% Feta (not the Font-En-Tja) music font -- implement noteheads
% This file is part of LilyPond, the GNU music typesetter.
%
% Copyright (C) 1997--2012 Jan Nieuwenhuizen <janneke@gnu.org>
% & Han-Wen Nienhuys <hanwen@xs4all.nl>
% & Juergen Reuter <reuter@ipd.uka.de>
%
% The LilyPond font 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, or under the SIL Open Font License.
%
% 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/>.

test_outlines := 0;


save remember_pic;
picture remember_pic;


% Most beautiful noteheads are pronounced, not circular,
% and not even symmetric.
% These examples are inspired by [Wanske]; see literature list.



%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% NOTE HEAD VARIABLES
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

save half_notehead_width, whole_notehead_width;
save solfa_noteheight;

numeric whole_notehead_width;
numeric half_notehead_width;

fet_begingroup ("noteheads");


%
% solfa heads should not overlap on chords.
%
solfa_noteheight# := staff_space# - stafflinethickness#;

def undraw_inside_ellipse (expr ellipticity, tilt, superness, clearance) =
begingroup
	save pat;
	path pat;

	pat := superellipse ((ellipticity, 0), (0, 1.0),
			     (-ellipticity, 0), (0, -1.0),
			     superness);
	pat := pat rotated tilt;

	save top_point, right_point;
	pair top_point, right_point;

	top_point := directionpoint left of pat;
	right_point := directionpoint up of pat;

	save height, scaling;

	height# = staff_space# + stafflinethickness# - clearance;
	scaling# = height# / (2 ypart (top_point));
	define_pixels (scaling);
	pat := pat scaled scaling shifted (w / 2, .5 (h - d));

	if test_outlines = 1:
		draw pat;
	else:
		unfill pat;
	fi
endgroup;
enddef;


def draw_longa (expr up) =
	save stemthick, fudge;

	stemthick# = 2 stafflinethickness#;
	define_whole_blacker_pixels (stemthick);

	% Longas of smaller design sizes should have their lines farther
	% apart (the overlap with notehead ellipsoid should be smaller).
	fudge = hround (blot_diameter
			* min (max (-0.15,
				    (0.9
				     - (20 / (design_size + 4)))),
			       0.3));

	draw_outside_ellipse (1.80, 0, 0.707, 0);
	undraw_inside_ellipse (1.30, 125, 0.68, 2 stafflinethickness#);

	pickup pencircle scaled stemthick;

	% Longas of smaller design sizes should have their lines longer.
	line_length := min (max (0.7, (64/60 - (design_size / 60))), 0.85);

	% Line lengths between 0.72 and 0.77 are not nice
	% because they are neither separate nor connected
	% when there is an interval of fourth.
	if line_length < 0.75:
		quanted_line_length := min (0.72, line_length);
	else:
		quanted_line_length := max (0.77, line_length);
	fi;


	final_line_length := quanted_line_length * staff_space;

	save boxtop, boxbot;
	define_pixels (boxtop, boxbot);

	if up:
		bot y1 = -final_line_length;
		top y2 = final_line_length;
		rt x1 - fudge = 0;
		x1 = x2;

		fudge + lft x3 = width;
		x4 = x3;
		top y4 = h + 3.0 staff_space;
		y3 = y1;
		boxtop# := staff_space# * (quanted_line_length + 3.0) - stemthick# ;
		boxbot# := staff_space# * quanted_line_length;
	else:
		bot y1 = -d - 3.0 staff_space;
		top y2 = final_line_length;
		rt x1 - fudge = 0;
		x1 = x2;

		fudge + lft x3 = width;
		x4 = x3;
		y4 = y2;
		bot y3 = -final_line_length;
		boxtop# := staff_space# * quanted_line_length;
		boxbot# := staff_space# * (quanted_line_length + 3.0) - stemthick# ;
	fi;

	draw_gridline (z1, z2, stemthick);
	draw_gridline (z3, z4, stemthick);

	set_char_box (stemthick#,
	              width# + stemthick#,
	              boxbot#,
	              boxtop#);

	labels (1, 2, 3, 4);
enddef;


fet_beginchar ("Longa notehead", "uM2");
	draw_longa (true);

	draw_staff (-2, 2, 0);
fet_endchar;


fet_beginchar ("Longa notehead", "dM2");
	draw_longa (false);

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Longa notehead", "uM2");
		draw_longa (true);

		draw_staff (-2, 2, 0.5);
	fet_endchar;


	fet_beginchar ("Longa notehead", "dM2");
		draw_longa (false);

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


def draw_brevis (expr linecount, line_thickness_multiplier) =
	save stemthick, fudge, gap;

	stemthick# = line_thickness_multiplier * 2 * stafflinethickness#;
	define_whole_blacker_pixels (stemthick);

	% double-lined breves of smaller design sizes should have
	% bigger gap between the lines.
	gap# := (0.95 - 0.008 * design_size) * stemthick#;

	% Breves of smaller design sizes should have their lines farther
	% apart (the overlap with notehead ellipsoid should be smaller).
	fudge = hround (blot_diameter
			* min (max (-0.15,
				    (0.8
				     - (20 / (design_size + 4))
				     + .1 linecount)),
			       0.3));

	draw_outside_ellipse (1.80, 0, 0.707, 0);
	undraw_inside_ellipse (1.30, 125, 0.68, 2 stafflinethickness#);

	define_pixels (gap);
	pickup pencircle scaled stemthick;

	% Breves of smaller design sizes should have their lines longer.
	line_length := min (max (0.7, (64/60 - (design_size / 60))), 0.85);

	% Line lengths between 0.72 and 0.77 are not nice
	% because they are neither separate nor connected
	% when there is an interval of fourth.
	if line_length < 0.75:
		quanted_line_length := min (0.72, line_length);
	else:
		quanted_line_length := max (0.77, line_length);
	fi;

	set_char_box (stemthick# * linecount + gap# * (linecount - 1),
	              width# + stemthick# * linecount + gap# * (linecount - 1),
	              staff_space# * quanted_line_length,
	              staff_space# * quanted_line_length);

	bot y1 = -quanted_line_length * staff_space;
	top y2 = quanted_line_length * staff_space;
	rt x1 - fudge = 0;
	x1 = x2;

	fudge + lft x3 = width;
	x4 = x3;
	y4 = y2;
	y3 = y1;

	for i := 0 step 1 until linecount - 1:
		line_distance := i * (gap + stemthick);
		draw_gridline (z1 - (line_distance, 0),
		               z2 - (line_distance, 0),
		               stemthick);
		draw_gridline (z3 + (line_distance, 0),
		               z4 + (line_distance, 0),
		               stemthick);
	endfor;
enddef;


fet_beginchar ("Brevis notehead", "sM1");
	draw_brevis (1, 1);

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Brevis notehead", "sM1");
		draw_brevis(1, 1);

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


fet_beginchar ("Double-lined brevis notehead", "sM1double");
	draw_brevis (2, 0.8);

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Double-lined brevis notehead", "sM1double");
		draw_brevis (2, 0.8);

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


fet_beginchar ("Whole notehead", "s0");
	draw_outside_ellipse (1.80 - puff_up_factor / 3.0, 0, 0.707, 0);
	undraw_inside_ellipse (1.30, 125 - puff_up_factor * 10,
			       0.68, 2 stafflinethickness#);

	whole_notehead_width# := charwd;

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Whole notehead", "s0");
		draw_outside_ellipse (1.80 - puff_up_factor / 3.0, 0,
				      0.707, 0);
		undraw_inside_ellipse (1.30, 125 - puff_up_factor * 10,
				       0.68, 2 stafflinethickness#);

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


fet_beginchar ("Half notehead", "s1");
	draw_outside_ellipse (1.53 - puff_up_factor / 3.0, 34, 0.66, 0.17);
	undraw_inside_ellipse (3.25, 33, 0.81, 2.5 stafflinethickness#);

	half_notehead_width# := charwd;

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Half notehead", "s1");
		draw_outside_ellipse (1.53 - puff_up_factor / 3.0, 34,
				      0.66, 0.17);
		undraw_inside_ellipse (3.25, 33, 0.81,
				       2.5 stafflinethickness#);

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


fet_beginchar ("Quarter notehead", "s2");
	draw_quarter_path;
	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Quarter notehead", "s2");
		draw_outside_ellipse (1.49 - puff_up_factor / 3.0, 31,
				      0.707, 0);

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


fet_beginchar ("Whole diamondhead", "s0diamond");
	draw_outside_ellipse (1.80, 0, 0.495, 0);
	undraw_inside_ellipse (1.30, 125, 0.6,
			       .4 staff_space# + stafflinethickness#);

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Whole diamondhead", "s0diamond");
		draw_outside_ellipse (1.80, 0, 0.495, 0);
		undraw_inside_ellipse (1.30, 125, 0.6,
				       .4 staff_space# + stafflinethickness#);

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


fet_beginchar ("Half diamondhead", "s1diamond");
	draw_outside_ellipse (1.50, 34, 0.49, 0.17);
	undraw_inside_ellipse (3.5, 33, 0.80,
			       .3 staff_space# + 1.5 stafflinethickness#);

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Half diamondhead", "s1diamond");
		draw_outside_ellipse (1.50, 34, 0.49, 0.17);
		undraw_inside_ellipse (3.5, 33, 0.80,
				       .3 staff_space#
				       + 1.5 stafflinethickness#);

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


fet_beginchar ("Quarter diamondhead", "s2diamond");
	draw_outside_ellipse (1.80, 35, 0.495, -0.25);

