outputSize = 5 # number of variable to store at each time step
# Matrix declaration
A = zeros((ndof, ndof))
x0 = [Xinit, -Xinit]
sensorC = eye(ndof)
Csurface = [[0, 1.0]]
Brel = [[0], [2]]
# Simple check
if h > hControl:
print "hControl must be bigger than h"
exit(1)
# Declaration of the Dynamical System
processDS = FirstOrderLinearDS(x0, A)
processDS.setComputebFunction("RelayPlugin", "computeB")
# Control simulation
sim = ControlZOHSimulation(t0, T, h)
sim.setSaveOnlyMainSimulation(True)
sim.addDynamicalSystem(processDS)
# Actuator, Sensor & ControlManager
sens = LinearSensor(processDS, sensorC)
sim.addSensor(sens, hControl)
act = LinearSMCOT2(sens)
act.setCsurface(Csurface)
act.setB(Brel)
sim.addActuator(act, hControl)
# Initialization
sim.initialize()
ninter = 2
theta = 0.5
alpha = .01
N = ceil((T-t0)/h)
# matrices
A = zeros((2,2))
A[0, 1] = 1
x0 = array([1.,10.])
B = 500*array([[alpha,1-alpha],[-(1-alpha),alpha]])
C = eye(2)
D = zeros((2,2))
# dynamical systems
process = FirstOrderLinearDS(x0, A)
myProcessRelation = ZhuravlevTwistingR(C,B)
myNslaw = RelayNSL(2)
myNslaw.display()
myProcessInteraction = Interaction(ninter, myNslaw,
myProcessRelation)
myNSDS = NonSmoothDynamicalSystem()
myNSDS.insertDynamicalSystem(process)
myNSDS.link(myProcessInteraction,process)
filippov = Model(t0,T)
filippov.setNonSmoothDynamicalSystemPtr(myNSDS)
#theta = 0.5 theta = 1.0 alpha = .01 N = int((T - t0) / h) # matrices A = zeros((2, 2)) A[0, 1] = 1 x0 = array([1., 10.]) B = 500 * array([[alpha, 1 - alpha], [-(1 - alpha), alpha]]) C = eye(2) D = zeros((2, 2)) # dynamical systems process = FirstOrderLinearDS(x0, A) myProcessRelation = MyR.MyR(C, B) #myProcessRelation.setDPtr(D) myNslaw = RelayNSL(2) myNslaw.display() myProcessInteraction = Interaction(myNslaw, myProcessRelation) filippov = NonSmoothDynamicalSystem(t0, T) filippov.insertDynamicalSystem(process) filippov.link(myProcessInteraction, process) td = TimeDiscretisation(t0, h) s = TimeStepping(filippov, td)
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
RelayNSL, Interaction,\
Model, EulerMoreauOSI, TimeDiscretisation, Relay, \
TimeStepping,NonSmoothDynamicalSystem
#
# dynamical system
#
init_state = [0.0,xinit,0]
A = [[0, 1.0, 0.0],
[0.0, 0.0, 1.0],
[0.0, -3.0, -2.0]]
LSRelayOscillator=FirstOrderLinearDS(init_state, A)
#
# Interactions
#
C = [[1.0, 0.0, 0.0]]
D = [[0.0 ]]
B = [[0.0],
[0.0],
[1.0]]
LTIRRelayOscillator=FirstOrderLinearTIR(C,B)
LTIRRelayOscillator.setDPtr(D)
matplotlib.use('Agg')
from matplotlib.pyplot import subplot, title, plot, grid, savefig
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
ComplementarityConditionNSL, Interaction,\
Model, EulerMoreauOSI, TimeDiscretisation, LCP, \
TimeStepping
#
# 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)
matplotlib.use('Agg')
from matplotlib.pyplot import subplot, title, plot, grid, savefig
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
ComplementarityConditionNSL, Interaction,\
Model, EulerMoreauOSI, TimeDiscretisation, LCP, \
TimeStepping
#
# dynamical system
#
init_state = [Vinit, 0]
A = [[0, -1.0 / Cvalue], [1.0 / Lvalue, 0]]
LSCircuitRLCD = FirstOrderLinearDS(init_state, A)
#
# Interactions
#
C = [[-1., 0.]]
