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% tipabase.mf: TIPA miscellaneous macros
% Copyright 1996-2003 FUKUI Rei
%
% This program may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.2
% of this license or (at your option) any later version.
% The latest version of this license is in
%   http://www.latex-project.org/lppl.txt
% and version 1.2 or later is part of all distributions of LaTeX 
% version 1999/12/01 or later.
%
% This program consists of all files listed in Manifest.txt.
%
% Version 1.2 2003/01/01
%
% This file is based on:
%   Computer Modern font series by D. E. Knuth and
%   TSIPA by KOBAYASHI Hajime, FUKUI Rei and SHIRAKAWA Shun.
%
% N.B. This file is an addition to cmbase.mf, not a replacement.
%

if unknown cmbase:
  errmessage "`cmbase' should have been read before `tipabase'"; fi

tipabase:=1; % when |tipabase| is known, this file has been input

boolean Times_Compat;

let _font_setup = font_setup;

def font_setup =
  _font_setup;
  vu#:=u#; hair_rule#:=hair#;
  diacritic#:=.2[vair#,stem#]; % breadth of some diacritics
  diacr#:=diacritic#;
  define_whole_vertical_pixels(vu);
  define_whole_blacker_pixels(diacritic,diacr);
  forsuffixes $=diacritic:
    $.breadth:=$;
    pickup if $=0: nullpen else: pencircle scaled $; $:=$-eps fi;
    $.nib:=savepen; breadth_[$.nib]:=$;
    forsuffixes $$=lft,rt,top,bot: shiftdef($.$$,$$ 0); endfor endfor
  hair_rule:=ceiling(hair_rule#*hppp);
  pickup pencircle scaled hair_rule; hair_rule.nib:=savepen;
  enddef;

boolean debug; debug:=false;

let _endchar = endchar;

def endchar =
  _endchar; if debug: stop_here; fi enddef;

def sc_compress(suffix $)(expr rate_fix) = % for small caps
 $.#:=$.# * ((rate_fix[x_height#,cap_height#])/cap_height#); enddef;

def smallcap_setup =
 forsuffixes $=save_var_list: old.$.#:=$.#; endfor
 forsuffixes $= u, letter_fit: $.#:=sc.$.#; endfor
 sc_compress(flare,.7);
 sc_compress(cap_jut,.1);
 sc_compress(beak_jut,.1);
 sc_compress(beak,0);
 sc_compress(slab,.4);
 sc_compress(cap_bar,.8);
 sc_compress(o,.1);
 sc_compress(apex_o,0);
 font_setup; enddef;

def save_var_list =
 u, letter_fit, flare, cap_jut, beak_jut, beak, slab, cap_bar,
  o, apex_o enddef;

def restore_normal_setup =
 forsuffixes $=save_var_list: $.#:=old.$.#; endfor
 font_setup; enddef;

def turn_picture =
 _center_h:=hround(.5charwd*hppp+.5slant*charht*hppp);
 _center_v:=vround(.5charht*hppp);
 currentpicture:=currentpicture
  rotatedabout((_center_h,_center_v),180); enddef;

def turn_picture_lower =
 _center_h:=hround(.5charwd*hppp+.5slant*charht*hppp);
 _center_v:=vround(.5x_height#*hppp);
 currentpicture:=currentpicture
  rotatedabout((_center_h,_center_v),180); enddef;

