introduction/main.tex: Fix 'ion strength' -> 'ionic strength'

[thesis.git] / src / package / dsromu.mf

% Double Stroke Roman upper case:
% These letters were originally coded by D. E. Knuth in November, 1979,
% inspired by the Monotype faces used in {\sl The Art of Computer Programming}.
% Sans serif designs by Richard Southall were added in April, 1982.
% The programs were revised for the new \MF\ conventions in 1985.

% This file was renamed from {\tt romanu.mf} to {\tt dsromu.mf}
% and modified for double stroke characters by Olaf Kummer, 1995.
% The shapes of the letters A, V, and W were improved by Olaf Kummer, 1996.
% Version 1.0

% Character codes \0101 through \0132 are generated.

cmchar "The letter A";
beginchar("A",14.5u#,cap_height#,0);
adjust_fit(cap_serif_fit#,cap_serif_fit#);
numeric left_stem,right_stem,outer_jut,alpha;
right_stem=cap_stem-stem_corr;
left_stem=min(cap_hair if hefty: -3stem_corr fi,right_stem);
outer_jut=.8cap_jut; x1l=w-x12r=l+letter_fit+outer_jut+.5u; y1=y4=y12=0;
x2-x1=x12-x11; x3r=x2r+apex_corr; y2=y3=y11=h+0.4apex_o;
alpha=diag_ratio(2,left_stem+doublestroke_dist+doublestroke_thin,
  y2-y1,x12r-x1l-apex_corr);
x3r+alpha*doublestroke_dist=x11l; x4r+alpha*doublestroke_dist=x12l;
penpos1(alpha*left_stem,0); penpos2(alpha*left_stem,0);
penpos3(alpha*right_stem,0); penpos4(alpha*right_stem,0);
penpos11(alpha*doublestroke_thin,0); penpos12(alpha*doublestroke_thin,0);
z0=whatever[z1r,z2r]=whatever[z3l,z4l];
if y0<h-cap_notch_cut: y0:=h-cap_notch_cut;
 fill z0+.5right{down}...{z4-z3}diag_end(3l,4l,1,1,4r,3r)
  --diag_end(4r,3r,1,1,2l,1l)--diag_end(2l,1l,1,1,1r,2r){z2-z1}
  ...{up}z0+.5left--cycle; % left and right diagonals
else: fill z0--diag_end(0,4l,1,1,4r,3r)--diag_end(4r,3r,1,1,2l,1l)
  --diag_end(2l,1l,1,1,1r,0)--cycle; fi % left and right diagonals
fill stroke z11e--z12e; % stroke
penpos5(whatever,angle(z2-z1)); z5=whatever[z1,z2];
penpos6(whatever,angle(z3-z4)); z6=whatever[z3,z4]; y6=y5;
if hefty: y5r else: y5 fi =5/12y0;
y5r-y5l=y6r-y6l=cap_band; penstroke z5e--z6e; % bar line
if serifs: numeric inner_jut; pickup tiny.nib;
 prime_points_inside(1,2); prime_points_inside(4,3);
 prime_points_inside(12,11);
 if rt x1'r+cap_jut+.5u+1<=lft x4'l-cap_jut: inner_jut=cap_jut;
 else: rt x1'r+inner_jut+.5u+1=lft x4'l-inner_jut; fi
 dish_serif(1',2,a,1/2,outer_jut,b,.6,inner_jut)(dark);  % left serif
 dish_serif(4',3,c,1/2,inner_jut,d,0,outer_jut+doublestroke_dist);
 dish_serif(12',11,e,0,inner_jut+doublestroke_dist,f,1/3,outer_jut);  % right serif
 z13=whatever[z11,z12]; x14=x2;
 y13=y14=y11-slab;
 fill z11--z3--z14--z13--cycle; fi  % top closure
penlabels(0,1,2,3,4,5,6); endchar;

cmchar "The letter B";
beginchar("B",13.5u#,cap_height#,0);
italcorr .75cap_height#*slant-.5u#;
adjust_fit(cap_serif_fit#,0);
numeric left_stem,right_curve,middle_weight;
left_stem=cap_stem-hround 2stem_corr; middle_weight=.6vair+.5;
pickup tiny.nib; pos1(left_stem,0); pos2(left_stem,0);
lft x1l=lft x2l=hround max(2u,3u-.5left_stem); top y1=h; bot y2=0;
filldraw stroke z1e--z2e; % stem
pos21(doublestroke_thin,0); pos22(doublestroke_thin,0);
lft x21l=lft x22l=rt x1r+doublestroke_dist; y21=y1; y22=y2;
filldraw stroke z21e--z22e; % stroke
penpos3(cap_band,90); penpos4(cap_band,90);
penpos6(middle_weight,-90); penpos7(middle_weight,-90);
penpos8(middle_weight,90); penpos9(middle_weight,90);
penpos5(right_curve-stem_corr,0); penpos10(right_curve,0);
penpos11(cap_band,-90); penpos12(cap_band,-90);
z3r=top z21; y4=y3; y5=.5[y4,y6]; y6=y7; y7l-y8l=vair;
z12r=bot z22; y11=y12; y10=.5[y11,y9]; y8=y9; .5[y7l,y8l]=.52h;
x4=x6; x9=x11=x4+.5u; x7=x8=x21; x9l:=x4+.25u;
x5r=hround(w-1.5u); x10r=hround(w-u);
if serifs: right_curve=cap_curve-stem_corr; x4=.5[x1,w-1.5u];
else: right_curve=cap_curve-3stem_corr; x4=.5[x1,w-2.5u];
 x4l:=x4l-.5u; x9l:=x9l-.5u; fi
x6l:=x6l-.5u; x11l:=x11l-.5u;
fill stroke z3e..super_arc.e(4,5) & super_arc.e(5,6)..z7e;  % upper lobe
fill stroke z8e..super_arc.e(9,10) & super_arc.e(10,11)..z12e;  % lower lobe
if serifs: nodish_serif(1,2,a,1/3,cap_jut,b,0,.5cap_jut+doublestroke_dist);  % upper serif
 nodish_serif(21,22,e,0,cap_jut+doublestroke_dist,f,1/3,.5cap_jut);  % upper stroke serif
 nodish_serif(2,1,c,1/3,cap_jut,d,0,.5cap_jut+doublestroke_dist);  % lower serif
 nodish_serif(22,21,g,0,cap_jut+doublestroke_dist,h,1/3,.5cap_jut); fi  % lower stroke serif
math_fit(0,.5ic#); penlabels(1,2,3,4,5,6,7,8,9,10,11,12); endchar;

cmchar "The letter C";
if serifs: beginchar("C",13u#,cap_height#,0);
 italcorr cap_height#*slant-.5u#;
 adjust_fit(0,0);
 pickup fine.nib; pos1(cap_hair,0); pos2(cap_band,90);
 pos3(cap_curve,180); pos4(cap_band,270); pos5(hair,360);
 rt x1r=rt x5r=hround(w-u); lft x3r=hround u; x2=x4=.55[x3,x1];
 top y2r=h+o; bot y4r=-o; y3=.5[y2,y4];
 bot y1=min(vround max(.6h,x_height-.5vair),bot y2l-eps);
 y5=max(good.y .95(h-y1),y4l+eps);
 (x2l',y2l)=whatever[z2r,z1l]; x2l:=min(x2l',x2l+.5u);
 (x4l',y4l)=whatever[z4r,z5l]; x4l:=min(x4l',x4l+.5u);
 filldraw stroke z1e{x2-x1,10(y2-y1)}
  ...pulled_arc.e(2,3) & pulled_arc.e(3,4)...{up}z5e; % arc
 curve_stroke(s,rt x3l+doublestroke_curvedist,doublestroke_thin,
  z1r{x2-x1,10(y2-y1)}...pulled_arc.r(2,3),
  pulled_arc.r(3,4)...{up}z5r); % stroke
 pos6(.3[fine.breadth,cap_hair],0); x6r=x1r; top y6=h+o;
 x1r-x1'=2cap_curve-fine; y1'=y1;
 path upper_arc; upper_arc=z1{x2-x1,10(y2-y1)}..z2{left};
 numeric t; t=xpart(upper_arc intersectiontimes (z6l--z1'));
 filldraw z1r--z6r--z6l--subpath(t,0) of upper_arc--cycle; % barb
else: beginchar("C",11.5u#,cap_height#,0);
 italcorr cap_height#*slant-.5u#;
 adjust_fit(0,0);
 pickup fine.nib; pos1(1.2flare,80); pos2(slab,90);
 pos3(cap_curve,180); pos4(slab,270); pos5(flare,275);
 rt x1r=hround(w-1.1u); x2=x4=.5w+1.25u;
 lft x3r=hround max(u,2u-.5cap_curve); rt x5r=hround(w-.9u);
 top y1r=vround .95h+o; top y2r=h+o; y3=.5h;
 bot y4r=-o; bot y5r=vround .08h-o; y5l:=good.y y5l; x5l:=good.x x5l;
 filldraw stroke rterm.e(2,1,right,.9,4) & super_arc.e(2,3)
  & super_arc.e(3,4) & term.e(4,5,right,.8,4); % arc and terminals
 curve_stroke(s,rt x3l+doublestroke_curvedist,doublestroke_thin,
  rterm.r(2,1,right,.9,4) & super_arc.r(2,3),
  super_arc.l(3,4) & term.l(4,5,right,.8,4)); fi % stroke
math_fit(-.3cap_height#*slant-.5u#,.5ic#);
penlabels(1,1',2,3,4,5,6); endchar;

