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+% -%-Fundamental-%- -*-Metafont-*-
+% parmesan-heads.mf -- implement ancient note heads
+%
+% source file of LilyPond's pretty-but-neat music font
+%
+% (c) 2001--2009 Juergen Reuter <reuter@ipd.uka.de>
+%
+% Neo-mensural heads originally by
+% Christian Mondrup and Mats Bengtsson
+%
+
+save black_notehead_width;
+numeric black_notehead_width;
+
+fet_begingroup ("noteheads");
+
+%
+% character aligment:
+%
+% The head is assumed to be vertically centered around (0, 0).
+% The left-most edge of the head should touch the vertical line
+% that goes though the point (0, 0).
+%
+% set_char_box() conventions:
+%
+% * breapth: Ignored (as far as I know). Should be set to 0.
+%
+% * width: Should match the head's width.
+%
+% * depth: Should match the bottom edge of the head. Affects vertical
+% collision handling.
+%
+% * height: Should match the top edge of the head. Affects vertical
+% collision handling.
+%
+% TODO: should depth/height include appendages/stems?
+
+overdone_heads = 0;
+noteheight# := staff_space# + (1 + overdone_heads) * stafflinethickness#;
+define_pixels (noteheight);
+
+
+%%%%%%%%
+%
+%
+%
+% MENSURAL NOTATION
+%
+%
+%
+
+def draw_neomensural_brevis (expr brevwid) =
+ save beamheight, head_width;
+ save holeheight, stem_width;
+ save serif_size, serif_protrude;
+
+ head_width# = brevwid;
+ holeheight = 3 stafflinethickness;
+ stem_width = 1.4 stafflinethickness;
+
+ define_pixels (head_width);
+
+ set_char_box (0, head_width#,
+ noteheight# / 2, noteheight# / 2);
+
+ 2 beamheight + holeheight = noteheight;
+ serif_size = (holeheight - stafflinethickness) / 2;
+ serif_protrude = 1.5 serif_size;
+
+ z1l = (0, 0);
+ z2l = (0, -stafflinethickness / 2);
+ z3r = z2r + serif_size * (1, -1);
+ y4r = y3r;
+ x4r = head_width / 2;
+ z5l = z3l + (-serif_size, -serif_protrude);
+
+ penpos1 (stem_width, 0);
+ penpos2 (stem_width, 0);
+ penpos3 (beamheight, 90);
+ penpos4 (beamheight, 90);
+ penpos5 (stem_width, 180);
+
+ save pat_in, pat_out;
+ path pat_in, pat_out;
+
+ pat_out := z4l
+ -- z3l{left}
+ .. z5l{down}
+ .. z5r{up}
+ -- z1l;
+ pat_out := pat_out
+ -- reverse pat_out yscaled -1;
+ pat_out := pat_out
+ -- reverse pat_out shifted (-x4r, 0)
+ xscaled -1
+ shifted (x4l, 0)
+ -- cycle;
+ fill pat_out;
+
+ pat_in := z4r
+ -- z3r{left}
+ .. z2r{up}
+ -- z1r;
+ pat_in := pat_in
+ -- reverse pat_in yscaled -1;
+ pat_in := pat_in
+ -- reverse pat_in shifted (-x4r, 0)
+ xscaled -1
+ shifted (x4l, 0)
+ -- cycle;
+ unfill pat_in;
+
+ penlabels (1, 2, 3, 4, 5);
+enddef;
+
+
+%%% This head does not seem to be used anywhere. Junk me? -- jr
+def draw_neomensural_left_stemmed_head (expr wid) =
+ draw_neomensural_brevis (wid);
+
+ x6 = x7 = stem_width / 2;
+ y6 = y5;
+ y7 = y5 - 2.25 staff_space;
+
+ z17 = (x7, y7 - stem_width / 2);
+
+ penpos6 (stem_width, 0);
+ penpos7 (stem_width, 0);
+
+ fill z7l
+ -- z6l
+ -- z6r
+ -- z7r
+ .. z17
+ .. cycle;
+
+ penlabels (6, 7);
+ labels (17);
+enddef;
+
+
+%%% This head does not seem to be used anywhere. Junk me? -- jr
+fet_beginchar ("Left stemmed notehead", "slneomensural");
+ draw_neomensural_left_stemmed_head (2 staff_space#);
+fet_endchar;
+
+
+%
+% Some sources (eg. Musix/OpusTeX) think that the appendage should be on
+% the left, some say right. Right wins democratically.
