]> git.donarmstrong.com Git - lilypond.git/blobdiff - lily/tie-formatting-problem.cc
Run `make grand-replace'.
[lilypond.git] / lily / tie-formatting-problem.cc
index 0e29d3ca50a1f028c7c1f87270e333bf31538208..dbbf1074a159d9044cbe98c54391f103d7f0c8c7 100644 (file)
@@ -3,27 +3,28 @@
 
   source file of the GNU LilyPond music typesetter
 
-  (c) 2005--2006 Han-Wen Nienhuys <hanwen@xs4all.nl>
+  (c) 2005--2008 Han-Wen Nienhuys <hanwen@xs4all.nl>
 
 */
 
 #include "tie-formatting-problem.hh"
 
+#include "axis-group-interface.hh"
 #include "paper-column.hh"
-#include "bezier.hh" 
+#include "bezier.hh"
 #include "directional-element-interface.hh"
-#include "item.hh"
 #include "libc-extension.hh"
 #include "misc.hh"
 #include "note-head.hh"
 #include "rhythmic-head.hh"
-#include "spanner.hh" 
+#include "spanner.hh"
 #include "staff-symbol-referencer.hh"
 #include "stem.hh"
 #include "tie-configuration.hh"
 #include "tie.hh"
 #include "warn.hh"
-
+#include "pointer-group-interface.hh"
+#include "output-def.hh"
 
 void
 Tie_formatting_problem::print_ties_configuration (Ties_configuration const *ties)
@@ -49,7 +50,7 @@ Tie_formatting_problem::get_attachment (Real y, Drul_array<int> columns) const
       Tuple2<int> key (columns[d], int (d));
       Chord_outline_map::const_iterator i (chord_outlines_.find (key));
       if (i == chord_outlines_.end ())
-       programming_error ("Can't find chord outline");
+       programming_error ("Cannot find chord outline");
       else
        attachments[d] = i->second.height (y);
     }
@@ -58,9 +59,11 @@ Tie_formatting_problem::get_attachment (Real y, Drul_array<int> columns) const
   return attachments;
 }
 
-Tie_formatting_problem::Tie_formatting_problem()
+Tie_formatting_problem::Tie_formatting_problem ()
 {
   x_refpoint_ = 0;
+  y_refpoint_ = 0;
+  use_horizontal_spacing_ = true;
 }
 
 Tie_formatting_problem::~Tie_formatting_problem ()
@@ -104,6 +107,9 @@ Tie_formatting_problem::set_column_chord_outline (vector<Item*> bounds,
          Interval x = dots->extent (x_refpoint_, X_AXIS);
          int p = int (Staff_symbol_referencer::get_position (dots));
 
+         /*
+           TODO: shouldn't this use column-rank dependent key?  
+         */
          dot_positions_.insert (p);
          dot_x_.unite (x);
 
@@ -116,45 +122,92 @@ Tie_formatting_problem::set_column_chord_outline (vector<Item*> bounds,
 
   Tuple2<int> key (column_rank, int (dir));
 
-  if (stem
-      && !Stem::is_invisible (stem))
+  if (stem)
     {
-      Interval x;
-      x.add_point (stem->relative_coordinate (x_refpoint_, X_AXIS));
-      x.widen (staff_space / 20); // ugh.
-      Interval y;
-      y.add_point (Stem::stem_end_position (stem) * staff_space * .5);
+      if (Stem::is_normal_stem (stem))
+       {
+         Interval x;
+         x.add_point (stem->relative_coordinate (x_refpoint_, X_AXIS));
+         x.widen (staff_space / 20); // ugh.
+         Interval y;
+
+         Real stem_end_position = 0.0;
+         if (Stem::is_cross_staff (stem))
+           stem_end_position =  get_grob_direction (stem) * infinity_f;
+         else
+           {
+             if (use_horizontal_spacing_ || !Stem::get_beam (stem))
+               stem_end_position = Stem::stem_end_position (stem) * staff_space * .5;
+             else
+               stem_end_position = Stem::note_head_positions (stem)[get_grob_direction (stem)]
+                 * staff_space * .5;
+           }
+         
+         y.add_point (stem_end_position);
 
-      Direction stemdir = get_grob_direction (stem);
-      y.add_point (Stem::head_positions (stem)[-stemdir]
-                  * staff_space * .5);
+         Direction stemdir = get_grob_direction (stem);
+         y.add_point (Stem::head_positions (stem)[-stemdir]
+                      * staff_space * .5);
 
-      boxes.push_back (Box (x, y));
+         /*
+           add extents of stem.
+         */
+         boxes.push_back (Box (x, y));
 
-      stem_extents_[key].unite (Box (x,y));
+         stem_extents_[key].unite (Box (x, y));
 
