CVSROOT: /cvsroot/lilypond
Module name: lilypond
Branch: lilypond_2_6
Changes by: Han-Wen Nienhuys <[EMAIL PROTECTED]> 05/08/04 15:57:47
Modified files:
. : ChangeLog
lily : beam.cc
Log message:
(shift_region_to_valid): prevent division by
zero. Fixes beams across line breaks with 1 stem after the break.
CVSWeb URLs:
http://savannah.gnu.org/cgi-bin/viewcvs/lilypond/lilypond/ChangeLog.diff?only_with_tag=lilypond_2_6&tr1=1.3836.2.17&tr2=1.3836.2.18&r1=text&r2=text
http://savannah.gnu.org/cgi-bin/viewcvs/lilypond/lilypond/lily/beam.cc.diff?only_with_tag=lilypond_2_6&tr1=1.302&tr2=1.302.2.1&r1=text&r2=text
Patches:
Index: lilypond/ChangeLog
diff -u lilypond/ChangeLog:1.3836.2.17 lilypond/ChangeLog:1.3836.2.18
--- lilypond/ChangeLog:1.3836.2.17 Thu Aug 4 11:11:29 2005
+++ lilypond/ChangeLog Thu Aug 4 15:57:47 2005
@@ -1,5 +1,10 @@
2005-08-04 Han-Wen Nienhuys <[EMAIL PROTECTED]>
-
+
+ * lily/beam.cc (shift_region_to_valid): prevent division by
+ zero. Fixes beams across line breaks with 1 stem after the break.
+
+ * VERSION: release 2.6.3
+
* lily/auto-beam-engraver.cc (derived_mark): new method. Yes. We
have to protect even those unlikely-to-be-corrupted data members.
Index: lilypond/lily/beam.cc
diff -u /dev/null lilypond/lily/beam.cc:1.302.2.1
--- /dev/null Thu Aug 4 15:57:48 2005
+++ lilypond/lily/beam.cc Thu Aug 4 15:57:47 2005
@@ -0,0 +1,1413 @@
+/*
+ beam.cc -- implement Beam
+
+ source file of the GNU LilyPond music typesetter
+
+ (c) 1997--2005 Han-Wen Nienhuys <[EMAIL PROTECTED]>
+ Jan Nieuwenhuizen <[EMAIL PROTECTED]>
+*/
+
+/*
+ TODO:
+
+ - Determine auto knees based on positions if it's set by the user.
+
+ - the code is littered with * and / staff_space calls for
+ #'positions. Consider moving to real-world coordinates?
+
+ Problematic issue is user tweaks (user tweaks are in staff-coordinates.)
+
+ Notes:
+
+ - Stems run to the Y-center of the beam.
+
+ - beam_translation is the offset between Y centers of the beam.
+*/
+
+#include <math.h> // tanh.
+
+#include "beam.hh"
+#include "interval-set.hh"
+#include "directional-element-interface.hh"
+#include "beaming.hh"
+#include "misc.hh"
+#include "least-squares.hh"
+#include "stem.hh"
+#include "output-def.hh"
+#include "lookup.hh"
+#include "group-interface.hh"
+#include "staff-symbol-referencer.hh"
+#include "item.hh"
+#include "spanner.hh"
+#include "warn.hh"
+
+#if DEBUG_QUANTING
+#include "text-interface.hh" // debug output.
+#include "font-interface.hh" // debug output.
+#endif
+
+void
+Beam::add_stem (Grob *me, Grob *s)
+{
+ Pointer_group_interface::add_grob (me, ly_symbol2scm ("stems"), s);
+
+ s->add_dependency (me);
+
+ assert (!Stem::get_beam (s));
+ s->set_property ("beam", me->self_scm ());
+
+ add_bound_item (dynamic_cast<Spanner *> (me), dynamic_cast<Item *> (s));
+}
+
+Real
+Beam::get_thickness (Grob *me)
+{
+ return robust_scm2double (me->get_property ("thickness"), 0)
+ * Staff_symbol_referencer::staff_space (me);
+}
+
+/* Return the translation between 2 adjoining beams. */
+Real
+Beam::get_beam_translation (Grob *me)
+{
+ SCM func = me->get_property ("space-function");
+
+ if (ly_c_procedure_p (func))
+ {
+ SCM s = scm_call_2 (func, me->self_scm (), scm_int2num (get_beam_count
(me)));
+ return scm_to_double (s);
+ }
+ else
+ {
+ return 0.81;
+ }
+}
+
+/* Maximum beam_count. */
+int
+Beam::get_beam_count (Grob *me)
+{
+ int m = 0;
+ for (SCM s = me->get_property ("stems"); scm_is_pair (s); s = scm_cdr (s))
+ {
+ Grob *stem = unsmob_grob (scm_car (s));
+ m = max (m, (Stem::beam_multiplicity (stem).length () + 1));
+ }
+ return m;
+}
+
+/*
+ Space return space between beams.
