variable_and_expressions.h File Reference

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Classes
class	Variable
struct	LinearTerm
class	LinearExpression
struct	VariablesEquality
struct	LowerBoundedLinearExpression
struct	UpperBoundedLinearExpression
struct	BoundedLinearExpression
class	QuadraticTermKey
class	QuadraticTerm
class	QuadraticExpression
struct	LowerBoundedQuadraticExpression
struct	UpperBoundedQuadraticExpression
struct	BoundedQuadraticExpression

Namespaces
	operations_research
	Collection of objects used to extend the Constraint Solver library.
	operations_research::math_opt
	operations_research::math_opt::internal

Typedefs
template<typename V >
using	VariableMap = IdMap< Variable, V >
using	QuadraticProductId = std::pair< VariableId, VariableId >
template<typename V >
using	QuadraticTermMap = IdMap< QuadraticTermKey, V >

Functions
std::ostream &	operator<< (std::ostream &ostr, const Variable &variable)
LinearTerm	operator* (double coefficient, LinearTerm term)
LinearTerm	operator* (LinearTerm term, double coefficient)
LinearTerm	operator* (double coefficient, Variable variable)
LinearTerm	operator* (Variable variable, double coefficient)
LinearTerm	operator/ (LinearTerm term, double coefficient)
LinearTerm	operator/ (Variable variable, double coefficient)
template<typename Iterable >
LinearExpression	Sum (const Iterable &items)
template<typename LeftIterable , typename RightIterable >
LinearExpression	InnerProduct (const LeftIterable &left, const RightIterable &right)
std::ostream &	operator<< (std::ostream &ostr, const LinearExpression &expression)
LinearExpression	operator- (LinearExpression expr)
LinearExpression	operator+ (Variable lhs, double rhs)
LinearExpression	operator+ (double lhs, Variable rhs)
LinearExpression	operator+ (Variable lhs, Variable rhs)
LinearExpression	operator+ (const LinearTerm &lhs, double rhs)
LinearExpression	operator+ (double lhs, const LinearTerm &rhs)
LinearExpression	operator+ (const LinearTerm &lhs, Variable rhs)
LinearExpression	operator+ (Variable lhs, const LinearTerm &rhs)
LinearExpression	operator+ (const LinearTerm &lhs, const LinearTerm &rhs)
LinearExpression	operator+ (LinearExpression lhs, double rhs)
LinearExpression	operator+ (double lhs, LinearExpression rhs)
LinearExpression	operator+ (LinearExpression lhs, Variable rhs)
LinearExpression	operator+ (Variable lhs, LinearExpression rhs)
LinearExpression	operator+ (LinearExpression lhs, const LinearTerm &rhs)
LinearExpression	operator+ (LinearTerm lhs, LinearExpression rhs)
LinearExpression	operator+ (LinearExpression lhs, const LinearExpression &rhs)
LinearExpression	operator- (Variable lhs, double rhs)
LinearExpression	operator- (double lhs, Variable rhs)
LinearExpression	operator- (Variable lhs, Variable rhs)
LinearExpression	operator- (const LinearTerm &lhs, double rhs)
LinearExpression	operator- (double lhs, const LinearTerm &rhs)
LinearExpression	operator- (const LinearTerm &lhs, Variable rhs)
LinearExpression	operator- (Variable lhs, const LinearTerm &rhs)
LinearExpression	operator- (const LinearTerm &lhs, const LinearTerm &rhs)
LinearExpression	operator- (LinearExpression lhs, double rhs)
LinearExpression	operator- (double lhs, LinearExpression rhs)
LinearExpression	operator- (LinearExpression lhs, Variable rhs)
LinearExpression	operator- (Variable lhs, LinearExpression rhs)
LinearExpression	operator- (LinearExpression lhs, const LinearTerm &rhs)
LinearExpression	operator- (LinearTerm lhs, LinearExpression rhs)
LinearExpression	operator- (LinearExpression lhs, const LinearExpression &rhs)
LinearExpression	operator* (LinearExpression lhs, double rhs)
