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////////////////////////////////////////////////////////////////////////////////
//
// ComputeTriangs.cc
//
// produced: 25 Nov 1999 jr
// last change: 25 nov 1999 jr
//
////////////////////////////////////////////////////////////////////////////////
#include "SimplicialComplex.hh"
#include "CommandlineOptions.hh"
#include "Permutation.hh"
#include "PointConfiguration.hh"
#include "Volumes.hh"
#include "Chirotope.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 "Symmetry.hh"
#include "FineTriang.hh"
#include "SymmetricFlipGraph.hh"
#include "SymmetricExtensionGraphMaster.hh"
#include "RegularityCheck.hh"
#include "ComputeTriangs.hh"
namespace topcom {
const size_type __min_triang_card(const parameter_type no,
const parameter_type rank,
const PointConfiguration& points,
const Chirotope& chiro,
const SymmetryGroup& symmetries,
const bool output_triangs,
const bool only_fine_triangs
) {
SymmetricExtensionGraphMaster segm(no, rank, points, chiro, symmetries, output_triangs, only_fine_triangs, true);
if (CommandlineOptions::verbose()) {
std::cerr << segm.nodecount() << " partial triangulations visited in total." << std::endl;
std::cerr << segm.deadendcount() << " branching deadends." << std::endl;
std::cerr << segm.earlydeadendcount() << " early detected deadends." << std::endl;
std::cerr << segm.mintriang() << " is a minimal triangulation." << std::endl;
std::cerr << segm.mincard() << " simplices in a minimal triangulation." << std::endl;
}
return segm.mincard();
}
const size_type __no_of_all_triangs(const parameter_type no,
const parameter_type rank,
const PointConfiguration& points,
const Chirotope& chiro,
const SymmetryGroup& symmetries,
const bool output_triangs,
const bool only_fine_triangs
) {
SymmetricExtensionGraphMaster segm(no, rank, points, chiro, symmetries, output_triangs, only_fine_triangs, false);
if (CommandlineOptions::verbose()) {
std::cerr << segm.nodecount() << " partial triangulations visited in total." << std::endl;
std::cerr << segm.deadendcount() << " branching deadends." << std::endl;
std::cerr << segm.earlydeadendcount() << " early detected deadends." << std::endl;
std::cerr << segm.maxiter_coversimptighten() << " max iterations in coversimp tightening." << std::endl;
std::cerr << segm.symcount() << " symmetry classes";
if (!CommandlineOptions::skip_orbitcount()) {
std::cerr << " --- " << segm.totalcount() << " triangulations in total";
}
std::cerr << "." << std::endl;
}
return segm.symcount();
}
const size_type __no_of_triangs(const parameter_type no,
const parameter_type rank,
const PointConfiguration& points,
const Chirotope& chiro,
const SymmetryGroup& symmetries,
const SimplicialComplex& seed,
const symmetryptr_datapair& seed_symmetryptrs,
const Volumes* voltableptr,
const bool output_triangs,
const bool fine_only) {
SymmetricFlipGraph sfg(no, rank, points, chiro,
symmetries, seed, seed_symmetryptrs,
voltableptr,
output_triangs, fine_only);
if (CommandlineOptions::verbose()) {
std::cerr << sfg.symcount() << " symmetry classes";
if (!CommandlineOptions::skip_orbitcount()) {
std::cerr << " --- " << sfg.totalcount() << " triangulations in total";
}
std::cerr << "." << std::endl;
}
return sfg.symcount();
}
int ComputeTriangs::run(const int flags) {
if (CommandlineOptions::lp_solver_needed()) {
// some solvers need initialization of global constants etc.:
RegularityCheck::init();
}
{
const bool input_chiro = flags & INPUT_CHIRO;
const bool compute_all = flags & COMPUTE_ALL;
const bool fine_only = flags & FINE_ONLY;
const bool output_triangs = flags & OUTPUT_TRIANGS;
const bool preprocess = flags & PREPROCESS;
const bool findflips = flags & FINDFLIPS;
const bool unimodular = flags & UNIMODULAR;
const bool findmin = flags & FINDMIN;
if (CommandlineOptions::verbose()) {
std::cerr << std::endl;
std::cerr << "------------------------------------------------------------\n";
std::cerr << "------------------ " << PACKAGE << " VERSION " << VERSION << " --------------------\n";
std::cerr << "Triangulations of Point Configurations and Oriented Matroids\n";
std::cerr << "--------------------- by Joerg Rambau ----------------------\n";
std::cerr << "------------------------------------------------------------\n";
std::cerr << std::endl;
#ifdef STL_CONTAINERS
std::cerr << " -- using STL containers for hash tables --" << std::endl;
#endif
#ifdef STL_SYMMETRIES
std::cerr << " -- using STL containers for symmetries --" << std::endl;
#endif
#ifdef STL_FLIPS
std::cerr << " -- using STL containers for flips --" << std::endl;
#endif
#ifdef STL_CHIROTOPE
std::cerr << " -- using STL containers for chirotopes --" << std::endl;
#endif
std::cerr << std::endl;
