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////////////////////////////////////////////////////////////////////////////////
//
// SymmetricFlipGraph.cc
//
// produced: 24/07/98 jr
//
////////////////////////////////////////////////////////////////////////////////
#include <sstream>
#include "SymmetricFlipGraph.hh"
#include "PlacingTriang.hh"
namespace topcom {
SymmetricFlipGraph::SymmetryWorker::SymmetryWorker(SymmetryWorker&& sw) :
_workerID(sw._workerID),
_callerptr(sw._callerptr),
_worker_symmetriesptr(sw._worker_symmetriesptr),
_tn(sw._tn),
_equivalent_tnode(sw._equivalent_tnode),
_gkz(sw._gkz),
_equivalent_gkz(sw._equivalent_gkz),
_state(State::idle) {
MessageStreams::debug() << "generated a worker with symmetries " << *_worker_symmetriesptr << std::endl;
}
SymmetricFlipGraph::SymmetryWorker::SymmetryWorker(const int workerID,
SymmetricFlipGraph& sfg,
simpidx_symmetries_type& syms) :
_workerID(workerID),
_callerptr(&sfg),
_worker_symmetriesptr(&syms),
_tn(-1, sfg._no, sfg._rank, SimplicialComplex()),
_equivalent_tnode(-1, sfg._no, sfg._rank, SimplicialComplex()),
_gkz(sfg._no),
_equivalent_gkz(sfg._no),
_state(State::idle) {
MessageStreams::debug() << "generated a worker with symmetries " << *_worker_symmetriesptr << std::endl;
}
void SymmetricFlipGraph::SymmetryWorker::find_old_symmetry_class() {
// some other thread may have found that current_partial_triang is not new:
if (_callerptr->_location_of_old_symmetry_class != 0) {
return;
}
if (_worker_symmetriesptr->empty()) {
return;
}
for (simpidx_symmetries_type::iterator iter = _worker_symmetriesptr->begin();
iter != _worker_symmetriesptr->end();
++iter) {
// some other thread may have found that current_partial_triang is not new:
if (_callerptr->_location_of_old_symmetry_class != 0) {
return;
}
std::pair<Symmetry, Symmetry>& g_pair(*iter);
// const Symmetry& g_elem(iter->first);
// const Symmetry& g_simpidx(iter->second);
// use GKZ vectors for preliminary check:
if (CommandlineOptions::use_gkz() && _callerptr->_voltableptr) {
g_pair.first.map_into(_gkz, _equivalent_gkz);
if (_callerptr->_known_gkzs.find(_equivalent_gkz) == _callerptr->_known_gkzs.end()) {
continue;
}
}
// map tnode depending on whether simplex-index representation is present:
// if yes, map the triangulation's index set; if no, map all simplices
// in the ordinary way:
_callerptr->_map_into(g_pair, _tn, _equivalent_tnode);
// old direct method is deprecated:
// const TriangNode& equivalent_tnode(g.map(_tn));
tnode_container_type::iterator find_previous_iter = _callerptr->_previous_triangs.find(_equivalent_tnode);
if (find_previous_iter != _callerptr->_previous_triangs.end()) {
std::lock_guard<std::mutex> pushresults_guard(_callerptr->_old_symmetry_class_pushresults_mutex);
_callerptr->_orbitsize = 0;
_callerptr->_find_iter = std::move(find_previous_iter);
_callerptr->_transformation = std::move(g_pair.first);
_callerptr->_representative = std::move(_equivalent_tnode);
_callerptr->_location_of_old_symmetry_class = 1;
return;
}
tnode_container_type::iterator find_new_iter = _callerptr->_new_triangs.find(_equivalent_tnode);
if (find_new_iter != _callerptr->_new_triangs.end()) {
std::lock_guard<std::mutex> pushresults_guard(_callerptr->_old_symmetry_class_pushresults_mutex);
_callerptr->_orbitsize = 0;
_callerptr->_find_iter = std::move(find_new_iter);
_callerptr->_transformation = std::move(g_pair.first);
_callerptr->_representative = std::move(_equivalent_tnode);
_callerptr->_location_of_old_symmetry_class = 2;
return;
}
}
return;
}
void SymmetricFlipGraph::SymmetryWorker::build_orbit_with_searchpred() const {
for (simpidx_symmetries_type::const_iterator iter = _worker_symmetriesptr->begin();
iter != _worker_symmetriesptr->end();
++iter) {
const std::pair<Symmetry, Symmetry>& g_pair(*iter);
// const Symmetry& g_elem(iter->first);
// const Symmetry& g_simpidx(iter->second);
if (!_callerptr->_node_symmetryptrs.second.empty()
&& (_callerptr->_node_symmetryptrs.second.find(&g_pair.first) != _callerptr->_node_symmetryptrs.second.end())) {
// g is in stabilizer of tnode - nothing new:
continue;
}
// generic map (via index set if present, via set if not):
const TriangNode equivalent_tnode(std::move(_callerptr->_map(g_pair, _tn)));
// deprecated:
// const TriangNode& equivalent_tnode = g.map(tnode);
// check whether we already have that image of tnode in one of the workers' orbit:
bool is_new(true);
for (int i = 0; i < _callerptr->_no_of_threads; ++i) {
