[0] = mm.length(step_tar_sag)
                    if np.inner(step_tar_sag, step_cur_sag) > 0:
                        step_length_cur[0] = mm.length(step_cur_sag)
                    else:
                        step_length_cur[0] = -mm.length(step_cur_sag)
                    
                    step_axis[0] = directionAxis
                    
#                    rd_vec1[0] = step_tar_sag
#                    rd_vecori1[0] = motion_seg[curInterval[1]].getJointPositionGlobal(stanceFoots[0])
#                    rd_vec2[0] = step_cur_sag
#                    rd_vecori2[0] = controlModel.getJointPositionGlobal(stanceFoots[0])

                seg_index[0] += 1
                curSeg = segments[seg_index[0]]
                stl_y_limit_num[0] = 0
                stl_xz_limit_num[0] = 0
                
                del motion_seg_orig[frame+1:]
                motion_seg_orig.extend(ymb.getAttachedNextMotion(curSeg, motion_seg_orig[-1], False, False))
                
                del motion_seg[frame+1:]
                del motion_stitch[frame+1:]
                transitionLength = len(curSeg)-1

#                motion_seg.extend(ymb.getAttachedNextMotion(curSeg, motion_seg[-1], False, False))
#                motion_stitch.extend(ymb.getStitchedNextMotion(curSeg, motion_control[-1], transitionLength, stitch_func, True, False))

                d = motion_seg[-1] - curSeg[0]
                d.rootPos[1] = 0.
                motion_seg.extend(ymb.getAttachedNextMotion(curSeg, d, True, False))
                d = motion_control[-1] - curSeg[0]
                d.rootPos[1] = 0.
                motion_stitch.extend(ymb.getStitchedNextMotion(curSeg, d, transitionLength, stitch_func, True, False))
                
#                motion_seg.extend(ymb.getAttachedNextMotion(curSeg, motion_seg[-1], False, True))
#                motion_stitch.extend(ymb.getStitchedNextMotion(curSeg, motion_control[-1], transitionLength, stitch_func, True, True))
            else:
                motion_seg_orig.append(motion_seg_orig[-1])
                motion_seg.append(motion_seg[-1])
                motion_stitch.append(motion_control[-1])
                
                
        # rendering
        motionModel.update(motion_ori[frame])
#        motionModel.update(motion_seg[frame])
        
        rd_CP[0] = CP
        rd_CMP[0] = (CMreal[0] - (F[0]/F[1])*CMreal[1], 0, CMreal[2] - (F[2]/F[1])*CMreal[1])
        
        if plot!=None:
            plot.addDataPoint('zero', frame, 0)
            plot.updatePoints()
Пример #21
0
    plot.addYdata('clFoot', clFoot, False)
    plot.addYdata('crFoot', crFoot, False)
    #    plot.addYdata('gaitStates', gaitStates, False)
    #    plot.addYdata('gaitStates1', gaitStates1, False)
    #    plot.addYdata('gaitStates0', gaitStates0, False)
    plot.addYdata('lFootStates', lFootStates, False)
    plot.addYdata('rFootStates', rFootStates, False)
    plot.addYdata(
        'lPos.y',
        [motion.getPosition(LFOOT, i)[1] for i in range(len(motion))], False)
    plot.addYdata(
        'rPos.y',
        [motion.getPosition(RFOOT, i)[1] for i in range(len(motion))], False)
    plot.addYlines('hRef', [hRef], False)
    plot.addYdata('lVel.length', [
        mmMath.length(motion.getVelocity(LFOOT, i)) for i in range(len(motion))
    ], False)
    plot.addYdata('rVel.length', [
        mmMath.length(motion.getVelocity(RFOOT, i)) for i in range(len(motion))
    ], False)
    plot.addYlines('vRef', [vRef], False)
    plot.showModeless()

    viewer = ysv.SimpleViewer()
    viewer.record(False)
    viewer.doc.addRenderer(
        'motion', yr.JointMotionRenderer(motion, (100, 255, 100),
                                         yr.LINK_BONE))
    viewer.doc.addObject('motion', motion)

    #    lSwingRenderer = yr.JointMotionRenderer(motion, (255,153,0), yr.LINK_BONE)
Пример #22
0
def main():

    np.set_printoptions(precision=4, linewidth=200)
    
#    motion, mcfg, wcfg, stepsPerFrame, config = mit.create_vchain_5()
    motion, mcfg, wcfg, stepsPerFrame, config = mit.create_biped()
        
    vpWorld = cvw.VpWorld(wcfg)
    motionModel = cvm.VpMotionModel(vpWorld, motion[0], mcfg)
    motionModel.recordVelByFiniteDiff()
    controlModel = cvm.VpControlModel(vpWorld, motion[0], mcfg)
    
    elasticity = 20000
    damping = 2*(elasticity**.5)
    
    springBody1 = 1
    springBody2 = 2        
    springBody1Pos = motionModel.getBodyPositionGlobal(motion[0].skeleton.getJointIndex(config['FootLPart'][springBody1]))
    springBody2Pos = motionModel.getBodyPositionGlobal(motion[0].skeleton.getJointIndex(config['FootLPart'][springBody2]))

    initialDist = mm.length(springBody1Pos - springBody2Pos)*1.
    node = mcfg.getNode(mit.RIGHT_METATARSAL_1)
    initialDist -= node.width#0.084
    v1 = (-node.width*0.5,0.0,node.length*0.4)
    v2 = (node.width*0.5,0.0,node.length*0.4)
    controlModel.setSpring(motion[0].skeleton.getJointIndex(config['FootLPart'][springBody1]), motion[0].skeleton.getJointIndex(config['FootLPart'][springBody2]), elasticity, damping, v2, v1, initialDist)
    controlModel.setSpring(motion[0].skeleton.getJointIndex(config['FootRPart'][springBody1]), motion[0].skeleton.getJointIndex(config['FootRPart'][springBody2]), elasticity, damping, v1, v2, initialDist)
     
    v1 = (-node.width*0.5,0.0,-node.length*0.4)
    v2 = (node.width*0.5,0.02,-node.length*0.4)
    controlModel.setSpring(motion[0].skeleton.getJointIndex(config['FootLPart'][springBody1]), motion[0].skeleton.getJointIndex(config['FootLPart'][springBody2]), elasticity, damping, v2, v1, initialDist)
    controlModel.setSpring(motion[0].skeleton.getJointIndex(config['FootRPart'][springBody1]), motion[0].skeleton.getJointIndex(config['FootRPart'][springBody2]), elasticity, damping, v1, v2, initialDist)
    
    elasticity2 = 10000
    damping2 = 2*(elasticity**.5)
    springBody3 = 5
    springBody4 = 6    
    springBody3Pos = motionModel.getBodyPositionGlobal(motion[0].skeleton.getJointIndex(config['FootLPart'][springBody3]))
    springBody4Pos = motionModel.getBodyPositionGlobal(motion[0].skeleton.getJointIndex(config['FootLPart'][springBody4]))

    initialDist2 = mm.length(springBody3Pos - springBody4Pos)*1.
    node2 = mcfg.getNode(mit.RIGHT_CALCANEUS_1)
    initialDist2 -= node2.width
    v3 = (-node2.width*0.5,0.0,-node2.length*0.4)
    v4 = (node2.width*0.5,0.0,-node2.length*0.4)
    controlModel.setSpring(motion[0].skeleton.getJointIndex(config['FootLPart'][springBody3]), motion[0].skeleton.getJointIndex(config['FootLPart'][springBody4]), elasticity2, damping2, v4, v3, initialDist2)
    controlModel.setSpring(motion[0].skeleton.getJointIndex(config['FootRPart'][springBody3]), motion[0].skeleton.getJointIndex(config['FootRPart'][springBody4]), elasticity2, damping2, v3, v4, initialDist2)
    
    vpWorld.initialize()
    controlModel.initializeHybridDynamics()
    
    #ModelOffset = (1.5, -0.01, 0)
    ModelOffset = (1.5, 0.1, 0)
    controlModel.translateByOffset(ModelOffset)
    
    totalDOF = controlModel.getTotalDOF()
    DOFs = controlModel.getDOFs()
        
    # parameter 
    Kt = config['Kt']; Dt = config['Dt'] # tracking gain
    Kl = config['Kl']; Dl = config['Dl'] # linear balance gain
    Kh = config['Kh']; Dh = config['Dh'] # angular balance gain
    Ks = config['Ks']; Ds = config['Ds']  # penalty force spring gain
    
    Bt = config['Bt']
    Bl = config['Bl']
    Bh = config['Bh']
        
    w = mot.getTrackingWeight(DOFs, motion[0].skeleton, config['weightMap'])
    w2 = mot.getTrackingWeight(DOFs, motion[0].skeleton, config['weightMap2'])
    #w_IK = mot.getTrackingWeight(DOFs, motion[0].skeleton, config['IKweightMap'])
    supL =  motion[0].skeleton.getJointIndex(config['supLink'])
    supR =  motion[0].skeleton.getJointIndex(config['supLink2'])
    rootB = motion[0].skeleton.getJointIndex(config['root'])

    selectedBody = motion[0].skeleton.getJointIndex(config['end'])
    #constBody = motion[0].skeleton.getJointIndex('LeftForeArm')
    constBody = motion[0].skeleton.getJointIndex(config['const'])
    
    # jacobian 
    Jsup = yjc.makeEmptyJacobian(DOFs, 1)
    dJsup = Jsup.copy()
    JsupPre = Jsup.copy()

    Jsys = yjc.makeEmptyJacobian(DOFs, controlModel.getBodyNum())
    dJsys = Jsys.copy()
    JsysPre = Jsys.copy()
        
    Jconst = yjc.makeEmptyJacobian(DOFs, 1)
    dJconst = Jconst.copy()

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

    footPartNum = config['FootPartNum']
    
    indexFootL = [None]*footPartNum
    indexFootR = [None]*footPartNum
    jFootL = [None]*footPartNum
    dJFootL = [None]*footPartNum
    jFootR = [None]*footPartNum
    dJFootR = [None]*footPartNum
    jointMasksFootL = [None]*footPartNum
    jointMasksFootR = [None]*footPartNum
    
    jAngFootL = [None]*footPartNum
    dJAngFootL = [None]*footPartNum
    jAngFootR = [None]*footPartNum
    dJAngFootR = [None]*footPartNum

    for i in range(footPartNum) :
        jFootL[i] = yjc.makeEmptyJacobian(DOFs, 1)
        dJFootL[i] = jFootL[i].copy()
        jFootR[i] = yjc.makeEmptyJacobian(DOFs, 1)
        dJFootR[i] = jFootR[i].copy()
        
        jAngFootL[i] = yjc.makeEmptyJacobian(DOFs, 1, False)
        dJAngFootL[i] = jAngFootL[i].copy()
        jAngFootR[i] = yjc.makeEmptyJacobian(DOFs, 1, False)
        dJAngFootR[i] = jAngFootR[i].copy()
        
        indexFootL[i] = motion[0].skeleton.getJointIndex(config['FootLPart'][i])
        indexFootR[i] = motion[0].skeleton.getJointIndex(config['FootRPart'][i])
        jointMasksFootL[i] = [yjc.getLinkJointMask(motion[0].skeleton, indexFootL[i])]
        jointMasksFootR[i] = [yjc.getLinkJointMask(motion[0].skeleton, indexFootR[i])]       
   

    constJointMasks = [yjc.getLinksJointMask(motion[0].skeleton, [indexFootL[1], indexFootR[1]])]
    #constJointMasks = [yjc.getLinksJointMask(motion[0].skeleton, [indexFootL[0]])]
    #constJointMasks = [yjc.getLinkJointMask(motion[0].skeleton, constBody)]
    allLinkJointMasks = yjc.getAllLinkJointMasks(motion[0].skeleton)
    
    '''
    maskArray = [foreSupLJointMasks, foreSupRJointMasks, rearSupLJointMasks, rearSupRJointMasks]
    parentArray = [supL, supR, supL, supR]
    effectorArray = [foreSupL, foreSupR, rearSupL, rearSupR]
    for j in range(4) :
        for i in range(len(foreSupLJointMasks)) :
            if i == parentArray[j] or i == effectorArray[j] :
                maskArray[j][0][i] = 1
            else :
                maskArray[j][0][i] = 0
    '''     
    # momentum matrix
    linkMasses = controlModel.getBodyMasses()
    totalMass = controlModel.getTotalMass()
    TO = ymt.make_TO(linkMasses) 
    dTO = ymt.make_dTO(len(linkMasses))
    
    # optimization
    problem = yac.LSE(totalDOF, 6)
    a_sup = (0,0,0, 0,0,0) #L
    #a_sup2 = (0,0,0, 0,0,0)#R
    a_sup2 = [0,0,0, 0,0,0]#R
    a_sup_2 = [0,0,0, 0,0,0, 0,0,0, 0,0,0]
    CP_old = [mm.v3(0.,0.,0.)]
        
