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 BooleVariable | var_type |
Type of Boolean variables. | |
typedef BooleMonomial | monom_type |
Type of Boolean variables. | |
typedef BooleSet | 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. | |
Adopt global type definitions | |
typedef CTypes::dd_type | dd_type |
typedef CTypes::size_type | size_type |
typedef CTypes::deg_type | deg_type |
typedef CTypes::idx_type | idx_type |
typedef CTypes::hash_type | hash_type |
typedef CTypes::bool_type | bool_type |
typedef CTypes::comp_type | comp_type |
typedef CTypes::integer_type | integer_type |
typedef CTypes::ostream_type | ostream_type |
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. | |
BooleExponent (bool) | |
self & | get (const monom_type &) |
Construct from Boolean monomial. | |
~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). | |
deg_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. | |
size_type | deg () const |
Degree of the corresponding monomial. | |
set_type | divisors () const |
Divisors of the monomial. | |
set_type | multiples (const self &) 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) |
Substitute variable with index idx by its complement and assign. | |
self | change (idx_type) const |
Substitute variable with index idx by its complement. | |
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 | divide (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 |
comp_type | compare (const self &) const |
Compare with rhs monomial and return comparision code. | |
size_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. |
This class is just a wrapper for using variables for storing indices as interim data structure for BooleMonomial.
typedef data_type::const_iterator polybori::BooleExponent::const_iterator |
typedef data_type::const_reverse_iterator polybori::BooleExponent::const_reverse_iterator |
typedef std::vector<idx_type> polybori::BooleExponent::data_type |
Define the underlying data structure.
This type has no easy equality check.
typedef generate_index_map<self>::type polybori::BooleExponent::idx_map_type |
Type for index maps.
typedef data_type::iterator polybori::BooleExponent::iterator |
Type of Boolean variables.
Type of Boolean polynomials.
typedef data_type::reverse_iterator polybori::BooleExponent::reverse_iterator |
Generic access to current type.
Type of sets of Boolean variables.
typedef data_type::value_type polybori::BooleExponent::value_type |
Generic access to actual data.
Type of Boolean variables.
polybori::BooleExponent::BooleExponent | ( | ) |
Default Constructor.
References PBORI_TRACE_FUNC.
polybori::BooleExponent::BooleExponent | ( | const self & | rhs | ) |
Copy constructor.
References PBORI_TRACE_FUNC.
polybori::BooleExponent::BooleExponent | ( | bool | ) | [explicit] |
References PBORI_TRACE_FUNC.
polybori::BooleExponent::~BooleExponent | ( | ) |
Destructor.
References PBORI_TRACE_FUNC.
const_iterator polybori::BooleExponent::begin | ( | ) | const [inline] |
Start iteration over indices (constant access).
Referenced by polybori::BooleSet::begin(), change(), changeAssign(), polybori::BlockDegRevLexAscOrder::compare(), GCD(), insertConst(), polybori::groebner::LiteralFactorization::LiteralFactorization(), polybori::groebner::LiteralFactorization::occursAsLeadOfFactor(), polybori::BoolePolynomial::operator*=(), polybori::BoolePolynomial::operator/=(), print(), polybori::groebner::random_set_using_generator(), reducibleBy(), removeConst(), and polybori::groebner::set_up_translation_vectors().
BooleExponent polybori::BooleExponent::change | ( | idx_type | idx | ) | const |
Substitute variable with index idx by its complement.
References begin(), end(), and PBORI_TRACE_FUNC.
BooleExponent & polybori::BooleExponent::changeAssign | ( | idx_type | idx | ) |
Substitute variable with index idx by its complement and assign.
References begin(), end(), insert(), and PBORI_TRACE_FUNC.
BooleExponent::comp_type polybori::BooleExponent::compare | ( | const self & | rhs | ) | const |
Compare with rhs monomial and return comparision code.
References polybori::BooleEnv::ordering(), and PBORI_TRACE_FUNC.
Referenced by polybori::operator<(), polybori::operator<=(), polybori::operator>(), and polybori::operator>=().
size_type polybori::BooleExponent::deg | ( | ) | const [inline] |
Degree of the corresponding monomial.
Referenced by polybori::groebner::nf3_degree_order(), and polybori::groebner::GroebnerStrategy::treatVariablePairs().
BooleExponent polybori::BooleExponent::divide | ( | const monom_type & | rhs | ) | const |
References polybori::exp_divide(), and PBORI_TRACE_FUNC.