cmchar "The letter D";
beginchar("D",14u#,cap_height#,0);
italcorr .7cap_height#*slant-.5u#;
adjust_fit(cap_serif_fit#,0);
pickup tiny.nib; pos1(cap_stem',0); pos2(cap_stem',0);
lft x1l=lft x2l=hround max(2u,3u-.5cap_stem'); top y1=h; bot y2=0;
filldraw stroke z1e--z2e; % stem
penpos11(doublestroke_thin-tiny,0); penpos12(doublestroke_thin-tiny,0);
lft x11l=lft x12l=rt x1r+doublestroke_dist; y11=y1; y12=y2;
filldraw stroke z11e--z12e; % stroke
penpos3(cap_band,90); penpos4(cap_band,90);
penpos5(cap_curve-stem_corr,0);
penpos6(cap_band,-90); penpos7(cap_band,-90);
z3r=top z11; y4=y3; y5=.51[y4,y6]; y6=y7;
z7r=bot z12; x4=x6=.53w+.25u; x5r=hround(w-u);
x4l:=x6l:=x4-.25cap_curve;
fill stroke z3e..pulled_arc.e(4,5) & pulled_arc.e(5,6)..z7e;  % lobe
if serifs: nodish_serif(1,2,a,1/3,cap_jut,b,0,.5cap_jut);  % upper serif
 nodish_serif(11,12,e,0,cap_jut,f,1/3,.5cap_jut);  % upper stroke serif
 nodish_serif(2,1,c,1/3,cap_jut,d,0,.5cap_jut);  % lower serif
 nodish_serif(12,11,g,0,cap_jut,h,1/3,.5cap_jut); fi  % lower stroke serif
math_fit(0,ic#-.5u#); penlabels(1,2,3,4,5,6,7); endchar;

cmchar "The letter E";
beginchar("E",13u#-width_adj#,cap_height#,0);
italcorr cap_height#*slant-beak_jut#-.5u#;
adjust_fit(cap_serif_fit#,0);
h:=vround(h-stem_corr);
pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
lft x1l=lft x2l=hround max(2u,3u-.5cap_stem); top y1=h; bot y2=0;
filldraw stroke z1e--z2e; % stem
pos21(doublestroke_thin,0); pos22(doublestroke_thin,0);
lft x21l=lft x22l=rt x1r+doublestroke_dist; y21=y1; y22=y2;
filldraw stroke z21e--z22e; % stroke
pickup crisp.nib; pos3(slab,90); pos4(hair,0);
top y3r=h; x3=x21; rt x4r=hround(w-u); y4=good.y(y3l-beak)-eps;
arm(3,4,e,beak_darkness,beak_jut);  % upper arm and beak
pos5(cap_bar,-90); pos6(hair,0);
top y5l=vround(.52[y22,y21]+.5cap_bar); x5=x21;
pos0(cap_bar,90); pos7(hair,0);
z0=z5; x6=x7; y6-y5l=y0l-y7;
if serifs: rt x6r=hround(w-4.4u+.5hair); y6=good.y(y5l+.6beak)+eps;
 rt x9r=hround(w-.5u);
else: rt x6r=hround(w-1.5u); y6=y5l+eps; rt x9r=hround(w-.75u); fi
arm(5,6,f,beak_darkness,0); arm(0,7,g,beak_darkness,0);  % middle arm and serif
pos8(slab if not serifs:+2stem_corr fi,-90); pos9(hair,0);
bot y8r=0; x8=x22; y9=good.y(y8l+7/6beak)+eps;
arm(8,9,h,beak_darkness,1.5beak_jut);  % lower arm and beak
if serifs: nodish_serif(1,2,a,1/3,cap_jut,b,0,.5cap_jut+doublestroke_dist);  % upper serif
 nodish_serif(21,22,i,0,cap_jut+doublestroke_dist,j,1/3,.5cap_jut);  % upper stroke serif
 nodish_serif(2,1,c,1/3,cap_jut,d,0,.5cap_jut+doublestroke_dist);  % lower serif
 nodish_serif(22,21,k,0,cap_jut+doublestroke_dist,l,1/3,.5cap_jut); fi  % lower stroke serif
math_fit(0,.5ic#); penlabels(0,1,2,3,4,5,6,7,8,9); endchar;

cmchar "The letter F";
beginchar("F",12.5u#-width_adj#,cap_height#,0);
italcorr cap_height#*slant-beak_jut#-.25u#;
adjust_fit(cap_serif_fit#,0);
h:=vround(h-stem_corr);
pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
lft x1l=lft x2l=hround max(2u,3u-.5cap_stem); top y1=h; bot y2=0;
filldraw stroke z1e--z2e; % stem
pos21(doublestroke_thin,0); pos22(doublestroke_thin,0);
lft x21l=lft x22l=rt x1r+doublestroke_dist; y21=y1; y22=y2;
filldraw stroke z21e--z22e; % stroke
pickup crisp.nib; pos3(slab,90); pos4(hair,0);
top y3r=h; x3=x21; rt x4r=hround(w-.75u); y4=good.y(y3l-beak)-eps;
arm(3,4,e,beak_darkness,beak_jut);  % upper arm and beak
pos5(cap_bar,-90); pos6(hair,0);
top y5l=vround(.5[y22,y21]+.5cap_bar); x5=x21;
pos0(cap_bar,90); pos7(hair,0);
z0=z5; x6=x7; y6-y5l=y0l-y7;
if serifs: rt x6r=hround(w-4u+.5hair); y6=good.y(y5l+.6beak)+eps;
 rt x9r=hround(w-.5u);
else: rt x6r=hround(w-1.5u); y6=y5l+eps; rt x9r=hround(w-.75u); fi
arm(5,6,f,beak_darkness,0); arm(0,7,g,beak_darkness,0);  % middle arm and serif
if serifs: nodish_serif(1,2,a,1/3,cap_jut,b,0,.5cap_jut+doublestroke_dist);  % upper serif
 nodish_serif(21,22,i,0,cap_jut+doublestroke_dist,j,1/3,.5cap_jut);  % upper stroke serif
 nodish_serif(2,1,c,1/3,cap_jut,d,0,1.25cap_jut+doublestroke_dist);  % lower serif
 nodish_serif(22,21,k,0,cap_jut+doublestroke_dist,l,1/3,1.25cap_jut); fi  % lower stroke serif
math_fit(0,ic#-2.5u#); penlabels(0,1,2,3,4,5,6,7,8,9); endchar;

cmchar "The letter G";
if serifs: beginchar("G",14u#,cap_height#,0);
 italcorr cap_height#*slant-1.5u#-.5cap_serif_fit#;
 adjust_fit(0,.5cap_serif_fit#);
 pickup tiny.nib; pos0(cap_stem,0); pos7(cap_stem,0);
 rt x0r=hround(w-2u); y0=good.y(.1[bar_height,x_height]+1); x7=x0;
 pickup fine.nib;
 if hefty: bot y7=0; pos5(cap_stem,0); x5=x0; top y5=tiny.top y0;
 else: pos5(cap_hair,0); pos8(cap_stem,0);
  y7=.5bar_height; z5l=z8l; z8=z7; x9=x8r; bot y9=0;
  filldraw z8l{down}..{4(x9-x8),y9-y8}z9--z8r--cycle; fi % spur
 pos1(cap_hair,0); pos2(cap_band,90);
 pos3(cap_curve,180); pos4(cap_band,270);
 rt x1r=hround(w-2u); lft x3r=hround u; x2=x4=.55[x3,x1];
 top y2r=h+o; bot y4r=-o; y3=.5[y2,y4];
 bot y1=min(vround max(.6h,x_height-.5vair),bot y2l-eps);
 (x2l',y2l)=whatever[z2r,z1l]; x2l:=min(x2l',x2l+.5u);
 (x4l',y4l)=whatever[z4r,z5l]; x4l:=min(x4l',x4l+.5u);
 filldraw stroke z1e{x2-x1,10(y2-y1)}
  ...pulled_arc.e(2,3) & pulled_arc.e(3,4)...z5e{up}; % arc
 curve_stroke(s,rt x3l+doublestroke_curvedist,doublestroke_thin,
  z1r{x2-x1,10(y2-y1)}...pulled_arc.r(2,3),
  pulled_arc.r(3,4)...{up}z5r); % stroke
 pos6(.3[fine.breadth,cap_hair],0); x6r=x1r; top y6=h+o;
 x1r-x1'=2cap_curve-fine; y1'=y1;
 path upper_arc; upper_arc=z1{x2-x1,10(y2-y1)}..z2{left};
 numeric t; t=xpart(upper_arc intersectiontimes (z6l--z1'));
 filldraw z1r--z6r--z6l--subpath(t,0) of upper_arc--cycle; % barb
 pickup tiny.nib; filldraw stroke z0e--z7e;  % stem
 nodish_serif(0,7,a,1/3,max(cap_jut,2.25u),b,1/3,1.25u);  % serif
 math_fit(-.3cap_height#*slant-.5u#,ic#);
else: beginchar("G",12u#,cap_height#,0);
 italcorr cap_height#*slant-.5u#;
 adjust_fit(0,0);
 pickup fine.nib; pos1(1.2flare,80); pos2(slab,90);
 pos3(cap_curve,180); pos4(slab,270); pos5(flare,270);
 rt x1r=hround(w-1.35u); x2=x4=.5w+u;
 lft x3r=hround max(u,2u-.5cap_curve); rt x5l=hround(w-1.2u);
 top y1r=vround .93h+o; top y2r=h+o; y3=.5h;
 bot y4r=-o; bot y5r=vround .07h-o;
 filldraw stroke rterm.e(2,1,right,.9,4)&super_arc.e(2,3)
  & super_arc.e(3,4) & term.e(4,5,right,1,4); % arc and terminals
 curve_stroke(s,rt x3l+doublestroke_curvedist,doublestroke_thin,
  rterm.r(2,1,right,.9,4) & super_arc.r(2,3),
  super_arc.l(3,4) & term.l(4,5,right,1,4)); % stroke
 pos0(stem,0); pos7(stem,0);
 z7r=z5r; x0=x7; top y0=1+vround .35[bar_height,x_height];
 filldraw stroke z0e--z7e;  % stem
 pos8(cap_bar,90); pos9(cap_bar,90);
 z0r=z9r; y8=y9; lft x8=hround x4;
 filldraw stroke z8e--z9e;  % bar
 math_fit(-.3cap_height#*slant-.5u#,.5ic#); fi
penlabels(0,1,1',2,3,4,5,6,7,8,9); endchar;

