/*
- slur.cc -- implement external interface for Slur
+ This file is part of LilyPond, the GNU music typesetter.
- source file of the GNU LilyPond music typesetter
-
- (c) 1996--2004 Han-Wen Nienhuys <hanwen@cs.uu.nl>
+ Copyright (C) 1996--2015 Han-Wen Nienhuys <hanwen@xs4all.nl>
Jan Nieuwenhuizen <janneke@gnu.org>
-*/
+ LilyPond is free software: you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
-#include <math.h>
+ LilyPond is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with LilyPond. If not, see <http://www.gnu.org/licenses/>.
+*/
+#include "slur.hh"
+#include "grob-info.hh"
+#include "grob-array.hh"
#include "beam.hh"
#include "bezier.hh"
#include "directional-element-interface.hh"
#include "font-interface.hh"
-#include "group-interface.hh"
-#include "lily-guile.hh"
+#include "item.hh"
+#include "pointer-group-interface.hh"
#include "lookup.hh"
-#include "main.hh"
+#include "main.hh" // DEBUG_SLUR_SCORING
#include "note-column.hh"
#include "output-def.hh"
-#include "rod.hh"
-#include "slur.hh"
+#include "skyline-pair.hh"
#include "spanner.hh"
#include "staff-symbol-referencer.hh"
-#include "staff-symbol.hh"
#include "stem.hh"
-#include "stencil.hh"
-#include "text-item.hh"
+#include "text-interface.hh"
+#include "tie.hh"
#include "warn.hh"
+#include "slur-scoring.hh"
+#include "separation-item.hh"
+#include "unpure-pure-container.hh"
+#include "international.hh"
-MAKE_SCHEME_CALLBACK (Slur, height, 2);
+MAKE_SCHEME_CALLBACK (Slur, calc_direction, 1)
SCM
-Slur::height (SCM smob, SCM ax)
+Slur::calc_direction (SCM smob)
{
- Axis a = (Axis)scm_to_int (ax);
- Grob *me = unsmob_grob (smob);
- assert (a == Y_AXIS);
-
- SCM mol = me->get_uncached_stencil ();
- Interval ext;
- if (Stencil *m = unsmob_stencil (mol))
- ext = m->extent (a);
- return ly_interval2scm (ext);
+ Grob *me = unsmob<Grob> (smob);
+ extract_grob_set (me, "note-columns", encompasses);
+
+ if (encompasses.empty ())
+ {
+ me->suicide ();
+ return SCM_BOOL_F;
+ }
+
+ Direction d = DOWN;
+ for (vsize i = 0; i < encompasses.size (); i++)
+ {
+ if (Note_column::dir (encompasses[i]) < 0)
+ {
+ d = UP;
+ break;
+ }
+ }
+ return scm_from_int (d);
}
-/*
- Ugh should have dash-length + dash-period
-*/
-MAKE_SCHEME_CALLBACK (Slur, print,1);
+MAKE_SCHEME_CALLBACK (Slur, pure_height, 3);
+SCM
+Slur::pure_height (SCM smob, SCM start_scm, SCM end_scm)
+{
+ /*
+ Note that this estimation uses a rote add-on of 0.5 to the
+ highest encompassed note-head for a slur estimate. This is,
+ in most cases, shorter than the actual slur.
+
+ Ways to improve this could include:
+ -- adding extra height for scripts that avoid slurs on the inside
+ -- adding extra height for the "bulge" in a slur above a note head
+ */
+ Grob *me = unsmob<Grob> (smob);
+ int start = scm_to_int (start_scm);
+ int end = scm_to_int (end_scm);
+ Direction dir = get_grob_direction (me);
+
+ extract_grob_set (me, "note-columns", encompasses);
+ Interval ret;
+ ret.set_empty ();
+
+ Grob *parent = me->get_parent (Y_AXIS);
+ Drul_array<Real> extremal_heights (infinity_f, -infinity_f);
+ if (common_refpoint_of_array (encompasses, me, Y_AXIS) != parent)
+ /* this could happen if, for example, we are a cross-staff slur.
