[NTG-context] simplifying repeated macro calls in metafun

21 Jun 2021

      Hi,

I defined a macro definition in metafun, and draw figures using \startbuffer[] … \stopbuffer and \processMPbuffer[].
As you see in the attached code, the same macro definition is used repeatedly by changing the numeric argument. 
Is there a better way to simplify the code, for example, using \dorecurse and recurselevel?

Thank you for reading.

Best regards,

Dalyoung

\startbuffer[UDBasic]
  pair A,B,C,D;
  pair E, F, G, H;
  path p,q;
  numeric ang,maxNum;
  u:=1in;
  A=(.95*TextWidth,u); B=(0,u); C=(0,0); D=(.95*TextWidth,0);
  p := A--B--C--D;
  q := (TextWidth,1.5u)--(0,1.5u)--(0,-.5u)--(TextWidth,-.5u)--cycle;
  z0=(.1u,0);

   vardef nextPt (expr M,N) = 
   if ypart(N) = 0: 
       H := whatever[N, N + dir(.5*angle(M-N))*u] = whatever[A,B];
   else:
       H := whatever[N, N + dir(.5*angle(M-N))*u] = whatever[C,D];
   fi;
   H
   enddef;

   def grayUD(expr i) =
      draw G -- if ypart(B)=ypart(G): B -- C else: C -- B fi --z[i];
      filldraw z[i]+2*(G-z[i])*u -- z[i] -- z[i+1] -- z[i+1]+(G-z[i])*u -- cycle withcolor .75white; 
      draw G -- z[i+1] dashed evenly;
      draw z[0] for k=0 upto i: --z[k] endfor dashed evenly;
      clip currentpicture to q;
   enddef;

   def linesUD(expr i) =
      draw p;
      draw z0 for k=0 upto i+1: --z[k] endfor dashed evenly;
      setbounds currentpicture to boundingbox q;
   enddef;
\stopbuffer

\startbuffer[UDpts]
   ang := 40;
   z[1] = whatever[z[0], z[0]+dir(ang)*u] = whatever[A,B];
   G := whatever[z[0], z[0]+dir(2*ang)*u] = whatever[A,B];
   for k = 2 upto 20:
      z[k] = nextPt(z[k-2],z[k-1]);
      maxNum := k;
      exitif xpart(z[k]) > TextWidth;
   endfor;
\stopbuffer
\startbuffer[UD0]
   draw p;
   setbounds currentpicture to boundingbox q;
\stopbuffer
\startbuffer[UD1]
   grayUD(0);
\stopbuffer
\startbuffer[UD11]
   linesUD(0);
\stopbuffer
\startbuffer[UD2]
   G := z0;
   grayUD(1)
\stopbuffer
\startbuffer[UD21]
   linesUD(1);
\stopbuffer
\startbuffer[UD3]
   G := z1;
   grayUD(2);
\stopbuffer
\startbuffer[UD31]
   linesUD(2);
\stopbuffer
\startbuffer[UD4]
   G := z2;
   grayUD(3);
\stopbuffer
\startbuffer[UD41]
   linesUD(3);
\stopbuffer
\startbuffer[UD5]
   G := z3;
   grayUD(4);
\stopbuffer
\startbuffer[UD51]
   linesUD(4);
\stopbuffer
\startbuffer[UDFinal]
draw p;
draw z0--z1--z2--z3--z4--z5--z6--z7--z8 dashed evenly;
setbounds currentpicture to boundingbox q;
\stopbuffer
\starttext
\processMPbuffer[UDBasic,UDpts,UD0]
\processMPbuffer[UDBasic,UDpts,UD1]
\processMPbuffer[UDBasic,UDpts,UD11]
\processMPbuffer[UDBasic,UDpts,UD2]
\processMPbuffer[UDBasic,UDpts,UD21]
\processMPbuffer[UDBasic,UDpts,UD3]
\processMPbuffer[UDBasic,UDpts,UD31]
\processMPbuffer[UDBasic,UDpts,UD4]
\processMPbuffer[UDBasic,UDpts,UD41]
\processMPbuffer[UDBasic,UDpts,UD5]
\processMPbuffer[UDBasic,UDpts,UD51]
\processMPbuffer[UDBasic,UDpts,UDFinal]
\stoptext

[NTG-context] simplifying repeated macro calls in metafun

Jeong Dal