#include <expansionset.hh>

Inheritance diagram for vcsn::rat::expansionset< ExpSet >:

Collaboration diagram for vcsn::rat::expansionset< ExpSet >:

Classes
struct	tuple_impl
	Denormalize a pack of one-tape expansions. More...

struct	value_t
	An expansion. More...

Public Types
using	expressionset_t = ExpSet

using	self_t = expansionset

using	context_t = context_t_of< expressionset_t >

using	labelset_t = labelset_t_of< context_t >

using	label_t = label_t_of< context_t >

using	expression_t = typename expressionset_t::value_t

using	weightset_t = weightset_t_of< expressionset_t >

using	weight_t = typename weightset_t::value_t

using	polynomialset_t = expression_polynomialset_t< expressionset_t >

using	polynomial_t = typename polynomialset_t::value_t

using	monomial_t = typename polynomialset_t::monomial_t

using	polys_t = std::map< label_t, polynomial_t, vcsn::less< labelset_t > >

template<unsigned Tape>
using	project_t = expansionset< typename expressionset_t::template project_t< Tape > >
	The type of the expansionset for tape Tape. More...

Public Member Functions
	expansionset (const expressionset_t &rs)

const expressionset_t &	expressionset () const
	The expressionset. More...

const polynomialset_t &	polynomialset () const
	The polynomialset. More...

const context_t &	context () const
	The context. More...

std::ostream &	print_set (std::ostream &o, format fmt={}) const
	Print this valueset. More...

std::ostream &	print (const value_t &v, std::ostream &o=std::cout, format fmt={}) const
	Print this expansion. More...

bool	is_normal (const value_t &x) const
	Whether an expansion is normal. More...

value_t &	normalize (value_t &res) const
	Normalize: eliminate null polynomials and move the constant term from the label one. More...

value_t &	normalize_ (value_t &res, std::true_type) const
	Normalize res. More...

value_t &	normalize_ (value_t &res, std::false_type) const
	Normalize when there is no label one: identity. More...

value_t &	denormalize (value_t &res) const
	Move the constant to the polynomial associated to one. More...

value_t &	denormalize_ (value_t &res, std::true_type) const
	Denormalize res move the constant to the polynomial associated to one. More...

value_t &	denormalize_ (value_t &res, std::false_type) const
	Denormalize when there is no label one: identity. More...

template<typename OtherExpSet >
value_t	conv (const expansionset< OtherExpSet > &other, const typename expansionset< OtherExpSet >::value_t &v) const
	Convert from another expansionset to self. More...

value_t	zero () const
	The zero. More...

value_t	one () const
	The one. More...

value_t	atom (const label_t &l) const
	A single label. More...

void	add_here (value_t &lhs, const value_t &rhs) const
	In place addition. More...

value_t	add (value_t res, const value_t &rhs) const
	Addition. More...

value_t	lweight (const weight_t &w, value_t res) const
	Left-multiplication by w of rhs. More...

value_t &	lweight_here (const weight_t &w, value_t &res) const
	Inplace left-multiplication by w of res. More...

value_t	rweight (const value_t &lhs, const weight_t &w) const
	Right-multiplication of lhs by w. More...

value_t &	rmul_label_here (value_t &res, const expression_t &rhs) const
	In place right multiplication by an expression. More...

value_t &	ldivide_here (const weight_t &w, value_t &res) const
	Inplace left-division by w of res. More...

value_t	conjunction (const value_t &l, const value_t &r) const
	The conjunction of l and r. More...

value_t	shuffle (const value_t &de, const expression_t &e, const value_t &df, const expression_t &f) const
	The shuffle product of de and df. More...

value_t	infiltrate (const value_t &de, const expression_t &e, const value_t &df, const expression_t &f) const
	The infiltration product of l and r. More...

value_t	complement (const value_t &v) const
	The complement of v. More...

value_t	transpose (const value_t &v) const
	Transpose an expansion. The firsts must be reduced to one. More...

