IndexedMoments.H

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#ifdef CH_LANG_CC
/*
 *      _______              __
 *     / ___/ /  ___  __ _  / /  ___
 *    / /__/ _ \/ _ \/  V \/ _ \/ _ \
 *    \___/_//_/\___/_/_/_/_.__/\___/
 *    Please refer to Copyright.txt, in Chombo's root directory.
 */
#endif

#ifndef _INDEXEDMOMENTS_H_
#define _INDEXEDMOMENTS_H_

#include "MayDay.H"
#include "IndexTM.H"
#include "Vector.H"
#include "SPACE.H"
#include "CH_EBIS_ORDER.H"

#include "NamespaceHeader.H"
using std::map;

#define CH_IM_MAX_POWER  8

//! \class IndexedMoments
//! Vector-like container for multi-indexed Real values up to 
//! some max multi-index P (sum of indicies <= P). 
//! Layout is 0th dim first, then 1st, etc.
//! \tparam D The Dimension of the container
template <int Dim, int P>
class IndexedMoments
{
public:
  /// constructor---make statics first time called
  IndexedMoments();


  //! Destructor
  ~IndexedMoments() {};


  //! Retrieve the moment from the index 
  //! \params a_index The lexigraphical index to the data
  Real& operator[](int a_i) 
  {
    return m_moms[a_i]; 
  };

  //! Retrieve the moment from the index 
  //! \params a_index The lexigraphical index to the data
  const Real& operator[](int a_i)  const
  {
    return m_moms[a_i]; 
  };

  //! Retrieve the moment from the index 
  //! \params a_index The multi-index that's needed
  Real& operator[](const IndexTM<int,Dim>& a_index) 
  {
    return m_moms[indexOf(a_index)]; 
  };

  //! Retrieve the moment from the index 
  //! \params a_index The multi-index that's needed
  const Real& operator[](const IndexTM<int,Dim>& a_index) const
  {
    return m_moms[indexOf(a_index)]; 
  };

  ///add compoenentwise
  IndexedMoments<Dim, P>&  operator+=(const IndexedMoments<Dim, P>& increment);

  ///multiply each component by constant
  IndexedMoments<Dim, P>&  operator*=(const Real& a_factor);


  ///number of reals in the vector
  static int size()
  {
    if(!s_staticsSet) 
      {
        setStatics();
      }
    return s_size;
  }

  ///for linearization
  static size_t linearSize()
  {
    int numReals = size();
    //add in the real numbers
    size_t retval = numReals*sizeof(Real);

    //add in the m_isRegular
    retval += sizeof(int);
    
    return retval;
  }

  void linearOut(void* const a_outbuf) const
  {
    Real* realbuf = (Real*) a_outbuf;
    for(int ivec = 0; ivec < size(); ivec++)
      {
        *realbuf = m_moms[ivec];
        ++realbuf;
      }
    int* intbuf = (int *) realbuf;
    *intbuf =  m_isRegular;
  }

  void linearIn(const void* const a_inbuf)
  {
    Real* realbuf = (Real*) a_inbuf;
    for(int ivec = 0; ivec < size(); ivec++)
      {
        m_moms[ivec]= *realbuf;
        ++realbuf;
      }
    int* intbuf = (int *) realbuf;
    m_isRegular = *intbuf ;
 }

  /// set to a regular IndexTM
  void setRegular(const Real a_dx);

  //sick of misspelling this one
  void setToRegular(const Real a_dx)
    {
      setRegular(a_dx);
    }

  ///monomial powers 
  static const Vector<IndexTM<int,Dim> >& getMonomialPowers()
  {
    if(!s_staticsSet) 
      {
        setStatics();
      }
    return s_multiIndicies;
  }

  ///
  bool isRegular() const
  {
    return (m_isRegular==1);
  }

  /// for use with irregnode
  IndexedMoments<Dim, P>& operator=(const map<IndexTM<int, Dim>,  Real>& a_mapin);

  /// 
  IndexedMoments<Dim, P>& operator=(const IndexedMoments<Dim, P>& a_input)
  {
    if(&a_input != this)
      {
        m_isRegular = a_input.m_isRegular;
        m_moms      = a_input.m_moms;
      }
    return *this;
  }
  

  ///
  /**
     shift moment by the input vector distance.
     this changes the current object from integral(x^p)
     to integral((x+x0)^p), where x0 = a_distance
  */
  void shift(const IndexTM<Real, Dim>& a_distance);
  
  ///
  void setToZero()
  {
    for(int ivec = 0; ivec < s_size; ivec++)
      {
        m_moms[ivec] = 0.;
      }
  }

  /// Calculate what linear index this multi-index is
  static int indexOf(IndexTM<int,Dim> a_index);

  ///
  static IndexTM<int,Dim> getIndex(const int& a_linearIndex)
  {
    return s_multiIndicies[a_linearIndex];
  }

  /// outputs the current state to pout() (a la parstream.H)
  void spout() const;

  ///
  /**
     Say <A> = sum_p(CA m^p),
     and <B> = sum_q(CB m^q).

     This sets the current data to 
     the set of coefficents M such that
     <AB> = sum_r(M m^r) + O(h^P+1).

