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1 % flags 
2 %
3
4
5 fet_begingroup("flags")
6 save outer_path;
7 path outer_path;
8 % Flags pointing down overlap with  the notehead (in x-direction), so 
9 % the down-flag can be bigger
10 upflag_width# = .750 black_notehead_width# + stemthickness#/2;
11 downflag_width# = .833 black_notehead_width# + stemthickness#/2;
12
13 right_upflag_space# = .2 upflag_width#;
14 right_downflag_space# = .2 downflag_width#;
15
16 %
17 % Flags pointing down cannot overlap with the notehead in y-direction,
18 % so they have less slant.
19
20 %
21 % Because of optical illusion, the utmost flag (bottom for
22 % down-pointing, top for up-pointing) should be smaller than the other
23 % flags.  Adobe Sonata doesn't do this correctly.  (Instead they have an 
24 % extension flag. Yuck)
25 %
26
27 save hip_thickness, foot_thickness;
28 hip_thickness# = 1.3 stemthickness#;
29 foot_thickness# =  hip_thickness#;
30
31 %
32 % Inspired by Adobe Sonata and [Wanske]
33 % for example, see POSTSCRIPT Language -- program design, 
34 % page 119, and [Wanske], p 41,42
35 %
36 def draw_flag(expr center, flare, 
37         dims, hip_depth, foot_wid, hip_thickness, foot_thickness)=
38         clearxy;
39
40         penpos1(flare, 90);
41         penpos2(whatever, 0);
42         x2r - x2l = hip_thickness;
43         penpos3(foot_thickness, 0) ;
44
45         z1r  = center;
46         z2r = center + (xpart dims, -ypart(dims) * hip_depth);
47         z3r = center + (xpart(dims) * foot_wid, -ypart dims);
48
49         outer_path := z3r{curl 0} .. z2r{up} .. {up}z1r;
50
51         penlabels(1, 2, 3);
52         fill z1l{curl 0}
53                 ..tension 1.1 .. z2l{down} .. 
54                 {curl 0} simple_serif(z3l, z3r, 80) &
55                 outer_path & z1r -- cycle;
56 enddef;
57
58 %
59 % TODO: calc intersectpoint
60 % TODO: calc incision_depth
61
62 def add_flag(expr yoff, flare, hip_wid_multiplier, 
63                 hip_dep_multiplier,
64                 intersectpoint, hip_thickness, foot_thickness) =
65         begingroup
66         save prev_center, prev_xextreme, prev_yextreme;
67         save rel_foot, ip, center, incision_depth;
68         save prev_hipwid, prev_footdep, prev_hipdep, wid, dep, hip_dep;
69         save hip_dep_ratio, foot_wid_ratio;
70         pair prev_center, center, foot, prev_xextreme, prev_yextreme;
71         pair ip, rel_foot;
72         
73         incision_depth = 1.013;
74         prev_center = point 2 of outer_path;
75         prev_xextreme = point 1 of outer_path;
76         prev_yextreme = point 0 of outer_path;
77         prev_hipwid = xpart (prev_xextreme - prev_center);
78         prev_footdep = -ypart (prev_yextreme - prev_center);
79         prev_hipdep = -ypart(prev_xextreme - prev_center);
80         ip = point intersectpoint of outer_path;
81
82         wid = prev_hipwid * hip_wid_multiplier;
83         hip_dep = prev_hipdep * hip_dep_multiplier;
84
85         center = prev_center + (0,yoff);
86         rel_foot = incision_depth [(wid, hip_dep), ip - center];
87         dep = -ypart(rel_foot);
88         foot_wid_ratio = xpart(rel_foot ) / wid;
89         hip_dep_ratio = hip_dep / dep;
90
91         draw_flag(center, flare, 
92                 (wid, dep), hip_dep_ratio, foot_wid_ratio, 
93                 hip_thickness, foot_thickness);
94         endgroup
95 enddef;
96
97 fet_beginchar("8th Flag (up)", "u3", "eighthflag")
98         save flare, 
99                 hip_depth_ratio, hip_width,
100                 foot_depth, foot_width_ratio;
101
102         flare# = 1.0 interline#;
103         hip_depth_ratio = .72; 
104         foot_width_ratio = .8;
105         hip_width# = upflag_width# - hip_thickness#/2;
106
107         foot_depth# =  3 interline#;
108
109         set_char_box(stemthickness# /2, hip_width# 
110                 + stemthickness#/2 + right_upflag_space#, 
111                  foot_depth# + foot_thickness#/2, stemthickness#/2)
112
113         define_pixels(flare, hip_width, hip_thickness,
114                 foot_depth, foot_thickness);
115         draw_flag((stemthickness/2,0), flare, 
116                 (hip_width, foot_depth), 
117                 hip_depth_ratio, foot_width_ratio, hip_thickness, foot_thickness);
118
119         pickup pencircle scaled stemthickness;
