#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, format fmt={}) const
	Print this expansion. More...

value_t &	normalize (value_t &res) const
	Normalize: move the constant term to the label one. More...

value_t &	normalize_ (value_t &res, std::true_type) const
	Normalize res: There must not remain a constant-term associated to one: put it with the constant term of the expansion. 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 (const value_t &lhs, const value_t &rhs) const
	Addition. More...

value_t	lweight (const weight_t &w, const value_t &rhs) 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 &	rweight_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 &lhs_xpn, const expression_t &lhs_xpr, const value_t &rhs_xpn, const expression_t &rhs_xpr) const
	The shuffle product of lhs_xpn and rhs_xpn. More...

value_t	infiltrate (const value_t &lhs_xpn, const expression_t &lhs_xpr, const value_t &rhs_xpn, const expression_t &rhs_xpr) const
	The infiltration product of l and r. More...

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

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

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

	denormalize (l)

	denormalize (r)

	for (const auto &lm:l.polynomials) for(const auto &rm

	compose_with_one_ (res, l, r, has_one)

	normalize (res)

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 (l)

	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

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

res	constant = 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...

Detailed Description

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

Definition at line 19 of file expansionset.hh.

Member Typedef Documentation

template<typename ExpSet>

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

Definition at line 24 of file expansionset.hh.

template<typename ExpSet>

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

Definition at line 27 of file expansionset.hh.

template<typename ExpSet>

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

Definition at line 22 of file expansionset.hh.

template<typename ExpSet>

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

Definition at line 26 of file expansionset.hh.

template<typename ExpSet>

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

Definition at line 25 of file expansionset.hh.

template<typename ExpSet>

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

Definition at line 33 of file expansionset.hh.

template<typename ExpSet>

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

Definition at line 32 of file expansionset.hh.

template<typename ExpSet>

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

Definition at line 31 of file expansionset.hh.

template<typename ExpSet>

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

Definition at line 40 of file expansionset.hh.

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 546 of file expansionset.hh.

template<typename ExpSet>

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

Definition at line 23 of file expansionset.hh.

template<typename ExpSet>

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

Definition at line 29 of file expansionset.hh.

template<typename ExpSet>

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

Definition at line 28 of file expansionset.hh.

Constructor & Destructor Documentation

template<typename ExpSet>

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

inline

Definition at line 49 of file expansionset.hh.

Member Function Documentation

template<typename ExpSet>

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

inline

Addition.

Definition at line 253 of file expansionset.hh.

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 245 of file expansionset.hh.

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

template<typename ExpSet>

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

inline

A single label.

Definition at line 239 of file expansionset.hh.

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

template<typename ExpSet>

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

inline

The complement of v.

Definition at line 474 of file expansionset.hh.

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

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 489 of file expansionset.hh.

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 498 of file expansionset.hh.

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>

inline

The composition of l and r.

Definition at line 736 of file expansionset.hh.

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

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 698 of file expansionset.hh.

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 704 of file expansionset.hh.

template<typename ExpSet>

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

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 421 of file expansionset.hh.

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

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 351 of file expansionset.hh.

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 374 of file expansionset.hh.

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 309 of file expansionset.hh.

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 317 of file expansionset.hh.

template<typename ExpSet>

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

private

template<typename ExpSet>

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

inline

The context.

Definition at line 74 of file expansionset.hh.

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 209 of file expansionset.hh.

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 217 of file expansionset.hh.

template<typename ExpSet>

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

inline

Move the constant to the polynomial associated to one.

Definition at line 177 of file expansionset.hh.

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

template<typename ExpSet>

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

private

template<typename ExpSet>

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

private

template<typename ExpSet>

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

template<typename ExpSet>

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

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 185 of file expansionset.hh.

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

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 198 of file expansionset.hh.

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 530 of file expansionset.hh.

Referenced by vcsn::detail::derived_term_automaton_impl< ExpSet >::complete_via_expansion_().

template<typename ExpSet>

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

inline

The expressionset.

Definition at line 62 of file expansionset.hh.

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

template<typename ExpSet>

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

private

template<typename ExpSet>

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

inlineprivate

Definition at line 381 of file expansionset.hh.

template<typename ExpSet>

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

inline

Definition at line 743 of file expansionset.hh.

template<typename ExpSet>

value_t vcsn::rat::expansionset< ExpSet >::infiltrate	(	const value_t &	lhs_xpn,
		const expression_t &	lhs_xpr,
		const value_t &	rhs_xpn,
		const expression_t &	rhs_xpr
	)		const

inline

The infiltration product of l and r.

Definition at line 448 of file expansionset.hh.

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

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 297 of file expansionset.hh.

template<typename ExpSet>

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

inline

Left-multiplication by w of rhs.

Definition at line 261 of file expansionset.hh.

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 269 of file expansionset.hh.

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

template<typename ExpSet>

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

inlinestatic

Definition at line 35 of file expansionset.hh.

template<typename ExpSet>

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

inline

Normalize: move the constant term to the label one.

Definition at line 143 of file expansionset.hh.

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

template<typename ExpSet>

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

private

template<typename ExpSet>

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

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.

Definition at line 152 of file expansionset.hh.

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

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 171 of file expansionset.hh.

template<typename ExpSet>

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

inline

The one.

Definition at line 233 of file expansionset.hh.

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

template<typename ExpSet>

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

inline

The polynomialset.

Definition at line 68 of file expansionset.hh.

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

template<typename ExpSet>

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

inline

Print this expansion.

Definition at line 108 of file expansionset.hh.

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

template<typename ExpSet>

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

inline

Print this valueset.

Definition at line 80 of file expansionset.hh.

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 550 of file expansionset.hh.

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 681 of file expansionset.hh.

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 278 of file expansionset.hh.

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

template<typename ExpSet>

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

inline

In place right multiplication by an expression.

Definition at line 289 of file expansionset.hh.

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

template<typename ExpSet>

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

inline

The shuffle product of lhs_xpn and rhs_xpn.

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

Definition at line 434 of file expansionset.hh.

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

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 400 of file expansionset.hh.

template<typename ExpSet>

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

inlinestatic

The static name.

Definition at line 54 of file expansionset.hh.

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 = zero(); res.constant = 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 672 of file expansionset.hh.

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

template<typename ExpSet>

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

inline

The zero.

Definition at line 227 of file expansionset.hh.

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