    # penalty method 
    bodyIDsToCheck = range(vpWorld.getBodyNum())
    mus = [1.]*len(bodyIDsToCheck)

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

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


    # viewer
    rd_footCenter = [None]
    rd_footCenter_ref = [None]
    rd_footCenterL = [None]
    rd_footCenterR = [None]
    rd_CM_plane = [None]
    rd_CM_plane_ref = [None]
    rd_CM_ref = [None]
    rd_CM = [None]
    rd_CM_vec = [None]
    rd_CM_ref_vec = [None]
    rd_CP = [None]
    rd_CP_des = [None]
    rd_dL_des_plane = [None]
    rd_dH_des = [None]
    rd_grf_des = [None]
    rd_footCenter_des = [None]
    rd_exf_des = [None]
    rd_root_des = [None]
    rd_soft_const_vec = [None]
    
    rd_root = [None]
    
    rd_footL_vec = [None]
    rd_footR_vec = [None]
        
    rd_CMP = [None]
    
    rd_DesPosL = [None]
    rd_DesPosR = [None]
    
    rd_DesForePosL = [None]
    rd_DesForePosR = [None]
    rd_DesRearPosL = [None]
    rd_DesRearPosR = [None]

    rd_Joint = [None]
    rd_Joint2 = [None]
    rd_Joint3 = [None]
    rd_Joint4 = [None]
        
    rd_contactForces = [None]*1000
    rd_contactPositions = [None]*1000

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

    normalVector = [[0,2,0]]
    
    viewer = ysv.SimpleViewer()
#    viewer.record(False)
#    viewer.doc.addRenderer('motion', yr.JointMotionRenderer(motion, (0,255,255), yr.LINK_BONE))
    viewer.doc.addObject('motion', motion)
    viewer.doc.addRenderer('motionModel', cvr.VpModelRenderer(motionModel, (150,150,255), yr.POLYGON_FILL))
    viewer.doc.addRenderer('controlModel', cvr.VpModelRenderer(controlModel, (255,240,255), yr.POLYGON_FILL))
    viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))    
    viewer.doc.addRenderer('rd_footCenter_des', yr.PointsRenderer(rd_footCenter_des, (150,0,150))    )
    #viewer.doc.addRenderer('rd_footCenterL', yr.PointsRenderer(rd_footCenterL))  
    #viewer.doc.addRenderer('rd_footCenterR', yr.PointsRenderer(rd_footCenterR))
    #viewer.doc.addRenderer('rd_CM_plane', yr.PointsRenderer(rd_CM_plane, (255,255,0)))
    viewer.doc.addRenderer('rd_CM', yr.PointsRenderer(rd_CM_plane, (255,255,0)))
    #viewer.doc.addRenderer('rd_CP_des', yr.PointsRenderer(rd_CP_des, (0,255,0)))
    #viewer.doc.addRenderer('rd_CP_des', yr.PointsRenderer(rd_CP_des, (255,0,255)))
#    viewer.doc.addRenderer('rd_dL_des_plane', yr.VectorsRenderer(rd_dL_des_plane, rd_CM, (255,255,0)))
#    viewer.doc.addRenderer('rd_dH_des', yr.VectorsRenderer(rd_dH_des, rd_CM, (0,255,0)))
    viewer.doc.addRenderer('rd_grf_des', yr.ForcesRenderer(rd_grf_des, rd_CP, (0,255,255), .001))

    viewer.doc.addRenderer('rd_exf_des', yr.ForcesRenderer(rd_exf_des, rd_root_des, (0,255,0), .009, 0.05))
        
    viewer.doc.addRenderer('rd_CMP', yr.PointsRenderer(rd_CMP, (0,0,255)))
    
    viewer.doc.addRenderer('rd_DesPosL', yr.PointsRenderer(rd_DesPosL, (0,0,255)))
    viewer.doc.addRenderer('rd_DesPosR', yr.PointsRenderer(rd_DesPosR, (0,100,255)))
    
    #viewer.doc.addRenderer('rd_DesForePosL', yr.PointsRenderer(rd_DesForePosL, (150,0,200)))
    #viewer.doc.addRenderer('rd_DesForePosR', yr.PointsRenderer(rd_DesForePosR, (150,0,250)))
    #viewer.doc.addRenderer('rd_DesRearPosL', yr.PointsRenderer(rd_DesRearPosL, (0,150,200)))
    #viewer.doc.addRenderer('rd_DesRearPosR', yr.PointsRenderer(rd_DesRearPosR, (0,150,250)))

    viewer.doc.addRenderer('softConstraint', yr.VectorsRenderer(rd_soft_const_vec, rd_CMP, (150,100,100), 3))
        
    viewer.doc.addRenderer('rd_footLVec', yr.VectorsRenderer(rd_footL_vec, rd_footCenterL, (255,0,0), 3))
    viewer.doc.addRenderer('rd_footRVec', yr.VectorsRenderer(rd_footR_vec, rd_footCenterR, (255,255,0), 3))

    #viewer.doc.addRenderer('rd_footCenter_ref', yr.PointsRenderer(rd_footCenter_ref))    
    #viewer.doc.addRenderer('rd_CM_plane_ref', yr.PointsRenderer(rd_CM_plane_ref, (255,255,0)))
        
    viewer.doc.addRenderer('rd_refNormalVec', yr.VectorsRenderer(normalVector, rd_footCenter_ref, (255,0,0), 3))
    viewer.doc.addRenderer('rd_refCMVec', yr.VectorsRenderer(rd_CM_ref_vec, rd_footCenter_ref, (255,0,255), 3))
    
    viewer.doc.addRenderer('rd_curNormalVec', yr.VectorsRenderer(normalVector, rd_footCenter, (255,0,0), 3))
    viewer.doc.addRenderer('rd_CMVec', yr.VectorsRenderer(rd_CM_vec, rd_footCenter, (255,0,255), 3))
        
    #viewer.doc.addRenderer('rd_contactForces', yr.ForcesRenderer(rd_contactForces, rd_contactPositions, (0,255,0), .009, 0.009))

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

    stage = STATIC_BALANCING

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

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

        motionModel.update(motion[frame])

        Kt, Kk, Kl, Kh, Ksc, Bt, Bl, Bh, Bsc = viewer.GetParam()
        
        Dt = 2*(Kt**.5)
        Dk = 2*(Kk**.5)
        Dl = 2*(Kl**.5)
        Dh = 2*(Kh**.5)
        Dsc = 2*(Ksc**.5)
                
        if Bsc == 0.0 :
            viewer.doc.showRenderer('softConstraint', False)
            viewer.motionViewWnd.update(1, viewer.doc)
        else:
            viewer.doc.showRenderer('softConstraint', True)
            renderer1 = viewer.doc.getRenderer('softConstraint')
            renderer1.rc.setLineWidth(0.1+Bsc*3)
            viewer.motionViewWnd.update(1, viewer.doc)
                        
        # tracking
        th_r = motion.getDOFPositions(frame)
        th = controlModel.getDOFPositions()
        dth_r = motion.getDOFVelocities(frame)
        dth = controlModel.getDOFVelocities()
        ddth_r = motion.getDOFAccelerations(frame)
        ddth_des = yct.getDesiredDOFAccelerations(th_r, th, dth_r, dth, ddth_r, Kt, Dt)
        ddth_c = controlModel.getDOFAccelerations()

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

        ype.flatten(ddth_c, ddth_c_flat)
        
        # jacobian                                 
        refFootL = motionModel.getBodyPositionGlobal(supL)        
        refFootR = motionModel.getBodyPositionGlobal(supR)
               
        positionFootL = [None]*footPartNum
        positionFootR = [None]*footPartNum
        for i in range(footPartNum):
            positionFootL[i] = controlModel.getBodyPositionGlobal(indexFootL[i])
            positionFootR[i] = controlModel.getBodyPositionGlobal(indexFootR[i])
        
        linkPositions = controlModel.getBodyPositionsGlobal()
        linkVelocities = controlModel.getBodyVelocitiesGlobal()
        linkAngVelocities = controlModel.getBodyAngVelocitiesGlobal()
        linkInertias = controlModel.getBodyInertiasGlobal()

        jointPositions = controlModel.getJointPositionsGlobal()
        jointAxeses = controlModel.getDOFAxeses()
        
        CM = yrp.getCM(linkPositions, linkMasses, totalMass)
        dCM = yrp.getCM(linkVelocities, linkMasses, totalMass)
        CM_plane = copy.copy(CM); CM_plane[1]=0.
        dCM_plane = copy.copy(dCM); dCM_plane[1]=0.
                
        linkPositions_ref = motionModel.getBodyPositionsGlobal()
        CM_ref = yrp.getCM(linkPositions_ref, linkMasses, totalMass)
        CM_plane_ref = copy.copy(CM_ref)
        CM_plane_ref[1] = 0.
        
        P = ymt.getPureInertiaMatrix(TO, linkMasses, linkPositions, CM, linkInertias)
        dP = ymt.getPureInertiaMatrixDerivative(dTO, linkMasses, linkVelocities, dCM, linkAngVelocities, linkInertias)

        yjc.computeJacobian2(Jsys, DOFs, jointPositions, jointAxeses, linkPositions, allLinkJointMasks)       
        yjc.computeJacobianDerivative2(dJsys, DOFs, jointPositions, jointAxeses, linkAngVelocities, linkPositions, allLinkJointMasks)
                
        yjc.computeJacobian2(jFootL[0], DOFs, jointPositions, jointAxeses, [positionFootL[0]], jointMasksFootL[0])
        yjc.computeJacobianDerivative2(dJFootL[0], DOFs, jointPositions, jointAxeses, linkAngVelocities, [positionFootL[0]], jointMasksFootL[0], False)
        
        yjc.computeJacobian2(jFootR[0], DOFs, jointPositions, jointAxeses, [positionFootR[0]], jointMasksFootR[0])
        yjc.computeJacobianDerivative2(dJFootR[0], DOFs, jointPositions, jointAxeses, linkAngVelocities, [positionFootR[0]], jointMasksFootR[0], False)
                
        yjc.computeAngJacobian2(jAngFootL[0], DOFs, jointPositions, jointAxeses, [positionFootL[0]], jointMasksFootL[0])
        yjc.computeAngJacobianDerivative2(dJAngFootL[0], DOFs, jointPositions, jointAxeses, linkAngVelocities, [positionFootL[0]], jointMasksFootL[0], False)
        
        yjc.computeAngJacobian2(jAngFootR[0], DOFs, jointPositions, jointAxeses, [positionFootR[0]], jointMasksFootR[0])
        yjc.computeAngJacobianDerivative2(dJAngFootR[0], DOFs, jointPositions, jointAxeses, linkAngVelocities, [positionFootR[0]], jointMasksFootR[0], False)
        
        bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(bodyIDsToCheck, mus, Ks, Ds)
        CP = yrp.getCP(contactPositions, contactForces)

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

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

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


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


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

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

        for j in range(len(indexFootL)):
            yjc.computeAngJacobian2(jAngFootL[j], DOFs, jointPositions, jointAxeses, [positionFootL[j]], jointMasksFootL[j])
            yjc.computeAngJacobianDerivative2(dJAngFootL[j], DOFs, jointPositions, jointAxeses, linkAngVelocities, [positionFootL[j]], jointMasksFootL[j], False)            
            yjc.computeAngJacobian2(jAngFootR[j], DOFs, jointPositions, jointAxeses, [positionFootR[j]], jointMasksFootR[j])
            yjc.computeAngJacobianDerivative2(dJAngFootR[j], DOFs, jointPositions, jointAxeses, linkAngVelocities, [positionFootR[j]], jointMasksFootR[j], False)

        '''
        if footPartNum == 1:
             footCenterL = controlModel.getBodyPositionGlobal(supL)
             footCenterR = controlModel.getBodyPositionGlobal(supR)             
        else:
            if ((contactFlagFootL[3] == 1 or contactFlagFootL[4] == 1) and contactFlagFootL[0] == 0) or ((contactFlagFootR[3] == 1 or contactFlagFootR[4] == 1) and contactFlagFootR[0] == 0):
                r = 0.8
                footCenterL = (controlModel.getBodyPositionGlobal(supL)*r + controlModel.getBodyPositionGlobal(indexFootL[1])*(1.0-r))
                footCenterR = (controlModel.getBodyPositionGlobal(supR)*r + controlModel.getBodyPositionGlobal(indexFootR[1])*(1.0-r))
                #footCenterL = controlModel.getBodyPositionGlobal(indexFootL[1]) 
                #footCenterR = controlModel.getBodyPositionGlobal(indexFootR[1])                 
            else :
                #footCenterL = (controlModel.getBodyPositionGlobal(supL) + controlModel.getBodyPositionGlobal(indexFootL[1]))/2.0
                #footCenterR = (controlModel.getBodyPositionGlobal(supR) + controlModel.getBodyPositionGlobal(indexFootR[1]))/2.0
                #footCenterL = controlModel.getBodyPositionGlobal(indexFootL[1])                    
                #footCenterR = controlModel.getBodyPositionGlobal(indexFootR[1])
                r = 0.8
                footCenterL = (controlModel.getBodyPositionGlobal(indexFootL[1])*r + controlModel.getBodyPositionGlobal(indexFootL[3])*(1.0-r))
                footCenterR = (controlModel.getBodyPositionGlobal(indexFootR[1])*r + controlModel.getBodyPositionGlobal(indexFootR[3])*(1.0-r))
        '''
        
        '''
        if stage == POWERFUL_BALANCING:
            footCenterL = controlModel.getBodyPositionGlobal(indexFootL[1])        
            footCenterR = controlModel.getBodyPositionGlobal(indexFootR[1])
        else:
            footCenterL = (controlModel.getBodyPositionGlobal(indexFootL[1]) + controlModel.getBodyPositionGlobal(indexFootL[3]) )/2.0       
            footCenterR = (controlModel.getBodyPositionGlobal(indexFootR[1]) + controlModel.getBodyPositionGlobal(indexFootR[3]))/2.0
        '''
        '''
        p1 = controlModel.getBodyPositionGlobal(indexFootL[0])
        p2 = controlModel.getBodyPositionGlobal(indexFootR[0])
        p3 = controlModel.getBodyPositionGlobal(indexFootL[3])
        p4 = controlModel.getBodyPositionGlobal(indexFootR[3])
        print(frame, "supL", p1[1])
        print(frame, "supR", p2[1])
        print(frame, "calcL", p3[1])
        print(frame, "calcR", p4[1])        
        '''

        #footCenter = footCenterL + (footCenterR - footCenterL)/2.0
        #footCenter[1] = 0.     
        
