dataPlot = empty((N+1,5))
dataPlot[0, 0] = t0
dataPlot[0, 1:3] = process.x()
dataPlot[0, 3] = myProcessInteraction.lambda_(0)[0]
dataPlot[0, 4] = myProcessInteraction.lambda_(0)[1]
# time loop
k = 1
while(s.hasNextEvent()):
s.newtonSolve(1e-12, 40)
dataPlot[k, 0] = s.nextTime()
dataPlot[k, 1] = process.x()[0]
dataPlot[k, 2] = process.x()[1]
dataPlot[k, 3] = myProcessInteraction.lambda_(0)[0]
dataPlot[k, 4] = myProcessInteraction.lambda_(0)[1]
k += 1
s.nextStep()
#print s.nextTime()
# save to disk
savetxt('output.txt', dataPlot)
# plot interesting stuff
subplot(411)
title('s')
plot(dataPlot[:,0], dataPlot[:,1])
grid()
subplot(412)
title('v')
plot(dataPlot[:,0], dataPlot[:,2])
grid()
subplot(413)
plot(dataPlot[:,0], dataPlot[:,3])
dataPlot[0, 1] = processDS.x()[0]
dataPlot[0, 2] = processDS.x()[1]
dataPlot[0, 3] = processDS.z()[0]
dataPlot[0, 4] = processDS.z()[1]
# Main loop
k = 1
while(processSimulation.hasNextEvent()):
processSimulation.computeOneStep()
dataPlot[k, 0] = processSimulation.nextTime()
dataPlot[k, 1] = processDS.x()[0]
dataPlot[k, 2] = processDS.x()[1]
dataPlot[k, 3] = processDS.z()[0]
dataPlot[k, 4] = processDS.z()[1]
k += 1
processSimulation.nextStep()
# print processSimulation.nextTime()
# Resize matrix
dataPlot.resize(k, outputSize)
# Save to disk
savetxt('SMCExampleImplicitOT2-noCplugin-sage-py.dat', dataPlot)
# Plot interesting data
subplot(411)
title('x1')
plot(dataPlot[:, 0], dataPlot[:, 1])
grid()
subplot(412)
title('x2')
plot(dataPlot[:, 0], dataPlot[:, 2])
grid()
subplot(413)
#aLCP.display()
dataPlot[k, 0] = aTS.nextTime()
# inductor voltage
dataPlot[k, 1] = x[0]
# inductor current
dataPlot[k, 2] = x[1]
# diode R1 current
dataPlot[k, 3] = lambda_[0]
# diode R1 voltage
dataPlot[k, 4] = - y[0]
# diode F2 voltage
dataPlot[k, 5] = - lambda_[1]
# diode F1 current
dataPlot[k, 6] = lambda_[2]
k += 1
aTS.nextStep()
# comparison with reference file
from Siconos.Kernel import SimpleMatrix, getMatrix
from numpy.linalg import norm
ref = getMatrix(SimpleMatrix("DiodeBridgeCapFilter.ref"))
error = norm(dataPlot[:,0:6] - ref[:,0:6])
print "error = " , error
#assert (error < 1e-09)
withRef = False
if (withPlot):
#
# plots
def test_serialization4():
from Siconos.Kernel import LagrangianLinearTIDS, NewtonImpactNSL, \
LagrangianLinearTIR, Interaction, Model, MoreauJeanOSI, TimeDiscretisation, LCP, TimeStepping
from numpy import array, eye, empty
t0 = 0 # start time
T = 10 # end time
h = 0.005 # time step
r = 0.1 # ball radius
g = 9.81 # gravity
m = 1 # ball mass
e = 0.9 # restitution coeficient
theta = 0.5 # theta scheme
#
# dynamical system
#
x = array([1, 0, 0]) # initial position
v = array([0, 0, 0]) # initial velocity
mass = eye(3) # mass matrix
mass[2, 2] = 3./5 * r * r
# the dynamical system
ball = LagrangianLinearTIDS(x, v, mass)
# set external forces
weight = array([-m * g, 0, 0])
ball.setFExtPtr(weight)
#
# Interactions
#
# ball-floor
H = array([[1, 0, 0]])
nslaw = NewtonImpactNSL(e)
relation = LagrangianLinearTIR(H)
inter = Interaction(1, nslaw, relation)
#
# Model
#
first_bouncingBall = Model(t0, T)
# add the dynamical system to the non smooth dynamical system
first_bouncingBall.nonSmoothDynamicalSystem().insertDynamicalSystem(ball)
# link the interaction and the dynamical system
first_bouncingBall.nonSmoothDynamicalSystem().link(inter, ball)
#
# Simulation
#
# (1) OneStepIntegrators
OSI = MoreauJeanOSI(theta)
OSI.insertDynamicalSystem(ball)
# (2) Time discretisation --
t = TimeDiscretisation(t0, h)
# (3) one step non smooth problem
osnspb = LCP()
