/*
beam.cc -- implement Beam
-
+
source file of the GNU LilyPond music typesetter
-
- (c) 1997--2000 Han-Wen Nienhuys <hanwen@cs.uu.nl>
- Jan Nieuwenhuizen <janneke@gnu.org>
-
+
+ (c) 1997--2002 Han-Wen Nienhuys <hanwen@cs.uu.nl>
+ Jan Nieuwenhuizen <janneke@gnu.org>
+
*/
/*
- [TODO]
- * shorter! (now +- 1000 lines)
- * less hairy code
- * move paper vars to scm
+
+ * Junk stem_info.
+
+ * Use Number_pair i.s.o Interval to represent (yl, yr).
+
+Notes:
+
+ - Stems run to the Y-center of the beam.
+
+ - beam_space is the offset between Y centers of the beam.
- remove *-hs variables, and do all y-position stuff in staff-space.
*/
#include <math.h> // tanh.
-
+#include "molecule.hh"
#include "directional-element-interface.hh"
#include "beaming.hh"
#include "beam.hh"
#include "lookup.hh"
#include "group-interface.hh"
#include "staff-symbol-referencer.hh"
-#include "cross-staff.hh"
#include "item.hh"
#include "spanner.hh"
#include "warn.hh"
+
+#define DEBUG_QUANTING 0
+
+
+#if DEBUG_QUANTING
+#include "text-item.hh" // debug output.
+#include "font-interface.hh" // debug output.
+#endif
+
+
+const int INTER_QUANT_PENALTY = 1000;
+const int SECONDARY_BEAM_DEMERIT = 15;
+const int STEM_LENGTH_DEMERIT_FACTOR = 5;
+// possibly ridiculous, but too short stems just won't do
+const int STEM_LENGTH_LIMIT_PENALTY = 5000;
+const int DAMPING_DIRECTIION_PENALTY = 800;
+const int MUSICAL_DIRECTION_FACTOR = 400;
+const int IDEAL_SLOPE_FACTOR = 10;
+const int REGION_SIZE = 2;
+
+
+static Real
+shrink_extra_weight (Real x)
+{
+ return fabs (x) * ((x < 0) ? 1.5 : 1.0);
+}
+
+// move to somewhree?
+Slice
+int_list_to_slice (SCM l)
+{
+ Slice s;
+ s.set_empty ();
+ for (; gh_pair_p (l); l = gh_cdr (l))
+ {
+ if (gh_number_p (gh_car (l)))
+ s.add_point (gh_scm2int (gh_car (l)));
+ }
+
+ return s;
+}
+
+// move to stem?
+Slice
+stem_beam_multiplicity (Grob *stem)
+{
+ SCM beaming= stem->get_grob_property ("beaming");
+ Slice l = int_list_to_slice (gh_car (beaming));
+ Slice r = int_list_to_slice (gh_cdr (beaming));
+ l.unite (r);
+
+ return l;
+}
+
void
-Beam::add_stem (Score_element*me, Score_element*s)
+Beam::add_stem (Grob *me, Grob *s)
{
- Pointer_group_interface gi (me, "stems");
- gi.add_element (s);
+ Pointer_group_interface::add_grob (me, ly_symbol2scm ("stems"), s);
s->add_dependency (me);
assert (!Stem::beam_l (s));
- s->set_elt_property ("beam", me->self_scm ());
+ s->set_grob_property ("beam", me->self_scm ());
add_bound_item (dynamic_cast<Spanner*> (me), dynamic_cast<Item*> (s));
}
+Real
+Beam::get_beam_space (Grob *me)
+{
+ SCM func = me->get_grob_property ("space-function");
+ SCM s = gh_call2 (func, me->self_scm (), gh_int2scm (get_beam_count (me)));
+ return gh_scm2double (s);
+}
+
+/*
+ Maximum beam_count.
+ */
int
-Beam::get_multiplicity (Score_element*me)
+Beam::get_beam_count (Grob *me)
{
int m = 0;
- for (SCM s = me->get_elt_property ("stems"); gh_pair_p (s); s = gh_cdr (s))
+ for (SCM s = me->get_grob_property ("stems"); gh_pair_p (s); s = ly_cdr (s))
{
- Score_element * sc = unsmob_element (gh_car (s));
-
- if (Stem::has_interface (sc))
- m = m >? Stem::beam_count (sc,LEFT) >? Stem::beam_count (sc,RIGHT);
+ Grob *sc = unsmob_grob (ly_car (s));
+
+ m = m >? (stem_beam_multiplicity (sc).length () + 1);
}
return m;
}
-/*
- After pre-processing all directions should be set.
- Several post-processing routines (stem, slur, script) need stem/beam
- direction.
- Currenly, this means that beam has set all stem's directions.
- [Alternatively, stems could set its own directions, according to
- their beam, during 'final-pre-processing'.]
- */
-MAKE_SCHEME_CALLBACK(Beam,before_line_breaking);
+MAKE_SCHEME_CALLBACK (Beam, space_function, 2);
SCM
-Beam::before_line_breaking (SCM smob)
+Beam::space_function (SCM smob, SCM beam_count)
{
- Score_element * me = unsmob_element (smob);
+ Grob *me = unsmob_grob (smob);
+
+ Real staff_space = Staff_symbol_referencer::staff_space (me);
+ Real line = me->paper_l ()->get_var ("linethickness");
+ Real thickness = gh_scm2double (me->get_grob_property ("thickness"))
+ * staff_space;
+
+ Real beam_space = gh_scm2int (beam_count) < 4
+ ? (2*staff_space + line - thickness) / 2.0
+ : (3*staff_space + line - thickness) / 3.0;
+
+ return gh_double2scm (beam_space);
+}
+
- // Why?
- if (visible_stem_count (me) < 2)
+/* After pre-processing all directions should be set.
+ Several post-processing routines (stem, slur, script) need stem/beam
+ direction.
+ Currenly, this means that beam has set all stem's directions.
+ [Alternatively, stems could set its own directions, according to
+ their beam, during 'final-pre-processing'.] */
+MAKE_SCHEME_CALLBACK (Beam, before_line_breaking, 1);
+SCM
+Beam::before_line_breaking (SCM smob)
+{
+ Grob *me = unsmob_grob (smob);
+
+ /* Beams with less than 2 two stems don't make much sense, but could happen
+ when you do
+
+ [r8 c8 r8].
+
+ For a beam that only has one stem, we try to do some disappearance magic:
+ we revert the flag, and move on to The Eternal Engraving Fields. */
+
+ int count = visible_stem_count (me);
+ if (count < 2)
{
- warning (_ ("beam has less than two stems"));
+ me->warning (_ ("beam has less than two visible stems"));
+
+ SCM stems = me->get_grob_property ("stems");
+ if (scm_ilength (stems) == 1)
+ {
+ me->warning (_ ("Beam has less than two stems. Removing beam."));
+
+ unsmob_grob (gh_car (stems))->remove_grob_property ("beam");
+ me->suicide ();
+
+ return SCM_UNSPECIFIED;
+ }
+ else if (scm_ilength (stems) == 0)
+ {
+ me->suicide ();
+ return SCM_UNSPECIFIED;
+ }
}
+ if (count >= 1)
+ {
+ Direction d = get_default_dir (me);
+
+ consider_auto_knees (me, d);
+ set_stem_directions (me, d);
- if (!Directional_element_interface::get (me))
- Directional_element_interface::set (me, get_default_dir (me));
+ connect_beams (me);
- auto_knees (me);
- set_stem_directions (me);
- set_stem_shorten (me);
+ set_stem_shorten (me);
+ }
return SCM_EOL;
}
+
+
+void
+Beam::connect_beams (Grob *me)
+{
+ Link_array<Grob> stems=
+ Pointer_group_interface__extract_grobs (me, (Grob*)0, "stems");
+
+ Slice last_int;
+ last_int.set_empty();
+ for (int i = 0; i< stems.size(); i++)
+ {
+ Grob *this_stem = stems[i];
+ SCM this_beaming = this_stem->get_grob_property ("beaming");
+
+ Direction this_dir = Directional_element_interface::get(this_stem);
+ if (i > 0)
+ {
+ int start_point = last_int [this_dir];
+
+ Direction d = LEFT;
+ Slice new_slice ;
+ do
+ {
+ if (d == RIGHT && i == stems.size()-1)
+ continue;
+
+ new_slice.set_empty();
+ SCM s = index_get_cell (this_beaming, d);
+ for (; gh_pair_p (s); s = gh_cdr (s))
+ {
+ int new_beam_pos =
+ start_point - this_dir * gh_scm2int (gh_car (s));
+
+ new_slice.add_point (new_beam_pos);
+ gh_set_car_x (s, gh_int2scm (new_beam_pos));
+ }
+ }
+ while (flip (&d) != LEFT);
+
+ last_int = new_slice;
+ }
+ else
+ {
+ SCM s = gh_cdr (this_beaming);
+ for (; gh_pair_p (s); s = gh_cdr (s))
+ {
+ int np = - this_dir * gh_scm2int (gh_car(s));
+ gh_set_car_x (s, gh_int2scm (np));
+ last_int.add_point (np);
+ }
+ }
+ }
+}
+
+MAKE_SCHEME_CALLBACK (Beam, brew_molecule, 1);
+SCM
+Beam::brew_molecule (SCM grob)
+{
+ Grob *me = unsmob_grob (grob);
+ Link_array<Grob> stems=
+ Pointer_group_interface__extract_grobs (me, (Grob*)0, "stems");
+ Grob* xcommon = common_refpoint_of_array (stems, me, X_AXIS);
+
+ Real x0, dx;
+ if (visible_stem_count (me))
+ {
+ // ugh -> use commonx
+ x0 = first_visible_stem (me)->relative_coordinate (xcommon, X_AXIS);
+ dx = last_visible_stem (me)->relative_coordinate (xcommon, X_AXIS) - x0;
+ }
+ else
+ {
+ x0 = stems[0]->relative_coordinate (xcommon, X_AXIS);
+ dx = stems.top ()->relative_coordinate (xcommon, X_AXIS) - x0;
+ }
+
+ SCM posns = me->get_grob_property ("positions");
+ Interval pos;
+ if (!ly_number_pair_p (posns))
+ {
+ programming_error ("No beam posns");
+ pos = Interval (0,0);
+ }
+ else
+ pos= ly_scm2interval (posns);
+
+ Real dy = pos.delta ();
+ Real dydx = dy && dx ? dy/dx : 0;
+
+ Real thick = gh_scm2double (me->get_grob_property ("thickness"));
+ Real bdy = get_beam_space (me);
+
+ SCM last_beaming = SCM_EOL;;
+ Real last_xposn = -1;
+ Real last_width = -1 ;
+
+
+ * Determine auto knees based on positions if it's set by the user.