        #
        '''
        if checkAll(contactFlagFootL, 0) == 1 and checkAll(contactFlagFootR, 0) == 1:
            footCenter = footCenter
        elif checkAll(contactFlagFootL, 0) == 1 :
            footCenter = footCenterR
        elif checkAll(contactFlagFootR, 0) == 1 :
            footCenter = footCenterL
        '''

        if footPartNum == 1:
            desFCL = (controlModel.getBodyPositionGlobal(supL))
            desFCR = (controlModel.getBodyPositionGlobal(supR))
        else :
            r = .4
            desFCL = (controlModel.getBodyPositionGlobal(indexFootL[1])*r + controlModel.getBodyPositionGlobal(indexFootL[3])*(1.0-r))#controlModel.getBodyPositionGlobal(indexFootL[1])
            desFCR = (controlModel.getBodyPositionGlobal(indexFootR[1])*r + controlModel.getBodyPositionGlobal(indexFootR[3])*(1.0-r))#controlModel.getBodyPositionGlobal(indexFootR[1])
        desFC = desFCL + (desFCR - desFCL)/2.0  
           
        if checkAll(contactFlagFootL, 0) == 1 and checkAll(contactFlagFootR, 0) == 1:
            desFC = desFC
        elif checkAll(contactFlagFootL, 0) == 1 :
            desFC = desFCR
        elif checkAll(contactFlagFootR, 0) == 1 :
            desFC = desFCL
           
        #if stage == MOTION_TRACKING:
        #    desFC = desFCL
        
        desFC[1] = 0
        rd_footCenter_des[0] = desFC.copy()
        curRelCMVec = CM_plane - desFC
        vecRatio = mm.length(curRelCMVec)*0.
        #print(frame, vecRatio)
        footCenter = desFC - curRelCMVec*(vecRatio)#/10.0

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

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

        desForeSupLAcc = [0,0,0]
        desForeSupRAcc = [0,0,0]
                
        totalNormalForce = [0,0,0]    
        
        for i in range(len(contactForces)):
            totalNormalForce[0] += contactForces[i][0]
            totalNormalForce[1] += contactForces[i][1]
            totalNormalForce[2] += contactForces[i][2]
                                   
        #print((totalMass*mm.s2v(wcfg.gravity))[1])
        print("totalNormalForce=", totalNormalForce[1])
        print("F_Diff=", (totalMass*mm.s2v(wcfg.gravity))[1]+totalNormalForce[1])

        # linear momentum
        CM_ref_plane = footCenter
        dL_des_plane = Kl*totalMass*(CM_ref_plane - CM_plane) - Dl*totalMass*dCM_plane
    
        print("CM_Diff=",mm.length(CM_ref_plane - CM_plane))
        # angular momentum
        CP_ref = footCenter

        timeStep = 30.
        if CP_old[0]==None or CP==None:
            dCP = None
        else:
            dCP = (CP - CP_old[0])/(1/timeStep)
        CP_old[0] = CP            
        
        if CP!=None and dCP!=None:
            ddCP_des = Kh*(CP_ref - CP) - Dh*(dCP)
            CP_des = CP + dCP*(1/timeStep) + .5*ddCP_des*((1/timeStep)**2)
            #dH_des = np.cross((CP_des - CM), (dL_des_plane + totalMass*mm.s2v(wcfg.gravity)))            
            dH_des = np.cross((CP_des - CM_plane), (dL_des_plane + totalMass*mm.s2v(wcfg.gravity)))
            print("CP_Diff=",mm.length(CP_des - CP))
        else:
            dH_des = None
                        
 
        # momentum matrix
        RS = np.dot(P, Jsys)
        R, S = np.vsplit(RS, 2)
        
        rs = np.dot((np.dot(dP, Jsys) + np.dot(P, dJsys)), dth_flat)
        r_bias, s_bias = np.hsplit(rs, 2)


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

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

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

        r = -(P_des - P_cur)
        I = np.vstack(([1,0,0],[0,1,0],[0,0,1]))
        Z = np.hstack((I, mm.getCrossMatrixForm(-r)))
          
        yjc.computeJacobian2(Jconst, DOFs, jointPositions, jointAxeses, [P_cur], constJointMasks)
        JL, JA = np.vsplit(Jconst, 2)
        Q1 = np.dot(Z, Jconst)
                  
        q1 = np.dot(JA, dth_flat)
        q2 = np.dot(mm.getCrossMatrixForm(q1), np.dot(mm.getCrossMatrixForm(q1), r))
        
        yjc.computeJacobianDerivative2(dJconst, DOFs, jointPositions, jointAxeses, linkAngVelocities, [P_cur], constJointMasks, False)
        q_bias1 = np.dot(np.dot(Z, dJconst), dth_flat) + q2
        
        ##############################
        
         
        flagContact = True
        if dH_des==None or np.any(np.isnan(dH_des)) == True:
            flagContact = False 
            viewer.doc.showRenderer('rd_grf_des', False)
            viewer.motionViewWnd.update(1, viewer.doc)
        else:
            viewer.doc.showRenderer('rd_grf_des', True)
            viewer.motionViewWnd.update(1, viewer.doc)
        '''
        0 : initial
        1 : contact
        2 : fly
        3 : landing
        '''

        #MOTION = FORWARD_JUMP
        if mit.MOTION == mit.FORWARD_JUMP :
            frame_index = [136, 100]
            #frame_index = [100000, 100000]
        elif mit.MOTION == mit.TAEKWONDO:
            frame_index = [130, 100]
            #frame_index = [100000, 100000]
        elif mit.MOTION == mit.TAEKWONDO2:
            frame_index = [130+40, 100]
        elif mit.MOTION == mit.WALK:
            frame_index = [10000, 60]
        else :
            frame_index = [1000000, 1000000]
        
        #MOTION = TAEKWONDO 
        #frame_index = [135, 100]

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

        trackingW = w

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

        # optimization
                
        mot.addTrackingTerms(problem, totalDOF, Bt, trackingW, ddth_des_flat)
                
        mot.addSoftPointConstraintTerms(problem, totalDOF, Bsc, ddP_des1, Q1, q_bias1)

        if flagContact == True:
            if stage != MOTION_TRACKING+10:
                mot.addLinearTerms(problem, totalDOF, Bl, dL_des_plane, R, r_bias) 
                mot.addAngularTerms(problem, totalDOF, Bh, dH_des, S, s_bias)
            
        a_sup_2 = [None]
        Jsup_2 = [None]
        dJsup_2 = [None]

        ##############################
        # Hard constraint        
        if stage != MOTION_TRACKING:
            Kk2 = Kk * 2.0
        else :
            Kk2 = Kk * 1.5
                    
        Dk2 = 2*(Kk2**.5)

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

        desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, supL, Kk2, Dk2)
        desAngularAccR = getDesFootAngularAcc(motionModel, controlModel, supR, Kk2, Dk2)
        '''
        
        if stage != MOTION_TRACKING:
            idx = 0 #LEFT/RIGHT_TOES 
                        
            if stage != MOTION_TRACKING:
                desLinearAccL, desPosL = getDesFootLinearAcc(motionModel, controlModel, indexFootL[idx], ModelOffset, CM_ref, CM, Kk2, Dk2, 0.14)#0.076) 
                desLinearAccR, desPosR = getDesFootLinearAcc(motionModel, controlModel, indexFootR[idx], ModelOffset, CM_ref, CM, Kk2, Dk2, 0.14) 

                desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, indexFootL[idx], Kk2, Dk2, [0,0,-1], [0,1,1.5])
                desAngularAccR = getDesFootAngularAcc(motionModel, controlModel, indexFootR[idx], Kk2, Dk2, [0,0,-1], [0,1,1.5])
        
                a_sup_2 = np.hstack(( np.hstack((desLinearAccL, desAngularAccL)), np.hstack((desLinearAccR, desAngularAccR)) ))
 
                Jsup_2 = np.vstack((jFootL[idx], jFootR[idx]))
                dJsup_2 = np.vstack((dJFootL[idx], dJFootR[idx]))   
            else:
                desLinearAccL, desPosL = getDesFootLinearAcc(motionModel, controlModel, indexFootL[idx], ModelOffset, CM_ref, CM, Kk2, Dk2, 0.040) 
                desLinearAccR, desPosR = getDesFootLinearAcc(motionModel, controlModel, indexFootR[idx], ModelOffset, CM_ref, CM, Kk2, Dk2, 0.040) 

                desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, indexFootL[idx], Kk2, Dk2)
                    
                a_sup_2 = np.hstack((desLinearAccL, desAngularAccL))
 
                Jsup_2 = jFootL[idx] 
                dJsup_2 = dJFootL[idx]
            
            rd_DesPosL[0] = desPosL.copy()
            rd_DesPosR[0] = desPosR.copy()
        else:
            if footPartNum != 5:
                idx = 0
                desLinearAccL, desPosL = getDesFootLinearAcc(motionModel, controlModel, indexFootL[idx], ModelOffset, CM_ref, CM, Kk2, Dk2, 0.045) 
                desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, indexFootL[idx], Kk2, Dk2)
        
                a_sup_2 = np.hstack(( desLinearAccL, desAngularAccL))
 
                Jsup_2 = (jFootL[idx])
                dJsup_2 = (dJFootL[idx])  
                '''
                idx = 4
                desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, indexFootL[idx], Kk2, Dk2)
        
                a_sup_2 = np.hstack(( a_sup_2, desAngularAccL))
 
                Jsup_2 = np.vstack(( Jsup_2, jAngFootL[idx]))
                dJsup_2 = np.vstack(( dJsup_2, dJAngFootL[idx]))
                '''
                '''                
                idx = 1
                desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, indexFootL[idx], Kk2, Dk2)        
                a_sup_2 = np.hstack(( a_sup_2, desAngularAccL))
 
                Jsup_2 = np.vstack(( Jsup_2, jAngFootL[idx]))
                dJsup_2 = np.vstack(( dJsup_2, dJAngFootL[idx]))
                '''
            else:                
                idx = 0
                desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, indexFootL[idx], Kk2, Dk2)
                desAngularAccR = getDesFootAngularAcc(motionModel, controlModel, indexFootR[idx], Kk2, Dk2)
        
                a_sup_2 = np.hstack(( desAngularAccL, desAngularAccR ))
 
                Jsup_2 = np.vstack((jAngFootL[idx], jAngFootR[idx]))
                dJsup_2 = np.vstack((dJAngFootL[idx], dJAngFootR[idx]))             
                       