def comMA(suffix $,@)(expr dot_size,jut,depth) =
 pickup fine.nib; pos$(dot_size,90);
 if square_dots: pos$'(dot_size,0); z$'=z$; dot($',$);  % squarish dot
  comma_join_:=max(fine.breadth,floor .7dot_size);
  comma_bot_:=max(fine.breadth,floor .5dot_size);
  pos@0(comma_join_,0); pos@1(comma_join_,0);
  pos@2(comma_bot_,0); y@0=y$; y@1=y$l; y@2=y@1-depth;
  x@0l=x@1l=x$'l; lft x@2l=good.x(x$+eps);
  filldraw stroke z@0e--z@1e..z@2e;  % tail
 else: pos@1(vair,90); pos@2(vair,180); pos@3(vair,225); % 96/02/10 fkr
  z@1r=z$r; lft x@2r=hround(x$-.5dot_size-jut)-2eps; x@3=x$+.5u;
  y@2=1/3[y@1,y@3]; bot y@3r=vround(y$-.5dot_size-depth);
  y_:=ypart((z@1{right}...z@2{down}...z@3)
   intersectiontimes (z$l{right}..{left}z$r)); if y_<0: y_:=1; fi
  filldraw z$r{left}..subpath (0,y_) of (z$l{right}..{left}z$r)--cycle; % dot
  filldraw stroke z@1e{left}...z@2e{down}...z@3e; fi  % tail
 penlabels(@1,@2,@3); enddef;

def hook_out_bot(suffix $,$$,$$$) % used in ``Viby I'' and ``Viby Y''
 suffix modifier= % x$ and x$$$ (only) are known
 pos$(stem,0); pos$$(vair,90);
 x$$$:=hround(x$$$+.5hair-eps)-.5hair; pos$$$(hair,180);
 y$=1/4x_height-d; bot y$$l=-oo-d; y$$$=1/3x_height-d;
 if skewed.modifier: x$$=x$+1.25u;
  filldraw stroke z$e{-u,-x_height}...z$$e{right}...{up}z$$$e;  % hook
 else: x$$=x$+1.5u;
  filldraw stroke z$e{down}...z$$e{right}
   ...{x$$$-(x$+2.5u),x_height}z$$$e; fi enddef;  % hook

def hbar(suffix $, $$)(expr loffset, roffset, ypos) =
 pickup if serifs: tiny.nib; else: fine.nib fi;
 lft x$r = loffset; rt x$$r = roffset;
 top y$r = top y$$r = vround(ypos);
 pos$(bar,90); pos$$(bar,90);
 filldraw stroke z$e--z$$e;
 penlabels($, $$); enddef;

def left_tail(suffix $, $$, @, @@)(expr stem_br, x_offset) =
 if serifs: pickup tiny.nib;
  pos$.a(stem_br,0); z$=z$.a;
  x$$=x$.a; bot y$$=-1/3d; pos$$(stem_br,0);
  pos@(vair,-90); pos@@(hair,-180); pos@@'(flare,-180);
  x@=.5[x$$,x@@r]; bot y@r=-d-oo; y@@-.5flare=-.88d;
  z@@r=z@@'r; lft x@@'r= x_offset; 
  numeric xx;
  (xx,y@r)=whatever[z@l,z$$l]; x@r:=max(xx,.5[x@@r,x@]);
  filldraw stroke z$.a e--z$$e{down}...z@e{left}; bulb(@,@@,@@'); % arc and bulb
 else: pickup fine.nib;
  pos$.a(stem_br,0); z$=z$.a;
  x$$=x$.a; bot y$$=-1/3d; pos$$(stem_br,0);
  pos@(vair,-90); x@=.5[x$$,x@@r]; bot y@r=-d-o;
  pos@@(.6[vair,flare],-110); lft x@@r=x_offset;
  y@@r=good.y -5/6d; y@@l:=good.y y@@l;
  filldraw stroke z$.a e--z$$e & super_arc.e($$,@)
   & term.e(@,@@,left,.9,4); fi
 enddef;

def right_tail(suffix $, $$, @, @@)(expr stem_br, x_offset, y_end,
 x_rate, y_rate) =
 if serifs: pickup tiny.nib;
  pos$.a(stem_br,180); z$=z$.a;
  x$$=x$.a; bot y$$=-y_rate*d; pos$$(stem_br,180);
  pos@(vair,270); pos@@(hair,360); pos@@'(flare,360);
  x@=x_rate[x$$,x@@r]; bot y@r=-d-oo; y@@-.5flare=-y_end*d;
  z@@r=z@@'r; rt x@@'r= x_offset; 
  numeric xx;
  (xx,y@r)=whatever[z@l,z$$l]; x@r:=min(xx,.5[x@,x@@r]);
  filldraw stroke z$.a e--z$$e{down}...z@e{right}; bulb(@,@@,@@');%arc and bulb
 else: pickup fine.nib;
  pos$.a(stem_br,180); z$=z$.a;
  x$$=x$.a; bot y$$=-y_rate*d; pos$$(stem_br,180);
  pos@(vair,270); x@=x_rate[x$$,x@@r]; bot y@r=-d-o;
  pos@@(.6[vair,flare],290); rt x@@r=x_offset;
  y@@r=good.y(-y_end*d); y@@l:=good.y y@@l;
  filldraw stroke z$.a e--z$$e & super_arc.e($$,@)
   & term.e(@,@@,right,.9,4); fi
 enddef;

def hooktop(suffix $, $$, @, @@)(expr stem_br, x_offset, height,
 y_end, x_rate, y_rate) =
 if serifs: pickup tiny.nib;
  pos$.a(stem_br,180); z$=z$.a;
  x$$=x$.a; top y$$=y_rate[y$.a,height]; pos$$(stem_br,180);
  pos@(vair,90); pos@@(hair,0); pos@@'(flare,0);
  x@=x_rate[x$$,x@@r]; top y@r=height+oo; y@@+.5flare=y_end[y$.a,height];
  z@@r=z@@'r; rt x@@'r= x_offset; 
  numeric xx;
  (xx,y@r)=whatever[z@l,z$$l]; x@r:=min(xx,.5[x@,x@@r]);
  filldraw stroke z$.a e--z$$e{up}...z@e{right}; bulb(@,@@,@@'); % arc and bulb
 else: pickup fine.nib;
  pos$.a(stem_br,180); z$=z$.a;
  x$$=x$.a; top y$$=y_rate[y$.a,height]; pos$$(stem_br,180);
  pos@(vair,90); x@=x_rate[x$$,x@@r]; top y@r=height+o;
  pos@@(.6[vair,flare],70); rt x@@r=x_offset;
  y@@r=good.y y_end[y$.a,height]; y@@l:=good.y y@@l;
  filldraw stroke z$.a e--z$$e & super_arc.e($$,@)
   & term.e(@,@@,right,.9,4); fi
 enddef;

def c_stroke(expr Width) =
 numeric BH; BH=if Times_Compat:.5613h else: bar_height fi;
 pickup fine.nib; pos2(vair',90); pos4(vair',270);
 x2=x4=.5(Width+u); top y2r=vround(h+1.5oo); bot y4r=-oo;
 pos3(curve,180); lft x3r=hround max(.6u,1.35u-.5curve); y3=.5h;
 if serifs: pos1(hair,0); pos0(flare,0);
  y1=min(BH+.5flare+2vair'+2,.9[BH,h]-.5flare);
  rt x1r=hround(Width-.7u); bulb(2,1,0);  % bulb
  pos5(hair,0); rt x5r=hround(Width-.5u);
  y5=max(good.y(.5BH-.9),y4l+vair');
  (x,y4l)=whatever[z4r,z5l]; x4l:=min(x,x4l+.5u);
  filldraw stroke pulled_super_arc.e(2,3)(.7superpull)
   & pulled_super_arc.e(3,4)(.5superpull)
   ..tension .9 and 1..{x5-x4,5(y5-y4)}z5e;  % arc and lower terminal
 else: pos1(4/7[vair',flare],80);
  rt x1r=hround(Width-.6u); top y1r=vround .82[BH,top y2r];
  filldraw stroke term.e(2,1,right,.8,4);  % upper terminal
  pos5(.6[vair',flare],275); rt x5r=hround(Width-.5u);
  y5r=good.y(y5r+1/3BH-y5); y5l:=good.y y5l; x5l:=good.x x5l;
  forsuffixes e=l,r: path p.e; p.e=z4e{right}..tension .9 and 1..z5e;
   if angle direction 1 of p.e>75:
    p.e:=z4e{right}..tension atleast.9 and 1..{dir 75}z5e; fi endfor
  filldraw stroke pulled_super_arc.e(2,3)(.7superpull)
   & pulled_super_arc.e(3,4)(.5superpull) & p.e; fi  % arc and lower terminal
 enddef;