+%
+def draw_neomensural_longa (expr wid) =
+ draw_neomensural_brevis (wid);
+
+ save theta;
+
+ x7r = head_width;
+ y7 = y5;
+ z6 - z7 = (stem_width / 2, -staff_space);
+ theta = angle (z6 - z7) + 90;
+
+ penpos7 (stem_width, 0);
+ penpos6 (1.2 stem_width, theta);
+
+ z7' = find_tangent (z6l, pat_out,
+ (x7l + 0.5 stem_width, y7l),
+ (x7l - 0.5 stem_width, y7l));
+
+ fill z7r
+ .. z6r{z6 - z7}
+ .. {z7 - z6}z6l
+ -- z7'
+ -- cycle;
+
+ penlabels (6, 7);
+ labels (7');
+enddef;
+
+
+%
+% En wij presenteren U: de opvolgster van Emily
+%
+% (ze is wel breed)
+%
+fet_beginchar ("Neo-mensural maxima notehead", "sM3neomensural");
+ draw_neomensural_longa (2.6 staff_space#);
+fet_endchar;
+
+
+fet_beginchar ("Neo-mensural longa notehead", "sM2neomensural");
+ draw_neomensural_longa (2 staff_space#);
+fet_endchar;
+
+
+fet_beginchar ("Neo-mensural brevis notehead", "sM1neomensural");
+ draw_neomensural_brevis (2 staff_space#);
+fet_endchar;
+
+
+def draw_neomensural_black_head (expr wid, height) =
+ save head_width;
+ save ne, nw, ne_dist, nw_dist;
+ pair ne, nw, ne_dist, nw_dist;
+
+ head_width# = wid;
+
+ set_char_box (0, head_width#,
+ height / 2, height / 2);
+
+ charwx := head_width# / 2;
+ charwy := height / 2;
+
+ y3 = y1 = 0;
+ x2 = x4 = (x1 + x3) / 2;
+
+ pickup pencircle scaled blot_diameter;
+
+ top y2 = h;
+ bot y4 = -d;
+ lft x1 = 0;
+ rt x3 = w;
+
+ ne := unitvector (z2 - z1);
+ nw_dist := (ne rotated 90) * 0.5 blot_diameter;
+ nw := unitvector (z2 - z3);
+ ne_dist := (nw rotated -90) * 0.5 blot_diameter;
+
+ fill lft z1{up}
+ .. (z1 + nw_dist){ne}
+ -- (z2 + nw_dist){ne}
+ .. top z2{right}
+ .. (z2 + ne_dist){-nw}
+ -- (z3 + ne_dist){-nw}
+ .. rt z3{down}
+ .. (z3 - nw_dist){-ne}
+ -- (z4 - nw_dist){-ne}
+ .. bot z4{left}
+ .. (z4 - ne_dist){nw}
+ -- (z1 - ne_dist){nw}
+ .. cycle;
+
+ labels (1, 2, 3, 4);
+enddef;
+
+
+def draw_neomensural_open_head (expr wid, height)=
+ draw_neomensural_black_head (wid, height);
+
+ save diamNW, diamSW;
+
+ diamNW = length (z2 - z1) + blot_diameter;
+ diamSW = length (z4 - z1) + blot_diameter;
+
+ save hole_widthNW, hole_widthSW;
+
+ hole_widthNW = 0.34 diamNW ;
+ hole_widthSW + 2.6 linethickness = diamSW;
+
+ (z7 + z5) / 2 = (w / 2, 0);
+ (z8 + z6) / 2 = (w / 2, 0);
+ z6 - z5 = hole_widthNW * unitvector (z2 - z1);
+ z7 - z6 = hole_widthSW * unitvector (z4 - z1);
+
+ unfill z5
+ -- z6
+ -- z7
+ -- z8
+ -- cycle;
+
+ labels (5, 6, 7, 8);
+enddef;
+
+
+%
+% WL says the thin lines should be thinner.
+%
+fet_beginchar ("Harmonic notehead (Neo-mensural open)", "s0harmonic");
+ draw_neomensural_open_head (1.3 staff_space#, 1.3 noteheight#);
+ charwx := head_width#;
+ charwy := 0;
+fet_endchar;
+
+
+fet_beginchar ("Harmonic notehead (Neo-mensural black)", "s2harmonic");
+ draw_neomensural_black_head (1.3 staff_space#, 1.3 noteheight#);
+ charwx := head_width#;
+ charwy := 0;
+fet_endchar;
+
+
+fet_beginchar ("Neo-mensural semibrevis head", "s0neomensural");
+ draw_neomensural_open_head (staff_space#, noteheight#);
+fet_endchar;
+
+
+fet_beginchar ("Neo-mensural minima head", "s1neomensural");
+ draw_neomensural_open_head (staff_space#, noteheight#);
+fet_endchar;
+
+
+fet_beginchar ("Neo-mensural semiminima head", "s2neomensural");
+ draw_neomensural_black_head (staff_space#, noteheight#);
+fet_endchar;
+
+
+def draw_mensural_brevis (expr wid) =
+ % TODO. For the moment, fall back to draw_neomensural_brevis.
+ draw_neomensural_brevis (wid);
+enddef;
+
+
+%%% This head does not seem to be used anywhere. Junk me? -- jr
+def draw_mensural_left_stemmed_head (expr wid) =
+ draw_mensural_brevis (wid);
+
+ x6 = x7 = stem_width / 2;
+ y6 = y5;
+ y7 = y5 - 2.25 staff_space;
+
+ z17 = (x7, y7 - stem_width / 2);
+
+ penpos6 (stem_width, 0);
+ penpos7 (stem_width, 0);
+
+ fill z7l
+ -- z6l
+ -- z6r
+ -- z7r
+ .. z17
+ .. cycle;
+
+ penlabels (6, 7);
+ labels (17);
+enddef;
+
+
+def draw_mensural_longa (expr wid) =
+ draw_mensural_brevis (wid);
+
+ x6 = x7 = head_width - stem_width / 2;
+ y6 = y5;
+ y7 = y5 - 2.25 staff_space;
+
+ z17 = (x7, y7 - stem_width / 2);
+
+ penpos6 (stem_width, 0);
+ penpos7 (stem_width, 0);
+
+ fill z7l
+ -- z6l
+ -- z6r
+ -- z7r
+ .. z17
+ .. cycle;
+
+ penlabels (6, 7);
+ labels (17);
+enddef;
+
+
+%%% This head does not seem to be used anywhere. Junk me? -- jr
+fet_beginchar ("Mensural left stemmed notehead", "slmensural");