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

        if stage != MOTION_TRACKING+10:
            #Kk2 = Kk * 2.5
            Kk2 = Kk * 2.5
            Dk2 = 2*(Kk2**.5)
            desForePosL = [0,0,0]
            desForePosR = [0,0,0]
            desRearPosL = [0,0,0]
            desRearPosR = [0,0,0]
            
            for i in range(1, footPartNum) :
                if stage != MOTION_TRACKING:
                    axis = [0,1,0]
                    desAng = [0,1,0]
                    desY = 0.04
                    if i == 1 or i == 2:
                        desAng = [0,1,1.2]
                        desY = 0.076
                    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(( a_sup_2, np.hstack((desLinearAccL, desAngularAccL)) ))
                        Jsup_2 = np.vstack(( Jsup_2, jFootL[i] ))
                        dJsup_2 = np.vstack(( dJsup_2, dJFootL[i] ))                
                    if contactFlagFootR[i] == 1:
                        desLinearAccR, desForePosR = getDesFootLinearAcc(motionModel, controlModel, indexFootR[i], ModelOffset, CM_ref, CM, Kk2, Dk2, desY) 
                        desAngularAccR = getDesFootAngularAcc(motionModel, controlModel, indexFootR[i], Kk2, Dk2, axis, desAng)
                        a_sup_2 = np.hstack(( a_sup_2, np.hstack((desLinearAccR, desAngularAccR)) ))            
                        Jsup_2 = np.vstack(( Jsup_2, jFootR[i] ))
                        dJsup_2 = np.vstack(( dJsup_2, dJFootR[i] ))
                else:
                    if contactFlagFootL[i] == 1:
                        desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, indexFootL[i], Kk2, Dk2)
                        a_sup_2 = np.hstack(( a_sup_2, desAngularAccL ))
                        Jsup_2 = np.vstack(( Jsup_2, jAngFootL[i] ))
                        dJsup_2 = np.vstack(( dJsup_2, dJAngFootL[i] ))                
                    if contactFlagFootR[i] == 1:
                        desAngularAccR = getDesFootAngularAcc(motionModel, controlModel, indexFootR[i], Kk2, Dk2)
                        a_sup_2 = np.hstack(( a_sup_2, desAngularAccR ))            
                        Jsup_2 = np.vstack(( Jsup_2, jAngFootR[i] ))
                        dJsup_2 = np.vstack(( dJsup_2, dJAngFootR[i] ))

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

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

        r = problem.solve()
        problem.clear()
        ype.nested(r['x'], ddth_sol)
                      
        rootPos[0] = controlModel.getBodyPositionGlobal(selectedBody)
        localPos = [[0, 0, 0]]   

        rd_Joint[0] = controlModel.getJointPositionGlobal(motion[0].skeleton.getJointIndex('LeftMetatarsal_1'))
        rd_Joint2[0] = controlModel.getJointPositionGlobal(motion[0].skeleton.getJointIndex('LeftMetatarsal_3'))
        rd_Joint3[0] = controlModel.getJointPositionGlobal(motion[0].skeleton.getJointIndex('LeftPhalange_1'))
        rd_Joint4[0] = controlModel.getJointPositionGlobal(motion[0].skeleton.getJointIndex('LeftPhalange_3'))
                
        for i in range(stepsPerFrame):
            # apply penalty force
            bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(bodyIDsToCheck, mus, Ks, Ds)
     
            vpWorld.applyPenaltyForce(bodyIDs, contactPositionLocals, contactForces)                      
            
            extraForce[0] = viewer.GetForce()
            if (extraForce[0][0] != 0 or extraForce[0][1] != 0 or extraForce[0][2] != 0) :
                forceApplyFrame += 1
                #vpWorld.applyPenaltyForce(selectedBodyId, localPos, extraForce)
                controlModel.applyBodyForceGlobal(selectedBody, extraForce[0])
                applyedExtraForce[0] = extraForce[0]
            
            if forceApplyFrame*wcfg.timeStep > 0.1:
                viewer.ResetForce()
                forceApplyFrame = 0            

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

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

        #rd_CM_plane[0][1] = 0.
        
        if CP!=None and dCP!=None:
            rd_CP[0] = CP
            rd_CP_des[0] = CP_des
        
        rd_dL_des_plane[0] = dL_des_plane
        rd_dH_des[0] = dH_des
        
        rd_grf_des[0] = totalNormalForce# - totalMass*mm.s2v(wcfg.gravity)#dL_des_plane - totalMass*mm.s2v(wcfg.gravity)
                
        rd_exf_des[0] = applyedExtraForce[0]
        rd_root_des[0] = rootPos[0]

        rd_CMP[0] = softConstPoint

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


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

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

        rd_footL_vec[0] = np.copy(curAngY[0])
        rd_footCenterL[0] = controlModel.getBodyPositionGlobal(indexL)
                
        curAng = [controlModel.getBodyOrientationGlobal(indexR)]                        
        curAngY = np.dot(curAng, np.array([0,0,1]))

        rd_footR_vec[0] = np.copy(curAngY[0])
        rd_footCenterR[0] = controlModel.getBodyPositionGlobal(indexR)
        
        if (forceApplyFrame == 0) :
            applyedExtraForce[0] = [0, 0, 0]

    viewer.setSimulateCallback(simulateCallback)
    
    viewer.startTimer(1/60.)
    viewer.show()
    
    Fl.run()
Пример #23
0
from fltk import *

import sys
sys.path.append('../PyCommon/modules')
import Math.mmMath as mmMath
import Resource.ysMotionLoader as yf
import Renderer.ysRenderer as yr
import GUI.ysSimpleViewer as ysv

if __name__ == "__main__":
    motion0, frameTime = yf.readBvhFileAsJointMotion(
        'Data/wd2_WalkSameSame00.bvh', .01)
    motion1, frameTime = yf.readBvhFileAsJointMotion(
        'Data/wd2_spiral_walk_normal05.bvh', .01)

    length0 = mmMath.length(motion0[0].getGlobalPos('RightUpLeg') -
                            motion0[0].getGlobalPos('RightLeg'))
    length1 = mmMath.length(motion1[0].getGlobalPos('RightUpLeg') -
                            motion1[0].getGlobalPos('RightLeg'))
    scale = length0 / length1
    print 'scale', scale

    scaledMotion1, frameTime = yf.readBvhFileAsJointMotion(
        'Data/wd2_spiral_walk_normal05.bvh', .01 * scale)

    viewer = ysv.SimpleViewer()
    viewer.record(False)
    viewer.doc.addRenderer(
        'motion0', yr.JointMotionRenderer(motion0, (255, 0, 0), yr.LINK_BONE))
    viewer.doc.addRenderer(
        'motion1', yr.JointMotionRenderer(motion1, (0, 0, 255), yr.LINK_BONE))
    viewer.doc.addRenderer(
Пример #24
0
    def _createBody(self, joint, parentT, posture):
        T = parentT

        P = mm.TransVToSE3(joint.offset)
        T = numpy.dot(T, P)

        #        R = mm.SO3ToSE3(posture.localRMap[joint.name])
        R = mm.SO3ToSE3(posture.localRs[posture.skeleton.getElementIndex(
            joint.name)])
        T = numpy.dot(T, R)

        if len(joint.children) > 0 and joint.name in self.config.nodes:
            offset = numpy.array([0., 0., 0.])
            for childJoint in joint.children:
                offset += childJoint.offset
            offset = offset / len(joint.children)

            boneT = mm.TransVToSE3(offset / 2.)

            defaultBoneV = numpy.array([0, 0, 1])
            boneR = mm.getSO3FromVectors(defaultBoneV, offset)
            self.boneRs[joint.name] = boneR
            boneT = numpy.dot(boneT, mm.SO3ToSE3(boneR))

            node = OdeModel.Node(joint.name)
            self.nodes[joint.name] = node

            node.body = ode.Body(self.world)
            mass = ode.Mass()

            cfgNode = self.config.getNode(joint.name)
            if cfgNode.length:
                length = cfgNode.length * cfgNode.boneRatio
            else:
                length = mm.length(offset) * cfgNode.boneRatio

            if cfgNode.width:
                width = cfgNode.width
                if cfgNode.mass:
                    height = (cfgNode.mass /
                              (cfgNode.density * length)) / width
                else:
                    height = .1
            else:
                if cfgNode.mass:
                    width = (cfgNode.mass / (cfgNode.density * length))**.5
                else:
                    width = .1
                height = width

            node.geom = ode.GeomBox(self.space, (width, height, length))
            node.geom.name = joint.name
            mass.setBox(cfgNode.density, width, height, length)

            boneT = numpy.dot(boneT, mm.TransVToSE3(cfgNode.offset))
            self.boneTs[joint.name] = boneT
            newT = numpy.dot(T, boneT)

            p = mm.SE3ToTransV(newT)
            r = mm.SE3ToSO3(newT)
            node.geom.setBody(node.body)
            node.body.setMass(mass)
            node.body.setPosition(p)
            node.body.setRotation(mm.SO3ToOdeSO3(r))

        for childJoint in joint.children:
            self._createBody(childJoint, T, posture)
    def simulateCallback(frame):
        # seginfo
        segIndex = seg_index[0]
        curState = seginfo[segIndex]['state']
        curInterval = yma.offsetInterval(acc_offset[0], seginfo[segIndex]['interval'])
        stanceLegs = seginfo[segIndex]['stanceHips']
        swingLegs = seginfo[segIndex]['swingHips']
        stanceFoots = seginfo[segIndex]['stanceFoots']
        swingFoots = seginfo[segIndex]['swingFoots']
        swingKnees = seginfo[segIndex]['swingKnees']
        groundHeight = seginfo[segIndex]['ground_height']
        maxStfPushFrame = seginfo[segIndex]['max_stf_push_frame']
        
        prev_frame = frame-1 if frame>0 else 0
#        prev_frame = frame
        
        # information
#        dCM_tar = yrp.getCM(motion_seg.getJointVelocitiesGlobal(frame), bodyMasses, upperMass, uppers)
#        CM_tar = yrp.getCM(motion_seg.getJointPositionsGlobal(frame), bodyMasses, upperMass, uppers)
##        dCM_tar = yrp.getCM(motion_seg.getJointVelocitiesGlobal(frame), bodyMasses, totalMass)
##        CM_tar = yrp.getCM(motion_seg.getJointPositionsGlobal(frame), bodyMasses, totalMass)
#        stf_tar = motion_seg.getJointPositionGlobal(stanceFoots[0], frame)
#        CMr_tar = CM_tar - stf_tar

        dCM_tar = motion_seg.getJointVelocityGlobal(0, prev_frame)
        CM_tar = motion_seg.getJointPositionGlobal(0, prev_frame)
#        dCM_tar = yrp.getCM(motion_seg.getJointVelocitiesGlobal(prev_frame), bodyMasses, upperMass, uppers)
#        CM_tar = yrp.getCM(motion_seg.getJointPositionsGlobal(prev_frame), bodyMasses, upperMass, uppers)
#        dCM_tar = yrp.getCM(motion_seg.getJointVelocitiesGlobal(prev_frame), bodyMasses, totalMass)
#        CM_tar = yrp.getCM(motion_seg.getJointPositionsGlobal(prev_frame), bodyMasses, totalMass)
        stf_tar = motion_seg.getJointPositionGlobal(stanceFoots[0], prev_frame)
        CMr_tar = CM_tar - stf_tar
            
        dCM = avg_dCM[0]
        CM = controlModel.getJointPositionGlobal(0)
#        CM = yrp.getCM(controlModel.getJointPositionsGlobal(), bodyMasses, upperMass, uppers)
#        CM = yrp.getCM(controlModel.getJointPositionsGlobal(), bodyMasses, totalMass)
        CMreal = yrp.getCM(controlModel.getJointPositionsGlobal(), bodyMasses, totalMass)
        stf = controlModel.getJointPositionGlobal(stanceFoots[0])
        CMr = CM - stf
        
        diff_dCM = mm.projectionOnPlane(dCM-dCM_tar, (1,0,0), (0,0,1))
        diff_dCM_axis = np.cross((0,1,0), diff_dCM)
        rd_vec1[0] = diff_dCM; rd_vecori1[0] = CM_tar
        
        diff_CMr = mm.projectionOnPlane(CMr-CMr_tar, (1,0,0), (0,0,1))
#        rd_vec1[0] = diff_CMr; rd_vecori1[0] = stf_tar
        diff_CMr_axis = np.cross((0,1,0), diff_CMr)
        
        direction = mm.normalize2(mm.projectionOnPlane(dCM_tar, (1,0,0), (0,0,1)))
#        direction = mm.normalize2(mm.projectionOnPlane(dCM, (1,0,0), (0,0,1)))
        directionAxis = np.cross((0,1,0), direction)
        
        diff_dCM_sag, diff_dCM_cor = mm.projectionOnVector2(diff_dCM, direction)
#        rd_vec1[0] = diff_dCM_sag; rd_vecori1[0] = CM_tar
        diff_dCM_sag_axis = np.cross((0,1,0), diff_dCM_sag)
        diff_dCM_cor_axis = np.cross((0,1,0), diff_dCM_cor)
            
        diff_CMr_sag, diff_CMr_cor = mm.projectionOnVector2(diff_CMr, direction)
        diff_CMr_sag_axis = np.cross((0,1,0), diff_CMr_sag)
        diff_CMr_cor_axis = np.cross((0,1,0), diff_CMr_cor)
            
        t = (frame-curInterval[0])/float(curInterval[1]-curInterval[0])
        t_raw = t
        if t>1.: t=1.
        
        
        p_root = motion_stitch[frame].getJointPositionGlobal(0)
        R_root = motion_stitch[frame].getJointOrientationGlobal(0)

        motion_seg_orig.goToFrame(frame)
        motion_seg.goToFrame(frame)
        motion_stitch.goToFrame(frame)
        
        motion_debug1.append(motion_stitch[frame].copy())
        motion_debug1.goToFrame(frame)
        motion_debug2.append(motion_stitch[frame].copy())
        motion_debug2.goToFrame(frame)
        motion_debug3.append(motion_stitch[frame].copy())
        motion_debug3.goToFrame(frame)
        