+ in this case, we want to be ignored */
+ return ly_interval2scm (Interval ());
+
+ for (vsize i = 0; i < encompasses.size (); i++)
+ {
+ Interval d = encompasses[i]->pure_y_extent (parent, start, end);
+ if (!d.is_empty ())
+ {
+ for (DOWN_and_UP (downup))
+ ret.add_point (d[dir]);
+
+ if (extremal_heights[LEFT] == infinity_f)
+ extremal_heights[LEFT] = d[dir];
+ extremal_heights[RIGHT] = d[dir];
+ }
+ }
+
+ if (ret.is_empty ())
+ return ly_interval2scm (Interval ());
+
+ Interval extremal_span;
+ extremal_span.set_empty ();
+ for (LEFT_and_RIGHT (d))
+ extremal_span.add_point (extremal_heights[d]);
+ ret[-dir] = minmax (dir, extremal_span[-dir], ret[-dir]);
+
+ /*
+ The +0.5 comes from the fact that we try to place a slur
+ 0.5 staff spaces from the note-head.
+ (see Slur_score_state.get_base_attachments ())
+ */
+ ret += 0.5 * dir;
+ return ly_interval2scm (ret);
+}
+
+MAKE_SCHEME_CALLBACK (Slur, height, 1);
+SCM
+Slur::height (SCM smob)
+{
+ Grob *me = unsmob<Grob> (smob);
+
+ // FIXME uncached
+ Stencil *m = me->get_stencil ();
+ return m ? ly_interval2scm (m->extent (Y_AXIS))
+ : ly_interval2scm (Interval ());
+}
+
+MAKE_SCHEME_CALLBACK (Slur, print, 1);
SCM
Slur::print (SCM smob)
{
- Grob *me = unsmob_grob (smob);
- if (!scm_ilength (me->get_property ("note-columns")))
+ Grob *me = unsmob<Grob> (smob);
+ extract_grob_set (me, "note-columns", encompasses);
+ if (encompasses.empty ())
{
me->suicide ();
return SCM_EOL;
}
- Real base_thick = robust_scm2double (me->get_property ("thickness"), 1);
- Real thick = base_thick * Staff_symbol_referencer::line_thickness (me);
+ Real staff_thick = Staff_symbol_referencer::line_thickness (me);
+ Real base_thick = staff_thick
+ * robust_scm2double (me->get_property ("thickness"), 1);
+ Real line_thick = staff_thick
+ * robust_scm2double (me->get_property ("line-thickness"), 1);
- Real ss = Staff_symbol_referencer::staff_space (me);
Bezier one = get_curve (me);
-
Stencil a;
- /*
- TODO: replace dashed with generic property.
- */
- SCM d = me->get_property ("dashed");
- if (scm_is_number (d))
- a = Lookup::dashed_slur (one, thick, thick * robust_scm2double (d, 0));
- else
- a = Lookup::slur (one, get_grob_direction (me) * base_thick * ss / 10.0,
- thick);
-
-#if DEBUG_SLUR_QUANTING
- SCM quant_score = me->get_property ("quant-score");
+ SCM dash_definition = me->get_property ("dash-definition");
+ a = Lookup::slur (one,
+ get_grob_direction (me) * base_thick,
+ line_thick,
+ dash_definition);
- if (to_boolean (me->get_paper ()
- ->lookup_variable (ly_symbol2scm ("debug-slur-scoring")))
- && scm_is_string (quant_score))
+#if DEBUG_SLUR_SCORING
+ SCM annotation = me->get_property ("annotation");
+ if (scm_is_string (annotation))
{
- String str;
+ string str;
SCM properties = Font_interface::text_font_alist_chain (me);
- Stencil tm = *unsmob_stencil (Text_item::interpret_markup
- (me->get_paper ()->self_scm (), properties,
- quant_score));
- a.add_at_edge (Y_AXIS, get_grob_direction (me), tm, 1.0, 0);
+ if (!scm_is_number (me->get_property ("font-size")))
+ properties = scm_cons (scm_acons (ly_symbol2scm ("font-size"), scm_from_int (-6), SCM_EOL),
+ properties);
+
+ Stencil tm = *unsmob<Stencil> (Text_interface::interpret_markup
+ (me->layout ()->self_scm (), properties,
+ annotation));
+ a.add_at_edge (Y_AXIS, get_grob_direction (me), tm, 1.0);
}
#endif
return a.smobbed_copy ();
}
+/*
+ it would be better to do this at engraver level, but that is
+ fragile, as the breakable items are generated on staff level, at
+ which point slur starts and ends have to be tracked
+*/
+void
+Slur::replace_breakable_encompass_objects (Grob *me)
+{
+ extract_grob_set (me, "encompass-objects", extra_objects);
+ vector<Grob *> new_encompasses;
+
