コード例 #1
0
def newGrid(seed=0):
    hasApogee = True
    rg = RobotGrid(angStep, collisionBuffer, epsilon, seed)

    for posID, (xp, yp) in posDict.items():
        rg.addRobot(posID, xp, yp, hasApogee)
    rg.initGrid()

    for ii in range(rg.nRobots):
        r = rg.getRobot(ii)
        r.setXYUniform()
    rg.decollide2()
    return rg
コード例 #2
0
def safeGrid():
    hasApogee = True
    seed = 0
    rg = RobotGrid(angStep, collisionBuffer, epsilon, seed)

    for posID, (xp, yp) in posDict.items():
        rg.addRobot(posID, xp, yp, hasApogee)
    rg.initGrid()

    for ii in range(rg.nRobots):
        r = rg.getRobot(ii)
        r.setAlphaBeta(45, 90)
    rg.decollide2()
    return rg
コード例 #3
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def getGrid(angStep, cbuff, seed, nDia):
    rg = RobotGrid(stepSize=angStep,
                   collisionBuffer=cbuff,
                   epsilon=angStep * 2,
                   seed=seed)
    xPos, yPos = xPos, yPos = utils.hexFromDia(nDia, pitch=22.4, rotAngle=90)
    for robotID, (x, y) in enumerate(zip(xPos, yPos)):
        rg.addRobot(robotID, x, y, hasApogee)
    rg.initGrid()
    for robot in rg.robotDict.values():
        robot.setXYUniform()
        robot.setDestinationAlphaBeta(10, 170)

    rg.decollideGrid()
    # print("nCollisions in getGrid", rg.getNCollisions())
    return rg
コード例 #4
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def getValidAssignments(seed):
    """seed is the random seed with which to initialze the RobotGrid

    return dictionary keyed by positioner id with the coordinates of the
    metrology fiber.  These represent valid (non-collided) xy Fiber positions
    for each robot
    """
    rg = RobotGrid(seed=seed)
    for ii, (xp, yp) in enumerate(zip(xCoords, yCoords)):
        rg.addRobot(robotID=ii, xPos=xp, yPos=yp)
    rg.initGrid()
    # give all robots an initial (radom) target configuration
    for robot in rg.robotDict.values():
        # assigns a robot a target picked uniformly in xy
        # from its patrol annulus
        robot.setXYUniform()
    # decollide any colliding robots so that we have a completely
    # non-colliding target configuration
    rg.decollideGrid()
    targetPos = {}
    for robot in rg.robotDict.values():
        targetPos[robot.id] = robot.metFiberPos[:-1]  # xy coord, drop the z
    return targetPos
コード例 #5
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    plt.savefig(figprefix + "robot_%s.png" % r.id, dpi=dpi)
    plt.close()


# maxPathSteps = int(700.0/angStep)
if __name__ == "__main__":
    minPoints = 30
    cos = numpy.cos(numpy.radians(90))
    sin = numpy.sin(numpy.radians(90))
    seed = 5000

    while True:
        seed += 1
        print("trying seed", seed)
        rg = RobotGrid(angStep, collisionBuffer, epsilon, seed)
        xPos, yPos = utils.hexFromDia(nDia, pitch=pitch)
        for ii, (xp, yp) in enumerate(zip(xPos, yPos)):
            xrot = cos * xp + sin * yp
            yrot = sin * xp - cos * yp
            # print("%.8f, %.8f"%(xrot,yrot))
            rg.addRobot(ii, xrot, yrot, hasApogee)
        rg.initGrid()
        for ii in range(rg.nRobots):
            r = rg.getRobot(ii)
            r.setXYUniform()
        # set all positioners randomly (they are initialized at 0,0)
        rg.decollide2()
        rg.pathGen()
        rg.smoothPaths(smoothPts)  # must be odd
        rg.simplifyPaths()
コード例 #6
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def test_reverseMDP(plot=False):
    greed = 0.9
    phobia = 0.1
    angStep = 1
    downsample = int(numpy.floor(3 / angStep))
    xPos, yPos = utils.hexFromDia(25, pitch=22.4)
    seed = 1
    rg = RobotGrid(stepSize=angStep, epsilon=epsilon, seed=seed)

    for robotID, (x, y) in enumerate(zip(xPos, yPos)):
        rg.addRobot(robotID, str(robotID), [x, y, 0], hasApogee)
    rg.setCollisionBuffer(collisionBuffer)
    rg.initGrid()
    for rID in rg.robotDict:
        robot = rg.getRobot(rID)
        robot.setXYUniform()
    assert rg.getNCollisions() > 10