value_t	ldivide (value_t lhs, value_t rhs) const

value_t	determinize (const value_t &v) const
	Turn the polynomials into (normalized) monomials. More...

template<unsigned Tape>
auto	project () const -> project_t< Tape >
	The expansionset for tape Tape. More...

template<typename... Expansions>
auto	tuple (Expansions &&... es) const -> value_t
	The tuplization of single-tape expansions into a multitape expansion. More...

template<size_t Tape>
auto	project (const value_t &v) const
	Project a multitape expansion. More...

void	compose_with_one_ (value_t &, const value_t &, const value_t &, std::false_type) const

void	compose_with_one_ (value_t &res, const value_t &l, const value_t &r, std::true_type) const

void	compose_with_one_old_ (value_t &res, const value_t &l, const value_t &r) const

void	compose_with_one_new_ (value_t &res, const value_t &l, const value_t &r) const

template<typename Ctx = context_t>
auto	compose (value_t l, value_t r) const -> std::enable_if_t< are_composable< Ctx, Ctx >() &&number_of_tapes< Ctx >::value==2, value_t >
	The composition of l and r. More...

Static Public Member Functions
static constexpr const char *	me ()

static symbol	sname ()
	The static name. More...

static value_t	conv (self_t, const value_t &v)
	Conversion from (this and) other weightsets. More...

Private Member Functions
template<typename Conjunction >
void	conjunctions_with_one_ (value_t &, const value_t &, const value_t &, std::false_type, Conjunction) const

template<typename Conjunction >
void	conjunctions_with_one_ (value_t &res, const value_t &l, const value_t &r, std::true_type, Conjunction conjunction) const

template<typename LabelSet = labelset_t, typename Conjunction >
auto	conjunction_ (value_t l, value_t r, Conjunction conjunction) const -> std::enable_if_t< detail::is_letterized_t< LabelSet >
	The conjunction of l and r. More...

	denormalize (r)

	for (const auto &p:zip_maps(l.polynomials, r.polynomials)) res.polynomials[p.first]

	conjunctions_with_one_ (res, l, r, has_one, conjunction)

	normalize (res)

template<typename LabelSet = labelset_t, typename Conjunction >
auto	conjunction_ (const value_t &lhs, const value_t &rhs, Conjunction conjunction) const -> std::enable_if_t<!detail::is_letterized_t< LabelSet >
	The conjunction of l and r. More...

	for (const auto &l:lhs.polynomials) for(const auto &r

	normalize (res)

template<typename Shuffle >
value_t &	shuffle_ (value_t &res, const value_t &lhs_xpn, const expression_t &lhs_xpr, const value_t &rhs_xpn, const expression_t &rhs_xpr, Shuffle shuffle) const
	The shuffle product of l and r. More...

template<bool IsLetterized>
std::enable_if_t<!IsLetterized, value_t >	complement_ (const value_t &) const
	Complement on an invalid labelset. More...

template<bool IsLetterized>
std::enable_if_t< IsLetterized, value_t >	complement_ (const value_t &v) const
	Complement on a letterized labelset. More...

Private Attributes
	value_t

auto	res = value_t{ws_.mul(l.constant, r.constant)}

auto	has_one = bool_constant<context_t::has_one()>()

return	res

expressionset_t	rs_
	The expressionset used for the expressions. More...

const labelset_t &	ls_ = *rs_.labelset()
	Shorthand to the labelset. More...

const weightset_t &	ws_ = *rs_.weightset()
	Shorthand to the weightset. More...

polynomialset_t	ps_ = make_expression_polynomialset(rs_)
	The polynomialset for the polynomials. More...

bool	old_way_ = !!getenv("VCSN_OLDWAY")
	Whether to running the old composition code. More...

bool	denorm_ = old_way_ \|\| !!getenv("VCSN_DENORM")
	Denormalize if requested explicitly, or if running the old way. More...

Detailed Description

template<typename ExpSet>
struct vcsn::rat::expansionset< ExpSet >

Definition at line 21 of file expansionset.hh.

Member Typedef Documentation

◆ context_t

template<typename ExpSet>

using vcsn::rat::expansionset< ExpSet >::context_t = context_t_of<expressionset_t>

Definition at line 26 of file expansionset.hh.

◆ expression_t

template<typename ExpSet>

using vcsn::rat::expansionset< ExpSet >::expression_t = typename expressionset_t::value_t

Definition at line 29 of file expansionset.hh.

◆ expressionset_t

template<typename ExpSet>

using vcsn::rat::expansionset< ExpSet >::expressionset_t = ExpSet

Definition at line 24 of file expansionset.hh.

◆ label_t

template<typename ExpSet>

using vcsn::rat::expansionset< ExpSet >::label_t = label_t_of<context_t>

Definition at line 28 of file expansionset.hh.

◆ labelset_t

template<typename ExpSet>

using vcsn::rat::expansionset< ExpSet >::labelset_t = labelset_t_of<context_t>

Definition at line 27 of file expansionset.hh.

◆ monomial_t

template<typename ExpSet>

using vcsn::rat::expansionset< ExpSet >::monomial_t = typename polynomialset_t::monomial_t

Definition at line 35 of file expansionset.hh.

◆ polynomial_t

template<typename ExpSet>

using vcsn::rat::expansionset< ExpSet >::polynomial_t = typename polynomialset_t::value_t

Definition at line 34 of file expansionset.hh.

◆ polynomialset_t

template<typename ExpSet>

using vcsn::rat::expansionset< ExpSet >::polynomialset_t = expression_polynomialset_t<expressionset_t>

Definition at line 33 of file expansionset.hh.

◆ polys_t

template<typename ExpSet>

using vcsn::rat::expansionset< ExpSet >::polys_t = std::map<label_t, polynomial_t, vcsn::less<labelset_t> >

Definition at line 42 of file expansionset.hh.

◆ project_t

template<typename ExpSet>

template<unsigned Tape>

using vcsn::rat::expansionset< ExpSet >::project_t = expansionset<typename expressionset_t::template project_t<Tape> >

The type of the expansionset for tape Tape.

Definition at line 641 of file expansionset.hh.

◆ self_t

template<typename ExpSet>

using vcsn::rat::expansionset< ExpSet >::self_t = expansionset

Definition at line 25 of file expansionset.hh.

◆ weight_t

template<typename ExpSet>

using vcsn::rat::expansionset< ExpSet >::weight_t = typename weightset_t::value_t

Definition at line 31 of file expansionset.hh.

◆ weightset_t

template<typename ExpSet>

using vcsn::rat::expansionset< ExpSet >::weightset_t = weightset_t_of<expressionset_t>

Definition at line 30 of file expansionset.hh.

Constructor & Destructor Documentation

◆ expansionset()

template<typename ExpSet>

vcsn::rat::expansionset< ExpSet >::expansionset ( const expressionset_t & rs )

inline

Definition at line 53 of file expansionset.hh.

Member Function Documentation

◆ add()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::add	(	value_t	res,
		const value_t &	rhs
	)		const

inline

Addition.

Definition at line 288 of file expansionset.hh.

◆ add_here()

template<typename ExpSet>

void vcsn::rat::expansionset< ExpSet >::add_here	(	value_t &	lhs,
		const value_t &	rhs
	)		const

inline

In place addition.

Definition at line 279 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::add(), and vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ atom()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::atom ( const label_t & l ) const

inline

A single label.

Definition at line 273 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ complement()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::complement ( const value_t & v ) const

inline

The complement of v.

Definition at line 513 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ complement_() [1/2]

template<typename ExpSet>

template<bool IsLetterized>

std::enable_if_t<!IsLetterized, value_t> vcsn::rat::expansionset< ExpSet >::complement_ ( const value_t & ) const

inlineprivate

Complement on an invalid labelset.

Definition at line 528 of file expansionset.hh.

◆ complement_() [2/2]

template<typename ExpSet>

template<bool IsLetterized>

std::enable_if_t<IsLetterized, value_t> vcsn::rat::expansionset< ExpSet >::complement_ ( const value_t & v ) const

inlineprivate

Complement on a letterized labelset.

