matpackIII.cc

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/* Copyright (C) 2002-2008 Stefan Buehler <sbuehler@ltu.se>
 
   This program is free software; you can redistribute it and/or modify it
   under the terms of the GNU General Public License as published by the
   Free Software Foundation; either version 2, or (at your option) any
   later version.
 
   This program 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 General Public License for more details.
 
   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307,
   USA. */
 
#include "matpackIII.h"
#include "exceptions.h"
 
// Functions for ConstTensor3View:
// ------------------------------
 
ConstTensor3View ConstTensor3View::operator()(const Range& p,
                                                     const Range& r,
                                                     const Range& c) const
{
  return ConstTensor3View(mdata, mpr, mrr, mcr, p, r, c);
}
 
ConstMatrixView ConstTensor3View::operator()(const Range& p,
                                                    const Range& r,
                                                    Index c) const
{
  // Check that c is valid:
  assert( 0 <= c );
  assert( c < mcr.mextent );
 
  return ConstMatrixView(mdata + mcr.mstart + c*mcr.mstride,
                         mpr, mrr, 
                         p,   r);
}
 
ConstMatrixView ConstTensor3View::operator()(const Range& p,
                                                    Index        r,
                                                    const Range& c) const
{
  // Check that r is valid:
  assert( 0 <= r );
  assert( r < mrr.mextent );
 
  return ConstMatrixView(mdata + mrr.mstart + r*mrr.mstride,
                         mpr, mcr, 
                         p,   c);
}
 
ConstMatrixView ConstTensor3View::operator()(Index p,
                                                    const Range& r,
                                                    const Range& c) const
{
  // Check that p is valid:
  assert( 0 <= p );
  assert( p < mpr.mextent );
 
  return ConstMatrixView(mdata + mpr.mstart + p*mpr.mstride,
                         mrr, mcr, 
                         r,   c);
}
 
ConstVectorView ConstTensor3View::operator()(Index p,
                                                    Index r,
                                                    const Range& c) const
{
  // Check that p and r are valid:
  assert( 0 <= p );
  assert( 0 <= r );
  assert( p < mpr.mextent );
  assert( r < mrr.mextent );
 
  return ConstVectorView(mdata +
                         mpr.mstart + p*mpr.mstride +
                         mrr.mstart + r*mrr.mstride,
                         mcr, c);
}
 
ConstVectorView ConstTensor3View::operator()(Index p,
                                                    const Range& r,
                                                    Index c) const
{
  // Check that p and c are valid:
  assert( 0 <= p );
  assert( 0 <= c );
  assert( p < mpr.mextent );
  assert( c < mcr.mextent );
 
  return ConstVectorView(mdata +
                         mpr.mstart + p*mpr.mstride +
                         mcr.mstart + c*mcr.mstride,
                         mrr, r);
}
 
ConstVectorView ConstTensor3View::operator()(const Range& p,
                                                    Index r,
                                                    Index c) const
{
  // Check that r and c are valid:
  assert( 0 <= r );
  assert( 0 <= c );
  assert( r < mrr.mextent );
  assert( c < mcr.mextent );
 
  return ConstVectorView(mdata +
                         mrr.mstart + r*mrr.mstride +
                         mcr.mstart + c*mcr.mstride,
                         mpr, p);
}
 
ConstIterator3D ConstTensor3View::begin() const
{
  return ConstIterator3D(ConstMatrixView(mdata+mpr.mstart,
                                         mrr,
                                         mcr),
                         mpr.mstride);
}
 
ConstIterator3D ConstTensor3View::end() const
{
  return ConstIterator3D( ConstMatrixView(mdata + mpr.mstart +
                                          (mpr.mextent)*mpr.mstride,
                                          mrr,
                                          mcr),
                          mpr.mstride );
}
 
ConstTensor3View::ConstTensor3View(const ConstMatrixView& a) :
  mpr(0,1,a.mrr.mextent*a.mcr.mextent),
  mrr(a.mrr),
  mcr(a.mcr),
  mdata(a.mdata) 
{
  // Nothing to do here.
}
 
ConstTensor3View::ConstTensor3View() :
  mpr(0,0,1), mrr(0,0,1), mcr(0,0,1), mdata(NULL)
{
  // Nothing to do here.
}
 
ConstTensor3View::ConstTensor3View(Numeric *data,
                                          const Range& pr,
                                          const Range& rr,
                                          const Range& cr) :
  mpr(pr),
  mrr(rr),
  mcr(cr),
  mdata(data)
{
  // Nothing to do here.
}
 