+
+ Molecule the_beam;
+ Real lt = me->paper_l ()->get_var ("linethickness");
+ for (int i = 0; i< stems.size(); i++)
+ {
+ Grob * st =stems[i];
+
+ SCM this_beaming = st->get_grob_property ("beaming");
+ Real xposn = st->relative_coordinate (xcommon, X_AXIS);
+ Real stem_width = gh_scm2double (st->get_grob_property ("thickness")) *lt;
+
+ if (i > 0)
+ {
+ SCM left = gh_cdr (last_beaming);
+ SCM right = gh_car (this_beaming);
+
+ Array<int> fullbeams;
+ Array<int> lfliebertjes;
+ Array<int> rfliebertjes;
+
+ for (SCM s = left;
+ gh_pair_p (s); s =gh_cdr (s))
+ {
+ int b = gh_scm2int (gh_car (s));
+ if (scm_memq (gh_car(s), right) != SCM_BOOL_F)
+ {
+ fullbeams.push (b);
+ }
+ else
+ {
+ lfliebertjes.push (b);
+ }
+ }
+ for (SCM s = right;
+ gh_pair_p (s); s =gh_cdr (s))
+ {
+ int b = gh_scm2int (gh_car (s));
+ if (scm_memq (gh_car(s), left) == SCM_BOOL_F)
+ {
+ rfliebertjes.push (b);
+ }
+ }
+
+
+ Real w = xposn - last_xposn;
+ Real stem_offset = 0.0;
+ Real width_corr = 0.0;
+ if (i == 1)
+ {
+ stem_offset -= last_width/2;
+ width_corr += last_width/2;
+ }
+
+ if (i == stems.size() -1)
+ {
+ width_corr += stem_width/2;
+ }
+
+ Molecule whole = Lookup::beam (dydx, w + width_corr, thick);
+ for (int j = fullbeams.size(); j--;)
+ {
+ Molecule b (whole);
+ b.translate_axis (last_xposn - x0 + stem_offset, X_AXIS);
+ b.translate_axis (dydx * (last_xposn - x0) + bdy * fullbeams[j], Y_AXIS);
+ the_beam.add_molecule (b);
+ }
+
+ if (lfliebertjes.size() || rfliebertjes.size())
+ {
+
+ Real nw_f;
+ if (!Stem::first_head (st))
+ nw_f = 0;
+ else
+ {
+ int t = Stem::duration_log (st);
+
+ SCM proc = me->get_grob_property ("flag-width-function");
+ SCM result = gh_call1 (proc, gh_int2scm (t));
+ nw_f = gh_scm2double (result);
+ }
+
+ /* Half beam should be one note-width,
+ but let's make sure two half-beams never touch */
+
+ Real w = xposn - last_xposn;
+ w = w/2 <? nw_f;
+
+ Molecule half = Lookup::beam (dydx, w, thick);
+ for (int j = lfliebertjes.size(); j--;)
+ {
+ Molecule b (half);
+ b.translate_axis (last_xposn - x0, X_AXIS);
+ b.translate_axis (dydx * (last_xposn-x0) + bdy * lfliebertjes[j], Y_AXIS);
+ the_beam.add_molecule (b);
+ }
+ for (int j = rfliebertjes.size(); j--;)
+ {
+ Molecule b (half);
+ b.translate_axis (xposn - x0 - w , X_AXIS);
+ b.translate_axis (dydx * (xposn-x0 -w) + bdy * rfliebertjes[j], Y_AXIS);
+ the_beam.add_molecule (b);
+ }
+ }
+ }
+
+ last_xposn = xposn;
+ last_width = stem_width;
+ last_beaming = this_beaming;
+ }
+
+ the_beam.translate_axis (x0 - me->relative_coordinate (xcommon, X_AXIS), X_AXIS);
+ the_beam.translate_axis (pos[LEFT], Y_AXIS);
+
+#if (DEBUG_QUANTING)
+ {
+ /*
+ This code prints the demerits for each beam. Perhaps this
+ should be switchable for those who want to twiddle with the
+ parameters.
+ */
+ String str;
+ if (1)
+ {
+ str += to_str (gh_scm2int (me->get_grob_property ("best-idx")));
+ str += ":";
+ }
+ str += to_str (gh_scm2double (me->get_grob_property ("quant-score")),
+ "%.2f");
+
+ SCM properties = Font_interface::font_alist_chain (me);
+
+
+ Molecule tm = Text_item::text2molecule (me, ly_str02scm (str.ch_C ()), properties);
+ the_beam.add_at_edge (Y_AXIS, UP, tm, 5.0);
+ }
+#endif
+
+
+
+ return the_beam.smobbed_copy();
+}
+
+
+
+
Direction
-Beam::get_default_dir (Score_element*me)
+Beam::get_default_dir (Grob *me)
{
Drul_array<int> total;
total[UP] = total[DOWN] = 0;
Direction d = DOWN;
Link_array<Item> stems=
- Pointer_group_interface__extract_elements (me, (Item*)0, "stems");
+ Pointer_group_interface__extract_grobs (me, (Item*)0, "stems");
for (int i=0; i <stems.size (); i++)
- do { // HUH -- waar slaat dit op?
- Score_element *s = stems[i];
+ do {
+ Grob *s = stems[i];
Direction sd = Directional_element_interface::get (s);
- int current = sd ? (1 + d * sd)/2
- : Stem::get_center_distance (s, (Direction)-d);
+
+ int center_distance = int(- d * Stem::head_positions (s) [-d]) >? 0;
+ int current = sd ? (1 + d * sd)/2 : center_distance;
if (current)
{
total[d] += current;
count[d] ++;
}
-
- } while (flip(&d) != DOWN);
+ } while (flip (&d) != DOWN);
- SCM func = me->get_elt_property ("dir-function");
+ SCM func = me->get_grob_property ("dir-function");
SCM s = gh_call2 (func,
gh_cons (gh_int2scm (count[UP]),
gh_int2scm (count[DOWN])),
if (gh_number_p (s) && gh_scm2int (s))
return to_dir (s);
- /*
- If dir is not determined: get default
- */
- return to_dir (me->get_elt_property ("default-neutral-direction"));
+ /* If dir is not determined: get default */
+ return to_dir (me->get_grob_property ("neutral-direction"));
}
-/*
- Set all stems with non-forced direction to beam direction.
- Urg: non-forced should become `without/with unforced' direction,
- once stem gets cleaned-up.
- */
+/* Set all stems with non-forced direction to beam direction.
+ Urg: non-forced should become `without/with unforced' direction,
+ once stem gets cleaned-up. */
void
-Beam::set_stem_directions (Score_element*me)
+Beam::set_stem_directions (Grob *me, Direction d)
{
Link_array<Item> stems
- =Pointer_group_interface__extract_elements (me, (Item*) 0, "stems");
- Direction d = Directional_element_interface::get (me);
+ =Pointer_group_interface__extract_grobs (me, (Item*) 0, "stems");
for (int i=0; i <stems.size (); i++)
{
- Score_element *s = stems[i];
- SCM force = s->remove_elt_property ("dir-forced");
+ Grob *s = stems[i];
+ SCM force = s->remove_grob_property ("dir-forced");
if (!gh_boolean_p (force) || !gh_scm2bool (force))
- Directional_element_interface ::set (s,d);
+ Directional_element_interface::set (s, d);
}
}
+/* Simplistic auto-knees; only consider vertical gap between two
+ adjacent chords.
+
+ `Forced' stem directions are ignored. If you don't want auto-knees,
+ don't set, or unset auto-knee-gap. */
void
-Beam::auto_knees (Score_element*me)
+Beam::consider_auto_knees (Grob *me, Direction d)
{
- if (!auto_knee (me,"auto-interstaff-knee-gap", true))
- auto_knee (me, "auto-knee-gap", false);
-}
+ SCM scm = me->get_grob_property ("auto-knee-gap");
-/*
- Simplistic auto-knees; only consider vertical gap between two
- adjacent chords.
+ if (gh_number_p (scm))
+ {
+ bool knee_b = false;
+ Real knee_y = 0;
+ Real staff_space = Staff_symbol_referencer::staff_space (me);
+ Real gap = gh_scm2double (scm) / staff_space;
- `Forced' stem directions are ignored. If you don't want auto-knees,
- don't set, or unset autoKneeGap/autoInterstaffKneeGap.