Definition at line 537 of file expansionset.hh.

◆ compose()

template<typename ExpSet>

template<typename Ctx = context_t>

auto vcsn::rat::expansionset< ExpSet >::compose	(	value_t	l,
		value_t	r
	)		const -> std::enable_if_t<are_composable<Ctx, Ctx>() && number_of_tapes<Ctx>::value == 2, value_t>

inline

The composition of l and r.

Definition at line 909 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< expressionset_t >::compose().

◆ compose_with_one_() [1/2]

template<typename ExpSet>

void vcsn::rat::expansionset< ExpSet >::compose_with_one_	(	value_t &	,
		const value_t &	,
		const value_t &	,
		std::false_type
	)		const

inline

Definition at line 792 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::compose().

◆ compose_with_one_() [2/2]

template<typename ExpSet>

void vcsn::rat::expansionset< ExpSet >::compose_with_one_	(	value_t &	res,
		const value_t &	l,
		const value_t &	r,
		std::true_type
	)		const

inline

Definition at line 798 of file expansionset.hh.

◆ compose_with_one_new_()

template<typename ExpSet>

void vcsn::rat::expansionset< ExpSet >::compose_with_one_new_	(	value_t &	res,
		const value_t &	l,
		const value_t &	r
	)		const

inline

Definition at line 840 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::compose_with_one_().

◆ compose_with_one_old_()

template<typename ExpSet>

void vcsn::rat::expansionset< ExpSet >::compose_with_one_old_	(	value_t &	res,
		const value_t &	l,
		const value_t &	r
	)		const

inline

Definition at line 809 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::compose_with_one_().

◆ conjunction()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::conjunction	(	const value_t &	l,
		const value_t &	r
	)		const

inline

The conjunction of l and r.

Definition at line 460 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ conjunction_() [1/2]

template<typename ExpSet>

template<typename LabelSet = labelset_t, typename Conjunction >

auto vcsn::rat::expansionset< ExpSet >::conjunction_	(	value_t	l,
		value_t	r,
		Conjunction	conjunction
	)		const -> std::enable_if_t<detail::is_letterized_t<LabelSet>

inlineprivate

The conjunction of l and r.

When labelset is letterized.

Definition at line 391 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::conjunction(), and vcsn::rat::expansionset< expressionset_t >::infiltrate().

◆ conjunction_() [2/2]

template<typename ExpSet>

template<typename LabelSet = labelset_t, typename Conjunction >

auto vcsn::rat::expansionset< ExpSet >::conjunction_	(	const value_t &	lhs,
		const value_t &	rhs,
		Conjunction	conjunction
	)		const -> std::enable_if_t<!detail::is_letterized_t<LabelSet>

inlineprivate

The conjunction of l and r.

When labelset is not letterized.

Definition at line 413 of file expansionset.hh.

◆ conjunctions_with_one_() [1/3]

template<typename ExpSet>

template<typename Conjunction >

void vcsn::rat::expansionset< ExpSet >::conjunctions_with_one_	(	value_t &	,
		const value_t &	,
		const value_t &	,
		std::false_type	,
		Conjunction
	)		const

inlineprivate

Definition at line 349 of file expansionset.hh.

◆ conjunctions_with_one_() [2/3]

template<typename ExpSet>

template<typename Conjunction >

void vcsn::rat::expansionset< ExpSet >::conjunctions_with_one_	(	value_t &	res,
		const value_t &	l,
		const value_t &	r,
		std::true_type	,
		Conjunction	conjunction
	)		const

inlineprivate

Definition at line 357 of file expansionset.hh.

◆ conjunctions_with_one_() [3/3]

template<typename ExpSet>

vcsn::rat::expansionset< ExpSet >::conjunctions_with_one_	(	res	,
		l	,
		r	,
		has_one	,
		conjunction
	)

private

◆ context()

template<typename ExpSet>

const context_t& vcsn::rat::expansionset< ExpSet >::context ( ) const

inline

The context.

