-%
+% -*-Fundamental-*-
% feta-bolletjes.mf -- implement noteheads
%
% source file of LilyPond's pretty-but-neat music font
%
-% (c) 1997 Jan Nieuwenhuizen <jan@digicash.com>
-% & Han-Wen Nienhuys <hanwen@stack.nl>
+% (c) 1997--2002 Jan Nieuwenhuizen <janneke@gnu.org>
+% & Han-Wen Nienhuys <hanwen@cs.uu.nl>
+% & Juergen Reuter <reuter@ipd.uka.de>
%
save black_notehead_width;
numeric black_notehead_width;
-fet_begingroup("balls");
+fet_begingroup("noteheads");
-noteheight#:=interline#+ (1 + overdone_heads) *stafflinethickness#;
+noteheight#:=staff_space#+ (1 + overdone_heads) *stafflinethickness#;
define_pixels(noteheight);
-brevis_wid# := 2 interline#;
-
-def draw_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;
- penpos1(stem_width, 0);
- penpos2(stem_width, 0);
- penpos3(beamheight, 90);
- penpos4(beamheight, 90);
- penpos5(stem_width, 180);
-
- 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);
-
- penlabels(1,2,3,4, 5);
- fill z1r -- z1l -- z5r{down} .. z5l{up} .. z3l{right}
- -- z4l -- z4r -- z3r{left} .. z2r{up} -- cycle;
-
- addto currentpicture also currentpicture yscaled -1;
- show z4r; show z4l;
- addto currentpicture also currentpicture
- shifted (-x4r,0) xscaled -1 shifted (x4l,0);
-
-enddef;
-
-save uitsteek;
- uitsteek = .25;
-def draw_ledger(expr wid)=
- set_char_box(uitsteek * wid, (1+ uitsteek)*wid,
- ledgerlinethickness#/2,ledgerlinethickness#/2);
- pickup pencircle scaled ledgerlinethickness;
- rt x2 = w;
- lft x1 = -b;
- y1 = y2 = 0;
- draw z1 .. z2;
-enddef;
-
-fet_beginchar("Brevis notehead", "-1", "brevisball")
- draw_brevis(brevis_wid#);
-fet_endchar;
-fet_beginchar("Brevis ledger", "-1l", "brevisledger")
- draw_ledger(brevis_wid#);
-fet_endchar;
%
-% Some sources (eg Musix/OpusTeX think that the appendage should be on
-% the right, my only other ref [Willemze], shows an appendage to the left
-%
-fet_beginchar("Longa notehead", "-2", "longaball");
- draw_brevis(brevis_wid#);
- save theta;
- z7 = z5;
- z6 - z7 = (-stem_width/2, -interline);
- theta = angle(z6-z7)+ 90;
- penpos7(stem_width, theta);
- penpos6(1.2 stem_width, theta);
-
- fill z7r .. z6r{z6-z7} .. {z7-z6} z6l -- z7l -- cycle;
- penlabels(6,7);
-fet_endchar;
-fet_beginchar("Longa ledger", "-2l", "longaledger")
- draw_ledger(brevis_wid#);
-fet_endchar;
+%%% TODO: Document these!
+%
% setup user vars
def setup_notehead_vars =
enddef;
-% whole note
-% Wanske, p.38
-fet_beginchar("Whole notehead", "0", "wholeball")
+def draw_whole_head =
setup_notehead_vars;
a_b:=1.80;
notehead_calc;
whole_notehead_width# := wd#;
notehead_draw;
-fet_endchar;
+enddef;
-fet_beginchar("Whole ledger line", "0l", "wholeledger")
- draw_ledger(whole_notehead_width#);
+%
+% dimensions aren't entirely right.
