polybori::BooleExponent Class Reference
This class is just a wrapper for using variables for storing indices as interim data structure for BooleMonomial. More...
#include <BooleExponent.h>
Public Types | |
| typedef std::vector< idx_type > | data_type |
| Define the underlying data structure. | |
| typedef data_type::value_type | value_type |
| Generic access to actual data. | |
| typedef BooleExponent | self |
| Generic access to current type. | |
| typedef BoolePolynomial | poly_type |
| Type of Boolean polynomials. | |
| typedef poly_type::ring_type | ring_type |
| Type of Boolean variables. | |
| typedef poly_type::var_type | var_type |
| Type of Boolean variables. | |
| typedef poly_type::monom_type | monom_type |
| Type of Boolean variables. | |
| typedef poly_type::set_type | set_type |
| Type of sets of Boolean variables. | |
| typedef generate_index_map < self >::type | idx_map_type |
| Type for index maps. | |
| typedef invalid_tag | easy_equality_property |
| This type has no easy equality check. | |
Generic access to iterator types | |
| typedef data_type::iterator | iterator |
| typedef data_type::const_iterator | const_iterator |
| typedef data_type::reverse_iterator | reverse_iterator |
| typedef data_type::const_reverse_iterator | const_reverse_iterator |
Public Member Functions | |
| BooleExponent () | |
| Default Constructor. | |
| BooleExponent (const self &) | |
| Copy constructor. | |
| self & | get (const monom_type &) |
| Construct from Boolean monomial. | |
| BooleExponent (const monom_type &rhs) | |
| ~BooleExponent () | |
| Destructor. | |
| const_iterator | begin () const |
| Start iteration over indices (constant access). | |
| const_iterator | end () const |
| Finish iteration over indices (constant access). | |
| const_reverse_iterator | rbegin () const |
| Start reverse iteration over indices (constant access). | |
| const_reverse_iterator | rend () const |
| Finish reverse iteration over indices (constant access). | |
| size_type | size () const |
| Degree of the corresponding monomial. | |
| void | reserve (size_type nsize) |
| Prepare memory for exponents. | |
| void | resize (size_type nsize) |
| Drop compoents from the nsize-th element on. | |
| deg_type | deg () const |
| Degree of the corresponding monomial. | |
| set_type | divisors (const ring_type &) const |
| Divisors of the monomial. | |
| set_type | multiples (const self &, const ring_type &) const |
| multiples of the monomial wrt. given monomial (both given as exponents) | |
| set_type | multiples (const monom_type &) const |
| multiples of the monomial wrt. given monomial | |
| hash_type | stableHash () const |
| Hash value for the exponent. | |
| hash_type | hash () const |
| For the exponent we only have one type of hashes. | |
| self & | changeAssign (idx_type) |
| Insert a given index, if it is not there, remove otherwise; assign the result. | |
| self | change (idx_type) const |
| Insert a given index, if it is not there, remove otherwise; return the result. | |
| self & | insert (idx_type) |
| Insert variable with index idx in exponent vector. | |
| self & | push_back (idx_type idx) |
| Insert variable with index idx in exponent vector (trying end first). | |
| self & | remove (idx_type) |
| Remove variable with index idx in exponent vector. | |
| self | insertConst (idx_type) const |
| Insert variable with index idx in exponent vector. | |
| self | removeConst (idx_type) const |
| Remove variable with index idx in exponent vector. | |
| self | divide (const self &) const |
| Corresponds to division of monomials. | |
| self | divideByIndex (const idx_type &rhs) const |
| self | divide (const var_type &rhs) const |
| self | divide (const monom_type &) const |
| self | multiply (const self &) const |
| Corresponds to multiplication of monomials. | |
| self | multiply (const idx_type &rhs) const |
| self | multiply (const var_type &rhs) const |
| self | multiply (const monom_type &) const |
| self | multiplyFirst (const set_type &) const |
| self & | operator= (const self &rhs) |
| Assignment operation. | |
| self & | operator= (const monom_type &rhs) |
| bool_type | reducibleBy (const self &rhs) const |
| Test for reducibility. | |
| bool_type | reducibleBy (const monom_type &rhs) const |
| bool_type | reducibleBy (const idx_type &rhs) const |
| bool_type | reducibleBy (const var_type &rhs) const |
| deg_type | LCMDeg (const self &) const |
| Degree of the least common multiple. | |
| self | LCM (const self &) const |
| Compute the greatest common divisor. | |
| self | GCD (const self &) const |
| Compute the greatest common divisor and assign. | |
| self & | popFirst () |
| Removes the first index from exponent. | |
| ostream_type & | print (ostream_type &) const |
| Print current polynomial to output stream. | |
Logical operations | |
| bool_type | operator== (const self &rhs) const |
| bool_type | operator!= (const self &rhs) const |
Protected Member Functions | |
| iterator | internalBegin () |
| Start iteration over indices (constant access). | |
| iterator | internalEnd () |
| Finish iteration over indices (constant access). | |
| reverse_iterator | rInternalBegin () |
| Start reverse iteration over indices (constant access). | |
| reverse_iterator | rInternalEnd () |
| Finish reverse iteration over indices (constant access). | |
Protected Attributes | |
| data_type | m_data |
| The actual exponent indices. | |
Detailed Description
This class is just a wrapper for using variables for storing indices as interim data structure for BooleMonomial.Member Typedef Documentation
| typedef std::vector<idx_type> polybori::BooleExponent::data_type |
Define the underlying data structure.