        # paper implementation
        M_tc.append(motion_stitch[prev_frame])
        M_tc.goToFrame(frame)
        P_hat.append(M_tc[frame].copy())
        P_hat.goToFrame(frame)
        
        p_temp = ym.JointPosture(skeleton)
        p_temp.rootPos = controlModel.getJointPositionGlobal(0)
        p_temp.setJointOrientationsLocal(controlModel.getJointOrientationsLocal())
        P.append(p_temp)
        P.goToFrame(frame)
        
        # stance foot stabilize
        motion_stf_stabilize.append(motion_stitch[frame].copy())
        motion_stf_stabilize.goToFrame(frame)
        if STANCE_FOOT_STABILIZE:
            for stanceFoot in stanceFoots:
                R_target_foot = motion_seg[frame].getJointOrientationGlobal(stanceFoot)
                R_current_foot = motion_stf_stabilize[frame].getJointOrientationGlobal(stanceFoot)
                motion_stf_stabilize[frame].setJointOrientationGlobal(stanceFoot, cm.slerp(R_current_foot, R_target_foot , stf_stabilize_func(t)))
#                R_target_foot = motion_seg[frame].getJointOrientationLocal(stanceFoot)
#                R_current_foot = motion_stf_stabilize[frame].getJointOrientationLocal(stanceFoot)
#                motion_stf_stabilize[frame].setJointOrientationLocal(stanceFoot, cm.slerp(R_current_foot, R_target_foot , stf_stabilize_func(t)))

        # match stance leg 
        motion_match_stl.append(motion_stf_stabilize[frame].copy())
        motion_match_stl.goToFrame(frame)
        if MATCH_STANCE_LEG:
            if curState!=yba.GaitState.STOP:
                for i in range(len(stanceLegs)):
                    stanceLeg = stanceLegs[i]
                    stanceFoot = stanceFoots[i]
                    
#                    # motion stance leg -> character stance leg as time goes
                    R_motion = motion_match_stl[frame].getJointOrientationGlobal(stanceLeg)
                    R_character = controlModel.getJointOrientationGlobal(stanceLeg)
                    motion_match_stl[frame].setJointOrientationGlobal(stanceLeg, cm.slerp(R_motion, R_character, match_stl_func(t)))

#                    t_y = match_stl_func_y(t)
#                    t_xz = match_stl_func(t)
#                    
#                    R_motion = motion_match_stl[frame].getJointOrientationGlobal(stanceLeg)
#                    R_character = controlModel.getJointOrientationGlobal(stanceLeg)
#                    R = np.dot(R_character, R_motion.T)
#                    R_y, R_xz = mm.projectRotation((0,1,0), R)
#                    motion_match_stl[frame].mulJointOrientationGlobal(stanceLeg, mm.scaleSO3(R_xz, t_xz))
#                    motion_match_stl[frame].mulJointOrientationGlobal(stanceLeg, mm.scaleSO3(R_y, t_y))

        # swing foot placement
        motion_swf_placement.append(motion_match_stl[frame].copy())
        motion_swf_placement.goToFrame(frame)
        if SWING_FOOT_PLACEMENT:
            t_swing_foot_placement = swf_placement_func(t);
            
            if extended[0]:
                R_swp_sag = prev_R_swp[0][0]
                R_swp_cor = prev_R_swp[0][1]
            else:
                R_swp_sag = mm.I_SO3(); R_swp_cor = mm.I_SO3()
                R_swp_sag = np.dot(R_swp_sag, mm.exp(diff_dCM_sag_axis * K_swp_vel_sag * -t_swing_foot_placement))
                R_swp_cor = np.dot(R_swp_cor, mm.exp(diff_dCM_cor_axis * K_swp_vel_cor * -t_swing_foot_placement))
                if np.dot(direction, diff_CMr_sag) < 0:
                    R_swp_sag = np.dot(R_swp_sag, mm.exp(diff_CMr_sag_axis * K_swp_pos_sag * -t_swing_foot_placement))
                R_swp_cor = np.dot(R_swp_cor, mm.exp(diff_CMr_cor_axis * K_swp_pos_cor * -t_swing_foot_placement))

            for i in range(len(swingLegs)):
                swingLeg = swingLegs[i]
                swingFoot = swingFoots[i] 
                
                # save swing foot global orientation
#                R_swf = motion_swf_placement[frame].getJointOrientationGlobal(swingFoot)
                
                # rotate swing leg
                motion_swf_placement[frame].mulJointOrientationGlobal(swingLeg, R_swp_sag)
                motion_swf_placement[frame].mulJointOrientationGlobal(swingLeg, R_swp_cor)
                
                # restore swing foot global orientation
#                motion_swf_placement[frame].setJointOrientationGlobal(swingFoot, R_swf)
                
                prev_R_swp[0] = (R_swp_sag, R_swp_cor)

        # swing foot height
        motion_swf_height.append(motion_swf_placement[frame].copy())
        motion_swf_height.goToFrame(frame)
        if SWING_FOOT_HEIGHT:
            for swingFoot in swingFoots:
                stanceFoot = stanceFoots[0]

                # save foot global orientation
                R_foot = motion_swf_height[frame].getJointOrientationGlobal(swingFoot)
                R_stance_foot = motion_swf_height[frame].getJointOrientationGlobal(stanceFoot)

                height_tar = motion_swf_height[frame].getJointPositionGlobal(swingFoot)[1] - motion_swf_height[frame].getJointPositionGlobal(stanceFoot)[1]
#                motion_debug1[frame] = motion_swf_height[frame].copy()

                # rotate
                motion_swf_height[frame].rotateByTarget(controlModel.getJointOrientationGlobal(0))
#                motion_debug2[frame] = motion_swf_height[frame].copy()
#                motion_debug2[frame].translateByTarget(controlModel.getJointPositionGlobal(0))

                height_cur = motion_swf_height[frame].getJointPositionGlobal(swingFoot)[1] - motion_swf_height[frame].getJointPositionGlobal(stanceFoot)[1]

                offset_height = (height_tar - height_cur) * swf_height_func(t) * c_swf_stability
                offset_sine = c_swf_mid_offset * swf_height_sine_func(t)
                
                offset = 0.
                offset += offset_height
                offset += offset_sine

                if offset > 0.:
                    newPosition =  motion_swf_height[frame].getJointPositionGlobal(swingFoot)
                    newPosition[1] += offset
                    aik.ik_analytic(motion_swf_height[frame], swingFoot, newPosition)
                else:
                    newPosition =  motion_swf_height[frame].getJointPositionGlobal(stanceFoot)
                    newPosition[1] -= offset
                    aik.ik_analytic(motion_swf_height[frame], stanceFoot, newPosition)

                # return
#                motion_debug3[frame] = motion_swf_height[frame].copy()
#                motion_debug3[frame].translateByTarget(controlModel.getJointPositionGlobal(0))
                motion_swf_height[frame].rotateByTarget(R_root)
                
                # restore foot global orientation
                motion_swf_height[frame].setJointOrientationGlobal(swingFoot, R_foot)
                motion_swf_height[frame].setJointOrientationGlobal(stanceFoot, R_stance_foot)

                if plot!=None:
                    plot.addDataPoint('debug1', frame, height_tar)
                    plot.addDataPoint('debug2', frame, height_cur)
#                    plot.addDataPoint('diff', frame, diff)

        # swing foot orientation
        motion_swf_orientation.append(motion_swf_height[frame].copy())
        motion_swf_orientation.goToFrame(frame)
        if SWING_FOOT_ORIENTATION:
#    swf_orientation_func = yfg.concatenate([yfg.zero, yfg.hermite2nd, yfg.one], [.25, .75])
            for swingFoot in swingFoots:
                R_target_foot = motion_seg[curInterval[1]].getJointOrientationGlobal(swingFoot)
                R_current_foot = motion_swf_orientation[frame].getJointOrientationGlobal(swingFoot)
                motion_swf_orientation[frame].setJointOrientationGlobal(swingFoot, cm.slerp(R_current_foot, R_target_foot, swf_orientation_func(t)))
#    swf_stabilize_func = yfg.concatenate([yfg.hermite2nd, yfg.one], [c_taking_duration])
            # push orientation
#            for swingFoot in swingFoots:
#                R_target_foot = motion_seg[frame].getJointOrientationGlobal(swingFoot)
#                R_current_foot = motion_swf_orientation[frame].getJointOrientationGlobal(swingFoot)
#                motion_swf_orientation[frame].setJointOrientationGlobal(swingFoot, cm.slerp(R_current_foot, R_target_foot , swf_stabilize_func(t)))
            
        # stance foot push                
        motion_stf_push.append(motion_swf_orientation[frame].copy())
        motion_stf_push.goToFrame(frame)
        if STANCE_FOOT_PUSH:
            for swingFoot in swingFoots:
#                max_t = (maxStfPushFrame)/float(curInterval[1]-curInterval[0])
#                stf_push_func = yfg.concatenate([yfg.sine, yfg.zero], [max_t*2])
                stf_push_func = yfg.concatenate([yfg.sine, yfg.zero], [c_taking_duration*2])
                
                R_swp_sag = mm.I_SO3()
#                R_swp_sag = np.dot(R_swp_sag, mm.exp(diff_dCM_sag_axis * K_stp_vel * -stf_push_func(t)))
                
#                if step_length_cur[0] < step_length_tar[0]:
#                    ratio = step_length_cur[0] / step_length_tar[0]
#                    R_max = maxmaxStfPushFrame
#                    R_zero = 
                R_swp_sag = np.dot(R_swp_sag, mm.exp((step_length_tar[0] - step_length_cur[0])*step_axis[0] * K_stp_pos * -stf_push_func(t)))
                    
                motion_stf_push[frame].mulJointOrientationGlobal(swingFoot, R_swp_sag)
                
        # stance foot balancing 
        motion_stf_balancing.append(motion_stf_push[frame].copy())
        motion_stf_balancing.goToFrame(frame)
        if STANCE_FOOT_BALANCING:
            R_stb = mm.exp(diff_dCM_axis * K_stb_vel * stf_balancing_func(t))
            for stanceFoot in stanceFoots:
                if frame < 5: continue
                motion_stf_balancing[frame].mulJointOrientationGlobal(stanceFoot, R_stb)
                    
        # control trajectory
        motion_control.append(motion_stf_balancing[frame].copy())
        motion_control.goToFrame(frame)
        
        #=======================================================================
        # tracking with inverse dynamics
        #=======================================================================
        th_r = motion_control.getDOFPositions(frame)
        th = controlModel.getDOFPositions()
        dth_r = motion_control.getDOFVelocities(frame)
        dth = controlModel.getDOFVelocities()
        ddth_r = motion_control.getDOFAccelerations(frame)
        ddth_des = yct.getDesiredDOFAccelerations(th_r, th, dth_r, dth, ddth_r, Kt, Dt)

        #=======================================================================
        # simulation
        #=======================================================================
        CP = mm.v3(0.,0.,0.)
        F = mm.v3(0.,0.,0.)
        avg_dCM[0] = mm.v3(0.,0.,0.)
        
