source file of the GNU LilyPond music typesetter
- (c) 1997 Han-Wen Nienhuys <hanwen@stack.nl>
+ (c) 1997--1998, 1998 Han-Wen Nienhuys <hanwen@stack.nl>
+ Jan Nieuwenhuizen <jan@digicash.com>
- TODO
+*/
- Less hairy code. knee: ([\stem 1; c8 \stem -1; c8]
-*/
+/*
+ [TODO]
+ * lowest beam of (UP) beam must never be lower than second staffline
+ * centre beam symbol
+ * less hairy code
+ * redo grouping
+ * (future) knee: ([\stem 1; c8 \stem -1; c8]
+ */
#include <math.h>
#include "lookup.hh"
#include "grouping.hh"
#include "stem-info.hh"
-//#include "main.hh" // experimental features
+#include "main.hh" // experimental features
IMPLEMENT_IS_TYPE_B1 (Beam, Spanner);
-// ugh, hardcoded
-const Real MINIMUM_STEMLEN[] = {
- 0, // just in case
- 5,
- 4,
- 3,
- 2,
- 2,
-};
-
Beam::Beam ()
{
slope_f_ = 0;
- left_y_ = 0.0;
+ left_y_ = 0;
damping_i_ = 1;
quantisation_ = NORMAL;
multiple_i_ = 0;
Beam::brew_molecule_p () const
{
Molecule *mol_p = new Molecule;
- Real inter_f = paper ()->internote_f ();
+
+ Real interline_f = paper ()->interline_f ();
+ Real internote_f = interline_f / 2;
+ Real staffline_f = paper ()->rule_thickness ();
+ Real beam_f = 0.48 * (interline_f - staffline_f);
+
Real x0 = stems_[0]->hpos_f ();
for (int j=0; j <stems_.size (); j++)
{
Molecule sb = stem_beams (i, next, prev);
Real x = i->hpos_f ()-x0;
- sb.translate (Offset (x, (x * slope_f_ + left_y_)* inter_f));
+ sb.translate (Offset (x, (x * slope_f_ + left_y_) * internote_f));
mol_p->add (sb);
}
- mol_p->translate_axis (x0 - spanned_drul_[LEFT]->absolute_coordinate (X_AXIS), X_AXIS);
+ mol_p->translate_axis (x0
+ - spanned_drul_[LEFT]->absolute_coordinate (X_AXIS), X_AXIS);
+
return mol_p;
}
}
/*
- should use minimum energy formulation (cf linespacing)
-*/
+ See Documentation/tex/fonts.doc
+ */
void
Beam::solve_slope ()
{
+ /*
+ should use minimum energy formulation (cf linespacing)
+ */
+
+ assert (multiple_i_);
Array<Stem_info> sinfo;
for (int j=0; j <stems_.size (); j++)
{
Stem *i = stems_[j];
+ i->mult_i_ = multiple_i_;
i->set_default_extents ();
if (i->invisible_b ())
continue;
else
{
- Real leftx = sinfo[0].x;
+ Real leftx = sinfo[0].x_;
Least_squares l;
for (int i=0; i < sinfo.size (); i++)
{
- sinfo[i].x -= leftx;
- l.input.push (Offset (sinfo[i].x, sinfo[i].idealy_f_));
+ sinfo[i].x_ -= leftx;
+ l.input.push (Offset (sinfo[i].x_, sinfo[i].idealy_f_));
}
l.minimise (slope_f_, left_y_);
Real dy = 0.0;
for (int i=0; i < sinfo.size (); i++)
{
- Real y = sinfo[i].x * slope_f_ + left_y_;
+ Real y = sinfo[i].x_ * slope_f_ + left_y_;
Real my = sinfo[i].miny_f_;
if (my - y > dy)
if (damping_i_)
slope_f_ = 0.6 * tanh (slope_f_) / damping_i_;
- quantise_yspan ();
+ quantise_dy ();
- // y-values traditionally use internote dimension: therefore slope = (y/in)/x
- // but mf and beam-lookup use PT dimension for y (as used for x-values)
- // ugh --- there goes our simplified but careful quantisation
Real sl = slope_f_ * paper ()->internote_f ();
paper ()->lookup_l ()->beam (sl, 20 PT, 1 PT);
slope_f_ = sl / paper ()->internote_f ();
}
void
-Beam::quantise_yspan ()
+Beam::quantise_dy ()
{
/*
[Ross] (simplification of)
Try to set slope_f_ complying with y-span of:
- zero
- - beam_thickness / 2 + staffline_thickness / 2
- - beam_thickness + staffline_thickness
+ - beam_f / 2 + staffline_f / 2
+ - beam_f + staffline_f
+ n * interline
*/
- if (!quantisation_)
+ if (quantisation_ <= NONE)
return;
Real interline_f = paper ()->interline_f ();
