2 % feta-bolletjes.mf -- implement noteheads
4 % source file of LilyPond's pretty-but-neat music font
6 % (c) 1997--2003 Jan Nieuwenhuizen <janneke@gnu.org>
7 % & Han-Wen Nienhuys <hanwen@cs.uu.nl>
8 % & Juergen Reuter <reuter@ipd.uka.de>
14 % most beautiful noteheads are pronounced, not circular,
15 % and not even symmetric.
16 % These examples are inspired by [Wanske], see literature list
20 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
22 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
23 save black_notehead_width, noteheight,
24 slash_thick, slash_slope, overdone_heads;
25 numeric black_notehead_width, noteheight, slash_thick;
27 fet_begingroup("noteheads");
31 % slope of slash. From scm/grob-description.scm. How to auto-copy?
34 % thickness of slash lines. quarter notes get 1.5slt width.
35 slash_thick# := 2/3*0.48staff_space#;
39 % Hand-engraved music often has balls extending above and below
40 % the lines. If you like that, modify overdone heads (unit:
44 noteheight#:=staff_space#+ (1 + overdone_heads) *stafflinethickness#;
46 define_pixels(slash_thick, noteheight);
49 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
51 % SLANT moves both extremes on the long axis (by SLANT * ELLIPSIDITY,
52 % so SLANT = -1, puts the extreme on the long axis next to the short axis one.)
55 def draw_outside_ellipse (expr ellipsidity, tilt, superness,
61 p := superellipse ((ellipsidity, 0), (-slant * ellipsidity, 1.0),
62 (- ellipsidity, 0), (slant * ellipsidity, -1.0), superness);
66 save top_point, right_point;
67 pair top_point, right_point;
69 top_point := directionpoint left of p;
70 right_point := directionpoint up of p;
72 save scaling, width, height;
74 scaling# = noteheight# /(2 ypart (top_point));
75 width# := 2 xpart (right_point) * scaling#;
77 define_pixels (width, scaling);
79 set_char_box (0, width#, noteheight#/2, noteheight#/2);
82 charwy := ypart (right_point) * scaling#;
85 p := p scaled scaling shifted (width/2, 0) ;
87 pickup pencircle scaled 1 ; draw p;
94 def undraw_inside_ellipse (expr ellipsidity, tilt, superness, clearance,
100 p := superellipse ((ellipsidity, 0), (0, 1.0),
101 (- ellipsidity, 0), (0, -1.0), superness);
105 save top_point, right_point;
106 pair top_point, right_point;
108 top_point := directionpoint left of p;
109 right_point := directionpoint up of p;
111 save height, scaling;
113 height# = staff_space# + stafflinethickness# - clearance;
114 scaling# = height# /(2 ypart (top_point));
116 define_pixels (scaling);
117 p := (p scaled scaling) shifted center;
119 if test_outlines = 1:
120 pickup pencircle scaled 1; draw p;
132 % dimensions aren't entirely right.
134 fet_beginchar ("Brevis notehead", "-1", "brevishead");
135 save stemthick, fudge;
136 define_pixels (stemthick);
137 fudge = blot_diameter /2;
138 stemthick# = 2 stafflinethickness#;
140 draw_outside_ellipse (1.80, 0, 0.707, 0);
141 undraw_inside_ellipse (1.30, 125, 0.68, 2 stafflinethickness#,
144 pickup pencircle scaled stemthick;
156 draw_gridline(z1,z2,stemthick);
157 draw_gridline(z3,z4,stemthick);
163 fet_beginchar("Whole notehead", "0", "wholehead")
164 draw_outside_ellipse (1.80 - puff_up_factor / 3.0, 0, 0.707, 0);
165 undraw_inside_ellipse (1.30, 125 - puff_up_factor *10,
166 0.68, 2 stafflinethickness#,
169 % draw_staff_outline (-2, 2, 0.5);
174 fet_beginchar("Half notehead", "1", "halfhead")
175 draw_outside_ellipse (1.53 - puff_up_factor / 3.0, 34, 0.66, 0.17);
176 undraw_inside_ellipse (3.25, 33, 0.81,
177 2.5 stafflinethickness#, (w/2, 0));
181 fet_beginchar("Quart notehead", "2", "quarthead")
182 draw_outside_ellipse (1.54 - puff_up_factor / 2.0, 32, 0.707, 0);
183 black_notehead_width# := charwd;
186 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
189 fet_beginchar("Whole diamondhead", "0diamond", "wholediamondhead")
190 draw_outside_ellipse (1.80, 0, 0.495, 0);
191 undraw_inside_ellipse (1.30, 125, 0.6,
192 .4 staff_space# + stafflinethickness#,
197 fet_beginchar("Half diamondhead", "1diamond",
200 draw_outside_ellipse (1.50, 34, 0.49, 0.17);
201 undraw_inside_ellipse (3.5, 33, 0.80,
202 .3 staff_space# + 1.5 stafflinethickness#, (w/2, 0));
206 fet_beginchar("Quart diamondheadh", "2diamondh", "diamondheadh")
207 draw_outside_ellipse (1.80, 35, 0.495, -0.25);
210 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
217 save triangle,kern; path triangle;
218 save left_point, height, width;
219 pair exact_left_point;
221 pen_thick# = stafflinethickness# + .1 staff_space#;
222 define_pixels(pen_thick);
224 exact_left_point := llap# * dir (90 + tilt);
225 height# = max (ypart exact_left_point,
226 -ypart (exact_left_point rotated 120)) + pen_thick#/2;
228 kern# = 1/3 xpart (exact_left_point - (exact_left_point rotated 120));
229 width# = xpart (-exact_left_point + (exact_left_point rotated 240));
230 define_pixels (kern);
231 z1 = (hround_pixels (xpart exact_left_point), vround_pixels (ypart exact_left_point));
235 z12 = caveness[.5[z1,z2],z3];
236 z23 = z12 rotated 120;
237 z31 = z12 rotated 240;
238 triangle = z1 .. z12 .. z2 ..
