vcsn Namespace Reference
[Miscellaneous constructs used by Vaucanson]

The main namespace of the Vaucanson library. More...


Classes

struct  dynamic_traits< algebra::AlphabetSetBase< S > >
 Specialization of dynamic_traits for AlphabetSetBase. More...
struct  virtual_types< algebra::AlphabetSetBase< S > >
 Specialization of virtual_types for AlphabetSetBase. More...
struct  MetaElement< algebra::AlphabetSetBase< S >, T >
 Specialization of MetaElement for AlphabetSetBase. More...
struct  dynamic_traits< algebra::FreeMonoidBase< Self > >
struct  MetaElement< algebra::FreeMonoidBase< Self >, T >
 Element of a free monoid i.e. words. More...
struct  dynamic_traits< algebra::FreeMonoidProduct< F, S > >
 Meta information about FreeMonoidProduct. More...
struct  MetaElement< algebra::FreeMonoidProduct< F, S >, T >
 Services of an element of a monoid implemented with FreeMonoidProduct. More...
struct  dynamic_traits< algebra::FreeMonoidProductBase< Self > >
struct  MetaElement< algebra::FreeMonoidProductBase< Self >, T >
 Element of a monoid i.e. words. More...
struct  dynamic_traits< algebra::MonoidBase< Self > >
struct  MetaElement< algebra::MonoidBase< Self >, T >
 Defines services of element of every monoid. More...
struct  dynamic_traits< algebra::NumericalSemiring >
 Meta information about the NumericalSemiring structural element. More...
struct  MetaElement< algebra::NumericalSemiring, T >
 Services of Element for numerical semirings. More...
struct  dynamic_traits< algebra::SemigroupBase< Self > >
struct  MetaElement< algebra::SemigroupBase< Self >, T >
 Services of every element of a semigroup. More...
struct  dynamic_traits< algebra::SemiringBase< Self > >
struct  MetaElement< algebra::SemiringBase< Self >, T >
 Services of every element of semiring (semiring_elt). More...
struct  op_star_traits
 Meta information about the return type of the star operation. More...
struct  dynamic_traits< algebra::SeriesBase< Self > >
class  MetaElement< algebra::SeriesBase< Self >, T >
 Services of every series. More...
struct  dynamic_traits< algebra::TropicalSemiring< TropicalKind > >
 Meta information about the tropical semirings. More...
struct  MetaElement< algebra::TropicalSemiring< TropicalKind >, T >
 Services of element of a tropical semiring. More...
struct  MetaElement< algebra::AlphabetSet< L >, std::set< L > >
 Services of every alphabet implemented with std::set. More...
struct  dynamic_traits< algebra::AlphabetSet< L > >
 Meta information about AlphabetSet. More...
struct  MetaElement< algebra::AlphabetSet< L >, algebra::AlphabetDecorator< L, T > >
 Services of every alphabet implemented with AlphabetDecorator<L, T>. More...
struct  dynamic_traits< algebra::FreeMonoid< A > >
 Meta information about FreeMonoid. More...
struct  MetaElement< algebra::FreeMonoid< A >, T >
 Services of an element of a free monoid implemented with FreeMonoid. More...
struct  MetaElement< algebra::Series< W, M >, T >
 Specialization of MetaElement for series. More...
struct  dynamic_traits< algebra::Series< W, M > >
 Dynamic traits for series. More...
struct  virtual_types< algebra::Series< W, M > >
 Virtual types for series. More...
struct  KRatExpAciCanonical
 Visitor to build a canonical form of an expression, following aci-rules. More...
struct  DefaultChooser
 Default chooser for aut_to_exp(). More...
struct  RandomChooser
 Choose randomly a state between all currently choosable. More...
struct  DMChooser
 Choose a state accordingly to an heuristic. More...
class  ListChooser
 Chooser for aut_to_exp(). More...
struct  BerrySethiAlgo
 This is the visitor that really computes Berry-Sethi. More...
struct  BrzozowskiAlgo
 This is the class that really computes Brzozowski. More...
struct  KRatExpInitialDerivation
 Visitor to have an initial set of partial derivatives terms from an expression. More...
class  PRatExpDerivationVisitor
 This class performs partial rational expression derivations. More...
class  ConstantTermEval
 This is the visitor that really computes the constant term. More...
struct  KRatExpFlatten
struct  linearize_element
 The types of a linearized expression. More...
struct  FindBestSearch
 Specific implementation for search(). More...
struct  WindowedBackSearch
 Specific implementation for search(). More...
struct  dynamic_traits< Automata< Series, Kind > >
 Dynamic traits for automata. More...
struct  MetaElement< Automata< Series, Kind >, T >
 MetaElement specialization for automata. More...
struct  virtual_types< Automata< Series, Kind > >
 Virtual types for automata. More...
class  Automata
 Final class for the set of automata. More...
struct  AutomataBase
 The most general concept of automaton. More...
struct  MetaElement< AutomataBase< Self >, T >
 Services of every element of the automata set. More...
class  AutoKind< labels_are_series, Self, Series, SeriesT, LabelT >
 Add adapted accessors in function of the automaton kind. More...
struct  dynamic_traits< Transducer< Series, Kind > >
 Dynamic traits for transducers. More...
struct  MetaElement< Transducer< Series, Kind >, T >
 Specialization of MetaElement for transducers. More...
struct  virtual_types< Transducer< Series, Kind > >
 Virtual types for transducers. More...
class  Transducer
 Final class for the set of transducers. More...
struct  TransducerBase
 The most general concept of transducer. More...
struct  transducer_traits
 Traits for transducer implementation. More...
struct  MetaElement< TransducerBase< Self >, T >
 Services of every element of the transducer set. More...
struct  geometry
 Store 4 maps for geometry properties of the automaton. More...
struct  TransposeView
 Provides a transposed view of an automaton. More...
struct  transpose_traits
 Traits for TransposeView. More...
struct  automaton_traits< TransposeView< T > >
 automaton_traits specialization for the TransposeView implementation. More...
class  Element
 Glue class between structural elements and implementation values. More...
struct  op_add_traits
 The type of the result of addition between two Element instances. More...
struct  op_sub_traits
 The type of the result of substraction between two Element instances. More...
struct  op_mul_traits
 The type of the result of multiplication between two Element instances. More...
struct  op_div_traits
 The type of the result of division between two Element instances. More...
struct  op_mod_traits
 The type of the result of modulus between two Element instances. More...
struct  MetaElement< Structure< S >, T >
 The base class that glues structural elements to implementation values. More...
struct  SetSlotAttribute
 Base class for SetSlot. More...
struct  SetSlotAttribute< S, true >
 Base class for SetSlot, specializing SetSlotAttribute. More...
struct  SetSlot
 Type of the set_ attribute of the Element class. More...
struct  Structure
 Base class for the hierarchy of structural element types. More...
struct  dynamic_traits< Structure< S > >
 Specialization of dynamic_traits for Structure. More...
struct  virtual_types< Structure< S > >
 Specialization of virtual_types for Structure. More...
struct  SyntacticDecorator
 Provides the standard operator delegations to Element. More...

Namespaces

namespace  algebra
 Namespace for algebra constructs in Vaucanson.
namespace  misc
 The namespace for miscellaneous constructs.
namespace  delta_kind
 These are helpers for delta functions: transition or state oriented delta are chosen according to them.

Enumerations

enum  op_choose_max_word_length_t
 Maximum length of words generated by op_choose. More...

