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|
////////////////////////////////////////////////////////////////////////////////
//
// RealChiro.cc
//
// produced: 13 Mar 1998 jr
//
////////////////////////////////////////////////////////////////////////////////
#include <iostream>
#include <ctype.h>
#include <string.h>
#include <assert.h>
#include "RealChiro.hh"
namespace topcom {
const char RealChiro::start_char = '[';
const char RealChiro::end_char = ']';
const char RealChiro::delim_char = ',';
const char* RealChiro::map_chars = "->";
RealChiro::RealChiro(const PointConfiguration& points, bool preprocess) :
chirotope_data(), _no(points.coldim()), _rank(points.rowdim()) {
_recursive_chiro(PointConfiguration(), points, basis_type(), 0, 0, false);
_has_dets = true;
MessageStreams::verbose() << message::lock
<< '\n'
<< size() << " signs in total." << std::endl
<< message::unlock;
}
const int RealChiro::operator()(const basis_type& prebasis,
const Permutation& lex_extension_perm) const {
assert(lex_extension_perm.n() == no());
assert(lex_extension_perm.k() <= no());
Permutation basis_perm(no(), rank() - 1, prebasis);
basis_type basis(prebasis);
for (size_type i = 0; i < lex_extension_perm.k(); ++i) {
if (basis.contains(lex_extension_perm[i])) {
continue;
}
basis += lex_extension_perm[i];
const int basis_sign((*this)(basis));
if (basis_sign == 0) {
basis -= lex_extension_perm[i];
continue;
}
basis_perm.push_back(lex_extension_perm[i]);
int perm_sign = basis_perm.sign();
return perm_sign * basis_sign;
}
return 0;
}
// functions:
void RealChiro::erase_random() {
#ifdef TOPCOM_CHIROTOPE
chirotope_data::erase_random();
#else
chirotope_data::iterator iter = this->begin();
chirotope_data::erase(iter);
#endif
}
const basis_type RealChiro::find_non_deg_basis() const {
basis_type result;
if (_no == 0) {
return result;
}
if (_rank == 0) {
return result;
}
Permutation perm(_no, _rank);
result = basis_type(perm);
while ( ((*this)(result) == 0) && (perm.lexnext()) ) {
result = basis_type(perm);
}
assert((*this)(result) != 0);
return result;
}
RealChiro RealChiro::dual() const {
static long count;
const basis_type groundset(0, _no);
RealChiro result;
result._no = _no;
result._rank = _no - _rank;
for (const_iterator iter = begin(); iter != end(); ++iter) {
#ifdef TOPCOM_CHIROTOPE
const basis_type basis = iter->key();
const int basis_sign = iter->data().first;
#else
const basis_type basis = iter->first;
const int basis_sign = iter->second.first;
#endif
const basis_type dualbasis(groundset - basis);
Permutation perm(dualbasis);
perm.push_back(Permutation(basis));
int perm_sign = perm.sign(result._rank);
result[dualbasis] = std::pair<int, Field>(perm_sign * basis_sign, Field(perm_sign * basis_sign));
#ifdef COMPUTATIONS_DEBUG
if (perm.sign() != perm_sign) {
MessageStreams::forced() << message::lock
<< "RealChiro RealChiro::dual() const: "
<< "perm_sign error - exiting" << std::endl
<< message::unlock;
exit(1);
}
#endif
#ifdef SUPER_VERBOSE
MessageStreams::debug() << message::lock
<< perm_sign * (*this)(basis) << ','
<< message::unlock;
#endif
if (++count % CommandlineOptions::report_frequency() == 0) {
#ifdef SUPER_VERBOSE
MessageStreams::debug() << message::lock
<< std::endl
<< message::unlock;
#endif
MessageStreams::verbose() << message::lock
<< count << " signs computed so far." << std::endl
<< message::unlock;
}
}
MessageStreams::verbose() << message::lock
<< size() << " signs in total." << std::endl
<< message::unlock;
return result;
}
// stream output/input:
Message& RealChiro::print_string(Message& msg) const {
size_type count(0);
msg << _no << ',' << _rank << ':' << std::endl;
Permutation perm(_no, _rank);
do {
int chiro_on_perm = (*this)(basis_type(perm));
#ifdef SUPER_VERBOSE
MessageStreams::debug() << "chiro(" << basis_type(perm) << ") = " << chiro_on_perm << std::endl;
#endif
msg << int2sign(chiro_on_perm);
if (++count % 100 == 0) {
msg << '\n';
}
} while (perm.lexnext());
msg << std::endl;
#ifdef WATCH_MAXCHAINLEN
MessageStreams::debug() << "max chain length of hash table: " << maxchainlen() << std::endl;
