---

CNDArray.cc

解説を見る。

// N-D Array  manipulations.
/*

Copyright (C) 1996, 1997 John W. Eaton

This file is part of Octave.

Octave 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.

Octave 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 Octave; see the file COPYING.  If not, write to the Free
Software Foundation, 59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.

*/

#if defined (__GNUG__) && defined (USE_PRAGMA_INTERFACE_IMPLEMENTATION)
#pragma implementation
#endif

#ifdef HAVE_CONFIG_H
#include <config.h>
#endif

#include <cfloat>
#include <vector>

#include "Array-util.h"
#include "CNDArray.h"
#include "mx-base.h"
#include "f77-fcn.h"
#include "lo-ieee.h"
#include "lo-mappers.h"

#if defined (HAVE_FFTW3)
#include "oct-fftw.h"
#else
extern "C"
{
  // Note that the original complex fft routines were not written for
  // double complex arguments.  They have been modified by adding an
  // implicit double precision (a-h,o-z) statement at the beginning of
  // each subroutine.

  F77_RET_T
  F77_FUNC (cffti, CFFTI) (const int&, Complex*);

  F77_RET_T
  F77_FUNC (cfftf, CFFTF) (const int&, Complex*, Complex*);

  F77_RET_T
  F77_FUNC (cfftb, CFFTB) (const int&, Complex*, Complex*);
}
#endif

#if defined (HAVE_FFTW3)
ComplexNDArray
ComplexNDArray::fourier (int dim) const
{
  dim_vector dv = dims ();

  if (dim > dv.length () || dim < 0)
    return ComplexNDArray ();

  int stride = 1;
  int n = dv(dim);

  for (int i = 0; i < dim; i++)
    stride *= dv(i);

  int howmany = numel () / dv (dim);
  howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany));
  int nloop = (stride == 1 ? 1 : numel () / dv (dim) / stride);
  int dist = (stride == 1 ? n : 1);

  const Complex *in (fortran_vec ());
  ComplexNDArray retval (dv);
  Complex *out (retval.fortran_vec ());

  // Need to be careful here about the distance between fft's
  for (int k = 0; k < nloop; k++)
    octave_fftw::fft (in + k * stride * n, out + k * stride * n, 
                      n, howmany, stride, dist);

  return retval;
}

ComplexNDArray
ComplexNDArray::ifourier (int dim) const
{
  dim_vector dv = dims ();

  if (dim > dv.length () || dim < 0)
    return ComplexNDArray ();

  int stride = 1;
  int n = dv(dim);

  for (int i = 0; i < dim; i++)
    stride *= dv(i);

  int howmany = numel () / dv (dim);
  howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany));
  int nloop = (stride == 1 ? 1 : numel () / dv (dim) / stride);
  int dist = (stride == 1 ? n : 1);

  const Complex *in (fortran_vec ());
  ComplexNDArray retval (dv);
  Complex *out (retval.fortran_vec ());

  // Need to be careful here about the distance between fft's
  for (int k = 0; k < nloop; k++)
    octave_fftw::ifft (in + k * stride * n, out + k * stride * n, 
                      n, howmany, stride, dist);

  return retval;
}

ComplexNDArray
ComplexNDArray::fourier2d (void) const
{
  dim_vector dv = dims();
  if (dv.length () < 2)
    return ComplexNDArray ();

  dim_vector dv2(dv(0), dv(1));
  const Complex *in = fortran_vec ();
  ComplexNDArray retval (dv);
  Complex *out = retval.fortran_vec ();
  int howmany = numel() / dv(0) / dv(1);
  int dist = dv(0) * dv(1);

  for (int i=0; i < howmany; i++)
    octave_fftw::fftNd (in + i*dist, out + i*dist, 2, dv2);

  return retval;
}

ComplexNDArray
ComplexNDArray::ifourier2d (void) const
{
  dim_vector dv = dims();
  if (dv.length () < 2)
    return ComplexNDArray ();

  dim_vector dv2(dv(0), dv(1));
  const Complex *in = fortran_vec ();
  ComplexNDArray retval (dv);
  Complex *out = retval.fortran_vec ();
  int howmany = numel() / dv(0) / dv(1);
  int dist = dv(0) * dv(1);

  for (int i=0; i < howmany; i++)
    octave_fftw::ifftNd (in + i*dist, out + i*dist, 2, dv2);

  return retval;
}

ComplexNDArray
ComplexNDArray::fourierNd (void) const
{
  dim_vector dv = dims ();
  int rank = dv.length ();

  const Complex *in (fortran_vec ());
  ComplexNDArray retval (dv);
  Complex *out (retval.fortran_vec ());

  octave_fftw::fftNd (in, out, rank, dv);

  return retval;
}

ComplexNDArray
ComplexNDArray::ifourierNd (void) const
{
  dim_vector dv = dims ();
  int rank = dv.length ();

  const Complex *in (fortran_vec ());
  ComplexNDArray retval (dv);
  Complex *out (retval.fortran_vec ());

  octave_fftw::ifftNd (in, out, rank, dv);

  return retval;
}

#else
ComplexNDArray
ComplexNDArray::fourier (int dim) const
{
  dim_vector dv = dims ();

  if (dim > dv.length () || dim < 0)
    return ComplexNDArray ();

  ComplexNDArray retval (dv);
  int npts = dv(dim);
  int nn = 4*npts+15;
  Array<Complex> wsave (nn);
  Complex *pwsave = wsave.fortran_vec ();

  OCTAVE_LOCAL_BUFFER (Complex, tmp, npts);

  int stride = 1;

  for (int i = 0; i < dim; i++)
    stride *= dv(i);

  int howmany = numel () / npts;
  howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany));
  int nloop = (stride == 1 ? 1 : numel () / npts / stride);
  int dist = (stride == 1 ? npts : 1);

  F77_FUNC (cffti, CFFTI) (npts, pwsave);

  for (int k = 0; k < nloop; k++)
    {
      for (int j = 0; j < howmany; j++)
        {
          OCTAVE_QUIT;

          for (int i = 0; i < npts; i++)
            tmp[i] = elem((i + k*npts)*stride + j*dist);

          F77_FUNC (cfftf, CFFTF) (npts, tmp, pwsave);

          for (int i = 0; i < npts; i++)
            retval ((i + k*npts)*stride + j*dist) = tmp[i];
        }
    }

  return retval;
}

ComplexNDArray
ComplexNDArray::ifourier (int dim) const
{
  dim_vector dv = dims ();

  if (dim > dv.length () || dim < 0)
    return ComplexNDArray ();

  ComplexNDArray retval (dv);
  int npts = dv(dim);
  int nn = 4*npts+15;
  Array<Complex> wsave (nn);
  Complex *pwsave = wsave.fortran_vec ();

  OCTAVE_LOCAL_BUFFER (Complex, tmp, npts);

  int stride = 1;

  for (int i = 0; i < dim; i++)
    stride *= dv(i);

  int howmany = numel () / npts;
  howmany = (stride == 1 ? howmany : (howmany > stride ? stride : howmany));
  int nloop = (stride == 1 ? 1 : numel () / npts / stride);
  int dist = (stride == 1 ? npts : 1);

  F77_FUNC (cffti, CFFTI) (npts, pwsave);

  for (int k = 0; k < nloop; k++)
    {
      for (int j = 0; j < howmany; j++)
        {
          OCTAVE_QUIT;

          for (int i = 0; i < npts; i++)
            tmp[i] = elem((i + k*npts)*stride + j*dist);

          F77_FUNC (cfftb, CFFTB) (npts, tmp, pwsave);

          for (int i = 0; i < npts; i++)
            retval ((i + k*npts)*stride + j*dist) = tmp[i] /
              static_cast<double> (npts);
        }
    }

  return retval;
}

ComplexNDArray
ComplexNDArray::fourier2d (void) const
{
  dim_vector dv = dims ();
  dim_vector dv2 (dv(0), dv(1));
  int rank = 2;
  ComplexNDArray retval (*this);
  int stride = 1;

  for (int i = 0; i < rank; i++)
    {
      int npts = dv2(i);
      int nn = 4*npts+15;
      Array<Complex> wsave (nn);
      Complex *pwsave = wsave.fortran_vec ();
      Array<Complex> row (npts);
      Complex *prow = row.fortran_vec ();

      int howmany = numel () / npts;
      howmany = (stride == 1 ? howmany : 
                 (howmany > stride ? stride : howmany));
      int nloop = (stride == 1 ? 1 : numel () / npts / stride);
      int dist = (stride == 1 ? npts : 1);