+ draw_mensural_left_stemmed_head (staff_space#);
+fet_endchar;
+
+
+fet_beginchar ("Mensural maxima notehead", "sM3mensural");
+ draw_mensural_longa (2.0 staff_space#);
+fet_endchar;
+
+
+fet_beginchar ("Mensural longa notehead", "sM2mensural");
+ draw_mensural_longa (staff_space#);
+fet_endchar;
+
+
+fet_beginchar ("Mensural brevis notehead", "sM1mensural");
+ draw_mensural_brevis (staff_space#);
+fet_endchar;
+
+
+def draw_diamond_head (expr head_h, pen_w, pen_h, angle, open) =
+ save head_width, head_height;
+ save ellipse, ellipse_r;
+ path ellipse, ellipse_r, diamond_shape;
+
+ head_height# = head_h;
+ head_width# / head_height# = tand (angle);
+
+ set_char_box (0, head_width#,
+ head_height# / 2, head_height# / 2);
+
+ charwx := head_width# / 2;
+ charwy := head_height# / 2 - linethickness#;
+
+ define_pixels (head_width, head_height);
+
+ ellipse := reverse fullcircle
+ xscaled (max (blot_diameter, pen_w * head_width))
+ yscaled (max (blot_diameter, pen_h * head_width))
+ rotated -angle;
+
+ z1 = find_tangent_shift (((0, h) -- (0, -h)), ellipse,
+ (0, 0), (w / 2, 0));
+ z2 = find_tangent_shift (((0, h) -- (w, h)), ellipse,
+ (w / 2, h), (w / 2, 0));
+ z3 = find_tangent_shift (((w, h) -- (w, -h)), ellipse,
+ (w, 0), (w / 2, 0));
+ z4 = find_tangent_shift (((0, -h) -- (w, -h)), ellipse,
+ (w / 2, -h), (w / 2, 0));
+
+ diamond_shape := get_subpath (ellipse, z1 - z4, z2 - z1, z1)
+ -- get_subpath (ellipse, z2 - z1, z3 - z2, z2)
+ -- get_subpath (ellipse, z3 - z2, z4 - z3, z3)
+ -- get_subpath (ellipse, z4 - z3, z1 - z4, z4)
+ -- cycle;
+ fill diamond_shape;
+
+ if open:
+ save l;
+ path l[];
+
+ l12 := (directionpoint (z1 - z2) of ellipse) shifted z1
+ -- (directionpoint (z1 - z2) of ellipse) shifted z2;
+ l23 := (directionpoint (z2 - z3) of ellipse) shifted z2
+ -- (directionpoint (z2 - z3) of ellipse) shifted z3;
+ l34 := (directionpoint (z3 - z4) of ellipse) shifted z3
+ -- (directionpoint (z3 - z4) of ellipse) shifted z4;
+ l41 := (directionpoint (z4 - z1) of ellipse) shifted z4
+ -- (directionpoint (z4 - z1) of ellipse) shifted z1;
+
+ unfill l12 intersectionpoint l23
+ -- l23 intersectionpoint l34
+ -- l34 intersectionpoint l41
+ -- l41 intersectionpoint l12
+ -- cycle;
+ fi;
+
+ labels (1, 2, 3, 4);
+enddef;
+
+
+fet_beginchar ("Mensural semibrevis head", "s0mensural");
+ draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
+fet_endchar;
+
+
+fet_beginchar ("Mensural minima head", "s1mensural");
+ draw_diamond_head (staff_space#, 0.15, 0.30, 30, true);
+fet_endchar;
+
+
+fet_beginchar ("Mensural semiminima head", "s2mensural");
+ draw_diamond_head (staff_space#, 0.15, 0.30, 30, false);
+fet_endchar;
+
+
+fet_beginchar ("Petrucci semibrevis head", "s0petrucci");
+% draw_diamond_head (1.8 staff_space#, 0.15, 0.40, 30, true);
+ draw_neomensural_open_head (staff_space#, 1.8 staff_space#);
+fet_endchar;
+
+
+fet_beginchar ("Petrucci minima head", "s1petrucci");
+% draw_diamond_head (1.8 staff_space#, 0.15, 0.40, 30, true);
+ draw_neomensural_open_head (staff_space#, 1.8 staff_space#);
+fet_endchar;
+
+
+fet_beginchar ("Petrucci semiminima head", "s2petrucci");
+% draw_diamond_head (1.8 staff_space#, 0.15, 0.40, 30, false);
+ draw_neomensural_black_head (staff_space#, 1.8 staff_space#);
+fet_endchar;
+
+
+%%%%%%%%
+%
+%
+%
+% EDITIO VATICANA (including solesmes extensions)
+%
+%
+%
+
+def vat_punctum_char (expr verbose_name, internal_name,
+ linea, cavum, straight, auctum,
+ d_up, up_shift, down_shift, mag) =
+ fet_beginchar (verbose_name, "s" & internal_name);
+ save a_b, b_h, a_w;
+
+ a_b := 1.54; % b_h * a_b / a_w = wd / ht
+ b_h := 0.85;
+ a_w := 1.09;
+
+ save a, beta, ht, wd;
+
+ ht# = noteheight# * mag;
+ 2 beta = ht# * b_h;
+ a = beta * a_b;
+ wd# = 2 a / a_w;
+ black_notehead_width# := wd#;
+
+ % direction
+ save d_, d_sign;
+ pair d_;
+
+ if d_up:
+ d_ := up;
+ d_sign := 1;
+ else:
+ d_ := down;
+ d_sign := -1;
+ fi;
+
+ % convexity and eccentricity
+ save u_convexity, u_eccentricity;
+
+ if straight:
+ u_convexity# := -0.01 ht#;
+ u_eccentricity# := 0.0 ht#; % dummy
+ elseif auctum:
+ u_convexity# := -0.03 ht#;
+ u_eccentricity# := +0.25 ht#;
+ else:
+ u_convexity# := -0.05 ht#;
+ u_eccentricity# := 0.0 ht#; % dummy
+ fi;
+
+ save convexity, eccentricity;
+
+ convexity# := d_sign * u_convexity#;
+ eccentricity# := d_sign * u_eccentricity#;
+
+ % y shift offset
+ save yoffs;
+
+ if up_shift:
+ yoffs# := 0.08 ht#;
