2 slur-configuration.cc -- implement Slur_configuration
4 source file of the GNU LilyPond music typesetter
6 (c) 2004--2005 Han-Wen Nienhuys <hanwen@xs4all.nl>
9 #include "slur-configuration.hh"
17 #include "group-interface.hh"
19 #include "slur-scoring.hh"
21 #include "staff-symbol-referencer.hh"
22 #include "libc-extension.hh"
25 avoid_staff_line (Slur_score_state const &state,
29 Array<Real> ts = bez.solve_derivative (horiz);
31 /* TODO: handle case of broken slur. */
33 && (state.extremes_[LEFT].staff_ == state.extremes_[RIGHT].staff_)
34 && state.extremes_[LEFT].staff_ && state.extremes_[RIGHT].staff_)
36 Real y = bez.curve_point (ts[0])[Y_AXIS];
38 Grob *staff = state.extremes_[LEFT].staff_;
40 Real p = 2 * (y - staff->relative_coordinate (state.common_[Y_AXIS], Y_AXIS))
43 Real distance = fabs (my_round (p) - p); // in halfspaces
44 if (distance < 4 * state.thickness_
45 && (int) fabs (my_round (p))
46 <= 2 * Staff_symbol_referencer::staff_radius (staff) + 0.1
47 && (int (fabs (my_round (p))) % 2
48 != Staff_symbol_referencer::line_count (staff) % 2))
50 Direction resolution_dir
51 = (distance ? state.dir_ : Direction (sign (p - my_round (p))));
54 Real newp = my_round (p) + resolution_dir
55 * 5 * state.thickness_;
57 Real dy = (newp - p) * state.staff_space_ / 2.0;
59 bez.control_[1][Y_AXIS] += dy;
60 bez.control_[2][Y_AXIS] += dy;
67 fit_factor (Offset dz_unit, Offset dz_perp,
68 Bezier curve, Direction d, Array<Offset> const &avoid)
70 Real fit_factor = 0.0;
71 Offset x0 = curve.control_[0];
72 curve.translate (-x0);
73 curve.rotate (-dz_unit.arg ());
77 curve_xext.add_point (curve.control_[0][X_AXIS]);
78 curve_xext.add_point (curve.control_[3][X_AXIS]);
80 for (int i = 0; i < avoid.size (); i++)
82 Offset z = (avoid[i] - x0);
83 Offset p (dot_product (z, dz_unit),
84 d * dot_product (z, dz_perp));
85 if (!curve_xext.contains (p[X_AXIS]))
88 Real y = curve.get_other_coordinate (X_AXIS, p[X_AXIS]);
91 fit_factor = max (fit_factor, (p[Y_AXIS] / y));
98 Slur_configuration::generate_curve (Slur_score_state const &state,
100 Array<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");
138 max_h = sqrt (max_h);
141 Real excentricity = robust_scm2double (state.slur_->get_property ("excentricity"), 0);
143 Real x1 = (excentricity + indent);
144 Real x2 = (excentricity - indent);
147 curve.control_[0] = attachment_[LEFT];
148 curve.control_[1] = attachment_[LEFT] + dz_perp * height * state.dir_
150 curve.control_[2] = attachment_[RIGHT] + dz_perp * height * state.dir_
152 curve.control_[3] = attachment_[RIGHT];
154 Real ff = fit_factor (dz_unit, dz_perp, curve, state.dir_, avoid);
156 height = max (height, min (height * ff, max_h));
158 curve.control_[0] = attachment_[LEFT];
159 curve.control_[1] = attachment_[LEFT] + dz_perp * height * state.dir_
161 curve.control_[2] = attachment_[RIGHT] + dz_perp * height * state.dir_
163 curve.control_[3] = attachment_[RIGHT];
165 curve_ = avoid_staff_line (state, curve);
169 Slur_configuration::Slur_configuration ()
176 Slur_configuration::score_encompass (Slur_score_state const &state)
178 Bezier const &bez (curve_);
182 Distances for heads that are between slur and line between
185 Array<Real> convex_head_distances;
186 for (int j = 0; j < state.encompass_infos_.size (); j++)
188 Real x = state.encompass_infos_[j].x_;
190 bool l_edge = j == 0;
191 bool r_edge = j == state.encompass_infos_.size () - 1;
192 bool edge = l_edge || r_edge;
194 if (! (x < attachment_[RIGHT][X_AXIS]
195 && x > attachment_[LEFT][X_AXIS]))
198 Real y = bez.get_other_coordinate (X_AXIS, x);
201 Real head_dy = (y - state.encompass_infos_[j].head_);
202 if (state.dir_ * head_dy < 0)
204 demerit += state.parameters_.head_encompass_penalty_;
205 convex_head_distances.push (0.0);
210 ? (1 / fabs (head_dy) - 1 / state.parameters_.free_head_distance_)
211 : state.parameters_.head_encompass_penalty_;
212 hd = min (max (hd, 0.0), state.parameters_.head_encompass_penalty_);
217 Real line_y = linear_interpolate (x,
218 attachment_[RIGHT][X_AXIS],
219 attachment_[LEFT][X_AXIS],
220 attachment_[RIGHT][Y_AXIS],
221 attachment_[LEFT][Y_AXIS]);
223 if (1) // state.dir_ * state.encompass_infos_[j].get_point (state.dir_) > state.dir_ *line_y )
227 = state.dir_ * max (state.dir_ * state.encompass_infos_[j].get_point (state.dir_), state.dir_ * line_y);
228 Real d = fabs (closest - y);
230 convex_head_distances.push (d);
234 if (state.dir_ * (y - state.encompass_infos_[j].stem_) < 0)
236 Real stem_dem = state.parameters_.stem_encompass_penalty_;
237 if ((l_edge && state.dir_ == UP)
