lily/slur-scoring.cc

   1 /*
   2   This file is part of LilyPond, the GNU music typesetter.
   3
   4   Copyright (C) 1996--2012 Han-Wen Nienhuys <hanwen@xs4all.nl>
   5   Jan Nieuwenhuizen <janneke@gnu.org>
   6
   7   LilyPond is free software: you can redistribute it and/or modify
   8   it under the terms of the GNU General Public License as published by
   9   the Free Software Foundation, either version 3 of the License, or
  10   (at your option) any later version.
  11
  12   LilyPond is distributed in the hope that it will be useful,
  13   but WITHOUT ANY WARRANTY; without even the implied warranty of
  14   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  15   GNU General Public License for more details.
  16
  17   You should have received a copy of the GNU General Public License
  18   along with LilyPond.  If not, see <http://www.gnu.org/licenses/>.
  19 */
  20
  21 #include "slur-scoring.hh"
  22
  23 #include <queue>
  24
  25 #include "axis-group-interface.hh"
  26 #include "accidental-interface.hh"
  27 #include "beam.hh"
  28 #include "clef.hh"
  29 #include "directional-element-interface.hh"
  30 #include "dots.hh"
  31 #include "libc-extension.hh"
  32 #include "main.hh"
  33 #include "misc.hh"
  34 #include "note-column.hh"
  35 #include "output-def.hh"
  36 #include "paper-column.hh"
  37 #include "pitch.hh"
  38 #include "pointer-group-interface.hh"
  39 #include "slur-configuration.hh"
  40 #include "slur.hh"
  41 #include "spanner.hh"
  42 #include "staff-symbol-referencer.hh"
  43 #include "staff-symbol.hh"
  44 #include "stem.hh"
  45 #include "time-signature.hh"
  46 #include "warn.hh"
  47
  48 /*
  49   TODO:
  50
  51   - curve around flag for y coordinate
  52
  53   - short-cut: try a smaller region first.
  54
  55   - handle non-visible stems better.
  56
  57   - try to prune number of scoring criteria
  58
  59   - take encompass-objects more into account when determining
  60   slur shape
  61
  62   - calculate encompass scoring directly after determining slur shape.
  63
  64   - optimize.
  65 */
  66 struct Slur_score_state;
  67
  68 Slur_score_state::Slur_score_state ()
  69 {
  70   musical_dy_ = 0.0;
  71   valid_ = false;
  72   stub_ = false;
  73   edge_has_beams_ = false;
  74   has_same_beam_ = false;
  75   is_broken_ = false;
  76   dir_ = CENTER;
  77   slur_ = 0;
  78   common_[X_AXIS] = 0;
  79   common_[Y_AXIS] = 0;
  80 }
  81
  82 Slur_score_state::~Slur_score_state ()
  83 {
  84   junk_pointers (configurations_);
  85 }
  86
  87 /*
  88   If a slur is broken across a line break, the direction
  89   of the post-break slur must be the same as the pre-break
  90   slur.
  91 */
  92 Direction
  93 Slur_score_state::slur_direction () const
  94 {
  95   Grob *left_neighbor = slur_->broken_neighbor (LEFT);
  96
  97   if (left_neighbor && left_neighbor->is_live ())
  98     return get_grob_direction (left_neighbor);
  99
 100   Direction dir = get_grob_direction (slur_);
 101
 102   if (Grob *right_neighbor = slur_->broken_neighbor (RIGHT))
 103     set_grob_direction (right_neighbor, dir);
 104
 105   return dir;
 106 }
 107
 108 Encompass_info
 109 Slur_score_state::get_encompass_info (Grob *col) const
 110 {
 111   Grob *stem = unsmob_grob (col->get_object ("stem"));
 112   Encompass_info ei;
 113
 114   if (!stem)
 115     {
 116       programming_error ("no stem for note column");
 117       ei.x_ = col->relative_coordinate (common_[X_AXIS], X_AXIS);
 118       ei.head_ = ei.stem_ = col->maybe_pure_extent (common_[Y_AXIS],
 119                                          Y_AXIS, stub_, 0, INT_MAX)[dir_];
 120       return ei;
 121     }
 122   Direction stem_dir = get_grob_direction (stem);
 123
 124   if (Grob *head = Note_column::first_head (col))
 125     ei.x_ = head->extent (common_[X_AXIS], X_AXIS).center ();
 126   else
 127     ei.x_ = col->extent (common_[X_AXIS], X_AXIS).center ();
 128
 129   Grob *h = Stem::extremal_heads (stem)[Direction (dir_)];
 130   if (!h)
 131     {
 132       ei.head_ = ei.stem_ = col->maybe_pure_extent (common_[Y_AXIS], Y_AXIS, stub_, 0, INT_MAX)[dir_];
 133       return ei;
 134     }
 135
 136   ei.head_ = h->maybe_pure_extent (common_[Y_AXIS], Y_AXIS, stub_, 0, INT_MAX)[dir_];
 137
 138   if ((stem_dir == dir_)
 139       && !stem->maybe_pure_extent (stem, Y_AXIS, stub_, 0, INT_MAX).is_empty ())
 140     {
 141       ei.stem_ = stem->maybe_pure_extent (common_[Y_AXIS], Y_AXIS, stub_, 0, INT_MAX)[dir_];
 142       if (Grob *b = Stem::get_beam (stem))
 143         ei.stem_ += stem_dir * 0.5 * Beam::get_beam_thickness (b);
 144
 145       Interval x = stem->extent (common_[X_AXIS], X_AXIS);
 146       ei.x_ = x.is_empty ()
 147               ? stem->relative_coordinate (common_[X_AXIS], X_AXIS)
 148               : x.center ();
 149     }
 150   else
 151     ei.stem_ = ei.head_;
 152
 153   return ei;
 154 }
 155
 156 Drul_array<Bound_info>
 157 Slur_score_state::get_bound_info () const
 158 {
 159   Drul_array<Bound_info> extremes;
 160
 161   Direction dir = dir_;
 162
 163   for (LEFT_and_RIGHT (d))
 164     {
 165       extremes[d].bound_ = slur_->get_bound (d);
 166       if (Note_column::has_interface (extremes[d].bound_))
 167         {
 168           extremes[d].note_column_ = extremes[d].bound_;
 169           extremes[d].stem_ = Note_column::get_stem (extremes[d].note_column_);
 170           extremes[d].flag_ = Note_column::get_flag (extremes[d].note_column_);
 171
 172           if (extremes[d].stem_)
 173             {
 174               extremes[d].stem_dir_ = get_grob_direction (extremes[d].stem_);
 175
 176               for (int a = X_AXIS; a < NO_AXES; a++)
 177                 {
 178                   Axis ax = Axis (a);
 179                   Interval s = ax == Y_AXIS
 180                                ? extremes[d].stem_->maybe_pure_extent (common_[ax], ax, stub_, 0, INT_MAX)
 181                                : extremes[d].stem_->extent (common_[ax], ax);
 182                   if (extremes[d].flag_)
 183                     s.unite (ax == Y_AXIS
 184                              ? extremes[d].flag_->maybe_pure_extent (common_[ax], ax, stub_, 0, INT_MAX)
 185                              : extremes[d].flag_->extent (common_[ax], ax));
 186                   if (s.is_empty ())
 187                     {
 188                       /*
 189                         do not issue warning. This happens for rests and
 190                         whole notes.
 191                       */
 192                       s = Interval (0, 0)
 193                           + (ax == Y_AXIS
 194                              ? extremes[d].stem_->maybe_pure_coordinate (common_[ax], ax, stub_, 0, INT_MAX)
 195                              : extremes[d].stem_->relative_coordinate (common_[ax], ax));
 196                     }
 197                   extremes[d].stem_extent_[ax] = s;
 198                 }
 199
 200               extremes[d].slur_head_
 201                 = Stem::extremal_heads (extremes[d].stem_)[dir];
 202               if (!extremes[d].slur_head_
 203                   && Note_column::has_rests (extremes[d].bound_))
 204                 extremes[d].slur_head_ = Note_column::get_rest (extremes[d].bound_);
 205               extremes[d].staff_ = Staff_symbol_referencer
 206                                    ::get_staff_symbol (extremes[d].stem_);
 207               extremes[d].staff_space_ = Staff_symbol_referencer
 208                                          ::staff_space (extremes[d].stem_);
 209             }
 210
 211           if (extremes[d].slur_head_)
 212             extremes[d].slur_head_x_extent_
 213               = extremes[d].slur_head_->extent (common_[X_AXIS], X_AXIS);
 214
 215         }
 216     }
 217
 218   return extremes;
 219 }
 220
 221 void
 222 Slur_score_state::fill (Grob *me)
 223 {
 224   slur_ = dynamic_cast<Spanner *> (me);
 225   stub_ = slur_->internal_has_interface (ly_symbol2scm ("cross-staff-stub-interface"));
 226
 227   columns_
 228     = internal_extract_grob_array (me, ly_symbol2scm ("note-columns"));
 229
 230   if (columns_.empty ())
 231     {
 232       me->suicide ();
 233       return;
 234     }
 235
 236   Slur::replace_breakable_encompass_objects (me);
 237   staff_space_ = Staff_symbol_referencer::staff_space (me);
 238   Real lt = me->layout ()->get_dimension (ly_symbol2scm ("line-thickness"));
 239   thickness_ = robust_scm2double (me->get_property ("thickness"), 1.0) * lt;
 240
 241   dir_ = slur_direction ();
 242   parameters_.fill (me);
 243
 244   extract_grob_set (me, "note-columns", columns);
 245   extract_grob_set (me, "encompass-objects", extra_objects);
 246
 247   Spanner *sp = dynamic_cast<Spanner *> (me);
 248
 249   for (int i = X_AXIS; i < NO_AXES; i++)
 250     {
 251       Axis a = (Axis)i;
 252       common_[a] = common_refpoint_of_array (columns, me, a);
 253       common_[a] = common_refpoint_of_array (extra_objects, common_[a], a);
 254
 255       for (LEFT_and_RIGHT (d))
 256         {
 257           /*
 258             If bound is not in note-columns, we don't want to know about
 259             its Y-position
 260           */
 261           if (a != Y_AXIS)
 262             common_[a] = common_[a]->common_refpoint (sp->get_bound (d), a);
 263         }
 264     }
 265
 266   extremes_ = get_bound_info ();
 267   is_broken_ = (!extremes_[LEFT].note_column_
 268                 || !extremes_[RIGHT].note_column_);
 269
 270   has_same_beam_
 271     = (extremes_[LEFT].stem_ && extremes_[RIGHT].stem_
 272        && Stem::get_beam (extremes_[LEFT].stem_) == Stem::get_beam (extremes_[RIGHT].stem_));
 273
 274   base_attachments_ = get_base_attachments ();
 275
 276   Drul_array<Real> end_ys
 277     = get_y_attachment_range ();
 278
 279   extra_encompass_infos_ = get_extra_encompass_infos ();
 280
 281   Interval additional_ys (0.0, 0.0);
 282
 283   for (vsize i = 0; i < extra_encompass_infos_.size (); i++)
 284     {
 285       if (extra_encompass_infos_[i].extents_[X_AXIS].is_empty ())
 286         continue;
 287
 288       Real y_place = linear_interpolate (extra_encompass_infos_[i].extents_[X_AXIS].center (),
 289                                          base_attachments_[RIGHT][X_AXIS],
 290                                          base_attachments_[LEFT][X_AXIS],
 291                                          end_ys[RIGHT],
 292                                          end_ys[LEFT]);
 293       Real encompass_place = extra_encompass_infos_[i].extents_[Y_AXIS][dir_];
 294       if (extra_encompass_infos_[i].type_ == ly_symbol2scm ("inside")
 295           && minmax (dir_, encompass_place, y_place) == encompass_place
 296           && (!extra_encompass_infos_[i].grob_->internal_has_interface (ly_symbol2scm ("key-signature-interface"))
 297               && !Clef::has_interface (extra_encompass_infos_[i].grob_)
 298               && !Time_signature::has_interface (extra_encompass_infos_[i].grob_)))
 299         {
 300           for (LEFT_and_RIGHT (d))
 301             additional_ys[d] = minmax (dir_,
 302                                        additional_ys[d],
 303                                        (dir_
 304                                         * (parameters_.encompass_object_range_overshoot_
 305                                            + (y_place - encompass_place)
 306                                            * (normalize (extra_encompass_infos_[i].extents_[X_AXIS].center (),
 307                                                          base_attachments_[RIGHT][X_AXIS],
 308                                                          base_attachments_[LEFT][X_AXIS])
 309                                               + (dir_ == LEFT ? 0 : -1)))));
 310         }
 311     }
 312
 313   for (LEFT_and_RIGHT (d))
 314     end_ys[d] += additional_ys[d];
 315
 316   configurations_ = enumerate_attachments (end_ys);
 317   for (vsize i = 0; i < columns_.size (); i++)
 318     encompass_infos_.push_back (get_encompass_info (columns_[i]));
 319
 320   valid_ = true;
 321
 322   musical_dy_ = 0.0;
 323   for (LEFT_and_RIGHT (d))
 324     {
 325       if (!is_broken_
 326           && extremes_[d].slur_head_)
 327         musical_dy_ += d
 328                        * extremes_[d].slur_head_->maybe_pure_coordinate (common_[Y_AXIS], Y_AXIS, stub_, 0, INT_MAX);
 329     }
 330
 331   edge_has_beams_
 332     = (extremes_[LEFT].stem_ && Stem::get_beam (extremes_[LEFT].stem_))
 333       || (extremes_[RIGHT].stem_ && Stem::get_beam (extremes_[RIGHT].stem_));
 334
 335   if (is_broken_)
 336     musical_dy_ = 0.0;
 337 }
 338
 339 MAKE_SCHEME_CALLBACK (Slur, calc_control_points, 1)
 340 SCM
 341 Slur::calc_control_points (SCM smob)
 342 {
 343   Spanner *me = unsmob_spanner (smob);
 344
 345   if (!to_boolean (me->get_property ("cross-staff"))
 346       && me->internal_has_interface (ly_symbol2scm ("cross-staff-stub-interface")))
 347     {
 348       me->suicide ();
 349       return SCM_EOL;
 350     }
 351
 352   Slur_score_state state;
 353   state.fill (me);
 354
 355   if (!state.valid_)
 356     return SCM_EOL;
 357
 358   state.generate_curves ();
 359
 360   SCM end_ys = me->get_property ("positions");
 361   SCM inspect_quants = me->get_property ("inspect-quants");
 362   bool debug_slurs = to_boolean (me->layout ()
 363                                  ->lookup_variable (ly_symbol2scm ("debug-slur-scoring")));
 364
 365   if (is_number_pair (inspect_quants))
 366     {
 367       debug_slurs = true;
 368       end_ys = inspect_quants;
 369     }
 370
 371   Slur_configuration *best = NULL;
 372   if (is_number_pair (end_ys))
 373     best = state.get_forced_configuration (ly_scm2interval (end_ys));
 374   else
 375     best = state.get_best_curve ();
 376
 377 #if DEBUG_SLUR_SCORING
 378   if (debug_slurs)
 379     {
 380       string total = best->card ();
 381       total += to_string (" TOTAL=%.2f idx=%d", best->score (), best->index_);
 382       me->set_property ("annotation", ly_string2scm (total));
 383     }
 384 #endif
 385
 386   SCM controls = SCM_EOL;
 387   for (int i = 4; i--;)
 388     {
 389       Offset o = best->curve_.control_[i]
 390                  - Offset (me->relative_coordinate (state.common_[X_AXIS], X_AXIS),
 391                            me->maybe_pure_coordinate (state.common_[Y_AXIS], Y_AXIS,
 392                                state.stub_, 0, INT_MAX));
 393
 394       controls = scm_cons (ly_offset2scm (o), controls);
 395     }
 396
 397   return controls;
 398 }
 399
 400 Slur_configuration *
 401 Slur_score_state::get_forced_configuration (Interval ys) const
 402 {
 403   Slur_configuration *best = NULL;
 404   Real mindist = 1e6;
 405   for (vsize i = 0; i < configurations_.size (); i++)
 406     {
 407       Real d = fabs (configurations_[i]->attachment_[LEFT][Y_AXIS] - ys[LEFT])
 408                + fabs (configurations_[i]->attachment_[RIGHT][Y_AXIS] - ys[RIGHT]);
 409       if (d < mindist)
 410         {
 411           best = configurations_[i];
 412           mindist = d;
 413         }
 414     }
 415
 416   while (!best->done ())
 417     best->run_next_scorer (*this);
 418
 419   if (mindist > 1e5)
 420     programming_error ("cannot find quant");
 421
 422   return best;
 423 }
 424
 425 Slur_configuration *
 426 Slur_score_state::get_best_curve () const
 427 {
 428   std::priority_queue < Slur_configuration *, std::vector<Slur_configuration *>,
 429       Slur_configuration_less > queue;
 430   for (vsize i = 0; i < configurations_.size (); i++)
 431     queue.push (configurations_[i]);
 432
 433   Slur_configuration *best = NULL;
 434   while (true)
 435     {
 436       best = queue.top ();
 437       if (best->done ())
 438         break;
 439
 440       queue.pop ();
 441       best->run_next_scorer (*this);
 442       queue.push (best);
 443     }
 444
 445   return best;
 446 }
 447
 448 Interval
 449 Slur_score_state::breakable_bound_extent (Direction d) const
 450 {
 451   Grob *col = slur_->get_bound (d)->get_column ();
 452   Interval ret;
 453   ret.set_empty ();
 454
 455   extract_grob_set (slur_, "encompass-objects", extra_encompasses);
 456
 457   for (vsize i = 0; i < extra_encompasses.size (); i++)
 458     {
 459       Item *item = dynamic_cast<Item *> (extra_encompasses[i]);
 460       if (item && col == item->get_column ())
 461         ret.unite (robust_relative_extent (item, common_[X_AXIS], X_AXIS));
 462     }
 463
 464   return ret;
 465 }
 466
 467 /*
 468   TODO: should analyse encompasses to determine sensible region, and
 469   should limit slopes available.
 470 */
 471
 472 Drul_array<Real>
 473 Slur_score_state::get_y_attachment_range () const
 474 {
 475   Drul_array<Real> end_ys;
 476   for (LEFT_and_RIGHT (d))
 477     {
 478       if (extremes_[d].note_column_)
 479         {
 480           end_ys[d] = dir_
 481                       * max (max (dir_ * (base_attachments_[d][Y_AXIS]
 482                                           + parameters_.region_size_ * dir_),
 483                                   dir_ * (dir_ + extremes_[d].note_column_->maybe_pure_extent
 484                                                    (common_[Y_AXIS], Y_AXIS, stub_, 0, INT_MAX)[dir_])),
 485                              dir_ * base_attachments_[-d][Y_AXIS]);
 486         }
 487       else
 488         end_ys[d] = base_attachments_[d][Y_AXIS] + parameters_.region_size_ * dir_;
 489     }
 490
 491   return end_ys;
 492 }
 493
 494 bool
 495 spanner_less (Spanner *s1, Spanner *s2)
 496 {
 497   Slice b1, b2;
 498   for (LEFT_and_RIGHT (d))
 499     {
 500       b1[d] = s1->get_bound (d)->get_column ()->get_rank ();
 501       b2[d] = s2->get_bound (d)->get_column ()->get_rank ();
 502     }
 503
 504   return b2[LEFT] <= b1[LEFT] && b2[RIGHT] >= b1[RIGHT]
 505          && (b2[LEFT] != b1[LEFT] || b2[RIGHT] != b1[RIGHT]);
 506 }
 507
 508 Drul_array<Offset>
 509 Slur_score_state::get_base_attachments () const
 510 {
 511   Drul_array<Offset> base_attachment;
 512   for (LEFT_and_RIGHT (d))
 513     {
 514       Grob *stem = extremes_[d].stem_;
 515       Grob *head = extremes_[d].slur_head_;
 516
 517       Real x = 0.0;
 518       Real y = 0.0;
 519       if (extremes_[d].note_column_)
 520         {
 521
 522           /*
 523             fixme: X coord should also be set in this case.
 524           */
 525           if (stem
 526               && !Stem::is_invisible (stem)
 527               && extremes_[d].stem_dir_ == dir_
 528               && Stem::get_beaming (stem, -d)
 529               && Stem::get_beam (stem)
 530               && (!spanner_less (slur_, Stem::get_beam (stem))
 531                   || has_same_beam_))
 532             y = extremes_[d].stem_extent_[Y_AXIS][dir_];
 533           else if (head)
 534             y = head->maybe_pure_extent (common_[Y_AXIS], Y_AXIS, stub_, 0, INT_MAX)[dir_];
 535           y += dir_ * 0.5 * staff_space_;
 536
 537           y = move_away_from_staffline (y, head);
 538
 539           Grob *fh = Note_column::first_head (extremes_[d].note_column_);
 540           x
 541             = (fh ? fh->extent (common_[X_AXIS], X_AXIS)
 542                : extremes_[d].bound_->extent (common_[X_AXIS], X_AXIS))
 543               .linear_combination (CENTER);
 544         }
 545       base_attachment[d] = Offset (x, y);
 546     }
 547
 548   for (LEFT_and_RIGHT (d))
 549     {
 550       if (!extremes_[d].note_column_)
 551         {
 552           Real x = 0;
 553           Real y = 0;
 554
 555           Interval ext = breakable_bound_extent (d);
 556           if (ext.is_empty ())
 557             ext = Axis_group_interface::
 558                   generic_bound_extent (extremes_[d].bound_,
 559                                         common_[X_AXIS], X_AXIS);
 560           x = ext[-d];
 561
 562           Grob *col = (d == LEFT) ? columns_[0] : columns_.back ();
 563
 564           if (extremes_[-d].bound_ != col)
 565             {
 566               y = maybe_pure_robust_relative_extent (col, common_[Y_AXIS], Y_AXIS, stub_, 0, INT_MAX)[dir_];
 567               y += dir_ * 0.5 * staff_space_;
 568
 569               if (get_grob_direction (col) == dir_
 570                   && Note_column::get_stem (col)
 571                   && !Stem::is_invisible (Note_column::get_stem (col)))
 572                 y -= dir_ * 1.5 * staff_space_;
 573             }
 574           else
 575             y = base_attachment[-d][Y_AXIS];
 576
 577           y = move_away_from_staffline (y, col);
 578
 579           base_attachment[d] = Offset (x, y);
 580         }
 581     }
 582
 583   for (LEFT_and_RIGHT (d))
 584     {
 585       for (int a = X_AXIS; a < NO_AXES; a++)
 586         {
 587           Real &b = base_attachment[d][Axis (a)];
 588
 589           if (isinf (b) || isnan (b))
 590             {
 591               programming_error ("slur attachment is inf/nan");
 592               b = 0.0;
 593             }
 594         }
 595     }
 596
 597   return base_attachment;
 598 }
 599
 600 Real
 601 Slur_score_state::move_away_from_staffline (Real y,
 602                                             Grob *on_staff) const
 603 {
 604   if (!on_staff)
 605     return y;
 606
 607   Grob *staff_symbol = Staff_symbol_referencer::get_staff_symbol (on_staff);
 608   if (!staff_symbol)
 609     return y;
 610
 611   Real pos
 612     = (y - staff_symbol->maybe_pure_coordinate (common_[Y_AXIS],
 613                                               Y_AXIS, stub_, 0, INT_MAX))
 614       * 2.0 / staff_space_;
 615
 616   if (fabs (pos - my_round (pos)) < 0.2
 617       && Staff_symbol_referencer::on_staff_line (on_staff, (int) rint (pos)))
 618     y += 1.5 * staff_space_ * dir_ / 10;
 619
 620   return y;
 621 }
 622
 623 vector<Offset>
 624 Slur_score_state::generate_avoid_offsets () const
 625 {
 626   vector<Offset> avoid;
 627   vector<Grob *> encompasses = columns_;
 628
 629   for (vsize i = 0; i < encompasses.size (); i++)
 630     {
 631       if (extremes_[LEFT].note_column_ == encompasses[i]
 632           || extremes_[RIGHT].note_column_ == encompasses[i])
 633         continue;
 634
 635       Encompass_info inf (get_encompass_info (encompasses[i]));
 636       Real y = dir_ * (max (dir_ * inf.head_, dir_ * inf.stem_));
 637
 638       avoid.push_back (Offset (inf.x_, y + dir_ * parameters_.free_head_distance_));
 639     }
 640
 641   extract_grob_set (slur_, "encompass-objects", extra_encompasses);
 642   for (vsize i = 0; i < extra_encompasses.size (); i++)
 643     {
 644       if (Slur::has_interface (extra_encompasses[i]))
 645         {
 646           Grob *small_slur = extra_encompasses[i];
 647           Bezier b = Slur::get_curve (small_slur);
 648
 649           Offset z = b.curve_point (0.5);
 650           z += Offset (small_slur->relative_coordinate (common_[X_AXIS], X_AXIS),
 651                        small_slur->maybe_pure_coordinate (common_[Y_AXIS], Y_AXIS, stub_, 0, INT_MAX));
 652
 653           z[Y_AXIS] += dir_ * parameters_.free_slur_distance_;
 654           avoid.push_back (z);
 655         }
 656       else if (extra_encompasses[i]->get_property ("avoid-slur") == ly_symbol2scm ("inside"))
 657         {
 658           Grob *g = extra_encompasses [i];
 659           Interval xe = g->extent (common_[X_AXIS], X_AXIS);
 660           Interval ye = g->maybe_pure_extent (common_[Y_AXIS], Y_AXIS, stub_, 0, INT_MAX);
 661
 662           if (!xe.is_empty ()
 663               && !ye.is_empty ())
 664             avoid.push_back (Offset (xe.center (), ye[dir_]));
 665         }
 666     }
 667   return avoid;
 668 }
 669
 670 void
 671 Slur_score_state::generate_curves () const
 672 {
 673   Real r_0 = robust_scm2double (slur_->get_property ("ratio"), 0.33);
 674   Real h_inf = staff_space_ * scm_to_double (slur_->get_property ("height-limit"));
 675
 676   vector<Offset> avoid = generate_avoid_offsets ();
 677   for (vsize i = 0; i < configurations_.size (); i++)
 678     configurations_[i]->generate_curve (*this, r_0, h_inf, avoid);
 679 }
 680
 681 vector<Slur_configuration *>
 682 Slur_score_state::enumerate_attachments (Drul_array<Real> end_ys) const
 683 {
 684   vector<Slur_configuration *> scores;
 685
 686   Drul_array<Offset> os;
 687   os[LEFT] = base_attachments_[LEFT];
 688   Real minimum_length = staff_space_
 689                         * robust_scm2double (slur_->get_property ("minimum-length"), 2.0);
 690
 691   for (int i = 0; dir_ * os[LEFT][Y_AXIS] <= dir_ * end_ys[LEFT]; i++)
 692     {
 693       os[RIGHT] = base_attachments_[RIGHT];
 694       for (int j = 0; dir_ * os[RIGHT][Y_AXIS] <= dir_ * end_ys[RIGHT]; j++)
 695         {
 696
 697           Drul_array<bool> attach_to_stem (false, false);
 698           for (LEFT_and_RIGHT (d))
 699             {
 700               os[d][X_AXIS] = base_attachments_[d][X_AXIS];
 701               if (extremes_[d].stem_
 702                   && !Stem::is_invisible (extremes_[d].stem_)
 703                   && extremes_[d].stem_dir_ == dir_)
 704                 {
 705                   Interval stem_y = extremes_[d].stem_extent_[Y_AXIS];
 706                   stem_y.widen (0.25 * staff_space_);
 707                   if (stem_y.contains (os[d][Y_AXIS]))
 708                     {
 709                       os[d][X_AXIS] = extremes_[d].stem_extent_[X_AXIS][-d]
 710                                       - d * 0.3;
 711                       attach_to_stem[d] = true;
 712                     }
 713                   else if (dir_ * extremes_[d].stem_extent_[Y_AXIS][dir_]
 714                            < dir_ * os[d][Y_AXIS]
 715                            && !extremes_[d].stem_extent_[X_AXIS].is_empty ())
 716
 717                     os[d][X_AXIS] = extremes_[d].stem_extent_[X_AXIS].center ();
 718                 }
 719             }
 720
 721           Offset dz;
 722           dz = os[RIGHT] - os[LEFT];
 723           if (dz[X_AXIS] < minimum_length
 724               || fabs (dz[Y_AXIS] / dz[X_AXIS]) > parameters_.max_slope_)
 725             {
 726               for (LEFT_and_RIGHT (d))
 727                 {
 728                   if (extremes_[d].slur_head_
 729                       && !extremes_[d].slur_head_x_extent_.is_empty ())
 730                     {
 731                       os[d][X_AXIS] = extremes_[d].slur_head_x_extent_.center ();
 732                       attach_to_stem[d] = false;
 733                     }
 734                 }
 735             }
 736
 737           dz = os[RIGHT] - os[LEFT];
 738           for (LEFT_and_RIGHT (d))
 739             {
 740               if (extremes_[d].slur_head_
 741                   && !attach_to_stem[d])
 742                 {
 743                   /* Horizontally move tilted slurs a little.  Move
 744                      more for bigger tilts.
 745
 746                      TODO: parameter */
 747                   os[d][X_AXIS]
 748                   -= dir_ * extremes_[d].slur_head_x_extent_.length ()
 749                      * sin (dz.arg ()) / 3;
 750                 }
 751             }
 752
 753           scores.push_back (Slur_configuration::new_config (os, scores.size ()));
 754
 755           os[RIGHT][Y_AXIS] += dir_ * staff_space_ / 2;
 756         }
 757
 758       os[LEFT][Y_AXIS] += dir_ * staff_space_ / 2;
 759     }
 760
 761   assert (scores.size () > 0);
 762   return scores;
 763 }
 764
 765 vector<Extra_collision_info>
 766 Slur_score_state::get_extra_encompass_infos () const
 767 {
 768   extract_grob_set (slur_, "encompass-objects", encompasses);
 769   vector<Extra_collision_info> collision_infos;
 770   for (vsize i = encompasses.size (); i--;)
 771     {
 772       if (Slur::has_interface (encompasses[i]))
 773         {
 774           Spanner *small_slur = dynamic_cast<Spanner *> (encompasses[i]);
 775           Bezier b = Slur::get_curve (small_slur);
 776
 777           Offset relative (small_slur->relative_coordinate (common_[X_AXIS], X_AXIS),
 778                            small_slur->maybe_pure_coordinate (common_[Y_AXIS], Y_AXIS, stub_, 0, INT_MAX));
 779
 780           for (int k = 0; k < 3; k++)
 781             {
 782               Direction hdir = Direction (k - 1);
 783
 784               /*
 785                 Only take bound into account if small slur starts
 786                 together with big slur.
 787               */
 788               if (hdir && small_slur->get_bound (hdir) != slur_->get_bound (hdir))
 789                 continue;
 790
 791               Offset z = b.curve_point (k / 2.0);
 792               z += relative;
 793
 794               Interval yext;
 795               yext.set_full ();
 796               yext[dir_] = z[Y_AXIS] + dir_ * thickness_ * 1.0;
 797
 798               Interval xext (-1, 1);
 799               xext = xext * (thickness_ * 2) + z[X_AXIS];
 800               Extra_collision_info info (small_slur,
 801                                          hdir,
 802                                          xext,
 803                                          yext,
 804                                          parameters_.extra_object_collision_penalty_);
 805               collision_infos.push_back (info);
 806             }
 807         }
 808       else
 809         {
 810           Grob *g = encompasses [i];
 811           Interval xe = g->extent (common_[X_AXIS], X_AXIS);
 812           Interval ye = g->maybe_pure_extent (common_[Y_AXIS], Y_AXIS, stub_, 0, INT_MAX);
 813           if (Dots::has_interface (g))
 814             ye.widen (0.2);
 815
 816           Real xp = 0.0;
 817           Real penalty = parameters_.extra_object_collision_penalty_;
 818           if (Accidental_interface::has_interface (g))
 819             {
 820               penalty = parameters_.accidental_collision_;
 821
 822               Rational alt = ly_scm2rational (g->get_property ("alteration"));
 823               SCM scm_style = g->get_property ("style");
 824               if (!scm_is_symbol (scm_style)
 825                   && !to_boolean (g->get_property ("parenthesized"))
 826                   && !to_boolean (g->get_property ("restore-first")))
 827                 {
 828                   /* End copy accidental.cc */
 829                   if (alt == FLAT_ALTERATION
 830                       || alt == DOUBLE_FLAT_ALTERATION)
 831                     xp = LEFT;
 832                   else if (alt == SHARP_ALTERATION)
 833                     xp = 0.5 * dir_;
 834                   else if (alt == NATURAL_ALTERATION)
 835                     xp = -dir_;
 836                 }
 837             }
 838
 839           ye.widen (thickness_ * 0.5);
 840           xe.widen (thickness_ * 1.0);
 841           Extra_collision_info info (g, xp, xe, ye, penalty);
 842           collision_infos.push_back (info);
 843         }
 844     }
 845
 846   return collision_infos;
 847 }
 848
 849 Extra_collision_info::Extra_collision_info (Grob *g, Real idx, Interval x, Interval y, Real p)
 850 {
 851   idx_ = idx;
 852   extents_[X_AXIS] = x;
 853   extents_[Y_AXIS] = y;
 854   penalty_ = p;
 855   grob_ = g;
 856   type_ = g->get_property ("avoid-slur");
 857 }
 858
 859 Extra_collision_info::Extra_collision_info ()
 860 {
 861   idx_ = 0.0;
 862   penalty_ = 0.;
 863   grob_ = 0;
 864   type_ = SCM_EOL;
 865 }