#include <tits.h>

Inheritance diagram for atlas::tits::GlobalTitsGroup:

Collaboration diagram for atlas::tits::GlobalTitsGroup:

Public Member Functions
	GlobalTitsGroup (const InnerClass &G)

size_t	semisimple_rank () const

size_t	rank () const

TorusElement	torus_element_offset () const

TorusPart	m_alpha (size_t j) const

WeightInvolution	involution_matrix (const WeylElt &tw) const

TorusElement	twisted (const TorusElement &x) const

TorusElement	dual_twisted (const TorusElement &x) const

const std::vector< Grading > &	square_class_generators () const

void	complex_cross_act (weyl::Generator s, TorusElement &t) const

void	imaginary_cross_act (weyl::Generator s, TorusElement &t) const

bool	is_valid (const GlobalTitsElement &a, bool check_tw=false) const

bool	is_valid (const GlobalTitsElement &a, const SubSystem &sub) const

GlobalTitsElement	twisted (const GlobalTitsElement &a) const

GlobalTitsElement	dual_twisted (const GlobalTitsElement &a) const

bool	compact (weyl::Generator s, const TorusElement &t) const

bool	compact (weyl::Generator s, const GlobalTitsElement &a) const

GlobalTitsElement	Cayley (weyl::Generator s, GlobalTitsElement a) const

RankFlags	descents (const GlobalTitsElement &a) const

TorusElement	theta_tr_times_torus (const GlobalTitsElement &a) const

TorusElement	square_shifted (const GlobalTitsElement &a) const

GlobalTitsElement	prod (const GlobalTitsElement &a, const GlobalTitsElement &b) const

bool	compact (const RootSystem &rs, RootNbr alpha, GlobalTitsElement a) const

int	cross_act (weyl::Generator s, GlobalTitsElement &a) const

int	cross_act (const WeylWord &w, GlobalTitsElement &a) const

int	cross_act (GlobalTitsElement &a, const WeylWord &w) const

GlobalTitsElement	cross (weyl::Generator s, GlobalTitsElement a) const

GlobalTitsElement	cross (const WeylWord &w, GlobalTitsElement a) const

GlobalTitsElement	cross (GlobalTitsElement a, const WeylWord &w) const

void	add (TorusPart tp, GlobalTitsElement &a) const

void	add (const RatWeight &rw, TorusElement &t) const

void	add (const RatWeight &rw, GlobalTitsElement &a) const

void	do_inverse_Cayley (weyl::Generator s, TorusElement &t) const

void	do_inverse_Cayley (weyl::Generator s, GlobalTitsElement &a) const

Private Member Functions
	GlobalTitsGroup (const GlobalTitsGroup &)

GlobalTitsGroup &	operator= (const GlobalTitsGroup &)

Private Attributes
const PreRootDatum	prd

WeightInvolution	delta_tr

std::vector< TorusPart >	alpha_v

const RatWeight	half_rho_v

std::vector< Grading >	square_class_gen

Constructor & Destructor Documentation

atlas::tits::GlobalTitsGroup::GlobalTitsGroup ( const GlobalTitsGroup & )

private

atlas::tits::GlobalTitsGroup::GlobalTitsGroup ( const InnerClass & G )

Member Function Documentation

void atlas::tits::GlobalTitsGroup::add	(	TorusPart	tp,
		GlobalTitsElement &	a
	)		const

inline

void atlas::tits::GlobalTitsGroup::add	(	const RatWeight &	rw,
		TorusElement &	t
	)		const

inline

void atlas::tits::GlobalTitsGroup::add	(	const RatWeight &	rw,
		GlobalTitsElement &	a
	)		const

inline

GlobalTitsElement atlas::tits::GlobalTitsGroup::Cayley	(	weyl::Generator	s,
		GlobalTitsElement	a
	)		const

inline

bool atlas::tits::GlobalTitsGroup::compact	(	weyl::Generator	s,
		const TorusElement &	t
	)		const

inline

bool atlas::tits::GlobalTitsGroup::compact	(	weyl::Generator	s,
		const GlobalTitsElement &	a
	)		const

inline

bool atlas::tits::GlobalTitsGroup::compact	(	const RootSystem &	rs,
		RootNbr	alpha,
		GlobalTitsElement	a
	)		const

