1%
2% feta-banier.mf -- draw flags
3%
4% source file of the GNU LilyPond music typesetter
5%
6% (c) 1997--2009 Han-Wen Nienhuys <hanwen@xs4all.nl>
7
8fet_begingroup ("flags");
9
10save outer_path;
11path outer_path;
12
13%
14% Flags pointing down overlap with the notehead (in x-direction), so
15% the down-flag can be bigger.
16%
17
18upflag_width# = .65 black_notehead_width# + stemthickness# / 2;
19downflag_width# = .833 black_notehead_width# + stemthickness# / 2;
20
21right_upflag_space# = .0 upflag_width#;
22right_downflag_space# = .0 downflag_width#;
23
24%
25% Flags pointing down cannot overlap with the notehead in y-direction,
26% so they have less slant.
27%
28% Because of optical illusion, the utmost flag (bottom for
29% down-pointing, top for up-pointing) should be smaller than the other
30% flags.  Adobe Sonata doesn't do this correctly.  (Instead they have
31% an extension flag, which looks less elegant.)
32%
33
34save hip_thickness, foot_thickness;
35
36hip_thickness# = 1.0 linethickness# + 0.069 staff_space#;
37foot_thickness# = 1.2055 linethickness# + 0.06 staff_space#;
38
39define_pixels (hip_thickness, foot_thickness);
40
41%
42% Inspired by Adobe Sonata and [Wanske].
43% For example, see POSTSCRIPT Language -- program design,
44% page 119, and [Wanske], p 41, 42.
45%
46
47def draw_flag (expr center, flare, dims, hip_depth, foot_wid,
48	       hip_thickness, foot_thickness, show_labels) =
49	save c;
50
51	clearxy;
52
53	c = 0.7;
54
55	penpos1 (flare, 90);
56	penpos2 (whatever, 0);
57
58	x2r - x2l = hround (hip_thickness);
59
60	penpos3 (foot_thickness, -20.0);
61
62	z1r = center;
63	z2r = center + (xpart (dims), -ypart (dims) * hip_depth);
64	z3r = center + (xpart (dims) * foot_wid, -ypart (dims));
65
66	x2r := hround x2r;
67	y2r := vround y2r;
68
69	outer_path := z3r{curl c}
70		      .. z2r{up}
71		      .. {up}z1r;
72
73	if show_labels = 1:
74		penlabels (1, 2, 3);
75	fi;
76
77	fill z1l{curl 0}
78	     ..tension 1.1.. z2l{down}
79	     ..	{curl c}simple_serif (z3l, z3r, 80)
80	     & outer_path
81	     & z1r
82	     -- cycle;
83enddef;
84
85%
86% TODO: calculate intersectpoint (see TeX book, p. 137)
87% TODO: calculate incision_depth
88%
89
90def add_flag (expr yoff, flare, hip_wid_multiplier, hip_dep_multiplier,
91	      intersectpoint, hip_thickness, foot_thickness) =
92begingroup
93	save prev_center, prev_xextreme, prev_yextreme;
94	save rel_foot, ip, center, incision_depth;
95	save prev_hipwid, prev_footdep, prev_hipdep, wid, dep, hip_dep;
96	save hip_dep_ratio, foot_wid_ratio;
97	pair prev_center, center, foot, prev_xextreme, prev_yextreme;
98	pair ip, rel_foot;
99
100	incision_depth = 1.013;
101	prev_center = point 2 of outer_path;
102	prev_xextreme = point 1 of outer_path;
103	prev_yextreme = point 0 of outer_path;
104	prev_hipwid = xpart (prev_xextreme - prev_center);
105	prev_footdep = -ypart (prev_yextreme - prev_center);
106	prev_hipdep = -ypart (prev_xextreme - prev_center);
107	ip = point intersectpoint of outer_path;
108
109	wid = prev_hipwid * hip_wid_multiplier;
110	hip_dep = prev_hipdep * hip_dep_multiplier;
111
112	center = prev_center + (0, yoff);
113	rel_foot = incision_depth [(wid, hip_dep), ip - center];
114	dep = -ypart (rel_foot);
115	foot_wid_ratio = xpart (rel_foot) / wid;
116	hip_dep_ratio = hip_dep / dep;
117
118	draw_flag (center, flare, (wid, dep),