#endif
return msg;
}
Message& RealChiro::print_dualstring(Message& msg) const {
static long count;
const basis_type groundset(0, _no);
msg << _no << ',' << _no - _rank << ':' << std::endl;
Permutation dualperm(_no, _no -_rank);
do {
const Permutation primalperm(groundset - basis_type(dualperm));
const basis_type basis(primalperm);
Permutation perm(dualperm);
perm.push_back(primalperm);
const int perm_sign = perm.sign(_no - _rank);
const int chiro_on_perm = perm_sign * (*this)(basis);
msg << int2sign(chiro_on_perm);
if (++count % 100 == 0) {
msg << '\n';
}
#ifdef COMPUTATIONS_DEBUG
if (perm.sign() != perm_sign) {
MessageStreams::forced() << "RealChiro RealChiro::print_dualstring() const: "
<< "perm_sign error - exiting" << std::endl;
exit(1);
}
#endif
#ifdef SUPER_VERBOSE
MessageStreams::debug() << perm_sign * (*this)(basis) << ',';
#endif
if (count % CommandlineOptions::report_frequency() == 0) {
#ifdef SUPER_VERBOSE
MessageStreams::debug() << std::endl;
#endif
MessageStreams::verbose() << count << " signs computed so far." << std::endl;
}
} while (dualperm.lexnext());
msg << std::endl;
MessageStreams::verbose() << count << " signs in total." << std::endl;
return msg;
}
std::istream& RealChiro::read_string(std::istream& ist) {
char c;
clear();
if (!(ist >> std::ws >> _no)) {
#ifdef READ_DEBUG
MessageStreams::forced() << "RealChiro::read_string(std::istream&): "
<< "number of points not found." << std::endl;
#endif
ist.clear(std::ios::failbit);
return ist;
}
if (!(ist >> std::ws >> c)) {
#ifdef READ_DEBUG
MessageStreams::forced() << "RealChiro::read_string(std::istream&): "
<< "separator not found." << std::endl;
#endif
ist.clear(std::ios::failbit);
return ist;
}
if (!(ist >> std::ws >> _rank)) {
#ifdef READ_DEBUG
MessageStreams::forced() << "RealChiro::read_string(std::istream&): "
<< "rank not found." << std::endl;
#endif
ist.clear(std::ios::failbit);
return ist;
}
if (!(ist >> std::ws >> c)) {
#ifdef READ_DEBUG
MessageStreams::forced() << "RealChiro::read_string(std::istream&): "
<< "separator not found." << std::endl;
#endif
ist.clear(std::ios::failbit);
return ist;
}
#ifdef MAXNOIS64
if (_no > block_len) {
MessageStreams::forced() << "RealChiro::read(std::istream& ist): " << std::endl
<< "Code was compiled for at most "
<< block_len << " elements, " << std::endl
<< "but the input chirotope has "
<< no() << " elements." << std::endl;
exit(1);
}
#endif
if (_rank > _no) {
#ifdef READ_DEBUG
MessageStreams::forced() << "Circuits::read_string(std::istream&): "
<< "rank must not be larger than number of points." << std::endl;
#endif
ist.clear(std::ios::failbit);
return ist;
}
Permutation perm(_no, _rank);
do {
if (ist >> c) {
const int new_val = sign2int(c);
(*this)[basis_type(perm)] = std::pair<int, Field>(new_val, Field(new_val));
}
else {
#ifdef READ_DEBUG
MessageStreams::forced() << "Circuits::read_string(std::istream&): "
<< "not enough signs." << std::endl;
#endif
ist.clear(std::ios::failbit);
return ist;
}
} while (perm.lexnext());
return ist;
}
// internal algorithms:
void RealChiro::_recursive_chiro(const StairCaseMatrix& current,
const PointConfiguration& points,
const basis_type& basis,
const parameter_type start,
const parameter_type step,
const bool already_dependent) {
static long count = 0;
if (already_dependent) {
for (parameter_type i = start; i < _no - _rank + step + 1; ++i) {
basis_type newbasis(basis);
newbasis += i;
if (step + 1 == _rank) {
const Field next_det = FieldConstants::ZERO;
(*this)[newbasis] = std::pair<int, Field>(0, FieldConstants::ZERO);
#ifdef MEGA_VERBOSE
MessageStreams::debug() << "inserting sign for basis: " << basis << std::endl;
#endif
if (++count % CommandlineOptions::report_frequency() == 0) {
#ifdef SUPER_VERBOSE
MessageStreams::debug() << std::endl;
#endif
MessageStreams::verbose() << count << " signs computed so far." << std::endl;
}
}
else {
_recursive_chiro(current, points, newbasis, i + 1, step + 1, true);
}
}
}
else {
for (parameter_type i = start; i < _no - _rank + step + 1; ++i) {
