%% sgbx0017.mp
%% Copyright 2006 Tommy Ekola <[email protected]>
%
% This work may be distributed and/or modified under the conditions of
% the LaTeX Project Public License, either version 1.3 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
%
% This work has the LPPL maintenance status `maintained'.  The Current
% Maintainer of this work is Tommy Ekola.  The Base Interpreter is
% MetaPost.

vardef setup_mapstoarrow (expr source_file, cmdname) =

 scantokens ("input tgbx0000");

 scantokens ("input " & source_file);

 expandafter def scantokens cmdname expr p =
   scantokens (cmdname & "__sgbxww")(p)
 enddef;

 expandafter vardef scantokens (cmdname & "__sgbxww " & "(expr apth) " &
   "text text_ = " &

   "save math_spread, x_height, u, rule_thickness, bar, math_axis," &
   "     asc_height, eps, monospace, fudge, crisp, hair;" &
   "boolean monospace;" &

   "math_spread     :=" & decimal math_spread & ";" &
   "x_height#       :=" & decimal x_height# & ";" &
   "u#              :=" & decimal u# & ";" &
   "rule_thickness# :=" & decimal rule_thickness# & ";" &
   "bar#            :=" & decimal bar# & ";" &
   "math_axis#      :=" & decimal math_axis# & ";" &
   "asc_height#     :=" & decimal asc_height# & ";" &
   "eps             :=" & decimal eps & ";" &
   "monospace       :=" & if monospace: "true" else: "false" fi & ";" &
   "fudge           :=" & decimal fudge & ";" &
   "crisp#          :=" & decimal crisp# & ";" &
   "hair#           :=" & decimal hair# & ";")

   save prevpen;
   prevpen:=savepen;

   save x,y;
   numeric x[], x[]', x[]l, x[]'l, x[]r, x[]'r,
           y[], y[]', y[]l, y[]'l, y[]r, y[]'r;
   save spread, w;
   numeric spread, w;

   if crisp#>fudge*hair#:
     crisp#:=fudge*hair#;
   fi
   pickup if crisp#=0: nullpen else: pencircle scaled crisp# fi;

   spread = math_spread[.45x_height#, .55x_height#];
   w = 18u#;

   penpos1(rule_thickness#, 90); penpos2(rule_thickness#, 90);
   penpos3(rule_thickness#,  0); penpos4(rule_thickness#,  0);
   y0=y1=y2=math_axis#; x1-.5rule_thickness#=u#; rt x0=w-u#;
   y3-y0=y0-y4=.36asc_height#+eps;
   x3=x4=x0-4u#-eps;
   penpos5(rule_thickness#, angle(z4-z0)); z5l=z0;
   penpos6(rule_thickness#, angle(z3-z0)); z6l=z0;
   z9=.2[.5[z3,z4],z0];

   save pp; path pp;   pp = z4l{z9-z4}..z6r;
   save t; numeric t;  t = xpart(pp intersectiontimes ((0,y2l)--(w,y2l)));
   x2=xpart point t of pp;

   save mapto, n;
   vardef mapto(text t) =
     hide(numeric n; n:=0;
          numeric x,x_[],y,y_[];
          for z=t: z_[incr n]:=z; endfor;
          transform T;
          z_2 = z_1 transformed T;
          z_4 = z_3 transformed T;
          z_6 = z_5 transformed T;)
     T
   enddef;

   save T;   transform T;
   save tt;  numeric tt;  tt  = arctime(arclength apth - (x0-x9)) of apth;
   save ttt; numeric ttt; ttt = arctime(arclength apth - (x0-x2)) of apth;

   % Draw the right half of the arrow head

   save right_texarrowhead, pa;
   vardef right_texarrowhead(expr T, s) =
     (subpath(0, xpart ((z0..{z4-z9}z4r) intersectiontimes
                     (point s of pp -- point s of pp + (2rule_thickness#,0))))
       of (z0..{z4-z9}z4r)--subpath(s,t) of pp--z2l) transformed T
   enddef;

   if     arclength apth = 0:
     T:=identity shifted (point (length apth) of apth - z0);
   elseif arclength apth < x0-x3l:
     T:=identity rotatedaround(z0,angle (direction (length apth) of apth))
                 shifted (point (length apth) of apth -z0);
   else:
     T:=mapto(z0,
              point (length apth) of apth,
              z2,
              point ttt of apth,
              z9+(0,3rule_thickness#),
              point tt of apth + 3rule_thickness#
                                  *(unitvector (direction tt of apth)
                                  rotated 90));
   fi

   save f,s;
   vardef f(expr s) =
     length(point s of (pp transformed T) - point tt of apth)
     < length(point 0 of pp - z9)
   enddef;

   if f(0) or (arclength apth < x0-x3l): s := 0;
   else:    s := solve f(length pp, 0);
   fi

   path pa;
   pa := right_texarrowhead(T,s);

   % Draw the left part of the arrow head

   pp := (z3l{z9-z3}..z5r);
   save pq; path pq; pq := (z3r{z9-z3}..z0);

   save left_texarrowhead, pb;
   vardef left_texarrowhead(expr T, s) =
     (z2r--subpath(t,s) of pp
       --subpath(xpart ( pq intersectiontimes
                   (point s of pp -- point s of pp + (2rule_thickness#,0)))
                 ,length pq) of pq) transformed T
   enddef;

   if   arclength apth = 0:
     T:=identity shifted (point (length apth) of apth - z0);
   elseif arclength apth < x0-x3l:
     T:=identity rotatedaround(z0,angle (direction (length apth) of apth))
                 shifted (point (length apth) of apth - z0);
   else:
     T:=mapto(z0,
              point (length apth) of apth,
              z2,
              point ttt of apth,
              z9+(0,3rule_thickness#),
              point tt of apth + 3rule_thickness#
                                  *(unitvector (direction tt of apth)
                                  rotated 90));
   fi

   vardef f(expr s) =
     length(point s of (pp transformed T) - point tt of apth)
     < length(point 0 of pp - z9)
   enddef;

   if f(0) or (arclength apth < x0-x3l): s := 0;
   else:    s := solve f(length pp, 0);
   fi

   path pb;
   pb := left_texarrowhead(T,s);

   filldraw pa--pb--cycle text_;

   % Draw the tail

   if arclength apth > x0-x2:
     draw point 0 of apth + (.24asc_height#+eps)*
                            (unitvector (direction 0 of apth) rotated 90)--
          point 0 of apth - (.24asc_height#+eps)*
                            (unitvector (direction 0 of apth) rotated 90)
          withpen pencircle scaled rule_thickness#
          text_;
   fi

   % Draw the path

   if arclength apth > x0-x2:
     draw subpath(0,ttt) of apth withpen pencircle scaled rule_thickness#
          text_;
   fi

   pickup prevpen;

 enddef;

enddef;