119		   hip_dep_ratio, foot_wid_ratio,
120		   hip_thickness, foot_thickness, 0);
121endgroup
122enddef;
123
124
125fet_beginchar ("8th Flag (up)", "u3");
126	save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
127
128	flare = staff_space;
129	hip_depth_ratio = .72;
130	foot_width_ratio = .8;
131	hip_width# = upflag_width# - hip_thickness# / 2;
132	foot_depth# = 3 staff_space# - blot_diameter# / 2;
133	define_pixels (hip_width, foot_depth);
134
135	set_char_box (0,
136		      hip_width# + stemthickness# / 2 + right_upflag_space#,
137		      foot_depth# + foot_thickness# / 2, stemthickness# / 2);
138
139	draw_flag ((0,0), flare, (hip_width, foot_depth),
140		   hip_depth_ratio, foot_width_ratio,
141		   hip_thickness, foot_thickness, 1);
142
143	draw_square_block ((-0.5 stemthickness_rounded, -staff_space_rounded),
144			   (0, 0));
145fet_endchar;
146
147
148fet_beginchar ("16th Flag (up)", "u4");
149	save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
150	save flagspace, total_depth, flag_count;
151
152	total_depth# = 3.5 staff_space# - blot_diameter# / 2;
153	flag_count = 2;
154	flare = .85 staff_space;
155	flagspace# = .85 staff_space#;
156	hip_depth_ratio = .72;
157	hip_width# = upflag_width# - hip_thickness# / 2;
158	flagspace# + foot_depth# = total_depth#;
159	foot_width_ratio = .8;
160	define_pixels (hip_width, foot_depth);
161	define_whole_vertical_pixels (flagspace);
162
163	set_char_box (0,
164		      hip_width# + stemthickness# / 2 + right_upflag_space#,
165		      total_depth# + foot_thickness# / 2, stemthickness# / 2);
166
167	draw_flag ((0, -flagspace), flare, (hip_width, foot_depth),
168		   hip_depth_ratio, foot_width_ratio,
169		   hip_thickness, foot_thickness, 1);
170
171	add_flag (flagspace, flare, .97, 1.00, 1.25,
172		  hip_thickness, foot_thickness);
173
174	draw_square_block ((-0.5 stemthickness_rounded, 0),
175			   (0, -2 staff_space_rounded));
176fet_endchar;
177
178
179fet_beginchar ("32nd Flag (up)", "u5");
180	save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
181	save flagspace, total_depth, flag_count;
182
183	flag_count = 3;
184	total_depth# = 4.25 staff_space#;
185	flare = .85 staff_space;
186	flagspace# = .87 staff_space#;
187	hip_depth_ratio = .72;
188	hip_width# = upflag_width# - hip_thickness# / 2;
189	foot_width_ratio = .8;
190
191	(flag_count - 1) * flagspace# + foot_depth# = total_depth#;
192
193	define_pixels (hip_width, foot_depth);
194	define_whole_vertical_pixels (flagspace);
195
196	set_char_box (0, hip_width# + right_upflag_space#,
197		      total_depth# + foot_thickness# / 2, stemthickness# / 2);
198
199	draw_flag ((0, -2 flagspace), flare, (hip_width, foot_depth),
200		   hip_depth_ratio, foot_width_ratio,
201		   hip_thickness, foot_thickness, 1);
202
203	add_flag (flagspace, flare, .97, 1.00, 1.25,
204		  hip_thickness, foot_thickness);
205	add_flag (flagspace, flare, .95, 1.05, 1.25,
206		  hip_thickness, foot_thickness);
207
208	draw_square_block ((-0.5 stemthickness_rounded, 0),
209			   (0, -3 staff_space_rounded));
210fet_endchar;
211
212
213fet_beginchar ("64th Flag (up)", "u6");
214	save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
215	save flagspace, total_depth, flag_count;
216
217	flag_count = 4;
218	flare = .85 staff_space;
219	flagspace# = .9 staff_space#;
220	hip_depth_ratio = .72;