cmchar "The letter H";
beginchar("H",14.5u#+width_adj#,cap_height#,0);
italcorr cap_height#*slant-cap_serif_fit#+cap_jut#-2.5u#+min(.5cap_stem#,u#);
adjust_fit(cap_serif_fit#,cap_serif_fit#);
pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
pos3(cap_stem,0); pos4(cap_stem,0);
pos21(doublestroke_thin,0); pos22(doublestroke_thin,0);
lft x21l=lft x22l=rt x1r+doublestroke_dist; y21=y1; y22=y2;
lft x1l=lft x2l=hround max(2u,3u-.5cap_stem); x3=x4=w-x1;
top y1=top y3=h; bot y2=bot y4=0;
filldraw stroke z1e--z2e; % left stem
filldraw stroke z3e--z4e; % right stem
filldraw stroke z21e--z22e; % stroke
penpos5(cap_bar,90); penpos6(cap_bar,90);
x5=x21; x6=x3; y5=y6=.52h;
fill stroke z5e--z6e;  % bar
if serifs: numeric inner_jut;
 if rt x21r+cap_jut+.5u+1<=lft x3l-cap_jut: inner_jut=cap_jut;
 else: rt x21r+inner_jut+.5u+1=lft x3l-inner_jut; fi
 nodish_serif(1,2,a,1/3,cap_jut,b,0,inner_jut+doublestroke_dist);  % upper left serif
 nodish_serif(21,22,i,0,cap_jut+doublestroke_dist,j,1/3,inner_jut);  % upper stroke serif
 nodish_serif(2,1,c,1/3,cap_jut,d,0,inner_jut+doublestroke_dist);  % lower left serif
 nodish_serif(22,21,k,0,cap_jut+doublestroke_dist,l,1/3,inner_jut);  % lower stroke serif
 nodish_serif(3,4,e,1/3,inner_jut,f,1/3,cap_jut);  % upper right serif
 nodish_serif(4,3,g,1/3,inner_jut,h,1/3,cap_jut); fi  % lower right serif
math_fit(0,.5ic#); penlabels(1,2,3,4,5,6); endchar;

cmchar "The letter I";
beginchar("I",max(7.5u#,4u#+2cap_stem#),cap_height#,0);
italcorr cap_height#*slant-.25u#;
adjust_fit(cap_serif_fit#,cap_serif_fit#);
pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
pos11(doublestroke_thin,0); pos12(doublestroke_thin,0);
lft x1l=lft x2l=w-rt x11r;
top y1=h; bot y2=0;
y11=y1; lft x11l=rt x1r+doublestroke_dist;
y12=y2; lft x12l=rt x2r+doublestroke_dist;
filldraw stroke z1e--z2e; % stem
filldraw stroke z11e--z12e; % stroke
if serifs: nodish_serif(1,2,a,1/3,1.05cap_jut,b,0,1.05cap_jut+doublestroke_dist);  % upper serif
 nodish_serif(11,12,e,0,1.05cap_jut+doublestroke_dist,f,1/3,1.05cap_jut);  % upper stroke serif
 nodish_serif(2,1,c,1/3,1.05cap_jut,d,0,1.05cap_jut+doublestroke_dist);  % lower serif
 nodish_serif(12,11,g,0,1.05cap_jut+doublestroke_dist,h,1/3,1.05cap_jut);  fi % lower stroke serif
math_fit(0,.5ic#); penlabels(1,2); endchar;

cmchar "The letter J";
beginchar("J",10.5u#,cap_height#,0);
italcorr cap_height#*slant-cap_serif_fit#
 +.75cap_jut#-2.5u#+min(.5cap_stem#,u#);
adjust_fit(0,cap_serif_fit#);
pickup tiny.nib; pos1(cap_stem',0); pos2(cap_stem',0);
pos11(doublestroke_thin,0); pos12(doublestroke_thin,0);
top y1=h; rt x11r=hround(w-2u); x2=x1; y2=.21h;
y11=y1; lft x11l=rt x1r+doublestroke_dist;
y12=y2; lft x12l=rt x2r+doublestroke_dist;
if serifs: pos3(vair,-90); pos4(cap_hair,-180);
 pos13(vair,-90); y13=y3; lft x13l=rt x3r+doublestroke_dist;
 pos5(flare+(cap_stem-stem),-180);
 bot y3r=-o; x3=.5[x4,x2]; y5=1/6h; rt x5l=hround 2.75u; z5r=z4r;
 filldraw stroke z1e--z2e&super_arc.e(2,3);  % stem and arc
 filldraw stroke z11e--z12e&super_arc.e(12,13)&z13e--z3e;  % stroke
 nodish_serif(1,2,a,1/3,1.3cap_jut,b,0,.75cap_jut+doublestroke_dist);  % serif
 nodish_serif(11,12,c,0,1.3cap_jut+doublestroke_dist,d,1/3,.75cap_jut);  % stroke serif
 pickup tiny.nib; bulb(3,4,5);  % bulb
else: filldraw stroke z1e--z2e;  % stem
 filldraw stroke z11e--z12e;  % stroke stem
 pickup fine.nib; pos3(cap_stem',0); z3=z2;
 pos4(flare,angle(6.5u,-h)); pos5(1.1flare,-100);
 bot y4r=-o; x4r=.5[x5r,x3r]; lft x5r=hround.75u; bot y5r=vround.06h-o;
 filldraw stroke z3e{down}....term.e(4,5,left,1,4); % arc and terminal
 pos13(doublestroke_thin,0); z13=z12;
 filldraw stroke z13e{down}....{left}z4e; fi % stroke arc
math_fit(0,.5ic#-.5u#); penlabels(1,2,3,4,5); endchar;

cmchar "The letter K";
beginchar("K",14.5u#,cap_height#,0);
italcorr cap_height#*slant-.5u#;
adjust_fit(cap_serif_fit#,cap_serif_fit#);
numeric right_jut,stem[],alpha[];
if serifs: right_jut=.6cap_jut;
else: right_jut=.4tiny; fi
pickup tiny.nib; pos1(fudged.cap_stem,0); pos2(fudged.cap_stem,0);
lft x1l=lft x2l=hround max(2u,3u-.5fudged.cap_stem); top y1=h; bot y2=0;
filldraw stroke z1e--z2e; % stem
pos21(doublestroke_thin,0); pos22(doublestroke_thin,0);
lft x21l=lft x22l=rt x1r+doublestroke_dist; y21=y1; y22=y2;
filldraw stroke z21e--z22e; % stroke
stem2=max(tiny.breadth,fudged.cap_stem-3stem_corr);
stem1=max(tiny.breadth,fudged.hair if hefty:-3stem_corr fi);
top y3=h; rt x3r=hround(r-letter_fit-u-right_jut);
bot y6=0; rt x6r=hround(r-letter_fit-.75u-right_jut);
x4=x21; y4=1/3h;
alpha1=diag_ratio(1,.5(stem1-tiny),y3-y4,x3r-x4);
penpos3(alpha1*(stem1-tiny),0); penpos4(whatever,-90);
alpha2=diag_ratio(1,.5(stem2-tiny),y21-y6,x6r-x21);
penpos6(alpha2*(stem2-tiny),0);
forsuffixes $=l,r: y3'$=h; y6'$=0; z4$=z3'$+whatever*(z3-z4);
 z5$=z6'$+whatever*(z21-z6)=whatever[z3,z4]; endfor
z5=.5[z5l,z5r];
z3'r=z3r+penoffset z3-z4 of currentpen+whatever*(z3-z4);
% we have also |z3'l=z3l+penoffset z4-z3 of currentpen+whatever*(z3-z4)|;\]
z6'r=z6r+penoffset z21-z6 of currentpen+whatever*(z21-z6);
z6'l=z6l+penoffset z6-z21 of currentpen+whatever*(z21-z6);
fill z4r--diag_end(4r,3'r,1,.5,3'l,4l)--z4l--cycle;  % upper diagonal
fill z5l--diag_end(5l,6'l,.5,1,6'r,5r)--z5r--cycle;  % lower diagonal
if serifs: numeric inner_jut;
 if rt x22r+cap_jut+.5u+1<=lft x6l-cap_jut: inner_jut=cap_jut;
 else: rt x22r+cap_jut+.5u+1=lft x6l-inner_jut; fi
 nodish_serif(1,2,a,1/3,cap_jut,b,0,cap_jut+doublestroke_dist);  % upper stem serif
 nodish_serif(21,22,i,0,cap_jut+doublestroke_dist,j,1/3,cap_jut);  % upper stroke serif
 nodish_serif(2,1,c,1/3,cap_jut,d,0,cap_jut+doublestroke_dist);  % lower stem serif
 nodish_serif(22,21,k,0,cap_jut+doublestroke_dist,l,1/3,cap_jut);  % lower stroke serif
 nodish_serif(3,4,e,2/3,1.2cap_jut,f,1/2,right_jut)(dark); % upper diagonal serif
 nodish_serif(6,5,g,1/2,inner_jut,h,1/3,right_jut)(dark);fi % lower diagonal serif
math_fit(0,.5ic#); penlabels(1,2,3,4,5,6); endchar;