+ elseif down_shift:
+ yoffs# := -0.11 ht#;
+ else:
+ yoffs# := 0.00 ht#;
+ fi;
+
+ define_pixels (convexity, eccentricity, yoffs, ht, wd);
+
+ pickup pencircle scaled linethickness;
+
+ save height, yoffs_bt, p, circle, circle_r;
+ path p, circle, circle_r;
+
+ height# = 0.47 ht#;
+ yoffs_bt# = yoffs# - 0.5 height# - 0.25 convexity#;
+
+ define_pixels (height, yoffs_bt);
+
+ circle := fullcircle scaled linethickness;
+
+ x1 = x6;
+ x2 = x5;
+ x3 = x4;
+ y1 + height = y6;
+ y2 + height = y5;
+ y3 + height = y4;
+
+ save box_top, box_bt;
+
+ if auctum:
+ z1 = (0.00 wd + linethickness / 2, yoffs_bt);
+ z2 = (0.21 wd, yoffs_bt + convexity);
+ z3 = (0.42 wd - linethickness/ 2,
+ yoffs_bt + eccentricity);
+ box_top# = height# + yoffs_bt# +
+ max (0, convexity#, eccentricity#);
+ box_bt# = yoffs_bt# +
+ min (0, convexity#, eccentricity#);
+ p = z1
+ .. {right}z2
+ .. {d_}z3
+ -- z4{-d_}
+ .. z5{left}
+ .. z6
+ -- cycle;
+ else:
+ z1 = (0.00 wd + linethickness / 2, yoffs_bt);
+ z2 = (0.21 wd, yoffs_bt + convexity);
+ z3 = (0.42 wd - linethickness / 2, yoffs_bt);
+ box_top# = height# + yoffs_bt# + max (0, convexity#);
+ box_bt# = yoffs_bt# + min (0, convexity#);
+ p = z1
+ .. z2
+ .. z3
+ -- z4
+ .. z5
+ .. z6
+ -- cycle;
+ fi;
+
+ labels (1, 2, 3, 4, 5, 6);
+
+ save dirs;
+ pair dirs[];
+
+ dirs12 := direction (0 + epsilon) of p;
+ dirs2 := direction 1 of p;
+ dirs32 := direction (2 - epsilon) of p;
+ dirs45 := direction (3 + epsilon) of p;
+ dirs5 := direction 4 of p;
+ dirs65 := direction (5 - epsilon) of p;
+
+ fill get_subpath (circle, down, dirs12, z1)
+ .. (bot z2){dirs2}
+ .. get_subpath (circle, dirs32, up, z3)
+ -- get_subpath (circle, up, dirs45, z4)
+ .. (top z5){dirs5}
+ .. get_subpath (circle, dirs65, down, z6)
+ -- cycle;
+
+ if cavum:
+ save pat, t;
+ path pat[];
+ numeric t[];
+
+ pat123 := ((directionpoint -dirs12 of circle)
+ shifted z1){dirs12}
+ .. (top z2){dirs2}
+ .. {dirs32}((directionpoint -dirs32 of circle)
+ shifted z3);
+ pat34 := lft z3
+ -- lft z4;
+ pat456 := ((directionpoint -dirs45 of circle)
+ shifted z4){dirs45}
+ .. (bot z5){dirs5}
+ .. {dirs65}((directionpoint -dirs65 of circle)
+ shifted z6);
+ pat61 := rt z6
+ -- rt z1;
+
+ t61 := ypart (pat61 intersectiontimes pat123);
+ t12 := xpart (pat123 intersectiontimes pat34);
+ t34 := ypart (pat34 intersectiontimes pat456);
+ t45 := xpart (pat456 intersectiontimes pat61);
+
+ unfill subpath (t61, t12) of pat123
+ -- subpath (t34, t45) of pat456
+ -- cycle;
+ fi;
+
+ set_char_box (0.00 wd#, 0.42 wd#,
+ max (0, -box_bt#) + linethickness# / 2,
+ max (0, box_top#) + linethickness# / 2);
+
+ if linea:
+ save linea_width, linea_height;
+
+ linea_width# = 0.6 linethickness#;
+ linea_height# = 0.7 ht#;
+
+ define_pixels (linea_width, linea_height);
+
+ pickup pencircle scaled 0.6 linethickness;
+
+ draw_rounded_block ((-0.10 wd - linea_width / 2,
+ -linea_height / 2),
+ (-0.10 wd + linea_width / 2,
+ +linea_height / 2),
+ 0.6 linethickness);
+ draw_rounded_block ((+0.52 wd - linea_width / 2,
+ -linea_height / 2),
+ (+0.52 wd + linea_width / 2,
+ +linea_height / 2),
+ 0.6 linethickness);
+
+ set_char_box (0, 0.62 wd# + linea_width#,
+ linea_height# / 2,
+ linea_height# / 2);
+
+ currentpicture := currentpicture
+ shifted (0.10 wd + linea_width / 2, 0);
+ fi;
+ fet_endchar;
+enddef;
+
+
+def plica_char (expr verbose_name, internal_name,
+ d_up, mag) =
+ fet_beginchar (verbose_name, "s" & internal_name);
+ save a_b, b_h, a_w;
+
+ a_b := 1.54; % b_h * a_b / a_w = wd / ht
+ b_h := 0.85;
+ a_w := 1.09;
+
+ save a, beta, ht, wd;
+
+ ht# = noteheight# * mag;
+ 2 beta = ht# * b_h;
+ a = beta * a_b;
+ wd# = 2 a / a_w;
+ black_notehead_width# := wd#;
+
+ % direction
+ save d_, d_sign;
+ pair d_;
+
+ if d_up:
+ d_ := up;
+ d_sign := 1;
+ else:
+ d_ := down;
+ d_sign := -1;
+ fi;
+
+ % convexity and eccentricity
+ save convexity, eccentricity;
+
+ convexity# := d_sign * -0.10 ht#;
+ eccentricity# := d_sign * -0.12 ht#;
+
+ % y shift offset
+ save yoffs;
+
+ yoffs# := -0.11 ht#;
+
+ define_pixels (convexity, eccentricity, yoffs, ht, wd);
+
+ pickup pencircle scaled linethickness;
+
+ save height, yoffs_bt, p, circle, circle_r;
+ path p, circle, circle_r;
+
+ height# = 0.47 ht#;
+ yoffs_bt# = yoffs# - 0.5 height# - 0.25 convexity#;
+
+ define_pixels (height, yoffs_bt);
+
+ circle := fullcircle scaled linethickness;
+
+ x1 = x6;
+ x2 = x5;
+ x3 = x4;