def d_stroke(expr Topserif, Botserif, bot_y) =
 pickup tiny.nib; pos1(stem',0); pos2(stem,0);
 pos0'(stem',0); pos0(stem,0); z0r=z0'r; x0'=x1; x0=x2;
 rt x1r=hround(w-side_gap+.5stem'); top y1=h;
 numeric edge; edge=lft x2l;
 pickup fine.nib; pos3(if hefty:thin_join else: hair fi,0);
 pos4(vair,90); pos5(curve,180); pos6(vair,270); penpos7(x3r-x3l,360);
 lft x3l=min(lft x3l-(rt x3r-tiny.rt x2r),1/3[lft x2,edge]);
 y3=1/8[bar_height,x_height];
 x4l=.5(w-serif_fit)-.3u; top y4r=x_height+oo;
 lft x5r=hround max(1.35u-.5curve,.6u); y5=.5x_height;
 x6l=x4l-.2u; bot y6r=-oo;
 x7=x3; y7=min(y3,y6+y4-y3+.6vair);
 (x,y4r)=whatever[z3l,z4l]; x4r:=max(x,.5[x5r,x4]);
 (x',y6r)=whatever[z7l,z6l]; x6r:=max(x',.5[x5r,x6]);
 filldraw stroke z3e{up}...pulled_arc.e(4,5)
  & pulled_arc.e(5,6)...{up}z7e; % bowl
 y0=ypart(((edge,h)--(edge,0))intersectionpoint(z3l{up}...{left}z4l));
 pickup tiny.nib; numeric lower_serif_drop;
 lower_serif_drop = if Times_Compat: serif_drop else: min(oo,serif_drop) fi;
 bot y2=if Botserif: if serifs:-min(oo,serif_drop) else: 0 fi; else: bot_y; fi
 if Topserif: filldraw stroke z1e--z0'e--z0e--z2e;  % stem
 else: filldraw stroke z0e--z2e; fi % stem
 if serifs: if Topserif: sloped_serif.l(1,0',a,1/3,jut,serif_drop); fi % upper serif
  if Botserif: sloped_serif.r(2,0,b,1/3,jut,lower_serif_drop); fi fi % lower serif
 enddef;

def epsilon_stroke(expr reverse,mid_jut) = % derived from `3' of cm
 numeric top_thickness,mid_thickness,bot_thickness,mid_thickness';
 top_thickness=max(fine.breadth,vround(slab-2vair_corr));
 mid_thickness=max(fine.breadth,vround 2/3vair);
 bot_thickness=max(fine.breadth,vround(slab-vair_corr));
 mid_thickness'=max(hround .6fine.breadth,
  hround .35[curve,cap_curve]-stem_corr);
 pickup fine.nib; pos2(top_thickness,90);
 pos4(vair,-90); pos5(vair,-90); pos6(mid_thickness,90);
 pos8(bot_thickness,-90); top y2r=h+o; bot y8r=-o;
 if reverse=true: pos3(mid_thickness',0); pos7(mid_thickness',0);
  rt x3r=hround(w-u); rt x7r=hround(w-.75u);
  x2=x6=x8=.5[1.5u,x7]; lft x5=min(hround mid_jut,lft x6)-eps;
  z4=z5+whatever*(150u,h);
 else: pos3(mid_thickness',180); pos7(mid_thickness',180);
  lft x3r=hround(u); lft x7r=hround(.75u);
  x2=x6=x8=.5[x7,w-1.5u]; rt x5=max(hround(w-mid_jut),w-rt x6)+eps;
  z4=z5+whatever*(-150u,h); fi
 x4=1/3[x5,x3l]; y3=.5[top y4l,bot y2l]; y7=.5[bot y6l,top y8l];
 top y5l=vround(.54h+.5vair); y5r=y6l;
 filldraw stroke pulled_super_arc.e(2,3)(.5superpull)
  & z3e{down}...z4e---z5e;  % upper bowl
 filldraw z5r--z6l--z6r--z5l---cycle;  % middle tip
 filldraw stroke pulled_super_arc.e(6,7)(.5superpull)
  & pulled_super_arc.e(7,8)(.5superpull);  % lower bowl
 enddef;