References divide(), and polybori::BooleVariable::index().
Referenced by divide().
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-().
BooleExponent::set_type polybori::BooleExponent::divisors | ( | ) | const |
Divisors of the monomial.
References polybori::cudd_generate_divisors(), polybori::BoolePolynomial::diagram(), m_data, polybori::CDDInterface< CuddLikeZDD >::manager(), and PBORI_TRACE_FUNC.
const_iterator polybori::BooleExponent::end | ( | ) | const [inline] |
Finish iteration over indices (constant access).
Referenced by polybori::BooleSet::begin(), change(), changeAssign(), polybori::BlockDegRevLexAscOrder::compare(), GCD(), insert(), insertConst(), polybori::groebner::LiteralFactorization::LiteralFactorization(), polybori::BoolePolynomial::operator*=(), polybori::BoolePolynomial::operator/=(), print(), polybori::groebner::random_set_using_generator(), reducibleBy(), remove(), removeConst(), and polybori::groebner::set_up_translation_vectors().
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().
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().
hash_type polybori::BooleExponent::hash | ( | ) | const [inline] |
For the exponent we only have one type of hashes.
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().
BooleExponent polybori::BooleExponent::insertConst | ( | idx_type | idx | ) | const |
Insert variable with index idx in exponent vector.
References begin(), end(), PBORI_TRACE_FUNC, and size().
iterator polybori::BooleExponent::internalBegin | ( | ) | [inline, protected] |
Start iteration over indices (constant access).
Referenced by insert(), push_back(), and remove().
iterator polybori::BooleExponent::internalEnd | ( | ) | [inline, protected] |
Finish iteration over indices (constant access).
Referenced by insert(), push_back(), and remove().
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(), and LCMDeg().
BooleExponent::size_type polybori::BooleExponent::LCMDeg | ( | const self & | rhs | ) | const |
Degree of the least common multiple.
References LCM(), PBORI_TRACE_FUNC, and size().
BooleExponent::set_type polybori::BooleExponent::multiples | ( | const self & | multipliers | ) | const |
multiples of the monomial wrt. given monomial
References polybori::cudd_generate_multiples(), polybori::BoolePolynomial::diagram(), m_data, polybori::CDDInterface< CuddLikeZDD >::manager(), and PBORI_TRACE_FUNC.
BooleExponent polybori::BooleExponent::multiply | ( | const monom_type & | rhs | ) | const |
References polybori::exp_multiply(), and PBORI_TRACE_FUNC.
References polybori::BooleVariable::index(), and multiply().
Referenced by multiply().
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+().
BooleExponent polybori::BooleExponent::multiplyFirst | ( | const set_type & | rhs | ) | const |
self& polybori::BooleExponent::operator= | ( | const monom_type & | rhs | ) | [inline] |
Assignment operation.
References m_data.
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<<().
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().
const_reverse_iterator polybori::BooleExponent::rbegin | ( | ) | const [inline] |
Start reverse iteration over indices (constant access).
Referenced by polybori::BoolePolynomial::BoolePolynomial().
References polybori::BooleVariable::index().
BooleExponent::bool_type polybori::BooleExponent::reducibleBy | ( | const idx_type & | rhs | ) | const |
References begin(), end(), and PBORI_TRACE_FUNC.
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 self & | rhs | ) | const |
Test for reducibility.
References begin(), end(), and PBORI_TRACE_FUNC.
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::removeConst | ( | idx_type | idx | ) | const |
Remove variable with index idx in exponent vector.
References begin(), end(), PBORI_TRACE_FUNC, and size().
const_reverse_iterator polybori::BooleExponent::rend | ( | ) | const [inline] |
Finish reverse iteration over indices (constant access).
Referenced by polybori::BoolePolynomial::BoolePolynomial().
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.
Referenced by operator=().
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).
deg_type polybori::BooleExponent::size | ( | ) | const [inline] |
Degree of the corresponding monomial.
Referenced by GCD(), insertConst(), LCMDeg(), and removeConst().
hash_type polybori::BooleExponent::stableHash | ( | ) | const [inline] |
Hash value for the exponent.
References polybori::stable_term_hash().
data_type polybori::BooleExponent::m_data [protected] |
The actual exponent indices.
Referenced by divisors(), get(), insert(), multiples(), operator=(), push_back(), and remove().