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#!/usr/bin/env python
import openturns as ot
import openturns.testing
import persalys
ot.RandomGenerator.SetSeed(0)
myStudy = persalys.Study('myStudy')
persalys.Study.Add(myStudy)
# Models
x1 = persalys.Input('x1', 0.2, ot.Uniform(0., 10.))
x2 = persalys.Input('x2', 1.2, ot.Uniform(0., 10.))
x3 = persalys.Input('x3', 1.0)
fake_var = persalys.Output('fake_var')
fake_var.setIsSelected(False)
y0 = persalys.Output('y0')
fake_y0 = persalys.Output('fake_y0')
y1 = persalys.Output('y1')
# model 1 ##
formula_fake_var = 'x1+'
formula_y0 = 'cos(0.5*x1) + sin(x2)'
formula_y1 = 'cos(0.5*x1) + sin(x2) + x3'
model1 = persalys.SymbolicPhysicalModel('model1', [x1, x2, x3], [fake_var, y0, fake_y0, y1], [
formula_fake_var, formula_y0, formula_y0, formula_y1])
myStudy.add(model1)
# model 3 ##
filename = 'data.csv'
cDist = ot.JointDistribution(
[ot.Normal(), ot.Gumbel(), ot.Normal(), ot.Uniform()],
ot.BlockIndependentCopula([ot.IndependentCopula(2), ot.GumbelCopula()]))
sample = cDist.getSample(20)
sample.exportToCSVFile(filename, ' ')
model3 = persalys.DataModel(
'model3', 'data.csv', [0, 2, 3], [1], ['x_0', 'x_2', 'x_3'], ['x_1'])
myStudy.add(model3)
# Design of Experiment ##
probaDesign = persalys.ProbabilisticDesignOfExperiment('probaDesign', model1, 20, "MONTE_CARLO")
probaDesign.run()
myStudy.add(probaDesign)
# 1- meta model1 ##
# 1-a Kriging ##
kriging = persalys.KrigingAnalysis('kriging', probaDesign)
kriging.setBasis(ot.LinearBasisFactory(2).build())
kriging.setCovarianceModel(ot.MaternModel(2))
kriging.setTestSampleValidation(True)
kriging.setKFoldValidation(True)
kriging.setInterestVariables(['y0', 'y1'])
myStudy.add(kriging)
# 1-b Chaos ##
chaos1 = persalys.FunctionalChaosAnalysis('chaos_1', probaDesign)
chaos1.setChaosDegree(7)
chaos1.setSparseChaos(True)
chaos1.setTestSampleValidation(True)
chaos1.setKFoldValidation(True)
chaos1.setInterestVariables(['y1'])
myStudy.add(chaos1)
# 2- central tendancy ##
# 2-a Monte Carlo ##
monteCarlo = persalys.MonteCarloAnalysis('MonteCarlo', model1)
monteCarlo.setIsConfidenceIntervalRequired(False)
monteCarlo.setMaximumCoefficientOfVariation(-1.)
monteCarlo.setMaximumElapsedTime(1000)
monteCarlo.setMaximumCalls(20)
monteCarlo.setSeed(2)
monteCarlo.setInterestVariables(['y0', 'y1'])
myStudy.add(monteCarlo)
# 2-b Taylor Expansion ##
taylor = persalys.TaylorExpansionMomentsAnalysis('Taylor', model1)
taylor.setInterestVariables(['y0', 'y1'])
myStudy.add(taylor)
# 2-c Taylor Expansion which generate an error
taylor2 = persalys.TaylorExpansionMomentsAnalysis('Taylor2', model1)
taylor2.setInterestVariables(['fake_var'])
myStudy.add(taylor2)
# 3- reliability ##
# limit state ##
limitState = persalys.LimitState(
'aLimitState', model1, 'y1', ot.Greater(), 0.5)
myStudy.add(limitState)
optimAlgo = ot.AbdoRackwitz()
optimAlgo.setMaximumIterationNumber(150)
optimAlgo.setMaximumAbsoluteError(1e-3)
# 3-a Monte Carlo ##
monteCarloReliability = persalys.MonteCarloReliabilityAnalysis('MonteCarloReliability', limitState)
monteCarloReliability.setMaximumCoefficientOfVariation(-1.)
monteCarloReliability.setMaximumElapsedTime(1000)
monteCarloReliability.setMaximumCalls(20)
monteCarloReliability.setSeed(2)
myStudy.add(monteCarloReliability)
# 3-b FORM IS ##
form_is = persalys.FORMImportanceSamplingAnalysis('FORM_IS', limitState)
form_is.setOptimizationAlgorithm(optimAlgo)
form_is.setMaximumCoefficientOfVariation(-1.)
form_is.setMaximumElapsedTime(1000)
form_is.setMaximumCalls(20)
form_is.setSeed(2)
myStudy.add(form_is)
# 3-c FORM ##
form = persalys.FORMAnalysis('FORM', limitState)
form.setOptimizationAlgorithm(optimAlgo)
myStudy.add(form)
# 3-d SORM ##
sorm = persalys.SORMAnalysis('SORM', limitState)
sorm.setOptimizationAlgorithm(optimAlgo)
myStudy.add(sorm)
# 4- sensitivity ##
# 4-a Sobol ##
sobol = persalys.SobolAnalysis('Sobol', model1)
sobol.setMaximumConfidenceIntervalLength(-1)
sobol.setMaximumElapsedTime(1000)
sobol.setMaximumCalls(20)
sobol.setReplicationSize(3)
sobol.setBlockSize(1)
sobol.setSeed(2)
sobol.setInterestVariables(['y0', 'y1'])
myStudy.add(sobol)
# 4-b SRC ##
src = persalys.SRCAnalysis('SRC', model1)
src.setSimulationsNumber(20)
src.setSeed(2)
src.setInterestVariables(['y0', 'y1'])
myStudy.add(src)
# 7- data analysis ##
dataAnalysis = persalys.DataAnalysis('DataAnalysis', model3)
myStudy.add(dataAnalysis)
# 8- Marginals inference ##
inference = persalys.InferenceAnalysis('inference', model3)
inference.setInterestVariables(['x_0', 'x_3'])
factories = [ot.NormalFactory(), ot.GumbelFactory()]
inference.setDistributionsFactories('x_3', factories)
inference.setLevel(0.1)
myStudy.add(inference)
# 9- Copula inference ##
copulaInference = persalys.CopulaInferenceAnalysis('copulaInference', model3)
factories = [ot.NormalCopulaFactory(), ot.GumbelCopulaFactory()]
copulaInference.setDistributionsFactories(['x_0', 'x_3'], factories)
myStudy.add(copulaInference)
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