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//                                               -*- C++ -*-
/**
 *  @file  SobolSequence.hxx
 *  @brief Implementation of the Sobol sequence
 *
 *  (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: $LastChangedBy$
 *  @date:   $LastChangedDate$
 *  Id:      $Id$
 */

#ifndef OPENTURNS_SOBOLSEQUENCE_HXX
#define OPENTURNS_SOBOLSEQUENCE_HXX

#include <stdint.h>
#include "LowDiscrepancySequenceImplementation.hxx"

namespace OpenTURNS
{
  namespace Base
  {
    namespace Stat
    {
      /**
       * @class SobolSequence
       */

      class SobolSequence :
        public LowDiscrepancySequenceImplementation
      {
        CLASSNAME;

      public:
        // this implementation supports dimensions up to 40
        enum {MAXIMUM_NUMBER_OF_DIMENSION = 40};
        static const UnsignedLong MaximumNumberOfDimension;

        // this implementation has a cycle of 2^62 = ~5e18, thanks to the use of 64 bits integers (uint64_t)
        enum {MAXIMUM_BASE2_LOGARITHM = 62};
        static const UnsignedLong MaximumBase2Logarithm;

        // this value is 2^-MaximumBase2Logarithm, precomputed to speed up generation
        static const NumericalScalar Epsilon;

        // maximum number of columns in InitialDirectionNumber array = 8
        enum {MAXIMUM_INITIAL_DEGREE = 8};
        static const UnsignedLong MaximumInitialDegree;

        // numbers used to generate the coefficients of directionNumber_[][] each row corresponds to a component (dimension)
        static const UnsignedLong InitialDirectionNumber[MAXIMUM_NUMBER_OF_DIMENSION][MAXIMUM_INITIAL_DEGREE];

        // a primitive polynomial used to generate the sequence
        static const uint64_t PrimitivePolynomial[MAXIMUM_NUMBER_OF_DIMENSION];

        // the initial seed
        static const UnsignedLong InitialSeed;

      public:
        typedef LowDiscrepancySequenceImplementation::NumericalPoint NumericalPoint;

        /** Constructor with parameters */
        explicit SobolSequence(const UnsignedLong dimension = 1);

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

        /** Initialize the sequence */
        void initialize(const UnsignedLong dimension);

        /** Generate a quasi-random vector of numbers uniformly distributed over [0, 1[ */
        using LowDiscrepancySequenceImplementation::generate;
        NumericalPoint generate();

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

      protected:
        /** The numbers used to generate the sequence */
        uint64_t directionNumber_[MAXIMUM_NUMBER_OF_DIMENSION][MAXIMUM_BASE2_LOGARITHM];
        uint64_t integerSequence_[MAXIMUM_NUMBER_OF_DIMENSION];

        /** Current seed */
        uint64_t seed_;

      private:
        /** return 2^n */
        static uint64_t inline power2(const UnsignedLong n);

        /** Returns the position of the lowest '0' in the binary representation of an unsigned integer */
        static UnsignedLong computePositionOfLowest0Bit(const uint64_t number);

      }; /* class SobolSequence */

    } /* namespace Stat */
  } /* namespace Base */
} /* namespace OpenTURNS */

#endif /* OPENTURNS_SOBOLSEQUENCE_HXX */