    rg.decollideGrid()

    for robot in rg.robotDict.values():
        robot.setDestinationAlphaBeta(0, 180)
    assert rg.getNCollisions() == 0
    rg.pathGenMDP(greed, phobia)

    if plot:
        utils.plotPaths(rg, downsample=downsample, filename="reverseMDP.mp4")
コード例 #7
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def test_forwardMDP(plot=False):
    xPos, yPos = utils.hexFromDia(25, pitch=22.4)
    seed = 1
    rg = RobotGrid(stepSize=angStep, epsilon=epsilon, seed=seed)

    for robotID, (x, y) in enumerate(zip(xPos, yPos)):
        rg.addRobot(robotID, str(robotID), [x, y, 0], hasApogee)
    rg.setCollisionBuffer(collisionBuffer)
    rg.initGrid()
    for rID in rg.robotDict:
        robot = rg.getRobot(rID)
        robot.setXYUniform()
    assert rg.getNCollisions() > 10

    rg.decollideGrid()
    print("N collisions 1", rg.getNCollisions())

    for robot in rg.robotDict.values():
        robot.setDestinationAlphaBeta(robot.alpha, robot.beta)
        robot.setAlphaBeta(0, 180)
    print("N collisions 2", rg.getNCollisions())
    # assert rg.getNCollisions() == 0
    rg.pathGenMDP(0.9, 0.1)
    if plot:
        utils.plotPaths(rg, filename="forwardMDP.mp4")
コード例 #8
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def test_fatty(plot=False):
    xPos, yPos = utils.hexFromDia(11, pitch=22.4)
    print("n robots", len(xPos))
    angStep = 0.1
    greed = 0.8
    phobia = 0.2
    collisionBuffer = 4
    downsample = int(numpy.floor(3 / angStep))
    rg = RobotGrid(stepSize=angStep, epsilon=epsilon, seed=1)

    for robotID, (x, y) in enumerate(zip(xPos, yPos)):
        rg.addRobot(robotID, str(robotID), [x, y, 0], hasApogee)
    rg.setCollisionBuffer(collisionBuffer)
    rg.initGrid()
    for rID in rg.robotDict:
        robot = rg.getRobot(rID)
        robot.setXYUniform()
        robot.setDestinationAlphaBeta(90, 180)
    # assert rg.getNCollisions() > 10

    rg.decollideGrid()

    rg.pathGenMDP(greed, phobia)

    # rg.smoothPaths(3)
    # rg.simplifyPaths()
    # rg.verifySmoothed()
    if plot:
        utils.plotPaths(rg, downsample=downsample, filename="fatty.mp4")
コード例 #9
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def test_tofile(plot=False):
    xPos, yPos = utils.hexFromDia(37, pitch=22.4, rotAngle=90)
    print("n robots", len(xPos))
    angStep = 1
    greed = 0.8
    phobia = 0.2
    downsample = int(numpy.floor(3 / angStep))
    rg = RobotGrid(stepSize=angStep, epsilon=epsilon, seed=1)

    for robotID, (x, y) in enumerate(zip(xPos, yPos)):
        rg.addRobot(robotID, str(robotID), [x, y, 0], hasApogee)
    rg.setCollisionBuffer(collisionBuffer)
    rg.initGrid()
    for rID in rg.robotDict:
        robot = rg.getRobot(rID)
        robot.setXYUniform()
    assert rg.getNCollisions() > 10

    rg.decollideGrid()
    for robot in rg.robotDict.values():
        robot.setDestinationAlphaBeta(10, 170)
    rg.pathGenMDP(greed, phobia)
    # rg.smoothPaths(3)
    # rg.simplifyPaths()
    # rg.verifySmoothed()
    # t1 = time.time()
    # rg.summaryJSON("json.txt")
    # print("json took", (time.time()-t1))