+ y1 + height = y6;
+ y2 + height = y5;
+ y3 + height = y4;
+
+ save box_top, box_bt;
+
+ z1 = (0.00 wd + linethickness / 2, yoffs_bt);
+ z2 = (0.21 wd, yoffs_bt + convexity);
+ z3 = (0.42 wd - linethickness/ 2, yoffs_bt + eccentricity);
+ box_top# = height# + yoffs_bt# +
+ max (0, convexity#, eccentricity#);
+ box_bt# = yoffs_bt# +
+ min (0, convexity#, eccentricity#);
+ p = z1
+ .. z2{right}
+ .. z3
+ -- z4
+ .. z5{left}
+ .. z6
+ -- cycle;
+
+ labels (1, 2, 3, 4, 5, 6);
+
+ save dirs;
+ pair dirs[];
+
+ dirs12 := direction (0 + epsilon) of p;
+ dirs2 := direction 1 of p;
+ dirs32 := direction (2 - epsilon) of p;
+ dirs45 := direction (3 + epsilon) of p;
+ dirs5 := direction 4 of p;
+ dirs65 := direction (5 - epsilon) of p;
+
+ fill get_subpath (circle, down, dirs12, z1)
+ .. (bot z2){dirs2}
+ .. get_subpath (circle, dirs32, up, z3)
+ -- get_subpath (circle, up, dirs45, z4)
+ .. (top z5){dirs5}
+ .. get_subpath (circle, dirs65, down, z6)
+ -- cycle;
+
+ pickup pencircle scaled 0.6 linethickness;
+
+ save stem_bt;
+
+ set_char_box (0.00 wd#, 0.42 wd#,
+ max (0, -box_bt#) + linethickness# / 2,
+ max (0, box_top#) + linethickness# / 2);
+
+ fet_endchar;
+enddef;
+
+
+def epiphonus_char (expr verbose_name, internal_name,
+ left_stem, d_up, down_shift, mag) =
+ fet_beginchar (verbose_name, "s" & internal_name);
+ save a_b, b_h, a_w;
+
+ a_b := 1.54; % b_h * a_b / a_w = wd / ht
+ b_h := 0.85;
+ a_w := 1.09;
+
+ save a, beta, ht, wd;
+
+ ht# = noteheight# * mag;
+ 2 beta = ht# * b_h;
+ a = beta * a_b;
+ wd# = 2 a / a_w;
+ black_notehead_width# := wd#;
+
+ % direction
+ save d_, d_sign;
+ pair d_;
+
+ if d_up:
+ d_ := up;
+ d_sign := 1;
+ else:
+ d_ := down;
+ d_sign := -1;
+ fi;
+
+ % convexity and eccentricity
+ save convexity;
+
+ convexity# := d_sign * -0.05ht#;
+
+ % y shift offset
+ save yoffs;
+
+ if down_shift:
+ yoffs# := -0.11 ht#;
+ else:
+ yoffs# := 0.00 ht#;
+ fi;
+
+ define_pixels (convexity, yoffs, ht, wd);
+
+ pickup pencircle scaled linethickness;
+
+ save height, yoffs_bt, p, circle, circle_r;
+ path p, circle, circle_r;
+
+ height# = 0.47 ht#;
+ yoffs_bt# = yoffs# - 0.5 height# - 0.25 convexity#;
+
+ define_pixels (height, yoffs_bt);
+
+ circle := fullcircle scaled linethickness;
+
+ x1 = x6;
+ x2 = x5;
+ x3 = x4;
+ y1 + height = y6;
+ y2 + height = y5;
+ y3 + height = y4;
+
+ save box_top, box_bt;
+
+ z1 = (0.00 wd + linethickness / 2, yoffs_bt - 2.5 convexity);
+ z2 = (0.06 wd, yoffs_bt + 1.4 convexity);
+ z3 = (0.42 wd - linethickness / 2, yoffs_bt - 1.0 convexity);
+ box_top# = height# + yoffs_bt# +
+ max (-1.0 convexity#, 1.4 convexity#, 0);
+ box_bt# = yoffs_bt# +
+ min (-1.0 convexity#, 1.4 convexity#, 0);
+ p = z1{-d_}
+ .. {curl 1}z2{right}
+ .. z3
+ -- z4
+ .. {left}z5{curl 1}
+ .. {d_}z6
+ -- cycle;
+
+ labels (1, 2, 3, 4, 5, 6);
+
+ save dirs;
+ pair dirs[];
+
+ dirs12 := direction (0 + epsilon) of p;
+ dirs21 := direction (1 - epsilon) of p;
+ dirs23 := direction (1 + epsilon) of p;
+ dirs32 := direction (2 - epsilon) of p;
+ dirs45 := direction (3 + epsilon) of p;
+ dirs54 := direction (4 - epsilon) of p;
+ dirs56 := direction (4 + epsilon) of p;
+ dirs65 := direction (5 - epsilon) of p;
+
+ fill get_subpath (circle, down, dirs12, z1)
+ .. get_subpath (circle, dirs21, dirs23, z2)
+ .. get_subpath (circle, dirs32, up, z3)
+ -- get_subpath (circle, up, dirs45, z4)
+ .. get_subpath (circle, dirs54, dirs56, z5)
+ .. get_subpath (circle, dirs65, down, z6)
+ -- cycle;
+
+ save stem_bt;
+
+ if left_stem:
+ pickup pencircle scaled 0.6 linethickness;
+
+ lft x11 = x1 - linethickness / 2;
+ bot y11 = yoffs - 1.1 ht - linethickness / 2;
+ x12 = x11;
+ y12 = y1;
+
+ draw_rounded_block (bot lft z11, top rt z12,
+ 0.6 linethickness);
+ stem_bt# = yoffs# - 1.1 ht#;
+
+ labels (11, 12);
+ else:
+ stem_bt# = 0;
+ fi;
+
+ set_char_box (0.00 wd#, 0.42 wd#,
+ max (0, -box_bt#, -stem_bt#) + linethickness# / 2,
+ max (0, box_top#) + linethickness# / 2);
+ fet_endchar;
+enddef;
+
+
+def inclinatum_char (expr verbose_name, internal_name,
+ small, stropha, auctum) =
+ fet_beginchar (verbose_name, "s" & internal_name);
+ save ht, alpha;
+
+ alpha := 35;
+
+ if small:
+ ht# = 0.50 noteheight#;
+ else:
+ ht# = 0.80 noteheight#;
+ fi;
+
+ draw_diamond_head (ht#, 0, 0, alpha, false);
+
+ save off_angle;
+
+ off_angle := alpha + 15;
+
+ save stropha_ellipse, auctum_hook, circle;
+ path stropha_ellipse, auctum_hook, circle;
