2 % feta-bolletjes.mf -- implement noteheads
4 % source file of LilyPond's pretty-but-neat music font
6 % (c) 1997--2009 Jan Nieuwenhuizen <janneke@gnu.org>
7 % & Han-Wen Nienhuys <hanwen@xs4all.nl>
8 % & Juergen Reuter <reuter@ipd.uka.de>
18 % Most beautiful noteheads are pronounced, not circular,
19 % and not even symmetric.
20 % These examples are inspired by [Wanske]; see literature list.
24 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
26 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
28 save black_notehead_width, noteheight;
29 save half_notehead_width, whole_notehead_width, slash_thick;
30 save slash_slope, overdone_heads, solfa_noteheight;
34 numeric black_notehead_width;
35 numeric whole_notehead_width;
36 numeric half_notehead_width;
39 fet_begingroup ("noteheads");
42 % Slope of slash. From scm/grob-description.scm. How to auto-copy?
45 % Thickness of slash lines. Quarter notes get 1.5slt width.
46 slash_thick# := 2/3 * 0.48 staff_space#;
50 % Hand-engraved music often has balls extending above and below
51 % the lines. If you like that, modify overdone heads (unit:
52 % stafflinethickness).
55 noteheight# := staff_space# + (1 + overdone_heads) * stafflinethickness#;
59 % solfa heads should not overlap on chords.
61 solfa_noteheight# := staff_space# - stafflinethickness#;
63 define_pixels (slash_thick);
64 define_whole_vertical_pixels (noteheight);
67 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
69 % SLANT moves both extrema on the long axis (by SLANT * ELLIPTICITY,
70 % so SLANT = -1, puts the extreme on the long axis next to the short
74 def draw_outside_ellipse (expr ellipticity, tilt, superness, slant) =
79 pat := superellipse ((ellipticity, 0), (-slant * ellipticity, 1.0),
80 (-ellipticity, 0), (slant * ellipticity, -1.0),
82 pat := pat rotated tilt;
84 save top_point, right_point;
85 pair top_point, right_point;
87 top_point := directionpoint left of pat;
88 right_point := directionpoint up of pat;
92 scaling# = noteheight# / (2 ypart (top_point));
93 width# := 2 xpart (right_point) * scaling#;
94 define_pixels (scaling, width);
96 set_char_box (0, width#, noteheight# / 2, noteheight# / 2);
98 d := d - feta_space_shift;
101 charwy := ypart (right_point) * scaling#;
104 pat := pat scaled scaling shifted (w / 2, .5 (h - d));
106 width := hround width;
108 if test_outlines = 1:
116 def undraw_inside_ellipse (expr ellipticity, tilt, superness, clearance) =
121 pat := superellipse ((ellipticity, 0), (0, 1.0),
122 (-ellipticity, 0), (0, -1.0),
124 pat := pat rotated tilt;
126 save top_point, right_point;
127 pair top_point, right_point;
129 top_point := directionpoint left of pat;
130 right_point := directionpoint up of pat;
132 save height, scaling;
134 height# = staff_space# + stafflinethickness# - clearance;
135 scaling# = height# / (2 ypart (top_point));
136 define_pixels (scaling);
137 pat := pat scaled scaling shifted (w / 2, .5 (h - d));
139 if test_outlines = 1:
149 % dimensions aren't entirely right.
151 def draw_longa (expr up) =
152 save stemthick, fudge;
154 stemthick# = 2 stafflinethickness#;
155 define_whole_blacker_pixels (stemthick);
157 fudge = hround (blot_diameter / 2);
159 draw_outside_ellipse (1.80, 0, 0.707, 0);
160 undraw_inside_ellipse (1.30, 125, 0.68, 2 stafflinethickness#);
162 pickup pencircle scaled stemthick;
172 top y4 = h + 3.0 staff_space;
175 bot y1 = -d - 3.0 staff_space;
186 draw_gridline (z1, z2, stemthick);
187 draw_gridline (z3, z4, stemthick);
193 fet_beginchar ("Longa notehead", "uM2");
196 draw_staff (-2, 2, 0);
199 fet_beginchar ("Longa notehead", "dM2");
202 draw_staff (-2, 2, 0);
207 fet_beginchar ("Longa notehead", "uM2");
210 draw_staff (-2, 2, 0.5);
213 fet_beginchar ("Longa notehead", "dM2");
216 draw_staff (-2, 2, 0.5);
222 % dimensions aren't entirely right.
224 def draw_brevis (expr linecount) =
225 save stemthick, fudge;
227 stemthick# = 2 stafflinethickness#;
228 define_whole_blacker_pixels (stemthick);
230 fudge = hround (blot_diameter / 2);
232 draw_outside_ellipse (1.80, 0, 0.707, 0);
233 undraw_inside_ellipse (1.30, 125, 0.68, 2 stafflinethickness#);
235 pickup pencircle scaled stemthick;
247 for i := 0 step 1 until linecount - 1:
248 draw_gridline (z1 - (1.5 * i * stemthick, 0),
249 z2 - (1.5 * i * stemthick, 0), stemthick);
250 draw_gridline (z3 + (1.5 * i * stemthick, 0),
251 z4 + (1.5 * i * stemthick, 0), stemthick);
256 fet_beginchar ("Brevis notehead", "sM1");
259 draw_staff (-2, 2, 0);
264 fet_beginchar ("Brevis notehead", "sM1");
267 draw_staff (-2, 2, 0.5);
272 fet_beginchar ("Double-lined brevis notehead", "sM1double");
275 draw_staff (-2, 2, 0);
280 fet_beginchar ("Double-lined brevis notehead", "sM1double");
283 draw_staff (-2, 2, 0.5);
288 fet_beginchar ("Whole notehead", "s0");
289 draw_outside_ellipse (1.80 - puff_up_factor / 3.0, 0, 0.707, 0);
290 undraw_inside_ellipse (1.30, 125 - puff_up_factor * 10,
291 0.68, 2 stafflinethickness#);
293 whole_notehead_width# := charwd;
295 draw_staff (-2, 2, 0);
300 fet_beginchar ("Whole notehead", "s0");
301 draw_outside_ellipse (1.80 - puff_up_factor / 3.0, 0,
303 undraw_inside_ellipse (1.30, 125 - puff_up_factor * 10,
304 0.68, 2 stafflinethickness#);
306 draw_staff (-2, 2, 0.5);
311 fet_beginchar ("Half notehead", "s1");
312 draw_outside_ellipse (1.53 - puff_up_factor / 3.0, 34, 0.66, 0.17);
313 undraw_inside_ellipse (3.25, 33, 0.81, 2.5 stafflinethickness#);
315 half_notehead_width# := charwd;
317 draw_staff (-2, 2, 0);
322 fet_beginchar ("Half notehead", "s1");
323 draw_outside_ellipse (1.53 - puff_up_factor / 3.0, 34,
325 undraw_inside_ellipse (3.25, 33, 0.81,
326 2.5 stafflinethickness#);
328 draw_staff (-2, 2, 0.5);
333 fet_beginchar ("Quart notehead", "s2");
334 % used to have 32. With 31, they are slightly bolder.
335 draw_outside_ellipse (1.49 - puff_up_factor / 3.0, 31, 0.707, 0);
336 black_notehead_width# := charwd;
338 draw_staff (-2, 2, 0);
343 fet_beginchar ("Quart notehead", "s2");
344 draw_outside_ellipse (1.49 - puff_up_factor / 3.0, 31,
347 draw_staff (-2, 2, 0.5);
352 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
355 fet_beginchar ("Whole diamondhead", "s0diamond");
356 draw_outside_ellipse (1.80, 0, 0.495, 0);
357 undraw_inside_ellipse (1.30, 125, 0.6,
358 .4 staff_space# + stafflinethickness#);
360 draw_staff (-2, 2, 0);
365 fet_beginchar ("Whole diamondhead", "s0diamond");
366 draw_outside_ellipse (1.80, 0, 0.495, 0);
367 undraw_inside_ellipse (1.30, 125, 0.6,
368 .4 staff_space# + stafflinethickness#);
370 draw_staff (-2, 2, 0.5);
375 fet_beginchar ("Half diamondhead", "s1diamond");
376 draw_outside_ellipse (1.50, 34, 0.49, 0.17);
377 undraw_inside_ellipse (3.5, 33, 0.80,
378 .3 staff_space# + 1.5 stafflinethickness#);
380 draw_staff (-2, 2, 0);
385 fet_beginchar ("Half diamondhead", "s1diamond");
386 draw_outside_ellipse (1.50, 34, 0.49, 0.17);
387 undraw_inside_ellipse (3.5, 33, 0.80,
389 + 1.5 stafflinethickness#);
391 draw_staff (-2, 2, 0.5);
396 fet_beginchar ("Quart diamondhead", "s2diamond");
397 draw_outside_ellipse (1.80, 35, 0.495, -0.25);
399 draw_staff (-2, 2, 0);
404 fet_beginchar ("Quart diamondhead", "s2diamond");
405 draw_outside_ellipse (1.80, 35, 0.495, -0.25);
407 draw_staff (-2, 2, 0.5);
412 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
415 vardef penposx@# (expr d) =
425 z@#l = pat intersectionpoint (z@# -- infinity * dir (d + 180));
426 z@#r = pat intersectionpoint (z@# -- infinity * dir (d));
432 % UGH: xs not declared as argument.
434 def define_triangle_shape (expr stemdir) =
435 save triangle_a, triangle_b, triangle_c;
436 save triangle_out_a, triangle_out_b, triangle_out_c;
437 save triangle_in, triangle_out;
438 save width, depth, height;
439 save origin, left_up_dir;
440 save exact_left_point, exact_right_point, exact_down_point;
442 path triangle_a, triangle_b, triangle_c;
443 path triangle_out_a, triangle_out_b, triangle_out_c;
444 path triangle_in, triangle_out;
445 pair origin, left_up_dir;
446 pair exact_down_point, exact_left_point, exact_right_point;
449 pen_thick# = stafflinethickness# + .1 staff_space#;
450 define_pixels (llap);
451 define_blacker_pixels (pen_thick);
453 left_up_dir = llap# * dir (90 + tilt);
455 xpart (left_up_dir) * xs - (pen_thick# * xs) / 2 + xpart origin = 0;
458 exact_left_point := origin + (left_up_dir xscaled xs);
459 exact_down_point := origin + (left_up_dir rotated 120 xscaled xs);
460 exact_right_point := origin + (left_up_dir rotated 240 xscaled xs);
462 height# = ypart (exact_left_point + origin) + pen_thick# / 2;
463 depth# = -ypart (exact_down_point + origin) + pen_thick# / 2;
464 width# = xpart (exact_right_point - exact_left_point)
467 set_char_box (0, width#, depth#, height#);
469 % Formerly, the shape has simply been drawn with an elliptical pen
470 % (`scaled pen_thick xscaled xs'), but the envelope of such a curve
471 % is of 6th degree. For the sake of mf2pt1, we approximate it.
473 pickup pencircle scaled pen_thick xscaled xs;
475 z0 = (hround_pixels (xpart origin), 0);
477 z1 = z1' = z0 + llap * dir (90 + tilt) xscaled xs;
478 z2 = z2' = z0 + llap * dir (90 + tilt + 120) xscaled xs;
479 z3 = z3' = z0 + llap * dir (90 + tilt + 240) xscaled xs;
481 z12 = caveness [.5[z1, z2], z3];
482 z23 = caveness [.5[z2, z3], z1];
483 z31 = caveness [.5[z3, z1], z2];
485 triangle_a = z1 .. z12 .. z2;
486 triangle_b = z2 .. z23 .. z3;
487 triangle_c = z3 .. z31 .. z1;
489 penposx1 (angle (direction 0 of triangle_a) - 90);
490 penposx2 (angle (direction 0 of triangle_b) - 90);
491 penposx3 (angle (direction 0 of triangle_c) - 90);
493 penposx1' (angle (direction infinity of triangle_c) + 90);
494 penposx2' (angle (direction infinity of triangle_a) + 90);
495 penposx3' (angle (direction infinity of triangle_b) + 90);
497 penposx12 (angle (z12 - z0));
498 penposx23 (angle (z23 - z0));
499 penposx31 (angle (z31 - z0));
501 z10 = (z0 -- z1) intersectionpoint (z1l .. z12l .. z2'r);
502 z20 = (z0 -- z2) intersectionpoint (z2l .. z23l .. z3'r);
503 z30 = (z0 -- z3) intersectionpoint (z3l .. z31l .. z1'r);
516 triangle_out_a = z1r .. z12r .. z2'l;
517 triangle_out_b = z2r .. z23r .. z3'l;
518 triangle_out_c = z3r .. z31r .. z1'l;
520 triangle_out = top z1
522 .. z1r{direction 0 of triangle_out_a}
524 & {direction infinity of triangle_out_a}z2'l
527 .. z2r{direction 0 of triangle_out_b}
529 & {direction infinity of triangle_out_b}z3'l
532 .. z3r{direction 0 of triangle_out_c}
534 & {direction infinity of triangle_out_c}z1'l
537 labels (0, 10, 20, 30);
538 penlabels (1, 1', 2, 2', 3, 3', 12, 23, 31);
542 charwy := ypart exact_right_point;
543 charwx := xpart exact_right_point + .5 pen_thick# * xs;
545 charwy := -ypart exact_down_point;
546 charwx := width# - (xpart exact_down_point - .5 pen_thick# * xs);
551 def draw_whole_triangle_head =
557 llap# = 3/4 noteheight#;
561 define_triangle_shape (1);
567 fet_beginchar ("Whole trianglehead", "s0triangle");
568 draw_whole_triangle_head;
570 draw_staff (-2, 2, 0);
575 fet_beginchar ("Whole trianglehead", "s0triangle");
576 draw_whole_triangle_head;
578 draw_staff (-2, 2, 0.5);
583 def draw_small_triangle_head (expr dir) =
589 llap# = 2/3 noteheight#;
592 define_triangle_shape (dir);
596 filldraw triangle_out;
597 unfilldraw triangle_in;
601 fet_beginchar ("Half trianglehead (downstem)", "d1triangle");
602 draw_small_triangle_head (-1);
604 draw_staff (-2, 2, 0);
608 fet_beginchar ("Half trianglehead (upstem)", "u1triangle");
609 draw_small_triangle_head (1);
611 draw_staff (-2, 2, 0.5);
615 def draw_closed_triangle_head (expr dir) =
621 llap# = 2/3 noteheight#;
624 define_triangle_shape (dir);
629 fet_beginchar ("Quart trianglehead (upstem)", "u2triangle");
630 draw_closed_triangle_head (1);
632 draw_staff (-2, 2, 0);
636 fet_beginchar ("Quart trianglehead (downstem)", "d2triangle");
637 draw_closed_triangle_head (-1);
639 draw_staff (-2, 2, 0.5);
643 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
645 % Slash heads are for indicating improvisation. They are
646 % twice as high as normal heads.
648 def draw_slash (expr hwid_hash) =
652 exact_height = staff_space# + stafflinethickness# / 2;
654 set_char_box (0, 2 exact_height / slash_slope + hwid_hash,
655 exact_height, exact_height);
664 pickup pencircle scaled blot_diameter;
669 lft x2 = 2 h / slash_slope;
676 ne = unitvector (z3 - z4);
677 nw_dist = (ne rotated 90) * 0.5 blot_diameter;
680 .. (z1 + nw_dist){ne}
681 -- (z2 + nw_dist){ne}
684 .. (z3 - nw_dist){-ne}
685 -- (z4 - nw_dist){-ne}
689 if hwid_hash > 2 slash_thick#:
692 th = slash_thick - blot_diameter;
697 z6 - z5 = whatever * ne;
698 z8 - z7 = whatever * ne;
700 z5 = z1 + whatever * ne + th * (ne rotated -90);
701 z8 = z4 + whatever * ne + th * (ne rotated 90);
709 labels (range 1 thru 10);
713 fet_beginchar ("Whole slashhead", "s0slash");
714 draw_slash (4 slash_thick# + 0.5 staff_space#);
716 draw_staff (-2, 2, 0);
720 fet_beginchar ("Half slashhead", "s1slash");
721 draw_slash (3.0 slash_thick# + 0.15 staff_space#);
723 draw_staff (-2, 2, 0);
727 fet_beginchar ("Quart slashhead", "s2slash");
728 draw_slash (1.5 slash_thick#);
730 draw_staff (-2, 2, 0);
734 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
736 % `thick' is the distance between the NE/SW parallel lines in the cross
737 % (distance between centres of lines) in multiples of stafflinethickness
739 def draw_cross (expr thick) =
741 save ne_dist, nw_dist, rt_dist, up_dist;
742 save crz_in, crz_out;
745 pair ne_dist, nw_dist, rt_dist, up_dist;
746 path crz_in, crz_out;
748 pen_thick# := 1.2 stafflinethickness#;
749 thickness# := thick * stafflinethickness#;
750 define_pixels (thickness);
751 define_blacker_pixels (pen_thick);
753 pickup pencircle scaled pen_thick;
758 ne = unitvector ((1, (2 h - pen_thick) / (w - pen_thick)));
761 z4 - z5 = whatever * ne;
763 z6 - z3 = whatever * ne;
764 z3 - z4 = whatever * (ne yscaled -1);
766 z4 - z3 = whatever * (ne) + (ne rotated -90) * thickness;
769 x1 = charwd / 2 - .5 pen_thick#;
771 + thick / 2 * stafflinethickness# * (ne rotated -90);
773 % labels (1, 2, 3, 4, 5, 6);
775 nw = unitvector (z3 - z4);
777 up_dist = up * 0.5 pen_thick / cosd (angle (ne));
778 rt_dist = right * 0.5 pen_thick / sind (angle (ne));
779 nw_dist = (ne rotated 90) * 0.5 pen_thick;
780 ne_dist = (nw rotated -90) * 0.5 pen_thick;
786 x4 := hround (x4' + .5 pen_thick) - .5 pen_thick;
787 x5 := hfloor (x5' + xpart rt_dist) - xpart rt_dist;
788 y6 := vfloor (y6' + ypart up_dist) - ypart up_dist;
790 crz_out = (z6 + up_dist)
791 -- (z3 + nw_dist){ne}
793 .. (z3 + ne_dist){-nw}
794 -- (z4 + ne_dist){-nw}
796 .. (z4 - nw_dist){-ne}
798 crz_out := crz_out shifted (0, feta_shift)
799 -- reverse crz_out yscaled -1 shifted (0, -feta_eps);
801 -- reverse crz_out xscaled -1 shifted (-feta_eps, 0)
805 x4 := hround (x4' - xpart rt_dist) + xpart rt_dist;
806 x5 := hceiling (x5' - .5 pen_thick) + .5 pen_thick;
807 y6 := vfloor (y6' - .5 pen_thick) + .5 pen_thick;
809 crz_in = (bot z6){right}
810 .. (z6 - nw_dist){ne}
813 -- (z5 + nw_dist){-ne}
815 crz_in := crz_in shifted (0, feta_shift)
816 -- reverse crz_in yscaled -1 shifted (0, -feta_eps);
818 -- reverse crz_in xscaled -1 shifted (-feta_eps, 0)
823 currentpicture := currentpicture shifted (hround (w / 2), 0);
826 charwy := y1 + feta_shift;
828 z12 = (charwx * hppp, y1 * vppp);
834 fet_beginchar ("Whole Crossed notehead", "s0cross");
837 wid# := black_notehead_width# + 4 stafflinethickness#;
838 hei# := noteheight# + stafflinethickness#;
840 set_char_box (0, wid#, hei# / 2, hei# / 2);
844 remember_pic := currentpicture;
846 draw_staff (-2, 2, 0);
851 fet_beginchar ("Whole Crossed notehead", "s0cross");
854 wid# := black_notehead_width# + 4 stafflinethickness#;
855 hei# := noteheight# + stafflinethickness#;
857 set_char_box (0, wid#, hei# / 2, hei# / 2);
859 currentpicture := remember_pic;
861 draw_staff (-2, 2, 0.5);
866 fet_beginchar ("Half Crossed notehead", "s1cross");
869 wid# := black_notehead_width# + 2 stafflinethickness#;
870 hei# := noteheight# + stafflinethickness# / 2;
872 set_char_box (0, wid#, hei# / 2, hei# / 2);
876 remember_pic := currentpicture;
878 draw_staff (-2, 2, 0);
883 fet_beginchar ("Half Crossed notehead", "s1cross");
886 wid# := black_notehead_width# + 2 stafflinethickness#;
887 hei# := noteheight# + stafflinethickness# / 2;
889 set_char_box (0, wid#, hei# / 2, hei# / 2);
891 currentpicture := remember_pic;
893 draw_staff (-2, 2, 0.5);
898 fet_beginchar ("Crossed notehead", "s2cross");
899 wid# := black_notehead_width#;
901 set_char_box (0, wid#, hei# / 2, hei# / 2);
905 remember_pic := currentpicture;
907 draw_staff (-2, 2, 0);
912 fet_beginchar ("Crossed notehead", "s2cross");
913 wid# := black_notehead_width#;
915 set_char_box (0, wid#, hei# / 2, hei# / 2);
917 currentpicture := remember_pic;
919 draw_staff (-2, 2, 0.5);
924 fet_beginchar ("X-Circled notehead", "s2xcircle");
926 save cthick, cxd, cyd, dy;
928 wid# := black_notehead_width# * sqrt (sqrt2);
929 hei# := noteheight# * sqrt (sqrt2);
931 set_char_box (0, wid#, hei# / 2, hei# / 2);
933 d := d - feta_space_shift;
935 cthick# := (1.2 + 1/4) * stafflinethickness#;
936 define_blacker_pixels (cthick);
939 cyd := h + d - cthick / 2;
943 pickup pencircle scaled cthick;
945 fill fullcircle xscaled (cxd + cthick)
946 yscaled (cyd + cthick)
948 unfill fullcircle xscaled (cxd - cthick)
949 yscaled (cyd - cthick)
952 xpos := .5 cxd / sqrt2;
953 ypos := .5 cyd / sqrt2;
955 pickup penrazor scaled cthick rotated (angle (xpos, ypos) + 90);
956 draw (-xpos + w / 2, -ypos + dy) -- (xpos + w / 2, ypos + dy);
958 pickup penrazor scaled cthick rotated (angle (xpos, -ypos) + 90);
959 draw (-xpos + w / 2, ypos + dy) -- (xpos + w / 2, -ypos + dy);
964 z12 = (charwx * hppp, charwy * vppp);
967 remember_pic := currentpicture;
969 draw_staff (-2, 2, 0);
974 fet_beginchar ("X-Circled notehead", "s2xcircle");
976 save cthick, cxr, cyr;
978 wid# := black_notehead_width# * sqrt (sqrt2);
979 hei# := noteheight# * sqrt (sqrt2);
981 set_char_box (0, wid#, hei# / 2, hei# / 2);
983 currentpicture := remember_pic;
985 draw_staff (-2, 2, 0.5);
995 save solfa_pen_thick;
996 solfa_pen_thick# = 1.75 stafflinethickness#;
997 define_blacker_pixels (solfa_pen_thick);
1000 save solfa_base_notewidth;
1001 solfa_base_notewidth# := black_notehead_width#;
1003 solfa_whole_width := whole_notehead_width# / black_notehead_width#;
1004 solfa_half_width := half_notehead_width# / black_notehead_width#;
1005 solfa_quarter_width := 1.0;
1007 def draw_do_head (expr width_factor, dir) =
1009 save left_dist, right_dist;
1011 pair left_dist, right_dist;
1013 set_char_box (0, width_factor * solfa_base_notewidth#,
1014 0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
1016 pickup pencircle scaled solfa_pen_thick;
1025 left_dist = (unitvector (z3 - z1) rotated 90) * 0.5 solfa_pen_thick;
1026 right_dist = (unitvector (z2 - z3) rotated 90) * 0.5 solfa_pen_thick;
1028 p_in := (((z1 - left_dist) -- (z3 - left_dist)) intersectionpoint
1030 -- ((top z1 -- top z2) intersectionpoint
1031 ((z2 - right_dist) -- (z3 - right_dist)))
1032 -- (((z2 - right_dist) -- (z3 - right_dist)) intersectionpoint
1033 ((z1 - left_dist) -- (z3 - left_dist)))
1039 .. (z2 + right_dist){z3 - z2}
1040 -- (z3 + right_dist){z3 - z2}
1042 .. (z3 + left_dist){z1 - z3}
1043 -- (z1 + left_dist){z1 - z3}
1051 charwy := -chardp + 0.5 stafflinethickness#;
1058 fet_beginchar ("Whole dohead", "s0do");
1059 draw_do_head (solfa_whole_width, 1);
1065 fet_beginchar ("Half dohead", "d1do");
1066 draw_do_head (solfa_half_width, -1);
1072 fet_beginchar ("Half dohead", "u1do");
1073 draw_do_head (solfa_half_width, 1);
1079 fet_beginchar ("Quart dohead", "d2do");
1080 draw_do_head (solfa_quarter_width, -1);
1085 fet_beginchar ("Quart dohead", "u2do");
1086 draw_do_head (solfa_quarter_width, 1);
1092 % re - flat top, curved bottom:
1093 % (0,h/2) {dir -90} .. (w/2,-h/2) .. {dir 90} (w,h/2) -- cycle;
1094 % (broader along the base and with more vertical sides for half and
1096 % stem attachment: h/2
1099 def draw_re_head (expr width_factor, dir) =
1103 set_char_box (0, width_factor * solfa_base_notewidth#,
1104 0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
1106 pickup pencircle scaled solfa_pen_thick;
1113 y2 = curve_start [y3, y1];
1121 labels (range 1 thru 5);
1123 p_in := (z1 + 0.5 solfa_pen_thick * (1, -1))
1127 -- (z5 + 0.5 solfa_pen_thick * (-1, -1))
1140 charwy := curve_start [-chardp, charht];
1148 fet_beginchar ("Whole rehead", "s0re");
1149 draw_re_head (solfa_whole_width, 1);
1155 fet_beginchar ("Half up rehead", "u1re");
1156 draw_re_head (solfa_half_width, 1);
1162 fet_beginchar ("Half down rehead", "d1re");
1163 draw_re_head (solfa_half_width, -1);
1169 fet_beginchar ("Quart rehead", "u2re");
1170 draw_re_head (solfa_quarter_width, 1);
1175 fet_beginchar ("Quart rehead", "d2re");
1176 draw_re_head (solfa_quarter_width, -1);
1181 def draw_mi_head (expr width_factor) =
1182 save path_out, path_in;
1183 save ne_dist, se_dist, ne, se;
1184 path path_out, path_in;
1185 pair ne_dist, se_dist, ne, se;
1187 set_char_box (0, width_factor * solfa_base_notewidth#,
1188 0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
1190 pickup pencircle scaled solfa_pen_thick;
1201 z6 - z5 = whatever * (z2 - z1);
1202 z8 - z7 = whatever * (z2 - z1);
1203 z8 - z5 = whatever * (z4 - z1);
1204 z6 - z7 = whatever * (z4 - z1);
1206 ne = unitvector (z4 - z1);
1207 se = unitvector (z1 - z2);
1209 ne_dist = (ne rotated 90) * 0.5 solfa_pen_thick;
1210 se_dist = (se rotated 90) * 0.5 solfa_pen_thick;
1212 z5 = whatever [z1, z4] - ne_dist;
1213 z5 = whatever [z1, z2] - 1.5 se_dist;
1215 z5 - z1 = -(z7 - z3);
1217 labels (range 1 thru 8);
1226 .. (z1 + se_dist){-se}
1227 -- (z2 + se_dist){-se}
1229 .. (z2 - ne_dist){ne}
1230 -- (z3 - ne_dist){ne}
1232 .. (z3 - se_dist){se}
1233 -- (z4 - se_dist){se}
1235 .. (z4 + ne_dist){-ne}
1236 -- (z1 + ne_dist){-ne}
1241 fet_beginchar ("Whole mihead", "s0mi");
1242 draw_mi_head (solfa_whole_width);
1248 fet_beginchar ("Half mihead", "s1mi");
1249 draw_mi_head (solfa_quarter_width);
1255 fet_beginchar ("Quart mihead", "s2mi");
1256 draw_mi_head (solfa_quarter_width);
1261 def draw_fa_head (expr width_factor) =
1262 set_char_box (0, width_factor * solfa_base_notewidth#,
1263 0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
1265 save p_down_in, p_down_out, p_up_in, p_up_out, nw_dist, nw;
1266 path p_down_in, p_down_out, p_up_in, p_up_out;
1269 pickup pencircle scaled solfa_pen_thick;
1282 labels (1, 2, 3, 4);
1284 nw = unitvector (z1 - z3);
1285 nw_dist = (nw rotated 90) * 0.5 solfa_pen_thick;
1287 p_up_in := (((z1 - nw_dist) -- (z3 - nw_dist)) intersectionpoint
1289 -- (((z1 - nw_dist) -- (z3 - nw_dist)) intersectionpoint
1291 -- (z2 + 0.5 solfa_pen_thick * (-1, -1))
1294 p_up_out := lft z1{down}
1295 .. (z1 + nw_dist){-nw}
1296 -- (z3 + nw_dist){-nw}
1304 p_down_in := p_up_in rotated 180 shifted (w, 0);
1305 p_down_out := p_up_out rotated 180 shifted (w, 0);
1312 fet_beginchar ("Whole fa up head", "u0fa");
1313 draw_fa_head (solfa_whole_width);
1319 fet_beginchar ("Whole fa down head", "d0fa");
1320 draw_fa_head (solfa_whole_width);
1326 fet_beginchar ("half fa up head", "u1fa");
1327 draw_fa_head (solfa_half_width);
1333 fet_beginchar ("Half fa down head", "d1fa");
1334 draw_fa_head (solfa_half_width);
1340 fet_beginchar ("Quarter fa up head", "u2fa");
1341 draw_fa_head (solfa_quarter_width);
1346 fet_beginchar ("Quarter fa down head", "d2fa");
1347 draw_fa_head (solfa_quarter_width);
1352 def draw_la_head (expr width_factor) =
1353 set_char_box (0, width_factor * solfa_base_notewidth#,
1354 0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
1358 pickup pencircle scaled solfa_pen_thick;
1371 labels (range 1 thru 4);
1373 p_in := (z1 + 0.5 solfa_pen_thick * (1, -1))
1374 -- (z2 + 0.5 solfa_pen_thick * (-1, -1))
1375 -- (z3 + 0.5 solfa_pen_thick * (-1, 1))
1376 -- (z4 + 0.5 solfa_pen_thick * (1, 1))
1391 fet_beginchar ("Whole lahead", "s0la");
1392 draw_la_head (solfa_whole_width);
1398 fet_beginchar ("Half lahead", "s1la");
1399 draw_la_head (solfa_half_width);
1405 fet_beginchar ("Quart lahead", "s2la");
1406 draw_la_head (solfa_quarter_width);
1411 def draw_ti_head (expr width_factor, dir) =
1412 set_char_box (0, width_factor * solfa_base_notewidth#,
1413 0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
1414 save p_in, p_out, p_top;
1415 save nw_dist, sw_dist, nw, sw;
1416 path p_in, p_out, p_top;
1417 pair nw_dist, sw_dist, nw, sw;
1421 pickup pencircle scaled solfa_pen_thick;
1426 y2 = cone_height [y1, y3];
1432 labels (range 1 thru 4);
1434 nw = unitvector (z2 - z1);
1435 sw = unitvector (z1 - z4);
1437 nw_dist = (nw rotated 90) * 0.5 solfa_pen_thick;
1438 sw_dist = (sw rotated 90) * 0.5 solfa_pen_thick;
1440 p_top := (z2 - sw_dist)
1444 p_in := (((z1 - nw_dist) -- (z2 - nw_dist)) intersectionpoint
1445 ((z1 - sw_dist) -- (z4 - sw_dist)))
1446 -- (((z1 - nw_dist) -- (z2 - nw_dist)) intersectionpoint
1447 ((z2 + sw_dist) .. {right}(bot z3)))
1449 .. (((bot z3){right} .. (z4 + nw_dist)) intersectionpoint
1450 ((z1 - sw_dist) -- (z4 - sw_dist)))
1457 .. (z2 - sw_dist){direction 0 of p_top}
1459 & {direction infinity of p_top}(z4 - nw_dist)
1466 charwy := cone_height [-chardp, charht];
1473 fet_beginchar ("Whole up tihead", "s0ti");
1474 draw_ti_head (solfa_whole_width, 1);
1480 fet_beginchar ("Half up tihead", "u1ti");
1481 draw_ti_head (solfa_half_width, 1);
1487 fet_beginchar ("Half down tihead", "d1ti");
1488 draw_ti_head (solfa_half_width, -1);
1494 fet_beginchar ("Quart up tihead", "u2ti");
1495 draw_ti_head (solfa_quarter_width, 1);
1500 fet_beginchar ("Quart down tihead", "d2ti");
1501 draw_ti_head (solfa_quarter_width, -1);
1506 fet_endgroup ("noteheads");
1510 % we derive black_notehead_width# from the quarter head,
1511 % so we have to define black_notehead_width (pixel qty)
1512 % after the black_notehead_width# itself.
1514 % Let's keep it outside the group as well.
1517 define_pixels (black_notehead_width);