Functions

template<typename S, typename T>
std::pair< bool, typename
Element< S, T >::letter_t > 		parse_letter (const Element< S, T > &alphabet, const std::string &s)
 Public interface to the letter parser.
template<typename S, typename T>
Element< S, T > mirror (const Element< S, T > &e)
 Return a fresh word that is the mirror.
template<typename S, typename T>
std::pair< bool, int > parse_word (Element< S, T > &dest, const std::string &s)
 Parse the beginning of the string looking for a word.
template<typename S, typename T>
op_star_traits< S, T >::ret_t star (const Element< S, T > &w)
 Returns a fresh weight that is the star of w.
template<typename S, typename T>
bool parse_weight (Element< S, T > &w, const std::string &, typename std::string::const_iterator &)
 Parse the beginning of the string looking for a weight.
template<typename S, typename T>
bool starable (const Element< S, T > &elt)
 Returns true if we can compute the star of the weight.
template<typename S, typename T>
Element< S, T > transpose (const algebra::SeriesBase< S > &s, const T &t)
 returns a fresh series that is the transposed of the argument.
template<typename S, typename T>
bool is_support_in_alphabet (const Element< S, T > &s)
 Returns true if the support of the series is only composed of letters.
template<typename S1, typename S2, typename T1, typename T2>
void extract_support (Element< S1, T1 > &, Element< S2, T2 > &)
 Make the first series be the support of the second.
template<class S, class T>
Element< S, T > hadamard (const Element< S, T > &lhs, const Element< S, T > &rhs)
 Return the hadamard product of lhs and rhs.
template<typename A, typename AI>
std::set< typename Element< A,
AI >::hstate_t > 		accessible_states (const Element< A, AI > &a)
 Return accessible states.
template<typename A, typename AI>
Element< A, AI > accessible (const Element< A, AI > &a)
 Extract the sub-automaton composed of accessible states.
template<typename A, typename AI>
void accessible_here (Element< A, AI > &a)
 In-place extract the sub-automaton of accessible states.
template<typename A, typename AI>
std::set< typename Element< A,
AI >::hstate_t > 		coaccessible_states (const Element< A, AI > &a)
 Return co-accessible states.
template<typename A, typename AI>
Element< A, AI > coaccessible (const Element< A, AI > &a)
 Extract the sub-automaton composed of co-accessible states.
template<typename A, typename AI>
void coaccessible_here (Element< A, AI > &a)
 In-place extract the sub-automaton of co-accessible states.
template<typename S, typename SI>
Element< S, SI > canonical (const Element< S, SI > &exp)
 Transform a krat expression into its canonical form, following aci-rules.
template<typename A, typename AI>
Element< A, AI >::series_set_elt_t aut_to_exp (const Element< A, AI > &a)
 Returns a series which describes the language of the automaton.
template<typename A, typename AI, typename Chooser>
Element< A, AI >::series_set_elt_t aut_to_exp (const Element< A, AI > &a, const Chooser &c)
 Returns a series which describes the language of the automaton.
template<typename A, typename T, typename Exp>
void berry_sethi (Element< A, T > &, const Exp &)
 Build an automaton from an expression using the Berry-Sethi construction.
template<typename S, typename T>
linearize_element< S, T >
::alphabet_t 		linearized_alphabet (const Element< S, T > &exp)
 Computes a linearized alphabet from a rational expression.
template<typename Exp, typename Letter>
Exp linear_exp_continuation (const Exp &exp, const Letter &l)
 This function computes a continuation on linearized expressions.
template<typename A, typename T, typename Exp>
void brzozowski (Element< A, T > &, const Exp &)
 Build an automaton from an expression using the Brzozowski construction.
template<typename A, typename AI>
void complement_here (Element< A, AI > &a)
 Complement in place the set of final states.
template<typename A, typename AI>
Element< A, AI > complement (const Element< A, AI > &a)
 Complement the set of final states.
template<typename A, typename AI>
void complete_here (Element< A, AI > &a)
 Make the transition function of an automaton total w.r.t.
template<typename A, typename AI>
Element< A, AI > complete (const Element< A, AI > &a)
 Make the transition function of an automaton total w.r.t.
template<typename A, typename AI>
bool is_complete (const Element< A, AI > &a)
 Test whether an automaton is complete.
template<typename S, typename T>
Element< S, T > composition_cover (const Element< S, T > &fmp)
 Facade for composition cover.
template<typename S, typename T>
Element< S, T > composition_co_cover (const Element< S, T > &fmp)
 Facade for composition co-cover.
template<typename A, typename AI>
Element< A, AI > concatenate (const Element< A, AI > &lhs, const Element< A, AI > &rhs)
 Return the concatenation of two automata.
template<typename A, typename AI>
void concatenate_here (Element< A, AI > &lhs, const Element< A, AI > &rhs)
 In place concatenation of two automata.
template<typename A, typename AI>
bool is_cut_up (const Element< A, AI > &a)
 Check if labels are series with one element.
template<typename A, typename AI>
Element< A, AI > cut_up (const Element< A, AI > &a)
 Transform an automaton labeled with series to an automaton where all labels are series with one and only one element.
template<typename A, typename AI>
void cut_up (const Element< A, AI > &a, Element< A, AI > &res)
 Transform an automaton labeled with series to an automaton where all labels are series with one and only one element.
template<typename A, typename AI>
void cut_up_here (Element< A, AI > &a)
 Transform an automaton labeled with series to an automaton where all labels are series with one and only one element.
template<typename A, typename T, typename Exp>
void derived_term_automaton (Element< A, T > &a, const Exp &e)
 Convert a krat expression into an automaton using derivatives.
template<typename A, typename T, typename Exp>
Element< A, T > derived_term_automaton (const Exp &e)
 Convert a krat expression into an automaton using derivatives.
template<typename A, typename T, typename Exp>
Element< A, T > broken_derived_term_automaton (const Exp &e)
 Convert a krat expression into an automaton using derivatives.
template<typename A, typename AI>
void eps_removal_here (Element< A, AI > &a, misc::direction_type dir=misc::backward)
 In place eps_removal of an automaton (default is backward eps_removal).
template<typename A, typename AI>
Element< A, AI > eps_removal (const Element< A, AI > &a, misc::direction_type dir=misc::backward)
 Eps_Removal of an automaton (default is backward eps_removal).
template<typename A, typename AI>
void backward_eps_removal_here (Element< A, AI > &a)
 In place backward eps_removal of an automaton.
template<typename A, typename AI>
Element< A, AI > backward_eps_removal (const Element< A, AI > &a)
 Backward eps_removal of an automaton.
template<typename A, typename AI>
void forward_eps_removal_here (Element< A, AI > &a)
 In place forward eps_removal of an automaton.
template<typename A, typename AI>
Element< A, AI > forward_eps_removal (const Element< A, AI > &a)
 Forward eps_removal of an automaton.
template<typename A, typename AI>
void eps_removal_here_sp (Element< A, AI > &a, misc::direction_type dir=misc::backward)
 In place eps_removal_sp of an automaton (default is backward eps_removal).
template<typename A, typename AI>
Element< A, AI > eps_removal_sp (const Element< A, AI > &a, misc::direction_type dir=misc::backward)
 Eps_Removal of an automaton (default is backward eps_removal).
template<typename A, typename AI>
void backward_eps_removal_here_sp (Element< A, AI > &a)
 In place backward eps_removal_sp of an automaton.
template<typename A, typename AI>
Element< A, AI > backward_eps_removal_sp (const Element< A, AI > &a)
 Backward eps_removal_sp of an automaton.
template<typename A, typename AI>
void forward_eps_removal_here_sp (Element< A, AI > &a)
 In place forward eps_removal_sp of an automaton.
template<typename A, typename AI>
Element< A, AI > forward_eps_removal_sp (const Element< A, AI > &a)
 Forward eps_removal_sp of an automaton.
template<typename S, typename A, typename B>
bool are_equivalent (const Element< S, A > &a, const Element< S, B > &b)
 Returns true iff the two boolean automata are equivalents, i.e., if they recognize the same language.
template<typename A, typename AI, typename W>
Element< A, AI >::semiring_elt_t eval (const Element< A, AI > &a, const W &word)
 Return the image of a word by an automaton.
template<typename ST, typename TT>
void evaluation_fmp (const Element< ST, TT > &, const typename input_projection_helper< ST, TT >::ret &, typename output_projection_helper< ST, TT >::ret &)
 Evaluation over normalized and sub-normalized transducers, seen as automata over a free monoid product.
template<typename SA, typename TA, typename ST, typename TT, typename SRET, typename TRET>
void evaluation_rw (const Element< SA, TA > &a, const Element< ST, TT > &t, Element< SRET, TRET > &ret)
 Evaluate for a "letterized" automaton and a realtime transducer.
template<typename S, typename K, typename T>
identity_transducer_helper< S,
K, T >::ret 		extension (const Element< S, T > &)
 Extend an automaton to a transducer.
template<typename SA, typename TA, typename ST, typename TT>
Element< ST, TT > extension (const Element< SA, TA > &, const Element< ST, TT > &)
 Extend an automaton to a transducer.
template<typename S, typename T, typename Ss, typename Ts>
void finite_support_convert (Element< S, T > &dst, const Element< Ss, Ts > &org)
 Finite support conversion.
template<typename A, typename AI>
bool has_succ_comp (const Element< A, AI > &a)
 Return true if the automaton has successful computation.
template<class S, class T>
output_projection_helper< S, T >
::ret 		image (const Element< S, T > &)
template<typename SA, typename TA, typename M>
void partial_elimination (const Element< SA, TA > &a, M &state_exp_pair)
 This function computes a set of expression, after having eliminated all states which are not initial or final.
template<typename S1, typename T1, typename S2, typename T2, typename M>
void partial_evaluation (const Element< S1, T1 > &E, const Element< S2, T2 > &S, const typename Element< S2, T2 >::hstate_t &p, M &res)
 Partial evaluation of a K RatExp E over a realtime transducer S, starting from a given state p.
template<typename A, typename T>
bool has_successors (const Element< A, T > &a, const typename automaton_traits< T >::hstate_t s)
 Whether a state has successors.
template<typename A, typename T>
bool has_predecessors (const Element< A, T > &a, const typename automaton_traits< T >::hstate_t s)
 Whether a state has predecessors.
template<typename A, typename T>
void invert (const Element< A, T > &t, Element< A, T > &res)
 Invert a transducer.
template<typename A, typename T>
Element< A, T > & invert (const Element< A, T > &t)
 Invert a transducer.
template<typename A, typename AI>
bool is_ambiguous (const Element< A, AI > &aut)
 Test the ambiguity of automaton.
template<typename A, typename AI>
bool is_deterministic (const Element< A, AI > &a)
 Test if an automaton is deterministic.
template<typename A, typename AI>
bool is_empty (const Element< A, AI > &a)
 Evaluate if an automaton is empty.
template<typename S, typename A>
bool is_ltl (const Element< S, A > &t)
 Test whether an FMP transducer is letter-to-letter.
template<typename S, typename A>
bool is_normalized_transducer (const Element< S, A > &t)
 Test the normalization of transducer.
template<typename A, typename T>
bool are_isomorphic (const Element< A, T > &a, const Element< A, T > &b)
 Returns true if the two automata are isomorphic.
template<class Series, class T, class Letter>
Element< Series, T > cderivate (const Element< Series, T > &exp, Letter a)
 The c-derivative of the krat expression w.r.t to a letter.
template<class Series, class T, class Word>
Element< Series, T > word_cderivate (const Element< Series, T > &exp, Word a)
 The c-derivative of the krat expression w.r.t to a word.
template<class Series, class T>
std::pair< typename Element
< Series, T >::semiring_elt_t,
bool > 		constant_term (const Element< Series, T > &exp)
 Return the constant term of the krat expression.
template<class Series, class T, class Letter>
std::pair< Element< Series, T >
, bool > 		derivate (const Element< Series, T > &exp, Letter a)
 The antimirov derivative of the krat expression w.r.t to a letter.
template<class Series, class T, class Word>
std::pair< Element< Series, T >
, bool > 		word_derivate (const Element< Series, T > &exp, Word a)
 The antimirov derivative of the krat expression w.r.t to a word.
template<class Series, class T>
std::list< typename
Series::monoid_t::alphabet_t::letter_t > 		flatten (const Element< Series, T > &exp)
 This algorithm extracts the letters from a rational expression.
template<class Series, class T>
linearize_element< Series, T >
::element_t 		linearize (const Element< Series, T > &exp)
 The linearization of the krat expression.
template<class Series, class T, class Letter>
std::pair< std::set< Element
< Series, T > >, bool > 		partial_derivate (const Element< Series, T > &exp, Letter a)
 The partial derivative of the krat expression w.r.t to a letter.
template<class S, class T>
Element< S, T > letter_to_letter_composition (const Element< S, T > &lhs, const Element< S, T > &rhs)
 Undocumented.
template<typename A, typename AI>
Element< A, AI > minimization_hopcroft (const Element< A, AI > &a)
 Return the minimal automaton using the hopcroft algorithm.
template<typename A, typename AI>
Element< A, AI > quotient (const Element< A, AI > &a)
 Return the quotient of a non-deterministic acceptor.
template<typename A, typename AI>
Element< A, AI > minimization_moore (const Element< A, AI > &a)
 Returns the minimal deterministic automaton associated to the input one.
template<typename A, typename AI>
Element< A, AI > co_minimization_moore (const Element< A, AI > &a)
 Returns the co-minimal co-deterministic automaton associated to the input one.
template<typename A, typename AI>
void minimization_moore_here (Element< A, AI > &a)
 Minimalize the deterministic input automaton.
template<typename A, typename AI>
void co_minimization_moore_here (Element< A, AI > &a)
 Co-minimalize the co-deterministic input automaton.
template<typename A, typename AI>
Element< A, AI > normalize (const Element< A, AI > &a)
 Return the fresh thompson-normalized automaton.
template<typename A, typename AI>
void normalize_here (Element< A, AI > &a)
 In-place normalize to the thompson form.
template<typename A, typename AI>
bool is_normalized (const Element< A, AI > &a)
 Return true if the input automaton is thompson-normalized.
template<typename A, typename AI1, typename AI2>
void union_of_normalized_here (Element< A, AI1 > &lhs, const Element< A, AI2 > &rhs)
 Do the in-place union of two thompson-normalized automata.
template<typename A, typename AI1, typename AI2>
Element< A, AI1 > union_of_normalized (const Element< A, AI1 > &lhs, const Element< A, AI2 > &rhs)
 Return the fresh union of two thompson-normalized automata.
template<typename A, typename AI1, typename AI2>
void concatenate_of_normalized_here (Element< A, AI1 > &lhs, const Element< A, AI2 > &rhs)
 Do the in-place concatenation of two thompson-normalized automata.
template<typename A, typename AI1, typename AI2>
Element< A, AI1 > concatenate_of_normalized (const Element< A, AI1 > &lhs, const Element< A, AI2 > &rhs)
 Return the fresh concatenation of two thompson-normalized automata.
template<typename A, typename AI>
void star_of_normalized_here (Element< A, AI > &a)
 Do in-place star transformation on the thompson-normalized input.
template<typename A, typename AI>
Element< A, AI > star_of_normalized (const Element< A, AI > &a)
 Return the fresh star transformation of its normalized input.
template<typename S, typename T>
void compose (const Element< S, T > &lhs, const Element< S, T > &rhs, Element< S, T > &ret)
 Composition for weighted normalized and sub-normalized transducers, seen as automata over a free monoid product.
template<typename S, typename T>
Element< S, T > compose (const Element< S, T > &lhs, const Element< S, T > &rhs)
 Composition for weighted normalized and sub-normalized transducers, seen as automata over a free monoid product.
template<typename S, typename T>
void u_compose (const Element< S, T > &lhs, const Element< S, T > &rhs, Element< S, T > &ret)
 Unambiguous composition for weighted normalized and sub-normalized transducers, seen as automata over a free monoid product.
template<typename S, typename T>
Element< S, T > u_compose (const Element< S, T > &lhs, const Element< S, T > &rhs)
 Unambiguous composition for weighted normalized and sub-normalized transducers, seen as automata over a free monoid product.
template<typename S, typename M1, typename M2, typename lhs_t, typename rhs_t, typename res_t>
void do_compose (const AutomataBase< S > &, const algebra::FreeMonoidProduct< M1, M2 > &, const lhs_t &lhs, const rhs_t &rhs, res_t &ret)
 Ambiguous composition.
template<typename S, typename M1, typename M2, typename lhs_t, typename rhs_t, typename res_t>
void do_u_compose (const AutomataBase< S > &, const algebra::FreeMonoidProduct< M1, M2 > &, const lhs_t &lhs, const rhs_t &rhs, res_t &ret)
 Unambiguous composition.
template<typename auto_t, typename trans_t>
void set_states (const trans_t &, auto_t &, std::map< typename trans_t::hstate_t, typename auto_t::hstate_t > &)
template<typename A, typename AI>
void realtime_here (Element< A, AI > &a, misc::direction_type dir)
 Modify an automaton in place to make it realtime.
template<typename A, typename AI>
Element< A, AI > realtime (const Element< A, AI > &a, misc::direction_type dir)
 Create a realtime automaton from another one.