      F77_FUNC (cffti, CFFTI) (npts, pwsave);

      for (int k = 0; k < nloop; k++)
        {
          for (int j = 0; j < howmany; j++)
            {
              OCTAVE_QUIT;

              for (int l = 0; l < npts; l++)
                prow[l] = retval ((l + k*npts)*stride + j*dist);

              F77_FUNC (cfftf, CFFTF) (npts, prow, pwsave);

              for (int l = 0; l < npts; l++)
                retval ((l + k*npts)*stride + j*dist) = prow[l];
            }
        }

      stride *= dv2(i);
    }

  return retval;
}

ComplexNDArray
ComplexNDArray::ifourier2d (void) const
{
  dim_vector dv = dims();
  dim_vector dv2 (dv(0), dv(1));
  int rank = 2;
  ComplexNDArray retval (*this);
  int stride = 1;

  for (int i = 0; i < rank; i++)
    {
      int npts = dv2(i);
      int nn = 4*npts+15;
      Array<Complex> wsave (nn);
      Complex *pwsave = wsave.fortran_vec ();
      Array<Complex> row (npts);
      Complex *prow = row.fortran_vec ();

      int howmany = numel () / npts;
      howmany = (stride == 1 ? howmany : 
                 (howmany > stride ? stride : howmany));
      int nloop = (stride == 1 ? 1 : numel () / npts / stride);
      int dist = (stride == 1 ? npts : 1);

      F77_FUNC (cffti, CFFTI) (npts, pwsave);

      for (int k = 0; k < nloop; k++)
        {
          for (int j = 0; j < howmany; j++)
            {
              OCTAVE_QUIT;

              for (int l = 0; l < npts; l++)
                prow[l] = retval ((l + k*npts)*stride + j*dist);

              F77_FUNC (cfftb, CFFTB) (npts, prow, pwsave);

              for (int l = 0; l < npts; l++)
                retval ((l + k*npts)*stride + j*dist) = prow[l] /
                  static_cast<double> (npts);
            }
        }

      stride *= dv2(i);
    }

  return retval;
}

ComplexNDArray
ComplexNDArray::fourierNd (void) const
{
  dim_vector dv = dims ();
  int rank = dv.length ();
  ComplexNDArray retval (*this);
  int stride = 1;

  for (int i = 0; i < rank; i++)
    {
      int npts = dv(i);
      int nn = 4*npts+15;
      Array<Complex> wsave (nn);
      Complex *pwsave = wsave.fortran_vec ();
      Array<Complex> row (npts);
      Complex *prow = row.fortran_vec ();

      int howmany = numel () / npts;
      howmany = (stride == 1 ? howmany : 
                 (howmany > stride ? stride : howmany));
      int nloop = (stride == 1 ? 1 : numel () / npts / stride);
      int dist = (stride == 1 ? npts : 1);

      F77_FUNC (cffti, CFFTI) (npts, pwsave);

      for (int k = 0; k < nloop; k++)
        {
          for (int j = 0; j < howmany; j++)
            {
              OCTAVE_QUIT;

              for (int l = 0; l < npts; l++)
                prow[l] = retval ((l + k*npts)*stride + j*dist);

              F77_FUNC (cfftf, CFFTF) (npts, prow, pwsave);

              for (int l = 0; l < npts; l++)
                retval ((l + k*npts)*stride + j*dist) = prow[l];
            }
        }

      stride *= dv(i);
    }

  return retval;
}

ComplexNDArray
ComplexNDArray::ifourierNd (void) const
{
  dim_vector dv = dims ();
  int rank = dv.length ();
  ComplexNDArray retval (*this);
  int stride = 1;

  for (int i = 0; i < rank; i++)
    {
      int npts = dv(i);
      int nn = 4*npts+15;
      Array<Complex> wsave (nn);
      Complex *pwsave = wsave.fortran_vec ();
      Array<Complex> row (npts);
      Complex *prow = row.fortran_vec ();

      int howmany = numel () / npts;
      howmany = (stride == 1 ? howmany : 
                 (howmany > stride ? stride : howmany));
      int nloop = (stride == 1 ? 1 : numel () / npts / stride);
      int dist = (stride == 1 ? npts : 1);