- */
-bool
-Beam::auto_knee (Score_element*me, String gap_str, bool interstaff_b)
-{
- bool knee_b = false;
- int knee_y = 0;
- SCM gap = me->get_elt_property (gap_str.ch_C());
- Direction d = Directional_element_interface::get (me);
Link_array<Item> stems=
- Pointer_group_interface__extract_elements (me, (Item*)0, "stems");
-
- if (gh_number_p (gap))
- {
- Spanner*sp = dynamic_cast<Spanner*> (me);
- int auto_gap_i = gh_scm2int (gap);
+ Pointer_group_interface__extract_grobs (me, (Item*)0, "stems");
+
+ Grob *common = me->common_refpoint (stems[0], Y_AXIS);
+ for (int i=1; i < stems.size (); i++)
+ if (!Stem::invisible_b (stems[i]))
+ common = common->common_refpoint (stems[i], Y_AXIS);
+
+ int l = 0;
for (int i=1; i < stems.size (); i++)
{
- bool is_b = (bool)(calc_interstaff_dist (stems[i], sp)
- - calc_interstaff_dist (stems[i-1], sp));
- int l_y = (int)(Stem::head_positions(stems[i-1])[d])
- + (int)calc_interstaff_dist (stems[i-1], sp);
- int r_y = (int)(Stem::head_positions(stems[i])[d])
- + (int)calc_interstaff_dist (stems[i], sp);
- int gap_i = r_y - l_y;
-
- if ((abs (gap_i) >= auto_gap_i) && (!interstaff_b || is_b))
+ if (!Stem::invisible_b (stems[i-1]))
+ l = i - 1;
+ if (Stem::invisible_b (stems[l]))
+ continue;
+ if (Stem::invisible_b (stems[i]))
+ continue;
+
+ Real left = Stem::extremal_heads (stems[l])[d]
+ ->relative_coordinate (common, Y_AXIS);
+ Real right = Stem::extremal_heads (stems[i])[-d]
+ ->relative_coordinate (common, Y_AXIS);
+
+ Real dy = right - left;
+
+ if (abs (dy) >= gap)
{
- knee_y = (r_y + l_y) / 2;
+ knee_y = (right + left) / 2;
knee_b = true;
break;
}
}
- }
- if (knee_b)
- {
- for (int i=0; i < stems.size (); i++)
- {
- Item *s = stems[i];
- int y = (int)(Stem::head_positions(s)[d])
- + (int)calc_interstaff_dist (s, dynamic_cast<Spanner*> (me));
-
- Directional_element_interface::set (s,y < knee_y ? UP : DOWN);
- s->set_elt_property ("dir-forced", SCM_BOOL_T);
+
+ if (knee_b)
+ {
+ for (int i=0; i < stems.size (); i++)
+ {
+ Item *s = stems[i];
+ if (Stem::invisible_b (s) ||
+ s->get_grob_property ("dir-forced") == SCM_BOOL_T)
+ continue;
+ Real y = Stem::extremal_heads (stems[i])[d]
+ ->relative_coordinate (common, Y_AXIS);
+
+ Directional_element_interface::set (s, y < knee_y ? UP : DOWN);
+ s->set_grob_property ("dir-forced", SCM_BOOL_T);
+ }
}
}
- return knee_b;
}
-/*
- Set stem's shorten property if unset.
+/* Set stem's shorten property if unset.
+
TODO:
- take some y-position (chord/beam/nearest?) into account
- scmify forced-fraction
- */
+ take some y-position (chord/beam/nearest?) into account
+ scmify forced-fraction
+
+ TODO:
+
+ why is shorten stored in beam, and not directly in stem?
+
+*/
void
-Beam::set_stem_shorten (Score_element*m)
+Beam::set_stem_shorten (Grob *m)
{
Spanner*me = dynamic_cast<Spanner*> (m);
- if (!visible_stem_count (me))
- return;
Real forced_fraction = forced_stem_count (me) / visible_stem_count (me);
- if (forced_fraction < 0.5)
- return;
- int multiplicity = get_multiplicity (me);
+ int beam_count = get_beam_count (me);
- SCM shorten = me->get_elt_property ("beamed-stem-shorten");
+ SCM shorten = me->get_grob_property ("beamed-stem-shorten");
if (shorten == SCM_EOL)
return;
int sz = scm_ilength (shorten);
Real staff_space = Staff_symbol_referencer::staff_space (me);
- SCM shorten_elt = scm_list_ref (shorten, gh_int2scm (multiplicity <? (sz - 1)));
+ SCM shorten_elt = scm_list_ref (shorten,
+ gh_int2scm (beam_count <? (sz - 1)));
Real shorten_f = gh_scm2double (shorten_elt) * staff_space;
- /* cute, but who invented me -- how to customise ? */
- if (forced_fraction < 1)
- shorten_f /= 2;
+ /* your similar cute comment here */
+ shorten_f *= forced_fraction;
+
+ if (shorten_f)
+ me->set_grob_property ("shorten", gh_double2scm (shorten_f));
+}
+
+/* Call list of y-dy-callbacks, that handle setting of
+ grob-properties
+*/
+MAKE_SCHEME_CALLBACK (Beam, after_line_breaking, 1);
+SCM
+Beam::after_line_breaking (SCM smob)
+{
+ Grob *me = unsmob_grob (smob);
+
+ /* Copy to mutable list. */
+ SCM s = ly_deep_copy (me->get_grob_property ("positions"));
+ me->set_grob_property ("positions", s);
+
+ if (ly_car (s) == SCM_BOOL_F)
+ {
+
+ // one wonders if such genericity is necessary --hwn.
+ SCM callbacks = me->get_grob_property ("position-callbacks");
+ for (SCM i = callbacks; gh_pair_p (i); i = ly_cdr (i))
+ gh_call1 (ly_car (i), smob);
+ }
+
+ set_stem_lengths (me);
+ return SCM_UNSPECIFIED;
+}
+
+struct Quant_score
+{
+ Real yl;
+ Real yr;
+ Real demerits;
+};
+
+
+/*
+ TODO:
+
+ - Make all demerits customisable
+
+ - One sensible check per demerit (what's this --hwn)
+
+ - Add demerits for quants per se, as to forbid a specific quant
+ entirely
+
+*/
+MAKE_SCHEME_CALLBACK (Beam, quanting, 1);
+SCM
+Beam::quanting (SCM smob)
+{
+ Grob *me = unsmob_grob (smob);
+
+ SCM s = me->get_grob_property ("positions");
+ Real yl = gh_scm2double (gh_car (s));
+ Real yr = gh_scm2double (gh_cdr (s));
+
+ Real ss = Staff_symbol_referencer::staff_space (me);
+ Real thickness = gh_scm2double (me->get_grob_property ("thickness")) / ss;
+ Real slt = me->paper_l ()->get_var ("linethickness") / ss;
+
+
+ SCM sdy = me->get_grob_property ("least-squares-dy");
+ Real dy_mus = gh_number_p (sdy) ? gh_scm2double (sdy) : 0.0;
+
+ Real straddle = 0.0;
+ Real sit = (thickness - slt) / 2;
+ Real inter = 0.5;
+ Real hang = 1.0 - (thickness - slt) / 2;
+ Real quants [] = {straddle, sit, inter, hang };
+
+ int num_quants = int (sizeof (quants)/sizeof (Real));
+ Array<Real> quantsl;
+ Array<Real> quantsr;
+
+ /*
+ going to REGION_SIZE == 2, yields another 0.6 second with
+ wtk1-fugue2.
+
+
+ (result indexes between 70 and 575) ? --hwn.
+
+ */
+
+
+
+ /*
+ Do stem computations. These depend on YL and YR linearly, so we can
+ precompute for every stem 2 factors.
+ */
+ Link_array<Grob> stems=
+ Pointer_group_interface__extract_grobs (me, (Grob*)0, "stems");
+ Array<Stem_info> stem_infos;
+ Array<Real> lbase_lengths;
+ Array<Real> rbase_lengths;
+
+ Drul_array<bool> dirs_found(0,0);
+
+ bool french = to_boolean (me->get_grob_property ("french-beaming"));
+ for (int i= 0; i < stems.size(); i++)
+ {
+ Grob*s = stems[i];
+ stem_infos.push (Stem::calc_stem_info (s));
+ dirs_found[stem_infos.top ().dir_] = true;
+
+ Real b = calc_stem_y (me, s, Interval (1,0), french && i > 0&& (i < stems.size () -1));
+ lbase_lengths.push (b);
+
+ Real a = calc_stem_y (me, s, Interval (0,1), french && i > 0&& (i < stems.size () -1));
+ rbase_lengths.push (a);
+ }
+
+ Direction ldir = Direction (stem_infos[0].dir_);
+ Direction rdir = Direction (stem_infos.top ().dir_);
+ bool knee_b = dirs_found[LEFT] && dirs_found[RIGHT];
+
+
+ int region_size = REGION_SIZE;
+ /*
+ Knees are harder, lets try some more possibilities for knees.
+ */
+ if (knee_b)
+ region_size += 2;
+
+ for (int i = -region_size ; i < region_size; i++)
+ for (int j = 0; j < num_quants; j++)
+ {
+ quantsl.push (i + quants[j] + int (yl));
+ quantsr.push (i + quants[j] + int (yr));
+ }
+
+ Array<Quant_score> qscores;
+
+ for (int l =0; l < quantsl.size (); l++)
+ for (int r =0; r < quantsr.size (); r++)
+ {
+ Quant_score qs;
+ qs.yl = quantsl[l];
+ qs.yr = quantsr[r];
+ qs.demerits = 0.0;
+
+ qscores.push (qs);
+ }
+
+
+ /*
+ This is a longish function, but we don't separate this out into
+ neat modular separate subfunctions, as the subfunctions would be
+ called for many values of YL, YR. By precomputing various
+ parameters outside of the loop, we can save a lot of time.