template<typename S, typename T>
Element< S, T > realtime (const Element< S, T > &e)
 Compute the realtime version of a rational expression or an automata.
template<typename S, typename T>
void realtime_here (Element< S, T > &e)
 Modify a rational expression or automata in place to make it realtime.
template<typename S, typename T>
bool is_realtime (const Element< S, T > &e)
 Test whether an automaton or a rational expression is realtime.
template<typename A, typename AI>
Element< A, AI > reduce (const Element< A, AI > &a, misc::direction_type dir=misc::right_left)
 Reduce of an automaton (default right_left).
template<typename A, typename AI>
void reduce_here (Element< A, AI > &a, misc::direction_type dir=misc::right_left)
 In place reduce of an automaton (default right_left).
template<typename S, typename T>
void rw_composition (const Element< S, T > &lhs, const Element< S, T > &rhs, Element< S, T > &ret)
 Composition for Rational-Weight transducers.
template<typename S, typename T>
Element< S, T > rw_composition (const Element< S, T > &lhs, const Element< S, T > &rhs)
 Composition for Rational-Weight transducers.
template<typename InputIterator, typename FoundFunctor, typename Series, typename Kind, typename T>
void search (const Element< Automata< Series, Kind >, T > &a, const InputIterator &begin, const InputIterator &end, typename Element< Automata< Series, Kind >, T >::letter_t eol, FoundFunctor &f)
 Search for a rational expression into a text.
template<typename Series, typename Kind, typename T, typename StatesSet>
static unsigned int compute_distances (const Element< Automata< Series, Kind >, T > &a, std::vector< StatesSet > &distances)
 Compute distances from initial states to final states.
template<typename InputIterator, typename Series, typename Kind, typename T, typename StatesSet>
static std::pair< bool,
unsigned int > 		window_backsearch (const misc::Window< InputIterator, typename Element< Automata< Series, Kind >, T >::letter_t > &w, const Element< Automata< Series, Kind >, T > &a, const std::vector< StatesSet > &distances)
 Back search inside a window.
template<typename InputIterator, typename FoundFunctor, typename Series, typename Kind, typename T>
static InputIterator confirm_and_report_match (const misc::Window< InputIterator, typename Element< Automata< Series, Kind >, T >::letter_t > &w, const Element< Automata< Series, Kind >, T > &a, FoundFunctor &f)
 Finds the longest match of a starting from w, and report it to the functor.
template<typename A, typename AI>
void standardize (Element< A, AI > &a)
 Returns a standard automaton associated to the input.
template<typename A, typename AI>
bool is_standard (const Element< A, AI > &a)
 Returns true if the input automaton is standard.
template<typename A, typename AI1, typename AI2>
void union_of_standard_here (Element< A, AI1 > &lhs, const Element< A, AI2 > &rhs)
 In-place union of two standard automata.
template<typename A, typename AI1, typename AI2>
Element< A, AI1 > union_of_standard (const Element< A, AI1 > &lhs, const Element< A, AI2 > &rhs)
 Return a fresh union of two standard automata.
template<typename A, typename AI1, typename AI2>
void concat_of_standard_here (Element< A, AI1 > &lhs, const Element< A, AI2 > &rhs)
 In-place concatenation of two standard automata.
template<typename A, typename AI1, typename AI2>
Element< A, AI1 > concat_of_standard (const Element< A, AI1 > &lhs, const Element< A, AI2 > &rhs)
 Return a fresh concatenation of two standard automata.
template<typename A, typename AI>
void star_of_standard_here (Element< A, AI > &a)
 In-place star transformation of a standard automata.
template<typename A, typename AI>
Element< A, AI > star_of_standard (const Element< A, AI > &a)
 Return the fresh star transformation of a standard automata.
template<typename A, typename T, typename Exp>
void standard_of (Element< A, T > &a, const Exp &e)
 Convert a rational expression into a standard automaton.
template<typename A, typename AI, typename HStatesSet>
Element< A, AI > sub_automaton (const Element< A, AI > &a, const HStatesSet &s, bool check_states=true)
 Returns a fresh automaton that is the sub-automaton defined by a set.
template<typename A, typename AI, typename HStatesSet>
void sub_automaton_here (Element< A, AI > &a, const HStatesSet &s, bool check_states=true)
 Select a sub-automaton into a given automaton.
template<class S, class T>
Element< S, T > sub_normalize (const Element< S, T > &a)
 Sub-normalize a FMP transducer.
template<class S, class T1, class T2>
void sub_normalize (const Element< S, T1 > &a, Element< S, T2 > &res)
 Sub-normalize a FMP transducer.
template<class S, class T>
void sub_normalize_here (Element< S, T > &a)
 Sub-normalize a FMP transducer, in place version.
template<class S, class T>
bool is_sub_normalized (const Element< S, T > &a)
 Check if a FMP transducer is sub-normalized.
template<typename A, typename AI1, typename AI2>
void sum_here (Element< A, AI1 > &lhs, const Element< A, AI2 > &rhs)
 In place summing of two automata.
template<typename A, typename AI1, typename AI2>
Element< A, AI1 > sum (const Element< A, AI1 > &lhs, const Element< A, AI2 > &rhs)
 Summing of two automata.
template<typename A, typename T, typename Letter, typename Weight>
void thompson_of (Element< A, T > &out, const rat::exp< Letter, Weight > &kexp)
 The Thompson automaton associated to the krat expression.
template<typename AutoType, typename S, typename K, class T>
Element< Automata< S, K >
, AutoType > 		thompson_of (const Element< S, T > &exp)
 The Thompson automaton associated to the krat expression.
template<typename A, typename AI1, typename AI2>
void transpose (Element< A, AI1 > &dst, const Element< A, AI2 > &src)
 Transposition of an automaton.
template<typename A, typename AI>
Element< A, AI > transpose (const Element< A, AI > &src)
 Return a fresh transposed automaton.
template<typename A, typename AI>
std::set< typename Element< A,
AI >::hstate_t > 		useful_states (const Element< A, AI > &a)
 Returns a useful states of the automaton.
template<typename A, typename AI>
Element< A, AI > trim (const Element< A, AI > &a)
 Return a fresh automaton in which non useful states are removed.
template<typename A, typename AI>
void trim_here (Element< A, AI > &a)
 Trim a.
template<typename lhs_t, typename rhs_t, typename F>
void auto_translate_transitions (lhs_t &dst, const rhs_t &from, const F &translate_fun)
template<typename S, typename T>
bool op_contains (const Structure< S > &set, const T &value)
 Check whether a value is contained in a set.
template<typename S, typename T, typename U>
bool op_eq (const Structure< S > &, const T &v1, const U &v2)
 Equality between two structured values.
template<typename S, typename V, typename T, typename U>
bool op_eq (const Structure< S > &, const Structure< V > &, const T &v1, const U &v2)
 Equality between two structured values.
template<typename S, typename T, typename U>
bool op_lt (const Structure< S > &, const T &v1, const U &v2)
 Ordered comparison between two structured values.
template<typename S, typename V, typename T, typename U>
bool op_lt (const Structure< S > &, const Structure< V > &, const T &v1, const U &v2)
 Ordered comparison between two structured values.
template<typename S, typename R, typename T>
R op_convert (const Structure< S > &se, SELECTOR(R), const T &data)
 Default conversion between value types with computation.
template<typename S, typename T>
const T & op_convert (const Structure< S > &se, SELECTOR(T), const T &from_data)
 Pass-through conversion.
template<typename S, typename T>
const T & op_convert (const Structure< S > &se, SELECTOR(T), const Structure< S > &from_se, const T &from_data)
 Pass-through conversion between compatible structures.
template<typename S, typename T>
T op_default (const Structure< S > &se, SELECTOR(T))
 Default construction of values using Structure.
template<typename S, typename T>
void op_swap (const Structure< S > &se, T &v1, T &v2)
 Default swap operator.
template<typename S, typename T, typename U>
void op_assign (const Structure< S > &s, T &dst, const U &src)
 Assignement operator between two implementations of a Structure<S>.
template<typename S, typename T, typename U>
void op_assign (const Structure< S > &s1, const Structure< S > &s2, T &dst, const U &src)
 Assignement operator between two implementations of two differents structures.
template<typename S, typename T, typename U>
void op_in_add (const Structure< S > &s1, const Structure< S > &s2, T &dst, const U &arg)
 Addition in place operator between two different elements.
template<typename S, typename T, typename U>
void op_in_sub (const Structure< S > &s1, const Structure< S > &s2, T &dst, const U &arg)
 Substraction in place operator between two different elements.
template<typename S, typename T, typename U>
void op_in_mul (const Structure< S > &s1, const Structure< S > &s2, T &dst, const U &arg)