      F77_FUNC (cffti, CFFTI) (npts, pwsave);

      for (int k = 0; k < nloop; k++)
        {
          for (int j = 0; j < howmany; j++)
            {
              OCTAVE_QUIT;

              for (int l = 0; l < npts; l++)
                prow[l] = retval ((l + k*npts)*stride + j*dist);

              F77_FUNC (cfftb, CFFTB) (npts, prow, pwsave);

              for (int l = 0; l < npts; l++)
                retval ((l + k*npts)*stride + j*dist) = prow[l] /
                  static_cast<double> (npts);
            }
        }

      stride *= dv(i);
    }

  return retval;
}

#endif

// unary operations

boolNDArray
ComplexNDArray::operator ! (void) const
{
  boolNDArray b (dims ());

  for (int i = 0; i < length (); i++)
    b.elem (i) = elem (i) != 0.0;

  return b;
}

// XXX FIXME XXX -- this is not quite the right thing.

bool
ComplexNDArray::any_element_is_inf_or_nan (void) const
{
  int nel = nelem ();

  for (int i = 0; i < nel; i++)
    {
      Complex val = elem (i);
      if (xisinf (val) || xisnan (val))
        return true;
    }
  return false;
}

// Return true if no elements have imaginary components.

bool
ComplexNDArray::all_elements_are_real (void) const
{
  int nel = nelem ();

  for (int i = 0; i < nel; i++)
    {
      double ip = imag (elem (i));

      if (ip != 0.0 || lo_ieee_signbit (ip))
        return false;
    }

  return true;
}

// Return nonzero if any element of CM has a non-integer real or
// imaginary part.  Also extract the largest and smallest (real or
// imaginary) values and return them in MAX_VAL and MIN_VAL. 

bool
ComplexNDArray::all_integers (double& max_val, double& min_val) const
{
  int nel = nelem ();

  if (nel > 0)
    {
      Complex val = elem (0);

      double r_val = real (val);
      double i_val = imag (val);
      
      max_val = r_val;
      min_val = r_val;

      if (i_val > max_val)
        max_val = i_val;

      if (i_val < max_val)
        min_val = i_val;
    }
  else
    return false;

  for (int i = 0; i < nel; i++)
    {
      Complex val = elem (i);

      double r_val = real (val);
      double i_val = imag (val);

      if (r_val > max_val)
        max_val = r_val;

      if (i_val > max_val)
        max_val = i_val;

      if (r_val < min_val)
        min_val = r_val;

      if (i_val < min_val)
        min_val = i_val;

      if (D_NINT (r_val) != r_val || D_NINT (i_val) != i_val)
        return false;
    }

  return true;
}

bool
ComplexNDArray::too_large_for_float (void) const
{
  int nel = nelem ();

  for (int i = 0; i < nel; i++)
    {
      Complex val = elem (i);

      double r_val = real (val);
      double i_val = imag (val);

      if (r_val > FLT_MAX
          || i_val > FLT_MAX
          || r_val < FLT_MIN
          || i_val < FLT_MIN)
        return true;
    }

  return false;
}

boolNDArray
ComplexNDArray::all (int dim) const
{
  MX_ND_ANY_ALL_REDUCTION
    (MX_ND_ALL_EVAL (elem (iter_idx) == Complex (0, 0)), true);
}

boolNDArray
ComplexNDArray::any (int dim) const
{
  MX_ND_ANY_ALL_REDUCTION
    (MX_ND_ANY_EVAL (elem (iter_idx) != Complex (0, 0)), false);
}

ComplexNDArray
ComplexNDArray::cumprod (int dim) const
{
  MX_ND_CUMULATIVE_OP (ComplexNDArray, Complex, Complex (1, 0), *);
}

ComplexNDArray
ComplexNDArray::cumsum (int dim) const
{
  MX_ND_CUMULATIVE_OP (ComplexNDArray, Complex, Complex (0, 0), +);
}

ComplexNDArray
ComplexNDArray::prod (int dim) const
{
  MX_ND_COMPLEX_OP_REDUCTION (*= elem (iter_idx), Complex (1, 0));
}