D = [[Rvalue]]
B = [[-1. / Cvalue], [0.]]
LTIRCircuitRLCD = FirstOrderLinearTIR(C, B)
LTIRCircuitRLCD.setDPtr(D)
nslaw = ComplementarityConditionNSL(1)
from matplotlib.pyplot import subplot, title, plot, grid, savefig
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
ComplementarityConditionNSL, Interaction,\
Model, EulerMoreauOSI, TimeDiscretisation, LCP, \
TimeStepping
#
# dynamical system
#
init_stateLS1 = [VinitLS1, 0]
LS1_A = [[0, -1.0/Cvalue],
[1.0/Lvalue, 0 ]]
LS1DiodeBridgeCapFilter = FirstOrderLinearDS(init_stateLS1, LS1_A)
init_stateLS2 = [VinitLS2]
LS2_A = [[-1.0/(Rvalue*Cfilt)]]
LS2DiodeBridgeCapFilter = FirstOrderLinearDS(init_stateLS2, LS2_A)
#
# Interactions
#
C = [[0., 0., 1.0],
[0, 0., 0.0],
[-1., 0., 1.0],
[1., 0., 0.0]]
matplotlib.use('Agg')
from matplotlib.pyplot import subplot, title, plot, grid, savefig
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
RelayNSL, Interaction,\
NonSmoothDynamicalSystem, EulerMoreauOSI, TimeDiscretisation, Relay, \
TimeStepping
#
# dynamical system
#
init_state = [0.0, xinit, 0]
A = [[0, 1.0, 0.0], [0.0, 0.0, 1.0], [0.0, -3.0, -2.0]]
LSRelayOscillator = FirstOrderLinearDS(init_state, A)
#
# Interactions
#
C = [[1.0, 0.0, 0.0]]
D = [[0.0]]
B = [[0.0], [0.0], [1.0]]
LTIRRelayOscillator = FirstOrderLinearTIR(C, B)
LTIRRelayOscillator.setDPtr(D)
nslaw = RelayNSL(1)
#theta = 0.5
theta = 1.0
alpha = .01
N = ceil((T-t0)/h)
# matrices
A = zeros((2,2))
A[0, 1] = 1
x0 = array([1.,10.])
B = 500*array([[alpha,1-alpha],[-(1-alpha),alpha]])
C = eye(2)
D = zeros((2,2))
# dynamical systems
process = FirstOrderLinearDS(x0, A)
myProcessRelation = MyR.MyR(C,B)
#myProcessRelation.setDPtr(D)
myNslaw = RelayNSL(2)
myNslaw.display()
myProcessInteraction = Interaction(ninter, myNslaw,
myProcessRelation)
myNSDS = NonSmoothDynamicalSystem()
myNSDS.insertDynamicalSystem(process)
myNSDS.link(myProcessInteraction,process)
filippov = Model(t0,T)
matplotlib.use('Agg')
from matplotlib.pyplot import subplot, title, plot, grid, savefig
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
ComplementarityConditionNSL, Interaction,\
NonSmoothDynamicalSystem, EulerMoreauOSI, TimeDiscretisation, LCP, \
TimeStepping
#
# dynamical system
#
init_stateLS1 = [VinitLS1, 0]
LS1_A = [[0, -1.0 / Cvalue], [1.0 / Lvalue, 0]]
LS1DiodeBridgeCapFilter = FirstOrderLinearDS(init_stateLS1, LS1_A)
init_stateLS2 = [VinitLS2]
LS2_A = [[-1.0 / (Rvalue * Cfilt)]]
LS2DiodeBridgeCapFilter = FirstOrderLinearDS(init_stateLS2, LS2_A)
#
# Interactions
#
C = [[0., 0., 1.0], [0, 0., 0.0], [-1., 0., 1.0], [1., 0., 0.0]]
D = [[0.0, -1.0, 0., 0.], [1.0, 0.0, 1., -1.], [0.0, -1., 0., 0.],
[0., 1., 0., 0.]]