+%
+fet_beginchar ("Brevis notehead", "-1", "brevishead");
+ save stemthick, fudge;
+ define_pixels (stemthick);
+ fudge = blot_diameter /2;
+ stemthick# = 2 stafflinethickness#;
+
+ draw_whole_head;
+
+ pickup pencircle scaled stemthick;
+
+ bot y1 = -d;
+ top y2 = h;
+ rt x1 - fudge = 0;
+ x1 = x2;
+
+ fudge + lft x3 = w;
+ x4 = x3;
+ y4 = y2;
+ y3 = y1;
+
+ draw z1 -- z2;
+ draw z3 -- z4;
+fet_endchar;
+
+% whole note
+% Wanske, p.38
+fet_beginchar("Whole notehead", "0", "wholehead")
+ draw_whole_head;
fet_endchar;
+
+
% half note
% Wanske, p.39
fet_beginchar("Half notehead", "1",
- "halfball")
+ "halfhead")
setup_notehead_vars;
% a_b:=1.49; % after text
a_b:=1.50; % after drawing
fet_endchar;
-fet_beginchar("Half ledger", "1l", "halfledger")
- draw_ledger(half_notehead_width#);
-fet_endchar;
% quarter note
% Wanske p.38
-fet_beginchar("Quart notehead", "2", "quartball")
+fet_beginchar("Quart notehead", "2", "quarthead")
setup_notehead_vars;
% a_b:=1.57; % after text
a_b:=1.54; % after drawing
fet_endchar;
-fet_beginchar("Quart ledger", "2l", "quartledger")
- draw_ledger(black_notehead_width#);
+% whole note
+% Wanske, p.38
+fet_beginchar("Whole diamondhead", "0diamond", "wholediamondhead")
+ setup_notehead_vars;
+
+ a_b:=1.80;
+ err_y_a:=0; % no slant
+ tilt:=0;
+ superness:=0.495;
+ ai_a:=0.350;
+ % ai_bi:=1.23;
+ ai_bi:=1.30; % jcn
+ % err_y_ai:=0.0938;
+ % err_x_bi:=0;
+ err_y_ai:=0;
+ err_x_bi:=0.115;
+ % inner_tilt:=135;
+ inner_tilt:=125; % jcn
+ % inner_superness:=0.69;
+ inner_superness:=0.6; % jcn
+ b_h:=1; %no rotate-> no height correction
+ a_w:=1; % no rotate-> no width correction
+
+ notehead_calc;
+ whole_notehead_width# := wd#;
+ notehead_draw;
+fet_endchar;
+
+
+% half note
+% Wanske, p.39
+fet_beginchar("Half diamondhead", "1diamond",
+ "halfdiamondhead")
+ setup_notehead_vars;
+
+ a_b := 1.50; % after drawing
+ err_y_a:=0.157;
+
+ tilt:=34;
+ superness:=0.49; % jcn
+ ai_a:=0.550; % jcn
+ ai_bi:=3.30; % jcn
+
+ err_y_ai:=0;
+ err_x_bi:=-0.12;
+ inner_tilt:=tilt;
+ inner_superness:=0.80;
+
+ b_h:= 1.03;
+ a_w:= 1.2;
+
+ notehead_calc;
+ half_notehead_width# := wd#;
+ notehead_draw;
+fet_endchar;
+
+
+% quarter note
+% Wanske p.38
+fet_beginchar("Quart diamondhead", "2diamond", "diamondhead")
+ set_char_box(0, black_notehead_width#, noteheight#/2, noteheight#/2);
+ save a_b,err_y_a,tilt,superness;
+ save b_h,a_w;
+ save a,beta,ai,bi, ht, wd;
+
+ a_b:= 1.8;
+ err_y_a:=-0.044;
+ b_h:=0.90;
+ a_w:=1.1;
+ tilt:=35;
+ superness:=0.495;
+
+ ht# =noteheight#;
+ 2beta#=ht#*b_h;
+ a# = beta#*a_b;
+
+ define_pixels(a,beta);
+
+ black := distorted_ellipse(.72 noteheight, .45 noteheight, -.2 noteheight , 0, superness)
+
+% beta,a*err_y_a,0,superness);
+
+ black:=black rotated tilt;
+ black:=black shifted (w/2,0);
+ fill black;
+fet_endchar;
+
+
+
+begingroup;
+def def_triangle =
+ save triangle,kern; path triangle;
+ kern = 1/3(x2-x1);
+ z2 = z1 rotated 120;
+ z3 = z1 rotated 240;
+ z12 = caveness[.5[z1,z2],z3];
+ z23 = z12 rotated 120;
+ z31 = z12 rotated 240;
+ triangle = z1 .. z12 .. z2 ..
