view liboctave/array/Array-util.cc @ 22402:4caa7b28d183

maint: Style check C++ code in liboctave/ * Array-C.cc, Array-b.cc, Array-ch.cc, Array-d.cc, Array-f.cc, Array-fC.cc, Array-i.cc, Array-idx-vec.cc, Array-s.cc, Array-str.cc, Array-util.cc, Array-util.h, Array-voidp.cc, Array.cc, Array.h, CColVector.cc, CColVector.h, CDiagMatrix.cc, CDiagMatrix.h, CMatrix.cc, CMatrix.h, CNDArray.cc, CNDArray.h, CRowVector.cc, CRowVector.h, CSparse.cc, CSparse.h, DiagArray2.cc, DiagArray2.h, MArray-C.cc, MArray-d.cc, MArray-f.cc, MArray-fC.cc, MArray-i.cc, MArray-s.cc, MArray.cc, MArray.h, MDiagArray2.cc, MDiagArray2.h, MSparse-C.cc, MSparse-d.cc, MSparse.cc, MSparse.h, Matrix.h, MatrixType.cc, MatrixType.h, PermMatrix.cc, PermMatrix.h, Range.cc, Range.h, Sparse-C.cc, Sparse-b.cc, Sparse-d.cc, Sparse.cc, Sparse.h, boolMatrix.cc, boolMatrix.h, boolNDArray.cc, boolNDArray.h, boolSparse.cc, boolSparse.h, chMatrix.cc, chMatrix.h, chNDArray.cc, chNDArray.h, dColVector.cc, dColVector.h, dDiagMatrix.cc, dDiagMatrix.h, dMatrix.cc, dMatrix.h, dNDArray.cc, dNDArray.h, dRowVector.cc, dRowVector.h, dSparse.cc, dSparse.h, dim-vector.cc, dim-vector.h, fCColVector.cc, fCColVector.h, fCDiagMatrix.cc, fCDiagMatrix.h, fCMatrix.cc, fCMatrix.h, fCNDArray.cc, fCNDArray.h, fCRowVector.cc, fCRowVector.h, fColVector.cc, fColVector.h, fDiagMatrix.cc, fDiagMatrix.h, fMatrix.cc, fMatrix.h, fNDArray.cc, fNDArray.h, fRowVector.cc, fRowVector.h, idx-vector.cc, idx-vector.h, int16NDArray.cc, int16NDArray.h, int32NDArray.cc, int32NDArray.h, int64NDArray.cc, int64NDArray.h, int8NDArray.cc, int8NDArray.h, intNDArray.cc, intNDArray.h, uint16NDArray.cc, uint16NDArray.h, uint32NDArray.cc, uint32NDArray.h, uint64NDArray.h, uint8NDArray.h, blaswrap.c, cquit.c, f77-extern.cc, f77-fcn.c, f77-fcn.h, lo-error.c, lo-error.h, quit.cc, quit.h, liboctave-build-info.h, liboctave-build-info.in.cc, CollocWt.cc, CollocWt.h, DAE.h, DAEFunc.h, DAERT.h, DAERTFunc.h, DASPK.cc, DASPK.h, DASRT.cc, DASRT.h, DASSL.cc, DASSL.h, DET.h, EIG.cc, EIG.h, LSODE.cc, LSODE.h, ODE.h, ODEFunc.h, ODES.cc, ODES.h, ODESFunc.h, Quad.cc, Quad.h, aepbalance.cc, aepbalance.h, base-dae.h, base-de.h, base-min.h, bsxfun-decl.h, bsxfun-defs.cc, bsxfun.h, chol.cc, chol.h, eigs-base.cc, eigs-base.h, fEIG.cc, fEIG.h, gepbalance.cc, gepbalance.h, gsvd.cc, gsvd.h, hess.cc, hess.h, lo-amos-proto.h, lo-arpack-proto.h, lo-blas-proto.h, lo-fftpack-proto.h, lo-lapack-proto.h, lo-mappers.cc, lo-mappers.h, lo-qrupdate-proto.h, lo-ranlib-proto.h, lo-slatec-proto.h, lo-specfun.cc, lo-specfun.h, lu.cc, lu.h, oct-convn.cc, oct-fftw.cc, oct-fftw.h, oct-norm.h, oct-rand.cc, oct-rand.h, oct-spparms.cc, oct-spparms.h, qr.cc, qr.h, qrp.cc, qrp.h, randgamma.cc, randgamma.h, randmtzig.cc, randmtzig.h, randpoisson.cc, randpoisson.h, schur.cc, schur.h, sparse-chol.cc, sparse-chol.h, sparse-dmsolve.cc, sparse-dmsolve.h, sparse-lu.cc, sparse-lu.h, sparse-qr.cc, sparse-qr.h, svd.cc, svd.h, Sparse-diag-op-defs.h, Sparse-op-decls.h, Sparse-op-defs.h, Sparse-perm-op-defs.h, mx-base.h, mx-defs.h, mx-ext.h, mx-inlines.cc, mx-op-decl.h, mx-op-defs.h, child-list.cc, child-list.h, dir-ops.cc, dir-ops.h, file-ops.cc, file-ops.h, file-stat.cc, file-stat.h, lo-sysdep.cc, lo-sysdep.h, mach-info.cc, mach-info.h, oct-env.cc, oct-env.h, oct-group.cc, oct-group.h, oct-passwd.cc, oct-passwd.h, oct-syscalls.cc, oct-time.cc, oct-time.h, oct-uname.cc, oct-uname.h, action-container.h, base-list.h, byte-swap.h, caseless-str.h, cmd-edit.cc, cmd-edit.h, cmd-hist.cc, cmd-hist.h, data-conv.cc, data-conv.h, f2c-main.c, functor.h, glob-match.cc, glob-match.h, kpse.cc, kpse.h, lo-array-errwarn.cc, lo-array-errwarn.h, lo-array-gripes.cc, lo-array-gripes.h, lo-cutils.c, lo-cutils.h, lo-hash.cc, lo-hash.h, lo-ieee.cc, lo-ieee.h, lo-macros.h, lo-math.h, lo-regexp.cc, lo-regexp.h, lo-traits.h, lo-utils.cc, lo-utils.h, oct-alloc.h, oct-base64.cc, oct-binmap.h, oct-cmplx.h, oct-glob.cc, oct-glob.h, oct-inttypes-fwd.h, oct-inttypes.cc, oct-inttypes.h, oct-locbuf.cc, oct-mutex.cc, oct-mutex.h, oct-refcount.h, oct-rl-edit.c, oct-rl-edit.h, oct-rl-hist.c, oct-rl-hist.h, oct-shlib.cc, oct-shlib.h, oct-sort.cc, oct-sort.h, oct-sparse.h, oct-string.cc, oct-string.h, pathsearch.cc, pathsearch.h, singleton-cleanup.cc, singleton-cleanup.h, sparse-sort.cc, sparse-sort.h, sparse-util.cc, sparse-util.h, str-vec.cc, str-vec.h, sun-utils.h, unwind-prot.cc, unwind-prot.h, url-transfer.cc, url-transfer.h, areadlink-wrapper.c, areadlink-wrapper.h, async-system-wrapper.c, async-system-wrapper.h, base64-wrappers.c, base64-wrappers.h, canonicalize-file-name-wrapper.c, canonicalize-file-name-wrapper.h, dirent-wrappers.c, dirent-wrappers.h, fcntl-wrappers.c, fcntl-wrappers.h, filepos-wrappers.c, filepos-wrappers.h, fpucw-wrappers.c, fpucw-wrappers.h, gen-tempname-wrapper.c, gen-tempname-wrapper.h, getopt-wrapper.c, glob-wrappers.c, hash-wrappers.c, hash-wrappers.h, math-wrappers.c, math-wrappers.h, mkostemp-wrapper.c, mkostemp-wrapper.h, nanosleep-wrapper.c, nanosleep-wrapper.h, nproc-wrapper.c, nproc-wrapper.h, octave-popen2.c, octave-popen2.h, putenv-wrapper.c, putenv-wrapper.h, set-program-name-wrapper.c, set-program-name-wrapper.h, signal-wrappers.c, signal-wrappers.h, stat-wrappers.c, stat-wrappers.h, strdup-wrapper.c, strdup-wrapper.h, strftime-wrapper.c, strftime-wrapper.h, strmode-wrapper.c, strmode-wrapper.h, strptime-wrapper.c, strptime-wrapper.h, time-wrappers.c, time-wrappers.h, tmpfile-wrapper.c, tmpfile-wrapper.h, uname-wrapper.c, uname-wrapper.h, unistd-wrappers.c, unistd-wrappers.h, unsetenv-wrapper.c, unsetenv-wrapper.h, vasprintf-wrapper.c, vasprintf-wrapper.h, wait-for-input.c, wait-for-input.h, wait-wrappers.c, wait-wrappers.h: Wrap long lines < 80 characters. Update incorrect indentation.
author Rik <rik@octave.org>
date Mon, 29 Aug 2016 11:09:25 -0700
parents d0562b3159c7
children 3a2b891d0b33 e9a0469dedd9
line wrap: on
line source

