This class holds a extended truncated power series (positive and negative integer powers). More...

#include <pseries.h>

Inheritance diagram for GiNaC::pseries:

Public Member Functions
	pseries (const ex &rel_, const epvector &ops_)
	Construct pseries from a vector of coefficients and powers. More...

	pseries (const ex &rel_, epvector &&ops_)

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

size_t	nops () const override
	Return the number of operands including a possible order term. More...

ex	op (size_t i) const override
	Return the ith term in the series when represented as a sum. More...

int	degree (const ex &s) const override
	Return degree of highest power of the series. More...

int	ldegree (const ex &s) const override
	Return degree of lowest power of the series. More...

ex	coeff (const ex &s, int n=1) const override
	Return coefficient of degree n in power series if s is the expansion variable. More...

ex	collect (const ex &s, bool distributed=false) const override
	Does nothing. More...

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

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

ex	series (const relational &r, int order, unsigned options=0) const override
	Re-expansion of a pseries object. 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 pseries. More...

ex	expand (unsigned options=0) const override
	Implementation of ex::expand() for a power series. More...

ex	conjugate () const override

ex	real_part () const override

ex	imag_part () const override

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

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

ex	get_var () const
	Get the expansion variable. More...

ex	get_point () const
	Get the expansion point. More...

ex	convert_to_poly (bool no_order=false) const
	Convert the pseries object to an ordinary polynomial. More...

bool	is_compatible_to (const pseries &other) const
	Check whether series is compatible to another series (expansion variable and point are the same. More...

bool	is_zero () const
	Check whether series has the value zero. More...

bool	is_terminating () const
	Returns true if there is no order term, i.e. More...

ex	coeffop (size_t i) const
	Get coefficients and exponents. More...

ex	exponop (size_t i) const

ex	add_series (const pseries &other) const
	Add one series object to another, producing a pseries object that represents the sum. More...

ex	mul_const (const numeric &other) const
	Multiply a pseries object with a numeric constant, producing a pseries object that represents the product. More...

ex	mul_series (const pseries &other) const
	Multiply one pseries object to another, producing a pseries object that represents the product. More...

ex	power_const (const numeric &p, int deg) const
	Compute the p-th power of a series. More...

pseries	shift_exponents (int deg) const
	Return a new pseries object with the powers shifted by deg. 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
ex	derivative (const symbol &s) const override
	Implementation of ex::diff() for a power series. More...

void	print_series (const print_context &c, const char openbrace, const char closebrace, const char mul_sym, const char pow_sym, 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	do_print_python (const print_python &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
epvector	seq
	Vector of {coefficient, power} pairs. More...

ex	var
	Series variable (holds a symbol) More...

ex	point
	Expansion point. More...

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

unsigned	hashvalue
	hash value More...

Detailed Description

This class holds a extended truncated power series (positive and negative integer powers).

It consists of expression coefficients (only non-zero coefficients are stored), an expansion variable and an expansion point. Other classes must provide members to convert into this type.

Definition at line 35 of file pseries.h.

Constructor & Destructor Documentation

◆ pseries() [1/2]

GiNaC::pseries::pseries	(	const ex &	rel_,
		const epvector &	ops_
	)

Construct pseries from a vector of coefficients and powers.

expair.rest holds the coefficient, expair.coeff holds the power. The powers must be integers (positive or negative) and in ascending order; the last coefficient can be Order(_ex1) to represent a truncated, non-terminating series.

Parameters

rel_	expansion variable and point (must hold a relational)
ops_	vector of {coefficient, power} pairs (coefficient must not be zero)

Definition at line 70 of file pseries.cpp.

References GINAC_ASSERT, GiNaC::is_order_function(), GiNaC::ex::lhs(), point, GiNaC::ex::rhs(), seq, and var.

Referenced by add_series(), derivative(), mul_const(), mul_series(), normal(), power_const(), series(), and shift_exponents().

◆ pseries() [2/2]

GiNaC::pseries::pseries	(	const ex &	rel_,
		epvector &&	ops_
	)

Definition at line 91 of file pseries.cpp.