-      if (dir == LEFT)
+         if (dir == LEFT)
+           {
+             Box flag_box = Stem::get_translated_flag (stem).extent_box ();
+             flag_box.translate ( Offset (x[RIGHT], X_AXIS));
+             boxes.push_back (flag_box);
+           }
+       }
+      else
        {
-         Box flag_box = Stem::get_translated_flag (stem).extent_box ();
-         flag_box.translate( Offset (x[RIGHT], X_AXIS));
-         boxes.push_back (flag_box);
+         Grob *head = Stem::support_head (stem);
+
+         /*
+           In case of invisible stem, don't pass x-center of heads.
+         */
+         Real x_center = head->extent (x_refpoint_, X_AXIS).center ();
+         Interval x_ext;
+         x_ext[-dir] = x_center;
+         x_ext[dir] = infinity_f * dir;
+         Interval y_ext;
+         for (vsize j = 0; j < head_boxes.size (); j++)
+           y_ext.unite (head_boxes[j][Y_AXIS]);
+
+         boxes.push_back (Box (x_ext, y_ext));
        }
-    }
-  else if (stem)
-    {
-      Grob *head = Stem::support_head (stem);
 
-      /*
-       In case of invisible stem, don't pass x-center of heads.
-       */
-      Real x_center = head->extent (x_refpoint_, X_AXIS).center ();
-      Interval x_ext;
-      x_ext[-dir] = x_center;
-      Interval y_ext;
-      for (vsize j = 0; j < head_boxes.size (); j++)
-       y_ext.unite (head_boxes[j][Y_AXIS]);
+      extract_grob_set (stem, "note-heads", heads);
+      for (vsize i = 0; i < heads.size (); i ++)
+       {
+         if (find (bounds.begin (), bounds.end (), dynamic_cast<Item*> (heads[i])) ==  bounds.end ())
+           {
+             /*
+               other untied notes in the same chord.
+             */
+         
+             Interval y = Staff_symbol_referencer::extent_in_staff (heads[i]);
+             Interval x = heads[i]->extent (x_refpoint_, X_AXIS);
+             boxes.push_back (Box (x, y));
+           }
+         
+         Grob *acc = unsmob_grob (heads[i]->get_object ("accidental-grob"));
+         if (acc)
+           acc->get_property ("stencil"); /* trigger tie-related suicide */
+
+         if (acc && acc->is_live () && dir == RIGHT)
+           {
+             boxes.push_back (Box (acc->extent (x_refpoint_, X_AXIS),
+                                   Staff_symbol_referencer::extent_in_staff (acc)));
+           }
 
-      boxes.push_back (Box (x_ext, y_ext));
+         head_positions_[column_rank].add_point (int (Staff_symbol_referencer::get_position (heads[i])));
+       }
+      
     }
   
   Direction updowndir = DOWN;
@@ -162,7 +215,7 @@ Tie_formatting_problem::set_column_chord_outline (vector<Item*> bounds,
     {
       Interval x;
       Interval y;
-      if (head_boxes.size())
+      if (head_boxes.size ())
        {
          Box b = boundary (head_boxes, updowndir, 0);
          x = b[X_AXIS];
@@ -175,12 +228,16 @@ Tie_formatting_problem::set_column_chord_outline (vector<Item*> bounds,
        boxes.push_back (Box (x, y));
     }
   while (flip (&updowndir) != DOWN);
-  
-  chord_outlines_[key] = Skyline (boxes, Y_AXIS, -dir);
+
+  /* todo: the horizon_padding is somewhat arbitrary */
+  chord_outlines_[key] = Skyline (boxes, details_.skyline_padding_, Y_AXIS, -dir);
   if (bounds[0]->break_status_dir ())
     {
-      Real x = robust_relative_extent (bounds[0],  x_refpoint_, X_AXIS)[-dir];
-      chord_outlines_[key].set_minimum_height (x);
+      Interval iv (Axis_group_interface::staff_extent (bounds[0], x_refpoint_, X_AXIS, y_refpoint_, Y_AXIS));
+      if (iv.is_empty ())
+       iv.add_point (bounds[0]->relative_coordinate (x_refpoint_, X_AXIS));
+
+      chord_outlines_[key].set_minimum_height (iv[-dir]);
     }
   else
     {
@@ -250,10 +307,20 @@ Tie_formatting_problem::from_ties (vector<Grob*> const &ties)
     return;
   
   x_refpoint_ = ties[0];
+  y_refpoint_ = ties[0];
   for (vsize i = 0; i < ties.size (); i++)
     {
-      x_refpoint_ = dynamic_cast<Spanner*> (ties[i])->get_bound (LEFT)->common_refpoint (x_refpoint_, X_AXIS); 
-      x_refpoint_ = dynamic_cast<Spanner*> (ties[i])->get_bound (RIGHT)->common_refpoint (x_refpoint_, X_AXIS); 
+      Spanner *tie = dynamic_cast<Spanner*> (ties[i]);
+      Item *l = tie->get_bound (LEFT);
+      Item *r = tie->get_bound (RIGHT);
+
+      x_refpoint_ = l->common_refpoint (x_refpoint_, X_AXIS); 
+      x_refpoint_ = r->common_refpoint (x_refpoint_, X_AXIS);
+
+      if (!l->break_status_dir ())
+       y_refpoint_ = l->common_refpoint (y_refpoint_, Y_AXIS); 
+      if (!r->break_status_dir ())
+       y_refpoint_ = r->common_refpoint (y_refpoint_, Y_AXIS); 
     }
 
   details_.from_grob (ties[0]);
@@ -266,7 +333,9 @@ Tie_formatting_problem::from_ties (vector<Grob*> const &ties)
       for (vsize i = 0; i < ties.size (); i++)
        {
          Item *it = dynamic_cast<Spanner*> (ties[i])->get_bound (d);
-                                            
+         if (it->break_status_dir ())
+             it = it->get_column ();
+
          bounds.push_back (it);
        }
       
