lily/tie-formatting-problem.cc

   1 /*
   2   tie-formatting-problem.cc -- implement Tie_formatting_problem
   3
   4   source file of the GNU LilyPond music typesetter
   5
   6   (c) 2005--2007 Han-Wen Nienhuys <hanwen@xs4all.nl>
   7
   8 */
   9
  10 #include "tie-formatting-problem.hh"
  11
  12 #include "axis-group-interface.hh"
  13 #include "paper-column.hh"
  14 #include "bezier.hh"
  15 #include "directional-element-interface.hh"
  16 #include "libc-extension.hh"
  17 #include "misc.hh"
  18 #include "note-head.hh"
  19 #include "rhythmic-head.hh"
  20 #include "spanner.hh"
  21 #include "staff-symbol-referencer.hh"
  22 #include "stem.hh"
  23 #include "tie-configuration.hh"
  24 #include "tie.hh"
  25 #include "warn.hh"
  26 #include "pointer-group-interface.hh"
  27 #include "output-def.hh"
  28
  29 void
  30 Tie_formatting_problem::print_ties_configuration (Ties_configuration const *ties)
  31 {
  32   for (vsize i = 0; i < ties->size (); i++)
  33     {
  34       char const *man_pos = (specifications_[i].has_manual_position_) ? "(M)" : "";
  35       char const *man_dir = (specifications_[i].has_manual_dir_) ? "(M)" : "";
  36       char const *dir = (ties->at (i).dir_ == UP) ? "up" : "dn";
  37
  38       printf ("(P%d%s, %s%s) ", ties->at (i).position_, man_pos, dir, man_dir);
  39     }
  40   printf ("\n");
  41 }
  42
  43 Interval
  44 Tie_formatting_problem::get_attachment (Real y, Drul_array<int> columns) const
  45 {
  46   Interval attachments (0,0);
  47   Direction d = LEFT;
  48   do
  49     {
  50       Tuple2<int> key (columns[d], int (d));
  51       Chord_outline_map::const_iterator i (chord_outlines_.find (key));
  52       if (i == chord_outlines_.end ())
  53         programming_error ("Cannot find chord outline");
  54       else
  55         attachments[d] = i->second.height (y);
  56     }
  57   while (flip (&d) != LEFT);
  58
  59   return attachments;
  60 }
  61
  62 Tie_formatting_problem::Tie_formatting_problem ()
  63 {
  64   x_refpoint_ = 0;
  65   y_refpoint_ = 0;
  66   use_horizontal_spacing_ = true;
  67 }
  68
  69 Tie_formatting_problem::~Tie_formatting_problem ()
  70 {
  71   for (Tie_configuration_map::const_iterator i (possibilities_.begin ());
  72        i != possibilities_.end (); i++)
  73     delete (*i).second;
  74 }
  75
  76 void
  77 Tie_formatting_problem::set_column_chord_outline (vector<Item*> bounds,
  78                                                   Direction dir,
  79                                                   int column_rank)
  80 {
  81   Real staff_space = Staff_symbol_referencer::staff_space (bounds[0]);
  82
  83   vector<Box> boxes;
  84   vector<Box> head_boxes;
  85
  86   Grob *stem = 0;
  87   for (vsize i = 0; i < bounds.size (); i++)
  88     {
  89       Grob *head = bounds[i];
  90       if (!Note_head::has_interface (head))
  91         continue;
  92
  93       if (!stem)
  94         stem = unsmob_grob (head->get_object ("stem"));
  95
  96       Real p = Staff_symbol_referencer::get_position (head);
  97       Interval y ((p-1) * 0.5 * staff_space,
  98                   (p+1) * 0.5 * staff_space);
  99
 100       Interval x = head->extent (x_refpoint_, X_AXIS);
 101       head_boxes.push_back (Box (x, y));
 102       boxes.push_back (Box (x, y));
 103
 104       Grob *dots = Rhythmic_head::get_dots (head);
 105       if (dir == LEFT && dots)
 106         {
 107           Interval x = dots->extent (x_refpoint_, X_AXIS);
 108           int p = int (Staff_symbol_referencer::get_position (dots));
 109
 110           /*
 111             TODO: shouldn't this use column-rank dependent key?
 112           */
 113           dot_positions_.insert (p);
 114           dot_x_.unite (x);
 115
 116           Interval y (dots->extent (dots, Y_AXIS));
 117           y.translate (p * staff_space * 0.5);
 118
 119           boxes.push_back (Box (x, y));
 120         }
 121     }
 122
 123   Tuple2<int> key (column_rank, int (dir));
 124
 125   if (stem)
 126     {
 127       if (Stem::is_normal_stem (stem))
 128         {
 129           Interval x;
 130           x.add_point (stem->relative_coordinate (x_refpoint_, X_AXIS));
 131           x.widen (staff_space / 20); // ugh.
 132           Interval y;
 133
 134           Real stem_end_position = 0.0;
 135           if (Stem::is_cross_staff (stem))
 136             stem_end_position =  get_grob_direction (stem) * infinity_f;
 137           else
 138             {
 139               if (use_horizontal_spacing_ || !Stem::get_beam (stem))
 140                 stem_end_position = Stem::stem_end_position (stem) * staff_space * .5;
 141               else
 142                 stem_end_position = Stem::note_head_positions (stem)[get_grob_direction (stem)]
 143                   * staff_space * .5;
 144             }
 145
 146           y.add_point (stem_end_position);
 147
 148           Direction stemdir = get_grob_direction (stem);
 149           y.add_point (Stem::head_positions (stem)[-stemdir]
 150                        * staff_space * .5);
 151
 152           /*
 153             add extents of stem.