| typedef data_type::value_type polybori::BooleExponent::value_type |
Generic access to actual data.
| typedef data_type::iterator polybori::BooleExponent::iterator |
| typedef data_type::const_iterator polybori::BooleExponent::const_iterator |
| typedef data_type::reverse_iterator polybori::BooleExponent::reverse_iterator |
| typedef data_type::const_reverse_iterator polybori::BooleExponent::const_reverse_iterator |
Generic access to current type.
Type of Boolean polynomials.
Type of Boolean variables.
Type of Boolean variables.
Type of Boolean variables.
Type of sets of Boolean variables.
| typedef generate_index_map<self>::type polybori::BooleExponent::idx_map_type |
Type for index maps.
This type has no easy equality check.
Constructor & Destructor Documentation
| polybori::BooleExponent::BooleExponent | ( | ) |
| polybori::BooleExponent::BooleExponent | ( | const self & | rhs | ) |
| polybori::BooleExponent::BooleExponent | ( | const monom_type & | rhs | ) | [explicit] |
References polybori::BooleMonomial::begin(), polybori::BooleMonomial::end(), m_data, and PBORI_TRACE_FUNC.
| polybori::BooleExponent::~BooleExponent | ( | ) |
Member Function Documentation
| BooleExponent & polybori::BooleExponent::get | ( | const monom_type & | rhs | ) |
Construct from Boolean monomial.
References polybori::BooleMonomial::begin(), polybori::BooleMonomial::end(), m_data, PBORI_TRACE_FUNC, and polybori::BooleMonomial::size().
Referenced by polybori::BooleMonomial::exp().
| const_iterator polybori::BooleExponent::begin | ( | ) | const [inline] |
Start iteration over indices (constant access).
Referenced by polybori::groebner::GroebnerStrategy::addVariablePairs(), change(), changeAssign(), polybori::BooleSet::containsDivisorsOfDecDeg(), GCD(), insertConst(), polybori::groebner::LiteralFactorization::LiteralFactorization(), polybori::groebner::FGLMStrategy::main(), polybori::groebner::LiteralFactorization::occursAsLeadOfFactor(), polybori::groebner::IsVariableOfIndex::operator()(), polybori::BoolePolynomial::operator*=(), polybori::BoolePolynomial::operator/=(), polybori::BooleSet::owns(), polybori::groebner::p2code(), print(), polybori::groebner::random_set_using_generator(), polybori::groebner::reduce_complete(), reducibleBy(), removeConst(), polybori::groebner::RankingVector::rerank(), and polybori::groebner::set_up_translation_vectors().
| const_iterator polybori::BooleExponent::end | ( | ) | const [inline] |
Finish iteration over indices (constant access).
Referenced by polybori::groebner::GroebnerStrategy::addVariablePairs(), change(), changeAssign(), polybori::BooleSet::containsDivisorsOfDecDeg(), GCD(), insert(), insertConst(), polybori::groebner::LiteralFactorization::LiteralFactorization(), polybori::BoolePolynomial::operator*=(), polybori::BoolePolynomial::operator/=(), polybori::BooleSet::owns(), polybori::groebner::p2code(), print(), polybori::groebner::random_set_using_generator(), polybori::groebner::reduce_complete(), reducibleBy(), remove(), removeConst(), polybori::groebner::RankingVector::rerank(), and polybori::groebner::set_up_translation_vectors().
| const_reverse_iterator polybori::BooleExponent::rbegin | ( | ) | const [inline] |
Start reverse iteration over indices (constant access).