    # t1 = time.time()
    # rg.summaryPickle("rg.pkl")
    # print("pickle took", (time.time()-t1))

    # t1 = time.time()
    # g = json.load(open("json.txt", "r"))
    # print("json load took", (time.time()-t1))

    # t1 = time.time()
    # g = pickle.load(open("rg.pkl", "rb"))
    # print("pickle load took", (time.time()-t1))
    if plot:
        utils.plotOne(-1, rg, figname="tofile.png", isSequence=False)
コード例 #10
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def test_initialConfigs(plot=False):

    xPos, yPos = utils.hexFromDia(21, pitch=22.4)
    angStep = 0.1
    greed = 0.8
    phobia = 0.2
    downsample = int(numpy.floor(10 / angStep))
    rg = RobotGrid(stepSize=angStep, epsilon=epsilon, seed=1)
    for robotID, (x, y) in enumerate(zip(xPos, yPos)):
        rg.addRobot(robotID, str(robotID), [x, y, 0], hasApogee)
    rg.setCollisionBuffer(collisionBuffer)
    rg.initGrid()
    for rID in rg.robotDict:
        robot = rg.getRobot(rID)
        robot.setXYUniform()
    assert rg.getNCollisions() > 10
    if plot:
        utils.plotOne(-1, rg, figname="angStepO.png", isSequence=False)

    rg.decollideGrid()
    for robot in rg.robotDict.values():
        robot.setDestinationAlphaBeta(0, 180)
    if plot:
        utils.plotOne(-1, rg, figname="angStepD.png", isSequence=False)
    rg.pathGenMDP(greed, phobia)
    if plot:
        utils.plotOne(-1, rg, figname="angStepE.png", isSequence=False)
    if plot:
        utils.plotPaths(rg, downsample=downsample, filename="init.mp4")
コード例 #11
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ファイル: moveSeven.py プロジェクト: csayres/EPFL_sandbox
def generatePath(seed=0, plot=False, movie=False):
    nDia = 3
    pitch = 22.4

    hasApogee = True
    rg = RobotGrid(angStep, collisionBuffer, epsilon, seed)

    # epfl grid is sideways
    # xPos, yPos = utils.hexFromDia(nDia, pitch=pitch)
    # for ii, (xp, yp), posID in enumerate(zip(xPos, yPos, posList)):
    #     rg.addRobot(posID, xp, yp, hasApogee)
    # rg.initGrid()

    for posID, (xp, yp) in posDict.items():
        # print("loading pos %i [%.2f, %.2f]"%(posID, xp, yp))
        rg.addRobot(posID, xp, yp, hasApogee)
    rg.initGrid()

    for ii in range(rg.nRobots):
        r = rg.getRobot(ii)
        # print("loading pos %i [%.2f, %.2f]"%(r.id, r.xPos, r.yPos))
        # print("robotID", r.id)
        r.setXYUniform()
    # set all positioners randomly (they are initialized at 0,0)
    rg.decollide2()
    rg.pathGen()
    if rg.didFail:
        print("path gen failed")
        raise (RuntimeError, "path gen failed")
    rg.smoothPaths(smoothPts)
    rg.simplifyPaths()
    rg.setCollisionBuffer(collisionBuffer - collisionShrink)
    rg.verifySmoothed()

    if rg.smoothCollisions:
        print("smoothing failed with ", rg.smoothCollisions)
        raise (RuntimeError, "smoothing failed")

    if movie:
        plotMovie(rg, filename="movie_%i" % seed)

    # find the positioner with the most interpolated steps
    forwardPath = {}
    reversePath = {}

    for robotID, r in zip(posDict.keys(), rg.allRobots):

        assert robotID == r.id
        if plot:
            plotTraj(r, "seed_%i_" % seed, dpi=250)

        # bp = numpy.array(r.betaPath)
        # sbp = numpy.array(r.interpSmoothBetaPath)
        ibp = numpy.array(r.simplifiedBetaPath)

        # ap = numpy.array(r.alphaPath)
        # sap = numpy.array(r.interpSmoothAlphaPath)
        iap = numpy.array(r.simplifiedAlphaPath)

        # generate kaiju trajectory (for robot 23)
        # time = angStep * stepNum / speed

        alphaTimesR = iap[:, 0] * angStep / RobotMaxSpeed
        alphaDegR = iap[:, 1]
        betaTimesR = ibp[:, 0] * angStep / RobotMaxSpeed
        betaDegR = ibp[:, 1]

        armPathR = {}  # reverse path
        armPathR["alpha"] = [(pos, time)
                             for pos, time in zip(alphaDegR, alphaTimesR)]
        armPathR["beta"] = [(pos, time)
                            for pos, time in zip(betaDegR, betaTimesR)]

