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+% -%-Fundamental-%- -*-Metafont-*-
+% parmesan-accidentals.mf -- implement ancient accidentals
+%
+% source file of LilyPond's pretty-but-neat music font
+%
+% (c) 2001--2009 Juergen Reuter <reuter@ipd.uka.de>
+%
+
+fet_begingroup ("accidentals");
+
+
+%%%%%%%%
+%
+%
+%
+% EDITIO MEDICAEA
+%
+%
+%
+fet_beginchar ("Ed. Med. Flat" , "medicaeaM1");
+ set_char_box (0.1 staff_space#, 0.6 staff_space#,
+ 0.6 staff_space#, 1.0 staff_space#);
+
+ save ellipse, pat, outline, T;
+ path ellipse, pat, outline;
+ transform T;
+
+ T := identity xscaled 0.50 linethickness
+ yscaled 0.22 staff_space;
+ pickup pencircle transformed T;
+ ellipse := fullcircle transformed T;
+
+ x1 = x2 = 0;
+ top y1 = h;
+ bot y2 = -d;
+
+ fill get_subpath (ellipse, up, down, z1)
+ -- get_subpath (ellipse, down, up, z2)
+ -- cycle;
+
+ T := identity xscaled 0.50 linethickness
+ yscaled 0.22 staff_space
+ rotated -63;
+ pickup pencircle transformed T;
+ ellipse := fullcircle transformed T;
+
+ z3 = (0.10 staff_space, -0.50 staff_space);
+ z4 = (0.40 staff_space, +0.40 staff_space);
+ z5 = (0.10 staff_space, +0.40 staff_space);
+
+ pat := z3{(1, 2)}
+ .. z4
+ .. z5{(-1, -1)};
+
+ % the original envelope curve created with `draw' contains
+ % cusps which we avoid
+ outline := get_subpath (ellipse, -direction 0 of pat,
+ direction 0 of pat, z3)
+ .. get_subpoint (ellipse, direction 1 of pat, z4)
+ .. get_subpath (ellipse, direction 2 of pat,
+ -direction 1.8 of pat, z5)
+ .. get_subpoint (ellipse, -direction 1 of pat, z4)
+ {-direction 1 of pat}
+ .. cycle;
+
+ save shift;
+ pair shift;
+
+ % make the outline touch the bounding box
+ shift = find_tangent_shift (((w, -d) -- (w, h)), outline,
+ (b, 0), (-b, 0));
+ outline := outline shifted shift;
+
+ fill outline;
+
+ labels (1, 2, 3, 4, 5);
+fet_endchar;
+
+
+%%%%%%%%
+%
+%
+%
+% EDITIO VATICANA
+%
+%
+%
+fet_beginchar ("Ed. Vat. Flat" , "vaticanaM1");
+ z1 = (0.00 staff_space, +0.80 staff_space);
+ z2 = (0.00 staff_space, -0.08 staff_space);
+ z3 = (0.25 staff_space, -0.23 staff_space);
+ z4 = (0.50 staff_space, -0.24 staff_space);
+ z5 = (0.50 staff_space, +0.03 staff_space);
+ z6 = (0.25 staff_space, +0.20 staff_space);
+ z7 = (0.15 staff_space, +0.26 staff_space);
+
+ save pat, ellipse, T;
+ path pat, ellipse;
+ transform T;
+
+ T := identity xscaled 0.50 linethickness
+ yscaled 0.22 staff_space;
+ pickup pencircle transformed T;
+ ellipse := fullcircle transformed T;
+
+ pat := z1
+ -- z2{down}
+ ... z3
+ ... {up}z4
+ -- z5{up}
+ .. z6
+ .. z7;
+
+ % the original envelope curve created with `draw' contains
+ % cusps which we avoid
+ fill get_subpath (ellipse, up, down, z1)
+ -- get_subpath (ellipse, down, direction 1.1 of pat, z2)
+ ... bot z3
+ ... get_subpath (ellipse, direction 2.9 of pat, up, z4)
+ -- get_subpath (ellipse, up, direction 4.1 of pat, z5)
+ .. top z6
+ .. get_subpath (ellipse,
+ direction 6 of pat, -direction 6 of pat, z7)
+ .. bot z6
+ .. {down}bot lft z5