 Multiplication in place operator between two different elements.
template<typename S, typename T, typename U>
void op_in_div (const Structure< S > &s1, const Structure< S > &s2, T &dst, const U &arg)
 Division in place operator between two different elements.
template<typename S, typename T, typename U>
void op_in_mod (const Structure< S > &s1, const Structure< S > &s2, T &dst, const U &arg)
 Modulo in place operator between two different elements.
template<typename S, typename T, typename U>
T op_add (const Structure< S > &s1, const Structure< S > &s2, const T &v1, const U &v2)
 Addition operator between two different elements.
template<typename S, typename T, typename U>
T op_sub (const Structure< S > &s1, const Structure< S > &s2, const T &v1, const U &v2)
 Substraction operator between two different elements.
template<typename S, typename T, typename U>
T op_mul (const Structure< S > &s1, const Structure< S > &s2, const T &v1, const U &v2)
 Multiplication operator between two different elements.
template<typename S, typename T, typename U>
T op_div (const Structure< S > &s1, const Structure< S > &s2, const T &v1, const U &v2)
 Division operator between two different elements.
template<typename S, typename T, typename U>
T op_mod (const Structure< S > &s1, const Structure< S > &s2, const T &v1, const U &v2)
 Modulo operator between two different elements.
template<typename S, typename St, typename T>
St & op_rin (const Structure< S > &s, St &st, const T &v)
 Input stream operator.
template<typename S, typename St, typename T>
St & op_rout (const Structure< S > &s, St &st, const T &v)
 Output stream operator.
template<typename S1, typename T1, typename S2, typename T2>
static bool operator< (const vcsn::Element< S1, T1 > &e1, const vcsn::Element< S2, T2 > &e2)
 Comparison between Element instances.
template<typename S1, typename T1, typename S2, typename T2>
static bool operator> (const vcsn::Element< S1, T1 > &e1, const vcsn::Element< S2, T2 > &e2)
 Comparison between Element instances.
template<typename S1, typename T1, typename S2, typename T2>
static bool operator<= (const vcsn::Element< S1, T1 > &e1, const vcsn::Element< S2, T2 > &e2)
 Comparison between Element instances.
template<typename S1, typename T1, typename S2, typename T2>
static bool operator>= (const vcsn::Element< S1, T1 > &e1, const vcsn::Element< S2, T2 > &e2)
 Comparison between Element instances.
template<typename S, typename T, typename U>
static bool operator< (const vcsn::Element< S, T > &e, const U &v)
 Comparison between Element and foreign values (left version).
template<typename S, typename T, typename U>
static bool operator> (const vcsn::Element< S, T > &e, const U &v)
 Comparison between Element and foreign values (left version).
template<typename S, typename T, typename U>
static bool operator>= (const vcsn::Element< S, T > &e, const U &v)
 Comparison between Element and foreign values (left version).
template<typename S, typename T, typename U>
static bool operator<= (const vcsn::Element< S, T > &e, const U &v)
 Comparison between Element and foreign values (left version).
template<typename U, typename S, typename T>
static bool operator< (const U &v, const vcsn::Element< S, T > &e)
 Comparison between Element and foreign values (right version).
template<typename U, typename S, typename T>
static bool operator> (const U &v, const vcsn::Element< S, T > &e)
 Comparison between Element and foreign values (right version).
template<typename U, typename S, typename T>
static bool operator>= (const U &v, const vcsn::Element< S, T > &e)
 Comparison between Element and foreign values (right version).
template<typename U, typename S, typename T>
static bool operator<= (const U &v, const vcsn::Element< S, T > &e)
 Comparison between Element and foreign values (right version).
template<typename S1, typename T1, typename S2, typename T2>
static bool operator== (const vcsn::Element< S1, T1 > &e1, const vcsn::Element< S2, T2 > &e2)
 Equality between Element instances.
template<typename S, typename T, typename U>
static bool operator== (const vcsn::Element< S, T > &e, const U &v)
 Equality between Element and foreign values (left version).
template<typename U, typename S, typename T>
static bool operator== (const U &v, const vcsn::Element< S, T > &e)
 Equality between Element and foreign values (right version).
template<typename S1, typename T1, typename S2, typename T2>
static bool operator!= (const vcsn::Element< S1, T1 > &e1, const vcsn::Element< S2, T2 > &e2)
 Difference between Element instances.
template<typename S, typename T, typename U>
static bool operator!= (const vcsn::Element< S, T > &e, const U &v)
 Difference between Element and foreign values (left version).
template<typename U, typename S, typename T>
static bool operator!= (const U &v, const vcsn::Element< S, T > &e)
 Difference between Element and foreign values (right version).
template<typename S1, typename T1, typename S2, typename T2>
static vcsn::op_add_traits< S1,
S2, T1, T2 >::ret_t 		operator+ (const vcsn::Element< S1, T1 > &e1, const vcsn::Element< S2, T2 > &e2)
 Addition between Element instances.
template<typename S, typename T, typename U>
static vcsn::Element< S, T > operator+ (const vcsn::Element< S, T > &e, const U &v)
 Addition between Element and foreign values (left).
template<typename U, typename S, typename T>
static vcsn::Element< S, T > operator+ (const U &v, const vcsn::Element< S, T > &e)
 Addition between Element and foreign values (right).
template<typename S1, typename T1, typename S2, typename T2>
static vcsn::op_sub_traits< S1,
S2, T1, T2 >::ret_t 		operator- (const vcsn::Element< S1, T1 > &e1, const vcsn::Element< S2, T2 > &e2)
 Substraction between Element instances.
template<typename S, typename T, typename U>
static vcsn::Element< S, T > operator- (const vcsn::Element< S, T > &e, const U &v)
 Substraction between Element and foreign values (left).
template<typename U, typename S, typename T>
static vcsn::Element< S, T > operator- (const U &v, const vcsn::Element< S, T > &e)
 Substraction between Element and foreign values (right).
template<typename S1, typename T1, typename S2, typename T2>
static vcsn::op_mul_traits< S1,
S2, T1, T2 >::ret_t 		operator* (const vcsn::Element< S1, T1 > &e1, const vcsn::Element< S2, T2 > &e2)
 Multiplication between Element instances.
template<typename S, typename T, typename U>
static vcsn::Element< S, T > operator* (const vcsn::Element< S, T > &e, const U &v)
 Multiplication between Element and foreign values (left).
template<typename U, typename S, typename T>
static vcsn::Element< S, T > operator* (const U &v, const vcsn::Element< S, T > &e)
 Multiplication between Element and foreign values (right).
template<typename S1, typename T1, typename S2, typename T2>
static vcsn::op_div_traits< S1,
S2, T1, T2 >::ret_t 		operator/ (const vcsn::Element< S1, T1 > &e1, const vcsn::Element< S2, T2 > &e2)
 Division between Element instances.
template<typename S, typename T, typename U>
static vcsn::Element< S, T > operator/ (const vcsn::Element< S, T > &e, const U &v)
 Division between Element and foreign values (left).
template<typename U, typename S, typename T>
static vcsn::Element< S, T > operator/ (const U &v, const vcsn::Element< S, T > &e)
 Division between Element and foreign values (right).
template<typename S1, typename T1, typename S2, typename T2>
static vcsn::op_mod_traits< S1,
S2, T1, T2 >::ret_t 		operator% (const vcsn::Element< S1, T1 > &e1, const vcsn::Element< S2, T2 > &e2)
 Modulus between Element instances.
template<typename S, typename T, typename U>
static vcsn::Element< S, T > operator% (const vcsn::Element< S, T > &e, const U &v)
 Modulus between Element and foreign values (left).
template<typename U, typename S, typename T>
static vcsn::Element< S, T > operator% (const U &v, const vcsn::Element< S, T > &e)
 Modulus between Element and foreign values (right.
template<typename S, typename T>
static vcsn::Element< S, T > operator- (const vcsn::Element< S, T > &)
 Unary negation of Element instances.
template<typename St, typename S, typename T>
static St & operator<< (St &s, const vcsn::Element< S, T > &e)
 Output to stream.
template<typename St, typename S, typename T>
static St & operator>> (St &s, const vcsn::Element< S, T > &e)
 Input from stream.
Determinization algorithms
template<typename A, typename AI>
Element< A, AI > determinize (const Element< A, AI > &a)
 Build a deterministic automaton from a Boolean automaton.
template<typename A, typename AI>
Element< A, AI > determinize (const Element< A, AI > &a, std::map< typename Element< A, AI >::hstate_t, std::set< typename Element< A, AI >::hstate_t > > &m)
 Build a deterministic automaton from a Boolean automaton, keeping trace of state-to-states correspondences.
FMP automaton to rational weight transducer algorithm.
Compute the equivalent Rational Weight transducer of a FMP automaton.

Please note that for the moment this function works only if the support of each transition is finite.

Algorithm : If the FMP contains transitions with "complex" expression (E), i.e. infinite support, then Thompson of E. With the resulting automaton apply a conversion. i.e. (a,x) -> a|x

template<typename S, typename T, typename SS, typename TT>
Element< SS, TT > & fmp_to_rw (const Element< S, T > &fmp, Element< SS, TT > &res)
Letter-to-letter FMP automaton to pair letter automaton algorithm.
Compute the pair letter automaton associated to an ltl FMP automaton.

template<typename S, typename T>
void ltl_to_pair (const Element< S, T > &ltl, typename mute_ltl_to_pair< S, T >::ret &res)
template<typename S, typename T>
mute_ltl_to_pair< S, T >::ret ltl_to_pair (const Element< S, T > &ltl)
Pair letter automaton to FMP transducer algorithm.
Compute the FMP transducer associated to a pair letter automaton.

template<typename S, typename T>
void pair_to_fmp (const Element< S, T > &aut, typename mute_pair_to_fmp< S, T >::ret &res)
template<typename S, typename T>
mute_pair_to_fmp< S, T >::ret pair_to_fmp (const Element< S, T > &aut)
Product algorithm
Returns a fresh automaton that is the product of the two input ones.

Precondition:
The two input automata must be realtime.