if (_callerptr->_worker_orbits[i].find(equivalent_tnode) != _callerptr->_worker_orbits[i].end()) {
is_new = false;
break;
}
}
if (is_new) {
if (_callerptr->_predicates_checker.all_search_predicates_invariant()
&& _callerptr->_predicates_checker.all_output_predicates_invariant()) {
if (_callerptr->_rep_has_search_pred
&& _callerptr->_predicates_checker.check_output_predicates(*_callerptr->_pointsptr,
*_callerptr->_chiroptr,
*_callerptr->_inctableptr,
_tn)) {
// in this case, no check required because symmetries do not change
// the search predicate:
_callerptr->_worker_orbits[_workerID].insert(std::move(equivalent_tnode));
}
else {
// no further triangulation with search predicate in orbit:
break;
}
}
else {
// if not, check the search predicate (e.g., regularity):
// here we need to check the orbit element directly:
if (_callerptr->_predicates_checker.check_search_predicates(*_callerptr->_pointsptr,
*_callerptr->_chiroptr,
*_callerptr->_inctableptr,
equivalent_tnode)
&& _callerptr->_predicates_checker.check_output_predicates(*_callerptr->_pointsptr,
*_callerptr->_chiroptr,
*_callerptr->_inctableptr,
equivalent_tnode)) {
_callerptr->_worker_orbits[_workerID].insert(std::move(equivalent_tnode));
_callerptr->_triang_outputter.print_triang(MessageStreams::result(),
_callerptr->_symcount,
equivalent_tnode,
_workerID,
_callerptr->_worker_orbits[_workerID].size() - 1);
}
}
}
}
}
// interface with caller:
void SymmetricFlipGraph::SymmetryWorker::pass_work_for_find_old_symmetry_class(const TriangNode& tn,
const Vector& gkz) {
_tn = tn;
_gkz = gkz;
std::lock_guard<std::mutex> lock(_callerptr->_main_mutex);
_state = State::hired_for_find_old_symmetry_class;
}
void SymmetricFlipGraph::SymmetryWorker::pass_work_for_build_orbit_with_searchpred(const TriangNode& tn) {
_tn = tn;
std::lock_guard<std::mutex> lock(_callerptr->_main_mutex);
_state = State::hired_for_build_orbit_with_searchpred;
}
void SymmetricFlipGraph::SymmetryWorker::stop_worker() {
_state = State::stopped;
worker_condition.notify_one();
}
bool SymmetricFlipGraph::SymmetryWorker::_wake_up() const {
return (_state != State::idle);
}
void SymmetricFlipGraph::SymmetryWorker::operator()() {
// perform the postponed generation of simpidx symmetries:
if (CommandlineOptions::simpidx_symmetries()) {
size_type cnt = 0;
MessageStreams::verbose() << "inserting simpidx symmetries for worker " << _workerID << " ..." << std::endl;
for (simpidx_symmetries_type::iterator iter = _worker_symmetriesptr->begin();
iter != _worker_symmetriesptr->end();
++iter) {
iter->second = std::move(iter->first.simpidx_symmetry(_callerptr->_rank));
if (++cnt % CommandlineOptions::report_frequency() == 0) {
MessageStreams::verbose() << cnt << " symmetries processed so far." << std::endl;
}
}
MessageStreams::verbose() << "... done" << std::endl;
}
while (_state != State::stopped) {
MessageStreams::debug() << "worker " << _workerID
<< " processing state " << _state
<< " with " << _callerptr->_no_of_busy_threads
<< " done threads ..." << std::endl;
// wait until threre is work:
while (_state == State::idle) {
MessageStreams::debug() << "worker " << _workerID << " waiting ..." << std::endl;
// wait for new work from main thread:
std::unique_lock<std::mutex> worker_lock(_callerptr->_main_mutex);
++_callerptr->_no_of_waiting_threads;
worker_condition.wait(worker_lock, [this] { return _wake_up(); });
--_callerptr->_no_of_waiting_threads;
MessageStreams::debug() << "worker " << _workerID << " waking up ..." << std::endl;
}
// check the type of work:
if (_state == State::hired_for_find_old_symmetry_class) {
MessageStreams::debug() << "worker " << _workerID << " checking for old symmetry class ..." << std::endl;
// do the corresponding work:
find_old_symmetry_class();
_state = State::done;
}
else if (_state == State::hired_for_build_orbit_with_searchpred) {
MessageStreams::debug() << "worker " << _workerID << " building orbit ..." << std::endl;
// do the corresponding work:
build_orbit_with_searchpred();
_state = State::done;
}
// report that work is done:
if (_state == State::done) {
MessageStreams::debug() << "worker " << _workerID << " done ..." << std::endl;
std::lock_guard<std::mutex> main_lock(_callerptr->_main_mutex);
--_callerptr->_no_of_busy_threads;
MessageStreams::debug() << "notifying main thread ..." << std::endl;
if (_callerptr->_threads_done()) {
_callerptr->_main_condition.notify_one();
}
_state = State::idle;
}
}
}
// end of SymmetryWorker methods.