+ for (vsize i = 0; i < extra_objects.size (); i++)
+ {
+ Grob *g = extra_objects[i];
+
+ if (has_interface<Separation_item> (g))
+ {
+ extract_grob_set (g, "elements", breakables);
+ for (vsize j = 0; j < breakables.size (); j++)
+ /* if we encompass a separation-item that spans multiple staves,
+ we filter out the grobs that don't belong to our staff */
+ if (me->common_refpoint (breakables[j], Y_AXIS) == me->get_parent (Y_AXIS)
+ && scm_is_eq (breakables[j]->get_property ("avoid-slur"),
+ ly_symbol2scm ("inside")))
+ new_encompasses.push_back (breakables[j]);
+ }
+ else
+ new_encompasses.push_back (g);
+ }
+
+ if (Grob_array *a = unsmob<Grob_array> (me->get_object ("encompass-objects")))
+ a->set_array (new_encompasses);
+}
Bezier
-Slur::get_curve (Grob*me)
+Slur::get_curve (Grob *me)
{
Bezier b;
int i = 0;
- for (SCM s = me->get_property ("control-points"); s != SCM_EOL;
- s = ly_cdr (s))
- b.control_[i++] = ly_scm2offset (ly_car (s));
+ for (SCM s = me->get_property ("control-points"); scm_is_pair (s);
+ s = scm_cdr (s))
+ b.control_[i++] = ly_scm2offset (scm_car (s));
return b;
}
void
-Slur::add_column (Grob*me, Grob*n)
+Slur::add_column (Grob *me, Grob *n)
{
Pointer_group_interface::add_grob (me, ly_symbol2scm ("note-columns"), n);
- add_bound_item (dynamic_cast<Spanner*> (me), dynamic_cast<Item*> (n));
+ add_bound_item (dynamic_cast<Spanner *> (me), n);
}
-
void
-Slur::add_extra_encompass (Grob*me, Grob*n)
+Slur::add_extra_encompass (Grob *me, Grob *n)
{
Pointer_group_interface::add_grob (me, ly_symbol2scm ("encompass-objects"), n);
}
+MAKE_SCHEME_CALLBACK_WITH_OPTARGS (Slur, pure_outside_slur_callback, 4, 1, "");
+SCM
+Slur::pure_outside_slur_callback (SCM grob, SCM start_scm, SCM end_scm, SCM offset_scm)
+{
+ int start = robust_scm2int (start_scm, 0);
+ int end = robust_scm2int (end_scm, 0);
+ Grob *script = unsmob<Grob> (grob);
+ Grob *slur = unsmob<Grob> (script->get_object ("slur"));
+ if (!slur)
+ return offset_scm;
+
+ SCM avoid = script->get_property ("avoid-slur");
+ if (!scm_is_eq (avoid, ly_symbol2scm ("outside"))
+ && !scm_is_eq (avoid, ly_symbol2scm ("around")))
+ return offset_scm;
+ Real offset = robust_scm2double (offset_scm, 0.0);
+ Direction dir = get_grob_direction (script);
+ return scm_from_double (offset + dir * slur->pure_y_extent (slur, start, end).length () / 4);
+}
-MAKE_SCHEME_CALLBACK (Slur, outside_slur_callback, 2);
+MAKE_SCHEME_CALLBACK_WITH_OPTARGS (Slur, outside_slur_callback, 2, 1, "");
SCM
-Slur::outside_slur_callback (SCM grob, SCM axis)
+Slur::outside_slur_callback (SCM grob, SCM offset_scm)
{
- Grob *script = unsmob_grob (grob);
- Axis a = Axis (scm_to_int (axis));
- assert (a == Y_AXIS);
-
- Grob *slur = unsmob_grob (script->get_property ("slur"));
+ Grob *script = unsmob<Grob> (grob);
+ Grob *slur = unsmob<Grob> (script->get_object ("slur"));
if (!slur)
- return scm_from_int (0);
-
+ return offset_scm;
+
+ SCM avoid = script->get_property ("avoid-slur");
+ if (!scm_is_eq (avoid, ly_symbol2scm ("outside"))
+ && !scm_is_eq (avoid, ly_symbol2scm ("around")))
+ return offset_scm;
+
+ Direction dir = get_grob_direction (script);
+ if (dir == CENTER)
+ return offset_scm;
+
Grob *cx = script->common_refpoint (slur, X_AXIS);
Grob *cy = script->common_refpoint (slur, Y_AXIS);
Bezier curve = Slur::get_curve (slur);
curve.translate (Offset (slur->relative_coordinate (cx, X_AXIS),
- slur->relative_coordinate (cy, Y_AXIS)));
+ slur->relative_coordinate (cy, Y_AXIS)));
Interval yext = robust_relative_extent (script, cy, Y_AXIS);
Interval xext = robust_relative_extent (script, cx, X_AXIS);
+ Interval slur_wid (curve.control_[0][X_AXIS], curve.control_[3][X_AXIS]);
+
+ /*
+ cannot use is_empty because some 0-extent scripts
+ come up with TabStaffs.
