bertini::node::Number Class Reference

Abstract Number type from which other Numbers derive. More...

#include <number.hpp>

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Public Member Functions
int	Degree (std::shared_ptr< Variable > const &v=nullptr) const override
	Get the degree of this node.
int	Degree (VariableGroup const &vars) const override
	Get the degree of this node.
std::shared_ptr< Node >	Differentiate (std::shared_ptr< Variable > const &v=nullptr) const override
	Differentiate a number.
void	Homogenize (VariableGroup const &vars, std::shared_ptr< Variable > const &homvar) override
	Homogenize this node.
bool	IsHomogeneous (std::shared_ptr< Variable > const &v=nullptr) const override
	Is this node homogeneous?
bool	IsHomogeneous (VariableGroup const &vars) const override
std::vector< int >	MultiDegree (VariableGroup const &vars) const override
	Get the multidegree of this node.
void	precision (unsigned int prec) const override
void	Reset () const override
Public Member Functions inherited from bertini::node::Symbol
unsigned	EliminateOnes () override
	A transform function, which eliminates nodes from the tree.
unsigned	EliminateZeros () override
	A transform function, which eliminates nodes from the tree.
Public Member Functions inherited from bertini::node::Node
template<typename T>
T	Eval (std::shared_ptr< Variable > const &diff_variable=nullptr) const
template<typename T>
void	EvalInPlace (T &eval_value, std::shared_ptr< Variable > const &diff_variable=nullptr) const
bool	IsPolynomial (std::shared_ptr< Variable > const &v=nullptr) const
bool	IsPolynomial (VariableGroup const &v) const
virtual void	print (std::ostream &target) const =0
virtual unsigned	ReduceDepth ()
	A mutating function which finds ways to reduce the depth of the tree.

Additional Inherited Members
Protected Member Functions inherited from bertini::node::Node
virtual void	FreshEval_d (dbl &evaluation_value, std::shared_ptr< Variable > const &) const =0
virtual dbl	FreshEval_d (std::shared_ptr< Variable > const &) const =0
virtual void	FreshEval_mp (mpfr_complex &evaluation_value, std::shared_ptr< Variable > const &) const =0
virtual mpfr_complex	FreshEval_mp (std::shared_ptr< Variable > const &) const =0
void	ResetStoredValues () const
Static Protected Member Functions inherited from bertini::VisitableBase< RetT, CatchAll >
template<typename T>
static VisitReturnType	AcceptBase (T &visited, VisitorBase &guest)
	Abstract method for how to accept a visitor.

Detailed Description

Abstract Number type from which other Numbers derive.

This class represents constant leaves to a function tree. FreshEval simply returns the value of the constant.

Member Function Documentation

Degree() [1/2]

int bertini::node::Number::Degree ( std::shared_ptr< Variable > const & v = nullptr ) const

inlineoverridevirtual

Get the degree of this node.

The degree of a number is always 0. It's a number.

Implements bertini::node::Node.

Degree() [2/2]

int bertini::node::Number::Degree ( VariableGroup const & vars ) const

inlineoverridevirtual

Get the degree of this node.

The degree of a number is always 0. It's a number.

Implements bertini::node::Node.

Differentiate()

std::shared_ptr< Node > bertini::node::Number::Differentiate ( std::shared_ptr< Variable > const & v = nullptr ) const

overridevirtual

Differentiate a number.

Implements bertini::node::Node.

Homogenize()

void bertini::node::Number::Homogenize ( VariableGroup const & vars, std::shared_ptr< Variable > const & homvar )

inlineoverridevirtual

Homogenize this node.

Homogenization of a number is a trivial operation. Don't do anything.

Implements bertini::node::Node.

IsHomogeneous() [1/2]

bool bertini::node::Number::IsHomogeneous ( std::shared_ptr< Variable > const & v = nullptr ) const

inlineoverridevirtual

Is this node homogeneous?

Numbers are always homogeneous

Implements bertini::node::Node.

IsHomogeneous() [2/2]

bool bertini::node::Number::IsHomogeneous ( VariableGroup const & vars ) const

inlineoverridevirtual

Check for homogeneity, with respect to a variable group.

Implements bertini::node::Node.

MultiDegree()

std::vector< int > bertini::node::Number::MultiDegree ( VariableGroup const & vars ) const

inlineoverridevirtual

Get the multidegree of this node.

The degree of a number is always 0. It's a number.

Implements bertini::node::Node.

precision()

void bertini::node::Number::precision ( unsigned int prec ) const

overridevirtual

Change the precision of this variable-precision tree node.

Parameters

prec	the number of digits to change precision to.

Implements bertini::node::Node.

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Reset()

void bertini::node::Number::Reset ( ) const

overridevirtual

Tells code to run a fresh eval on node next time.

Implements bertini::node::Node.

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

• number.hpp
• number.cpp