        reversePath[robotID] = armPathR

        # build forward path
        alphaTimesF = numpy.abs(alphaTimesR - alphaTimesR[-1])[::-1]
        alphaDegF = alphaDegR[::-1]
        betaTimesF = numpy.abs(betaTimesR - betaTimesR[-1])[::-1]
        betaDegF = betaDegR[::-1]

        armPathF = {}  # reverse path
        armPathF["alpha"] = [(pos, time)
                             for pos, time in zip(alphaDegF, alphaTimesF)]
        armPathF["beta"] = [(pos, time)
                            for pos, time in zip(betaDegF, betaTimesF)]

        forwardPath[robotID] = armPathF

    return forwardPath, reversePath
コード例 #12
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def generatePath(seed=0, plot=False):
    nDia = 3
    pitch = 22.4

    hasApogee = True
    rg = RobotGrid(angStep, collisionBuffer, epsilon, seed)
    xPos, yPos = utils.hexFromDia(nDia, pitch=pitch)
    for ii, (xp, yp) in enumerate(zip(xPos, yPos)):
        rg.addRobot(ii, xp, yp, hasApogee)
    rg.initGrid()
    for ii in range(rg.nRobots):
        r = rg.getRobot(ii)
        r.setXYUniform()
    # set all positioners randomly (they are initialized at 0,0)
    rg.decollide2()
    rg.pathGen()
    if rg.didFail:
        print("path gen failed")
        raise (RuntimeError, "path gen failed")
    rg.smoothPaths(smoothPts)
    rg.simplifyPaths()
    rg.setCollisionBuffer(collisionBuffer - collisionShrink)
    rg.verifySmoothed()

    if rg.smoothCollisions:
        print("smoothing failed with ", rg.smoothCollisions)
        raise (RuntimeError, "smoothing failed")

    # find the positioner with the most interpolated steps
    useRobot = None
    maxSteps = 0
    for i, r in enumerate(rg.allRobots):
        m = len(r.simplifiedBetaPath)  # beta path is usually more complicated
        if m > maxSteps:
            maxSteps = m
            useRobot = r

    if plot:
        plotTraj(useRobot, "seed_%i_" % seed, dpi=250)

    # bp = numpy.array(useRobot.betaPath)
    # sbp = numpy.array(useRobot.interpSmoothBetaPath)
    ibp = numpy.array(useRobot.simplifiedBetaPath)

    # ap = numpy.array(useRobot.alphaPath)
    # sap = numpy.array(useRobot.interpSmoothAlphaPath)
    iap = numpy.array(useRobot.simplifiedAlphaPath)

    # generate kaiju trajectory (for robot 23)
    # time = angStep * stepNum / speed

    alphaTimesR = iap[:, 0] * angStep / RobotMaxSpeed
    alphaDegR = iap[:, 1]
    betaTimesR = ibp[:, 0] * angStep / RobotMaxSpeed
    betaDegR = ibp[:, 1]

    armPathR = {}  # reverse path
    armPathR["alpha"] = [(pos, time)
                         for pos, time in zip(alphaDegR, alphaTimesR)]
    armPathR["beta"] = [(pos, time) for pos, time in zip(betaDegR, betaTimesR)]

    reversePath = {robotID: armPathR}

    # build forward path
    alphaTimesF = numpy.abs(alphaTimesR - alphaTimesR[-1])[::-1]
    alphaDegF = alphaDegR[::-1]
    betaTimesF = numpy.abs(betaTimesR - betaTimesR[-1])[::-1]
    betaDegF = betaDegR[::-1]

    armPathF = {}  # reverse path
    armPathF["alpha"] = [(pos, time)
                         for pos, time in zip(alphaDegF, alphaTimesF)]
    armPathF["beta"] = [(pos, time) for pos, time in zip(betaDegF, betaTimesF)]

    forwardPath = {robotID: armPathF}

    return forwardPath, reversePath, maxSteps
コード例 #13
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def doOne(seed, flip90=False):
    rg = RobotGrid(angStep, collisionBuffer, 2.2, seed)
    xPos, yPos = utils.hexFromDia(nDia, pitch=22.4)
    for ii, (xp, yp) in enumerate(zip(xPos, yPos)):
        if flip90:
            xrot = cos * xp + sin * yp
            yrot = sin * xp - cos * yp
            rg.addRobot(ii, xrot, yrot, hasApogee)
        else:
            rg.addRobot(ii, xp, yp, hasApogee)
    rg.initGrid()
    for ii in range(rg.nRobots):
        r = rg.getRobot(ii)
        r.setXYUniform()  # r.setXYUniform can give nan values for alpha beta?

    # set all positioners randomly (they are initialized at 0,0)

    rg.decollide2()

    rg.pathGen()  # calling decollide twice breaks things?

    robotsFolded = 0
    for r in rg.allRobots:
        if r.alpha == 0 and r.beta == 180:
            robotsFolded += 1

    # if rg.didFail:
    #     filename = "seed_%i"%seed
    #     if flip90:
    #         filename += "_flipped"
    #     else:
    #         filename += "_notflipped"
    #     utils.plotOne(1, rg, figname=filename+".png", isSequence=False, internalBuffer=collisionBuffer)

    return robotsFolded
コード例 #14
0
ファイル: test_unevenCBs.py プロジェクト: sdss/kaiju
def test_unevenCBs(plot=False):
    hasApogee = True
    greed = 0.8
    phobia = 0.2

    xPos, yPos = utils.hexFromDia(17, pitch=22.4)
    seed = 1
    # cb = 2.5
    cs = 0.04
    step = 0.1  # degrees per step in kaiju's rough path
    smoothPts = 10  # width of velocity smoothing window
    eps = step * 2.2
    # downsample = int(numpy.floor(50 / step))
    rg = RobotGrid(stepSize=step, epsilon=eps, seed=seed)

    for robotID, (x, y) in enumerate(zip(xPos, yPos)):
        rg.addRobot(robotID,
                    str(robotID), [x, y, 0],
                    hasApogee,
                    collisionBuffer=numpy.random.uniform(1.5, 3.5))
    rg.initGrid()
    for rID in rg.robotDict:
        robot = rg.getRobot(rID)
        robot.setXYUniform()
    assert rg.getNCollisions() > 10

    rg.decollideGrid()

    for robot in rg.robotDict.values():
        robot.setDestinationAlphaBeta(0, 180)
    assert rg.getNCollisions() == 0
    tstart = time.time()
    rg.pathGenMDP(greed, phobia)
    print("pathgen took", time.time() - tstart)
    rg.smoothPaths(smoothPts)
    rg.simplifyPaths()
    rg.shrinkCollisionBuffer(cs)
    rg.verifySmoothed()

    assert rg.smoothCollisions == 0
    print("n smooth collisions", rg.smoothCollisions)

    if plot:
        for r in rg.robotDict.values():
            utils.plotTraj(r, "unevenCBs", dpi=250)
        utils.plotPaths(rg, downsample=3, filename="unevenCBs.mp4")
コード例 #15
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def test_setMDP(plot=False):

    greed = 0.8
    phobia = 0.2
    xPos, yPos = utils.hexFromDia(45, pitch=22.4)
    print("using ", len(xPos), "robots")
    # collisionBuffer = 3
    angStep = 0.5
    collisionBuffer = 3
    downsample = int(numpy.floor(3 / angStep))
    for seed in range(100):
        rg = RobotGrid(stepSize=angStep, epsilon=epsilon, seed=seed)

        for robotID, (x, y) in enumerate(zip(xPos, yPos)):
            rg.addRobot(robotID, str(robotID), [x, y, 0], hasApogee)
        rg.setCollisionBuffer(collisionBuffer)
        rg.initGrid()
        for rID in rg.robotDict:
            robot = rg.getRobot(rID)
            robot.setXYUniform()
        assert rg.getNCollisions() > 10

        rg.decollideGrid()

        for robot in rg.robotDict.values():
            robot.setDestinationAlphaBeta(90, 180)
        assert rg.getNCollisions() == 0
        rg.pathGenMDP(greed, phobia)

        deadlockedRobots = []
        for r in rg.robotDict.values():
            # if not r.onTargetVec[-1]:
            if r.score() > 0:
                deadlockedRobots.append(r.id)
        if len(deadlockedRobots):
            print("seed", seed, "failed with these", deadlockedRobots, "in ",
                  rg.nSteps)
            break
        else:
            print("seed", seed, "didn't fail", rg.nSteps, " taken to solve")

