File: _4ti2.rules

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#  Copyright (c) 1997-2020
#  Ewgenij Gawrilow, Michael Joswig, and the polymake team
#  Technische Universität Berlin, Germany
#  https://polymake.org
#
#  This program is free software; you can redistribute it and/or modify it
#  under the terms of the GNU General Public License as published by the
#  Free Software Foundation; either version 2, or (at your option) any
#  later version: http://www.gnu.org/licenses/gpl.txt.
#
#  This program is distributed in the hope that it will be useful,
#  but WITHOUT ANY WARRANTY; without even the implied warranty of
#  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
#  GNU General Public License for more details.
#-------------------------------------------------------------------------------

REQUIRE polytope::_4ti2.rules


object polytope::Cone<Rational> {

   # Use 4ti2 to compute the toric ideal of a cone.
   rule _4ti2.toric_ideal : TORIC_IDEAL.BINOMIAL_GENERATORS : HILBERT_BASIS_GENERATORS {
      my $H = $this->HILBERT_BASIS_GENERATORS->[0];
      
      # Creating temporary file for input.
      my $temp = new Tempfile;
      open(my $input, ">$temp.mat")
         or die "Could not write input file.";

      # Printing Hilbert basis to file.
      print $input $H->cols, " ", $H->rows, "\n";
      print $input new Matrix<Integer>(transpose($H));
      close $input;

      # Running 4ti2.
      open(my $P, "$groebner $temp 2>&1 |")
         or die "couldn't run 4ti2's 'groebner': $!";
      local $_;
      while(<$P>) {
         # print $_;
      }
      close $P;

      # Parsing output.
      open(my $output, "<$temp.gro")
         or die "No output file found.";
      local $_;
      my @ti = ();
      while(<$output>) {   
         if(/^$/) {
            next;
         }
         # print "line: ".$_;
         my @p = split;
         push @ti, \@p;
      }
      my $size = @ti;
      @ti = @ti[1..($size-1)];

      close $output;
      $this->TORIC_IDEAL->BINOMIAL_GENERATORS = scalar(@ti) ? new Matrix<Integer>(\@ti) : new Matrix<Integer>(0, $H->cols());
   }

}