#include <deal.II/differentiation/sd/symengine_number_visitor_internal.h>

Public Member Functions
	CSEDictionaryVisitor ()=default

virtual	~CSEDictionaryVisitor ()=default

void	init (const types::symbol_vector &dependent_functions)

void	call (ReturnType output_values, const types::symbol_vector &independent_symbols, const ReturnType substitution_values)

template<class Archive >
void	save (Archive &archive, const unsigned int version) const

template<class Archive >
void	load (Archive &archive, const unsigned int version)

template<class Archive >
void	serialize (Archive &archive, const unsigned int version)

template<typename StreamType >
void	print (StreamType &stream) const

bool	executed () const

unsigned int	n_intermediate_expressions () const

unsigned int	n_reduced_expressions () const

Protected Member Functions
void	init (const SymEngine::vec_basic &dependent_functions)

void	call (ReturnType output_values, const SymEngine::vec_basic &independent_symbols, const ReturnType substitution_values)

Private Types
using	symbol_vector_pair = std::vector< std::pair< SD::Expression, SD::Expression > >

Private Attributes
symbol_vector_pair	intermediate_symbols_exprs

types::symbol_vector	reduced_exprs

Detailed Description

template<typename ReturnType, typename ExpressionType>
class Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >

A class that implements common subexpression elimination for dictionary visitor classes.

It is intended that this class only be used in conjunction with the DictionarySubstitutionVisitor.

Definition at line 55 of file symengine_number_visitor_internal.h.

Member Typedef Documentation

◆ symbol_vector_pair

template<typename ReturnType , typename ExpressionType >

using Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::symbol_vector_pair = std::vector<std::pair<SD::Expression, SD::Expression> >

private

Definition at line 57 of file symengine_number_visitor_internal.h.

Constructor & Destructor Documentation

◆ CSEDictionaryVisitor()

template<typename ReturnType , typename ExpressionType >

Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::CSEDictionaryVisitor ( )

default

◆ ~CSEDictionaryVisitor()

template<typename ReturnType , typename ExpressionType >

virtual Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::~CSEDictionaryVisitor ( )

virtualdefault

Member Function Documentation

◆ init() [1/2]

template<typename ReturnType , typename ExpressionType >

void Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::init ( const types::symbol_vector & dependent_functions )

Initialize and perform common subexpression elimination.

Here we build the reduced expressions for the dependent_functions as well as a list of intermediate, repeating symbolic expressions that are extracted dependent_functions. This operation leads to the elimination of repeated expressions, so they only have to be evaluated once.

Parameters

dependent_functions A vector of expressions that represent the dependent functions that CSE will be performed on.

◆ call() [1/2]

template<typename ReturnType , typename ExpressionType >

void Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::call	(	ReturnType *	output_values,
		const types::symbol_vector &	independent_symbols,
		const ReturnType *	substitution_values
	)

Evaluate the (reduced) dependent functions using the common subexpressions generated during the call to init().

The output_values are the numerical result of substituting each of the substitution_values for their corresponding entry of the independent_symbols. Specifically, we first calculate the numerical values of each reduced subexpression, and feed those into a reduced equivalent of the dependent variables. The result of this is then written into the output_values array.

Parameters

[out]	output_values	A pointer to the first element in an array of type `ReturnType`. After this call, the underlying array will hold the numerical result of substituting the `substitution_values` into the pre-registered dependent functions.
[in]	independent_symbols	A vector of symbols that represent the independent variables that are arguments to the previously defined dependent functions.
[in]	substitution_values	A pointer to the first element in an array of type `ReturnType`. Each entry in this array stores the numerical value that an independent variable is to take for the purpose of value substitution.

Note: It is expected that both the output_values and substitution_values arrays be correctly dimensioned, as there is no range checking performed on these data structures. The output_values array should have the same number of elements as the dependent functions first passed to this class in the call to init(). Similarly, the substitution_values array should have the same number of elements as the independent_symbols vector has.; It is expected that there be a 1-1 correspondence between the entries in independent_symbols and substitution_values. This is not checked within this function, so it is up to the user to ensure that the relationships between the independent variables and their numerical value be correctly set up and maintained.

◆ save()

template<typename ReturnType , typename ExpressionType >

template<class Archive >

void Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::save	(	Archive &	archive,
		const unsigned int	version
	)		const

Write the data of this object to a stream for the purpose of serialization using the BOOST serialization library.

◆ load()

template<typename ReturnType , typename ExpressionType >

template<class Archive >

void Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::load	(	Archive &	archive,
		const unsigned int	version
	)

Read the data for this object from a stream for the purpose of serialization using the BOOST serialization library.

◆ serialize()

template<typename ReturnType , typename ExpressionType >

template<class Archive >

void Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::serialize	(	Archive &	archive,
		const unsigned int	version
	)

Write and read the data of this object from a stream for the purpose of serialization using the BOOST serialization library.

◆ print()

template<typename ReturnType , typename ExpressionType >

template<typename StreamType >

void Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::print ( StreamType & stream ) const

Print all of the intermediate reduced expressions, as well as the final reduced expressions for dependent variables to the stream.

◆ executed()

template<typename ReturnType , typename ExpressionType >

bool Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::executed ( ) const

Return a flag stating whether we've performed CSE or not.

◆ n_intermediate_expressions()

template<typename ReturnType , typename ExpressionType >

unsigned int Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::n_intermediate_expressions ( ) const

The number of intermediate expressions that must be evaluated as part of the collection of common subexpressions.

◆ n_reduced_expressions()

template<typename ReturnType , typename ExpressionType >

unsigned int Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::n_reduced_expressions ( ) const

The size of the final set of reduced expressions.

◆ init() [2/2]

template<typename ReturnType , typename ExpressionType >

void Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::init ( const SymEngine::vec_basic & dependent_functions )

protected

Initialize and perform common subexpression elimination.

This function performs the same action as the other init() function, except that it works with native SymEngine data types; the single argument is a vector of SymEngine::RCP<const SymEngine::Basic>.

Parameters

dependent_functions A vector of expressions that represent the dependent functions that CSE will be performed on.

◆ call() [2/2]

template<typename ReturnType , typename ExpressionType >

void Differentiation::SD::internal::CSEDictionaryVisitor< ReturnType, ExpressionType >::call	(	ReturnType *	output_values,
		const SymEngine::vec_basic &	independent_symbols,
		const ReturnType *	substitution_values
	)

protected

Evaluate the (reduced) dependent functions using the common subexpressions generated during the call to init().

This function performs the same action as the other init() function, except that it works with native SymEngine data types. The independent_symbols is represented by a vector of SymEngine::RCP<const SymEngine::Basic>.

Parameters

[out]	output_values	A pointer to the first element in an array of type `ReturnType`. After this call, the underlying array will hold the numerical result of substituting the `substitution_values` into the pre-registered dependent functions.
[in]	independent_symbols	A vector of symbols that represent the independent variables that are arguments to the previously defined dependent functions.
[in]	substitution_values	A pointer to the first element in an array of type `ReturnType`. Each entry in this array stores the numerical value that an independent variable is to take for the purpose of value substitution.