Basic CAS symbol. More...

#include <symbol.h>

Inheritance diagram for GiNaC::symbol:

Public Member Functions
	symbol (const std::string &initname)

	symbol (const std::string &initname, const std::string &texname)

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

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

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

ex	series (const relational &s, int order, unsigned options=0) const override
	Implementation of ex::series() for symbols. More...

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

ex	normal (exmap &repl, exmap &rev_lookup, lst &modifier) const override
	Implementation of ex::normal() for symbols. More...

ex	to_rational (exmap &repl) const override
	Implementation of ex::to_rational() for symbols. More...

ex	to_polynomial (exmap &repl) const override
	Implementation of ex::to_polynomial() for symbols. More...

ex	conjugate () const override

ex	real_part () const override

ex	imag_part () const override

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

virtual unsigned	get_domain () const

void	set_name (const std::string &n)

void	set_TeX_name (const std::string &n)

std::string	get_name () const

std::string	get_TeX_name () 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	derivative (const symbol &s) const override
	Implementation of ex::diff() for single differentiation of a symbol. More...

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

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

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	do_print_python_repr (const print_python_repr &c, unsigned level) 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 Attributes
unsigned	serial
	unique serial number for comparison More...

std::string	name
	printname of this symbol More...

std::string	TeX_name
	LaTeX name of this symbol. More...

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

unsigned	hashvalue
	hash value More...

Static Private Attributes
static unsigned	next_serial = 0

Detailed Description

Basic CAS symbol.

It has a name because it must know how to output itself.

Definition at line 38 of file symbol.h.

Constructor & Destructor Documentation

◆ symbol() [1/2]

GiNaC::symbol::symbol ( const std::string & initname )

explicit

Definition at line 69 of file symbol.cpp.

References GiNaC::status_flags::evaluated, GiNaC::status_flags::expanded, and GiNaC::basic::setflag().

◆ symbol() [2/2]

GiNaC::symbol::symbol	(	const std::string &	initname,
		const std::string &	texname
	)

Definition at line 75 of file symbol.cpp.

References GiNaC::status_flags::evaluated, GiNaC::status_flags::expanded, and GiNaC::basic::setflag().

Member Function Documentation

◆ info()

bool GiNaC::symbol::info ( unsigned inf ) const

overridevirtual

Information about the object.

See also: class info_flags

Reimplemented from GiNaC::basic.

Definition at line 206 of file symbol.cpp.

References GiNaC::info_flags::cinteger_polynomial, GiNaC::info_flags::crational_polynomial, GiNaC::info_flags::expanded, get_domain(), GiNaC::info_flags::has_indices, GiNaC::info_flags::integer_polynomial, GiNaC::info_flags::nonnegative, GiNaC::info_flags::polynomial, GiNaC::domain::positive, GiNaC::info_flags::positive, GiNaC::info_flags::rational_function, GiNaC::info_flags::rational_polynomial, GiNaC::domain::real, GiNaC::info_flags::real, and GiNaC::info_flags::symbol.

Referenced by GiNaC::conjugate_expl_derivative(), GiNaC::imag_part_expl_derivative(), and GiNaC::real_part_expl_derivative().

◆ eval()

ex GiNaC::symbol::eval ( ) const

inlineoverridevirtual

Perform automatic non-interruptive term rewriting rules.

Reimplemented from GiNaC::basic.

Definition at line 49 of file symbol.h.

◆ evalf()

ex GiNaC::symbol::evalf ( ) const

inlineoverridevirtual

Evaluate object numerically.

Reimplemented from GiNaC::basic.

Definition at line 50 of file symbol.h.

◆ series()

ex GiNaC::symbol::series	(	const relational &	r,
		int	order,
		unsigned	options = `0`
	)		const

overridevirtual

Implementation of ex::series() for symbols.

See also: ex::series

Reimplemented from GiNaC::basic.

Definition at line 656 of file pseries.cpp.

References GiNaC::_ex0, GiNaC::_ex1, GINAC_ASSERT, is_equal_same_type(), GiNaC::ex::is_zero(), order, and r.