Definition at line 78 of file expansionset.hh.

◆ conv() [1/2]

template<typename ExpSet>

static value_t vcsn::rat::expansionset< ExpSet >::conv	(	self_t	,
		const value_t &	v
	)

inlinestatic

Conversion from (this and) other weightsets.

Definition at line 243 of file expansionset.hh.

◆ conv() [2/2]

template<typename ExpSet>

template<typename OtherExpSet >

value_t vcsn::rat::expansionset< ExpSet >::conv	(	const expansionset< OtherExpSet > &	other,
		const typename expansionset< OtherExpSet >::value_t &	v
	)		const

inline

Convert from another expansionset to self.

Definition at line 251 of file expansionset.hh.

◆ denormalize() [1/2]

template<typename ExpSet>

value_t& vcsn::rat::expansionset< ExpSet >::denormalize ( value_t & res ) const

inline

Move the constant to the polynomial associated to one.

Note that this should be named maybe_denormalize, as if the labelset has no one, the input argument is returned unmodified. In particular, be sure to use the constant term of the result, even if in typically cases it is expected to be zero.

Definition at line 211 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::ldivide(), and vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ denormalize() [2/2]

template<typename ExpSet>

vcsn::rat::expansionset< ExpSet >::denormalize ( r )

private

◆ denormalize_() [1/2]

template<typename ExpSet>

value_t& vcsn::rat::expansionset< ExpSet >::denormalize_	(	value_t &	res,
		std::true_type
	)		const

inline

Denormalize res move the constant to the polynomial associated to one.

Definition at line 219 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::denormalize().

◆ denormalize_() [2/2]

template<typename ExpSet>

value_t& vcsn::rat::expansionset< ExpSet >::denormalize_	(	value_t &	res,
		std::false_type
	)		const

inline

Denormalize when there is no label one: identity.

Definition at line 232 of file expansionset.hh.

◆ determinize()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::determinize ( const value_t & v ) const

inline

Turn the polynomials into (normalized) monomials.

Definition at line 626 of file expansionset.hh.

◆ expressionset()

template<typename ExpSet>

const expressionset_t& vcsn::rat::expansionset< ExpSet >::expressionset ( ) const

inline

The expressionset.

Definition at line 66 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::conv(), and vcsn::join_weightset_expansionset().

◆ for() [1/2]

template<typename ExpSet>

vcsn::rat::expansionset< ExpSet >::for ( const auto & p:zip_mapsl.polynomials, r.polynomials )

private

◆ for() [2/2]

template<typename ExpSet>

vcsn::rat::expansionset< ExpSet >::for ( const auto &l:lhs. polynomials ) const &

inlineprivate

Definition at line 419 of file expansionset.hh.

◆ infiltrate()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::infiltrate	(	const value_t &	de,
		const expression_t &	e,
		const value_t &	df,
		const expression_t &	f
	)		const

inline

The infiltration product of l and r.

Definition at line 486 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ is_normal()

template<typename ExpSet>

bool vcsn::rat::expansionset< ExpSet >::is_normal ( const value_t & x ) const

inline

Whether an expansion is normal.

Definition at line 148 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ ldivide()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::ldivide	(	value_t	lhs,
		value_t	rhs
	)		const

inline

Definition at line 584 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ ldivide_here()

template<typename ExpSet>

value_t& vcsn::rat::expansionset< ExpSet >::ldivide_here	(	const weight_t &	w,
		value_t &	res
	)		const

inline

Inplace left-division by w of res.

Definition at line 337 of file expansionset.hh.

◆ lweight()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::lweight	(	const weight_t &	w,
		value_t	res
	)		const

inline

Left-multiplication by w of rhs.

Definition at line 295 of file expansionset.hh.

◆ lweight_here()

template<typename ExpSet>

value_t& vcsn::rat::expansionset< ExpSet >::lweight_here	(	const weight_t &	w,
		value_t &	res
	)		const

inline

Inplace left-multiplication by w of res.

