A sequence of class expair. More...

#include <expairseq.h>

Inheritance diagram for GiNaC::expairseq:

Public Member Functions
	expairseq (const ex &lh, const ex &rh)

	expairseq (const exvector &v)

	expairseq (const epvector &v, const ex &oc, bool do_index_renaming=false)

	expairseq (epvector &&vp, const ex &oc, bool do_index_renaming=false)

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

bool	info (unsigned inf) const override
	Information about the object. 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	map (map_function &f) const override
	Construct new expression by applying the specified function to all sub-expressions (one level only, not recursively). More...

ex	eval () const override
	Perform coefficient-wise automatic term rewriting rules in this class. More...

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

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

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

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

ex	conjugate () const override

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

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

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

unsigned	return_type () const override

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...

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

virtual ex	thisexpairseq (const epvector &v, const ex &oc, bool do_index_renaming=false) const
	Create an object of this type. More...

virtual ex	thisexpairseq (epvector &&vp, const ex &oc, bool do_index_renaming=false) const

virtual void	printseq (const print_context &c, char delim, unsigned this_precedence, unsigned upper_precedence) const

virtual void	printpair (const print_context &c, const expair &p, unsigned upper_precedence) const

virtual expair	split_ex_to_pair (const ex &e) const
	Form an expair from an ex, using the corresponding semantics. More...

virtual expair	combine_ex_with_coeff_to_pair (const ex &e, const ex &c) const

virtual expair	combine_pair_with_coeff_to_pair (const expair &p, const ex &c) const

virtual ex	recombine_pair_to_ex (const expair &p) const
	Form an ex out of an expair, using the corresponding semantics. More...

virtual bool	expair_needs_further_processing (epp it)

virtual ex	default_overall_coeff () const

virtual void	combine_overall_coeff (const ex &c)

virtual void	combine_overall_coeff (const ex &c1, const ex &c2)

virtual bool	can_make_flat (const expair &p) const

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

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

void	construct_from_2_ex (const ex &lh, const ex &rh)

void	construct_from_2_expairseq (const expairseq &s1, const expairseq &s2)

void	construct_from_expairseq_ex (const expairseq &s, const ex &e)

void	construct_from_exvector (const exvector &v)

void	construct_from_epvector (const epvector &v, bool do_index_renaming=false)

void	construct_from_epvector (epvector &&v, bool do_index_renaming=false)

void	make_flat (const exvector &v)
	Combine this expairseq with argument exvector. More...

void	make_flat (const epvector &v, bool do_index_renaming=false)
	Combine this expairseq with argument epvector. More...

void	canonicalize ()
	Brings this expairseq into a sorted (canonical) form. More...

void	combine_same_terms_sorted_seq ()
	Compact a presorted expairseq by combining all matching expairs to one each. More...

bool	is_canonical () const
	Check if this expairseq is in sorted (canonical) form. More...

epvector	expandchildren (unsigned options) const
	Member-wise expand the expairs in this sequence. More...

epvector	evalchildren () const
	Member-wise evaluate the expairs in this sequence. More...

epvector	subschildren (const exmap &m, unsigned options=0) const
	Member-wise substitute in this sequence. More...

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
epvector	seq

ex	overall_coeff

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

unsigned	hashvalue
	hash value More...

Detailed Description

A sequence of class expair.

This is used for time-critical classes like sums and products of terms since handling a list of coeff and rest is much faster than handling a list of products or powers, respectively. (Not incidentally, Maple does it the same way, maybe others too.) The semantics is (at least) twofold: one for addition and one for multiplication and several methods have to be overridden by derived classes to reflect the change in semantics. However, most functionality turns out to be shared between addition and multiplication, which is the reason why there is this base class.

Definition at line 49 of file expairseq.h.

Constructor & Destructor Documentation

◆ expairseq() [1/4]

GiNaC::expairseq::expairseq	(	const ex &	lh,
		const ex &	rh
	)

Definition at line 80 of file expairseq.cpp.

References construct_from_2_ex(), GINAC_ASSERT, and is_canonical().

Referenced by thisexpairseq().

◆ expairseq() [2/4]

GiNaC::expairseq::expairseq ( const exvector & v )

Definition at line 86 of file expairseq.cpp.

References construct_from_exvector(), GINAC_ASSERT, and is_canonical().

