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//                                               -*- C++ -*-
/**
 *  @file  TruncatedNormal.hxx
 *  @brief The TruncatedNormal distribution
 *
 *  (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: souchaud $
 *  @date:   $LastChangedDate: 2011-07-01 10:34:36 +0200 (Fri, 01 Jul 2011) $
 *  Id:      $Id: TruncatedNormal.hxx 1981 2011-07-01 08:34:36Z souchaud $
 */
#ifndef OPENTURNS_TRUNCATEDNORMAL_HXX
#define OPENTURNS_TRUNCATEDNORMAL_HXX

#include "OTprivate.hxx"
#include "NonEllipticalDistribution.hxx"
#include "Matrix.hxx"

namespace OpenTURNS {

  namespace Uncertainty {

    namespace Distribution {


      /**
       * @class TruncatedNormal
       *
       * The TruncatedNormal distribution.
       */
      class TruncatedNormal
        : public Model::NonEllipticalDistribution
      {
        CLASSNAME;
      public:

        typedef Base::Common::InvalidArgumentException               InvalidArgumentException;
        typedef Model::NonEllipticalDistribution                     NonEllipticalDistribution;  // required by SWIG
        typedef NonEllipticalDistribution::NumericalPoint            NumericalPoint;
        typedef NonEllipticalDistribution::NumericalSample           NumericalSample;
        typedef NonEllipticalDistribution::CovarianceMatrix          CovarianceMatrix;
        typedef NonEllipticalDistribution::NumericalPointWithDescriptionCollection  NumericalPointWithDescriptionCollection;
        typedef NonEllipticalDistribution::NotDefinedException       NotDefinedException;
        typedef NonEllipticalDistribution::StorageManager            StorageManager;


        /** Default constructor */
        TruncatedNormal();

        /** Parameters constructor */
        TruncatedNormal(const NumericalScalar mu,
                        const NumericalScalar sigma,
                        const NumericalScalar a,
                        const NumericalScalar b)
          /* throw (InvalidArgumentException) */;



        /** Comparison operator */
        Bool operator ==(const TruncatedNormal & other) const;

        /** String converter */
        String __repr__() const;
        String __str__(const String & offset = "") const;



        /* Interface inherited from Distribution */

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

        /** Get one realization of the TruncatedNormal distribution */
        NumericalPoint getRealization() const;

        /** Get the DDF of the TruncatedNormal distribution */
        using NonEllipticalDistribution::computeDDF;
        NumericalPoint computeDDF(const NumericalPoint & point) const;

        /** Get the PDF of the TruncatedNormal distribution */
        using NonEllipticalDistribution::computePDF;
        NumericalScalar computePDF(const NumericalPoint & point) const;

        /** Get the CDF of the TruncatedNormal distribution */
        using NonEllipticalDistribution::computeCDF;
        NumericalScalar computeCDF(const NumericalPoint & point, const Bool tail = false) const;

        /** Get the characteristic function of the distribution, i.e. phi(u) = E(exp(I*u*X)) */
        NumericalComplex computeCharacteristicFunction(const NumericalScalar x,
                                                       const Bool logScale = false) const;

        /** Get the PDFGradient of the TruncatedNormal distribution */
        NumericalPoint computePDFGradient(const NumericalPoint & point) const;

        /** Get the CDFGradient of the TruncatedNormal distribution */
        NumericalPoint computeCDFGradient(const NumericalPoint & point) const;

        /** Get the standard deviation of the distribution */
        NumericalPoint getStandardDeviation() const /* throw(NotDefinedException) */;

        /** Get the skewness of the distribution */
        NumericalPoint getSkewness() const /* throw(NotDefinedException) */;

        /** Get the kurtosis of the distribution */
        NumericalPoint getKurtosis() const /* throw(NotDefinedException) */;

        /** Parameters value and description accessor */
        NumericalPointWithDescriptionCollection getParametersCollection() const;
        using NonEllipticalDistribution::setParametersCollection;
        void setParametersCollection(const NumericalPointCollection & parametersCollection);

        /* Interface specific to TruncatedNormal */

        /** Mu accessor */
        void setMu(const NumericalScalar mu);
        NumericalScalar getMu() const;

        /** Sigma accessor */
        void setSigma(const NumericalScalar sigma)
          /* throw (InvalidArgumentException) */;
        NumericalScalar getSigma() const;

        /** A accessor */
        void setA(const NumericalScalar a);
        NumericalScalar getA() const;

        /** B accessor */
        void setB(const NumericalScalar b);
        NumericalScalar getB() 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:

      private:

        /** Compute the mean of the distribution */
        void computeMean() const;

        /** Compute the covariance of the distribution */
        void computeCovariance() const;

        /** Get the quantile of the TruncatedNormal distribution */
        NumericalScalar computeScalarQuantile(const NumericalScalar prob,
                                              const Bool tail = false,
                                              const NumericalScalar precision = DefaultQuantileEpsilon) const;

        /** Compute the numerical range of the distribution given the parameters values */
        void computeRange();

        /** The main parameter set of the distribution */
        NumericalScalar mu_;
        NumericalScalar sigma_;
        NumericalScalar a_;
        NumericalScalar b_;
        /** Usefull quantities */
        NumericalScalar aNorm_;
        NumericalScalar bNorm_;
        NumericalScalar phiANorm_;
        NumericalScalar phiBNorm_;
        NumericalScalar PhiANorm_;
        NumericalScalar PhiBNorm_;
        NumericalScalar normalizationFactor_;

      }; /* class TruncatedNormal */


    } /* namespace Distribution */
  } /* namespace Uncertainty */
} /* namespace OpenTURNS */

#endif /* OPENTURNS_TRUNCATEDNORMAL_HXX */