+ */
+ if (xext.length () <= 0 || yext.length () <= 0)
+ return offset_scm;
+ bool contains = false;
+ for (LEFT_and_RIGHT (d))
+ contains |= slur_wid.contains (xext[d]);
- Real slur_padding = robust_scm2double (me->get_property ("padding"),
- 0.2); // todo: slur property, script property?
+ if (!contains)
+ return offset_scm;
+
+ Real offset = robust_scm2double (offset_scm, 0);
+ yext.translate (offset);
+
+ /* FIXME: slur property, script property? */
+ Real slur_padding = robust_scm2double (script->get_property ("slur-padding"),
+ 0.0);
yext.widen (slur_padding);
-
- Interval bezext (curve.control_[0][X_AXIS],
- curve.control_[3][X_AXIS]);
-
- Real x = xext.center ();
- if (bezext.contains (x))
- ;
- else if (!bezext.contains (xext[RIGHT]))
- x = xext[LEFT];
- else if (!bezext.contains (xext[LEFT]))
- x = xext[RIGHT];
-
-
- if (!bezext.contains (x))
- return scm_make_real (0);
-
- Real y = curve.get_other_coordinate (X_AXIS, x);
- if (yext.contains (y))
+
+ Interval exts[] = {xext, yext};
+ bool do_shift = false;
+ Real EPS = 1.0e-5;
+ if (scm_is_eq (avoid, ly_symbol2scm ("outside")))
+ {
+ for (LEFT_and_RIGHT (d))
+ {
+ Real x = minmax (-d, xext[d], curve.control_[d == LEFT ? 0 : 3][X_AXIS] + -d * EPS);
+ Real y = curve.get_other_coordinate (X_AXIS, x);
+ do_shift = y == minmax (dir, yext[-dir], y);
+ if (do_shift)
+ break;
+ }
+ }
+ else
+ {
+ for (int a = X_AXIS; a < NO_AXES; a++)
+ {
+ for (LEFT_and_RIGHT (d))
+ {
+ vector<Real> coords = curve.get_other_coordinates (Axis (a), exts[a][d]);
+ for (vsize i = 0; i < coords.size (); i++)
+ {
+ do_shift = exts[(a + 1) % NO_AXES].contains (coords[i]);
+ if (do_shift)
+ break;
+ }
+ if (do_shift)
+ break;
+ }
+ if (do_shift)
+ break;
+ }
+ }
+
+ Real avoidance_offset = do_shift ? curve.minmax (X_AXIS, max (xext[LEFT], curve.control_[0][X_AXIS] + EPS), min (xext[RIGHT], curve.control_[3][X_AXIS] - EPS), dir) - yext[-dir] : 0.0;
+
+ return scm_from_double (offset + avoidance_offset);
+}
+
+MAKE_SCHEME_CALLBACK (Slur, vertical_skylines, 1);
+SCM
+Slur::vertical_skylines (SCM smob)
+{
+ Grob *me = unsmob<Grob> (smob);
+ vector<Box> boxes;
+
+ if (!me)
+ return Skyline_pair (boxes, X_AXIS).smobbed_copy ();
+
+ Bezier curve = Slur::get_curve (me);
+ vsize box_count = robust_scm2vsize (me->get_property ("skyline-quantizing"), 10);
+ for (vsize i = 0; i < box_count; i++)
+ {
+ Box b;
+ b.add_point (curve.curve_point (i * 1.0 / box_count));
+ b.add_point (curve.curve_point ((i + 1) * 1.0 / box_count));
+ boxes.push_back (b);
+ }
+
+ return Skyline_pair (boxes, X_AXIS).smobbed_copy ();
+}
+
+/*
+ * Used by Slur_engraver:: and Phrasing_slur_engraver::
+ */
+void
+Slur::auxiliary_acknowledge_extra_object (Grob_info const &info,
+ vector<Grob *> &slurs,
+ vector<Grob *> &end_slurs)
+{
+ if (slurs.empty () && end_slurs.empty ())
+ return;
+
+ Grob *e = info.grob ();