◆ expairseq() [3/4]

GiNaC::expairseq::expairseq	(	const epvector &	v,
		const ex &	oc,
		bool	do_index_renaming = `false`
	)

Definition at line 92 of file expairseq.cpp.

References construct_from_epvector(), GINAC_ASSERT, and is_canonical().

◆ expairseq() [4/4]

GiNaC::expairseq::expairseq	(	epvector &&	vp,
		const ex &	oc,
		bool	do_index_renaming = `false`
	)

Definition at line 100 of file expairseq.cpp.

References construct_from_epvector(), GINAC_ASSERT, and is_canonical().

Member Function Documentation

◆ precedence()

unsigned GiNaC::expairseq::precedence ( ) const

inlineoverridevirtual

Return relative operator precedence (for parenthezing output).

Reimplemented from GiNaC::basic.

Reimplemented in GiNaC::mul.

Definition at line 62 of file expairseq.h.

Referenced by do_print(), and printpair().

◆ info()

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

overridevirtual

Information about the object.

See also: class info_flags

Reimplemented from GiNaC::basic.

Reimplemented in GiNaC::mul.

Definition at line 177 of file expairseq.cpp.

References GiNaC::basic::clearflag(), GiNaC::status_flags::expanded, GiNaC::info_flags::expanded, GiNaC::basic::flags, GiNaC::status_flags::has_indices, GiNaC::info_flags::has_indices, GiNaC::status_flags::has_no_indices, seq, and GiNaC::basic::setflag().

◆ nops()

size_t GiNaC::expairseq::nops ( ) const

overridevirtual

Number of operands/members.

Reimplemented from GiNaC::basic.

Definition at line 202 of file expairseq.cpp.

References default_overall_coeff(), GiNaC::ex::is_equal(), overall_coeff, and seq.

Referenced by GiNaC::algebraic_match_mul_with_mul(), GiNaC::mul::algebraic_subs_mul(), GiNaC::add::conjugate(), GiNaC::add::do_print_python_repr(), GiNaC::mul::do_print_python_repr(), do_print_tree(), GiNaC::power::expand_add(), GiNaC::power::expand_add_2(), GiNaC::add::get_free_indices(), GiNaC::mul::get_free_indices(), GiNaC::mul::has(), and match().

◆ op()

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

overridevirtual

Return operand/member at position i.

Reimplemented from GiNaC::basic.

Definition at line 210 of file expairseq.cpp.

References default_overall_coeff(), GINAC_ASSERT, GiNaC::ex::is_equal(), overall_coeff, recombine_pair_to_ex(), and seq.

Referenced by GiNaC::algebraic_match_mul_with_mul(), GiNaC::mul::algebraic_subs_mul(), GiNaC::add::conjugate(), GiNaC::add::do_print_python_repr(), GiNaC::mul::do_print_python_repr(), GiNaC::add::get_free_indices(), GiNaC::mul::get_free_indices(), match(), GiNaC::add::series(), and GiNaC::mul::series().

◆ map()

ex GiNaC::expairseq::map ( map_function & f ) const

overridevirtual

Construct new expression by applying the specified function to all sub-expressions (one level only, not recursively).

Reimplemented from GiNaC::basic.

Definition at line 218 of file expairseq.cpp.

References default_overall_coeff(), GiNaC::ex::is_equal(), overall_coeff, recombine_pair_to_ex(), seq, split_ex_to_pair(), and thisexpairseq().

◆ eval()

ex GiNaC::expairseq::eval ( ) const

overridevirtual

Perform coefficient-wise automatic term rewriting rules in this class.

Reimplemented from GiNaC::basic.

Reimplemented in GiNaC::mul.

Definition at line 240 of file expairseq.cpp.

References evalchildren(), GiNaC::status_flags::evaluated, GiNaC::basic::flags, GiNaC::basic::hold(), and overall_coeff.

◆ to_rational()

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

overridevirtual

Implementation of ex::to_rational() for expairseqs.

Reimplemented from GiNaC::basic.

Definition at line 2735 of file normal.cpp.

References GiNaC::_ex1, default_overall_coeff(), GiNaC::ex::info(), GiNaC::info_flags::numeric, overall_coeff, recombine_pair_to_ex(), seq, split_ex_to_pair(), thisexpairseq(), GiNaC::ex::to_rational(), and to_rational().

Referenced by to_rational().

◆ to_polynomial()

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

overridevirtual

Implementation of ex::to_polynomial() for expairseqs.

Reimplemented from GiNaC::basic.