+*/
+MAKE_SCHEME_CALLBACK (Beam, space_function, 2);
+SCM
+Beam::space_function (SCM smob, SCM beam_count)
+{
+ Grob *me = unsmob_grob (smob);
+
+ Real staff_space = Staff_symbol_referencer::staff_space (me);
+ Real line = Staff_symbol_referencer::line_thickness (me);
+ Real thickness = get_thickness (me);
+
+ Real beam_translation = scm_to_int (beam_count) < 4
+ ? (2 * staff_space + line - thickness) / 2.0
+ : (3 * staff_space + line - thickness) / 3.0;
+
+ return scm_make_real (beam_translation);
+}
+
+/* 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)
+ {
+ SCM stems = me->get_property ("stems");
+ if (scm_ilength (stems) == 1)
+ {
+ me->warning (_ ("removing beam with less than two stems"));
+
+ unsmob_grob (scm_car (stems))->set_property ("beam", SCM_EOL);
+ 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);
+ set_stem_directions (me, d);
+
+ connect_beams (me);
+
+ set_stem_shorten (me);
+ }
+
+ return SCM_EOL;
+}
+
+/* We want a maximal number of shared beams, but if there is choice, we
+ * take the one that is closest to the end of the stem. This is for
+ * situations like
+ *
+ * x
+ * |
+ * |
+ * |===|
+ * |=
+ * |
+ * x
+ */
+int
+position_with_maximal_common_beams (SCM left_beaming, SCM right_beaming,
+ Direction left_dir,
+ Direction right_dir)
+{
+ Slice lslice = int_list_to_slice (scm_cdr (left_beaming));
+
+ int best_count = 0;
+ int best_start = 0;
+ for (int i = lslice[-left_dir];
+ (i - lslice[left_dir]) * left_dir <= 0; i += left_dir)
+ {
+ int count = 0;
+ for (SCM s = scm_car (right_beaming); scm_is_pair (s); s = scm_cdr (s))
+ {
+ int k = -right_dir * scm_to_int (scm_car (s)) + i;
+ if (scm_c_memq (scm_int2num (k), left_beaming) != SCM_BOOL_F)
+ count++;
+ }
+
+ if (count >= best_count)
+ {
+ best_count = count;
+ best_start = i;
+ }
+ }
+
+ return best_start;
+}
+
+void
+Beam::connect_beams (Grob *me)
+{
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+
+ Slice last_int;
+ last_int.set_empty ();
+ SCM last_beaming = SCM_EOL;
+ Direction last_dir = CENTER;
+ for (int i = 0; i < stems.size (); i++)
+ {
+ Grob *this_stem = stems[i];
+ SCM this_beaming = this_stem->get_property ("beaming");
+
+ Direction this_dir = get_grob_direction (this_stem);
+ if (scm_is_pair (last_beaming) && scm_is_pair (this_beaming))
+ {
+ int start_point = position_with_maximal_common_beams
+ (last_beaming, this_beaming,
+ last_dir, 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 (; scm_is_pair (s); s = scm_cdr (s))
+ {
+ int new_beam_pos
+ = start_point - this_dir * scm_to_int (scm_car (s));
+
+ new_slice.add_point (new_beam_pos);
+ scm_set_car_x (s, scm_int2num (new_beam_pos));
+ }
+ }
+ while (flip (&d) != LEFT);
+
+ if (!new_slice.is_empty ())
+ last_int = new_slice;
+ }
+ else
+ {
+ scm_set_car_x (this_beaming, SCM_EOL);
+ SCM s = scm_cdr (this_beaming);
+ for (; scm_is_pair (s); s = scm_cdr (s))
+ {
+ int np = -this_dir * scm_to_int (scm_car (s));
+ scm_set_car_x (s, scm_int2num (np));
+ last_int.add_point (np);
+ }
+ }
+
+ if (i == stems.size () -1)
+ {
+ scm_set_cdr_x (this_beaming, SCM_EOL);
+ }
+
+ if (scm_ilength (scm_cdr (this_beaming)) > 0)
+ {
+ last_beaming = this_beaming;
+ last_dir = this_dir;
+ }
+ }
+}
+
+/*
+ TODO: should not make beams per stem, but per Y-level.
+*/
+MAKE_SCHEME_CALLBACK (Beam, print, 1);
+SCM
+Beam::print (SCM grob)
+{
+ Spanner *me = unsmob_spanner (grob);
+ position_beam (me);
+
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+ Grob *xcommon = common_refpoint_of_array (stems, me, X_AXIS);
+
+ xcommon = me->get_bound (LEFT)->common_refpoint (xcommon, X_AXIS);
+ xcommon = me->get_bound (RIGHT)->common_refpoint (xcommon, 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_property ("positions");
+ Drul_array<Real> pos;
+ if (!is_number_pair (posns))
+ {
+ programming_error ("no beam positions?");
+ pos = Interval (0, 0);
+ }
+ else
+ pos = ly_scm2realdrul (posns);
+
+ scale_drul (&pos, Staff_symbol_referencer::staff_space (me));
+
+ Real dy = pos[RIGHT] - pos[LEFT];
+ Real slope = (dy && dx) ? dy / dx : 0;
+
+ Real thick = get_thickness (me);
+ Real bdy = get_beam_translation (me);
+
+ SCM last_beaming = SCM_EOL;
+ Real last_xposn = -1;
+ Real last_stem_width = -1;
+
+ Real gap_length = robust_scm2double (me->get_property ("gap"), 0.0);
+
+ Stencil the_beam;
+ Real lt = me->get_layout ()->get_dimension (ly_symbol2scm ("linethickness"));
+
+ for (int i = 0; i <= stems.size (); i++)
+ {
+ Grob *st = (i < stems.size ()) ? stems[i] : 0;
+
+ SCM this_beaming = st ? st->get_property ("beaming") : SCM_EOL;
+ Real xposn = st ? st->relative_coordinate (xcommon, X_AXIS) : 0.0;
+ Real stem_width = st ? robust_scm2double (st->get_property
("thickness"), 1.0) * lt : 0;
+ Direction stem_dir = st ? to_dir (st->get_property ("direction")) :
CENTER;
+ /*
+ We do the space left of ST, with lfliebertjes pointing to the
+ right from the left stem, and rfliebertjes pointing left from
+ right stem.