+ SCM avoid = e->get_property ("avoid-slur");
+ Grob *slur;
+ if (end_slurs.size () && !slurs.size ())
+ slur = end_slurs[0];
+ else
+ slur = slurs[0];
+
+ if (has_interface<Tie> (e)
+ || scm_is_eq (avoid, ly_symbol2scm ("inside")))
+ {
+ for (vsize i = slurs.size (); i--;)
+ add_extra_encompass (slurs[i], e);
+ for (vsize i = end_slurs.size (); i--;)
+ add_extra_encompass (end_slurs[i], e);
+ if (slur)
+ e->set_object ("slur", slur->self_scm ());
+ }
+ else if (scm_is_eq (avoid, ly_symbol2scm ("outside"))
+ || scm_is_eq (avoid, ly_symbol2scm ("around")))
{
- Direction dir = get_grob_direction (script);
- return scm_make_real (y - yext[-dir] + dir * slur_padding);
+ if (slur)
+ {
+ chain_offset_callback (e,
+ Unpure_pure_container::make_smob (outside_slur_callback_proc,
+ pure_outside_slur_callback_proc),
+ Y_AXIS);
+ chain_callback (e, outside_slur_cross_staff_proc, ly_symbol2scm ("cross-staff"));
+ e->set_object ("slur", slur->self_scm ());
+ }
}
- return scm_make_real (0.0);
+ else if (!scm_is_eq (avoid, ly_symbol2scm ("ignore")))
+ e->warning (_f ("Ignoring grob for slur: %s. avoid-slur not set?",
+ e->name ().c_str ()));
}
+/*
+ A callback that will be chained together with the original cross-staff
+ value of a grob that is placed 'outside or 'around a slur. This just says
+ that any grob becomes cross-staff if it is placed 'outside or 'around a
+ cross-staff slur.
+*/
+MAKE_SCHEME_CALLBACK (Slur, outside_slur_cross_staff, 2)
+SCM
+Slur::outside_slur_cross_staff (SCM smob, SCM previous)
+{
+ if (to_boolean (previous))
+ return previous;
+
+ Grob *me = unsmob<Grob> (smob);
+ Grob *slur = unsmob<Grob> (me->get_object ("slur"));
+
+ if (!slur)
+ return SCM_BOOL_F;
+ return slur->get_property ("cross-staff");
+}
+
+MAKE_SCHEME_CALLBACK (Slur, calc_cross_staff, 1)
+SCM
+Slur::calc_cross_staff (SCM smob)
+{
+ Grob *me = unsmob<Grob> (smob);
+
+ extract_grob_set (me, "note-columns", cols);
+ extract_grob_set (me, "encompass-objects", extras);
+
+ for (vsize i = 0; i < cols.size (); i++)
+ {
+ if (Grob *s = Note_column::get_stem (cols[i]))
+ if (to_boolean (s->get_property ("cross-staff")))
+ return SCM_BOOL_T;
+ }
+
+ /* the separation items are dealt with in replace_breakable_encompass_objects
+ so we can ignore them here */
+ vector<Grob *> non_sep_extras;
+ for (vsize i = 0; i < extras.size (); i++)
+ if (!has_interface<Separation_item> (extras[i]))
+ non_sep_extras.push_back (extras[i]);
+
+ Grob *common = common_refpoint_of_array (cols, me, Y_AXIS);
+ common = common_refpoint_of_array (non_sep_extras, common, Y_AXIS);
+
+ return scm_from_bool (common != me->get_parent (Y_AXIS));
+}
-ADD_INTERFACE (Slur, "slur-interface",
- "A slur",
- "quant-score excentricity encompass-objects control-points dashed slur-details direction height-limit note-columns ratio thickness");
+ADD_INTERFACE (Slur,
+ "A slur."