Definition at line 2751 of file normal.cpp.

References GiNaC::_ex1, default_overall_coeff(), GiNaC::ex::info(), GiNaC::info_flags::numeric, overall_coeff, recombine_pair_to_ex(), seq, split_ex_to_pair(), thisexpairseq(), GiNaC::ex::to_polynomial(), and to_polynomial().

Referenced by to_polynomial().

◆ match()

bool GiNaC::expairseq::match	(	const ex &	pattern,
		exmap &	repl_lst
	)		const

overridevirtual

Check whether the expression matches a given pattern.

For every wildcard object in the pattern, a pair with the wildcard as a key and matching expression as a value is added to repl_lst.

Reimplemented from GiNaC::basic.

Definition at line 287 of file expairseq.cpp.

References GiNaC::ex::begin(), default_overall_coeff(), GiNaC::ex::is_equal(), GiNaC::match(), GiNaC::ex::nops(), nops(), GiNaC::ex::op(), op(), split_ex_to_pair(), and thisexpairseq().

◆ subs()

ex GiNaC::expairseq::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 377 of file expairseq.cpp.

References GiNaC::subs_options::algebraic, m, GiNaC::subs_options::no_index_renaming, options, overall_coeff, GiNaC::basic::subs_one_level(), subschildren(), and thisexpairseq().

◆ conjugate()

ex GiNaC::expairseq::conjugate ( ) const

overridevirtual

Reimplemented from GiNaC::basic.

Reimplemented in GiNaC::mul.

Definition at line 274 of file expairseq.cpp.

References GiNaC::are_ex_trivially_equal(), GiNaC::ex::conjugate(), GiNaC::conjugateepvector(), overall_coeff, seq, thisexpairseq(), and x.

◆ archive()

void GiNaC::expairseq::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 132 of file expairseq.cpp.

References n, overall_coeff, and seq.

◆ read_archive()

void GiNaC::expairseq::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 112 of file expairseq.cpp.

References canonicalize(), GiNaC::basic::coeff(), GINAC_ASSERT, is_canonical(), n, overall_coeff, and seq.

◆ is_equal_same_type()

bool GiNaC::expairseq::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 419 of file expairseq.cpp.

References GiNaC::ex::is_equal(), overall_coeff, and seq.

◆ return_type()

unsigned GiNaC::expairseq::return_type ( ) const

overrideprotectedvirtual

Reimplemented from GiNaC::basic.

Reimplemented in GiNaC::mul.

Definition at line 441 of file expairseq.cpp.

References GiNaC::return_types::noncommutative_composite.

◆ calchash()

unsigned GiNaC::expairseq::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 446 of file expairseq.cpp.

References GiNaC::status_flags::evaluated, GiNaC::basic::flags, GiNaC::ex::gethash(), GiNaC::status_flags::hash_calculated, GiNaC::basic::hashvalue, GiNaC::make_hash_seed(), overall_coeff, GiNaC::rotate_left(), seq, and GiNaC::basic::setflag().

◆ expand()

ex GiNaC::expairseq::expand ( unsigned options = 0 ) const

overrideprotectedvirtual

Expand expression, i.e.

multiply it out and return the result as a new expression.

Reimplemented from GiNaC::basic.

Reimplemented in GiNaC::mul.

Definition at line 466 of file expairseq.cpp.

References expandchildren(), GiNaC::status_flags::expanded, options, overall_coeff, GiNaC::basic::setflag(), and thisexpairseq().

◆ thisexpairseq() [1/2]

ex GiNaC::expairseq::thisexpairseq	(	const epvector &	v,
		const ex &	oc,
		bool	do_index_renaming = `false`
	)		const

protectedvirtual

Create an object of this type.

This method works similar to a constructor. It is useful because expairseq has (at least) two possible different semantics but we want to inherit methods thus avoiding code duplication. Sometimes a method in expairseq has to create a new one of the same semantics, which cannot be done by a ctor because the name (add, mul,...) is unknown on the expairseq level. In order for this trick to work a derived class must of course override this definition.

Reimplemented in GiNaC::add, and GiNaC::mul.

Definition at line 489 of file expairseq.cpp.

References expairseq().

Referenced by conjugate(), expand(), map(), match(), subs(), to_polynomial(), and to_rational().

◆ thisexpairseq() [2/2]

ex GiNaC::expairseq::thisexpairseq	(	epvector &&	vp,
		const ex &	oc,
		bool	do_index_renaming = `false`
	)		const

protectedvirtual

Reimplemented in GiNaC::add, and GiNaC::mul.