+
+ */
+ for (int i = qscores.size (); i--;)
+ if (qscores[i].demerits < 100)
+ {
+ qscores[i].demerits
+ += score_slopes_dy (me, qscores[i].yl, qscores[i].yr,
+ dy_mus, yr- yl);
+ }
+
+ Real rad = Staff_symbol_referencer::staff_radius (me);
+ int beam_count = get_beam_count (me);
+ Real beam_space = beam_count < 4
+ ? (2*ss + slt - thickness) / 2.0
+ : (3*ss + slt - thickness) / 3.0;
+
+ for (int i = qscores.size (); i--;)
+ if (qscores[i].demerits < 100)
+ {
+ qscores[i].demerits
+ += score_forbidden_quants (me, qscores[i].yl, qscores[i].yr,
+ rad, slt, thickness, beam_space,
+ beam_count, ldir, rdir);
+ }
+
+
+ for (int i = qscores.size (); i--;)
+ if (qscores[i].demerits < 100)
+ {
+ qscores[i].demerits
+ += score_stem_lengths (stems, stem_infos,
+ lbase_lengths, rbase_lengths,
+ knee_b,
+ me, qscores[i].yl, qscores[i].yr);
+ }
+
+
+ Real best = 1e6;
+ int best_idx = -1;
+ for (int i = qscores.size (); i--;)
+ {
+ if (qscores[i].demerits < best)
+ {
+ best = qscores [i].demerits ;
+ best_idx = i;
+ }
+ }
+
+
+ me->set_grob_property ("positions",
+ gh_cons (gh_double2scm (qscores[best_idx].yl),
+ gh_double2scm (qscores[best_idx].yr))
+ );
+
+#if DEBUG_QUANTING
+
+ // debug quanting
+ me->set_grob_property ("quant-score",
+ gh_double2scm (qscores[best_idx].demerits));
+ me->set_grob_property ("best-idx", gh_int2scm (best_idx));
+#endif
+
+ return SCM_UNSPECIFIED;
+}
+
+Real
+Beam::score_stem_lengths (Link_array<Grob>stems,
+ Array<Stem_info> stem_infos,
+ Array<Real> left_factor,
+ Array<Real> right_factor,
+ bool knee,
+ Grob*me,
+ Real yl, Real yr)
+{
+ Real demerit_score = 0.0 ;
+ Real pen = STEM_LENGTH_LIMIT_PENALTY;
+
+ for (int i=0; i < stems.size (); i++)
+ {
+ Grob* s = stems[i];
+ if (Stem::invisible_b (s))
+ continue;
+
+ Real current_y =
+ yl * left_factor[i] + right_factor[i]* yr;
+
+ Stem_info info = stem_infos[i];
+ Direction d = info.dir_;
+
+ demerit_score += pen
+ * ( 0 >? (info.dir_ * (info.shortest_y_ - current_y)));
+
+ demerit_score += STEM_LENGTH_DEMERIT_FACTOR
+ * shrink_extra_weight (d * current_y - info.dir_ * info.ideal_y_);
+ }
+
+ demerit_score *= 2.0 / stems.size ();
+
+ return demerit_score;
+}
+
+Real
+Beam::score_slopes_dy (Grob *me,
+ Real yl, Real yr,
+ Real dy_mus, Real dy_damp)
+{
+ Real dy = yr - yl;
+
+ Real dem = 0.0;
+ if (sign (dy_damp) != sign (dy))
+ {
+ dem += DAMPING_DIRECTIION_PENALTY;
+ }
+
+ dem += MUSICAL_DIRECTION_FACTOR * (0 >? (fabs (dy) - fabs (dy_mus)));
+ dem += shrink_extra_weight (fabs (dy_damp) - fabs (dy))* IDEAL_SLOPE_FACTOR;
+
+ return dem;
+}
+
+static Real
+my_modf (Real x)
+{
+ return x - floor (x);
+}
+
+Real
+Beam::score_forbidden_quants (Grob*me,
+ Real yl, Real yr,
+ Real rad,
+ Real slt,
+ Real thickness, Real beam_space,
+ int beam_count,
+ Direction ldir, Direction rdir)
+{
+ Real dy = yr - yl;
+
+ Real dem = 0.0;
+ if (fabs (yl) < rad && fabs ( my_modf (yl) - 0.5) < 1e-3)
+ dem += INTER_QUANT_PENALTY;
+ if (fabs (yr) < rad && fabs ( my_modf (yr) - 0.5) < 1e-3)
+ dem += INTER_QUANT_PENALTY;
+
+ // todo: use beam_count of outer stems.
+ if (beam_count >= 2)
+ {
+
+ Real straddle = 0.0;
+ Real sit = (thickness - slt) / 2;
+ Real inter = 0.5;
+ Real hang = 1.0 - (thickness - slt) / 2;
+
+
+ if (fabs (yl - ldir * beam_space) < rad
+ && fabs (my_modf (yl) - inter) < 1e-3)
+ dem += SECONDARY_BEAM_DEMERIT;
+ if (fabs (yr - rdir * beam_space) < rad
+ && fabs (my_modf (yr) - inter) < 1e-3)
+ dem += SECONDARY_BEAM_DEMERIT;
+
+ Real eps = 1e-3;
+
+ /*
+ Can't we simply compute the distance between the nearest
+ staffline and the secondary beam? That would get rid of the
+ silly case analysis here (which is probably not when we have
+ different beam-thicknesses.)
+
+ --hwn
+ */
+
+
+ // hmm, without Interval/Drul_array, you get ~ 4x same code...
+ if (fabs (yl - ldir * beam_space) < rad + inter)
+ {
+ if (ldir == UP && dy <= eps
+ && fabs (my_modf (yl) - sit) < eps)
+ dem += SECONDARY_BEAM_DEMERIT;
+
+ if (ldir == DOWN && dy >= eps
+ && fabs (my_modf (yl) - hang) < eps)
+ dem += SECONDARY_BEAM_DEMERIT;
+ }
+
+ if (fabs (yr - rdir * beam_space) < rad + inter)
+ {
+ if (rdir == UP && dy >= eps
+ && fabs (my_modf (yr) - sit) < eps)
+ dem += SECONDARY_BEAM_DEMERIT;
+
+ if (rdir == DOWN && dy <= eps
+ && fabs (my_modf (yr) - hang) < eps)
+ dem += SECONDARY_BEAM_DEMERIT;
+ }
+
+ if (beam_count >= 3)
+ {
+ if (fabs (yl - 2 * ldir * beam_space) < rad + inter)
+ {
+ if (ldir == UP && dy <= eps
+ && fabs (my_modf (yl) - straddle) < eps)
+ dem += SECONDARY_BEAM_DEMERIT;
+
+ if (ldir == DOWN && dy >= eps
+ && fabs (my_modf (yl) - straddle) < eps)
+ dem += SECONDARY_BEAM_DEMERIT;
+ }
+
+ if (fabs (yr - 2 * rdir * beam_space) < rad + inter)
+ {
+ if (rdir == UP && dy >= eps
+ && fabs (my_modf (yr) - straddle) < eps)
+ dem += SECONDARY_BEAM_DEMERIT;
+
+ if (rdir == DOWN && dy <= eps
+ && fabs (my_modf (yr) - straddle) < eps)
+ dem += SECONDARY_BEAM_DEMERIT;
+ }
+ }
+ }
+
+ return dem;
+}
+
+
+
+MAKE_SCHEME_CALLBACK (Beam, least_squares, 1);
+SCM
+Beam::least_squares (SCM smob)
+{
+ Grob *me = unsmob_grob (smob);
+
+ int count = visible_stem_count (me);
+ Interval pos (0, 0);
+
+ if (count <= 1)
+ {
+ me->set_grob_property ("positions", ly_interval2scm (pos));
+ return SCM_UNSPECIFIED;
+ }
+
+ Interval ideal (Stem::calc_stem_info (first_visible_stem (me)).ideal_y_,
+ Stem::calc_stem_info (last_visible_stem (me)).ideal_y_);
+
+
+
+ Array<Real> x_posns ;
Link_array<Item> stems=
- Pointer_group_interface__extract_elements (me, (Item*)0, "stems");
+ Pointer_group_interface__extract_grobs (me, (Item*)0, "stems");
+ Grob *common = stems[0];
+ for (int i=1; i < stems.size (); i++)
+ common = stems[i]->common_refpoint (common, X_AXIS);
+ Real x0 = first_visible_stem (me)->relative_coordinate (common, X_AXIS);
for (int i=0; i < stems.size (); i++)
{
Item* s = stems[i];
- if (Stem::invisible_b (s))
- continue;
- if (gh_number_p (s->get_elt_property ("shorten")))
- s->set_elt_property ("shorten", gh_double2scm (shorten_f));
+
+ Real x = s->relative_coordinate (common, X_AXIS) - x0;
+ x_posns.push (x);
}
+ Real dx = last_visible_stem (me)->relative_coordinate (common, X_AXIS) - x0;
+
+ Real y =0;
+ Real dydx = 0;
+ Real dy = 0;
+
+ if (!ideal.delta ())
+ {
+ Interval chord (Stem::chord_start_y (first_visible_stem (me)),
+ Stem::chord_start_y (last_visible_stem (me)));
+
+
+ /*
+ TODO -- use scoring for this.