cmchar "The letter L";
beginchar("L",12u#-width_adj#,cap_height#,0);
adjust_fit(cap_serif_fit#,0);
pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
lft x1l=lft x2l=hround max(2u,3u-.5cap_stem); top y1=h; bot y2=0;
filldraw stroke z1e--z2e; % stem
pos21(doublestroke_thin,0); pos22(doublestroke_thin,0);
lft x21l=lft x22l=rt x1r+doublestroke_dist; y21=y1; y22=y2;
filldraw stroke z21e--z22e; % stroke
pickup crisp.nib; pos3(slab,-90); pos4(hair,0);
bot y3r=0; x3=x22; y4=y3l+7/6beak+eps; rt x4r=hround(w-.75u);
arm(3,4,e,1.2beak_darkness,beak_jut);  % lower arm and beak
if serifs: nodish_serif(1,2,a,1/3,cap_jut,b,0,1.25cap_jut);  % upper serif
 nodish_serif(21,22,f,0,cap_jut,g,1/3,1.25cap_jut);  % upper stroke serif
 nodish_serif(2,1,c,1/3,cap_jut,d,0,.5cap_jut);  % lower serif
 nodish_serif(22,21,h,0,cap_jut,j,1/3,.5cap_jut); fi  % lower stroke serif
math_fit(0,u#); penlabels(1,2,3,4); endchar;

cmchar "The letter M";
beginchar("M",17.5u#+width_adj#,cap_height#,0);
italcorr cap_height#*slant-cap_serif_fit#+cap_jut#-2.5u#+min(.5cap_stem#,u#);
adjust_fit(cap_serif_fit#,cap_serif_fit#);
numeric stem[]; % thicknesses of the four strokes
stem1=hround(fudged.hair+stem_corr);
stem2=hround(fudged.cap_stem-4stem_corr);
stem3=hround(fudged.hair-stem_corr);
stem4=hround(fudged.cap_stem-3stem_corr);
if stem4<stem1: stem4:=stem1; fi
pickup tiny.nib; pos1(stem1,0); pos2(stem1,0);
pos3(stem4,0); pos4(stem4,0);
pos11(doublestroke_thick,0); pos12(doublestroke_thick,0);
x1=x2; x3=x4; 
top y1=top y3=h; bot y2=bot y4=0;
lft x1l=rt x11r+doublestroke_dist;
x11l=w-x3r; x12=x11; y11=y1; y12=y2;
rt x3r=hround min(w-2u,w-3u+.5stem4);
filldraw stroke z1e--z2e; % left stem
filldraw stroke z3e--z4e; % right stem
filldraw stroke z11e--z12e; % stroke
penpos5(stem2,0); penpos6(stem2,0); penpos7(stem3,0); penpos8(stem3,0);
x5l=x1; x6l=x7l; x8=lft x3l; x6-x5=x8-x7; y5=y8=h; y6=y7;
if hefty: y6=if monospace: vround 1/3h else: o fi;
 numeric upper_notch,lower_notch;
 upper_notch=h-cap_notch_cut; lower_notch=y6+cap_notch_cut;
 x1'=rt x1r; z1'=whatever[z5l,z6l]; x3'=lft x3l; z3'=whatever[z7r,z8r];
 z0=whatever[z5r,z6r]=whatever[z7l,z8l];
 fill z5l..
  if y1'<upper_notch: {right}(x1'+1,upper_notch){down}... fi
  {z6-z5}diag_in(5l,6l,1,6r)..diag_out(7l,1,7r,8r){z8-z7}
  if y3'<upper_notch: ...{up}(x3'-1,upper_notch){right} fi
  ..z8r--diag_out(8r,1,8l,7l){z7-z8}
  if y0<=lower_notch: ..{z7-z8}z0{z5-z6}..
  else: ...{down}(x0+.5,lower_notch)--(x0-.5,lower_notch){up}... fi
  {z5-z6}diag_in(6r,5r,1,5l)--cycle;  % diagonals
else: y6=0; z0=whatever[z5r,z6r]=whatever[z7l,z8l];
 fill z5l..{z6-z5}diag_in(5l,6l,1,6r)..diag_out(7l,1,7r,8r){z8-z7}
  ..z8r--diag_out(8r,1,8l,7l){z7-z8}..{z7-z8}z0{z5-z6}
  ..{z5-z6}diag_in(6r,5r,1,5l)--cycle; fi  % diagonals
if serifs: serif(1,2,a,0,-cap_jut-doublestroke_dist);  % upper left serif
 serif(11,12,g,1/3,-cap_jut); % upper stroke serif
 nodish_serif(2,1,b,0,cap_jut+doublestroke_dist,c,1/3,cap_jut)(dark); % lower left serif
 nodish_serif(12,11,h,1/3,cap_jut,i,0,cap_jut+doublestroke_dist)(dark); % lower stroke serif
 serif(3,4,d,1/3,cap_jut); %  upper right serif
 nodish_serif(4,3,e,1/3,cap_jut,f,1/3,cap_jut); fi  % lower right serif
math_fit(0,max(.5ic#-.5u#,0));
penlabels(0,1,1',2,3,3',4,5,6,7,8); endchar;

cmchar "The letter N";
beginchar("N",14.5u#+width_adj#,cap_height#,0);
italcorr cap_height#*slant-cap_serif_fit#+cap_jut#-2.5u#+min(.5cap_stem#,u#);
adjust_fit(cap_serif_fit#,cap_serif_fit#);
numeric thin_stem; thin_stem=hround(fudged.hair+stem_corr);
pickup tiny.nib; pos1(thin_stem,0); pos2(thin_stem,0);
pos3(thin_stem,0); pos4(thin_stem,0);
pos11(doublestroke_thick,0); pos12(doublestroke_thick,0);
pickup tiny.nib; top y1=top y3=h; bot y2=bot y4=0;
x1=x2; x3=x4;
lft x1l=rt x11r+doublestroke_dist;
x11l=w-x3r; x12=x11;
y11=y1; y12=y2;
rt x3r=hround min(w-2u,w-3u+.5fudged.cap_stem);
filldraw stroke z1e--z2e; % left stem
filldraw stroke z3e--z4e; % right stem
filldraw stroke z11e--z12e; % stroke
if hefty: penpos5(fudged.cap_stem,0); penpos6(fudged.cap_stem,0);
 x5l=x1; x6r=x4; y5=h; y6=0;
 numeric upper_notch,lower_notch;
 upper_notch=h-cap_notch_cut; lower_notch=cap_notch_cut;
 x1'=rt x1r; z1'=whatever[z5l,z6l]; x4'=lft x4l; z4'=whatever[z5r,z6r];
 fill z5l..
  if y1'<upper_notch: {right}(x1'+1,upper_notch){down}... fi
  {z6-z5}diag_in(5l,6l,1,6r)--z6r..
  if y4'>lower_notch: {left}(x4'-1,lower_notch){up}... fi
  {z5-z6}diag_in(6r,5r,1,5l)--cycle;  % diagonal
else: penpos5(whatever,0); penpos6(whatever,90);
 z5l=z1l; z6l=z4l;
 z7=z6l+(max(eps,cap_stem-3stem_corr-tiny),0) rotated (angle(z5l-z6l)-90);
 z5r=z7+whatever*(z5l-z6l); z6r=z7+whatever*(z5l-z6l);
 filldraw stroke z5e..z6e; fi  % diagonal
if serifs: if hefty: serif(1,2,a,0,-cap_jut-doublestroke_dist); % upper left serif
  serif(11,12,g,1/3,-cap_jut); % upper stroke serif
 else: serif(5,6,a,0,-cap_jut-doublestroke_dist); % upper left serif
   serif(11,12,g,1/3,-cap_jut); fi % upper stroke serif
 nodish_serif(2,1,b,0,cap_jut+doublestroke_dist,c,1/3,cap_jut)(dark); % lower left serif
 nodish_serif(12,11,h,1/3,cap_jut,i,0,cap_jut+doublestroke_dist)(dark); % lower stroke serif
 nodish_serif(3,4,e,1/2,cap_jut,f,1/2,cap_jut)(dark); fi  % upper right serif
math_fit(0,max(.5ic#-.5u#,0)); penlabels(1,1',2,3,4,4',5,6,7); endchar;