221	hip_width# = upflag_width# - hip_thickness# / 2;
222	total_depth# = 5.25 staff_space#;
223	foot_width_ratio = .8;
224
225	(flag_count - 1) * flagspace# + foot_depth# = total_depth#;
226
227	define_pixels (hip_width, foot_depth);
228	define_whole_vertical_pixels (flagspace);
229
230	set_char_box (0, hip_width# + right_upflag_space#,
231		      total_depth# + foot_thickness# / 2, stemthickness# / 2);
232
233	draw_flag ((0, -(flag_count - 1) * flagspace), flare,
234		   (hip_width, foot_depth),
235		   hip_depth_ratio, foot_width_ratio,
236		   hip_thickness, foot_thickness, 1);
237
238	add_flag (flagspace, flare, .97, 1.00, 1.3,
239		  hip_thickness, foot_thickness);
240	add_flag (flagspace, flare, 1.00, 1.00, 1.25,
241		  hip_thickness, foot_thickness);
242	add_flag (flagspace, flare, .95, 1.05, 1.25,
243		  hip_thickness, foot_thickness);
244
245	draw_square_block ((-0.5 stemthickness_rounded, 0),
246			   (0, -4 staff_space_rounded));
247fet_endchar;
248
249
250fet_beginchar ("128th Flag (up)", "u7");
251	save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
252	save flagspace, total_depth, flag_count;
253
254	flag_count = 5;
255	flare = .85 staff_space;
256	flagspace# = .93 staff_space#;
257	hip_depth_ratio = .72;
258	hip_width# = upflag_width# - hip_thickness# / 2;
259	total_depth# = 6.25 staff_space#;
260	foot_width_ratio = .8;
261
262	(flag_count - 1) * flagspace# + foot_depth# = total_depth#;
263
264	define_pixels (hip_width, foot_depth);
265	define_whole_vertical_pixels (flagspace);
266
267	set_char_box (0, hip_width# + right_upflag_space#,
268		      total_depth# + foot_thickness# / 2, stemthickness# / 2);
269
270	draw_flag ((0, -(flag_count - 1) * flagspace), flare,
271		   (hip_width, foot_depth),
272		   hip_depth_ratio, foot_width_ratio,
273		   hip_thickness, foot_thickness, 1);
274
275	add_flag (flagspace, flare, .97, 1.00, 1.3,
276		  hip_thickness, foot_thickness);
277	add_flag (flagspace, flare, 1.00, 1.00, 1.25,
278		  hip_thickness, foot_thickness);
279	add_flag (flagspace, flare, 1.00, 1.00, 1.25,
280		  hip_thickness, foot_thickness);
281	add_flag (flagspace, flare, 0.95, 1.05, 1.25,
282		  hip_thickness, foot_thickness);
283
284	draw_square_block ((-0.5 stemthickness_rounded, 0),
285			   (0, -5 staff_space_rounded));
286fet_endchar;
287
288
289fet_beginchar ("8th (down)", "d3");
290	save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
291	save flagspace, total_depth, flag_count;
292
293	flag_count = 1;
294	flare = staff_space;
295	flagspace# = .9 staff_space#;
296	hip_depth_ratio = .72;
297	hip_width# = downflag_width# - hip_thickness# / 2;
298	total_depth# = 2.85 staff_space#;
299	foot_width_ratio = .8;
300
301	(flag_count - 1) * flagspace# + foot_depth# = total_depth#;
302
303	define_pixels (hip_width, flagspace, foot_depth);
304
305	set_char_box (0, hip_width# + right_downflag_space#,
306		      total_depth# + foot_thickness# / 2, stemthickness# / 2)
307
308	draw_flag ((0, -(flag_count - 1) * flagspace), flare,
309		   (hip_width, foot_depth),
310		   hip_depth_ratio, foot_width_ratio,
311		   hip_thickness, foot_thickness, 0);
312
313	draw_square_block ((-0.5 stemthickness_rounded, 0),
314			   (0, -staff_space_rounded));
315
316	y_mirror_char;
317fet_endchar;
318
319
320%%%%%%%%
321%
322% Single Stroke for Short Appogiatura
323%
324
325fet_beginchar ("grace dash (up)", "ugrace");