# (4) Simulation setup with (1) (2) (3)
s = TimeStepping(t)
s.insertIntegrator(OSI)
s.insertNonSmoothProblem(osnspb)
# end of model definition
#
# computation
#
# simulation initialization
first_bouncingBall.initialize(s)
#
# save and load data from xml and .dat
#
from Siconos.IO import save, load
save(first_bouncingBall, "bouncingBall.xml")
bouncingBall = load("bouncingBall.xml")
# the number of time steps
N = (T-t0)/h+1
# Get the values to be plotted
# ->saved in a matrix dataPlot
dataPlot = empty((N, 5))
#
# numpy pointers on dense Siconos vectors
#
q = ball.q()
v = ball.velocity()
p = ball.p(1)
lambda_ = inter.lambda_(1)
#
# initial data
#
dataPlot[0, 0] = t0
dataPlot[0, 1] = q[0]
dataPlot[0, 2] = v[0]
dataPlot[0, 3] = p[0]
dataPlot[0, 4] = lambda_[0]
k = 1
# time loop
while(s.hasNextEvent()):
s.computeOneStep()
dataPlot[k, 0] = s.nextTime()
dataPlot[k, 1] = q[0]
dataPlot[k, 2] = v[0]
dataPlot[k, 3] = p[0]
dataPlot[k, 4] = lambda_[0]
k += 1
print(s.nextTime())
s.nextStep()
#
# comparison with the reference file
#
from Siconos.Kernel import SimpleMatrix, getMatrix
from numpy.linalg import norm
ref = getMatrix(SimpleMatrix("result.ref"))
assert (norm(dataPlot - ref) < 1e-12)
def test_diodebridge1():
from Siconos.Kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
ComplementarityConditionNSL, Interaction,\
Model, EulerMoreauOSI, TimeDiscretisation, LCP, \
TimeStepping
from numpy import empty
from Siconos.Kernel import SimpleMatrix, getMatrix
from numpy.linalg import norm
t0 = 0.0
T = 5.0e-3 # Total simulation time
h_step = 1.0e-6 # Time step
Lvalue = 1e-2 # inductance
Cvalue = 1e-6 # capacitance
Rvalue = 1e3 # resistance
Vinit = 10.0 # initial voltage
Modeltitle = "DiodeBridge"
#
# dynamical system
#
init_state = [Vinit, 0]
A = [[0, -1.0/Cvalue],
[1.0/Lvalue, 0 ]]
LSDiodeBridge=FirstOrderLinearDS(init_state, A)
#
# Interactions
#
C = [[0., 0.],
[0, 0.],
[-1., 0.],
[1., 0.]]
D = [[1./Rvalue, 1./Rvalue, -1., 0.],
[1./Rvalue, 1./Rvalue, 0., -1.],
[1., 0., 0., 0.],
[0., 1., 0., 0.]]
B = [[0., 0., -1./Cvalue, 1./Cvalue],
[0., 0., 0., 0. ]]
LTIRDiodeBridge=FirstOrderLinearTIR(C, B)
LTIRDiodeBridge.setDPtr(D)
LTIRDiodeBridge.display()
nslaw=ComplementarityConditionNSL(4)
InterDiodeBridge=Interaction(4, nslaw, LTIRDiodeBridge, 1)
#
# Model
#
DiodeBridge=Model(t0, T, Modeltitle)
# add the dynamical system in the non smooth dynamical system
DiodeBridge.nonSmoothDynamicalSystem().insertDynamicalSystem(LSDiodeBridge)
# link the interaction and the dynamical system
DiodeBridge.nonSmoothDynamicalSystem().link(InterDiodeBridge, LSDiodeBridge)
#
# Simulation
#
# (1) OneStepIntegrators
theta = 0.5
aOSI = EulerMoreauOSI(LSDiodeBridge, theta)
# (2) Time discretisation
aTiDisc = TimeDiscretisation(t0, h_step)
# (3) Non smooth problem
aLCP = LCP()
# (4) Simulation setup with (1) (2) (3)
aTS = TimeStepping(aTiDisc, aOSI, aLCP)
# end of model definition
#
# computation
#
# simulation initialization
DiodeBridge.initialize(aTS)
k = 0
h = aTS.timeStep()
print("Timestep : ", h)
# Number of time steps
N = (T-t0)/h
print("Number of steps : ", N)
# Get the values to be plotted
# ->saved in a matrix dataPlot
dataPlot = empty([N, 8])
x = LSDiodeBridge.x()
print("Initial state : ", x)
y = InterDiodeBridge.y(0)
print("First y : ", y)
lambda_ = InterDiodeBridge.lambda_(0)
# For the initial time step:
# time
dataPlot[k, 0] = t0
# inductor voltage
dataPlot[k, 1] = x[0]
# inductor current
dataPlot[k, 2] = x[1]
# diode R1 current
dataPlot[k, 3] = y[0]