def yogh_stroke(expr xmid,xmidrate,xoffset,Comb,Notail) = % derived from `z' of cm
 numeric arm_thickness[],z_stem,stem[];
 stem1=fudged.stem-4stem_corr;
 if hefty: arm_thickness1=stem1; arm_thickness2=stem1;
  z_stem=fudged.hair;
 else: arm_thickness1=stem1; arm_thickness2=stem1; z_stem=fudged.hair; fi
 if arm_thickness1<tiny.breadth: arm_thickness1:=tiny.breadth; fi
 pickup tiny.nib; rt x1r=rt x2r=hround(w-.8u); 
 lft x3l=lft x4l=hround(xmidrate[xmid, w-.8u]-.25hair); 
 top y1=h; y2=min(y1,h-2/3arm_thickness1);
 bot y4=.3[0,h]; y3=max(y4,2/3arm_thickness2);
 numeric alpha;
 alpha=diag_ratio(1,z_stem-tiny,y2-y3,x2r-x3l-slant*(y2-y3));
 penpos1(alpha*(z_stem-tiny),0); penpos2(alpha*(z_stem-tiny),0);
 penpos3(alpha*(z_stem-tiny),0); penpos4(alpha*(z_stem-tiny),0);
 pair delta; delta=penoffset z3-z2 of currentpen;
 fill top lft z1l--z2l+delta---z3l+delta..lft z3l---lft z4l..bot z4l
  ---bot rt z4r--z3r-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=if Comb: hround xmid; else: hround xoffset; fi
 y6=if Comb: y5l; else: good.y(y5l-beak/1.8)-eps; fi
 arm(5,6,a',beak_darkness,if Comb: 0 else: -.4beak_jut fi); % upper arm and beak
 pickup tiny.nib;
 pos12(stem,angle(z2-z3)); x12l=x3l; bot y12l=bot y3l;
 pos7(curve,0); pos8(vair,-90);
 rt x7r=hround(w-.75u+.1curve); y7=.48[bot y12l,top y8l];
 x8=hround(if Times_Compat: .5[xoffset,w-.8u]-.25u else: .5[xoffset,w-.8u] fi);
 bot y8r=-d-oo;
 filldraw stroke pulled_arc.e(12,7) & pulled_arc.e(7,8);  % bowl
 if Notail: else:
  if serifs: pos10(flare,-180); pos9(cap_hair,-180);
   lft x10r=hround(xoffset if Times_Compat: -.5u fi);
   y10=if Comb: -.45d; else: -.35d; fi
   bulb(8,9,10);  % lower bulb
  else: pickup fine.nib; pos8'(vair,-90); z8'=z8;
   pos9(.6[vair',flare],-110);
   lft x9r=hround xoffset; top y9l=vround -.3d;
   y9r:=good.y y9r-eps; x9l:=good.x x9l;
   filldraw stroke term.e(8',9,left,1,4); fi  % lower terminal
  fi enddef;

def full_circ_stroke(suffix $,$$) =
  filldraw circ_stroke z$e--z$$e;
  filldraw circ_stroke z$$e--z$e;
  enddef;