120         draw (0, 0) .. (0,-2 interline);
121 fet_endchar;
122
123 fet_beginchar("16th Flag (up)", "u4", "sixteenthflag")
124         save flare, 
125                 hip_depth_ratio, hip_width,
126                 foot_depth, foot_width_ratio;
127         save flagspace, total_depth, flag_count;
128         total_depth# = 3.5 interline#;
129         flag_count = 2;
130         flare# = .85 interline#;
131         flagspace# = .85 interline#;    
132         hip_depth_ratio = .72 ;
133         hip_width# = upflag_width# - hip_thickness#/2;
134         flagspace# + foot_depth# = total_depth#;
135
136         foot_width_ratio = .8;
137
138         set_char_box(stemthickness# /2, hip_width#
139                 + stemthickness#/2 + right_upflag_space#, 
140                 total_depth# + foot_thickness#/2, stemthickness#/2)
141
142         define_pixels(flare, hip_width, hip_thickness,
143                 flagspace,
144                 foot_depth,  foot_thickness);
145         draw_flag((stemthickness/2,- flagspace), flare, 
146                 (hip_width, foot_depth), 
147                 hip_depth_ratio,foot_width_ratio, hip_thickness, foot_thickness);
148
149         add_flag(flagspace, flare,
150                 .97, 1.00, 1.25, hip_thickness, foot_thickness);  
151
152         pickup pencircle scaled stemthickness;
153         draw (0, 0) .. (0,-2 interline);
154 fet_endchar;
155
156
157 fet_beginchar("32nd Flag (up)", "u5", "thirtysecondflag")
158         save flare, 
159                 hip_depth_ratio, hip_width,
160                 foot_depth, foot_width_ratio;
161         save flagspace, total_depth, flag_count;
162         flag_count = 3;
163         total_depth#=4.25 interline#;
164         flare# = .85 interline#;
165         flagspace# = .87 interline#;    
166         hip_depth_ratio = .72 ;
167         hip_width# = upflag_width# - hip_thickness#/2;
168         (flag_count-1) * flagspace# + foot_depth# = total_depth#;
169
170         foot_width_ratio = .8;
171
172         set_char_box(stemthickness# /2, hip_width#
173                 + stemthickness#/2 + right_upflag_space#, 
174                 total_depth# + foot_thickness#/2, stemthickness#/2)
175
176         define_pixels(flare, hip_width, hip_thickness,
177                 flagspace,
178                 foot_depth,  foot_thickness);
179
180         draw_flag((stemthickness/2,- 2 flagspace), flare, 
181                 (hip_width, foot_depth), 
182                 hip_depth_ratio,foot_width_ratio, hip_thickness, foot_thickness);
183
184         add_flag(flagspace, flare,
185                 .97, 1.00, 1.25, hip_thickness, foot_thickness);  
186
187         add_flag(flagspace, flare,
188                 .95, 1.05, 1.25, hip_thickness, foot_thickness);  
189
190         pickup pencircle scaled stemthickness;
191         draw (0, 0) .. (0,-2 interline);
192 fet_endchar;
193
194 fet_beginchar("64th Flag (up)", "u6", "sixtyfourthflag")
195         save flare, 
196                 hip_depth_ratio, hip_width,
197                 foot_depth, foot_width_ratio;
198         save flagspace, total_depth, flag_count;
199         
200         flag_count = 4;
201         flare# = .85 interline#;
202         flagspace# = .9 interline#;     
203         hip_depth_ratio = .72 ;
204         hip_width# = upflag_width# - hip_thickness#/2;
205         total_depth# = 5.25 interline#;
206         (flag_count-1) * flagspace# + foot_depth# = total_depth#;
207
208         foot_width_ratio = .8;
209
210         set_char_box(stemthickness# /2, hip_width#
211                 + stemthickness#/2 + right_upflag_space#, 
212                 total_depth# + foot_thickness#/2, stemthickness#/2)
213
214         define_pixels(flare, hip_width, hip_thickness,
215                 flagspace,
216                 foot_depth,  foot_thickness);
217
218         draw_flag((stemthickness/2,- (flag_count-1)* flagspace), flare, 
219                 (hip_width, foot_depth), 
220                 hip_depth_ratio,foot_width_ratio, hip_thickness, foot_thickness);
221
222         add_flag(flagspace, flare,
223                 .97, 1.00, 1.3, hip_thickness, foot_thickness);  
224
225         add_flag(flagspace, flare,
226                 1.00, 1.00, 1.25, hip_thickness, foot_thickness);  
227         add_flag(flagspace, flare,
