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////////////////////////////////////////////////////////////////////////////////
//
// VirtualChiro.hh
//
// produced: 19 Nov 1999 jr
//
////////////////////////////////////////////////////////////////////////////////
#ifndef VIRTUALCHIRO_HH
#define VIRTUALCHIRO_HH
#include <assert.h>
#include <iostream>
#include <queue>
#include <mutex>
#ifdef USE_SPARSEINTSET
#include "SparseIntegerSet.hh"
#else
#include "LabelSet.hh"
#endif
#include "HashMap.hh"
#include "CommandlineOptions.hh"
#include "StairCaseMatrix.hh"
#include "PointConfiguration.hh"
#include "Permutation.hh"
#include "RealChiro.hh"
namespace topcom {
class VirtualChiro {
const PointConfiguration* _pointsptr;
mutable RealChiro _chiro;
mutable bool _complete;
mutable std::mutex _mutex;
mutable std::queue<basis_type> _known_bases;
public:
// constructors:
inline VirtualChiro();
inline VirtualChiro(const VirtualChiro&);
inline VirtualChiro(const PointConfiguration&, const bool = true);
// destructor:
inline ~VirtualChiro();
// assignment:
inline VirtualChiro& operator=(const VirtualChiro& chiro) {
if (this == &chiro) {
return *this;
}
_pointsptr = chiro._pointsptr;
_chiro = chiro._chiro;
_complete = chiro._complete;
return *this;
}
// complete chiro:
inline void complete() const {
if (!_complete) {
_chiro = RealChiro(*_pointsptr);
_complete = true;
}
}
// accessors:
inline parameter_type no() const { return _chiro.no(); }
inline parameter_type rank() const { return _chiro.rank(); };
inline Field det(const basis_type& basis) const;
inline Field det(const Permutation& basisperm) const;
// operators:
inline const bool operator==(const VirtualChiro& chiro) const;
inline const bool operator!=(const VirtualChiro& chiro) const;
inline const int operator()(const basis_type& basis) const;
inline const int operator()(const Permutation& perm) const;
// find the sign of prebasis and the lexicographic extension
// corresponding to the permutation perm (all signs positive):
const int operator()(const basis_type& prebasis,
const Permutation& perm) const;
inline const int operator()(const Permutation& prebasis_perm,
const Permutation& perm) const {
assert(prebasis_perm.n() == no());
assert(prebasis_perm.k() == rank());
const basis_type basis(prebasis_perm);
return perm.sign() * (*this)(basis, perm);
}
inline const int operator[](const basis_type& basis) const {
return (*this)(basis);
}
inline const int operator[](const Permutation& perm) const {
return (*this)(perm);
}
// functions:
const basis_type find_non_deg_basis() const;
inline VirtualChiro dual() const {
VirtualChiro result;
complete();
result._chiro = _chiro.dual();
result._complete = true;
return result;
};
// stream output/input:
inline Message& print_string(Message& msg) const {
complete();
return _chiro.print_string(msg);
}
inline Message& print_dualstring(Message& msg) const {
complete();
return _chiro.print_dualstring(msg);
}
inline std::istream& read_string(std::istream& ist) {
_complete = true;
return _chiro.read_string(ist);
}
// stream output/input:
inline friend std::ostream& operator<<(std::ostream& ost, const VirtualChiro& chiro) {
chiro.complete();
return (ost << chiro._chiro);
}
inline friend std::istream& operator>>(std::istream& ist, VirtualChiro& chiro) {
chiro._complete = true;
return (ist >> chiro._chiro);
}
const bool _recursive_find_non_deg_basis(const StairCaseMatrix& current,
const basis_type& basis,
const parameter_type start,
const parameter_type step,
basis_type& result) const;
};
inline const int VirtualChiro::operator()(const basis_type& basis) const {
if (_complete) {
return _chiro(basis);
}
bool basis_known = false;
#ifdef TOPCOM_CHIROTOPE
{
std::lock_guard<std::mutex> lock(_mutex);
basis_known = _chiro.member(basis);
if (basis_known) {
return _chiro(basis);
}
}
#else
{
std::lock_guard<std::mutex> lock(_mutex);
chirotope_data::const_iterator finder = _chiro.find(basis);
if (finder != _chiro.end()) {
return finder->second.first;
}
}
#endif
#ifdef INDEX_CHECK
assert(_pointsptr != 0);
MessageStreams::debug() << message::lock
<< "computing new chirotope value ..." << std::endl
<< message::unlock;
#endif
StairCaseMatrix basis_matrix;
for (basis_type::const_iterator iter = basis.begin();
iter != basis.end();
++iter) {