Real internote_f = interline_f / 2;
- Real staffline_thickness = paper ()->rule_thickness ();
- Real beam_thickness = 0.48 * (interline_f - staffline_thickness);
-
- const int QUANTS = 3;
- Real qdy[QUANTS] = {
- 0,
- beam_thickness / 2 + staffline_thickness / 2,
- beam_thickness + staffline_thickness
- };
-
- Real xspan_f = stems_.top ()->hpos_f () - stems_[0]->hpos_f ();
- // y-values traditionally use internote dimension: therefore slope = (y/in)/x
- Real yspan_f = xspan_f * abs (slope_f_ * internote_f);
- int yspan_i = (int)(yspan_f / interline_f);
- Real q = (yspan_f / interline_f - yspan_i) * interline_f;
- int i = 0;
- for (; i < QUANTS - 1; i++)
- if ((q >= qdy[i]) && (q <= qdy[i + 1]))
- {
- if (q - qdy[i] < qdy[i + 1] - q)
- break;
- else
- {
- i++;
- break;
- }
- }
- q = qdy[i];
+ Real staffline_f = paper ()->rule_thickness ();
+ Real beam_f = 0.48 * (interline_f - staffline_f);
+
+ Real dx_f = stems_.top ()->hpos_f () - stems_[0]->hpos_f ();
+
+ // dim(y) = internote; so slope = (y/internote)/x
+ Real dy_f = dx_f * abs (slope_f_ * internote_f);
+
+ Real quanty_f = 0.0;
+
+ /* UGR. ICE in 2.8.1; bugreport filed. */
+ Array<Real> allowed_fraction (3);
+ allowed_fraction[0] = 0;
+ allowed_fraction[1] = (beam_f / 2 + staffline_f / 2);
+ allowed_fraction[2] = (beam_f + staffline_f);
- yspan_f = (Real)yspan_i * interline_f + q;
- // y-values traditionally use internote dimension: therefore slope = (y/in)/x
- slope_f_ = yspan_f / xspan_f / internote_f * sign (slope_f_);
+
+ Interval iv = quantise_iv (allowed_fraction, interline_f, dy_f);
+ quanty_f = (dy_f - iv.min () <= iv.max () - dy_f)
+ ? iv.min ()
+ : iv.max ();
+
+
+ slope_f_ = (quanty_f / dx_f) / internote_f * sign (slope_f_);
}
+static int test_pos = 0;
+
+
+/*
+
+ Prevent interference from stafflines and beams. See Documentation/tex/fonts.doc
+
+ */
void
-Beam::quantise_left_y (Beam::Pos pos, bool extend_b)
+Beam::quantise_left_y (bool extend_b)
{
- /*
- quantising left y should suffice, as slope is quantised too
- if extend then stems must not get shorter
+ /*
+ we only need to quantise the start of the beam as dy is quantised too
+ if extend_b then stems must *not* get shorter
*/
- if (!quantisation_)
+ if (quantisation_ <= NONE)
return;
+ /*
+ ----------------------------------------------------------
+ ########
+ ########
+ ########
+ --------------########------------------------------------
+ ########
+
+ hang straddle sit inter hang
+ */
+
+ Real interbeam_f = paper ()->interbeam_f ();
Real interline_f = paper ()->interline_f ();
Real internote_f = interline_f / 2;
- Real staffline_thickness = paper ()->rule_thickness ();
- Real beam_thickness = 0.48 * (interline_f - staffline_thickness);
+ Real staffline_f = paper ()->rule_thickness ();
+ Real beam_f = 0.48 * (interline_f - staffline_f);
+ Real symbol_f = beam_f + interbeam_f * (multiple_i_ - 1);
- const int QUANTS = 7;
- Real qy[QUANTS] =
- {
- 0,
- beam_thickness / 2,
- beam_thickness,
- interline_f / 2 + beam_thickness / 2 + staffline_thickness / 2,
- interline_f,
- interline_f + beam_thickness / 2,
- interline_f + beam_thickness
- };
- /*
- ugh, using i triggers gcc 2.7.2.1 internal compiler error (far down):
- for (int i = 0; i < QUANTS; i++)
+ Real straddle = 0;
+ Real sit = beam_f / 2 - staffline_f / 2;
+ Real inter = interline_f / 2;
+ Real hang = interline_f - beam_f / 2 + staffline_f / 2;
+
+ /*
+ Put all allowed positions into an array.
