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1 /*
2   This file is part of LilyPond, the GNU music typesetter.
3
4   Copyright (C) 1996--2015 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 "warn.hh"
46
47 /*
48   TODO:
49
50   - curve around flag for y coordinate
51
52   - short-cut: try a smaller region first.
53
54   - handle non-visible stems better.
55
56   - try to prune number of scoring criteria
57
58   - take encompass-objects more into account when determining
59   slur shape
60
61   - calculate encompass scoring directly after determining slur shape.
62
63   - optimize.
64 */
65 struct Slur_score_state;
66
67 Slur_score_state::Slur_score_state ()
68 {
69   musical_dy_ = 0.0;
70   valid_ = false;
71   edge_has_beams_ = false;
72   has_same_beam_ = false;
73   is_broken_ = false;
74   dir_ = CENTER;
75   slur_ = 0;
76   common_[X_AXIS] = 0;
77   common_[Y_AXIS] = 0;
78 }
79
80 Slur_score_state::~Slur_score_state ()
81 {
82   junk_pointers (configurations_);
83 }
84
85 /*
86   If a slur is broken across a line break, the direction
87   of the post-break slur must be the same as the pre-break
88   slur.
89 */
90 Direction
91 Slur_score_state::slur_direction () const
92 {
93   Grob *left_neighbor = slur_->broken_neighbor (LEFT);
94
95   if (left_neighbor && left_neighbor->is_live ())
96     return get_grob_direction (left_neighbor);
97
98   Direction dir = get_grob_direction (slur_);
99
100   if (Grob *right_neighbor = slur_->broken_neighbor (RIGHT))
101     set_grob_direction (right_neighbor, dir);
102
103   return dir;
104 }
105
106 Encompass_info
107 Slur_score_state::get_encompass_info (Grob *col) const
108 {
109   Grob *stem = unsmob<Grob> (col->get_object ("stem"));
110   Encompass_info ei;
111
112   if (!stem)
113     {
114       programming_error ("no stem for note column");
115       ei.x_ = col->relative_coordinate (common_[X_AXIS], X_AXIS);
116       ei.head_ = ei.stem_ = col->extent (common_[Y_AXIS],
117                                          Y_AXIS)[dir_];
118       return ei;
119     }
120   Direction stem_dir = get_grob_direction (stem);
121
122   if (Grob *head = Note_column::first_head (col))
123     ei.x_ = head->extent (common_[X_AXIS], X_AXIS).center ();
124   else
125     ei.x_ = col->extent (common_[X_AXIS], X_AXIS).center ();
126
127   Grob *h = Stem::extremal_heads (stem)[Direction (dir_)];
128   if (!h)
129     {
130       ei.head_ = ei.stem_ = col->extent (common_[Y_AXIS], Y_AXIS)[dir_];
131       return ei;
132     }
133
134   ei.head_ = h->extent (common_[Y_AXIS], Y_AXIS)[dir_];
135
136   if ((stem_dir == dir_)
137       && !stem->extent (stem, Y_AXIS).is_empty ())
138     {
139       ei.stem_ = stem->extent (common_[Y_AXIS], Y_AXIS)[dir_];
140       if (Grob *b = Stem::get_beam (stem))
141         ei.stem_ += stem_dir * 0.5 * Beam::get_beam_thickness (b);
142
143       Interval x = stem->extent (common_[X_AXIS], X_AXIS);
144       ei.x_ = x.is_empty ()
145               ? stem->relative_coordinate (common_[X_AXIS], X_AXIS)
146               : x.center ();
147     }
148   else
149     ei.stem_ = ei.head_;
150
151   return ei;
152 }
153
154 Drul_array<Bound_info>
155 Slur_score_state::get_bound_info () const
156 {
157   Drul_array<Bound_info> extremes;
158
159   Direction dir = dir_;
160
161   for (LEFT_and_RIGHT (d))
162     {
163       extremes[d].bound_ = slur_->get_bound (d);
164       if (has_interface<Note_column> (extremes[d].bound_))
165         {
166           extremes[d].note_column_ = extremes[d].bound_;
167           extremes[d].stem_ = Note_column::get_stem (extremes[d].note_column_);
168           extremes[d].flag_ = Note_column::get_flag (extremes[d].note_column_);
169
170           if (extremes[d].stem_)
171             {
172               extremes[d].stem_dir_ = get_grob_direction (extremes[d].stem_);
173
174               for (int a = X_AXIS; a < NO_AXES; a++)
175                 {
176                   Axis ax = Axis (a);
177                   Interval s = extremes[d].stem_->extent (common_[ax], ax);
178                   if (extremes[d].flag_)
179                     s.unite (extremes[d].flag_->extent (common_[ax], ax));
180                   if (s.is_empty ())
181                     {
182                       /*
183                         do not issue warning. This happens for rests and
184                         whole notes.
185                       */
186                       s = Interval (0, 0)
187                           + extremes[d].stem_->relative_coordinate (common_[ax], ax);
188                     }
189                   extremes[d].stem_extent_[ax] = s;
190                 }
191
192               extremes[d].slur_head_
193                 = Stem::extremal_heads (extremes[d].stem_)[dir];
194               if (!extremes[d].slur_head_
195                   && Note_column::has_rests (extremes[d].bound_))
196                 extremes[d].slur_head_ = Note_column::get_rest (extremes[d].bound_);
197               extremes[d].staff_ = Staff_symbol_referencer
198                                    ::get_staff_symbol (extremes[d].stem_);
199               extremes[d].staff_space_ = Staff_symbol_referencer
200                                          ::staff_space (extremes[d].stem_);
201             }
202
203           if (extremes[d].slur_head_)
204             extremes[d].slur_head_x_extent_
205               = extremes[d].slur_head_->extent (common_[X_AXIS], X_AXIS);
206
207         }
208     }
209
210   return extremes;
211 }
212
213 void
214 Slur_score_state::fill (Grob *me)
215 {
216   slur_ = dynamic_cast<Spanner *> (me);
217   columns_
218     = internal_extract_grob_array (me, ly_symbol2scm ("note-columns"));
219
220   if (columns_.empty ())
221     {
222       me->suicide ();
223       return;
224     }
225
226   Slur::replace_breakable_encompass_objects (me);
227   staff_space_ = Staff_symbol_referencer::staff_space (me);
228   line_thickness_ = me->layout ()->get_dimension (ly_symbol2scm ("line-thickness"));
229   thickness_ = robust_scm2double (me->get_property ("thickness"), 1.0) * line_thickness_;
230
231   dir_ = slur_direction ();
232   parameters_.fill (me);
233
234   extract_grob_set (me, "note-columns", columns);
235   extract_grob_set (me, "encompass-objects", extra_objects);
236
237   Spanner *sp = dynamic_cast<Spanner *> (me);
238
239   for (int i = X_AXIS; i < NO_AXES; i++)
240     {
241       Axis a = (Axis)i;
242       common_[a] = common_refpoint_of_array (columns, me, a);
243       common_[a] = common_refpoint_of_array (extra_objects, common_[a], a);
244
245       for (LEFT_and_RIGHT (d))
246         {
247           /*
248             If bound is not in note-columns, we don't want to know about
249             its Y-position
250           */
251           if (a != Y_AXIS)
252             common_[a] = common_[a]->common_refpoint (sp->get_bound (d), a);
253         }
254     }
255
256   extremes_ = get_bound_info ();
257   is_broken_ = (!extremes_[LEFT].note_column_
258                 || !extremes_[RIGHT].note_column_);
259
260   has_same_beam_
261     = (extremes_[LEFT].stem_ && extremes_[RIGHT].stem_
262        && Stem::get_beam (extremes_[LEFT].stem_) == Stem::get_beam (extremes_[RIGHT].stem_));
263
264   base_attachments_ = get_base_attachments ();
265
266   Drul_array<Real> end_ys
267     = get_y_attachment_range ();
268
269   extra_encompass_infos_ = get_extra_encompass_infos ();
270
271   Interval additional_ys (0.0, 0.0);
272
273   for (vsize i = 0; i < extra_encompass_infos_.size (); i++)
274     {
275       if (extra_encompass_infos_[i].extents_[X_AXIS].is_empty ())
276         continue;
277
278       Real y_place = linear_interpolate (extra_encompass_infos_[i].extents_[X_AXIS].center (),
279                                          base_attachments_[RIGHT][X_AXIS],
280                                          base_attachments_[LEFT][X_AXIS],
281                                          end_ys[RIGHT],
282                                          end_ys[LEFT]);
283       Real encompass_place = extra_encompass_infos_[i].extents_[Y_AXIS][dir_];