326	save flare, hip_depth_ratio, hip_width, foot_depth;
327
328	hip_depth_ratio = .72;
329	flare# = staff_space#;
330	hip_width# = upflag_width# - hip_thickness# / 2;
331	foot_depth# = 3 staff_space#;
332
333	define_pixels (hip_width, foot_depth);
334
335	set_char_box (hip_width# * hip_depth_ratio,
336		      hip_width# + right_upflag_space#,
337		      foot_depth# * hip_depth_ratio, -flare#)
338
339	pickup pencircle scaled 1.5 stemthickness;
340
341	z1 = (-b, -d);
342	z2 = (w, h);
343
344	penpos1 (1.5 stemthickness, angle (z2 - z1) - 90);
345	penpos2 (1.5 stemthickness, angle (z2 - z1) - 90);
346
347	fill z1l
348	     -- z2l
349	     .. top z2
350	     .. rt z2
351	     .. z2r
352	     -- z1r
353	     .. bot z1
354	     .. lft z1
355	     .. cycle;
356
357	penlabels (1, 2);
358fet_endchar;
359
360
361fet_beginchar ("grace dash (down)", "dgrace");
362	save flare, hip_depth_ratio, hip_width,	foot_depth;
363	save total_depth;
364
365	hip_depth_ratio = .72 ;
366	flare# = .99 staff_space#;
367	hip_width# = downflag_width# - hip_thickness# / 2;
368	total_depth# = 2.85 staff_space#;
369	foot_depth# = total_depth#;
370	foot_width_ratio = .8;
371
372	define_pixels (hip_width, foot_depth);
373
374	set_char_box (hip_width# * hip_depth_ratio,
375		      hip_width# + right_downflag_space#,
376		      foot_depth# * hip_depth_ratio, -flare#)
377
378	pickup pencircle scaled 1.5 stemthickness;
379
380	z1 = (-b, -d);
381	z2 = (w, h);
382
383	penpos1 (1.5 stemthickness, angle (z2 - z1) - 90);
384	penpos2 (1.5 stemthickness, angle (z2 - z1) - 90);
385
386	fill z1l
387	     -- z2l
388	     .. top z2
389	     .. rt z2
390	     .. z2r
391	     -- z1r
392	     .. bot z1
393	     .. lft z1
394	     .. cycle;
395
396	y_mirror_char;
397fet_endchar;
398
399
400fet_beginchar ("16th (down)", "d4");
401	save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
402	save flagspace, total_depth, flag_count;
403
404	flag_count = 2;
405	flare = .8 staff_space;
406	flagspace# = .9 staff_space#;
407	hip_depth_ratio = .85;
408	hip_width# = downflag_width# - hip_thickness# / 2;
409	total_depth# = 3.0 staff_space# - blot_diameter# / 2;
410	foot_width_ratio = .95;
411
412	(flag_count - 1) * flagspace# + foot_depth# = total_depth#;
413
414	set_char_box (0, hip_width# + right_downflag_space#,
415		      total_depth# + foot_thickness# / 2, stemthickness# / 2);
416
417	define_pixels (hip_width, foot_depth);
418	define_whole_vertical_pixels (flagspace);
419
420	draw_flag ((0, -(flag_count - 1) * flagspace), flare,
421		   (hip_width, foot_depth),
422		   hip_depth_ratio, foot_width_ratio,
423		   hip_thickness, foot_thickness, 0);
424
425	add_flag (flagspace, flare, .95, 1.00, 1.25,
426		  hip_thickness, foot_thickness);
427
428	draw_square_block ((-0.5 stemthickness_rounded, 0),
429			   (0, -2 staff_space_rounded));
430
431	y_mirror_char;
432fet_endchar;
433
434
435fet_beginchar ("32nd (down)", "d5");
436	save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
437	save flagspace, total_depth, flag_count;
438
439	flag_count = 3;
440	flare = .84 staff_space;
441	flagspace# = .9 staff_space#;
442	hip_depth_ratio = .85;
443	hip_width# = downflag_width# - hip_thickness# / 2;
444	total_depth# = 3.85 staff_space#;
445	foot_width_ratio = .95;
446
447	(flag_count - 1) * flagspace# + foot_depth# = total_depth#;
448
449	define_pixels (hip_width, foot_depth);
