#!/bin/bash

echo | awk 'BEGIN {
minT='$1';
maxT='$2';
ticTstep='$3';
ticsize=0.05;
ticstep=0.25;
print "# vtk DataFile Version 3.0\nvtk output\nASCII\nDATASET POLYDATA";
npt=6;
for (T=minT; T<=maxT+ticTstep/2.; T+=ticTstep) {npt+=6;}
for (t=0; t<=1.01; t+=ticstep) {npt+=6;}
print "POINTS" , npt , "float";
s60=sqrt(3.)/2.;
c60=0.5;
for (T=minT; T<=maxT+(maxT-minT)/2.; T+=maxT-minT) {
  print T,0,0;
  print T,1,0;
  print T,c60,s60;
}
ntic=0;
for (t=0; t<=1.01; t+=ticstep) {
  print minT,t,0;
  print minT,t+c60*ticsize,-s60*ticsize;

  print minT,1-t*c60,t*s60;
  print minT,1-t*c60+c60*ticsize,t*s60+s60*ticsize;

  print minT,c60*(1.-t),s60*(1.-t);
  print minT,c60*(1.-t)-ticsize,s60*(1.-t);

  ntic+=3;
}
for (T=minT; T<=maxT+ticTstep/2.; T+=ticTstep) {
  print T,0,0;
  print T,-s60*ticsize,-c60*ticsize;

  print T,1,0;
  print T,1+s60*ticsize,-c60*ticsize;

  print T,c60,s60;
  print T,c60,s60+ticsize;

  ntic+=3;
}
nln=9+ntic;
print "LINES ",nln,nln*3;
print 2,0,1;
print 2,1,2;
print 2,2,0;
print 2,3,4;
print 2,4,5;
print 2,5,3;
print 2,0,3;
print 2,1,4;
print 2,2,5;
for (i=0; i<ntic; i++) {
print 2,6+2*i,6+2*i+1;
}
}' > axes.vtk