view liboctave/array/MSparse.cc @ 30564:796f54d4ddbf stable

update Octave Project Developers copyright for the new year In files that have the "Octave Project Developers" copyright notice, update for 2021. In all .txi and .texi files except gpl.txi and gpl.texi in the doc/liboctave and doc/interpreter directories, change the copyright to "Octave Project Developers", the same as used for other source files. Update copyright notices for 2022 (not done since 2019). For gpl.txi and gpl.texi, change the copyright notice to be "Free Software Foundation, Inc." and leave the date at 2007 only because this file only contains the text of the GPL, not anything created by the Octave Project Developers. Add Paul Thomas to contributors.in.
author John W. Eaton <jwe@octave.org>
date Tue, 28 Dec 2021 18:22:40 -0500
parents f3f3e3793fb5
children 597f3ee61a48
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////////////////////////////////////////////////////////////////////////
//
// Copyright (C) 1998-2022 The Octave Project Developers
//
// See the file COPYRIGHT.md in the top-level directory of this
// distribution or <https://octave.org/copyright/>.
//
// 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
// <https://www.gnu.org/licenses/>.
//
////////////////////////////////////////////////////////////////////////

// sparse array with math ops.

// Element by element MSparse by MSparse ops.

template <typename T, typename OP>
MSparse<T>&
plus_or_minus (MSparse<T>& a, const MSparse<T>& b, OP op, const char *op_name)
{
  MSparse<T> r;

  octave_idx_type a_nr = a.rows ();
  octave_idx_type a_nc = a.cols ();

  octave_idx_type b_nr = b.rows ();
  octave_idx_type b_nc = b.cols ();

  if (a_nr != b_nr || a_nc != b_nc)
    octave::err_nonconformant (op_name, a_nr, a_nc, b_nr, b_nc);

  r = MSparse<T> (a_nr, a_nc, (a.nnz () + b.nnz ()));

  octave_idx_type jx = 0;
  for (octave_idx_type i = 0 ; i < a_nc ; i++)
    {
      octave_idx_type ja = a.cidx (i);
      octave_idx_type ja_max = a.cidx (i+1);
      bool ja_lt_max = ja < ja_max;

      octave_idx_type jb = b.cidx (i);
      octave_idx_type jb_max = b.cidx (i+1);
      bool jb_lt_max = jb < jb_max;

      while (ja_lt_max || jb_lt_max)
        {
          octave_quit ();
          if ((! jb_lt_max) || (ja_lt_max && (a.ridx (ja) < b.ridx (jb))))
            {
              r.ridx (jx) = a.ridx (ja);
              r.data (jx) = op (a.data (ja), 0.);
              jx++;
              ja++;
              ja_lt_max= ja < ja_max;
            }
          else if ((! ja_lt_max)
                   || (b.ridx (jb) < a.ridx (ja)))
            {
              r.ridx (jx) = b.ridx (jb);
              r.data (jx) = op (0., b.data (jb));
              jx++;
              jb++;
              jb_lt_max= jb < jb_max;
            }
          else
            {
              if (op (a.data (ja), b.data (jb)) != 0.)
                {
                  r.data (jx) = op (a.data (ja), b.data (jb));
                  r.ridx (jx) = a.ridx (ja);
                  jx++;
                }
              ja++;
              ja_lt_max= ja < ja_max;
              jb++;
              jb_lt_max= jb < jb_max;
            }
        }
      r.cidx (i+1) = jx;
    }

  a = r.maybe_compress ();

  return a;
}

template <typename T>
MSparse<T>&
operator += (MSparse<T>& a, const MSparse<T>& b)
{
  return plus_or_minus (a, b, std::plus<T> (), "operator +=");
}

template <typename T>
MSparse<T>&
operator -= (MSparse<T>& a, const MSparse<T>& b)
{
  return plus_or_minus (a, b, std::minus<T> (), "operator -=");
}

// Element by element MSparse by scalar ops.

template <typename T, typename OP>
MArray<T>
plus_or_minus (const MSparse<T>& a, const T& s, OP op)
{
  octave_idx_type nr = a.rows ();
  octave_idx_type nc = a.cols ();

  MArray<T> r (dim_vector (nr, nc), op (0.0, s));

  for (octave_idx_type j = 0; j < nc; j++)
    for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
      r.elem (a.ridx (i), j) = op (a.data (i), s);
  return r;
}

template <typename T>
MArray<T>
operator + (const MSparse<T>& a, const T& s)
{
  return plus_or_minus (a, s, std::plus<T> ());
}

template <typename T>
MArray<T>
operator - (const MSparse<T>& a, const T& s)
{
  return plus_or_minus (a, s, std::minus<T> ());
}

template <typename T, typename OP>
MSparse<T>
times_or_divide (const MSparse<T>& a, const T& s, OP op)
{
  octave_idx_type nr = a.rows ();
  octave_idx_type nc = a.cols ();
  octave_idx_type nz = a.nnz ();

  MSparse<T> r (nr, nc, nz);

  for (octave_idx_type i = 0; i < nz; i++)
    {
      r.data (i) = op (a.data (i), s);
      r.ridx (i) = a.ridx (i);
    }
  for (octave_idx_type i = 0; i < nc + 1; i++)
    r.cidx (i) = a.cidx (i);
  r.maybe_compress (true);
  return r;
}

template <typename T>
MSparse<T>
operator * (const MSparse<T>& a, const T& s)
{
  return times_or_divide (a, s, std::multiplies<T> ());
}

template <typename T>
MSparse<T>
operator / (const MSparse<T>& a, const T& s)
{
  return times_or_divide (a, s, std::divides<T> ());
}

// Element by element scalar by MSparse ops.

template <typename T, typename OP>
MArray<T>
plus_or_minus (const T& s, const MSparse<T>& a, OP op)
{
  octave_idx_type nr = a.rows ();
  octave_idx_type nc = a.cols ();

  MArray<T> r (dim_vector (nr, nc), op (s, 0.0));

  for (octave_idx_type j = 0; j < nc; j++)
    for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++)
      r.elem (a.ridx (i), j) = op (s, a.data (i));
  return r;
}

template <typename T>
MArray<T>
operator + (const T& s, const MSparse<T>& a)
{
  return plus_or_minus (s, a, std::plus<T> ());
}

template <typename T>
MArray<T>
operator - (const T& s, const MSparse<T>& a)
{
  return plus_or_minus (s, a, std::minus<T> ());
}

template <typename T, typename OP>
MSparse<T>
times_or_divides (const T& s, const MSparse<T>& a, OP op)
{
  octave_idx_type nr = a.rows ();
  octave_idx_type nc = a.cols ();
  octave_idx_type nz = a.nnz ();

  MSparse<T> r (nr, nc, nz);

  for (octave_idx_type i = 0; i < nz; i++)
    {
      r.data (i) = op (s, a.data (i));
      r.ridx (i) = a.ridx (i);
    }
  for (octave_idx_type i = 0; i < nc + 1; i++)
    r.cidx (i) = a.cidx (i);
  r.maybe_compress (true);
  return r;
}

template <typename T>
MSparse<T>
operator * (const T& s, const MSparse<T>& a)
{
  return times_or_divides (s, a, std::multiplies<T> ());
}

template <typename T>
MSparse<T>
operator / (const T& s, const MSparse<T>& a)
{
  return times_or_divides (s, a, std::divides<T> ());
}

// Element by element MSparse by MSparse ops.

template <typename T, typename OP>
MSparse<T>
plus_or_minus (const MSparse<T>& a, const MSparse<T>& b, OP op,
               const char *op_name, bool negate)
{
  MSparse<T> r;

  octave_idx_type a_nr = a.rows ();
  octave_idx_type a_nc = a.cols ();

  octave_idx_type b_nr = b.rows ();
  octave_idx_type b_nc = b.cols ();

  if (a_nr == 1 && a_nc == 1)
    {
      if (a.elem (0, 0) == 0.)
        if (negate)
          r = -MSparse<T> (b);
        else
          r = MSparse<T> (b);
      else
        {
          r = MSparse<T> (b_nr, b_nc, op (a.data (0), 0.));

          for (octave_idx_type j = 0 ; j < b_nc ; j++)
            {
              octave_quit ();
              octave_idx_type idxj = j * b_nr;
              for (octave_idx_type i = b.cidx (j) ; i < b.cidx (j+1) ; i++)
                {
                  octave_quit ();
                  r.data (idxj + b.ridx (i)) = op (a.data (0), b.data (i));
                }
            }
          r.maybe_compress ();
        }
    }
  else if (b_nr == 1 && b_nc == 1)
    {
      if (b.elem (0, 0) == 0.)
        r = MSparse<T> (a);
      else
        {
          r = MSparse<T> (a_nr, a_nc, op (0.0, b.data (0)));

          for (octave_idx_type j = 0 ; j < a_nc ; j++)
            {
              octave_quit ();
              octave_idx_type idxj = j * a_nr;
              for (octave_idx_type i = a.cidx (j) ; i < a.cidx (j+1) ; i++)
                {
                  octave_quit ();
                  r.data (idxj + a.ridx (i)) = op (a.data (i), b.data (0));
                }
            }
          r.maybe_compress ();
        }
    }
  else if (a_nr != b_nr || a_nc != b_nc)
    octave::err_nonconformant (op_name, a_nr, a_nc, b_nr, b_nc);
  else
    {
      r = MSparse<T> (a_nr, a_nc, (a.nnz () + b.nnz ()));