ConstTensor3View::ConstTensor3View(Numeric *data,
                                          const Range& pp,
                                          const Range& pr,
                                          const Range& pc,
                                          const Range& np,
                                          const Range& nr,
                                          const Range& nc) :
  mpr(pp,np),
  mrr(pr,nr),
  mcr(pc,nc),
  mdata(data)
{
  // Nothing to do here.
}
 
ostream& operator<<(ostream& os, const ConstTensor3View& v)
{
  // Page iterators:
  ConstIterator3D ip=v.begin();
  const ConstIterator3D end_page=v.end();
 
  if ( ip!=end_page )
    {
      os << *ip;
      ++ip;
    }
 
  for ( ; ip!=end_page; ++ip )
    {
      os << "\n\n";
      os << *ip;
    }
 
  return os;
}
 
 
// Functions for Tensor3View:
// -------------------------
 
ConstTensor3View Tensor3View::operator()(const Range& p,
                                                const Range& r,
                                                const Range& c) const
{
  return ConstTensor3View::operator()(p,r,c);  
}
 
ConstMatrixView Tensor3View::operator()(const Range& p,
                                                    const Range& r,
                                                    Index c) const
{
  return ConstTensor3View::operator()(p,r,c);  
}
 
ConstMatrixView Tensor3View::operator()(const Range& p,
                                                    Index        r,
                                                    const Range& c) const
{
  return ConstTensor3View::operator()(p,r,c);  
}
 
ConstMatrixView Tensor3View::operator()(Index p,
                                                    const Range& r,
                                                    const Range& c) const
{
  return ConstTensor3View::operator()(p,r,c);  
}
 
ConstVectorView Tensor3View::operator()(Index p,
                                                    Index r,
                                                    const Range& c) const
{
  return ConstTensor3View::operator()(p,r,c);  
}
 
ConstVectorView Tensor3View::operator()(Index p,
                                                    const Range& r,
                                                    Index c) const
{
  return ConstTensor3View::operator()(p,r,c);  
}
 
ConstVectorView Tensor3View::operator()(const Range& p,
                                                    Index r,
                                                    Index c) const
{
  return ConstTensor3View::operator()(p,r,c);  
}
 
 
Tensor3View Tensor3View::operator()(const Range& p,
                                           const Range& r,
                                           const Range& c) 
{
  return Tensor3View(mdata, mpr, mrr, mcr, p, r, c);
}
 
MatrixView Tensor3View::operator()(const Range& p,
                                          const Range& r,
                                          Index c)
{
  // Check that c is valid:
  assert( 0 <= c );
  assert( c < mcr.mextent );
 
  return MatrixView(mdata + mcr.mstart + c*mcr.mstride,
                    mpr, mrr, 
                    p,   r);
}
 
MatrixView Tensor3View::operator()(const Range& p,
                                          Index        r,
                                          const Range& c) 
{
  // Check that r is valid:
  assert( 0 <= r );
  assert( r < mrr.mextent );
 
  return MatrixView(mdata + mrr.mstart + r*mrr.mstride,
                    mpr, mcr, 
                    p,   c);
}
 
MatrixView Tensor3View::operator()(Index p,
                                          const Range& r,
                                          const Range& c) 
{
  // Check that p is valid:
  assert( 0 <= p );
  assert( p < mpr.mextent );
 
  return MatrixView(mdata + mpr.mstart + p*mpr.mstride,
                    mrr, mcr, 
                    r,   c);
}
 
VectorView Tensor3View::operator()(Index p,
                                          Index r,
                                          const Range& c) 
{
  // Check that p and r are valid:
  assert( 0 <= p );
  assert( 0 <= r );
  assert( p < mpr.mextent );
  assert( r < mrr.mextent );
 
  return VectorView(mdata +
                    mpr.mstart + p*mpr.mstride +
                    mrr.mstart + r*mrr.mstride,
                    mcr, c);
}
 
VectorView Tensor3View::operator()(Index p,
                                          const Range& r,
                                          Index c) 
{
  // Check that p and c are valid:
  assert( 0 <= p );
  assert( 0 <= c );
  assert( p < mpr.mextent );
  assert( c < mcr.mextent );
 
  return VectorView(mdata +
                    mpr.mstart + p*mpr.mstride +
                    mcr.mstart + c*mcr.mstride,
                    mrr, r);
}
 