Referenced by polybori::BoolePolynomial::BoolePolynomial().
| const_reverse_iterator polybori::BooleExponent::rend | ( | ) | const [inline] |
Finish reverse iteration over indices (constant access).
Referenced by polybori::BoolePolynomial::BoolePolynomial().
| size_type polybori::BooleExponent::size | ( | ) | const [inline] |
Degree of the corresponding monomial.
Referenced by GCD(), polybori::groebner::CacheManager::insert(), insertConst(), LCMDeg(), polybori::groebner::CacheManager::lookup(), polybori::groebner::CountCriterion::operator()(), and removeConst().
| void polybori::BooleExponent::reserve | ( | size_type | nsize | ) | [inline] |
Prepare memory for exponents.
Referenced by polybori::LexOrder::leadExp(), polybori::DegRevLexAscOrder::leadExp(), and polybori::DegLexOrder::leadExp().
| void polybori::BooleExponent::resize | ( | size_type | nsize | ) | [inline] |
Drop compoents from the nsize-th element on.
| deg_type polybori::BooleExponent::deg | ( | ) | const [inline] |
Degree of the corresponding monomial.
Referenced by polybori::groebner::GroebnerStrategy::addAsYouWish(), polybori::groebner::FGLMStrategy::main(), polybori::groebner::nf3_degree_order(), polybori::groebner::ShorterEliminationLengthModified::operator()(), polybori::groebner::LargerDegreeComparer::operator()(), polybori::groebner::IsVariableOfIndex::operator()(), polybori::groebner::CountCriterion::operator()(), polybori::groebner::RankingVector::rerank(), and polybori::groebner::GroebnerStrategy::treatVariablePairs().
| BooleExponent::set_type polybori::BooleExponent::divisors | ( | const ring_type & | ring | ) | const |
Divisors of the monomial.
References polybori::cudd_generate_divisors(), m_data, and PBORI_TRACE_FUNC.
Referenced by polybori::groebner::GroebnerStrategy::checkChainCriterion(), and polybori::groebner::CountCriterion::operator()().
| BooleExponent::set_type polybori::BooleExponent::multiples | ( | const self & | multipliers, | |
| const ring_type & | ring | |||
| ) | const |
multiples of the monomial wrt. given monomial (both given as exponents)
References polybori::cudd_generate_multiples(), m_data, and PBORI_TRACE_FUNC.
| BooleExponent::set_type polybori::BooleExponent::multiples | ( | const monom_type & | mult | ) | const |
multiples of the monomial wrt. given monomial
References polybori::cudd_generate_multiples(), m_data, PBORI_TRACE_FUNC, and polybori::BooleMonomial::ring().
| hash_type polybori::BooleExponent::stableHash | ( | ) | const [inline] |
| hash_type polybori::BooleExponent::hash | ( | ) | const [inline] |
For the exponent we only have one type of hashes.
| BooleExponent & polybori::BooleExponent::changeAssign | ( | idx_type | idx | ) |
Insert a given index, if it is not there, remove otherwise; assign the result.
References begin(), end(), insert(), and PBORI_TRACE_FUNC.
| BooleExponent polybori::BooleExponent::change | ( | idx_type | idx | ) | const |
Insert a given index, if it is not there, remove otherwise; return the result.
References begin(), end(), and PBORI_TRACE_FUNC.
| BooleExponent & polybori::BooleExponent::insert | ( | idx_type | idx | ) |
Insert variable with index idx in exponent vector.
References end(), internalBegin(), internalEnd(), m_data, and PBORI_TRACE_FUNC.
Referenced by changeAssign(), and polybori::groebner::minimal_elements_internal3().
| BooleExponent & polybori::BooleExponent::push_back | ( | idx_type | idx | ) |
Insert variable with index idx in exponent vector (trying end first).
References internalBegin(), internalEnd(), m_data, and PBORI_TRACE_FUNC.
Referenced by polybori::groebner::random_set_using_generator().
| BooleExponent & polybori::BooleExponent::remove | ( | idx_type | idx | ) |
Remove variable with index idx in exponent vector.
