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//                                               -*- C++ -*-
/**
 *  @file  NumericalMathFunction.hxx
 *  @brief The class that implements numerical math functions
 *
 *  (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: 2011-05-24 19:30:41 +0200 (Tue, 24 May 2011) $
 *  Id:      $Id: NumericalMathFunction.hxx 1910 2011-05-24 17:30:41Z schueller $
 */
#ifndef OPENTURNS_NUMERICALMATHFUNCTION_HXX
#define OPENTURNS_NUMERICALMATHFUNCTION_HXX

#include "TypedInterfaceObject.hxx"
#include "NumericalMathFunctionImplementation.hxx"
#include "ComparisonOperator.hxx"
#include "Collection.hxx"

namespace OpenTURNS {

  namespace Base {

    namespace Func {


      /**
       * @class NumericalMathFunction
       * @brief Simulates a numerical math function
       * @ingroup Function
       *
       * The class that simulates a numerical math function,
       * its gradient and its hessian. This class is just an interface
       * to actual implementation objects that can be hot-replaced
       * during computation. Each implementation object refers to
       * the function, the gradient or the hessian.
       * @see NumericalMathFunctionImplementation
       */
      class NumericalMathFunction
        : public Common::TypedInterfaceObject<NumericalMathFunctionImplementation>
      {
        CLASSNAME;
      public:

        /* Some typedefs for easy reading */
        typedef NumericalMathFunctionImplementation::Implementation                Implementation;
        typedef NumericalMathFunctionImplementation::EvaluationImplementation      EvaluationImplementation;
        typedef NumericalMathFunctionImplementation::GradientImplementation        GradientImplementation;
        typedef NumericalMathFunctionImplementation::HessianImplementation         HessianImplementation;
        typedef NumericalMathFunctionImplementation::NumericalPoint                NumericalPoint;
        typedef NumericalMathFunctionImplementation::NumericalPointWithDescription NumericalPointWithDescription;
        typedef NumericalMathFunctionImplementation::NumericalSample               NumericalSample;
        typedef NumericalMathFunctionImplementation::Matrix                        Matrix;
        typedef NumericalMathFunctionImplementation::SymmetricTensor               SymmetricTensor;
        typedef NumericalMathFunctionImplementation::Indices                       Indices;
        typedef NumericalMathFunctionImplementation::Description                   Description;
        typedef NumericalMathFunctionImplementation::InvalidArgumentException      InvalidArgumentException;
        typedef NumericalMathFunctionImplementation::InternalException             InternalException;
        typedef Common::ComparisonOperator                                         ComparisonOperator;
        typedef Type::Collection<NumericalMathFunction>                            NumericalMathFunctionCollection;

        /** Default constructor */
        NumericalMathFunction();

        /** Constructor from a wrapper name
         * @param name The name of the wrapper expurged of its extension
         * @see WrapperFile
         */
        NumericalMathFunction(const String & name);

        /** Constructor from NumericalMathFunctionImplementation */
        NumericalMathFunction(const NumericalMathFunctionImplementation & implementation);

#ifndef SWIG
        /** Constructor from implementation */
        NumericalMathFunction(const Implementation & p_implementation);

        /** Constructor from implementation pointer */
        NumericalMathFunction(NumericalMathFunctionImplementation * p_implementation);
#endif

        /** @brief Composition constructor
         *
         * Builds a new %NumericalMathFunction from two others as if they were mathematicaly composed,
         *
         * Example: h = f o g
         * - f is the left %NumericalMathFunction
         * - g is the right %NumericalMathFunction
         * - h is the composed %NumericalMathFunction
         * .
         * The condition for successful composition is that the dimension of the output of g is the dimension
         * of the input of f. The composed %NumericalMathFunction has the input dimension of g and the output dimension
         * of f.
         * @param left The left %NumericalMathFunction (aka f)
         * @param right The right %NumericalMathFunction (aka g)
         */
        NumericalMathFunction(const NumericalMathFunction & left,
                              const NumericalMathFunction & right);

        /** @brief Analytical formula constructor
         *
         * Builds a new %NumericalMathFunction by analytical expression parsing. The expression involving the input
         * variables (stored in \e inputVariablesNames) to produce the output variables (stored in \e outputVariablesNames)
         * are described in \e formulas.
         *
         * The input dimension of the new %NumericalMathFunction is the size of \e inputVariablesNames and
         * the output dimension of the new %NumericalMathFunction is the size of \e outputVariablesName.
         * @param inputVariablesNames The ordered collection of input variables names
         * @param outputVariablesNames The ordered collection of output variables names
         * @param formulas The ordered collection of analytical expressions to compute the output variables
         */
        NumericalMathFunction(const Description & inputVariablesNames,
                              const Description & outputVariablesNames,
                              const Description & formulas);

        /** Same as the previous one, but with default names for the output variables */
        NumericalMathFunction(const Description & inputVariablesNames,
                              const Description & formulas);

        /** Indicator function constructor */
        NumericalMathFunction(const NumericalMathFunction & function,
                              const ComparisonOperator & comparisonOperator,
                              const NumericalScalar threshold);

        /** Aggregated function constructor: the output is the aggregation of the several functions */
        NumericalMathFunction(const NumericalMathFunctionCollection & functionCollection);

        /** Linear combination function constructor */
        NumericalMathFunction(const NumericalMathFunctionCollection & functionCollection,
                              const NumericalPoint & coefficients);

        /** Dual linear combination function constructor */
        NumericalMathFunction(const NumericalMathFunctionCollection & functionCollection,
                              const NumericalSample & coefficients);

        /** Simplified analytical formula constructor */
        NumericalMathFunction(const String & inputVariableName,
                              const String & formula,
                              const String & outputVariableName = "outputVariable");

