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

  Copyright (C) 1999--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 "spacing-spanner.hh"

#include <math.h>
#include <cstdio>

#include "spacing-options.hh"
#include "international.hh"
#include "main.hh"
#include "moment.hh"
#include "note-spacing.hh"
#include "output-def.hh"
#include "paper-column.hh"
#include "paper-score.hh"
#include "pointer-group-interface.hh"
#include "separation-item.hh"
#include "skyline-pair.hh"
#include "spaceable-grob.hh"
#include "spacing-interface.hh"
#include "staff-spacing.hh"
#include "system.hh"
#include "warn.hh"

vector<Grob *>
Spacing_spanner::get_columns (Grob *me_grob)
{
  Spanner *me = dynamic_cast<Spanner *> (me_grob);
  vector<Grob *> all (get_root_system (me)->used_columns ());
  vsize start = binary_search (all, (Grob *)me->get_bound (LEFT),
                               &Paper_column::less_than);
  vsize end = binary_search (all, (Grob *) me->get_bound (RIGHT),
                             &Paper_column::less_than);

  all = vector<Grob *> (all.begin () + start,
                        all.begin () + end + 1);
  return all;
}

MAKE_SCHEME_CALLBACK (Spacing_spanner, set_springs, 1);
SCM
Spacing_spanner::set_springs (SCM smob)
{
  Spanner *me = unsmob<Spanner> (smob);

  /*
    can't use get_system () ? --hwn.
  */
  Spacing_options options;
  options.init_from_grob (me);
  vector<Grob *> cols = Spacing_spanner::get_columns (me);
  set_explicit_neighbor_columns (cols);

  prune_loose_columns (me, &cols, &options);
  set_implicit_neighbor_columns (cols);
  generate_springs (me, cols, &options);

  return SCM_UNSPECIFIED;
}

/*
  We want the shortest note that is also "common" in the piece, so we
  find the shortest in each measure, and take the most frequently
  found duration.

  This probably gives weird effects with modern music, where every
  note has a different duration, but hey, don't write that kind of
  stuff, then.
*/

MAKE_SCHEME_CALLBACK (Spacing_spanner, calc_common_shortest_duration, 1);
SCM
Spacing_spanner::calc_common_shortest_duration (SCM grob)
{
  Spanner *me = unsmob<Spanner> (grob);

  vector<Grob *> cols (get_columns (me));

  /*
    ascending in duration
  */
  vector<Rational> durations;
  vector<int> counts;

  Rational shortest_in_measure;
  shortest_in_measure.set_infinite (1);

  for (vsize i = 0; i < cols.size (); i++)
    {
      if (Paper_column::is_musical (cols[i]))
        {
          Moment *when = unsmob<Moment> (cols[i]->get_property ("when"));

          /*
            ignore grace notes for shortest notes.
          */
          if (when && when->grace_part_)
            continue;

          SCM st = cols[i]->get_property ("shortest-starter-duration");
          Moment this_shortest = *unsmob<Moment> (st);
          assert (this_shortest.to_bool ());
          shortest_in_measure = min (shortest_in_measure, this_shortest.main_part_);
        }
      else if (!shortest_in_measure.is_infinity ()
               && Paper_column::is_breakable (cols[i]))
        {
          vsize j = 0;
          for (; j < durations.size (); j++)
            {
              if (durations[j] > shortest_in_measure)
                {
                  counts.insert (counts.begin () + j, 1);
                  durations.insert (durations.begin () + j, shortest_in_measure);
                  break;
                }
              else if (durations[j] == shortest_in_measure)
                {
                  counts[j]++;
                  break;
                }
            }

          if (durations.size () == j)
            {
              durations.push_back (shortest_in_measure);
              counts.push_back (1);
            }

          shortest_in_measure.set_infinite (1);
        }
    }

  vsize max_idx = VPOS;
  int max_count = 0;
  for (vsize i = durations.size (); i--;)
    {
      if (counts[i] >= max_count)
        {
          max_idx = i;
          max_count = counts[i];
        }
    }

