lily/slur-quanting.cc

   1 /*
   2   slur.cc -- implement score based Slur
   3
   4   source file of the GNU LilyPond music typesetter
   5
   6   (c) 1996--2004 Han-Wen Nienhuys <hanwen@cs.uu.nl>
   7   Jan Nieuwenhuizen <janneke@gnu.org>
   8 */
   9
  10
  11 #include <math.h>
  12
  13 #include "pitch.hh"
  14 #include "accidental-interface.hh"
  15 #include "directional-element-interface.hh"
  16 #include "group-interface.hh"
  17 #include "lily-guile.hh"
  18 #include "note-column.hh"
  19 #include "output-def.hh"
  20 #include "slur-bezier-bow.hh"
  21 #include "new-slur.hh"
  22 #include "spanner.hh"
  23 #include "staff-symbol-referencer.hh"
  24 #include "staff-symbol.hh"
  25 #include "stem.hh"
  26 #include "warn.hh"
  27 #include "beam.hh"
  28
  29 struct Slur_score
  30 {
  31   Drul_array<Offset> attachment_;
  32   Real score_;
  33   Bezier curve_;
  34
  35 #if DEBUG_SLUR_QUANTING
  36   String score_card_;
  37 #endif
  38
  39   Slur_score()
  40   {
  41     score_ = 0.0;
  42   }
  43 };
  44
  45 /*
  46   TODO: put in details property.,
  47
  48   use lowercase.
  49 */
  50 struct Slur_score_parameters
  51 {
  52   int SLUR_REGION_SIZE;
  53   Real HEAD_ENCOMPASS_PENALTY;
  54   Real STEM_ENCOMPASS_PENALTY;
  55   Real CLOSENESS_FACTOR;
  56   Real EDGE_ATTRACTION_FACTOR;
  57   Real SAME_SLOPE_PENALTY;
  58   Real STEEPER_SLOPE_FACTOR;
  59   Real NON_HORIZONTAL_PENALTY;
  60   Real HEAD_STRICT_FREE_SPACE;
  61   Real MAX_SLOPE;
  62   Real MAX_SLOPE_FACTOR;
  63   Real EXTRA_OBJECT_COLLISION;
  64   Real ACCIDENTAL_COLLISION;
  65   Real FREE_HEAD_DISTANCE;
  66   Slur_score_parameters ();
  67 };
  68
  69 /*
  70   TODO:
  71
  72   - curve around flag for y coordinate
  73   - better scoring.
  74   - short-cut: try a smaller region first.
  75   - collisions with accidentals
  76   - collisions with articulations (staccato, portato, sforzato, ...)
  77   -
  78 */
  79 struct Encompass_info
  80 {
  81   Real x_;
  82   Real stem_;
  83   Real head_;
  84   Encompass_info ()
  85   {
  86     x_ = 0.0;
  87     stem_ = 0.0;
  88     head_ = 0.0;
  89   }
  90 };
  91
  92 struct Bound_info
  93 {
  94   Box stem_extent_;
  95   Direction stem_dir_;
  96   Grob *bound_;
  97   Grob *note_column_;
  98   Grob *slur_head_;
  99   Grob *staff_;
 100   Grob *stem_;
 101   Interval slur_head_extent_;
 102   Real neighbor_y_;
 103   Real staff_space_;
 104
 105   Bound_info ()
 106   {
 107     stem_ = 0;
 108     neighbor_y_ = 0;
 109     staff_ = 0;
 110     slur_head_ = 0;
 111     stem_dir_ = CENTER;
 112     note_column_ = 0;
 113   }
 114 };
 115
 116
 117
 118
 119 static void
 120 score_extra_encompass (Grob *me, Grob *common[],
 121                        Slur_score_parameters *score_param,
 122                        Drul_array<Bound_info> ,
 123                        Drul_array<Offset> ,
 124                        Array<Slur_score> * scores);
 125 static void score_slopes (Grob *me, Grob *common[],
 126                           Slur_score_parameters *score_param,
 127                           Drul_array<Bound_info>,
 128                           Drul_array<Offset> base_attach,
 129                           Array<Slur_score> *scores);
 130
 131 static void score_edges (Grob *me, Grob *common[],
 132                          Slur_score_parameters *score_param,
 133                          Drul_array<Bound_info> extremes,
 134                          Drul_array<Offset> base_attach,
 135                          Array<Slur_score> *scores);
 136 static void score_encompass (Grob *me, Grob *common[],
 137                              Slur_score_parameters*,
 138                              Drul_array<Bound_info>,
 139                              Drul_array<Offset>, Array<Slur_score> *scores);
 140 static Bezier avoid_staff_line (Grob *me, Grob **common,
 141                                 Drul_array<Bound_info> extremes,
 142                                 Bezier bez);
 143
 144 static Encompass_info get_encompass_info (Grob *me,
 145                                           Grob *col,
 146                                           Grob **common);
 147 static Bezier get_bezier (Grob *me, Drul_array<Offset>, Real, Real);
 148 static Direction get_default_dir (Grob *me);
 149
 150 static void set_end_points (Grob *);
