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1 %  -*-Fundamental-*-
2 % feta-bolletjes.mf --  implement noteheads
3
4 % source file of LilyPond's pretty-but-neat music font
5
6 % (c)  1997--2003 Jan Nieuwenhuizen <janneke@gnu.org>
7 % & Han-Wen Nienhuys <hanwen@cs.uu.nl>
8 % & Juergen Reuter <reuter@ipd.uka.de>
9
10
11 test_outlines := 0;
12
13
14 % most beautiful noteheads are pronounced, not circular, 
15 % and not even symmetric.
16 % These examples are inspired by [Wanske], see literature list
17
18
19
20 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
21 % NOTE HEAD VARIABLES
22 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
23 save black_notehead_width, noteheight,
24         slash_thick, slash_slope, overdone_heads;
25 numeric black_notehead_width, noteheight, slash_thick;
26
27 fet_begingroup("noteheads");
28
29
30
31 % slope of slash. From scm/grob-description.scm. How to auto-copy?
32 slash_slope := 1.7; 
33
34 % thickness of slash lines. quarter notes get 1.5slt width.
35 slash_thick# := 2/3*0.48staff_space#;
36
37
38 %
39 % Hand-engraved music often has balls extending above and below
40 % the lines.  If you like that, modify overdone heads (unit:
41 % stafflinethickness)
42 %
43 overdone_heads = 0.0;
44 noteheight#:=staff_space#+ (1 + overdone_heads) *stafflinethickness#;
45
46 define_pixels(slash_thick, noteheight);
47
48
49 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
50 %
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.)
53 %
54
55 def draw_outside_ellipse (expr ellipsidity, tilt, superness,
56                         slant) =
57         save attachment_y;
58         save p;
59         path p;
60
61         p := superellipse ((ellipsidity, 0), (-slant * ellipsidity, 1.0),
62                         (- ellipsidity, 0), (slant * ellipsidity, -1.0), superness);
63
64         p := p rotated tilt;
65
66         save top_point, right_point;
67         pair top_point, right_point;
68
69         top_point := directionpoint left of p;
70         right_point := directionpoint up of p;
71
72         save scaling, width, height;
73
74         scaling# = noteheight# /(2 ypart (top_point));
75         width# := 2 xpart (right_point) * scaling#;
76
77         define_pixels (width, scaling);
78         
79         set_char_box (0, width#, noteheight#/2, noteheight#/2);
80
81         % attachment Y
82         charwy := ypart (right_point) * scaling#;
83         charwx := width# ;
84
85         p := p scaled scaling shifted (width/2, 0) ;
86         if test_outlines = 1:
87                 pickup pencircle scaled 1 ; draw p;
88         else:
89                 fill p;
90         fi;
91 enddef;
92
93
94 def undraw_inside_ellipse (expr ellipsidity, tilt, superness, clearance,
95                         center) =
96 begingroup
97         save p;
98         path p;
99
100         p := superellipse ((ellipsidity, 0), (0, 1.0),
101                         (- ellipsidity, 0), (0, -1.0), superness);
102
103         p := p rotated tilt;
104
105         save top_point, right_point;
106         pair top_point, right_point;
107
108         top_point := directionpoint left of p;
109         right_point := directionpoint up of p;
110
111         save height, scaling;
112
113         height# = staff_space# + stafflinethickness# - clearance;
114         scaling# = height# /(2 ypart (top_point));
115
116         define_pixels (scaling);
117         p := (p scaled scaling) shifted center;
118
119         if test_outlines = 1:
120                 pickup pencircle scaled 1; draw p;
121         else:
122                 unfill p;
123         fi
124 endgroup;
125 enddef;
126
127
128
129
130
131 %
132 % dimensions aren't entirely right.