/*

Copyright (C) 2003-2016 John W. Eaton
Copyright (C) 2009 VZLU Prague

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 3 of the License, 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, see
<http://www.gnu.org/licenses/>.

*/

#if defined (HAVE_CONFIG_H)
#  include "config.h"
#endif

#include "Array-util.h"
#include "dim-vector.h"
#include "lo-error.h"
#include "oct-locbuf.h"

bool
index_in_bounds (const Array<octave_idx_type>& ra_idx,
                 const dim_vector& dimensions)
{
  bool retval = true;

  int n = ra_idx.numel ();

  if (n == dimensions.ndims ())
    {
      for (int i = 0; i < n; i++)
        {
          if (ra_idx(i) < 0 || ra_idx(i) >= dimensions(i))
            {
              retval = false;
              break;
            }
        }
    }
  else
    retval = false;

  return retval;
}

void
increment_index (Array<octave_idx_type>& ra_idx, const dim_vector& dimensions,
                 int start_dimension)
{
  ra_idx(start_dimension)++;

  int n = ra_idx.numel () - 1;
  int nda = dimensions.ndims ();

  for (int i = start_dimension; i < n; i++)
    {
      if (ra_idx(i) < (i < nda ? dimensions(i) : 1))
        break;
      else
        {
          ra_idx(i) = 0;
          ra_idx(i+1)++;
        }
    }
}

octave_idx_type
get_scalar_idx (Array<octave_idx_type>& idx, dim_vector& dims)
{
  octave_idx_type retval (-1);

  int n = idx.numel ();

  if (n > 0)
    {
      retval = idx(--n);

      while (--n >= 0)
        {
          retval *= dims(n);

          retval += idx(n);
        }
    }
  return retval;
}

octave_idx_type
num_ones (const Array<octave_idx_type>& ra_idx)
{
  octave_idx_type retval = 0;

  for (octave_idx_type i = 0; i < ra_idx.numel (); i++)
    {
      if (ra_idx(i) == 1)
        retval++;
    }

  return retval;
}

bool
is_scalar (const dim_vector& dim)
{
  bool retval = true;

  int n = dim.ndims ();

  if (n == 0)
    retval = false;
  else
    {
      for (int i = 0; i < n; i++)
        {
          if (dim(i) != 1)
            {
              retval = false;

              break;
            }
        }
    }
  return retval;
}

bool
is_vector (const dim_vector& dim)
{
  int m = 0;
  int n = dim.ndims ();

  if (n == 0)
    m = 2;
  else
    {
      for (int i = 0; i < n; i++)
        if (dim(i) > 1)
          m++;
        else if (dim(i) < 1)
          m += 2;
    }

  return (m < 2);
}

bool
any_ones (const Array<octave_idx_type>& arr)
{
  bool retval = false;

  for (octave_idx_type i = 0; i < arr.numel (); i++)
    {
      if (arr (i) == 1)
        {
          retval = true;

          break;
        }
    }
  return retval;
}

octave_idx_type
compute_index (octave_idx_type n, const dim_vector& dims)
{
  if (n < 0)
    octave::err_invalid_index (n, 1, 1);
  if (n >= dims.numel ())
    octave::err_index_out_of_range (1, 1, n+1, dims.numel (), dims);

  return n;
}

octave_idx_type
compute_index (octave_idx_type i, octave_idx_type j, const dim_vector& dims)
{
  if (i < 0)
    octave::err_invalid_index (i, 2, 1);
  if (j < 0)
    octave::err_invalid_index (j, 2, 2);
  if (i >= dims(0))
    octave::err_index_out_of_range (2, 1, i+1, dims(0), dims);
  if (j >= dims.numel (1))
    octave::err_index_out_of_range (2, 2, j+1, dims.numel (1), dims);

  return j*dims(0) + i;
}

octave_idx_type
compute_index (octave_idx_type i, octave_idx_type j, octave_idx_type k,
               const dim_vector& dims)
{
  if (i < 0)
    octave::err_invalid_index (i, 3, 1);
  if (j < 0)
    octave::err_invalid_index (j, 3, 2);
  if (k < 0)
    octave::err_invalid_index (k, 3, 3);
  if (i >= dims(0))
    octave::err_index_out_of_range (3, 1, i+1, dims(0), dims);
  if (j >= dims(1))
    octave::err_index_out_of_range (3, 2, j+1, dims(1), dims);
  if (k >= dims.numel (2))
    octave::err_index_out_of_range (3, 3, k+1, dims.numel (2), dims);

  return (k*dims(1) + j)*dims(0) + i;
}

octave_idx_type
compute_index (const Array<octave_idx_type>& ra_idx, const dim_vector& dims)
{
  int nd = ra_idx.numel ();
  const dim_vector dv = dims.redim (nd);
  for (int d = 0; d < nd; d++)
    {
      if (ra_idx(d) < 0)
        octave::err_invalid_index (ra_idx(d), nd, d+1);
      if (ra_idx(d) >= dv(d))
        octave::err_index_out_of_range (nd, d+1, ra_idx(d)+1, dv(d), dims);
    }

  return dv.compute_index (ra_idx.data ());
}

Array<octave_idx_type>
conv_to_int_array (const Array<idx_vector>& a)
{
  Array<octave_idx_type> retval (a.dims ());

  for (octave_idx_type i = 0; i < a.numel (); i++)
    retval(i) = a(i).elem (0);

  return retval;
}

Array<idx_vector>
conv_to_array (const idx_vector *tmp, const octave_idx_type len)
{
  Array<idx_vector> retval (dim_vector (len, 1));

  for (octave_idx_type i = 0; i < len; i++)
    retval(i) = tmp[i];

  return retval;
}

dim_vector
freeze (Array<idx_vector>& ra_idx, const dim_vector& dimensions, int resize_ok)
{
  dim_vector retval;

  int n = ra_idx.numel ();

  assert (n == dimensions.ndims ());

  retval.resize (n);

  static const char *tag[3] = { "row", "column", 0 };

  for (int i = 0; i < n; i++)
    retval(i) = ra_idx(i).freeze (dimensions(i), tag[i < 2 ? i : 2],
                                  resize_ok);

  return retval;
}

bool
vector_equivalent (const dim_vector& dv)
{
  int n = dv.ndims ();

  bool found_first = false;

  for (int i = 0; i < n; i++)
    {
      if (dv(i) != 1)
        {
          if (! found_first)
            found_first = true;
          else
            return false;
        }
    }

  return true;
}

bool
all_ok (const Array<idx_vector>& ra_idx)
{
  bool retval = true;

  octave_idx_type n = ra_idx.numel ();

  for (octave_idx_type i = 0; i < n; i++)
    {
      if (! ra_idx(i))
        {
          retval = false;
          break;
        }
    }

  return retval;
}

bool
any_orig_empty (const Array<idx_vector>& ra_idx)
{
  bool retval = false;

  octave_idx_type n = ra_idx.numel ();

  for (octave_idx_type i = 0; i < n; i++)
    {
      if (ra_idx(i).orig_empty ())
        {
          retval = true;
          break;
        }
    }

  return retval;
}

bool
all_colon_equiv (const Array<idx_vector>& ra_idx,
                 const dim_vector& frozen_lengths)
{
  bool retval = true;

  octave_idx_type idx_n = ra_idx.numel ();

  int n = frozen_lengths.ndims ();

  assert (idx_n == n);

  for (octave_idx_type i = 0; i < n; i++)
    {
      if (! ra_idx(i).is_colon_equiv (frozen_lengths(i)))
        {
          retval = false;
          break;
        }
    }

  return retval;
}

bool
all_ones (const Array<octave_idx_type>& arr)
{
  bool retval = true;

  for (octave_idx_type i = 0; i < arr.numel (); i++)
    {
      if (arr(i) != 1)
        {
          retval = false;
          break;
        }
    }

  return retval;
}

Array<octave_idx_type>
get_elt_idx (const Array<idx_vector>& ra_idx,
             const Array<octave_idx_type>& result_idx)
{
  octave_idx_type n = ra_idx.numel ();

  Array<octave_idx_type> retval (dim_vector (n, 1));

  for (octave_idx_type i = 0; i < n; i++)
    retval(i) = ra_idx(i).elem (result_idx(i));

  return retval;
}

Array<octave_idx_type>
get_ra_idx (octave_idx_type idx, const dim_vector& dims)
{
  Array<octave_idx_type> retval;

  int n_dims = dims.ndims ();

  retval.resize (dim_vector (n_dims, 1));

  for (int i = 0; i < n_dims; i++)
    retval(i) = 0;

  assert (idx > 0 || idx < dims.numel ());

  for (octave_idx_type i = 0; i < idx; i++)
    increment_index (retval, dims);

  // FIXME: the solution using increment_index is not efficient.

#if 0
  octave_idx_type var = 1;
  for (int i = 0; i < n_dims; i++)
    {
      std::cout << "idx: " << idx << ", var: " << var
                << ", dims(" << i << "): " << dims(i) <<"\n";
      retval(i) = ((int)floor(((idx) / (double)var))) % dims(i);
      idx -= var * retval(i);
      var = dims(i);
    }
#endif

  return retval;
}

dim_vector
zero_dims_inquire (const Array<idx_vector>& ia, const dim_vector& rhdv)
{
  int ial = ia.numel ();
  int rhdvl = rhdv.ndims ();
  dim_vector rdv = dim_vector::alloc (ial);
  bool *scalar = new bool [ial];
  bool *colon = new bool [ial];
  // Mark scalars and colons, count non-scalar indices.
  int nonsc = 0;
  bool all_colons = true;
  for (int i = 0; i < ial; i++)
    {
      // FIXME: should we check for length() instead?
      scalar[i] = ia(i).is_scalar ();
      colon[i] = ia(i).is_colon ();
      if (! scalar[i]) nonsc++;
      if (! colon[i]) rdv(i) = ia(i).extent (0);
      all_colons = all_colons && colon[i];
    }

  // If the number of nonscalar indices matches the dimensionality of
  // RHS, we try an exact match, inquiring even singleton dimensions.
  if (all_colons)
    {
      rdv = rhdv;
      rdv.resize (ial, 1);
    }
  else if (nonsc == rhdvl)
    {
      for (int i = 0, j = 0; i < ial; i++)
        {
          if (scalar[i]) continue;
          if (colon[i])
            rdv(i) = rhdv(j);
          j++;
        }
    }
  else
    {
      dim_vector rhdv0 = rhdv;
      rhdv0.chop_all_singletons ();
      int rhdv0l = rhdv0.ndims ();
      for (int i = 0, j = 0; i < ial; i++)
        {
          if (scalar[i]) continue;
          if (colon[i])
            rdv(i) = (j < rhdv0l) ? rhdv0(j++) : 1;
        }
    }

  delete [] scalar;
  delete [] colon;

  return rdv;
}

dim_vector
zero_dims_inquire (const idx_vector& i, const idx_vector& j,
                   const dim_vector& rhdv)
{
  bool icol = i.is_colon ();
  bool jcol = j.is_colon ();
  dim_vector rdv;
  if (icol && jcol && rhdv.ndims () == 2)
    {
      rdv(0) = rhdv(0);
      rdv(1) = rhdv(1);
    }
  else if (rhdv.ndims () == 2
           && ! i.is_scalar () && ! j.is_scalar ())
    {
      rdv(0) = icol ? rhdv(0) : i.extent (0);
      rdv(1) = jcol ? rhdv(1) : j.extent (0);
    }
  else
    {
      dim_vector rhdv0 = rhdv;
      rhdv0.chop_all_singletons ();
      int k = 0;
      rdv(0) = i.extent (0);
      if (icol)
        rdv(0) = rhdv0(k++);
      else if (! i.is_scalar ())
        k++;
      rdv(1) = j.extent (0);
      if (jcol)
        rdv(1) = rhdv0(k++);
      else if (! j.is_scalar ())
        k++;
    }

  return rdv;
}

// A helper class.
struct sub2ind_helper
{
  octave_idx_type *ind, n;

  sub2ind_helper (octave_idx_type *_ind, octave_idx_type _n)
    : ind(_ind), n(_n) { }

  void operator ()(octave_idx_type k) { (*ind++ *= n) += k; }
};

idx_vector
sub2ind (const dim_vector& dv, const Array<idx_vector>& idxa)
{
  idx_vector retval;
  octave_idx_type len = idxa.numel ();

  if (len == 0)
    (*current_liboctave_error_handler) ("sub2ind: needs at least 2 indices");

  const dim_vector dvx = dv.redim (len);
  bool all_ranges = true;
  octave_idx_type clen = -1;

  for (octave_idx_type i = 0; i < len; i++)
    {
      try
        {
          idx_vector idx = idxa(i);
          octave_idx_type n = dvx(i);

          all_ranges = all_ranges && idx.is_range ();
          if (clen < 0)
            clen = idx.length (n);
          else if (clen != idx.length (n))
            (*current_liboctave_error_handler)
              ("sub2ind: lengths of indices must match");

          if (idx.extent (n) > n)
            octave::err_index_out_of_range (len, i+1, idx.extent (n), n);
        }
      catch (octave::index_exception& e)
        {
          e.set_pos_if_unset (len, i+1);
          e.set_var ();
          std::string msg = e.message ();
          (*current_liboctave_error_with_id_handler)
            (e.err_id (), msg.c_str ());
        }
    }
  // idxa known to be valid.
  // Shouldn't need to catch index_exception below here.

  if (len == 1)
    retval = idxa(0);
  else if (clen == 1)
    {
      // All scalars case - the result is a scalar.
      octave_idx_type idx = idxa(len-1)(0);
      for (octave_idx_type i = len - 2; i >= 0; i--)
        idx = dvx(i) * idx + idxa(i)(0);
      retval = idx_vector (idx);
    }
  else if (all_ranges && clen != 0)
    {
      // All ranges case - the result is a range.
      octave_idx_type start = 0;
      octave_idx_type step = 0;
      for (octave_idx_type i = len - 1; i >= 0; i--)
        {
          octave_idx_type xstart = idxa(i)(0);
          octave_idx_type xstep = idxa(i)(1) - xstart;
          start = dvx(i) * start + xstart;
          step = dvx(i) * step + xstep;
        }
      retval = idx_vector::make_range (start, step, clen);
    }
  else
    {
      Array<octave_idx_type> idx (idxa(0).orig_dimensions ());
      octave_idx_type *idx_vec = idx.fortran_vec ();

      for (octave_idx_type i = len - 1; i >= 0; i--)
        {
          if (i < len - 1)
            idxa(i).loop (clen, sub2ind_helper (idx_vec, dvx(i)));
          else
            idxa(i).copy_data (idx_vec);
        }

      retval = idx_vector (idx);
    }

  return retval;
}

Array<idx_vector>
ind2sub (const dim_vector& dv, const idx_vector& idx)
{
  octave_idx_type len = idx.length (0);
  octave_idx_type n = dv.ndims ();
  Array<idx_vector> retval (dim_vector (n, 1));
  octave_idx_type numel = dv.numel ();

  if (idx.extent (numel) > numel)
    (*current_liboctave_error_handler) ("ind2sub: index out of range");

  if (idx.is_scalar ())
    {
      octave_idx_type k = idx(0);
      for (octave_idx_type j = 0; j < n; j++)
        {
          retval(j) = k % dv(j);
          k /= dv(j);
        }
    }
  else
    {
      OCTAVE_LOCAL_BUFFER (Array<octave_idx_type>, rdata, n);

      dim_vector odv = idx.orig_dimensions ();
      for (octave_idx_type j = 0; j < n; j++)
        rdata[j] = Array<octave_idx_type> (odv);

      for (octave_idx_type i = 0; i < len; i++)
        {
          octave_idx_type k = idx(i);
          for (octave_idx_type j = 0; j < n; j++)
            {
              rdata[j](i) = k % dv(j);
              k /= dv(j);
            }
        }

      for (octave_idx_type j = 0; j < n; j++)
        retval(j) = rdata[j];
    }

  return retval;
}

int
permute_vector_compare (const void *a, const void *b)
{
  const permute_vector *pva = static_cast<const permute_vector *> (a);
  const permute_vector *pvb = static_cast<const permute_vector *> (b);

  return pva->pidx > pvb->pidx;
}