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#! /usr/bin/env python
from __future__ import print_function
from openturns import *
TESTPREAMBLE()
RandomGenerator.SetSeed(0)
try:
inDim = 3
outDim = 1
formula = [
'sin(_pi*X1)+7*sin(_pi*X2)*sin(_pi*X2)+0.1*((_pi*X3)*(_pi*X3)*(_pi*X3)*(_pi*X3))*sin(_pi*X1)']
model = NumericalMathFunction(['X1', 'X2', 'X3'], ['Y'], formula)
distribution = ComposedDistribution(
[Uniform(-1.0, 1.0)] * inDim, IndependentCopula(inDim))
size = 10000
sample1 = distribution.getSample(size)
sample2 = distribution.getSample(size)
sensitivityAnalysis = SensitivityAnalysis(sample1, sample2, model)
sensitivityAnalysis.setBlockSize(17)
secondOrderIndices = sensitivityAnalysis.getSecondOrderIndices()
firstOrderIndices = sensitivityAnalysis.getFirstOrderIndices()
totalOrderIndices = sensitivityAnalysis.getTotalOrderIndices()
print("First order Sobol indice of Y|X1 = %.6f" % firstOrderIndices[0])
print("Total order Sobol indice of Y|X3 = %.6f" % totalOrderIndices[2])
print("Second order Sobol indice of Y|X1,X3 = %.6f" %
secondOrderIndices[0, 2])
except:
import sys
print("t_SensitivityAnalysis_std.py", sys.exc_info()[0], sys.exc_info()[1])
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