  SCM bsd = me->get_property ("base-shortest-duration");
  Rational d = Rational (1, 8);
  if (Moment *m = unsmob<Moment> (bsd))
    d = m->main_part_;

  if (max_idx != VPOS)
    d = min (d, durations[max_idx]);

  return Moment (d).smobbed_copy ();
}

void
Spacing_spanner::generate_pair_spacing (Grob *me,
                                        Paper_column *left_col, Paper_column *right_col,
                                        Paper_column *after_right_col,
                                        Spacing_options const *options)
{
  if (Paper_column::is_musical (left_col))
    {
      if (!Paper_column::is_musical (right_col)
          && (options->float_nonmusical_columns_ || to_boolean (right_col->get_property ("maybe-loose")))
          && after_right_col
          && Paper_column::is_musical (after_right_col))
        {
          /*
            TODO: should generate rods to prevent collisions.
          */
          musical_column_spacing (me, left_col, after_right_col, options);
          right_col->set_object ("between-cols", scm_cons (left_col->self_scm (),
                                                           after_right_col->self_scm ()));
        }
      else
        musical_column_spacing (me, left_col, right_col, options);

      if (Item *rb = right_col->find_prebroken_piece (LEFT))
        musical_column_spacing (me, left_col, rb, options);
    }
  else
    {
      /*
        The case that the right part is broken as well is rather
        rare, but it is possible, eg. with a single empty measure,
        or if one staff finishes a tad earlier than the rest.
      */
      Item *lb = left_col->find_prebroken_piece (RIGHT);
      Item *rb = right_col->find_prebroken_piece (LEFT);

      if (left_col && right_col)
        breakable_column_spacing (me, left_col, right_col, options);

      if (lb && right_col)
        breakable_column_spacing (me, lb, right_col, options);

      if (left_col && rb)
        breakable_column_spacing (me, left_col, rb, options);

      if (lb && rb)
        breakable_column_spacing (me, lb, rb, options);
    }
}

static void
set_column_rods (vector<Grob *> const &cols, Real padding)
{
  /* distances[i] will be the distance betwen cols[i-1] and cols[i], and
     overhangs[j] the amount by which cols[0 thru j] extend beyond cols[j]
     when each column is placed as far to the left as possible. */
  vector<Real> distances (cols.size ());
  vector<Real> overhangs (cols.size ());

  for (vsize i = 0; i < cols.size (); i++)
    {
      Item *r = dynamic_cast<Item *> (cols[i]);
      Item *rb = r->find_prebroken_piece (LEFT);

      if (Separation_item::is_empty (r) && (!rb || Separation_item::is_empty (rb)))
        continue;

      Skyline_pair *skys = unsmob<Skyline_pair> (r->get_property ("horizontal-skylines"));
      overhangs[i] = skys ? (*skys)[RIGHT].max_height () : 0.0;

      if (0 == i) continue;

      /* min rather than max because stickout will be negative if the right-hand column
         sticks out a lot to the left */
      Real stickout = min (skys ? (*skys)[LEFT].max_height () : 0.0,
                           Separation_item::conditional_skyline (r, cols[i - 1]).max_height ());

      Real prev_distances = 0.0;

      /* This is an inner loop and hence it is potentially quadratic. However, we only continue
         as long as there is a rod to insert. Therefore, this loop will usually only execute
         a constant number of times per iteration of the outer loop. */
      for (vsize j = i; j--;)
        {
          if (overhangs[j] + padding <= prev_distances + distances[i] + stickout)
            break; // cols[0 thru j] cannot reach cols[i]

          Item *l = dynamic_cast<Item *> (cols[j]);
          Item *lb = l->find_prebroken_piece (RIGHT);

          Real dist = Separation_item::set_distance (l, r, padding);
          distances[i] = max (distances[i], dist - prev_distances);

          if (lb)
            {
              dist = Separation_item::set_distance (lb, r, padding);
              // The left-broken version might reach more columns to the
              // right than the unbroken version, by extending farther and/or
              // nesting more closely;
              if (j == i - 1) // check this, the first time we see each lb.
                overhangs[j] = max (overhangs[j],
                                    lb->extent (lb, X_AXIS)[RIGHT]
                                    + distances[i] - dist);
            }
          if (rb)
            Separation_item::set_distance (l, rb, padding);
          if (lb && rb)
            Separation_item::set_distance (lb, rb, padding);

          prev_distances += distances[j];
        }
      overhangs[i] = max (overhangs[i],
                          overhangs[i - 1] - distances[i]);
    }
}

void
Spacing_spanner::generate_springs (Grob *me,
                                   vector<Grob *> const &cols,
                                   Spacing_options const *options)
{
  Paper_column *prev = dynamic_cast<Paper_column *> (cols[0]);
  for (vsize i = 1; i < cols.size (); i++)
    {
      Paper_column *col = dynamic_cast<Paper_column *> (cols[i]);
      Paper_column *next = (i + 1 < cols.size ()) ? dynamic_cast<Paper_column *> (cols[i + 1]) : 0;

      generate_pair_spacing (me, prev, col, next, options);

      prev = col;
    }

  Real padding = robust_scm2double (prev->get_property ("padding"), 0.1);
  set_column_rods (cols, padding);
}

/*
  Generate the space between two musical columns LEFT_COL and RIGHT_COL.
*/
void
Spacing_spanner::musical_column_spacing (Grob *me,
                                         Item *left_col,
                                         Item *right_col,
                                         Spacing_options const *options)
{
  Spring spring = note_spacing (me, left_col, right_col, options);

  if (options->stretch_uniformly_)
    {
      spring.set_min_distance (0.0);
      spring.set_default_strength ();
    }
  else
    {
      vector<Spring> springs;
      extract_grob_set (left_col, "spacing-wishes", wishes);

      for (vsize i = 0; i < wishes.size (); i++)
        {
          Grob *wish = wishes[i];
          if (Spacing_interface::left_column (wish) != left_col)
            {
              /* This shouldn't really happen, but the ancient music
                 stuff really messes up the spacing code, grrr
              */
              continue;
            }

          extract_grob_set (wish, "right-items", right_items);
          bool found_matching_column = false;
          for (vsize j = 0; j < right_items.size (); j++)
            {
              Item *it = dynamic_cast<Item *> (right_items[j]);
              if (it && (right_col == it->get_column ()
                         || right_col->original () == it->get_column ()))
                found_matching_column = true;
            }

          /*
            This is probably a waste of time in the case of polyphonic
            music.  */
          if (found_matching_column && has_interface<Note_spacing> (wish))
            {
              Real inc = options->increment_;
              Grob *gsp = unsmob<Grob> (left_col->get_object ("grace-spacing"));
              if (gsp && Paper_column::when_mom (left_col).grace_part_)
                {
                  Spacing_options grace_opts;
                  grace_opts.init_from_grob (gsp);
                  inc = grace_opts.increment_;
                }
              springs.push_back (Note_spacing::get_spacing (wish, right_col, spring, inc));
            }
        }

      if (springs.empty ())
        {
          if (Paper_column::is_musical (right_col))
            {
              /*
                Min distance should be 0.0. If there are no spacing
                wishes, we're probably dealing with polyphonic spacing
                of hemiolas.
              */
              spring.set_min_distance (0.0);
            }
        }
      else
        spring = merge_springs (springs);
    }

  if (Paper_column::when_mom (right_col).grace_part_
      && !Paper_column::when_mom (left_col).grace_part_)
    {
      /*
        Ugh. 0.8 is arbitrary.
      */
      spring *= 0.8;
    }

  /*
    TODO: make sure that the space doesn't exceed the right margin.
  */
  if (options->packed_)
    {
      /*
        In packed mode, pack notes as tight as possible.  This makes
        sense mostly in combination with ragged-right mode: the notes
        are then printed at minimum distance.  This is mostly useful
        for ancient notation, but may also be useful for some flavours
        of contemporary music.  If not in ragged-right mode, lily will
        pack as many bars of music as possible into a line, but the
        line will then be stretched to fill the whole linewidth.

        Note that we don't actually pack things as tightly as possible:
        we don't allow the next column to begin before this one ends.
      */
      /* FIXME: the else clause below is the "right" thing to do,
         but we can't do it because of all the empty columns that the
         ligature-engravers leave lying around. In that case, the extent of
         the column is incorrect because it includes note-heads that aren't
         there. We get around this by only including the column extent if
         the left-hand column is "genuine". This is a dirty hack and it
         should be fixed in the ligature-engravers. --jneem
      */
      if (Paper_column::is_extraneous_column_from_ligature (left_col))
        spring.set_distance (spring.min_distance ());
      else
        spring.set_distance (max (left_col->extent (left_col, X_AXIS)[RIGHT],
                                  spring.min_distance ()));

      spring.set_inverse_stretch_strength (1.0);
    }

  Spaceable_grob::add_spring (left_col, right_col, spring);
}

/*
  Check if COL fills the whole measure.
 */
bool
Spacing_spanner::fills_measure (Grob *me, Item *left, Item *col)
{
  System *sys = get_root_system (me);
  Item *next = sys->column (col->get_column ()->get_rank () + 1);
  if (!next)
    return false;

  if (Paper_column::is_musical (next)
      || Paper_column::is_musical (left)
      || !Paper_column::is_musical (col)
      || !Paper_column::is_used (next))
    return false;

  Moment dt
    = Paper_column::when_mom (next) - Paper_column::when_mom (col);

  Moment *len = unsmob<Moment> (left->get_property ("measure-length"));
  if (!len)
    return false;

  /*
    Don't check for exact measure length, since ending measures are
    often shortened due to pickups.
   */
  if (dt.main_part_ > len->main_part_ / Rational (2)
      && (next->is_broken ()
          || next->break_status_dir ()))
    return true;

  return false;
}

/*
  Read hints from L and generate springs.
*/
void
Spacing_spanner::breakable_column_spacing (Grob *me, Item *l, Item *r,
                                           Spacing_options const *options)
{
  vector<Spring> springs;
  Spring spring;

  Real full_measure_space = 0.0;
  if (Paper_column::is_musical (r)
      && l->break_status_dir () == CENTER
      && fills_measure (me, l, r))
    full_measure_space = robust_scm2double (l->get_property ("full-measure-extra-space"), 1.0);

  Moment dt = Paper_column::when_mom (r) - Paper_column::when_mom (l);

  if (dt == Moment (0, 0))
    {
      extract_grob_set (l, "spacing-wishes", wishes);

      for (vsize i = 0; i < wishes.size (); i++)
        {
          Item *spacing_grob = dynamic_cast<Item *> (wishes[i]);

          if (!spacing_grob || !has_interface<Staff_spacing> (spacing_grob))
            continue;

          /*
            column for the left one settings should be ok due automatic
            pointer munging.
          */
          assert (spacing_grob->get_column () == l);

          springs.push_back (Staff_spacing::get_spacing (spacing_grob, r,
                                                         full_measure_space));
        }
    }

  if (springs.empty ())
    spring = standard_breakable_column_spacing (me, l, r, options);
  else
    spring = merge_springs (springs);

  if (Paper_column::when_mom (r).grace_part_)
    {
      /*
        Correct for grace notes.

        Ugh. The 0.8 is arbitrary.
      */
      spring *= 0.8;
    }

  if (options->stretch_uniformly_ && l->break_status_dir () != RIGHT)
    {
      spring.set_min_distance (0.0);
      spring.set_default_strength ();
    }

  Spaceable_grob::add_spring (l, r, spring);
}

ADD_INTERFACE (Spacing_spanner,
               "The space taken by a note is dependent on its duration."
               "  Doubling a duration adds @code{spacing-increment} to the"
               " space.  The most common shortest note gets"
               " @code{shortest-duration-space}.  Notes that are even shorter"
               " are spaced proportonial to their duration.\n"
               "\n"
               "Typically, the increment is the width of a black note head."
               "  In a piece with lots of 8th notes, and some 16th notes, the"
               " eighth note gets a 2@tie{}note heads width (i.e., the space"
               " following a note is a 1@tie{}note head width).  A 16th note"
               " is followed by 0.5 note head width.  The quarter note is"
               " followed by 3@tie{}NHW, the half by 4@tie{}NHW, etc.",

               /* properties */
               "average-spacing-wishes "
               "base-shortest-duration "
               "common-shortest-duration "
               "packed-spacing "
               "shortest-duration-space "
               "spacing-increment "
               "strict-grace-spacing "
               "strict-note-spacing "
               "uniform-stretching "
              );

