1 % feta-klef.mf -- implement Clefs -*-Fundamental-*-
3 % part of LilyPond's pretty-but-neat music font
5 % source file of the Feta (not the Font-En-Tja) music font
7 % (c) 1997--2005 Han-Wen Nienhuys <hanwen@cs.uu.nl>,
8 % Jan Nieuwenhuizen <janneke@gnu.org>,
9 % Juergen Reuter <reuter@ipd.uka.de>
12 fet_begingroup ("clefs");
15 % [Wanske] says the bulbs should be positioned about 1/4 right of the
18 % TODO: The hair-curve at z6r looks a little awkward.
21 def draw_c_clef (expr reduction) =
22 save hair, norm, reduced_ss, right_edge;
25 reduced_ss# = staff_space# * reduction;
26 norm# := 2/3 reduced_ss#;
27 hair# := 0.06 reduced_ss# + 0.5 linethickness#;
28 right_edge# = 15/4 norm# + 2 hair#;
29 define_pixels (norm, reduced_ss, right_edge);
30 define_whole_vertical_blacker_pixels (hair);
32 set_char_box (0, right_edge#, 2 reduced_ss#, 2 reduced_ss#);
34 % make unreduced glyph fit exactly into five staff lines
36 h := d := 2 staff_space_rounded;
39 % assure that the gap between the left and right stem
40 % has the same number of pixels as the thickness of the right
42 draw_block ((0, -d + feta_shift),
43 (3/4 norm + 1/2 hair, h));
44 draw_block ((3/4 norm + 1/2 hair + hround (3/2 hair), -d + feta_shift),
45 (3/4 norm + 1/2 hair + 2 hround (3/2 hair), h));
52 xoff = 3/4 norm + 1/2 hair + 2 hround (3/2 hair);
53 z5l = (xoff - 3/4 hair, 0);
56 penpos1 (hair - pen_top - pen_bot, -90);
57 top z1l = (xoff + norm + hair, h);
59 penpos2 (hround (norm - 3/2 hair) - pen_lft - pen_rt, 180);
62 penpos3 (hair - pen_top - pen_bot, 90);
63 bot z3l = ((right_edge - xoff) / 2 + xoff,
64 vround (.5 norm - 1.5 hair));
66 penpos4 (hair - pen_lft - pen_rt, 0);
67 top z4 = (xoff + 1/2 norm + 1/2 hair,
68 vfloor (reduced_ss - linethickness - .2 hair));
70 bot z6 = (xoff + 3/4 norm, vround (.5 norm - .5 hair));
83 ..tension t.. flare_path (top z1l, 180, 90,
84 hair, hfloor (norm - 1/2 hair), -1)
85 ..tension t.. z2l{down}
90 filldraw pat shifted (0, feta_shift)
91 -- reverse pat yscaled -1 shifted (0, -feta_eps)
94 penlabels (1, 2, 3, 4, 5, 6);
96 % ugh, should be bulb, not flare?
98 draw_staff (-2, 2, 0);
102 fet_beginchar ("C clef", "C");
107 fet_beginchar ("C clef", "C_change");
115 % Insert a brushed piece of the path, and draw the rest of the bulb
118 % The bulb has circular form. Neat merging of the bulb and brushed path
119 % is done by playing with tension.
122 def new_bulb (expr start_point, start_angle,
124 end_point, end_angle,
125 big_radius, bulb_radius, flare,
126 direction, turning_dir) =
128 save pat, before, after;
131 path pat, before, after;
136 center = outer_tangent_point
137 + big_radius * dir (0)
138 + (big_radius - bulb_radius) * dir (-turning_dir * 90);
140 z1' = center + bulb_radius * dir (turning_dir * 180);
141 z2' = outer_tangent_point + flare * dir (0);
142 z3' = center + bulb_radius * dir (0);
143 z4' = center + bulb_radius * dir (turning_dir * 90);
145 labels (1', 2', 3', 4');
147 before := z3'{dir (turning_dir * 90)}
150 after := z2'{dir (turning_dir * 90)}
151 .. end_point{dir (end_angle)};
152 (u, v) = before intersectiontimes after;
154 pat := start_point{dir (start_angle)}
155 .. outer_tangent_point{dir (-turning_dir * 90)}
156 ..tension 0.97.. subpath (0, u) of before
157 .. subpath (v, infinity) of after;
169 % There is some variation in the shape of bass clefs.
171 % * In some clefs the size of the swoosh tip almost reaches the
172 % bottom staff line; in some it crosses the 2nd line from the bottom
173 % with a small overshoot.
175 % The most popular design is where the X part of the tip is aligned
176 % with the left bulb boundary, and the Y part ends on the 2nd
177 % staffline exactly. This is what we do.
179 % * The diameter of the bulb is the width of the open space.
181 % * The vertical center of the bulb can be on or slightly above the
184 % * The vertical position of the dots can be symmetrical around the
185 % staffline, centered in the staff space. The Baerenreiter SCS has
186 % the bottom dot raised by approximately 0.1 staff space.
188 % * Uncarefully set music may have overshoots at the top. We have none.
190 % * It is not exactly clear where the vertical tangent at the right
191 % of the swoosh should be.
194 def draw_bass_clef (expr exact_center, reduction) =
195 save reduced_ss, swoosh_width;
196 save right_thickness, right_offset, tip_protude;
197 save dot_diam, bulb_y_offset, bulb_flare;
200 reduced_ss# = staff_space# * reduction;
201 2.2 dot_diam# = reduction * (staff_space# - stafflinethickness#);
202 right_thickness# = 0.37 staff_space# + 1.2 linethickness#;
203 swoosh_width# = 2.1 reduced_ss#;
204 define_pixels (swoosh_width);
205 define_whole_pixels (reduced_ss);
206 define_whole_blacker_pixels (dot_diam, right_thickness);
208 right_offset = 0.05 staff_space;
209 bulb_y_offset := 0.15 staff_space;
210 bulb_flare := 2.5 linethickness;
211 % tip_protude := (-linethickness, -.2 staff_space);
212 tip_protude := (0, 0);
214 set_char_box (-xpart exact_center,
215 xpart exact_center + swoosh_width# + 7/12 reduced_ss#,
216 -ypart exact_center + 2.5 reduced_ss#,
217 ypart exact_center + reduced_ss#);
225 y2l := vround_pixels (reduced_ss# + 0.5 linethickness#);
226 y2l - y2r = linethickness;
228 x3l - x1 = swoosh_width;
229 x3l - x3r = right_thickness;
231 % optical correction: the top dot seems farther away if y3l = 0.
234 z4 = -(0, 2.0 reduced_ss) + tip_protude;
236 penpos3 (whatever, 185);
237 penpos4 (linethickness, 135);
239 fill new_bulb (z2l, 180, z1, z2r, 0,
240 0.45 reduced_ss, 0.4 reduced_ss,
243 .. {curl 0}simple_serif (z4r, z4l, 90){curl 0}
245 ..tension 0.9.. cycle;
247 pickup pencircle scaled dot_diam;
249 lft x5 = hround (x3l + 1/3 reduced_ss - dot_diam / 2);
250 bot y5 = vfloor (.5 reduced_ss - dot_diam / 2);
254 y5 := y5 + feta_shift;
259 penlabels (1, 2, 3, 4, 5, 6);
261 draw_staff (-3, 1, 0);
265 fet_beginchar ("F clef ", "F");
266 draw_bass_clef ((0, 0), 1.0);
270 fet_beginchar ("F clef (reduced)", "F_change");
271 draw_bass_clef ((0, 0), 0.8);
277 % Inspired by Baerenreiter
280 % Beste lezers, kijk,
282 % Een bolletje hebben we bij toeval allemaal wel eens getekend, maar begint u
283 % toch eenvoudig. Eerst een eenvoudig kruis of herstellingsteken
284 % en via de dubbelslag naar een voorzichtig vlaggetje, en heb geduld!
285 % Ikzelf heb bijvoorbeeld over mijn eerste gave G-sleutel
286 % 35 kilobyte metafont, 12 patchlevels, 0 vriendinnen en 45 dagen gedaan
288 % -- vrij naar Van Kooten & De Bie
291 def debugfill = fill enddef;
293 def draw_gclef (expr reduction) =
294 save reduced_ss, downstroke_dir, downstroke_angle, center;
295 save breapth_factor, inner_thick_end, thinness, thickness, thinnib;
296 save start_angle, inner_start_angle, thinness;
297 save upward_swoosh_angle, bot_angle;
300 pair downstroke_dir, center;
302 reduced_ss# = staff_space# * reduction;
303 define_pixels (reduced_ss);
305 thinness = 0.08 staff_space + 0.7 linethickness;
306 downstroke_dir = unitvector (14, -75);
307 downstroke_angle = angle downstroke_dir;
308 bot_angle = -180; % downstroke_angle - 87
310 upward_swoosh_angle = 132;
313 breapth_factor = 21.0 /14;
314 inner_thick_end = 45;
315 inner_start_angle = downstroke_angle - 43;
316 thickness = .32 reduced_ss + 1.1 linethickness;
320 set_char_box (0, 1.71 * breapth_factor * reduced_ss#,
321 2.6 * reduced_ss#, 5 * reduced_ss#);
323 center := (breapth_factor * reduced_ss, 0);
325 z1 = center + whatever * dir (inner_start_angle);
326 x1 = xpart center - .28 reduced_ss;
327 penpos1 (thinnib, inner_start_angle);
330 y2r = vround_pixels (reduced_ss# + .5 stafflinethickness#);
331 penpos2 (thickness, 90);
333 z3 = (z4 - center) rotated inner_thick_end + center;
334 penpos3 (thinnib, -90 + inner_thick_end);
336 x4 = xpart center - .1 reduced_ss;
337 y4r = -y2r + feta_shift;
338 penpos4 (thinnib, -90);
340 x5r = -breapth_factor * reduced_ss + xpart center;
341 y5r = .37 reduced_ss + ypart center;
342 penpos5 (thickness, upward_swoosh_angle);
344 z6 = center + whatever * downstroke_dir;
345 y6 = ypart center + 2 reduced_ss;
346 % penpos6 is computed later
348 z7l - z6 = whatever * (z5 - z6) ;
349 y7l = 3.5 reduced_ss;
350 penpos7 (thickness, upward_swoosh_angle);
353 top y9l = 5 reduced_ss;
354 penpos9 (1.45 thickness, -70);
356 x11 - x13r = 1.5 reduced_ss + 0.5 thinnib;
357 y11 = ypart center - 47/28 reduced_ss;
358 y12 = ypart center - 71/28 reduced_ss;
359 y13 = .48 [y12, y4r];
360 x12r = xpart (.45 [z13r, z11] + .75 reduced_ss * downstroke_dir);
362 % z10 = center + whatever * dir (downstroke_angle - 1.5);
363 x10 = x6 - 2 thinnib;
364 y10 = ypart center + 3.5 reduced_ss;
365 y10l - y10r = 1.2 thickness;
366 z10r - z10l = .7 thinnib * dir (downstroke_angle + 90)
367 + whatever * downstroke_dir;
368 z10 = .5 [z10l, z10r];
369 z11 = center + whatever * downstroke_dir + (0 reduced_ss, 0);
371 penpos11 (thinnib, start_angle + 90);
372 penpos12 (thinnib, bot_angle + 90);
373 penpos13 (thinnib + 0.14 staff_space, 180);
375 % this auxiliary point ensures good contour overlapping
376 z8 = .5 [z9l, z9r] + .25 ((z9r - z9l) rotated -90);
385 -- z9r % {dir (downstroke_angle + 0)}
386 ..tension 0.8.. z7r{down}
392 -- simple_serif (z1r, z1l, 80)
394 ..tension 0.85.. cycle;
398 .. z11{dir (start_angle)};
400 penpos6 (thinnib, angle (direction 1 of pat) + 90);
402 % two auxiliary points to simulate `draw' with `penstroke'
403 z10' = point 0.5 of pat;
404 penpos10' (thinnib, angle (direction 0.5 of pat) + 90);
405 z11' = point 1.5 of pat;
406 penpos11' (thinnib, angle (direction 1.5 of pat) + 90);
414 .. z12e{dir (bot_angle)};
416 fill new_bulb (z12r, bot_angle, z13r, z12l, bot_angle + 180,
417 0.45 reduced_ss, 0.38 reduced_ss,
418 thinnib + .15 staff_space, 1, -1)
421 penlabels (range 1 thru 16);
422 penlabels (10', 11');
424 draw_staff (-1, 3, 0);
428 fet_beginchar ("G clef", "G");
433 fet_beginchar ("G clef", "G_change");
444 % The percussion clef extent is not coincident with its bbox, since
445 % the percussion clef needs more space in front than a normal clef.
448 def draw_percussion_clef (expr reduction) =
449 save reduced_ss, razt;
451 reduced_ss# = staff_space# * reduction;
452 define_pixels (reduced_ss);
454 set_char_box (-.67 reduced_ss#, 2.0 reduced_ss#,
455 reduced_ss#, reduced_ss#);
457 razt := hround (0.45 reduced_ss);
461 draw_block ((-b, -d), (-b + razt, h));
462 draw_block ((w - razt, -d), (w, h));
464 draw_staff (-3, 1, 1);
468 fet_beginchar ("percussion clef", "percussion");
469 draw_percussion_clef (1.0);
473 fet_beginchar ("percussion clef (reduced)", "percussion_change");
474 draw_percussion_clef (.8);
478 def draw_tab_T (expr pos, siz, slant) =
485 vx = (xpart siz) * dir 0;
486 vy = (ypart siz) * dir 90;
488 penpos1 (.75 penh, 100);
489 z1 = z2 + (1/6 * vx - .15 * vy);
490 penpos2 (hround (.9 penw), 0);
491 x2l = hround xpart (pos + .75 vy);
492 y2l = ypart (pos + .75 vy);
493 penpos3 (penh, -100);
494 z3l = pos + .4 vx + vy;
496 z4 = -.1 vy + .5 [z3, z5];
497 penpos5 (.8 penh, -30);
498 x5r = xpart (pos + siz);
499 y5l = ypart (pos + siz);
501 penpos10 (penw, 170);
502 z10 = pos + .55 vx + .9 vy;
503 penpos11 (.75 [penh, penw], 170);
504 z11 = z10 - .5 vy + .025 vx;
505 penpos12 (penh, 100);
506 z12l = (xpart .5 [z13, z11], ypart (pos - .025 * siz));
507 penpos13 (.75 penh, 60);
508 z13 = pos + .2 vx + .15 vy;
510 % penlabels (range 1 thru 13);
517 slanted slant shifted (slant * -ypart pos, 0);
519 soft_end_penstroke (z10e
522 ..tension 1.1.. z13e{(z13r - z13l) rotated 90})
523 slanted slant shifted (slant * -ypart pos, 0);
528 def draw_tab_A (expr pos, siz, slant) =
536 vx = (xpart siz) * dir 0;
537 vy = (ypart siz) * dir 90;
539 penpos1 (.75 penh, -110);
542 z2r = (.5 [x1, x3], ypart pos);
543 penpos3 (.25 [penh, penw], -30);
544 z3 = (.45 [x2, x4], .15 [y2, y4]);
545 penpos4 (1 [penh, penw], 0);
546 z4 = pos + .5 vx + .975 vy;
548 penpos5 (1 [penh, penw], -180);
550 penpos6 (.2 [penh, penw], -150);
551 z6l = (.8 [x5l, x7l], .9 [y5l, y7l]);
553 z7r = (.5 [x6, x8], ypart pos);
554 penpos8 (.75 penh, -70);
555 z8r = (xpart (pos + siz), y7r + .075 ypart (siz));
561 penpos10 (penh, angle (direction 1.2 of pat) - 180);
562 z10 = point 1.2 of pat;
563 penpos11 (.9 penh, -90);
564 z11 = .4 [z10, z6] - 0.05 vy;
565 penpos12 (.75 penh, -75);
566 z12 = .3 [z11, z6] + 0.02 vy;
568 % penlabels (range 1 thru 12);
570 soft_penstroke (z1e{(z1r - z1l) rotated 90}
574 slanted slant shifted (slant * -ypart pos, 0);
576 soft_end_penstroke (z5e
579 .. z8e{(z8r - z8l) rotated 90})
580 slanted slant shifted (slant * -ypart pos, 0);
582 soft_end_penstroke (z10e
585 slanted slant shifted (slant * -ypart pos, 0);
590 def draw_tab_B (expr pos, siz, slant) =
597 vx = (xpart siz) * dir 0;
598 vy = (ypart siz) * dir 90;
600 penpos1 (.75 penh, 100);
601 z1 = z2 + (.15 * vx - .1 * vy);
602 penpos2 (hround (.9 penw), 0);
603 x2l = hround xpart (pos + .75 vy);
604 y2l = ypart (pos + .75 vy);
605 penpos3 (penh, -100);
606 z3l = pos + .4 vx + 1.05 vy;
607 penpos4 (.8 [penh, penw], -180);
608 z4 = (xpart (pos + .75 siz), .5 [y3, y5]);
609 penpos5 (.8 penh, 90);
610 z5 = (.5 [x10, x4], ypart (pos + .55 siz));
612 penpos6 (.8 penh, 270);
615 z7l = (xpart (pos + siz), .5 [y6, y8]);
616 penpos8 (.8 penh, 45);
617 z8 = .5 [z12l, z11l] + .15 vx - .05 vy;
619 penpos10 (.75 [penh, penw], 170);
620 z10 = pos + .375 vx + vy;
621 penpos 11 (.8 [penh, penw], 150);
622 z11 = z10 - .5 vy + .04 vx;
623 penpos12 (penh, 100);
624 z12l = (xpart .5 [z13, z11], ypart pos);
625 penpos13 (.75 penh, 60);
626 z13 = pos + .1 vx + .15 vy;
628 % penlabels (range 1 thru 13);
635 slanted slant shifted (slant * -ypart pos, 0);
637 soft_end_penstroke (z6e{right}
639 .. z8e{(z8r - z8l) rotated 90})
640 slanted slant shifted (slant * -ypart pos, 0);
642 soft_end_penstroke (z10e
645 ..tension 1.1.. z13e{(z13r - z13l) rotated 90})
646 slanted slant shifted (slant * -ypart pos, 0);
651 def draw_tab_clef (expr reduction) =
652 save reduced_ss, letterheight, penw, penh;
654 reduced_ss# = staff_space# * reduction;
655 letterheight# = 1.8 reduced_ss#;
656 define_pixels (reduced_ss, letterheight);
658 set_char_box (-.2 reduced_ss#, 2.8 reduced_ss#,
659 1.6 letterheight#, 1.6 letterheight#);
661 penw = .45 reduced_ss;
662 penh = .2 reduced_ss;
664 draw_tab_T ((-b + .15 reduced_ss, h - letterheight),
665 (2.1 reduced_ss, letterheight), 0.2);
666 draw_tab_A ((-b - .05 reduced_ss, -.5 letterheight +.15 reduced_ss),
667 (2.2 reduced_ss, letterheight), 0.4);
668 draw_tab_B ((-b + .025 reduced_ss, -d),
669 (2.1 reduced_ss, letterheight), 0.25);
671 draw_staff (-3, 2, 0.5);
675 fet_beginchar ("tab clef", "tab");
680 fet_beginchar ("tab clef (reduced)", "tab_change");
684 fet_endgroup ("clefs");