}
// terminate if non-consistent options have been chosen:
if (input_chiro && CommandlineOptions::check_regular()) {
std::cerr << "regularity check not possible if only chirotope is given; exiting." << std::endl;
exit(1);
}
Chirotope chiro;
PointConfiguration points = PointConfiguration();
if (input_chiro) {
if (CommandlineOptions::output_asy()) {
std::cerr << "graphics output cancelled because of chirotope input." << std::endl;
}
if (!chiro.read_string(std::cin)) {
if (CommandlineOptions::verbose()) {
std::cerr << "error while reading chirotope." << std::endl;
}
return 1;
}
if (CommandlineOptions::verbose()) {
std::cerr << "read chirotope with " << chiro.no()
<< " elements in rank " << chiro.rank() << std::endl;
}
}
else {
if (!points.read(std::cin)) {
if (CommandlineOptions::verbose()) {
std::cerr << "error while reading point configuration." << std::endl;
}
return 1;
}
if (points.rank() < points.rowdim()) {
std::cerr << "point configuration has " << points.rowdim() << " rows of rank " << points.rank() << std::endl;
points.transform_to_full_rank();
std::cerr << "resulting no of rows after transformation: " << points.rank() << std::endl;
points.pretty_print(std::cerr);
}
if ((points.no() < 1) || (points.rank() < 1)) {
if (CommandlineOptions::verbose()) {
std::cerr << "no of points and rank must be at least one." << std::endl;
}
return 1;
}
if (points.rank() > points.no()) {
if (CommandlineOptions::verbose()) {
std::cerr << "rank must not be larger than no of points." << std::endl;
}
return 1;
}
if (CommandlineOptions::verbose()) {
std::cerr << "read point configuration with " << points.no()
<< " points in rank " << points.rank() << std::endl;
}
chiro = Chirotope(points, preprocess);
}
size_type no(chiro.no());
size_type rank(chiro.rank());
SymmetryGroup symmetries(no);
if (!CommandlineOptions::ignore_symmetries()) {
if (CommandlineOptions::use_switch_tables()) {
// if (false) {
if (symmetries.read_generators(std::cin)) {
std::cerr << "read " << symmetries.generators().size()
<< " generators" << std::endl;
if (CommandlineOptions::debug()) {
std::cerr << "symmetries.generators():" << std::endl;
std::cerr << symmetries.generators() << std::endl;
}
}
}
else {
if (symmetries.read(std::cin)) {
if (CommandlineOptions::verbose()) {
std::cerr << "read symmetry group with " << symmetries.generators().size()
<< " generators of order " << symmetries.size() + 1 << std::endl;
if (CommandlineOptions::debug()) {
std::cerr << "symmetries:" << std::endl;
std::cerr << symmetries << std::endl;
}
}
}
}
}
else {
// read symmetries anyway into dummy structure to be able to read seed later:
SymmetryGroup dummy_symmetries(no);
dummy_symmetries.read(std::cin);
if (CommandlineOptions::verbose()) {
std::cerr << "no valid symmetry generators found." << std::endl;
}
}
if (compute_all) {
if (findmin) {
const size_type K = __min_triang_card(no,
rank,
points,
chiro,
symmetries,
output_triangs,
fine_only);
if (CommandlineOptions::verbose()) {
std::cerr << "... done." << std::endl;
}
if (!output_triangs) {
std::cout << K << std::endl;
}
goto TERM_OK;
}
else {
const size_type N = __no_of_all_triangs(no,
rank,
points,
chiro,
symmetries,
output_triangs,
fine_only);
if (CommandlineOptions::verbose()) {
std::cerr << N << " symmetry classes of triangulations in total." << std::endl;
std::cerr << "... done." << std::endl;
}
if (!output_triangs) {
std::cout << N << std::endl;
}
goto TERM_OK;
}
}
else {
Volumes* voltableptr = 0;
if (CommandlineOptions::use_gkz()
&& CommandlineOptions::symmetries_are_isometric()
&& !points.empty()) {
if (CommandlineOptions::verbose()) {
std::cerr << "computing volumes table ..." << std::endl;
}
voltableptr = new Volumes(points);
if (CommandlineOptions::verbose()) {
std::cerr << "... done." << std::endl;
}
}
if (CommandlineOptions::memopt()) {
if (CommandlineOptions::verbose()) {
std::cerr << "no preprocessing of simplex table to save memory" << std::endl;
}
}
else {
if (CommandlineOptions::verbose()) {
std::cerr << "preprocessing simplex table for all simplices up to rank "
<< rank + 1 << " ..." << std::endl;
}
if (voltableptr) {
SimplicialComplex::preprocess_index_table(no, 0, rank + 1, *voltableptr, true);
}
else {
SimplicialComplex::preprocess_index_table(no, 0, rank + 1, chiro, true);
}
if (CommandlineOptions::verbose()) {
std::cerr << "... done: "
<< SimplicialComplex::no_of_simplices(rank)
<< " full-dimensional simplices in rank " << rank << std::endl;
}
}
SimplicialComplex seed;
bool input_seed;
if (!seed.read(std::cin)) {
input_seed = false;
if (CommandlineOptions::verbose()) {
std::cerr << "no valid seed triangulation found" << std::endl;
std::cerr << "computing seed triangulation via placing and pushing ..."
<< std::endl;
}
if (fine_only) {
seed = FineTriang(chiro);
}
else {
seed = PlacingTriang(chiro);
}
}
else {
input_seed = true;
}
if (CommandlineOptions::verbose()) {
std::cerr << "computing symmetries of seed ..." << std::endl;
}
const symmetryptr_datapair seed_symmetryptrs(symmetries.stabilizer_ptrs(seed));
if (CommandlineOptions::verbose()) {
std::cerr << "... done." << std::endl;
std::cerr << seed_symmetryptrs.first.size() << " symmetries in total in seed." << std::endl;
if (CommandlineOptions::debug()) {
std::cerr << "symmetries:" << std::endl;
std::cerr << symmetries << std::endl;
}
}
if (CommandlineOptions::check()) {
if (CommandlineOptions::verbose()) {
std::cerr << "checking seed triangulation ..." << std::endl;
}
if (!(CheckTriang(seed, seed_symmetryptrs, chiro, symmetries, fine_only))()) {
if (CommandlineOptions::verbose()) {
std::cerr << "seed triangulation " << std::endl
<< seed << std::endl
<< "not valid." << std::endl;
}
goto TERM_ERROR;
}
if (CommandlineOptions::verbose()) {
std::cerr << "... done." << std::endl;;
}
}
if (CommandlineOptions::verbose()) {
std::cerr << "seed: " << seed << std::endl;
std::cerr << "containing " << seed.card() << " simplices" << std::endl;
std::cerr << "using the following " << seed.support().card() << " vertices: "
<< seed.support() << std::endl;
std::cerr << "... done." << std::endl;
}
if (findflips) {
if (CommandlineOptions::verbose()) {
std::cerr << "count all flips of seed ..." << std::endl;
}
const TriangNode tn(0, no, rank, seed);
const TriangFlips tf(chiro, tn, seed_symmetryptrs, fine_only);
if (CommandlineOptions::verbose()) {
std::cerr << tf.flips().size() << " flips in total." << std::endl;
std::cerr << "... done." << std::endl;
}
if (output_triangs) {
std::cout << tf << std::endl;
}
else {
std::cout << tf.flips().size() << std::endl;
}
goto TERM_OK;
}
if (CommandlineOptions::verbose()) {
std::cerr << "exploring all seed-connected symmetry classes of triangulations by flipping ..." << std::endl;
}
const size_type N = __no_of_triangs(no, rank, points, chiro,
symmetries,
seed, seed_symmetryptrs,
voltableptr,
output_triangs, fine_only);
if (CommandlineOptions::verbose()) {
std::cerr << N << " symmetry classes of triangulations in total." << std::endl;
std::cerr << "... done." << std::endl;
}
if (!output_triangs) {
std::cout << N << std::endl;
}
delete voltableptr;
goto TERM_OK;
}
}
TERM_ERROR:
if (CommandlineOptions::lp_solver_needed()) {
// some solvers need termination of global constants etc.:
RegularityCheck::term();
}
return 1;
TERM_OK:
if (CommandlineOptions::lp_solver_needed()) {
// some solvers need termination of global constants etc.:
RegularityCheck::term();
}
return 0;
}
}; // namespace topcom
// eof ComputeTriangs.cc
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