+
+ circle := reverse fullcircle scaled linethickness;
+
+ stropha_ellipse := fullcircle xscaled 0.25 head_height
+ yscaled 0.55 head_height
+ rotated alpha;
+
+ z11 = z12
+ + linethickness / 2 * dir (180 - off_angle)
+ - directionpoint dir (90 - off_angle)
+ of stropha_ellipse;
+ z12 = directionpoint -dir (90 - off_angle) of diamond_shape +
+ linethickness / 2 * dir (180 - off_angle);
+ z13 = (0, -0.5 head_height + linethickness);
+
+ auctum_hook := z12{-dir (90 - off_angle)}
+ .. {dir (90 + alpha)}z13;
+
+ labels (12);
+
+ if (stropha and not auctum):
+ clearit;
+
+ save t_in, t_out;
+
+ t_in := xpart ((stropha_ellipse shifted z11)
+ intersectiontimes
+ get_subpath (diamond_shape,
+ left, up,
+ (0, 0)));
+ t_out := xpart ((stropha_ellipse shifted z11)
+ intersectiontimes
+ get_subpath (diamond_shape,
+ up, right,
+ (0, 0)));
+
+ % the addition or subtraction of `1' is necessary
+ % so that we get the right starting point
+ fill get_subpath_i (diamond_shape,
+ dir (angle (z2 - z1) - 1),
+ dir (angle (z1 - z4) + 1),
+ (0, 0))
+ -- get_subpath (stropha_ellipse,
+ direction t_in of stropha_ellipse,
+ direction t_out of stropha_ellipse,
+ z11)
+ -- cycle;
+
+ labels (11);
+ fi;
+
+ if (auctum and not stropha):
+ clearit;
+
+ fill get_subpath (diamond_shape,
+ left,
+ -dir (90 - off_angle),
+ (0, 0))
+ .. get_subpath (circle,
+ dir (90 + alpha),
+ -dir (90 + alpha),
+ z13)
+ .. get_subpath (circle,
+ dir (90 - off_angle),
+ right,
+ z12)
+ -- cycle;
+
+ labels (13);
+ fi;
+
+ if (auctum and stropha):
+ clearit;
+
+ save t;
+
+ t := xpart ((stropha_ellipse shifted z11)
+ intersectiontimes
+ get_subpath (diamond_shape, up, right,
+ (0, 0)));
+
+ % the addition or subtraction of `1' is necessary
+ % so that we get the right starting point
+ fill get_subpath_i (diamond_shape,
+ dir (angle (z2 - z1) - 1),
+ -dir (90 - off_angle),
+ (0, 0))
+ .. get_subpath (circle,
+ dir (90 + alpha),
+ -dir (90 + alpha),
+ z13)
+ .. get_subpath (stropha_ellipse,
+ dir (90 - off_angle),
+ direction t of stropha_ellipse,
+ z11)
+ -- cycle;
+
+ labels (11, 13);
+ fi;
+ fet_endchar;
+enddef;
+
+
+% punctum
+vat_punctum_char ("Ed. Vat. punctum", "vaticana.punctum",
+ false, false, false, false,
+ false, false, false, 1.0);
+
+
+% punctum cavum (for OpusTeX compatibility)
+vat_punctum_char ("Ed. Vat. punctum cavum", "vaticana.punctum.cavum",
+ false, true, false, false,
+ false, false, false, 1.0);
+
+
+% linea punctum (for OpusTeX compatibility)
+vat_punctum_char ("Ed. Vat. linea punctum", "vaticana.linea.punctum",
+ true, false, false, false,
+ false, false, false, 1.0);
+
+
+% linea punctum cavum (for OpusTeX compatibility)
+vat_punctum_char ("Ed. Vat. linea punctum cavum", "vaticana.linea.punctum.cavum",
+ true, true, false, false,
+ false, false, false, 1.0);
+
+
+% punctum inclinatum
+inclinatum_char ("Ed. Vat. inclinatum", "vaticana.inclinatum",
+ false, false, false);
+
+
+% pes lower punctum
+vat_punctum_char ("Ed. Vat. pes lower punctum", "vaticana.lpes",
+ false, false, true, false,
+ true, false, false, 1.0);
+
+
+% pes lower punctum
+vat_punctum_char ("Ed. Vat. pes var lower punctum", "vaticana.vlpes",
+ false, false, true, false,
+ true, false, true, 1.0);
+
+
+% pes upper punctum
+vat_punctum_char ("Ed. Vat. pes upper punctum", "vaticana.upes",
+ false, false, true, false,
+ false, false, false, 1.0);
+
+
+% pes upper punctum (shifted variation)
+%
+% This note head is used instead of the regular pes upper punctum to
+% avoid collision with the lower punctum note of the pes when the upper
+% punctum sits directly on top of the lower punctum.
+%
+vat_punctum_char ("Ed. Vat. var pes upper punctum", "vaticana.vupes",
+ false, false, true, false,
+ false, true, false, 1.0);
+
+
+% small punctum as used in epiphonus
+vat_punctum_char ("Ed. Vat. plica", "vaticana.plica",
+ false, false, false, false,
+ false, false, false, 0.6);
+
+
+% small punctum as used in epiphonus
+plica_char ("Ed. Vat. var plica", "vaticana.vplica",
+ false, 0.6);
+
+
+% eccentric punctum as used in epiphonus
+epiphonus_char ("Ed. Vat. epiphonus", "vaticana.epiphonus",
+ false, true, false, 1.0);
+
+
+% eccentric punctum as used in epiphonus (shifted variation)
+%
+% This note head is used instead of the regular epiphonus punctum to
+% avoid collision with the plica head when the plica sits directly on
+% top of the lower head.