 151 static Real broken_trend_y (Grob *me, Grob **, Direction dir);
 152 static Drul_array<Bound_info> get_bound_info (Spanner *me, Grob **common);
 153
 154 static void generate_curves (Grob *me,
 155                              Grob *common[],
 156                              Drul_array<Bound_info> extremes,
 157                              Drul_array<Offset> base_attach,
 158                              Array<Slur_score> *scores);
 159 static Array<Slur_score> enumerate_attachments
 160 (Grob *me, Grob *common[], Slur_score_parameters *score_param,
 161  Drul_array<Bound_info> extremes,
 162  Drul_array<Offset> base_attachment, Drul_array<Real> end_ys);
 163 static Drul_array<Offset> get_base_attachments
 164 (Spanner *sp, Grob **common, Drul_array<Bound_info> extremes);
 165 static Drul_array<Real> get_y_attachment_range
 166 (Spanner *sp, Grob **common, Drul_array<Bound_info> extremes,
 167  Drul_array<Offset> base_attachment);
 168
 169 void
 170 init_score_param (Slur_score_parameters *score_param)
 171 {
 172   score_param->SLUR_REGION_SIZE = 5;
 173   score_param->HEAD_ENCOMPASS_PENALTY = 1000.0;
 174   score_param->STEM_ENCOMPASS_PENALTY = 30.0;
 175   score_param->CLOSENESS_FACTOR = 10;
 176   score_param->EDGE_ATTRACTION_FACTOR = 4;
 177   score_param->SAME_SLOPE_PENALTY = 20;
 178   score_param->STEEPER_SLOPE_FACTOR = 50;
 179   score_param->NON_HORIZONTAL_PENALTY = 15;
 180   score_param->HEAD_STRICT_FREE_SPACE = 0.2;
 181   score_param->MAX_SLOPE = 1.1;
 182   score_param->MAX_SLOPE_FACTOR = 10;
 183   score_param->FREE_HEAD_DISTANCE = 0.3;
 184   score_param->EXTRA_OBJECT_COLLISION = 8;
 185   score_param->ACCIDENTAL_COLLISION = 3;
 186 }
 187
 188 Slur_score_parameters::Slur_score_parameters()
 189 {
 190   init_score_param (this);
 191 }
 192
 193 /* HDIR indicates the direction for the slur.  */
 194 Real
 195 broken_trend_y (Grob *me, Grob **common, Direction hdir)
 196 {
 197   /* A broken slur should maintain the same vertical trend
 198      the unbroken slur would have had.  */
 199   Real by = 0.0;
 200   if (Spanner *mother = dynamic_cast<Spanner*> (me->original_))
 201     {
 202       int k = broken_spanner_index (dynamic_cast<Spanner*> (me));
 203       int j = k + hdir;
 204       if (j < 0 || j >= mother->broken_intos_.size ())
 205         return by;
 206
 207       Grob *neighbor = mother->broken_intos_[j];
 208       if (hdir == RIGHT)
 209         neighbor->set_property ("direction",
 210                                 me->get_property ("direction"));
 211
 212       Spanner *common_mother
 213         = dynamic_cast<Spanner*> (common[Y_AXIS]->original_);
 214       int common_k
 215         = broken_spanner_index (dynamic_cast<Spanner*> (common[Y_AXIS]));
 216       int common_j = common_k + hdir;
 217
 218       if (common_j < 0 || common_j >= common_mother->broken_intos_.size())
 219         return by;
 220
 221       Grob *common_next_system = common_mother->broken_intos_[common_j];
 222       Link_array<Grob> neighbor_cols
 223         = Pointer_group_interface__extract_grobs (neighbor, (Grob *)0,
 224                                                   "note-columns");
 225
 226       Grob *neighbor_col
 227         = (hdir == RIGHT) ? neighbor_cols[0] : neighbor_cols.top ();
 228       Grob *neighbor_common
 229         = common_next_system->common_refpoint (neighbor_col, Y_AXIS);
 230
 231       Direction vdir = get_grob_direction (me);
 232       Real neighbor_y
 233         = neighbor_col->extent (neighbor_common, Y_AXIS)
 234         .linear_combination (int(neighbor_cols.size()==1 ? CENTER : vdir))
 235         - common_next_system->relative_coordinate (neighbor_common, Y_AXIS);
 236
 237       Link_array<Grob> my_cols
 238         = Pointer_group_interface__extract_grobs (me, (Grob *)0,
 239                                                   "note-columns");
 240
 241       Grob *extreme_col = (hdir == RIGHT) ? my_cols.top() : my_cols[0];
 242       Real y = extreme_col->extent (common[Y_AXIS], Y_AXIS)
 243         .linear_combination (int ((my_cols.size() == 1) ? CENTER : vdir));
 244       by = (y*neighbor_cols.size() + neighbor_y*my_cols.size()) /
 245         (my_cols.size() + neighbor_cols.size());
 246     }
 247   return by;
 248 }
 249
 250
 251 Encompass_info
 252 get_encompass_info (Grob *me,
 253                     Grob *col,
 254                     Grob **common)
 255 {
 256   Grob* stem = unsmob_grob (col->get_property ("stem"));
 257
 258   Encompass_info ei;
 259
 260   Direction dir = get_grob_direction (me);
 261
 262   if (!stem)
 263     {
 264       programming_error ("No stem for note column?");
 265       ei.x_ = col->relative_coordinate (common[X_AXIS], X_AXIS);
 266       ei.head_ = ei.stem_ = col->extent (common[Y_AXIS],
 267                                          Y_AXIS)[get_grob_direction (me)];
 268       return ei;
 269     }
 270   Direction stem_dir = get_grob_direction (stem);
 271
 272   if (Grob *head = Note_column::first_head (col))
 273     ei.x_ = head->extent (common[X_AXIS], X_AXIS).center ();
 274   else
 275     ei.x_ = col->extent (common[X_AXIS], X_AXIS).center ();
 276
 277   Grob * h = Stem::extremal_heads (stem)[Direction (dir)];
 278   if (!h)
 279     {
 280       ei.head_ = ei.stem_ = col->extent (common[Y_AXIS], Y_AXIS)[dir];
 281       return ei;
 282     }
 283
 284   ei.head_ = h->extent (common[Y_AXIS], Y_AXIS)[dir];
 285
 286   if ((stem_dir == dir)
 287       && !stem->extent (stem, Y_AXIS).is_empty ())
 288     {
 289       ei.stem_ = stem->extent (common[Y_AXIS], Y_AXIS)[dir];
 290       if (Grob * b = Stem::get_beam (stem))
 291         ei.stem_ += stem_dir * 0.5 * Beam::get_thickness (b);
 292       ei.x_  = stem->extent (common[X_AXIS], X_AXIS).center ();
 293     }
 294   else
 295     ei.stem_ = ei.head_;
 296
 297   return ei;
 298 }
 299
 300
 301 Direction
 302 get_default_dir (Grob*me)
 303 {
 304   Link_array<Grob> encompasses
 305     = Pointer_group_interface__extract_grobs (me, (Grob*) 0, "note-columns");
 306
 307   Direction d = DOWN;
 308   for (int i= 0; i < encompasses.size (); i ++)
 309     {
 310       if (Note_column::dir (encompasses[i]) < 0)
 311         {
 312           d = UP;
 313           break;
 314         }
 315     }
 316   return d;
 317 }
 318
 319 MAKE_SCHEME_CALLBACK (New_slur, after_line_breaking,1);
 320 SCM
 321 New_slur::after_line_breaking (SCM smob)
 322 {
 323   Spanner *me = dynamic_cast<Spanner*> (unsmob_grob (smob));
 324   if (!scm_ilength (me->get_property ("note-columns")))
 325     {
 326       me->suicide ();
 327       return SCM_UNSPECIFIED;
 328     }
 329
 330   if (!get_grob_direction (me))
 331     set_grob_direction (me, get_default_dir (me));
 332
 333   set_end_points (me);
 334
 335   return SCM_UNSPECIFIED;
 336 }
 337
 338
 339 Bezier
 340 get_bezier (Grob *me, Drul_array<Offset> extremes,
 341             Real r_0,
 342             Real h_inf)
 343 {
 344   Array<Offset> encompasses;
 345   encompasses.push (extremes[LEFT]);
 346   encompasses.push (extremes[RIGHT]);
 347
 348   Slur_bezier_bow bb (encompasses,
 349                       get_grob_direction (me), h_inf, r_0);
 350
 351   return bb.get_bezier ();
 352 }
 353
 354
 355 Drul_array<Bound_info>
 356 get_bound_info (Spanner* me,
 357                 Grob **common)
 358 {
 359   Drul_array<Bound_info> extremes;
 360   Direction d = LEFT;
 361   Direction dir = get_grob_direction (me);
 362
 363   do {
 364     extremes[d].bound_ = me->get_bound (d);
 365
 366     if (Note_column::has_interface (extremes[d].bound_))
 367       {
 368         extremes[d].note_column_ = extremes[d].bound_;
 369         extremes[d].stem_ = Note_column::get_stem (extremes[d].note_column_);
 370         extremes[d].stem_dir_ = get_grob_direction (extremes[d].stem_);
 371         extremes[d].stem_extent_[X_AXIS] = extremes[d].stem_->extent (common[X_AXIS], X_AXIS);
 372         extremes[d].stem_extent_[Y_AXIS] = extremes[d].stem_->extent (common[Y_AXIS], Y_AXIS);
 373         extremes[d].slur_head_ = Stem::extremal_heads (extremes[d].stem_)[dir];
 374         extremes[d].slur_head_extent_ = extremes[d].slur_head_->extent (common[X_AXIS], X_AXIS);
 375         extremes[d].staff_ = Staff_symbol_referencer::get_staff_symbol (extremes[d].slur_head_);
 376         extremes[d].staff_space_ = Staff_symbol_referencer::staff_space (extremes[d].slur_head_);
 377       }
 378     else
 379       {
 380         extremes[d].neighbor_y_ = broken_trend_y (me, common, d);
 381       }
 382   } while (flip (&d) != LEFT);
 383
 384   return extremes;
 385 }
 386
 387 void
 388 set_end_points (Grob *me)
 389 {
 390   Link_array<Grob> columns