References end(), internalBegin(), internalEnd(), m_data, and PBORI_TRACE_FUNC.
| BooleExponent polybori::BooleExponent::insertConst | ( | idx_type | idx | ) | const |
Insert variable with index idx in exponent vector.
References begin(), end(), PBORI_TRACE_FUNC, and size().
| BooleExponent polybori::BooleExponent::removeConst | ( | idx_type | idx | ) | const |
Remove variable with index idx in exponent vector.
References begin(), end(), PBORI_TRACE_FUNC, and size().
Referenced by polybori::groebner::FGLMStrategy::writeRowToVariableDivisors().
| BooleExponent polybori::BooleExponent::divide | ( | const self & | rhs | ) | const |
Corresponds to division of monomials.
References polybori::exp_divide(), and PBORI_TRACE_FUNC.
Referenced by polybori::operator-().
References polybori::BooleVariable::index().
| BooleExponent polybori::BooleExponent::divide | ( | const monom_type & | rhs | ) | const |
References polybori::exp_divide(), and PBORI_TRACE_FUNC.
| BooleExponent polybori::BooleExponent::multiply | ( | const self & | rhs | ) | const |
Corresponds to multiplication of monomials.
References polybori::exp_multiply(), and PBORI_TRACE_FUNC.
Referenced by LCM(), and polybori::operator+().
References polybori::BooleVariable::index(), and polybori::groebner::multiply().
| BooleExponent polybori::BooleExponent::multiply | ( | const monom_type & | rhs | ) | const |
References polybori::exp_multiply(), and PBORI_TRACE_FUNC.
| BooleExponent polybori::BooleExponent::multiplyFirst | ( | const set_type & | rhs | ) | const |
| self& polybori::BooleExponent::operator= | ( | const monom_type & | rhs | ) | [inline] |
| BooleExponent::bool_type polybori::BooleExponent::reducibleBy | ( | const self & | rhs | ) | const |
| BooleExponent::bool_type polybori::BooleExponent::reducibleBy | ( | const monom_type & | rhs | ) | const |
References polybori::BooleMonomial::begin(), begin(), polybori::BooleMonomial::end(), end(), and PBORI_TRACE_FUNC.
| BooleExponent::bool_type polybori::BooleExponent::reducibleBy | ( | const idx_type & | rhs | ) | const |
References begin(), end(), and PBORI_TRACE_FUNC.
References polybori::BooleVariable::index().
| BooleExponent::deg_type polybori::BooleExponent::LCMDeg | ( | const self & | rhs | ) | const |
Degree of the least common multiple.
References LCM(), PBORI_TRACE_FUNC, and size().
Referenced by polybori::groebner::CountCriterion::operator()().
| BooleExponent polybori::BooleExponent::LCM | ( | const self & | rhs | ) | const |
Compute the greatest common divisor.
Compute theleast common multiple and assign self& LCMAssign(const self&);
References multiply(), and PBORI_TRACE_FUNC.
Referenced by polybori::LCM(), LCMDeg(), and polybori::groebner::CountCriterion::operator()().
| BooleExponent polybori::BooleExponent::GCD | ( | const self & | rhs | ) | const |
Compute the greatest common divisor and assign.
Compute the greatest common divisor
References begin(), end(), PBORI_TRACE_FUNC, and size().
Referenced by polybori::GCD(), and polybori::groebner::ReductionStrategy::llReduce().
| self& polybori::BooleExponent::popFirst | ( | ) | [inline] |
Removes the first index from exponent.
| BooleExponent::ostream_type & polybori::BooleExponent::print | ( | ostream_type & | os | ) | const |
Print current polynomial to output stream.
References begin(), end(), and PBORI_TRACE_FUNC.
Referenced by polybori::operator<<().
| iterator polybori::BooleExponent::internalBegin | ( | ) | [inline, protected] |
| iterator polybori::BooleExponent::internalEnd | ( | ) | [inline, protected] |
| reverse_iterator polybori::BooleExponent::rInternalBegin | ( | ) | [inline, protected] |
Start reverse iteration over indices (constant access).
| reverse_iterator polybori::BooleExponent::rInternalEnd | ( | ) | [inline, protected] |
Finish reverse iteration over indices (constant access).
Member Data Documentation
data_type polybori::BooleExponent::m_data [protected] |
The actual exponent indices.
Referenced by BooleExponent(), divisors(), get(), insert(), multiples(), push_back(), and remove().
The documentation for this class was generated from the following files:
