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////////////////////////////////////////////////////////////////////////////////
//
// ComputeTriangs.cc
//
// produced: 25 Nov 1999 jr
//
////////////////////////////////////////////////////////////////////////////////
#include "Signal.hh"
#include "CommandlineOptions.hh"
#include "Permutation.hh"
#include "Volumes.hh"
#include "Circuits.hh"
#include "Facets.hh"
#include "Admissibles.hh"
#include "InteriorFacets.hh"
#include "PartialTriang.hh"
#include "CheckTriang.hh"
#include "Flip.hh"
#include "MarkedFlips.hh"
#include "TriangNode.hh"
#include "TriangFlips.hh"
#include "FineTriang.hh"
#include "SymmetricFlipGraph.hh"
#include "SymmetricExtensionGraphMaster.hh"
#include "ComputeTriangs.hh"
namespace topcom {
Message& ComputeTriangs::write_header(Message& msg) const {
msg << std::endl;
msg << "------------------------------------------------------------------\n";
msg << " computing triangulations of a point configuration up to symmetry \n";
msg << " TOPCOM client: " << CommandlineOptions::client() << '\n';
msg << "------------------------------------------------------------------\n";
msg << std::endl;
return msg;
}
std::istream& ComputeTriangs::read_input(std::istream& ist) {
if (input_chiro) {
_chiroptr = new Chirotope();
if (CommandlineOptions::output_asy()) {
MessageStreams::forced() << "graphics output cancelled because of chirotope input." << std::endl;
}
if (!_chiroptr->read_string(ist)) {
MessageStreams::forced() << "error while reading chirotope - exiting" << std::endl;
exit(1);
}
MessageStreams::verbose() << "read chirotope with " << _chiroptr->no()
<< " elements in rank " << _chiroptr->rank() << std::endl;
}
else {
_pointsptr = new PointConfiguration();
if (!_pointsptr->read(ist)) {
MessageStreams::forced() << "error while reading point configuration - exiting" << std::endl;
exit(1);
}
if (_pointsptr->rank() < _pointsptr->rowdim()) {
MessageStreams::forced() << "point configuration has " << _pointsptr->rowdim() << " rows of rank " << _pointsptr->rank() << std::endl;
_pointsptr->transform_to_full_rank();
MessageStreams::forced() << "resulting no of rows after transformation: " << _pointsptr->rank() << std::endl;
_pointsptr->pretty_print(MessageStreams::forced());
}
if ((_pointsptr->no() < 1) || (_pointsptr->rank() < 1)) {
std::cerr << "no of points and rank must be at least one - exiting" << std::endl;
exit(1);
}
if (_pointsptr->rank() > _pointsptr->no()) {
std::cerr << "rank must not be larger than no of points - exiting" << std::endl;
exit(1);
}
MessageStreams::verbose() << "read point configuration with " << _pointsptr->no()
<< " points in rank " << _pointsptr->rank() << std::endl;
_chiroptr = new Chirotope(*_pointsptr, preprocess);
}
_no = _chiroptr->no();
_rank = _chiroptr->rank();
MessageStreams::verbose() << "checking for symmetries ..." << std::endl;
_symmetriesptr = new SymmetryGroup(_no); // all configurations have a symmetry group
if (!CommandlineOptions::ignore_symmetries()) {
if (CommandlineOptions::use_switch_tables()
&& !CommandlineOptions::require_point()
&& (CommandlineOptions::required_point() < _no)
&& (CommandlineOptions::required_point() >= 0)) {
if (_symmetriesptr->read_generators(ist)) {
std::cerr << "read " << _symmetriesptr->generators().size()
<< " generators" << std::endl;
if (CommandlineOptions::debug()) {
std::cerr << "_symmetriesptr->generators():" << std::endl;
std::cerr << _symmetriesptr->generators() << std::endl;
}
}
}
else {
if (_symmetriesptr->read(ist)) {
MessageStreams::verbose() << "read symmetry group with " << _symmetriesptr->generators().size()
<< " generators of order " << _symmetriesptr->size() + 1 << std::endl;
MessageStreams::debug() << "symmetries:" << '\n'
<< *_symmetriesptr << std::endl;
if (CommandlineOptions::require_point()
&& (CommandlineOptions::required_point() < _no)
&& (CommandlineOptions::required_point() >= 0)) {
// if an existing point is required to be in any simplex, only point-stabilizing symmetries are compatible
// because otherwise we need that lex-minimal triangulations requiring a point need to remain
// lex-minimal in their orbits:
MessageStreams::verbose() << "reducing symmetry group to stabilizer of " << CommandlineOptions::required_point() << " ..." << std::endl;
SymmetryGroup compatible_symmetries(_symmetriesptr->stabilizer(IntegerSet(CommandlineOptions::required_point())));
*_symmetriesptr = compatible_symmetries;
MessageStreams::verbose() << "... order of compatible symmetries: " << _symmetriesptr->size() + 1 << std::endl;
}
}
}
}
else {
// read symmetries anyway into dummy structure to be able to read seed later:
SymmetryGroup dummy_symmetries(_no);
dummy_symmetries.read(ist);
MessageStreams::verbose() << "symmetry generators ignored." << std::endl;
}
MessageStreams::verbose() << "... done." << std::endl;
MessageStreams::verbose() << "checking for seed triangulation ..." << std::endl;
SimplicialComplex seed;
if (!seed.read(ist) || seed.empty()) { // empty seed encodes no seed
MessageStreams::verbose() << "... no non-empty seed given ..." << std::endl;
}
else {
MessageStreams::verbose() << "... found seed " << seed << std::endl;
_seedptr = new SimplicialComplex(seed); // only here, a seed is given in the input
}
MessageStreams::verbose() << "... done." << std::endl;
MessageStreams::verbose() << "checking for required symmetries for triangulations ..." << std::endl;
_required_symmetriesptr = new SymmetryGroup(_no); // required symmetries always exist (trivial group for non-symmetric configurations)
if (CommandlineOptions::observe_required_symmetries()) {
if (_required_symmetriesptr->read(ist)) {
MessageStreams::verbose() << "read " << _required_symmetriesptr->generators().size() << " required symmetries beyond the identity" << std::endl;
}
else {
MessageStreams::verbose() << "no valid required symmetry generators found." << std::endl;
}
}
else {
MessageStreams::verbose() << "required symmetry generators ignored." << std::endl;
}
MessageStreams::verbose() << "... done." << std::endl;
return ist;
}
const std::pair<size_type, SimplicialComplex> ComputeTriangs::findmin_by_extension(const parameter_type no,
const parameter_type rank,
const PointConfiguration* pointsptr,
const Chirotope* chiroptr,
const SymmetryGroup* symmetriesptr,
const SymmetryGroup* required_symmetriesptr,
const bool output_triangs,
const bool only_fine_triangs) {
SymmetricExtensionGraphMaster segm(no,
rank,
pointsptr,
chiroptr,
symmetriesptr,
required_symmetriesptr,
output_triangs,
only_fine_triangs,
true);
MessageStreams::verbose() << segm.nodecount() << " partial triangulations visited in total." << std::endl;
MessageStreams::verbose() << segm.deadendcount() << " branching deadends." << std::endl;
MessageStreams::verbose() << segm.earlydeadendcount() << " early detected deadends." << std::endl;
MessageStreams::verbose() << segm.mintriang() << " is a minimal triangulation." << std::endl;
MessageStreams::verbose() << segm.mincard() << " simplices in a minimal triangulation." << std::endl;
return std::pair<size_type, SimplicialComplex>(segm.mincard(), segm.mintriang());
}
const size_type ComputeTriangs::enumerate_by_extension(const parameter_type no,
const parameter_type rank,
const PointConfiguration* pointsptr,
const Chirotope* chiroptr,
const SymmetryGroup* symmetriesptr,
const SymmetryGroup* required_symmetriesptr,
const bool output_triangs,
const bool only_fine_triangs) {
SymmetricExtensionGraphMaster segm(no,
rank,
pointsptr,
chiroptr,
symmetriesptr,
required_symmetriesptr,
output_triangs,
only_fine_triangs,
false);
if (Signal::signal_received()) {
MessageStreams::verbose().print_dumpseparator();
MessageStreams::verbose() << "### intermediate results at checkpoint forced by signal:" << std::endl;
MessageStreams::verbose().print_dumpseparator();
}
MessageStreams::verbose() << segm.nodecount() << " partial triangulations visited in total." << std::endl;
MessageStreams::verbose() << segm.deadendcount() << " branching deadends." << std::endl;
MessageStreams::verbose() << segm.earlydeadendcount() << " early detected deadends." << std::endl;
MessageStreams::verbose() << segm.maxiter_coversimptighten() << " max iterations in coversimp tightening." << std::endl;