Definition at line 302 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::lweight(), and vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ me()

template<typename ExpSet>

static constexpr const char* vcsn::rat::expansionset< ExpSet >::me ( )

inlinestatic

Definition at line 37 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::complement_().

◆ normalize() [1/3]

template<typename ExpSet>

value_t& vcsn::rat::expansionset< ExpSet >::normalize ( value_t & res ) const

inline

Normalize: eliminate null polynomials and move the constant term from the label one.

Definition at line 164 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::add_here(), vcsn::rat::expansionset< expressionset_t >::compose(), vcsn::rat::expansionset< expressionset_t >::for(), vcsn::rat::expansionset< expressionset_t >::ldivide(), vcsn::rat::expansionset< expressionset_t >::ldivide_here(), and vcsn::rat::expansionset< ExpSet >::tuple_impl< Expansions >::tuple().

◆ normalize() [2/3]

template<typename ExpSet>

vcsn::rat::expansionset< ExpSet >::normalize ( res )

private

◆ normalize() [3/3]

template<typename ExpSet>

vcsn::rat::expansionset< ExpSet >::normalize ( res )

private

◆ normalize_() [1/2]

template<typename ExpSet>

value_t& vcsn::rat::expansionset< ExpSet >::normalize_	(	value_t &	res,
		std::true_type
	)		const

inline

Normalize res.

There must not remain a constant-term associated to one: put it with the constant term of the expansion. I.e., turn ε⊙[⟨w⟩ε + P...] + X_p... into ⟨w⟩ + ε⊙[P...] + X_p....

Definition at line 180 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::normalize().

◆ normalize_() [2/2]

template<typename ExpSet>

value_t& vcsn::rat::expansionset< ExpSet >::normalize_	(	value_t &	res,
		std::false_type
	)		const

inline

Normalize when there is no label one: identity.

Definition at line 199 of file expansionset.hh.

◆ one()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::one ( ) const

inline

The one.

Definition at line 267 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::ldivide(), and vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ polynomialset()

template<typename ExpSet>

const polynomialset_t& vcsn::rat::expansionset< ExpSet >::polynomialset ( ) const

inline

The polynomialset.

Definition at line 72 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::conv().

◆ print()

template<typename ExpSet>

std::ostream& vcsn::rat::expansionset< ExpSet >::print	(	const value_t &	v,
		std::ostream &	o = `std::cout`,
		format	fmt = `{}`
	)		const

inline

Print this expansion.

Definition at line 112 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< expressionset_t >::print_().

◆ print_set()

template<typename ExpSet>

std::ostream& vcsn::rat::expansionset< ExpSet >::print_set	(	std::ostream &	o,
		format	fmt = `{}`
	)		const

inline

Print this valueset.

Definition at line 84 of file expansionset.hh.

◆ project() [1/2]

template<typename ExpSet>

template<unsigned Tape>

auto vcsn::rat::expansionset< ExpSet >::project ( ) const -> project_t<Tape>

inline

The expansionset for tape Tape.

Definition at line 645 of file expansionset.hh.

◆ project() [2/2]

template<typename ExpSet>

template<size_t Tape>

auto vcsn::rat::expansionset< ExpSet >::project ( const value_t & v ) const

inline

Project a multitape expansion.

Definition at line 775 of file expansionset.hh.

◆ rmul_label_here()

template<typename ExpSet>

value_t& vcsn::rat::expansionset< ExpSet >::rmul_label_here	(	value_t &	res,
		const expression_t &	rhs
	)		const

inline

In place right multiplication by an expression.

Definition at line 328 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ rweight()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::rweight	(	const value_t &	lhs,
		const weight_t &	w
	)		const

inline

Right-multiplication of lhs by w.

Definition at line 316 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ shuffle()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::shuffle	(	const value_t &	de,
		const expression_t &	e,
		const value_t &	df,
		const expression_t &	f
	)		const

inline

The shuffle product of de and df.

d(E) : F + E : d(F)

Definition at line 473 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ shuffle_()

template<typename ExpSet>

template<typename Shuffle >

value_t& vcsn::rat::expansionset< ExpSet >::shuffle_	(	value_t &	res,
		const value_t &	lhs_xpn,
		const expression_t &	lhs_xpr,
		const value_t &	rhs_xpn,
		const expression_t &	rhs_xpr,
		Shuffle	shuffle
	)		const

inlineprivate

The shuffle product of l and r.

