#  Copyright (c) 1997-2015
#  Ewgenij Gawrilow, Michael Joswig (Technische Universitaet Berlin, Germany)
#  http://www.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.
#-------------------------------------------------------------------------------


# object IsotypicComponent {

# # When the domain sets are listed in orbit order, pi_V decomposes into
# # diagonal blocks, one for each orbit. For each orbit representative
# # sigma, we remember the list of images g(sigma) that index linearly
# # independent rows of pi_V.
# property SPARSE_BASIS : Array<HashMap<Bitset,Rational>>;

# } # end object IsotypicComponent


object Cone {

    property GROUP {

        # @category Symmetry
        property BITSET_ACTION : group::ImplicitActionOnSets : multiple;

    }

    rule GROUP.BITSET_ACTION.ORBIT_REPRESENTATIVES, GROUP.BITSET_ACTION.ORBIT_SIZES : GROUP.BITSET_ACTION.DOMAIN_NAME, GROUP.BITSET_ACTION.GENERATORS, MAX_INTERIOR_SIMPLICES | INTERIOR_RIDGE_SIMPLICES {
        my $dom = $this->GROUP->BITSET_ACTION->DOMAIN_NAME;
        my ($reps, $sizes) = reps_and_sizes($this->GROUP->BITSET_ACTION->GENERATORS, $this->$dom);
        $this->GROUP->BITSET_ACTION->ORBIT_REPRESENTATIVES = $reps;
        $this->GROUP->BITSET_ACTION->ORBIT_SIZES = $sizes;
    }

} # end object Cone




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