+%
+epiphonus_char ("Ed. Vat. var epiphonus", "vaticana.vepiphonus",
+ false, true, true, 1.0);
+
+
+% small punctum as used in cephalicus
+vat_punctum_char ("Ed. Vat. rev. plica", "vaticana.reverse.plica",
+ false, false, false, false,
+ true, false, false, 0.6);
+
+
+% small punctum as used in cephalicus
+plica_char ("Ed. Vat. rev. var plica", "vaticana.reverse.vplica",
+ true, 0.6);
+
+
+% eccentric punctum as used in cephalicus; without left stem
+epiphonus_char ("Ed. Vat. inner cephalicus", "vaticana.inner.cephalicus",
+ false, false, false, 1.0);
+
+
+% eccentric punctum as used in cephalicus; with left stem
+epiphonus_char ("Ed. Vat. cephalicus", "vaticana.cephalicus",
+ true, false, false, 1.0);
+
+
+% quilisma
+fet_beginchar ("Ed. Vat. quilisma", "svaticana.quilisma");
+ save a_b, b_h, a_w;
+
+ a_b := 1.54; % b_h * a_b / a_w = wd / ht
+ b_h := 0.85;
+ a_w := 1.09;
+
+ save a, beta, ht, wd;
+
+ ht# = noteheight#;
+ 2 beta = ht# * b_h;
+ a = beta * a_b;
+ wd# = 2 a / a_w;
+
+ set_char_box (0, 0.42 wd#, 0.28 ht#, 0.36 ht#);
+
+ black_notehead_width# := wd#;
+
+ define_pixels (ht, wd);
+
+ save ellipse, T;
+ path ellipse;
+ transform T;
+
+ T := identity xscaled linethickness
+ yscaled 0.44 ht;
+ pickup pencircle transformed T;
+ ellipse := reverse fullcircle transformed T;
+
+ z1 = (rt 0.00 wd, top -0.28 ht);
+ z2 = (0.11 wd, -0.14 ht);
+ z3 = (0.12 wd, +0.03 ht);
+ z4 = (0.25 wd, -0.09 ht);
+ z5 = (0.25 wd, +0.08 ht);
+ z6 = (lft 0.42 wd, -0.04 ht);
+ z7 = (lft 0.40 wd, bot +0.36 ht);
+
+ fill get_subpath (ellipse, z1 - z2, z2 - z1, z1)
+ -- get_subpath (ellipse, z2 - z1, z1 - z2, z2)
+ -- cycle;
+ fill get_subpath (ellipse, z3 - z4, z4 - z3, z3)
+ -- get_subpath (ellipse, z4 - z3, z3 - z4, z4)
+ -- cycle;
+ fill get_subpath (ellipse, z5 - z6, z6 - z5, z5)
+ -- point 0 of get_subpath (ellipse, z6 - z5, z5 - z6, z6)
+ -- get_subpath (ellipse, z7 - z6, z6 - z7, z7)
+ -- get_subpath (ellipse, z6 - z7, z5 - z6, z6)
+ -- cycle;
+
+ labels (1, 2, 3, 4, 5, 6, 7);
+fet_endchar;
+
+
+% solesmes punctum inclinatum parvum
+inclinatum_char ("Solesmes punctum inclinatum parvum", "solesmes.incl.parvum",
+ true, false, false);
+
+
+% solesmes punctum auctum ascendens
+vat_punctum_char ("Solesmes punctum auctum ascendens", "solesmes.auct.asc",
+ false, false, false, true,
+ true, false, false, 1.0);
+
+
+% solesmes punctum auctum descendens
+vat_punctum_char ("Solesmes punctum auctum descendens", "solesmes.auct.desc",
+ false, false, false, true,
+ false, false, false, 1.0);
+
+
+% solesmes punctum inclinatum auctum
+inclinatum_char ("Solesmes punctum incl. auctum", "solesmes.incl.auctum",
+ false, false, true);
+
+
+% solesmes stropha
+inclinatum_char ("Solesmes stropha", "solesmes.stropha",
+ false, true, false);
+
+
+% solesmes stropha aucta
+inclinatum_char ("Solesmes stropha aucta", "solesmes.stropha.aucta",
+ false, true, true);
+
+
+% solesmes oriscus
+fet_beginchar ("Solesmes oriscus", "ssolesmes.oriscus");
+ save a_b, b_h, a_w;
+
+ a_b := 1.54; % b_h * a_b / a_w = wd / ht
+ b_h := 0.85;
+ a_w := 1.09;
+
+ save a, beta, ht, wd;
+
+ ht# = noteheight#;
+ 2 beta = ht# * b_h;
+ a = beta * a_b;
+ wd# = 2 a / a_w;
+ black_notehead_width# := wd#;
+
+ save convexity;
+
+ convexity# = +0.05 ht#;
+
+ define_pixels (ht, wd, convexity);
+
+ set_char_box (0.00 wd#, 0.50 wd#,
+ 0.25 ht# + convexity#, 0.25 ht# + convexity#);
+
+ z1 = (0.00 wd + blot_diameter / 2, -convexity);
+ z2 = (1/6 wd, +convexity);
+ z3 = (2/6 wd, -convexity);
+ z4 = (0.50 wd - blot_diameter / 2, +convexity);
+
+
+ save height;
+
+ height = 2 ypart (directionpoint right of (z1
+ .. z2
+ .. z3
+ .. z4));
+
+ save ellipse, T;
+ path ellipse;
+ transform T;
+
+ T := identity xscaled blot_diameter
+ yscaled (h + d - height);
+ pickup pencircle transformed T;
+ ellipse := fullcircle transformed T;
+
+ % Adjust vertical coordinates to touch bounding box.