outputSize = 5 # number of variable to store at each time step
# Matrix declaration
A = zeros((ndof, ndof))
x0 = [Xinit, -Xinit]
sensorC = eye(ndof)
Csurface = [[0, 1]]
Brel = [[0], [2]]
#Drel = [[0, 0]]
# Simple check
if h > hControl:
print "hControl must be bigger than h"
exit(1)
# Declaration of the Dynamical System
processDS = FirstOrderLinearDS(x0, A)
# Model
process = Model(t0, T)
process.nonSmoothDynamicalSystem().insertDynamicalSystem(processDS)
# time discretisation
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(process)
def test_diode_bridge():
"""Build diode bridge model"""
# dynamical system
bridge_ds = FirstOrderLinearDS(init_state, A)
# interaction
diode_bridge_relation = FirstOrderLinearTIR(C, B)
diode_bridge_relation.setDPtr(D)
nslaw = ComplementarityConditionNSL(4)
bridge_interaction = Interaction(4, nslaw, diode_bridge_relation, 1)
# Model
diode_bridge = Model(t0, total_time, model_title)
# add the dynamical system in the non smooth dynamical system
diode_bridge.nonSmoothDynamicalSystem().insertDynamicalSystem(bridge_ds)
# link the interaction and the dynamical system
diode_bridge.nonSmoothDynamicalSystem().link(bridge_interaction, bridge_ds)
# Simulation
# (1) OneStepIntegrators
theta = 0.5
integrator = EulerMoreauOSI(theta)
# (2) Time discretisation
time_discretisation = TimeDiscretisation(t0, time_step)
# (3) Non smooth problem
non_smooth_problem = LCP()
# (4) Simulation setup with (1) (2) (3)
bridge_simulation = TimeStepping(time_discretisation,
integrator, non_smooth_problem)
# simulation initialization
diode_bridge.setSimulation(bridge_simulation)
diode_bridge.initialize()
k = 0
h = bridge_simulation.timeStep()
# Number of time steps
N = (total_time - t0) / h
# Get the values to be plotted
# ->saved in a matrix dataPlot
data_plot = empty([N, 8])
x = bridge_ds.x()
print("Initial state : ", x)
y = bridge_interaction.y(0)
print("First y : ", y)
lambda_ = bridge_interaction.lambda_(0)
# For the initial time step:
# time
data_plot[k, 0] = t0
# inductor voltage
data_plot[k, 1] = x[0]
# inductor current
data_plot[k, 2] = x[1]
# diode R1 current
data_plot[k, 3] = y[0]
# diode R1 voltage
data_plot[k, 4] = - lambda_[0]
# diode F2 voltage
data_plot[k, 5] = - lambda_[1]
# diode F1 current
data_plot[k, 6] = lambda_[2]
# resistor current
data_plot[k, 7] = y[0] + lambda_[2]
k += 1
while k < N:
bridge_simulation.computeOneStep()
#non_smooth_problem.display()
data_plot[k, 0] = bridge_simulation.nextTime()
# inductor voltage
data_plot[k, 1] = x[0]
# inductor current
data_plot[k, 2] = x[1]
# diode R1 current
data_plot[k, 3] = y[0]
# diode R1 voltage
data_plot[k, 4] = - lambda_[0]
# diode F2 voltage
data_plot[k, 5] = - lambda_[1]
# diode F1 current
data_plot[k, 6] = lambda_[2]
# resistor current
data_plot[k, 7] = y[0] + lambda_[2]
k += 1
bridge_simulation.nextStep()
#
# comparison with the reference file
#
ref = getMatrix(SimpleMatrix(os.path.join(working_dir,
"data/diode_bridge.ref")))
assert norm(data_plot - ref) < 1e-12
return ref, data_plot
def test_diode_bridge():
"""Build diode bridge model"""
# dynamical system
bridge_ds = FirstOrderLinearDS(init_state, A)
# interaction
diode_bridge_relation = FirstOrderLinearTIR(C, B)
diode_bridge_relation.setDPtr(D)
nslaw = ComplementarityConditionNSL(4)
bridge_interaction = Interaction(4, nslaw, diode_bridge_relation, 1)