      octave_idx_type jx = 0;
      r.cidx (0) = 0;
      for (octave_idx_type i = 0 ; i < a_nc ; i++)
        {
          octave_idx_type ja = a.cidx (i);
          octave_idx_type ja_max = a.cidx (i+1);
          bool ja_lt_max = ja < ja_max;

          octave_idx_type jb = b.cidx (i);
          octave_idx_type jb_max = b.cidx (i+1);
          bool jb_lt_max = jb < jb_max;

          while (ja_lt_max || jb_lt_max)
            {
              octave_quit ();
              if ((! jb_lt_max) || (ja_lt_max && (a.ridx (ja) < b.ridx (jb))))
                {
                  r.ridx (jx) = a.ridx (ja);
                  r.data (jx) = op (a.data (ja), 0.);
                  jx++;
                  ja++;
                  ja_lt_max= ja < ja_max;
                }
              else if ((! ja_lt_max)
                       || (b.ridx (jb) < a.ridx (ja)))
                {
                  r.ridx (jx) = b.ridx (jb);
                  r.data (jx) = op (0.,  b.data (jb));
                  jx++;
                  jb++;
                  jb_lt_max= jb < jb_max;
                }
              else
                {
                  if (op (a.data (ja), b.data (jb)) != 0.)
                    {
                      r.data (jx) = op (a.data (ja), b.data (jb));
                      r.ridx (jx) = a.ridx (ja);
                      jx++;
                    }
                  ja++;
                  ja_lt_max= ja < ja_max;
                  jb++;
                  jb_lt_max= jb < jb_max;
                }
            }
          r.cidx (i+1) = jx;
        }

      r.maybe_compress ();
    }

  return r;
}

template <typename T>
MSparse<T>
operator + (const MSparse<T>& a, const MSparse<T>& b)
{
  return plus_or_minus (a, b, std::plus<T> (), "operator +", false);
}

template <typename T>
MSparse<T>
operator - (const MSparse<T>& a, const MSparse<T>& b)
{
  return plus_or_minus (a, b, std::minus<T> (), "operator -", true);
}

template <typename T>
MSparse<T>
product (const MSparse<T>& a, const MSparse<T>& b)
{
  MSparse<T> r;

  octave_idx_type a_nr = a.rows ();
  octave_idx_type a_nc = a.cols ();

  octave_idx_type b_nr = b.rows ();
  octave_idx_type b_nc = b.cols ();

  if (a_nr == 1 && a_nc == 1)
    {
      if (a.elem (0, 0) == 0.)
        r = MSparse<T> (b_nr, b_nc);
      else
        {
          r = MSparse<T> (b);
          octave_idx_type b_nnz = b.nnz ();

          for (octave_idx_type i = 0 ; i < b_nnz ; i++)
            {
              octave_quit ();
              r.data (i) = a.data (0) * r.data (i);
            }
          r.maybe_compress ();
        }
    }
  else if (b_nr == 1 && b_nc == 1)
    {
      if (b.elem (0, 0) == 0.)
        r = MSparse<T> (a_nr, a_nc);
      else
        {
          r = MSparse<T> (a);
          octave_idx_type a_nnz = a.nnz ();

          for (octave_idx_type i = 0 ; i < a_nnz ; i++)
            {
              octave_quit ();
              r.data (i) = r.data (i) * b.data (0);
            }
          r.maybe_compress ();
        }
    }
  else if (a_nr != b_nr || a_nc != b_nc)
    octave::err_nonconformant ("product", a_nr, a_nc, b_nr, b_nc);
  else
    {
      r = MSparse<T> (a_nr, a_nc, (a.nnz () > b.nnz () ? a.nnz () : b.nnz ()));

      octave_idx_type jx = 0;
      r.cidx (0) = 0;
      for (octave_idx_type i = 0 ; i < a_nc ; i++)
        {
          octave_idx_type ja = a.cidx (i);
          octave_idx_type ja_max = a.cidx (i+1);
          bool ja_lt_max = ja < ja_max;

          octave_idx_type jb = b.cidx (i);
          octave_idx_type jb_max = b.cidx (i+1);
          bool jb_lt_max = jb < jb_max;