@@ -278,16 +347,12 @@ Tie_formatting_problem::from_ties (vector<Grob*> const &ties)
   for (vsize i = 0; i < ties.size (); i++)
     {
       Tie_specification spec;
-
-      spec.get_tie_manual_settings (ties[i]);
-      
-
+      spec.from_grob (ties[i]);
       
       do
        {
          spec.note_head_drul_[d] = Tie::head (ties[i], d);
-         spec.column_ranks_[d] =
-           dynamic_cast<Spanner*> (ties[i])->get_bound (d)->get_column ()->get_rank ();
+         spec.column_ranks_[d] = Tie::get_column_rank (ties[i], d);
        }
       while (flip (&d) != LEFT);
       specifications_.push_back (spec);
@@ -299,7 +364,8 @@ Tie_formatting_problem::from_semi_ties (vector<Grob*> const &semi_ties, Directio
 {
   if (semi_ties.empty ())
     return;
-  
+
+  use_horizontal_spacing_ = false; 
   details_.from_grob (semi_ties[0]);
   vector<Item*> heads;
 
@@ -317,20 +383,28 @@ Tie_formatting_problem::from_semi_ties (vector<Grob*> const &semi_ties, Directio
          spec.position_ = int (Staff_symbol_referencer::get_position (head));
        }
 
-      spec.get_tie_manual_settings (semi_ties[i]);
+      spec.from_grob (semi_ties[i]);
       
       spec.note_head_drul_[head_dir] = head;
-      column_rank = dynamic_cast<Item*> (head)->get_column ()->get_rank ();
+      column_rank = Tie::get_column_rank (semi_ties[i], head_dir);
       spec.column_ranks_ = Drul_array<int> (column_rank, column_rank);
       heads.push_back (head);
       specifications_.push_back (spec);
     }
 
-  x_refpoint_ = semi_ties [0];
+  x_refpoint_ = semi_ties[0];
+  y_refpoint_ = semi_ties[0];
+
   for (vsize i = 0; i < semi_ties.size (); i++)
-    x_refpoint_ = semi_ties[i]->common_refpoint (x_refpoint_, X_AXIS); 
+    {
+      x_refpoint_ = semi_ties[i]->common_refpoint (x_refpoint_, X_AXIS); 
+      y_refpoint_ = semi_ties[i]->common_refpoint (y_refpoint_, Y_AXIS); 
+    }
   for (vsize i = 0; i < heads.size (); i++)
-    x_refpoint_ = heads[i]->common_refpoint (x_refpoint_, X_AXIS); 
+    {
+      x_refpoint_ = heads[i]->common_refpoint (x_refpoint_, X_AXIS); 
+      y_refpoint_ = heads[i]->common_refpoint (y_refpoint_, Y_AXIS) ;
+    }
 
   set_chord_outline (heads, head_dir);
 
@@ -354,7 +428,8 @@ Tie_formatting_problem::get_tie_specification (int i) const
   Return configuration, create it if necessary. 
 */
 Tie_configuration*
-Tie_formatting_problem::get_configuration (int pos, Direction dir, Drul_array<int> columns) const
+Tie_formatting_problem::get_configuration (int pos, Direction dir, Drul_array<int> columns,
+                                          bool tune_dy) const
 {
   int key_components[] = {
     pos, dir, columns[LEFT], columns[RIGHT]
@@ -368,14 +443,14 @@ Tie_formatting_problem::get_configuration (int pos, Direction dir, Drul_array<in
     }
 
   
-  Tie_configuration *conf = generate_configuration (pos, dir, columns);
+  Tie_configuration *conf = generate_configuration (pos, dir, columns, tune_dy);
   ((Tie_formatting_problem*) this)->possibilities_[key] = conf;
   return conf;
 }
 
 Tie_configuration*
 Tie_formatting_problem::generate_configuration (int pos, Direction dir,
-                                               Drul_array<int> columns) const
+                                               Drul_array<int> columns, bool y_tune) const
 {
   Tie_configuration *conf = new Tie_configuration;
   conf->position_ = pos;
@@ -385,7 +460,6 @@ Tie_formatting_problem::generate_configuration (int pos, Direction dir,
   
   Real y = conf->position_ * 0.5 * details_.staff_space_;
 
-  bool y_tune = true;
   if (dot_positions_.find (pos) != dot_positions_.end ())
     {
       conf->delta_y_ += dir * 0.25 * details_.staff_space_;
@@ -416,37 +490,41 @@ Tie_formatting_problem::generate_configuration (int pos, Direction dir,
        size.
        
