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// -*- C++ -*-
/**
* @brief The test file of class Function for standard methods
*
* Copyright 2005-2025 Airbus-EDF-IMACS-ONERA-Phimeca
*
* This library is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with this library. If not, see <http://www.gnu.org/licenses/>.
*
*/
#include "openturns/OT.hxx"
#include "openturns/OTtestcode.hxx"
using namespace OT;
using namespace OT::Test;
int main(int, char *[])
{
TESTPREAMBLE;
OStream fullprint(std::cout);
try
{
/** Left hand side of the composition */
Description input(2);
input[0] = "x1";
input[1] = "x2";
Description formula(3);
formula[0] = "x1*sin(x2)";
formula[1] = "cos(x1+x2)";
formula[2] = "(x2+1)*exp(x1-2*x2)";
SymbolicFunction left(input, formula);
/** Right hand side of the composition */
Description input_r(4);
input_r[0] = "x1";
input_r[1] = "x2";
input_r[2] = "x3";
input_r[3] = "x4";
Description formula_r(2);
formula_r[0] = "(x1*x1+x2^3*x1)/(2*x3*x3+x4^4+1)";
formula_r[1] = "cos(x2*x2+x4)/(x1*x1+1+x3^4)";
SymbolicFunction right(input_r, formula_r);
/** Compositon of left and right */
Function composed(ComposedFunction(left, right));
fullprint << "right=" << right << std::endl;
fullprint << "left=" << left << std::endl;
fullprint << "composed=" << composed << std::endl;
/** Does it worked? */
Point x(right.getInputDimension(), 1.0);
Point y(right(x));
Point z(left(y));
Matrix Dy(right.gradient(x));
Matrix Dz(left.gradient(y));
fullprint << "x=" << x << " y=right(x)=" << y << " z=left(y)=" << z << std::endl;
fullprint << "left(right(x))=" << composed(x) << std::endl;
fullprint << "D(right)(x)=" << Dy << " D(left)(y)=" << Dz;
fullprint << " prod=" << Dy * Dz << std::endl;
fullprint << "D(left(right(x)))=" << composed.gradient(x) << std::endl;
SymmetricTensor result(composed.hessian(x));
fullprint << "DD(left(right(x)))=" << std::endl;
for(UnsignedInteger k = 0; k < result.getNbSheets(); k++)
{
for(UnsignedInteger j = 0; j < result.getNbColumns(); j++)
{
for(UnsignedInteger i = 0; i < result.getNbRows(); i++)
{
fullprint << std::setw(14) << std::scientific << std::right << result(i, j, k);
}
fullprint << std::endl;
}
fullprint << std::endl;
}
for (UnsignedInteger i = 0; i < composed.getOutputDimension(); ++i)
{
fullprint << "Marginal " << i << "=" << composed.getMarginal(i) << std::endl;
}
Indices indices(2);
indices[0] = 0;
indices[1] = 1;
fullprint << "Marginal (0,1)=" << composed.getMarginal(indices) << std::endl;
indices[0] = 0;
indices[1] = 2;
fullprint << "Marginal (0,2)=" << composed.getMarginal(indices) << std::endl;
indices[0] = 1;
indices[1] = 2;
fullprint << "Marginal (1,2)=" << composed.getMarginal(indices) << std::endl;
}
catch (TestFailed & ex)
{
std::cerr << ex << std::endl;
return ExitCode::Error;
}
return ExitCode::Success;
}
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