+
+ complicated, because we take stem-info.ideal for determining
+ beam slopes.
+ */
+ /* Make simple beam on middle line have small tilt */
+ if (!ideal[LEFT] && chord.delta () && count == 2)
+ {
+
+ /*
+ FIXME. -> UP
+ */
+ Direction d = (Direction) (sign (chord.delta ()) * UP);
+ pos[d] = gh_scm2double (me->get_grob_property ("thickness")) / 2;
+ // * dir;
+ pos[-d] = - pos[d];
+ }
+ else
+ {
+ pos = ideal;
+ }
+
+ y = pos[LEFT];
+ dy = pos[RIGHT]- y;
+ dydx = dy/dx;
+ }
+ else
+ {
+ Array<Offset> ideals;
+ for (int i=0; i < stems.size (); i++)
+ {
+ Item* s = stems[i];
+ if (Stem::invisible_b (s))
+ continue;
+ ideals.push (Offset (x_posns[i],
+ Stem::calc_stem_info (s).ideal_y_));
+ }
+ minimise_least_squares (&dydx, &y, ideals);
+
+ dy = dydx * dx;
+ me->set_grob_property ("least-squares-dy", gh_double2scm (dy));
+ pos = Interval (y, (y+dy));
+ }
+
+ me->set_grob_property ("positions", ly_interval2scm (pos));
+
+ return SCM_UNSPECIFIED;
}
+
/*
- Set elt properties height and y-position if not set.
- Adjust stem lengths to reach beam.
+ We can't combine with previous function, since check concave and
+ slope damping comes first.
*/
-MAKE_SCHEME_CALLBACK(Beam,after_line_breaking);
+MAKE_SCHEME_CALLBACK (Beam, shift_region_to_valid, 1);
SCM
-Beam::after_line_breaking (SCM smob)
+Beam::shift_region_to_valid (SCM grob)
{
- Score_element * me = unsmob_element (smob);
+ Grob *me = unsmob_grob (grob);
+ /*
+ Code dup.
+ */
+ Array<Real> x_posns ;
+ Link_array<Item> stems=
+ Pointer_group_interface__extract_grobs (me, (Item*)0, "stems");
+ Grob *common = stems[0];
+ for (int i=1; i < stems.size (); i++)
+ common = stems[i]->common_refpoint (common, X_AXIS);
- /* first, calculate y, dy */
- Real y, dy;
- calc_default_position_and_height (me, &y, &dy);
- if (visible_stem_count (me))
- {
- if (suspect_slope_b (me, y, dy))
- dy = 0;
+ Grob *fvs = first_visible_stem (me);
- Real damped_dy = calc_slope_damping_f (me, dy);
- Real quantised_dy = quantise_dy_f (me, damped_dy);
+ if (!fvs)
+ return SCM_UNSPECIFIED;
+
+ Real x0 =fvs->relative_coordinate (common, X_AXIS);
+ for (int i=0; i < stems.size (); i++)
+ {
+ Item* s = stems[i];
- y += (dy - quantised_dy) / 2;
- dy = quantised_dy;
+ Real x = s->relative_coordinate (common, X_AXIS) - x0;
+ x_posns.push (x);
}
+
+ Grob *lvs = last_visible_stem (me);
+ if (!lvs)
+ return SCM_UNSPECIFIED;
+
+ Real dx = lvs->relative_coordinate (common, X_AXIS) - x0;
+
+ Interval pos = ly_scm2interval ( me->get_grob_property ("positions"));
+ Real dy = pos.delta();
+ Real y = pos[LEFT];
+ Real dydx =dy/dx;
+
+
/*
- until here, we used only stem_info, which acts as if dir=up
+ Shift the positions so that we have a chance of finding good
+ quants (i.e. no short stem failures.)
*/
- y *= Directional_element_interface::get (me);
- dy *= Directional_element_interface::get (me);
+ Interval feasible_left_point;
+ feasible_left_point.set_full ();
+ for (int i=0; i < stems.size (); i++)
+ {
+ Item* s = stems[i];
+ if (Stem::invisible_b (s))
+ continue;
- Real half_space = Staff_symbol_referencer::staff_space (me) / 2;
+ Direction d = Stem::get_direction (s);
- /* weird: why do we do calc_position_and_height () ? regardless of
- this setting?
- */
- /* check for user-override of dy */
- SCM s = me->remove_elt_property ("height-hs");
- if (gh_number_p (s))
- {
- dy = gh_scm2double (s) * half_space;
- }
- me->set_elt_property ("height", gh_double2scm (dy));
+ Real left_y = Stem::calc_stem_info (s).shortest_y_
+ - dydx * x_posns [i];
+
+ Interval flp ;
+ flp.set_full ();
+ flp[-d] = left_y;
- /* check for user-override of y */
- s = me->remove_elt_property ("y-position-hs");
- if (gh_number_p (s))
+ feasible_left_point.intersect (flp);
+ }
+
+ if (feasible_left_point.empty_b())
{
- y = gh_scm2double (s) * half_space;
+ warning (_("Not sure that we can find a nice beam slope (no viable initial configuration found)."));
}
- else
- {
- /* we can modify y, so we should quantise y */
- Real y_shift = check_stem_length_f (me, y, dy);
- y += y_shift;
- y = quantise_y_f (me,y, dy, 0);
- set_stem_length (me, y, dy);
- y_shift = check_stem_length_f (me, y, dy);
-
- if (y_shift > half_space / 4)
- {
- y += y_shift;
-
- /*
- for significantly lengthened or shortened stems,
- request quanting the other way.
- */
- int quant_dir = 0;
- if (abs (y_shift) > half_space / 2)
- quant_dir = sign (y_shift) * Directional_element_interface::get (me);
- y = quantise_y_f (me, y, dy, quant_dir);
- }
+ else if (!feasible_left_point.elem_b(y))
+ {
+ if (isinf (feasible_left_point[DOWN]))
+ y = feasible_left_point[UP] - REGION_SIZE;
+ else if (isinf (feasible_left_point[UP]))
+ y = feasible_left_point[DOWN]+ REGION_SIZE;
+ else
+ y = feasible_left_point.center ();
}
- // UGH. Y is not in staff position unit?
- // Ik dacht datwe daar juist van weg wilden?
- set_stem_length (me, y, dy);
- me->set_elt_property ("y-position", gh_double2scm (y));
-
+ pos = Interval (y, (y+dy));
+ me->set_grob_property ("positions", ly_interval2scm (pos));
return SCM_UNSPECIFIED;
}
-/*
- See Documentation/tex/fonts.doc
- */
-void
-Beam::calc_default_position_and_height (Score_element*me,Real* y, Real* dy)
+
+MAKE_SCHEME_CALLBACK (Beam, check_concave, 1);
+SCM
+Beam::check_concave (SCM smob)
{
- *y = 0;
- *dy = 0;
- if (visible_stem_count (me) <= 1)
- return;
+ Grob *me = unsmob_grob (smob);
+
+ Link_array<Item> stems =
+ Pointer_group_interface__extract_grobs (me, (Item*) 0, "stems");
- Real first_ideal = Stem::calc_stem_info (first_visible_stem (me)).idealy_f_;
- if (first_ideal == Stem::calc_stem_info (last_visible_stem (me)).idealy_f_)
+ for (int i = 0; i < stems.size ();)
{
- *dy = 0;
- *y = first_ideal;
- return;
+ if (Stem::invisible_b (stems[i]))
+ stems.del (i);
+ else
+ i++;
}
+
+ if (stems.size () < 3)
+ return SCM_UNSPECIFIED;
- Array<Offset> ideals;
- // ugh -> use commonx
- Real x0 = first_visible_stem (me)->relative_coordinate (0, X_AXIS);
- Link_array<Item> stems=
- Pointer_group_interface__extract_elements (me, (Item*)0, "stems");
+ /* Concaveness #1: If distance of an inner notehead to line between
+ two outer noteheads is bigger than CONCAVENESS-GAP (2.0ss),
+ beam is concave (Heinz Stolba).
- for (int i=0; i < stems.size (); i++)
+ In the case of knees, the line connecting outer heads is often
+ not related to the beam slope (it may even go in the other
+ direction). Skip the check when the outer stems point in
+ different directions. --hwn
+
+ */
+ bool concaveness1 = false;
+ SCM gap = me->get_grob_property ("concaveness-gap");
+ if (gh_number_p (gap)
+ && Stem::get_direction(stems.top ())
+ == Stem::get_direction(stems[0]))
{
- Item* s = stems[i];
- if (Stem::invisible_b (s))
- continue;
- ideals.push (Offset (s->relative_coordinate (0, X_AXIS) - x0,
- Stem::calc_stem_info (s).idealy_f_));
+ Real r1 = gh_scm2double (gap);
+ Real dy = Stem::chord_start_y (stems.top ())
+ - Stem::chord_start_y (stems[0]);
+
+
+ Real slope = dy / (stems.size () - 1);
+
+ Real y0 = Stem::chord_start_y (stems[0]);
+ for (int i = 1; i < stems.size () - 1; i++)
+ {
+ Real c = (Stem::chord_start_y (stems[i]) - y0) - i * slope;
+ if (c > r1)
+ {
+ concaveness1 = true;
+ break;
+ }
+ }
}
- Real dydx;
- minimise_least_squares (&dydx, y, ideals); // duh, takes references
- Real dx = last_visible_stem (me)->relative_coordinate (0, X_AXIS) - x0;
- *dy = dydx * dx;
-}
+
+ /* Concaveness #2: Sum distances of inner noteheads that fall
+ outside the interval of the two outer noteheads.
