This class holds an object representing an element of the Clifford algebra (the Dirac gamma matrices). More...

#include <clifford.h>

Inheritance diagram for GiNaC::clifford:

Public Member Functions
	clifford (const ex &b, unsigned char rl=0)
	Construct object without any indices. More...

	clifford (const ex &b, const ex &mu, const ex &metr, unsigned char rl=0, int comm_sign=-1)
	Construct object with one Lorentz index. More...

	clifford (unsigned char rl, const ex &metr, int comm_sign, const exvector &v)

	clifford (unsigned char rl, const ex &metr, int comm_sign, exvector &&v)

unsigned	precedence () const override
	Return relative operator precedence (for parenthezing output). More...

void	archive (archive_node &n) const override
	Save (serialize) the object into archive node. More...

void	read_archive (const archive_node &n, lst &sym_lst) override
	Load (deserialize) the object from an archive node. More...

unsigned char	get_representation_label () const

ex	get_metric () const

virtual ex	get_metric (const ex &i, const ex &j, bool symmetrised=false) const

bool	same_metric (const ex &other) const

int	get_commutator_sign () const

size_t	nops () const override
	Number of operands/members. More...

ex	op (size_t i) const override
	Return operand/member at position i. More...

ex &	let_op (size_t i) override
	Return modifiable operand/member at position i. More...

ex	subs (const exmap &m, unsigned options=0) const override
	Substitute a set of objects by arbitrary expressions. More...

Public Member Functions inherited from GiNaC::indexed
	indexed (const ex &b)
	Construct indexed object with no index. More...

	indexed (const ex &b, const ex &i1)
	Construct indexed object with one index. More...

	indexed (const ex &b, const ex &i1, const ex &i2)
	Construct indexed object with two indices. More...

	indexed (const ex &b, const ex &i1, const ex &i2, const ex &i3)
	Construct indexed object with three indices. More...

	indexed (const ex &b, const ex &i1, const ex &i2, const ex &i3, const ex &i4)
	Construct indexed object with four indices. More...

	indexed (const ex &b, const symmetry &symm, const ex &i1, const ex &i2)
	Construct indexed object with two indices and a specified symmetry. More...

	indexed (const ex &b, const symmetry &symm, const ex &i1, const ex &i2, const ex &i3)
	Construct indexed object with three indices and a specified symmetry. More...

	indexed (const ex &b, const symmetry &symm, const ex &i1, const ex &i2, const ex &i3, const ex &i4)
	Construct indexed object with four indices and a specified symmetry. More...

	indexed (const ex &b, const exvector &iv)
	Construct indexed object with a specified vector of indices. More...

	indexed (const ex &b, const symmetry &symm, const exvector &iv)
	Construct indexed object with a specified vector of indices and symmetry. More...

	indexed (const symmetry &symm, const exprseq &es)

	indexed (const symmetry &symm, const exvector &v)

	indexed (const symmetry &symm, exvector &&v)

unsigned	precedence () const override
	Return relative operator precedence (for parenthezing output). More...

bool	info (unsigned inf) const override
	Information about the object. More...

ex	eval () const override
	Perform automatic non-interruptive term rewriting rules. More...

ex	real_part () const override

ex	imag_part () const override

exvector	get_free_indices () const override
	Return a vector containing the free indices of an expression. More...

void	archive (archive_node &n) const override
	Save (a.k.a. More...

void	read_archive (const archive_node &n, lst &syms) override
	Read (a.k.a. More...

bool	all_index_values_are (unsigned inf) const
	Check whether all index values have a certain property. More...

exvector	get_indices () const
	Return a vector containing the object's indices. More...

exvector	get_dummy_indices () const
	Return a vector containing the dummy indices of the object, if any. More...

exvector	get_dummy_indices (const indexed &other) const
	Return a vector containing the dummy indices in the contraction with another indexed object. More...

bool	has_dummy_index_for (const ex &i) const
	Check whether the object has an index that forms a dummy index pair with a given index. More...

ex	get_symmetry () const
	Return symmetry properties. More...

Public Member Functions inherited from GiNaC::container< C >
	container (STLT const &s)

	container (STLT &&v)

	container (exvector::const_iterator b, exvector::const_iterator e)

	container (std::initializer_list< ex > il)

bool	info (unsigned inf) const override
	Information about the object. More...

unsigned	precedence () const override
	Return relative operator precedence (for parenthezing output). More...

size_t	nops () const override
	Number of operands/members. More...

ex	op (size_t i) const override
	Return operand/member at position i. More...

ex &	let_op (size_t i) override
	Return modifiable operand/member at position i. More...

ex	subs (const exmap &m, unsigned options=0) const override
	Substitute a set of objects by arbitrary expressions. More...

void	read_archive (const archive_node &n, lst &sym_lst) override
	Load (deserialize) the object from an archive node. More...

void	archive (archive_node &n) const override
	Archive the object. More...

container &	prepend (const ex &b)
	Add element at front. More...

container &	append (const ex &b)
	Add element at back. More...

container &	remove_first ()
	Remove first element. More...

container &	remove_last ()
	Remove last element. More...

container &	remove_all ()
	Remove all elements. More...

container &	sort ()
	Sort elements. More...

container &	unique ()
	Remove adjacent duplicate elements. More...

const_iterator	begin () const

const_iterator	end () const

const_reverse_iterator	rbegin () const

const_reverse_iterator	rend () const

Public Member Functions inherited from GiNaC::basic
virtual	~basic ()
	basic destructor, virtual because class ex will delete objects of derived classes via a basic*. More...

	basic (const basic &other)

const basic &	operator= (const basic &other)
	basic assignment operator: the other object might be of a derived class. More...

virtual basic *	duplicate () const
	Create a clone of this object on the heap. More...

virtual ex	eval () const
	Perform automatic non-interruptive term rewriting rules. More...

virtual ex	evalf () const
	Evaluate object numerically. More...

virtual ex	evalm () const
	Evaluate sums, products and integer powers of matrices. More...

virtual ex	eval_integ () const
	Evaluate integrals, if result is known. More...

virtual ex	eval_indexed (const basic &i) const
	Perform automatic symbolic evaluations on indexed expression that contains this object as the base expression. More...

virtual void	print (const print_context &c, unsigned level=0) const
	Output to stream. More...

virtual void	dbgprint () const
	Little wrapper around print to be called within a debugger. More...

virtual void	dbgprinttree () const
	Little wrapper around printtree to be called within a debugger. More...

virtual unsigned	precedence () const
	Return relative operator precedence (for parenthezing output). More...

virtual bool	info (unsigned inf) const
	Information about the object. More...

virtual size_t	nops () const
	Number of operands/members. More...

virtual ex	op (size_t i) const
	Return operand/member at position i. More...

virtual ex	operator[] (const ex &index) const

virtual ex	operator[] (size_t i) const

virtual ex &	let_op (size_t i)
	Return modifiable operand/member at position i. More...

virtual ex &	operator[] (const ex &index)

virtual ex &	operator[] (size_t i)

virtual bool	has (const ex &other, unsigned options=0) const
	Test for occurrence of a pattern. More...

virtual bool	match (const ex &pattern, exmap &repls) const
	Check whether the expression matches a given pattern. More...

virtual ex	subs (const exmap &m, unsigned options=0) const
	Substitute a set of objects by arbitrary expressions. More...

virtual ex	map (map_function &f) const
	Construct new expression by applying the specified function to all sub-expressions (one level only, not recursively). More...

virtual void	accept (GiNaC::visitor &v) const

virtual bool	is_polynomial (const ex &var) const
	Check whether this is a polynomial in the given variables. More...

virtual int	degree (const ex &s) const
	Return degree of highest power in object s. More...

virtual int	ldegree (const ex &s) const
	Return degree of lowest power in object s. More...

virtual ex	coeff (const ex &s, int n=1) const
	Return coefficient of degree n in object s. More...

virtual ex	expand (unsigned options=0) const
	Expand expression, i.e. More...

virtual ex	collect (const ex &s, bool distributed=false) const
	Sort expanded expression in terms of powers of some object(s). More...

virtual ex	series (const relational &r, int order, unsigned options=0) const
	Default implementation of ex::series(). More...

virtual ex	normal (exmap &repl, exmap &rev_lookup, lst &modifier) const
	Default implementation of ex::normal(). More...

virtual ex	to_rational (exmap &repl) const
	Default implementation of ex::to_rational(). More...

virtual ex	to_polynomial (exmap &repl) const

virtual numeric	integer_content () const

virtual ex	smod (const numeric &xi) const
	Apply symmetric modular homomorphism to an expanded multivariate polynomial. More...

virtual numeric	max_coefficient () const
	Implementation ex::max_coefficient(). More...

virtual exvector	get_free_indices () const
	Return a vector containing the free indices of an expression. More...