References GINAC_ASSERT, GiNaC::is_order_function(), GiNaC::ex::lhs(), point, GiNaC::ex::rhs(), seq, and var.

Member Function Documentation

◆ precedence()

unsigned GiNaC::pseries::precedence ( ) const

inlineoverridevirtual

Return relative operator precedence (for parenthezing output).

Reimplemented from GiNaC::basic.

Definition at line 46 of file pseries.h.

Referenced by print_series().

◆ nops()

size_t GiNaC::pseries::nops ( ) const

overridevirtual

Return the number of operands including a possible order term.

Reimplemented from GiNaC::basic.

Definition at line 295 of file pseries.cpp.

References seq.

Referenced by coeffop(), exponop(), and GiNaC::log_series().

◆ op()

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

overridevirtual

Return the ith term in the series when represented as a sum.

Reimplemented from GiNaC::basic.

Definition at line 301 of file pseries.cpp.

References coeff(), GiNaC::is_order_function(), point, GiNaC::pow(), seq, and var.

◆ degree()

int GiNaC::pseries::degree ( const ex & s ) const

overridevirtual

Return degree of highest power of the series.

This is usually the exponent of the Order term. If s is not the expansion variable of the series, the series is examined termwise.

Reimplemented from GiNaC::basic.

Definition at line 314 of file pseries.cpp.

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

Referenced by mul_series(), power_const(), and series().

◆ ldegree()

int GiNaC::pseries::ldegree ( const ex & s ) const

overridevirtual

Return degree of lowest power of the series.

This is usually the exponent of the leading term. If s is not the expansion variable of the series, the series is examined termwise. If s is the expansion variable but the expansion point is not zero the series is not expanded to find the degree. I.e.: (1-x) + (1-x)^2 + Order((1-x)^3) has ldegree(x) 1, not 0.

Reimplemented from GiNaC::basic.

Definition at line 334 of file pseries.cpp.

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

Referenced by GiNaC::log_series(), mul_series(), and power_const().

◆ coeff()

ex GiNaC::pseries::coeff	(	const ex &	s,
		int	n = `1`
	)		const

overridevirtual

Return coefficient of degree n in power series if s is the expansion variable.

If the expansion point is nonzero, by definition the n=1 coefficient in s of a+b*(s-z)+c*(s-z)^2+Order((s-z)^3) is b (assuming the expansion took place in the s in the first place). If s is not the expansion variable, an attempt is made to convert the series to a polynomial and return the corresponding coefficient from there.

Reimplemented from GiNaC::basic.

Definition at line 356 of file pseries.cpp.

References GiNaC::_ex0, GiNaC::ex::coeff(), coeff(), convert_to_poly(), GINAC_ASSERT, GiNaC::ex::is_equal(), n, seq, and var.

Referenced by coeff(), GiNaC::log_series(), mul_series(), op(), power_const(), and read_archive().

◆ collect()

ex GiNaC::pseries::collect	(	const ex &	s,
		bool	distributed = `false`
	)		const

overridevirtual

Does nothing.

Reimplemented from GiNaC::basic.

Definition at line 388 of file pseries.cpp.

◆ eval()

ex GiNaC::pseries::eval ( ) const

overridevirtual

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

Reimplemented from GiNaC::basic.

Definition at line 394 of file pseries.cpp.

References GiNaC::basic::hold().

◆ evalf()

ex GiNaC::pseries::evalf ( ) const

overridevirtual

Evaluate coefficients numerically.

Reimplemented from GiNaC::basic.

Definition at line 400 of file pseries.cpp.

References GiNaC::status_flags::evaluated, point, seq, and var.

◆ series()

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

overridevirtual

Re-expansion of a pseries object.

Reimplemented from GiNaC::basic.

Definition at line 1182 of file pseries.cpp.

References GiNaC::_ex1, convert_to_poly(), degree(), GINAC_ASSERT, GiNaC::ex::is_equal(), options, order, point, pseries(), r, seq, GiNaC::ex::series(), and var.

◆ subs()

ex GiNaC::pseries::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 507 of file pseries.cpp.

References convert_to_poly(), m, options, point, seq, GiNaC::ex::subs(), and var.

◆ normal()

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

overridevirtual

Implementation of ex::normal() for pseries.

It normalizes each coefficient and replaces the series by a temporary symbol.

See also: ex::normal

Reimplemented from GiNaC::basic.

Definition at line 2495 of file normal.cpp.

References GiNaC::_ex1, GiNaC::ex::coeff(), GiNaC::ex::is_zero(), n, GiNaC::ex::normal(), point, pseries(), GiNaC::replace_with_symbol(), seq, and var.

◆ expand()

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

overridevirtual

Implementation of ex::expand() for a power series.

It expands all the terms individually and returns the resulting series as a new pseries.

Reimplemented from GiNaC::basic.

Definition at line 526 of file pseries.cpp.

References GiNaC::ex::coeff(), GiNaC::ex::expand(), GiNaC::status_flags::expanded, GiNaC::ex::is_zero(), options, point, seq, and var.

◆ conjugate()

ex GiNaC::pseries::conjugate ( ) const

overridevirtual

Reimplemented from GiNaC::basic.

Definition at line 411 of file pseries.cpp.

References GiNaC::are_ex_trivially_equal(), GiNaC::ex::conjugate(), GiNaC::conjugateepvector(), GiNaC::ex::info(), point, GiNaC::info_flags::real, seq, and var.

◆ real_part()

ex GiNaC::pseries::real_part ( ) const

overridevirtual

Reimplemented from GiNaC::basic.

Definition at line 426 of file pseries.cpp.

References GiNaC::ex::info(), point, GiNaC::info_flags::real, GiNaC::ex::real_part(), seq, and var.

◆ imag_part()

ex GiNaC::pseries::imag_part ( ) const

overridevirtual

Reimplemented from GiNaC::basic.

Definition at line 441 of file pseries.cpp.

References GiNaC::ex::info(), point, GiNaC::info_flags::real, GiNaC::ex::real_part(), seq, and var.

◆ eval_integ()

ex GiNaC::pseries::eval_integ ( ) const

overridevirtual

Evaluate integrals, if result is known.

Reimplemented from GiNaC::basic.

Definition at line 456 of file pseries.cpp.

References GiNaC::are_ex_trivially_equal(), GiNaC::ex::coeff(), GiNaC::ex::eval_integ(), point, seq, and var.

◆ evalm()

ex GiNaC::pseries::evalm ( ) const

overridevirtual

Evaluate sums, products and integer powers of matrices.

Reimplemented from GiNaC::basic.

Definition at line 480 of file pseries.cpp.

References GiNaC::are_ex_trivially_equal(), GiNaC::ex::coeff(), GiNaC::ex::evalm(), GiNaC::ex::is_zero(), point, seq, and var.

◆ archive()

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

overridevirtual

Save (a.k.a.

serialize) object into archive.

Reimplemented from GiNaC::basic.

Definition at line 136 of file pseries.cpp.

References n, point, seq, and var.

◆ read_archive()

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

overridevirtual

Read (a.k.a.

deserialize) object from archive.

Reimplemented from GiNaC::basic.

Definition at line 118 of file pseries.cpp.

References coeff(), n, point, seq, and var.

◆ derivative()

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

overrideprotectedvirtual

Implementation of ex::diff() for a power series.

See also: ex::diff

Reimplemented from GiNaC::basic.

Definition at line 539 of file pseries.cpp.

References c, GiNaC::is_order_function(), point, pseries(), seq, and var.

◆ get_var()

ex GiNaC::pseries::get_var ( ) const

inline

Get the expansion variable.

Definition at line 74 of file pseries.h.

References var.

◆ get_point()

ex GiNaC::pseries::get_point ( ) const

inline

Get the expansion point.

Definition at line 77 of file pseries.h.

References point.

◆ convert_to_poly()

ex GiNaC::pseries::convert_to_poly ( bool no_order = false ) const

Convert the pseries object to an ordinary polynomial.

Parameters

no_order flag: discard higher order terms

Definition at line 572 of file pseries.cpp.

References GiNaC::ex::coeff(), GiNaC::is_order_function(), point, GiNaC::pow(), seq, and var.

Referenced by coeff(), series(), and subs().

◆ is_compatible_to()

bool GiNaC::pseries::is_compatible_to ( const pseries & other ) const

inline

Check whether series is compatible to another series (expansion variable and point are the same.

Definition at line 86 of file pseries.h.

References GiNaC::ex::is_equal(), point, and var.

Referenced by add_series(), and mul_series().

◆ is_zero()

bool GiNaC::pseries::is_zero ( ) const

inline

Check whether series has the value zero.

Definition at line 89 of file pseries.h.

References seq.

Referenced by power_const().

◆ is_terminating()

bool GiNaC::pseries::is_terminating ( ) const

Returns true if there is no order term, i.e.

the series terminates and false otherwise.

Definition at line 585 of file pseries.cpp.

References GiNaC::is_order_function(), and seq.

Referenced by GiNaC::is_terminating(), and GiNaC::log_series().

◆ coeffop()

ex GiNaC::pseries::coeffop ( size_t i ) const

Get coefficients and exponents.

Definition at line 590 of file pseries.cpp.

References nops(), and seq.

◆ exponop()

ex GiNaC::pseries::exponop ( size_t i ) const

Definition at line 597 of file pseries.cpp.

References nops(), and seq.

◆ add_series()

ex GiNaC::pseries::add_series ( const pseries & other ) const

Add one series object to another, producing a pseries object that represents the sum.

Parameters

other pseries object to add with

Returns: the sum as a pseries

Definition at line 680 of file pseries.cpp.

References GiNaC::_ex0, GiNaC::_ex1, is_compatible_to(), GiNaC::is_order_function(), GiNaC::ex::is_zero(), point, pseries(), seq, and var.

Referenced by GiNaC::log_series().

◆ mul_const()

ex GiNaC::pseries::mul_const ( const numeric & other ) const

Multiply a pseries object with a numeric constant, producing a pseries object that represents the product.

Parameters

other constant to multiply with

Returns: the product as a pseries

Definition at line 778 of file pseries.cpp.

References GiNaC::numeric::coeff(), GiNaC::is_order_function(), point, pseries(), seq, and var.

Referenced by GiNaC::mul::series().

◆ mul_series()

ex GiNaC::pseries::mul_series ( const pseries & other ) const

Multiply one pseries object to another, producing a pseries object that represents the product.

Parameters

other pseries object to multiply with

Returns: the product as a pseries

Definition at line 798 of file pseries.cpp.

References GiNaC::_ex0, GiNaC::_ex1, coeff(), degree(), GiNaC::ex::find(), is_compatible_to(), GiNaC::ex::is_equal(), GiNaC::is_order_function(), GiNaC::ex::is_zero(), ldegree(), point, pseries(), seq, and var.

Referenced by GiNaC::mul::series().

◆ power_const()

ex GiNaC::pseries::power_const	(	const numeric &	p,
		int	deg
	)		const

Compute the p-th power of a series.

Parameters

p	power to compute
deg	truncation order of series calculation

Definition at line 975 of file pseries.cpp.

References GiNaC::_ex0, GiNaC::_ex1, c, coeff(), degree(), GiNaC::is_integer(), GiNaC::numeric::is_negative(), GiNaC::is_order_function(), GiNaC::numeric::is_pos_integer(), GiNaC::numeric::is_zero(), is_zero(), ldegree(), point, GiNaC::pow(), pseries(), GiNaC::numeric::real(), seq, GiNaC::to_int(), and var.

◆ shift_exponents()

pseries GiNaC::pseries::shift_exponents ( int deg ) const

Return a new pseries object with the powers shifted by deg.

Definition at line 1073 of file pseries.cpp.

References point, pseries(), seq, and var.

◆ print_series()

void GiNaC::pseries::print_series	(	const print_context &	c,
		const char *	openbrace,
		const char *	closebrace,
		const char *	mul_sym,
		const char *	pow_sym,
		unsigned	level
	)		const

protected

Definition at line 152 of file pseries.cpp.

References GiNaC::_ex1, c, GiNaC::ex::coeff(), GiNaC::is_order_function(), GiNaC::ex::is_zero(), GiNaC::info_flags::negative, GiNaC::info_flags::numeric, point, GiNaC::info_flags::positive, GiNaC::pow(), precedence(), GiNaC::basic::print(), GiNaC::ex::print(), seq, and var.

Referenced by do_print(), do_print_latex(), and do_print_python().

◆ do_print()

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

protected

Definition at line 211 of file pseries.cpp.

References c, and print_series().

◆ do_print_latex()

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

protected

Definition at line 216 of file pseries.cpp.

References c, and print_series().

◆ do_print_tree()

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

protected

Definition at line 226 of file pseries.cpp.

References c, GiNaC::basic::flags, GiNaC::basic::hashvalue, point, GiNaC::ex::print(), seq, and var.

◆ do_print_python()

void GiNaC::pseries::do_print_python	(	const print_python &	c,
		unsigned	level
	)		const

protected

Definition at line 221 of file pseries.cpp.

References c, and print_series().

◆ do_print_python_repr()

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

protected

Definition at line 241 of file pseries.cpp.

References c, point, GiNaC::ex::print(), seq, and var.

Member Data Documentation

◆ seq

epvector GiNaC::pseries::seq

protected

Vector of {coefficient, power} pairs.

Definition at line 115 of file pseries.h.

Referenced by add_series(), archive(), coeff(), coeffop(), conjugate(), convert_to_poly(), degree(), derivative(), do_print_python_repr(), do_print_tree(), eval_integ(), evalf(), evalm(), expand(), exponop(), imag_part(), is_terminating(), is_zero(), ldegree(), mul_const(), mul_series(), nops(), normal(), op(), power_const(), print_series(), pseries(), read_archive(), real_part(), series(), shift_exponents(), and subs().

◆ var

ex GiNaC::pseries::var

protected

Series variable (holds a symbol)

Definition at line 118 of file pseries.h.

Referenced by add_series(), archive(), coeff(), conjugate(), convert_to_poly(), degree(), derivative(), do_print_python_repr(), do_print_tree(), eval_integ(), evalf(), evalm(), expand(), get_var(), imag_part(), is_compatible_to(), ldegree(), mul_const(), mul_series(), normal(), op(), power_const(), print_series(), pseries(), read_archive(), real_part(), series(), shift_exponents(), and subs().

◆ point

ex GiNaC::pseries::point

protected

Expansion point.

Definition at line 121 of file pseries.h.

Referenced by add_series(), archive(), conjugate(), convert_to_poly(), derivative(), do_print_python_repr(), do_print_tree(), eval_integ(), evalf(), evalm(), expand(), get_point(), imag_part(), is_compatible_to(), mul_const(), mul_series(), normal(), op(), power_const(), print_series(), pseries(), read_archive(), real_part(), series(), shift_exponents(), and subs().

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

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ pseries() [1/2]

◆ pseries() [2/2]

Member Function Documentation

◆ precedence()

◆ nops()

◆ op()

◆ degree()

◆ ldegree()

◆ coeff()

◆ collect()

◆ eval()

◆ evalf()

◆ series()

◆ subs()

◆ normal()

◆ expand()

◆ conjugate()

◆ real_part()

◆ imag_part()

◆ eval_integ()

◆ evalm()

◆ archive()

◆ read_archive()

◆ derivative()

◆ get_var()

◆ get_point()

◆ convert_to_poly()

◆ is_compatible_to()

◆ is_zero()

◆ is_terminating()

◆ coeffop()

◆ exponop()

◆ add_series()

◆ mul_const()

◆ mul_series()

◆ power_const()

◆ shift_exponents()

◆ print_series()

◆ do_print()

◆ do_print_latex()

◆ do_print_tree()

◆ do_print_python()

◆ do_print_python_repr()

Member Data Documentation

◆ seq

◆ var

◆ point