PolyBoRi
Public Types | Public Member Functions | List of all members
polybori::LexOrder Class Reference

This class defines ordering related functions. More...

#include <LexOrder.h>

Inheritance diagram for polybori::LexOrder:
polybori::COrderingFacade< LexOrder, lex_tag > polybori::COrderingBase polybori::COrderingTags< lex_tag > polybori::order_traits< lex_tag > polybori::CAuxTypes polybori::COrderingTagsBase< lex_tag, valid_tag, invalid_tag, invalid_tag, valid_tag >

Public Types

typedef std::less< idx_typeidx_comparer_type
 Define binary predicate for index comparision. More...
 
- Public Types inherited from polybori::COrderingFacade< LexOrder, lex_tag >
typedef self base
 *this is to be used as base for OrderType only More...
 
typedef LexOrder order_type
 Variable ordering definiton functional type. More...
 
typedef CCacheTypes::lead_tag
< lex_tag
order_lead_tag
 Tag for for leading monomial cache. More...
 
typedef COrderingTags< lex_tagordering_tags
 
- Public Types inherited from polybori::COrderingBase
typedef CCheckedIdx checked_idx_type
 Check index on input. More...
 
typedef std::vector< idx_typeblock_idx_type
 Type for block indices. More...
 
typedef
block_idx_type::const_iterator 
block_iterator
 Type for block iterators. More...
 
typedef BooleSet set_type
 Type of Boolean sets. More...
 
typedef BoolePolynomial poly_type
 
typedef BooleMonomial monom_type
 
typedef CCuddNavigator navigator
 
typedef BooleExponent exp_type
 
typedef COrderedIter
< navigator, monom_type
ordered_iterator
 
typedef COrderedIter
< navigator, exp_type
ordered_exp_iterator
 
- Public Types inherited from polybori::CAuxTypes
typedef bool bool_type
 Type for standard true/false statements. More...
 
typedef std::size_t size_type
 Type for lengths, dimensions, etc. More...
 
typedef int deg_type
 Type for polynomial degrees (ranges from -1 to maxint) More...
 
typedef int integer_type
 Type for integer numbers. More...
 
typedef int idx_type
 Type for indices. More...
 
typedef std::size_t hash_type
 Type for hashing. More...
 
typedef unsigned int errornum_type
 Type used to store error codes. More...
 
typedef short int comp_type
 Type for comparisons. More...
 
typedef int ordercode_type
 Type for ordering codes. More...
 
typedef const char * errortext_type
 Type used to verbose error information. More...
 
typedef std::ostream ostream_type
 Type for out-stream. More...
 
typedef const char * vartext_type
 Type for setting/getting names of variables. More...
 
typedef unsigned long large_size_type
 large size_type (necessary?) More...
 
typedef std::size_t refcount_type
 Type for counting references. More...
 
- Public Types inherited from polybori::order_traits< lex_tag >
enum  
 

Public Member Functions

 LexOrder ()
 Default Constructor. More...
 
 LexOrder (const self &rhs)
 Copy Constructor. More...
 
 ~LexOrder ()
 Destructor. More...
 
comp_type compare (idx_type, idx_type) const
 Comparison of indices corresponding to variables. More...
 
comp_type compare (const monom_type &, const monom_type &) const
 Comparison of monomials. More...
 
comp_type compare (const exp_type &, const exp_type &) const
 Comparison of exponent vectors. More...
 
monom_type lead (const poly_type &) const
 Get leading term. More...
 
monom_type lead (const poly_type &poly, deg_type) const
 
exp_type leadExp (const poly_type &) const
 Get leading exponent. More...
 
exp_type leadExp (const poly_type &poly, deg_type) const
 
- Public Member Functions inherited from polybori::COrderingFacade< LexOrder, lex_tag >
 COrderingFacade ()
 Construct new decision diagramm manager. More...
 
 COrderingFacade (const self &rhs)
 Construct new decision diagramm manager. More...
 