+ z2 .. z23 .. z3 ..
+ z3 .. z31 .. z1 ..
+ cycle;
+ triangle := triangle shifted (-x1+pent/2-kern,0) xscaled xs;
+ pickup pencircle scaled pent xscaled xs;
+ hei = max(y1,-y2)+pent/2;
+ %set_char_box(-kern*xs*fac, ((x3-x1)*fac+pent#)*xs,hei*fac,hei*fac);
+ set_char_box(0, ((x3-x1-kern)*fac+pent#)*xs,hei*fac,hei*fac);
+enddef;
+save fac,pent;
+fac = noteheight#/noteheight;
+pent# = 2stafflinethickness#;
+define_pixels(pent);
+
+
+fet_beginchar("Whole trianglehead", "0triangle", "wholetrianglehead")
+ save hei,xs;
+ z1 = dir(130)*3/4noteheight;
+ xs = 1.5;
+ caveness:=0.1;
+ def_triangle;
+ draw triangle;
+fet_endchar;
+
+fet_beginchar("Half trianglehead", "1triangle", "halftrianglehead")
+ save hei,xs;
+ z1 = dir(130)*2/3noteheight;
+ xs = 1.2;
+ caveness:=0.1;
+ def_triangle;
+ draw triangle;
+fet_endchar;
+
+fet_beginchar("Quart trianglehead", "2triangle", "trianglehead")
+ save hei,xs;
+ z1 = dir(130)*2/3noteheight;
+ xs = 1.0;
+ caveness:=0.1;
+ def_triangle;
+ filldraw triangle;
+fet_endchar;
+
+endgroup;
+
+%%% Editable values:
+slope := 1.7; % slope of slash. From scm/grob-description.scm. How to auto-copy?
+slt# := 2/3*0.48staff_space#; % thickness of lines. quarter notes get 1.5slt width.
+slh# := 2staff_space#; % height of char.
+
+%%% Calculated values:
+sxa# := 0; % how much the char exceeds the boundingbox horizontally:
+slxt# := sqrt(slt#*slt#+(slt#/slope)*(slt#/slope)); % Width of hor. pen - with thanks to Pythagoras
+slw# := slh#/slope; % width of sloping part of slash:
+
+define_pixels(slt,slh,sxa,slxt,slw);
+
+def draw_slash(expr hwid_hash) =
+ wid# := slw#+2slxt#+hwid_hash;
+ set_char_box(0,wid#-2sxa#,slh#/2,slh#/2);
+ define_pixels (wid#);
+ pickup penrazor scaled slxt;
+ draw (-b+slxt/2-sxa,-d) -- (-b+slxt/2+slw-sxa,h);
+ draw (w-slxt/2-slw+sxa,-d) -- (w-slxt/2+sxa,h);
+ pickup penrazor scaled slt rotated 90;
+ draw (-b+slxt-sxa,-d+slt/2) -- (w-slw+sxa,-d+slt/2);
+ draw (-b+slw-sxa,h-slt/2) -- (w-slxt+sxa,h-slt/2);
+enddef;
+
+fet_beginchar("Whole slashhead","0slash","wholeslashhead")
+ draw_slash(staff_space#);
+fet_endchar;
+
+fet_beginchar("Half slashhead","1slash","halfslashhead")
+ draw_slash(0.6staff_space#);
+fet_endchar;
+
+fet_beginchar("Quart slashhead","2slash","quartslashhead")
+ draw_slash(-slxt#/2);
+fet_endchar;
+
+% thick is the distance between the two parallel lines in the cross (distance between centres of lines)