virtual ex	add_indexed (const ex &self, const ex &other) const
	Add two indexed expressions. More...

virtual ex	scalar_mul_indexed (const ex &self, const numeric &other) const
	Multiply an indexed expression with a scalar. More...

virtual bool	contract_with (exvector::iterator self, exvector::iterator other, exvector &v) const
	Try to contract two indexed expressions that appear in the same product. More...

virtual unsigned	return_type () const

virtual return_type_t	return_type_tinfo () const

virtual ex	conjugate () const

virtual ex	real_part () const

virtual ex	imag_part () const

template<class T >
void	print_dispatch (const print_context &c, unsigned level) const
	Like print(), but dispatch to the specified class. More...

void	print_dispatch (const registered_class_info &ri, const print_context &c, unsigned level) const
	Like print(), but dispatch to the specified class. More...

virtual void	archive (archive_node &n) const
	Save (serialize) the object into archive node. More...

virtual void	read_archive (const archive_node &n, lst &syms)
	Load (deserialize) the object from an archive node. More...

ex	subs_one_level (const exmap &m, unsigned options) const
	Helper function for subs(). More...

ex	diff (const symbol &s, unsigned nth=1) const
	Default interface of nth derivative ex::diff(s, n). More...

int	compare (const basic &other) const
	Compare objects syntactically to establish canonical ordering. More...

bool	is_equal (const basic &other) const
	Test for syntactic equality. More...

const basic &	hold () const
	Stop further evaluation. More...

unsigned	gethash () const

const basic &	setflag (unsigned f) const
	Set some status_flags. More...

const basic &	clearflag (unsigned f) const
	Clear some status_flags. More...

Public Member Functions inherited from GiNaC::refcounted
	refcounted () noexcept

unsigned int	add_reference () noexcept

unsigned int	remove_reference () noexcept

unsigned int	get_refcount () const noexcept

void	set_refcount (unsigned int r) noexcept

Protected Member Functions
ex	eval_ncmul (const exvector &v) const override
	Perform automatic simplification on noncommutative product of clifford objects. More...

bool	match_same_type (const basic &other) const override
	Returns true if the attributes of two objects are similar enough for a match. More...

ex	thiscontainer (const exvector &v) const override

ex	thiscontainer (exvector &&v) const override

unsigned	return_type () const override

return_type_t	return_type_tinfo () const override

void	do_print_dflt (const print_dflt &c, unsigned level) const

void	do_print_latex (const print_latex &c, unsigned level) const

void	do_print_tree (const print_tree &c, unsigned level) const

Protected Member Functions inherited from GiNaC::indexed
ex	derivative (const symbol &s) const override
	Implementation of ex::diff() for an indexed object always returns 0. More...

ex	thiscontainer (const exvector &v) const override

ex	thiscontainer (exvector &&v) const override

unsigned	return_type () const override

return_type_t	return_type_tinfo () const override

ex	expand (unsigned options=0) const override
	Expand expression, i.e. More...

void	printindices (const print_context &c, unsigned level) const

void	print_indexed (const print_context &c, const char openbrace, const char closebrace, unsigned level) const

void	do_print (const print_context &c, unsigned level) const

void	do_print_latex (const print_latex &c, unsigned level) const

void	do_print_tree (const print_tree &c, unsigned level) const

void	validate () const
	Check whether all indices are of class idx and validate the symmetry tree. More...

Protected Member Functions inherited from GiNaC::container< C >
ex	conjugate () const override

ex	real_part () const override

ex	imag_part () const override

bool	is_equal_same_type (const basic &other) const override
	Returns true if two objects of same type are equal. More...

virtual ex	thiscontainer (const STLT &v) const
	Similar to duplicate(), but with a preset sequence. More...

virtual ex	thiscontainer (STLT &&v) const
	Similar to duplicate(), but with a preset sequence (which gets pilfered). More...

virtual void	printseq (const print_context &c, char openbracket, char delim, char closebracket, unsigned this_precedence, unsigned upper_precedence=0) const
	Print sequence of contained elements. More...

void	do_print (const print_context &c, unsigned level) const

void	do_print_tree (const print_tree &c, unsigned level) const

void	do_print_python (const print_python &c, unsigned level) const

void	do_print_python_repr (const print_python_repr &c, unsigned level) const

STLT	subschildren (const exmap &m, unsigned options=0) const

Protected Member Functions inherited from GiNaC::basic
	basic ()

virtual ex	eval_ncmul (const exvector &v) const

virtual bool	match_same_type (const basic &other) const
	Returns true if the attributes of two objects are similar enough for a match. More...