284       if (scm_is_eq (extra_encompass_infos_[i].type_,
285                      ly_symbol2scm ("inside"))
286           && minmax (dir_, encompass_place, y_place) == encompass_place
287           && (!extra_encompass_infos_[i].grob_->internal_has_interface (ly_symbol2scm ("key-signature-interface"))
288               && !has_interface<Clef> (extra_encompass_infos_[i].grob_)
289               && !extra_encompass_infos_[i].grob_->internal_has_interface (ly_symbol2scm ("time-signature-interface"))))
290         {
291           for (LEFT_and_RIGHT (d))
292             additional_ys[d] = minmax (dir_,
293                                        additional_ys[d],
294                                        (dir_
295                                         * (parameters_.encompass_object_range_overshoot_
296                                            + (y_place - encompass_place)
297                                            * (normalize (extra_encompass_infos_[i].extents_[X_AXIS].center (),
298                                                          base_attachments_[RIGHT][X_AXIS],
299                                                          base_attachments_[LEFT][X_AXIS])
300                                               + (dir_ == LEFT ? 0 : -1)))));
301         }
302     }
303
304   for (LEFT_and_RIGHT (d))
305     end_ys[d] += additional_ys[d];
306
307   configurations_ = enumerate_attachments (end_ys);
308   for (vsize i = 0; i < columns_.size (); i++)
309     encompass_infos_.push_back (get_encompass_info (columns_[i]));
310
311   valid_ = true;
312
313   musical_dy_ = 0.0;
314   for (LEFT_and_RIGHT (d))
315     {
316       if (!is_broken_
317           && extremes_[d].slur_head_)
318         musical_dy_ += d
319                        * extremes_[d].slur_head_->relative_coordinate (common_[Y_AXIS], Y_AXIS);
320     }
321
322   edge_has_beams_
323     = (extremes_[LEFT].stem_ && Stem::get_beam (extremes_[LEFT].stem_))
324       || (extremes_[RIGHT].stem_ && Stem::get_beam (extremes_[RIGHT].stem_));
325
326   if (is_broken_)
327     musical_dy_ = 0.0;
328 }
329
330 MAKE_SCHEME_CALLBACK (Slur, calc_control_points, 1)
331 SCM
332 Slur::calc_control_points (SCM smob)
333 {
334   Spanner *me = unsmob<Spanner> (smob);
335
336   Slur_score_state state;
337   state.fill (me);
338
339   if (!state.valid_)
340     return SCM_EOL;
341
342   state.generate_curves ();
343
344   SCM end_ys = me->get_property ("positions");
345   SCM inspect_quants = me->get_property ("inspect-quants");
346   bool debug_slurs = to_boolean (me->layout ()
347                                  ->lookup_variable (ly_symbol2scm ("debug-slur-scoring")));
348
349   if (is_number_pair (inspect_quants))
350     {
351       debug_slurs = true;
352       end_ys = inspect_quants;
353     }
354
355   Slur_configuration *best = NULL;
356   if (is_number_pair (end_ys))
357     best = state.get_forced_configuration (ly_scm2interval (end_ys));
358   else
359     best = state.get_best_curve ();
360
361 #if DEBUG_SLUR_SCORING
362   if (debug_slurs)
363     {
364       string total = best->card ();
365       total += to_string (" TOTAL=%.2f idx=%d", best->score (), best->index_);
366       me->set_property ("annotation", ly_string2scm (total));
367     }
368 #endif
369
370   SCM controls = SCM_EOL;
371   for (int i = 4; i--;)
372     {
373       Offset o = best->curve_.control_[i]
374                  - Offset (me->relative_coordinate (state.common_[X_AXIS], X_AXIS),
375                            me->relative_coordinate (state.common_[Y_AXIS], Y_AXIS));
376       controls = scm_cons (ly_offset2scm (o), controls);
377     }
378
379   return controls;
380 }
381
382 Slur_configuration *
383 Slur_score_state::get_forced_configuration (Interval ys) const
384 {
385   Slur_configuration *best = NULL;
386   Real mindist = 1e6;
387   for (vsize i = 0; i < configurations_.size (); i++)
388     {
389       Real d = fabs (configurations_[i]->attachment_[LEFT][Y_AXIS] - ys[LEFT])
390                + fabs (configurations_[i]->attachment_[RIGHT][Y_AXIS] - ys[RIGHT]);
391       if (d < mindist)
392         {
393           best = configurations_[i];
394           mindist = d;
395         }
396     }
397
398   while (!best->done ())
399     best->run_next_scorer (*this);
400
401   if (mindist > 1e5)
402     programming_error ("cannot find quant");
403
404   return best;
405 }
406
407 Slur_configuration *
408 Slur_score_state::get_best_curve () const
409 {
410   std::priority_queue < Slur_configuration *, std::vector<Slur_configuration *>,
411       Slur_configuration_less > queue;
412   for (vsize i = 0; i < configurations_.size (); i++)
413     queue.push (configurations_[i]);
414
415   Slur_configuration *best = NULL;
416   while (true)
417     {
418       best = queue.top ();
419       if (best->done ())
420         break;
421
422       queue.pop ();
423       best->run_next_scorer (*this);
424       queue.push (best);
425     }
426
427   return best;
428 }
429
430 Interval
431 Slur_score_state::breakable_bound_extent (Direction d) const
432 {
433   Grob *col = slur_->get_bound (d)->get_column ();
434   Interval ret;
435   ret.set_empty ();
436
437   extract_grob_set (slur_, "encompass-objects", extra_encompasses);
438
439   for (vsize i = 0; i < extra_encompasses.size (); i++)
440     {
441       Item *item = dynamic_cast<Item *> (extra_encompasses[i]);
442       if (item && col == item->get_column ())
443         ret.unite (robust_relative_extent (item, common_[X_AXIS], X_AXIS));
444     }
445
446   return ret;
447 }
448
449 /*
450   TODO: should analyse encompasses to determine sensible region, and
451   should limit slopes available.
452 */
453
454 Drul_array<Real>
455 Slur_score_state::get_y_attachment_range () const
456 {
457   Drul_array<Real> end_ys;
458   for (LEFT_and_RIGHT (d))
459     {
460       if (extremes_[d].note_column_)
461         {
462           Interval nc_extent = extremes_[d].note_column_
463                                ->extent (common_[Y_AXIS], Y_AXIS);
464           if (nc_extent.is_empty ())
465             slur_->warning ("slur trying to encompass an empty note column.");
466           else
467             end_ys[d] = dir_
468                         * max (max (dir_ * (base_attachments_[d][Y_AXIS]
469                                             + parameters_.region_size_ * dir_),
470                                     dir_ * (dir_ + nc_extent[dir_])),
471                                dir_ * base_attachments_[-d][Y_AXIS]);
472         }
473       else
474         end_ys[d] = base_attachments_[d][Y_AXIS] + parameters_.region_size_ * dir_;
475     }
476
477   return end_ys;
478 }
479
480 bool
481 spanner_less (Spanner *s1, Spanner *s2)
482 {
483   Slice b1, b2;
484   for (LEFT_and_RIGHT (d))
485     {
486       b1[d] = s1->get_bound (d)->get_column ()->get_rank ();
487       b2[d] = s2->get_bound (d)->get_column ()->get_rank ();
488     }
489
490   return b2[LEFT] <= b1[LEFT] && b2[RIGHT] >= b1[RIGHT]
491          && (b2[LEFT] != b1[LEFT] || b2[RIGHT] != b1[RIGHT]);
492 }
493
494 Drul_array<Offset>
495 Slur_score_state::get_base_attachments () const
496 {
497   Drul_array<Offset> base_attachment;
498   for (LEFT_and_RIGHT (d))
499     {
500       Grob *stem = extremes_[d].stem_;
501       Grob *head = extremes_[d].slur_head_;
502
503       Real x = 0.0;
504       Real y = 0.0;
505       if (extremes_[d].note_column_)
506         {
507
508           /*
509             fixme: X coord should also be set in this case.
510           */
511           if (stem
512               && !Stem::is_invisible (stem)
513               && extremes_[d].stem_dir_ == dir_
514               && Stem::get_beaming (stem, -d)
515               && Stem::get_beam (stem)
516               && (!spanner_less (slur_, Stem::get_beam (stem))
517                   || has_same_beam_))
518             y = extremes_[d].stem_extent_[Y_AXIS][dir_];
519           else if (head)
520             y = head->extent (common_[Y_AXIS], Y_AXIS)[dir_];
521           y += dir_ * 0.5 * staff_space_;
522
523           y = move_away_from_staffline (y, head);
524
525           Grob *fh = Note_column::first_head (extremes_[d].note_column_);
526           x
527             = (fh ? fh->extent (common_[X_AXIS], X_AXIS)
528                : extremes_[d].bound_->extent (common_[X_AXIS], X_AXIS))
529               .linear_combination (CENTER);
530         }
531       base_attachment[d] = Offset (x, y);
532     }
533
534   for (LEFT_and_RIGHT (d))
535     {
536       if (!extremes_[d].note_column_)
537         {
538           Real x = 0;
539           Real y = 0;
540
541           Interval ext = breakable_bound_extent (d);
542           if (ext.is_empty ())
543             ext = Axis_group_interface::
544                   generic_bound_extent (extremes_[d].bound_,
545                                         common_[X_AXIS], X_AXIS);
546           x = ext[-d];
547
548           Grob *col = (d == LEFT) ? columns_[0] : columns_.back ();
549
550           if (extremes_[-d].bound_ != col)
551             {
552               y = robust_relative_extent (col, common_[Y_AXIS], Y_AXIS)[dir_];
553               y += dir_ * 0.5 * staff_space_;
554
555               if (get_grob_direction (col) == dir_
556                   && Note_column::get_stem (col)
557                   && !Stem::is_invisible (Note_column::get_stem (col)))
558                 y -= dir_ * 1.5 * staff_space_;
559             }
560           else
561             y = base_attachment[-d][Y_AXIS];
562
563           y = move_away_from_staffline (y, col);
564
565           base_attachment[d] = Offset (x, y);
566         }
567     }
568
569   for (LEFT_and_RIGHT (d))
570     {
571       for (int a = X_AXIS; a < NO_AXES; a++)
572         {
573           Real &b = base_attachment[d][Axis (a)];
574
575           if (isinf (b) || isnan (b))
576             {
577               programming_error ("slur attachment is inf/nan");
578               b = 0.0;
579             }
580         }
581     }
582
583   return base_attachment;
584 }
585
586 Real
587 Slur_score_state::move_away_from_staffline (Real y,
588                                             Grob *on_staff) const
589 {
590   if (!on_staff)
591     return y;
592
593   Grob *staff_symbol = Staff_symbol_referencer::get_staff_symbol (on_staff);
594   if (!staff_symbol)
595     return y;
596
597   Real pos
598     = (y - staff_symbol->relative_coordinate (common_[Y_AXIS],
599                                               Y_AXIS))
600       * 2.0 / staff_space_;
601
602   if (fabs (pos - my_round (pos)) < 0.2
603       && Staff_symbol_referencer::on_staff_line (on_staff, (int) rint (pos)))
604     y += 1.5 * staff_space_ * dir_ / 10;
605
606   return y;
607 }
608
609 vector<Offset>
610 Slur_score_state::generate_avoid_offsets () const
611 {
612   vector<Offset> avoid;
613   vector<Grob *> encompasses = columns_;
614
615   for (vsize i = 0; i < encompasses.size (); i++)
616     {
617       if (extremes_[LEFT].note_column_ == encompasses[i]
618           || extremes_[RIGHT].note_column_ == encompasses[i])
619         continue;
620
621       Encompass_info inf (get_encompass_info (encompasses[i]));
622       Real y = dir_ * (max (dir_ * inf.head_, dir_ * inf.stem_));
623
624       avoid.push_back (Offset (inf.x_, y + dir_ * parameters_.free_head_distance_));
625     }
626
627   extract_grob_set (slur_, "encompass-objects", extra_encompasses);
628   for (vsize i = 0; i < extra_encompasses.size (); i++)
629     {
630       if (has_interface<Slur> (extra_encompasses[i]))
