OASIS
Open Algebra Software
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Oasis::Variable Class Reference

An algebraic variable. More...

#include <Oasis/Variable.hpp>

Inheritance diagram for Oasis::Variable:
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Collaboration diagram for Oasis::Variable:
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Public Member Functions

 Variable ()=default
 
 Variable (const Variable &other)=default
 
 Variable (std::string name)
 
virtual auto Equals (const Expression &other) const -> bool final
 Compares this expression to another expression for equality.
 
auto GetName () const -> std::string
 Gets the name of the variable.
 
auto Differentiate (const Expression &differentiationVariable) const -> std::unique_ptr< Expression > final
 Tries to differentiate this function.
 
auto Integrate (const Expression &integrationVariable) const -> std::unique_ptr< Expression > final
 Attempts to integrate this expression using integration rules.
 
auto Substitute (const Expression &var, const Expression &val) -> std::unique_ptr< Expression > override
 
auto operator= (const Variable &other) -> Variable &=default
 
- Public Member Functions inherited from Oasis::LeafExpression< Variable >
auto Copy () const -> std::unique_ptr< Expression > final
 Copies this expression.
 
auto StructurallyEquivalent (const Expression &other) const -> bool final
 Checks whether this expression is structurally equivalent to another expression.
 
void Serialize (SerializationVisitor &visitor) const override
 This function serializes the expression object.
 
- Public Member Functions inherited from Oasis::Expression
auto FindZeros () const -> std::vector< std::unique_ptr< Expression > >
 The FindZeros function finds all rational real zeros, and up to 2 irrational/complex zeros of a polynomial.
 
virtual auto GetCategory () const -> uint32_t
 Gets the category of this expression.
 
virtual auto GetType () const -> ExpressionType
 Gets the type of this expression.
 
virtual auto Generalize () const -> std::unique_ptr< Expression >
 Converts this expression to a more general expression.
 
virtual auto IntegrateWithBounds (const Expression &, const Expression &, const Expression &) -> std::unique_ptr< Expression >
 Attempts to integrate this expression using integration rules.
 
template<IExpression T>
bool Is () const
 Gets whether this expression is of a specific type.
 
template<template< typename > typename T>
bool Is () const
 
template<template< typename, typename > typename T>
bool Is () const
 
virtual auto Simplify () const -> std::unique_ptr< Expression >
 Simplifies this expression.
 
virtual ~Expression ()=default
 

Detailed Description

An algebraic variable.

Variables are used to represent unknown values in an expression. Variables can have names such as "x" or "y" or "x_1" and so on.

Constructor & Destructor Documentation

◆ Variable() [1/3]

Oasis::Variable::Variable ( )
default

◆ Variable() [2/3]

Oasis::Variable::Variable ( const Variable & other)
default

◆ Variable() [3/3]

Oasis::Variable::Variable ( std::string name)
explicit

Member Function Documentation

◆ Differentiate()

auto Oasis::Variable::Differentiate ( const Expression & differentiationVariable) const -> std::unique_ptr<Expression>
finalvirtual

Tries to differentiate this function.

Returns
the differentiated expression.

Reimplemented from Oasis::LeafExpression< Variable >.

◆ Equals()

auto Oasis::Variable::Equals ( const Expression & other) const -> bool
finalvirtual

Compares this expression to another expression for equality.

Two expressions are equal if they are structurally equivalent and have the same value. While this method considers the associativity and commutativity of expressions, it does not simplify the expressions before comparing them. For example, Add<Real>(Real(1), Real(2)) and Add<Real>(Real(2), Real(1)) are not equal, despite being structurally equivalent.

Parameters
otherThe other expression.
Returns
Whether the two expressions are equal.

Implements Oasis::Expression.

◆ GetName()

auto Oasis::Variable::GetName ( ) const -> std::string

Gets the name of the variable.

Returns
The name of the variable.

◆ Integrate()

auto Oasis::Variable::Integrate ( const Expression & integrationVariable) const -> std::unique_ptr<Expression>
finalvirtual

Attempts to integrate this expression using integration rules.

Returns
An indefinite integral of the expression added to a constant

Reimplemented from Oasis::LeafExpression< Variable >.

◆ operator=()

auto Oasis::Variable::operator= ( const Variable & other) -> Variable &=default
default

◆ Substitute()

auto Oasis::Variable::Substitute ( const Expression & var,
const Expression & val ) -> std::unique_ptr<Expression>
overridevirtual

Reimplemented from Oasis::LeafExpression< Variable >.


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