# diode R1 voltage
dataPlot[k, 4] = - lambda_[0]
# diode F2 voltage
dataPlot[k, 5] = - lambda_[1]
# diode F1 current
dataPlot[k, 6] = lambda_[2]
# resistor current
dataPlot[k, 7] = y[0] + lambda_[2]
k += 1
while (k < N):
aTS.computeOneStep()
#aLCP.display()
dataPlot[k, 0] = aTS.nextTime()
# inductor voltage
dataPlot[k, 1] = x[0]
# inductor current
dataPlot[k, 2] = x[1]
# diode R1 current
dataPlot[k, 3] = y[0]
# diode R1 voltage
dataPlot[k, 4] = - lambda_[0]
# diode F2 voltage
dataPlot[k, 5] = - lambda_[1]
# diode F1 current
dataPlot[k, 6] = lambda_[2]
# resistor current
dataPlot[k, 7] = y[0] + lambda_[2]
k += 1
aTS.nextStep()
#
# comparison with the reference file
#
ref = getMatrix(SimpleMatrix("diode_bridge.ref"))
print(norm(dataPlot - ref))
assert (norm(dataPlot - ref) < 1e-12)
return ref, dataPlot
def test_smc1():
from Siconos.Kernel import FirstOrderLinearDS, Model, TimeDiscretisation, \
TimeStepping, ZeroOrderHoldOSI, TD_EVENT
from Siconos.Control import ControlManager, LinearSensor, LinearSMCOT2
from numpy import eye, empty, zeros
import numpy as np
from math import ceil, sin
# Derive our own version of FirstOrderLinearDS
class MyFOLDS(FirstOrderLinearDS):
def computeb(self, time):
t = sin(50*time)
# XXX fix this !
u = [t, -t]
self.setb(u)
# variable declaration
ndof = 2 # Number of degrees of freedom of your system
t0 = 0.0 # start time
T = 1 # end time
h = 1.0e-4 # time step for simulation
hControl = 1.0e-2 # time step for control
Xinit = 1.0 # initial position
N = ceil((T-t0)/h + 10) # number of time steps
outputSize = 4 # number of variable to store at each time step
# Matrix declaration
A = zeros((ndof, ndof))
x0 = [Xinit, -Xinit]
Brel = np.array([[0], [1]])
sensorC = eye(ndof)
sensorD = zeros((ndof, ndof))
Csurface = [[0, 1.0]]
# Simple check
if h > hControl:
print("hControl must be bigger than h")
exit(1)
# Declaration of the Dynamical System
processDS = MyFOLDS(x0, A)
# XXX b is not automatically created ...
# processDS.setb([0, 0])
# Model
process = Model(t0, T)
process.nonSmoothDynamicalSystem().insertDynamicalSystem(processDS)
# time discretization
processTD = TimeDiscretisation(t0, h)
tSensor = TimeDiscretisation(t0, hControl)
tActuator = TimeDiscretisation(t0, hControl)
# Creation of the Simulation
processSimulation = TimeStepping(processTD, 0)
processSimulation.setName("plant simulation")
# Declaration of the integrator
processIntegrator = ZeroOrderHoldOSI(processDS)
processSimulation.insertIntegrator(processIntegrator)
# Actuator, Sensor & ControlManager
control = ControlManager(processSimulation)
sens = LinearSensor(processDS, sensorC, sensorD)
control.addSensorPtr(sens, tSensor)
act = LinearSMCOT2(sens)
act.setCsurface(Csurface)
act.setB(Brel)
control.addActuatorPtr(act, tActuator)
# Initialization.
process.initialize(processSimulation)
control.initialize(process)
# This is not working right now
# eventsManager = s.eventsManager()
# Matrix for data storage
dataPlot = empty((3*(N+1), outputSize))
dataPlot[0, 0] = t0
dataPlot[0, 1] = processDS.x()[0]
dataPlot[0, 2] = processDS.x()[1]
dataPlot[0, 3] = act.u()[0]
# Main loop
k = 1
while processSimulation.hasNextEvent():
if processSimulation.eventsManager().nextEvent().getType() == TD_EVENT:
processSimulation.computeOneStep()
dataPlot[k, 0] = processSimulation.nextTime()
dataPlot[k, 1] = processDS.x()[0]
dataPlot[k, 2] = processDS.x()[1]
dataPlot[k, 3] = act.u()[0]
k += 1
processSimulation.nextStep()
# print processSimulation.nextTime()
# Resize matrix
dataPlot.resize(k, outputSize)