StairCaseMatrix next = current;
next.augment(points[i]);
if (CommandlineOptions::debug()) {
Matrix raw(current);
raw.augment(points[i]);
MessageStreams::debug() << "matrix with new column:" << std::endl;
raw.pretty_print(MessageStreams::debug());
}
MessageStreams::debug() << std::endl;
MessageStreams::debug() << "new staircase matrix:" << std::endl;
next.pretty_print(MessageStreams::debug());
MessageStreams::debug() << std::endl;
basis_type newbasis(basis);
newbasis += i;
if (step + 1 == _rank) {
#ifdef SUPER_VERBOSE
MessageStreams::debug() << next.det() << ',';
#endif
const Field next_det = next.det();
MessageStreams::debug() << "determinant at leaf: " << next_det << std::endl;
(*this)[newbasis] = std::pair<int, Field>(sign(next_det), next_det);
#ifdef MEGA_VERBOSE
MessageStreams::debug() << "inserting sign for basis: " << basis << std::endl;
#endif
if (++count % CommandlineOptions::report_frequency() == 0) {
#ifdef SUPER_VERBOSE
MessageStreams::debug() << std::endl;
#endif
MessageStreams::verbose() << count << " signs computed so far." << std::endl;
}
}
else {
if (next.has_no_zerocol()) {
_recursive_chiro(next, points, newbasis, i + 1, step + 1, false);
}
else {
#ifdef SUPER_VERBOSE
MessageStreams::debug() << "premature dependence found in corank " << _rank - step << std::endl;
#endif
MessageStreams::debug() << "deadend because of dependency." << std::endl;
_recursive_chiro(next, points, newbasis, i + 1, step + 1, true);
}
}
}
}
}
// stream input/output:
std::istream& RealChiro::read(std::istream& ist) {
char dash;
char arrow;
char opening_bracket;
char closing_bracket;
char comma;
basis_type basis_reader;
int int_reader;
Field field_reader;
char c;
clear();
if (!(ist >> std::ws >> _no >> std::ws >> c >> std::ws >> _rank >> std::ws >> c >> std::ws >> c)) {
MessageStreams::forced() << "std::istream& RealChiro::read(std::istream&): "
<< "`no, rank:' not found." << std::endl;
ist.clear(std::ios::failbit);
return ist;
}
if (c == start_char) {
while (ist >> std::ws >> c) {
if (c == end_char) {
break;
}
if (c == delim_char) {
continue;
}
ist.putback(c);
if (!(ist >> std::ws >> basis_reader)) {
MessageStreams::forced() << "std::istream& operator>>(std::istream&, chirotope_data&): "
<< "key not found." << std::endl;
ist.clear(std::ios::failbit);
return ist;
}
if (!(ist >> std::ws >> dash >> arrow)) {
MessageStreams::forced() << "std::istream& operator>>(std::istream&, chirotope_data&): "
<< "`" << map_chars << "' not found." << std::endl;
ist.clear(std::ios::failbit);
return ist;
}
if (!(ist >> std::ws >> opening_bracket >> int_reader)) {
MessageStreams::forced() << "std::istream& operator>>(std::istream&, chirotope_data&): "
<< "data not found." << std::endl;
ist.clear(std::ios::failbit);
return ist;
}
if (!(ist >> std::ws >> comma >> field_reader >> closing_bracket)) {
MessageStreams::forced() << "std::istream& operator>>(std::istream&, chirotope_data&): "
<< "data not found." << std::endl;
ist.clear(std::ios::failbit);
return ist;
}
#ifdef TOPCOM_CHIROTOPE
insert(basis_reader, Pair<int, Field>(int_reader, field_reader));
#else
insert(std::pair<basis_type, std::pair<int, Field> >(basis_reader, std::pair<int, Field>(int_reader, field_reader)));
#endif
}
}
else {
MessageStreams::forced() << "std::istream& operator>>(std::istream&, chirotope_data&): "
<< "missing `" << start_char << "'." << std::endl;
ist.clear(std::ios::failbit);
return ist;
}
ist.clear(std::ios::goodbit);
return ist;
}
std::ostream& RealChiro::write(std::ostream& ost) const {
ost << no() << ',' << rank() << ':' << start_char;
if (!empty()) {
chirotope_data::const_iterator iter = begin();
#ifdef TOPCOM_CHIROTOPE
ost << iter->key() << map_chars << iter->data();
#else
ost << iter->first << map_chars << iter->second;
#endif
while (++iter != end()) {
#ifdef TOPCOM_CHIROTOPE
ost << delim_char << iter->key() << map_chars << iter->data();
#else
ost << delim_char << iter->first << map_chars << iter->second;
#endif
}
}
ost << end_char;
return ost;
}
}; // namespace topcom
// eof RealChiro.cc
|