228                 .95, 1.05, 1.25, hip_thickness, foot_thickness);  
229         pickup pencircle scaled stemthickness;
230         draw (0, 0) .. (0,-2 interline);
231 fet_endchar;
232
233 fet_beginchar("grace 8th Flag (up)", "u3grace", "graceeighthflag")
234         save flare, 
235                 hip_depth_ratio, hip_width,
236                 foot_depth, foot_width_ratio;
237
238         flare# = 1.0 interline#;
239         hip_depth_ratio = .72; 
240         foot_width_ratio = .8;
241         hip_width# = upflag_width# - hip_thickness#/2;
242
243         foot_depth# =  3 interline#;
244
245         set_char_box(hip_width# * hip_depth_ratio,
246           hip_width# + stemthickness#/2 + right_upflag_space#, 
247           foot_depth# + foot_thickness#/2, stemthickness#/2)
248
249         define_pixels(flare, hip_width, hip_thickness,
250                 foot_depth, foot_thickness);
251         draw_flag((stemthickness/2,0), flare, 
252                 (hip_width, foot_depth), 
253                 hip_depth_ratio, foot_width_ratio, hip_thickness, foot_thickness);
254
255         pickup pencircle scaled 1.5 stemthickness;
256         draw (0, 0) .. (0,-2 interline);
257         draw (-b ,-foot_depth * hip_depth_ratio) ..
258           (w, -flare);
259 fet_endchar;
260
261 fet_beginchar("8th (down)", "d3", "deighthflag")
262         save flare, 
263                 hip_depth_ratio, hip_width,
264                 foot_depth, foot_width_ratio;
265         save flagspace, total_depth, flag_count;
266         
267         flag_count = 1;
268         flare# = .99 interline#;
269         flagspace# = .9 interline#;     
270         hip_depth_ratio = .72 ;
271         hip_width# = downflag_width# - hip_thickness#/2;
272         total_depth# = 2.85 interline#;
273         (flag_count-1) * flagspace# + foot_depth# = total_depth#;
274
275         foot_width_ratio = .8;
276
277         set_char_box(stemthickness# /2, hip_width#
278                 + stemthickness#/2 + right_downflag_space#,
279                 total_depth# + foot_thickness#/2, stemthickness#/2)
280
281         define_pixels(flare, hip_width, hip_thickness,
282                 flagspace,
283                 foot_depth,  foot_thickness);
284
285         draw_flag((stemthickness/2,- (flag_count-1) *flagspace), flare, 
286                 (hip_width, foot_depth), 
287                 hip_depth_ratio,foot_width_ratio, hip_thickness, foot_thickness);
288
289
290         pickup pencircle scaled stemthickness;
291         draw (0, 0) .. (0,-2 interline);
292         y_mirror_char;
293 fet_endchar;
294
295 fet_beginchar("16th (down)", "d4", "dsixteenthflag")
296         save flare, 
297                 hip_depth_ratio, hip_width,
298                 foot_depth, foot_width_ratio;
299         save flagspace, total_depth, flag_count;
300         
301         flag_count = 2;
302         flare# = .8 interline#;
303         flagspace# = .9 interline#;     
304         hip_depth_ratio = .85 ;
305         hip_width# = downflag_width# - hip_thickness#/2;
306         total_depth# = 3.0 interline#;
307         (flag_count-1) * flagspace# + foot_depth# = total_depth#;
308
309         foot_width_ratio = .95;
310
311         set_char_box(stemthickness# /2, hip_width#
312                 + stemthickness#/2 + right_downflag_space#, 
313                 total_depth# + foot_thickness#/2, stemthickness#/2)
314
315         define_pixels(flare, hip_width, hip_thickness,
316                 flagspace,
317                 foot_depth,  foot_thickness);
318
319         draw_flag((stemthickness/2,- (flag_count-1) *flagspace), flare, 
320                 (hip_width, foot_depth), 
321                 hip_depth_ratio,foot_width_ratio, hip_thickness, foot_thickness);
322         add_flag(flagspace, flare,
323                 .95, 1.00, 1.25, hip_thickness, foot_thickness);  
324
325         
326
327         pickup pencircle scaled stemthickness;
328         draw (0, 0) .. (0,-2 interline);
329         y_mirror_char;
330 fet_endchar;
331
332 fet_beginchar("32nd (down)", "d5", "dthirtysecondflag")
333         save flare, 
334                 hip_depth_ratio, hip_width,
335                 foot_depth, foot_width_ratio;
336         save flagspace, total_depth, flag_count;
337         
338         flag_count = 3;
339         flare# = .84 interline#;