-bool
-Beam::suspect_slope_b (Score_element*me, Real y, Real dy)
-{
- /* first, calculate y, dy */
- /*
- steep slope running against lengthened stem is suspect
+ We only do this for beams where first and last stem have the same
+ direction. --hwn.
+
+
+ Note that "convex" stems compensate for "concave" stems.
+ (is that intentional?) --hwn.
*/
- Real ss = me->paper_l ()->get_var ("staffspace");
- Real first_ideal = Stem::calc_stem_info (first_visible_stem (me)).idealy_f_;
- Real last_ideal = Stem::calc_stem_info (last_visible_stem (me)).idealy_f_;
- Real lengthened = gh_scm2double (me->get_elt_property ("outer-stem-length-limit")) * ss;
- Real steep = gh_scm2double (me->get_elt_property ("slope-limit"));
+
+ Real concaveness2 = 0;
+ SCM thresh = me->get_grob_property ("concaveness-threshold");
+ Real r2 = infinity_f;
+ if (!concaveness1 && gh_number_p (thresh)
+ && Stem::get_direction(stems.top ())
+ == Stem::get_direction(stems[0]))
+ {
+ r2 = gh_scm2double (thresh);
- // ugh -> use commonx
- Real dx = last_visible_stem (me)->relative_coordinate (0, X_AXIS) - first_visible_stem (me)->relative_coordinate (0, X_AXIS);
- Real dydx = dy && dx ? dy/dx : 0;
+ Direction dir = Stem::get_direction(stems.top ());
+ Real concave = 0;
+ Interval iv (Stem::chord_start_y (stems[0]),
+ Stem::chord_start_y (stems.top ()));
+
+ if (iv[MAX] < iv[MIN])
+ iv.swap ();
+
+ for (int i = 1; i < stems.size () - 1; i++)
+ {
+ Real f = Stem::chord_start_y (stems[i]);
+ concave += ((f - iv[MAX] ) >? 0) +
+ ((f - iv[MIN] ) <? 0);
+ }
+ concave *= dir;
+ concaveness2 = concave / (stems.size () - 2);
+
+ /* ugh: this is the a kludge to get
+ input/regression/beam-concave.ly to behave as
+ baerenreiter. */
- if (((y - first_ideal > lengthened) && (dydx > steep))
- || ((y + dy - last_ideal > lengthened) && (dydx < -steep)))
+ /*
+ huh? we're dividing twice (which is not scalable) meaning that
+ the longer the beam, the more unlikely it will be
+ concave. Maybe you would even expect the other way around??
+
+ --hwn.
+
+ */
+ concaveness2 /= (stems.size () - 2);
+ }
+
+ /* TODO: some sort of damping iso -> plain horizontal */
+ if (concaveness1 || concaveness2 > r2)
{
- return true;
+ Interval pos = ly_scm2interval (me->get_grob_property ("positions"));
+ Real r = pos.linear_combination (0);
+ me->set_grob_property ("positions", ly_interval2scm (Interval (r, r)));
+ me->set_grob_property ("least-squares-dy", gh_double2scm (0));
}
- return false;
+
+ return SCM_UNSPECIFIED;
}
-/*
- This neat trick is by Werner Lemberg,
- damped = tanh (slope)
- corresponds with some tables in [Wanske]
-*/
-Real
-Beam::calc_slope_damping_f (Score_element*me,Real dy)
+/* This neat trick is by Werner Lemberg,
+ damped = tanh (slope)
+ corresponds with some tables in [Wanske] CHECKME */
+MAKE_SCHEME_CALLBACK (Beam, slope_damping, 1);
+SCM
+Beam::slope_damping (SCM smob)
{
- SCM damp = me->get_elt_property ("damping");
- int damping = gh_scm2int (damp);
+ Grob *me = unsmob_grob (smob);
+
+ if (visible_stem_count (me) <= 1)
+ return SCM_UNSPECIFIED;
+
+ SCM s = me->get_grob_property ("damping");
+ int damping = gh_scm2int (s);
if (damping)
{
- // ugh -> use commonx
+ Interval pos = ly_scm2interval (me->get_grob_property ("positions"));
+ Real dy = pos.delta ();
+
+ // ugh -> use commonx
Real dx = last_visible_stem (me)->relative_coordinate (0, X_AXIS)
- first_visible_stem (me)->relative_coordinate (0, X_AXIS);
Real dydx = dy && dx ? dy/dx : 0;
dydx = 0.6 * tanh (dydx) / damping;
- return dydx * dx;
+
+ Real damped_dy = dydx * dx;
+ pos[LEFT] += (dy - damped_dy) / 2;
+ pos[RIGHT] -= (dy - damped_dy) / 2;
+
+ me->set_grob_property ("positions", ly_interval2scm (pos));
}
- return dy;
+ return SCM_UNSPECIFIED;
}
-Real
-Beam::calc_stem_y_f (Score_element*me,Item* s, Real y, Real dy)
+Slice
+where_are_the_whole_beams(SCM beaming)
{
- int beam_multiplicity = get_multiplicity (me);
- int stem_multiplicity = (Stem::flag_i (s) - 2) >? 0;
-
- Real staffspace = me->paper_l ()->get_var ("staffspace");
+ Slice l;
- SCM space_proc = me->get_elt_property ("space-function");
- SCM space = gh_call1 (space_proc, gh_int2scm (beam_multiplicity));
-
- Real thick = gh_scm2double (me->get_elt_property ("thickness")) *staffspace;
- Real interbeam_f = gh_scm2double (space) * staffspace;
-
- // ugh -> use commonx
- Real x0 = first_visible_stem (me)->relative_coordinate (0, X_AXIS);
- Real dx = last_visible_stem (me)->relative_coordinate (0, X_AXIS) - x0;
- Real stem_y = (dy && dx ? (s->relative_coordinate (0, X_AXIS) - x0) / dx * dy : 0) + y;
+ for( SCM s = gh_car (beaming); gh_pair_p (s) ; s = gh_cdr (s))
+ {
+ if (scm_memq (gh_car (s), gh_cdr (beaming)) != SCM_BOOL_F)
+
+ l.add_point (gh_scm2int (gh_car (s)));
+ }
- /* knee */
- Direction dir = Directional_element_interface::get (me);
- Direction sdir = Directional_element_interface::get (s);
-
- /* knee */
- if (dir!= sdir)
- {
- stem_y -= dir
- * (thick / 2 + (beam_multiplicity - 1) * interbeam_f);
+ return l;
+}
+/*
+ Calculate the Y position of the stem-end, given the Y-left, Y-right
+ in POS, and for stem S.
-
- // huh, why not for first visible?
- if (Staff_symbol_referencer::staff_symbol_l (s)
- != Staff_symbol_referencer::staff_symbol_l (last_visible_stem (me)))
- stem_y += Directional_element_interface::get (me)
- * (beam_multiplicity - stem_multiplicity) * interbeam_f;
- }
+ If CORRECT, correct for beam_count of beam in case of knees.
- return stem_y;
-}
+ TODO: junk CORRECT from this.