Definition at line 494 of file expairseq.cpp.

References expairseq().

◆ printseq()

void GiNaC::expairseq::printseq	(	const print_context &	c,
		char	delim,
		unsigned	this_precedence,
		unsigned	upper_precedence
	)		const

protectedvirtual

Definition at line 508 of file expairseq.cpp.

References c, default_overall_coeff(), GiNaC::ex::is_equal(), overall_coeff, GiNaC::ex::print(), printpair(), and seq.

Referenced by do_print().

◆ printpair()

void GiNaC::expairseq::printpair	(	const print_context &	c,
		const expair &	p,
		unsigned	upper_precedence
	)		const

protectedvirtual

Definition at line 499 of file expairseq.cpp.

References c, GiNaC::expair::coeff, precedence(), GiNaC::ex::print(), and GiNaC::expair::rest.

Referenced by is_canonical(), and printseq().

◆ split_ex_to_pair()

expair GiNaC::expairseq::split_ex_to_pair ( const ex & e ) const

protectedvirtual

Form an expair from an ex, using the corresponding semantics.

See also: expairseq::recombine_pair_to_ex()

Reimplemented in GiNaC::add, and GiNaC::mul.

Definition at line 532 of file expairseq.cpp.

References GiNaC::_ex1.

Referenced by construct_from_2_ex(), construct_from_expairseq_ex(), make_flat(), map(), match(), subschildren(), to_polynomial(), and to_rational().

◆ combine_ex_with_coeff_to_pair()

expair GiNaC::expairseq::combine_ex_with_coeff_to_pair	(	const ex &	e,
		const ex &	c
	)		const

protectedvirtual

Reimplemented in GiNaC::add, and GiNaC::mul.

Definition at line 538 of file expairseq.cpp.

References c, and GINAC_ASSERT.

Referenced by evalchildren(), and subschildren().

◆ combine_pair_with_coeff_to_pair()

expair GiNaC::expairseq::combine_pair_with_coeff_to_pair	(	const expair &	p,
		const ex &	c
	)		const

protectedvirtual

Reimplemented in GiNaC::add, and GiNaC::mul.

Definition at line 547 of file expairseq.cpp.

References c, GiNaC::expair::coeff, GINAC_ASSERT, and GiNaC::expair::rest.

◆ recombine_pair_to_ex()

ex GiNaC::expairseq::recombine_pair_to_ex ( const expair & p ) const

protectedvirtual

Form an ex out of an expair, using the corresponding semantics.

See also: expairseq::split_ex_to_pair()

Reimplemented in GiNaC::add, and GiNaC::mul.

Definition at line 559 of file expairseq.cpp.

References GiNaC::expair::coeff, and GiNaC::expair::rest.

Referenced by map(), op(), subschildren(), to_polynomial(), and to_rational().

◆ expair_needs_further_processing()

bool GiNaC::expairseq::expair_needs_further_processing ( epp it )

protectedvirtual

Reimplemented in GiNaC::mul.

Definition at line 564 of file expairseq.cpp.

References GiNaC::_ex1.

Referenced by combine_same_terms_sorted_seq(), construct_from_2_expairseq(), and construct_from_expairseq_ex().

◆ default_overall_coeff()

ex GiNaC::expairseq::default_overall_coeff ( ) const

protectedvirtual

Reimplemented in GiNaC::mul.

Definition at line 574 of file expairseq.cpp.

References GiNaC::_ex0.

Referenced by do_print_tree(), map(), match(), nops(), op(), printseq(), to_polynomial(), and to_rational().

◆ combine_overall_coeff() [1/2]

void GiNaC::expairseq::combine_overall_coeff ( const ex & c )

protectedvirtual

Reimplemented in GiNaC::mul.

Definition at line 579 of file expairseq.cpp.

References c, GINAC_ASSERT, and overall_coeff.

Referenced by construct_from_2_ex(), construct_from_2_expairseq(), construct_from_expairseq_ex(), and make_flat().

◆ combine_overall_coeff() [2/2]

void GiNaC::expairseq::combine_overall_coeff	(	const ex &	c1,
		const ex &	c2
	)

protectedvirtual

Reimplemented in GiNaC::mul.

Definition at line 586 of file expairseq.cpp.

References GINAC_ASSERT, and overall_coeff.

◆ can_make_flat()

bool GiNaC::expairseq::can_make_flat ( const expair & p ) const

protectedvirtual

Reimplemented in GiNaC::mul.

Definition at line 595 of file expairseq.cpp.

◆ do_print()

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

protected

Definition at line 149 of file expairseq.cpp.

References c, precedence(), and printseq().

◆ do_print_tree()

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

protected

Definition at line 156 of file expairseq.cpp.

References c, default_overall_coeff(), GiNaC::basic::flags, GiNaC::basic::hashvalue, GiNaC::ex::is_equal(), nops(), overall_coeff, GiNaC::ex::print(), and seq.

◆ construct_from_2_ex()

void GiNaC::expairseq::construct_from_2_ex	(	const ex &	lh,
		const ex &	rh
	)

protected

Definition at line 605 of file expairseq.cpp.

References GiNaC::expair::coeff, combine_overall_coeff(), GiNaC::ex::compare(), construct_from_2_expairseq(), construct_from_expairseq_ex(), GiNaC::info_flags::has_indices, GiNaC::ex::info(), GiNaC::rename_dummy_indices_uniquely(), GiNaC::expair::rest, seq, and split_ex_to_pair().

Referenced by GiNaC::add::add(), expairseq(), and GiNaC::mul::mul().

◆ construct_from_2_expairseq()

void GiNaC::expairseq::construct_from_2_expairseq	(	const expairseq &	s1,
		const expairseq &	s2
	)

protected

Definition at line 667 of file expairseq.cpp.

References combine_overall_coeff(), construct_from_epvector(), expair_needs_further_processing(), GiNaC::numeric::is_zero(), overall_coeff, and seq.

Referenced by construct_from_2_ex().

◆ construct_from_expairseq_ex()

void GiNaC::expairseq::construct_from_expairseq_ex	(	const expairseq &	s,
		const ex &	e
	)

protected

Definition at line 720 of file expairseq.cpp.

References GiNaC::expair::coeff, combine_overall_coeff(), construct_from_epvector(), expair_needs_further_processing(), GiNaC::numeric::is_zero(), last, overall_coeff, GiNaC::expair::rest, seq, and split_ex_to_pair().

Referenced by construct_from_2_ex().

◆ construct_from_exvector()

void GiNaC::expairseq::construct_from_exvector ( const exvector & v )

protected

Definition at line 781 of file expairseq.cpp.

References canonicalize(), combine_same_terms_sorted_seq(), and make_flat().

Referenced by GiNaC::add::add(), expairseq(), and GiNaC::mul::mul().

◆ construct_from_epvector() [1/2]

void GiNaC::expairseq::construct_from_epvector	(	const epvector &	v,
		bool	do_index_renaming = `false`
	)

protected

Definition at line 793 of file expairseq.cpp.

References canonicalize(), combine_same_terms_sorted_seq(), and make_flat().

Referenced by GiNaC::add::add(), combine_same_terms_sorted_seq(), construct_from_2_expairseq(), construct_from_expairseq_ex(), expairseq(), and GiNaC::mul::mul().

◆ construct_from_epvector() [2/2]

void GiNaC::expairseq::construct_from_epvector	(	epvector &&	v,
		bool	do_index_renaming = `false`
	)

protected

Definition at line 805 of file expairseq.cpp.

References canonicalize(), combine_same_terms_sorted_seq(), and make_flat().

◆ make_flat() [1/2]

void GiNaC::expairseq::make_flat ( const exvector & v )

protected

Combine this expairseq with argument exvector.

It cares for associativity as well as for special handling of numerics.

Definition at line 819 of file expairseq.cpp.

References GiNaC::_ex1, combine_overall_coeff(), GiNaC::make_flat_inserter::handle_factor(), GiNaC::info_flags::has_indices, overall_coeff, seq, and split_ex_to_pair().

Referenced by construct_from_epvector(), and construct_from_exvector().

◆ make_flat() [2/2]

void GiNaC::expairseq::make_flat	(	const epvector &	v,
		bool	do_index_renaming = `false`
	)

protected

Combine this expairseq with argument epvector.

It cares for associativity as well as for special handling of numerics.

Definition at line 864 of file expairseq.cpp.

References GiNaC::_ex1, GiNaC::are_ex_trivially_equal(), GiNaC::ex::coeff(), combine_overall_coeff(), GiNaC::make_flat_inserter::handle_factor(), GiNaC::info_flags::has_indices, overall_coeff, and seq.