Definition at line 439 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::infiltrate(), and vcsn::rat::expansionset< expressionset_t >::shuffle().

◆ sname()

template<typename ExpSet>

static symbol vcsn::rat::expansionset< ExpSet >::sname ( )

inlinestatic

The static name.

Definition at line 58 of file expansionset.hh.

◆ transpose()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::transpose ( const value_t & v ) const

inline

Transpose an expansion. The firsts must be reduced to one.

Definition at line 571 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

◆ tuple()

template<typename ExpSet>

template<typename... Expansions>

auto vcsn::rat::expansionset< ExpSet >::tuple ( Expansions &&... es ) const -> value_t

inline

The tuplization of single-tape expansions into a multitape expansion.

Another implementation is possible, based on the following two-tape example taking e0 and e1, two single-tape expansions:

auto res = value_t{ws_.mul(e0.constant, e1.constant)}; for (const auto& p0: e0.polynomials) for (const auto& p1: e1.polynomials) { auto l = label_t{p0.first, p1.first}; ps_.add_here(res.polynomials[l], ps_.tuple(p0.second, p1.second)); } if (!ws_.is_zero(e0.constant)) { auto rs0 = detail::project<0>(rs_); using p0_t = typename polynomialset_t::template project_t<0>; auto p0 = p0_t{{rs0.one(), e0.constant}}; for (const auto& p1: e1.polynomials) { auto l = label_t{detail::label_one(*rs0.labelset()), p1.first}; ps_.add_here(res.polynomials[l], ps_.tuple(p0, p1.second)); } } if (!ws_.is_zero(e1.constant)) { auto rs1 = detail::project<1>(rs_); using p1_t = typename polynomialset_t::template project_t<1>; auto p1 = p1_t{{rs1.one(), e1.constant}}; for (const auto& p0: e0.polynomials) { auto l = label_t{p0.first, detail::label_one(*rs1.labelset())}; ps_.add_here(res.polynomials[l], ps_.tuple(p0.second, p1)); } } return res;

The first part, the two nested for-loops that deal with the polynomial part of the expansions, is easy to scale to variadic tuples (that's a Cartesian product). The second part, the two if's and loop that deal with the constant terms, is more tricky.

Rather than making the code more complex, since the constant part of the expansions is just the weight of the unit polynomial for the unit label, let's denormalize the expansions, let the general laws apply, and then normalize the result.

Definition at line 766 of file expansionset.hh.

Referenced by vcsn::rat::to_expansion_visitor< ExpSet >::visit_tuple< bool, Dummy >::work_().

◆ zero()

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::zero ( ) const

inline

The zero.

Definition at line 261 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::lweight_here(), vcsn::rat::to_expansion_visitor< expressionset_t >::operator()(), vcsn::rat::expansionset< ExpSet >::tuple_impl< Expansions >::tuple(), and vcsn::rat::to_expansion_visitor< expressionset_t >::VCSN_RAT_VISIT().

Member Data Documentation

◆ denorm_

template<typename ExpSet>

bool vcsn::rat::expansionset< ExpSet >::denorm_ = old_way_ || !!getenv("VCSN_DENORM")

private

Denormalize if requested explicitly, or if running the old way.

Definition at line 955 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::compose().

◆ has_one

template<typename ExpSet>

auto vcsn::rat::expansionset< ExpSet >::has_one = bool_constant<context_t::has_one()>()

private

Definition at line 403 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::compose(), vcsn::rat::expansionset< expressionset_t >::denormalize(), and vcsn::rat::expansionset< expressionset_t >::normalize().

◆ ls_

template<typename ExpSet>

const labelset_t& vcsn::rat::expansionset< ExpSet >::ls_ = *rs_.labelset()

private

Shorthand to the labelset.

