/*
  This file is part of LilyPond, the GNU music typesetter.

  Copyright (C) 2005--2015 Han-Wen Nienhuys <hanwen@xs4all.nl>

  LilyPond 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.

  LilyPond 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 LilyPond.  If not, see <http://www.gnu.org/licenses/>.
*/

#include <cstdio>

#include "paper-column.hh"
#include "spring.hh"
#include "warn.hh"
#include "simple-spacer.hh"

LY_DEFINE (ly_solve_spring_rod_problem, "ly:solve-spring-rod-problem",
           4, 1, 0, (SCM springs, SCM rods, SCM length, SCM ragged),
           "Solve a spring and rod problem for @var{count} objects, that"
           " are connected by @var{count}-1 @var{springs}, and an arbitrary"
           " number of @var{rods}.  @var{count} is implicitly given by"
           " @var{springs} and @var{rods}.  The @var{springs} argument has"
           " the format @code{(ideal, inverse_hook)} and @var{rods} is of"
           " the form @code{(idx1, idx2, distance)}.\n"
           "\n"
           "@var{length} is a number, @var{ragged} a boolean.\n"
           "\n"
           "The function returns a list containing the force (positive for"
           " stretching, negative for compressing and @code{#f} for"
           " non-satisfied constraints) followed by @var{spring-count}+1"
           " positions of the objects.")
{
  int len = scm_ilength (springs);
  if (len == 0)
    return scm_list_2 (scm_from_double (0.0), scm_from_double (0.0));

  SCM_ASSERT_TYPE (len >= 0, springs, SCM_ARG1, __FUNCTION__, "list of springs");
  SCM_ASSERT_TYPE (scm_ilength (rods) > 0, rods, SCM_ARG1, __FUNCTION__, "list of rods");
  LY_ASSERT_TYPE (scm_is_number, length, 3);

  bool is_ragged = to_boolean (ragged);
  Simple_spacer spacer;
  for (SCM s = springs; scm_is_pair (s); s = scm_cdr (s))
    {
      Real ideal = scm_to_double (scm_caar (s));
      Real inv_hooke = scm_to_double (scm_cadar (s));

      Spring sp (ideal, 0.0);
      sp.set_inverse_compress_strength (inv_hooke);
      sp.set_inverse_stretch_strength (inv_hooke);

      spacer.add_spring (sp);
    }

  for (SCM s = rods; scm_is_pair (s); s = scm_cdr (s))
    {
      SCM entry = scm_car (s);
      int l = scm_to_int (scm_car (entry));
      int r = scm_to_int (scm_cadr (entry));
      entry = scm_cddr (entry);

      Real distance = scm_to_double (scm_car (entry));
      spacer.add_rod (l, r, distance);
    }

  spacer.solve (scm_to_double (length), is_ragged);

  vector<Real> posns = spacer.spring_positions ();

  SCM force_return = spacer.fits () ? scm_from_double (spacer.force ()) : SCM_BOOL_F;

  SCM retval = SCM_EOL;
  for (vsize i = posns.size (); i--;)
    retval = scm_cons (scm_from_double (posns[i]), retval);

  retval = scm_cons (force_return, retval);
  return retval;
}