 ~COrderingFacade ()
 Destructor. More...
 
poly_type leadFirst (const poly_type &poly) const
 Generates polynomial with leading term first (other terms may be skipped) More...
 
bool_type isLexicographical () const
 Check whether ring is lexicographical. More...
 
bool_type orderedStandardIteration () const
 Test whether iterators respect order. More...
 
bool_type isSymmetric () const
 Test whether variable pertubation do not change the order. More...
 
bool_type isDegreeOrder () const
 Test whether we deal with a degree-ordering. More...
 
bool_type isBlockOrder () const
 Test whether we deal with a degree-ordering. More...
 
bool_type isTotalDegreeOrder () const
 Test whether we deal with a total degree-ordering. More...
 
bool_type isDegreeReverseLexicographical () const
 Test whether ordering is deg-rev-lex ordering. More...
 
bool_type ascendingVariables () const
 Test whether variables are in ascending order. More...
 
bool_type descendingVariables () const
 Test whether variables are in descending order. More...
 
ordercode_type getOrderCode () const
 Get numerical code for ordering. More...
 
ordercode_type getBaseOrderCode () const
 Get numerical code for base ordering (the same for non-block orderings) More...
 
bool_type lieInSameBlock (idx_type first, idx_type second) const
 
idx_type lastBlockStart () const
 Generic procedure to get index, where last block starts. More...
 
ordered_iterator leadIteratorBegin (const poly_type &poly) const
 Initialize iterator corresponding to leading term. More...
 
ordered_iterator leadIteratorEnd (const poly_type &poly) const
 End marker for iterator corresponding to leading term. More...
 
ordered_exp_iterator leadExpIteratorBegin (const poly_type &poly) const
 Initialize exponent iterator corresponding to leading term. More...
 
ordered_exp_iterator leadExpIteratorEnd (const poly_type &poly) const
 End marker for exponent iterator corresponding to leading term. More...
 
- Public Member Functions inherited from polybori::COrderingBase
 COrderingBase ()
 Default constructor. More...
 
virtual ~COrderingBase ()=0
 
virtual block_iterator blockBegin () const
 
virtual block_iterator blockEnd () const
 
virtual void appendBlock (checked_idx_type)
 
virtual void clearBlocks ()
 

Additional Inherited Members

- Protected Member Functions inherited from polybori::COrderingFacade< LexOrder, lex_tag >
bool_type inSameBlockInternal (idx_type, idx_type, invalid_tag) const
 trivial case for non-block orderings More...
 
bool_type inSameBlockInternal (idx_type first, idx_type second, valid_tag) const
 complicated case for block orderings More...
 

Detailed Description

This class defines ordering related functions.

Member Typedef Documentation

Define binary predicate for index comparision.

Constructor & Destructor Documentation

polybori::LexOrder::LexOrder ( )
inline

Default Constructor.

polybori::LexOrder::LexOrder ( const self rhs)
inline

Copy Constructor.

polybori::LexOrder::~LexOrder ( )
inline

Destructor.

Member Function Documentation

LexOrder::comp_type polybori::LexOrder::compare ( idx_type  lhs,
idx_type  rhs 
) const
virtual
LexOrder::comp_type polybori::LexOrder::compare ( const monom_type lhs,
const monom_type rhs 
) const
virtual

Comparison of monomials.

Implements polybori::COrderingBase.

References polybori::lex_compare(), and PBORI_TRACE_FUNC.

LexOrder::comp_type polybori::LexOrder::compare ( const exp_type lhs,
const exp_type rhs 
) const
virtual

Comparison of exponent vectors.

Implements polybori::COrderingBase.

References polybori::lex_compare(), and PBORI_TRACE_FUNC.

LexOrder::monom_type polybori::LexOrder::lead ( const poly_type poly) const
virtual
monom_type polybori::LexOrder::lead ( const poly_type poly,
deg_type   
) const
inlinevirtual

Leading monomial with bound (just the ordinary leading monomial)

Note
falls back to leadExp, ignores second argument

Implements polybori::COrderingBase.

LexOrder::exp_type polybori::LexOrder::leadExp ( const poly_type poly) const
virtual
exp_type polybori::LexOrder::leadExp ( const poly_type poly,
deg_type   
) const
inlinevirtual

Leading exponent with bound (just the ordinary leading monomial)

Note
falls back to leadExp, ignores second argument

Implements polybori::COrderingBase.


The documentation for this class was generated from the following files: