2 slur-configuration.cc -- implement Slur_configuration
4 source file of the GNU LilyPond music typesetter
6 (c) 2004--2006 Han-Wen Nienhuys <hanwen@xs4all.nl>
9 #include "slur-configuration.hh"
13 #include "libc-extension.hh"
15 #include "pointer-group-interface.hh"
16 #include "slur-scoring.hh"
19 #include "staff-symbol-referencer.hh"
24 avoid_staff_line (Slur_score_state const &state,
28 vector<Real> ts = bez.solve_derivative (horiz);
30 /* TODO: handle case of broken slur. */
32 && (state.extremes_[LEFT].staff_ == state.extremes_[RIGHT].staff_)
33 && state.extremes_[LEFT].staff_ && state.extremes_[RIGHT].staff_)
35 Real y = bez.curve_point (ts[0])[Y_AXIS];
37 Grob *staff = state.extremes_[LEFT].staff_;
39 Real p = 2 * (y - staff->relative_coordinate (state.common_[Y_AXIS], Y_AXIS))
42 Real distance = fabs (my_round (p) - p); // in halfspaces
43 if (distance < 4 * state.thickness_
44 && (int) fabs (my_round (p))
45 <= 2 * Staff_symbol_referencer::staff_radius (staff) + 0.1
46 && (int (fabs (my_round (p))) % 2
47 != Staff_symbol_referencer::line_count (staff) % 2))
49 Direction resolution_dir
50 = (distance ? state.dir_ : Direction (sign (p - my_round (p))));
53 Real newp = my_round (p) + resolution_dir
54 * 5 * state.thickness_;
56 Real dy = (newp - p) * state.staff_space_ / 2.0;
58 bez.control_[1][Y_AXIS] += dy;
59 bez.control_[2][Y_AXIS] += dy;
66 fit_factor (Offset dz_unit, Offset dz_perp,
67 Bezier curve, Direction d, vector<Offset> const &avoid)
69 Real fit_factor = 0.0;
70 Offset x0 = curve.control_[0];
71 curve.translate (-x0);
72 curve.rotate (-dz_unit.arg ());
76 curve_xext.add_point (curve.control_[0][X_AXIS]);
77 curve_xext.add_point (curve.control_[3][X_AXIS]);
79 for (vsize i = 0; i < avoid.size (); i++)
81 Offset z = (avoid[i] - x0);
82 Offset p (dot_product (z, dz_unit),
83 d * dot_product (z, dz_perp));
86 Interval pext = eps * Interval (-1,1) + p[X_AXIS];
87 pext.intersect (curve_xext);
88 if (pext.is_empty () || pext.length () <= 1.999 * eps)
91 Real y = curve.get_other_coordinate (X_AXIS, p[X_AXIS]);
93 fit_factor = max (fit_factor, (p[Y_AXIS] / y));
99 Slur_configuration::generate_curve (Slur_score_state const &state,
100 Real r_0, Real h_inf,
101 vector<Offset> const &avoid)
103 Offset dz = attachment_[RIGHT]- attachment_[LEFT];;
105 dz_unit *= 1 / dz.length ();
106 Offset dz_perp = dz_unit * Offset (0, 1);
109 get_slur_indent_height (&indent, &height, dz.length (), h_inf, r_0);
111 Real len = dz.length ();
115 len^2 > 4h^2 + 3 (i + 1/3len)^2 - 1/3 len^2
119 |bez' (0)| < | bez' (.5)|
121 when (control2 - control1) has the same direction as
122 (control3 - control0). */
124 Real max_indent = len / 3.1;
125 indent = min (indent, max_indent);
127 Real a1 = sqr (len) / 3.0;
128 Real a2 = 0.75 * sqr (indent + len / 3.0);
129 Real max_h = a1 - a2;
133 programming_error ("slur indent too small");
137 max_h = sqrt (max_h);
139 Real eccentricity = robust_scm2double (state.slur_->get_property ("eccentricity"), 0);
141 Real x1 = (eccentricity + indent);
142 Real x2 = (eccentricity - indent);
145 curve.control_[0] = attachment_[LEFT];
146 curve.control_[1] = attachment_[LEFT] + dz_perp * height * state.dir_
148 curve.control_[2] = attachment_[RIGHT] + dz_perp * height * state.dir_
150 curve.control_[3] = attachment_[RIGHT];
152 Real ff = fit_factor (dz_unit, dz_perp, curve, state.dir_, avoid);
154 height = max (height, min (height * ff, max_h));
156 curve.control_[0] = attachment_[LEFT];
157 curve.control_[1] = attachment_[LEFT] + dz_perp * height * state.dir_
159 curve.control_[2] = attachment_[RIGHT] + dz_perp * height * state.dir_
161 curve.control_[3] = attachment_[RIGHT];
163 curve_ = avoid_staff_line (state, curve);
167 Slur_configuration::Slur_configuration ()
175 Slur_configuration::add_score (Real s, string desc)
179 score_card_ += to_string ("%s=%.2f ", desc.c_str (), s);
185 Slur_configuration::score_encompass (Slur_score_state const &state)
187 Bezier const &bez (curve_);
191 Distances for heads that are between slur and line between
194 vector<Real> convex_head_distances;
195 for (vsize j = 0; j < state.encompass_infos_.size (); j++)
197 Real x = state.encompass_infos_[j].x_;
199 bool l_edge = j == 0;
200 bool r_edge = j == state.encompass_infos_.size () - 1;
201 bool edge = l_edge || r_edge;
203 if (! (x < attachment_[RIGHT][X_AXIS]
204 && x > attachment_[LEFT][X_AXIS]))
207 Real y = bez.get_other_coordinate (X_AXIS, x);
210 Real head_dy = (y - state.encompass_infos_[j].head_);
211 if (state.dir_ * head_dy < 0)
213 demerit += state.parameters_.head_encompass_penalty_;
214 convex_head_distances.push_back (0.0);
219 ? (1 / fabs (head_dy) - 1 / state.parameters_.free_head_distance_)
220 : state.parameters_.head_encompass_penalty_;
221 hd = min (max (hd, 0.0), state.parameters_.head_encompass_penalty_);
226 Real line_y = linear_interpolate (x,
227 attachment_[RIGHT][X_AXIS],
228 attachment_[LEFT][X_AXIS],
229 attachment_[RIGHT][Y_AXIS],
230 attachment_[LEFT][Y_AXIS]);
232 if (1) // state.dir_ * state.encompass_infos_[j].get_point (state.dir_) > state.dir_ *line_y )
236 = state.dir_ * max (state.dir_ * state.encompass_infos_[j].get_point (state.dir_), state.dir_ * line_y);
237 Real d = fabs (closest - y);
239 convex_head_distances.push_back (d);
243 if (state.dir_ * (y - state.encompass_infos_[j].stem_) < 0)
245 Real stem_dem = state.parameters_.stem_encompass_penalty_;
246 if ((l_edge && state.dir_ == UP)
247 || (r_edge && state.dir_ == DOWN))
255 ext.add_point (state.encompass_infos_[j].stem_);
256 ext.add_point (state.encompass_infos_[j].head_);
259 demerit += -state.parameters_.closeness_factor_
261 * (y - (ext[state.dir_] + state.dir_ * state.parameters_.free_head_distance_)), 0.0)
262 / state.encompass_infos_.size ();
265 add_score (demerit, "encompass");
267 if (convex_head_distances.size ())
269 Real avg_distance = 0.0;
270 Real min_dist = infinity_f;
271 for (vsize j = 0; j < convex_head_distances.size (); j++)
273 min_dist = min (min_dist, convex_head_distances[j]);
274 avg_distance += convex_head_distances[j];
278 For slurs over 3 or 4 heads, the average distance is not a
281 Real n = convex_head_distances.size ();
285 avg_distance += height_ * fact;
290 TODO: maybe it's better to use (avgdist - mindist)*factor
294 Real variance_penalty = state.parameters_.head_slur_distance_max_ratio_;
297 = min ((avg_distance / (min_dist + state.parameters_.absolute_closeness_measure_) - 1.0), variance_penalty);
299 variance_penalty = max (variance_penalty, 0.0);
300 variance_penalty *= state.parameters_.head_slur_distance_factor_;
302 add_score (variance_penalty, "variance");
307 Slur_configuration::score_extra_encompass (Slur_score_state const &state)
309 for (vsize j = 0; j < state.extra_encompass_infos_.size (); j++)