◆ canonicalize()

void GiNaC::expairseq::canonicalize ( )

protected

Brings this expairseq into a sorted (canonical) form.

Definition at line 915 of file expairseq.cpp.

References seq.

Referenced by construct_from_epvector(), construct_from_exvector(), and read_archive().

◆ combine_same_terms_sorted_seq()

void GiNaC::expairseq::combine_same_terms_sorted_seq ( )

protected

Compact a presorted expairseq by combining all matching expairs to one each.

On an add object, this is responsible for 2*x+3*x+y -> 5*x+y, for instance.

Definition at line 924 of file expairseq.cpp.

References construct_from_epvector(), expair_needs_further_processing(), last, and seq.

Referenced by construct_from_epvector(), and construct_from_exvector().

◆ is_canonical()

bool GiNaC::expairseq::is_canonical ( ) const

protected

Check if this expairseq is in sorted (canonical) form.

Useful mainly for debugging or in assertions since being sorted is an invariance.

Definition at line 972 of file expairseq.cpp.

References printpair(), and seq.

Referenced by GiNaC::add::add(), expairseq(), GiNaC::mul::mul(), and read_archive().

◆ expandchildren()

epvector GiNaC::expairseq::expandchildren ( unsigned options ) const

protected

Member-wise expand the expairs in this sequence.

See also: expairseq::expand()

Returns: epvector containing expanded pairs, empty if no members had to be changed.

Definition at line 1009 of file expairseq.cpp.

References GiNaC::are_ex_trivially_equal(), GiNaC::ex::coeff(), GiNaC::ex::expand(), last, options, and seq.

Referenced by GiNaC::add::expand(), and expand().

◆ evalchildren()

epvector GiNaC::expairseq::evalchildren ( ) const

protected

Member-wise evaluate the expairs in this sequence.

See also: expairseq::eval()

Returns: epvector containing evaluated pairs, empty if no members had to be changed.

Definition at line 1047 of file expairseq.cpp.

References combine_ex_with_coeff_to_pair(), GiNaC::expair::is_equal(), last, seq, and unlikely.

Referenced by GiNaC::add::eval(), eval(), and GiNaC::mul::eval().

◆ subschildren()

epvector GiNaC::expairseq::subschildren	(	const exmap &	m,
		unsigned	options = `0`
	)		const

protected

Member-wise substitute in this sequence.

See also: expairseq::subs()

Returns: epvector containing expanded pairs, empty if no members had to be changed.

Definition at line 1084 of file expairseq.cpp.

References GiNaC::are_ex_trivially_equal(), GiNaC::ex::coeff(), combine_ex_with_coeff_to_pair(), GiNaC::expair::is_equal(), last, m, options, GiNaC::subs_options::pattern_is_not_product, GiNaC::subs_options::pattern_is_product, recombine_pair_to_ex(), seq, split_ex_to_pair(), and GiNaC::ex::subs().

Referenced by subs().

Member Data Documentation

◆ seq

epvector GiNaC::expairseq::seq

protected

Definition at line 127 of file expairseq.h.

Referenced by archive(), calchash(), GiNaC::mul::can_be_further_expanded(), canonicalize(), GiNaC::add::coeff(), GiNaC::mul::coeff(), combine_same_terms_sorted_seq(), conjugate(), GiNaC::mul::conjugate(), construct_from_2_ex(), construct_from_2_expairseq(), construct_from_expairseq_ex(), GiNaC::add::degree(), GiNaC::mul::degree(), GiNaC::add::derivative(), GiNaC::mul::derivative(), GiNaC::mul::do_print(), GiNaC::add::do_print_csrc(), GiNaC::mul::do_print_csrc(), GiNaC::mul::do_print_latex(), do_print_tree(), GiNaC::add::eval(), GiNaC::mul::eval(), GiNaC::power::eval(), GiNaC::add::eval_ncmul(), GiNaC::mul::eval_ncmul(), evalchildren(), GiNaC::mul::evalf(), GiNaC::add::evalm(), GiNaC::mul::evalm(), GiNaC::mul::expand(), GiNaC::power::expand(), GiNaC::power::expand_add(), GiNaC::power::expand_add_2(), expandchildren(), GiNaC::mul::expandchildren(), GiNaC::mul::find_real_imag(), GiNaC::add::imag_part(), GiNaC::add::info(), info(), GiNaC::mul::info(), GiNaC::add::integer_content(), GiNaC::mul::integer_content(), is_canonical(), is_equal_same_type(), GiNaC::add::is_polynomial(), GiNaC::mul::is_polynomial(), GiNaC::add::ldegree(), GiNaC::mul::ldegree(), make_flat(), map(), GiNaC::add::max_coefficient(), GiNaC::mul::max_coefficient(), nops(), GiNaC::add::normal(), GiNaC::mul::normal(), op(), GiNaC::add::print_add(), printseq(), read_archive(), GiNaC::add::real_part(), GiNaC::add::return_type(), GiNaC::mul::return_type(), GiNaC::add::return_type_tinfo(), GiNaC::mul::return_type_tinfo(), GiNaC::add::series(), GiNaC::mul::series(), GiNaC::add::smod(), GiNaC::mul::smod(), subschildren(), to_polynomial(), and to_rational().