+ -- top lft z4{down}
+ ... top z3
+ ... top rt z2{up}
+ -- cycle;
+
+ set_char_box (0.00 staff_space# + 0.25 linethickness#,
+ 0.50 staff_space# + 0.25 linethickness#,
+ 0.23 staff_space# + 0.11 staff_space#,
+ 0.80 staff_space# + 0.11 staff_space#);
+
+ labels (1, 2, 3, 4, 5, 6, 7);
+fet_endchar;
+
+
+fet_beginchar ("Ed. Vat. Natural" , "vaticana0");
+ save ellipse, T;
+ path ellipse;
+ transform T;
+
+ T := identity xscaled 0.80 linethickness
+ yscaled 0.22 staff_space;
+ pickup pencircle transformed T;
+ ellipse := fullcircle transformed T;
+
+ z1 = (0.00 staff_space, +0.65 staff_space);
+ z2 = (0.00 staff_space, -0.35 staff_space);
+
+ fill get_subpath (ellipse, up, down, z1)
+ -- get_subpath (ellipse, down, up, z2)
+ -- cycle;
+
+ pickup penrazor scaled 0.22 staff_space
+ rotated 90;
+
+ z3 = (0.00 staff_space, -0.30 staff_space);
+ z4 = (0.40 staff_space, -0.08 staff_space);
+
+ draw z3
+ -- z4;
+
+ addto currentpicture also currentpicture
+ xscaled -1
+ yscaled -1
+ shifted (0.40 staff_space, 0.0 staff_space);
+
+ set_char_box (0.00 staff_space# + 0.40 linethickness#,
+ 0.40 staff_space# + 0.40 linethickness#,
+ 0.65 staff_space# + 0.11 staff_space#,
+ 0.65 staff_space# + 0.11 staff_space#);
+
+ labels (1, 2, 3, 4);
+fet_endchar;
+
+
+%%%%%%%%
+%
+%
+%
+% MENSURAL NOTATION
+%
+%
+%
+fet_beginchar ("Mensural Sharp" , "mensural1");
+ save stemthick;
+
+ define_pixels (stemthick);
+
+ stemthick# = linethickness#;
+
+ save circle, pat, T;
+ path circle, pat;
+ transform T;
+
+ T := identity scaled 0.8 stemthick;
+ pickup pencircle transformed T;
+ circle := fullcircle transformed T;
+
+ z1 = 0.4 staff_space * (0.8, 1);
+ z1 = -z2;
+
+ pat := get_subpath (circle, z1 - z2, z2 - z1, z1)
+ -- get_subpath (circle, z2 - z1, z1 - z2, z2)
+ -- cycle;
+
+ fill pat;
+ fill pat xscaled -1;
+ fill pat shifted (0.20 staff_space, 0);
+ fill pat xscaled -1 shifted (0.20 staff_space, 0);
+
+ set_char_box (0.8 * 0.4 staff_space# + 0.4 stemthick#,
+ (0.8 * 0.4 + 0.2) * staff_space# + 0.4 stemthick#,
+ 0.4 staff_space# + 0.4 stemthick#,
+ 0.4 staff_space# + 0.4 stemthick#);
+
+ labels (1, 2);
+fet_endchar;
+
+
+fet_beginchar ("Mensural Flat" , "mensuralM1");
+ save stemthick;
+
+ define_pixels (stemthick);
+
+ stemthick# = linethickness#;
+
+ save ellipse, pat, outline, T;
+ path ellipse, pat, outline;
+ transform T;
+
+ T := identity xscaled 1.4 stemthick
+ yscaled 0.6 stemthick
+ rotated 45;
+ pickup pencircle transformed T;
+ ellipse := fullcircle transformed T;
+
+ z1 = (0.00 staff_space, +1.80 staff_space);
+ z2 = (0.00 staff_space, -0.25 staff_space);
+ z3 = (0.35 staff_space, -0.25 staff_space);
+ z4 = (0.35 staff_space, +0.25 staff_space);
+ z5 = (0.00 staff_space, +0.25 staff_space);
+
+ pat := z2
+ .. z3
+ .. z4
+ .. z5;
+
+ save dirs, s;
+ pair dirs[];
+
+ s := 1/4;
+
+ % we approximate `draw pat'
+ for i = 2 step s until (length pat + 2):
+ dirs[i] := direction (i - 2) of pat;
+ endfor;
+
+ outline := get_subpath (ellipse, up, down, z1)