+ "\n"
+ "The following properties may be set in the @code{details}"
+ " list.\n"
+ "\n"
+ "@table @code\n"
+ "@item region-size\n"
+ "Size of region (in staff spaces) for determining"
+ " potential endpoints in the Y direction.\n"
+ "@item head-encompass-penalty\n"
+ "Demerit to apply when note heads collide with a slur.\n"
+ "@item stem-encompass-penalty\n"
+ "Demerit to apply when stems collide with a slur.\n"
+ "@item edge-attraction-factor\n"
+ "Factor used to calculate the demerit for distances"
+ " between slur endpoints and their corresponding base"
+ " attachments.\n"
+ "@item same-slope-penalty\n"
+ "Demerit for slurs with attachment points that are"
+ " horizontally aligned.\n"
+ "@item steeper-slope-factor\n"
+ "Factor used to calculate demerit only if this slur is"
+ " not broken.\n"
+ "@item non-horizontal-penalty\n"
+ "Demerit for slurs with attachment points that are not"
+ " horizontally aligned.\n"
+ "@item max-slope\n"
+ "The maximum slope allowed for this slur.\n"
+ "@item max-slope-factor\n"
+ "Factor that calculates demerit based on the max slope.\n"
+ "@item free-head-distance\n"
+ "The amount of vertical free space that must exist"
+ " between a slur and note heads.\n"
+ "@item absolute-closeness-measure\n"
+ "Factor to calculate demerit for variance between a note"
+ " head and slur.\n"
+ "@item extra-object-collision-penalty\n"
+ "Factor to calculate demerit for extra objects that the"
+ " slur encompasses, including accidentals, fingerings, and"
+ " tuplet numbers.\n"
+ "@item accidental-collision\n"
+ "Factor to calculate demerit for @code{Accidental} objects"
+ " that the slur encompasses. This property value replaces"
+ " the value of @code{extra-object-collision-penalty}.\n"
+ "@item extra-encompass-free-distance\n"
+ "The amount of vertical free space that must exist"
+ " between a slur and various objects it encompasses,"
+ " including accidentals, fingerings, and tuplet numbers.\n"
+ "@item extra-encompass-collision-distance\n"
+ "This detail is currently unused.\n"
+ "@item head-slur-distance-factor\n"
+ "Factor to calculate demerit for variance between a note"
+ " head and slur.\n"
+ "@item head-slur-distance-max-ratio\n"
+ "The maximum value for the ratio of distance between a"
+ " note head and slur.\n"
+ "@item gap-to-staffline-inside\n"
+ "Minimum gap inside the curve of the slur"
+ " where the slur is parallel to a staffline.\n"
+ "@item gap-to-staffline-outside\n"
+ "Minimum gap outside the curve of the slur"
+ " where the slur is parallel to a staffline.\n"
+ "@item free-slur-distance\n"
+ "The amount of vertical free space that must exist"
+ " between adjacent slurs. This subproperty only works"
+ " for @code{PhrasingSlur}.\n"
+ "@item edge-slope-exponent\n"
+ "Factor used to calculate the demerit for the slope of"
+ " a slur near its endpoints; a larger value yields a"
+ " larger demerit.\n"
+ "@end table\n",
+
+ /* properties */
+ "annotation "
+ "avoid-slur " /* UGH. */
+ "control-points "
+ "dash-definition "
+ "details "
+ "direction "
+ "eccentricity "
+ "encompass-objects "
+ "height-limit "
+ "inspect-quants "
+ "inspect-index "
+ "line-thickness "
+ "note-columns "
+ "positions "
+ "ratio "
+ "thickness "
+ );