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(overdone_heads): fix stem attachments.
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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 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
187
188
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#,
193                                 (w /2, 0));
194
195 fet_endchar;
196
197 fet_beginchar("Half diamondhead", "1diamond", 
198         "halfdiamondhead")
199
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));
203
204 fet_endchar;
205
206 fet_beginchar("Quart diamondheadh", "2diamondh", "diamondheadh")
207         draw_outside_ellipse (1.80, 35, 0.495, -0.25);
208 fet_endchar;
209
210 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
211
212
213
214
215
216 def def_triangle =
217         save triangle,kern; path triangle;
218         save left_point, height, width;
219         pair exact_left_point;
220         save pen_thick;
221         pen_thick# = stafflinethickness#  + .1 staff_space#;
222         define_pixels(pen_thick);
223
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;
227
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));
232         z2 = z1 rotated 120;
233         z3 = z1 rotated 240;
234
235         z12 = caveness[.5[z1,z2],z3];
236         z23 = z12 rotated 120;
237         z31 = z12 rotated 240;
238         triangle = z1 .. z12 .. z2 ..
239                     z2 .. z23 .. z3 ..
240                     z3 .. z31 .. z1 ..
241                     cycle;
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#);
246 enddef;
247
248 fet_beginchar("Whole trianglehead", "0triangle", "wholetrianglehead")
249         save hei,xs;
250         save llap;
251         save tilt;
252
253         tilt = 40;
254         llap# = 3/4noteheight#;
255
256         xs = 1.5;
257         caveness:=0.1;
258         def_triangle;
259         draw triangle;
260 fet_endchar;
261
262 fet_beginchar("Half trianglehead", "1triangle", "halftrianglehead")
263         save hei,xs;
264         save llap;
265         save tilt;
266
267         tilt = 40;
268         llap# = 2/3noteheight#;
269         xs = 1.2;
270         caveness:=0.1;
271         def_triangle;
272         draw triangle;
273 fet_endchar;
274
275 fet_beginchar("Quart trianglehead", "2triangle", "trianglehead")
276         save hei,xs;
277         save llap;
278         save tilt;
279         tilt = 40;
280         llap# = 2/3noteheight#;
281         xs = 1.0;
282         caveness:=0.1;
283         def_triangle;
284         filldraw triangle;
285 fet_endchar;
286
287 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
288
289 def draw_slash(expr hwid_hash) =
290
291
292         set_char_box (0, staff_space# / slash_slope + hwid_hash,
293                         staff_space#/2 + stafflinethickness#/2,
294                         staff_space#/2 + stafflinethickness#/2);
295
296         charwx := charwd;
297         charwy := charht;
298
299         clearxy;
300         pickup pencircle scaled blot_diameter;
301
302         bot y1 = - d;
303         top y2 = h;
304         lft x1 = 0;
305         lft x2 = staff_space / slash_slope;
306         
307         rt x3 = w;
308         y3 = y2;
309         y4 = y1;
310         x3- x2 = x4 - x1;
311
312         filldraw z1 --- z2 --- z3 --- z4 --- cycle;
313
314         if hwid_hash > 2 slash_thick#:
315                 save th;
316
317                 th = slash_thick - blot_diameter;
318                 y6 = y7;
319                 y5 = y8;
320                 y3 - y7 = th;
321                 y5 - y1 = th;
322                 z6 - z5 = whatever * (1,  slash_slope);
323                 z8 - z7 = whatever * (1,  slash_slope);
324
325                 z5  = z1 + whatever * (1,  slash_slope) + (th, 0);