+ Whether a position is allowed or not depends on
+ strictness of quantisation, multiplicity and direction.
+
+ For simplicity, we'll assume dir = UP and correct if
+ dir = DOWN afterwards.
*/
-
- // fixme!
- for (int ii = 0; ii < QUANTS; ii++)
- qy[ii] -= 0.5 *beam_thickness;
- Pos qpos[QUANTS] =
- {
- HANG,
- STRADDLE,
- SIT,
- INTER,
- HANG,
- STRADDLE,
- SIT
- };
-
- // y-values traditionally use internote dimension
- Real y = left_y_ * internote_f;
- int y_i = (int)floor(y / interline_f);
- y = (y / interline_f - y_i) * interline_f;
-
- if (y < 0)
- for (int ii = 0; ii < QUANTS; ii++)
- qy[ii] -= interline_f;
-
- int lower_i = 0;
- int i = 0;
- for (; i < QUANTS; i++)
+
+ // dim(left_y_) = internote
+ Real dy_f = dir_ * left_y_ * internote_f;
+
+ Array<Real> allowed_position;
+ if (quantisation_ != TEST)
{
- if (qy[i] > y)
- break;
- // found if lower_i is allowed, and nearer (from below) y than new pos
- if ((pos & qpos[lower_i]) && (y - qy[lower_i] < y - qy[i]))
- break;
- // if new pos is allowed or old pos isn't: assign new pos
- if ((pos & qpos[i]) || !(pos & qpos[lower_i]))
- lower_i = i;
+ if (quantisation_ <= NORMAL)
+ {
+ if ((multiple_i_ <= 2) || (abs (dy_f) >= staffline_f / 2))
+ allowed_position.push (straddle);
+ if ((multiple_i_ <= 1) || (abs (dy_f) >= staffline_f / 2))
+ allowed_position.push (sit);
+ allowed_position.push (hang);
+ }
+ else
+ // TODO: check and fix TRADITIONAL
+ {
+ if ((multiple_i_ <= 2) || (abs (dy_f) >= staffline_f / 2))
+ allowed_position.push (straddle);
+ if ((multiple_i_ <= 1) && (dy_f <= staffline_f / 2))
+ allowed_position.push (sit);
+ if (dy_f >= -staffline_f / 2)
+ allowed_position.push (hang);
+ }
}
-
- int upper_i = QUANTS - 1;
- for (i = QUANTS - 1; i >= 0; i--)
+ else
{
- if (qy[i] < y)
- break;
- // found if upper_i is allowed, and nearer (from above) y than new pos
- if ((pos & qpos[upper_i]) && (qy[upper_i] - y < qy[i] - y))
- break;
- // if new pos is allowed or old pos isn't: assign new pos
- if ((pos & qpos[i]) || !(pos & qpos[upper_i]))
- upper_i = i;
+ if (test_pos == 0)
+ {
+ allowed_position.push (hang);
+ cout << "hang" << hang << endl;
+ }
+ else if (test_pos==1)
+ {
+ allowed_position.push (straddle);
+ cout << "straddle" << straddle << endl;
+ }
+ else if (test_pos==2)
+ {
+ allowed_position.push (sit);
+ cout << "sit" << sit << endl;
+ }
+ else if (test_pos==3)
+ {
+ allowed_position.push (inter);
+ cout << "inter" << inter << endl;
+ }
}
- // y-values traditionally use internote dimension
- Real upper_y = (qy[upper_i] + interline_f * y_i) / internote_f;
- Real lower_y = (qy[lower_i] + interline_f * y_i) / internote_f;
+#if 0
+ // this currently never happens
+ Real q = (dy_f / interline_f - dy_i) * interline_f;
+ if ((quantisation_ < NORMAL) && (q < interline_f / 3 - beam_f / 2))
+ allowed_position.push (inter);
+#endif
+ Interval iv = quantise_iv (allowed_position, interline_f, dy_f);
+
+ Real quanty_f = dy_f - iv.min () <= iv.max () - dy_f ? iv.min () : iv.max ();
if (extend_b)
- left_y_ = (dir_ > 0 ? upper_y : lower_y);
- else
- left_y_ = (upper_y - y < y - lower_y ? upper_y : lower_y);
+ quanty_f = iv.max ();
+
+ // dim(left_y_) = internote
+ left_y_ = dir_ * quanty_f / internote_f;
}
void
Beam::set_stemlens ()
{
- Real x0 = stems_[0]->hpos_f ();
- Real dy = 0;
-
+ Real interbeam_f = paper ()->interbeam_f ();
Real interline_f = paper ()->interline_f ();
Real internote_f = interline_f / 2;
- Real staffline_thickness = paper ()->rule_thickness ();
- Real beam_thickness = 0.48 * (interline_f - staffline_thickness);
- Real interbeam_f = paper ()->interbeam_f ();
- if (multiple_i_ > 3)
- interbeam_f += 2.0 * staffline_thickness / 4;
- Real xspan_f = stems_.top ()->hpos_f () - stems_[0]->hpos_f ();
- /*
- ugh, y values are in "internote" dimension
- */
- Real yspan_f = xspan_f * abs (slope_f_ * internote_f);
- int yspan_i = (int)(yspan_f / interline_f);
-
- Pos left_pos = NONE;
+ Real staffline_f = paper ()->rule_thickness ();
+ Real beam_f = 0.48 * (interline_f - staffline_f);
- if ((yspan_f < staffline_thickness / 2) || (quantisation_ == NORMAL))
- left_pos = (Pos)(STRADDLE | SIT | HANG);
- else
- left_pos = (Pos) (sign (slope_f_) > 0 ? STRADDLE | HANG
- : SIT | STRADDLE);
-
- /*
- ugh, slope currently mangled by availability mf chars...