basis_matrix.augment((*_pointsptr)[*iter]);
}
const Field result_det = basis_matrix.det();
const int result_sign(sign(result_det));
if (CommandlineOptions::memopt()) {
if (CommandlineOptions::chirocache() > 0) {
std::lock_guard<std::mutex> lock(_mutex);
if (CommandlineOptions::chirocache() < _chiro.size() + 1) {
_chiro.erase(_known_bases.front()); // FIFO caching
_known_bases.pop();
}
_chiro[basis] = std::pair<int, Field>(result_sign, result_det);
_known_bases.push(basis);
}
}
else {
std::lock_guard<std::mutex> lock(_mutex);
_chiro[basis] = std::pair<int, Field>(result_sign, result_det);
}
#ifdef INDEX_CHECK
MessageStreams::debug() << message::lock
<< "... done: " << result << std::endl
<< message::unlock;
#endif
return result_sign;
}
inline const int VirtualChiro::operator()(const Permutation& perm) const {
assert(perm.n() == no());
assert(perm.k() == rank());
const basis_type basis(perm);
return perm.sign() * (*this)(basis);
}
inline Field VirtualChiro::det(const basis_type& basis) const {
if (_complete && _chiro.has_dets()) {
return _chiro.det(basis);
}
bool basis_known = false;
#ifdef TOPCOM_CHIROTOPE
{
std::lock_guard<std::mutex> lock(_mutex);
basis_known = _chiro.member(basis);
if (basis_known) {
return _chiro.det(basis);
}
}
#else
{
std::lock_guard<std::mutex> lock(_mutex);
chirotope_data::const_iterator finder = _chiro.find(basis);
if (finder != _chiro.end()) {
return finder->second.second;
}
}
#endif
#ifdef INDEX_CHECK
assert(_pointsptr != 0);
MessageStreams::debug() << message::lock
<< "computing new chirotope value ..." << std::endl
<< message::unlock;
#endif
StairCaseMatrix basis_matrix;
for (basis_type::const_iterator iter = basis.begin();
iter != basis.end();
++iter) {
basis_matrix.augment((*_pointsptr)[*iter]);
}
const Field result_det = basis_matrix.det();
const int result_sign(sign(result_det));
if (CommandlineOptions::memopt()) {
if (CommandlineOptions::chirocache() > 0) {
std::lock_guard<std::mutex> lock(_mutex);
if (CommandlineOptions::chirocache() < _chiro.size() + 1) {
_chiro.erase(_known_bases.front()); // FIFO caching
_known_bases.pop();
}
_chiro[basis] = std::pair<int, Field>(result_sign, result_det);
_known_bases.push(basis);
}
}
else {
std::lock_guard<std::mutex> lock(_mutex);
_chiro[basis] = std::pair<int, Field>(result_sign, result_det);
}
#ifdef INDEX_CHECK
MessageStreams::debug() << message::lock
<< "... done: " << result << std::endl
<< message::unlock;
#endif
return result_det;
}
inline Field VirtualChiro::det(const Permutation& basisperm) const {
if (_complete && _chiro.has_dets()) {
return _chiro.det(basisperm);
}
int permsign = basisperm.sign();
if (permsign > 0) {
return det(basis_type(basisperm));
}
else {
return -det(basis_type(basisperm));
}
}
inline const bool VirtualChiro::operator==(const VirtualChiro& chiro) const {
if (this->_pointsptr && chiro._pointsptr) {
// if we have actual points, we can compare those:
return (*(this->_pointsptr) == *(chiro._pointsptr));
}
else {
// otherwise the chirotope must be stored completely in _chiro,
// and we can compare that structure:
return (this->_chiro == chiro._chiro);
}
}
inline const bool VirtualChiro::operator!=(const VirtualChiro& chiro) const {
return !operator==(chiro);
}
inline VirtualChiro::VirtualChiro() :
_pointsptr(0), _chiro(), _complete(false) {}
inline VirtualChiro::VirtualChiro(const VirtualChiro& chiro) :
_pointsptr(chiro._pointsptr),
_chiro(chiro._chiro) {}
inline VirtualChiro::VirtualChiro(const PointConfiguration& points,
const bool immediate) :
_pointsptr(&points),
_chiro(points.no(), points.rank(), true),
_complete(false) {
if (immediate && !CommandlineOptions::memopt()) {
MessageStreams::verbose() << message::lock
<< "preprocessing chirotope with "
<< global::binomial(_chiro.no(), _chiro.rank()) << " signs ..." << std::endl
<< message::unlock;
_chiro = RealChiro(points);
MessageStreams::verbose() << message::lock
<< "... done." << std::endl
<< message::unlock;
_complete = true;
}
}
inline VirtualChiro::~VirtualChiro() {
#ifdef CONSTRUCTOR_DEBUG
MessageStreams::debug() << message::lock
<< "VirtualChiro::~VirtualChiro(): destructor called" << std::endl
<< message::unlock;
#endif
}
}; // namespace topcom
#endif
// eof VirtualChiro.hh
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