cmchar "The letter O";
beginchar("O",14u#-width_adj#,cap_height#,0);
italcorr .7cap_height#*slant-.5u#;
adjust_fit(0,0);
penpos1(vair',90); penpos3(vround(vair+1.5vair_corr),-90);
penpos2(cap_curve,180); penpos4(cap_curve,0);
if monospace: x2r=hround 1.5u;
 interim superness:=sqrt superness;  % make |"O"|, not |"0"|
else: x2r=hround u; fi
x4r=w-x2r; x1=x3=.5w; y1r=h+o; y3r=-o;
y2=y4=.5h-vair_corr; y2l:=y4l:=.52h;
penstroke pulled_super_arc.e(1,2)(.5superpull)
 & pulled_super_arc.e(2,3)(.5superpull)
 & pulled_super_arc.e(3,4)(.5superpull)
 & pulled_super_arc.e(4,1)(.5superpull) & cycle;  % bowl
curve_stroke(s,rt x2l+doublestroke_curvedist,doublestroke_thin,
 pulled_super_arc.r(4,1)(.5superpull)
  & pulled_super_arc.r(1,2)(.5superpull),
 pulled_super_arc.r(2,3)(.5superpull)
  & pulled_super_arc.r(3,4)(.5superpull)); % stroke
math_fit(-.3cap_height#*slant-.5u#,ic#-.5u#); penlabels(1,2,3,4); endchar;

cmchar "The letter P";
beginchar("P",13u#,cap_height#,0);
italcorr .75cap_height#*slant-.5u#;
adjust_fit(cap_serif_fit#,0);
pickup tiny.nib; penpos1(cap_stem-tiny,0); penpos2(cap_stem-tiny,0);
lft x1l=hround max(2u,3u-.5cap_stem); top y1=h; bot y2=0; x1l=x2l;
filldraw stroke z1e--z2e; % stem
pos21(doublestroke_thin,0); pos22(doublestroke_thin,0);
lft x21l=lft x22l=rt x1r+doublestroke_dist; y21=y1; y22=y2;
filldraw stroke z21e--z22e; % stroke
penpos3(cap_band,90); penpos4(cap_band,90);
penpos5(cap_curve if hefty:-3stem_corr fi,0);
penpos6(.5[vair,cap_band],-90); penpos7(.5[vair,cap_band],-90);
z3r=top z21; y4=y3; y5=.5[y4l,y6l]; y6=y7;
x7=x22; y7l=vround .5h; x4=x6=.5w+.75u; x5r=hround(w-u);
x4l:=x6l:=x4-.25cap_curve;
fill stroke z3e..pulled_arc.e(4,5) & pulled_arc.e(5,6)..z7e;  % lobe
if serifs: nodish_serif(1,2,a,1/3,cap_jut,b,0,.5cap_jut+doublestroke_dist);  % upper serif
 nodish_serif(21,22,e,0,cap_jut+doublestroke_dist,f,1/3,.5cap_jut);  % upper stroke serif
 nodish_serif(2,1,c,1/3,cap_jut,d,0,cap_jut+doublestroke_dist);  % lower stroke serif
 nodish_serif(22,21,g,0,cap_jut+doublestroke_dist,h,1/3,cap_jut); fi  % lower serif
math_fit(0,ic#-2.5u#); penlabels(0,1,2,3,4,5,6,7); endchar;

cmchar "The letter Q";
beginchar("Q",14u#-width_adj#,cap_height#,comma_depth#);
italcorr .7cap_height#*slant-.5u#;
adjust_fit(0,0);
numeric light_curve; light_curve=cap_curve-hround stem_corr;
penpos1(vair',90); penpos3(vair',-90);
penpos2(light_curve,180); penpos4(light_curve,0);
if monospace: x2r=hround 1.5u;
 interim superness:=sqrt superness;  % make |"Q"| like |"O"|
else: x2r=hround u; fi
x4r=w-x2r; x1=x3=.5w; y1r=h+o; y2=y4=.5h-vair_corr; y3r=-o;
penstroke pulled_super_arc.e(1,2)(.5superpull)
 & pulled_super_arc.e(2,3)(.5superpull)
 & pulled_super_arc.e(3,4)(.5superpull)
 & pulled_super_arc.e(4,1)(.5superpull) & cycle;  % bowl
curve_stroke(s,rt x2l+doublestroke_curvedist,doublestroke_thin,
 pulled_super_arc.r(4,1)(.5superpull)
  & pulled_super_arc.r(1,2)(.5superpull),
 pulled_super_arc.r(2,3)(.5superpull)
  & pulled_super_arc.r(3,4)(.5superpull)); % stroke
pickup tiny.nib;
if hefty: penpos5(1.2(.5[cap_bar,light_curve]),0); penpos6(1.2light_curve,0);
 x5=.5w; x6r=hround(w-1.5u);
 y5=vround .28h; y6=-d;
 fill diag_end(6r,5r,.25,1,5l,6l)--diag_end(5l,6l,.5,1,6r,5r)--cycle;  % tail
else: pos3'(vair,270); pos5(vair,180); pos6(vair,90);
 pos7(cap_curve,85); penpos8(eps,180);
 z3'=z3; x6=x3; top y6r=vround(.2h+.5vair);
 lft x5r=hround(.5w-1.25u-.5vair); y5=.5[y3,y6];
 bot y7l=-d; x7l=2/3[x6,x8]; y8=0; rt x8=hround(x4r+.1u);
 filldraw stroke z3'e{left}...z5e{up}...z6e{right}
  ..z7e{right}...z8e{up}; fi % tail
math_fit(-.3cap_height#*slant-.5u#,ic#);
penlabels(1,2,3,4,5,6,7,8); endchar;

cmchar "The letter R";
beginchar("R",if serifs: 13u#+.5max(2u#,cap_curve#)
 else:13.5u#-.5width_adj# fi,cap_height#,0);
italcorr .75cap_height#*slant- if serifs: 1.75 else: .5 fi\\ u#;
adjust_fit(cap_serif_fit#,0);
pickup tiny.nib; pos1(cap_stem',0); pos2(cap_stem',0);
lft x1l=lft x2l=hround max(2u,3u-.5cap_stem'); top y1=h; bot y2=0;
filldraw stroke z1e--z2e; % stem
pos21(doublestroke_thin,0); pos22(doublestroke_thin,0);
lft x21l=lft x22l=rt x1r+doublestroke_dist; y21=y1; y22=y2;
filldraw stroke z21e--z22e; % stroke
penpos3(cap_band,90); penpos4(cap_band,90);
penpos5(cap_curve if hefty:-3stem_corr fi,0);
penpos6(vair,-90); penpos7(vair,-90);
z3r=top z21; y4=y3; y5=.5[y4l,y6l]; y6=y7;
x7=x22; y7l=vround(.5h+.5vair); x4=x6;
if serifs: x4=.5w-.5u; x5r=hround(w-2.25u);
else: x4=.5w+.5u; x5r=hround(w-u); fi
x4l:=x6l:=x4-.125cap_curve;
fill stroke z3e..pulled_arc.e(4,5) & pulled_arc.e(5,6)..z7e;  % lobe
if serifs: pos6'(vair,-90); pos0(cap_stem,180);
 pos8(cap_curve,180); pos9(vair,-90); pos10(hair,0);
 z6'=z6; lft x0r=lft x8r=hround(x5-2/3u-.5cap_curve);
 y8=1/3[y2,y7]; y0=3/5[y2,y7]; x9=.5[x8l,x10r];
 bot y9r=-o; rt x10r=hround(w-.05u); y10=1/4[y2,y7];
 filldraw stroke z6'e{right}..z0e---z8e....z9e{right}..z10e{up};  % tail
 nodish_serif(1,2,a,1/3,cap_jut,b,0,.5cap_jut+doublestroke_dist);  % upper serif
 nodish_serif(21,22,e,0,cap_jut+doublestroke_dist,f,1/3,.5cap_jut);  % upper stroke serif
 nodish_serif(2,1,c,1/3,cap_jut,d,0,cap_jut+doublestroke_dist);  % lower serif
 nodish_serif(22,21,g,0,cap_jut+doublestroke_dist,h,1/3,cap_jut);  % lower stroke serif
else: penpos8(cap_stem-2stem_corr,0); penpos9(cap_stem,0);
 x8=x6+.5u; y8=y6; x9r=hround(w-.5u); y9=0;
 fill z8l--diag_end(8l,9l,.5,1,9r,8r)--z8r--cycle; fi  % tail
math_fit(0,.75ic#); penlabels(0,1,2,3,4,5,6,7,8,9,10); endchar;