% added on 2001/11/22 fkr
vardef inverted_sloped_serif.r(suffix $,$$,@)(expr darkness,jut,drop) =
 pickup crisp.nib; pos@2(slab,90);
 rt x@0=tiny.rt x$r; lft x@1=tiny.lft x$l; top y@1=tiny.top y$l;
 rt x@2=rt x@0+jut; y@2r=y@1-drop;
 y@0=max(y@2l-bracket,y$$)-eps;
if drop>0: erase fill z@1--top z@1
  --(x@2r,top y@1)--z@2r--cycle; fi % erase excess at bottom
 filldraw z@1--z@2r--z@2l{left}
  ...darkness[(x@0,y@2l),.5[z@2l,z@0] ]{z@0-z@2l}
  ...{down}z@0--(x@1,y@0)--cycle;  % sloped serif
 labels(@0,@1,@2); enddef;

% moved from tipagerm.mf on 2001/11/22 fkr
vardef varm(suffix $,$$,@)(expr darkness,jut)=
 y@0=good.y(y$$r-jut); x@0=x$r;
 x@1=x$l; z@1=z$$l+whatever*(z$$r-z@0); z@2=.5[z$l,z@1];
 filldraw z$$l{z@1-z$$l}...darkness[z@1,.5[z@2,z$$l]]...z@2
  ---z$l--z$r--z@0--z$$r--cycle;
 penlabels(@0,@1,@2); enddef;

% front_hook and bulbvar added on 2001/12/06 fkr

def front_hook(suffix $, $$, @, @@)(expr stem_br, stem_angle,
 x_offset, y_offset, x_end, x_rate, y_rate) =
 if serifs: pickup tiny.nib;
  pos$(stem_br,stem_angle); pos$$(stem_br,stem_angle);
  y$=y$$; x$$=x_rate[x@,x$];
  pos@(vair,180); pos@@(hair,270); pos@@'(flare,270); % anomoulous but ...
  y@=y_rate[y@@r,y$$]; lft x@r=hround(x_offset);
  x@@-.5flare=x_end[x@,x$];
  z@@r=z@@'r; bot y@@'r=y_offset; 
  filldraw stroke z$e--z$$e{left}...z@e{down}; bulbvar(@,@@,@@');%arc and bulb
 else: pickup fine.nib;
  pos$(stem_br,stem_angle); pos$$(stem_br,stem_angle);
  y$=y$$; x$$=x_rate[x@,x$];
  pos@(vair,180); pos@@(.6[vair,flare],220);
  y@=y_rate[y$$r,y@@]; lft x@r=hround(x_offset);
  x@@-.5vair=x_end[x@,x$]; bot y@@r=y_offset;
  filldraw stroke z$e--z$$e & super_arc.e($$,@)
   & term.e(@,@@,down,.9,4); fi
 enddef;

def bulbvar(suffix $,$$,$$$) =
 z$$$r=z$$r;
 path_.l:=z$l{0,y$$r-y$r}...{x$$r-x$r,0}z$$l;
 filldraw path_.l--z$$r{x$r-x$$r,0}...{0,y$r-y$$r}z$r--cycle; % link
 path_.r:=z$$$l{x$r-x$$r,0}..z$$$r{x$$r-x$r,0}; % near-circle
 filldraw subpath(0,xpart(path_.r intersectiontimes path_.l)) of path_.r
  --z$$r{x$$r-x$r,0}..cycle; % bulb
 enddef;

def turned_h_stroke(suffix $,@,@@,$$) =
 penpos$$(x@@r-x@@l,0); x$$=x@@; top y$$=h;
 y@@=x_height-1/3[bar_height,x_height];
 penpos$''(x$r-x$l,0); x$''=x$; y$''=x_height-1/8[bar_height,x_height];
 filldraw stroke z$''e--z$e;  % thicken the lower left stem
 penpos@0(min(rt x$r-lft x$l,thin_join)-fine,180); pickup fine.nib;
 lft x@0r=tiny.lft x$l; y@0=y$'';
 pos@1(vair,90); pos@@'(x@@r-x@@l+tiny,0); z@@'=z@@;
 x@1=.5[lft x@0r,lft x@@'l]; bot y@1l=-oo;
 (x@,y@1r)=whatever[z@1l,z@0r]; x@1r:=x@;
 filldraw stroke z@0e{down}...{left}z@1e
  &{{interim superness:=hein_super; super_arc.e(@1,@@')}};  % arch
 pickup tiny.nib; filldraw stroke z@@e--z$$e;  % right stem
 labels(@0); penlabels(@1); enddef;

def raised_h_stroke(suffix $,@,@@,$$) =
 penpos$$(x@@r-x@@l,0); x$$=x@@; y$$=.45bar_height;
 y@@=1/3[bar_height,x_height];
 penpos$''(x$r-x$l,0); x$''=x$; y$''=1/8[bar_height,x_height];
 filldraw stroke z$''e--z$e;  % thicken the lower left stem
 penpos@0(min(rt x$r-lft x$l,thin_join)-fine,180); pickup fine.nib;
 rt x@0l=tiny.rt x$r; y@0=y$'';
 pos@1(vair,90); pos@@'(x@@r-x@@l+tiny,0); z@@'=z@@;
 x@1=.5[rt x@0l,rt x@@'r]; top y@1r=x_height+oo;
 (x@,y@1l)=whatever[z@1r,z@0l]; x@1l:=x@;
 filldraw stroke z@0e{up}...{right}z@1e
  &{{interim superness:=hein_super; super_arc.e(@1,@@')}};  % arch
 pickup tiny.nib; filldraw stroke z@@e--z$$e;  % right stem
 labels(@0); penlabels(@1); enddef;

vardef turned_special_diag_end(suffix $$,$,@,@@) = % for top middle of turned w
 if x@l<=x$: diag_end($$r,$r,1,1,@l,@@l)
 else: z0=whatever[z$$l,z$l]=whatever[z@l,z@@l];
  diag_end($$r,$r,1,1,$l,0)--z0 fi enddef;

def CT(expr $, @) = % Computer modern or Times Roman?
 if Times_Compat: @ else: $ fi enddef;

% Redefinition for Times_Compat.
def f_stroke(suffix $,$$,@,left_serif,right_serif)(expr left_jut,right_jut)=
 pickup tiny.nib; bot y$=0;
 penpos@0(x$r-x$l,0); x@0l=x$l; top y@0=x_height;
 filldraw stroke z$e--z@0e;  % stem
 pickup fine.nib; pos@0'(x$r-x$l-(hround stem_corr)+tiny,180);
 y@0'=y@0; lft x@0'r=tiny.lft x$l;
 penpos@1(x@0'l-x@0'r,180); x@1=x@0';
 y@1+.5vair=if Times_Compat:.33 else:.5 fi[x_height,h];
 pos@2(vair,90); top y@2r=h+oo;
 if serifs: x@2=.6[x@1,x$$r]; (x@,y@2r)=whatever[z@2l,z@1l];
  x@2r:=min(x@,.5[x@2,x$$r]); pos@3(hair,0); bulb(@2,@3,$$);  % bulb
  filldraw stroke z@0'e--z@1e & super_arc.e(@1,@2);  % arc
  dish_serif($,@0,left_serif,1/3,left_jut,right_serif,1/3,right_jut); % serif
 else: x@2=.6[x@1,x$$]; y@1l:=1/3[y@1l,y@2l];
  filldraw stroke z@0'e--z@1e & super_arc.e(@1,@2)
   & term.e(@2,$$,right,.9,4); fi  % arc and terminal
 penlabels(@0,@1,@2); enddef;

def thin_hair = if hair# > 1.5u#: hround(.6hair) else: hair fi enddef;

def side_gap = if Times_Compat: 2.4u else: 2.5u fi enddef;

% end of tipabase.mf