ComplexNDArray
ComplexNDArray::sumsq (int dim) const
{
  MX_ND_COMPLEX_OP_REDUCTION
    (+= imag (elem (iter_idx))
     ? elem (iter_idx) * conj (elem (iter_idx))
     : std::pow (elem (iter_idx), 2), Complex (0, 0));
}

ComplexNDArray 
ComplexNDArray::sum (int dim) const
{
  MX_ND_COMPLEX_OP_REDUCTION (+= elem (iter_idx), Complex (0, 0));
}

ComplexNDArray
ComplexNDArray::concat (const ComplexNDArray& rb, const Array<int>& ra_idx)
{
  if (rb.numel () > 0)
    insert (rb, ra_idx);
  return *this;
}

ComplexNDArray
ComplexNDArray::concat (const NDArray& rb, const Array<int>& ra_idx)
{
  ComplexNDArray tmp (rb);
  if (rb.numel () > 0)
    insert (tmp, ra_idx);
  return *this;
}

ComplexNDArray
concat (NDArray& ra, ComplexNDArray& rb, const Array<int>& ra_idx)
{
  ComplexNDArray retval (ra);
  if (rb.numel () > 0)
    retval.insert (rb, ra_idx);
  return retval;
}

static const Complex Complex_NaN_result (octave_NaN, octave_NaN);

ComplexNDArray
ComplexNDArray::max (int dim) const
{
  ArrayN<int> dummy_idx;
  return max (dummy_idx, dim);
}

ComplexNDArray
ComplexNDArray::max (ArrayN<int>& idx_arg, int dim) const
{
  dim_vector dv = dims ();
  dim_vector dr = dims ();

  if (dv.numel () == 0 || dim > dv.length () || dim < 0)
    return ComplexNDArray ();
  
  dr(dim) = 1;

  ComplexNDArray result (dr);
  idx_arg.resize (dr);

  int x_stride = 1;
  int x_len = dv(dim);
  for (int i = 0; i < dim; i++)
    x_stride *= dv(i);

  for (int i = 0; i < dr.numel (); i++)
    {
      int x_offset;
      if (x_stride == 1)
        x_offset = i * x_len;
      else
        {
          int x_offset2 = 0;
          x_offset = i;
          while (x_offset >= x_stride)
            {
              x_offset -= x_stride;
              x_offset2++;
            }
          x_offset += x_offset2 * x_stride * x_len;
        }

      int idx_j;

      Complex tmp_max;

      double abs_max = octave_NaN;

      for (idx_j = 0; idx_j < x_len; idx_j++)
        {
          tmp_max = elem (idx_j * x_stride + x_offset);
          
          if (! octave_is_NaN_or_NA (tmp_max))
            {
              abs_max = ::abs(tmp_max);
              break;
            }
        }

      for (int j = idx_j+1; j < x_len; j++)
        {
          Complex tmp = elem (j * x_stride + x_offset);

          if (octave_is_NaN_or_NA (tmp))
            continue;

          double abs_tmp = ::abs (tmp);

          if (abs_tmp > abs_max)
            {
              idx_j = j;
              tmp_max = tmp;
              abs_max = abs_tmp;
            }
        }

      if (octave_is_NaN_or_NA (tmp_max))
        {
          result.elem (i) = Complex_NaN_result;
          idx_arg.elem (i) = 0;
        }
      else
        {
          result.elem (i) = tmp_max;
          idx_arg.elem (i) = idx_j;
        }
    }

  return result;
}

ComplexNDArray
ComplexNDArray::min (int dim) const
{
  ArrayN<int> dummy_idx;
  return min (dummy_idx, dim);
}

ComplexNDArray
ComplexNDArray::min (ArrayN<int>& idx_arg, int dim) const
{
  dim_vector dv = dims ();
  dim_vector dr = dims ();

  if (dv.numel () == 0 || dim > dv.length () || dim < 0)
    return ComplexNDArray ();
  
  dr(dim) = 1;

  ComplexNDArray result (dr);
  idx_arg.resize (dr);

  int x_stride = 1;
  int x_len = dv(dim);
  for (int i = 0; i < dim; i++)
    x_stride *= dv(i);

  for (int i = 0; i < dr.numel (); i++)
    {
      int x_offset;
      if (x_stride == 1)
        x_offset = i * x_len;
      else
        {
          int x_offset2 = 0;
          x_offset = i;
          while (x_offset >= x_stride)
            {
              x_offset -= x_stride;
              x_offset2++;
            }
          x_offset += x_offset2 * x_stride * x_len;
        }

      int idx_j;