#ifndef SWIG
        /** Constructor from implementations */
        NumericalMathFunction(const EvaluationImplementation & evaluationImplementation,
                              const GradientImplementation & gradientImplenmentation,
                              const HessianImplementation  & hessianImplementation);
#endif

        /** Constructor from a wrapper file */
        NumericalMathFunction(const WrapperFile & wrapperFile);

        /** Constructor from samples */
        NumericalMathFunction(const NumericalSample & inputSample,
                              const NumericalSample & outputSample);

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

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

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



        /** @brief Enable the internal cache
         *
         * The cache stores previously computed output values, so calling the cache before processing the %NumericalMathFunction
         * can save much time and avoid useless computations. However, calling the cache can eat time if the computation is
         * very short. So cache is disabled by default, except when the underlying implementation uses a wrapper.
         *
         * The reason is that building and linking to a wrapper is an extra burden that is valuable only if the computation
         * code is long enough to justify it. Calling the cache in this case will save time for sure.
         */
        void enableCache() const;
        /** @brief Disable the internal cache
         * @see enableCache()
         */
        void disableCache() const;
        /** @brief Test the internal cache activity
         * @see enableCache()
         */
        Bool isCacheEnabled() const;


        /** Function implementation accessors */
        void setEvaluationImplementation(const EvaluationImplementation & functionImplementation);
        const EvaluationImplementation & getEvaluationImplementation() const;

        /** Gradient implementation accessors */
        void setGradientImplementation(const NumericalMathGradientImplementation & gradientImplementation);
#ifndef SWIG
        /** Gradient implementation accessors */
        void setGradientImplementation(const GradientImplementation & gradientImplementation);
#endif
        const GradientImplementation & getGradientImplementation() const;

        /** Hessian implementation accessors */
        void setHessianImplementation(const NumericalMathHessianImplementation & hessianImplementation);
#ifndef SWIG
        /** Hessian implementation accessors */
        void setHessianImplementation(const HessianImplementation & hessianImplementation);
#endif
        const HessianImplementation & getHessianImplementation() const;

        /** Initial function implementation accessors */
        const EvaluationImplementation & getInitialEvaluationImplementation() const;

        /** Initial gradient implementation accessors */
        const GradientImplementation & getInitialGradientImplementation() const;

        /** Initial hessian implementation accessors */
        const HessianImplementation & getInitialHessianImplementation() const;

        /** Flag for default gradient accessors */
        Bool getUseDefaultGradientImplementation() const;
        void setUseDefaultGradientImplementation(const Bool gradientFlag);

        /** Flag for default hessian accessors */
        Bool getUseDefaultHessianImplementation() const;
        void setUseDefaultHessianImplementation(const Bool hessianFlag);


        /** Multiplication of two 1D output functions with the same input dimension */
        virtual NumericalMathFunction operator * (const NumericalMathFunction & right) const;

        /** Operator () */
        NumericalPoint operator() (const NumericalPoint & inP) const
          /* throw(InvalidArgumentException,InternalException) */;
        NumericalSample operator() (const NumericalSample & inS) const
          /* throw(InvalidArgumentException,InternalException) */;

        /** Method gradient() returns the Jacobian transposed matrix of the function at point */
        Matrix gradient(const NumericalPoint & inP) const
          /* throw(InvalidArgumentException,InternalException) */;

        /** Method hessian() returns the symmetric tensor of the function at point */
        SymmetricTensor hessian(const NumericalPoint & inP) const
          /* throw(InvalidArgumentException,InternalException) */;

        /** Gradient according to the marginal parameters */
        virtual Matrix parametersGradient(const NumericalPoint & inP) const;

        /** Parameters value and description accessor */
        virtual NumericalPointWithDescription getParameters() const;
        virtual void setParameters(const NumericalPointWithDescription & parameters);

        /** Accessor for input point dimension
         * @deprecated
         * This method is deprecated. Use getInputDimension() instead.
         */
        UnsignedLong getInputNumericalPointDimension() const DEPRECATED
          /* throw(InternalException) */;

        /** Accessor for output point dimension
         * @deprecated
         * This method is deprecated. Use getOutputDimension() instead.
         */
        UnsignedLong getOutputNumericalPointDimension() const DEPRECATED
          /* throw(InternalException) */;

        /** Accessor for input point dimension */
        UnsignedLong getInputDimension() const
          /* throw(InternalException) */;

        /** Accessor for output point dimension */
        UnsignedLong getOutputDimension() const
          /* throw(InternalException) */;

        /** Description Accessor, i.e. the names of the input and output parameters */
        void setDescription(const Description & description);
        Description getDescription() const;

        /** Input description Accessor, i.e. the names of the input parameters */
        Description getInputDescription() const;

        /** Output description Accessor, i.e. the names of the Output parameters */
        Description getOutputDescription() const;

        /** Get the i-th marginal function */
        NumericalMathFunction getMarginal(const UnsignedLong i) const /* throw(InvalidArgumentException) */;

        /** Get the function corresponding to indices components */
        NumericalMathFunction getMarginal(const Indices & indices) const /* throw(InvalidArgumentException) */;

        /** Number of calls to the evaluation */
        UnsignedLong getEvaluationCallsNumber() const;

        /** Number of calls to the gradient */
        UnsignedLong getGradientCallsNumber() const;

        /** Number of calls to the hessian */
        UnsignedLong getHessianCallsNumber() const;

        /** Static methods for documentation of analytical fnctions */
        static Description GetValidConstants();
        static Description GetValidFunctions();
        static Description GetValidOperators();

      }; /* class NumericalMathFunction */


    } /* namespace Func */
  } /* namespace Base */
} /* namespace OpenTURNS */

#endif /* OPENTURNS_NUMERICALMATHFUNCTION_HXX */