# Model
diode_bridge = Model(t0, total_time, model_title)
# add the dynamical system in the non smooth dynamical system
diode_bridge.nonSmoothDynamicalSystem().insertDynamicalSystem(bridge_ds)
# link the interaction and the dynamical system
diode_bridge.nonSmoothDynamicalSystem().link(bridge_interaction, bridge_ds)
# Simulation
# (1) OneStepIntegrators
theta = 0.5
integrator = EulerMoreauOSI(theta)
integrator.insertDynamicalSystem(bridge_ds)
# (2) Time discretisation
time_discretisation = TimeDiscretisation(t0, time_step)
# (3) Non smooth problem
non_smooth_problem = LCP()
# (4) Simulation setup with (1) (2) (3)
bridge_simulation = TimeStepping(time_discretisation, integrator,
non_smooth_problem)
# simulation initialization
diode_bridge.initialize(bridge_simulation)
k = 0
h = bridge_simulation.timeStep()
# Number of time steps
N = (total_time - t0) / h
# Get the values to be plotted
# ->saved in a matrix dataPlot
data_plot = empty([N, 8])
x = bridge_ds.x()
print("Initial state : ", x)
y = bridge_interaction.y(0)
print("First y : ", y)
lambda_ = bridge_interaction.lambda_(0)
# For the initial time step:
# time
data_plot[k, 0] = t0
# inductor voltage
data_plot[k, 1] = x[0]
# inductor current
data_plot[k, 2] = x[1]
# diode R1 current
data_plot[k, 3] = y[0]
# diode R1 voltage
data_plot[k, 4] = -lambda_[0]
# diode F2 voltage
data_plot[k, 5] = -lambda_[1]
# diode F1 current
data_plot[k, 6] = lambda_[2]
# resistor current
data_plot[k, 7] = y[0] + lambda_[2]
k += 1
while k < N:
bridge_simulation.computeOneStep()
#non_smooth_problem.display()
data_plot[k, 0] = bridge_simulation.nextTime()
# inductor voltage
data_plot[k, 1] = x[0]
# inductor current
data_plot[k, 2] = x[1]
# diode R1 current
data_plot[k, 3] = y[0]
# diode R1 voltage
data_plot[k, 4] = -lambda_[0]
# diode F2 voltage
data_plot[k, 5] = -lambda_[1]
# diode F1 current
data_plot[k, 6] = lambda_[2]
# resistor current
data_plot[k, 7] = y[0] + lambda_[2]
k += 1
bridge_simulation.nextStep()
#
# comparison with the reference file
#
ref = getMatrix(
SimpleMatrix(os.path.join(working_dir, "data/diode_bridge.ref")))
assert norm(data_plot - ref) < 1e-12
return ref, data_plot
N = 2*ceil((T-t0)/h) # number of time steps
outputSize = 5 # number of variable to store at each time step
# Matrix declaration
A = zeros((ndof, ndof))
x0 = [Xinit, -Xinit]
sensorC = eye(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 = FirstOrderLinearDS(x0, A)
processDS.setComputebFunction("RelayPlugin", "computeB")
# Model
process = Model(t0, T)
process.nonSmoothDynamicalSystem().insertDynamicalSystem(processDS)
# time discretisation
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
A = zeros((2, 2))
x0 = array([Vinit, -Vinit])
B = 2.0 * eye(2)
C = eye(2)
D = zeros((2, 2))
# Compilation of the C plugin with siconos
import os
print('Compilation of the C plugin with siconos')
from subprocess import call
call(['siconos', '--noexec', '.'], stdout=open(os.devnull, 'wb'))
# dynamical systems
process = FirstOrderLinearDS(x0, A)
process.setComputebFunction('plugins', 'computeB')
myNslaw = RelayNSL(2)
myProcessRelation = FirstOrderLinearR(C, B)
myProcessRelation.setComputeEFunction('plugins', 'computeE')
#myProcessRelation.setDPtr(D)
myProcessInteraction = Interaction(myNslaw, myProcessRelation)
simplerelay = NonSmoothDynamicalSystem(t0, T)