631         {
632           Grob *small_slur = extra_encompasses[i];
633           Bezier b = Slur::get_curve (small_slur);
634
635           Offset z = b.curve_point (0.5);
636           z += Offset (small_slur->relative_coordinate (common_[X_AXIS], X_AXIS),
637                        small_slur->relative_coordinate (common_[Y_AXIS], Y_AXIS));
638
639           z[Y_AXIS] += dir_ * parameters_.free_slur_distance_;
640           avoid.push_back (z);
641         }
642       else if (scm_is_eq (extra_encompasses[i]->get_property ("avoid-slur"),
643                           ly_symbol2scm ("inside")))
644         {
645           Grob *g = extra_encompasses [i];
646           Interval xe = g->extent (common_[X_AXIS], X_AXIS);
647           Interval ye = g->extent (common_[Y_AXIS], Y_AXIS);
648
649           if (!xe.is_empty ()
650               && !ye.is_empty ())
651             avoid.push_back (Offset (xe.center (), ye[dir_]));
652         }
653     }
654   return avoid;
655 }
656
657 void
658 Slur_score_state::generate_curves () const
659 {
660   Real r_0 = robust_scm2double (slur_->get_property ("ratio"), 0.33);
661   Real h_inf = staff_space_ * scm_to_double (slur_->get_property ("height-limit"));
662
663   vector<Offset> avoid = generate_avoid_offsets ();
664   for (vsize i = 0; i < configurations_.size (); i++)
665     configurations_[i]->generate_curve (*this, r_0, h_inf, avoid);
666 }
667
668 vector<Slur_configuration *>
669 Slur_score_state::enumerate_attachments (Drul_array<Real> end_ys) const
670 {
671   vector<Slur_configuration *> scores;
672
673   Drul_array<Offset> os;
674   os[LEFT] = base_attachments_[LEFT];
675   Real minimum_length = staff_space_
676                         * robust_scm2double (slur_->get_property ("minimum-length"), 2.0);
677
678   for (int i = 0; dir_ * os[LEFT][Y_AXIS] <= dir_ * end_ys[LEFT]; i++)
679     {
680       os[RIGHT] = base_attachments_[RIGHT];
681       for (int j = 0; dir_ * os[RIGHT][Y_AXIS] <= dir_ * end_ys[RIGHT]; j++)
682         {
683
684           Drul_array<bool> attach_to_stem (false, false);
685           for (LEFT_and_RIGHT (d))
686             {
687               os[d][X_AXIS] = base_attachments_[d][X_AXIS];
688               if (extremes_[d].stem_
689                   && !Stem::is_invisible (extremes_[d].stem_)
690                   && extremes_[d].stem_dir_ == dir_)
691                 {
692                   Interval stem_y = extremes_[d].stem_extent_[Y_AXIS];
693                   stem_y.widen (0.25 * staff_space_);
694                   if (stem_y.contains (os[d][Y_AXIS]))
695                     {
696                       os[d][X_AXIS] = extremes_[d].stem_extent_[X_AXIS][-d]
697                                       - d * 0.3;
698                       attach_to_stem[d] = true;
699                     }
700                   else if (dir_ * extremes_[d].stem_extent_[Y_AXIS][dir_]
701                            < dir_ * os[d][Y_AXIS]
702                            && !extremes_[d].stem_extent_[X_AXIS].is_empty ())
703
704                     os[d][X_AXIS] = extremes_[d].stem_extent_[X_AXIS].center ();
705                 }
706             }
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]) > parameters_.max_slope_)
712             {
713               for (LEFT_and_RIGHT (d))
714                 {
715                   if (extremes_[d].slur_head_
716                       && !extremes_[d].slur_head_x_extent_.is_empty ())
717                     {
718                       os[d][X_AXIS] = extremes_[d].slur_head_x_extent_.center ();
719                       attach_to_stem[d] = false;
720                     }
721                 }
722             }
723
724           dz = os[RIGHT] - os[LEFT];
725           for (LEFT_and_RIGHT (d))
726             {
727               if (extremes_[d].slur_head_
728                   && !attach_to_stem[d])
729                 {
730                   /* Horizontally move tilted slurs a little.  Move
731                      more for bigger tilts.
