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//                                               -*- C++ -*-
/**
 *  @file  QuadraticCumul.hxx
 *  @brief
 *
 *  (C) Copyright 2005-2011 EDF-EADS-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 2.1 of the License.
 *
 *  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, write to the Free Software
 *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307 USA
 *
 *  @author: $LastChangedBy: schueller $
 *  @date:   $LastChangedDate: 2011-04-11 12:32:27 +0200 (Mon, 11 Apr 2011) $
 *  Id:      $Id: QuadraticCumul.hxx 1866 2011-04-11 10:32:27Z schueller $
 */
#ifndef OPENTURNS_QUADRATICCUMUL_HXX
#define OPENTURNS_QUADRATICCUMUL_HXX

#include "PersistentObject.hxx"
#include "NumericalPoint.hxx"
#include "NumericalPointWithDescription.hxx"
#include "RandomVector.hxx"
#include "Exception.hxx"
#include "SymmetricTensor.hxx"
#include "CovarianceMatrix.hxx"
#include "Matrix.hxx"
#include "Graph.hxx"

namespace OpenTURNS
{

  namespace Uncertainty
  {

    namespace Algorithm
    {


      /**
       * @class QuadraticCumul
       * QuadraticCumul implements the mean and covariance of a random vector
       Y=G(X) by implementing the Taylor approximation of G
      */

      class QuadraticCumul
        : public Base::Common::PersistentObject
      {

        CLASSNAME;
      public:

        typedef Base::Type::NumericalPoint                          NumericalPoint;
        typedef Base::Type::NumericalPointWithDescription           NumericalPointWithDescription;
        typedef Base::Type::SymmetricTensor                         SymmetricTensor;
        typedef Base::Type::Matrix                                  Matrix;
        typedef Base::Stat::CovarianceMatrix                        CovarianceMatrix;
        typedef Base::Common::InvalidArgumentException              InvalidArgumentException;
        typedef Base::Common::InternalException                     InternalException;
        typedef Base::Common::NotDefinedException                   NotDefinedException;
        typedef Base::Common::NotSymmetricDefinitePositiveException NotSymmetricDefinitePositiveException;
        typedef Base::Common::InvalidDimensionException             InvalidDimensionException;
        typedef Model::RandomVector                                 RandomVector;
        typedef Base::Graph::Graph                                  Graph;
        typedef Base::Common::StorageManager                        StorageManager;

        /** Default constructor */
        QuadraticCumul() {};

        /** Constructor with parameters */
        explicit QuadraticCumul(const RandomVector & limitStateVariable, const String & name = OT::DefaultName)
          /* throw(InvalidArgumentException) */;


        /** Virtual constructor */
        virtual QuadraticCumul * clone() const;

        /** String converter */
        String __repr__() const;

        /** limitStateVariable accessor */
        RandomVector getLimitStateVariable() const;

        /** meanFirstOrder accessor */
        NumericalPoint getMeanFirstOrder() const;

        /** meanSecondOrder accessor */
        NumericalPoint getMeanSecondOrder() const;

        /** covariance accessor */
        CovarianceMatrix getCovariance() const;

        /** Value at mean accessor */
        NumericalPoint getValueAtMean() const;

        /** Gradient at mean accessor */
        Matrix getGradientAtMean() const;

        /** Hessian at mean accessor */
        SymmetricTensor getHessianAtMean() const;

        /** importance factors accessor */
        NumericalPointWithDescription getImportanceFactors() const;

        /** ImportanceFactors graph */
        Graph drawImportanceFactors() const;

        /** Method save() stores the object through the StorageManager */
        void save(StorageManager::Advocate & adv) const;

        /** Method load() reloads the object from the StorageManager */
        void load(StorageManager::Advocate & adv);

      protected:

        friend class Base::Common::Factory<QuadraticCumul>;

      private:

        /** the function that computes the first order evaluation of the mean vector  */
        void computeMeanFirstOrder() const
          /* throw(InvalidArgumentException, InternalException, NotDefinedException) */;

        /** the function that computes the second order evaluation of the mean vector */
        void computeMeanSecondOrder() const
          /* throw(InvalidArgumentException, InternalException, NotDefinedException) */;

        /** the function that computes the matrix covariance */
        void computeCovariance() const
          /* throw(NotSymmetricDefinitePositiveException, InvalidArgumentException, InternalException, NotDefinedException) */;

        /** the function that computes the importance factors only in the scalar case */
        void computeImportanceFactors () const
          /* throw(NotSymmetricDefinitePositiveException, InvalidDimensionException, InvalidArgumentException, InternalException, NotDefinedException) */;

        RandomVector limitStateVariable_;
        mutable NumericalPoint meanInputVector_;
        mutable NumericalPoint valueAtMean_;
        mutable Matrix gradientAtMean_;
        mutable SymmetricTensor hessianAtMean_;
        mutable Bool isAlreadyComputedValue_;
        mutable Bool isAlreadyComputedGradient_;
        mutable Bool isAlreadyComputedHessian_;
        mutable Bool isAlreadyComputedMeanFirstOrder_;
        mutable Bool isAlreadyComputedMeanSecondOrder_;
        mutable Bool isAlreadyComputedCovariance_;
        mutable Bool isAlreadyComputedImportanceFactors_;
        mutable CovarianceMatrix inputCovariance_;
        mutable NumericalPoint meanFirstOrder_;
        mutable NumericalPoint meanSecondOrder_;
        mutable CovarianceMatrix covariance_;
        mutable NumericalPointWithDescription importanceFactors_;

      } ; /* class QuadraticCumul */

    } /* namespace Algorithm */
  } /* namespace Uncertainty */
} /* namespace OpenTURNS */

#endif /* OPENTURNS_QUADRATICCUMUL_HXX */