 154           */
 155           boxes.push_back (Box (x, y));
 156
 157           stem_extents_[key].unite (Box (x, y));
 158
 159           if (dir == LEFT)
 160             {
 161               Box flag_box = Stem::get_translated_flag (stem).extent_box ();
 162               flag_box.translate ( Offset (x[RIGHT], X_AXIS));
 163               boxes.push_back (flag_box);
 164             }
 165         }
 166       else
 167         {
 168           Grob *head = Stem::support_head (stem);
 169
 170           /*
 171             In case of invisible stem, don't pass x-center of heads.
 172           */
 173           Real x_center = head->extent (x_refpoint_, X_AXIS).center ();
 174           Interval x_ext;
 175           x_ext[-dir] = x_center;
 176           x_ext[dir] = infinity_f * dir;
 177           Interval y_ext;
 178           for (vsize j = 0; j < head_boxes.size (); j++)
 179             y_ext.unite (head_boxes[j][Y_AXIS]);
 180
 181           boxes.push_back (Box (x_ext, y_ext));
 182         }
 183
 184       extract_grob_set (stem, "note-heads", heads);
 185       for (vsize i = 0; i < heads.size (); i ++)
 186         {
 187           if (find (bounds.begin (), bounds.end (), dynamic_cast<Item*> (heads[i])) ==  bounds.end ())
 188             {
 189               /*
 190                 other untied notes in the same chord.
 191               */
 192
 193               Interval y = Staff_symbol_referencer::extent_in_staff (heads[i]);
 194               Interval x = heads[i]->extent (x_refpoint_, X_AXIS);
 195               boxes.push_back (Box (x, y));
 196             }
 197
 198           Grob *acc = unsmob_grob (heads[i]->get_object ("accidental-grob"));
 199           if (acc)
 200             acc->get_property ("stencil"); /* trigger tie-related suicide */
 201
 202           if (acc && acc->is_live () && dir == RIGHT)
 203             {
 204               boxes.push_back (Box (acc->extent (x_refpoint_, X_AXIS),
 205                                     Staff_symbol_referencer::extent_in_staff (acc)));
 206             }
 207
 208           head_positions_[column_rank].add_point (int (Staff_symbol_referencer::get_position (heads[i])));
 209         }
 210
 211     }
 212
 213   Direction updowndir = DOWN;
 214   do
 215     {
 216       Interval x;
 217       Interval y;
 218       if (head_boxes.size ())
 219         {
 220           Box b = boundary (head_boxes, updowndir, 0);
 221           x = b[X_AXIS];
 222           x[-dir] =  b[X_AXIS].linear_combination (-dir / 2);
 223           y[-updowndir] = b[Y_AXIS][updowndir];
 224           y[updowndir] = updowndir * infinity_f;
 225         }
 226
 227       if (!x.is_empty ())
 228         boxes.push_back (Box (x, y));
 229     }
 230   while (flip (&updowndir) != DOWN);
 231
 232   /* todo: the horizon_padding is somewhat arbitrary */
 233   chord_outlines_[key] = Skyline (boxes, details_.skyline_padding_, Y_AXIS, -dir);
 234   if (bounds[0]->break_status_dir ())
 235     {
 236       Interval iv (Axis_group_interface::staff_extent (bounds[0], x_refpoint_, X_AXIS, y_refpoint_, Y_AXIS));
 237       if (iv.is_empty ())
 238         iv.add_point (bounds[0]->relative_coordinate (x_refpoint_, X_AXIS));
 239
 240       chord_outlines_[key].set_minimum_height (iv[-dir]);
 241     }
 242   else
 243     {
 244       Interval x;
 245       for (vsize j = 0; j < head_boxes.size (); j++)
 246         {
 247           x.unite (head_boxes[j][X_AXIS]);
 248         }
 249
 250       chord_outlines_[key].set_minimum_height (x[dir]);
 251     }
 252
 253   head_extents_[key].set_empty ();
 254   for (vsize i = 0; i < head_boxes.size (); i++)
 255     {
 256       head_extents_[key].unite (head_boxes[i]);
 257     }
 258 }
 259
 260 void
 261 Tie_formatting_problem::set_chord_outline (vector<Item*> bounds,
 262                                            Direction dir)
 263
 264 {
 265   vector<int> ranks;
 266   for (vsize i = 0; i < bounds.size (); i++)
 267     ranks.push_back (bounds[i]->get_column ()->get_rank ());
 268
 269   vector_sort (ranks, less<int> ());
 270   uniq (ranks);
 271
 272   for (vsize i = 0; i < ranks.size (); i++)
 273     {
 274       vector<Item*> col_items;
 275       for (vsize j = 0; j < bounds.size (); j ++)
 276         {
 277           if (bounds[j]->get_column ()->get_rank () == ranks[i])
 278             col_items.push_back (bounds[j]);
 279         }
 280
 281       set_column_chord_outline (col_items, dir, ranks[i]);
 282     }
 283 }
 284
 285
 286
 287 void
 288 Tie_formatting_problem::from_tie (Grob *tie)
 289 {
 290   vector<Grob*> ties;
 291   ties.push_back (tie);
 292   from_ties (ties);
 293
 294   details_.from_grob (tie);
 295 }
 296
 297 Grob *
 298 Tie_formatting_problem::common_x_refpoint () const
 299 {
 300   return x_refpoint_;
 301 }
 302
 303 void
 304 Tie_formatting_problem::from_ties (vector<Grob*> const &ties)
 305 {
 306   if (ties.empty ())
 307     return;
 308
 309   x_refpoint_ = ties[0];
 310   y_refpoint_ = ties[0];
 311   for (vsize i = 0; i < ties.size (); i++)
 312     {
 313       Spanner *tie = dynamic_cast<Spanner*> (ties[i]);
 314       Item *l = tie->get_bound (LEFT);
 315       Item *r = tie->get_bound (RIGHT);
 316
 317       x_refpoint_ = l->common_refpoint (x_refpoint_, X_AXIS);
 318       x_refpoint_ = r->common_refpoint (x_refpoint_, X_AXIS);
 319
 320       if (!l->break_status_dir ())
 321         y_refpoint_ = l->common_refpoint (y_refpoint_, Y_AXIS);
 322       if (!r->break_status_dir ())
 323         y_refpoint_ = r->common_refpoint (y_refpoint_, Y_AXIS);
 324     }
 325
 326   details_.from_grob (ties[0]);
 327
 328   Direction d = LEFT;
 329   do
 330     {
 331       vector<Item*> bounds;
 332
 333       for (vsize i = 0; i < ties.size (); i++)
 334         {
 335           Item *it = dynamic_cast<Spanner*> (ties[i])->get_bound (d);
 336           if (it->break_status_dir ())
 337               it = it->get_column ();
 338
 339           bounds.push_back (it);
 340         }
 341
 342       set_chord_outline (bounds, d);
 343     }
 344   while (flip (&d) != LEFT);
 345
 346
 347   for (vsize i = 0; i < ties.size (); i++)
 348     {
 349       Tie_specification spec;
 350       spec.from_grob (ties[i]);
 351
 352       do
 353         {
 354           spec.note_head_drul_[d] = Tie::head (ties[i], d);
 355           spec.column_ranks_[d] = Tie::get_column_rank (ties[i], d);
 356         }
 357       while (flip (&d) != LEFT);
 358       specifications_.push_back (spec);
 359     }
 360 }
 361
 362 void
 363 Tie_formatting_problem::from_semi_ties (vector<Grob*> const &semi_ties, Direction head_dir)
 364 {
 365   if (semi_ties.empty ())
 366     return;
 367
 368   use_horizontal_spacing_ = false;
 369   details_.from_grob (semi_ties[0]);
 370   vector<Item*> heads;
 371
 372   int column_rank = -1;
 373   for (vsize i = 0; i < semi_ties.size (); i++)
 374     {
 375       Tie_specification spec;
 376       Item *head = unsmob_item (semi_ties[i]->get_object ("note-head"));
 377
 378       if (!head)
 379         programming_error ("LV tie without head?!");
 380
 381       if (head)
 382         {
 383           spec.position_ = int (Staff_symbol_referencer::get_position (head));
 384         }
 385
 386       spec.from_grob (semi_ties[i]);
 387
 388       spec.note_head_drul_[head_dir] = head;
 389       column_rank = Tie::get_column_rank (semi_ties[i], head_dir);
 390       spec.column_ranks_ = Drul_array<int> (column_rank, column_rank);
 391       heads.push_back (head);
 392       specifications_.push_back (spec);
 393     }
 394
 395   x_refpoint_ = semi_ties[0];
 396   y_refpoint_ = semi_ties[0];
 397
 398   for (vsize i = 0; i < semi_ties.size (); i++)
 399     {
 400       x_refpoint_ = semi_ties[i]->common_refpoint (x_refpoint_, X_AXIS);
 401       y_refpoint_ = semi_ties[i]->common_refpoint (y_refpoint_, Y_AXIS);
 402     }
 403   for (vsize i = 0; i < heads.size (); i++)
 404     {
 405       x_refpoint_ = heads[i]->common_refpoint (x_refpoint_, X_AXIS);
 406       y_refpoint_ = heads[i]->common_refpoint (y_refpoint_, Y_AXIS) ;
 407     }
 408
 409   set_chord_outline (heads, head_dir);
 410
 411   Tuple2<int> head_key (column_rank, head_dir);
 412   Tuple2<int> open_key (column_rank, -head_dir);
 413   Real extremal = chord_outlines_[head_key].max_height ();
 414
 415   chord_outlines_[open_key] = Skyline (head_dir);
 416   chord_outlines_[open_key].set_minimum_height (extremal - head_dir * 1.5);
 417 }
 418
 419
 420 Tie_specification
 421 Tie_formatting_problem::get_tie_specification (int i) const
 422 {
 423   return specifications_[i];
 424 }
 425
 426
 427 /*
 428   Return configuration, create it if necessary.
 429 */
 430 Tie_configuration*
 431 Tie_formatting_problem::get_configuration (int pos, Direction dir, Drul_array<int> columns,
 432                                            bool tune_dy) const
 433 {
 434   int key_components[] = {
 435     pos, dir, columns[LEFT], columns[RIGHT]
 436   };
 437   Tuple<int,4> key (key_components);
 438
 439   Tie_configuration_map::const_iterator f = possibilities_.find (key);
 440   if (f != possibilities_.end ())
 441     {
 442       return (*f).second;
 443     }
 444
 445
 446   Tie_configuration *conf = generate_configuration (pos, dir, columns, tune_dy);
 447   ((Tie_formatting_problem*) this)->possibilities_[key] = conf;
 448   return conf;
 449 }
 450
 451 Tie_configuration*
 452 Tie_formatting_problem::generate_configuration (int pos, Direction dir,
 453                                                 Drul_array<int> columns, bool y_tune) const
 454 {
 455   Tie_configuration *conf = new Tie_configuration;
 456   conf->position_ = pos;
 457   conf->dir_ = dir;
 458
 459   conf->column_ranks_ = columns;
 460
 461   Real y = conf->position_ * 0.5 * details_.staff_space_;
 462
 463   if (dot_positions_.find (pos) != dot_positions_.end ())
 464     {
 465       conf->delta_y_ += dir * 0.25 * details_.staff_space_;
 466       y_tune = false;
 467     }
 468
 469   if (y_tune
 470       && max (fabs (get_head_extent (columns[LEFT], LEFT, Y_AXIS)[dir] - y),
 471               fabs (get_head_extent (columns[RIGHT], RIGHT, Y_AXIS)[dir] - y)) < 0.25
 472       && !Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_, pos))
 473     {
 474       conf->delta_y_ =
 475         (get_head_extent (columns[LEFT], LEFT, Y_AXIS)[dir] - y)
 476         + dir * details_.outer_tie_vertical_gap_;
 477     }
 478
 479   if (y_tune)
 480     {
 481       conf->attachment_x_ = get_attachment (y + conf->delta_y_, conf->column_ranks_);
 482       Real h =  conf->height (details_);
 483
 484       /*
 485         TODO:
 486
 487         - should make sliding criterion, should flatten ties if
 488
 489         - they're just the wrong (ie. touching line at top & bottom)
 490         size.
 491
 492        */
 493       if (head_positions_slice (columns[LEFT]).contains (pos)
 494           || head_positions_slice (columns[RIGHT]).contains (pos)
 495           || abs (pos) < 2 * Staff_symbol_referencer::staff_radius (details_.staff_symbol_referencer_))
 496         {
 497           if (h < details_.intra_space_threshold_ * 0.5 * details_.staff_space_)
 498             {
 499               if (!Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_, pos)
 500                   && abs (pos) < 2 * Staff_symbol_referencer::staff_radius (details_.staff_symbol_referencer_))
 501                 {
 502                   conf->center_tie_vertically (details_);
 503                 }
 504               else if (Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_, pos))
 505                 {
 506                   conf->delta_y_ += dir *
 507                     details_.tip_staff_line_clearance_ * 0.5 *  details_.staff_space_;
 508                 }
 509             }
 510           else
 511             {
 512               Real top_y = y + conf->delta_y_ + conf->dir_ * h;
 513               Real top_pos = top_y / (0.5*details_.staff_space_);
 514               int round_pos = int (my_round (top_pos));
 515
 516               /* TODO: should use other variable? */
 517               Real clearance = details_.center_staff_line_clearance_;
 518               if (fabs (top_pos - round_pos) < clearance
 519                   && Staff_symbol_referencer::on_staff_line (details_.staff_symbol_referencer_,
 520                                                              round_pos))
 521                 {
 522                   Real new_y = (round_pos + clearance * conf->dir_) * 0.5 * details_.staff_space_;
 523                   conf->delta_y_ = (new_y - top_y);
 524                 }
 525             }
 526         }
 527     }
 528   conf->attachment_x_ = get_attachment (y + conf->delta_y_, conf->column_ranks_);
 529   if (conf->height (details_) < details_.intra_space_threshold_ * 0.5 * details_.staff_space_)
 530     {
 531       /*
 532         This is less sensible for long ties, since those are more
 533         horizontal.
 534       */
 535       Interval close_by = get_attachment (y
 536                                           + conf->delta_y_
 537                                           + (dir * details_.intra_space_threshold_ * 0.25
 538                                              * details_.staff_space_),
 539                                           conf->column_ranks_);
 540
 541       conf->attachment_x_.intersect (close_by);
 542     }
 543
 544   conf->attachment_x_.widen ( - details_.x_gap_);
 545
 546   if (conf->column_span_length ())
 547     {
 548       /*
 549         avoid the stems that we attach to as well. We don't do this
 550         for semities (span length = 0)
 551
 552         It would be better to check D against HEAD-DIRECTION if
 553         applicable.
 554       */
 555       Direction d = LEFT;
 556       do
 557         {
 558           Real y = conf->position_ * details_.staff_space_ * 0.5 + conf->delta_y_;
 559           if (get_stem_extent (conf->column_ranks_[d], d, X_AXIS).is_empty ()
 560               || !get_stem_extent (conf->column_ranks_[d], d, Y_AXIS).contains (y))
 561             continue;
 562
 563           conf->attachment_x_[d] =
 564             d * min (d * conf->attachment_x_[d],
 565                      d * (get_stem_extent (conf->column_ranks_[d], d, X_AXIS)[-d] - d * details_.stem_gap_));
 566         }
 567       while (flip (&d) != LEFT);
 568     }
 569   return conf;
 570 }
 571
 572 Interval
 573 Tie_formatting_problem::get_head_extent (int col, Direction d, Axis a) const
 574 {
 575   Column_extent_map::const_iterator i = head_extents_.find (Tuple2<int> (col, int (d)));
 576   if (i != head_extents_.end ())
 577     return (*i).second[a];
 578   else
 579     return Interval ();
 580 }
 581
 582 Interval
 583 Tie_formatting_problem::get_stem_extent (int col, Direction d, Axis a) const
 584 {
 585   Column_extent_map::const_iterator i = stem_extents_.find (Tuple2<int> (col, int (d)));
 586   if (i != stem_extents_.end ())
 587     return (*i).second[a];
 588   else
 589     return Interval ();
 590 }
 591
 592 /**
 593    TIE_IDX and TIES_CONF are optional.
 594  */
 595 Real
 596 Tie_formatting_problem::score_aptitude (Tie_configuration *conf,
 597                                         Tie_specification const &spec,
 598                                         Ties_configuration *ties_conf, int tie_idx) const
 599 {
 600   Real penalty = 0.0;
 601   Real curve_y = conf->position_ * details_.staff_space_ * 0.5 + conf->delta_y_;
 602   Real tie_y = spec.position_ * details_.staff_space_ * 0.5;
 603   if (sign (curve_y - tie_y) != conf->dir_)
 604     {
 605       Real p =  details_.wrong_direction_offset_penalty_;
 606       if (ties_conf)
 607         ties_conf->add_tie_score (p, tie_idx, "wrong dir");
 608       else
 609         penalty += p;
 610     }
 611
 612   {
 613     Real relevant_dist = max (fabs (curve_y - tie_y) - 0.5, 0.0);
 614     Real p = details_.vertical_distance_penalty_factor_ * convex_amplifier (1.0, 0.9, relevant_dist);
 615     if (ties_conf)
 616       ties_conf->add_tie_score (p, tie_idx, "vdist");
 617     else
 618       penalty += p;
 619   }
 620
 621   Direction d = LEFT;
 622   do
 623     {
 624       if (!spec.note_head_drul_[d])
 625         continue;
 626
 627       Interval head_x = spec.note_head_drul_[d]->extent (x_refpoint_, X_AXIS);
 628       Real dist = head_x.distance (conf->attachment_x_[d]);
 629
 630
 631       /*
 632         TODO: flatten with log or sqrt.
 633        */
 634       Real p = details_.horizontal_distance_penalty_factor_
 635         * convex_amplifier (1.25, 1.0, dist);
 636       if (ties_conf)
 637         ties_conf->add_tie_score (p, tie_idx,
 638                                   (d == LEFT) ? "lhdist" : "rhdist");
 639       else
 640         penalty += p;
 641
 642     }
 643   while (flip (&d) != LEFT);
 644
 645   if (ties_conf
 646       && ties_conf->size () == 1)
 647     {
 648       Direction d = LEFT;
 649       Drul_array<Grob*> stems (0, 0);
 650       do
 651         {
 652           if (!spec.note_head_drul_[d])
 653             continue;
 654
 655           Grob *stem = unsmob_grob (spec.note_head_drul_[d]->get_object ("stem"));
 656           if (stem
 657               && Stem::is_normal_stem (stem))
 658             stems[d] = stem;
 659         }
 660       while (flip (&d) != LEFT);
 661
 662       bool tie_stem_dir_ok = true;
 663       bool tie_position_dir_ok = true;
 664       if (stems[LEFT] && !stems[RIGHT])
 665         tie_stem_dir_ok = conf->dir_ != get_grob_direction (stems[LEFT]);
 666       else if (!stems[LEFT] && stems[RIGHT])
 667         tie_stem_dir_ok = conf->dir_ != get_grob_direction (stems[RIGHT]);
 668       else if (stems[LEFT] && stems[RIGHT]
 669           && get_grob_direction (stems[LEFT]) == get_grob_direction (stems[RIGHT]))
 670         tie_stem_dir_ok = conf->dir_ != get_grob_direction (stems[LEFT]);
 671       else if (spec.position_)
 672         tie_position_dir_ok = conf->dir_ == sign (spec.position_);
 673
 674       if (!tie_stem_dir_ok)
 675         ties_conf->add_score (details_.same_dir_as_stem_penalty_, "tie/stem dir");
 676       if (!tie_position_dir_ok)
 677         ties_conf->add_score (details_.same_dir_as_stem_penalty_, "tie/pos dir");
 678     }
 679
 680   return penalty;
 681 }
 682
 683
 684 Slice
 685 Tie_formatting_problem::head_positions_slice (int rank) const
 686 {
 687   Position_extent_map::const_iterator i (head_positions_.find (rank));
 688   if (i != head_positions_.end ())
 689     {
 690       return  (*i).second;
 691     }
 692   Slice empty;
 693   return empty;
 694 }
 695
 696 /*
 697   Score a configuration, ie. how well these ties looks without regard
 698   to the note heads that they should connect to.
 699  */
 700 void
 701 Tie_formatting_problem::score_configuration (Tie_configuration *conf) const
 702 {
 703   if (conf->scored_)
 704     {
 705       return ;
 706     }
 707
 708   Real length = conf->attachment_x_.length ();
 709
 710   Real length_penalty
 711     = peak_around (0.33 * details_.min_length_, details_.min_length_, length);
 712   conf->add_score (details_.min_length_penalty_factor_
 713                    * length_penalty, "minlength");
 714
 715   Real tip_pos = conf->position_ + conf->delta_y_ / 0.5 * details_.staff_space_;
 716   Real tip_y = tip_pos * details_.staff_space_ * 0.5;
 717   Real height =  conf->height (details_);
 718
 719   Real top_y = tip_y + conf->dir_ * height;
 720   Real top_pos = 2 * top_y / details_.staff_space_;
 721   Real round_top_pos = rint (top_pos);
 722   if (Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_,
 723                                                 int (round_top_pos))
 724       && Staff_symbol_referencer::staff_radius (details_.staff_symbol_referencer_) > top_y)
 725     {
 726       conf->add_score (
 727         details_.staff_line_collision_penalty_
 728         * peak_around (0.1 * details_.center_staff_line_clearance_,
 729                        details_.center_staff_line_clearance_,
 730                        fabs (top_pos - round_top_pos)),
 731         "line center");
 732     }
 733
 734   int rounded_tip_pos = int (rint (tip_pos));
 735   if (Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_, rounded_tip_pos)
 736       && (head_positions_slice (conf->column_ranks_[LEFT]).contains (rounded_tip_pos)
 737           || head_positions_slice (conf->column_ranks_[RIGHT]).contains (rounded_tip_pos)
 738           || abs (rounded_tip_pos) < 2 * Staff_symbol_referencer::staff_radius (details_.staff_symbol_referencer_))
 739           )
 740     {
 741       conf->add_score (details_.staff_line_collision_penalty_
 742                        * peak_around (0.1 * details_.tip_staff_line_clearance_,
 743                                       details_.tip_staff_line_clearance_,
 744                                       fabs (tip_pos - rint (tip_pos))),
 745                        "tipline");
 746     }
 747
 748   if (!dot_x_.is_empty ())
 749     {
 750       /* use left edge? */
 751       Real x = dot_x_.center ();
 752
 753       Bezier b = conf->get_transformed_bezier (details_);
 754       if (b.control_point_extent (X_AXIS).contains (x))
 755         {
 756           Real y = b.get_other_coordinate (X_AXIS, x);
 757
 758           for (set<int>::const_iterator i (dot_positions_.begin ());
 759                i != dot_positions_.end (); i ++)
 760             {
 761               int dot_pos = (*i);
 762               conf->add_score (details_.dot_collision_penalty_
 763                 * peak_around (.1 * details_.dot_collision_clearance_,
 764                                details_.dot_collision_clearance_,
 765                                fabs (dot_pos * details_.staff_space_ * 0.5 - y)),
 766                                "dot collision");
 767             }
 768         }
 769     }
 770
 771   conf->scored_ = true;
 772 }
 773
 774 void
 775 Tie_formatting_problem::score_ties_aptitude (Ties_configuration *ties) const
 776 {
 777   if  (ties->size () != specifications_.size ())
 778     {