◆ subs()

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

inlineoverridevirtual

Substitute a set of objects by arbitrary expressions.

The ex returned will already be evaluated.

Reimplemented from GiNaC::basic.

Definition at line 52 of file symbol.h.

References m, options, and GiNaC::basic::subs_one_level().

◆ normal()

ex GiNaC::symbol::normal	(	exmap &	repl,
		exmap &	rev_lookup,
		lst &	modifier
	)		const

overridevirtual

Implementation of ex::normal() for symbols.

This returns the unmodified symbol.

See also: ex::normal

Reimplemented from GiNaC::basic.

Definition at line 2242 of file normal.cpp.

References GiNaC::_ex1.

◆ to_rational()

ex GiNaC::symbol::to_rational ( exmap & repl ) const

overridevirtual

Implementation of ex::to_rational() for symbols.

This returns the unmodified symbol.

Reimplemented from GiNaC::basic.

Definition at line 2652 of file normal.cpp.

◆ to_polynomial()

ex GiNaC::symbol::to_polynomial ( exmap & repl ) const

overridevirtual

Implementation of ex::to_polynomial() for symbols.

This returns the unmodified symbol.

Reimplemented from GiNaC::basic.

Definition at line 2659 of file normal.cpp.

◆ conjugate()

ex GiNaC::symbol::conjugate ( ) const

overridevirtual

Reimplemented from GiNaC::basic.

Reimplemented in GiNaC::realsymbol.

Definition at line 229 of file symbol.cpp.

◆ real_part()

ex GiNaC::symbol::real_part ( ) const

overridevirtual

Reimplemented from GiNaC::basic.

Reimplemented in GiNaC::realsymbol.

Definition at line 234 of file symbol.cpp.

◆ imag_part()

ex GiNaC::symbol::imag_part ( ) const

overridevirtual

Reimplemented from GiNaC::basic.

Reimplemented in GiNaC::realsymbol.

Definition at line 239 of file symbol.cpp.

◆ is_polynomial()

bool GiNaC::symbol::is_polynomial ( const ex & var ) const

overridevirtual

Check whether this is a polynomial in the given variables.

Reimplemented from GiNaC::basic.

Definition at line 244 of file symbol.cpp.

◆ archive()

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

overridevirtual

Save (a.k.a.

Archive the object.

serialize) object into archive.

Reimplemented from GiNaC::basic.

Definition at line 133 of file symbol.cpp.

References n, name, and TeX_name.

◆ read_archive()

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

overridevirtual

Read (a.k.a.

Read object from archive_node.

deserialize) object from archive.

Reimplemented from GiNaC::basic.

Definition at line 100 of file symbol.cpp.

References GiNaC::container< C >::append(), GiNaC::status_flags::dynallocated, GiNaC::status_flags::evaluated, GiNaC::status_flags::expanded, n, name, next_serial, serial, GiNaC::basic::setflag(), and TeX_name.

◆ derivative()

ex GiNaC::symbol::derivative ( const symbol & s ) const

overrideprotectedvirtual

Implementation of ex::diff() for single differentiation of a symbol.

It returns 1 or 0.

See also: ex::diff

Reimplemented from GiNaC::basic.

Definition at line 255 of file symbol.cpp.

References GiNaC::_ex0, GiNaC::_ex1, and GiNaC::basic::compare_same_type().

◆ is_equal_same_type()

bool GiNaC::symbol::is_equal_same_type ( const basic & other ) const

overrideprotectedvirtual

Returns true if two objects of same type are equal.

Normally needs not be reimplemented as long as it wasn't overwritten by some parent class, since it just calls compare_same_type(). The reason why this function exists is that sometimes it is easier to determine equality than an order relation and then it can be overridden.

Reimplemented from GiNaC::basic.

Definition at line 271 of file symbol.cpp.

References GINAC_ASSERT, and serial.

Referenced by series().

◆ calchash()

unsigned GiNaC::symbol::calchash ( ) const

overrideprotectedvirtual

Compute the hash value of an object and if it makes sense to store it in the objects status_flags, do so.

The method inherited from class basic computes a hash value based on the type and hash values of possible members. For this reason it is well suited for container classes but atomic classes should override this implementation because otherwise they would all end up with the same hashvalue.

Reimplemented from GiNaC::basic.

Definition at line 278 of file symbol.cpp.

References GiNaC::golden_ratio_hash(), GiNaC::status_flags::hash_calculated, GiNaC::basic::hashvalue, GiNaC::make_hash_seed(), serial, and GiNaC::basic::setflag().

◆ get_domain()

virtual unsigned GiNaC::symbol::get_domain ( ) const

inlinevirtual

Reimplemented in GiNaC::realsymbol, and GiNaC::possymbol.

Definition at line 71 of file symbol.h.

References GiNaC::domain::complex.

Referenced by do_print_tree(), and info().

◆ set_name()

void GiNaC::symbol::set_name ( const std::string & n )

inline

Definition at line 75 of file symbol.h.

References n, and name.

◆ set_TeX_name()

void GiNaC::symbol::set_TeX_name ( const std::string & n )

inline

Definition at line 76 of file symbol.h.

References n, and TeX_name.

◆ get_name()

std::string GiNaC::symbol::get_name ( ) const

Definition at line 152 of file symbol.cpp.

References name, and serial.

Referenced by do_print(), and get_TeX_name().

◆ get_TeX_name()

std::string GiNaC::symbol::get_TeX_name ( ) const

Definition at line 160 of file symbol.cpp.

References GiNaC::get_default_TeX_name(), get_name(), and TeX_name.

◆ do_print()

void GiNaC::symbol::do_print	(	const print_context &	c,
		unsigned	level
	)		const

protected

Definition at line 170 of file symbol.cpp.

References c, and get_name().

◆ do_print_latex()

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

protected

Definition at line 175 of file symbol.cpp.

References c, GiNaC::get_default_TeX_name(), name, serial, and TeX_name.

◆ do_print_tree()

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

protected

Definition at line 185 of file symbol.cpp.

References c, GiNaC::basic::flags, get_domain(), GiNaC::basic::hashvalue, name, and serial.

◆ do_print_python_repr()

void GiNaC::symbol::do_print_python_repr	(	const print_python_repr &	c,
		unsigned	level
	)		const

protected

Definition at line 194 of file symbol.cpp.

References c, name, serial, and TeX_name.

Member Data Documentation

◆ serial

unsigned GiNaC::symbol::serial

protected

unique serial number for comparison

Definition at line 88 of file symbol.h.

Referenced by calchash(), do_print_latex(), do_print_python_repr(), do_print_tree(), get_name(), is_equal_same_type(), and read_archive().

◆ name

std::string GiNaC::symbol::name

mutableprotected

printname of this symbol

Definition at line 89 of file symbol.h.

Referenced by archive(), do_print_latex(), do_print_python_repr(), do_print_tree(), get_name(), read_archive(), and set_name().

◆ TeX_name

std::string GiNaC::symbol::TeX_name

protected

LaTeX name of this symbol.

Definition at line 90 of file symbol.h.

Referenced by archive(), do_print_latex(), do_print_python_repr(), get_TeX_name(), read_archive(), and set_TeX_name().

◆ next_serial

unsigned GiNaC::symbol::next_serial = 0

staticprivate

Definition at line 92 of file symbol.h.

Referenced by read_archive().

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

Public Member Functions

Protected Member Functions

Protected Attributes

Static Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ symbol() [1/2]

◆ symbol() [2/2]

Member Function Documentation

◆ info()

◆ eval()

◆ evalf()

◆ series()

◆ subs()

◆ normal()

◆ to_rational()

◆ to_polynomial()

◆ conjugate()

◆ real_part()

◆ imag_part()

◆ is_polynomial()

◆ archive()

◆ read_archive()

◆ derivative()

◆ is_equal_same_type()

◆ calchash()

◆ get_domain()

◆ set_name()

◆ set_TeX_name()

◆ get_name()

◆ get_TeX_name()

◆ do_print()

◆ do_print_latex()

◆ do_print_tree()

◆ do_print_python_repr()

Member Data Documentation

◆ serial

◆ name

◆ TeX_name

◆ next_serial