template<typename A, typename T, typename U>
Element< A, T > product (const Element< A, T > &lhs, const Element< A, U > &rhs, const bool use_geometry=false)
template<typename A, typename T, typename U>
Element< A, T > product (const Element< A, T > &lhs, const Element< A, U > &rhs, std::map< typename T::hstate_t, std::pair< typename T::hstate_t, typename U::hstate_t > > &, const bool use_geometry=false)
Rational Weight transducer to FMP automaton conversion
template<typename S, typename T, typename SS, typename TT>
Element< SS, TT > & rw_to_fmp (const Element< S, T > &trans, Element< SS, TT > &res)
 Compute the equivalent FMP automaton of a Rational Weight transducer.
Default operation on automata.
template<typename S, typename R, typename T>
R op_convert (const AutomataBase< S > &se, SELECTOR(R), const T &data)
 Default conversion between value types with computation.
template<typename S, typename T>
const T & op_convert (const AutomataBase< S > &, SELECTOR(T), const T &from_data)
 Default conversion between value types with computation.
template<typename S, typename T, typename U>
void op_assign (const AutomataBase< S > &s, T &dst, const U &src)
 Assignement operator between two implementations of a Structure<S>.
template<typename S, typename T>
void op_assign (const AutomataBase< S > &concept, T &dst, const T &src)
 Default conversion between value types with computation.
template<class S, class T>
const automaton_traits< T >
::tag_t & 		op_get_tag (const AutomataBase< S > &, const T &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >::tag_t & op_get_tag (const AutomataBase< S > &, T &)
 Default conversion between value types with computation.
template<class S, class T>
const automaton_traits< T >
::geometry_t & 		op_get_geometry (const AutomataBase< S > &, const T &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >::geometry_t & op_get_geometry (const AutomataBase< S > &, T &)
 Default conversion between value types with computation.
template<class S, class T>
bool op_exists (const AutomataBase< S > &s, const T &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >::states_t op_states (const AutomataBase< S > &, const T &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >::hstate_t op_get_state (const AutomataBase< S > &, const T &, int state)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::transitions_t 		op_transitions (const AutomataBase< S > &, const T &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::initial_support_t 		op_initial (const AutomataBase< S > &, const T &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::final_support_t 		op_final (const AutomataBase< S > &, const T &)
 Default conversion between value types with computation.
template<class S, class T>
void op_set_initial (const AutomataBase< S > &, T &, const typename automaton_traits< T >::hstate_t &state, const typename Element< S, T >::series_set_elt_t &s)
 Default conversion between value types with computation.
template<class S, class T>
Element< S, T >::series_set_elt_t op_get_initial (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::hstate_t &state)
 Default conversion between value types with computation.
template<class S, class T>
bool op_is_initial (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::hstate_t &state)
 Default conversion between value types with computation.
template<class S, class T>
void op_set_final (const AutomataBase< S > &, T &, const typename automaton_traits< T >::hstate_t &state, const typename Element< S, T >::series_set_elt_t &s)
 Default conversion between value types with computation.
template<class S, class T>
Element< S, T >::series_set_elt_t op_get_final (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::hstate_t &state)
 Default conversion between value types with computation.
template<class S, class T>
bool op_is_final (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::hstate_t &state)
 Default conversion between value types with computation.
template<class S, class T>
void op_set_initial (const AutomataBase< S > &, T &, int state, const typename Element< S, T >::series_set_elt_t &s)
 Default conversion between value types with computation.
template<class S, class T>
Element< S, T >::series_set_elt_t op_get_initial (const AutomataBase< S > &, const T &, int state)
 Default conversion between value types with computation.
template<class S, class T>
bool op_is_initial (const AutomataBase< S > &, const T &, int state)
 Default conversion between value types with computation.
template<class S, class T>
void op_set_final (const AutomataBase< S > &, T &, int state, const typename Element< S, T >::series_set_elt_t &s)
 Default conversion between value types with computation.
template<class S, class T>
Element< S, T >::series_set_elt_t op_get_final (const AutomataBase< S > &, const T &, int state)
 Default conversion between value types with computation.
template<class S, class T>
bool op_is_final (const AutomataBase< S > &, const T &, int state)
 Default conversion between value types with computation.
template<class S, class T>
void op_clear_initial (const AutomataBase< S > &, T &)
 Default conversion between value types with computation.
template<class S, class T>
void op_clear_final (const AutomataBase< S > &, T &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >::hstate_t op_add_state (const AutomataBase< S > &, T &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >::hstate_t op_choose_state (const AutomataBase< S > &, T &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::htransition_t 		op_add_transition (const AutomataBase< S > &, T &, const typename automaton_traits< T >::hstate_t &from, const typename automaton_traits< T >::hstate_t &to, const typename Element< S, T >::label_t &label)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::htransition_t 		op_add_weighted_transition (const AutomataBase< S > &, T &, const typename automaton_traits< T >::hstate_t &from, const typename automaton_traits< T >::hstate_t &to, const typename Element< S, T >::semiring_elt_t &w, const typename Element< S, T >::monoid_elt_value_t &m)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::htransition_t 		op_add_series_transition (const AutomataBase< S > &, T &, const typename automaton_traits< T >::hstate_t &from, const typename automaton_traits< T >::hstate_t &to, const typename Element< S, T >::series_set_elt_t &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::htransition_t 		op_add_spontaneous (const AutomataBase< S > &, T &, const typename automaton_traits< T >::hstate_t &from, const typename automaton_traits< T >::hstate_t &to, const typename Element< S, T >::semiring_elt_t &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::htransition_t 		op_add_letter_transition (const AutomataBase< S > &, T &, const typename automaton_traits< T >::hstate_t &from, const typename automaton_traits< T >::hstate_t &to, const typename Element< S, T >::letter_t &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::htransition_t 		op_add_transition (const AutomataBase< S > &, T &, int from, int to, const typename Element< S, T >::label_t &label)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::htransition_t 		op_add_weighted_transition (const AutomataBase< S > &, T &, int from, int to, const typename Element< S, T >::semiring_elt_t &w, const typename Element< S, T >::monoid_elt_value_t &m)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::htransition_t 		op_add_series_transition (const AutomataBase< S > &, T &, int from, int to, const typename Element< S, T >::series_set_elt_t &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::htransition_t 		op_add_spontaneous (const AutomataBase< S > &, T &, int from, int to, const typename Element< S, T >::semiring_elt_t &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >
::htransition_t 		op_add_letter_transition (const AutomataBase< S > &, T &, int from, int to, const typename Element< S, T >::letter_t &)
 Default conversion between value types with computation.
template<class S, class T>
void op_update (const AutomataBase< S > &, T &, const typename automaton_traits< T >::htransition_t &, const typename Element< S, T >::label_t &l)
 Default conversion between value types with computation.
template<class S, class T>
void op_del_state (const AutomataBase< S > &, T &, const typename automaton_traits< T >::hstate_t &)
 Default conversion between value types with computation.
template<class S, class T>
void op_del_state (const AutomataBase< S > &, T &, int)
 Default conversion between value types with computation.
template<class S, class T>
void op_del_transition (const AutomataBase< S > &, T &, const typename automaton_traits< T >::htransition_t &)
 Default conversion between value types with computation.
template<class S, class T>
bool op_has_state (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::hstate_t &)
 Default conversion between value types with computation.
template<class S, class T>
bool op_has_state (const AutomataBase< S > &, const T &, int)
 Default conversion between value types with computation.
template<class S, class T>
bool op_has_transition (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::htransition_t &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >::hstate_t op_src_of (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::htransition_t &)
 Default conversion between value types with computation.
template<class S, class T>
automaton_traits< T >::hstate_t op_dst_of (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::htransition_t &)
 Default conversion between value types with computation.
template<class S, class T>
Element< S, T >::label_t op_label_of (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::htransition_t &)
 Default conversion between value types with computation.
template<class S, class T>
const Element< S, T >
::series_set_elt_t 		op_series_of (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::htransition_t &)
 Default conversion between value types with computation.
template<class S, class T>
Element< S, T >
::series_set_elt_value_t 		op_series_value_of (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::htransition_t &)
 Default conversion between value types with computation.
template<class S, class T>
Element< S, T >::monoid_elt_t op_word_of (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::htransition_t &)
 Default conversion between value types with computation.
template<class S, class T>
Element< S, T >::semiring_elt_t op_weight_of (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::htransition_t &)
 Default conversion between value types with computation.
template<class S, class T>
Element< S, T >::monoid_elt_value_t op_word_value_of (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::htransition_t &)
 Default conversion between value types with computation.
template<class S, class T>
Element< S, T >::letter_t op_letter_of (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::htransition_t &)
 Default conversion between value types with computation.
template<class S, class T>
bool op_is_spontaneous (const AutomataBase< S > &, const T &, const typename automaton_traits< T >::htransition_t &)
 Default conversion between value types with computation.
template<class S, class T>
Element< S, TransposeView< T > > transpose_view (Element< S, T > &)
 This function creates a transposed view of an automaton.
template<class S, class T>
const Element< S,
TransposeView< T > > 		transpose_view (const Element< S, T > &)
 This function creates a transposed view of an automaton.
template<class S, class T>
automaton_traits
< TransposeView< T >
>::initial_support_t 		op_initial (const AutomataBase< S > &, const TransposeView< T > &)
 Operations on automata implemented with TransposeView.
template<class S, class T>
automaton_traits
< TransposeView< T >
>::final_support_t 		op_final (const AutomataBase< S > &, const TransposeView< T > &)
 Operations on automata implemented with TransposeView.
template<class S, class T>
void op_set_initial (const AutomataBase< S > &, TransposeView< T > &, const typename automaton_traits< T >::hstate_t &state, const typename Element< S, TransposeView< T > >::series_set_elt_t &s)
 Operations on automata implemented with TransposeView.
template<class S, class T>
Element< S, TransposeView< T >
>::series_set_elt_t 		op_get_initial (const AutomataBase< S > &, const TransposeView< T > &, const typename automaton_traits< T >::hstate_t &)
 Operations on automata implemented with TransposeView.
template<class S, class T>
void op_set_final (const AutomataBase< S > &, TransposeView< T > &, const typename automaton_traits< T >::hstate_t &state, const typename Element< S, T >::series_set_elt_t &s)
 Operations on automata implemented with TransposeView.
template<class S, class T>
Element< S, T >::series_set_elt_t op_get_final (const AutomataBase< S > &, const TransposeView< T > &, const typename automaton_traits< T >::hstate_t &state)
 Operations on automata implemented with TransposeView.
template<class S, class T>
void op_clear_initial (const AutomataBase< S > &, TransposeView< T > &)
 Operations on automata implemented with TransposeView.
template<class S, class T>
void op_clear_final (const AutomataBase< S > &, TransposeView< T > &)
 Operations on automata implemented with TransposeView.
template<class S, class T>
automaton_traits< T >::hstate_t op_src_of (const AutomataBase< S > &, const TransposeView< T > &, const typename automaton_traits< T >::htransition_t &)
 Operations on automata implemented with TransposeView.
template<class S, class T>
automaton_traits< T >::hstate_t op_dst_of (const AutomataBase< S > &, const TransposeView< T > &, const typename automaton_traits< T >::htransition_t &)
 Operations on automata implemented with TransposeView.
Inequality operator for Structures.
Calls equality operator of sub-class.

template<typename S>
bool operator!= (const vcsn::Structure< S > &a, const vcsn::Structure< S > &b)

Detailed Description

The main namespace of the Vaucanson library.

Bug:
FIXME: misc::limits should be removed, or std::numeric_limits should not be used/specialized.

Enumeration Type Documentation

enum op_choose_max_word_length_t

Maximum length of words generated by op_choose.

To retrieve this information, just use the value named with op_choose_max_word_length.

Definition at line 130 of file free_monoid.hh.

Function Documentation

linearize_element<S, T>::alphabet_t vcsn::linearized_alphabet ( const Element< S, T > &  exp  )  [inline]

Computes a linearized alphabet from a rational expression.

This function returns a linearized alphabet corresponding to a rational expression, with an extra zero-letter in it.

Parameters:
exp The expression to work on.
Author:
Loic Fosse <loic@lrde.epita.fr>
See also:
linearize()

Definition at line 49 of file berry_sethi.hxx.

References linearize().

Exp vcsn::linear_exp_continuation ( const Exp &  exp,
const Letter &  l 
) [inline]

This function computes a continuation on linearized expressions.

This include the case when letter is zero.

Parameters:
exp The expression to work on.
l The letter used to compute the derivation.
Author:
Loic Fosse <loic@lrde.epita.fr>

Definition at line 71 of file berry_sethi.hxx.

References derivate(), and SELECT.

Referenced by BerrySethiAlgo::delta(), and BerrySethiAlgo::is_final().

bool is_cut_up ( const Element< A, AI > &  a  )  [inline]

Check if labels are series with one element.

  • a Input automaton.
    Returns:
    is cut-up.

Definition at line 37 of file cut_up.hxx.

Element< A, AI > cut_up ( const Element< A, AI > &  a  )  [inline]

Transform an automaton labeled with series to an automaton where all labels are series with one and only one element.

Note:
No cut-up work is done on input and output transitions.
Works on all automata and transducers labeled with polynomial series, and on automata labeled with rational series.