238 || (r_edge && state.dir_ == DOWN))
246 ext.add_point (state.encompass_infos_[j].stem_);
247 ext.add_point (state.encompass_infos_[j].head_);
250 demerit += -state.parameters_.closeness_factor_
252 * (y - (ext[state.dir_] + state.dir_ * state.parameters_.free_head_distance_)), 0.0)
253 / state.encompass_infos_.size ();
257 Real variance_penalty = 0.0;
259 if (convex_head_distances.size ())
261 Real avg_distance = 0.0;
262 Real min_dist = infinity_f;
263 for (int j = 0; j < convex_head_distances.size (); j++)
265 min_dist = min (min_dist, convex_head_distances[j]);
266 avg_distance += convex_head_distances[j];
270 For slurs over 3 or 4 heads, the average distance is not a
273 Real n = convex_head_distances.size ();
277 avg_distance += height_ * fact;
282 TODO: maybe it's better to use (avgdist - mindist)*factor
286 variance_penalty = state.parameters_.head_slur_distance_max_ratio_;
289 = min ((avg_distance / (min_dist + state.parameters_.absolute_closeness_measure_) - 1.0), variance_penalty);
291 variance_penalty = max (variance_penalty, 0.0);
292 variance_penalty *= state.parameters_.head_slur_distance_factor_;
295 #if DEBUG_SLUR_SCORING
296 score_card_ += to_string ("C%.2f", demerit);
297 score_card_ += to_string ("D%.2f", variance_penalty);
300 score_ += demerit + variance_penalty;
304 Slur_configuration::score_extra_encompass (Slur_score_state const &state)
307 for (int j = 0; j < state.extra_encompass_infos_.size (); j++)
309 Drul_array<Offset> attachment = attachment_;
310 Interval slur_wid (attachment[LEFT][X_AXIS], attachment[RIGHT][X_AXIS]);
313 to prevent numerical inaccuracies in
314 Bezier::get_other_coordinate ().
323 We need to check for the bound explicitly, since the
324 slur-ending can be almost vertical, making the Y
325 coordinate a bad approximation of the object-slur
328 Item *as_item = dynamic_cast<Item *> (state.extra_encompass_infos_[j].grob_);
330 && as_item->get_column ()
331 == state.extremes_[d].bound_->get_column ())
332 || state.extra_encompass_infos_[j].extents_[X_AXIS].contains (attachment[d][X_AXIS]))
334 y = attachment[d][Y_AXIS];
338 while (flip (&d) != LEFT);
342 Real x = state.extra_encompass_infos_[j].extents_[X_AXIS]
343 .linear_combination (state.extra_encompass_infos_[j].idx_);
345 if (!slur_wid.contains (x))
348 y = curve_.get_other_coordinate (X_AXIS, x);
351 Real dist = state.extra_encompass_infos_[j].extents_[Y_AXIS].distance (y);
353 += fabs (max (0.0, (state.parameters_.extra_encompass_free_distance_ - dist)))
354 / state.parameters_.extra_encompass_free_distance_
355 * state.extra_encompass_infos_[j].penalty_;
357 #if DEBUG_SLUR_SCORING
358 score_card_ += to_string ("X%.2f", demerit);
364 Slur_configuration::score_edges (Slur_score_state const &state)
367 Offset dz = attachment_[RIGHT]
369 Real slope = dz[Y_AXIS] / dz[X_AXIS];
372 Real y = attachment_[d][Y_AXIS];
373 Real dy = fabs (y - state.base_attachments_[d][Y_AXIS]);
375 Real factor = state.parameters_.edge_attraction_factor_;
376 Real demerit = factor * dy;
377 if (state.extremes_[d].stem_
378 && state.extremes_[d].stem_dir_ == state.dir_
379 && !Stem::get_beaming (state.extremes_[d].stem_, -d))
382 demerit *= exp (state.dir_ * d * slope
383 * state.parameters_.edge_slope_exponent_);
386 #if DEBUG_SLUR_SCORING
387 score_card_ += to_string ("E%.2f", demerit);
390 while (flip (&d) != LEFT);
394 Slur_configuration ::score_slopes (Slur_score_state const &state)
396 Real dy = state.musical_dy_;
397 Offset slur_dz = attachment_[RIGHT] - attachment_[LEFT];
398 Real slur_dy = slur_dz[Y_AXIS];
401 demerit += max ((fabs (slur_dy / slur_dz[X_AXIS])
402 - state.parameters_.max_slope_), 0.0)
403 * state.parameters_.max_slope_factor_;
405 /* 0.2: account for staffline offset. */
406 Real max_dy = (fabs (dy) + 0.2);
407 if (state.edge_has_beams_)
410 if (!state.is_broken_)
411 demerit += state.parameters_.steeper_slope_factor_
412 * (max (fabs (slur_dy) -max_dy, 0.0));
414 demerit += max ((fabs (slur_dy / slur_dz[X_AXIS])
415 - state.parameters_.max_slope_), 0.0)
416 * state.parameters_.max_slope_factor_;
419 && sign (slur_dy) != 0
420 && !state.is_broken_)
421 demerit += state.parameters_.non_horizontal_penalty_;
426 && sign (slur_dy) != sign (dy))
427 demerit += state.edge_has_beams_
428 ? state.parameters_.same_slope_penalty_ / 10
429 : state.parameters_.same_slope_penalty_;
431 #if DEBUG_SLUR_SCORING
432 score_card_ += to_string ("S%.2f", demerit);
438 Slur_configuration::score (Slur_score_state const &state)
440 score_extra_encompass (state);
441 score_slopes (state);
443 score_encompass (state);