311 Drul_array<Offset> attachment = attachment_;
312 Extra_collision_info const &info (state.extra_encompass_infos_[j]);
314 Interval slur_wid (attachment[LEFT][X_AXIS], attachment[RIGHT][X_AXIS]);
317 to prevent numerical inaccuracies in
318 Bezier::get_other_coordinate ().
327 We need to check for the bound explicitly, since the
328 slur-ending can be almost vertical, making the Y
329 coordinate a bad approximation of the object-slur
332 Item *as_item = dynamic_cast<Item *> (state.extra_encompass_infos_[j].grob_);
336 Interval item_x = as_item->extent (state.common_[X_AXIS], X_AXIS);
337 item_x.intersect (state.extremes_[d].slur_head_x_extent_);
338 if (!item_x.is_empty ())
340 y = attachment[d][Y_AXIS];
345 while (flip (&d) != LEFT);
349 Real x = info.extents_[X_AXIS].linear_combination (info.idx_);
351 if (!slur_wid.contains (x))
354 y = curve_.get_other_coordinate (X_AXIS, x);
358 if (info.type_ == ly_symbol2scm ("around"))
359 dist = info.extents_[Y_AXIS].distance (y);
362 Have to score too: the curve enumeration is limited in its
363 shape, and may produce curves which collide anyway.
365 else if (info.type_ == ly_symbol2scm ("inside"))
366 dist = state.dir_ * (y - info.extents_[Y_AXIS][state.dir_]);
368 programming_error ("unknown avoidance type");
370 dist = max (dist, 0.0);
372 Real penalty = info.penalty_ * peak_around (0.1 * state.parameters_.extra_encompass_free_distance_,
373 state.parameters_.extra_encompass_free_distance_,
376 add_score (penalty, "extra");
381 Slur_configuration::score_edges (Slur_score_state const &state)
384 Offset dz = attachment_[RIGHT]
386 Real slope = dz[Y_AXIS] / dz[X_AXIS];
389 Real y = attachment_[d][Y_AXIS];
390 Real dy = fabs (y - state.base_attachments_[d][Y_AXIS]);
392 Real factor = state.parameters_.edge_attraction_factor_;
393 Real demerit = factor * dy;
394 if (state.extremes_[d].stem_
395 && state.extremes_[d].stem_dir_ == state.dir_
396 && !Stem::get_beaming (state.extremes_[d].stem_, -d))
399 demerit *= exp (state.dir_ * d * slope
400 * state.parameters_.edge_slope_exponent_);
402 add_score (demerit, "edge");
404 while (flip (&d) != LEFT);
408 Slur_configuration ::score_slopes (Slur_score_state const &state)
410 Real dy = state.musical_dy_;
411 Offset slur_dz = attachment_[RIGHT] - attachment_[LEFT];
412 Real slur_dy = slur_dz[Y_AXIS];
415 demerit += max ((fabs (slur_dy / slur_dz[X_AXIS])
416 - state.parameters_.max_slope_), 0.0)
417 * state.parameters_.max_slope_factor_;
419 /* 0.2: account for staffline offset. */
420 Real max_dy = (fabs (dy) + 0.2);
421 if (state.edge_has_beams_)
424 if (!state.is_broken_)
425 demerit += state.parameters_.steeper_slope_factor_
426 * (max (fabs (slur_dy) -max_dy, 0.0));
428 demerit += max ((fabs (slur_dy / slur_dz[X_AXIS])
429 - state.parameters_.max_slope_), 0.0)
430 * state.parameters_.max_slope_factor_;
433 && sign (slur_dy) != 0
434 && !state.is_broken_)
435 demerit += state.parameters_.non_horizontal_penalty_;
440 && sign (slur_dy) != sign (dy))
441 demerit += state.edge_has_beams_
442 ? state.parameters_.same_slope_penalty_ / 10
443 : state.parameters_.same_slope_penalty_;
445 add_score (demerit, "slope");
449 Slur_configuration::calculate_score (Slur_score_state const &state)
451 score_extra_encompass (state);
452 score_slopes (state);
454 score_encompass (state);