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# Copyright (c) 1997-2024
# 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.
#-------------------------------------------------------------------------------
# Contributed by authors as mentioned on:
# https://github.com/lkastner/polymake_toric/wiki/Authors
#
# Project home:
# https://github.com/lkastner/polymake_toric
REQUIRE fan::gfan.rules
CREDIT gfan
# path to gfan
custom $gfan_buchberger;
custom $gfan_homogenize;
custom $gfan_tropicalbruteforce;
custom $gfan_tropicalhypersurface;
custom $gfan_tropicalintersection;
custom $gfan_tropicalstartingcone;
custom $gfan_tropicaltraverse;
CONFIGURE {
$gfan_buchberger = $fan::gfan_bases =~ s/gfan_bases$/gfan_buchberger/r;
$gfan_homogenize = $gfan_buchberger =~ s/gfan_buchberger$/gfan_homogenize/r;
$gfan_tropicalbruteforce = $gfan_buchberger =~ s/gfan_buchberger$/gfan_tropicalbruteforce/r;
$gfan_tropicalhypersurface = $gfan_buchberger =~ s/gfan_buchberger$/gfan_tropicalhypersurface/r;
$gfan_tropicalintersection = $gfan_buchberger =~ s/gfan_buchberger$/gfan_tropicalintersection/r;
$gfan_tropicalstartingcone = $gfan_buchberger =~ s/gfan_buchberger$/gfan_tropicalstartingcone/r;
$gfan_tropicaltraverse = $gfan_buchberger =~ s/gfan_buchberger$/gfan_tropicaltraverse/r;
}
# @category gfan
# Calls gfan_tropicalintersection for a homogeneous ideal.
# @param ideal::Ideal I homogeneous ideal
# @return Cycle<Max> most likely not balanced
user_function gfan_tropicalintersection(ideal::Ideal) {
my ($I) = @_;
return gfan_to_tropical_cycle(fan::run_gfan(sub { fan::gfan_print_ideal($_[0], $I) },
$gfan_tropicalintersection));
}
# @category gfan
# Calls gfan_tropicalhypersurface for a single polynomial.
# If the polynomial is a monomial, gfan will return an empty object and the xslt parsing fails. We do not catch this for you.
# @param Polynomial<Rational> p homogeneous polynomial
# @return Cycle<Max>
user_function gfan_tropicalhypersurface(Polynomial) {
my ($g) = @_;
my $I = new ideal::Ideal(GENERATORS => [$g]);
return gfan_to_tropical_cycle(fan::run_gfan(sub { fan::gfan_print_ideal($_[0], $I) },
$gfan_tropicalhypersurface));
}
# @category gfan
# Calls gfan_tropicalstartingcone | gfan_tropicaltraverse for a homogeneous prime ideal.
# If the ideal contains a monomial, gfan will return an empty object and the xslt parsing fails. We do not catch this for you.
# @param ideal::Ideal I homogeneous prime ideal
# @return Cycle<Max>
user_function gfan_tropicalvariety_of_prime(ideal::Ideal) {
my ($I) = @_;
return gfan_to_tropical_cycle(fan::run_gfan(sub { fan::gfan_print_ideal($_[0], $I) },
$gfan_tropicalstartingcone, $gfan_tropicaltraverse));
}
# @category gfan
# Calls gfan_tropicalbruteforce for a homogeneous ideal.
# If the ideal contains a monomial, gfan will return an empty object. We do not catch this for you.
# @param ideal::Ideal I homogeneous ideal
# @return fan::PolyhedralFan
user_function gfan_tropicalbruteforce(ideal::Ideal) {
my ($I) = @_;
return fan::gfan_to_symmetric_fan(fan::run_gfan(sub { fan::gfan_print_ideal($_[0], $I) },
$gfan_tropicalbruteforce));
}
sub gfan_to_tropical_cycle {
my ($data) = @_;
my $result = new Cycle<Max>();
my $ambient_dim = $data->{AMBIENT_DIM};
$result->FAN_AMBIENT_DIM = $ambient_dim+1;
$result->FAN_DIM = $data->{DIM};
$result->PURE = $data->{PURE};
$result->SIMPLICIAL = $data->{SIMPLICIAL};
# concatenate all vectors in MULTIPLICITIES and rename to WEIGHTS
if (defined(my $m = $data->{MULTIPLICITIES})) {
$result->WEIGHTS = [ map { @$_ } @$m ];
}
# add leading 0 to RAYS and the origin, rename to PROJECTIVE_VERTICES
if (defined(my $rays = $data->{RAYS})) {
unshift @$_, "0" for @$rays;
push @$rays, [ "1", ("0") x $ambient_dim ];
$result->PROJECTIVE_VERTICES = $rays;
}
# add leading 0 to LINEALITY_SPACE; mod out (1,1...1)
my $lineality = $data->{LINEALITY_SPACE};
if (defined($lineality) && @$lineality) {
unshift @$_, "0" for @$lineality;
$lineality = new Matrix<Rational>($lineality);
canonicalize_scalar_to_leading_zero($lineality->minor(All, range_from(1)));
$result->LINEALITY_SPACE = $lineality->minor(basis_rows($lineality), All);
} else {
$result->LINEALITY_SPACE = new Matrix<Rational>(0, $ambient_dim+1);
}
# add new ray to MAXIMAL_CONES
my $mc = $data->{MAXIMAL_CONES};
if (defined($mc) && @$mc) {
my $last_ray = $data->{N_RAYS};
foreach (@$mc) {
if (is_hash($_)) {
if (defined($_->{cols})) {
$_->{cols}++;
} elsif (keys %$_ == 0) {
# empty row
$_ = [ $last_ray ];
} else {
die "unexpected row in MAXIMAL_CONES input\n";
}
} else {
push @$_, $last_ray;
}
}
$result->MAXIMAL_POLYTOPES = $mc;
}
$result->commit();
return $result;
}
# Local Variables:
# mode: perl
# cperl-indent-level: 3
# indent-tabs-mode:nil
# End:
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