#  Copyright (c) 1997-2004
#  Ewgenij Gawrilow, Michael Joswig (Technische Universitaet Berlin, Germany)
#  http://www.math.tu-berlin.de/polymake,  mailto:polymake@math.tu-berlin.de
#
#  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.
#-----------------------------------------------------------------------------
#  $Project: polymake $$Id: triangulation_volumes 7475 2006-11-22 22:42:02Z gawrilow $

application 'polytope';

die "usage: polymake --script triangulation_volumes FILE\n" unless @ARGV;

my $p=load($ARGV[0]);
my @vertices= @{$p->VERTICES};

foreach my $this_face (@{$p->TRIANGULATION}) {
  my @this_simplex= $this_face =~ /(\d+)/g;
  my @these_vertices= @vertices[@this_simplex];
  my $simplex=new Apps::polytope::RationalPolytope("some simplex", VERTICES=>\@these_vertices);
  print "The simplex {@this_simplex} has volume ", $simplex->VOLUME, ".\n";
}

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