+ -- get_subpath (ellipse, down, dirs2, z2)
+ for i = (2 + s) step s until (length pat + 2 - s):
+ .. get_subpoint (ellipse, dirs[i],
+ point (i - 2) of pat)
+ endfor
+ .. top z5
+ -- bot z5
+ for i = (length pat + 2 - s) step -s until 2:
+ .. get_subpoint (ellipse, -dirs[i],
+ point (i - 2) of pat)
+ endfor
+ -- get_subpoint (ellipse, up, z2)
+ -- cycle;
+
+ fill outline;
+
+ set_char_box (0.00 staff_space# + 0.75 stemthick#,
+ 0.40 staff_space# + 0.75 stemthick#,
+ 0.25 staff_space# + 0.75 stemthick#,
+ 1.80 staff_space# + 0.75 stemthick#);
+
+ labels (1, 2, 3, 4, 5);
+fet_endchar;
+
+
+fet_beginchar ("Hufnagel Flat" , "hufnagelM1");
+ save stemthick;
+
+ define_pixels (stemthick);
+
+ stemthick# = linethickness#;
+
+ save ellipse, pat, T;
+ path ellipse, pat;
+ transform T;
+
+ T := identity xscaled 2.4 stemthick
+ yscaled 0.4 stemthick
+ rotated 45;
+ pickup pencircle transformed T;
+ ellipse := fullcircle transformed T;
+
+ z1 = (0.00 staff_space, +1.80 staff_space);
+ z2 = (0.00 staff_space, -0.15 staff_space);
+ z3 = (0.25 staff_space, -0.30 staff_space);
+ z4 = (0.50 staff_space, +0.00 staff_space);
+ z5 = (0.30 staff_space, +0.30 staff_space);
+ z6 = (0.00 staff_space, +0.15 staff_space);
+
+ pat := z3
+ .. z4
+ .. z5;
+
+ save t;
+ numeric t[];
+
+ % we have to find the envelope intersections (if any)
+ t1 = find_envelope_cusp (reverse ellipse, pat, 1/256) + 3;
+ if t1 < 3:
+ t1 := 3;
+ fi;
+ t2 = find_envelope_cusp (ellipse, reverse pat, 1/256);
+ if t2 < 0:
+ t2 := 3;
+ else:
+ t2 := length pat - t2 + 3;
+ fi;
+
+ save dirs, s;
+ pair dirs[];
+
+ s := 1/8;
+
+ % we approximate `draw pat'
+ for i = 3 step s until 5:
+ dirs[i] := direction (i - 3) of pat;
+ endfor;
+
+ fill get_subpath (ellipse, up, down, z1)
+ -- get_subpath (ellipse, down, z3 - z2, z2)
+ -- get_subpoint (ellipse, z3 - z2, z3)
+ for i = 3 step s until 5:
+ .. get_subpoint (ellipse, dirs[i],
+ point (i - 3) of pat)
+ endfor
+ .. get_subpoint (ellipse, z6 - z5, z5)
+ -- get_subpoint (ellipse, z6 - z5, z6)
+ -- get_subpoint (ellipse, z5 - z6, z6)
+ -- get_subpoint (ellipse, z5 - z6, z5)
+ -- get_subpoint (ellipse, -dirs[5], z5)
+ for i = (5 - s) step -s until t2:
+ .. get_subpoint (ellipse, -dirs[i],
+ point (i - 3) of pat)
+ endfor
+ .. get_subpoint (ellipse, -direction (t2 - 3) of pat,
+ point (t2 - 3) of pat)
+ -- get_subpoint (ellipse, -direction (t1 - 3) of pat,
+ point (t1 - 3) of pat)
+ for i = (floor ((t1 - 3) / s) * s + 3) step -s until (3 + s):
+ .. get_subpoint (ellipse, -dirs[i],
+ point (i - 3) of pat)
+ endfor
+ .. get_subpoint (ellipse, -dirs[3], z3)
+ -- get_subpoint (ellipse, z2 - z3, z3)
+ -- get_subpoint (ellipse, z2 - z3, z2)
+ -- get_subpoint (ellipse, up, z2)
+ -- cycle;
+
+% draw z1
+% -- z2
+% -- pat
+% -- z6;
+
+ set_char_box (0.00 staff_space# + 1.0 stemthick#,
+ 0.50 staff_space# + 1.0 stemthick#,
+ 0.30 staff_space# + 0.5 stemthick#,
+ 1.80 staff_space# + 0.5 stemthick#);
+
+ labels (1, 2, 3, 4, 5, 6);
+fet_endchar;
+
+
+fet_endgroup ("accidentals");