242 triangle := triangle shifted (-x1+pen_thick/2-kern,0) xscaled xs;
243 pickup pencircle scaled pen_thick xscaled xs;
244 % labels(1,2,12,23,31,3);
245 set_char_box(0, width# - kern#+ pen_thick#, height#, height#);
248 fet_beginchar("Whole trianglehead", "0triangle", "wholetrianglehead")
254 llap# = 3/4noteheight#;
262 fet_beginchar("Half trianglehead", "1triangle", "halftrianglehead")
268 llap# = 2/3noteheight#;
275 fet_beginchar("Quart trianglehead", "2triangle", "trianglehead")
280 llap# = 2/3noteheight#;
287 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
289 def draw_slash(expr hwid_hash) =
292 set_char_box (0, staff_space# / slash_slope + hwid_hash,
293 staff_space#/2 + stafflinethickness#/2,
294 staff_space#/2 + stafflinethickness#/2);
300 pickup pencircle scaled blot_diameter;
305 lft x2 = staff_space / slash_slope;
312 filldraw z1 --- z2 --- z3 --- z4 --- cycle;
314 if hwid_hash > 2 slash_thick#:
317 th = slash_thick - blot_diameter;
322 z6 - z5 = whatever * (1, slash_slope);
323 z8 - z7 = whatever * (1, slash_slope);
325 z5 = z1 + whatever * (1, slash_slope) + (th, 0);
326 z8 = z4 + whatever * (1, slash_slope) + (-th, 0);
329 z5 -- z6 -- z7 -- z8 -- cycle;
331 labels (range 1 thru 10);
334 fet_beginchar("Whole slashhead","0slash","wholeslashhead")
335 draw_slash(2 slash_thick# + 0.5 staff_space#);
338 fet_beginchar("Half slashhead","1slash","halfslashhead")
339 draw_slash(2 slash_thick# + 0.15 staff_space#);
342 fet_beginchar("Quart slashhead","2slash","quartslashhead")
343 draw_slash(slash_thick#);
346 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
348 % thick is the distance between the NE/SW parallel lines in the cross
349 % (distance between centres of lines)
350 % in stafflinethickness def
352 def draw_cross(expr thick) =
353 save pent, slant, ne_dir;
357 pent# := 1.2stafflinethickness#;
358 define_pixels (pent);
359 pickup pencircle scaled pent;
362 ne_dir := unitvector ((1, (2 h -pent)/(w - pent)));
365 z4 - z5 = whatever * ne_dir;
367 z6 - z3 = whatever * ne_dir;
368 z3 - z4 = whatever * (ne_dir yscaled -1);
370 z4 - z3 = whatever * (ne_dir) + (ne_dir rotated -90) * thick * stafflinethickness;
372 x1 = charwd/2 - .5 pent#;
373 z1 = whatever * ne_dir + thick * stafflinethickness * (ne_dir rotated -90);
376 labels (1,2,3,4,5,6);
378 crz = (z6 -- z3 -- z4 -- z5) ;
380 draw crz shifted(w/2,0);
381 draw crz xscaled -1 shifted(w/2,0);
382 draw crz yscaled -1 shifted(w/2,0);
383 draw crz scaled -1 shifted(w/2,0);
389 fet_beginchar("Whole Crossed notehead", "0cross", "wholecrossedhead")
390 wid# := black_notehead_width#+4stafflinethickness#;
391 hei# := noteheight#+stafflinethickness#;
392 set_char_box(0, wid#,hei#/2,hei#/2);
397 fet_beginchar("Half Crossed notehead", "1cross", "halfcrossedhead")
398 wid# := black_notehead_width#+2stafflinethickness#;
399 hei# := noteheight#+stafflinethickness#/2;
400 set_char_box(0, wid#,hei#/2,hei#/2);
404 fet_beginchar("Crossed notehead", "2cross", "crossedhead")
405 wid# := black_notehead_width#;
407 set_char_box(0, wid#,hei#/2,hei#/2);
411 fet_beginchar("X-Circled notehead", "2xcircle", "xcircledhead")
412 wid# := black_notehead_width#*sqrt(sqrt2);
413 hei# := noteheight#*sqrt(sqrt2);
414 set_char_box(0, wid#,hei#/2,hei#/2);
415 cthick := (1.2+1/4)*stafflinethickness;
418 pickup pencircle scaled cthick;
419 draw fullcircle xscaled 2cxr yscaled 2cyr shifted (w/2,0);
422 draw (-xpos+w/2,-ypos) -- (xpos+w/2,ypos);
423 draw (-xpos+w/2,ypos) -- (xpos+w/2,-ypos);
425 charwx := 3/4 charwd ;
426 charwy := 1/4 charwd ;
431 fet_endgroup("noteheads");
433 define_pixels(black_notehead_width);