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--2006 Han-Wen Nienhuys <hanwen@xs4all.nl>
   7
   8 */
   9
  10 #include "tie-formatting-problem.hh"
  11
  12 #include "bezier.hh"
  13 #include "directional-element-interface.hh"
  14 #include "item.hh"
  15 #include "libc-extension.hh"
  16 #include "misc.hh"
  17 #include "note-head.hh"
  18 #include "rhythmic-head.hh"
  19 #include "spanner.hh"
  20 #include "staff-symbol-referencer.hh"
  21 #include "stem.hh"
  22 #include "tie-configuration.hh"
  23 #include "tie.hh"
  24 #include "warn.hh"
  25
  26
  27 void
  28 Tie_formatting_problem::print_ties_configuration (Ties_configuration const *ties)
  29 {
  30   for (vsize i = 0; i < ties->size (); i++)
  31     {
  32       char const *man_pos = (specifications_[i].has_manual_position_) ? "(M)" : "";
  33       char const *man_dir = (specifications_[i].has_manual_dir_) ? "(M)" : "";
  34       char const *dir = (ties->at (i).dir_ == UP) ? "up" : "dn";
  35
  36       printf ("(P%d%s, %s%s) ", ties->at (i).position_, man_pos, dir, man_dir);
  37     }
  38   printf ("\n");
  39 }
  40
  41 Interval
  42 Tie_formatting_problem::get_attachment (Real y) const
  43 {
  44   Interval attachments;
  45   Direction d = LEFT;
  46   do
  47     {
  48       attachments[d] = skyline_height (chord_outlines_[d], y, -d);
  49     }
  50   while (flip (&d) != LEFT);
  51
  52   return attachments;
  53 }
  54
  55 Tie_formatting_problem::Tie_formatting_problem()
  56 {
  57   x_refpoint_ = 0;
  58 }
  59
  60 Tie_formatting_problem::~Tie_formatting_problem ()
  61 {
  62   for (Tie_configuration_map::const_iterator i (possibilities_.begin ());
  63        i != possibilities_.end (); i++)
  64     delete (*i).second;
  65 }
  66
  67 void
  68 Tie_formatting_problem::set_chord_outline (vector<Item*> bounds,
  69                                            Direction dir)
  70 {
  71   Real staff_space = Staff_symbol_referencer::staff_space (bounds[0]);
  72
  73   vector<Box> boxes;
  74   vector<Box> head_boxes;
  75
  76   Grob *stem = 0;
  77   for (vsize i = 0; i < bounds.size (); i++)
  78     {
  79       Grob *head = bounds[i];
  80       if (!Note_head::has_interface (head))
  81         continue;
  82
  83       if (!stem)
  84         stem = unsmob_grob (head->get_object ("stem"));
  85
  86       Real p = Staff_symbol_referencer::get_position (head);
  87       Interval y ((p-1) * 0.5 * staff_space,
  88                   (p+1) * 0.5 * staff_space);
  89
  90       Interval x = head->extent (x_refpoint_, X_AXIS);
  91       head_boxes.push_back (Box (x, y));
  92       boxes.push_back (Box (x, y));
  93
  94       Grob *dots = Rhythmic_head::get_dots (head);
  95       if (dir == LEFT && dots)
  96         {
  97           Interval x = dots->extent (x_refpoint_, X_AXIS);
  98           int p = int (Staff_symbol_referencer::get_position (dots));
  99
 100           dot_positions_.insert (p);
 101           dot_x_.unite (x);
 102
 103           Interval y (dots->extent (dots, Y_AXIS));
 104           y.translate (p * staff_space * 0.5);
 105
 106           boxes.push_back (Box (x, y));
 107         }
 108     }
 109
 110   chord_outlines_[dir] = empty_skyline (-dir);
 111   if (bounds[0]->break_status_dir ())
 112     {
 113       Real x = robust_relative_extent (bounds[0],  x_refpoint_, X_AXIS)[-dir];
 114       chord_outlines_[dir].at (0).height_ = x;
 115     }
 116   else
 117     {
 118       Interval x;
 119       for (vsize i = 0; i < head_boxes.size (); i++)
 120         {
 121           x.unite (head_boxes[i][X_AXIS]);
 122         }
 123
 124       chord_outlines_[dir].at (0).height_ = x[dir];
 125     }
 126
 127   for (vsize i = 0; i < boxes.size (); i++)
 128     insert_extent_into_skyline (&chord_outlines_[dir]  ,
 129                                 boxes[i], Y_AXIS, -dir);
 130
 131   if (stem
 132       && !Stem::is_invisible (stem))
 133     {
 134       Interval x;
 135       x.add_point (stem->relative_coordinate (x_refpoint_, X_AXIS));
 136       x.widen (staff_space / 20); // ugh.
 137       Interval y;
 138       y.add_point (Stem::stem_end_position (stem) * staff_space * .5);
 139
 140       Direction stemdir = get_grob_direction (stem);
 141       y.add_point (Stem::head_positions (stem)[-stemdir]
 142                    * staff_space * .5);
 143
 144       insert_extent_into_skyline (&chord_outlines_[dir], Box (x,y), Y_AXIS, -dir);
 145
 146       stem_extents_[dir].unite (Box (x,y));
 147
 148       if (dir == LEFT)
 149         {
 150           Box flag_box = Stem::get_translated_flag (stem).extent_box ();
 151           flag_box.translate( Offset (x[RIGHT], X_AXIS));
 152           insert_extent_into_skyline (&chord_outlines_[dir], flag_box,
 153                                       Y_AXIS, -dir);
 154         }
 155     }
 156
 157   Direction updowndir = DOWN;
 158   do
 159     {
 160       Interval x;
 161       Interval y;
 162       if (head_boxes.size())
 163         {
 164           Box b = boundary (head_boxes, updowndir, 0);
 165           x = b[X_AXIS];
 166           x[-dir] =  b[X_AXIS].linear_combination (-dir / 2);
 167           y[-updowndir] = b[Y_AXIS][updowndir];
 168           y[updowndir] = updowndir * infinity_f;
 169         }
 170
 171       if (!x.is_empty ())
 172         insert_extent_into_skyline (&chord_outlines_[dir],
 173                                     Box (x,y),
 174                                     Y_AXIS, -dir);
 175     }
 176   while (flip (&updowndir) != DOWN);
 177
 178   head_extents_[dir].set_empty ();
 179   for (vsize i = 0; i < head_boxes.size (); i++)
 180     {
 181       head_extents_[dir].unite (head_boxes[i]);
 182     }
 183 }
 184
 185
 186 void
 187 Tie_formatting_problem::from_tie (Grob *tie)
 188 {
 189   vector<Grob*> ties;
 190   ties.push_back (tie);
 191   from_ties (ties);
 192
 193   details_.from_grob (tie);
 194 }
 195
 196 Grob *
 197 Tie_formatting_problem::common_x_refpoint () const
 198 {
 199   return x_refpoint_;
 200 }
 201
 202 void
 203 Tie_formatting_problem::from_ties (vector<Grob*> const &ties)
 204 {
 205   if (ties.empty ())
 206     return;
 207
 208   x_refpoint_ = ties[0];
 209   for (vsize i = 0; i < ties.size (); i++)
 210     {
 211       x_refpoint_ = dynamic_cast<Spanner*> (ties[i])->get_bound (LEFT)->common_refpoint (x_refpoint_, X_AXIS);
 212       x_refpoint_ = dynamic_cast<Spanner*> (ties[i])->get_bound (RIGHT)->common_refpoint (x_refpoint_, X_AXIS);
 213     }
 214
 215   details_.from_grob (ties[0]);
 216
 217   Direction d = LEFT;
 218   do
 219     {
 220       vector<Item*> bounds;
 221
 222       for (vsize i = 0; i < ties.size (); i++)
 223         {
 224           Item *it = dynamic_cast<Spanner*> (ties[i])->get_bound (d);
 225
 226           bounds.push_back (it);
 227         }
 228
 229       set_chord_outline (bounds, d);
 230     }
 231   while (flip (&d) != LEFT);
 232
 233
 234   for (vsize i = 0; i < ties.size (); i++)
 235     {
 236       Tie_specification spec;
 237
 238       if (scm_is_number (ties[i]->get_property_data (ly_symbol2scm ("direction"))))
 239         {
 240           spec.manual_dir_ = to_dir (ties[i]->get_property ("direction"));
 241           spec.has_manual_dir_ = true;
 242         }
 243
 244       spec.position_ = Tie::get_position (ties[i]);
 245
 246       do
 247         {
 248           spec.note_head_drul_[d] = Tie::head (ties[i], d);
 249         }
 250       while (flip (&d) != LEFT);
 251
 252       specifications_.push_back (spec);
 253     }
 254 }
 255
 256 void
 257 Tie_formatting_problem::from_semi_ties (vector<Grob*> const &lv_ties, Direction head_dir)
 258 {
 259   if (lv_ties.empty ())
 260     return;
 261
 262   details_.from_grob (lv_ties[0]);
 263   vector<Item*> heads;
 264
 265   for (vsize i = 0; i < lv_ties.size (); i++)
 266     {
 267       Tie_specification spec;
 268       Item *head = unsmob_item (lv_ties[i]->get_object ("note-head"));
 269
 270       if (!head)
 271         programming_error ("LV tie without head?!");
 272
 273       if (head)
 274         {
 275           spec.position_ = int (Staff_symbol_referencer::get_position (head));
 276         }
 277
 278       spec.note_head_drul_[head_dir] = head;
 279       heads.push_back (head);
 280       specifications_.push_back (spec);
 281     }
 282
 283   x_refpoint_ = lv_ties [0];
 284   for (vsize i = 0; i < lv_ties.size (); i++)
 285     x_refpoint_ = lv_ties[i]->common_refpoint (x_refpoint_, X_AXIS);
 286   for (vsize i = 0; i < heads.size (); i++)
 287     x_refpoint_ = heads[i]->common_refpoint (x_refpoint_, X_AXIS);
 288
 289   set_chord_outline (heads, head_dir);
 290
 291   Real extremal = head_dir * infinity_f;
 292
 293   for (vsize i = 0; i < chord_outlines_[head_dir].size (); i++)
 294     {
 295       extremal = head_dir * min (head_dir * extremal,
 296                                    head_dir * chord_outlines_[head_dir][i].height_);
 297     }
 298
 299   Skyline_entry right_entry;
 300   right_entry.width_.set_full ();
 301   right_entry.height_ = extremal - head_dir * 1.5;
 302
 303   chord_outlines_[-head_dir].push_back (right_entry);
 304 }
 305
 306
 307 Tie_specification
 308 Tie_formatting_problem::get_tie_specification (int i) const
 309 {
 310   return specifications_[i];
 311 }
 312
 313
 314 Tie_configuration*
 315 Tie_formatting_problem::get_configuration (int pos, Direction dir) const
 316 {
 317   pair<int,int> key (pos, dir);
 318   Tie_configuration_map::const_iterator f = possibilities_.find (key);
 319
 320   if (f != possibilities_.end ())
 321     {
 322       return (*f).second;
 323     }
 324
 325
 326   Tie_configuration *conf = generate_configuration (pos, dir);
 327   ((Tie_formatting_problem*) this)->possibilities_[key] = conf;
 328   return conf;
 329 }
 330
 331 Tie_configuration*
 332 Tie_formatting_problem::generate_configuration (int pos, Direction dir) const
 333 {
 334   Tie_configuration *conf = new Tie_configuration;
 335   conf->position_ = pos;
 336   conf->dir_ = dir;
 337   Real y = conf->position_ * 0.5 * details_.staff_space_;
 338
 339
 340   bool y_tune = true;
 341   if (dot_positions_.find (pos) != dot_positions_.end ())
 342     {
 343       conf->delta_y_ += 0.25 * details_.staff_space_;
 344       y_tune = false;
 345     }
 346
 347
 348
 349   if (y_tune
 350       && max (fabs (head_extents_[LEFT][Y_AXIS][dir] - y),
 351               fabs (head_extents_[RIGHT][Y_AXIS][dir] - y)) < 0.25
 352       && !Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_, pos))
 353     {
 354       conf->delta_y_ =
 355         (head_extents_[LEFT][Y_AXIS][dir] - y)
 356         + dir * details_.outer_tie_vertical_gap_;
 357     }
 358
 359   if (y_tune)
 360     {
 361       conf->attachment_x_ = get_attachment (y + conf->delta_y_);
 362       Real h =  conf->height (details_);
 363
 364       /*
 365         TODO:
 366
 367         - should make sliding criterion, should flatten ties if
 368
 369         - they're just the wrong (ie. touching line at top & bottom)
 370         size.
 371
 372        */
 373       if (h < details_.intra_space_threshold_ * 0.5 * details_.staff_space_)
 374         {
 375           if (!Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_, pos)
 376               && abs (pos) < 2 * Staff_symbol_referencer::staff_radius (details_.staff_symbol_referencer_))
 377             {
 378               conf->center_tie_vertically (details_);
 379             }
 380           else if (Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_, pos))
 381             {
 382               conf->delta_y_ += dir *
 383                 details_.tip_staff_line_clearance_ * 0.5 *  details_.staff_space_;
 384             }
 385         }
 386       else
 387         {
 388           Real top_y = y + conf->delta_y_ + conf->dir_ * h;
 389           Real top_pos = top_y / (0.5*details_.staff_space_);
 390           int round_pos = int (my_round (top_pos));
 391
 392           /* TODO: should use other variable? */
 393           Real clearance = details_.center_staff_line_clearance_;
 394           if (fabs (top_pos - round_pos) < clearance
 395               && Staff_symbol_referencer::on_staff_line (details_.staff_symbol_referencer_,
 396                                                          round_pos))
 397             {
 398               Real new_y = (round_pos + clearance * conf->dir_) * 0.5 * details_.staff_space_;
 399               conf->delta_y_ = (new_y - top_y);
 400             }
 401         }
 402     }
 403
 404   conf->attachment_x_ = get_attachment (y + conf->delta_y_);
 405   if (conf->height (details_) < details_.intra_space_threshold_ * 0.5 * details_.staff_space_)
 406     {
 407       /*
 408         This is less sensible for long ties, since those are more
 409         horizontal.
 410       */
 411       Interval close_by = get_attachment (y
 412                                           + conf->delta_y_
 413                                           + (dir * details_.intra_space_threshold_ * 0.25
 414                                              * details_.staff_space_));
 415
 416       conf->attachment_x_.intersect (close_by);
 417     }
 418
 419   conf->attachment_x_.widen ( - details_.x_gap_);
 420
 421   Direction d = LEFT;
 422   do
 423     {
 424       Real y = conf->position_ * details_.staff_space_ * 0.5 + conf->delta_y_;
 425       if (stem_extents_[d][X_AXIS].is_empty ()
 426           || !stem_extents_[d][Y_AXIS].contains (y))
 427         continue;
 428
 429       conf->attachment_x_[d] =
 430         d* min (d * conf->attachment_x_[d],
 431                 d * (stem_extents_[d][X_AXIS][-d] - d * details_.stem_gap_));
 432     }
 433   while (flip (&d) != LEFT);
 434   return conf;
 435 }
 436
 437 /**
 438    TIE_IDX and TIES_CONF are optional.
 439  */
 440 Real
 441 Tie_formatting_problem::score_aptitude (Tie_configuration *conf,
 442                                         Tie_specification const &spec,
 443                                         Ties_configuration *ties_conf, int tie_idx) const
 444 {
 445   Real penalty = 0.0;
 446   Real curve_y = conf->position_ * details_.staff_space_ * 0.5 + conf->delta_y_;
 447   Real tie_y = spec.position_ * details_.staff_space_ * 0.5;
 448   if (sign (curve_y - tie_y) != conf->dir_)
 449     {
 450       Real p =  details_.wrong_direction_offset_penalty_;
 451       if (ties_conf)
 452         ties_conf->add_tie_score (p, tie_idx, "wrong dir");
 453       else
 454         penalty += p;
 455     }
 456
 457   {
 458     Real p = details_.vertical_distance_penalty_factor_ * fabs (curve_y - tie_y);
 459     if (ties_conf)
 460       ties_conf->add_tie_score (p, tie_idx, "vdist");
 461     else
 462       penalty += p;
 463   }
 464
 465   Direction d = LEFT;
 466   do
 467     {
 468       if (!spec.note_head_drul_[d])
 469         continue;
 470
 471       Interval head_x = spec.note_head_drul_[d]->extent (x_refpoint_, X_AXIS);
 472       Real dist = head_x.distance (conf->attachment_x_[d]);
 473
 474       /*
 475         TODO: flatten with log or sqrt.
 476        */
 477       Real p = details_.horizontal_distance_penalty_factor_ * dist;
 478       if (ties_conf)
 479         ties_conf->add_tie_score (p, tie_idx,
 480                                   (d == LEFT) ? "lhdist" : "rhdist");
 481       else
 482         penalty += p;
 483     }
 484   while (flip (&d) != LEFT);
 485
 486   return penalty;
 487 }
 488
 489 void
 490 Tie_formatting_problem::score_configuration (Tie_configuration *conf) const
 491 {
 492   if (conf->scored_)
 493     {
 494       return ;
 495     }
 496
 497   Real length = conf->attachment_x_.length ();
 498
 499   conf->add_score (details_.min_length_penalty_factor_
 500                    * peak_around (0.33 * details_.min_length_, details_.min_length_, length),
 501                    "minlength");
 502
 503   Real tip_pos = conf->position_ + conf->delta_y_ / 0.5 * details_.staff_space_;
 504   Real tip_y = tip_pos * details_.staff_space_ * 0.5;
 505   Real height =  conf->height (details_);
 506
 507   Real top_y = tip_y + conf->dir_ * height;
 508   Real top_pos = 2 * top_y / details_.staff_space_;
 509   Real round_top_pos = rint (top_pos);
 510   if (Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_,
 511                                                 int (round_top_pos))
 512       && Staff_symbol_referencer::staff_radius (details_.staff_symbol_referencer_) > top_y)
 513     {
 514       conf->add_score (
 515         details_.staff_line_collision_penalty_
 516         * peak_around (0.1 * details_.center_staff_line_clearance_,
 517                      details_.center_staff_line_clearance_,
 518                        fabs (top_pos - round_top_pos)),
 519         "line center");
 520     }
 521
 522   if (Staff_symbol_referencer::on_line (details_.staff_symbol_referencer_,
 523                                         int (rint (tip_pos))))
 524     {
 525       conf->add_score (details_.staff_line_collision_penalty_
 526                        * peak_around (0.1 * details_.tip_staff_line_clearance_,
 527                                       details_.tip_staff_line_clearance_,
 528                                       fabs (tip_pos - rint (tip_pos))),
 529                        "tipline");
 530     }
 531
 532   if (!dot_x_.is_empty ())
 533     {
 534       /* use left edge? */
 535       Real x = dot_x_.center ();
 536
 537       Bezier b = conf->get_transformed_bezier (details_);
 538       if (b.control_point_extent (X_AXIS).contains (x))
 539         {
 540           Real y = b.get_other_coordinate (X_AXIS, x);
 541
 542           for (set<int>::const_iterator i (dot_positions_.begin ());
 543                i != dot_positions_.end (); i ++)
 544             {
 545               int dot_pos = (*i);
 546               conf->add_score (details_.dot_collision_penalty_
 547                 * peak_around (.1 * details_.dot_collision_clearance_,
 548                                details_.dot_collision_clearance_,
 549                                fabs (dot_pos * details_.staff_space_ * 0.5 - y)),
 550                                "dot collision");
 551             }
 552         }
 553     }
 554
 555   conf->scored_ = true;
 556 }
 557
 558 Tie_configuration
 559 Tie_formatting_problem::find_optimal_tie_configuration (Tie_specification const &spec) const
 560 {
 561   vector<Tie_configuration*> confs;
 562
 563   int pos = spec.position_;
 564   Direction dir = spec.manual_dir_;
 565
 566   for (int i = 0; i < details_.single_tie_region_size_; i ++)
 567     {
 568       confs.push_back (generate_configuration (pos + i * dir, dir));
 569     }
 570
 571   vector<Real> scores;
 572
 573   int best_idx = -1;
 574   Real best_score = 1e6;
 575   for (vsize i = 0; i < confs.size (); i ++)
 576     {
 577       score_configuration (confs[i]);
 578       Real score = score_aptitude (confs[i], spec, 0, 0)
 579         + confs[i]->score ();
 580
 581       if (score < best_score)
 582         {
 583           best_score = score;
 584           best_idx = i;
 585         }
 586     }
 587
 588   Tie_configuration best = *confs[best_idx];
 589   for (vsize i = 0; i < confs.size (); i++)
 590     delete confs[i];
 591
 592   return best;
 593 }
 594
 595 Tie_specification::Tie_specification ()
 596 {
 597   has_manual_position_ = false;
 598   has_manual_dir_ = false;
 599   position_ = 0;
 600   manual_position_ = 0;
 601   manual_dir_ = CENTER;
 602   note_head_drul_[LEFT] =
 603     note_head_drul_[RIGHT] = 0;
 604 }
 605
 606
 607 void
 608 Tie_formatting_problem::score_ties_aptitude (Ties_configuration *ties) const
 609 {
 610   if  (ties->size () != specifications_.size ())
 611     {
 612       programming_error ("Huh? Mismatch between sizes.");
 613       return;
 614     }
 615
 616   for (vsize i = 0; i < ties->size (); i++)
 617     score_aptitude (&ties->at (i), specifications_[i],
 618                     ties, i);
 619 }
 620
 621 void
 622 Tie_formatting_problem::score_ties (Ties_configuration *ties) const
 623 {
 624   if (ties->scored_)
 625     return;
 626
 627   score_ties_configuration (ties);
 628   score_ties_aptitude (ties);
 629   ties->scored_ = true;
 630 }
 631
 632 void
 633 Tie_formatting_problem::score_ties_configuration (Ties_configuration *ties) const
 634 {
 635   for (vsize i = 0; i < ties->size (); i++)
 636     {
 637       score_configuration (&ties->at (i));
 638       ties->add_tie_score (ties->at (i).score (), i, "conf");
 639     }
 640
 641   Real last_edge = 0.0;
 642   Real last_center = 0.0;
 643   for (vsize i = 0; i < ties->size (); i++)
 644     {
 645       Bezier b (ties->at (i).get_transformed_bezier (details_));
 646
 647       Real center = b.curve_point (0.5)[Y_AXIS];
 648       Real edge = b.curve_point (0.0)[Y_AXIS];
 649
 650       if (i)
 651         {
 652           if (edge <= last_edge)
 653             ties->add_score (details_.tie_column_monotonicity_penalty_, "monoton edge");
 654           if (center <= last_center)
 655             ties->add_score (details_.tie_column_monotonicity_penalty_, "monoton cent");
 656
 657           ties->add_score (details_.tie_tie_collision_penalty_ *
 658                            peak_around (0.1 * details_.tie_tie_collision_distance_,
 659                                         details_.tie_tie_collision_distance_,
 660                                         fabs (center - last_center)),
 661                            "tietie center");
 662           ties->add_score (details_.tie_tie_collision_penalty_ *
 663                            peak_around (0.1 * details_.tie_tie_collision_distance_,
 664                                         details_.tie_tie_collision_distance_,
 665                                         fabs (edge - last_edge)), "tietie edge");
 666         }
 667
 668       last_edge = edge;
 669       last_center = center;
 670     }
 671
 672   ties->add_score (details_.outer_tie_length_symmetry_penalty_factor_
 673                    * fabs (ties->at (0).attachment_x_.length () - ties->back ().attachment_x_.length ()),
 674                    "length symm");
 675
 676   ties->add_score (details_.outer_tie_vertical_distance_symmetry_penalty_factor_
 677                    * fabs (fabs (specifications_[0].position_ * 0.5 * details_.staff_space_
 678                                  - (ties->at (0).position_ * 0.5 * details_.staff_space_
 679                                     + ties->at (0).delta_y_))
 680                            -
 681                            fabs (specifications_.back ().position_ * 0.5 * details_.staff_space_
 682                                  - (ties->back ().position_ * 0.5 * details_.staff_space_
 683                                     + ties->back ().delta_y_))),
 684                    "pos symmetry");
 685 }
 686
 687 /*
 688   Generate with correct X-attachments and beziers, copying delta_y_
 689   from TIES_CONFIG if necessary.
 690 */
 691 Ties_configuration
 692 Tie_formatting_problem::generate_ties_configuration (Ties_configuration const &ties_config)
 693 {
 694   Ties_configuration copy;
 695   for (vsize i = 0; i < ties_config.size (); i++)
 696     {
 697       Tie_configuration * ptr = get_configuration (ties_config[i].position_, ties_config[i].dir_);
 698       if (specifications_[i].has_manual_position_)
 699         {
 700           ptr->delta_y_
 701             = (specifications_[i].manual_position_ - ties_config[i].position_)
 702             * 0.5 * details_.staff_space_;
 703         }
 704       copy.push_back (*ptr);
 705     }
 706
 707   return copy;
 708 }
 709
 710 Ties_configuration
 711 Tie_formatting_problem::generate_base_chord_configuration ()
 712 {
 713   Ties_configuration ties_config;
 714   for (vsize i = 0;  i < specifications_.size (); i ++)
 715     {
 716       Tie_configuration conf;
 717       if (specifications_[i].has_manual_dir_)
 718         conf.dir_ = specifications_[i].manual_dir_;
 719       if (specifications_[i].has_manual_position_)
 720         {
 721           conf.position_ = (int) my_round (specifications_[i].manual_position_);
 722           conf.delta_y_ = (specifications_[i].manual_position_ - conf.position_)
 723             * 0.5 * details_.staff_space_;
 724         }
 725       else
 726         {
 727           conf.position_ = specifications_[i].position_;
 728         }
 729       ties_config.push_back (conf);
 730     }
 731
 732   set_ties_config_standard_directions (&ties_config);
 733   for (vsize i = 0; i < ties_config.size (); i++)
 734     if (!specifications_[i].manual_position_)
 735       ties_config[i].position_ += ties_config[i].dir_;
 736
 737   ties_config = generate_ties_configuration (ties_config);
 738
 739   return ties_config;
 740 }
 741
 742 Ties_configuration
 743 Tie_formatting_problem::find_best_variation (Ties_configuration const &base,
 744                                              vector<Tie_configuration_variation> vars)
 745 {
 746   Ties_configuration best = base;
 747
 748   /*
 749     This simply is 1-opt: we have K substitions, and we try applying
 750     exactly every one for each.
 751   */
 752   for (vsize i = 0; i < vars.size (); i++)
 753     {
 754       Ties_configuration variant (base);
 755       variant[vars[i].index_] = *vars[i].suggestion_;
 756
 757       variant.reset_score ();
 758       score_ties (&variant);
 759
 760       if (variant.score () < best.score ())
 761         {
 762           best = variant;
 763         }
 764     }
 765
 766   return best;
 767 }
 768
 769
 770
 771 Ties_configuration
 772 Tie_formatting_problem::generate_optimal_chord_configuration ()
 773 {
 774
 775   Ties_configuration base = generate_base_chord_configuration ();
 776   vector<Tie_configuration_variation> vars = generate_collision_variations (base);
 777
 778   score_ties (&base);
 779   Ties_configuration best = find_best_variation (base, vars);
 780   vars = generate_extremal_tie_variations (best);
 781   best = find_best_variation (best, vars);
 782
 783   return best;
 784 }
 785
 786 void
 787 Tie_formatting_problem::set_ties_config_standard_directions (Ties_configuration *tie_configs)
 788 {
 789   if (tie_configs->empty ())
 790     return ;
 791
 792   if (!tie_configs->at (0).dir_)
 793     tie_configs->at (0).dir_ = DOWN;
 794   if (!tie_configs->back ().dir_)
 795     tie_configs->back ().dir_ = UP;
 796
 797   /*
 798     Seconds
 799    */
 800   for (vsize i = 1; i < tie_configs->size (); i++)
 801     {
 802       Real diff = (tie_configs->at (i-1).position_
 803                    - tie_configs->at (i).position_);
 804
 805       if (fabs (diff) <= 1)
 806         {
 807           if (!tie_configs->at (i-1).dir_)
 808             tie_configs->at (i-1).dir_ = DOWN;
 809           if (!tie_configs->at (i).dir_)
 810             tie_configs->at (i).dir_ = UP;
 811         }
 812     }
 813
 814   for (vsize i = 1; i < tie_configs->size() - 1; i++)
 815     {
 816       Tie_configuration &conf = tie_configs->at (i);
 817       if (conf.dir_)
 818         continue;
 819
 820       Direction position_dir =
 821         Direction (sign (conf.position_));
 822       if (!position_dir)
 823         position_dir = DOWN;
 824
 825       conf.dir_ = position_dir;
 826     }
 827 }
 828
 829 Tie_configuration_variation::Tie_configuration_variation ()
 830 {
 831   index_ = 0;
 832   suggestion_ = 0;
 833 }
 834
 835 vector<Tie_configuration_variation>
 836 Tie_formatting_problem::generate_extremal_tie_variations (Ties_configuration const &ties) const
 837 {
 838   vector<Tie_configuration_variation> vars;
 839   Direction d = DOWN;
 840   do
 841     {
 842       if (boundary (ties, d, 0).dir_ == d
 843           && !boundary (specifications_, d, 0).has_manual_position_)
 844         for (int i = 1; i <= details_.multi_tie_region_size_; i++)
 845           {
 846             Tie_configuration_variation var;
 847             var.index_ = (d == DOWN) ? 0 : ties.size () - 1;
 848             var.suggestion_ = get_configuration (boundary (ties, d, 0).position_
 849                                                  + d * i, d);
 850             vars.push_back (var);
 851           }
 852     }
 853   while (flip (&d) !=  DOWN);
 854
 855   return vars;
 856 }
 857
 858
 859 vector<Tie_configuration_variation>
 860 Tie_formatting_problem::generate_collision_variations (Ties_configuration const &ties) const
 861 {
 862   Real center_distance_tolerance = 0.25;
 863
 864   vector<Tie_configuration_variation> vars;
 865   Real last_center = 0.0;
 866   for (vsize i = 0; i < ties.size (); i++)
 867     {
 868       Bezier b (ties[i].get_transformed_bezier (details_));
 869
 870       Real center = b.curve_point (0.5)[Y_AXIS];
 871
 872       if (i)
 873         {
 874           if (center <= last_center + center_distance_tolerance)
 875             {
 876               if (!specifications_[i].has_manual_dir_)
 877                 {
 878                   Tie_configuration_variation var;
 879                   var.index_ = i;
 880                   var.suggestion_ = get_configuration (specifications_[i].position_
 881                                                        - ties[i].dir_,
 882                                                        -ties[i].dir_);
 883
 884                   vars.push_back (var);
 885                 }
 886
 887               if (!specifications_[i-1].has_manual_dir_)
 888                 {
 889                   Tie_configuration_variation var;
 890                   var.index_ = i-1;
 891                   var.suggestion_ = get_configuration (specifications_[i-1].position_
 892                                                        - ties[i-1].dir_,
 893                                                        - ties[i-1].dir_);
 894
 895                   vars.push_back (var);
 896                 }
 897
 898               if (i == 1 && !specifications_[i-1].has_manual_position_
 899                   && ties[i-1].dir_ == DOWN)
 900                 {
 901                   Tie_configuration_variation var;
 902                   var.index_ = i-1;
 903                   var.suggestion_ = get_configuration (specifications_[i-1].position_
 904                                                        - 1, DOWN);
 905                   vars.push_back (var);
 906                 }
 907               if (i == ties.size() && !specifications_[i].has_manual_position_
 908                   && ties[i].dir_ == UP)
 909                 {
 910                   Tie_configuration_variation var;
 911                   var.index_ = i;
 912                   var.suggestion_ = get_configuration (specifications_[i].position_
 913                                                        + 1, UP);
 914                   vars.push_back (var);
 915                 }
 916             }
 917           else if (dot_positions_.find (ties[i].position_) != dot_positions_.end ()
 918                    && !specifications_[i].has_manual_position_)
 919             {
 920               Tie_configuration_variation var;
 921               var.index_ = i;
 922               var.suggestion_ = get_configuration (ties[i].position_  + ties[i].dir_,
 923                                                    ties[i].dir_);
 924               vars.push_back (var);
 925             }
 926
 927         }
 928
 929       last_center = center;
 930     }
 931
 932
 933   return vars;
 934 }
 935
 936 void
 937 Tie_formatting_problem::set_manual_tie_configuration (SCM manual_configs)
 938 {
 939   vsize k = 0;
 940   for (SCM s = manual_configs;
 941        scm_is_pair (s) && k < specifications_.size (); s = scm_cdr (s))
 942     {
 943       SCM entry = scm_car (s);
 944       if (scm_is_pair (entry))
 945         {
 946           Tie_specification &spec = specifications_[k];
 947
 948           if (scm_is_number (scm_car (entry)))
 949             {
 950               spec.has_manual_position_ = true;
 951               spec.manual_position_ = scm_to_double (scm_car (entry));
 952             }
 953           if (scm_is_number (scm_cdr (entry)))
 954             {
 955               spec.has_manual_dir_ = true;
 956               spec.manual_dir_ = Direction (scm_to_int (scm_cdr (entry)));
 957             }
 958         }
 959       k ++;
 960     }
 961 }
 962