133 %
134 fet_beginchar ("Brevis notehead", "-1", "brevishead");
135         save stemthick, fudge;
136         define_pixels (stemthick);
137         fudge = blot_diameter /2;
138         stemthick# = 2 stafflinethickness#;
139
140         draw_outside_ellipse (1.80, 0, 0.707, 0);
141         undraw_inside_ellipse (1.30, 125, 0.68, 2 stafflinethickness#,
142                                 (w /2, 0));
143
144         pickup pencircle scaled stemthick;
145
146         bot y1 = -d;
147         top y2 = h;
148         rt x1 - fudge = 0;
149         x1 = x2;
150
151         fudge + lft x3 = w;
152         x4 = x3;
153         y4 = y2;
154         y3 = y1;
155
156         draw_gridline(z1,z2,stemthick);
157         draw_gridline(z3,z4,stemthick);
158
159 fet_endchar;
160
161
162
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#,
167                         (w /2, 0));
168
169 %       draw_staff_outline (-2, 2, 0.5);
170
171 fet_endchar;
172
173
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));
178
179 fet_endchar;
180         
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;
184 fet_endchar;
185
186 fet_beginchar("Quart notehead", "2AA", "quarthead")
187         draw_outside_ellipse (1.6 - puff_up_factor / 2.0, 32, 0.707, 0);
188         black_notehead_width# := charwd;
189 fet_endchar;
190 fet_beginchar("Quart notehead", "2AB", "quarthead")
191         draw_outside_ellipse (1.65 - puff_up_factor / 2.0, 32, 0.707, 0);
192         black_notehead_width# := charwd;
193 fet_endchar;
194 fet_beginchar("Quart notehead", "2AC", "quarthead")
195         draw_outside_ellipse (1.7 - puff_up_factor / 2.0, 32, 0.707, 0);
196         black_notehead_width# := charwd;
197 fet_endchar;
198 fet_beginchar("Quart notehead", "2AD", "quarthead")
199         draw_outside_ellipse (1.75 - puff_up_factor / 2.0, 32, 0.707, 0);
200         black_notehead_width# := charwd;
201 fet_endchar;
202 fet_beginchar("Quart notehead", "2BA", "quarthead")
203         draw_outside_ellipse (1.6 - puff_up_factor / 2.0, 35, 0.707, 0);
204         black_notehead_width# := charwd;
205 fet_endchar;
206 fet_beginchar("Quart notehead", "2BB", "quarthead")
207         draw_outside_ellipse (1.65 - puff_up_factor / 2.0, 35, 0.707, 0);
208         black_notehead_width# := charwd;
209 fet_endchar;
210 fet_beginchar("Quart notehead", "2BC", "quarthead")
211         draw_outside_ellipse (1.7 - puff_up_factor / 2.0, 35, 0.707, 0);
212         black_notehead_width# := charwd;
213 fet_endchar;
214 fet_beginchar("Quart notehead", "2BD", "quarthead")
215         draw_outside_ellipse (1.75 - puff_up_factor / 2.0, 35, 0.707, 0);
216         black_notehead_width# := charwd;
217 fet_endchar;
218 fet_beginchar("Quart notehead", "2CA", "quarthead")
219         draw_outside_ellipse (1.6 - puff_up_factor / 2.0, 38, 0.707, 0);
220         black_notehead_width# := charwd;
221 fet_endchar;
222 fet_beginchar("Quart notehead", "2CB", "quarthead")
223         draw_outside_ellipse (1.65 - puff_up_factor / 2.0, 38, 0.707, 0);
224         black_notehead_width# := charwd;
225 fet_endchar;
226 fet_beginchar("Quart notehead", "2CC", "quarthead")
227         draw_outside_ellipse (1.7 - puff_up_factor / 2.0, 38, 0.707, 0);
228         black_notehead_width# := charwd;
229 fet_endchar;
230 fet_beginchar("Quart notehead", "2CD", "quarthead")
231         draw_outside_ellipse (1.75 - puff_up_factor / 2.0, 38, 0.707, 0);
232         black_notehead_width# := charwd;
233 fet_endchar;
234
235 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
236
237
238 fet_beginchar("Whole diamondhead", "0diamond", "wholediamondhead")
239         draw_outside_ellipse (1.80, 0, 0.495, 0);
240         undraw_inside_ellipse (1.30, 125, 0.6,
241                         .4 staff_space# +  stafflinethickness#,
242                                 (w /2, 0));
243
244 fet_endchar;
245
246 fet_beginchar("Half diamondhead", "1diamond", 
247         "halfdiamondhead")
248
249         draw_outside_ellipse (1.50, 34, 0.49, 0.17);
250         undraw_inside_ellipse (3.5, 33, 0.80,
251                 .3 staff_space# + 1.5 stafflinethickness#, (w/2, 0));
252
253 fet_endchar;
254
255 fet_beginchar("Quart diamondheadh", "2diamondh", "diamondheadh")
256         draw_outside_ellipse (1.80, 35, 0.495, -0.25);
257 fet_endchar;
258
259 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
260
261
262
263
264
265 def def_triangle =
266         save triangle,kern; path triangle;
267         save left_point, height, width;
268         pair exact_left_point;
269         save pen_thick;
270         pen_thick# = stafflinethickness#  + .1 staff_space#;
271         define_pixels(pen_thick);
272
273         exact_left_point := llap# * dir (90 + tilt);
274         height# = max (ypart exact_left_point,
275                         -ypart  (exact_left_point rotated 120)) + pen_thick#/2;
276
277         kern# = 1/3 xpart (exact_left_point - (exact_left_point rotated 120));
278         width# = xpart (-exact_left_point + (exact_left_point rotated 240));
279         define_pixels (kern);   
280         z1 = (hround_pixels (xpart exact_left_point), vround_pixels  (ypart exact_left_point));
281         z2 = z1 rotated 120;
282         z3 = z1 rotated 240;
283
284         z12 = caveness[.5[z1,z2],z3];
285         z23 = z12 rotated 120;
286         z31 = z12 rotated 240;
287         triangle = z1 .. z12 .. z2 ..
288                     z2 .. z23 .. z3 ..
289                     z3 .. z31 .. z1 ..
290                     cycle;
291         triangle := triangle shifted (-x1+pen_thick/2-kern,0) xscaled xs;
292         pickup pencircle scaled pen_thick xscaled xs;
293 %       labels(1,2,12,23,31,3);
294         set_char_box(0, width# - kern#+ pen_thick#, height#, height#);
295 enddef;
296
297 fet_beginchar("Whole trianglehead", "0triangle", "wholetrianglehead")
298         save hei,xs;
299         save llap;
300         save tilt;
301
302         tilt = 40;
303         llap# = 3/4noteheight#;
304
305         xs = 1.5;
306         caveness:=0.1;
307         def_triangle;
308         draw triangle;
309 fet_endchar;
310
311 fet_beginchar("Half trianglehead", "1triangle", "halftrianglehead")
312         save hei,xs;
313         save llap;
314         save tilt;
315
316         tilt = 40;
317         llap# = 2/3noteheight#;
318         xs = 1.2;
319         caveness:=0.1;
320         def_triangle;
321         draw triangle;
322 fet_endchar;
323
324 fet_beginchar("Quart trianglehead", "2triangle", "trianglehead")
325         save hei,xs;
326         save llap;
327         save tilt;
328         tilt = 40;
329         llap# = 2/3noteheight#;
330         xs = 1.0;
331         caveness:=0.1;
332         def_triangle;
333         filldraw triangle;
334 fet_endchar;
335
336 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
337 %
338 % slash heads are for indicating improvisation. They are  
339 % twice as high as normal heads.
340 %
341 def draw_slash(expr hwid_hash) =
342         save exact_height;
343         save ne_dir;
344         pair ne_dir;
345         exact_height =  staff_space# + stafflinethickness#/2;
346
347         set_char_box (0, 2 exact_height / slash_slope + hwid_hash,
348                         exact_height, exact_height);
349
350         charwx := charwd;
351         charwy := charht;
352
353         clearxy;
354         pickup pencircle scaled blot_diameter;
355
356         bot y1 = - d;
357         top y2 = h;
358         lft x1 = 0;
359         lft x2 = 2 h / slash_slope;
360         
361         rt x3 = w;
362         y3 = y2;
363         y4 = y1;
364         x3- x2 = x4 - x1;
365
366         ne_dir := unitvector( z3  - z4);
367         filldraw z1 --- z2 --- z3 --- z4 --- cycle;
368
369         if hwid_hash > 2 slash_thick#:
370                 save th;
371
372                 th = slash_thick - blot_diameter;
373                 y6 = y7;
374                 y5 = y8;
375                 y3 - y7 = th;
376                 y5 - y1 = th;
377                 z6 - z5 = whatever * ne_dir;
378                 z8 - z7 = whatever * ne_dir;
379
380                 z5  = z1 + whatever * ne_dir + th * (ne_dir rotated -90);
381                 z8  = z4 + whatever * ne_dir + th * (ne_dir rotated 90);
382
383                 unfill
384                         z5 -- z6 -- z7 -- z8 -- cycle;
385         fi
386         labels (range 1 thru 10);
387 enddef;
388
389 fet_beginchar("Whole slashhead","0slash","wholeslashhead")
390         draw_slash(4 slash_thick# + 0.5 staff_space#);
391 fet_endchar;
392
393 fet_beginchar("Half slashhead","1slash","halfslashhead")
394         draw_slash(3.0 slash_thick# + 0.15 staff_space#);
395 fet_endchar;
396
397 fet_beginchar("Quart slashhead","2slash","quartslashhead")