void atlas::tits::GlobalTitsGroup::complex_cross_act	(	weyl::Generator	s,
		TorusElement &	t
	)		const

inline

GlobalTitsElement atlas::tits::GlobalTitsGroup::cross	(	weyl::Generator	s,
		GlobalTitsElement	a
	)		const

inline

GlobalTitsElement atlas::tits::GlobalTitsGroup::cross	(	const WeylWord &	w,
		GlobalTitsElement	a
	)		const

inline

GlobalTitsElement atlas::tits::GlobalTitsGroup::cross	(	GlobalTitsElement	a,
		const WeylWord &	w
	)		const

inline

int atlas::tits::GlobalTitsGroup::cross_act	(	weyl::Generator	s,
		GlobalTitsElement &	a
	)		const

int atlas::tits::GlobalTitsGroup::cross_act	(	const WeylWord &	w,
		GlobalTitsElement &	a
	)		const

int atlas::tits::GlobalTitsGroup::cross_act	(	GlobalTitsElement &	a,
		const WeylWord &	w
	)		const

RankFlags atlas::tits::GlobalTitsGroup::descents ( const GlobalTitsElement & a ) const

void atlas::tits::GlobalTitsGroup::do_inverse_Cayley	(	weyl::Generator	s,
		TorusElement &	t
	)		const

void atlas::tits::GlobalTitsGroup::do_inverse_Cayley	(	weyl::Generator	s,
		GlobalTitsElement &	a
	)		const

TorusElement atlas::tits::GlobalTitsGroup::dual_twisted ( const TorusElement & x ) const

GlobalTitsElement atlas::tits::GlobalTitsGroup::dual_twisted ( const GlobalTitsElement & a ) const

inline

void atlas::tits::GlobalTitsGroup::imaginary_cross_act	(	weyl::Generator	s,
		TorusElement &	t
	)		const

WeightInvolution atlas::tits::GlobalTitsGroup::involution_matrix ( const WeylElt & tw ) const

bool atlas::tits::GlobalTitsGroup::is_valid	(	const GlobalTitsElement &	a,
		bool	check_tw = `false`
	)		const

bool atlas::tits::GlobalTitsGroup::is_valid	(	const GlobalTitsElement &	a,
		const SubSystem &	sub
	)		const

TorusPart atlas::tits::GlobalTitsGroup::m_alpha ( size_t j ) const

inline

GlobalTitsGroup& atlas::tits::GlobalTitsGroup::operator= ( const GlobalTitsGroup & )

private

GlobalTitsElement atlas::tits::GlobalTitsGroup::prod	(	const GlobalTitsElement &	a,
		const GlobalTitsElement &	b
	)		const

size_t atlas::tits::GlobalTitsGroup::rank ( ) const

inline

size_t atlas::tits::GlobalTitsGroup::semisimple_rank ( ) const

inline

const std::vector<Grading>& atlas::tits::GlobalTitsGroup::square_class_generators ( ) const

inline

TorusElement atlas::tits::GlobalTitsGroup::square_shifted ( const GlobalTitsElement & a ) const

TorusElement atlas::tits::GlobalTitsGroup::theta_tr_times_torus ( const GlobalTitsElement & a ) const

TorusElement atlas::tits::GlobalTitsGroup::torus_element_offset ( ) const

inline

TorusElement atlas::tits::GlobalTitsGroup::twisted ( const TorusElement & x ) const

GlobalTitsElement atlas::tits::GlobalTitsGroup::twisted ( const GlobalTitsElement & a ) const

inline

Member Data Documentation

std::vector<TorusPart> atlas::tits::GlobalTitsGroup::alpha_v

private

WeightInvolution atlas::tits::GlobalTitsGroup::delta_tr

private

const RatWeight atlas::tits::GlobalTitsGroup::half_rho_v

private

const PreRootDatum atlas::tits::GlobalTitsGroup::prd

private

std::vector<Grading> atlas::tits::GlobalTitsGroup::square_class_gen

private

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

/home/ran/atlas_project/latest_branch_07182016/sources/structure/tits.h
/home/ran/atlas_project/latest_branch_07182016/sources/structure/tits.cpp

Public Member Functions

Private Member Functions

Private Attributes

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation