2 % feta-bolletjes.mf -- implement noteheads
4 % source file of LilyPond's pretty-but-neat music font
6 % (c) 1997--2006 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);
191 fet_beginchar ("Longa notehead", "u-2");
194 draw_staff (-2, 2, 0);
197 fet_beginchar ("Longa notehead", "d-2");
200 draw_staff (-2, 2, 0);
205 fet_beginchar ("Longa notehead", "u-2");
208 draw_staff (-2, 2, 0.5);
211 fet_beginchar ("Longa notehead", "d-2");
214 draw_staff (-2, 2, 0.5);
220 % dimensions aren't entirely right.
223 save stemthick, fudge;
225 stemthick# = 2 stafflinethickness#;
226 define_whole_blacker_pixels (stemthick);
228 fudge = hround (blot_diameter / 2);
230 draw_outside_ellipse (1.80, 0, 0.707, 0);
231 undraw_inside_ellipse (1.30, 125, 0.68, 2 stafflinethickness#);
233 pickup pencircle scaled stemthick;
245 draw_gridline (z1, z2, stemthick);
246 draw_gridline (z3, z4, stemthick);
250 fet_beginchar ("Brevis notehead", "s-1");
253 draw_staff (-2, 2, 0);
258 fet_beginchar ("Brevis notehead", "s-1");
261 draw_staff (-2, 2, 0.5);
266 fet_beginchar ("Whole notehead", "s0");
267 draw_outside_ellipse (1.80 - puff_up_factor / 3.0, 0, 0.707, 0);
268 undraw_inside_ellipse (1.30, 125 - puff_up_factor * 10,
269 0.68, 2 stafflinethickness#);
271 whole_notehead_width# := charwd;
273 draw_staff (-2, 2, 0);
278 fet_beginchar ("Whole notehead", "s0");
279 draw_outside_ellipse (1.80 - puff_up_factor / 3.0, 0,
281 undraw_inside_ellipse (1.30, 125 - puff_up_factor * 10,
282 0.68, 2 stafflinethickness#);
284 draw_staff (-2, 2, 0.5);
289 fet_beginchar ("Half notehead", "s1");
290 draw_outside_ellipse (1.53 - puff_up_factor / 3.0, 34, 0.66, 0.17);
291 undraw_inside_ellipse (3.25, 33, 0.81, 2.5 stafflinethickness#);
293 half_notehead_width# := charwd;
295 draw_staff (-2, 2, 0);
300 fet_beginchar ("Half notehead", "s1");
301 draw_outside_ellipse (1.53 - puff_up_factor / 3.0, 34,
303 undraw_inside_ellipse (3.25, 33, 0.81,
304 2.5 stafflinethickness#);
306 draw_staff (-2, 2, 0.5);
311 fet_beginchar ("Quart notehead", "s2");
312 % used to have 32. With 31, they are slightly bolder.
313 draw_outside_ellipse (1.49 - puff_up_factor / 3.0, 31, 0.707, 0);
314 black_notehead_width# := charwd;
316 draw_staff (-2, 2, 0);
321 fet_beginchar ("Quart notehead", "s2");
322 draw_outside_ellipse (1.49 - puff_up_factor / 3.0, 31,
325 draw_staff (-2, 2, 0.5);
330 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
333 fet_beginchar ("Whole diamondhead", "s0diamond");
334 draw_outside_ellipse (1.80, 0, 0.495, 0);
335 undraw_inside_ellipse (1.30, 125, 0.6,
336 .4 staff_space# + stafflinethickness#);
338 draw_staff (-2, 2, 0);
343 fet_beginchar ("Whole diamondhead", "s0diamond");
344 draw_outside_ellipse (1.80, 0, 0.495, 0);
345 undraw_inside_ellipse (1.30, 125, 0.6,
346 .4 staff_space# + stafflinethickness#);
348 draw_staff (-2, 2, 0.5);
353 fet_beginchar ("Half diamondhead", "s1diamond");
354 draw_outside_ellipse (1.50, 34, 0.49, 0.17);
355 undraw_inside_ellipse (3.5, 33, 0.80,
356 .3 staff_space# + 1.5 stafflinethickness#);
358 draw_staff (-2, 2, 0);
363 fet_beginchar ("Half diamondhead", "s1diamond");
364 draw_outside_ellipse (1.50, 34, 0.49, 0.17);
365 undraw_inside_ellipse (3.5, 33, 0.80,
367 + 1.5 stafflinethickness#);
369 draw_staff (-2, 2, 0.5);
374 fet_beginchar ("Quart diamondhead", "s2diamond");
375 draw_outside_ellipse (1.80, 35, 0.495, -0.25);
377 draw_staff (-2, 2, 0);
382 fet_beginchar ("Quart diamondhead", "s2diamond");
383 draw_outside_ellipse (1.80, 35, 0.495, -0.25);
385 draw_staff (-2, 2, 0.5);
390 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
393 vardef penposx@# (expr d) =
403 z@#l = pat intersectionpoint (z@# -- infinity * dir (d + 180));
404 z@#r = pat intersectionpoint (z@# -- infinity * dir (d));
410 % UGH: xs not declared as argument.
412 def define_triangle_shape (expr stemdir) =
413 save triangle_a, triangle_b, triangle_c;
414 save triangle_out_a, triangle_out_b, triangle_out_c;
415 save triangle_in, triangle_out;
416 save width, depth, height;
417 save origin, left_up_dir;
418 save exact_left_point, exact_right_point, exact_down_point;
420 path triangle_a, triangle_b, triangle_c;
421 path triangle_out_a, triangle_out_b, triangle_out_c;
422 path triangle_in, triangle_out;
423 pair origin, left_up_dir;
424 pair exact_down_point, exact_left_point, exact_right_point;
427 pen_thick# = stafflinethickness# + .1 staff_space#;
428 define_pixels (llap);
429 define_blacker_pixels (pen_thick);
431 left_up_dir = llap# * dir (90 + tilt);
433 xpart (left_up_dir) * xs - (pen_thick# * xs) / 2 + xpart origin = 0;
436 exact_left_point := origin + (left_up_dir xscaled xs);
437 exact_down_point := origin + (left_up_dir rotated 120 xscaled xs);
438 exact_right_point := origin + (left_up_dir rotated 240 xscaled xs);
440 height# = ypart (exact_left_point + origin) + pen_thick# / 2;
441 depth# = -ypart (exact_down_point + origin) + pen_thick# / 2;
442 width# = xpart (exact_right_point - exact_left_point)
445 set_char_box (0, width#, depth#, height#);
447 % Formerly, the shape has simply been drawn with an elliptical pen
448 % (`scaled pen_thick xscaled xs'), but the envelope of such a curve
449 % is of 6th degree. For the sake of mf2pt1, we approximate it.
451 pickup pencircle scaled pen_thick xscaled xs;
453 z0 = (hround_pixels (xpart origin), 0);
455 z1 = z1' = z0 + llap * dir (90 + tilt) xscaled xs;
456 z2 = z2' = z0 + llap * dir (90 + tilt + 120) xscaled xs;
457 z3 = z3' = z0 + llap * dir (90 + tilt + 240) xscaled xs;
459 z12 = caveness [.5[z1, z2], z3];
460 z23 = caveness [.5[z2, z3], z1];
461 z31 = caveness [.5[z3, z1], z2];
463 triangle_a = z1 .. z12 .. z2;
464 triangle_b = z2 .. z23 .. z3;
465 triangle_c = z3 .. z31 .. z1;
467 penposx1 (angle (direction 0 of triangle_a) - 90);
468 penposx2 (angle (direction 0 of triangle_b) - 90);
469 penposx3 (angle (direction 0 of triangle_c) - 90);
471 penposx1' (angle (direction infinity of triangle_c) + 90);
472 penposx2' (angle (direction infinity of triangle_a) + 90);
473 penposx3' (angle (direction infinity of triangle_b) + 90);
475 penposx12 (angle (z12 - z0));
476 penposx23 (angle (z23 - z0));
477 penposx31 (angle (z31 - z0));
479 z10 = (z0 -- z1) intersectionpoint (z1l .. z12l .. z2'r);
480 z20 = (z0 -- z2) intersectionpoint (z2l .. z23l .. z3'r);
481 z30 = (z0 -- z3) intersectionpoint (z3l .. z31l .. z1'r);
494 triangle_out_a = z1r .. z12r .. z2'l;
495 triangle_out_b = z2r .. z23r .. z3'l;
496 triangle_out_c = z3r .. z31r .. z1'l;
498 triangle_out = top z1
500 .. z1r{direction 0 of triangle_out_a}
502 & {direction infinity of triangle_out_a}z2'l
505 .. z2r{direction 0 of triangle_out_b}
507 & {direction infinity of triangle_out_b}z3'l
510 .. z3r{direction 0 of triangle_out_c}
512 & {direction infinity of triangle_out_c}z1'l
515 labels (0, 10, 20, 30);
516 penlabels (1, 1', 2, 2', 3, 3', 12, 23, 31);
520 charwy := ypart exact_right_point;
521 charwx := xpart exact_right_point + .5 pen_thick# * xs;
523 charwy := -ypart exact_down_point;
524 charwx := width# - (xpart exact_down_point - .5 pen_thick# * xs);
529 def draw_whole_triangle_head =
535 llap# = 3/4 noteheight#;
539 define_triangle_shape (1);
545 fet_beginchar ("Whole trianglehead", "s0triangle");
546 draw_whole_triangle_head;
548 draw_staff (-2, 2, 0);
553 fet_beginchar ("Whole trianglehead", "s0triangle");
554 draw_whole_triangle_head;
556 draw_staff (-2, 2, 0.5);
561 def draw_small_triangle_head (expr dir) =
567 llap# = 2/3 noteheight#;
570 define_triangle_shape (dir);
574 filldraw triangle_out;
575 unfilldraw triangle_in;
579 fet_beginchar ("Half trianglehead (downstem)", "d1triangle");
580 draw_small_triangle_head (-1);
582 draw_staff (-2, 2, 0);
586 fet_beginchar ("Half trianglehead (upstem)", "u1triangle");
587 draw_small_triangle_head (1);
589 draw_staff (-2, 2, 0.5);
593 def draw_closed_triangle_head (expr dir) =
599 llap# = 2/3 noteheight#;
602 define_triangle_shape (dir);
607 fet_beginchar ("Quart trianglehead (upstem)", "u2triangle");
608 draw_closed_triangle_head (1);
610 draw_staff (-2, 2, 0);
614 fet_beginchar ("Quart trianglehead (downstem)", "d2triangle");
615 draw_closed_triangle_head (-1);
617 draw_staff (-2, 2, 0.5);
621 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
623 % Slash heads are for indicating improvisation. They are
624 % twice as high as normal heads.
626 def draw_slash (expr hwid_hash) =
630 exact_height = staff_space# + stafflinethickness# / 2;
632 set_char_box (0, 2 exact_height / slash_slope + hwid_hash,
633 exact_height, exact_height);
642 pickup pencircle scaled blot_diameter;
647 lft x2 = 2 h / slash_slope;
654 ne = unitvector (z3 - z4);
655 nw_dist = (ne rotated 90) * 0.5 blot_diameter;
658 .. (z1 + nw_dist){ne}
659 -- (z2 + nw_dist){ne}
662 .. (z3 - nw_dist){-ne}
663 -- (z4 - nw_dist){-ne}
667 if hwid_hash > 2 slash_thick#:
670 th = slash_thick - blot_diameter;
675 z6 - z5 = whatever * ne;
676 z8 - z7 = whatever * ne;
678 z5 = z1 + whatever * ne + th * (ne rotated -90);
679 z8 = z4 + whatever * ne + th * (ne rotated 90);
687 labels (range 1 thru 10);
691 fet_beginchar ("Whole slashhead", "s0slash");
692 draw_slash (4 slash_thick# + 0.5 staff_space#);
694 draw_staff (-2, 2, 0);
698 fet_beginchar ("Half slashhead", "s1slash");
699 draw_slash (3.0 slash_thick# + 0.15 staff_space#);
701 draw_staff (-2, 2, 0);
705 fet_beginchar ("Quart slashhead", "s2slash");
706 draw_slash (1.5 slash_thick#);
708 draw_staff (-2, 2, 0);
712 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
714 % `thick' is the distance between the NE/SW parallel lines in the cross
715 % (distance between centres of lines) in multiples of stafflinethickness
717 def draw_cross (expr thick) =
719 save ne_dist, nw_dist, rt_dist, up_dist;
720 save crz_in, crz_out;
723 pair ne_dist, nw_dist, rt_dist, up_dist;
724 path crz_in, crz_out;
726 pen_thick# := 1.2 stafflinethickness#;
727 thickness# := thick * stafflinethickness#;
728 define_pixels (thickness);
729 define_blacker_pixels (pen_thick);
731 pickup pencircle scaled pen_thick;
736 ne = unitvector ((1, (2 h - pen_thick) / (w - pen_thick)));
739 z4 - z5 = whatever * ne;
741 z6 - z3 = whatever * ne;
742 z3 - z4 = whatever * (ne yscaled -1);
744 z4 - z3 = whatever * (ne) + (ne rotated -90) * thickness;
747 x1 = charwd / 2 - .5 pen_thick#;
749 + thick / 2 * stafflinethickness# * (ne rotated -90);
751 % labels (1, 2, 3, 4, 5, 6);
753 nw = unitvector (z3 - z4);
755 up_dist = up * 0.5 pen_thick / cosd (angle (ne));
756 rt_dist = right * 0.5 pen_thick / sind (angle (ne));
757 nw_dist = (ne rotated 90) * 0.5 pen_thick;
758 ne_dist = (nw rotated -90) * 0.5 pen_thick;
764 x4 := hround (x4' + .5 pen_thick) - .5 pen_thick;
765 x5 := hfloor (x5' + xpart rt_dist) - xpart rt_dist;
766 y6 := vfloor (y6' + ypart up_dist) - ypart up_dist;
768 crz_out = (z6 + up_dist)
769 -- (z3 + nw_dist){ne}
771 .. (z3 + ne_dist){-nw}
772 -- (z4 + ne_dist){-nw}
774 .. (z4 - nw_dist){-ne}
776 crz_out := crz_out shifted (0, feta_shift)
777 -- reverse crz_out yscaled -1 shifted (0, -feta_eps);
779 -- reverse crz_out xscaled -1 shifted (-feta_eps, 0)
783 x4 := hround (x4' - xpart rt_dist) + xpart rt_dist;
784 x5 := hceiling (x5' - .5 pen_thick) + .5 pen_thick;
785 y6 := vfloor (y6' - .5 pen_thick) + .5 pen_thick;
787 crz_in = (bot z6){right}
788 .. (z6 - nw_dist){ne}
791 -- (z5 + nw_dist){-ne}
793 crz_in := crz_in shifted (0, feta_shift)
794 -- reverse crz_in yscaled -1 shifted (0, -feta_eps);
796 -- reverse crz_in xscaled -1 shifted (-feta_eps, 0)
801 currentpicture := currentpicture shifted (hround (w / 2), 0);
804 charwy := y1 + feta_shift;
806 z12 = (charwx * hppp, y1 * vppp);
812 fet_beginchar ("Whole Crossed notehead", "s0cross");
815 wid# := black_notehead_width# + 4 stafflinethickness#;
816 hei# := noteheight# + stafflinethickness#;
818 set_char_box (0, wid#, hei# / 2, hei# / 2);
822 remember_pic := currentpicture;
824 draw_staff (-2, 2, 0);
829 fet_beginchar ("Whole Crossed notehead", "s0cross");
832 wid# := black_notehead_width# + 4 stafflinethickness#;
833 hei# := noteheight# + stafflinethickness#;
835 set_char_box (0, wid#, hei# / 2, hei# / 2);
837 currentpicture := remember_pic;
839 draw_staff (-2, 2, 0.5);
844 fet_beginchar ("Half Crossed notehead", "s1cross");
847 wid# := black_notehead_width# + 2 stafflinethickness#;
848 hei# := noteheight# + stafflinethickness# / 2;
850 set_char_box (0, wid#, hei# / 2, hei# / 2);
854 remember_pic := currentpicture;
856 draw_staff (-2, 2, 0);
861 fet_beginchar ("Half Crossed notehead", "s1cross");
864 wid# := black_notehead_width# + 2 stafflinethickness#;
865 hei# := noteheight# + stafflinethickness# / 2;
867 set_char_box (0, wid#, hei# / 2, hei# / 2);
869 currentpicture := remember_pic;
871 draw_staff (-2, 2, 0.5);
876 fet_beginchar ("Crossed notehead", "s2cross");
877 wid# := black_notehead_width#;
879 set_char_box (0, wid#, hei# / 2, hei# / 2);
883 remember_pic := currentpicture;
885 draw_staff (-2, 2, 0);
890 fet_beginchar ("Crossed notehead", "s2cross");
891 wid# := black_notehead_width#;
893 set_char_box (0, wid#, hei# / 2, hei# / 2);
895 currentpicture := remember_pic;
897 draw_staff (-2, 2, 0.5);
902 fet_beginchar ("X-Circled notehead", "s2xcircle");
904 save cthick, cxd, cyd, dy;
906 wid# := black_notehead_width# * sqrt (sqrt2);
907 hei# := noteheight# * sqrt (sqrt2);
909 set_char_box (0, wid#, hei# / 2, hei# / 2);
911 d := d - feta_space_shift;
913 cthick# := (1.2 + 1/4) * stafflinethickness#;
914 define_blacker_pixels (cthick);
917 cyd := h + d - cthick / 2;
921 pickup pencircle scaled cthick;
923 fill fullcircle xscaled (cxd + cthick)
924 yscaled (cyd + cthick)
926 unfill fullcircle xscaled (cxd - cthick)
927 yscaled (cyd - cthick)
930 xpos := .5 cxd / sqrt2;
931 ypos := .5 cyd / sqrt2;
933 pickup penrazor scaled cthick rotated (angle (xpos, ypos) + 90);
934 draw (-xpos + w / 2, -ypos + dy) -- (xpos + w / 2, ypos + dy);
936 pickup penrazor scaled cthick rotated (angle (xpos, -ypos) + 90);
937 draw (-xpos + w / 2, ypos + dy) -- (xpos + w / 2, -ypos + dy);
942 z12 = (charwx * hppp, charwy * vppp);
945 remember_pic := currentpicture;
947 draw_staff (-2, 2, 0);
952 fet_beginchar ("X-Circled notehead", "s2xcircle");
954 save cthick, cxr, cyr;
956 wid# := black_notehead_width# * sqrt (sqrt2);
957 hei# := noteheight# * sqrt (sqrt2);
959 set_char_box (0, wid#, hei# / 2, hei# / 2);
961 currentpicture := remember_pic;
963 draw_staff (-2, 2, 0.5);
973 save solfa_pen_thick;
974 solfa_pen_thick# = 1.75 stafflinethickness#;
975 define_blacker_pixels (solfa_pen_thick);
978 save solfa_base_notewidth;
979 solfa_base_notewidth# := black_notehead_width#;
981 solfa_whole_width := whole_notehead_width# / black_notehead_width#;
982 solfa_half_width := half_notehead_width# / black_notehead_width#;
983 solfa_quarter_width := 1.0;
985 def draw_do_head (expr width_factor, dir) =
987 save left_dist, right_dist;
989 pair left_dist, right_dist;
991 set_char_box (0, width_factor * solfa_base_notewidth#,
992 0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
994 pickup pencircle scaled solfa_pen_thick;
1003 left_dist = (unitvector (z3 - z1) rotated 90) * 0.5 solfa_pen_thick;
1004 right_dist = (unitvector (z2 - z3) rotated 90) * 0.5 solfa_pen_thick;
1006 p_in := (((z1 - left_dist) -- (z3 - left_dist)) intersectionpoint
1008 -- ((top z1 -- top z2) intersectionpoint
1009 ((z2 - right_dist) -- (z3 - right_dist)))
1010 -- (((z2 - right_dist) -- (z3 - right_dist)) intersectionpoint
1011 ((z1 - left_dist) -- (z3 - left_dist)))
1017 .. (z2 + right_dist){z3 - z2}
1018 -- (z3 + right_dist){z3 - z2}
1020 .. (z3 + left_dist){z1 - z3}
1021 -- (z1 + left_dist){z1 - z3}
1029 charwy := -chardp + 0.5 stafflinethickness#;
1036 fet_beginchar ("Whole dohead", "s0do");
1037 draw_do_head (solfa_whole_width, 1);
1043 fet_beginchar ("Half dohead", "d1do");
1044 draw_do_head (solfa_half_width, -1);
1050 fet_beginchar ("Half dohead", "u1do");
1051 draw_do_head (solfa_half_width, 1);
1057 fet_beginchar ("Quart dohead", "d2do");
1058 draw_do_head (solfa_quarter_width, -1);
1063 fet_beginchar ("Quart dohead", "u2do");
1064 draw_do_head (solfa_quarter_width, 1);
1070 % re - flat top, curved bottom:
1071 % (0,h/2) {dir -90} .. (w/2,-h/2) .. {dir 90} (w,h/2) -- cycle;
1072 % (broader along the base and with more vertical sides for half and
1074 % stem attachment: h/2
1077 def draw_re_head (expr width_factor, dir) =
1081 set_char_box (0, width_factor * solfa_base_notewidth#,
1082 0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
1084 pickup pencircle scaled solfa_pen_thick;
1091 y2 = curve_start [y3, y1];
1099 labels (range 1 thru 5);
1101 p_in := (z1 + 0.5 solfa_pen_thick * (1, -1))
1105 -- (z5 + 0.5 solfa_pen_thick * (-1, -1))
1118 charwy := curve_start [-chardp, charht];
1126 fet_beginchar ("Whole rehead", "s0re");
1127 draw_re_head (solfa_whole_width, 1);
1133 fet_beginchar ("Half up rehead", "u1re");
1134 draw_re_head (solfa_half_width, 1);
1140 fet_beginchar ("Half down rehead", "d1re");
1141 draw_re_head (solfa_half_width, -1);
1147 fet_beginchar ("Quart rehead", "u2re");
1148 draw_re_head (solfa_quarter_width, 1);
1153 fet_beginchar ("Quart rehead", "d2re");
1154 draw_re_head (solfa_quarter_width, -1);
1159 def draw_mi_head (expr width_factor) =
1160 save path_out, path_in;
1161 save ne_dist, se_dist, ne, se;
1162 path path_out, path_in;
1163 pair ne_dist, se_dist, ne, se;
1165 set_char_box (0, width_factor * solfa_base_notewidth#,
1166 0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
1168 pickup pencircle scaled solfa_pen_thick;
1179 z6 - z5 = whatever * (z2 - z1);
1180 z8 - z7 = whatever * (z2 - z1);
1181 z8 - z5 = whatever * (z4 - z1);
1182 z6 - z7 = whatever * (z4 - z1);
1184 ne = unitvector (z4 - z1);
1185 se = unitvector (z1 - z2);
1187 ne_dist = (ne rotated 90) * 0.5 solfa_pen_thick;
1188 se_dist = (se rotated 90) * 0.5 solfa_pen_thick;
1190 z5 = whatever [z1, z4] - ne_dist;
1191 z5 = whatever [z1, z2] - 1.5 se_dist;
1193 z5 - z1 = -(z7 - z3);
1195 labels (range 1 thru 8);
1204 .. (z1 + se_dist){-se}
1205 -- (z2 + se_dist){-se}
1207 .. (z2 - ne_dist){ne}
1208 -- (z3 - ne_dist){ne}
1210 .. (z3 - se_dist){se}
1211 -- (z4 - se_dist){se}
1213 .. (z4 + ne_dist){-ne}
1214 -- (z1 + ne_dist){-ne}
1219 fet_beginchar ("Whole mihead", "s0mi");
1220 draw_mi_head (solfa_whole_width);
1226 fet_beginchar ("Half mihead", "s1mi");
1227 draw_mi_head (solfa_quarter_width);
1233 fet_beginchar ("Quart mihead", "s2mi");
1234 draw_mi_head (solfa_quarter_width);
1239 def draw_fa_head (expr width_factor) =
1240 set_char_box (0, width_factor * solfa_base_notewidth#,
1241 0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
1243 save p_down_in, p_down_out, p_up_in, p_up_out, nw_dist, nw;
1244 path p_down_in, p_down_out, p_up_in, p_up_out;
1247 pickup pencircle scaled solfa_pen_thick;
1260 labels (1, 2, 3, 4);
1262 nw = unitvector (z1 - z3);
1263 nw_dist = (nw rotated 90) * 0.5 solfa_pen_thick;
1265 p_up_in := (((z1 - nw_dist) -- (z3 - nw_dist)) intersectionpoint
1267 -- (((z1 - nw_dist) -- (z3 - nw_dist)) intersectionpoint
1269 -- (z2 + 0.5 solfa_pen_thick * (-1, -1))
1272 p_up_out := lft z1{down}
1273 .. (z1 + nw_dist){-nw}
1274 -- (z3 + nw_dist){-nw}
1282 p_down_in := p_up_in rotated 180 shifted (w, 0);
1283 p_down_out := p_up_out rotated 180 shifted (w, 0);
1290 fet_beginchar ("Whole fa up head", "u0fa");
1291 draw_fa_head (solfa_whole_width);
1297 fet_beginchar ("Whole fa down head", "d0fa");
1298 draw_fa_head (solfa_whole_width);
1304 fet_beginchar ("half fa up head", "u1fa");
1305 draw_fa_head (solfa_half_width);
1311 fet_beginchar ("Half fa down head", "d1fa");
1312 draw_fa_head (solfa_half_width);
1318 fet_beginchar ("Quarter fa up head", "u2fa");
1319 draw_fa_head (solfa_quarter_width);
1324 fet_beginchar ("Quarter fa down head", "d2fa");
1325 draw_fa_head (solfa_quarter_width);
1330 def draw_la_head (expr width_factor) =
1331 set_char_box (0, width_factor * solfa_base_notewidth#,
1332 0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
1336 pickup pencircle scaled solfa_pen_thick;
1349 labels (range 1 thru 4);
1351 p_in := (z1 + 0.5 solfa_pen_thick * (1, -1))
1352 -- (z2 + 0.5 solfa_pen_thick * (-1, -1))
1353 -- (z3 + 0.5 solfa_pen_thick * (-1, 1))
1354 -- (z4 + 0.5 solfa_pen_thick * (1, 1))
1369 fet_beginchar ("Whole lahead", "s0la");
1370 draw_la_head (solfa_whole_width);
1376 fet_beginchar ("Half lahead", "s1la");
1377 draw_la_head (solfa_half_width);
1383 fet_beginchar ("Quart lahead", "s2la");
1384 draw_la_head (solfa_quarter_width);
1389 def draw_ti_head (expr width_factor, dir) =
1390 set_char_box (0, width_factor * solfa_base_notewidth#,
1391 0.5 solfa_noteheight#, 0.5 solfa_noteheight#);
1392 save p_in, p_out, p_top;
1393 save nw_dist, sw_dist, nw, sw;
1394 path p_in, p_out, p_top;
1395 pair nw_dist, sw_dist, nw, sw;
1399 pickup pencircle scaled solfa_pen_thick;
1404 y2 = cone_height [y1, y3];
1410 labels (range 1 thru 4);
1412 nw = unitvector (z2 - z1);
1413 sw = unitvector (z1 - z4);
1415 nw_dist = (nw rotated 90) * 0.5 solfa_pen_thick;
1416 sw_dist = (sw rotated 90) * 0.5 solfa_pen_thick;
1418 p_top := (z2 - sw_dist)
1422 p_in := (((z1 - nw_dist) -- (z2 - nw_dist)) intersectionpoint
1423 ((z1 - sw_dist) -- (z4 - sw_dist)))
1424 -- (((z1 - nw_dist) -- (z2 - nw_dist)) intersectionpoint
1425 ((z2 + sw_dist) .. {right}(bot z3)))
1427 .. (((bot z3){right} .. (z4 + nw_dist)) intersectionpoint
1428 ((z1 - sw_dist) -- (z4 - sw_dist)))
1435 .. (z2 - sw_dist){direction 0 of p_top}
1437 & {direction infinity of p_top}(z4 - nw_dist)
1444 charwy := cone_height [-chardp, charht];
1451 fet_beginchar ("Whole up tihead", "s0ti");
1452 draw_ti_head (solfa_whole_width, 1);
1458 fet_beginchar ("Half up tihead", "u1ti");
1459 draw_ti_head (solfa_half_width, 1);
1465 fet_beginchar ("Half down tihead", "d1ti");
1466 draw_ti_head (solfa_half_width, -1);
1472 fet_beginchar ("Quart up tihead", "u2ti");
1473 draw_ti_head (solfa_quarter_width, 1);
1478 fet_beginchar ("Quart down tihead", "d2ti");
1479 draw_ti_head (solfa_quarter_width, -1);
1484 fet_endgroup ("noteheads");
1488 % we derive black_notehead_width# from the quarter head,
1489 % so we have to define black_notehead_width (pixel qty)
1490 % after the black_notehead_width# itself.
1492 % Let's keep it outside the group as well.
1495 define_pixels (black_notehead_width);