- be more generous regarding beam position between stafflines
+ /*
+ if we have more than three beams they must open-up
+ in order to not collide with staff lines
*/
- Real q = (yspan_f / interline_f - yspan_i) * interline_f;
- if ((quantisation_ < NORMAL) && (q < interline_f / 3 - beam_thickness / 2))
- left_pos = (Pos) (left_pos | INTER);
-
-
- if (multiple_i_ > 1)
- left_pos = (Pos) (dir_ > 0 ? HANG : SIT);
+ if (multiple_i_ > 3)
+ interbeam_f += 2.0 * staffline_f / 4;
+ Real x0 = stems_[0]->hpos_f ();
+ Real dy = 0;
// ugh, rounding problems! (enge floots)
- const Real EPSILON = interline_f / 10;
+ Real epsilon = staffline_f / 8;
do
{
left_y_ += dy * dir_;
- quantise_left_y (left_pos, dy);
+ quantise_left_y (dy);
dy = 0;
for (int i=0; i < stems_.size (); i++)
{
Real x = s->hpos_f () - x0;
s->set_stemend (left_y_ + slope_f_ * x);
- Real y = s->stem_length_f ();
- // duh:
-// int mult_i = stems_[i]->beams_left_i_ >? stems_[i]->beams_right_i_;
- int mult_i = multiple_i_;
- if (mult_i > 1)
- // dim(y) = internote
- y -= (Real)(mult_i - 1) * interbeam_f / internote_f;
- if (y < MINIMUM_STEMLEN[mult_i])
- dy = dy >? (MINIMUM_STEMLEN[mult_i] - y);
+ Real y = s->stem_end_f () * dir_;
+ Stem_info info (s);
+ if (y < info.miny_f_)
+ dy = dy >? info.miny_f_ - y;
}
- } while (abs (dy) > EPSILON);
+ } while (abs (dy) > epsilon);
+
+ // ugh asymmetric symbol ?
+ if (dir_ == UP)
+ left_y_ -= dir_ * staffline_f / 4;
+
+ if ((multiple_i_ >= 3) && (dir_ == UP))
+ left_y_ -= dir_ * staffline_f / 4;
+
+ test_pos++;
+ test_pos %= 4;
}
+/*
+ FIXME
+ ugh. this is broken and should be rewritten.
+ - [c8. c32 c32]
+ */
void
Beam::set_grouping (Rhythmic_grouping def, Rhythmic_grouping cur)
{
assert (!next || next->hpos_f () > here->hpos_f ());
assert (!prev || prev->hpos_f () < here->hpos_f ());
- Real staffline_thickness = paper ()->rule_thickness ();
+ Real staffline_f = paper ()->rule_thickness ();
Real interbeam_f = paper ()->interbeam_f ();
Real internote_f =paper ()->internote_f ();
Real interline_f = 2 * internote_f;
- Real beamheight_f = 0.48 * (interline_f - staffline_thickness);
+ Real beamheight_f = 0.48 * (interline_f - staffline_f);
+
if (multiple_i_ > 3)
- interbeam_f += 2.0 * staffline_thickness / 4;
+ interbeam_f += 2.0 * staffline_f / 4;
Real dy = interbeam_f;
- Real stemdx = staffline_thickness;
+ Real stemdx = staffline_f;
Real sl = slope_f_* internote_f;
paper ()->lookup_l ()->beam (sl, 20 PT, 1 PT);
*/
return leftbeams;
}
+