VectorView Tensor3View::operator()(const Range& p,
                                          Index r,
                                          Index c)
{
  // Check that r and r are valid:
  assert( 0 <= r );
  assert( 0 <= c );
  assert( r < mrr.mextent );
  assert( c < mcr.mextent );
 
  return VectorView(mdata +
                    mrr.mstart + r*mrr.mstride +
                    mcr.mstart + c*mcr.mstride,
                    mpr, p);
}
 
Numeric *Tensor3View::get_c_array()
{
  if (mpr.mstart != 0 || mpr.mstride != mrr.mextent * mcr.mextent
      || mrr.mstart != 0 || mrr.mstride != mcr.mextent
      || mcr.mstart != 0 || mcr.mstride != 1)
    throw runtime_error("A Tensor3View can only be converted to a plain C-array if mpr.mstart == 0 and mpr.mstride == mrr.extent*mcr.extent and mrr.mstart == 0 and mrr.mstride == mcr.extent and mcr.mstart == 0 and mcr.mstride == 1");
 
  return mdata;
}
 
const Numeric *Tensor3View::get_c_array() const
{
  if (mpr.mstart != 0 || mpr.mstride != mrr.mextent * mcr.mextent
      || mrr.mstart != 0 || mrr.mstride != mcr.mextent
      || mcr.mstart != 0 || mcr.mstride != 1)
    throw runtime_error("A Tensor3View can only be converted to a plain C-array if mpr.mstart == 0 and mpr.mstride == mrr.extent*mcr.extent and mrr.mstart == 0 and mrr.mstride == mcr.extent and mcr.mstart == 0 and mcr.mstride == 1");
 
  return mdata;
}
 
ConstIterator3D Tensor3View::begin() const
{
  return ConstTensor3View::begin();
}
 
ConstIterator3D Tensor3View::end() const
{
  return ConstTensor3View::end();
}
 
Iterator3D Tensor3View::begin()
{
  return Iterator3D(MatrixView(mdata+mpr.mstart,
                               mrr,
                               mcr),
                    mpr.mstride);
}
 
Iterator3D Tensor3View::end()
{
  return Iterator3D( MatrixView(mdata + mpr.mstart +
                                (mpr.mextent)*mpr.mstride,
                                mrr,
                                mcr),
                     mpr.mstride );
}
 
Tensor3View& Tensor3View::operator=(const ConstTensor3View& m)
{
  // Check that sizes are compatible:
  assert(mpr.mextent==m.mpr.mextent);
  assert(mrr.mextent==m.mrr.mextent);
  assert(mcr.mextent==m.mcr.mextent);
 
  copy( m.begin(), m.end(), begin() );
  return *this;
}
 
Tensor3View& Tensor3View::operator=(const Tensor3View& m)
{
  // Check that sizes are compatible:
  assert(mpr.mextent==m.mpr.mextent);
  assert(mrr.mextent==m.mrr.mextent);
  assert(mcr.mextent==m.mcr.mextent);
 
  copy( m.begin(), m.end(), begin() );
  return *this;
}
 
Tensor3View& Tensor3View::operator=(const Tensor3& m)
{
  // Check that sizes are compatible:
  assert(mpr.mextent==m.mpr.mextent);
  assert(mrr.mextent==m.mrr.mextent);
  assert(mcr.mextent==m.mcr.mextent);
 
  copy( m.begin(), m.end(), begin() );
  return *this;
}
 
Tensor3View& Tensor3View::operator=(Numeric x)
{
  copy( x, begin(), end() );
  return *this;
}
 
// Some little helper functions:
//------------------------------
 
Numeric add(Numeric x, Numeric y)
{
  return x+y;
}
 
Tensor3View& Tensor3View::operator*=(Numeric x)
{
  const Iterator3D ep=end();  
  for ( Iterator3D p=begin(); p!=ep ; ++p )
  {
    *p *= x;
  }
  return *this;
}
 
Tensor3View& Tensor3View::operator/=(Numeric x)
{
  const Iterator3D ep=end();  
  for ( Iterator3D p=begin(); p!=ep ; ++p )
  {
    *p /= x;
  }
  return *this;
}
 
Tensor3View& Tensor3View::operator+=(Numeric x)
{
  const Iterator3D ep=end();  
  for ( Iterator3D p=begin(); p!=ep ; ++p )
  {
    *p += x;
  }
  return *this;
}
 