LinearExpression	operator* (double lhs, LinearExpression rhs)
LinearExpression	operator/ (LinearExpression lhs, double rhs)
internal::VariablesEquality	operator== (const Variable &lhs, const Variable &rhs)
bool	operator!= (const Variable &lhs, const Variable &rhs)
std::ostream &	operator<< (std::ostream &ostr, const BoundedLinearExpression &bounded_expression)
LowerBoundedLinearExpression	operator>= (LinearExpression expression, double constant)
LowerBoundedLinearExpression	operator<= (double constant, LinearExpression expression)
LowerBoundedLinearExpression	operator>= (const LinearTerm &term, double constant)
LowerBoundedLinearExpression	operator<= (double constant, const LinearTerm &term)
LowerBoundedLinearExpression	operator>= (Variable variable, double constant)
LowerBoundedLinearExpression	operator<= (double constant, Variable variable)
UpperBoundedLinearExpression	operator<= (LinearExpression expression, double constant)
UpperBoundedLinearExpression	operator>= (double constant, LinearExpression expression)
UpperBoundedLinearExpression	operator<= (const LinearTerm &term, double constant)
UpperBoundedLinearExpression	operator>= (double constant, const LinearTerm &term)
UpperBoundedLinearExpression	operator<= (Variable variable, double constant)
UpperBoundedLinearExpression	operator>= (double constant, Variable variable)
BoundedLinearExpression	operator<= (LowerBoundedLinearExpression lhs, double rhs)
BoundedLinearExpression	operator>= (double lhs, LowerBoundedLinearExpression rhs)
BoundedLinearExpression	operator>= (UpperBoundedLinearExpression lhs, double rhs)
BoundedLinearExpression	operator<= (double lhs, UpperBoundedLinearExpression rhs)
BoundedLinearExpression	operator<= (LinearExpression lhs, const LinearExpression &rhs)
BoundedLinearExpression	operator>= (LinearExpression lhs, const LinearExpression &rhs)
BoundedLinearExpression	operator<= (LinearExpression lhs, const LinearTerm &rhs)
BoundedLinearExpression	operator>= (LinearExpression lhs, const LinearTerm &rhs)
BoundedLinearExpression	operator<= (const LinearTerm &lhs, LinearExpression rhs)
BoundedLinearExpression	operator>= (const LinearTerm &lhs, LinearExpression rhs)
BoundedLinearExpression	operator<= (LinearExpression lhs, Variable rhs)
BoundedLinearExpression	operator>= (LinearExpression lhs, Variable rhs)
BoundedLinearExpression	operator<= (Variable lhs, LinearExpression rhs)
BoundedLinearExpression	operator>= (Variable lhs, LinearExpression rhs)
BoundedLinearExpression	operator<= (const LinearTerm &lhs, const LinearTerm &rhs)
BoundedLinearExpression	operator>= (const LinearTerm &lhs, const LinearTerm &rhs)
BoundedLinearExpression	operator<= (const LinearTerm &lhs, Variable rhs)
BoundedLinearExpression	operator>= (const LinearTerm &lhs, Variable rhs)
BoundedLinearExpression	operator<= (Variable lhs, const LinearTerm &rhs)
BoundedLinearExpression	operator>= (Variable lhs, const LinearTerm &rhs)
BoundedLinearExpression	operator<= (Variable lhs, Variable rhs)
BoundedLinearExpression	operator>= (Variable lhs, Variable rhs)
BoundedLinearExpression	operator== (LinearExpression lhs, const LinearExpression &rhs)
BoundedLinearExpression	operator== (LinearExpression lhs, const LinearTerm &rhs)
BoundedLinearExpression	operator== (const LinearTerm &lhs, LinearExpression rhs)
BoundedLinearExpression	operator== (LinearExpression lhs, Variable rhs)
BoundedLinearExpression	operator== (Variable lhs, LinearExpression rhs)
BoundedLinearExpression	operator== (LinearExpression lhs, double rhs)
BoundedLinearExpression	operator== (double lhs, LinearExpression rhs)
BoundedLinearExpression	operator== (const LinearTerm &lhs, const LinearTerm &rhs)
BoundedLinearExpression	operator== (const LinearTerm &lhs, Variable rhs)
BoundedLinearExpression	operator== (Variable lhs, const LinearTerm &rhs)
BoundedLinearExpression	operator== (const LinearTerm &lhs, double rhs)
BoundedLinearExpression	operator== (double lhs, const LinearTerm &rhs)
BoundedLinearExpression	operator== (Variable lhs, double rhs)
BoundedLinearExpression	operator== (double lhs, Variable rhs)
std::ostream &	operator<< (std::ostream &ostr, const QuadraticTermKey &key)
bool	operator== (const QuadraticTermKey lhs, const QuadraticTermKey rhs)
bool	operator!= (const QuadraticTermKey lhs, const QuadraticTermKey rhs)
QuadraticTerm	operator- (QuadraticTerm term)
QuadraticTerm	operator* (double lhs, QuadraticTerm rhs)
QuadraticTerm	operator* (Variable lhs, Variable rhs)
QuadraticTerm	operator* (Variable lhs, LinearTerm rhs)
QuadraticTerm	operator* (LinearTerm lhs, Variable rhs)
QuadraticTerm	operator* (LinearTerm lhs, LinearTerm rhs)
QuadraticTerm	operator* (QuadraticTerm lhs, double rhs)
QuadraticTerm	operator/ (QuadraticTerm lhs, double rhs)
QuadraticExpression	operator- (QuadraticExpression expr)
QuadraticExpression	operator+ (double lhs, const QuadraticTerm &rhs)
QuadraticExpression	operator+ (double lhs, QuadraticExpression rhs)
QuadraticExpression	operator+ (Variable lhs, const QuadraticTerm &rhs)
QuadraticExpression	operator+ (Variable lhs, QuadraticExpression rhs)
QuadraticExpression	operator+ (const LinearTerm &lhs, const QuadraticTerm &rhs)
QuadraticExpression	operator+ (const LinearTerm &lhs, QuadraticExpression rhs)
QuadraticExpression	operator+ (LinearExpression lhs, const QuadraticTerm &rhs)
QuadraticExpression	operator+ (const LinearExpression &lhs, QuadraticExpression rhs)
QuadraticExpression	operator+ (const QuadraticTerm &lhs, double rhs)
QuadraticExpression	operator+ (const QuadraticTerm &lhs, Variable rhs)
QuadraticExpression	operator+ (const QuadraticTerm &lhs, const LinearTerm &rhs)
QuadraticExpression	operator+ (const QuadraticTerm &lhs, LinearExpression rhs)
QuadraticExpression	operator+ (const QuadraticTerm &lhs, const QuadraticTerm &rhs)
QuadraticExpression	operator+ (const QuadraticTerm &lhs, QuadraticExpression rhs)
QuadraticExpression	operator+ (QuadraticExpression lhs, double rhs)
QuadraticExpression	operator+ (QuadraticExpression lhs, Variable rhs)
QuadraticExpression	operator+ (QuadraticExpression lhs, const LinearTerm &rhs)
QuadraticExpression	operator+ (QuadraticExpression lhs, const LinearExpression &rhs)
QuadraticExpression	operator+ (QuadraticExpression lhs, const QuadraticTerm &rhs)
QuadraticExpression	operator+ (QuadraticExpression lhs, const QuadraticExpression &rhs)
QuadraticExpression	operator- (double lhs, const QuadraticTerm &rhs)
QuadraticExpression	operator- (double lhs, QuadraticExpression rhs)
QuadraticExpression	operator- (Variable lhs, const QuadraticTerm &rhs)
QuadraticExpression	operator- (Variable lhs, QuadraticExpression rhs)
QuadraticExpression	operator- (const LinearTerm &lhs, const QuadraticTerm &rhs)
QuadraticExpression	operator- (const LinearTerm &lhs, QuadraticExpression rhs)
QuadraticExpression	operator- (LinearExpression lhs, const QuadraticTerm &rhs)
QuadraticExpression	operator- (const LinearExpression &lhs, QuadraticExpression rhs)
QuadraticExpression	operator- (const QuadraticTerm &lhs, double rhs)
QuadraticExpression	operator- (const QuadraticTerm &lhs, Variable rhs)
QuadraticExpression	operator- (const QuadraticTerm &lhs, const LinearTerm &rhs)
QuadraticExpression	operator- (const QuadraticTerm &lhs, LinearExpression rhs)