+ */
+ SCM left = (i > 0) ? scm_cdr (last_beaming) : SCM_EOL;
+ SCM right = st ? scm_car (this_beaming) : SCM_EOL;
+
+ Array<int> full_beams;
+ Array<int> lfliebertjes;
+ Array<int> rfliebertjes;
+
+ for (SCM s = left;
+ scm_is_pair (s); s = scm_cdr (s))
+ {
+ int b = scm_to_int (scm_car (s));
+ if (scm_c_memq (scm_car (s), right) != SCM_BOOL_F)
+ {
+ full_beams.push (b);
+ }
+ else
+ {
+ lfliebertjes.push (b);
+ }
+ }
+ for (SCM s = right;
+ scm_is_pair (s); s = scm_cdr (s))
+ {
+ int b = scm_to_int (scm_car (s));
+ if (scm_c_memq (scm_car (s), left) == SCM_BOOL_F)
+ {
+ rfliebertjes.push (b);
+ }
+ }
+
+ /*
+ how much to stick out for beams across linebreaks
+ */
+ Real break_overshoot = 3.0;
+ Real w = (i > 0 && st) ? (xposn - last_xposn) : break_overshoot;
+
+ Real stem_offset = 0.0;
+ if (i > 0)
+ {
+ w += last_stem_width / 2;
+ stem_offset = -last_stem_width / 2;
+ }
+
+ if (st)
+ w += stem_width / 2;
+
+ Real blot = me->get_layout ()->get_dimension (ly_symbol2scm
("blotdiameter"));
+ Stencil whole = Lookup::beam (slope, w, thick, blot);
+ Stencil gapped;
+
+ int gap_count = 0;
+ if (scm_is_number (me->get_property ("gap-count")))
+ {
+ gap_count = scm_to_int (me->get_property ("gap-count"));
+ gapped = Lookup::beam (slope, w - 2 * gap_length, thick, blot);
+
+ full_beams.sort (default_compare);
+ if (stem_dir == UP)
+ full_beams.reverse ();
+ }
+
+ int k = 0;
+ for (int j = full_beams.size (); j--;)
+ {
+ Stencil b (whole);
+
+ if (k++ < gap_count)
+ {
+ b = gapped;
+ b.translate_axis (gap_length, X_AXIS);
+ }
+ b.translate_axis (last_xposn - x0 + stem_offset, X_AXIS);
+ b.translate_axis (slope * (last_xposn - x0) + bdy * full_beams[j],
Y_AXIS);
+
+ the_beam.add_stencil (b);
+ }
+
+ if (lfliebertjes.size () || rfliebertjes.size ())
+ {
+ Real nw_f;
+
+ if (st)
+ {
+ int t = Stem::duration_log (st);
+
+ SCM proc = me->get_property ("flag-width-function");
+ SCM result = scm_call_1 (proc, scm_int2num (t));
+ nw_f = scm_to_double (result);
+ }
+ else
+ nw_f = break_overshoot / 2;
+
+ /* Half beam should be one note-width,
+ but let's make sure two half-beams never touch */
+ Real lw = nw_f;
+ Real rw = nw_f;
+ if (i > 0)
+ rw = min (nw_f, ((xposn - last_xposn) / 2));
+ else
+ /*
+ TODO: 0.5 is a guess.
+ */
+ rw = xposn - me->get_bound (LEFT)->extent (xcommon, X_AXIS)[RIGHT]
+ - 0.5;
+
+ if (st)
+ lw = min (nw_f, ((xposn - last_xposn) / 2));
+ else
+ lw = me->get_bound (RIGHT)->relative_coordinate (xcommon, X_AXIS)
+ - last_xposn;
+
+ Stencil rhalf = Lookup::beam (slope, rw, thick, blot);
+ Stencil lhalf = Lookup::beam (slope, lw, thick, blot);
+ for (int j = lfliebertjes.size (); j--;)
+ {
+ Stencil b (lhalf);
+ b.translate_axis (last_xposn - x0, X_AXIS);
+ b.translate_axis (slope * (last_xposn - x0) + bdy *
lfliebertjes[j], Y_AXIS);
+ the_beam.add_stencil (b);
+ }
+ for (int j = rfliebertjes.size (); j--;)
+ {
+ Stencil b (rhalf);
+ b.translate_axis (xposn - x0 - rw, X_AXIS);
+ b.translate_axis (slope * (xposn - x0 -rw) + bdy *
rfliebertjes[j], Y_AXIS);
+ the_beam.add_stencil (b);
+ }
+ }
+
+ last_xposn = xposn;
+ last_stem_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)
+ SCM quant_score = me->get_property ("quant-score");
+ if (to_boolean (me->get_layout ()->lookup_variable (ly_symbol2scm
("debug-beam-quanting")))
+ && scm_is_string (quant_score))
+ {
+
+ /*
+ This code prints the demerits for each beam. Perhaps this
+ should be switchable for those who want to twiddle with the
+ parameters.