// auxiliary functions only for this module:
TriangNode SymmetricFlipGraph::_map(const std::pair<Symmetry, Symmetry>& sympair,
const TriangNode& tnode) const {
if (sympair.second.n() == 0) {
// we have not built the simplex-index representation of the symmetry group
// (usually because of memory consumption), thus, we have to use the
// TOPCOM's slower legacy method:
return sympair.first.map(tnode);
}
else {
return _map_via_indexset(sympair.second, tnode);
}
}
void SymmetricFlipGraph::_map_into(std::pair<Symmetry, Symmetry>& sympair,
const TriangNode& tnode,
TriangNode& result) const {
if (sympair.second.n() == 0) {
result.clear();
sympair.first.map_into(tnode, result);
}
else {
_map_into_via_indexset(sympair.second, tnode, result);
}
}
TriangNode SymmetricFlipGraph::_map_via_indexset(const Symmetry& g_simpidx,
const TriangNode& tnode) const {
TriangNode result(tnode.ID(), tnode.no(), tnode.rank(), SimplicialComplex());
result.replace_indexset(std::move(g_simpidx.map(tnode.index_set_pure())));
return result;
}
void SymmetricFlipGraph::_map_into_via_indexset(const Symmetry& g_simpidx,
const TriangNode& tnode,
TriangNode& result) const {
const SimplicialComplex::IndexSet& tnode_indexset = tnode.index_set_pure();
result.replace_indexset(std::move(g_simpidx.map(tnode_indexset)));
}
symmetryptr_datapair SymmetricFlipGraph::_stabilizer_ptrs(const TriangNode& tnode,
const Vector& gkz) const {
if (_simpidx_symmetries.empty()) {
return symmetryptr_datapair();
}
else {
if (_simpidx_symmetries.begin()->second.n() > 0) {
return _stabilizer_ptrs_via_indexset(tnode, gkz);
}
else {
if (_voltableptr && CommandlineOptions::use_gkz()) {
// in this case, we have a fingerprint:
return _symmetriesptr->stabilizer_ptrs(tnode, gkz);
}
else {
return _symmetriesptr->stabilizer_ptrs(tnode);
}
}
}
}
symmetryptr_datapair SymmetricFlipGraph::_stabilizer_ptrs_via_indexset(const TriangNode& tnode,
const Vector& gkz) const {
symmetryptr_datapair result;
for (simpidx_symmetries_type::const_iterator iter = _simpidx_symmetries.begin();
iter != _simpidx_symmetries.end();
++iter) {
if (_voltableptr && CommandlineOptions::use_gkz()) {
if (!iter->first.fixes(gkz)) {
continue;
}
}
if (iter->second.fixes(tnode.index_set_pure())) {
result.first.push_back(&iter->first);
result.second.insert(&iter->first);
}
}
return result;
}
Vector SymmetricFlipGraph::_gkz(const TriangNode& tnode) const {
Vector result(_no);
if (!_voltableptr) {
MessageStreams::forced() << "SymmetricFlipGraph::_gkz(const TriangNode&: "
<< "no volumes available for the computation of GKZ vectors - exiting" << std::endl;
exit(1);
}
for (SimplicialComplex::const_iterator sciter = tnode.begin();
sciter != tnode.end();
++sciter) {
Field simpvol = _voltableptr->find(*sciter)->second;
for (Simplex::const_iterator simpiter = sciter->begin();
simpiter != sciter->end();
++simpiter) {
result[*simpiter] += simpvol;
}
}
return result;
}
bool SymmetricFlipGraph::_threads_done() const {
return (_no_of_busy_threads == 0);
}
int SymmetricFlipGraph::_old_symmetry_class(const TriangNode& tnode,
const Vector& gkz) {
static const bool local_debug = false;
// return values are:
// 0: tnode represents a new symmetry class
// -1: tnode is contained in previous triangulations
// -2: tnode is contained in new triangulations
// +1: an element of the orbit of tnode is in previous triangulations
// +2: an element of the orbit of tnode is in new triangulations
// updated data:
// _representative: the element in the orbit of tnode that is in previous/new triangulations
// _find_iter: an iterator in previous/new triangulations pointing to _representative
// _transformation: a symmetry mapping tnode to _representative
// _orbitsize: the size of the orbit of tnode
// _rep_has_search_pred: whether or not tnode satisfies the search predicate
// the case of non-simple BFS:
// handle the identity individually:
if ((_find_iter = _previous_triangs.find(tnode)) != _previous_triangs.end()) {
_location_of_old_symmetry_class = 0;
_orbitsize = 0;
return -1;
}
if ((_find_iter = _new_triangs.find(tnode)) != _new_triangs.end()) {
_location_of_old_symmetry_class = 0;
_orbitsize = 0;
return -2;
}
// if (false) {
if (CommandlineOptions::parallel_symmetries()) {
// multi-threaded version of non-simple BFS:
// _threads.clear();
SimplicialComplex::start_multithreading();
// replaced the old generation of new threads by waiting threads:
MessageStreams::debug() << "starting parallel symmetry check with "
<< _no_of_waiting_threads << " waiting threads and "
<< _no_of_busy_threads << " done threads ..." << std::endl;
{
std::lock_guard<std::mutex> main_lock(_main_mutex);
_location_of_old_symmetry_class = 0;
_no_of_busy_threads = 0;
}
for (int i = 0; i < _no_of_threads; ++i) {
MessageStreams::debug() << "main hiring and notifying worker " << i << " for symmetry check ..." << std::endl;
_symmetry_workers[i].pass_work_for_find_old_symmetry_class(tnode, gkz);
_symmetry_workers[i].worker_condition.notify_one();
std::lock_guard<std::mutex> main_lock(_main_mutex);
++_no_of_busy_threads;
}
while (!_threads_done()) {
MessageStreams::debug() << "main waiting for symmetry checks ..." << std::endl;
// wait for threads to finish work:
std::unique_lock<std::mutex> main_lock(_main_mutex);
_main_condition.wait(main_lock, [this] { return _threads_done(); });
MessageStreams::debug() << "... main waking up" << std::endl;
}
MessageStreams::debug() << "... completed parallel symmetry check" << std::endl;
SimplicialComplex::stop_multithreading();
MessageStreams::debug() << "... done" << std::endl;
if (_location_of_old_symmetry_class != 0) {
_orbit.clear();
_orbitsize = 0;
return _location_of_old_symmetry_class;
}
}
else {
// single-threaded version of non-simple BFS:
// first check whether we already found an equivalent triangluation:
for (simpidx_symmetries_type::iterator iter = _simpidx_symmetries.begin();
iter != _simpidx_symmetries.end();
++iter) {
std::pair<Symmetry, Symmetry>& g_pair(*iter);
// bool gkz_result;
if (CommandlineOptions::use_gkz() && _voltableptr) {
// first check is by the GKZ vector:
g_pair.first.map_into(gkz, _equivalent_gkz);
if (_known_gkzs.find(_equivalent_gkz) == _known_gkzs.end()) {
// GKZ is new, thus, tnode is new:
continue;
// gkz_result = false;
}
else {
// gkz_result = true;
}
}
// if not, further investigations are necessary in case also non-regular
// triangulations are traversed:
// map tnode by mapping its index set by means of the alternative representation
// of the symmetry; this way, not all simplices in tnode have to be mapped
// individually:
_map_into(g_pair, tnode, _representative);
// the old direct method is deprecated:
// _representative = g_elem.map(tnode);
if ((_find_iter = _previous_triangs.find(_representative)) != _previous_triangs.end()) {
_transformation = g_pair.first;
_orbit.clear();
_orbitsize = 0;
return 1;
}
if ((_find_iter = _new_triangs.find(_representative)) != _new_triangs.end()) {
_transformation = g_pair.first;
_orbit.clear();
_orbitsize = 0;
return 2;
}
}
}
bool have_node_symmetryptrs = false;
// now check the search predicate, e.g., regularity, for the
// discovered representative tnode of the new symmetry class:
if (_predicates_checker.check_search_predicates(*_pointsptr, *_chiroptr, *_inctableptr, tnode)) {
// tnode has all search predicates:
_rep_has_search_pred = true;
_orbit.insert(tnode);
if (_predicates_checker.check_output_predicates(*_pointsptr, *_chiroptr, *_inctableptr, tnode)) {
_triang_outputter.print_triang(MessageStreams::result(), _symcount, tnode);
}
// compute stabilizer, if possible using the index set representation:
_node_symmetryptrs = _stabilizer_ptrs(tnode, gkz);
have_node_symmetryptrs = true;
if (CommandlineOptions::skip_orbitcount()) {
_orbitsize = _orbit.size();
_orbit.clear();
return 0;
}
if (_predicates_checker.all_search_predicates_invariant()
&& _predicates_checker.all_output_predicates_invariant()) {
// stabilizer formula:
_orbitsize = (_symmetriesptr->size() + 1) / (_node_symmetryptrs.first.size() + 1);
_orbit.clear();
return 0;
}
}
else {
_rep_has_search_pred = false;
if (_predicates_checker.all_search_predicates_invariant()) {
// tnode's complete orbit does not have search predicate
_orbitsize = 0;
return 0; // what we return does not matter anymore because _orbitsize is zero
}
}
// compute stabilizer, if possible via index sets, if not yet done:
if (!have_node_symmetryptrs) {
_node_symmetryptrs = _stabilizer_ptrs(tnode, gkz);
}
if (CommandlineOptions::parallel_symmetries()) {
// multi-threaded version of non-simple orbit-building:
SimplicialComplex::start_multithreading();
// replaced the old generation of new threads by waiting threads:
MessageStreams::debug() << "starting parallel orbit building with "
<< _no_of_waiting_threads << " waiting threads and "
<< _no_of_busy_threads << " done threads ..." << std::endl;
{
std::lock_guard<std::mutex> main_lock(_main_mutex);
_no_of_busy_threads = 0;
for (int i = 0; i < _no_of_threads; ++i) {
_worker_orbits[i].clear();
}
}
for (int i = 0; i < _no_of_threads; ++i) {
MessageStreams::debug() << "main hiring and notifying worker " << i << " for orbit building ..." << std::endl;
_symmetry_workers[i].pass_work_for_build_orbit_with_searchpred(tnode);
_symmetry_workers[i].worker_condition.notify_one();
std::lock_guard<std::mutex> main_lock(_main_mutex);
++_no_of_busy_threads;
}
while (!_threads_done()) {
MessageStreams::debug() << "main waiting for orbit building ..." << std::endl;
// wait for threads to finish work:
std::unique_lock<std::mutex> main_lock(_main_mutex);
_main_condition.wait(main_lock, [this] { return _threads_done(); });
MessageStreams::debug() << "... main waking up" << std::endl;
}
MessageStreams::debug() << "... completed parallel orbit building" << std::endl;
MessageStreams::debug() << "... done" << std::endl;
SimplicialComplex::stop_multithreading();
// collect the results:
for (int i = 0; i < _no_of_threads; ++i) {
MessageStreams::debug() << "... main collecting results from worker " << i << " ..." << std::endl;
for (orbit_type::iterator iter = _worker_orbits[i].begin();
iter != _worker_orbits[i].end();
++iter) {
_orbit.insert(std::move(*iter));
}
}
_orbitsize = _orbit.size();
_orbit.clear();
MessageStreams::debug() << "workers final result on _orbitsize = " << _orbitsize << std::endl;
}
else {
// single-threaded version of non-simple orbit-building:
// next, we need to check the orbit of tnode for the search predicate (e.g., regularity):
for (simpidx_symmetries_type::const_iterator iter = _simpidx_symmetries.begin();
iter != _simpidx_symmetries.end();
++iter) {
const std::pair<Symmetry, Symmetry>& g_pair(*iter);
// const Symmetry& g_elem(iter->first);
// const Symmetry& g_simpidx(iter->second);
if (_node_symmetryptrs.second.find(&g_pair.first) != _node_symmetryptrs.second.end()) {
// g is in stabilizer of tnode - nothing new:
continue;
}
// map via index set:
_representative = std::move(_map(g_pair, tnode));
// deprecated:
// _representative = g_elem.map(tnode);
// check whether we already have that image of tnode in the orbit:
if (_orbit.find(_representative) == _orbit.end()) {
// if not, check the search predicate (e.g., regularity):
if (_predicates_checker.check_search_predicates(*_pointsptr, *_chiroptr, *_inctableptr, _representative)
&& _predicates_checker.check_output_predicates(*_pointsptr, *_chiroptr, *_inctableptr, _representative)) {
_orbit.insert(_representative);
_triang_outputter.print_triang(MessageStreams::result(), _symcount, _representative, _orbit.size() - 1);
}
}
}
_orbitsize = _orbit.size();
_orbit.clear();
}
return 0;
}
void SymmetricFlipGraph::_mark_equivalent_flips(const TriangNode& tnode,
const tnode_container_type::iterator find_iter,
const FlipRep& fliprep) {
#ifdef CHECK_MARK
MessageStreams::debug() << "flip before marking:" << std::endl;
MessageStreams::debug() << find_iter->key() << "->" << find_iter->data() << std::endl;
#endif
// mark this flip:
#ifdef TOPCOM_CONTAINERS
find_iter->dataptr()->mark_flip(fliprep);
#else
find_iter->second.mark_flip(fliprep);
#endif
// mark all equivalent flips:
for (symmetryptr_iterdata::const_iterator iter = _node_symmetryptrs.first.begin();
iter != _node_symmetryptrs.first.end();
++iter) {
const Symmetry& g = **iter;
#ifdef TOPCOM_CONTAINERS
find_iter->dataptr()->mark_flip(g.map(fliprep));
#else
find_iter->second.mark_flip(g.map(fliprep));
#endif
}
#ifdef CHECK_MARK
MessageStreams::debug() << "flip after marking:" << std::endl;
MessageStreams::debug() << find_iter->key() << "->" << find_iter->data() << std::endl;
#endif
}
void SymmetricFlipGraph::_mark_equivalent_flips(const TriangNode& tnode,
TriangFlips& tflips,
const FlipRep& fliprep) {
#ifdef CHECK_MARK
MessageStreams::debug() << "flips before marking:" << std::endl;
MessageStreams::debug() << tflips << std::endl;
#endif
// mark this flip:
tflips.mark_flip(fliprep);
// mark all equivalent flips:
for (symmetryptr_iterdata::const_iterator iter = _node_symmetryptrs.first.begin();
iter != _node_symmetryptrs.first.end();
++iter) {
const Symmetry& g(**iter);
tflips.mark_flip(g.map(fliprep));
}
#ifdef CHECK_MARK
std::cerrMessageStreams::debug() << "flips after marking:" << std::endl;
MessageStreams::debug() << tflips << std::endl;
#endif
}
void SymmetricFlipGraph::_process_newtriang(const TriangNode& current_triang,
const TriangFlips& current_flips,
const TriangNode& next_triang,
const FlipRep& current_fliprep) {
if (CommandlineOptions::use_gkz() && _voltableptr) {
_new_gkz = std::move(_gkz(next_triang));
}
const int where(_old_symmetry_class(next_triang, _new_gkz));
if (where < 0) {
// next_triang was found before: mark all equivalent flips in next_triang:
const FlipRep& inversefliprep(current_fliprep.inverse());
stabilizer_container_type::const_iterator stabiter = _stabilizers.find(next_triang);
if (stabiter != _stabilizers.end()) {
_node_symmetryptrs = stabiter->second;
}
else {
_node_symmetryptrs = _stabilizer_ptrs(next_triang, _new_gkz);
}
_mark_equivalent_flips(next_triang, _find_iter, inversefliprep);
// output flip to found triangulation pointed to by _find_iter:
#ifdef TOPCOM_CONTAINERS
size_type next_ID(_find_iter->key().ID());
#else
size_type next_ID(_find_iter->first.ID());
#endif
_flip_outputter.print_flipedge(MessageStreams::result(),
_flipcount,
current_fliprep,
current_triang.ID(),
next_ID,
"to known triang");
++_flipcount;
return;
}
if (where > 0) {
// a triangulation equivalent to next_triang was found before: mark all equivalent flips in representative:
const FlipRep& inversefliprep(_transformation.map(current_fliprep.inverse()));
stabilizer_container_type::const_iterator stabiter = _stabilizers.find(_representative);
if (stabiter != _stabilizers.end()) {
_node_symmetryptrs = stabiter->second;
}
else {
_node_symmetryptrs = _stabilizer_ptrs(_representative, _equivalent_gkz);
}
_mark_equivalent_flips(_representative, _find_iter, inversefliprep);
return;
}
if (_orbitsize > 0) {
// we found at least one new triangulation in orbit satisfying
// the search predicate; thus we must save the representative
TriangFlips next_flips = TriangFlips(*_chiroptr,
_inctableptr,
current_triang,
current_flips,
next_triang,
Flip(current_triang, current_fliprep),
_node_symmetryptrs,
_only_fine_triangs);
_mark_equivalent_flips(next_triang, next_flips, current_fliprep.inverse());
_flip_outputter.print_flipedge(MessageStreams::result(),
_flipcount,
current_fliprep,
current_triang.ID(),
next_triang.ID(),
"to new triang");
++_flipcount;
if (_predicates_checker.check_output_predicates(*_pointsptr, *_chiroptr, *_inctableptr, next_triang)) {
++_symcount;
--_reportcount;
_totalcount += _orbitsize;
if (_reportcount == 0) {
_reportcount = CommandlineOptions::report_frequency();
MessageStreams::verbose() << _symcount << " symmetry classes";
if (!CommandlineOptions::skip_orbitcount()) {
MessageStreams::verbose() << " | " << _totalcount << " total triangulations";
}
MessageStreams::verbose() << " --- " << _previous_triangs.size() + _new_triangs.size()
<< " currently stored." << std::endl;
}
}
#ifdef CHECK_NEW
MessageStreams::forced() << "Checking whether " << next_triang << " is new:" << std::endl;
MessageStreams::forced() << "\t _all_triangs: " << std::endl;
MessageStreams::forced() << "\t " << _all_triangs << std::endl;
MessageStreams::forced() << "\t current new triangs:" << std::endl;
MessageStreams::forced() << "\t " << _new_triangs << std::endl;
MessageStreams::forced() << "\t current previous triangs:" << std::endl;
MessageStreams::forced() << "\t " << _previous_triangs << std::endl;
if (_all_triangs.find(next_triang) != _all_triangs.end()) {
MessageStreams::forced() << "\t Error in SymmetricFlipGraph: old triangulation " << std::endl;
MessageStreams::forced() << "\t " << next_triang << std::endl;
MessageStreams::forced() << "\t is not new - exiting" << std::endl;
exit(1);
}
MessageStreams::debug() << next_triang << " is new." << std::endl;
#endif
_new_triangs.insert(std::pair<TriangNode, TriangFlips>(next_triang, next_flips));
_stabilizers.insert(std::pair<TriangNode, symmetryptr_datapair>(next_triang, _node_symmetryptrs));
if (CommandlineOptions::use_gkz() && _voltableptr) {
_known_gkzs.insert(_new_gkz);
}
}
}
void SymmetricFlipGraph::_process_flips(const TriangNode& current_triang,
const TriangFlips& current_flips) {
#ifdef SUPER_VERBOSE
MessageStreams::debug() << "current_triang" << std::endl;
MessageStreams::debug() << current_triang << std::endl;
MessageStreams::debug() << "current_flips" << std::endl;
MessageStreams::debug() << current_flips << std::endl;
#endif
for (MarkedFlips::const_iterator iter = current_flips.flips().begin();
iter !=current_flips.flips().end();
++iter) {
if ((*iter).second) {
continue;
}
#ifdef SUPER_VERBOSE
#ifdef TOPCOM_FLIPS
MessageStreams::debug() << "flipping flip " << iter->key()
<< " = " << Flip(current_triang, iter->key()) << std::endl;
#else
MessageStreams::debug() << "flipping flip " << iter->first
<< " = " << Flip(current_triang, iter->first) << std::endl;
#endif
#endif
#ifdef TOPCOM_FLIPS
const FlipRep current_fliprep(iter->key());
#else
const FlipRep current_fliprep(iter->first);
#endif
const Flip flip(current_triang, current_fliprep);
const TriangNode next_triang(_symcount, current_triang, flip);
_process_newtriang(current_triang, current_flips, next_triang, current_fliprep);
}
}
void SymmetricFlipGraph::_bfs_step() {
// go through all triangulations found so far:
while (!_previous_triangs.empty()) {
tnode_container_type::const_iterator iter(_previous_triangs.begin());
#ifdef TOPCOM_CONTAINERS
const TriangNode current_triang(iter->key());
#else
const TriangNode current_triang(iter->first);
#endif
#ifdef TOPCOM_CONTAINERS
const TriangFlips current_flips(iter->data());
#else
const TriangFlips current_flips(iter->second);
#endif
_process_flips(current_triang, current_flips);
_previous_triangs.erase(current_triang);
_stabilizers.erase(current_triang);
if (CommandlineOptions::use_gkz() && _voltableptr && CommandlineOptions::check_regular()) {
// we can only erase old GKZ vectors in the regular case;
// for non-regular triangulations, we need to keep all the GKZ vectors:
_known_gkzs.erase(_gkz(current_triang));
}
}
#ifdef CHECK_NEW
for (tnode_container_type::const_iterator iter = _new_triangs.begin();
iter != _new_triangs.end();
++iter) {
#ifdef TOPCOM_CONTAINERS
_all_triangs[iter->key()] = iter->data();
#else
_all_triangs[iter->first] = iter->second;
#endif
}
#endif
MessageStreams::verbose() << _new_triangs.size() << " new symmetry classes." << std::endl;
#ifdef WATCH_MAXCHAINLEN
MessageStreams::debug() << "length of maximal chain in hash table _new_triangs: "
<< _new_triangs.maxchainlen() << std::endl;
#endif
}
void SymmetricFlipGraph::_bfs() {
while (!_previous_triangs.empty()) {
_bfs_step();
#ifdef TOPCOM_CONTAINERS
tnode_container_type tmp;
_previous_triangs = _new_triangs;
_new_triangs = tmp;
if (CommandlineOptions::use_gkz() && _voltableptr) {
// gkz_container_type tmp;
// _known_gkzs = _new_gkzs;
// _new_gkzs = tmp;
}
#else
_previous_triangs.swap(_new_triangs);
// if (CommandlineOptions::use_gkz() && _voltableptr) {
// _known_gkzs.swap(_new_gkzs);
// }
#endif
// dump status if requested:
if (CommandlineOptions::dump_status()) {
if (this->_processed_count % CommandlineOptions::dump_frequency() == 0) {
std::ostringstream filename_str;
filename_str << CommandlineOptions::dump_file() << "." << _dump_no % CommandlineOptions::dump_rotations();
_dump_str.open(filename_str.str().c_str(), std::ios::out | std::ios::trunc);
MessageStreams::verbose().print_dumpseparator();
MessageStreams::verbose() << "### dump file "
<< _dump_no
<< ":\n"
<< "### "
<< filename_str.str().c_str() << std::endl;
write(_dump_str);
_dump_str.close();
// for convenience, create a symlink named by the dump file name without
// the rotating running number pointing to the latest fully saved checkpoint:
if (std::filesystem::exists(CommandlineOptions::dump_file())) {
std::filesystem::remove(CommandlineOptions::dump_file());
}
std::filesystem::create_symlink(filename_str.str().c_str(),
CommandlineOptions::dump_file());
++_dump_no;
_processed_count = 0;
MessageStreams::verbose().print_dumpseparator();
}
++_processed_count;
}
}
}
void SymmetricFlipGraph::_init_symmetry_workers() {
int thread_no(0);
for (simpidx_symmetries_type::const_iterator iter = _simpidx_symmetries.begin();
iter != _simpidx_symmetries.end();
++iter) {
// distribute all simpidx symmetries in a round-robin fashion:
// generate a copy of each symmetry by assigning to a non-constant
// temporary object for thread-safety:
const std::pair<Symmetry, Symmetry> sym(*iter);
_worker_symmetries[thread_no].push_back(sym);
thread_no = (thread_no + 1) % _no_of_threads;
}
for (int i = 0; i < _no_of_threads; ++i) {
MessageStreams::debug() << "initializing worker " << i << " with symmetries "
<< _worker_symmetries[i] << " ..." << std::endl;
_symmetry_workers.emplace_back(i, *this, _worker_symmetries[i]);
MessageStreams::debug() << "... done" << std::endl;
}
for (int i = 0; i < _no_of_threads; ++i) {
MessageStreams::verbose() << "starting thread " << i << " ..." << std::endl;
_threads.push_back(std::thread(&SymmetricFlipGraph::SymmetryWorker::operator(),
&_symmetry_workers[i]));
// for the time being, allow the worker to wait:
MessageStreams::verbose() << "... done" << std::endl;
}
}
void SymmetricFlipGraph::_init() {
if (CommandlineOptions::check_regular()
|| CommandlineOptions::check_nonregular()
|| CommandlineOptions::check_sometimes()) {
// compute boundary facets of seed:
MessageStreams::verbose() << "computing boundary triangulation from seed ..." << std::endl;
SimplicialComplex seed_boundary_triang;
for (SimplicialComplex::const_iterator seediter = _seedptr->begin();
seediter != _seedptr->end();
++seediter) {
Simplex simp = *seediter;