+ */
Real
-Beam::check_stem_length_f (Score_element*me,Real y, Real dy)
+Beam::calc_stem_y (Grob *me, Grob* s, Interval pos, bool french)
{
- Real shorten = 0;
- Real lengthen = 0;
- Direction dir = Directional_element_interface::get (me);
-
- Link_array<Item> stems=
- Pointer_group_interface__extract_elements (me, (Item*)0, "stems");
+ Real thick = gh_scm2double (me->get_grob_property ("thickness"));
+ Real beam_space = get_beam_space (me);
- for (int i=0; i < stems.size(); i++)
- {
- Item* s = stems[i];
- if (Stem::invisible_b (s))
- continue;
+ // ugh -> use commonx
+ Grob * fvs = first_visible_stem (me);
+ Grob *lvs = last_visible_stem (me);
+
+ Real x0 = fvs ? fvs->relative_coordinate (0, X_AXIS) : 0.0;
+ Real dx = fvs ? lvs->relative_coordinate (0, X_AXIS) - x0 : 0.0;
+ Real r = s->relative_coordinate (0, X_AXIS) - x0;
+ Real dy = pos.delta ();
+ Real stem_y_beam0 = (dy && dx
+ ? r / dx
+ * dy
+ : 0) + pos[LEFT];
- Real stem_y = calc_stem_y_f (me, s, y, dy);
-
- stem_y *= dir;
- Stem_info info = Stem::calc_stem_info (s);
- // if (0 > info.maxy_f_ - stem_y)
- shorten = shorten <? info.maxy_f_ - stem_y;
- // if (0 < info.miny_f_ - stem_y)
- lengthen = lengthen >? info.miny_f_ - stem_y;
+
+ Direction my_dir = Directional_element_interface::get (s);
+ SCM beaming = s->get_grob_property ("beaming");
+
+ Real stem_y = stem_y_beam0;
+ if (french)
+ {
+ stem_y += beam_space * where_are_the_whole_beams (beaming)[-my_dir];
+ }
+ else
+ {
+ stem_y += (stem_beam_multiplicity(s)[my_dir]) * beam_space;
}
- if (lengthen && shorten)
- warning (_ ("weird beam vertical offset"));
-
- /* when all stems are too short, normal stems win */
- return dir * ((shorten) ? shorten : lengthen);
+ return stem_y;
}
/*
stem directions and length should set to relative to the chord's
position of the beam. */
void
-Beam::set_stem_length (Score_element*me,Real y, Real dy)
+Beam::set_stem_lengths (Grob *me)
{
- Real half_space = Staff_symbol_referencer::staff_space (me)/2;
Link_array<Item> stems=
- Pointer_group_interface__extract_elements (me, (Item*)0, "stems");
+ Pointer_group_interface__extract_grobs (me, (Item*)0, "stems");
+
+ if (stems.size () <= 1)
+ return;
+
+ Grob *common = me->common_refpoint (stems[0], Y_AXIS);
+ for (int i=1; i < stems.size (); i++)
+ if (!Stem::invisible_b (stems[i]))
+ common = common->common_refpoint (stems[i], Y_AXIS);
+ Interval pos = ly_scm2interval (me->get_grob_property ("positions"));
+ Real staff_space = Staff_symbol_referencer::staff_space (me);
+ bool french = to_boolean (me->get_grob_property ("french-beaming"));
+
for (int i=0; i < stems.size (); i++)
{
Item* s = stems[i];
if (Stem::invisible_b (s))
continue;
- Real stem_y = calc_stem_y_f (me, s, y, dy);
+ Real stem_y = calc_stem_y (me, s, pos, french && i > 0&& (i < stems.size () -1));
/* caution: stem measures in staff-positions */
- Stem::set_stemend (s,(stem_y + calc_interstaff_dist (s, dynamic_cast<Spanner*> (me))) / half_space);
+ Real id = me->relative_coordinate (common, Y_AXIS)
+ - stems[i]->relative_coordinate (common, Y_AXIS);
+ Stem::set_stemend (s, (stem_y + id) / staff_space * 2);
}
}
-/*
- [Ross] (simplification of)
- Set dy complying with:
- - zero
- - thick / 2 + staffline_f / 2
- - thick + staffline_f
- + n * staff_space
-*/
-Real
-Beam::quantise_dy_f (Score_element*me,Real dy)
-{
- Array<Real> a;
-
- SCM proc = me->get_elt_property ("height-quants");
- SCM quants = gh_call2 (proc, me->self_scm (),
- gh_double2scm (me->paper_l ()->get_var ("stafflinethickness")
- / me->paper_l ()->get_var ("staffspace")));
-
-
- for (SCM s = quants; gh_pair_p (s); s = gh_cdr (s))
- a.push (gh_scm2double (gh_car (s)));
-
- if (a.size () <= 1)
- return dy;
-
- Real staff_space = Staff_symbol_referencer::staff_space (me);
-
- Interval iv = quantise_iv (a, abs (dy)/staff_space) * staff_space;
- Real q = (abs (dy) - iv[SMALLER] <= iv[BIGGER] - abs (dy))
- ? iv[SMALLER]
- : iv[BIGGER];
-
- return q * sign (dy);
-}
-
-/*
- Prevent interference from stafflines and beams.
- See Documentation/tex/fonts.doc
-
- We only need to quantise the (left) y-position of the beam,
- since dy is quantised too.
- if extend_b then stems must *not* get shorter
- */
-Real
-Beam::quantise_y_f (Score_element*me,Real y, Real dy, int quant_dir)
-{
- int multiplicity = get_multiplicity (me);
-
- Real staff_space = Staff_symbol_referencer::staff_space (me);
- Real thick = me->paper_l ()->get_var ("stafflinethickness");
-
-
- SCM proc = me->get_elt_property ("vertical-position-quant-function");
- SCM quants = scm_apply (proc,
- me->self_scm (),
- gh_list (gh_int2scm (multiplicity),
- gh_double2scm (dy/staff_space),
- gh_double2scm (thick/staff_space),
- SCM_EOL, SCM_UNDEFINED));
-
- Array<Real> a;
-
- for (; gh_pair_p (quants); quants = gh_cdr (quants))
- a.push (gh_scm2double (gh_car (quants)));
-
- if (a.size () <= 1)
- return y;
-
- Real up_y = Directional_element_interface::get (me) * y;
- Interval iv = quantise_iv (a, up_y/staff_space) * staff_space;
-
- Real q = up_y - iv[SMALLER] <= iv[BIGGER] - up_y
- ? iv[SMALLER] : iv[BIGGER];
- if (quant_dir)
- q = iv[(Direction)quant_dir];
-
- return q * Directional_element_interface::get (me);
-}
-
void
-Beam::set_beaming (Score_element*me,Beaming_info_list *beaming)
+Beam::set_beaming (Grob *me, Beaming_info_list *beaming)
{
- Link_array<Score_element> stems=
- Pointer_group_interface__extract_elements (me, (Score_element*)0, "stems");
+ Link_array<Grob> stems=
+ Pointer_group_interface__extract_grobs (me, (Grob *)0, "stems");
Direction d = LEFT;
- for (int i=0; i < stems.size(); i++)
+ for (int i=0; i < stems.size (); i++)
{
- do
- {
- if (Stem::beam_count (stems[i], d) == 0)
- Stem::set_beaming ( stems[i], beaming->infos_.elem (i).beams_i_drul_[d],d);
- }
- while (flip (&d) != LEFT);
- }
-}
-
-
-
-/*
- beams to go with one stem.
-
- FIXME: clean me up.
- */
-Molecule
-Beam::stem_beams (Score_element*me,Item *here, Item *next, Item *prev)
-{
- // ugh -> use commonx
- if ((next && !(next->relative_coordinate (0, X_AXIS) > here->relative_coordinate (0, X_AXIS))) ||
- (prev && !(prev->relative_coordinate (0, X_AXIS) < here->relative_coordinate (0, X_AXIS))))
- programming_error ("Beams are not left-to-right");
-
- Real staffline_f = me->paper_l ()->get_var ("stafflinethickness");
- int multiplicity = get_multiplicity (me);
- Real staffspace =me->paper_l ()->get_var ("staffspace");
-
- SCM space_proc = me->get_elt_property ("space-function");
- SCM space = gh_call1 (space_proc, gh_int2scm (multiplicity));
-
- Real thick = gh_scm2double (me->get_elt_property ("thickness")) *staffspace;
- Real interbeam_f = gh_scm2double (space) * staffspace;
-
- Real bdy = interbeam_f;
- Real stemdx = staffline_f;
-
- // ugh -> use commonx
- Real dx = visible_stem_count (me) ?
- last_visible_stem (me)->relative_coordinate (0, X_AXIS) - first_visible_stem (me)->relative_coordinate (0, X_AXIS)
- : 0.0;
- Real dy = gh_scm2double (me->get_elt_property ("height"));
- Real dydx = dy && dx ? dy/dx : 0;
-
- Molecule leftbeams;
- Molecule rightbeams;
-
- Real nw_f;
- if (!Stem::first_head (here))
- nw_f = 0;
- else {
- int t = Stem::type_i (here);
-
- SCM proc = me->get_elt_property ("flag-width-function");
- SCM result = gh_call1 (proc, gh_int2scm (t));
- nw_f = gh_scm2double (result) * staffspace;
- }
-
-
- Direction dir = Directional_element_interface::get (me);
-
- /* half beams extending to the left. */
- if (prev)
- {
- int lhalfs= lhalfs = Stem::beam_count (here,LEFT) - Stem::beam_count (prev,RIGHT);
- int lwholebeams= Stem::beam_count (here,LEFT) <? Stem::beam_count (prev,RIGHT) ;
/*
- Half beam should be one note-width,
- but let's make sure two half-beams never touch
+ Don't overwrite user settings.
*/
- Real w = here->relative_coordinate (0, X_AXIS) - prev->relative_coordinate (0, X_AXIS);
- w = w/2 <? nw_f;
- Molecule a;
- if (lhalfs) // generates warnings if not
- a = me->lookup_l ()->beam (dydx, w, thick);
- a.translate (Offset (-w, -w * dydx));
- for (int j = 0; j < lhalfs; j++)
+
+ do
{
- Molecule b (a);
- b.translate_axis (-dir * bdy * (lwholebeams+j), Y_AXIS);
- leftbeams.add_molecule (b);
- }
- }
-
- if (next)
- {
- int rhalfs = Stem::beam_count (here,RIGHT) - Stem::beam_count (next,LEFT);
- int rwholebeams= Stem::beam_count (here,RIGHT) <? Stem::beam_count (next,LEFT) ;
+ /* Don't set beaming for outside of outer stems */
+ if ((d == LEFT && i == 0)
+ ||(d == RIGHT && i == stems.size () -1))
+ continue;
- Real w = next->relative_coordinate (0, X_AXIS) - here->relative_coordinate (0, X_AXIS);
- Molecule a = me->lookup_l ()->beam (dydx, w + stemdx, thick);
- a.translate_axis( - stemdx/2, X_AXIS);
- int j = 0;
- Real gap_f = 0;
- SCM gap = me->get_elt_property ("gap");
- if (gh_number_p (gap))
- {
- int gap_i = gh_scm2int ( (gap));
- int nogap = rwholebeams - gap_i;
-
- for (; j < nogap; j++)
+ SCM beaming_prop = stems[i]->get_grob_property ("beaming");
+ if (beaming_prop == SCM_EOL ||
+ index_get_cell (beaming_prop, d) == SCM_EOL)
{
- Molecule b (a);
- b.translate_axis (-dir * bdy * j, Y_AXIS);
- rightbeams.add_molecule (b);
+ int b = beaming->infos_.elem (i).beams_i_drul_[d];
+ Stem::set_beaming (stems[i], b, d);
}
- // TODO: notehead widths differ for different types
- gap_f = nw_f / 2;
- w -= 2 * gap_f;
- a = me->lookup_l ()->beam (dydx, w + stemdx, thick);
- }
-
- for (; j < rwholebeams; j++)
- {
- Molecule b (a);
- b.translate (Offset (Stem::invisible_b (here) ? 0 : gap_f, -dir * bdy * j));
- rightbeams.add_molecule (b);
- }
-
- w = w/2 <? nw_f;
- if (rhalfs)
- a = me->lookup_l ()->beam (dydx, w, thick);
-
- for (; j < rwholebeams + rhalfs; j++)
- {
- Molecule b (a);
- b.translate_axis (- dir * bdy * j, Y_AXIS);
- rightbeams.add_molecule (b);
}
-
- }
- leftbeams.add_molecule (rightbeams);
-
- /*
- Does beam quanting think of the asymetry of beams?