    if plot:
        utils.plotPaths(rg,
                        downsample=downsample,
                        filename="reverseSetMDP.mp4")
コード例 #16
0
ファイル: movieExample.py プロジェクト: csayres/EPFL_sandbox
    epsilon = angStep * 2.2
    seed1 = 0
    seed2 = 1
    hasApogee = True
    figOffset = 0
    # maxPathSteps = int(700.0/angStep)
    posDict = OrderedDict()
    posDict[24] = [0, -22.4]
    posDict[17] = [0, 0]
    posDict[21] = [0, 22.4]
    posDict[19] = [19.39896904, -11.20000000]
    posDict[20] = [19.39896904, 11.20000000]
    posDict[16] = [-19.39896904, -11.20000000]
    posDict[25] = [-19.39896904, 11.20000000]

    rg = RobotGrid(angStep, collisionBuffer, epsilon, seed1)
    for posID, (xp, yp) in posDict.items():
        rg.addRobot(posID, xp, yp, hasApogee)

    # xPos, yPos = utils.hexFromDia(nDia, pitch=pitch)
    # for ii, (xp,yp) in enumerate(zip(xPos,yPos)):
    #     rg.addRobot(ii, xp, yp, hasApogee)
    rg.initGrid()
    for ii in range(rg.nRobots):
        r = rg.getRobot(ii)
        r.setXYUniform()
    # set all positioners randomly (they are initialized at 0,0)
    rg.decollide2()
    rg.pathGen()
    plotMovie(rg)
コード例 #17
0
ファイル: unwind.py プロジェクト: csayres/EPFL_sandbox
async def main():

    # Set logging level to DEBUG
    #log.set_level(20)

    # Initialise the FPS instance.
    fps = FPS(layout="grid7.txt")
    await fps.initialise()

    hasApogee = True
    seed = 0  # ignored we're setting ppositions manually
    rg = RobotGrid(angStep, collisionBuffer, epsilon, seed)

    # epfl grid is sideways
    # xPos, yPos = utils.hexFromDia(nDia, pitch=pitch)
    # for ii, (xp, yp), posID in enumerate(zip(xPos, yPos, posList)):
    #     rg.addRobot(posID, xp, yp, hasApogee)
    # rg.initGrid()

    for posID, (xp, yp) in posDict.items():
        # print("loading pos %i [%.2f, %.2f]"%(posID, xp, yp))
        rg.addRobot(posID, xp, yp, hasApogee)
    rg.initGrid()

    #print("fps.positioners", fps.positioners)
    for ii in range(rg.nRobots):
        r = rg.getRobot(ii)
        # print("loading pos %i [%.2f, %.2f]"%(r.id, r.xPos, r.yPos))
        # print("robotID", r.id)
        await fps.positioners[r.id].update_position()
        alpha, beta = fps.positioners[r.id].position
        print("IIII", r.id, alpha, beta)
        r.setAlphaBeta(alpha, beta)
    # set all positioners randomly (they are initialized at 0,0)
    # rg.decollide2()
    rg.pathGen()
    if rg.didFail:
        print("path gen failed")
        raise (RuntimeError, "path gen failed")
    rg.smoothPaths(smoothPts)
    rg.simplifyPaths()
    rg.setCollisionBuffer(collisionBuffer - collisionShrink)
    rg.verifySmoothed()

    if rg.smoothCollisions:
        print("smoothing failed with ", rg.smoothCollisions)
        raise (RuntimeError, "smoothing failed")

    # find the positioner with the most interpolated steps
    reversePath = {}

    for robotID, r in zip(posDict.keys(), rg.allRobots):

        assert robotID == r.id

        # bp = numpy.array(r.betaPath)
        # sbp = numpy.array(r.interpSmoothBetaPath)
        ibp = numpy.array(r.simplifiedBetaPath)

        # ap = numpy.array(r.alphaPath)
        # sap = numpy.array(r.interpSmoothAlphaPath)
        iap = numpy.array(r.simplifiedAlphaPath)

        # generate kaiju trajectory (for robot 23)
        # time = angStep * stepNum / speed

        alphaTimesR = iap[:, 0] * angStep / RobotMaxSpeed
        alphaDegR = iap[:, 1]
        betaTimesR = ibp[:, 0] * angStep / RobotMaxSpeed
        betaDegR = ibp[:, 1]

        armPathR = {}  # reverse path
        armPathR["alpha"] = [(pos, time)
                             for pos, time in zip(alphaDegR, alphaTimesR)]
        armPathR["beta"] = [(pos, time)
                            for pos, time in zip(betaDegR, betaTimesR)]

        reversePath[robotID] = armPathR

    await fps.send_trajectory(reversePath)
    await fps.shutdown()