340         flagspace# = .9 interline#;     
341         hip_depth_ratio = .85 ;
342         hip_width# = downflag_width# - hip_thickness#/2;
343         total_depth# = 3.85 interline#;
344         (flag_count-1) * flagspace# + foot_depth# = total_depth#;
345
346         foot_width_ratio = .95;
347
348         set_char_box(stemthickness# /2, hip_width#
349                 + stemthickness#/2 + right_downflag_space#, 
350                 total_depth# + foot_thickness#/2, stemthickness#/2)
351
352         define_pixels(flare, hip_width, hip_thickness,
353                 flagspace,
354                 foot_depth,  foot_thickness);
355
356         draw_flag((stemthickness/2,- (flag_count-1) *flagspace), flare, 
357                 (hip_width, foot_depth), 
358                 hip_depth_ratio,foot_width_ratio, hip_thickness, foot_thickness);
359         add_flag(flagspace, flare,
360                 .97, 1.00, 1.25, hip_thickness, foot_thickness);  
361
362         add_flag(flagspace, flare,
363                 .95, 1.05, 1.25, hip_thickness, foot_thickness);  
364
365         
366
367         pickup pencircle scaled stemthickness;
368         draw (0, 0) .. (0,-2 interline);
369         y_mirror_char;
370 fet_endchar;
371 fet_beginchar("64th (down)", "d6", "dsixtyfourthflag")
372         save flare, 
373                 hip_depth_ratio, hip_width,
374                 foot_depth, foot_width_ratio;
375         save flagspace, total_depth, flag_count;
376         
377         flag_count = 4;
378         flare# = .8 interline#;
379         flagspace# = .9 interline#;     
380         hip_depth_ratio = .85 ;
381         hip_width# = downflag_width# - hip_thickness#/2;
382         total_depth# = 4.35 interline#;
383         (flag_count-1) * flagspace# + foot_depth# = total_depth#;
384
385         foot_width_ratio = .98;
386
387         set_char_box(stemthickness# /2, hip_width#
388                 + stemthickness#/2 + right_downflag_space#, 
389                 total_depth# + foot_thickness#/2, stemthickness#/2)
390
391         define_pixels(flare, hip_width, hip_thickness,
392                 flagspace,
393                 foot_depth,  foot_thickness);
394
395         draw_flag((stemthickness/2,- (flag_count-1) *flagspace), flare, 
396                 (hip_width, foot_depth), 
397                 hip_depth_ratio,foot_width_ratio, hip_thickness, foot_thickness);
398         add_flag(flagspace, flare,
399                 .97, 1.20, 1.175, hip_thickness, foot_thickness);  
400         add_flag(flagspace, flare,
401                 .97, 1.10, 1.175, hip_thickness, foot_thickness);  
402
403         add_flag(.98 flagspace, flare,
404                 .91, 1.05, 1.2, hip_thickness, foot_thickness);  
405
406         
407
408         pickup pencircle scaled stemthickness;
409         draw (0, 0) .. (0,-2 interline);
410         y_mirror_char;
411 fet_endchar;
412
413
414 fet_beginchar("grace 8th (down)", "d3grace", "dgraceeighthflag")
415         save flare, 
416                 hip_depth_ratio, hip_width,
417                 foot_depth, foot_width_ratio;
418         save flagspace, total_depth, flag_count;
419         
420         flag_count = 1;
421         flare# = .99 interline#;
422         flagspace# = .9 interline#;     
423         hip_depth_ratio = .72 ;
424         hip_width# = downflag_width# - hip_thickness#/2;
425         total_depth# = 2.85 interline#;
426         (flag_count-1) * flagspace# + foot_depth# = total_depth#;
427
428         foot_width_ratio = .8;
429
430         set_char_box(hip_width# * hip_depth_ratio,
431           hip_width# + stemthickness#/2 + right_downflag_space#,
432           total_depth# + foot_thickness#/2, stemthickness#/2)
433
434         define_pixels(flare, hip_width, hip_thickness,
435                 flagspace,
436                 foot_depth,  foot_thickness);
437
438         draw_flag((stemthickness/2,- (flag_count-1) *flagspace), flare, 
439                 (hip_width, foot_depth), 
440                 hip_depth_ratio,foot_width_ratio, hip_thickness, foot_thickness);
441
442
443         pickup pencircle scaled 1.5 stemthickness;
444         draw (0, 0) .. (0,-2 interline);
445         draw (-b, -foot_depth * hip_depth_ratio) .. (w,-flare);
446         y_mirror_char;
447 fet_endchar;
448
449 fet_endgroup("flags");