      Complex tmp_min;

      double abs_min = octave_NaN;

      for (idx_j = 0; idx_j < x_len; idx_j++)
        {
          tmp_min = elem (idx_j * x_stride + x_offset);
          
          if (! octave_is_NaN_or_NA (tmp_min))
            {
              abs_min = ::abs(tmp_min);
              break;
            }
        }

      for (int j = idx_j+1; j < x_len; j++)
        {
          Complex tmp = elem (j * x_stride + x_offset);

          if (octave_is_NaN_or_NA (tmp))
            continue;

          double abs_tmp = ::abs (tmp);

          if (abs_tmp < abs_min)
            {
              idx_j = j;
              tmp_min = tmp;
              abs_min = abs_tmp;
            }
        }

      if (octave_is_NaN_or_NA (tmp_min))
        {
          result.elem (i) = Complex_NaN_result;
          idx_arg.elem (i) = 0;
        }
      else
        {
          result.elem (i) = tmp_min;
          idx_arg.elem (i) = idx_j;
        }
    }

  return result;
}

NDArray
ComplexNDArray::abs (void) const
{
  NDArray retval (dims ());

  int nel = nelem ();

  for (int i = 0; i < nel; i++)
    retval(i) = ::abs (elem (i));
      
  return retval;
}

ComplexNDArray&
ComplexNDArray::insert (const NDArray& a, int r, int c)
{
  dim_vector a_dv = a.dims ();
  
  int n = a_dv.length ();
  
  if (n == dimensions.length ())
    {
      Array<int> a_ra_idx (a_dv.length (), 0);
      
      a_ra_idx.elem (0) = r;
      a_ra_idx.elem (1) = c;
      
      for (int i = 0; i < n; i++)
        {
          if (a_ra_idx (i) < 0 || (a_ra_idx (i) + a_dv (i)) > dimensions (i))
            {
              (*current_liboctave_error_handler)
                ("Array<T>::insert: range error for insert");
              return *this;
            }
        }
      
      a_ra_idx.elem (0) = 0;
      a_ra_idx.elem (1) = 0;
      
      int n_elt = a.numel ();
      
      // IS make_unique () NECCESSARY HERE??

      for (int i = 0; i < n_elt; i++)
        {
          Array<int> ra_idx = a_ra_idx;
          
          ra_idx.elem (0) = a_ra_idx (0) + r;
          ra_idx.elem (1) = a_ra_idx (1) + c;
          
          elem (ra_idx) = a.elem (a_ra_idx);

          increment_index (a_ra_idx, a_dv);
        }
    }
  else
    (*current_liboctave_error_handler)
      ("Array<T>::insert: invalid indexing operation");

  return *this;
}

ComplexNDArray&
ComplexNDArray::insert (const ComplexNDArray& a, int r, int c)
{
  Array<Complex>::insert (a, r, c);
  return *this;
}

ComplexNDArray&
ComplexNDArray::insert (const ComplexNDArray& a, const Array<int>& ra_idx)
{
  Array<Complex>::insert (a, ra_idx);
  return *this;
}

ComplexMatrix
ComplexNDArray::matrix_value (void) const
{
  ComplexMatrix retval;

  int nd = ndims ();

  switch (nd)
    {
    case 1:
      retval = ComplexMatrix (Array2<Complex> (*this, dimensions(0), 1));
      break;

    case 2:
      retval = ComplexMatrix (Array2<Complex> (*this, dimensions(0),
                                               dimensions(1)));
      break;

    default:
      (*current_liboctave_error_handler)
        ("invalid conversion of ComplexNDArray to ComplexMatrix");
      break;
    }

  return retval;
}

void
ComplexNDArray::increment_index (Array<int>& ra_idx,
                                 const dim_vector& dimensions,
                                 int start_dimension)
{
  ::increment_index (ra_idx, dimensions, start_dimension);
}

int 
ComplexNDArray::compute_index (Array<int>& ra_idx,
                               const dim_vector& dimensions)
{
  return ::compute_index (ra_idx, dimensions);
}