+ */
+ String str;
+ SCM properties = Font_interface::text_font_alist_chain (me);
+
+ Direction stem_dir = stems.size () ? to_dir (stems[0]->get_property
("direction")) : UP;
+
+ Stencil tm = *unsmob_stencil (Text_interface::interpret_markup
+ (me->get_layout ()->self_scm (),
properties, quant_score));
+ the_beam.add_at_edge (Y_AXIS, stem_dir, tm, 1.0, 0);
+ }
+#endif
+
+ return the_beam.smobbed_copy ();
+}
+
+Direction
+Beam::get_default_dir (Grob *me)
+{
+ Drul_array<int> total;
+ total[UP] = total[DOWN] = 0;
+ Drul_array<int> count;
+ count[UP] = count[DOWN] = 0;
+ Direction d = DOWN;
+
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+
+ for (int i = 0; i < stems.size (); i++)
+ do
+ {
+ Grob *s = stems[i];
+ Direction sd = get_grob_direction (s);
+
+ int center_distance = max (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);
+
+ SCM func = me->get_property ("dir-function");
+ SCM s = scm_call_2 (func,
+ scm_cons (scm_int2num (count[UP]),
+ scm_int2num (count[DOWN])),
+ scm_cons (scm_int2num (total[UP]),
+ scm_int2num (total[DOWN])));
+
+ if (scm_is_number (s) && scm_to_int (s))
+ return to_dir (s);
+
+ /* If dir is not determined: get default */
+ return to_dir (me->get_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. */
+void
+Beam::set_stem_directions (Grob *me, Direction d)
+{
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+
+ for (int i = 0; i < stems.size (); i++)
+ {
+ Grob *s = stems[i];
+
+ SCM forcedir = s->get_property ("direction");
+ if (!to_dir (forcedir))
+ set_grob_direction (s, d);
+ }
+}
+
+/*
+ Only try horizontal beams for knees. No reliable detection of
+ anything else is possible here, since we don't know funky-beaming
+ settings, or X-distances (slopes!) People that want sloped
+ knee-beams, should set the directions manually.
+
+
+ TODO:
+
+ this routine should take into account the stemlength scoring
+ of a possible knee/nonknee beam.
+*/
+void
+Beam::consider_auto_knees (Grob *me)
+{
+ SCM scm = me->get_property ("auto-knee-gap");
+ if (!scm_is_number (scm))
+ return;
+
+ Interval_set gaps;
+
+ gaps.set_full ();
+
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+
+ Grob *common = common_refpoint_of_array (stems, me, Y_AXIS);
+ Real staff_space = Staff_symbol_referencer::staff_space (me);
+
+ Array<Interval> head_extents_array;
+ for (int i = 0; i < stems.size (); i++)
+ {
+ Grob *stem = stems[i];
+ if (Stem::is_invisible (stem))
+ continue;
+
+ Interval head_extents = Stem::head_positions (stem);
+ if (!head_extents.is_empty ())
+ {
+ head_extents[LEFT] += -1;
+ head_extents[RIGHT] += 1;
+ head_extents *= staff_space * 0.5;
+
+ /*
+ We could subtract beam Y position, but this routine only
+ sets stem directions, a constant shift does not have an
+ influence.
+ */
+ head_extents += stem->relative_coordinate (common, Y_AXIS);
+
+ if (to_dir (stem->get_property ("direction")))
+ {
+ Direction stemdir = to_dir (stem->get_property ("direction"));
+ head_extents[-stemdir] = -stemdir * infinity_f;
+ }
+ }
+ head_extents_array.push (head_extents);
+
+ gaps.remove_interval (head_extents);
+ }
+
+ Interval max_gap;
+ Real max_gap_len = 0.0;
+
+ for (int i = gaps.allowed_regions_.size () -1; i >= 0; i--)
+ {
+ Interval gap = gaps.allowed_regions_[i];
+
+ /*
+ the outer gaps are not knees.
+ */
+ if (isinf (gap[LEFT]) || isinf (gap[RIGHT]))
+ continue;
+
+ if (gap.length () >= max_gap_len)
+ {
+ max_gap_len = gap.length ();
+ max_gap = gap;
+ }
+ }
+
+ Real beam_translation = get_beam_translation (me);
+ Real beam_thickness = Beam::get_thickness (me);
+ int beam_count = Beam::get_beam_count (me);
+ Real height_of_beams = beam_thickness / 2
+ + (beam_count - 1) * beam_translation;
+ Real threshold = scm_to_double (scm) + height_of_beams;
+
+ if (max_gap_len > threshold)
+ {
+ int j = 0;
+ for (int i = 0; i < stems.size (); i++)
+ {
+ Grob *stem = stems[i];
+ if (Stem::is_invisible (stem))
+ continue;
+
+ Interval head_extents = head_extents_array[j++];
+
+ Direction d = (head_extents.center () < max_gap.center ())
+ ? UP : DOWN;
+
+ stem->set_property ("direction", scm_int2num (d));
+
+ head_extents.intersect (max_gap);
+ assert (head_extents.is_empty () || head_extents.length () < 1e-6);
+ }
+ }
+}
+
+/* Set stem's shorten property if unset.
+
+TODO:
+take some y-position (chord/beam/nearest?) into account
+scmify forced-fraction
+
+This is done in beam because the shorten has to be uniform over the
+entire beam.
+*/
+void
+Beam::set_stem_shorten (Grob *me)
+{
+ /*
+ shortening looks silly for x staff beams
+ */
+ if (is_knee (me))
+ return;
+
+ Real forced_fraction = 1.0 * forced_stem_count (me)
+ / visible_stem_count (me);
+
+ int beam_count = get_beam_count (me);
+
+ SCM shorten_list = me->get_property ("beamed-stem-shorten");
+ if (shorten_list == SCM_EOL)
+ return;
+
+ Real staff_space = Staff_symbol_referencer::staff_space (me);
+
+ SCM shorten_elt
+ = robust_list_ref (beam_count -1, shorten_list);
+ Real shorten_f = scm_to_double (shorten_elt) * staff_space;
+
+ /* your similar cute comment here */
+ shorten_f *= forced_fraction;
+
+ if (shorten_f)
+ me->set_property ("shorten", scm_make_real (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);
+
+ position_beam (me);
+ return SCM_UNSPECIFIED;
+}
+
+void
+Beam::position_beam (Grob *me)
+{
+ if (!me->is_live ())
+ return;
+ if (to_boolean (me->get_property ("positioning-done")))
+ return;
+
+ me->set_property ("positioning-done", SCM_BOOL_T);
+
+ /* Copy to mutable list. */
+ SCM s = ly_deep_copy (me->get_property ("positions"));
+ me->set_property ("positions", s);
+
+ if (scm_car (s) == SCM_BOOL_F)
+ {
+ // one wonders if such genericity is necessary --hwn.
+ SCM callbacks = me->get_property ("position-callbacks");
+ for (SCM i = callbacks; scm_is_pair (i); i = scm_cdr (i))
+ scm_call_1 (scm_car (i), me->self_scm ());
+ }
+
+ set_stem_lengths (me);
+}
+
+void
+set_minimum_dy (Grob *me, Real *dy)
+{
+ if (*dy)
+ {
+ /*
+ If dy is smaller than the smallest quant, we
+ get absurd direction-sign penalties.
+ */
+
+ Real ss = Staff_symbol_referencer::staff_space (me);
+ Real thickness = Beam::get_thickness (me) / ss;
+ Real slt = Staff_symbol_referencer::line_thickness (me) / ss;
+ Real sit = (thickness - slt) / 2;
+ Real inter = 0.5;
+ Real hang = 1.0 - (thickness - slt) / 2;
+
+ *dy = sign (*dy) * max (fabs (*dy),
+ min (min (sit, inter), hang));
+ }
+}
+
+/*
+ Compute a first approximation to the beam slope.
+*/
+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_property ("positions", ly_interval2scm (pos));
+ return SCM_UNSPECIFIED;
+ }
+
+ Array<Real> x_posns;
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+ Grob *commonx = common_refpoint_of_array (stems, me, X_AXIS);
+ Grob *commony = common_refpoint_of_array (stems, me, Y_AXIS);
+
+ Real my_y = me->relative_coordinate (commony, Y_AXIS);
+
+ Grob *fvs = first_visible_stem (me);
+ Grob *lvs = last_visible_stem (me);
+
+ Interval ideal (Stem::get_stem_info (fvs).ideal_y_
+ + fvs->relative_coordinate (commony, Y_AXIS) -my_y,
+ Stem::get_stem_info (lvs).ideal_y_
+ + lvs->relative_coordinate (commony, Y_AXIS) - my_y);
+
+ Real x0 = first_visible_stem (me)->relative_coordinate (commonx, X_AXIS);
+ for (int i = 0; i < stems.size (); i++)
+ {
+ Grob *s = stems[i];
+
+ Real x = s->relative_coordinate (commonx, X_AXIS) - x0;
+ x_posns.push (x);
+ }
+ Real dx = last_visible_stem (me)->relative_coordinate (commonx, X_AXIS) - x0;
+
+ Real y = 0;
+ Real slope = 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)));
+
+ /* Simple beams (2 stems) on middle line should be allowed to be
+ slightly sloped.
+
+ However, if both stems reach middle line,
+ ideal[LEFT] == ideal[RIGHT] and ideal.delta () == 0.
+
+ For that case, we apply artificial slope */
+ if (!ideal[LEFT] && chord.delta () && count == 2)
+ {
+ /* FIXME. -> UP */
+ Direction d = (Direction) (sign (chord.delta ()) * UP);
+ pos[d] = get_thickness (me) / 2;
+ pos[-d] = -pos[d];
+ }
+ else
+ {
+ pos = ideal;
+ }
+
+ /*
+ For broken beams this doesn't work well. In this case, the
+ slope esp. of the first part of a broken beam should predict
+ where the second part goes.
+ */
+ me->set_property ("least-squares-dy",
+ scm_make_real (pos[RIGHT] - pos[LEFT]));
+ }
+ else
+ {
+ Array<Offset> ideals;
+ for (int i = 0; i < stems.size (); i++)
+ {
+ Grob *s = stems[i];
+ if (Stem::is_invisible (s))
+ continue;
+ ideals.push (Offset (x_posns[i],
+ Stem::get_stem_info (s).ideal_y_
+ + s->relative_coordinate (commony, Y_AXIS)
+ - my_y));
+ }
+
+ minimise_least_squares (&slope, &y, ideals);
+
+ dy = slope * dx;
+
+ set_minimum_dy (me, &dy);
+ me->set_property ("least-squares-dy", scm_make_real (dy));
+ pos = Interval (y, (y + dy));
+ }
+
+ /*
+ "position" is relative to the staff.
+ */
+ scale_drul (&pos, 1 / Staff_symbol_referencer::staff_space (me));
+
+ me->set_property ("positions", ly_interval2scm (pos));
+
+ return SCM_UNSPECIFIED;
+}
+
+/*
+ We can't combine with previous function, since check concave and
+ slope damping comes first.
+
+ TODO: we should use the concaveness to control the amount of damping
+ applied.
+*/
+MAKE_SCHEME_CALLBACK (Beam, shift_region_to_valid, 1);
+SCM
+Beam::shift_region_to_valid (SCM grob)
+{
+ Grob *me = unsmob_grob (grob);
+ /*
+ Code dup.
+ */
+ Array<Real> x_posns;
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+ Grob *commonx = common_refpoint_of_array (stems, me, X_AXIS);
+ Grob *commony = common_refpoint_of_array (stems, me, Y_AXIS);
+
+ Grob *fvs = first_visible_stem (me);
+
+ if (!fvs)
+ return SCM_UNSPECIFIED;
+
+ Real x0 = fvs->relative_coordinate (commonx, X_AXIS);
+ for (int i = 0; i < stems.size (); i++)
+ {
+ Grob *s = stems[i];
+
+ Real x = s->relative_coordinate (commonx, X_AXIS) - x0;
+ x_posns.push (x);
+ }
+
+ Grob *lvs = last_visible_stem (me);
+ if (!lvs)
+ return SCM_UNSPECIFIED;
+
+ Real dx = lvs->relative_coordinate (commonx, X_AXIS) - x0;
+
+ Drul_array<Real> pos = ly_scm2interval (me->get_property ("positions"));
+
+ scale_drul (&pos, Staff_symbol_referencer::staff_space (me));
+
+ Real dy = pos[RIGHT] - pos[LEFT];
+ Real y = pos[LEFT];
+ Real slope = dx ? dy / dx : 0.0;
+
+ /*
+ Shift the positions so that we have a chance of finding good
+ quants (i.e. no short stem failures.)
+ */
+ Interval feasible_left_point;
+ feasible_left_point.set_full ();
+ for (int i = 0; i < stems.size (); i++)
+ {
+ Grob *s = stems[i];
+ if (Stem::is_invisible (s))
+ continue;
+
+ Direction d = Stem::get_direction (s);
+
+ Real left_y
+ = Stem::get_stem_info (s).shortest_y_
+ - slope * x_posns [i];
+
+ /*
+ left_y is now relative to the stem S. We want relative to
+ ourselves, so translate:
+ */
+ left_y
+ += + s->relative_coordinate (commony, Y_AXIS)
+ - me->relative_coordinate (commony, Y_AXIS);
+
+ Interval flp;
+ flp.set_full ();
+ flp[-d] = left_y;
+
+ feasible_left_point.intersect (flp);
+ }
+
+ if (feasible_left_point.is_empty ())
+ warning (_ ("no viable initial configuration found: may not find good beam
slope"));
+ else if (!feasible_left_point.contains (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 ();
+ }
+
+ pos = Drul_array<Real> (y, (y + dy));
+ scale_drul (&pos, 1 / Staff_symbol_referencer::staff_space (me));
+
+ me->set_property ("positions", ly_interval2scm (pos));
+ return SCM_UNSPECIFIED;
+}
+
+/* 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)
+{
+ Grob *me = unsmob_grob (smob);
+
+ if (visible_stem_count (me) <= 1)
+ return SCM_UNSPECIFIED;
+
+ SCM s = me->get_property ("damping");
+ Real damping = scm_to_double (s);
+
+ if (damping)
+ {
+ Drul_array<Real> pos = ly_scm2interval (me->get_property ("positions"));
+ scale_drul (&pos, Staff_symbol_referencer::staff_space (me));
+
+ Real dy = pos[RIGHT] - pos[LEFT];
+
+ Grob *fvs = first_visible_stem (me);
+ Grob *lvs = last_visible_stem (me);
+
+ Grob *commonx = fvs->common_refpoint (lvs, X_AXIS);
+
+ Real dx = last_visible_stem (me)->relative_coordinate (commonx, X_AXIS)
+ - first_visible_stem (me)->relative_coordinate (commonx, X_AXIS);
+
+ Real slope = dy && dx ? dy / dx : 0;
+
+ Real concaveness = robust_scm2double (me->get_property ("concaveness"),
0.0);
+
+ slope = 0.6 * tanh (slope) / (damping + concaveness);
+
+ Real damped_dy = slope * dx;
+
+ set_minimum_dy (me, &damped_dy);
+
+ pos[LEFT] += (dy - damped_dy) / 2;
+ pos[RIGHT] -= (dy - damped_dy) / 2;
+
+ scale_drul (&pos, 1 / Staff_symbol_referencer::staff_space (me));
+
+ me->set_property ("positions", ly_interval2scm (pos));
+ }
+ return SCM_UNSPECIFIED;
+}
+
+/*
+ Report slice containing the numbers that are both in (car BEAMING)
+ and (cdr BEAMING)
+*/
+Slice
+where_are_the_whole_beams (SCM beaming)
+{
+ Slice l;
+
+ for (SCM s = scm_car (beaming); scm_is_pair (s); s = scm_cdr (s))
+ {
+ if (scm_c_memq (scm_car (s), scm_cdr (beaming)) != SCM_BOOL_F)
+
+ l.add_point (scm_to_int (scm_car (s)));
+ }
+
+ return l;
+}
+
+/* Return the Y position of the stem-end, given the Y-left, Y-right
+ in POS for stem S. This Y position is relative to S. */
+Real
+Beam::calc_stem_y (Grob *me, Grob *s, Grob ** common,
+ Real xl, Real xr,
+ Drul_array<Real> pos, bool french)
+{
+ Real beam_translation = get_beam_translation (me);
+
+ Real r = s->relative_coordinate (common[X_AXIS], X_AXIS) - xl;
+ Real dy = pos[RIGHT] - pos[LEFT];
+ Real dx = xr - xl;
+ Real stem_y_beam0 = (dy && dx
+ ? r / dx
+ * dy
+ : 0) + pos[LEFT];
+
+ Direction my_dir = get_grob_direction (s);
+ SCM beaming = s->get_property ("beaming");
+
+ Real stem_y = stem_y_beam0;
+ if (french)
+ {
+ Slice bm = where_are_the_whole_beams (beaming);
+ if (!bm.is_empty ())
+ stem_y += beam_translation * bm[-my_dir];
+ }
+ else
+ {
+ Slice bm = Stem::beam_multiplicity (s);
+ if (!bm.is_empty ())
+ stem_y += bm[my_dir] * beam_translation;
+ }
+
+ Real id = me->relative_coordinate (common[Y_AXIS], Y_AXIS)
+ - s->relative_coordinate (common[Y_AXIS], Y_AXIS);
+
+ return stem_y + id;
+}
+
+/*
+ Hmm. At this time, beam position and slope are determined. Maybe,
+ stem directions and length should set to relative to the chord's
+ position of the beam. */
+void
+Beam::set_stem_lengths (Grob *me)
+{
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+
+ if (!stems.size ())
+ return;
+
+ Grob *common[2];
+ for (int a = 2; a--;)
+ common[a] = common_refpoint_of_array (stems, me, Axis (a));
+
+ Drul_array<Real> pos = ly_scm2realdrul (me->get_property ("positions"));
+ Real staff_space = Staff_symbol_referencer::staff_space (me);
+ scale_drul (&pos, staff_space);
+
+ bool gap = false;
+ Real thick = 0.0;
+ if (scm_is_number (me->get_property ("gap-count"))
+ &&scm_to_int (me->get_property ("gap-count")))
+ {
+ gap = true;
+ thick = get_thickness (me);
+ }
+
+ // ugh -> use commonx
+ Grob *fvs = first_visible_stem (me);
+ Grob *lvs = last_visible_stem (me);
+
+ Real xl = fvs ? fvs->relative_coordinate (common[X_AXIS], X_AXIS) : 0.0;
+ Real xr = lvs ? lvs->relative_coordinate (common[X_AXIS], X_AXIS) : 0.0;
+
+ for (int i = 0; i < stems.size (); i++)
+ {
+ Grob *s = stems[i];
+ if (Stem::is_invisible (s))
+ continue;
+
+ bool french = to_boolean (s->get_property ("french-beaming"));
+ Real stem_y = calc_stem_y (me, s, common,
+ xl, xr,
+ pos, french && s != lvs && s!= fvs);
+
+ /*
+ Make the stems go up to the end of the beam. This doesn't matter
+ for normal beams, but for tremolo beams it looks silly otherwise.
+ */
+ if (gap)
+ stem_y += thick * 0.5 * get_grob_direction (s);
+
+ Stem::set_stemend (s, 2 * stem_y / staff_space);
+ }
+}
+
+void
+Beam::set_beaming (Grob *me, Beaming_info_list *beaming)
+{
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+
+ Direction d = LEFT;
+ for (int i = 0; i < stems.size (); i++)
+ {
+ /*
+ Don't overwrite user settings.
+ */
+
+ do
+ {
+ /* Don't set beaming for outside of outer stems */
+ if ((d == LEFT && i == 0)
+ || (d == RIGHT && i == stems.size () -1))
+ continue;
+
+ Grob *st = stems[i];
+ SCM beaming_prop = st->get_property ("beaming");
+ if (beaming_prop == SCM_EOL
+ || index_get_cell (beaming_prop, d) == SCM_EOL)
+ {
+ int b = beaming->infos_.elem (i).beams_i_drul_[d];
+ if (i > 0
+ && i < stems.size () -1
+ && Stem::is_invisible (st))
+ b = min (b, beaming->infos_.elem (i).beams_i_drul_[-d]);
+
+ Stem::set_beaming (st, b, d);
+ }
+ }
+ while (flip (&d) != LEFT);
+ }
+}
+
+int
+Beam::forced_stem_count (Grob *me)
+{
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+ int f = 0;
+ for (int i = 0; i < stems.size (); i++)
+ {
+ Grob *s = stems[i];
+
+ if (Stem::is_invisible (s))
+ continue;
+
+ /* I can imagine counting those boundaries as a half forced stem,
+ but let's count them full for now. */
+ if (abs (Stem::chord_start_y (s)) > 0.1
+ && (Stem::get_direction (s) != Stem::get_default_dir (s)))
+ f++;
+ }
+ return f;
+}
+
+int
+Beam::visible_stem_count (Grob *me)
+{
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+ int c = 0;
+ for (int i = stems.size (); i--;)
+ {
+ if (!Stem::is_invisible (stems[i]))
+ c++;
+ }
+ return c;
+}
+
+Grob *
+Beam::first_visible_stem (Grob *me)
+{
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+
+ for (int i = 0; i < stems.size (); i++)
+ {
+ if (!Stem::is_invisible (stems[i]))
+ return stems[i];
+ }
+ return 0;
+}
+
+Grob *
+Beam::last_visible_stem (Grob *me)
+{
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+ for (int i = stems.size (); i--;)
+ {
+ if (!Stem::is_invisible (stems[i]))
+ return stems[i];
+ }
+ return 0;
+}
+
+/*
+ [TODO]
+
+ handle rest under beam (do_post: beams are calculated now)
+ what about combination of collisions and rest under beam.