 779       programming_error ("Huh? Mismatch between sizes.");
 780       return;
 781     }
 782
 783   for (vsize i = 0; i < ties->size (); i++)
 784     score_aptitude (&ties->at (i), specifications_[i],
 785                     ties, i);
 786 }
 787
 788 void
 789 Tie_formatting_problem::score_ties (Ties_configuration *ties) const
 790 {
 791   if (ties->scored_)
 792     return;
 793
 794   score_ties_configuration (ties);
 795   score_ties_aptitude (ties);
 796   ties->scored_ = true;
 797 }
 798
 799 void
 800 Tie_formatting_problem::score_ties_configuration (Ties_configuration *ties) const
 801 {
 802   for (vsize i = 0; i < ties->size (); i++)
 803     {
 804       score_configuration (&ties->at (i));
 805       ties->add_tie_score (ties->at (i).score (), i, "conf");
 806     }
 807
 808   Real last_edge = 0.0;
 809   Real last_center = 0.0;
 810   for (vsize i = 0; i < ties->size (); i++)
 811     {
 812       Bezier b (ties->at (i).get_transformed_bezier (details_));
 813
 814       Real center = b.curve_point (0.5)[Y_AXIS];
 815       Real edge = b.curve_point (0.0)[Y_AXIS];
 816
 817       if (i)
 818         {
 819           if (edge <= last_edge)
 820             ties->add_score (details_.tie_column_monotonicity_penalty_, "monoton edge");
 821           if (center <= last_center)
 822             ties->add_score (details_.tie_column_monotonicity_penalty_, "monoton cent");
 823
 824           ties->add_score (details_.tie_tie_collision_penalty_ *
 825                            peak_around (0.1 * details_.tie_tie_collision_distance_,
 826                                         details_.tie_tie_collision_distance_,
 827                                         fabs (center - last_center)),
 828                            "tietie center");
 829           ties->add_score (details_.tie_tie_collision_penalty_ *
 830                            peak_around (0.1 * details_.tie_tie_collision_distance_,
 831                                         details_.tie_tie_collision_distance_,
 832                                         fabs (edge - last_edge)), "tietie edge");
 833         }
 834
 835       last_edge = edge;
 836       last_center = center;
 837     }
 838
 839   if (ties->size () > 1)
 840     {
 841       ties->add_score (details_.outer_tie_length_symmetry_penalty_factor_
 842                        * fabs (ties->at (0).attachment_x_.length () - ties->back ().attachment_x_.length ()),
 843                        "length symm");
 844
 845       ties->add_score (details_.outer_tie_vertical_distance_symmetry_penalty_factor_
 846                        * fabs (fabs (specifications_[0].position_ * 0.5 * details_.staff_space_
 847                                      - (ties->at (0).position_ * 0.5 * details_.staff_space_
 848                                         + ties->at (0).delta_y_))
 849                                -
 850                                fabs (specifications_.back ().position_ * 0.5 * details_.staff_space_
 851                                      - (ties->back ().position_ * 0.5 * details_.staff_space_
 852                                         + ties->back ().delta_y_))),
 853                        "pos symmetry");
 854     }
 855 }
 856
 857 /*
 858   Generate with correct X-attachments and beziers, copying delta_y_
 859   from TIES_CONFIG if necessary.
 860 */
 861 Ties_configuration
 862 Tie_formatting_problem::generate_ties_configuration (Ties_configuration const &ties_config)
 863 {
 864   Ties_configuration copy;
 865   for (vsize i = 0; i < ties_config.size (); i++)
 866     {
 867       Tie_configuration * ptr = get_configuration (ties_config[i].position_, ties_config[i].dir_,
 868                                                    ties_config[i].column_ranks_,
 869                                                    !specifications_[i].has_manual_delta_y_);
 870       if (specifications_[i].has_manual_delta_y_)
 871         {
 872           ptr->delta_y_
 873             = (specifications_[i].manual_position_ - ties_config[i].position_)
 874             * 0.5 * details_.staff_space_;
 875         }
 876       copy.push_back (*ptr);
 877     }
 878
 879   return copy;
 880 }
 881
 882 Ties_configuration
 883 Tie_formatting_problem::generate_base_chord_configuration ()
 884 {
 885   Ties_configuration ties_config;
 886   for (vsize i = 0;  i < specifications_.size (); i ++)
 887     {
 888       Tie_configuration conf;
 889       if (specifications_[i].has_manual_dir_)
 890         conf.dir_ = specifications_[i].manual_dir_;
 891       if (specifications_[i].has_manual_position_)
 892         {
 893           conf.position_ = (int) my_round (specifications_[i].manual_position_);
 894           if (specifications_[i].has_manual_delta_y_)
 895             conf.delta_y_ = (specifications_[i].manual_position_ - conf.position_)
 896               * 0.5 * details_.staff_space_;
 897         }
 898       else
 899         {
 900           conf.position_ = specifications_[i].position_;
 901         }
 902
 903       conf.column_ranks_ = specifications_[i].column_ranks_;
 904       ties_config.push_back (conf);
 905     }
 906
 907   set_ties_config_standard_directions (&ties_config);
 908   for (vsize i = 0; i < ties_config.size (); i++)
 909     if (!specifications_[i].manual_position_)
 910       ties_config[i].position_ += ties_config[i].dir_;
 911
 912   ties_config = generate_ties_configuration (ties_config);
 913
 914   return ties_config;
 915 }
 916
 917 Ties_configuration
 918 Tie_formatting_problem::find_best_variation (Ties_configuration const &base,
 919                                              vector<Tie_configuration_variation> const &vars)
 920 {
 921   Ties_configuration best = base;
 922
 923   /*
 924     This simply is 1-opt: we have K substitions, and we try applying
 925     exactly every one for each.