for (Simplex::const_iterator simpiter = simp.begin();
simpiter != simp.end();
++simpiter) {
size_type simpelm = *simpiter;
simp -= simpelm;
seed_boundary_triang ^= simp;
simp += simpelm;
}
}
MessageStreams::verbose() << "... done." << std::endl;
// use that to determine facets by beneath-beyond:
MessageStreams::verbose() << "computing facets from boundary triangulation ..." << std::endl;
Facets* facetsptr = new Facets(*_chiroptr, seed_boundary_triang);
MessageStreams::verbose() << "... done." << std::endl;
MessageStreams::verbose() << "computing incidences ..." << std::endl;
_inctableptr = new Incidences(*_chiroptr, *facetsptr);
MessageStreams::verbose() << "... done." << std::endl;
delete facetsptr;
}
// for non-parallel symmetry processing we generate the simpidx symmetries here:
MessageStreams::verbose() << "preparing simpidx symmetry pairs";
if (CommandlineOptions::simpidx_symmetries() && !CommandlineOptions::parallel_symmetries()) {
MessageStreams::verbose() << " with preprocessed simpidx symmetries ..." << std::endl;
}
else {
MessageStreams::verbose() << " with empty simpidx symmetries ..." << std::endl;
}
size_type cnt = 0;
_simpidx_symmetries.reserve(_symmetriesptr->size());
for (SymmetryGroup::const_iterator iter = _symmetriesptr->begin();
iter != _symmetriesptr->end();
++iter) {
if (CommandlineOptions::simpidx_symmetries() && !CommandlineOptions::parallel_symmetries()) {
_simpidx_symmetries.emplace_back(*iter, iter->simpidx_symmetry(_rank));
}
else {
_simpidx_symmetries.emplace_back(*iter, Symmetry(0));
}
if (++cnt % CommandlineOptions::report_frequency() == 0) {
MessageStreams::verbose() << cnt << " symmetries processed so far." << std::endl;
}
}
MessageStreams::verbose() << "... done" << std::endl;
if (CommandlineOptions::parallel_symmetries()) {
_init_symmetry_workers();
}
LabelSet seed_support(_seedptr->support());
if (_print_triangs) {
if (CommandlineOptions::debug()) {
_triang_outputter.activate_debug();
}
else {
_triang_outputter.activate();
}
}
if (CommandlineOptions::output_flips()) {
if (CommandlineOptions::debug()) {
_flip_outputter.activate_debug();
}
else {
_flip_outputter.activate();
}
}
// collect the additional checks on output triangulations (exploration continues also at infeasible nodes):
if (CommandlineOptions::max_no_of_simplices() > 0) {
_predicates_checker.add_output_predicate(new PredicatesChecker::output_checkmaxno_type());
}
if (CommandlineOptions::require_point()) {
_predicates_checker.add_output_predicate(new PredicatesChecker::output_checkpoint_type(CommandlineOptions::required_point()));
}
if (CommandlineOptions::observe_required_symmetries()) {
_predicates_checker.add_output_predicate(new PredicatesChecker::output_checksymmetries_type(_required_symmetriesptr));
}
if (CommandlineOptions::no_of_simplices() > 0) {
_predicates_checker.add_output_predicate(new PredicatesChecker::output_checkno_type());
}
if (CommandlineOptions::check_nonregular()) {
_predicates_checker.add_output_predicate(new PredicatesChecker::output_checknonregularity_type());
}
if (CommandlineOptions::check_unimodular()) {
_predicates_checker.add_output_predicate(new PredicatesChecker::output_checkunimodularity_type(*_pointsptr, *_chiroptr));
}
// collect the additional checks on seaerched triangulations (exploration stops at infeasible nodes):
if (CommandlineOptions::check_regular()) {
_predicates_checker.add_search_predicate(new PredicatesChecker::search_checkreg_type());
}
if (CommandlineOptions::dont_add_points()) {
_predicates_checker.add_search_predicate(new PredicatesChecker::search_seedsupportonly_type(seed_support));
}
if (CommandlineOptions::check_sometimes()) {
_predicates_checker.add_search_predicate(new PredicatesChecker::search_checksometimes_type());
}
if (CommandlineOptions::reduce_points()) {
_predicates_checker.add_search_predicate(new PredicatesChecker::search_min_no_of_verts_type(seed_support.card()));
}
if (CommandlineOptions::read_status()) {
std::ifstream read_str(CommandlineOptions::read_file());
read(read_str);
MessageStreams::verbose() << "SymmetricFlipGraph initialized from file " << CommandlineOptions::read_file() << std::endl;
MessageStreams::debug() << "data:"
<< std::endl
<< *this
<< std::endl;
}
else {
const TriangNode current_triang = TriangNode(_symcount, _no, _rank, *_seedptr);
if (CommandlineOptions::use_gkz() && _voltableptr) {
_current_gkz = std::move(_gkz(current_triang));
}
_old_symmetry_class(current_triang, _current_gkz);
if (_orbitsize > 0) {
if (_predicates_checker.check_output_predicates(*_pointsptr, *_chiroptr, *_inctableptr, current_triang)) {
_totalcount += _orbitsize;
++_symcount;
--_reportcount;
}
const TriangFlips current_flips = TriangFlips(*_chiroptr,
_inctableptr,
current_triang,
_node_symmetryptrs,
_only_fine_triangs);
_previous_triangs.insert(std::pair<TriangNode, TriangFlips>(current_triang, current_flips));
#ifdef CHECK_NEW
_all_triangs.insert(std::pair<TriangNode, TriangFlips>(current_triang, current_flips));
#endif
_stabilizers.insert(std::pair<TriangNode, symmetryptr_datapair>(current_triang, _node_symmetryptrs));
if (CommandlineOptions::use_gkz() && _voltableptr) {
_known_gkzs.insert(_current_gkz);
}
}
}
_bfs();
}
// stream input:
std::istream& SymmetricFlipGraph::read(std::istream& ist) {
std::string dump_line;
while ((std::getline(ist, dump_line))) {
std::string::size_type lastPos = dump_line.find_first_not_of(" ", 0);
std::string::size_type pos = dump_line.find_first_of(" ", lastPos);
std::string keyword = dump_line.substr(lastPos, pos - lastPos);
// first, some data is parsed that makes sure that the dumped computational results were
// obtained with the "right" data:
if (keyword == "_no") {
lastPos = dump_line.find_first_not_of(" ", pos);
std::string value = dump_line.substr(lastPos, dump_line.length());
std::istringstream istrst (value, std::ios::in);
parameter_type no_check;
if (!(istrst >> no_check)) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): error while reading _no; exiting" << std::endl;
exit(1);
}
if (_no != no_check) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): no of points in input differs from no of points in dump file; exiting" << std::endl;
exit(1);
}
MessageStreams::forced() << "no of points in input coincides with no of points in dump file: okay" << std::endl;
}
if (keyword == "_rank") {
lastPos = dump_line.find_first_not_of(" ", pos);
std::string value = dump_line.substr(lastPos, dump_line.length());
std::istringstream istrst (value, std::ios::in);
parameter_type rank_check;
if (!(istrst >> rank_check)) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): error while reading _rank; exiting" << std::endl;
exit(1);
}
if (_rank != rank_check) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): rank of input differs from rank in dump file; exiting" << std::endl;
exit(1);
}
MessageStreams::forced() << "rank of input coincides with rank of dump file: okay" << std::endl;
}
if (_pointsptr) {
if (keyword == "_points") {
lastPos = dump_line.find_first_not_of(" ", pos);
std::string value = dump_line.substr(lastPos, dump_line.length());
std::istringstream istrst (value, std::ios::in);
PointConfiguration points_check;
if (!(istrst >> points_check)) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): error while reading _points; exiting" << std::endl;
exit(1);
}
if (*_pointsptr!= points_check) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): points of input differ from points in dump file; exiting" << std::endl;
exit(1);
}
MessageStreams::forced() << "points of input coincide with points in dump file: okay" << std::endl;
}
}
if (_chiroptr) {
if (keyword == "_chiro") {
lastPos = dump_line.find_first_not_of(" ", pos);
std::string value = dump_line.substr(lastPos, dump_line.length());
std::istringstream istrst (value, std::ios::in);
Chirotope chiro_check(*_pointsptr, false);
if (!(istrst >> chiro_check)) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): error while reading _chiro; exiting" << std::endl;
exit(1);
}
if ((*_chiroptr) != chiro_check) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): chirotope of input differs from chirotope in dump file; exiting" << std::endl;
exit(1);
}
MessageStreams::debug() << "chirotope of input coincides with chirotope of dump file: okay" << std::endl;
}
}
if (keyword == "_symmetries") {
lastPos = dump_line.find_first_not_of(" ", pos);
std::string value = dump_line.substr(lastPos, dump_line.length());
std::istringstream istrst (value, std::ios::in);
SymmetryGroup symmetries_check(_no);
if (!(istrst >> symmetries_check)) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): error while reading _symmetries; exiting" << std::endl;
exit(1);
}
if (*_symmetriesptr != symmetries_check) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): symmetries of input differ from symmetries in dump file; exiting" << std::endl;
exit(1);
}
MessageStreams::debug() << "symmetries of input coincide with _symmetries in dump file: okay" << std::endl;
}
// finally, parse the partial computational result from the dump file:
if (keyword == "_previous_triangs") {
lastPos = dump_line.find_first_not_of(" ", pos);
std::string value = dump_line.substr(lastPos, dump_line.length());
std::istringstream istrst (value, std::ios::in);
if (!(istrst >> _previous_triangs)) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): error while reading _previous_triangs; exiting" << std::endl;
exit(1);
}
MessageStreams::debug() << "_previous_triangs initialized with " << _previous_triangs << std::endl;
}
if (keyword == "_new_triangs") {
lastPos = dump_line.find_first_not_of(" ", pos);
std::string value = dump_line.substr(lastPos, dump_line.length());
std::istringstream istrst (value, std::ios::in);
if (!(istrst >> _new_triangs)) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): error while reading _new_triangs; exiting" << std::endl;
exit(1);
}
MessageStreams::debug() << "_new_triangs initialized with " << _new_triangs << std::endl;
}
if (keyword == "_totalcount") {
lastPos = dump_line.find_first_not_of(" ", pos);
std::string value = dump_line.substr(lastPos, dump_line.length());
std::istringstream istrst (value, std::ios::in);
if (!(istrst >> _totalcount)) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): error while reading _totalcount; exiting" << std::endl;
exit(1);
}
MessageStreams::debug() << "_totalcount initialized with " << _totalcount << std::endl;
}
if (keyword == "_symcount") {
lastPos = dump_line.find_first_not_of(" ", pos);
std::string value = dump_line.substr(lastPos, dump_line.length());
std::istringstream istrst (value, std::ios::in);
if (!(istrst >> _symcount)) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): error while reading _symcount; exiting" << std::endl;
exit(1);
}
MessageStreams::debug() << "_symcount initialized with " << _symcount << std::endl;
}
if (keyword == "_reportcount") {
lastPos = dump_line.find_first_not_of(" ", pos);
std::string value = dump_line.substr(lastPos, dump_line.length());
std::istringstream istrst (value, std::ios::in);
if (!(istrst >> _reportcount)) {
MessageStreams::forced() << "SymmetricFlipGraph::read(std::istream& ist): error while reading _reportcount; exiting" << std::endl;
exit(1);
}
MessageStreams::debug() << "_reportcount initialized with " << _reportcount << std::endl;
}
}
return ist;
}
}; // namespace topcom
// eof SymmetricFlipGraph.cc
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