        */
-      if (h < details_.intra_space_threshold_ * 0.5 * details_.staff_space_)
+      if (head_positions_slice (columns[LEFT]).contains (pos)
+         || head_positions_slice (columns[RIGHT]).contains (pos)
+         || abs (pos) < 2 * Staff_symbol_referencer::staff_radius (details_.staff_symbol_referencer_))
        {
-         if (!Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_, pos)
-             && abs (pos) < 2 * Staff_symbol_referencer::staff_radius (details_.staff_symbol_referencer_))
-           {
-             conf->center_tie_vertically (details_);
-           }
-         else if (Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_, pos))
+         if (h < details_.intra_space_threshold_ * 0.5 * details_.staff_space_)
            {
-             conf->delta_y_ += dir *
-               details_.tip_staff_line_clearance_ * 0.5 *  details_.staff_space_;
+             if (!Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_, pos)
+                 && abs (pos) < 2 * Staff_symbol_referencer::staff_radius (details_.staff_symbol_referencer_))
+               {
+                 conf->center_tie_vertically (details_);
+               }
+             else if (Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_, pos))
+               {
+                 conf->delta_y_ += dir *
+                   details_.tip_staff_line_clearance_ * 0.5 *  details_.staff_space_;
+               }
            }
-       }
-      else 
-       {
-         Real top_y = y + conf->delta_y_ + conf->dir_ * h;
-         Real top_pos = top_y / (0.5*details_.staff_space_);
-         int round_pos = int (my_round (top_pos));
-
-         /* TODO: should use other variable? */
-         Real clearance = details_.center_staff_line_clearance_;
-         if (fabs (top_pos - round_pos) < clearance
-             && Staff_symbol_referencer::on_staff_line (details_.staff_symbol_referencer_,
-                                                        round_pos))
+         else 
            {
-             Real new_y = (round_pos + clearance * conf->dir_) * 0.5 * details_.staff_space_;
-             conf->delta_y_ = (new_y - top_y);
+             Real top_y = y + conf->delta_y_ + conf->dir_ * h;
+             Real top_pos = top_y / (0.5*details_.staff_space_);
+             int round_pos = int (my_round (top_pos));
+
+             /* TODO: should use other variable? */
+             Real clearance = details_.center_staff_line_clearance_;
+             if (fabs (top_pos - round_pos) < clearance
+                 && Staff_symbol_referencer::on_staff_line (details_.staff_symbol_referencer_,
+                                                            round_pos))
+               {
+                 Real new_y = (round_pos + clearance * conf->dir_) * 0.5 * details_.staff_space_;
+                 conf->delta_y_ = (new_y - top_y);
+               }
            }
        }
-    }
-  
+    }  
   conf->attachment_x_ = get_attachment (y + conf->delta_y_, conf->column_ranks_);
   if (conf->height (details_) < details_.intra_space_threshold_ * 0.5 * details_.staff_space_)
     {
@@ -532,7 +610,8 @@ Tie_formatting_problem::score_aptitude (Tie_configuration *conf,
     }
 
   {
-    Real p = details_.vertical_distance_penalty_factor_ * fabs (curve_y - tie_y);
+    Real relevant_dist = max (fabs (curve_y - tie_y) - 0.5, 0.0);
+    Real p = details_.vertical_distance_penalty_factor_ * convex_amplifier (1.0, 0.9, relevant_dist);
     if (ties_conf)
       ties_conf->add_tie_score (p, tie_idx, "vdist");
     else
@@ -547,22 +626,77 @@ Tie_formatting_problem::score_aptitude (Tie_configuration *conf,
       
       Interval head_x = spec.note_head_drul_[d]->extent (x_refpoint_, X_AXIS);
       Real dist = head_x.distance (conf->attachment_x_[d]);
+      
 
       /*
        TODO: flatten with log or sqrt.
        */
-      Real p = details_.horizontal_distance_penalty_factor_ * dist;
+      Real p = details_.horizontal_distance_penalty_factor_
+       * convex_amplifier (1.25, 1.0, dist);
       if (ties_conf)
        ties_conf->add_tie_score (p, tie_idx,
                                  (d == LEFT) ? "lhdist" : "rhdist");
       else
        penalty += p;
+
     }
   while (flip (&d) != LEFT);
 