+def draw_cross(expr thick) =
+ pent := 1.2stafflinethickness;
+ pickup pencircle scaled pent;
+ % alfa is the slant of the lines (i.e. 1 means 45 degrees)
+ alfa := (2h-pent)/(w-pent);
+ % llen is the length of the little outer lines
+ % llen = thick / sin(2atan(alfa))
+ llen := thick/(ypart(dir(2angle(1,alfa))));
+ xa := llen/sqrt(1+alfa**2);
+ ya := xa*alfa;
+ xl := w/2-xa-pent/2;
+ yl := h-ya-pent/2;
+ save crz; path crz;
+ crz = (xa,0) -- (xa+xl,yl) -- (xl,yl+ya) -- (0,ya);
+ draw crz shifted(w/2,0);
+ draw crz xscaled -1 shifted(w/2,0);
+ draw crz yscaled -1 shifted(w/2,0);
+ draw crz scaled -1 shifted(w/2,0);
+enddef;
+
+fet_beginchar("Whole Crossed notehead", "0cross", "wholecrossedhead")
+ wid# := black_notehead_width#+4stafflinethickness#;
+ hei# := noteheight#+stafflinethickness#;
+ set_char_box(0, wid#,hei#/2,hei#/2);
+ draw_cross(3.75stafflinethickness);
+fet_endchar;
+
+fet_beginchar("Half Crossed notehead", "1cross", "halfcrossedhead")
+ wid# := black_notehead_width#+2stafflinethickness#;
+ hei# := noteheight#+stafflinethickness#/2;
+ set_char_box(0, wid#,hei#/2,hei#/2);
+ draw_cross(3stafflinethickness);
+fet_endchar;
+
+fet_beginchar("Crossed notehead", "2cross", "crossedhead")
+ wid# := black_notehead_width#;
+ hei# := noteheight#;
+ set_char_box(0, wid#,hei#/2,hei#/2);
+ draw_cross(stafflinethickness/4);
+fet_endchar;
+
+fet_beginchar("X-Circled notehead", "2xcircle", "xcircledhead")
+ wid# := black_notehead_width#*sqrt(sqrt2);
+ hei# := noteheight#*sqrt(sqrt2);
+ set_char_box(0, wid#,hei#/2,hei#/2);
+ cthick := (1.2+1/4)*stafflinethickness;
+ cxr := w/2-cthick/2;
+ cyr := h-cthick/2;
+ pickup pencircle scaled cthick;
+ draw fullcircle xscaled 2cxr yscaled 2cyr shifted (w/2,0);
+ xpos := cxr/sqrt2;
+ ypos := cyr/sqrt2;
+ draw (-xpos+w/2,-ypos) -- (xpos+w/2,ypos);
+ draw (-xpos+w/2,ypos) -- (xpos+w/2,-ypos);
+fet_endchar;
+
+
+%%%%%%%%%%%%
+%
+%
+% ledger (leger) lines
+%
+fet_beginchar("Ledger ending", "ledgerending", "ledgerending")
+set_char_box (5/2 ledgerlinethickness#, 5/2 ledgerlinethickness#,
+ ledgerlinethickness#/2,ledgerlinethickness#/2);
+ pickup pencircle scaled 1.3 blot_diameter;
+
+ rt x2 = w;
+ lft x1 = -b;
+ x3 = x2;
+ bot y1 = -d;
+ y2 = y1;
+
+ top y3 = h;
+ y4 = y3;
+ x4 = x1;
+
+ filldraw z1 --- z2 --- z3 --- z4 --- cycle ;
fet_endchar;
-fet_endgroup("balls");
+fet_endgroup("noteheads");
define_pixels(black_notehead_width);