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Quarter diamondhead", "s2diamond");
		draw_outside_ellipse (1.80, 35, 0.495, -0.25);

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


vardef penposx@# (expr d) =
begingroup;
	save pat;
	path pat;

	pat = top z@#
	      .. lft z@#
	      .. bot z@#
	      .. rt z@#
	      .. cycle;
	z@#l = pat intersectionpoint (z@# -- infinity * dir (d + 180));
	z@#r = pat intersectionpoint (z@# -- infinity * dir (d));
endgroup
enddef;


%
% UGH: xs not declared as argument.
%
def define_triangle_shape (expr stemdir) =
	save triangle_a, triangle_b, triangle_c;
	save triangle_out_a, triangle_out_b, triangle_out_c;
	save triangle_in, triangle_out;
	save width, depth, height;
	save origin, left_up_dir;
	save exact_left_point, exact_right_point, exact_down_point;

	path triangle_a, triangle_b, triangle_c;
	path triangle_out_a, triangle_out_b, triangle_out_c;
	path triangle_in, triangle_out;
	pair origin, left_up_dir;
	pair exact_down_point, exact_left_point, exact_right_point;

	save pen_thick;
	pen_thick# = stafflinethickness# + .1 staff_space#;
	define_pixels (llap);
	define_blacker_pixels (pen_thick);

	left_up_dir = llap# * dir (90 + tilt);

	xpart (left_up_dir) * xs - (pen_thick# * xs) / 2 + xpart origin = 0;
	ypart origin = 0;

	exact_left_point := origin + (left_up_dir xscaled xs);
	exact_down_point := origin + (left_up_dir rotated 120 xscaled xs);
	exact_right_point := origin + (left_up_dir rotated 240 xscaled xs);

	height# = ypart (exact_left_point + origin) + pen_thick# / 2;
	depth# = -ypart (exact_down_point + origin) + pen_thick# / 2;
	width# = xpart (exact_right_point - exact_left_point)
		 + pen_thick# * xs;

	set_char_box (0, width#, depth#, height#);

	% Formerly, the shape has simply been drawn with an elliptical pen
	% (`scaled pen_thick xscaled xs'), but the envelope of such a curve
	% is of 6th degree.  For the sake of mf2pt1, we approximate it.

	pickup pencircle scaled pen_thick xscaled xs;

	z0 = (hround_pixels (xpart origin), 0);

	z1 = z1' = z0 + llap * dir (90 + tilt) xscaled xs;
	z2 = z2' = z0 + llap * dir (90 + tilt + 120) xscaled xs;
	z3 = z3' = z0 + llap * dir (90 + tilt + 240) xscaled xs;

	z12 = caveness [.5[z1, z2], z3];
	z23 = caveness [.5[z2, z3], z1];
	z31 = caveness [.5[z3, z1], z2];

	triangle_a = z1 .. z12 .. z2;
	triangle_b = z2 .. z23 .. z3;
	triangle_c = z3 .. z31 .. z1;

	penposx1 (angle (direction 0 of triangle_a) - 90);
	penposx2 (angle (direction 0 of triangle_b) - 90);
	penposx3 (angle (direction 0 of triangle_c) - 90);

	penposx1' (angle (direction infinity of triangle_c) + 90);
	penposx2' (angle (direction infinity of triangle_a) + 90);
	penposx3' (angle (direction infinity of triangle_b) + 90);

	penposx12 (angle (z12 - z0));
	penposx23 (angle (z23 - z0));
	penposx31 (angle (z31 - z0));

	z10 = (z0 -- z1) intersectionpoint (z1l .. z12l .. z2'r);
	z20 = (z0 -- z2) intersectionpoint (z2l .. z23l .. z3'r);
	z30 = (z0 -- z3) intersectionpoint (z3l .. z31l .. z1'r);

	triangle_in = z10
		      .. z12l
		      .. z20
		      & z20
		      .. z23l
		      .. z30
		      & z30
		      .. z31l
		      .. z10
		      & cycle;

	triangle_out_a = z1r .. z12r .. z2'l;
	triangle_out_b = z2r .. z23r .. z3'l;
	triangle_out_c = z3r .. z31r .. z1'l;

	triangle_out = top z1
		       .. lft z1
		       .. z1r{direction 0 of triangle_out_a}
		       & triangle_out_a
		       & {direction infinity of triangle_out_a}z2'l
		       .. lft z2
		       .. bot z2
		       .. z2r{direction 0 of triangle_out_b}
		       & triangle_out_b
		       & {direction infinity of triangle_out_b}z3'l
		       .. rt z3
		       .. top z3
		       .. z3r{direction 0 of triangle_out_c}
		       & triangle_out_c
		       & {direction infinity of triangle_out_c}z1'l
		       .. cycle;

	labels (0, 10, 20, 30);
	penlabels (1, 1', 2, 2', 3, 3', 12, 23, 31);

	% attachment Y
	if stemdir = 1:
		charwy := ypart exact_right_point;
		charwx := xpart exact_right_point + .5 pen_thick# * xs;
	else:
		charwy := -ypart exact_down_point;
		charwx := width# - (xpart exact_down_point - .5 pen_thick# * xs);
	fi
enddef;


def draw_whole_triangle_head =
	save hei, xs;
	save llap;
	save tilt;

	tilt = 40;
	llap# = 3/4 noteheight#;

	xs = 1.5;
	caveness := 0.1;
	define_triangle_shape (1);
	fill triangle_out;
	unfill triangle_in;
enddef;


fet_beginchar ("Whole trianglehead", "s0triangle");
	draw_whole_triangle_head;

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Whole trianglehead", "s0triangle");
		draw_whole_triangle_head;

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


def draw_small_triangle_head (expr dir) =
	save hei, xs;
	save llap;
	save tilt;

	tilt = 40;
	llap# = 2/3 noteheight#;
	xs = 1.2;
	caveness := 0.1;
	define_triangle_shape (dir);

	pickup feta_fillpen;

	filldraw triangle_out;
	unfilldraw triangle_in;
enddef;


fet_beginchar ("Half trianglehead (downstem)", "d1triangle");
	draw_small_triangle_head (-1);

	draw_staff (-2, 2, 0);
fet_endchar;


fet_beginchar ("Half trianglehead (upstem)", "u1triangle");
	draw_small_triangle_head (1);

	draw_staff (-2, 2, 0.5);
fet_endchar;


def draw_closed_triangle_head (expr dir) =
	save hei, xs;
	save llap;
	save tilt;

	tilt = 40;
	llap# = 2/3 noteheight#;
	xs = 1.0;
	caveness := 0.1;
	define_triangle_shape (dir);
	fill triangle_out;
enddef;


fet_beginchar ("Quarter trianglehead (upstem)", "u2triangle");
	draw_closed_triangle_head (1);

	draw_staff (-2, 2, 0);
fet_endchar;


fet_beginchar ("Quarter trianglehead (downstem)", "d2triangle");
	draw_closed_triangle_head (-1);

	draw_staff (-2, 2, 0.5);
fet_endchar;


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Slash heads are for indicating improvisation.  They are
% twice as high as normal heads.
%
def draw_slash (expr hwid_hash) =
	save exact_height;
	save ne, nw_dist;
	pair ne, nw_dist;
	exact_height = staff_space# + stafflinethickness# / 2;

	set_char_box (0, 2 exact_height / slash_slope + hwid_hash,
		      exact_height, exact_height);

	charwx := charwd;
	charwy := charht;

	clearxy;

	d := d - feta_shift;

	pickup pencircle scaled blot_diameter;

	bot y1 = -d;
	top y2 = h;
	lft x1 = 0;
	lft x2 = 2 h / slash_slope;

	rt x3 = w;
	y3 = y2;
	y4 = y1;
	x3 - x2 = x4 - x1;

	ne = unitvector (z3 - z4);
	nw_dist = (ne rotated 90) * 0.5 blot_diameter;

	fill bot z1{left}
	     .. (z1 + nw_dist){ne}
	     -- (z2 + nw_dist){ne}
	     .. top z2{right}
	     -- top z3{right}
	     .. (z3 - nw_dist){-ne}
	     -- (z4 - nw_dist){-ne}
	     .. bot z4{left}
	     -- cycle;

	if hwid_hash > 2 slash_thick#:
		save th;

		th = slash_thick - blot_diameter;
		y6 = y7;
		y5 = y8;
		y3 - y7 = th;
		y5 - y1 = th;
		z6 - z5 = whatever * ne;
		z8 - z7 = whatever * ne;

		z5 = z1 + whatever * ne + th * (ne rotated -90);
		z8 = z4 + whatever * ne + th * (ne rotated 90);

		unfill z5
		       -- z6
		       -- z7
		       -- z8
		       -- cycle;
	fi
	labels (range 1 thru 10);
enddef;


fet_beginchar ("Whole slashhead", "s0slash");
	draw_slash (4 slash_thick# + 0.5 staff_space#);

	draw_staff (-2, 2, 0);
fet_endchar;


fet_beginchar ("Half slashhead", "s1slash");
	draw_slash (3.0 slash_thick# + 0.15 staff_space#);

	draw_staff (-2, 2, 0);
fet_endchar;


fet_beginchar ("Quarter slashhead", "s2slash");
	draw_slash (1.5 slash_thick#);

	draw_staff (-2, 2, 0);
fet_endchar;


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% `thick' is the distance between the NE/SW parallel lines in the cross
% (distance between centres of lines) in multiples of stafflinethickness
%
def draw_cross (expr thick) =
	save ne, nw;
	save ne_dist, nw_dist, rt_dist, up_dist;
	save crz_in, crz_out;
	save thickness;
	pair ne, nw;
	pair ne_dist, nw_dist, rt_dist, up_dist;
	path crz_in, crz_out;

	pen_thick# := 1.2 stafflinethickness#;
	thickness# := thick * stafflinethickness#;
	define_pixels (thickness);
	define_blacker_pixels (pen_thick);

	pickup pencircle scaled pen_thick;

	h := h - feta_shift;

	top y3 = h;
	ne = unitvector ((1, (2 h - pen_thick) / (w - pen_thick)));
	rt x4 = w / 2;
	y5 = 0;
	z4 - z5 = whatever * ne;
	x6 = 0;
	z6 - z3 = whatever * ne;
	z3 - z4 = whatever * (ne yscaled -1);

	z4 - z3 = whatever * (ne) + (ne rotated -90) * thickness;


	x1 = charwd / 2 - .5 pen_thick#;
	z1 = whatever * ne
	     + thick / 2 * stafflinethickness# * (ne rotated -90);

	% labels (1, 2, 3, 4, 5, 6);

	nw = unitvector (z3 - z4);

	up_dist = up * 0.5 pen_thick / cosd (angle (ne));
	rt_dist = right * 0.5 pen_thick / sind (angle (ne));
	nw_dist = (ne rotated 90) * 0.5 pen_thick;
	ne_dist = (nw rotated -90) * 0.5 pen_thick;

	x4' := x4;
	x5' := x5;
	y6' := y6;

	x4 := hround (x4' + .5 pen_thick) - .5 pen_thick;
	x5 := hfloor (x5' + xpart rt_dist) - xpart rt_dist;
	y6 := vfloor (y6' + ypart up_dist) - ypart up_dist;

	crz_out = (z6 + up_dist)
		  -- (z3 + nw_dist){ne}
		  .. (top z3)
		  .. (z3 + ne_dist){-nw}
		  -- (z4 + ne_dist){-nw}
		  .. (rt z4)
		  .. (z4 - nw_dist){-ne}
		  -- (z5 + rt_dist);
	crz_out := crz_out shifted (0, feta_shift)
		   -- reverse crz_out yscaled -1 shifted (0, -feta_eps);
	fill crz_out
	     -- reverse crz_out xscaled -1 shifted (-feta_eps, 0)
	     -- cycle;

	if (thick > 1):
		x4 := hround (x4' - xpart rt_dist) + xpart rt_dist;
		x5 := hceiling (x5' - .5 pen_thick) + .5 pen_thick;
		y6 := vfloor (y6' - .5 pen_thick) + .5 pen_thick;

		crz_in = (bot z6){right}
			 .. (z6 - nw_dist){ne}
			 -- (z3 - up_dist)
			 -- (z4 - rt_dist)
			 -- (z5 + nw_dist){-ne}
			 .. {down}(lft z5);
		crz_in := crz_in shifted (0, feta_shift)
			  -- reverse crz_in yscaled -1 shifted (0, -feta_eps);
		unfill crz_in
		       -- reverse crz_in xscaled -1 shifted (-feta_eps, 0)
		       -- cycle;
	fi

	% ugh
	currentpicture := currentpicture shifted (hround (w / 2), 0);

	charwx := charwd;
	charwy := y1 + feta_shift;

	z12 = (charwx * hppp, y1 * vppp);

	labels (12);
enddef;


fet_beginchar ("Whole Crossed notehead", "s0cross");
	save wid, hei;

	wid# := black_notehead_width# + 4 stafflinethickness#;
	hei# := noteheight# + stafflinethickness#;

	set_char_box (0, wid#, hei# / 2, hei# / 2);

	draw_cross (3.75);

	remember_pic := currentpicture;

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Whole Crossed notehead", "s0cross");
		save wid, hei;

		wid# := black_notehead_width# + 4 stafflinethickness#;
		hei# := noteheight# + stafflinethickness#;

		set_char_box (0, wid#, hei# / 2, hei# / 2);

		currentpicture := remember_pic;

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


fet_beginchar ("Half Crossed notehead", "s1cross");
	save wid, hei;

	wid# := black_notehead_width# + 2 stafflinethickness#;
	hei# := noteheight# + stafflinethickness# / 2;

	set_char_box (0, wid#, hei# / 2, hei# / 2);

	draw_cross (3.0);

	remember_pic := currentpicture;

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Half Crossed notehead", "s1cross");
		save wid, hei;

		wid# := black_notehead_width# + 2 stafflinethickness#;
		hei# := noteheight# + stafflinethickness# / 2;

		set_char_box (0, wid#, hei# / 2, hei# / 2);

		currentpicture := remember_pic;

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


fet_beginchar ("Crossed notehead", "s2cross");
	wid# := black_notehead_width#;
	hei# := noteheight#;
	set_char_box (0, wid#, hei# / 2, hei# / 2);

	draw_cross (1.0);

	remember_pic := currentpicture;

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("Crossed notehead", "s2cross");
		wid# := black_notehead_width#;
		hei# := noteheight#;
		set_char_box (0, wid#, hei# / 2, hei# / 2);

		currentpicture := remember_pic;

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


fet_beginchar ("X-Circled notehead", "s2xcircle");
	save wid, hei;
	save cthick, cxd, cyd, dy;

	wid# := black_notehead_width# * sqrt (sqrt2);
	hei# := noteheight# * sqrt (sqrt2);

	set_char_box (0, wid#, hei# / 2, hei# / 2);

	d := d - feta_space_shift;

	cthick# := (1.2 + 1/4) * stafflinethickness#;
	define_blacker_pixels (cthick);

	cxd := w - cthick;
	cyd := h + d - cthick / 2;

	dy = .5 (h - d);

	pickup pencircle scaled cthick;

	fill fullcircle xscaled (cxd + cthick)
			yscaled (cyd + cthick)
			shifted (w / 2, dy);
	unfill fullcircle xscaled (cxd - cthick)
			  yscaled (cyd - cthick)
			  shifted (w / 2, dy);

	xpos := .5 cxd / sqrt2;
	ypos := .5 cyd / sqrt2;

	pickup penrazor scaled cthick rotated (angle (xpos, ypos) + 90);
	draw (-xpos + w / 2, -ypos + dy)
	     -- (xpos + w / 2, ypos + dy);

	pickup penrazor scaled cthick rotated (angle (xpos, -ypos) + 90);
	draw (-xpos + w / 2, ypos + dy)
	     -- (xpos + w / 2, -ypos + dy);

	charwx := charwd;
	charwy := 0;

	z12 = (charwx * hppp, charwy * vppp);
	labels (12);

	remember_pic := currentpicture;

	draw_staff (-2, 2, 0);
fet_endchar;


if test > 0:
	fet_beginchar ("X-Circled notehead", "s2xcircle");
		save wid, hei;
		save cthick, cxr, cyr;

		wid# := black_notehead_width# * sqrt (sqrt2);
		hei# := noteheight# * sqrt (sqrt2);

		set_char_box (0, wid#, hei# / 2, hei# / 2);

		currentpicture := remember_pic;

		draw_staff (-2, 2, 0.5);
	fet_endchar;
fi;


%%%%%%%%
%
% SOLFA SHAPED NOTES
%
%
% Note: For whole and half notes, the `fill' curve (p_out) is offset from
%       the points that specify the outer geometry, because we need to add
%       the rounding.  In contrast, the inner curve is not offset, because
%       there is no rounding.
%
%       This means that to get a line of thick_factor * pen_thickness,
%       we need to offset the inner curve by
%
%         (thick_factor - 0.5) * pen_thickness
%
%       or by
%
%         (2 * thick_factor - 1) * half_pen_thickness
%
save solfa_pen_thick;
solfa_pen_thick# = 1.3 stafflinethickness#;
define_blacker_pixels (solfa_pen_thick);

save solfa_pen_radius;
solfa_pen_radius = 0.5 solfa_pen_thick;

save solfa_base_notewidth;
solfa_base_notewidth# := black_notehead_width#;

solfa_whole_width := 1.0;
solfa_half_width := 1.0;
solfa_quarter_width := 1.0;


%%% Do head
%
% Triangle with base parallel to staff lines.
%

def draw_do_head (expr width_factor, dir, thickness_factor) =
	save p_in, p_out;
	save left_dist, right_dist, bottom_dist;
	path p_in, p_out;
	pair left_dist, right_dist, bottom_dist;

	set_char_box (0, width_factor * solfa_base_notewidth#,
		      0.5 solfa_noteheight#, 0.5 solfa_noteheight#);

	bottom_thick_factor := 2 * thickness_factor - 1;
	% no different thickness for left side if we want uniform thickness
	if thickness_factor = 1:
		left_thick_factor := 1;
	else:
		left_thick_factor := 0.7 * bottom_thick_factor;
	fi

	save pen_radius;
        pen_radius := min (solfa_pen_radius,
			   (h + d) / (3 * (1 + bottom_thick_factor)));

	pickup pencircle scaled (2 * pen_radius);

	bot y1 = -d;
	y1 = y2;
	lft x1 = 0;
	rt x2 = w;
	top y3 = h;
	x3 = .5 [x1, x2];

	left_dist = (unitvector (z3 - z1) rotated 90) * pen_radius;
	right_dist = (unitvector (z2 - z3) rotated 90) * pen_radius;
	bottom_dist = (0,1) * pen_radius;

	save pa, pb, pc;
	path pa, pb, pc;
	save point_a, point_b, point_c;
	pair point_a, point_b, point_c;

	pa := (z1 - left_thick_factor * left_dist)
	      -- (z3 - left_thick_factor * left_dist);
	pb := (z1 + bottom_thick_factor * bottom_dist)
	      -- (z2 + bottom_thick_factor * bottom_dist);
	pc := (z2 - right_dist)
	      -- (z3 - right_dist);

	point_a := pa intersectionpoint pb;
	point_b := pb intersectionpoint pc;
	point_c := pc intersectionpoint pa;

	p_in := point_a
		-- point_b
		-- point_c
		-- cycle;

	p_out := bot z1
		 -- bot z2{right}
		 .. rt z2{up}
		 .. (z2 + right_dist){z3 - z2}
		 -- (z3 + right_dist){z3 - z2}
		 .. top z3{left}
		 .. (z3 + left_dist){z1 - z3}
		 -- (z1 + left_dist){z1 - z3}
		 .. lft z1{down}
		 .. {right}cycle;

	labels (1, 2, 3);

	charwx := charwd;
	charwy := -chardp + 0.5 stafflinethickness#;
	if dir = -1:
		charwy := -charwy;
	fi;
enddef;

save do_weight;
do_weight := 2;


fet_beginchar ("Whole dohead", "s0do");
	draw_do_head (solfa_whole_width, 1, do_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half dohead", "d1do");
	draw_do_head (solfa_half_width, -1, do_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half dohead", "u1do");
	draw_do_head (solfa_half_width, 1, do_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Quarter dohead", "d2do");
	draw_do_head (solfa_quarter_width, -1, do_weight);
	fill p_out;
fet_endchar;


fet_beginchar ("Quarter dohead", "u2do");
	draw_do_head (solfa_quarter_width, 1, do_weight);
	fill p_out;
fet_endchar;


fet_beginchar ("Whole thin dohead", "s0doThin");
	draw_do_head (solfa_whole_width, 1, 1);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half thin dohead", "d1doThin");
	draw_do_head (solfa_half_width, -1, 1);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half thin dohead", "u1doThin");
	draw_do_head (solfa_half_width, 1, 1);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Quarter thin dohead", "d2doThin");
	draw_do_head (solfa_quarter_width, -1, 1);
	fill p_out;
fet_endchar;


fet_beginchar ("Quarter thin dohead", "u2doThin");
	draw_do_head (solfa_quarter_width, 1, 1);
	fill p_out;
fet_endchar;


%
% re - flat top, curved bottom:
%
%   (0,h/2) {dir -90}
%   .. (w/2,-h/2)
%   .. {dir 90} (w,h/2)
%   -- cycle;
%
% (broader along the base and with more vertical sides for half and
% whole notes)
%
% Note: According to some shape-note singers, there should be no size
%       differences for half and whole notes, contrary to the comment above.
%       Consequently, we have made them all the same width.
%
% stem attachment: h/2
%
def draw_re_head (expr width_factor, dir, thickness_factor) =
	save p_in, p_out;
	path p_in, p_out;

	set_char_box (0, width_factor * solfa_base_notewidth#,
		      0.5 solfa_noteheight#, 0.5 solfa_noteheight#);

	save offset;
	offset = (2 * thickness_factor - 1);

	save curve_start;
	curve_start = 0.7;

	save pen_radius;

	pen_radius := min (solfa_pen_radius,
			   (h + d) * (1-curve_start) / (1+ offset));

	pickup pencircle scaled (2 * pen_radius);

	lft x1 = 0;
	top y1 = h;
	x2 = x1;
	y2 = curve_start [y3, y1];
	bot y3 = -d;
	x3 = .5 [x2, x4];
	rt x4 = w;
	y4 = y2;
	y5 = y1;
	x5 = x4;

	labels (range 1 thru 5);

	p_in := (z1 + pen_radius * (1, -1 * offset))
		-- rt z2{down}
		.. ((top z3) + (0, offset * pen_radius))
		.. lft z4{up}
		-- (z5 + pen_radius * (-1, -1 * offset))
		-- cycle;

	p_out := lft z1
		 -- lft z2{down}
		 .. bot z3
		 .. rt z4{up}
		 -- rt z5{up}
		 .. top z5{left}
		 -- top z1{left}
		 .. {down}cycle;

	charwx := charwd;
	charwy := curve_start [-chardp, charht];

	if dir = -1:
		charwy := -charwy;
	fi;
enddef;


save re_weight;
re_weight := 2;

fet_beginchar ("Whole rehead", "s0re");
	draw_re_head (solfa_whole_width, 1, re_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half up rehead", "u1re");
	draw_re_head (solfa_half_width, 1, re_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half down rehead", "d1re");
	draw_re_head (solfa_half_width, -1, re_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Quarter up rehead", "u2re");
	draw_re_head (solfa_quarter_width, 1, re_weight);
	fill p_out;
fet_endchar;


fet_beginchar ("Quarter down rehead", "d2re");
	draw_re_head (solfa_quarter_width, -1, re_weight);
	fill p_out;
fet_endchar;


fet_beginchar ("Whole thin rehead", "s0reThin");
	draw_re_head (solfa_whole_width, 1, 1);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half up thin rehead", "u1reThin");
	draw_re_head (solfa_half_width, 1, 1);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half down thin rehead", "d1reThin");
	draw_re_head (solfa_half_width, -1, 1);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Quarter thin rehead", "u2reThin");
	draw_re_head (solfa_quarter_width, 1, 1);
	fill p_out;
fet_endchar;


fet_beginchar ("Quarter thin rehead", "d2reThin");
	draw_re_head (solfa_quarter_width, -1, 1);
	fill p_out;
fet_endchar;


%%%% mi head -- diamond shape
%
% two versions, depending on whether the `strong' lines are on the nw & se
% or the ne & sw
%
def draw_mi_head (expr width_factor, thickness_factor, mirror) =
	save path_out, path_in;
	save ne_dist, se_dist, ne, se;
	save path_a, path_b, path_c, path_d;
	path path_out, path_in;
	pair ne_dist, se_dist, ne, se;
	path path_a, path_b, path_c, path_d;
	save inner_path;
	path inner_path;

	set_char_box (0, width_factor * solfa_base_notewidth#,
		      0.5 solfa_noteheight#, 0.5 solfa_noteheight#);

	save offset;
	offset := 2 * thickness_factor - 1;

	save note_diagonal;

	note_diagonal := w / 2 ++ (h + d) / 2;

	save pen_radius;

	pen_radius := min (solfa_pen_radius,
	                   .3 * note_diagonal / (1 + offset));

	pickup pencircle scaled (2 * pen_radius);

	lft x1 = 0;
	y1 = 0;
	bot y2 = -d;
	x2 = .5 [x1, x3];
	rt x3 = w;
	x4 = x2;
	y3 = y1;
	top y4 = h;

	% inner sides are parallel to outer sides
	z6 - z5 = whatever * (z2 - z1);
	z8 - z7 = whatever * (z4 - z3);
	z8 - z5 = whatever * (z4 - z1);
	z7 - z6 = whatever * (z3 - z2);

	ne = unitvector (z4 - z1);
	se = unitvector (z2 - z1);

	ne_dist = (ne rotated 90) * pen_radius;
	se_dist = (se rotated 90) * pen_radius;

	path_a := (z1 + se_dist)
		  -- (z2 + se_dist);
	path_b := (z2 + (ne_dist * offset))
		  -- (z3 + (ne_dist * offset));
	path_c := (z3 - se_dist)
		  -- (z4 - se_dist);
	path_d := (z4 - (ne_dist * offset))
		  -- (z1 - (ne_dist * offset));

	z5 = path_a intersectionpoint path_d;
	z7 = path_b intersectionpoint path_c;

	labels (range 1 thru 8);

	inner_path := z5
		      -- z6
		      -- z7
		      -- z8
		      -- cycle;

	if mirror:
		path_in := inner_path;
	else:
		path_in := inner_path reflectedabout (z2, z4);
	fi

	path_out := lft z1 {down}
		    .. (z1 - se_dist){se}
		    -- (z2 - se_dist){se}
		    .. bot z2 {right}
		    .. (z2 - ne_dist){ne}
		    -- (z3 - ne_dist){ne}
		    .. rt z3 {up}
		    .. (z3 + se_dist){-se}
		    -- (z4 + se_dist){-se}
		    .. top z4 {left}
		    .. (z4 + ne_dist){-ne}
		    -- (z1 + ne_dist){-ne}
		    .. cycle;
enddef;


save mi_weight, mi_width;
mi_weight := 2;
mi_width := 1.2;

fet_beginchar ("Whole mihead", "s0mi");
	draw_mi_head (mi_width * solfa_whole_width, mi_weight, false);
	fill path_out;
	unfill path_in;
fet_endchar;


fet_beginchar ("Half mihead", "s1mi");
	draw_mi_head (mi_width * solfa_quarter_width, mi_weight, false);
	fill path_out;
	unfill path_in;
fet_endchar;


fet_beginchar ("Quarter mihead", "s2mi");
	draw_mi_head (mi_width * solfa_quarter_width, mi_weight, false);
	fill path_out;
fet_endchar;


fet_beginchar ("Whole mirror mihead", "s0miMirror");
	draw_mi_head (mi_width * solfa_whole_width, mi_weight, true);
	fill path_out;
	unfill path_in;
fet_endchar;


fet_beginchar ("Half  mirror mihead", "s1miMirror");
	draw_mi_head (mi_width * solfa_quarter_width, mi_weight, true);
	fill path_out;
	unfill path_in;
fet_endchar;


fet_beginchar ("Quarter mirror mihead", "s2miMirror");
	draw_mi_head (mi_width * solfa_quarter_width, mi_weight, true);
	fill path_out;
fet_endchar;


fet_beginchar ("Whole thin mihead", "s0miThin");
	draw_mi_head (mi_width * solfa_whole_width, 1, false);
	fill path_out;
	unfill path_in;
fet_endchar;


fet_beginchar ("Half thin mihead", "s1miThin");
	draw_mi_head (mi_width * solfa_quarter_width, 1, false);
	fill path_out;
	unfill path_in;
fet_endchar;


fet_beginchar ("Quarter thin mihead", "s2miThin");
	draw_mi_head (mi_width * solfa_quarter_width, 1, false);
	fill path_out;
fet_endchar;


%%%% fa head
%
% Right triangle, hypotenuse from nw to se corner.  Stem attaches on
% vertical side in direction of horizontal side.
%
def draw_fa_head (expr width_factor, thickness_factor) =
	set_char_box (0, width_factor * solfa_base_notewidth#,
		      0.5 solfa_noteheight#, 0.5 solfa_noteheight#);

	save p_down_in, p_down_out, p_up_in, p_up_out, nw_dist, nw;
	path p_down_in, p_down_out, p_up_in, p_up_out;
	save path_a, path_b, path_c;
	path path_a, path_b, path_c;
	pair nw_dist, nw;

	save offset;
	offset := 2 * thickness_factor - 1;

	save pen_radius;
	pen_radius := min (solfa_pen_radius,
			   .33 * (h + d) / (1 + offset));

	pickup pencircle scaled (2 * pen_radius);

	lft x1 = 0;
	top y1 = h;

	rt x2 = w;
	y2 = y1;
	bot y3 = -d;
	x3 = x2;

	y4 = y3;
	x4 = x1;

	labels (1, 2, 3, 4);

	nw = unitvector (z1 - z3);
	nw_dist = (nw rotated 90) * pen_radius;

	path_a := (z1 - (0,1) * offset * pen_radius)
		  -- (z2 - (0,1) * offset * pen_radius);
	path_b := (z2 - (1,0) * pen_radius)
		  -- (z3 - (1,0) * pen_radius);
	path_c := (z3 - nw_dist)
		  -- (z1 - nw_dist);

	p_up_in := (path_a intersectionpoint path_b)
		   -- (path_b intersectionpoint path_c)
		   -- (path_c intersectionpoint path_a)
		   -- cycle;

	p_up_out := lft z1{down}
		    .. (z1 + nw_dist){-nw}
		    -- (z3 + nw_dist){-nw}
		    .. bot z3{right}
		    .. rt z3{up}
		    -- rt z2{up}
		    .. top z2{left}
		    -- top z1{left}
		    .. cycle;

	p_down_in := p_up_in rotated 180 shifted (w, 0);
	p_down_out := p_up_out rotated 180 shifted (w, 0);

	charwy := 0.0;
	charwx := charwd;
enddef;

save fa_weight;
fa_weight := 1.75;

fet_beginchar ("Whole fa up head", "u0fa");
	draw_fa_head (solfa_whole_width, fa_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Whole fa down head", "d0fa");
	draw_fa_head (solfa_whole_width, fa_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("half fa up head", "u1fa");
	draw_fa_head (solfa_half_width, fa_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Half fa down head", "d1fa");
	draw_fa_head (solfa_half_width, fa_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Quarter fa up head", "u2fa");
	draw_fa_head (solfa_quarter_width, fa_weight);
	fill p_up_out;
fet_endchar;


fet_beginchar ("Quarter fa down head", "d2fa");
	draw_fa_head (solfa_quarter_width, fa_weight);
	fill p_down_out;
fet_endchar;


fet_beginchar ("Whole thin fa up head", "u0faThin");
	draw_fa_head (solfa_whole_width, 1);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Whole thin fa down head", "d0faThin");
	draw_fa_head (solfa_whole_width, 1);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("half thin fa up head", "u1faThin");
	draw_fa_head (solfa_half_width, 1);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Half thin fa down head", "d1faThin");
	draw_fa_head (solfa_half_width, 1);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Quarter thin fa up head", "u2faThin");
	draw_fa_head (solfa_quarter_width, 1);
	fill p_up_out;
fet_endchar;


fet_beginchar ("Quarter thin fa down head", "d2faThin");
	draw_fa_head (solfa_quarter_width, 1);
	fill p_down_out;
fet_endchar;



%%%% sol head
%
% Note: sol head is the same shape as a standard music head, and doesn't
%       vary from style to style.  However, width is constant with duration,
%       so we can't just use the standard note font.
%
def draw_sol_head (expr filled) =
	draw_outside_ellipse (1.53 - puff_up_factor / 3.0, 34, 0.66, 0.17);
	if not filled:
	  undraw_inside_ellipse (3.25, 33, 0.81, 2.5 stafflinethickness#);
	fi
	draw_staff (-2, 2, 0);
enddef;

fet_beginchar ("Whole solhead", "s0sol");
	draw_sol_head ( false);
fet_endchar;


fet_beginchar ("Half solhead", "s1sol");
	draw_sol_head ( false);
fet_endchar;


fet_beginchar ("Quarter solhead", "s2sol");
	draw_sol_head ( true);
fet_endchar;


%%%% la head
%
%   Rectangle head
%
def draw_la_head (expr width_factor, thickness_factor) =
	set_char_box (0, width_factor * solfa_base_notewidth#,
		      0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
	save p_in, p_out;
	path p_in, p_out;

	save offset;
	offset := 2 * thickness_factor - 1;

	save pen_radius;
	pen_radius := min (solfa_pen_radius,
			   .35 * (h + d) / (1 + offset));

	pickup pencircle scaled (2 * pen_radius);

	lft x1 = 0;
	top y1 = h;

	rt x2 = w;
	y2 = y1;
	bot y3 = -d;
	x3 = x2;

	y4 = y3;
	x4 = x1;

	labels (range 1 thru 4);

	p_in := (z1 + pen_radius * (1, -offset))
		-- (z2 + pen_radius * (-1, -offset))
		-- (z3 + pen_radius * (-1, offset))
		-- (z4 + pen_radius * (1, offset))
		-- cycle;

	p_out := top z1
		 -- top z2{right}
		 .. rt z2{down}
		 -- rt z3{down}
		 .. bot z3{left}
		 -- bot z4{left}
		 .. lft z4{up}
		 -- lft z1{up}
		 .. cycle;
enddef;


save la_weight;
la_weight := 2;

fet_beginchar ("Whole lahead", "s0la");
	draw_la_head (solfa_whole_width, la_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half lahead", "s1la");
	draw_la_head (solfa_half_width, la_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Quarter lahead", "s2la");
	draw_la_head (solfa_quarter_width, la_weight);
	fill p_out;
fet_endchar;


fet_beginchar ("Whole thin lahead", "s0laThin");
	draw_la_head (solfa_whole_width, 1);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half thin lahead", "s1laThin");
	draw_la_head (solfa_half_width, 1);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Quarter lahead", "s2laThin");
	draw_la_head (solfa_quarter_width, 1);
	fill p_out;
fet_endchar;


%%%% ti head
%
%   `Snow-cone', V with rounded top.
%
def draw_ti_head (expr width_factor, dir, thickness_factor) =
	set_char_box (0, width_factor * solfa_base_notewidth#,
		      0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
	save p_in, p_out, p_top, p_top_in;
	path p_in, p_out, p_top, p_top_in;
	save cone_height;
	cone_height = 0.64;

	save offset;
	offset := 2 * thickness_factor - 1;

	save pen_radius;
	pen_radius := min (solfa_pen_radius,
			   .4 * (h + d) / (1 + offset));

	pickup pencircle scaled (2 * pen_radius);

	x1 = .5 [x2, x4];
	bot y1 = -d;
	lft x2 = 0;
	y2 = cone_height [y1, y3];
	rt x4 = w;
	y4 = y2;
	x3 = x1;
	top y3 = h;
	x5 = x1;
	y5 = y1 + offset * pen_radius;

	labels (range 1 thru 4);

	save nw_dist, sw_dist, nw, sw;
	pair nw_dist, sw_dist, nw, sw;

	nw = unitvector (z2 - z1);
	sw = unitvector (z1 - z4);

	nw_dist = (nw rotated 90) * pen_radius;
	sw_dist = (sw rotated 90) * pen_radius;

	p_top := (z2 + nw * pen_radius)
		 .. (top z3){right}
		 .. (z4 - sw * pen_radius);

	p_top_in := (z2 - nw * offset * pen_radius)
		    .. (z3 - (0,1) * pen_radius) {right}
		    .. (z4 + sw * offset * pen_radius);

	save path_a, path_b;
	path path_a, path_b;
	path_a := z2
		  -- z5;
	path_b := z5
		  -- z4;

	z6 = path_a intersectionpoint p_top_in;
	z7 = path_b intersectionpoint p_top_in;

	p_in := z5
		-- z6
		.. bot z3
		.. z7
		-- cycle;

	p_out := bot z1
		 .. (z1 + nw_dist)
		 -- (z2 + nw_dist)
		 .. lft z2
		 .. (z2 + nw * pen_radius){direction 0 of p_top}
		 & p_top
		 & {direction infinity of p_top}(z4 - sw * pen_radius)
		 .. rt z4
		 .. (z4 + sw_dist)
		 -- (z1 + sw_dist)
		 .. cycle;

	charwx := charwd;
	charwy := cone_height [-chardp, charht];
	if dir = -1:
		charwy := -charwy;
	fi;
enddef;


save ti_weight;
ti_weight := 2;

fet_beginchar ("Whole up tihead", "s0ti");
	draw_ti_head (solfa_whole_width, 1, ti_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half up tihead", "u1ti");
	draw_ti_head (solfa_half_width, 1, ti_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half down tihead", "d1ti");
	draw_ti_head (solfa_half_width, -1, ti_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Quarter up tihead", "u2ti");
	draw_ti_head (solfa_quarter_width, 1, ti_weight);
	fill p_out;
fet_endchar;


fet_beginchar ("Quarter down tihead", "d2ti");
	draw_ti_head (solfa_quarter_width, -1, ti_weight);
	fill p_out;
fet_endchar;


fet_beginchar ("Whole thin up tihead", "s0tiThin");
	draw_ti_head (solfa_whole_width, 1, 1);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half thin up tihead", "u1tiThin");
	draw_ti_head (solfa_half_width, 1, 1);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half thin down tihead", "d1tiThin");
	draw_ti_head (solfa_half_width, -1, 1);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Quarter thin up tihead", "u2tiThin");
	draw_ti_head (solfa_quarter_width, 1, 1);
	fill p_out;
fet_endchar;


fet_beginchar ("Quarter thin down tihead", "d2tiThin");
	draw_ti_head (solfa_quarter_width, -1, 1);
	fill p_out;
fet_endchar;


%%%%%%   Funk shape note heads
%
%  Funk heads are narrower than Aiken and Sacred Harp, so we need a new
%  width.
%
funk_notehead_width := 0.75;


%%%%%%   Funk do head
%          Parabolic on one side, vertical line on other
%          Has up and down shapes for *all* notes
%
def draw_Funk_do_head (expr width_factor, thickness_factor) =
	set_char_box (0, width_factor * solfa_base_notewidth#,
		      0.5 solfa_noteheight#, 0.5 solfa_noteheight#);

	save offset;
	offset := 2 * thickness_factor - 1;

	save pen_radius;
	pen_radius := min (solfa_pen_radius,
			   .3 * (h + d) / (1 + offset));

	pickup pencircle scaled (2 * pen_radius);

	rt x1 = w;
	bot y1 = -d;

	lft x2 = 0;
	y2 = 0.5 [y1, y3];

	x3 = x1;
	top y3 = h;

	x4 = x1 - pen_radius;
	y4 = y1 + offset * pen_radius;

	y5 = y2;
	x5 = x2 + pen_radius;

	x6 = x4;
	y6 = y3 - offset * pen_radius;

	save p_up_in, p_up_out, p_down_in, p_down_out;
	path p_up_in, p_up_out, p_down_in, p_down_out;

	p_down_in := z4{left}
		     ... z5{up}
		     ... z6{right}
		     -- cycle;

	p_down_out := bot z1{left}
		      .. lft z2{up}
		      .. top z3{right}
		      .. rt z3{down}
		      -- rt z1{down}
		      .. cycle;

	p_up_in := p_down_in rotated 180 shifted (w,0);
	p_up_out := p_down_out rotated 180 shifted (w,0);

enddef;


save funk_do_weight;
funk_do_weight := 1.7;

fet_beginchar ("Whole up Funk dohead", "u0doFunk");
	draw_Funk_do_head (funk_notehead_width, funk_do_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Whole down Funk dohead", "d0doFunk");
	draw_Funk_do_head (funk_notehead_width, funk_do_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Half up Funk dohead", "u1doFunk");
	draw_Funk_do_head (funk_notehead_width, funk_do_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Half down Funk dohead", "d1doFunk");
	draw_Funk_do_head (funk_notehead_width, funk_do_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Quarter up Funk dohead", "u2doFunk");
	draw_Funk_do_head (funk_notehead_width, funk_do_weight);
	fill p_up_out;
fet_endchar;


fet_beginchar ("Quarter down Funk dohead", "d2doFunk");
	draw_Funk_do_head (funk_notehead_width, funk_do_weight);
	fill p_down_out;
fet_endchar;


%%%%%%  Funk re head
%       Arrowhead shape.
%       Has up and down shapes for *all* notes
%
def draw_Funk_re_head (expr width_factor, thickness_factor) =
	set_char_box (0, width_factor * solfa_base_notewidth#,
		      0.5 solfa_noteheight#, 0.5 solfa_noteheight#);

	save offset;
	offset := 2 * thickness_factor - 1;

	save pen_radius;
	pen_radius := min (solfa_pen_radius,
			   .3 * (h + d) / (1 + offset));

	pickup pencircle scaled (2 * pen_radius);

	save curve_in;
	curve_in := 0.9;

	lft x1 = 0;
	y1 := 0.5 [y2, y4];

	rt x2 = w;
	top y2 = h;

	x3 := curve_in [x1, x2];
	y3 := y1;

	x4 = x2;
	bot y4 = -d;

	z6 = lft z3;

	save ne, se, ne_perp, se_perp;
	pair ne, se, ne_perp, se_perp;

	ne := unitvector (z2 - z1);
	se := unitvector (z4 - z1);
	ne_perp := ne rotated 90;
	se_perp := se rotated 90;

	save path_a, path_b, path_c, path_d;
	path path_a, path_b, path_c, path_d;
	save arrow_a_perp, arrow_b_perp;
	pair arrow_a_perp, arrow_b_perp;


	path_d := z2 .. z3{down} .. z4;
	arrow_a_perp = unitvector (direction 0 of path_d rotated 90)
		       * pen_radius;
	arrow_b_perp = unitvector (direction 2 of path_d rotated 90)
		       * pen_radius;

	path_b := (z1 + se_perp * pen_radius)
		  -- z4 + se_perp * offset * pen_radius;
	path_a := (z1 - ne_perp * pen_radius)
		  -- z2 - ne_perp * offset * pen_radius;
	path_c := z2 - arrow_a_perp
		  .. z6{down}
		  .. z4 - arrow_b_perp;

	z5 = path_a intersectionpoint path_b;
	z7 = path_a intersectionpoint path_c;
	z8 = path_b intersectionpoint path_c;

	save p_up_in, p_down_in, p_up_out, p_down_out;
	path p_up_in, p_down_in, p_up_out, p_down_out;

	p_down_in := z5
		     -- z7
		     .. z6{down}
		     .. z8
		     -- cycle;

	p_down_out := lft z1{up}
		      .. (z1 + ne_perp * pen_radius){ne}
		      -- (z2 + ne_perp * pen_radius){ne}
		      .. top z2 {right}
		      .. rt z2{down}
		      .. (z2 + arrow_a_perp)
		      .. rt z3{down}
		      .. (z4 + arrow_b_perp)
		      .. rt z4{down}
		      .. bot z4 {left}
		      .. z4 - se_perp * pen_radius
		      -- z1 - se_perp * pen_radius
		      .. cycle;

	p_up_in := p_down_in rotated 180 shifted (w, 0);
	p_up_out := p_down_out rotated 180 shifted (w, 0);

enddef;


save funk_re_weight;
funk_re_weight = 1.7;

fet_beginchar ("Whole up Funk rehead", "u0reFunk");
	draw_Funk_re_head (funk_notehead_width, funk_re_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Whole down Funk rehead", "d0reFunk");
	draw_Funk_re_head (funk_notehead_width, funk_re_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Half up Funk rehead", "u1reFunk");
	draw_Funk_re_head (funk_notehead_width, funk_re_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Half down Funk rehead", "d1reFunk");
	draw_Funk_re_head (funk_notehead_width, funk_re_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Quarter up Funk rehead", "u2reFunk");
	draw_Funk_re_head (funk_notehead_width, funk_re_weight);
	fill p_up_out;
fet_endchar;


fet_beginchar ("Quarter down Funk rehead", "d2reFunk");
	draw_Funk_re_head (funk_notehead_width, funk_re_weight);
	fill p_down_out;
fet_endchar;


%%%%%%  Funk mi head
%       Diamond shape
%       Has up and down shapes for all hollow notes
%
save funk_mi_width, funk_mi_weight;
funk_mi_width := 1.2;
funk_mi_weight := 1.9;

fet_beginchar ("Whole up Funk mihead", "u0miFunk");
	draw_mi_head (funk_mi_width * funk_notehead_width,
		      funk_mi_weight, false);
	fill path_out;
	unfill path_in;
fet_endchar;


fet_beginchar ("Whole down Funk mihead", "d0miFunk");
	draw_mi_head (funk_mi_width * funk_notehead_width,
		      funk_mi_weight, true);
	fill path_out;
	unfill path_in;
fet_endchar;


fet_beginchar ("Half up Funk mihead", "u1miFunk");
	draw_mi_head (funk_mi_width * funk_notehead_width,
		      funk_mi_weight, false);
	fill path_out;
	unfill path_in;
fet_endchar;


fet_beginchar ("Half down Funk mihead", "d1miFunk");
	draw_mi_head (funk_mi_width * funk_notehead_width,
		      funk_mi_weight, true);
	fill path_out;
	unfill path_in;
fet_endchar;


fet_beginchar ("Quarter Funk mihead", "s2miFunk");
	draw_mi_head (funk_mi_width * funk_notehead_width,
		      funk_mi_weight, false);
	fill path_out;
fet_endchar;


%%%%%%  Funk fa
%       Triangle shape
%       Does it rotate for whole notes?
%       Same as other shape note systems
%       Need special notes because of special width
%
save funk_fa_weight;
funk_fa_weight := 1.9;

fet_beginchar ("Whole up Funk fahead", "u0faFunk");
	draw_fa_head (funk_notehead_width, funk_fa_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Whole down Funk fahead", "d0faFunk");
	draw_fa_head (funk_notehead_width, funk_fa_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Half up Funk fahead", "u1faFunk");
	draw_fa_head (funk_notehead_width, funk_fa_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Half down Funk fahead", "d1faFunk");
	draw_fa_head (funk_notehead_width, funk_fa_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Quarter up Funk fahead", "u2faFunk");
	draw_fa_head (funk_notehead_width, funk_fa_weight);
	fill p_up_out;
fet_endchar;


fet_beginchar ("Quarter down Funk fahead", "d2faFunk");
	draw_fa_head (funk_notehead_width, funk_fa_weight);
	fill p_down_out;
fet_endchar;


%%%%%%  Funk sol head is the same as the others
%       Need special character because of skinnier head
%
def draw_Funk_sol_head (expr filled) =
begingroup
	save noteheight;
	noteheight# := solfa_noteheight#;
	draw_outside_ellipse (1.2, 34, 0.71, 0.);
	if not filled:
	  undraw_inside_ellipse (1.9, 33, 0.74, 5.5 stafflinethickness#);
	fi
	draw_staff (-2, 2, 0);
endgroup
enddef;


fet_beginchar ("Whole Funk solhead", "s0solFunk");
	draw_Funk_sol_head ( false);
fet_endchar;


fet_beginchar ("Half Funk solhead", "s1solFunk");
	draw_Funk_sol_head ( false);
fet_endchar;


fet_beginchar ("Quarter Funk solhead", "s2solFunk");
	draw_Funk_sol_head ( true);
fet_endchar;


%%%%%%  Funk la head
%       Rectangle head
%       Same as for other shape notes
%       Smaller width requires special characters
%
save funk_la_weight;
funk_la_weight := 1.9;

fet_beginchar ("Whole Funk lahead", "s0laFunk");
	draw_la_head (funk_notehead_width, funk_notehead_width);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half Funk lahead", "s1laFunk");
	draw_la_head (funk_notehead_width, funk_notehead_width);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Quarter Funk lahead", "s2laFunk");
	draw_la_head (funk_notehead_width, funk_notehead_width);
	fill p_out;
fet_endchar;


%%%%%%  Funk ti head
%       `Sideways snow cone'.
%       Rotates for all notes.
%
def draw_Funk_ti_head (expr width_factor, thickness_factor) =
	set_char_box (0, width_factor * solfa_base_notewidth#,
		      0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
	save cone_width;
	cone_width = 0.8;

	save offset;
	offset := 2 * thickness_factor - 1;

	save pen_radius;
	pen_radius := min (solfa_pen_radius,
			   .33 * (h + d) / (1 + offset));

	pickup pencircle scaled (2 * pen_radius);

	lft x1 = 0;
	y1 = .5 [y2, y4];

	x2 = cone_width [x1, x3];
	top y2 = h;

	rt x3 = w;
	y3 = y1;

	x4 = x2;
	bot y4 = -d;

	save nw_dist, sw_dist, ne, se;
	pair nw_dist, sw_dist, ne, se;

	ne = unitvector (z2 - z1);
	se = unitvector (z4 - z1);

	nw_dist = (ne rotated 90) * pen_radius ;
	sw_dist = (se rotated -90) * pen_radius;

	save path_a, path_b;
	path path_a, path_b;
	path_a := z1 - nw_dist
		  -- z2 - offset * nw_dist;
	path_b := z1 - sw_dist
		  -- z4 - offset * sw_dist;

	save path_right, path_right_in;
	path path_right, path_right_in;
	path_right := (z2 + ne * pen_radius)
		      .. (rt z3){down}
		      .. (z4 + se * pen_radius);

	path_right_in := (z2 - ne * pen_radius)
			 .. lft z3{down}
			 .. (z4 - se * pen_radius);

	z5 = path_a intersectionpoint path_b;
	z6 = path_a intersectionpoint path_right_in;
	z7 = path_b intersectionpoint path_right_in;

	save p_up_in, p_down_in, p_up_out, p_down_out;
	path p_up_in, p_down_in, p_up_out, p_down_out;

	p_down_in := z5
		     -- z6
		     .. lft z3
		     .. z7
		     -- cycle;

	p_down_out := lft z1
		      .. (z1 + nw_dist)
		      -- (z2 + nw_dist)
		      .. top z2
		      .. (z2 + ne * pen_radius){direction 0 of path_right}
		      & path_right
		      & {direction infinity of path_right}(z4 + se * pen_radius)
		      .. bot z4
		      .. (z4 + sw_dist)
		      -- (z1 + sw_dist)
		      .. cycle;

	p_up_in := p_down_in rotated 180 shifted (w, 0);
	p_up_out := p_down_out rotated 180 shifted (w, 0);
enddef;


save funk_ti_weight;
funk_ti_weight := 1.6;

fet_beginchar ("Whole up Funk tihead", "u0tiFunk");
	draw_Funk_ti_head (funk_notehead_width, funk_ti_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Whole down Funk tihead", "d0tiFunk");
	draw_Funk_ti_head (funk_notehead_width, funk_ti_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Half up Funk tihead", "u1tiFunk");
	draw_Funk_ti_head (funk_notehead_width, funk_ti_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Half down Funk tihead", "d1tiFunk");
	draw_Funk_ti_head (funk_notehead_width, funk_ti_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Quarter up Funk tihead", "u2tiFunk");
	draw_Funk_ti_head (funk_notehead_width, funk_ti_weight);
	fill p_up_out;
fet_endchar;


fet_beginchar ("Quarter down Funk tihead", "d2tiFunk");
	draw_Funk_ti_head (funk_notehead_width, funk_ti_weight);
	fill p_down_out;
fet_endchar;


%%%%%%   Walker shape note heads
%
% Walker heads are narrow like Funk heads, so use funk_notehead_width.
%

%%%%%%   Walker do head
%
% Trapezoid, with largest side on stem side
%
def draw_Walker_do_head (expr width_factor, dir, thickness_factor) =
	set_char_box (0, width_factor * solfa_base_notewidth#,
		      0.5 solfa_noteheight#, 0.5 solfa_noteheight#);

	pickup pencircle scaled solfa_pen_thick;

	save offset;
	offset := 2 * thickness_factor - 1;

	% adjust width so stem can be centered
	if .5w <> good.x .5w: change_width; fi

	save scaling;

	scaling# = charwd / w;

	save inset;
	inset := 0.25;

	x1 = inset [x4, x3];
	top y1 = h;

	x2 = inset [x3, x4];
	y2 = y1;

	bot y3 = -d;
	rt x3 = w;

	y4 = y3;
	lft x4 = 0;

	labels (range 1 thru 4);

	save left_dir, left_perp, right_dir, right_perp;
	pair left_dir, left_perp, right_dir, right_perp;

	left_dir = unitvector(z1 - z4);
	left_perp = (left_dir rotated 90) * solfa_pen_radius;
	right_dir = unitvector(z3 - z2);
	right_perp = (right_dir rotated 90) * solfa_pen_radius;

	save path_a, path_b, path_c, path_d;
	path path_a, path_b, path_c, path_d;

	path_a := (z4 - left_perp)
		  -- (z1 - left_perp);
	path_b := (z1 - (0, offset*solfa_pen_radius))
		  -- (z2 - (0, offset*solfa_pen_radius));
	path_c := (z2 - right_perp)
		  -- (z3 - right_perp);
	path_d := (z3 + (0, offset*solfa_pen_radius))
		  -- (z4 + (0, offset*solfa_pen_radius));

	save p_in, p_out;
	path p_in, p_out;

	p_in := (path_a intersectionpoint path_b)
		-- (path_b intersectionpoint path_c)
		-- (path_c intersectionpoint path_d)
		-- (path_d intersectionpoint path_a)
		-- cycle;

	p_out := top z1{right}
		 -- top z2{right}
		 .. z2 + right_perp {right_dir}
		 -- z3 + right_perp {right_dir}
		 .. bot z3{left}
		 -- bot z4{left}
		 .. z4 + left_perp {left_dir}
		 .. z1 + left_perp {left_dir}
		 .. cycle;

	charwx := scaling# * (w/2 + solfa_pen_radius);
	charwy := scaling# * y2 ;

	if dir = 1:
		p_in := p_in rotated 180 shifted (w,0);
		p_out := p_out rotated 180 shifted (w,0);
	fi;
enddef;


save walker_do_weight;
walker_do_weight := 1.5;

fet_beginchar ("Whole Walker dohead", "s0doWalker");
	draw_Walker_do_head (funk_notehead_width, 0, walker_do_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half up Walker dohead", "u1doWalker");
	draw_Walker_do_head (funk_notehead_width, 1, walker_do_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half down Walker dohead", "d1doWalker");
	draw_Walker_do_head (funk_notehead_width, 0, walker_do_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Quarter up Walker dohead", "u2doWalker");
	draw_Walker_do_head (funk_notehead_width, 1, walker_do_weight);
	fill p_out;
fet_endchar;


fet_beginchar ("Quarter down Walker dohead", "d2doWalker");
	draw_Walker_do_head (funk_notehead_width, 0, walker_do_weight);
	fill p_out;
fet_endchar;