Definition at line 947 of file expansionset.hh.

◆ old_way_

template<typename ExpSet>

bool vcsn::rat::expansionset< ExpSet >::old_way_ = !!getenv("VCSN_OLDWAY")

private

Whether to running the old composition code.

Definition at line 953 of file expansionset.hh.

Referenced by vcsn::rat::expansionset< expressionset_t >::compose_with_one_().

◆ ps_

template<typename ExpSet>

polynomialset_t vcsn::rat::expansionset< ExpSet >::ps_ = make_expression_polynomialset(rs_)

private

The polynomialset for the polynomials.

Definition at line 951 of file expansionset.hh.

◆ res [1/2]

template<typename ExpSet>

return vcsn::rat::expansionset< ExpSet >::res = value_t{ws_.mul(l.constant, r.constant)}

private

Definition at line 398 of file expansionset.hh.

◆ res [2/2]

template<typename ExpSet>

return vcsn::rat::expansionset< ExpSet >::res

private

Definition at line 406 of file expansionset.hh.

◆ rs_

template<typename ExpSet>

expressionset_t vcsn::rat::expansionset< ExpSet >::rs_

private

The expressionset used for the expressions.

Definition at line 945 of file expansionset.hh.

◆ value_t

template<typename ExpSet>

vcsn::rat::expansionset< ExpSet >::value_t

private

Initial value:

{

denormalize(l)

Definition at line 395 of file expansionset.hh.

◆ ws_

template<typename ExpSet>

const weightset_t& vcsn::rat::expansionset< ExpSet >::ws_ = *rs_.weightset()

private

Shorthand to the weightset.

Definition at line 949 of file expansionset.hh.

The documentation for this struct was generated from the following file:

vcsn/core/rat/expansionset.hh

Classes

Public Types

Public Member Functions

Static Public Member Functions

Private Member Functions

Private Attributes

Detailed Description

template<typename ExpSet> struct vcsn::rat::expansionset< ExpSet >

Member Typedef Documentation

◆ context_t

◆ expression_t

◆ expressionset_t

◆ label_t

◆ labelset_t

◆ monomial_t

◆ polynomial_t

◆ polynomialset_t

◆ polys_t

◆ project_t

◆ self_t

◆ weight_t

◆ weightset_t

Constructor & Destructor Documentation

◆ expansionset()

Member Function Documentation

◆ add()

◆ add_here()

◆ atom()

◆ complement()

◆ complement_() [1/2]

◆ complement_() [2/2]

◆ compose()

◆ compose_with_one_() [1/2]

◆ compose_with_one_() [2/2]

◆ compose_with_one_new_()

◆ compose_with_one_old_()

◆ conjunction()

◆ conjunction_() [1/2]

◆ conjunction_() [2/2]

◆ conjunctions_with_one_() [1/3]

◆ conjunctions_with_one_() [2/3]

◆ conjunctions_with_one_() [3/3]

◆ context()

◆ conv() [1/2]

◆ conv() [2/2]

◆ denormalize() [1/2]

◆ denormalize() [2/2]

◆ denormalize_() [1/2]

◆ denormalize_() [2/2]

◆ determinize()

◆ expressionset()

◆ for() [1/2]

◆ for() [2/2]

◆ infiltrate()

◆ is_normal()

◆ ldivide()

◆ ldivide_here()

◆ lweight()

◆ lweight_here()

◆ me()

◆ normalize() [1/3]

◆ normalize() [2/3]

◆ normalize() [3/3]

◆ normalize_() [1/2]

◆ normalize_() [2/2]

◆ one()

◆ polynomialset()

◆ print()

◆ print_set()

◆ project() [1/2]

◆ project() [2/2]

◆ rmul_label_here()

◆ rweight()

◆ shuffle()

◆ shuffle_()

◆ sname()

◆ transpose()

◆ tuple()

◆ zero()

Member Data Documentation

template<typename ExpSet>
struct vcsn::rat::expansionset< ExpSet >