// This contains no information on the array structure !!!
std::ostream&
operator << (std::ostream& os, const ComplexNDArray& a)
{
  int nel = a.nelem ();

  for (int i = 0; i < nel; i++)
    {
      os << " ";
      octave_write_complex (os, a.elem (i));
      os << "\n";
    }
  return os;
}

std::istream&
operator >> (std::istream& is, ComplexNDArray& a)
{
  int nel = a.nelem ();

  if (nel < 1 )
    is.clear (std::ios::badbit);
  else
    {
      Complex tmp;
      for (int i = 0; i < nel; i++)
          {
            tmp = octave_read_complex (is);
            if (is)
              a.elem (i) = tmp;
            else
              goto done;
          }
    }

 done:

  return is;
}

// XXX FIXME XXX -- it would be nice to share code among the min/max
// functions below.

#define EMPTY_RETURN_CHECK(T) \
  if (nel == 0) \
    return T (dv);

ComplexNDArray
min (const Complex& c, const ComplexNDArray& m)
{
  dim_vector dv = m.dims ();
  int nel = dv.numel ();

  EMPTY_RETURN_CHECK (ComplexNDArray);

  ComplexNDArray result (dv);

  for (int i = 0; i < nel; i++)
    {
      OCTAVE_QUIT;
      result (i) = xmin (c, m (i));
    }

  return result;
}

ComplexNDArray
min (const ComplexNDArray& m, const Complex& c)
{
  dim_vector dv = m.dims ();
  int nel = dv.numel ();

  EMPTY_RETURN_CHECK (ComplexNDArray);

  ComplexNDArray result (dv);

  for (int i = 0; i < nel; i++)
    {
      OCTAVE_QUIT;
      result (i) = xmin (c, m (i));
    }

  return result;
}

ComplexNDArray
min (const ComplexNDArray& a, const ComplexNDArray& b)
{
  dim_vector dv = a.dims ();
  int nel = dv.numel ();

  if (dv != b.dims ())
    {
      (*current_liboctave_error_handler)
        ("two-arg min expecting args of same size");
      return ComplexNDArray ();
    }

  EMPTY_RETURN_CHECK (ComplexNDArray);

  ComplexNDArray result (dv);

  for (int i = 0; i < nel; i++)
    {
      OCTAVE_QUIT;
      result (i) = xmin (a (i), b (i));
    }

  return result;
}

ComplexNDArray
max (const Complex& c, const ComplexNDArray& m)
{
  dim_vector dv = m.dims ();
  int nel = dv.numel ();

  EMPTY_RETURN_CHECK (ComplexNDArray);

  ComplexNDArray result (dv);

  for (int i = 0; i < nel; i++)
    {
      OCTAVE_QUIT;
      result (i) = xmax (c, m (i));
    }

  return result;
}

ComplexNDArray
max (const ComplexNDArray& m, const Complex& c)
{
  dim_vector dv = m.dims ();
  int nel = dv.numel ();

  EMPTY_RETURN_CHECK (ComplexNDArray);

  ComplexNDArray result (dv);

  for (int i = 0; i < nel; i++)
    {
      OCTAVE_QUIT;
      result (i) = xmax (c, m (i));
    }

  return result;
}

ComplexNDArray
max (const ComplexNDArray& a, const ComplexNDArray& b)
{
  dim_vector dv = a.dims ();
  int nel = dv.numel ();

  if (dv != b.dims ())
    {
      (*current_liboctave_error_handler)
        ("two-arg max expecting args of same size");
      return ComplexNDArray ();
    }

  EMPTY_RETURN_CHECK (ComplexNDArray);

  ComplexNDArray result (dv);

  for (int i = 0; i < nel; i++)
    {
      OCTAVE_QUIT;
      result (i) = xmax (a (i), b (i));
    }

  return result;
}

NDS_CMP_OPS(ComplexNDArray, real, Complex, real)
NDS_BOOL_OPS(ComplexNDArray, Complex, 0.0)

SND_CMP_OPS(Complex, real, ComplexNDArray, real)
SND_BOOL_OPS(Complex, ComplexNDArray, 0.0)

NDND_CMP_OPS(ComplexNDArray, real, ComplexNDArray, real)
NDND_BOOL_OPS(ComplexNDArray, ComplexNDArray, 0.0)

/*
;;; Local Variables: ***
;;; mode: C++ ***
;;; End: ***
*/

---

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