virtual ex	derivative (const symbol &s) const
	Default implementation of ex::diff(). More...

virtual int	compare_same_type (const basic &other) const
	Returns order relation between two objects of same type. More...

virtual bool	is_equal_same_type (const basic &other) const
	Returns true if two objects of same type are equal. More...

virtual unsigned	calchash () const
	Compute the hash value of an object and if it makes sense to store it in the objects status_flags, do so. More...

void	ensure_if_modifiable () const
	Ensure the object may be modified without hurting others, throws if this is not the case. More...

void	do_print (const print_context &c, unsigned level) const
	Default output to stream. More...

void	do_print_tree (const print_tree &c, unsigned level) const
	Tree output to stream. More...

void	do_print_python_repr (const print_python_repr &c, unsigned level) const
	Python parsable output to stream. More...

Protected Member Functions inherited from GiNaC::container_storage< C >
	container_storage ()

	container_storage (size_t n, const ex &e)

	container_storage (std::initializer_list< ex > il)

template<class In >
	container_storage (In b, In e)

void	reserve (size_t)

	~container_storage ()

void	reserve (size_t n)

void	reserve (std::vector< ex > &v, size_t n)

Protected Attributes
unsigned char	representation_label
	Representation label to distinguish independent spin lines. More...

ex	metric
	Metric of the space, all constructors make it an indexed object. More...

int	commutator_sign
	It is the sign in the definition e~i e~j +/- e~j e~i = B(i, j) + B(j, i) More...

Protected Attributes inherited from GiNaC::indexed
ex	symtree
	Index symmetry (tree of symmetry objects) More...

Protected Attributes inherited from GiNaC::basic
unsigned	flags
	of type status_flags More...

unsigned	hashvalue
	hash value More...

Protected Attributes inherited from GiNaC::container_storage< C >
STLT	seq

Additional Inherited Members
Public Types inherited from GiNaC::container< C >
typedef STLT::const_iterator	const_iterator

typedef STLT::const_reverse_iterator	const_reverse_iterator

Protected Types inherited from GiNaC::container< C >
typedef container_storage< C >::STLT	STLT

Protected Types inherited from GiNaC::container_storage< C >
typedef C< ex >	STLT

Static Protected Member Functions inherited from GiNaC::container< C >
static unsigned	get_default_flags ()
	Specialization of container::get_default_flags() for lst. More...

static char	get_open_delim ()
	Specialization of container::get_open_delim() for lst. More...

static char	get_close_delim ()
	Specialization of container::get_close_delim() for lst. More...

Static Protected Member Functions inherited from GiNaC::container_storage< C >
static void	reserve (STLT &, size_t)

Detailed Description

This class holds an object representing an element of the Clifford algebra (the Dirac gamma matrices).

These objects only carry Lorentz indices. Spinor indices are hidden. A representation label (an unsigned 8-bit integer) is used to distinguish elements from different Clifford algebras (objects with different labels commutate).

Definition at line 40 of file clifford.h.

Constructor & Destructor Documentation

◆ clifford() [1/4]

GiNaC::clifford::clifford	(	const ex &	b,
		unsigned char	rl = `0`
	)

Construct object without any indices.

This constructor is for internal use only. Use the dirac_ONE() function instead.

See also: dirac_ONE

Definition at line 96 of file clifford.cpp.

◆ clifford() [2/4]

GiNaC::clifford::clifford	(	const ex &	b,
		const ex &	mu,
		const ex &	metr,
		unsigned char	rl = `0`,
		int	comm_sign = `-1`
	)

Construct object with one Lorentz index.

This constructor is for internal use only. Use the clifford_unit() or dirac_gamma() functions instead.

See also: clifford_unit; dirac_gamma

Definition at line 104 of file clifford.cpp.

References GINAC_ASSERT.

◆ clifford() [3/4]

GiNaC::clifford::clifford	(	unsigned char	rl,
		const ex &	metr,
		int	comm_sign,
		const exvector &	v
	)

Definition at line 109 of file clifford.cpp.

◆ clifford() [4/4]

GiNaC::clifford::clifford	(	unsigned char	rl,
		const ex &	metr,
		int	comm_sign,
		exvector &&	v
	)

Definition at line 113 of file clifford.cpp.

Member Function Documentation

◆ precedence()

unsigned GiNaC::clifford::precedence ( ) const

inlineoverridevirtual

Return relative operator precedence (for parenthezing output).

Reimplemented from GiNaC::basic.

Definition at line 54 of file clifford.h.

Referenced by do_print_dflt(), and do_print_latex().

◆ archive()

void GiNaC::clifford::archive ( archive_node & n ) const

overridevirtual

Save (serialize) the object into archive node.

Archive the object.

Losely speaking, this method turns an expression into a byte stream (which can be saved and restored later on, or sent via network, etc.)

Reimplemented from GiNaC::basic.

Definition at line 137 of file clifford.cpp.

References commutator_sign, metric, n, and representation_label.

◆ read_archive()

void GiNaC::clifford::read_archive	(	const archive_node &	n,
		lst &	syms
	)

overridevirtual

Load (deserialize) the object from an archive node.

Construct object from archive_node.

Note: This method is essentially a constructor. However, constructors can't be virtual. So, if unarchiving routines are implemented as constructors one would need to define such a constructor in every class, even if all it does is simply calling constructor of a superclass.

Reimplemented from GiNaC::basic.

Definition at line 126 of file clifford.cpp.

References commutator_sign, metric, n, and representation_label.

◆ eval_ncmul()

ex GiNaC::clifford::eval_ncmul ( const exvector & v ) const

overrideprotectedvirtual

Perform automatic simplification on noncommutative product of clifford objects.

This removes superfluous ONEs, permutes gamma5/L/R's to the front and removes squares of gamma objects.

Reimplemented from GiNaC::basic.

Definition at line 529 of file clifford.cpp.

◆ match_same_type()

bool GiNaC::clifford::match_same_type ( const basic & other ) const

overrideprotectedvirtual

Returns true if the attributes of two objects are similar enough for a match.

This function must not match subexpressions (this is already done by basic::match()). Only attributes not accessible by op() should be compared. This is also the reason why this function doesn't take the wildcard replacement list from match() as an argument: only subexpressions are subject to wildcard matches. Also, this function only needs to be implemented for container classes because is_equal_same_type() is automatically used instead of match_same_type() if nops() == 0.

See also: basic::match

Reimplemented from GiNaC::basic.

Definition at line 247 of file clifford.cpp.

References commutator_sign, get_commutator_sign(), GINAC_ASSERT, representation_label, and same_metric().

◆ thiscontainer() [1/2]

ex GiNaC::clifford::thiscontainer ( const exvector & v ) const

overrideprotected

Definition at line 693 of file clifford.cpp.

◆ thiscontainer() [2/2]

ex GiNaC::clifford::thiscontainer ( exvector && v ) const

overrideprotected

Definition at line 698 of file clifford.cpp.

◆ return_type()

unsigned GiNaC::clifford::return_type ( ) const

inlineoverrideprotectedvirtual

Reimplemented from GiNaC::basic.

Definition at line 62 of file clifford.h.

References GiNaC::return_types::noncommutative.

◆ return_type_tinfo()

return_type_t GiNaC::clifford::return_type_tinfo ( ) const

overrideprotectedvirtual

Reimplemented from GiNaC::basic.

Definition at line 117 of file clifford.cpp.

References representation_label.

◆ get_representation_label()

unsigned char GiNaC::clifford::get_representation_label ( ) const

inline

Definition at line 66 of file clifford.h.

References representation_label.

◆ get_metric() [1/2]

ex GiNaC::clifford::get_metric ( ) const

inline

Definition at line 67 of file clifford.h.

References metric.

Referenced by same_metric().

◆ get_metric() [2/2]

ex GiNaC::clifford::get_metric	(	const ex &	i,
		const ex &	j,
		bool	symmetrised = `false`
	)		const

virtual

Definition at line 154 of file clifford.cpp.

References GiNaC::_ex1_2, GiNaC::ex::get_free_indices(), GiNaC::indexed::get_symmetry(), GiNaC::indexed::indexed(), metric, GiNaC::subs_options::no_pattern, GiNaC::ex::op(), GiNaC::indexed::simplify_indexed, GiNaC::ex::subs(), and GiNaC::symmetric2().

◆ same_metric()

bool GiNaC::clifford::same_metric ( const ex & other ) const

Definition at line 177 of file clifford.cpp.

References GiNaC::ex::get_free_indices(), get_metric(), GiNaC::ex::is_equal(), GiNaC::ex::is_zero(), GiNaC::ex::op(), op(), and GiNaC::indexed::simplify_indexed.

Referenced by match_same_type().

◆ get_commutator_sign()

int GiNaC::clifford::get_commutator_sign ( ) const

inline

Definition at line 70 of file clifford.h.

References commutator_sign.

Referenced by match_same_type().

◆ nops()

size_t GiNaC::clifford::nops ( ) const

inlineoverridevirtual

Number of operands/members.

Reimplemented from GiNaC::basic.

Definition at line 72 of file clifford.h.

References GiNaC::nops().

Referenced by let_op(), and op().

◆ op()

ex GiNaC::clifford::op ( size_t i ) const

overridevirtual

Return operand/member at position i.

Reimplemented from GiNaC::basic.

Definition at line 198 of file clifford.cpp.

References GINAC_ASSERT, nops(), GiNaC::op(), and representation_label.

Referenced by same_metric().

◆ let_op()

ex & GiNaC::clifford::let_op ( size_t i )

overridevirtual

Return modifiable operand/member at position i.

Reimplemented from GiNaC::basic.

Definition at line 207 of file clifford.cpp.

References GiNaC::basic::ensure_if_modifiable(), GINAC_ASSERT, nops(), and representation_label.

◆ subs()

ex GiNaC::clifford::subs	(	const exmap &	m,
		unsigned	options = `0`
	)		const

overridevirtual

Substitute a set of objects by arbitrary expressions.

The ex returned will already be evaluated.

Reimplemented from GiNaC::basic.

Definition at line 219 of file clifford.cpp.

References GiNaC::are_ex_trivially_equal(), c, m, options, GiNaC::subs(), and GiNaC::ex::subs().

◆ do_print_dflt()

void GiNaC::clifford::do_print_dflt	(	const print_dflt &	c,
		unsigned	level
	)		const

protected

Definition at line 262 of file clifford.cpp.

References c, GiNaC::is_dirac_slash(), precedence(), GiNaC::indexed::printindices(), representation_label, and GiNaC::container_storage< C >::seq.

◆ do_print_latex()

void GiNaC::clifford::do_print_latex	(	const print_latex &	c,
		unsigned	level
	)		const

protected

Definition at line 285 of file clifford.cpp.

References c, GiNaC::is_dirac_slash(), precedence(), representation_label, and GiNaC::container_storage< C >::seq.

◆ do_print_tree()

void GiNaC::clifford::do_print_tree	(	const print_tree &	c,
		unsigned	level
	)		const

protected

Definition at line 298 of file clifford.cpp.

References c, GiNaC::basic::flags, GiNaC::basic::hashvalue, metric, GiNaC::ex::print(), GiNaC::indexed::printindices(), GiNaC::container_storage< C >::seq, and GiNaC::indexed::symtree.

Member Data Documentation

◆ representation_label

unsigned char GiNaC::clifford::representation_label

protected

Representation label to distinguish independent spin lines.

Definition at line 84 of file clifford.h.

Referenced by archive(), do_print_dflt(), do_print_latex(), get_representation_label(), let_op(), match_same_type(), op(), read_archive(), and return_type_tinfo().

◆ metric

ex GiNaC::clifford::metric

protected

Metric of the space, all constructors make it an indexed object.

Definition at line 85 of file clifford.h.

Referenced by archive(), do_print_tree(), get_metric(), and read_archive().

◆ commutator_sign

int GiNaC::clifford::commutator_sign

protected

It is the sign in the definition e~i e~j +/- e~j e~i = B(i, j) + B(j, i)

Definition at line 86 of file clifford.h.

Referenced by archive(), get_commutator_sign(), match_same_type(), and read_archive().

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

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ clifford() [1/4]

◆ clifford() [2/4]

◆ clifford() [3/4]

◆ clifford() [4/4]

Member Function Documentation

◆ precedence()

◆ archive()

◆ read_archive()

◆ eval_ncmul()

◆ match_same_type()

◆ thiscontainer() [1/2]

◆ thiscontainer() [2/2]

◆ return_type()

◆ return_type_tinfo()

◆ get_representation_label()

◆ get_metric() [1/2]

◆ get_metric() [2/2]

◆ same_metric()

◆ get_commutator_sign()

◆ nops()

◆ op()

◆ let_op()

◆ subs()

◆ do_print_dflt()

◆ do_print_latex()

◆ do_print_tree()

Member Data Documentation

◆ representation_label

◆ metric

◆ commutator_sign