732
733                      TODO: parameter */
734                   os[d][X_AXIS]
735                   -= dir_ * extremes_[d].slur_head_x_extent_.length ()
736                      * sin (dz.arg ()) / 3;
737                 }
738             }
739
740           scores.push_back (Slur_configuration::new_config (os, scores.size ()));
741
742           os[RIGHT][Y_AXIS] += dir_ * staff_space_ / 2;
743         }
744
745       os[LEFT][Y_AXIS] += dir_ * staff_space_ / 2;
746     }
747
748   assert (scores.size () > 0);
749   return scores;
750 }
751
752 vector<Extra_collision_info>
753 Slur_score_state::get_extra_encompass_infos () const
754 {
755   extract_grob_set (slur_, "encompass-objects", encompasses);
756   vector<Extra_collision_info> collision_infos;
757   for (vsize i = encompasses.size (); i--;)
758     {
759       if (has_interface<Slur> (encompasses[i]))
760         {
761           Spanner *small_slur = dynamic_cast<Spanner *> (encompasses[i]);
762           Bezier b = Slur::get_curve (small_slur);
763
764           Offset relative (small_slur->relative_coordinate (common_[X_AXIS], X_AXIS),
765                            small_slur->relative_coordinate (common_[Y_AXIS], Y_AXIS));
766
767           for (int k = 0; k < 3; k++)
768             {
769               Direction hdir = Direction (k - 1);
770
771               /*
772                 Only take bound into account if small slur starts
773                 together with big slur.
774               */
775               if (hdir && small_slur->get_bound (hdir) != slur_->get_bound (hdir))
776                 continue;
777
778               Offset z = b.curve_point (k / 2.0);
779               z += relative;
780
781               Interval yext;
782               yext.set_full ();
783               yext[dir_] = z[Y_AXIS] + dir_ * thickness_ * 1.0;
784
785               Interval xext (-1, 1);
786               xext = xext * (thickness_ * 2) + z[X_AXIS];
787               Extra_collision_info info (small_slur,
788                                          hdir,
789                                          xext,
790                                          yext,
791                                          parameters_.extra_object_collision_penalty_);
792               collision_infos.push_back (info);
793             }
794         }
795       else
796         {
797           Grob *g = encompasses [i];
798           Interval xe = g->extent (common_[X_AXIS], X_AXIS);
799           Interval ye = g->extent (common_[Y_AXIS], Y_AXIS);
800           if (has_interface<Dots> (g))
801             ye.widen (0.2);
802
803           Real xp = 0.0;
804           Real penalty = parameters_.extra_object_collision_penalty_;
805           if (has_interface<Accidental_interface> (g))
806             {
807               penalty = parameters_.accidental_collision_;
808
809               Rational alt = ly_scm2rational (g->get_property ("alteration"));
810               SCM scm_style = g->get_property ("style");
811               if (!scm_is_symbol (scm_style)
812                   && !to_boolean (g->get_property ("parenthesized"))
813                   && !to_boolean (g->get_property ("restore-first")))
814                 {
815                   /* End copy accidental.cc */
816                   if (alt == FLAT_ALTERATION
817                       || alt == DOUBLE_FLAT_ALTERATION)
818                     xp = LEFT;
819                   else if (alt == SHARP_ALTERATION)
820                     xp = 0.5 * dir_;
821                   else if (alt == NATURAL_ALTERATION)
822                     xp = -dir_;
823                 }
824             }
825
826           ye.widen (thickness_ * 0.5);
827           xe.widen (thickness_ * 1.0);
828           Extra_collision_info info (g, xp, xe, ye, penalty);
829           collision_infos.push_back (info);
830         }
831     }
832
833   return collision_infos;
834 }
835
836 Extra_collision_info::Extra_collision_info (Grob *g, Real idx, Interval x, Interval y, Real p)
837 {
838   idx_ = idx;
839   extents_[X_AXIS] = x;
840   extents_[Y_AXIS] = y;
841   penalty_ = p;
842   grob_ = g;
843   type_ = g->get_property ("avoid-slur");
844 }
845
846 Extra_collision_info::Extra_collision_info ()
847 {
848   idx_ = 0.0;
849   penalty_ = 0.;
850   grob_ = 0;
851   type_ = SCM_EOL;
852 }