 926   */
 927   for (vsize i = 0; i < vars.size (); i++)
 928     {
 929       Ties_configuration variant (base);
 930       for (vsize j = 0; j < vars[i].index_suggestion_pairs_.size(); j++)
 931         variant[vars[i].index_suggestion_pairs_[j].first] = *vars[i].index_suggestion_pairs_[j].second;
 932
 933       variant.reset_score ();
 934       score_ties (&variant);
 935
 936       if (variant.score () < best.score ())
 937         {
 938           best = variant;
 939         }
 940     }
 941
 942   return best;
 943 }
 944
 945
 946
 947 Ties_configuration
 948 Tie_formatting_problem::generate_optimal_configuration ()
 949 {
 950   Ties_configuration base = generate_base_chord_configuration ();
 951   score_ties (&base);
 952
 953   vector<Tie_configuration_variation> vars;
 954   if (specifications_.size () > 1)
 955     vars = generate_collision_variations (base);
 956   else
 957     vars = generate_single_tie_variations (base);
 958
 959   Ties_configuration best = find_best_variation (base, vars);
 960
 961   if (specifications_.size () > 1)
 962     {
 963       vars = generate_extremal_tie_variations (best);
 964       best = find_best_variation (best, vars);
 965     }
 966   return best;
 967 }
 968
 969 void
 970 Tie_formatting_problem::set_ties_config_standard_directions (Ties_configuration *tie_configs)
 971 {
 972   if (tie_configs->empty ())
 973     return ;
 974
 975   if (!tie_configs->at (0).dir_)
 976     {
 977       if (tie_configs->size () == 1)
 978         tie_configs->at (0).dir_ = Direction (sign (tie_configs->at (0).position_));
 979
 980       if (!tie_configs->at (0).dir_)
 981         tie_configs->at (0).dir_
 982           = (tie_configs->size() > 1) ? DOWN : details_.neutral_direction_;
 983     }
 984
 985   if (!tie_configs->back ().dir_)
 986     tie_configs->back ().dir_ = UP;
 987
 988   /*
 989     Seconds
 990    */
 991   for (vsize i = 1; i < tie_configs->size (); i++)
 992     {
 993       Real diff = (tie_configs->at (i).position_
 994                    -tie_configs->at (i-1).position_);
 995
 996       Real span_diff
 997         = specifications_[i].column_span () - specifications_[i-1].column_span ();
 998       if (span_diff && fabs (diff) <= 2)
 999         {
1000           if  (span_diff > 0)
1001             tie_configs->at (i).dir_ = UP;
1002           else if (span_diff < 0)
1003             tie_configs->at (i-1).dir_ = DOWN;
1004         }
1005       else if (fabs (diff) <= 1)
1006         {
1007           if (!tie_configs->at (i-1).dir_)
1008             tie_configs->at (i-1).dir_ = DOWN;
1009           if (!tie_configs->at (i).dir_)
1010             tie_configs->at (i).dir_ = UP;
1011         }
1012     }
1013
1014   for (vsize i = 1; i + 1 < tie_configs->size (); i++)
1015     {
1016       Tie_configuration &conf = tie_configs->at (i);
1017       if (conf.dir_)
1018         continue;
1019
1020       Direction position_dir =
1021         Direction (sign (conf.position_));
1022       if (!position_dir)
1023         position_dir = DOWN;
1024
1025       conf.dir_ = position_dir;
1026     }
1027 }
1028
1029 vector<Tie_configuration_variation>
1030 Tie_formatting_problem::generate_extremal_tie_variations (Ties_configuration const &ties) const
1031 {
1032   vector<Tie_configuration_variation> vars;
1033   Direction d = DOWN;
1034   for (int i = 1; i <= details_.multi_tie_region_size_; i++)
1035     {
1036       Drul_array<Tie_configuration*> configs (0, 0);
1037       do
1038         {
1039           const Tie_configuration &config = boundary (ties, d, 0);
1040           if (config.dir_ == d
1041               && !boundary (specifications_, d, 0).has_manual_position_)
1042             {
1043               Tie_configuration_variation var;
1044               configs[d] =  get_configuration (config.position_ + d * i, d,
1045                                                config.column_ranks_,
1046                                                true);
1047               var.add_suggestion((d == DOWN) ? 0 : ties.size () - 1,
1048                                  configs[d]);
1049               vars.push_back (var);
1050             }
1051         }
1052       while (flip (&d) !=  DOWN);
1053       if (configs[LEFT] && configs[RIGHT])
1054         {
1055           Tie_configuration_variation var;
1056           var.add_suggestion(0, configs[DOWN]);
1057           var.add_suggestion(ties.size() - 1, configs[UP]);
1058           vars.push_back (var);
1059         }
1060     }
1061
1062   return vars;
1063 }
1064
1065 vector<Tie_configuration_variation>
1066 Tie_formatting_problem::generate_single_tie_variations (Ties_configuration const &ties) const
1067 {
1068   vector<Tie_configuration_variation> vars;
1069
1070   int sz = details_.single_tie_region_size_;
1071   if (specifications_[0].has_manual_position_)
1072     sz = 1;
1073   for (int i = 0; i < sz; i ++)
1074     {
1075       Direction d = LEFT;
1076       do
1077         {
1078           if (i == 0
1079               && ties[0].dir_ == d)
1080             continue;
1081
1082           int p = ties[0].position_ + i * d;
1083
1084           if (!specifications_[0].has_manual_dir_
1085               || d == specifications_[0].manual_dir_)
1086             {
1087               Tie_configuration_variation var;
1088               var.add_suggestion(0,
1089                                  get_configuration (p,
1090                                                     d, specifications_[0].column_ranks_,
1091                                                     !specifications_[0].has_manual_delta_y_));
1092               vars.push_back (var);
1093             }
1094         }
1095       while (flip (&d) != LEFT);
1096     }
1097   return vars;
1098 }
1099
1100
1101 vector<Tie_configuration_variation>