MessageStreams::verbose() << segm.symcount() << " symmetry classes";
if (!CommandlineOptions::skip_orbitcount()) {
MessageStreams::verbose() << " --- " << segm.totalcount() << " triangulations in total";
}
MessageStreams::verbose() << "." << std::endl;
return segm.symcount();
}
const size_type ComputeTriangs::enumerate_by_flips(const parameter_type no,
const parameter_type rank,
const PointConfiguration* pointsptr,
const Chirotope* chiroptr,
const SymmetryGroup* symmetriesptr,
const SymmetryGroup* required_symmetriesptr,
const SimplicialComplex* seedptr,
const symmetryptr_datapair* seed_symmetryptrs,
const Volumes* voltableptr,
const bool output_triangs,
const bool fine_only) {
SymmetricFlipGraph sfg(no,
rank,
pointsptr,
chiroptr,
symmetriesptr,
required_symmetriesptr,
seedptr,
seed_symmetryptrs,
voltableptr,
output_triangs,
fine_only);
MessageStreams::verbose() << sfg.symcount() << " symmetry classes";
if (!CommandlineOptions::skip_orbitcount()) {
MessageStreams::verbose() << " --- " << sfg.totalcount() << " triangulations in total";
}
MessageStreams::verbose() << "." << std::endl;
return sfg.symcount();
}
int ComputeTriangs::run() {
// // write TOPCOM header with version information:
// global::write_topcom_header(std::cerr);
// write header for computations concerning triangulations:
write_header(MessageStreams::forced());
// terminate if non-consistent options have been chosen:
if (input_chiro && CommandlineOptions::check_regular()) {
MessageStreams::forced() << "regularity check not possible if only chirotope is given - exiting." << std::endl;
exit(1);
}
if (input_chiro && CommandlineOptions::use_volumes()) {
MessageStreams::forced() << "volumes not exploitable if only chirotope is given - exiting." << std::endl;
exit(1);
}
// read input from stdin or file (depending on commandline options):
read_input(std::cin);
// compute according to flags:
if (compute_all) {
if (findmin) {
const std::pair<size_type, SimplicialComplex> mintriang_pair = findmin_by_extension(_no,
_rank,
_pointsptr,
_chiroptr,
_symmetriesptr,
_required_symmetriesptr,
output_triangs,
fine_only);
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "... done." << std::endl;
}
if (mintriang_pair.second.empty()) {
MessageStreams::result() << "[-, -]" << std::endl;
}
else {
MessageStreams::result() << mintriang_pair << std::endl;
}
return Signal::exit_value();
}
else {
const size_type N = enumerate_by_extension(_no,
_rank,
_pointsptr,
_chiroptr,
_symmetriesptr,
_required_symmetriesptr,
output_triangs,
fine_only);
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << N << " symmetry classes of triangulations in total." << std::endl;
MessageStreams::verbose() << "... done." << std::endl;
}
if (!output_triangs) {
MessageStreams::result() << N << std::endl;
}
return Signal::exit_value();
}
}
else {
if (CommandlineOptions::use_gkz()
&& CommandlineOptions::symmetries_are_isometric()
&& _pointsptr) {
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "computing volumes table ..." << std::endl;
}
_voltableptr = new Volumes(*_pointsptr);
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "... done." << std::endl;
}
}
if (CommandlineOptions::memopt()) {
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "no preprocessing of simplex table to save memory" << std::endl;
}
}
else {
const parameter_type pprank = std::min<parameter_type>(_rank + 1, _no);
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "preprocessing simplex table for all simplices up to rank "
<< pprank << " ..." << std::endl;
}
if (_voltableptr) {
SimplicialComplex::preprocess_index_table(_no, 0, pprank, *_voltableptr, true);
}
else {
SimplicialComplex::preprocess_index_table(_no, 0, pprank, *_chiroptr, true);
}
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "... done: "
<< SimplicialComplex::no_of_simplices(_rank)
<< " full-dimensional simplices in rank " << _rank << std::endl;
}
}
// for a flipping algorithm we need a seed anyway:
if (!_seedptr) {
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "no valid seed triangulation found" << std::endl;
MessageStreams::verbose() << "computing seed triangulation via placing and pushing ..."
<< std::endl;
}
if (fine_only) {
_seedptr = new FineTriang(*_chiroptr);
}
else {
_seedptr = new PlacingTriang(*_chiroptr);
}
}
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "seed: " << *_seedptr << std::endl;
MessageStreams::verbose() << "containing " << _seedptr->card() << " simplices" << std::endl;
MessageStreams::verbose() << "using the following " << _seedptr->support().card() << " vertices: "
<< _seedptr->support() << std::endl;
MessageStreams::verbose() << "... done." << std::endl;
}
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "computing symmetries of seed ..." << std::endl;
}
if (!_symmetriesptr->complete()) {
_symmetriesptr->closure();
}
_seed_symmetryptrsptr = new symmetryptr_datapair(_symmetriesptr->stabilizer_ptrs(*_seedptr));
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "... done." << std::endl;
MessageStreams::verbose() << _seed_symmetryptrsptr->first.size() << " symmetries in total in seed." << std::endl;
if (CommandlineOptions::debug()) {
MessageStreams::debug() << "symmetries:" << '\n'
<< *_symmetriesptr << std::endl;
}
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "... done." << std::endl;;
}
}
if (CommandlineOptions::check()) {
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "checking seed triangulation ..." << std::endl;
}
if (!(CheckTriang(*_seedptr, *_seed_symmetryptrsptr, *_chiroptr, *_symmetriesptr, *_required_symmetriesptr, fine_only))()) {
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "seed triangulation " << std::endl
<< *_seedptr << std::endl
<< "not valid." << std::endl;
}
return 1;
}
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "... done." << std::endl;;
}
}
if (findflips) {
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "count all flips of seed ..." << std::endl;
}
const TriangNode tn(0, _no, _rank, *_seedptr);
const TriangFlips tf(*_chiroptr, nullptr, tn, *_seed_symmetryptrsptr, fine_only);
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << tf.flips().size() << " flips in total." << std::endl;
MessageStreams::verbose() << "... done." << std::endl;
}
if (output_triangs) {
MessageStreams::result() << tf << std::endl;
}
else {
MessageStreams::result() << tf.flips().size() << std::endl;
}
return Signal::exit_value();
}
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << "exploring all seed-connected symmetry classes of triangulations by flipping ..." << std::endl;
}
const size_type N = enumerate_by_flips(_no,
_rank,
_pointsptr,
_chiroptr,
_symmetriesptr,
_required_symmetriesptr,
_seedptr,
_seed_symmetryptrsptr,
_voltableptr,
output_triangs,
fine_only);
if (CommandlineOptions::verbose()) {
MessageStreams::verbose() << N << " symmetry classes of triangulations in total." << std::endl;
MessageStreams::verbose() << "... done." << std::endl;
}
if (!output_triangs) {
MessageStreams::result() << N << std::endl;
}
return Signal::exit_value();
}
}
}; // namespace topcom
// eof ComputeTriangs.cc
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