        # external force rendering info
        del rd_forces[:]; del rd_force_points[:]
        for fi in forceInfos:
            if fi.startFrame <= frame and frame < fi.startFrame + fi.duration*(1/frameTime):
                rd_forces.append(fi.force)
                rd_force_points.append(controlModel.getBodyPositionGlobal(fi.targetBody))
                    
        for i in range(stepsPerFrame):
            
            bodyIDs, contactPositions, contactPositionLocals, contactForces = vpWorld.calcPenaltyForce(bodyIDsToCheck, mus, Ks, Ds)
            vpWorld.applyPenaltyForce(bodyIDs, contactPositionLocals, contactForces)
            
            # apply external force
            for fi in forceInfos:
                if fi.startFrame <= frame and frame < fi.startFrame + fi.duration*(1/frameTime):
                    controlModel.applyBodyForceGlobal(fi.targetBody, fi.force)
            
            controlModel.setDOFAccelerations(ddth_des)
            controlModel.solveHybridDynamics()
            
            if TORQUE_PLOT:
                rhip_torques[frame] += mm.length(controlModel.getJointTorqueLocal(rUpLeg))
                rknee_torques[frame] += mm.length(controlModel.getJointTorqueLocal(rKnee))
                rankle_torques[frame] += mm.length(controlModel.getJointTorqueLocal(rFoot))
            
            rd_torques[:] = [controlModel.getJointTorqueLocal(i)/100. for i in range(skeleton.getJointNum())]
            rd_joint_positions[:] = controlModel.getJointPositionsGlobal()
        
            vpWorld.step()
#            yvu.align2D(controlModel)

            if len(contactForces) > 0:
                CP += yrp.getCP(contactPositions, contactForces)
                F += sum(contactForces)
            avg_dCM[0] += controlModel.getJointVelocityGlobal(0)
#            avg_dCM[0] += yrp.getCM(controlModel.getJointVelocitiesGlobal(), bodyMasses, upperMass, uppers)
#            avg_dCM[0] += yrp.getCM(controlModel.getJointVelocitiesGlobal(), bodyMasses, totalMass)

#            if len(stanceFoots)>0:
#                avg_stf_v[0] += controlModel.getJointVelocityGlobal(stanceFoots[0])
#                avg_stf_av[0] += controlModel.getJointAngVelocityGlobal(stanceFoots[0])
        
        CP /= stepsPerFrame
        F /= stepsPerFrame
        avg_dCM[0] /= stepsPerFrame
        
#        if len(stanceFoots)>0:
#            avg_stf_v[0] /= stepsPerFrame
#            avg_stf_av[0] /= stepsPerFrame
#            rd_vec1[0] = avg_stf_av[0]; rd_vec1[0][0] = 0.; rd_vec1[0][2] = 0.
#            rd_vecori1[0]= controlModel.getJointPositionGlobal(stanceFoots[0])

        #=======================================================================
        # segment editing
        #=======================================================================
        lastFrame = False
        
        if SEGMENT_EDITING:
            if curState==yba.GaitState.STOP:
                if frame == len(motion_seg)-1:
                    lastFrame = True
                    
            elif (curState==yba.GaitState.LSWING or curState==yba.GaitState.RSWING) and t>c_min_contact_time:
                swingID = lID if curState==yba.GaitState.LSWING else rID

                contact = False
                if swingID in bodyIDs:
                    minContactVel = 1000.
                    for i in range(len(bodyIDs)):
                        if bodyIDs[i]==swingID:
                            vel = controlModel.getBodyVelocityGlobal(swingID, contactPositionLocals[i])
                            vel[1] = 0
                            contactVel = mm.length(vel)
                            if contactVel < minContactVel: minContactVel = contactVel 
                    if minContactVel < c_min_contact_vel: contact = True
                
                extended[0] = False
                
                if contact:
#                    print frame, 'foot touch'
                    lastFrame = True
                    acc_offset[0] += frame - curInterval[1]
                    
                elif frame == len(motion_seg)-1:
                    print frame, 'extend frame', frame+1
                    
                    preserveJoints = []
#                    preserveJoints = [lFoot, rFoot]
#                    preserveJoints = [lFoot, rFoot, lKnee, rKnee]
#                    preserveJoints = [lFoot, rFoot, lKnee, rKnee, lUpLeg, rUpLeg]
                    stanceKnees = [rKnee] if curState==yba.GaitState.LSWING else [lKnee]   
                    preserveJoints = [stanceFoots[0], stanceKnees[0], stanceLegs[0]]
   
                    diff = 3
                    motion_seg_orig.extend([motion_seg_orig[-1]])
                    motion_seg.extend(ymt.extendByIntegration_root(motion_seg, 1, diff))
                    
                    motion_stitch.extend(ymt.extendByIntegration_constant(motion_stitch, 1, preserveJoints, diff))

#                    # extend for swing foot ground speed matching & swing foot height lower
##                    extendedPostures = ymt.extendByIntegration(motion_stitch, 1, preserveJoints, diff)
##                    extendedPostures = [motion_stitch[-1]] 
##
#                    extendFrameNum = frame - curInterval[1] + 1
#                    k = 1.-extendFrameNum/5.
#                    if k<0.: k=0.
#                    extendedPostures = ymt.extendByIntegrationAttenuation(motion_stitch, 1, preserveJoints, diff, k)
#
##                    if len(swingFoots)>0 and np.inner(dCM_tar, dCM)>0.:
##                        print frame, 'speed matching'
##                        R_swf = motion_stitch[-1].getJointOrientationGlobal(swingFoots[0])
##                        
##                        p_swf = motion_stitch[-1].getJointPositionGlobal(swingFoots[0])
##                        v_swf = motion_stitch.getJointVelocityGlobal(swingFoots[0], frame-diff, frame)
##                        a_swf = motion_stitch.getJointAccelerationGlobal(swingFoots[0], frame-diff, frame)
##                        p_swf += v_swf * (frameTime) + a_swf * (frameTime)*(frameTime)
##                        aik.ik_analytic(extendedPostures[0], swingFoots[0], p_swf)
##                        
##                        extendedPostures[0].setJointOrientationGlobal(swingFoots[0], R_swf)
#
#                    motion_stitch.extend(extendedPostures)
                    
                    extended[0] = True
        else:
            if frame == len(motion_seg)-1: lastFrame = True
                    
        if lastFrame:
            if segIndex < len(segments)-1:
                print '%d (%d): end of %dth seg (%s, %s)'%(frame, frame-curInterval[1],segIndex, yba.GaitState.text[curState], curInterval)
                if plot!=None: plot.addDataPoint('diff', frame, (frame-curInterval[1])*.01)
                
                if len(stanceFoots)>0 and len(swingFoots)>0:
#                    step_cur = controlModel.getJointPositionGlobal(swingFoots[0]) - controlModel.getJointPositionGlobal(stanceFoots[0])
#                    step_tar = motion_seg[curInterval[1]].getJointPositionGlobal(swingFoots[0]) - motion_seg[curInterval[1]].getJointPositionGlobal(stanceFoots[0])
                    step_cur = controlModel.getJointPositionGlobal(0) - controlModel.getJointPositionGlobal(stanceFoots[0])
                    step_tar = motion_seg[curInterval[1]].getJointPositionGlobal(0) - motion_seg[curInterval[1]].getJointPositionGlobal(stanceFoots[0])
                    
                    step_cur = mm.projectionOnPlane(step_cur, (1,0,0), (0,0,1))
                    step_tar = mm.projectionOnPlane(step_tar, (1,0,0), (0,0,1))
                    
                    step_cur_sag, step_cur_cor = mm.projectionOnVector2(step_cur, direction)
                    step_tar_sag, step_tar_cor = mm.projectionOnVector2(step_tar, direction)
                    
                    step_length_tar[0] = mm.length(step_tar_sag)
                    if np.inner(step_tar_sag, step_cur_sag) > 0:
                        step_length_cur[0] = mm.length(step_cur_sag)
                    else:
                        step_length_cur[0] = -mm.length(step_cur_sag)
                    
                    step_axis[0] = directionAxis
                    
#                    rd_vec1[0] = step_tar_sag
#                    rd_vecori1[0] = motion_seg[curInterval[1]].getJointPositionGlobal(stanceFoots[0])
#                    rd_vec2[0] = step_cur_sag
#                    rd_vecori2[0] = controlModel.getJointPositionGlobal(stanceFoots[0])

                seg_index[0] += 1
                curSeg = segments[seg_index[0]]
                stl_y_limit_num[0] = 0
                stl_xz_limit_num[0] = 0
                
                del motion_seg_orig[frame+1:]
                motion_seg_orig.extend(ymb.getAttachedNextMotion(curSeg, motion_seg_orig[-1], False, False))
                
                del motion_seg[frame+1:]
                del motion_stitch[frame+1:]
                transitionLength = len(curSeg)-1

#                motion_seg.extend(ymb.getAttachedNextMotion(curSeg, motion_seg[-1], False, False))
#                motion_stitch.extend(ymb.getStitchedNextMotion(curSeg, motion_control[-1], transitionLength, stitch_func, True, False))

                d = motion_seg[-1] - curSeg[0]
                d.rootPos[1] = 0.
                motion_seg.extend(ymb.getAttachedNextMotion(curSeg, d, True, False))
                
                if NO_FOOT_SLIDING:
                    if segIndex == len(segments)-2:
                        Rl = motion_control[-1].getJointOrientationLocal(lUpLeg)
                        Rr = motion_control[-1].getJointOrientationLocal(rUpLeg)
                        Rlk = motion_control[-1].getJointOrientationLocal(lKnee)
                        Rrk = motion_control[-1].getJointOrientationLocal(rKnee)
                        Rlf = motion_control[-1].getJointOrientationLocal(lFoot)
                        Rrf = motion_control[-1].getJointOrientationLocal(rFoot)
                        for p in curSeg:
                            p.setJointOrientationLocal(lUpLeg, Rl, False)
                            p.setJointOrientationLocal(rUpLeg, Rr, False)
                            p.setJointOrientationLocal(lKnee, Rlk, False)
                            p.setJointOrientationLocal(rKnee, Rrk, False)
                            p.setJointOrientationLocal(lFoot, Rlf, False)
                            p.setJointOrientationLocal(rFoot, Rrf, False)
                            p.updateGlobalT()                
                d = motion_control[-1] - curSeg[0]
                d.rootPos[1] = 0.
                motion_stitch.extend(ymb.getStitchedNextMotion(curSeg, d, transitionLength, stitch_func, True, False))
                
#                motion_seg.extend(ymb.getAttachedNextMotion(curSeg, motion_seg[-1], False, True))
#                motion_stitch.extend(ymb.getStitchedNextMotion(curSeg, motion_control[-1], transitionLength, stitch_func, True, True))
            else:
                motion_seg_orig.append(motion_seg_orig[-1])
                motion_seg.append(motion_seg[-1])
                motion_stitch.append(motion_control[-1])
                
                
        # rendering
        motionModel.update(motion_ori[frame])
#        motionModel.update(motion_seg[frame])
        
        if SAVE_SIMULATION:
            p_temp = ym.JointPosture(skeleton)
            p_temp.initLocalRs()
            p_temp.rootPos = controlModel.getJointPositionGlobal(0)
            p_temp.setJointOrientationsLocal(controlModel.getJointOrientationsLocal())
            motion_simulation.append(p_temp)
            
            if frame == viewer.getMaxFrame():
                saveFilePath = SAVE_DIR+'simulated_'+filename
                yf.writeBvhFile(saveFilePath, motion_simulation)
                print saveFilePath, 'saved'
Пример #26
0
    def simulateCallback(frame):

        curTime = time.time()

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

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

        #motionModel.update(motion[0])

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

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

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

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

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

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

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

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

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

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

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

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

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

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

        solveIK(CM_IK_ref, IKidxs, IKdesPos, IKdesOri)

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

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

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

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

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

        ype.flatten(ddth_c, ddth_c_flat)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

        totalNormalForce = [0, 0, 0]

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

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

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

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

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

        # angular momentum
        CP_ref = footCenter + footCenterOffset

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

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

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

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

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

        trackingW = w

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

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

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

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

        a_sup_2 = None
        Jsup_2 = None
        dJsup_2 = None

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

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

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

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

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

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

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

            vpWorld.applyPenaltyForce(bodyIDs, contactPositionLocals,
                                      contactForces)

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

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

            controlModel.setDOFAccelerations(ddth_sol)

            controlModel.solveHybridDynamics()

            vpWorld.step()

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

        rd_footCenter[0] = footCenter

        rd_CM[0] = CM.copy()

        rd_CM_plane[0] = CM_plane.copy()

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

        #rd_CM_plane[0][1] = 0.

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

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

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

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

        rd_CMP[0] = softConstPoint

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

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

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

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

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

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

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

        timeReport[6] += time.time() - curTime
def ik_analytic(posture, joint_name_or_index, new_position):
    if isinstance(joint_name_or_index, int):
        joint = joint_name_or_index
    else:
        joint = posture.skeleton.getJointIndex(joint_name_or_index)

#    joint_parent = posture.body.joint_parent[joint]
#    joint_parent_parent = posture.body.joint_parent[joint_parent]
    joint_parent = posture.skeleton.getParentJointIndex(joint)
    joint_parent_parent = posture.skeleton.getParentJointIndex(joint_parent)

    #    B = posture.get_position(joint)
    #    C = posture.get_position(joint_parent)
    #    A = posture.get_position(joint_parent_parent)
    B = posture.getJointPositionGlobal(joint)
    C = posture.getJointPositionGlobal(joint_parent)
    A = posture.getJointPositionGlobal(joint_parent_parent)

    L = B - A
    N = B - C
    M = C - A

    #    l = mathlib.length(L);
    #    n = mathlib.length(N);
    #    m = mathlib.length(M);
    l = mm.length(L)
    n = mm.length(N)
    m = mm.length(M)

    #    a = mathlib.ACOS((l*l + n*n - m*m) / (2*l*n))
    #    b = mathlib.ACOS((l*l + m*m - n*n) / (2*l*m))
    a = mm.ACOS((l * l + n * n - m * m) / (2 * l * n))
    b = mm.ACOS((l * l + m * m - n * n) / (2 * l * m))

    B_new = new_position
    L_new = B_new - A

    #    l_ = mathlib.length(L_new)
    l_ = mm.length(L_new)

    #    a_ = mathlib.ACOS((l_*l_ + n*n - m*m) / (2*l_*n))
    #    b_ = mathlib.ACOS((l_*l_ + m*m - n*n) / (2*l_*m))
    a_ = mm.ACOS((l_ * l_ + n * n - m * m) / (2 * l_ * n))
    b_ = mm.ACOS((l_ * l_ + m * m - n * n) / (2 * l_ * m))

    # rotate joint in plane
    #    rotV = mathlib.normalize(numpy.cross(M, L))
    rotV = mm.normalize2(np.cross(M, L))
    rotb = b - b_
    rota = a_ - a - rotb
    #    posture.rotate_global_orientation(joint_parent_parent, mathlib.exp(rotV, rotb))
    #    posture.rotate_global_orientation(joint_parent, mathlib.exp(rotV * rota))
    posture.mulJointOrientationGlobal(joint_parent_parent, mm.exp(rotV, rotb))
    posture.mulJointOrientationGlobal(joint_parent, mm.exp(rotV * rota))

    # rotate plane
    #    rotV2 = mathlib.normalize(numpy.cross(L, L_new))
    #    l_new = mathlib.length(L_new)
    #    l_diff = mathlib.length(L_new - L)
    #    rot2 = mathlib.ACOS((l_new * l_new + l * l - l_diff * l_diff) / (2 * l_new * l))
    #    posture.rotate_global_orientation(joint_parent_parent, mathlib.exp(rotV2, rot2))
    rotV2 = mm.normalize2(np.cross(L, L_new))
    l_new = mm.length(L_new)
    l_diff = mm.length(L_new - L)
    rot2 = mm.ACOS((l_new * l_new + l * l - l_diff * l_diff) / (2 * l_new * l))
    posture.mulJointOrientationGlobal(joint_parent_parent, mm.exp(rotV2, rot2))

    return posture
    def _renderJoint(self, joint, posture):
        glPushMatrix()
        glTranslatef(joint.offset[0], joint.offset[1], joint.offset[2])
        #        glMultMatrixf(mm.R2T(posture.localRMap[joint.name]).transpose())
        glMultMatrixf(
            mm.R2T(posture.localRs[posture.skeleton.getElementIndex(
                joint.name)]).transpose())

        #        if joint.name in self.partColors:
        #            color = self.partColors[joint.name]
        #        else:
        #            color = self.totalColor

        if joint == self.selectedElement:
            glColor3ubv(SELECTION_COLOR)
            ygh.beginDraw()
            ygh.drawCoordinate()
            ygh.endDraw()

        # 1


#        ygh.drawPoint((0,0,0), color)

        if self.linkStyle == LINK_LINE:
            self.rc.drawPoint((0, 0, 0))
            for childJoint in joint.children:
                self.rc.drawLine((0, 0, 0), childJoint.offset)

        elif self.linkStyle == LINK_BONE:
            #            self.rc.drawPoint((0,0,0))
            self.rc.drawLine((-.05, 0, 0), (.05, 0, 0))
            for childJoint in joint.children:
                self.rc.drawLine((0, 0, 0), childJoint.offset)

        elif self.linkStyle == LINK_SOLIDBOX or self.linkStyle == LINK_WIREBOX:
            if len(joint.children) > 0:
                glPushMatrix()

                offset = numpy.array([0., 0., 0.])
                for childJoint in joint.children:
                    offset += childJoint.offset
                offset = offset / len(joint.children)

                defaultBoneV = numpy.array([0, 0, mm.length(offset)])
                boneT = mm.R2T(mm.getSO3FromVectors(defaultBoneV, offset))
                glMultMatrixf(boneT.transpose())

                glTranslatef(-.05, -.05, 0)
                #                ygh.beginDraw()
                #                ygh.drawCoordinate()
                #                ygh.endDraw()

                self.rc.drawBox(.1, .1, mm.length(offset))
                glPopMatrix()

        if joint == self.selectedElement:
            glColor3ubv(self.totalColor)

        for childJoint in joint.children:
            self._renderJoint(childJoint, posture)
        glPopMatrix()
Пример #29
0
    def simulateCallback(frame):
        global g_initFlag
        global forceShowFrame
        global forceApplyFrame
        global JsysPre
        global JsupPreL
        global JsupPreR
        global JsupPre
        global softConstPoint
        global stage
        global contactRendererName

        motionModel.update(motion[frame])

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

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

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

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

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

        ype.flatten(ddth_c, ddth_c_flat)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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


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

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

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

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

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

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

        if footPartNum == 1:
            desFCL = (controlModel.getBodyPositionGlobal(supL))
            desFCR = (controlModel.getBodyPositionGlobal(supR))
        else:
            r = 1.
            desFCL = (controlModel.getBodyPositionGlobal(supL) * r +
                      controlModel.getBodyPositionGlobal(indexFootL[2]) *
                      (1.0 - r)
                      )  #controlModel.getBodyPositionGlobal(indexFootL[1])
            desFCR = (controlModel.getBodyPositionGlobal(supR) * r +
                      controlModel.getBodyPositionGlobal(indexFootR[2]) *
                      (1.0 - r)
                      )  #controlModel.getBodyPositionGlobal(indexFootR[1])
        desFC = desFCL + (desFCR - desFCL) / 2.0

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

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

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

        vecRatio = mm.length(curRelCMVec) * 10.
        softConstPointOffset = -curRelCMVec * (vecRatio)  #/10.0
        #print(frame, vecRatio, softConstPointOffset)

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

        totalNormalForce = [0, 0, 0]

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

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

        # angular momentum
        CP_ref = footCenter

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

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

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

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

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

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

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

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

        yjc.computeJacobian2(Jconst, DOFs, jointPositions, jointAxeses,
                             [P_cur], constJointMasks)
        JL, JA = np.vsplit(Jconst, 2)
        Q1 = np.dot(Z, Jconst)

        q1 = np.dot(JA, dth_flat)
        q2 = np.dot(mm.getCrossMatrixForm(q1),
                    np.dot(mm.getCrossMatrixForm(q1), r))

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

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

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

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

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

        trackingW = w

        if stage == MOTION_TRACKING:
            trackingW = w2
            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:
                mot.addLinearTerms(problem, totalDOF, Bl, dL_des_plane, R,
                                   r_bias)
                mot.addAngularTerms(problem, totalDOF, Bh, dH_des, S, s_bias)

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

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

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

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

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

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

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

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

            Jsup_2 = np.vstack((jFootL[idx], jFootR[idx]))
            dJsup_2 = np.vstack((dJFootL[idx], dJFootR[idx]))
            '''
            idx = 0
            desAngularAccL = getDesFootAngularAcc(motionModel, controlModel, indexFootL[idx], Kk2, Dk2)
            desAngularAccR = getDesFootAngularAcc(motionModel, controlModel, indexFootR[idx], Kk2, Dk2)
        
            a_sup_2 = np.hstack(( desAngularAccL, desAngularAccR)) 
            Jsup_2 = np.vstack((jAngFootL[idx], jAngFootR[idx]))
            dJsup_2 = np.vstack((dJAngFootL[idx], dJAngFootR[idx]))
            '''

            rd_DesPosL[0] = desPosL.copy()
            rd_DesPosR[0] = desPosR.copy()
        else:
            if footPartNum == 5:
                idx = 3
                desAngularAccL = getDesFootAngularAcc(motionModel,
                                                      controlModel,
                                                      indexFootL[idx], Kk2,
                                                      Dk2)
                desAngularAccR = getDesFootAngularAcc(motionModel,
                                                      controlModel,
                                                      indexFootR[idx], Kk2,
                                                      Dk2)

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

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

                idx = 4
                desAngularAccL = getDesFootAngularAcc(motionModel,
                                                      controlModel,
                                                      indexFootL[idx], Kk2,
                                                      Dk2)
                desAngularAccR = getDesFootAngularAcc(motionModel,
                                                      controlModel,
                                                      indexFootR[idx], Kk2,
                                                      Dk2)

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

                Jsup_2 = np.vstack(
                    (Jsup_2, np.vstack((jAngFootL[idx], jAngFootR[idx]))))
                dJsup_2 = np.vstack(
                    (dJsup_2, np.vstack((dJAngFootL[idx], dJAngFootR[idx]))))
            else:
                idx = 1
                desAngularAccL = getDesFootAngularAcc(motionModel,
                                                      controlModel,
                                                      indexFootL[idx], Kk2,
                                                      Dk2)
                desAngularAccR = getDesFootAngularAcc(motionModel,
                                                      controlModel,
                                                      indexFootR[idx], Kk2,
                                                      Dk2)

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

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

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

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

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

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

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

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

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

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

            vpWorld.applyPenaltyForce(bodyIDs, contactPositionLocals,
                                      contactForces)

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

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

            controlModel.setDOFAccelerations(ddth_sol)

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

        # rendering

        rd_footCenter[0] = footCenter

        rd_CM[0] = CM.copy()

        rd_CM_plane[0] = CM_plane.copy()

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

        #rd_CM_plane[0][1] = 0.

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

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

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

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

        rd_CMP[0] = softConstPoint

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

        if (forceApplyFrame == 0):
            applyedExtraForce[0] = [0, 0, 0]
Пример #30
0
        def PDControl(frame):
            #            global deg1[0], J1, J2, M1, M2

            #        scalar Kp = 1000.;
            #        scalar Kd = 100.;
            Kp = 100.
            Kd = 2.

            #        SE3 desiredOri1 = Exp(Axis(axis1), scalar(deg1[0] * M_RADIAN));
            #        SE3 desiredOri2 = Exp(Axis(axis2), scalar(deg2 * M_RADIAN));
            desiredOri1 = mm.exp(axis1, deg1[0] * M_RADIAN)
            #        desiredOri2 = mm.exp(axis2, deg2 * M_RADIAN)

            #        se3 log1= Log(J1.GetOrientation() % desiredOri1);
            #        se3 log2= Log(J2.GetOrientation() % desiredOri2);
            parent1 = J1.getBody(0)
            child1 = J1.getBody(1)

            parent1_desired_SO3 = mm.exp((0, 0, 0), 0)
            child1_desired_SO3 = desiredOri1
            #        child1_desired_SO3 = parent1_desired_SO3

            parent1_body_SO3 = mm.odeSO3ToSO3(parent1.getRotation())
            child1_body_SO3 = mm.odeSO3ToSO3(child1.getRotation())

            #        init_ori = (mm.exp((1,0,0),math.pi/2))
            #        child1_body_SO3 = numpy.dot(mm.odeSO3ToSO3(child1.getRotation()), init_ori.transpose())

            align_SO3 = numpy.dot(parent1_body_SO3,
                                  parent1_desired_SO3.transpose())
            child1_desired_SO3 = numpy.dot(align_SO3, child1_desired_SO3)

            diff_rot = mm.logSO3(
                numpy.dot(child1_desired_SO3, child1_body_SO3.transpose()))
            #        print diff_rot

            parent_angleRate = parent1.getAngularVel()
            child_angleRate = child1.getAngularVel()
            #        print child_angleRate
            angleRate = numpy.array([
                -parent_angleRate[0] + child_angleRate[0],
                -parent_angleRate[1] + child_angleRate[1],
                -parent_angleRate[2] + child_angleRate[2]
            ])

            #        torque1 = Kp*diff_rot - Kd*angleRate
            #        print torque1

            #        J1_ori =
            #        log1 = mm.logSO3_tuple(numpy.dot(desiredOri1 ,J1.GetOrientation().transpose()))
            #        log2 = mm.logSO3_tuple(numpy.dot(desiredOri1 ,J1.GetOrientation().transpose()))

            #        Vec3 torque1 = Kp*(Vec3(log1[0],log1[1],log1[2])) - Kd*J1.GetVelocity();
            #        Vec3 torque2 = Kp*(Vec3(log2[0],log2[1],log2[2])) - Kd*J2.GetVelocity();
            M1.setAxis(0, 0, diff_rot)
            M1.setAxis(1, 0, angleRate)
            #        M2.setAxis(0,0,torque1)

            ##        J1.SetTorque(torque1);
            ##        J2.SetTorque(torque2);
            M1.addTorques(-Kp * mm.length(diff_rot), 0, 0)
            M1.addTorques(0, Kd * mm.length(angleRate), 0)
Пример #31
0
def main():

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

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

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

    motionOriModel = cvm.VpMotionModel(vpWorld, motion[0], mcfg)

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

    footPartNum = config['FootPartNum']

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

        springBody1 = 5
        springBody2 = 6
        springBody1Pos = motionModel.getBodyPositionGlobal(
            motion[0].skeleton.getJointIndex(config['FootLPart'][springBody1]))
        springBody2Pos = motionModel.getBodyPositionGlobal(
            motion[0].skeleton.getJointIndex(config['FootLPart'][springBody2]))

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

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

    vpWorld.initialize()
    controlModel.initializeHybridDynamics()

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    #print(comUpperJointMasks)

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

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

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

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

    dth_IK = ype.makeNestedList(DOFs)

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

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

    rd_root = [None]

    rd_footL_vec = [None]
    rd_footR_vec = [None]

    rd_CMP = [None]

    rd_DesPosL = [None]
    rd_DesPosR = [None]

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

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

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

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

    normalVector = [[0, 2, 0]]

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

    else:
        viewer = ysv.SimpleViewer()
        #    viewer.record(False)
        #    viewer.doc.addRenderer('motion', yr.JointMotionRenderer(motion, (0,255,255), yr.LINK_BONE))
        viewer.doc.addObject('motion', motion)
        viewer.doc.addRenderer(
            'motionModel',
            cvr.VpModelRenderer(motionModel, (100, 100, 100),
                                yr.POLYGON_FILL))  #(150,150,255)
        viewer.doc.addRenderer(
            'controlModel',
            cvr.VpModelRenderer(controlModel, CHARACTER_COLOR,
                                yr.POLYGON_FILL))
        #viewer.doc.addRenderer('controlModel', cvr.VpModelRenderer(controlModel, CHARACTER_COLOR, yr.POLYGON_LINE))
        #viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
        #viewer.doc.addRenderer('rd_footCenter_des', yr.PointsRenderer(rd_footCenter_des, (150,0,150))    )
        #viewer.doc.addRenderer('rd_footCenterL', yr.PointsRenderer(rd_footCenterL))
        #viewer.doc.addRenderer('rd_footCenterR', yr.PointsRenderer(rd_footCenterR))
        viewer.doc.addRenderer('rd_CM_plane',
                               yr.PointsRenderer(rd_CM_plane, (255, 255, 0)))
        viewer.doc.addRenderer('rd_CM',
                               yr.PointsRenderer(rd_CM, (255, 0, 255)))
        viewer.doc.addRenderer('rd_CM_des',
                               yr.PointsRenderer(rd_CM_des, (64, 64, 255)))
        viewer.doc.addRenderer(
            'rd_CM_vec',
            yr.VectorsRenderer(rd_CM_vec, rd_CM_plane, (255, 0, 0), 3))
        #viewer.doc.addRenderer('rd_CP_des', yr.PointsRenderer(rd_CP_des, (0,255,0)))
        viewer.doc.addRenderer('rd_CP_des',
                               yr.PointsRenderer(rd_CP_des, (255, 0, 128)))
        #    viewer.doc.addRenderer('rd_dL_des_plane', yr.VectorsRenderer(rd_dL_des_plane, rd_CM, (255,255,0)))
        #    viewer.doc.addRenderer('rd_dH_des', yr.VectorsRenderer(rd_dH_des, rd_CM, (0,255,0)))
        #viewer.doc.addRenderer('rd_grf_des', yr.ForcesRenderer(rd_grf_des, rd_CP, (0,255,255), .001))

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

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

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

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

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

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

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

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

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

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

        #viewer.doc.addRenderer('rd_virtualForce', yr.ForcesRenderer(rd_virtualForce, rd_CM, (50,255,0), 0.5, 0.02))

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

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

    stage = STATIC_BALANCING

    contactRendererName = []

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

    desCOMOffset = 0.0

    pt = [0.]

    timeReport = [0.] * 7

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

    viewer.objectInfoWnd.begin()
    viewer.objectInfoWnd.Bc = Fl_Value_Input(100, 450, 40, 10, 'Bc')
    viewer.objectInfoWnd.Bc.value(0.1)

    viewer.objectInfoWnd.ankleAngleX = Fl_Value_Input(50, 510, 40, 10,
                                                      'Ankle X')
    viewer.objectInfoWnd.ankleAngleX.value(0)
    viewer.objectInfoWnd.ankleAngleY = Fl_Value_Input(110, 510, 40, 10, 'Y')
    viewer.objectInfoWnd.ankleAngleY.value(1)
    viewer.objectInfoWnd.ankleAngleZ = Fl_Value_Input(170, 510, 40, 10, 'Z')
    viewer.objectInfoWnd.ankleAngleZ.value(0)

    viewer.objectInfoWnd.end()
    viewer.objectInfoWnd.labelKt.value(50)
    viewer.objectInfoWnd.labelKk.value(17)




    config['Phalange'] = [  motion[0].skeleton.getJointIndex('LeftPhalange_1'),\
                            motion[0].skeleton.getJointIndex('LeftPhalange_2'),\
                            motion[0].skeleton.getJointIndex('RightPhalange_1'),\
                            motion[0].skeleton.getJointIndex('RightPhalange_2')]
    config['Talus'] = [ motion[0].skeleton.getJointIndex('LeftTalus_1'),\
                        motion[0].skeleton.getJointIndex('LeftTalus_2'),\
                        motion[0].skeleton.getJointIndex('RightTalus_1'),\
                        motion[0].skeleton.getJointIndex('RightTalus_2')]
    config['Calcaneus'] = [ motion[0].skeleton.getJointIndex('LeftCalcaneus_1'),\
                            motion[0].skeleton.getJointIndex('LeftCalcaneus_2'),\
                            motion[0].skeleton.getJointIndex('RightCalcaneus_1'),\
                            motion[0].skeleton.getJointIndex('RightCalcaneus_2')]
    pose = motion[0].copy()
    timeReport = [0.] * 2

    def simulateCallback(frame):
        curTime = time.time()
        Ke = 0.0
        Kt, Kk, Kl, Kh, Ksc, Bt, Bl, Bh, B_CM, B_CMSd, B_Toe = viewer.GetParam(
        )
        motionModel.update(motion[frame])
        controlToMotionOffset = [-2.0, 0., 0.]
        motionModel.translateByOffset(controlToMotionOffset)

        stepsPerFrame = 10
        for i in range(stepsPerFrame):
            Kt, Kk, Kl, Kh, Ksc, Bt, Bl, Bh, B_CM, B_CMSd, B_Toe = viewer.GetParam(
            )
            #Kt, Kl, Kh, Bl, Bh, Ke = viewer.GetParam()
            #qps.setupWeight(Kt, Kl, Kh, Ke, Bt, Btau, Bcon, Bl, Bh, Be)
            qps.setupWeight(Kt, Kl, Kh, Ke, 10., .1, .1, Bl, Bh, 10.)
            cPositions, CP, CM, footCenter, dL_des, CM_ref = qps.setupQP(
                frame, motion, mcfg, controlModel, vpWorld, config,
                1. / (30. * stepsPerFrame))
            CM_ref[1] = 0.
            timeReport[0] += time.time() - curTime
            curTime = time.time()
            #forceforce = np.array([viewer.objectInfoWnd.labelForceX.value(), viewer.objectInfoWnd.labelForceY.value(), viewer.objectInfoWnd.labelForceZ.value()])
            #extraForce[0] = viewer.objectInfoWnd.labelFm.value() * mm.normalize2(forceforce)
            #extraForcePos[0] = controlModel.getBodyPositionGlobal(selectedBody)
            #if viewer.GetForceState() :
            #    qps.addExternalForces(extraForce[0], selectedBody, viewer.objectInfoWnd.labelForceDur.value());
            #    viewer.ResetForceState()
            x, cForce = qps.stepQP(controlModel, 1. / (30. * stepsPerFrame))
            timeReport[1] += time.time() - curTime
            curTime = time.time()

        print timeReport

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

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

        #rd_CM_plane[0][1] = 0.

        #if CP!=None and dCP!=None:


#        #    rd_CP[0] = CP
#        #    rd_CP_des[0] = CP_des
#        #
#        #rd_dL_des_plane[0] = dL_des_plane
#        #rd_dH_des[0] = dH_des
#        #
#        #rd_grf_des[0] = totalNormalForce# - totalMass*mm.s2v(wcfg.gravity)#dL_des_plane - totalMass*mm.s2v(wcfg.gravity)
#        #
#        #rd_exf_des[0] = applyedExtraForce[0]
#        #rd_root_des[0] = rootPos[0]
#
#        #rd_CMP[0] = softConstPoint
#
#        #rd_soft_const_vec[0] = controlModel.getBodyPositionGlobal(constBody)-softConstPoint
#
#
#        ##indexL = motion[0].skeleton.getJointIndex('Hips')
#        ##indexR = motion[0].skeleton.getJointIndex('Spine1')
#        #indexL = indexFootL[0]
#        #indexR = indexFootR[0]
#
#        #curAng = [controlModel.getBodyOrientationGlobal(indexL)]
#        #curAngY = np.dot(curAng, np.array([0,0,1]))
#
#        #rd_footL_vec[0] = np.copy(curAngY[0])
#        #rd_footCenterL[0] = controlModel.getBodyPositionGlobal(indexL)
#        #
#        #curAng = [controlModel.getBodyOrientationGlobal(indexR)]
#        #curAngY = np.dot(curAng, np.array([0,0,1]))
#
#rd_footR_vec[0] = np.copy(curAngY[0])
#rd_footCenterR[0] = controlModel.getBodyPositionGlobal(indexR)
#
#if (forceApplyFrame == 0) :
#    applyedExtraForce[0] = [0, 0, 0]

    viewer.setSimulateCallback(simulateCallback)

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

    Fl.run()
Пример #32
0
def main():

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

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

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

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

    footPartNum = config['FootPartNum']

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

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

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

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

    vpWorld.initialize()
    controlModel.initializeHybridDynamics()

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

    for i in range(footPartNum):

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

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

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

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

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

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

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

    #print(comUpperJointMasks)

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

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

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

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

    dth_IK = ype.makeNestedList(DOFs)

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

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

    rd_root = [None]

    rd_footL_vec = [None]
    rd_footR_vec = [None]

    rd_CMP = [None]

    rd_DesPosL = [None]
    rd_DesPosR = [None]

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

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

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

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

    normalVector = [[0, 2, 0]]

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

    else:
        viewer = ysv.SimpleViewer()
        #    viewer.record(False)
        #    viewer.doc.addRenderer('motion', yr.JointMotionRenderer(motion, (0,255,255), yr.LINK_BONE))
        viewer.doc.addObject('motion', motion)
        viewer.doc.addRenderer(
            'motionModel',
            cvr.VpModelRenderer(motionModel, (100, 100, 100),
                                yr.POLYGON_FILL))  #(150,150,255)
        viewer.doc.addRenderer(
            'IKModel',
            cvr.VpModelRenderer(IKModel, (180, 180, 180), yr.POLYGON_FILL))
        viewer.doc.addRenderer(
            'controlModel',
            cvr.VpModelRenderer(controlModel, CHARACTER_COLOR,
                                yr.POLYGON_FILL))
        #viewer.doc.addRenderer('rd_footCenter', yr.PointsRenderer(rd_footCenter))
        #viewer.doc.addRenderer('rd_footCenter_des', yr.PointsRenderer(rd_footCenter_des, (150,0,150))    )
        #viewer.doc.addRenderer('rd_footCenterL', yr.PointsRenderer(rd_footCenterL))
        #viewer.doc.addRenderer('rd_footCenterR', yr.PointsRenderer(rd_footCenterR))
        viewer.doc.addRenderer('rd_CM_plane',
                               yr.PointsRenderer(rd_CM_plane, (255, 255, 0)))
        viewer.doc.addRenderer('rd_CM',
                               yr.PointsRenderer(rd_CM, (255, 0, 255)))
        viewer.doc.addRenderer('rd_CM_des',
                               yr.PointsRenderer(rd_CM_des, (64, 64, 255)))
        viewer.doc.addRenderer(
            'rd_CM_vec',
            yr.VectorsRenderer(rd_CM_vec, rd_CM_plane, (255, 0, 0), 3))
        #viewer.doc.addRenderer('rd_CP_des', yr.PointsRenderer(rd_CP_des, (0,255,0)))
        #viewer.doc.addRenderer('rd_CP_des', yr.PointsRenderer(rd_CP_des, (255,0,255)))
        #    viewer.doc.addRenderer('rd_dL_des_plane', yr.VectorsRenderer(rd_dL_des_plane, rd_CM, (255,255,0)))
        #    viewer.doc.addRenderer('rd_dH_des', yr.VectorsRenderer(rd_dH_des, rd_CM, (0,255,0)))
        #viewer.doc.addRenderer('rd_grf_des', yr.ForcesRenderer(rd_grf_des, rd_CP, (0,255,255), .001))

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

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

    stage = STATIC_BALANCING

    contactRendererName = []

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

    desCOMOffset = 0.0

    pt = [0.]

    timeReport = [0.] * 7

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

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


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

    def simulateCallback(frame):

        curTime = time.time()

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

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

        #motionModel.update(motion[0])

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

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

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

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

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

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

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

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

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

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

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

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

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

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

        solveIK(CM_IK_ref, IKidxs, IKdesPos, IKdesOri)

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

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

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

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

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

        ype.flatten(ddth_c, ddth_c_flat)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

        totalNormalForce = [0, 0, 0]

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

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

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

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

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

        # angular momentum
        CP_ref = footCenter + footCenterOffset

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

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

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

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

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

        trackingW = w

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

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

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

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

        a_sup_2 = None
        Jsup_2 = None
        dJsup_2 = None

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

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

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

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

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

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

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

            vpWorld.applyPenaltyForce(bodyIDs, contactPositionLocals,
                                      contactForces)

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

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

            controlModel.setDOFAccelerations(ddth_sol)

            controlModel.solveHybridDynamics()

            vpWorld.step()

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

        rd_footCenter[0] = footCenter

        rd_CM[0] = CM.copy()

        rd_CM_plane[0] = CM_plane.copy()

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

        #rd_CM_plane[0][1] = 0.

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

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

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

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

        rd_CMP[0] = softConstPoint

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

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

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

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

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

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

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

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

    viewer.setSimulateCallback(simulateCallback)

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

    Fl.run()