 391     = Pointer_group_interface__extract_grobs (me, (Grob *)0, "note-columns");
 392   Slur_score_parameters params;
 393   if (columns.is_empty ())
 394     {
 395       me->suicide ();
 396       return;
 397     }
 398
 399   SCM eltlist = me->get_property ("note-columns");
 400
 401
 402   SCM extra_list = me->get_property ("encompass-objects");
 403   Spanner *sp = dynamic_cast<Spanner*> (me);
 404
 405   Grob *common[] = {0,0};
 406   for (int i = X_AXIS; i < NO_AXES; i++)
 407     {
 408       Axis a = (Axis)i;
 409       common[a] = common_refpoint_of_list (eltlist, me, a);
 410       common[a] = common_refpoint_of_list (extra_list, common[a], a);
 411     }
 412
 413   common[X_AXIS] = common[X_AXIS]->common_refpoint (sp->get_bound (RIGHT),X_AXIS);
 414   common[X_AXIS] = common[X_AXIS]->common_refpoint (sp->get_bound (LEFT),
 415                                                     X_AXIS);
 416
 417   Drul_array<Bound_info> extremes = get_bound_info (sp, common);
 418   Drul_array<Offset> base_attachment
 419     = get_base_attachments (sp, common, extremes);
 420   Drul_array<Real> end_ys
 421     = get_y_attachment_range (sp, common, extremes, base_attachment);
 422   Array<Slur_score> scores = enumerate_attachments (me, common, &params,
 423                                                     extremes, base_attachment,
 424                                                     end_ys);
 425
 426   generate_curves (me, common, extremes, base_attachment, &scores);
 427   score_edges (me, common, &params,extremes, base_attachment, &scores);
 428   score_slopes (me, common, &params,extremes, base_attachment, &scores);
 429   score_encompass (me, common, &params,extremes, base_attachment, &scores);
 430   score_extra_encompass (me, common, &params,extremes, base_attachment, &scores);
 431
 432   Real opt = 1e6;
 433   int opt_idx = 0;
 434   // why backwards?
 435   for (int i = scores.size (); i--;)
 436     {
 437       if (scores[i].score_  < opt)
 438         {
 439           opt = scores[i].score_;
 440           opt_idx = i;
 441         }
 442     }
 443
 444 #if DEBUG_SLUR_QUANTING
 445   SCM inspect_quants = me->get_property ("inspect-quants");
 446   if (to_boolean (me->get_paper ()
 447                   ->lookup_variable (ly_symbol2scm ("debug-slur-quanting")))
 448       && ly_c_pair_p (inspect_quants))
 449     {
 450       Drul_array<Real> ins = ly_scm2interval (inspect_quants);
 451       int i = 0;
 452
 453       Real mindist = 1e6;
 454       for (; i < scores.size (); i ++)
 455         {
 456           Real d =fabs (scores[i].attachment_[LEFT][Y_AXIS] - ins[LEFT])
 457             + fabs (scores[i].attachment_[RIGHT][Y_AXIS] - ins[RIGHT]);
 458           if (d < mindist)
 459             {
 460               opt_idx = i;
 461               mindist= d;
 462             }
 463         }
 464       if (mindist > 1e5)
 465         programming_error ("Could not find quant.");
 466     }
 467   scores[opt_idx].score_card_ += to_string ("i%d", opt_idx);
 468
 469   // debug quanting
 470   me->set_property ("quant-score",
 471                     scm_makfrom0str (scores[opt_idx].score_card_.to_str0 ()));
 472 #endif
 473
 474
 475   Bezier b = scores[opt_idx].curve_;
 476   SCM controls = SCM_EOL;
 477   for (int i = 4; i--;)
 478     {
 479       Offset o = b.control_[i] -
 480         Offset (me->relative_coordinate (common[X_AXIS], X_AXIS),
 481                 me->relative_coordinate (common[Y_AXIS], Y_AXIS));
 482
 483       controls = scm_cons (ly_offset2scm (o), controls);
 484     }
 485
 486   me->set_property ("control-points", controls);
 487 }
 488
 489
 490 Drul_array<Real>
 491 get_y_attachment_range (Spanner*me,
 492                         Grob **common,
 493                         Drul_array<Bound_info> extremes,
 494                         Drul_array<Offset> base_attachment)
 495 {
 496   Drul_array<Real> end_ys;
 497   Direction dir = get_grob_direction (me);
 498   Direction d = LEFT;
 499   do
 500     {
 501       if (extremes[d].note_column_)
 502         {
 503           end_ys[d] = dir
 504             * ((dir * (base_attachment[d][Y_AXIS] + 4.0 * dir))
 505                >? (dir * (dir + extremes[d].note_column_->extent(common[Y_AXIS],
 506                                                                  Y_AXIS)[dir]))
 507                >? (dir * base_attachment[-d][Y_AXIS]));
 508         }
 509       else
 510         end_ys[d] = extremes[d].neighbor_y_ + 4.0 * dir;
 511     }
 512   while (flip (&d) != LEFT);
 513
 514   return end_ys;
 515 }
 516
 517 Drul_array<Offset>
 518 get_base_attachments (Spanner *me,
 519                       Grob **common, Drul_array<Bound_info> extremes)
 520 {
 521   Link_array<Grob> columns
 522     = Pointer_group_interface__extract_grobs (me, (Grob *)0, "note-columns");
 523   Drul_array<Offset> base_attachment;
 524   Slur_score_parameters params;
 525   Real staff_space = Staff_symbol_referencer::staff_space ((Grob*)me);
 526   Direction dir = get_grob_direction (me);
 527   Direction d = LEFT;
 528   do
 529     {
 530       Grob *stem = extremes[d].stem_;
 531       Grob *head = extremes[d].slur_head_;
 532
 533       Real x, y;
 534       if (!extremes[d].note_column_)
 535         {
 536           y = extremes[d].neighbor_y_;
 537           if (d== RIGHT)
 538             x = extremes[d].bound_->extent (common[X_AXIS], X_AXIS)[d];
 539           else
 540             x = me->get_broken_left_end_align ();
 541         }
 542       else
 543         {
 544           if (stem
 545               && extremes[d].stem_dir_ == dir
 546               && Stem::get_beaming (stem, -d)
 547               && columns.size () > 2
 548               )
 549             y = extremes[d].stem_extent_[Y_AXIS][dir];
 550           else if (head)
 551             y = head->extent (common[Y_AXIS], Y_AXIS)[dir];
 552           y += dir * 0.5 * staff_space;
 553
 554           if (stem)
 555             {
 556               SCM scripts = stem->get_property ((dir == UP
 557                                                  ? "script-up"
 558                                                  : "script-down"));
 559
 560               /* FIXME: number of scripts, height, priority?
 561                  articulation scripts should be inside slur, other,
 562                  such as dynamics, pedals, fingering, should be
 563                  outside.  */
 564               if (!SCM_NULLP (scripts))
 565                 y += dir * staff_space;
 566             }
 567
 568           Real pos
 569             = (y - extremes[d].staff_->relative_coordinate (common[Y_AXIS],
 570                                                             Y_AXIS))
 571             * 2.0 / Staff_symbol::staff_space (extremes[d].staff_);
 572
 573           /* start off staffline. */
 574           if (fabs (pos - round (pos)) < 0.2
 575               && Staff_symbol_referencer::on_staffline (head, (int) rint (pos))
 576               && Staff_symbol_referencer::line_count (head) - 1 >= rint (pos)
 577               )
 578             // TODO: calc from slur thick & line thick, parameter.
 579             y += 1.5 * staff_space * dir / 10;
 580
 581           Grob * fh = Note_column::first_head (extremes[d].note_column_);
 582           x = fh->extent (common[X_AXIS], X_AXIS).linear_combination (CENTER);
 583         }
 584       base_attachment[d] = Offset (x, y);
 585
 586     } while (flip (&d) != LEFT);
 587
 588   return base_attachment;
 589 }
 590
 591 void
 592 generate_curves (Grob *me, Grob **common,
 593                  Drul_array<Bound_info> extremes,
 594                  Drul_array<Offset>,
 595                  Array<Slur_score> *scores)
 596 {
 597   (void) common;
 598   (void) extremes;
 599   Real staff_space = Staff_symbol_referencer::staff_space ((Grob *) me);
 600   Real r_0 = robust_scm2double (me->get_property ("ratio"), 0.33);
 601   Real h_inf = staff_space * ly_scm2double (me->get_property ("height-limit"));
 602   for (int i = 0; i < scores->size(); i++)
 603     {
 604       Bezier bez= get_bezier (me, (*scores)[i].attachment_, r_0, h_inf);
 605       bez = avoid_staff_line (me, common, extremes, bez);
 606       (*scores)[i].attachment_[LEFT] = bez.control_[0];
 607       (*scores)[i].attachment_[RIGHT] = bez.control_[3];
 608       (*scores)[i].curve_ = bez;
 609     }
 610 }
 611
 612 Bezier
 613 avoid_staff_line (Grob *me, Grob **common,
 614                   Drul_array<Bound_info> extremes,
 615                   Bezier bez)
 616 {
 617   Offset horiz (1,0);
 618   Array<Real> ts  = bez.solve_derivative (horiz);
 619   Real lt =  me->get_paper ()->get_dimension (ly_symbol2scm ("linethickness"));
 620   Real thick = robust_scm2double (me->get_property ("thickness"), 1.0) *  lt;
 621
 622   /* TODO: handle case of broken slur.  */
 623   if (!ts.is_empty ()
 624       && (extremes[LEFT].staff_ == extremes[RIGHT].staff_)
 625       && extremes[LEFT].staff_ && extremes[RIGHT].staff_)
 626     {
 627       Real y = bez.curve_point (ts[0])[Y_AXIS];
 628
 629       Grob *staff = extremes[LEFT].staff_;
 630
 631       Real staff_space = extremes[LEFT].staff_space_;
 632       Real p = 2 * (y - staff->relative_coordinate (common[Y_AXIS], Y_AXIS))
 633         / staff_space;
 634
 635       Real distance = fabs (round (p) - p);     //  in halfspaces
 636       if (distance < 4 * thick
 637           && (int) fabs (round (p))
 638           <= 2 * Staff_symbol_referencer::staff_radius (staff) + 0.1
 639           && (int (fabs (round (p))) % 2
 640               != Staff_symbol_referencer::line_count (staff) % 2))
 641         {
 642           Direction resolution_dir =
 643             (distance ?  get_grob_direction (me) : Direction (sign (p - round(p))));
 644
 645           // TODO: parameter
 646           Real newp = round (p) + resolution_dir
 647             * 5 * thick;
 648
 649           Real dy = (newp - p) * staff_space / 2.0;
 650 #if 0
 651           bez.translate (Offset (0, dy));
 652 #else
 653           bez.control_[1][Y_AXIS] += dy;
 654           bez.control_[2][Y_AXIS] += dy;
 655
 656 #endif
 657         }
 658     }
 659   return bez;
 660 }
 661
 662 Array<Slur_score>
 663 enumerate_attachments (Grob *me, Grob **,
 664                        Slur_score_parameters *score_param,
 665                        Drul_array<Bound_info> extremes,
 666                        Drul_array<Offset> base_attachment,
 667                        Drul_array<Real> end_ys)
 668 {
 669   /*ugh.   */
 670   Array<Slur_score> scores;
 671
 672   Direction dir = get_grob_direction (me);
 673   Real staff_space = Staff_symbol_referencer::staff_space ((Grob *)me);
 674
 675   Drul_array<Offset> os;
 676   os[LEFT] = base_attachment[LEFT];
 677   Real minimum_length = staff_space
 678     * robust_scm2double (me->get_property ("minimum-length"), 2.0);
 679
 680   for (int i = 0; dir * os[LEFT][Y_AXIS] <= dir * end_ys[LEFT]; i++)
 681     {
 682       os[RIGHT] = base_attachment[RIGHT];
 683       for (int j = 0; dir * os[RIGHT][Y_AXIS] <= dir * end_ys[RIGHT]; j++)
 684         {
 685           Slur_score s;
 686           Direction d = LEFT;
 687           Drul_array<bool> attach_to_stem (false, false);
 688           do {
 689             os[d][X_AXIS] = base_attachment[d][X_AXIS];
 690             if (extremes[d].stem_
 691                 && !Stem::is_invisible (extremes[d].stem_)
 692                 && extremes[d].stem_dir_ == dir
 693                 && dir == -d)
 694               {
 695                 if (extremes[d].stem_extent_[Y_AXIS].contains (os[d][Y_AXIS]))
 696                   {
 697                     os[d][X_AXIS] =  extremes[d].slur_head_extent_[-d]
 698                       - d * 0.3;
 699                     attach_to_stem[d] = true;
 700                   }
 701                 else if (dir *extremes[d].stem_extent_[Y_AXIS][dir] < dir * os[d][Y_AXIS])
 702                   {
 703                     os[d][X_AXIS] = extremes[d].stem_extent_[X_AXIS].center();
 704                   }
 705               }
 706           } while (flip (&d) != LEFT);
 707
 708           Offset dz;
 709           dz = os[RIGHT] - os[LEFT];
 710           if (dz[X_AXIS] < minimum_length
 711               || fabs (dz[Y_AXIS] / dz[X_AXIS]) > score_param->MAX_SLOPE
 712               )
 713             {
 714               do
 715                 {
 716                   if (extremes[d].slur_head_)
 717                     {
 718                       os[d][X_AXIS] = extremes[d].slur_head_extent_.center ();
 719                       attach_to_stem[d] = false;
 720                     }
 721                 }
 722               while (flip (&d) != LEFT);
 723             }
 724
 725           dz = os[RIGHT] - os[LEFT];
 726           do {
 727             if (extremes[d].slur_head_
 728                 && !attach_to_stem[d])
 729               {
 730                 /*
 731                   horizontally move tilted slurs a little. Move more
 732                   for bigger tilts.
 733
 734                   TODO: parameter
 735                 */
 736                 os[d][X_AXIS] -=
 737                   dir * extremes[d].slur_head_extent_.length () * sin (dz.arg  ()) / 3;
 738               }
 739           } while (flip (&d) != LEFT);
 740
 741           s.attachment_ = os;
 742           scores.push (s);
 743
 744           os[RIGHT][Y_AXIS] += dir * staff_space / 2;
 745         }
 746
 747       os[LEFT][Y_AXIS] += dir * staff_space / 2;
 748     }
 749
 750   return scores;
 751 }
 752
 753 void
 754 score_encompass (Grob *me, Grob *common[],
 755                  Slur_score_parameters *score_param,
 756                  Drul_array<Bound_info> ,
 757                  Drul_array<Offset> ,
 758                  Array<Slur_score> * scores)
 759 {
 760   Link_array<Grob> encompasses
 761     = Pointer_group_interface__extract_grobs (me, (Grob *)0, "note-columns");
 762   Direction dir = get_grob_direction (me);
 763
 764   Array<Encompass_info> infos;
 765
 766   for (int i = 0; i < encompasses.size(); i++)
 767     infos.push (get_encompass_info (me, encompasses[i], common));
 768
 769   for (int i = 0; i < scores->size (); i++)
 770     {
 771       Bezier const &bez (scores->elem (i).curve_);
 772       Real demerit = 0.0;
 773       for (int j = 0; j < infos.size(); j++)
 774         {
 775           Real x = infos[j].x_;
 776
 777           bool l_edge = j==0;
 778           bool r_edge = j==infos.size()-1;
 779           bool edge =  l_edge || r_edge;
 780
 781           if (!(x < scores->elem (i).attachment_[RIGHT][X_AXIS]
 782                 && x > scores->elem (i).attachment_[LEFT][X_AXIS]))
 783             continue;
 784
 785           Real y = bez.get_other_coordinate (X_AXIS, x);
 786           if (!edge)
 787             {
 788               Real head_dy = (y - infos[j].head_);
 789               if (dir * head_dy < 0)
 790                 demerit += score_param->HEAD_ENCOMPASS_PENALTY;
 791               else
 792                 {
 793                   Real hd = (head_dy)
 794                     ? (1 / fabs (head_dy) - 1 / score_param->FREE_HEAD_DISTANCE)
 795                     : score_param->HEAD_ENCOMPASS_PENALTY;
 796                   hd = (hd >? 0)<? score_param->HEAD_ENCOMPASS_PENALTY;
 797
 798                   demerit += hd;
 799                 }
 800             }
 801
 802           if (dir * (y - infos[j].stem_) < 0)
 803             {
 804               Real stem_dem =score_param->STEM_ENCOMPASS_PENALTY ;
 805               if ((l_edge && dir == UP)
 806                   || (r_edge && dir == DOWN))
 807                 {
 808                   stem_dem /= 5;
 809                 }
 810
 811               demerit +=  stem_dem;
 812             }
 813           else if (!edge)
 814             {
 815               Interval ext;
 816               ext.add_point (infos[j].stem_);
 817               ext.add_point (infos[j].head_);
 818
 819               demerit += - score_param->CLOSENESS_FACTOR * (dir * (y - (ext[dir] + dir * score_param->FREE_HEAD_DISTANCE)) <? 0) /
 820                 infos.size ();
 821             }
 822         }
 823
 824 #if DEBUG_SLUR_QUANTING
 825       (*scores)[i].score_card_ += to_string ("C%.2f", demerit);
 826 #endif
 827
 828       (*scores)[i].score_ += demerit;
 829     }
 830 }
 831
 832
 833
 834 void
 835 score_extra_encompass (Grob *me, Grob *common[],
 836                  Slur_score_parameters *score_param,
 837                  Drul_array<Bound_info> ,
 838                  Drul_array<Offset> ,
 839                  Array<Slur_score> * scores)
 840 {
 841   Link_array<Grob> encompasses
 842     = Pointer_group_interface__extract_grobs (me, (Grob *)0, "encompass-objects");
 843   Direction dir = get_grob_direction (me);
 844  Real lt =  me->get_paper ()->get_dimension (ly_symbol2scm ("linethickness"));
 845   Real thick = robust_scm2double (me->get_property ("thickness"), 1.0) *  lt;
 846
 847
 848   Array<Real> xs;
 849   Array<Interval> yexts;
 850   for (int i = 0; i < encompasses.size(); i++)
 851     {
 852       Grob *g = encompasses [i];
 853       Interval xe = g->extent (common[X_AXIS], X_AXIS);
 854       Interval ye = g->extent (common[Y_AXIS], Y_AXIS);
 855
 856       Real xp = 0.0;
 857
 858       if (Accidental_interface::has_interface (g))
 859         {
 860           /*
 861             C&P accidental.cc
 862            */
 863           bool parens = false;
 864           if (to_boolean (g->get_property ("cautionary")))
 865             {
 866               SCM cstyle = g->get_property ("cautionary-style");
 867               parens = ly_c_equal_p (cstyle, ly_symbol2scm ("parentheses"));
 868
 869             }
 870
 871           SCM accs = g->get_property ("accidentals");
 872           SCM scm_style = g->get_property ("style");
 873           if (!ly_c_symbol_p (scm_style)
 874               && !parens
 875               && scm_ilength (accs) == 1)
 876             {
 877               switch (ly_scm2int (ly_car (accs))) {
 878               case FLAT:
 879               case DOUBLE_FLAT:
 880                 xp = LEFT;
 881               case SHARP:
 882                 xp = 0.5* dir;
 883               case NATURAL:
 884                 xp = -dir;
 885               }
 886             }
 887
 888         }
 889       xs.push (xe.linear_combination (xp));
 890       ye.widen (.5 * thick);
 891       yexts.push (ye);
 892     }
 893
 894   for (int i = 0; i < scores->size (); i++)
 895     {
 896       Bezier const &bez (scores->elem (i).curve_);
 897       Real demerit = 0.0;
 898       for (int j = 0; j < xs.size(); j++)
 899         {
 900           Real x = xs[j];
 901           if (!(x < scores->elem (i).attachment_[RIGHT][X_AXIS]
 902                 && x > scores->elem (i).attachment_[LEFT][X_AXIS]))
 903             continue;
 904
 905           Real y = bez.get_other_coordinate (X_AXIS, x);
 906
 907           if (yexts[j].contains (y))
 908             {
 909               if (Accidental_interface::has_interface (encompasses[j]))
 910                 demerit += score_param->ACCIDENTAL_COLLISION;
 911               else
 912                 demerit += score_param->EXTRA_OBJECT_COLLISION;
 913             }
 914         }
 915
 916 #if DEBUG_SLUR_QUANTING
 917       (*scores)[i].score_card_ += to_string ("X%.2f", demerit);
 918 #endif
 919       (*scores)[i].score_ += demerit;
 920     }
 921 }
 922
 923
 924 void
 925 score_edges (Grob *me, Grob **,
 926              Slur_score_parameters * score_param,
 927              Drul_array<Bound_info> extremes,
 928              Drul_array<Offset> base_attach,
 929              Array<Slur_score> *scores)
 930 {
 931   Direction dir = get_grob_direction (me);
 932
 933   for (int i = 0; i < scores->size (); i++)
 934     {
 935
 936       Direction d = LEFT;
 937       do {
 938         Real y = scores->elem (i).attachment_[d][Y_AXIS];
 939         Real dy = fabs (y - base_attach[d][Y_AXIS]);
 940
 941         Real factor = score_param->EDGE_ATTRACTION_FACTOR;
 942         Real demerit = factor * dy;
 943         if (extremes[d].stem_
 944             && extremes[d].stem_dir_ == dir
 945             && !Stem::get_beaming (extremes[d].stem_, -d)
 946             )
 947           demerit /= 5;
 948
 949         (*scores)[i].score_ += demerit;
 950 #if DEBUG_SLUR_QUANTING
 951         (*scores)[i].score_card_ += to_string ("E%.2f", demerit);
 952 #endif
 953       } while (flip (&d) != LEFT);
 954     }
 955 }
 956
 957 void
 958 score_slopes (Grob *me, Grob *common[],
 959               Slur_score_parameters*score_param,
 960               Drul_array<Bound_info> extremes,
 961               Drul_array<Offset> ,
 962               Array<Slur_score> * scores)
 963 {
 964   Drul_array<Real> ys;
 965
 966   Direction d = LEFT;
 967   do {
 968     if (extremes[d].slur_head_)
 969       ys[d] = extremes[d].slur_head_ ->relative_coordinate (common[Y_AXIS],
 970                                                             Y_AXIS);
 971     else
 972       ys[d] = extremes[d].neighbor_y_;
 973   } while (flip (&d) != LEFT);
 974
 975   bool has_beams
 976     = (extremes[LEFT].stem_ && Stem::get_beam (extremes[LEFT].stem_))
 977     || (extremes[RIGHT].stem_ && Stem::get_beam (extremes[RIGHT].stem_));
 978
 979   Direction dir = get_grob_direction (me);
 980   Real dy = ys[RIGHT] - ys[LEFT];
 981   for (int i = 0; i < scores->size (); i++)
 982     {
 983       Offset slur_dz = (*scores)[i].attachment_[RIGHT]
 984         -  (*scores)[i].attachment_[LEFT];
 985       Real slur_dy = slur_dz[Y_AXIS];
 986       Real demerit = 0.0;
 987
 988       demerit += ((fabs (slur_dy/slur_dz[X_AXIS])
 989                    - score_param->MAX_SLOPE) >? 0)
 990         * score_param->MAX_SLOPE_FACTOR;
 991
 992       /*
 993         0.2: account for staffline offset.
 994       */
 995       Real max_dy = (fabs (dy) + 0.2);
 996       if (has_beams)
 997         max_dy += 1.0;
 998
 999       demerit += score_param->STEEPER_SLOPE_FACTOR * ((fabs (slur_dy) -max_dy) >? 0);
1000
1001
1002       demerit += ((fabs (slur_dy/slur_dz[X_AXIS]) - score_param->MAX_SLOPE)>?0)  * score_param->MAX_SLOPE_FACTOR;
1003
1004       if (sign (dy) == 0 &&
1005           sign (slur_dy) != 0)
1006         demerit += score_param->NON_HORIZONTAL_PENALTY;
1007
1008       if (sign (dy)
1009           && sign (slur_dy)
1010           && sign (slur_dy) != sign (dy))
1011         demerit += has_beams
1012           ? score_param->SAME_SLOPE_PENALTY / 10
1013           : score_param->SAME_SLOPE_PENALTY;
1014
1015 #if DEBUG_SLUR_QUANTING
1016       (*scores)[i].score_card_ += to_string ("S%.2f",d);
1017 #endif
1018       (*scores)[i].score_ += demerit;
1019     }
1020 }
1021
1022