-%
+% -*-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--2001 Jan Nieuwenhuizen <janneke@gnu.org>
+% & Han-Wen Nienhuys <hanwen@cs.uu.nl>
%
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#;
+
+
+%%%%%%%%
+%
+%
+%
+% MENSURAL NOTATION
+%
+%
+%
+brevis_wid# := 2 staff_space#;
def draw_brevis(expr brevwid) =
save beamheight, head_width;
-- z4l -- z4r -- z3r{left} .. z2r{up} -- cycle;
addto currentpicture also currentpicture yscaled -1;
- addto currentpicture also currentpicture reflectedabout(z4r, z4l);
-enddef;
+ show z4r; show z4l;
+ addto currentpicture also currentpicture
+ shifted (-x4r,0) xscaled -1 shifted (x4l,0);
-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
+% the left, some say right. Right wins democratically.
%
-fet_beginchar("Longa notehead", "-2", "longaball");
- draw_brevis(brevis_wid#);
+def draw_longa (expr wid) =
+ draw_brevis(wid);
save theta;
- z7 = z5;
- z6 - z7 = (-stem_width/2, -interline);
+
+ x7r = head_width;
+ y7 = y5;
+% z7 = z5;
+ z6 - z7 = (stem_width/2, -staff_space);
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);
+enddef;
+
+%
+% En wij presenteren U: de opvolgster van Emily
+%
+% (ze is wel breed)
+%
+fet_beginchar("Maxima notehead", "-3mensural", "mensuralmaximahead");
+ draw_longa (1.3 brevis_wid#)
+fet_endchar;
+
+fet_beginchar("Longa notehead", "-2mensural", "mensurallongahead");
+ draw_longa (brevis_wid#)
+fet_endchar;
+
+fet_beginchar("Brevis notehead", "-1mensural", "mensuralbrevishead")
+ draw_brevis(brevis_wid#);
fet_endchar;
-fet_beginchar("Longa ledger", "-2l", "longaledger")
- draw_ledger(brevis_wid#);
+
+def draw_mensural_black_head (expr wid) =
+ save head_width;
+ head_width# = wid;
+ set_char_box (0, head_width#, noteheight#/2, noteheight#/2);
+
+
+ y3 = y1 =0;
+ x2 = x4 = (x1 + x3) /2;
+ define_pixels (head_width);
+ pickup pencircle scaled blot_diameter;
+ top y2 = h;
+ bot y4 = -d;
+ lft x1 = 0;
+ rt x3 = w;
+
+ filldraw z1 -- z2 -- z3 -- z4 -- cycle;
+enddef;
+
+def draw_mensural_open_head (expr wid)=
+ draw_mensural_black_head (wid);
+ 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 stafflinethickness = 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);
+
+ labels (1,2,3,4,5,6,7,8);
+
+ unfill z5 -- z6 -- z7 -- z8 --cycle;
+enddef;
+
+fet_beginchar("Mensural open head","0mensural","mensuralminimhead")
+ draw_mensural_open_head (staff_space#);
fet_endchar;
+fet_beginchar("Mensural open head","1mensural","mensuralsemiminimhead")
+ draw_mensural_open_head (staff_space#);
+fet_endchar;
+
+fet_beginchar("Mensural black head","2mensural","fusahead")
+ draw_mensural_black_head (staff_space#);
+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;
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%
+%
+%
+%
+% 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;
+
+
+%
+% 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;
-fet_beginchar("Whole ledger line", "0l", "wholeledger")
- draw_ledger(whole_notehead_width#);
+ 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;
+
+save triangle; path triangle;
+triangle = (-sqrt3/4,-1/2) -- (0,1) -- (sqrt3/4,-1/2) -- cycle;
+
+fet_beginchar("Whole trianglehead", "0triangle", "wholetrianglehead")
+ set_char_box(0, 2(noteheight#+stafflinethickness#)/sqrt3*7/8,
+ (noteheight#+stafflinethickness#)/2,(noteheight#+stafflinethickness#)/2);
+ fill triangle scaled (7h/6) shifted (w/2,-h/6);
+ unfill triangle scaled 0.72h shifted (w/2,-h/6);
+fet_endchar;
+fet_beginchar("Half trianglehead", "1triangle", "halftrianglehead")
+ thick := 1.2stafflinethickness;
+ set_char_box(0, 2noteheight#/sqrt3*7/8,noteheight#/2,noteheight#/2);
+ fill triangle scaled (7h/6) shifted (w/2,-h/6);
+ unfill triangle scaled 0.7h shifted (w/2,-h/6);
+fet_endchar;
+fet_beginchar("Quart trianglehead", "2triangle", "trianglehead")
+ thick := 1.2stafflinethickness;
+ set_char_box(0, 2noteheight#/sqrt3*7/8,noteheight#/2,noteheight#/2);
+ fill triangle scaled (7h/6) shifted (w/2,-h/6);
+fet_endchar;
+
+%%% 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:
+
+% is this really nessesary? -rz
+fac# := staff_space#/staff_space;
+slt# := fac#*slt;
+slh# := fac#*slh;
+sxa# := fac#*sxa;
+slxt# := fac#*slxt;
+slw# := fac#*slw;
+
+def draw_slash(expr hwid) =
+ wid# := slw#+2slxt#+hwid*fac#;
+ 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_endgroup("balls");
+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")
+ set_char_box(0, noteheight#+stafflinethickness#,
+ noteheight#/2+stafflinethickness#/2,noteheight#/2+stafflinethickness#/2);
+ pickup pencircle scaled 1.2stafflinethickness;
+ draw fullcircle scaled 2h shifted (h,0);
+ pos := h/sqrt2;
+ draw (-pos+h,-pos) -- (pos+h,pos);
+ draw (-pos+h,pos) -- (pos+h,-pos);
+fet_endchar;
+fet_endgroup("noteheads");
define_pixels(black_notehead_width);
projects / lilypond.git / blobdiff