398         draw_slash(1.5 slash_thick#);
399 fet_endchar;
400
401 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
402 % thick is the distance between the NE/SW parallel lines in the cross
403 % (distance between centres of lines)
404 % in stafflinethickness def
405 %
406 def draw_cross(expr thick) =
407         save pent, slant, ne_dir;
408         pair ne_dir;
409         save crz; path crz;
410
411         pen_thick# := 1.2stafflinethickness#;
412         define_pixels (pen_thick);
413         pickup pencircle scaled pen_thick;
414
415         top y3 = h;
416         ne_dir := unitvector ((1, (2 h -pen_thick)/(w - pen_thick)));
417         rt x4 = w/2;
418         y5 = 0;
419         z4 - z5 = whatever * ne_dir;
420         x6 = 0;
421         z6 - z3 = whatever * ne_dir;
422         z3 - z4 = whatever * (ne_dir yscaled -1);
423
424         z4 - z3 = whatever * (ne_dir) + (ne_dir rotated -90) * thick * stafflinethickness;
425
426         x1 = charwd/2 - .5 pen_thick#;
427         z1 = whatever * ne_dir + thick/2 * stafflinethickness# * (ne_dir rotated -90);
428
429         
430         labels (1,2,3,4,5,6);
431
432         crz = (z6 -- z3 -- z4 -- z5) ;
433
434         draw crz shifted(w/2,0);
435         draw crz xscaled -1 shifted(w/2,0);
436         draw crz yscaled -1 shifted(w/2,0);
437         draw crz scaled -1 shifted(w/2,0);
438
439         charwx := charwd;
440         charwy := y1;
441                 message (decimal charwx);
442                 message (decimal charwy);
443         z12 = (charwx * hppp, y1 * vppp);
444         labels (12);
445 enddef;
446
447 fet_beginchar("Whole Crossed notehead", "0cross", "wholecrossedhead")
448         wid# := black_notehead_width#+4stafflinethickness#;
449         hei# := noteheight#+stafflinethickness#;
450         set_char_box(0, wid#,hei#/2,hei#/2);
451         
452         draw_cross (3.75);
453 fet_endchar;
454
455 fet_beginchar("Half Crossed notehead", "1cross", "halfcrossedhead")
456         wid# := black_notehead_width#+2stafflinethickness#;
457         hei# := noteheight#+stafflinethickness#/2;
458         set_char_box(0, wid#,hei#/2,hei#/2);
459         draw_cross(3.0);
460 fet_endchar;
461
462 fet_beginchar("Crossed notehead", "2cross", "crossedhead")
463         wid# := black_notehead_width#;
464         hei# := noteheight#;
465         set_char_box(0, wid#,hei#/2,hei#/2);
466         draw_cross(1.0);
467 fet_endchar;
468
469 fet_beginchar("X-Circled notehead", "2xcircle", "xcircledhead")
470         wid# := black_notehead_width#*sqrt(sqrt2);
471         hei# := noteheight#*sqrt(sqrt2);
472         set_char_box(0, wid#,hei#/2,hei#/2);
473         cthick := (1.2+1/4)*stafflinethickness;
474         cxr := w/2-cthick/2;
475         cyr := h-cthick/2;
476         pickup pencircle scaled cthick;
477         draw fullcircle xscaled 2cxr yscaled 2cyr shifted (w/2,0);
478         xpos := cxr/sqrt2;
479         ypos := cyr/sqrt2;
480         draw (-xpos+w/2,-ypos) -- (xpos+w/2,ypos);
481         draw (-xpos+w/2,ypos) -- (xpos+w/2,-ypos);
482
483         charwx := charwd ; 
484         charwy := 0 ;
485
486         z12 = (charwx * hppp , charwy * vppp );
487         labels (12);
488 fet_endchar;
489
490
491
492 fet_endgroup("noteheads");
493
494 define_pixels(black_notehead_width);