+  if (ties_conf
+      && ties_conf->size () == 1)
+    {
+      Direction d = LEFT;
+      Drul_array<Grob*> stems (0, 0);
+      do
+       {
+         if (!spec.note_head_drul_[d])
+           continue;
+
+         Grob *stem = unsmob_grob (spec.note_head_drul_[d]->get_object ("stem"));
+         if (stem
+             && Stem::is_normal_stem (stem))
+           stems[d] = stem;
+       }
+      while (flip (&d) != LEFT);
+
+      bool tie_stem_dir_ok = true;
+      bool tie_position_dir_ok = true;
+      if (stems[LEFT] && !stems[RIGHT])
+       tie_stem_dir_ok = conf->dir_ != get_grob_direction (stems[LEFT]);
+      else if (!stems[LEFT] && stems[RIGHT])
+       tie_stem_dir_ok = conf->dir_ != get_grob_direction (stems[RIGHT]);
+      else if (stems[LEFT] && stems[RIGHT]
+         && get_grob_direction (stems[LEFT]) == get_grob_direction (stems[RIGHT]))
+       tie_stem_dir_ok = conf->dir_ != get_grob_direction (stems[LEFT]);
+      else if (spec.position_)
+       tie_position_dir_ok = conf->dir_ == sign (spec.position_);
+
+      if (!tie_stem_dir_ok)
+       ties_conf->add_score (details_.same_dir_as_stem_penalty_, "tie/stem dir");
+      if (!tie_position_dir_ok)
+       ties_conf->add_score (details_.same_dir_as_stem_penalty_, "tie/pos dir");
+    }
+           
   return penalty;
 }
 
+
+Slice
+Tie_formatting_problem::head_positions_slice (int rank) const
+{
+  Position_extent_map::const_iterator i (head_positions_.find (rank));
+  if (i != head_positions_.end ())
+    {
+      return  (*i).second; 
+    }
+  Slice empty;
+  return empty;
+}
+
+/*
+  Score a configuration, ie. how well these ties looks without regard
+  to the note heads that they should connect to.
+ */
 void
 Tie_formatting_problem::score_configuration (Tie_configuration *conf) const
 {
@@ -573,9 +707,10 @@ Tie_formatting_problem::score_configuration (Tie_configuration *conf) const
   
   Real length = conf->attachment_x_.length ();
 
+  Real length_penalty
+    = peak_around (0.33 * details_.min_length_, details_.min_length_, length);
   conf->add_score (details_.min_length_penalty_factor_
-                  * peak_around (0.33 * details_.min_length_, details_.min_length_, length),
-                  "minlength");
+                  * length_penalty, "minlength");
   
   Real tip_pos = conf->position_ + conf->delta_y_ / 0.5 * details_.staff_space_;
   Real tip_y = tip_pos * details_.staff_space_ * 0.5;
@@ -591,13 +726,17 @@ Tie_formatting_problem::score_configuration (Tie_configuration *conf) const
       conf->add_score (
        details_.staff_line_collision_penalty_
        * peak_around (0.1 * details_.center_staff_line_clearance_,
-                    details_.center_staff_line_clearance_,
+                      details_.center_staff_line_clearance_,
                       fabs (top_pos - round_top_pos)),
        "line center");
     }
-  
-  if (Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_,
-                                       int (rint (tip_pos))))
+
+  int rounded_tip_pos = int (rint (tip_pos));
+  if (Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_, rounded_tip_pos)
+      && (head_positions_slice (conf->column_ranks_[LEFT]).contains (rounded_tip_pos)
+         || head_positions_slice (conf->column_ranks_[RIGHT]).contains (rounded_tip_pos)
+         || abs (rounded_tip_pos) < 2 * Staff_symbol_referencer::staff_radius (details_.staff_symbol_referencer_))
+         )
     {
       conf->add_score (details_.staff_line_collision_penalty_
                       * peak_around (0.1 * details_.tip_staff_line_clearance_,
@@ -632,96 +771,6 @@ Tie_formatting_problem::score_configuration (Tie_configuration *conf) const
   conf->scored_ = true;
 }
 
-Tie_configuration
-Tie_formatting_problem::find_optimal_tie_configuration (Tie_specification const &spec) const
-{
-  vector<Tie_configuration*> confs;
-
-  int pos = spec.position_;
-  Direction dir = spec.manual_dir_;
-
-  for (int i = 0; i < details_.single_tie_region_size_; i ++)
-    {
-      confs.push_back (generate_configuration (pos + i * dir, dir,
-                                              spec.column_ranks_));
-      
-      if (spec.has_manual_position_)
-       {
-         confs.back ()->delta_y_
-           = (spec.manual_position_ - spec.position_)
-           * 0.5 * details_.staff_space_;
-
-         break;
-       }
-    }
-
-  vector<Real> scores;
-
-  int best_idx = -1;
-  Real best_score = 1e6;
-  for (vsize i = 0; i < confs.size (); i ++)
-    {
-      score_configuration (confs[i]);
-      Real score = score_aptitude (confs[i], spec, 0, 0)
-       + confs[i]->score ();
-
-      if (score < best_score)
-       {
-         best_score = score;
-         best_idx = i;
-       }
-    }
-
-  if (best_idx < 0)
-    programming_error ("No best tie configuration found.");
-
-  Tie_configuration best
-    = (best_idx >= 0) ?  *confs[best_idx] : *confs[0];
-  
-  for (vsize i = 0; i < confs.size (); i++)
-    delete confs[i];
-
-  return best;
-}
-
-Tie_specification::Tie_specification ()
-{
-  has_manual_position_ = false;
-  has_manual_dir_ = false;
-  position_ = 0;
-  manual_position_ = 0;
-  manual_dir_ = CENTER;
-  note_head_drul_[LEFT] =
-    note_head_drul_[RIGHT] = 0;
-  column_ranks_[RIGHT] =
-    column_ranks_[LEFT] = 0;
-}
-
-
-void
-Tie_specification::get_tie_manual_settings (Grob *tie)
-{
-  if (scm_is_number (tie->get_property_data ("direction")))
-    {
-      manual_dir_ = to_dir (tie->get_property ("direction"));
-      has_manual_dir_ = true;
-    }
-  
-  position_ = Tie::get_position (tie);
-  if (scm_is_number (tie->get_property ("staff-position")))
-    {
-      manual_position_ = scm_to_double (tie->get_property ("staff-position"));
-      has_manual_position_ = true;
-      position_ = int (my_round (manual_position_));
-    }
-}
-
-int
-Tie_specification::column_span () const
-{
-  return column_ranks_[RIGHT] - column_ranks_[LEFT];
-}
-
 void
 Tie_formatting_problem::score_ties_aptitude (Ties_configuration *ties) const
 {
@@ -787,19 +836,22 @@ Tie_formatting_problem::score_ties_configuration (Ties_configuration *ties) cons
       last_center = center;
     }
 
-  ties->add_score (details_.outer_tie_length_symmetry_penalty_factor_
-                  * fabs (ties->at (0).attachment_x_.length () - ties->back ().attachment_x_.length ()),
-                  "length symm");
+  if (ties->size () > 1)
+    {
+      ties->add_score (details_.outer_tie_length_symmetry_penalty_factor_
+                      * fabs (ties->at (0).attachment_x_.length () - ties->back ().attachment_x_.length ()),
+                      "length symm");
   
-  ties->add_score (details_.outer_tie_vertical_distance_symmetry_penalty_factor_
-                  * fabs (fabs (specifications_[0].position_ * 0.5 * details_.staff_space_
-                                - (ties->at (0).position_ * 0.5 * details_.staff_space_
-                                   + ties->at (0).delta_y_))
-                          -
-                          fabs (specifications_.back ().position_ * 0.5 * details_.staff_space_
-                                - (ties->back ().position_ * 0.5 * details_.staff_space_
-                                   + ties->back ().delta_y_))),
-                  "pos symmetry");
+      ties->add_score (details_.outer_tie_vertical_distance_symmetry_penalty_factor_
+                      * fabs (fabs (specifications_[0].position_ * 0.5 * details_.staff_space_
+                                    - (ties->at (0).position_ * 0.5 * details_.staff_space_
+                                       + ties->at (0).delta_y_))
+                              -
+                              fabs (specifications_.back ().position_ * 0.5 * details_.staff_space_
+                                    - (ties->back ().position_ * 0.5 * details_.staff_space_
+                                       + ties->back ().delta_y_))),
+                      "pos symmetry");
+    }
 }
 
 /*
@@ -813,8 +865,9 @@ Tie_formatting_problem::generate_ties_configuration (Ties_configuration const &t
   for (vsize i = 0; i < ties_config.size (); i++)
     {
       Tie_configuration * ptr = get_configuration (ties_config[i].position_, ties_config[i].dir_,
-                                                  ties_config[i].column_ranks_);
-      if (specifications_[i].has_manual_position_)
+                                                  ties_config[i].column_ranks_,
+                                                  !specifications_[i].has_manual_delta_y_);
+      if (specifications_[i].has_manual_delta_y_)
        {
          ptr->delta_y_
            = (specifications_[i].manual_position_ - ties_config[i].position_)
@@ -838,8 +891,9 @@ Tie_formatting_problem::generate_base_chord_configuration ()
       if (specifications_[i].has_manual_position_)
        {
          conf.position_ = (int) my_round (specifications_[i].manual_position_);
-         conf.delta_y_ = (specifications_[i].manual_position_ - conf.position_)
-           * 0.5 * details_.staff_space_;
+         if (specifications_[i].has_manual_delta_y_)
+           conf.delta_y_ = (specifications_[i].manual_position_ - conf.position_)
+             * 0.5 * details_.staff_space_;
        }
       else
        {
@@ -862,7 +916,7 @@ Tie_formatting_problem::generate_base_chord_configuration ()
 
 Ties_configuration
 Tie_formatting_problem::find_best_variation (Ties_configuration const &base,
-                                            vector<Tie_configuration_variation> vars)
+                                            vector<Tie_configuration_variation> const &vars)
 {
   Ties_configuration best = base;
   
@@ -873,7 +927,8 @@ Tie_formatting_problem::find_best_variation (Ties_configuration const &base,
   for (vsize i = 0; i < vars.size (); i++)
     {
       Ties_configuration variant (base);
-      variant[vars[i].index_] = *vars[i].suggestion_;
+      for (vsize j = 0; j < vars[i].index_suggestion_pairs_.size(); j++)
+       variant[vars[i].index_suggestion_pairs_[j].first] = *vars[i].index_suggestion_pairs_[j].second;
 
       variant.reset_score ();
       score_ties (&variant);
@@ -890,16 +945,24 @@ Tie_formatting_problem::find_best_variation (Ties_configuration const &base,
                                       
 
 Ties_configuration
-Tie_formatting_problem::generate_optimal_chord_configuration ()
+Tie_formatting_problem::generate_optimal_configuration ()
 {
   Ties_configuration base = generate_base_chord_configuration ();
-  vector<Tie_configuration_variation> vars = generate_collision_variations (base);
-  
   score_ties (&base);
+
+  vector<Tie_configuration_variation> vars;  
+  if (specifications_.size () > 1)
+    vars = generate_collision_variations (base);
+  else
+    vars = generate_single_tie_variations (base);
+
   Ties_configuration best = find_best_variation (base, vars);
-  vars = generate_extremal_tie_variations (best);
-  best = find_best_variation (best, vars);
 
+  if (specifications_.size () > 1)
+    {
+      vars = generate_extremal_tie_variations (best);
+      best = find_best_variation (best, vars);
+    }
   return best;
 }
 
@@ -915,7 +978,8 @@ Tie_formatting_problem::set_ties_config_standard_directions (Ties_configuration
        tie_configs->at (0).dir_ = Direction (sign (tie_configs->at (0).position_));
 
       if (!tie_configs->at (0).dir_)
-       tie_configs->at (0).dir_ = DOWN;
+       tie_configs->at (0).dir_
+         = (tie_configs->size() > 1) ? DOWN : details_.neutral_direction_;
     }
   
   if (!tie_configs->back ().dir_)
@@ -947,7 +1011,7 @@ Tie_formatting_problem::set_ties_config_standard_directions (Ties_configuration
        }
     }
 
-  for (vsize i = 1; i < tie_configs->size() - 1; i++)
+  for (vsize i = 1; i + 1 < tie_configs->size (); i++)
     {
       Tie_configuration &conf = tie_configs->at (i);
       if (conf.dir_)
@@ -962,33 +1026,74 @@ Tie_formatting_problem::set_ties_config_standard_directions (Ties_configuration
     }
 }
 
-Tie_configuration_variation::Tie_configuration_variation ()
+vector<Tie_configuration_variation>
+Tie_formatting_problem::generate_extremal_tie_variations (Ties_configuration const &ties) const
 {
-  index_ = 0;
-  suggestion_ = 0;
+  vector<Tie_configuration_variation> vars;
+  Direction d = DOWN; 
+  for (int i = 1; i <= details_.multi_tie_region_size_; i++)
+    {
+      Drul_array<Tie_configuration*> configs (0, 0);
+      do
+       {
+         const Tie_configuration &config = boundary (ties, d, 0);
+         if (config.dir_ == d
+             && !boundary (specifications_, d, 0).has_manual_position_)
+           {
+             Tie_configuration_variation var;
+             configs[d] =  get_configuration (config.position_ + d * i, d,
+                                              config.column_ranks_,
+                                              true);
+             var.add_suggestion((d == DOWN) ? 0 : ties.size () - 1,
+                                configs[d]);
+             vars.push_back (var);
+           }
+       }
+      while (flip (&d) !=  DOWN);
+      if (configs[LEFT] && configs[RIGHT])
+       {
+         Tie_configuration_variation var;
+         var.add_suggestion(0, configs[DOWN]);
+         var.add_suggestion(ties.size() - 1, configs[UP]);
+         vars.push_back (var);
+       }
+    }
+
+  return vars;
 }
 
 vector<Tie_configuration_variation>
-Tie_formatting_problem::generate_extremal_tie_variations (Ties_configuration const &ties) const
+Tie_formatting_problem::generate_single_tie_variations (Ties_configuration const &ties) const
 {
   vector<Tie_configuration_variation> vars;
-  Direction d = DOWN;
-  do
+
+  int sz = details_.single_tie_region_size_;
+  if (specifications_[0].has_manual_position_)
+    sz = 1;
+  for (int i = 0; i < sz; i ++)
     {
-      if (boundary (ties, d, 0).dir_ == d
-         && !boundary (specifications_, d, 0).has_manual_position_)
-       for (int i = 1; i <= details_.multi_tie_region_size_; i++)
-         {
-           Tie_configuration_variation var;
-           var.index_ = (d == DOWN) ? 0 : ties.size () - 1;
-           var.suggestion_ = get_configuration (boundary (ties, d, 0).position_
-                                                + d * i, d,
-                                                boundary (ties, d, 0).column_ranks_);
-           vars.push_back (var);
-         }
+      Direction d = LEFT;
+      do
+       {
+         if (i == 0
+             && ties[0].dir_ == d)
+           continue;
+         
+         int p = ties[0].position_ + i * d;
+         
+         if (!specifications_[0].has_manual_dir_
+             || d == specifications_[0].manual_dir_)
+           {
+             Tie_configuration_variation var;
+             var.add_suggestion(0,
+                                get_configuration (p,
+                                                   d, specifications_[0].column_ranks_,
+                                                   !specifications_[0].has_manual_delta_y_));
+             vars.push_back (var);
+           }
+       }
+      while (flip (&d) != LEFT);
     }
-  while (flip (&d) !=  DOWN);
-
   return vars;
 }
 
@@ -1013,13 +1118,14 @@ Tie_formatting_problem::generate_collision_variations (Ties_configuration const
              if (!specifications_[i].has_manual_dir_)
                {
                  Tie_configuration_variation var;
-                 var.index_ = i;
-                 var.suggestion_ = get_configuration (specifications_[i].position_
+                 var.add_suggestion(i,
+                                    get_configuration (specifications_[i].position_
                                                       - ties[i].dir_,
                                                       - ties[i].dir_,
 
-                                                      ties[i].column_ranks_
-                                                      );
+                                                      ties[i].column_ranks_,
+                                                      !specifications_[i].has_manual_delta_y_
+                                                       ));
 
                  vars.push_back (var);
                }
@@ -1027,11 +1133,12 @@ Tie_formatting_problem::generate_collision_variations (Ties_configuration const
              if (!specifications_[i-1].has_manual_dir_)
                {
                  Tie_configuration_variation var;
-                 var.index_ = i-1;
-                 var.suggestion_ = get_configuration (specifications_[i-1].position_
-                                                      - ties[i-1].dir_,
-                                                      - ties[i-1].dir_,
-                                                      specifications_[i-1].column_ranks_);
+                 var.add_suggestion(i-1,
+                                    get_configuration (specifications_[i-1].position_
+                                                       - ties[i-1].dir_,
+                                                       - ties[i-1].dir_,
+                                                       specifications_[i-1].column_ranks_,
+                                                       !specifications_[i-1].has_manual_delta_y_));
 
                  vars.push_back (var);
                }
@@ -1040,19 +1147,23 @@ Tie_formatting_problem::generate_collision_variations (Ties_configuration const
                  && ties[i-1].dir_ == DOWN)
                {
                  Tie_configuration_variation var;
-                 var.index_ = i-1;
-                 var.suggestion_ = get_configuration (specifications_[i-1].position_ - 1, DOWN,
-                                                      specifications_[i-1].column_ranks_);
+                 var.add_suggestion(i-1,
+                                    get_configuration (specifications_[i-1].position_ - 1, DOWN,
+                                                       specifications_[i-1].column_ranks_,
+                                                       !specifications_[i-1].has_manual_delta_y_
+                                                       ));
                  vars.push_back (var);
                }
-             if (i == ties.size() && !specifications_[i].has_manual_position_
+             if (i == ties.size () && !specifications_[i].has_manual_position_
                  && ties[i].dir_ == UP)
                {
                  Tie_configuration_variation var;
-                 var.index_ = i;
-                 var.suggestion_ = get_configuration (specifications_[i].position_
-                                                      + 1, UP,
-                                                      specifications_[i].column_ranks_);
+                 var.add_suggestion(i,
+                                    get_configuration (specifications_[i].position_
+                                                       + 1, UP,
+                                                       specifications_[i].column_ranks_,
+                                                       !specifications_[i].has_manual_delta_y_
+                                                       ));
                  vars.push_back (var);
                }
            }
@@ -1060,10 +1171,12 @@ Tie_formatting_problem::generate_collision_variations (Ties_configuration const
                   && !specifications_[i].has_manual_position_)
            {
              Tie_configuration_variation var;
-             var.index_ = i;
-             var.suggestion_ = get_configuration (ties[i].position_  + ties[i].dir_,
-                                                  ties[i].dir_,
-                                                  ties[i].column_ranks_);
+             var.add_suggestion(i,
+                                get_configuration (ties[i].position_  + ties[i].dir_,
+                                                   ties[i].dir_,
+                                                   ties[i].column_ranks_,
+                                                   !specifications_[i].has_manual_delta_y_
+                                                   ));
              vars.push_back (var);
            }
          
@@ -1092,7 +1205,9 @@ Tie_formatting_problem::set_manual_tie_configuration (SCM manual_configs)
            {
              spec.has_manual_position_ = true;
              spec.manual_position_ = scm_to_double (scm_car (entry));
+             spec.has_manual_delta_y_ = (scm_inexact_p (scm_car (entry)) == SCM_BOOL_T);
            }
+         
          if (scm_is_number (scm_cdr (entry)))
            {
              spec.has_manual_dir_ = true;
@@ -1103,3 +1218,20 @@ Tie_formatting_problem::set_manual_tie_configuration (SCM manual_configs)
     }
 }
 
+
+void
+Tie_formatting_problem::set_debug_scoring (Ties_configuration const &base)
+{
+#if DEBUG_TIE_SCORING
+  if (to_boolean (x_refpoint_->layout ()
+                 ->lookup_variable (ly_symbol2scm ("debug-tie-scoring"))))
+    {
+      for (vsize i = 0; i < base.size (); i++)
+       {
+         string card = base.complete_tie_card (i);
+         specifications_[i].tie_grob_->set_property ("quant-score",
+                                                     ly_string2scm (card));
+       }
+    }
+#endif
+}