          while (ja_lt_max || jb_lt_max)
            {
              octave_quit ();
              if ((! jb_lt_max) || (ja_lt_max && (a.ridx (ja) < b.ridx (jb))))
                {
                  ja++; ja_lt_max= ja < ja_max;
                }
              else if ((! ja_lt_max)
                       || (b.ridx (jb) < a.ridx (ja)))
                {
                  jb++; jb_lt_max= jb < jb_max;
                }
              else
                {
                  if ((a.data (ja) * b.data (jb)) != 0.)
                    {
                      r.data (jx) = a.data (ja) * b.data (jb);
                      r.ridx (jx) = a.ridx (ja);
                      jx++;
                    }
                  ja++; ja_lt_max= ja < ja_max;
                  jb++; jb_lt_max= jb < jb_max;
                }
            }
          r.cidx (i+1) = jx;
        }

      r.maybe_compress ();
    }

  return r;
}

template <typename T>
MSparse<T>
quotient (const MSparse<T>& a, const MSparse<T>& b)
{
  MSparse<T> r;
  T Zero = T ();

  octave_idx_type a_nr = a.rows ();
  octave_idx_type a_nc = a.cols ();

  octave_idx_type b_nr = b.rows ();
  octave_idx_type b_nc = b.cols ();

  if (a_nr == 1 && a_nc == 1)
    {
      T val = a.elem (0, 0);
      T fill = val / T ();
      if (fill == T ())
        {
          octave_idx_type b_nnz = b.nnz ();
          r = MSparse<T> (b);
          for (octave_idx_type i = 0 ; i < b_nnz ; i++)
            r.data (i) = val / r.data (i);
          r.maybe_compress ();
        }
      else
        {
          r = MSparse<T> (b_nr, b_nc, fill);
          for (octave_idx_type j = 0 ; j < b_nc ; j++)
            {
              octave_quit ();
              octave_idx_type idxj = j * b_nr;
              for (octave_idx_type i = b.cidx (j) ; i < b.cidx (j+1) ; i++)
                {
                  octave_quit ();
                  r.data (idxj + b.ridx (i)) = val / b.data (i);
                }
            }
          r.maybe_compress ();
        }
    }
  else if (b_nr == 1 && b_nc == 1)
    {
      T val = b.elem (0, 0);
      T fill = T () / val;
      if (fill == T ())
        {
          octave_idx_type a_nnz = a.nnz ();
          r = MSparse<T> (a);
          for (octave_idx_type i = 0 ; i < a_nnz ; i++)
            r.data (i) = r.data (i) / val;
          r.maybe_compress ();
        }
      else
        {
          r = MSparse<T> (a_nr, a_nc, fill);
          for (octave_idx_type j = 0 ; j < a_nc ; j++)
            {
              octave_quit ();
              octave_idx_type idxj = j * a_nr;
              for (octave_idx_type i = a.cidx (j) ; i < a.cidx (j+1) ; i++)
                {
                  octave_quit ();
                  r.data (idxj + a.ridx (i)) = a.data (i) / val;
                }
            }
          r.maybe_compress ();
        }
    }
  else if (a_nr != b_nr || a_nc != b_nc)
    octave::err_nonconformant ("quotient", a_nr, a_nc, b_nr, b_nc);
  else
    {
      r = MSparse<T> (a_nr, a_nc, (Zero / Zero));

      for (octave_idx_type i = 0 ; i < a_nc ; i++)
        {
          octave_idx_type ja = a.cidx (i);
          octave_idx_type ja_max = a.cidx (i+1);
          bool ja_lt_max = ja < ja_max;

          octave_idx_type jb = b.cidx (i);
          octave_idx_type jb_max = b.cidx (i+1);
          bool jb_lt_max = jb < jb_max;

          while (ja_lt_max || jb_lt_max)
            {
              octave_quit ();
              if ((! jb_lt_max) || (ja_lt_max && (a.ridx (ja) < b.ridx (jb))))
                {
                  r.elem (a.ridx (ja), i) = a.data (ja) / Zero;
                  ja++; ja_lt_max= ja < ja_max;
                }
              else if ((! ja_lt_max)
                       || (b.ridx (jb) < a.ridx (ja)))
                {
                  r.elem (b.ridx (jb), i) = Zero / b.data (jb);
                  jb++; jb_lt_max= jb < jb_max;
                }
              else
                {
                  r.elem (a.ridx (ja), i) = a.data (ja) / b.data (jb);
                  ja++; ja_lt_max= ja < ja_max;
                  jb++; jb_lt_max= jb < jb_max;
                }
            }
        }

      r.maybe_compress (true);
    }

  return r;
}

// Unary MSparse ops.

template <typename T>
MSparse<T>
operator + (const MSparse<T>& a)
{
  return a;
}

template <typename T>
MSparse<T>
operator - (const MSparse<T>& a)
{
  MSparse<T> retval (a);
  octave_idx_type nz = a.nnz ();
  for (octave_idx_type i = 0; i < nz; i++)
    retval.data (i) = - retval.data (i);
  return retval;
}