Tensor3View& Tensor3View::operator-=(Numeric x)
{
  const Iterator3D ep=end();  
  for ( Iterator3D p=begin(); p!=ep ; ++p )
  {
    *p -= x;
  }
  return *this;
}
 
Tensor3View& Tensor3View::operator*=(const ConstTensor3View& x)
{
  assert( npages() == x.npages() );
  assert( nrows()  == x.nrows()  );
  assert( ncols()  == x.ncols()  );
  ConstIterator3D  xp = x.begin();
  Iterator3D        p = begin();
  const Iterator3D ep = end();
  for ( ; p!=ep ; ++p,++xp )
    {
      *p *= *xp;
    }
  return *this;
}
 
Tensor3View& Tensor3View::operator/=(const ConstTensor3View& x)
{
  assert( npages() == x.npages() );
  assert( nrows()  == x.nrows()  );
  assert( ncols()  == x.ncols()  );
  ConstIterator3D  xp = x.begin();
  Iterator3D        p = begin();
  const Iterator3D ep = end();
  for ( ; p!=ep ; ++p,++xp )
    {
      *p /= *xp;
    }
  return *this;
}
 
Tensor3View& Tensor3View::operator+=(const ConstTensor3View& x)
{
  assert( npages() == x.npages() );
  assert( nrows()  == x.nrows()  );
  assert( ncols()  == x.ncols()  );
  ConstIterator3D  xp = x.begin();
  Iterator3D        p = begin();
  const Iterator3D ep = end();
  for ( ; p!=ep ; ++p,++xp )
    {
      *p += *xp;
    }
  return *this;
}
 
Tensor3View& Tensor3View::operator-=(const ConstTensor3View& x)
{
  assert( npages() == x.npages() );
  assert( nrows()  == x.nrows()  );
  assert( ncols()  == x.ncols()  );
  ConstIterator3D  xp = x.begin();
  Iterator3D        p = begin();
  const Iterator3D ep = end();
  for ( ; p!=ep ; ++p,++xp )
    {
      *p -= *xp;
    }
  return *this;
}
 
Tensor3View::Tensor3View(const MatrixView& a) :
  ConstTensor3View( a.mdata,
                    Range(0,1,a.mrr.mextent*a.mcr.mextent),
                    a.mrr,
                    a.mcr )
{
  // Nothing to do here.
}
 
Tensor3View::Tensor3View() :
  ConstTensor3View()
{
  // Nothing to do here.
}
 
Tensor3View::Tensor3View(Numeric *data,
                                const Range& pr,
                                const Range& rr,
                                const Range& cr) :
  ConstTensor3View(data, pr, rr, cr)
{
  // Nothing to do here.
}
 
Tensor3View::Tensor3View(Numeric *data,
                                const Range& pp,
                                const Range& pr,
                                const Range& pc,
                                const Range& np,
                                const Range& nr,
                                const Range& nc) :
  ConstTensor3View(data,pp,pr,pc,np,nr,nc)
{
  // Nothing to do here.
}
 
void copy(ConstIterator3D origin,
                 const ConstIterator3D& end,
                 Iterator3D target)
{
  for ( ; origin!=end ; ++origin,++target )
    {
      // We use the copy function for the next smaller rank of tensor
      // recursively:
      copy(origin->begin(),
           origin->end(),
           target->begin());
    }
}
 
void copy(Numeric x,
                 Iterator3D target,
                 const Iterator3D& end)
{
  for ( ; target!=end ; ++target )
    {
      // We use the copy function for the next smaller rank of tensor
      // recursively:
      copy(x,target->begin(),target->end());
    }
}
 
 
// Functions for Tensor3:
// ---------------------
 
Tensor3::Tensor3() :
  Tensor3View::Tensor3View()
{
  // Nothing to do here. However, note that the default constructor
  // for Tensor3View has been called in the initializer list. That is
  // crucial, otherwise internal range objects will not be properly
  // initialized. 
}
 
Tensor3::Tensor3(Index p, Index r, Index c) :
  Tensor3View( new Numeric[p*r*c],
             Range(0,p,r*c),
             Range(0,r,c),
             Range(0,c))
{
  // Nothing to do here.
}
 
Tensor3::Tensor3(Index p, Index r, Index c, Numeric fill) :
  Tensor3View( new Numeric[p*r*c],
              Range(0,p,r*c),
              Range(0,r,c),
              Range(0,c))
{
  // Here we can access the raw memory directly, for slightly
  // increased efficiency:
  const Numeric *stop = mdata+p*r*c;
  for ( Numeric *x=mdata; x<stop; ++x )
    *x = fill;
}
 