326                 z8  = z4 + whatever * (1,  slash_slope) + (-th, 0);
327
328                 unfill
329                         z5 -- z6 -- z7 -- z8 -- cycle;
330         fi
331         labels (range 1 thru 10);
332 enddef;
333
334 fet_beginchar("Whole slashhead","0slash","wholeslashhead")
335         draw_slash(2 slash_thick# + 0.5 staff_space#);
336 fet_endchar;
337
338 fet_beginchar("Half slashhead","1slash","halfslashhead")
339         draw_slash(2 slash_thick# + 0.15 staff_space#);
340 fet_endchar;
341
342 fet_beginchar("Quart slashhead","2slash","quartslashhead")
343         draw_slash(slash_thick#);
344 fet_endchar;
345
346 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
347
348 % thick is the distance between the NE/SW parallel lines in the cross
349 % (distance between centres of lines)
350 % in stafflinethickness def
351 %
352 def draw_cross(expr thick) =
353         save pent, slant, ne_dir;
354         pair ne_dir;
355         save crz; path crz;
356
357         pen_thick# := 1.2stafflinethickness#;
358         define_pixels (pen_thick);
359         pickup pencircle scaled pen_thick;
360
361         top y3 = h;
362         ne_dir := unitvector ((1, (2 h -pen_thick)/(w - pen_thick)));
363         rt x4 = w/2;
364         y5 = 0;
365         z4 - z5 = whatever * ne_dir;
366         x6 = 0;
367         z6 - z3 = whatever * ne_dir;
368         z3 - z4 = whatever * (ne_dir yscaled -1);
369
370         z4 - z3 = whatever * (ne_dir) + (ne_dir rotated -90) * thick * stafflinethickness;
371
372         x1 = charwd/2 - .5 pen_thick#;
373         z1 = whatever * ne_dir + thick/2 * stafflinethickness# * (ne_dir rotated -90);
374
375         
376         labels (1,2,3,4,5,6);
377
378         crz = (z6 -- z3 -- z4 -- z5) ;
379
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);
384
385         charwx := charwd;
386         charwy := y1;
387                 message (decimal charwx);
388                 message (decimal charwy);
389         z12 = (charwx * hppp, y1 * vppp);
390         labels (12);
391 enddef;
392
393 fet_beginchar("Whole Crossed notehead", "0cross", "wholecrossedhead")
394         wid# := black_notehead_width#+4stafflinethickness#;
395         hei# := noteheight#+stafflinethickness#;
396         set_char_box(0, wid#,hei#/2,hei#/2);
397         
398         draw_cross (3.75);
399 fet_endchar;
400
401 fet_beginchar("Half Crossed notehead", "1cross", "halfcrossedhead")
402         wid# := black_notehead_width#+2stafflinethickness#;
403         hei# := noteheight#+stafflinethickness#/2;
404         set_char_box(0, wid#,hei#/2,hei#/2);
405         draw_cross(3.0);
406 fet_endchar;
407
408 fet_beginchar("Crossed notehead", "2cross", "crossedhead")
409         wid# := black_notehead_width#;
410         hei# := noteheight#;
411         set_char_box(0, wid#,hei#/2,hei#/2);
412         draw_cross(1.0);
413 fet_endchar;
414
415 fet_beginchar("X-Circled notehead", "2xcircle", "xcircledhead")
416         wid# := black_notehead_width#*sqrt(sqrt2);
417         hei# := noteheight#*sqrt(sqrt2);
418         set_char_box(0, wid#,hei#/2,hei#/2);
419         cthick := (1.2+1/4)*stafflinethickness;
420         cxr := w/2-cthick/2;
421         cyr := h-cthick/2;
422         pickup pencircle scaled cthick;
423         draw fullcircle xscaled 2cxr yscaled 2cyr shifted (w/2,0);
424         xpos := cxr/sqrt2;
425         ypos := cyr/sqrt2;
426         draw (-xpos+w/2,-ypos) -- (xpos+w/2,ypos);
427         draw (-xpos+w/2,ypos) -- (xpos+w/2,-ypos);
428
429         charwx := charwd ; 
430         charwy := 0 ;
431
432         z12 = (charwx * hppp , charwy * vppp );
433         labels (12);
434 fet_endchar;
435
436
437
438 fet_endgroup("noteheads");
439
440 define_pixels(black_notehead_width);