◆ overall_coeff

ex GiNaC::expairseq::overall_coeff

protected

Definition at line 128 of file expairseq.h.

Referenced by GiNaC::add::add(), archive(), calchash(), GiNaC::add::coeff(), GiNaC::mul::coeff(), GiNaC::add::combine_ex_with_coeff_to_pair(), combine_overall_coeff(), GiNaC::mul::combine_overall_coeff(), conjugate(), GiNaC::mul::conjugate(), construct_from_2_expairseq(), construct_from_expairseq_ex(), GiNaC::add::degree(), GiNaC::mul::derivative(), GiNaC::add::do_print_csrc(), GiNaC::mul::do_print_csrc(), do_print_tree(), GiNaC::add::eval(), eval(), GiNaC::mul::eval(), GiNaC::power::eval(), GiNaC::mul::evalf(), GiNaC::add::evalm(), GiNaC::mul::evalm(), GiNaC::add::expand(), expand(), GiNaC::mul::expand(), GiNaC::power::expand(), GiNaC::power::expand_add(), GiNaC::power::expand_add_2(), GiNaC::mul::find_real_imag(), GiNaC::add::imag_part(), GiNaC::add::info(), GiNaC::mul::info(), GiNaC::add::integer_content(), GiNaC::mul::integer_content(), is_equal_same_type(), GiNaC::add::ldegree(), make_flat(), map(), GiNaC::add::max_coefficient(), GiNaC::mul::max_coefficient(), GiNaC::mul::mul(), nops(), GiNaC::add::normal(), GiNaC::mul::normal(), op(), GiNaC::add::print_add(), GiNaC::mul::print_overall_coeff(), printseq(), read_archive(), GiNaC::add::real_part(), GiNaC::add::series(), GiNaC::mul::series(), GiNaC::add::smod(), GiNaC::mul::smod(), GiNaC::add::split_ex_to_pair(), subs(), to_polynomial(), and to_rational().

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

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ expairseq() [1/4]

◆ expairseq() [2/4]

◆ expairseq() [3/4]

◆ expairseq() [4/4]

Member Function Documentation

◆ precedence()

◆ info()

◆ nops()

◆ op()

◆ map()

◆ eval()

◆ to_rational()

◆ to_polynomial()

◆ match()

◆ subs()

◆ conjugate()

◆ archive()

◆ read_archive()

◆ is_equal_same_type()

◆ return_type()

◆ calchash()

◆ expand()

◆ thisexpairseq() [1/2]

◆ thisexpairseq() [2/2]

◆ printseq()

◆ printpair()

◆ split_ex_to_pair()

◆ combine_ex_with_coeff_to_pair()

◆ combine_pair_with_coeff_to_pair()

◆ recombine_pair_to_ex()

◆ expair_needs_further_processing()

◆ default_overall_coeff()

◆ combine_overall_coeff() [1/2]

◆ combine_overall_coeff() [2/2]

◆ can_make_flat()

◆ do_print()

◆ do_print_tree()

◆ construct_from_2_ex()

◆ construct_from_2_expairseq()

◆ construct_from_expairseq_ex()

◆ construct_from_exvector()

◆ construct_from_epvector() [1/2]

◆ construct_from_epvector() [2/2]

◆ make_flat() [1/2]

◆ make_flat() [2/2]

◆ canonicalize()

◆ combine_same_terms_sorted_seq()

◆ is_canonical()

◆ expandchildren()

◆ evalchildren()

◆ subschildren()

Member Data Documentation

◆ seq

◆ overall_coeff