  • a Input automaton.
    Returns:
    Output automaton.

Definition at line 160 of file cut_up.hxx.

References Element::structure().

Referenced by cut_up_here().

void cut_up ( const Element< A, AI > &  a,
Element< A, AI > &  res 
) [inline]

Transform an automaton labeled with series to an automaton where all labels are series with one and only one element.

Note:
No cut-up work is done on input and output transitions.
Works on all automata and transducers labeled with polynomial series, and on automata labeled with rational series.

  • a Input automaton.
  • res Output automaton.

Definition at line 150 of file cut_up.hxx.

References SELECT, and Element::structure().

void cut_up_here ( Element< A, AI > &  a  )  [inline]

Transform an automaton labeled with series to an automaton where all labels are series with one and only one element.

Note:
No cut-up work is done on input and output transitions.
Works on all automata and transducers labeled with polynomial series, and on automata labeled with rational series.

  • a Input automaton.

Definition at line 170 of file cut_up.hxx.

References cut_up().

output_projection_helper<S, T>::ret vcsn::image ( const Element< S, T > &  src  )  [inline]

bool has_successors ( const Element< A, T > &  a,
const typename automaton_traits< T >::hstate_t  s 
) [inline]

Whether a state has successors.

Parameters:
a Automaton.
s State.
Returns:
True is the state s has successors.

Definition at line 26 of file has_neighbour.hxx.

References Element::value().

bool has_predecessors ( const Element< A, T > &  a,
const typename automaton_traits< T >::hstate_t  s 
) [inline]

Whether a state has predecessors.

Parameters:
a Automaton.
s State.
Returns:
True is the state s has predecessors.

Definition at line 37 of file has_neighbour.hxx.

References Element::value().

void vcsn::invert ( const Element< A, T > &  t,
Element< A, T > &  res 
) [inline]

Invert a transducer.

Parameters:
t Input transducer.
res Inverse transducer.

Element<A, T>& vcsn::invert ( const Element< A, T > &  t  )  [inline]

Invert a transducer.

Parameters:
t Input transducer.
Returns:
Inverse transducer.

void vcsn::do_compose ( const AutomataBase< S > &  ,
const algebra::FreeMonoidProduct< M1, M2 > &  ,
const lhs_t &  lhs,
const rhs_t &  rhs,
res_t &  ret 
) [inline]

Ambiguous composition.

Works only for boolean transducers.

Definition at line 337 of file normalized_composition.hxx.

References compose().

void vcsn::do_u_compose ( const AutomataBase< S > &  ,
const algebra::FreeMonoidProduct< M1, M2 > &  ,
const lhs_t &  lhs,
const rhs_t &  rhs,
res_t &  ret 
) [inline]

Unambiguous composition.

Works with all type of weighted transducers.

Definition at line 359 of file normalized_composition.hxx.

References compose(), eps_removal_here(), sub_automaton_here(), and useful_states().

Element< A, AI > reduce ( const Element< A, AI > &  a,
misc::direction_type  dir = misc::right_left 
) [inline]

Reduce of an automaton (default right_left).

This algorithm computes the reduce representation of an automaton with weights in a division ring.

It is based on the explanation made by Sylvain Lombardy. A technical report about this algorithm is available here : http://www.lrde.epita.fr/cgi-bin/twiki/view/Publications/200901-Seminar-Delmon Proof and explanations are also available in ETA Chapter 3, Sec 4.3

Parameters:
a The weighted automaton to reduce.
dir The order in which reductions are computed.
Precondition:
The automaton a must be realtime.

The weights of the automaton a must be defined in a division ring.

See also:
reduce_here()
Author:
Vivien Delmon

Definition at line 342 of file reduce.hxx.

References is_realtime(), and Element::structure().

void reduce_here ( Element< A, AI > &  a,
misc::direction_type  dir = misc::right_left 
) [inline]

In place reduce of an automaton (default right_left).

This algorithm computes the reduce representation of an automaton with weights in a division ring.

It is based on the explanation made by Sylvain Lombardy. A technical report about this algorithm is available here : http://www.lrde.epita.fr/cgi-bin/twiki/view/Publications/200901-Seminar-Delmon Proof and explanations are also available in ETA Chapter 3, Sec 4.3

Parameters:
a The weighted automaton to reduce.
dir The order in which reductions are computed.
Precondition:
The automaton a must be realtime.

The weights of the automaton a must be defined in a division ring.

See also:
reduce()
Author:
Vivien Delmon

Definition at line 360 of file reduce.hxx.

References is_realtime().

void auto_translate_transitions ( lhs_t &  dst,
const rhs_t &  from,
const F &  translate_fun 
) [inline]

Bug:
Write documentation and tests.

Definition at line 27 of file translate.hxx.

Element<S, TransposeView<T> > vcsn::transpose_view ( Element< S, T > &  a  )  [inline]

This function creates a transposed view of an automaton.

See also:
transpose(), TransposeView

Referenced by transpose().

const Element<S, TransposeView<T> > vcsn::transpose_view ( const Element< S, T > &  a  )  [inline]

This function creates a transposed view of an automaton.

See also:
transpose(), TransposeView

automaton_traits< TransposeView< T > >::initial_support_t op_initial ( const AutomataBase< S > &  s,
const TransposeView< T > &  v 
) [inline]

Operations on automata implemented with TransposeView.

Definition at line 276 of file transpose_view.hxx.

References IdentityView::object(), and op_final().

automaton_traits< TransposeView< T > >::final_support_t op_final ( const AutomataBase< S > &  s,
const TransposeView< T > &  v 
) [inline]

Operations on automata implemented with TransposeView.

Definition at line 283 of file transpose_view.hxx.

References IdentityView::object(), and op_initial().

void op_set_initial ( const AutomataBase< S > &  ss,
TransposeView< T > &  v,
const typename automaton_traits< T >::hstate_t &  state,
const typename Element< S, TransposeView< T > >::series_set_elt_t &  s 
) [inline]

Operations on automata implemented with TransposeView.

Definition at line 290 of file transpose_view.hxx.

References IdentityView::object(), and op_set_final().

Element< S, TransposeView< T > >::series_set_elt_t op_get_initial ( const AutomataBase< S > &  s,
const TransposeView< T > &  v,
const typename automaton_traits< T >::hstate_t &  state 
) [inline]

Operations on automata implemented with TransposeView.

Definition at line 299 of file transpose_view.hxx.

References op_get_final().

void vcsn::op_set_final ( const AutomataBase< S > &  ss,
TransposeView< T > &  v,
const typename automaton_traits< T >::hstate_t &  state,
const typename Element< S, T >::series_set_elt_t &  s 
) [inline]

Operations on automata implemented with TransposeView.

Element< S, T >::series_set_elt_t op_get_final ( const AutomataBase< S > &  s,
const TransposeView< T > &  v,
const typename automaton_traits< T >::hstate_t &  state 
) [inline]

Operations on automata implemented with TransposeView.

Definition at line 319 of file transpose_view.hxx.

References IdentityView::object(), and op_get_initial().

void op_clear_initial ( const AutomataBase< S > &  s,
TransposeView< T > &  v 
) [inline]

Operations on automata implemented with TransposeView.

Definition at line 331 of file transpose_view.hxx.

References IdentityView::object(), and op_clear_final().

void op_clear_final ( const AutomataBase< S > &  s,
TransposeView< T > &  v 
) [inline]

Operations on automata implemented with TransposeView.

Definition at line 338 of file transpose_view.hxx.

References IdentityView::object(), and op_clear_initial().

automaton_traits< T >::hstate_t op_src_of ( const AutomataBase< S > &  s,
const TransposeView< T > &  v,
const typename automaton_traits< T >::htransition_t &  e 
) [inline]

Operations on automata implemented with TransposeView.

Definition at line 345 of file transpose_view.hxx.

References IdentityView::object(), and op_dst_of().

automaton_traits< T >::hstate_t op_dst_of ( const AutomataBase< S > &  s,
const TransposeView< T > &  v,
const typename automaton_traits< T >::htransition_t &  e 
) [inline]

Operations on automata implemented with TransposeView.

Definition at line 354 of file transpose_view.hxx.

References IdentityView::object(), and op_src_of().

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