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1
2 % feta-klef.mf --  implement Clefs
3
4 % source file of the Feta (Font-En-Tja) music font
5
6 % (c) 1997 Han-Wen Nienhuys <hanwen@stack.nl>,
7 % Jan Nieuwenhuizen <jan@digicash.com>
8
9
10
11
12 fet_begingroup("clefs");
13
14 %
15 % [Ross] says that clefs take 1 interline space on the left and right
16 %
17 def set_horizontal_spacing =
18         save left_space ,right_space;
19         left_space# = reduced_il#;
20         right_space# = reduced_il#;
21 enddef;
22
23 def draw_staff(expr first, last)=
24         pickup pencircle scaled stafflinethickness;
25         for i:= first step 1 until last:
26                 draw (- interline, i* interline) .. (4 interline, i* interline);
27         endfor
28         enddef;
29
30 % [Wanske] says the bulbs should be positioned about 1/4 right of the
31 % "arrow"
32 def draw_c_clef (expr reduction) = 
33         save hair, norm, reduced_il, right_edge;
34         reduced_il#=interline#*reduction;
35         norm#:=2/3reduced_il#;
36         hair#:=1/6norm#;
37
38         set_horizontal_spacing;
39         right_edge# = 15/4norm#+2hair#;
40
41         set_char_box (left_space#, right_edge# + right_space#, 
42                 2 reduced_il#, 2 reduced_il#);
43         define_pixels (hair,norm,reduced_il, right_edge);
44
45         draw_block ((0,-d), (3/4norm+1/2hair,h));
46         draw_block ((3/4norm+2hair,-d), 
47                 (3/4norm+7/2hair,h));
48         
49         save xoff;
50         xoff=3/4norm+7/2hair;
51         penpos1(hair,-90);
52         z1l=(xoff+norm+hair,h);
53         penpos2(norm-3/2hair,180);
54         z2l=(right_edge,h/2);
55         penpos3(hair,90);
56         z3=(((right_edge -xoff)/2)+xoff,2hair);
57
58         penpos4(hair,0);
59         z4=(xoff+1/2norm+1/2hair,reduced_il-hair);
60         
61         penpos5(4hair,0);
62         z5=(xoff+5/4hair,0);
63
64         penpos6(norm-hair,90);
65         z6=(xoff+3/4norm,0);
66
67         penpos7(hair,-90);
68         z7r=(x1,-d);
69
70         save t; t=0.833;
71         save p; path p;
72         p = z5l..z4l{up}..z4r{down}..z3r{right}..tension t..z2r{up}
73                 ..tension t..z1r{left}..z1l{right}..tension t..z2l{down}
74                 ..z3l{left}..z6r..z5r{down};
75         pickup pencircle scaled 1pt#;
76         filldraw p..(reverse p yscaled -1)..cycle;
77         penlabels (1,2,3,4,5,6);
78
79         % ugh, should be bulb, not flare?
80         draw_flare(z1l,180,90,hair,norm-1/2hair);
81         draw_flare(z7r,180,-90,hair,norm-1/2hair);
82         enddef;
83
84 fet_beginchar ("C clef", "alto", "altoclef")
85         if test = 1:
86                 draw_staff (-2,2);
87         fi;
88         draw_c_clef (1.0);
89 fet_endchar;
90
91 fet_beginchar ("C clef", "alto_change", "caltoclef")
92         if test = 1:
93                 draw_staff (-2,2);
94         fi;
95         draw_c_clef (.8);
96 fet_endchar;
97
98 %
99 % Inspired by Baerenreiter and Breitkopf
100
101 % FIXME: dims
102 % FIXME: right vertical tangent seems to be lower than the F-line
103 % FIXME: bulb curve smoothly into "long curve" on the  inside
104 %
105 %
106 % [Wanske] says that the extreme x point should be exactly between 
107 % the dots, but her picture shows that the extreme is ~ 0.2 ss lower
108
109 def draw_bass_klef(expr exact_center, reduction) = 
110         save reduced_il, left_tilt, left_thick, ball_to_right;
111         reduced_il# = interline# * reduction;
112         
113         set_horizontal_spacing;
114         ball_to_right# = 2.1 reduced_il#;
115         set_char_box(left_space# +
116                 - xpart exact_center,
117                 right_space# +
118                 xpart exact_center + ball_to_right#, 
119                 - ypart exact_center + 2.5 reduced_il#, 
120                 ypart exact_center +reduced_il#);
121
122         define_pixels(reduced_il, ball_to_right);
123         left_tilt = 5;
124         left_thick = .25  reduced_il;
125
126         x1r - x1l = left_thick;
127         z1l = (hround_pixels(xpart exact_center), 
128                 vround_pixels(ypart exact_center));
129
130         y2 = reduced_il;
131
132         x3l - x1l =  ball_to_right;
133         x2 = .5 [x1,x3];
134         x3l - x3r = .48 reduced_il;
135         y3l = -0.05 interline;
136         x4 = x1l - stafflinethickness;
137         y4 = -2.2  reduced_il;
138         z5 = (x3l +  1/3 reduced_il, .5 reduced_il);
139
140         penpos1(whatever, left_tilt);
141         penpos2(1.2 stafflinethickness, -90);
142         penpos3(whatever,  185);
143         penpos4(stafflinethickness, 135);
144
145         draw_bulb(1, z1r,  z1l, .45 reduced_il, 1.0);
146
147
148         fill z1r{up} .. z2r{right} .. tension 1.0 .. z3r{down}  .. {curl 0} 
149                 simple_serif(z4r, z4l, 90) {curl 0}
150                 .. z3l{up} .. tension 0.9 .. z2l{left} 
151                 .. z1l{dir (-90 + left_tilt)} -- cycle;
152         labels(2,4);
153         penlabels(1,2,3,4);
154
155         save dot_diam;
156         2 dot_diam = reduction* (interline - stafflinethickness);
157         pickup pencircle scaled dot_diam;
158         draw z5;
159         draw z5 yscaled -1;
160 enddef;
161
162
163
164 fet_beginchar("F clef ", "bass", "bassclef")
165         if test = 1:
166                 draw_staff(-3,1);
167         fi;
168         draw_bass_klef((.5 interline#, 0), 1.0);
169 fet_endchar;
170 fet_beginchar("F clef (reduced)", "bass_change", "cbassclef")
171         draw_bass_klef((.4 interline#, 0),0.8);
172 fet_endchar;
173
174
175
176 %
177 % Inspired by Baerenreiter
178
179 % FIXME top should be thinner at z8,
180 % FIXME bulb should curve (see bass clef)
181 % FIXME start (inside) should be little thinner
182 % FIXME parametrise.
183 %
184
185 % Beste lezers, kijk,
186 %
187 % Een bolletje  hebben we bij toeval allemaal wel eens getekend, maar begint u
188 % toch eenvoudig.   Eerst een eenvoudig kruis of herstellingsteken
189 % en via de dubbelslag naar een voorzichtig vlaggetje, en heb geduld!
