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#! /usr/bin/env python
from __future__ import print_function
import openturns as ot
eps = 1e-2
# Instance creation
myFunc = ot.NumericalMathFunction(['x1', 'x2'], ['f1', 'f2', 'f3'], [
'x1*sin(x2)', 'cos(x1+x2)', '(x2+1)*exp(x1-2*x2)'])
epsilon = ot.NumericalPoint(myFunc.getInputDimension(), eps)
inPoint = ot.NumericalPoint(epsilon.getDimension(), 1.0)
myHessian = ot.CenteredFiniteDifferenceHessian(
epsilon, myFunc.getEvaluation())
print("myHessian=", repr(myHessian))
print("myFunc.hessian(", repr(inPoint), ")=",
repr(myFunc.hessian(inPoint)))
print("myHessian.hessian(", repr(inPoint), ")=",
repr(myHessian.hessian(inPoint)))
# Substitute the hessian
myFunc.setHessian(ot.CenteredFiniteDifferenceHessian(myHessian))
print("myFunc.hessian(", repr(inPoint), ")=", repr(
myFunc.hessian(inPoint)), " (after substitution)")
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