450	define_whole_vertical_pixels (flagspace);
451
452	set_char_box (0, hip_width# + right_downflag_space#,
453		      total_depth# + foot_thickness# / 2, stemthickness# / 2);
454
455	draw_flag ((0, -(flag_count - 1) * flagspace), flare,
456		   (hip_width, foot_depth),
457		   hip_depth_ratio, foot_width_ratio,
458		   hip_thickness, foot_thickness, 0);
459
460	add_flag (flagspace, flare, .97, 1.00, 1.25,
461		  hip_thickness, foot_thickness);
462	add_flag (flagspace, flare, .95, 1.05, 1.25,
463		  hip_thickness, foot_thickness);
464
465	draw_square_block ((-0.5 stemthickness_rounded, 0),
466			   (0, -3 staff_space_rounded));
467
468	y_mirror_char;
469fet_endchar;
470
471
472fet_beginchar ("64th (down)", "d6");
473	save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
474	save flagspace, total_depth, flag_count;
475
476	flag_count = 4;
477	flare = .8 staff_space;
478	flagspace# = .9 staff_space#;
479	hip_depth_ratio = .85;
480	hip_width# = downflag_width# - hip_thickness# / 2;
481	total_depth# = 4.35 staff_space#;
482	foot_width_ratio = .98;
483
484	(flag_count - 1) * flagspace# + foot_depth# = total_depth#;
485
486	define_pixels (hip_width, foot_depth);
487	define_whole_vertical_pixels (flagspace);
488
489	set_char_box (0, hip_width# + right_downflag_space#,
490		      total_depth# + foot_thickness# / 2, stemthickness# / 2);
491
492	draw_flag ((0, -(flag_count - 1) * flagspace), flare,
493		   (hip_width, foot_depth),
494		   hip_depth_ratio, foot_width_ratio,
495		   hip_thickness, foot_thickness, 0);
496
497	add_flag (flagspace, flare, .97, 1.20, 1.175,
498		  hip_thickness, foot_thickness);
499	add_flag (flagspace, flare, .97, 1.10, 1.175,
500		  hip_thickness, foot_thickness);
501	add_flag (.98 flagspace, flare, .91, 1.05, 1.2,
502		  hip_thickness, foot_thickness);
503
504	draw_square_block ((-0.5 stemthickness_rounded, 0),
505			   (0, -4 staff_space_rounded));
506
507	y_mirror_char;
508fet_endchar;
509
510
511fet_beginchar ("128th (down)", "d7");
512	save flare, hip_depth_ratio, hip_width, foot_depth, foot_width_ratio;
513	save flagspace, total_depth, flag_count;
514
515	flag_count = 5;
516	flare = .8 staff_space;
517	flagspace# = .9 staff_space#;
518	hip_depth_ratio = .85;
519	hip_width# = downflag_width# - hip_thickness# / 2;
520	total_depth# = 5.25 staff_space#;
521	foot_width_ratio = .98;
522
523	(flag_count - 1) * flagspace# + foot_depth# = total_depth#;
524	define_pixels (hip_width, foot_depth);
525	define_whole_vertical_pixels (flagspace);
526
527	set_char_box (0, hip_width# + right_downflag_space#,
528		      total_depth# + foot_thickness# / 2, stemthickness# / 2);
529
530	draw_flag ((0, -(flag_count - 1) * flagspace), flare,
531		   (hip_width, foot_depth),
532		   hip_depth_ratio, foot_width_ratio,
533		   hip_thickness, foot_thickness, 0);
534
535	add_flag (flagspace, flare, .97, 1.20, 1.175,
536		  hip_thickness, foot_thickness);
537	add_flag (flagspace, flare, .97, 1.10, 1.175,
538		  hip_thickness, foot_thickness);
539	add_flag (.98 flagspace, flare, .91, 1.05, 1.2,
540		  hip_thickness, foot_thickness);
541	add_flag (.98 flagspace, flare, .91, 1.05, 1.2,
542		  hip_thickness, foot_thickness);
543
544	draw_square_block ((-0.5 stemthickness_rounded, 0),
545			   (0, -5 staff_space_rounded));
546
547	y_mirror_char;
548fet_endchar;
549
550fet_endgroup ("flags");
551