- Refpoint is on bottom of symbol. (FIXTHAT) --hwn.
- */
- return leftbeams;
-}
-
-MAKE_SCHEME_CALLBACK(Beam,brew_molecule);
-SCM
-Beam::brew_molecule (SCM smob)
-{
- Score_element * me =unsmob_element (smob);
-
- Molecule mol;
- if (!gh_pair_p (me->get_elt_property ("stems")))
- return SCM_EOL;
- Real x0,dx;
- Link_array<Item>stems =
- Pointer_group_interface__extract_elements (me, (Item*) 0, "stems");
- if (visible_stem_count (me))
- {
- // ugh -> use commonx
- x0 = first_visible_stem (me)->relative_coordinate (0, X_AXIS);
- dx = last_visible_stem (me)->relative_coordinate (0, X_AXIS) - x0;
- }
- else
- {
- x0 = stems[0]->relative_coordinate (0, X_AXIS);
- dx = stems.top()->relative_coordinate (0, X_AXIS) - x0;
- }
-
-
- Real dy = gh_scm2double (me->get_elt_property ("height"));
- Real dydx = dy && dx ? dy/dx : 0;
- Real y = gh_scm2double (me->get_elt_property ("y-position"));
-
-
- for (int j=0; j <stems.size (); j++)
- {
- Item *i = stems[j];
- Item * prev = (j > 0)? stems[j-1] : 0;
- Item * next = (j < stems.size()-1) ? stems[j+1] :0;
-
- Molecule sb = stem_beams (me, i, next, prev);
- Real x = i->relative_coordinate (0, X_AXIS)-x0;
- sb.translate (Offset (x, x * dydx + y));
- mol.add_molecule (sb);
+ while (flip (&d) != LEFT);
}
- mol.translate_axis (x0
- - dynamic_cast<Spanner*> (me)->get_bound (LEFT)->relative_coordinate (0, X_AXIS), X_AXIS);
-
- return mol.create_scheme ();
}
int
-Beam::forced_stem_count (Score_element*me)
+Beam::forced_stem_count (Grob *me)
{
Link_array<Item>stems =
- Pointer_group_interface__extract_elements ( me, (Item*) 0, "stems");
+ Pointer_group_interface__extract_grobs (me, (Item*) 0, "stems");
int f = 0;
for (int i=0; i < stems.size (); i++)
{
if (Stem::invisible_b (s))
continue;
- if (((int)Stem::chord_start_f (s))
- && (Stem::get_direction (s ) != Stem::get_default_dir (s )))
+ if (((int)Stem::chord_start_y (s))
+ && (Stem::get_direction (s) != Stem::get_default_dir (s)))
f++;
}
return f;
-/* TODO:
- use filter and standard list functions.
- */
int
-Beam::visible_stem_count (Score_element*me)
+Beam::visible_stem_count (Grob *me)
{
Link_array<Item>stems =
- Pointer_group_interface__extract_elements (me, (Item*) 0, "stems");
+ Pointer_group_interface__extract_grobs (me, (Item*) 0, "stems");
int c = 0;
for (int i = stems.size (); i--;)
{
}
Item*
-Beam::first_visible_stem(Score_element*me)
+Beam::first_visible_stem (Grob *me)
{
Link_array<Item>stems =
- Pointer_group_interface__extract_elements ( me, (Item*) 0, "stems");
+ Pointer_group_interface__extract_grobs (me, (Item*) 0, "stems");
for (int i = 0; i < stems.size (); i++)
{
}
Item*
-Beam::last_visible_stem(Score_element*me)
+Beam::last_visible_stem (Grob *me)
{
Link_array<Item>stems =
- Pointer_group_interface__extract_elements ( me, (Item*) 0, "stems");
+ Pointer_group_interface__extract_grobs (me, (Item*) 0, "stems");
for (int i = stems.size (); i--;)
{
if (!Stem::invisible_b (stems[i]))
/*
[TODO]
+
handle rest under beam (do_post: beams are calculated now)
what about combination of collisions and rest under beam.
rest -> stem -> beam -> interpolate_y_position ()
*/
-Real
-Beam::rest_collision_callback (Score_element *rest, Axis a )
+MAKE_SCHEME_CALLBACK (Beam, rest_collision_callback, 2);
+SCM
+Beam::rest_collision_callback (SCM element_smob, SCM axis)
{
+ Grob *rest = unsmob_grob (element_smob);
+ Axis a = (Axis) gh_scm2int (axis);
+
assert (a == Y_AXIS);
- Score_element * st = unsmob_element (rest->get_elt_property ("stem"));
- Score_element * stem = st;
+ Grob *st = unsmob_grob (rest->get_grob_property ("stem"));
+ Grob *stem = st;
if (!stem)
- return 0.0;
- Score_element * beam = unsmob_element (stem->get_elt_property ("beam"));
- if (!beam || !Beam::has_interface (beam) || !Beam::visible_stem_count (beam))
- return 0.0;
+ return gh_double2scm (0.0);
+ Grob *beam = unsmob_grob (stem->get_grob_property ("beam"));
+ if (!beam
+ || !Beam::has_interface (beam)
+ || !Beam::visible_stem_count (beam))
+ return gh_double2scm (0.0);
// make callback for rest from this.
- Real beam_dy = 0;
- Real beam_y = 0;
+ // todo: make sure this calced already.
+ // Interval pos = ly_scm2interval (beam->get_grob_property ("positions"));
+ Interval pos (0, 0);
+ SCM s = beam->get_grob_property ("positions");
+ if (gh_pair_p (s) && gh_number_p (ly_car (s)))
+ pos = ly_scm2interval (s);
- // todo: make sure this calced already.
- SCM s = beam->get_elt_property ("height");
- if (gh_number_p (s))
- beam_dy = gh_scm2double (s);
-
- s = beam->get_elt_property ("y-position");
- if (gh_number_p (s))
- beam_y = gh_scm2double (s);
-
+ Real dy = pos.delta ();
// ugh -> use commonx
- Real x0 = first_visible_stem(beam)->relative_coordinate (0, X_AXIS);
- Real dx = last_visible_stem(beam)->relative_coordinate (0, X_AXIS) - x0;
- Real dydx = beam_dy && dx ? beam_dy/dx : 0;
-
+ Real x0 = first_visible_stem (beam)->relative_coordinate (0, X_AXIS);
+ Real dx = last_visible_stem (beam)->relative_coordinate (0, X_AXIS) - x0;
+ Real dydx = dy && dx ? dy/dx : 0;
+
Direction d = Stem::get_direction (stem);
- Real beamy = (stem->relative_coordinate (0, X_AXIS) - x0) * dydx + beam_y;
+ Real beamy = (stem->relative_coordinate (0, X_AXIS) - x0) * dydx + pos[LEFT];
- Real staff_space = Staff_symbol_referencer::staff_space (rest);
- Real rest_dim = rest->extent (Y_AXIS)[d]*2.0 / staff_space ;
+ Real staff_space = Staff_symbol_referencer::staff_space (rest);
+
+
+ Real rest_dim = rest->extent (rest, Y_AXIS)[d]*2.0 / staff_space; // refp??
Real minimum_dist
- = gh_scm2double (rest->get_elt_property ("minimum-beam-collision-distance"));
+ = gh_scm2double (rest->get_grob_property ("minimum-beam-collision-distance"));
Real dist =
minimum_dist + -d * (beamy - rest_dim) >? 0;
if (discrete_dist < stafflines+1)
discrete_dist = int (ceil (discrete_dist / 2.0)* 2.0);
- return (-d * discrete_dist);
+ return gh_double2scm (-d * discrete_dist);
}
-bool
-Beam::has_interface (Score_element*me)
-{
- return me->has_interface (ly_symbol2scm ("beam-interface"));
-}
-void
-Beam::set_interface (Score_element*me)
-{
- Pointer_group_interface g (me, "stems");
- g.set_interface ();
- /*
- why the init? No way to tell difference between default and user
- override. */
- me->set_elt_property ("height", gh_int2scm (0)); // ugh.
- me->set_elt_property ("y-position" ,gh_int2scm (0));
- me->set_interface (ly_symbol2scm("beam-interface"));
-}
+ADD_INTERFACE (Beam, "beam-interface",
+ "A beam.
+
+#'thickness= weight of beams, in staffspace
+
+
+We take the least squares line through the ideal-length stems, and
+then damp that using
+
+ damped = tanh (slope)
+
+this gives an unquantized left and right position for the beam end.
+Then we take all combinations of quantings near these left and right
+positions, and give them a score (according to how close they are to
+the ideal slope, how close the result is to the ideal stems, etc.). We
+take the best scoring combination.
+
+",
+ "french-beaming position-callbacks concaveness-gap concaveness-threshold dir-function quant-score auto-knee-gap gap chord-tremolo beamed-stem-shorten shorten least-squares-dy damping flag-width-function neutral-direction positions space-function thickness");
+
+