+ y1 := top -d;
+ y4 := bot h;
+
+ save d_;
+ pair d_;
+
+ d_ := direction 0 of (z1
+ .. z2
+ .. z3
+ .. z4);
+
+ fill get_subpath (ellipse, -d_, d_, z1)
+ .. bot z2
+ .. bot z3
+ .. get_subpath (ellipse, d_, -d_, z4)
+ .. top z3
+ .. top z2
+ .. cycle;
+
+ labels (1, 2, 3, 4);
+fet_endchar;
+
+
+%%%%%%%%
+%
+%
+%
+% EDITIO MEDICAEA
+%
+%
+%
+
+% inclinatum
+fet_beginchar ("Ed. Med. inclinatum", "smedicaea.inclinatum");
+ draw_diamond_head (1.2 staff_space#, 0, 0, 35, false);
+fet_endchar;
+
+
+def med_punctum_char (expr verbose_name, internal_name,
+ left_up_stem, left_down_stem) =
+ fet_beginchar (verbose_name, "s" & internal_name);
+ save a, ht, wd;
+
+ ht# = 2 staff_space#;
+ wd# = ht#;
+ black_notehead_width# := wd#;
+
+ define_pixels (ht, wd);
+
+ save ellipse;
+ path ellipse;
+
+ ellipse := fullcircle xscaled blot_diameter
+ yscaled 0.50 ht;
+
+ z1 = (0.00 wd + blot_diameter / 2, 0);
+ z2 = (0.4 wd - blot_diameter / 2, 0);
+
+ labels (1, 2);
+
+ pickup pencircle scaled linethickness;
+
+ if left_down_stem:
+ z4 = (0.00 wd + linethickness / 2, -1.25 ht);
+
+ fill get_subpath (ellipse, left, down, z1)
+ -- top lft z4{down}
+ .. z4{right}
+ .. top rt z4{up}
+ -- (rt x4, -.5 ht / 2)
+ -- get_subpath (ellipse, right, left, z2)
+ -- cycle;
+
+ labels (4);
+
+ set_char_box (0.0, 0.4 wd#, 1.25 ht#, 0.25 ht#);
+ elseif left_up_stem:
+ z4 = (0.00 wd + linethickness / 2, +1.25 ht);
+
+ fill get_subpath (ellipse, down, right, z1)
+ -- get_subpath (ellipse, right, left, z2)
+ -- (rt x4, .5 ht / 2)
+ -- bot rt z4{up}
+ .. z4{left}
+ .. bot lft z4{down}
+ -- cycle;
+
+ labels (4);
+
+ set_char_box (0.0, 0.4 wd#, 0.25 ht#, 1.25 ht#);
+ else:
+ fill get_subpath (ellipse, left, right, z1)
+ -- get_subpath (ellipse, right, left, z2)
+ -- cycle;
+
+ set_char_box (0.0, 0.4 wd#, 0.25 ht#, 0.25 ht#);
+ fi;
+
+ fet_endchar;
+enddef;
+
+
+% punctum
+med_punctum_char ("Ed. Med. punctum", "medicaea.punctum",
+ false, false);
+
+
+% left up-stemmed punctum
+med_punctum_char ("Ed. Med. reverse virga", "medicaea.rvirga",
+ true, false);
+
+
+% virga (i.e. left down-stemmed punctum)
+med_punctum_char ("Ed. Med. virga", "medicaea.virga",
+ false, true);
+
+
+%%%%%%%%
+%
+%
+%
+% HUFNAGEL
+%
+%
+%
+
+def huf_punctum_char (expr verbose_name, internal_name,
+ down_stem) =
+ fet_beginchar (verbose_name, "s" & internal_name);
+ save alpha;
+
+ alpha = 55;
+
+ draw_diamond_head (staff_space#, 0, 0, alpha, false);
+
+ if down_stem:
+ set_char_box (0, head_width#,
+ 1.5 staff_space#, head_height# / 2);
+
+ save ellipse;
+ path ellipse;
+
+ ellipse := reverse fullcircle xscaled blot_diameter
+ yscaled 0.7 staff_space
+ rotated -alpha;
+
+ z11 = (head_width / 2, 0);
+ z12 = find_tangent_shift (((0, -d) -- (w, -d)), ellipse,
+ (w / 2, -d), (w / 2, 0));
+
+ fill get_subpath (ellipse, up, down, z11)
+ -- get_subpath (ellipse, down, up, z12)
+ -- cycle;
+
+ labels (11, 12);
+ fi;
+ fet_endchar;
+enddef;
+
+
+% punctum
+huf_punctum_char ("Hufnagel punctum", "hufnagel.punctum", false)
+
+
+% virga
+huf_punctum_char ("Hufnagel virga", "hufnagel.virga", true)
+
+
+% pes lower punctum
+fet_beginchar ("Hufnagel pes lower punctum", "shufnagel.lpes")
+ save width, height, alpha;
+
+ width# = 2 * staff_space#;
+ height# = 0.7 * staff_space#;
+ alpha = 35;
+
+ set_char_box (0, width#, height# / 2, height# / 2);
+
+ define_pixels (width, height);
+
+ save circle;
+ path circle;
+
+ circle := reverse fullcircle scaled linethickness;
+
+ pickup pencircle scaled linethickness;
+
+ rt x3 = -lft x1 = width / 2;
+ y2 = y3 = height / 2;
+ y1 = y4 = -height / 2;
+
+ tand (alpha) * (y2 - y1) = x2 - x1 = x3 - x4;
+
+ fill get_subpath (circle, left, z2 - z1, z1)
+ -- get_subpath (circle, z2 - z1, right, z2)
+ -- get_subpath (circle, right, z4 - z3, z3)
+ -- get_subpath (circle, z4 - z3, left, z4)
+ -- cycle;
+
+ currentpicture := currentpicture shifted (width/2, 0);
+
+% labels (1, 2, 3, 4);
+fet_endchar;
+
+
+fet_endgroup ("noteheads");