     We drop all coefficents for powers s.t. p + q > P.
  */
  void setToTruncatedMultiply(const IndexedMoments<Dim, P> & a_CA,
                              const IndexedMoments<Dim, P> & a_CB);



  ///divides each entry by p!
  void divideByFactorial();

  ///multiply each entry by p!
  void multiplyByFactorial();

protected:

  ///
  Real 
  getMoment(const IndexTM<int, Dim>        & a_mono,
            const map<IndexTM<int, Dim>,  Real>& a_mapin) const;

  ///
  static void setStatics();
  
  ///
  static bool s_staticsSet;

  ///
  static  int s_size;

  ///
  static Vector<IndexTM<int,Dim> > s_multiIndicies;

  ///
  static void setMultiIndicies();

  ///
  static void setSize();
  
private:

  // Indicator that we contain only "full" moments
  int m_isRegular; 

  // Our moments to store    
  Vector<Real> m_moms;

  static const int s_max_sizes[][CH_IM_MAX_POWER+1];
}; 

/// Calculate what linear index this multi-index is 
///without the order stuff
template<int Dim>
int getIndMomLinearIndex(const IndexTM<int,Dim>& a_index, 
                         const int             & a_order)
{
  int retval= 0;
  if(a_order      == 1)
    {
      retval = IndexedMoments<Dim, 1>::indexOf(a_index);
    }                               
  else if(a_order == 2)             
    {                               
      retval = IndexedMoments<Dim, 2>::indexOf(a_index);
    }                               
  else if(a_order == 3)             
    {                               
      retval = IndexedMoments<Dim, 3>::indexOf(a_index);
    }                               
  else if(a_order == 4)             
    {                               
      retval = IndexedMoments<Dim, 4>::indexOf(a_index);
    }
  else
    {
      MayDay::Error("need to add more cases to getIndMomLinearIndex");
    }
  return retval;
}

///
template<int Dim>
const IndexTM<int,Dim>
getIndMomMultiIndex(const int             & a_index,
                    const int             & a_order)
{
  IndexTM<int,Dim> retval;
  if(a_order      == 1)
    {
      retval = IndexedMoments<Dim,1>::getIndex(a_index);
    }
  else if(a_order == 2)
    {
      retval = IndexedMoments<Dim,2>::getIndex(a_index);
    }
  else if(a_order == 3)
    {
      retval = IndexedMoments<Dim,3>::getIndex(a_index);
    }
  else if(a_order == 4)
    {
      retval = IndexedMoments<Dim,4>::getIndex(a_index);
    }
  else
    {
      MayDay::Error("need to add more cases to getIndMomMultiIndex");
    }
  return retval;
}

///
template<int Dim>
int
getIndMomSize(const int             & a_order)
{
  int retval = 0;
  if(a_order      == 1)
    {
      retval = IndexedMoments<Dim,1>::size();
    }
  else if(a_order == 2)
    {
      retval = IndexedMoments<Dim,2>::size();
    }
  else if(a_order == 3)
    {
      retval = IndexedMoments<Dim,3>::size();
    }
  else if(a_order == 4)
    {
      retval = IndexedMoments<Dim,4>::size();
    }
  else
    {
      MayDay::Error("need to add more cases to getIndMomSize");
    }
  return retval;
}

///to see if all powers of p are even
template<int Dim>
bool allEven(const IndexTM<int, Dim>& a_p)
{
  bool retval = true;
  for(int idir = 0; idir < Dim; idir++)
    {
      if(a_p[idir]%2 != 0)
        {
          retval = false;
          break;
        }
    }
  return retval;
}

/// computes x^p
template<int Dim>
Real 
POW(const Real& a_x,  const IndexTM<int, Dim> a_p)
{
  Real retval = 1;
  for(int idir = 0; idir < Dim; idir++)
    {
      for(int iexp = 0; iexp < a_p[idir]; iexp++)
        {
          retval *= a_x;
        }
    }
  return retval;
}
///
/**
   Moments are centered at the center of the cell.
   For each of these moments I shift them to the lowest 
   corner of the cell, where I know what the bounds of the integrals 
   is (lower bound always zero, upper bound = dx^d dx^px dx^py dx^pz
   If the shifted moment is out of bounds, I bound it.
   The tolerance is about verbosity.    If the moment is outside the tolerance
   then it gets included into a_bogusPowers.
   EBMoments do not get checked for maxvals.
**/
template<int Dim, int ORDER>
void
checkMoments(IndexedMoments<Dim, ORDER> & a_moments,
             Vector<IndexTM<int, Dim> > & a_bogusPowers,
             const Real                 & a_dx,
             const Real                 & a_tolerance,
             const bool                 & a_ebMoment,
             const bool                 & a_bindMoments);

///
/**
   return true if all of a_index >= 0, false otherwise
 */
template <int Dim>
bool allPositive(const IndexTM<int, Dim>& a_index); 

/**/
///template specializations for debugger
/**
template< >
void
checkMoments(IndexedMoments<SpaceDim, CH_EBIS_ORDER> & a_moments,
             Vector<IndexTM<int, SpaceDim> > & a_bogusPowers,
             const Real                 & a_dx,
             const Real                 & a_tolerance,
             const bool                 & a_ebMoment,
             const bool                 & a_bindMoments);


template< >
void
checkMoments(IndexedMoments<SpaceDim-1, CH_EBIS_ORDER> & a_moments,
             Vector<IndexTM<int, SpaceDim-1> > & a_bogusPowers,
             const Real                 & a_dx,
             const Real                 & a_tolerance,
             const bool                 & a_ebMoment,
             const bool                 & a_bindMoments);
**/

#include "NamespaceFooter.H"

#include "IndexedMomentsImplem.H"

#endif

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