%%%%%%   Walker re head
%          Parabolic on one side, shallow parabola on other
%          Has up and down shapes for *all* notes
%
def draw_Walker_re_head (expr width_factor, thickness_factor) =
	set_char_box (0, width_factor * solfa_base_notewidth#,
		      0.5 solfa_noteheight#, 0.5 solfa_noteheight#);

	save offset;
	offset := 2 * thickness_factor - 1;

	save pen_radius;
	pen_radius := min (solfa_pen_radius,
			   .3 * (h + d) / (1 + offset));

	pickup pencircle scaled (2 * pen_radius);

	save dish_factor;
	dish_factor := 0.20;

	rt x1 = w;
	bot y1 = -d;

	lft x2 = 0;
	y2 = 0.5 [y1, y3];

	top y3 = h;
	x3 = x1;

	x4 = dish_factor [x1, x2];
	y4 = y2;

	x5 = x1;
	y5 = y1 + offset * pen_radius;

	y6 = y2;
	x6 = x2 + pen_radius;

	x7 = x3;
	y7 = y3 - offset * pen_radius;

	y8 = y4;
	x8 = x4 - pen_radius;

	save path_a, path_d;
	path path_a, path_d;

	save p_a_start_dir, p_a_end_dir, p_a_start_perp, p_a_end_perp;
	pair p_a_start_dir, p_a_end_dir, p_a_start_perp, p_a_end_perp;

	path_a := z3 .. z4{down} .. z1;

	p_a_start_dir := unitvector(direction 0 of path_a);
	p_a_end_dir := unitvector(direction infinity of path_a);
	p_a_start_perp := (p_a_start_dir rotated 90) * pen_radius;
	p_a_end_perp := (p_a_end_dir rotated 90) * pen_radius;

	path_d := (z3 - p_a_start_perp){p_a_start_dir}
		  .. z4 {down}
		  ..(z1 - p_a_end_perp){p_a_end_dir};

	save path_b, path_c;
	path path_b, path_c;

	path_b := z5 {left} .. z6{up};
	path_c := z7 {left} .. z6{down};

	z9 = path_d intersectionpoint path_b;
	z10 = path_d intersectionpoint path_c;

	labels (range 1 thru 4);

	save p_up_in, p_up_out, p_down_in, p_down_out;
	path p_up_in, p_up_out, p_down_in, p_down_out;

	p_down_in := z6{up}
		     ... {right} z10 {p_a_start_dir}
		     .. z8{down}
		     .. {p_a_end_dir} z9 {left}
		     ... cycle;

	p_down_out := lft z2{up}
		      .. top z3{right}
		      .. rt z3
		      .. (z3 + p_a_start_perp){p_a_start_dir}
		      .. rt z4{down}
		      .. (z1 + p_a_end_perp) {p_a_end_dir}
		      .. rt z1
		      .. bot z1 {left}
		      .. cycle;

	p_up_in := p_down_in rotated 180 shifted (w,0);
	p_up_out := p_down_out rotated 180 shifted (w,0);
enddef;


save walker_re_weight;
walker_re_weight := 1.2;

fet_beginchar ("Whole Walker rehead", "s0reWalker");
	draw_Walker_re_head (funk_notehead_width, walker_re_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Half up Walker rehead", "u1reWalker");
	draw_Walker_re_head (funk_notehead_width, walker_re_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Half down Walker rehead", "d1reWalker");
	draw_Walker_re_head (funk_notehead_width, walker_re_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Quarter up Walker rehead", "u2reWalker");
	draw_Walker_re_head (funk_notehead_width, walker_re_weight);
	fill p_up_out;
fet_endchar;


fet_beginchar ("Quarter down Walker rehead", "d2reWalker");
	draw_Walker_re_head (funk_notehead_width, walker_re_weight);
	fill p_down_out;
fet_endchar;


%%%%%%  Walker mi head
%       Diamond shape
%       Symmetric for all hollow notes
%
save walker_mi_width, walker_mi_weight;
walker_mi_width := 1.2;
walker_mi_weight := 1.5;

fet_beginchar ("Whole Walker mihead", "s0miWalker");
	draw_mi_head (walker_mi_width * funk_notehead_width,
		      walker_mi_weight, true);
	fill path_out;
	unfill path_in;
fet_endchar;


fet_beginchar ("Half Walker mihead", "s1miWalker");
	draw_mi_head (walker_mi_width * funk_notehead_width,
		      walker_mi_weight, true);
	fill path_out;
	unfill path_in;
fet_endchar;


fet_beginchar ("Quarter Walker mihead", "s2miWalker");
	draw_mi_head (walker_mi_width * funk_notehead_width,
		      walker_mi_weight, true);
	fill path_out;
fet_endchar;


%%%%%%  Walker fa
%       Triangle shape
%       Does not rotate for whole notes
%       Whole rotation is different from Funk, so special notes

%%%%%%  Funk sol head is the same as the others
%       Need special character because of skinnier head
%
save walker_fa_weight;
walker_fa_weight := 1.5;

fet_beginchar ("Whole Walker fahead", "s0faWalker");
	draw_fa_head (funk_notehead_width, walker_fa_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Half up Walker fahead", "u1faWalker");
	draw_fa_head (funk_notehead_width, walker_fa_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Half down Walker fahead", "d1faWalker");
	draw_fa_head (funk_notehead_width, walker_fa_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Quarter up Walker fahead", "u2faWalker");
	draw_fa_head (funk_notehead_width, walker_fa_weight);
	fill p_up_out;
fet_endchar;


fet_beginchar ("Quarter down Walker fahead", "d2faWalker");
	draw_fa_head (funk_notehead_width, walker_fa_weight);
	fill p_down_out;
fet_endchar;


%%%%%%  Walker sol
%       Same as Funk, no special notes
%

%%%%%%  Walker la head
%       Rectcangle head
%       Lighter weight requires separate notes
%
save walker_la_weight;
walker_la_weight := 1.5;

fet_beginchar ("Whole Walker lahead", "s0laWalker");
	draw_la_head (funk_notehead_width, walker_la_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Half Funk lahead", "s1laWalker");
	draw_la_head (funk_notehead_width, walker_la_weight);
	fill p_out;
	unfill p_in;
fet_endchar;


fet_beginchar ("Quarter Funk lahead", "s2laWalker");
	draw_la_head (funk_notehead_width, walker_la_weight);
	fill p_out;
fet_endchar;


%%%%%%  Walker ti head
%       Triangular arrowhead
%       Rotates for all but whole notes
%
def draw_Walker_ti_head (expr width_factor, thickness_factor) =
	set_char_box (0, width_factor * solfa_base_notewidth#,
		      0.5 solfa_noteheight#, 0.5 solfa_noteheight#);

	save offset;
	offset := 2 * thickness_factor - 1;

	save pen_radius;
	pen_radius := min (solfa_pen_radius,
			   .3 * (h + d) / (1 + offset));

	pickup pencircle scaled (2 * pen_radius);

	lft x1 = 0;
	y1 = .5 [y2, y3];

	rt x2 = w;
	top y2 = h;

	x3 = x2;
	bot y3 = -d;


	labels (range 1 thru 4);

	save nw_dist, sw_dist, ne, se;
	pair nw_dist, sw_dist, ne, se;

	ne = unitvector (z2 - z1);
	se = unitvector (z3 - z1);

	nw_dist = (ne rotated 90) * pen_radius ;
	sw_dist = (se rotated -90) * pen_radius;


	save path_a, path_b, path_c;
	path path_a, path_b, path_c;
	path_a := z2 - nw_dist * offset
		  -- z1 - nw_dist * offset;
	path_b := z3 - sw_dist * offset
		  -- z1 - sw_dist * offset;
	path_c := z2 + left * pen_radius
		  -- z3 + left * pen_radius;

	z4 = path_a intersectionpoint path_b;
	z5 = path_a intersectionpoint path_c;
	z6 = path_b intersectionpoint path_c;

	save p_up_in, p_down_in, p_up_out, p_down_out;
	path p_up_in, p_down_in, p_up_out, p_down_out;

	p_down_in := z4
		     -- z5
		     -- z6
		     -- cycle;

	p_down_out := lft z1{up}
		      .. (z1 + nw_dist){ne}
		      -- (z2 + nw_dist){ne}
		      .. top z2{right}
		      .. rt z2 {down}
		      -- rt z3 {down}
		      .. bot z3 {left}
		      .. (z3 + sw_dist){- se}
		      .. (z1 + sw_dist){- se}
		      .. cycle;

	p_up_in := p_down_in rotated 180 shifted (w, 0);
	p_up_out := p_down_out rotated 180 shifted (w, 0);
enddef;


save walker_ti_weight;
walker_ti_weight := 1.4;

fet_beginchar ("Whole Walker tihead", "s0tiWalker");
	draw_Walker_ti_head (funk_notehead_width, walker_ti_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Half up Walker tihead", "u1tiWalker");
	draw_Walker_ti_head (funk_notehead_width, walker_ti_weight);
	fill p_up_out;
	unfill p_up_in;
fet_endchar;


fet_beginchar ("Half down Walker tihead", "d1tiWalker");
	draw_Walker_ti_head (funk_notehead_width, walker_ti_weight);
	fill p_down_out;
	unfill p_down_in;
fet_endchar;


fet_beginchar ("Quarter up Walker tihead", "u2tiWalker");
	draw_Walker_ti_head (funk_notehead_width, walker_ti_weight);
	fill p_up_out;
fet_endchar;


fet_beginchar ("Quarter down Walker tihead", "d2tiWalker");
	draw_Walker_ti_head (funk_notehead_width, walker_ti_weight);
	fill p_down_out;
fet_endchar;

fet_endgroup ("noteheads");


%
% we derive black_notehead_width# from the quarter head,
% so we have to define black_notehead_width (pixel qty)
% after the black_notehead_width# itself.
%
% Let's keep it outside the group as well.
%

define_pixels (black_notehead_width);