1102 Tie_formatting_problem::generate_collision_variations (Ties_configuration const &ties) const
1103 {
1104   Real center_distance_tolerance = 0.25;
1105
1106   vector<Tie_configuration_variation> vars;
1107   Real last_center = 0.0;
1108   for (vsize i = 0; i < ties.size (); i++)
1109     {
1110       Bezier b (ties[i].get_transformed_bezier (details_));
1111
1112       Real center = b.curve_point (0.5)[Y_AXIS];
1113
1114       if (i)
1115         {
1116           if (center <= last_center + center_distance_tolerance)
1117             {
1118               if (!specifications_[i].has_manual_dir_)
1119                 {
1120                   Tie_configuration_variation var;
1121                   var.add_suggestion(i,
1122                                      get_configuration (specifications_[i].position_
1123                                                        - ties[i].dir_,
1124                                                        - ties[i].dir_,
1125
1126                                                        ties[i].column_ranks_,
1127                                                        !specifications_[i].has_manual_delta_y_
1128                                                         ));
1129
1130                   vars.push_back (var);
1131                 }
1132
1133               if (!specifications_[i-1].has_manual_dir_)
1134                 {
1135                   Tie_configuration_variation var;
1136                   var.add_suggestion(i-1,
1137                                      get_configuration (specifications_[i-1].position_
1138                                                         - ties[i-1].dir_,
1139                                                         - ties[i-1].dir_,
1140                                                         specifications_[i-1].column_ranks_,
1141                                                         !specifications_[i-1].has_manual_delta_y_));
1142
1143                   vars.push_back (var);
1144                 }
1145
1146               if (i == 1 && !specifications_[i-1].has_manual_position_
1147                   && ties[i-1].dir_ == DOWN)
1148                 {
1149                   Tie_configuration_variation var;
1150                   var.add_suggestion(i-1,
1151                                      get_configuration (specifications_[i-1].position_ - 1, DOWN,
1152                                                         specifications_[i-1].column_ranks_,
1153                                                         !specifications_[i-1].has_manual_delta_y_
1154                                                         ));
1155                   vars.push_back (var);
1156                 }
1157               if (i == ties.size () && !specifications_[i].has_manual_position_
1158                   && ties[i].dir_ == UP)
1159                 {
1160                   Tie_configuration_variation var;
1161                   var.add_suggestion(i,
1162                                      get_configuration (specifications_[i].position_
1163                                                         + 1, UP,
1164                                                         specifications_[i].column_ranks_,
1165                                                         !specifications_[i].has_manual_delta_y_
1166                                                         ));
1167                   vars.push_back (var);
1168                 }
1169             }
1170           else if (dot_positions_.find (ties[i].position_) != dot_positions_.end ()
1171                    && !specifications_[i].has_manual_position_)
1172             {
1173               Tie_configuration_variation var;
1174               var.add_suggestion(i,
1175                                  get_configuration (ties[i].position_  + ties[i].dir_,
1176                                                     ties[i].dir_,
1177                                                     ties[i].column_ranks_,
1178                                                     !specifications_[i].has_manual_delta_y_
1179                                                     ));
1180               vars.push_back (var);
1181             }
1182
1183         }
1184
1185       last_center = center;
1186     }
1187
1188
1189   return vars;
1190 }
1191
1192 void
1193 Tie_formatting_problem::set_manual_tie_configuration (SCM manual_configs)
1194 {
1195   vsize k = 0;
1196   for (SCM s = manual_configs;
1197        scm_is_pair (s) && k < specifications_.size (); s = scm_cdr (s))
1198     {
1199       SCM entry = scm_car (s);
1200       if (scm_is_pair (entry))
1201         {
1202           Tie_specification &spec = specifications_[k];
1203
1204           if (scm_is_number (scm_car (entry)))
1205             {
1206               spec.has_manual_position_ = true;
1207               spec.manual_position_ = scm_to_double (scm_car (entry));
1208               spec.has_manual_delta_y_ = (scm_inexact_p (scm_car (entry)) == SCM_BOOL_T);
1209             }
1210
1211           if (scm_is_number (scm_cdr (entry)))
1212             {
1213               spec.has_manual_dir_ = true;
1214               spec.manual_dir_ = Direction (scm_to_int (scm_cdr (entry)));
1215             }
1216         }
1217       k ++;
1218     }
1219 }
1220
1221
1222 void
1223 Tie_formatting_problem::set_debug_scoring (Ties_configuration const &base)
1224 {
1225 #if DEBUG_TIE_SCORING
1226   if (to_boolean (x_refpoint_->layout ()
1227                   ->lookup_variable (ly_symbol2scm ("debug-tie-scoring"))))
1228     {
1229       for (vsize i = 0; i < base.size (); i++)
1230         {
1231           string card = base.complete_tie_card (i);
1232           specifications_[i].tie_grob_->set_property ("quant-score",
1233                                                       ly_string2scm (card));
1234         }
1235     }
1236 #endif
1237 }