cmchar "The letter S";
beginchar("S",10u#,cap_height#,0);
italcorr cap_height#*slant-u#;
adjust_fit(0,0);
numeric theta; theta=90-angle(50u,h); slope:=-h/50u;  % angle at middle
numeric s_slab; s_slab=if serifs:slab else:vround .2[slab,cap_stem] fi;
numeric ess'; ess'=max(fine.breadth,cap_ess);
pickup fine.nib; pos2(max(fine.breadth,s_slab-vround vair_corr),-90);
pos0(ess',theta); pos7(s_slab,-90);
x2+x7=2x0=w; x7-x2=if serifs: u else: 0 fi; top y2l=h+o; bot y7r=-o;
y0=.52h; lft x3l=hround u; rt x6r=hround(w-u);
x3r-x3l=x6r-x6l=hround .5[s_slab,ess']-fine;
ellipse_set(2l,3l,4l,0l); ellipse_set(2r,3r,4r,0r); y3=y3r;
ellipse_set(7l,6l,5l,0l); ellipse_set(7r,6r,5r,0r); y6=y6r;
filldraw stroke super_arc.e(2,3) & z3e{down}
 ..z4e---z5e..z6e{down} & super_arc.e(6,7);  % main stroke
if serifs: pos1(hair,180); pos8(hair,180);
 rt x1l=hround(w-1.5u); lft x8r=hround u;
 bot y1=vround 2/3h+1; top y8=vround 1/3h-1;
 filldraw stroke z1e{x2-x1,10(y2-y1)}....{left}z2e;  % upper arc
 filldraw stroke z7e{left}....{up}z8e;  % lower arc
 if rt x3r+2doublestroke_curvedist+doublestroke_thin>lft x6l:
  curve_stroke(s,x0-0.5doublestroke_thin,doublestroke_thin,
   z1l{x2-x1,10(y2-y1)}....{left}z2l & super_arc.l(2,3),
   super_arc.r(6,7) & z7r{left}....{up}z8r); %  stroke
 else:
  curve_stroke(s,rt x3r+doublestroke_curvedist,doublestroke_thin,
   z1l{x2-x1,10(y2-y1)}....{left}z2l & super_arc.l(2,3),
   z3l{down}..z4l---z5l..z6l{down}); %  left stroke
  curve_stroke(t,lft x6l-doublestroke_curvedist,-doublestroke_thin,
   super_arc.r(6,7) & z7r{left}....{up}z8r,
   z3r{down}..z4r---z5r..z6r{down}); %  right stroke
 fi
 path upper_arc, lower_arc;
 upper_arc=z1{x2-x1,10(y2-y1)}....{left}z2;
 lower_arc=z7{left}....{up}z8;
 pos10(.3[fine.breadth,cap_hair],0); pos9(.3[fine.breadth,cap_hair],0);
 x10r=x1l; top y10=top y2l; x9l=x8r; bot y9=bot y7r;
 x1l-x1'=x8'-x8r=1.6cap_curve-fine; y1'=y1; y8'=y8;
 numeric t; t=xpart(upper_arc intersectiontimes(z10l--z1'));
 filldraw z1l--z10r--z10l--subpath(t,0) of upper_arc--cycle;  % upper barb
 t:=xpart(lower_arc intersectiontimes(z9r--z8'));
 filldraw z8r--z9l--z9r--subpath(t,1) of lower_arc--cycle;  % lower barb
else: pos1(1.2flare,-100); pos8(1.2flare,-100);
 x1l=good.x(x1l+w-1.75u-rt x1); lft x8r=hround .8u;
 top y1l=vround .93h+o; bot y8r=vround .1h-o;
 filldraw stroke term.e(2,1,right,.9,4);  % upper arc and terminal
 filldraw stroke term.e(7,8,left,1,4);  % lower arc and terminal
 if rt x3r+2doublestroke_curvedist+doublestroke_thin>lft x6l:
  curve_stroke(s,x0-0.5doublestroke_thin,doublestroke_thin,
   (reverse(term.l(2,1,right,.9,4))) & super_arc.l(2,3),
   super_arc.r(6,7) & term.r(7,8,left,1,4)); % stroke
 else:
  curve_stroke(s,rt x3r+doublestroke_curvedist,doublestroke_thin,
   (reverse(term.l(2,1,right,.9,4))) & super_arc.l(2,3),
   z3l{down}..z4l---z5l..z6l{down}); % left stroke
  curve_stroke(t,lft x6l-doublestroke_curvedist,-doublestroke_thin,
   super_arc.r(6,7) & term.r(7,8,left,1,4),
   z3r{down}..z4r---z5r..z6r{down}); fi % right stroke
 fi
math_fit(0,.5ic#); penlabels(0,1,1',2,3,4,5,6,7,8,8',9,10); endchar;

cmchar "The letter T";
beginchar("T",13.5u#-width_adj#,cap_height#,0);
italcorr cap_height#*slant-beak_jut#-.25u#;
adjust_fit(0,0);
h:=vround(h-2stem_corr);
pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
pos21(doublestroke_thin,0); pos22(doublestroke_thin,0);
lft x1l=lft x2l=w-rt x21r;
top y1=h; bot y2=0;
lft x21l=lft x22l=rt x1r+doublestroke_dist; y21=y1; y22=y2;
filldraw stroke z1e--z2e; % stem
filldraw stroke z21e--z22e; % stroke
pickup crisp.nib; pos3(slab,90); pos4(hair,0);
top y3r=h; x3=x1; rt x4r=hround(w-.65u); y4=good.y(y3l-beak)-eps;
arm(3,4,e,beak_darkness,.7beak_jut);  % right arm and beak
pos5(hair,180); x5=w-x4; y5=y4;
pos6(slab,90); top y6r=h; x6=x21; 
arm(6,5,f,beak_darkness,-.7beak_jut);  % left arm and beak
if serifs: nodish_serif(2,1,c,1/3,1.05cap_jut,
   d,0,1.05cap_jut+doublestroke_dist);  % lower serif
 nodish_serif(22,21,g,0,1.05cap_jut+doublestroke_dist,
   h,1/3,1.05cap_jut);  % lower stroke serif
 nodish_serif(1,2,a,1/3,.5cap_jut,
   b,0,.5cap_jut+doublestroke_dist);  % upper bracketing
 nodish_serif(21,22,i,0,.5cap_jut+doublestroke_dist,
   j,1/3,.5cap_jut); fi  % upper stroke bracketing
math_fit(-.75cap_height#*slant,ic#-2.5u#); penlabels(1,2,3,4,5,6); endchar;

cmchar "The letter U";
beginchar("U",14u#+.5width_adj#,cap_height#,0);
italcorr cap_height#*slant-cap_serif_fit#+cap_jut#-2.5u#+min(.5cap_stem#,u#);
if monospace: adjust_fit(cap_serif_fit#-.5u#,cap_serif_fit#-.5u#)
else: adjust_fit(cap_serif_fit#,cap_serif_fit#) fi;
pickup tiny.nib; pos1(cap_stem,0); pos2(cap_stem,0);
pos2'(cap_stem,180); z2'=z2;
pos3(cap_band,-90);
pos4(cap_hair,0); pos5(cap_hair,0);
x1=x2; x3=.5[x1,x5]; x4=x5; x1l=w-x5r;
top y1=top y5=h; y2=y4=1/3h; bot y3r=-o;
lft x1l=hround max(2u,3u-.5cap_stem);
filldraw stroke z1e--z2e; % left stem
filldraw stroke pulled_arc.e(2',3)
 & pulled_arc.e(3,4)&z4e--z5e; % arc and right stem
z21=0.5[z21l,z21r]; z22=0.5[z22l,z22r]; z23=0.5[z23l,z23r]; 
y21l=y21r=y1; lft x22l=lft x21l=rt x1r+doublestroke_dist;
y22r=y22l=-h; rt x22r=rt x21r=lft x22l+doublestroke_thin;
z23l=(pulled_arc.r(2',3) & pulled_arc.r(3,4))intersectionpoint(z21l..z22l);
z23r=(pulled_arc.r(2',3) & pulled_arc.r(3,4))intersectionpoint(z21r..z22r);
filldraw stroke z21e--z23e; % stroke
if serifs: nodish_serif(1,2,a,1/3,cap_jut,b,0,cap_jut+doublestroke_dist); % left serif
 nodish_serif(21,23,e,0,cap_jut+doublestroke_dist,f,1/3,cap_jut); % stroke serif
 nodish_serif(5,4,c,1/2,cap_jut,d,1/2,cap_jut)(dark); fi  % right serif
math_fit(-cap_serif_fit#-.3cap_height#*slant-min(cap_height#*slant,u#),
 max(.5ic#-.5u#,0)); penlabels(1,2,3,4,5); endchar;

cmchar "The letter V";
beginchar("V",14u#,cap_height#,0);
italcorr cap_height#*slant+.25u#;
adjust_fit(cap_serif_fit#,cap_serif_fit#);
numeric left_stem,right_stem,outer_jut,alpha;
left_stem=cap_stem-stem_corr;
right_stem=min(cap_hair if hefty:-2stem_corr fi,left_stem);
outer_jut=.75cap_jut; x1l=w-x4r=l+letter_fit+outer_jut+.25u; 
y1=y4=y11=h; y2=y3=y12=-0.4*apex_o;
if doublestroke_twist:
 alpha=diag_ratio(2,left_stem,y11-y12,x4r-x1l);
else:
 alpha=diag_ratio(2,left_stem+doublestroke_dist+right_stem,
  y11-y12,x4r-x1l-apex_corr);
fi
penpos1(alpha*left_stem,0); penpos2(alpha*left_stem,0);
penpos3(alpha*right_stem,0); penpos4(alpha*right_stem,0);
penpos11(alpha*doublestroke_thin,0); penpos12(alpha*doublestroke_thin,0);
x12-x11=x4-x3;
if doublestroke_twist:
 x2r=x3r;
else:
 x12l+apex_corr=x3l;
fi
x1r+alpha*doublestroke_dist=x11l; x2r+alpha*doublestroke_dist=x12l; 
z0=whatever[z11r,z12r]=whatever[z3l,z4l];
if doublestroke_twist:
 z15=whatever[z11l,z12l]=whatever[z3l,z4l];
 z16=whatever[z1r,z2r]=whatever[z3l,z4l];
 fill z16--diag_end(16,4l,1,1,4r,3r)--diag_end(4r,3r,1,1,2l,1l)
  --diag_end(2l,1l,1,1,1r,16)--cycle;  % stroke and right diagonal
 fill z15--diag_end(15,11l,1,1,11r,0)
 --z0--cycle;  % left diagonal
else:
 fill z0--diag_end(0,4l,1,1,4r,3r)--diag_end(4r,3r,1,1,12l,11l)
  --diag_end(12l,11l,1,1,11r,0)--cycle;  % left and right diagonals
 fill diag_end(2l,1l,1,1,1r,2r)
 --diag_end(1r,2r,1,1,2l,1l)--cycle;  % stroke
fi
if serifs: numeric inner_jut; pickup tiny.nib;
 prime_points_inside(1,2); prime_points_inside(4,3);
 prime_points_inside(11,12);
 if rt x11'r+cap_jut+.5u+1<=lft x4'l-cap_jut: inner_jut=cap_jut;
 else: rt x11'r+inner_jut+.5u+1=lft x4'l-inner_jut; fi
 nodish_serif(1',2,a,1/3,outer_jut,
  b,0,inner_jut+alpha*doublestroke_dist);  % left serif
 nodish_serif(11',12,e,0,outer_jut+alpha*doublestroke_dist,
  f,1/2,inner_jut);  % left stroke serif
 nodish_serif(4',3,c,.6,inner_jut,d,1/2,outer_jut)(dark);  % right serif
 if not doublestroke_twist:
  z13=whatever[z11,z12]; z14=whatever[z1,z2];
  y13=y14=y12+slab;
  fill z12--z2--z14--z13--cycle; fi % bottom closure
 fi
math_fit(.75u#-cap_height#*slant,ic#-4u#); penlabels(0,1,2,3,4); endchar;

cmchar "The letter W";
beginchar("W",19u#,cap_height#,0);
italcorr cap_height#*slant+.25u#;
adjust_fit(cap_serif_fit#,cap_serif_fit#);
numeric stem[],outer_jut,upper_notch,alpha,mid_corr;
outer_jut=.7cap_jut; x1l=w-x8r=l+letter_fit+outer_jut+.25u;
stem1=fudged.cap_stem-stem_corr;
stem4=min(fudged.hair if hefty:-2stem_corr fi,stem1);
stem2=stem4 if hefty:-2stem_corr fi;
stem3=stem1 if hefty:-2stem_corr fi;
mid_corr=if monospace or hefty:-apex_corr else: 1/3jut fi;
y1=y8=y11=h; y2=y3=y12=-0.4*apex_o; y6=y7=-if doublestroke_twist:0.4 fi apex_o; 
if doublestroke_twist:
 alpha=diag_ratio(4,stem1,y1-y2,x8r-x1l+mid_corr-2apex_corr);
else:
 alpha=diag_ratio(4,stem1+stem2-stem3+stem4+doublestroke_dist,
  y1-y2,x8r-x1l+mid_corr-2apex_corr);
fi
penpos1(alpha*stem1,0); penpos2(alpha*stem1,0);
penpos3(alpha*stem2,0); penpos4(alpha*stem2,0);
penpos5(alpha*stem3,0); penpos6(alpha*stem3,0);
penpos7(alpha*stem4,0); penpos8(alpha*stem4,0);
penpos11(alpha*doublestroke_thin,0); penpos12(alpha*doublestroke_thin,0);
x11l=x1r+alpha*doublestroke_dist; x12l=x2r+alpha*doublestroke_dist;
x12-x11=x4-x3=x6-x5=x8-x7;
if doublestroke_twist:
 x2r=x3r; x6r=x7r;
else:
 x12l+apex_corr=x3l; x6l+apex_corr=x7l;
fi
y4=y5=if monospace: vround .6 fi\\ h;
x4l-x1l=floor(x4l-x1l+.5(x5r+mid_corr-x4r)); % |x5r+mid_corr| $\approx$ |x4r|
z45=whatever[z3r,z4r]=whatever[z5l,z6l];
z67=whatever[z5r,z6r]=whatever[z7l,z8l]; upper_notch=y4-cap_notch_cut;
if doublestroke_twist:
 z23=whatever[z11r,z12r]=whatever[z3l,z4l];
 z15=whatever[z11l,z12l]=whatever[z3l,z4l];
 z16=whatever[z1r,z2r]=whatever[z3l,z4l];
 fill diag_end(1l,2l,1,1,3r,4r){z4-z3}...z45&z45
  ...{z6-z5}diag_end(5l,6l,1,1,7r,8r)--diag_end(7r,8r,1,1,8l,7l){z7-z8}
  ...z67&z67...{z5-z6}special_diag_end(6,5,4,3){z3-z4}...z16&z16
  ...{z1-z2}diag_end(2r,1r,1,1,1l,2l)--cycle;  % Stroke and diagonals
 fill z15--diag_end(15,11l,1,1,11r,23)
 --z23--cycle;  % left stem
else:
 z23=whatever[z11r,z12r]=whatever[z3l,z4l];
 fill diag_end(11l,12l,1,1,3r,4r){z4-z3}...z45&z45
  ...{z6-z5}diag_end(5l,6l,1,1,7r,8r)--diag_end(7r,8r,1,1,8l,7l){z7-z8}
  ...z67&z67...{z5-z6}special_diag_end(6,5,4,3){z3-z4}...z23&z23
  ...{z11-z12}diag_end(12r,11r,1,1,11l,12l)--cycle;  % Stroke and diagonals
 fill diag_end(2r,1r,1,1,1l,2l)
  --diag_end(1l,2l,1,1,2r,1r)--cycle; % left stem
fi
if serifs: numeric inner_jut[]; pickup tiny.nib;
 prime_points_inside(1,2); prime_points_inside(5,6); prime_points_inside(8,7);
 prime_points_inside(11,12);
 if monospace: inner_jut1=inner_jut4=1.5cap_jut;
 elseif hefty: inner_jut1=inner_jut4=cap_jut;
 else: fill diag_end(6r,5r,1,1,5l,6l)--.9[z5l,z6l]
   ..{z5-z6}.1[z5r,z6r]--cycle;  % middle stem
  inner_jut2=.7inner_jut1; inner_jut4=1.1inner_jut3;
  if rt x11'r+cap_jut+.5u+1<=lft x5'l-.7cap_jut: inner_jut1=cap_jut;
  else: rt x11'r+inner_jut1+.5u+1=lft x5'l-inner_jut2; fi
  if rt x5'r+1.1cap_jut+.5u+1<=lft x8'l-1.21cap_jut: inner_jut3=cap_jut;
  else: rt x5'r+inner_jut3+.5u+1=lft x8'l-inner_jut4; fi
  nodish_serif(5',6,e,1/3,inner_jut2,f,1/2,inner_jut3); fi  % middle serif
 nodish_serif(1',2,a,1/3,outer_jut,
  b,0,inner_jut1+alpha*doublestroke_dist);  % left serif
 nodish_serif(11',12,g,0,outer_jut+alpha*doublestroke_dist,
  h,1/2,inner_jut1);  % stroke serif
 nodish_serif(8',7,c,.6,inner_jut4,d,1/2,outer_jut)(dark);  % right serif
 if not doublestroke_twist:
  z13=whatever[z11,z12]; z14=whatever[z1,z2];
  y13=y14=y12+slab;
  fill z12--z2--z14--z13--cycle; fi % bottom closure
 fi
math_fit(.75u#-cap_height#*slant,ic#-2.5u#);
penlabels(0,1,2,3,4,5,6,7,8,23,45,67); endchar;

cmchar "The letter X";
beginchar("X",15u#,cap_height#,0);
italcorr cap_height#*slant-.25u#;
adjust_fit(cap_serif_fit#,cap_serif_fit#);
numeric stem[],outer_jut,xjut,alpha[];
stem1=cap_stem-2stem_corr; stem2=min(cap_hair,stem1);
outer_jut=.75cap_jut; xjut= if serifs: (stem1-stem2)/4 else: 0 fi;
x2r=r-letter_fit-1u-outer_jut-xjut;
x3l=l+letter_fit+.75u+outer_jut+xjut; 
y1=y2=h; y3=y4=0;
y21=y1; y22=y4; 
x1l=l+letter_fit+.25u+outer_jut; x22r=r-letter_fit-.25u-outer_jut;
alpha1=diag_ratio(1,stem1+doublestroke_dist,h,x22r-x1l);
alpha2=diag_ratio(1,stem2,h,x2r-x3l);
penpos1(alpha1*stem1,0); penpos4(alpha1*stem1,0);
penpos21(alpha1*doublestroke_thin,0); penpos22(alpha1*doublestroke_thin,0);
penpos3(alpha2*stem2,0); penpos2(alpha2*stem2,0);
x21l=x1r+alpha1*doublestroke_dist; x4r+alpha1*doublestroke_dist=x22l; 
z31l=whatever[z2l,z3l]=whatever[z21,z22];
z31r=whatever[z2r,z3r]=whatever[z21,z22];
z32l=whatever[z2l,z3l]=whatever[z1,z4];
z32r=whatever[z2r,z3r]=whatever[z1,z4];
fill diag_end(4r,1r,.5,1,1l,4l)
 --diag_end(1l,4l,.5,1,4r,1r)--cycle; % left diagonal
fill diag_end(22r,21r,.5,1,21l,22l)
 --diag_end(21l,22l,.5,1,22r,21r)--cycle; % stroke diagonal
fill diag_end(2l,3l,.5,1,3r,2r)--z32r--z32l--cycle; % right diagonal, lower part
fill diag_end(3r,2r,.5,1,2l,3l)--z31l--z31r--cycle;  % right diagonal, upper part
if serifs: numeric inner_jut[]; pickup tiny.nib;
 prime_points_inside(1,4); prime_points_inside(2,3);
 prime_points_inside(3,2); prime_points_inside(4,1);
 prime_points_inside(21,22); prime_points_inside(22,21);
 if rt x21'r+cap_jut+.5u+1<=lft x2'l-cap_jut-xjut: inner_jut1=cap_jut;
 else: rt x21'r+inner_jut1+.5u+1=lft x2'l-inner_jut1-xjut; fi
 if rt x3'r+cap_jut+.5u+1<=lft x22'l-cap_jut-xjut: inner_jut2=cap_jut;
 else: rt x3'r+inner_jut2+.5u+1=lft x22'l-inner_jut2-xjut; fi
 nodish_serif(1',4,a,1/3,outer_jut,
  b,0,inner_jut1+doublestroke_dist);  % upper left serif
 nodish_serif(21',22,i,0,outer_jut+doublestroke_dist,
  j,2/3,inner_jut1);  % upper left stroke serif
 nodish_serif(4',1,c,2/3,inner_jut2,
  d,0,outer_jut+doublestroke_dist);  % lower right serif
 nodish_serif(22',21,k,0,inner_jut2+doublestroke_dist,
  l,1/3,outer_jut);  % lower right stroke serif
 nodish_serif(2',3,e,2/3,inner_jut1+xjut,
  f,1/2,outer_jut+xjut)(dark);  % upper right serif
 nodish_serif(3',2,g,1/2,outer_jut+xjut,
  h,2/3,inner_jut2+xjut)(dark); fi  % lower left serif
math_fit(0,.5ic#); penlabels(0,1,2,3,4,12,13,24,34); endchar;

cmchar "The letter Y";
beginchar("Y",14u#,cap_height#,0);
italcorr cap_height#*slant+.45u#;
adjust_fit(cap_serif_fit#,cap_serif_fit#);
numeric left_stem,right_stem,outer_jut,dy,alpha;
left_stem=cap_stem-stem_corr;
right_stem=min(cap_hair if hefty:-2stem_corr fi,left_stem);
outer_jut=.75cap_jut; 
penpos6(left_stem,0); penpos16(doublestroke_thin,0);
x6l=w-x16r; x6r+doublestroke_dist=x16l;
x1l=w-x4r=l+letter_fit+outer_jut+.05u;
penpos15(doublestroke_thin,0); x15=x16; y16=0; y15l=.4h; y1l=h;
alpha=diag_ratio(1,left_stem+doublestroke_dist,y1l-y15l,x15l-x1l);
penpos1(alpha*left_stem,0); penpos11(alpha*doublestroke_thin,0);
penpos3(alpha*right_stem,0); penpos4(alpha*right_stem,0);
penpos12(alpha*doublestroke_thin,0);
x1r+alpha*doublestroke_dist=x11l; 
x3r=x15r; x12l=x15l;
y6=y16; y1=y4=y11; y3=y12=y15;
z1l-z2l=whatever*(z11-z12); z6l-z2l=whatever*(z15-z16);
z1r-z2r=whatever*(z11-z12); z6r-z2r=whatever*(z15-z16);
z2=0.5[z2l,z2r];
z0=whatever[z11r,z12r]=whatever[z3l,z4l];
if y0>y12+cap_notch_cut: y0:=y12+cap_notch_cut;
  fill z0+.5right{up}...{z4-z3}diag_end(3l,4l,1,1,4r,3r)--z15r
    --diag_end(15r,16r,1,1,16l,15l)--z15l--diag_end(12l,11l,1,1,11r,12r){z12-z11}
    ...{down}z0+.5left--cycle; % diagonals and stroke
else: fill z0--diag_end(0,4l,1,1,4r,3r)--z15r
    --diag_end(15r,16r,1,1,16l,15l)--z15l
    --diag_end(12l,11l,1,1,11r,0)--cycle; fi  % diagonal and stroke
fill z2r--diag_end(2r,6r,1,1,6l,2l)--z2l
  --diag_end(2l,1l,1,1,1r,2r)--cycle;  % stem
if serifs: numeric inner_jut; pickup tiny.nib;
 prime_points_inside(1,2); prime_points_inside(4,3); prime_points_inside(6,2);
 prime_points_inside(11,12); prime_points_inside(16,15);
 if rt x11'r+cap_jut+.5u+1<=lft x4'l-cap_jut: inner_jut=cap_jut;
 else: rt x11'r+inner_jut+.5u+1=lft x4'l-inner_jut; fi
 nodish_serif(1',2,a,1/3,outer_jut,b,0,inner_jut+doublestroke_dist);  % upper left serif
 nodish_serif(11',12,g,0,outer_jut+doublestroke_dist,h,1/2,inner_jut);  % upper stroke serif
 nodish_serif(4',3,c,.6,inner_jut,d,1/2,outer_jut)(dark);  % upper right serif
 nodish_serif(6',2,e,1/3,cap_jut,f,0,cap_jut+doublestroke_dist);  % lower serif
 nodish_serif(16',15,i,0,cap_jut+doublestroke_dist,j,1/3,cap_jut); fi  % lower stroke serif
math_fit(.5u#-cap_height#*slant,ic#-4u#);
penlabels(0,1,2,3,4,5,6); endchar;

cmchar "The letter Z";
beginchar("Z",13.5u#,cap_height#,0);
italcorr cap_height#*slant-.5u#;
adjust_fit(0,0);
numeric arm_thickness[],z_stem;
if hefty: arm_thickness1=Vround(slab-vair_corr); arm_thickness2=slab;
 z_stem=.8[vair,cap_stem];
else: arm_thickness1=slab; arm_thickness2=vround(slab+vair_corr);
 z_stem=.9[vair,cap_stem]; fi
pickup tiny.nib; x3l=x4l=w-x1r=w-x2r; lft x3l=hround u;
top y1=h; y2=min(y1,h-2/3arm_thickness1);
bot y4=0; y3=max(y4,2/3arm_thickness2);
y11=y1; y12=y2; y13=y3; y14=y4;
numeric alpha; alpha=diag_ratio(1,
 z_stem-tiny+doublestroke_dist+doublestroke_thin,y2-y3,x2r-x3l);
penpos1(alpha*(doublestroke_thin-tiny),0); penpos2(alpha*(doublestroke_thin-tiny),0);
penpos3(alpha*(z_stem-tiny),0); penpos4(alpha*(z_stem-tiny),0);
penpos11(alpha*(z_stem-tiny),0); penpos12(alpha*(z_stem-tiny),0);
penpos13(alpha*(doublestroke_thin-tiny),0); penpos14(alpha*(doublestroke_thin-tiny),0);
rt x11r=lft x1l-alpha*doublestroke_dist; rt x12r=lft x2l-alpha*doublestroke_dist; 
lft x13l=rt x3r+alpha*doublestroke_dist; lft x14l=rt x4r+alpha*doublestroke_dist;
pair delta; delta=penoffset z3-z2 of currentpen;
fill top lft z11l--z12l+delta---z3l+delta..lft z3l---lft z4l..bot z4l
 ---bot rt z4r--z3r-delta---z12r-delta..rt z12r---rt z11r..top z11r
 ---cycle;  % diagonal
fill top lft z1l--z2l+delta---z13l+delta..lft z13l---lft z14l..bot z14l
 ---bot rt z14r--z13r-delta---z2r-delta..rt z2r---rt z1r..top z1r
 ---cycle;  % diagonal
pickup crisp.nib; pos5(arm_thickness1,90); pos6(hair,180);
top y5r=h; x5=x1; lft x6r=hround 1.25u; y6=good.y(y5l-beak)-eps;
arm(5,6,a,beak_darkness**.8,-.4beak_jut);  % upper arm and beak
pos7(arm_thickness2,-90); pos8(hair,0);
bot y7r=0; x7=x4; rt x8r=hround(w-.9u); y8=good.y(y7l+1.2beak)+eps;
arm(7,8,b,beak_darkness**.9,.6beak_jut);  % lower arm and beak
math_fit(0,.5ic#); penlabels(1,2,3,4,5,6,7,8); endchar;