Tensor3::Tensor3(const ConstTensor3View& m) :
  Tensor3View( new Numeric[m.npages()*m.nrows()*m.ncols()],
             Range( 0, m.npages(), m.nrows()*m.ncols() ),
             Range( 0, m.nrows(), m.ncols() ),
             Range( 0, m.ncols() ) )
{
  copy(m.begin(),m.end(),begin());
}
 
Tensor3::Tensor3(const Tensor3& m) :
  Tensor3View( new Numeric[m.npages()*m.nrows()*m.ncols()],
             Range( 0, m.npages(), m.nrows()*m.ncols() ),
             Range( 0, m.nrows(), m.ncols() ),
             Range( 0, m.ncols() ) )
{
  // There is a catch here: If m is an empty tensor, then it will have
  // dimensions of size 0. But these are used to initialize the stride
  // for higher dimensions! Thus, this method has to be consistent
  // with the behaviour of Range::Range. For now, Range::Range allows
  // also stride 0.
  copy(m.begin(),m.end(),begin());
}
 
 
Tensor3& Tensor3::operator=(const Tensor3& m)
{
  //  cout << "Tensor3 copy: m = " << m.nrows() << " " << m.ncols() << "\n";
  //  cout << "             n = " << nrows() << " " << ncols() << "\n";
 
  resize( m.mpr.mextent, m.mrr.mextent, m.mcr.mextent ); 
  copy( m.begin(), m.end(), begin() );
  return *this;
}
 
Tensor3& Tensor3::operator=(Numeric x)
{
  copy( x, begin(), end() );
  return *this;
}
 
void Tensor3::resize(Index p, Index r, Index c)
{
  assert( 0<=p );
  assert( 0<=r );
  assert( 0<=c );
 
  if ( mpr.mextent!=p ||
       mrr.mextent!=r ||
       mcr.mextent!=c )
    {
      delete[] mdata;
      mdata = new Numeric[p*r*c];
 
      mpr.mstart = 0;
      mpr.mextent = p;
      mpr.mstride = r*c;
 
      mrr.mstart = 0;
      mrr.mextent = r;
      mrr.mstride = c;
 
      mcr.mstart = 0;
      mcr.mextent = c;
      mcr.mstride = 1;
    }
}
 
Tensor3::~Tensor3()
{
//   cout << "Destroying a Tensor3:\n"
//        << *this << "\n........................................\n";
  delete[] mdata;
}
 
 
void transform( Tensor3View y,
                       double (&my_func)(double),
                       ConstTensor3View x )
{
  // Check dimensions:
  assert( y.npages() == x.npages() );
  assert( y.nrows()  == x.nrows()  );
  assert( y.ncols()  == x.ncols()  );
 
  const ConstIterator3D xe = x.end();
  ConstIterator3D       xi = x.begin();
  Iterator3D            yi = y.begin();
  for ( ; xi!=xe; ++xi, ++yi )
    {
      // Use the transform function of lower dimensional tensors
      // recursively:
      transform(*yi,my_func,*xi);
    }
}
 
Numeric max(const ConstTensor3View& x)
{
  const ConstIterator3D xe = x.end();
  ConstIterator3D       xi = x.begin();
 
  // Initial value for max:
  Numeric themax = max(*xi);
  ++xi;
 
  for ( ; xi!=xe ; ++xi )
    {
      // Use the max function of lower dimensional tensors
      // recursively:
      Numeric maxi = max(*xi);
      if ( maxi > themax )
        themax = maxi;
    }
 
  return themax;
}
 
Numeric min(const ConstTensor3View& x)
{
  const ConstIterator3D xe = x.end();
  ConstIterator3D       xi = x.begin();
 
  // Initial value for min:
  Numeric themin = min(*xi);
  ++xi;
 
  for ( ; xi!=xe ; ++xi )
    {
      // Use the min function of lower dimensional tensors
      // recursively:
      Numeric mini = min(*xi);
      if ( mini < themin )
        themin = mini;
    }
 
  return themin;
}
 
 
// Helper function for debugging
#ifndef NDEBUG
 
Numeric debug_tensor3view_get_elem (Tensor3View& tv,
                                    Index p, Index r, Index c)
{
  return tv(p, r, c);
}
 
#endif