+
+ Should lookup
+
+ rest -> stem -> beam -> interpolate_y_position ()
+*/
+MAKE_SCHEME_CALLBACK (Beam, rest_collision_callback, 2);
+SCM
+Beam::rest_collision_callback (SCM element_smob, SCM axis)
+{
+ Grob *rest = unsmob_grob (element_smob);
+ (void) axis;
+
+ if (scm_is_number (rest->get_property ("staff-position")))
+ return scm_int2num (0);
+
+ assert (scm_to_int (axis) == Y_AXIS);
+
+ Grob *st = unsmob_grob (rest->get_property ("stem"));
+ Grob *stem = st;
+ if (!stem)
+ return scm_make_real (0.0);
+ Grob *beam = unsmob_grob (stem->get_property ("beam"));
+ if (!beam
+ || !Beam::has_interface (beam)
+ || !Beam::visible_stem_count (beam))
+ return scm_make_real (0.0);
+
+ Drul_array<Real> pos (0, 0);
+ SCM s = beam->get_property ("positions");
+ if (scm_is_pair (s) && scm_is_number (scm_car (s)))
+ pos = ly_scm2interval (s);
+ Real staff_space = Staff_symbol_referencer::staff_space (rest);
+
+ scale_drul (&pos, staff_space);
+
+ Real dy = pos[RIGHT] - pos[LEFT];
+
+ // 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 slope = dy && dx ? dy / dx : 0;
+
+ Direction d = Stem::get_direction (stem);
+ Real stem_y = pos[LEFT] + (stem->relative_coordinate (0, X_AXIS) - x0) *
slope;
+
+ Real beam_translation = get_beam_translation (beam);
+ Real beam_thickness = Beam::get_thickness (beam);
+
+ /*
+ TODO: this is not strictly correct for 16th knee beams.
+ */
+ int beam_count
+ = Stem::beam_multiplicity (stem).length () + 1;
+
+ Real height_of_my_beams = beam_thickness / 2
+ + (beam_count - 1) * beam_translation;
+ Real beam_y = stem_y - d * height_of_my_beams;
+
+ Grob *common_y = rest->common_refpoint (beam, Y_AXIS);
+
+ Real rest_dim = rest->extent (common_y, Y_AXIS)[d];
+ Real minimum_distance
+ = + staff_space * (robust_scm2double (stem->get_property
("stemlet-length"), 0.0)
+ + robust_scm2double (rest->get_property
("minimum-distance"), 0.0));
+
+ Real shift = d * min (((beam_y - d * minimum_distance) - rest_dim) * d, 0.0);
+
+ shift /= staff_space;
+ Real rad = Staff_symbol_referencer::line_count (rest) * staff_space / 2;
+
+ /* Always move discretely by half spaces */
+ shift = ceil (fabs (shift * 2.0)) / 2.0 * sign (shift);
+
+ /* Inside staff, move by whole spaces*/
+ if ((rest->extent (common_y, Y_AXIS)[d] + staff_space * shift) * d
+ < rad
+ || (rest->extent (common_y, Y_AXIS)[-d] + staff_space * shift) * -d
+ < rad)
+ shift = ceil (fabs (shift)) * sign (shift);
+
+ return scm_make_real (staff_space * shift);
+}
+
+bool
+Beam::is_knee (Grob *me)
+{
+ SCM k = me->get_property ("knee");
+ if (scm_is_bool (k))
+ return ly_scm2bool (k);
+
+ bool knee = false;
+ int d = 0;
+ for (SCM s = me->get_property ("stems"); scm_is_pair (s); s = scm_cdr (s))
+ {
+ Direction dir = get_grob_direction (unsmob_grob (scm_car (s)));
+ if (d && d != dir)
+ {
+ knee = true;
+ break;
+ }
+ d = dir;
+ }
+
+ me->set_property ("knee", ly_bool2scm (knee));
+
+ return knee;
+}
+
+int
+Beam::get_direction_beam_count (Grob *me, Direction d)
+{
+ Link_array<Grob> stems
+ = extract_grob_array (me, ly_symbol2scm ("stems"));
+ int bc = 0;
+
+ for (int i = stems.size (); i--;)
+ {
+ /*
+ Should we take invisible stems into account?
+ */
+ if (Stem::get_direction (stems[i]) == d)
+ bc = max (bc, (Stem::beam_multiplicity (stems[i]).length () + 1));
+ }
+
+ return bc;
+}
+
+ADD_INTERFACE (Beam, "beam-interface",
+ "A beam. \n\n"
+ "The @code{thickness} property is the weight of beams, and is
measured "
+ "in staffspace",
+ "knee positioning-done position-callbacks "
+ "concaveness dir-function quant-score auto-knee-gap gap "
+ "gap-count chord-tremolo beamed-stem-shorten shorten
least-squares-dy "
+ "damping inspect-quants flag-width-function neutral-direction
positions space-function "
+ "thickness");
+
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