view liboctave/CollocWt.cc @ 8987:542015fada9e

Eliminate the workspace in sparse transpose. The output's cidx (column start offset array) can serve as the workspace, so the routines operate in the space of their output.
author Jason Riedy <jason@acm.org>
date Mon, 16 Mar 2009 17:03:07 -0400
parents a1dbe9d80eee
children 4c0cdbe0acca
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/*

Copyright (C) 1993, 1994, 1995, 1996, 1997, 2000, 2002, 2003, 2004,
              2005, 2007 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 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/>.

*/

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

#include <iostream>

#include "CollocWt.h"
#include "f77-fcn.h"
#include "lo-error.h"

extern "C"
{
  F77_RET_T
  F77_FUNC (jcobi, JCOBI) (octave_idx_type&, octave_idx_type&, octave_idx_type&, octave_idx_type&, double&,
			   double&, double*, double*, double*,
			   double*);

  F77_RET_T
  F77_FUNC (dfopr, DFOPR) (octave_idx_type&, octave_idx_type&, octave_idx_type&, octave_idx_type&, octave_idx_type&, octave_idx_type&,
			   double*, double*, double*, double*,
			   double*);
}

// Error handling.

void
CollocWt::error (const char* msg)
{
  (*current_liboctave_error_handler) ("fatal CollocWt error: %s", msg);
}

CollocWt&
CollocWt::set_left (double val)
{
  if (val >= rb)
    {
      error ("left bound greater than right bound");
      return *this;
    }

  lb = val;
  initialized = 0;
  return *this;
}

CollocWt&
CollocWt::set_right (double val)
{
  if (val <= lb)
    {
      error ("right bound less than left bound");
      return *this;
    }

  rb = val;
  initialized = 0;
  return *this;
}

void
CollocWt::init (void)
{
  // Check for possible errors.

  double wid = rb - lb;
  if (wid <= 0.0)
    {
      error ("width less than or equal to zero");
      return;
    }

  octave_idx_type nt = n + inc_left + inc_right;

  if (nt < 0)
    {
      error ("total number of collocation points less than zero");
      return;
    }
  else if (nt == 0)
    return;

  Array<double> dif1 (nt);
  double *pdif1 = dif1.fortran_vec ();

  Array<double> dif2 (nt);
  double *pdif2 = dif2.fortran_vec ();

  Array<double> dif3 (nt);
  double *pdif3 = dif3.fortran_vec ();

  Array<double> vect (nt);
  double *pvect = vect.fortran_vec ();

  r.resize (nt);
  q.resize (nt);
  A.resize (nt, nt);
  B.resize (nt, nt);

  double *pr = r.fortran_vec ();

  // Compute roots.

  F77_FUNC (jcobi, JCOBI) (nt, n, inc_left, inc_right, Alpha, Beta,
			  pdif1, pdif2, pdif3, pr);

  octave_idx_type id;

  // First derivative weights.

  id = 1;
  for (octave_idx_type i = 1; i <= nt; i++)
    {
      F77_FUNC (dfopr, DFOPR) (nt, n, inc_left, inc_right, i, id, pdif1,
			      pdif2, pdif3, pr, pvect); 

      for (octave_idx_type j = 0; j < nt; j++)
	A (i-1, j) = vect.elem (j);
    }

  // Second derivative weights.

  id = 2;
  for (octave_idx_type i = 1; i <= nt; i++)
    {
      F77_FUNC (dfopr, DFOPR) (nt, n, inc_left, inc_right, i, id, pdif1,
			      pdif2, pdif3, pr, pvect); 

      for (octave_idx_type j = 0; j < nt; j++)
	B (i-1, j) = vect.elem (j);
    }

  // Gaussian quadrature weights.

  id = 3;
  double *pq = q.fortran_vec ();
  F77_FUNC (dfopr, DFOPR) (nt, n, inc_left, inc_right, id, id, pdif1,
			  pdif2, pdif3, pr, pq);

  initialized = 1;
}

std::ostream&
operator << (std::ostream& os, const CollocWt& a)
{
  if (a.left_included ())
    os << "left  boundary is included\n";
  else
    os << "left  boundary is not included\n";

  if (a.right_included ())
    os << "right boundary is included\n";
  else
    os << "right boundary is not included\n";

  os << "\n";

  os << a.Alpha << " " << a.Beta << "\n\n"
     << a.r << "\n\n"
     << a.q << "\n\n"
     << a.A << "\n"
     << a.B << "\n";

  return os;
}

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