190 % Ikzelf heb bijvoorbeeld over mijn eerste gave G-sleutel
191 % 35 kilobyte metafont, 12 patchlevels, 0 vriendinnen en 45 dagen gedaan
192 %
193 def draw_gclef (expr exact_center, reduction)=
194         save reduced_il, downstroke_dir, downstroke_angle, hair, center;
195         save breapth_factor, inner_thick_end, thinness, thickness, thinnib;
196         save inner_start_angle, thinness, thinpen;
197         reduced_il# = interline# * reduction;
198         define_pixels(reduced_il);
199         pair downstroke_dir, center;
200
201         center := (hround_pixels(xpart exact_center), 
202                 vround_pixels(ypart exact_center));
203
204         hair =  .3 stafflinethickness;
205         thinness = 1.3 stafflinethickness;
206         downstroke_dir = (14, -75);
207         breapth_factor = 11/7;
208         inner_thick_end = 45;
209         inner_start_angle = downstroke_angle - 43;
210         thickness = .4 reduced_il - hair;
211
212         thinnib = thinness - hair;
213         thinpen = thinness;
214         set_horizontal_spacing;
215         
216         set_char_box(
217                 left_space# +
218                 -xpart exact_center + 1.0 * breapth_factor* reduced_il#, 
219                 right_space# +
220                 xpart exact_center + .66 breapth_factor* reduced_il#,
221                 -ypart exact_center + 3 * reduced_il#,
222                 ypart exact_center + 5 * reduced_il#);
223         
224         pickup pencircle scaled hair;
225         downstroke_angle = angle downstroke_dir;
226
227         z1 = center + whatever * dir (inner_start_angle);
228         x1 = xpart center -.28 reduced_il;
229         
230         top z2r = center + (0,reduced_il + stafflinethickness/2);
231         
232         x4 = xpart center - .1 reduced_il;
233         bot y4r = -(reduced_il + .5 stafflinethickness);
234
235         z3 = (z4 - center) rotated inner_thick_end + center;
236         
237         z5r = (- breapth_factor, .37)* reduced_il + center;
238         penpos5(thickness, 135);
239
240         z6 = center + whatever * downstroke_dir;
241         y6 = ypart center + 2 reduced_il;
242
243         z7l - z6 = whatever *(z5- z6) ;
244         y7l = 3.5 reduced_il;
245         z8r = .4 [z9r, z7r] + 1.5 stafflinethickness * dir 52;
246
247         x9 = .7 [x10, x7r];
248         top y9l = 5 reduced_il;
249
250         y10 = 3. reduced_il;
251         y11 = -11/7 reduced_il;
252
253         y12 = ypart center - 18.5/7 reduced_il;
254         x12 = x11 - 5 /7 reduced_il;    
255
256         z13 = z12 + .6 reduced_il*(-1,1);
257
258         (z10r - z10l) dotprod (unitvector downstroke_dir rotated 90) = 
259                 thinnib;
260
261         center - z10= whatever * downstroke_dir;
262         center - z11 =  whatever * downstroke_dir;
263
264         penpos1(thinnib, inner_start_angle);
265         penpos2(thickness, 90);
266         penpos3(thinnib, -90 + inner_thick_end);
267         penpos4(thinnib, -90);
268
269
270         penpos7(thickness, 135);
271         penpos8(1.5 thinnib, - 70 + angle downstroke_dir);
272         penpos9(1.4 thickness, -80);  % ugh
273         penpos10(whatever, downstroke_angle + 10);
274         penpos11(thinnib, downstroke_angle + 90);
275         penpos12(thinnib, -90);
276         penpos13(3 thinnib, 180);
277
278         
279         filldraw z2l{right}   .. z3l.. z4l{left} .. z5l{up}  .. z7l{up} 
280                 %.. z8l 
281                 .. tension 1.2 
282                 .. z9l & z9l ..
283                 {downstroke_dir}z10l --- z11l -- z11r --- z10r{- downstroke_dir} 
284                 .. tension .8 
285                 .. z9r & z9r{dir (downstroke_angle+ 40)} % ugh
286                 %.. z8r
287                 .. z7r{down} .. z5r{down} .. z4r{right}
288                 .. z3r .. z2r{left} .. 
289                 tension .95 .. 
290                 z1r -- z1l 
291                 .. tension 0.85 ..cycle;
292
293         filldraw simple_serif(z1r, z1l, 90)  -- cycle;
294
295         filldraw z12r{left} .. z13r{up} -- z13l{down} .. z12l{right} .. cycle;
296
297         draw_bulb(-1,  z13l, lft z13r, 6/14 reduced_il, 1.0);
298
299         pickup pencircle scaled (thinpen);
300         draw z10 --- z11 .. z12{left};
301
302         penlabels(range 1 thru 15);
303 enddef;
304
305
306 fet_beginchar("G clef", "violin", "violinclef")
307         if test = 1:
308                 draw_staff(-1,3);
309         fi;
310         draw_gclef((1.7 interline#,0), 1.0);
311 fet_endchar;
312 fet_beginchar("G clef", "violin_change", "cviolinclef")
313         draw_gclef((1.3 interline#,0), .8);
314 fet_endchar;
315
316 fet_endgroup("clefs");