simplerelay.insertDynamicalSystem(process)
simplerelay.link(myProcessInteraction, process)
#myProcessRelation.computeJachx(0, x0, x0 , x0, C)
td = TimeDiscretisation(t0, h)
outputSize = 5 # number of variable to store at each time step
# Matrix declaration
A = zeros((ndof, ndof))
x0 = [Xinit, -Xinit]
sensorC = eye(ndof)
Csurface = [[0, 1]]
Brel = [[0], [2]]
#Drel = [[0, 0]]
# Simple check
if h > hControl:
print("hControl must be bigger than h")
exit(1)
# Declaration of the Dynamical System
processDS = FirstOrderLinearDS(x0, A)
processDS.setComputebFunction("RelayPlugin", "computeB")
# Control simulation
sim = ControlZOHSimulation(t0, T, h)
sim.setSaveOnlyMainSimulation(True)
sim.addDynamicalSystem(processDS)
# Actuator, Sensor & ControlManager
sens = LinearSensor(processDS, sensorC)
sim.addSensor(sens, hControl)
act = LinearSMC(sens)
act.setCsurface(Csurface)
act.setB(Brel)
sim.addActuator(act, hControl)
# Initialization
from matplotlib.pyplot import subplot, title, plot, grid, savefig
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
ComplementarityConditionNSL, Interaction,\
Model, EulerMoreauOSI, TimeDiscretisation, LCP, \
TimeStepping
#
# dynamical system
#
init_state = [Vinit, 0]
A = [[0, -1.0/Cvalue],
[1.0/Lvalue, 0 ]]
LSCircuitRLCD = FirstOrderLinearDS(init_state, A)
#
# Interactions
#
C = [[-1., 0.]]
D = [[Rvalue]]
B = [[ -1./Cvalue], [0.]]
LTIRCircuitRLCD = FirstOrderLinearTIR(C, B)
LTIRCircuitRLCD.setDPtr(D)
nslaw = ComplementarityConditionNSL(1)
outputSize = 5 # number of variable to store at each time step
# Matrix declaration
A = zeros((ndof, ndof))
x0 = [Xinit, -Xinit]
sensorC = eye(ndof)
Csurface = [[0, 1.0]]
Brel = [[0], [2]]
# Simple check
if h > hControl:
print("hControl must be bigger than h")
exit(1)
# Declaration of the Dynamical System
processDS = FirstOrderLinearDS(x0, A)
# Control Simulation
sim = ControlZOHSimulation(t0, T, h)
sim.setSaveOnlyMainSimulation(True)
sim.addDynamicalSystem(processDS)
# Actuator, Sensor & ControlManager
sens = LinearSensor(processDS, sensorC)
sim.addSensor(sens, hControl)
act = ExplicitLinearSMC(sens)
act.setCsurface(Csurface)
act.setB(Brel)
sim.addActuator(act, hControl)
# Initialization
sim.initialize()
from matplotlib.pyplot import subplot, title, plot, grid, savefig
from siconos.kernel import FirstOrderLinearDS, FirstOrderLinearTIR, \
ComplementarityConditionNSL, Interaction,\
Model, EulerMoreauOSI, TimeDiscretisation, LCP, \
TimeStepping
#
# 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.]]
ninter = 2 theta = 0.5 alpha = .01 N = int((T - t0) / h) # matrices A = zeros((2, 2)) A[0, 1] = 1 x0 = array([1., 10.]) B = 500 * array([[alpha, 1 - alpha], [-(1 - alpha), alpha]]) C = eye(2) D = zeros((2, 2)) # dynamical systems process = FirstOrderLinearDS(x0, A) myProcessRelation = ZhuravlevTwistingR(C, B) myNslaw = RelayNSL(2) myNslaw.display() myProcessInteraction = Interaction(myNslaw, myProcessRelation) filippov = NonSmoothDynamicalSystem(t0, T) filippov.insertDynamicalSystem(process) filippov.link(myProcessInteraction, process) td = TimeDiscretisation(t0, h) s = TimeStepping(filippov, td) myIntegrator = EulerMoreauOSI(theta)
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(os.path.join(working_dir,"data/diode_bridge.ref")))
print(norm(dataPlot - ref))
assert (norm(dataPlot - ref) < 1e-12)
return ref, dataPlot