QuadraticExpression	operator- (const QuadraticTerm &lhs, const QuadraticTerm &rhs)
QuadraticExpression	operator- (const QuadraticTerm &lhs, QuadraticExpression rhs)
QuadraticExpression	operator- (QuadraticExpression lhs, double rhs)
QuadraticExpression	operator- (QuadraticExpression lhs, Variable rhs)
QuadraticExpression	operator- (QuadraticExpression lhs, const LinearTerm &rhs)
QuadraticExpression	operator- (QuadraticExpression lhs, const LinearExpression &rhs)
QuadraticExpression	operator- (QuadraticExpression lhs, const QuadraticTerm &rhs)
QuadraticExpression	operator- (QuadraticExpression lhs, const QuadraticExpression &rhs)
QuadraticExpression	operator* (double lhs, QuadraticExpression rhs)
QuadraticExpression	operator* (Variable lhs, const LinearExpression &rhs)
QuadraticExpression	operator* (LinearTerm lhs, const LinearExpression &rhs)
QuadraticExpression	operator* (const LinearExpression &lhs, Variable rhs)
QuadraticExpression	operator* (const LinearExpression &lhs, LinearTerm rhs)
QuadraticExpression	operator* (const LinearExpression &lhs, const LinearExpression &rhs)
QuadraticExpression	operator* (QuadraticExpression lhs, double rhs)
QuadraticExpression	operator/ (QuadraticExpression lhs, double rhs)
std::ostream &	operator<< (std::ostream &ostr, const BoundedQuadraticExpression &bounded_expression)
LowerBoundedQuadraticExpression	operator>= (QuadraticExpression lhs, double rhs)
LowerBoundedQuadraticExpression	operator>= (QuadraticTerm lhs, double rhs)
LowerBoundedQuadraticExpression	operator<= (double lhs, QuadraticExpression rhs)
LowerBoundedQuadraticExpression	operator<= (double lhs, QuadraticTerm rhs)
UpperBoundedQuadraticExpression	operator>= (double lhs, QuadraticExpression rhs)
UpperBoundedQuadraticExpression	operator>= (double lhs, QuadraticTerm rhs)
UpperBoundedQuadraticExpression	operator<= (QuadraticExpression lhs, double rhs)
UpperBoundedQuadraticExpression	operator<= (QuadraticTerm lhs, double rhs)
BoundedQuadraticExpression	operator>= (UpperBoundedQuadraticExpression lhs, double rhs)
BoundedQuadraticExpression	operator>= (double lhs, LowerBoundedQuadraticExpression rhs)
BoundedQuadraticExpression	operator<= (LowerBoundedQuadraticExpression lhs, double rhs)
BoundedQuadraticExpression	operator<= (double lhs, UpperBoundedQuadraticExpression rhs)
BoundedQuadraticExpression	operator>= (QuadraticExpression lhs, const QuadraticExpression &rhs)
BoundedQuadraticExpression	operator>= (QuadraticExpression lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator>= (QuadraticExpression lhs, const LinearExpression &rhs)
BoundedQuadraticExpression	operator>= (QuadraticExpression lhs, LinearTerm rhs)
BoundedQuadraticExpression	operator>= (QuadraticExpression lhs, Variable rhs)
BoundedQuadraticExpression	operator<= (QuadraticExpression lhs, const QuadraticExpression &rhs)
BoundedQuadraticExpression	operator<= (QuadraticExpression lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator<= (QuadraticExpression lhs, const LinearExpression &rhs)
BoundedQuadraticExpression	operator<= (QuadraticExpression lhs, LinearTerm rhs)
BoundedQuadraticExpression	operator<= (QuadraticExpression lhs, Variable rhs)
BoundedQuadraticExpression	operator== (QuadraticExpression lhs, const QuadraticExpression &rhs)
BoundedQuadraticExpression	operator== (QuadraticExpression lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator== (QuadraticExpression lhs, const LinearExpression &rhs)
BoundedQuadraticExpression	operator== (QuadraticExpression lhs, LinearTerm rhs)
BoundedQuadraticExpression	operator== (QuadraticExpression lhs, Variable rhs)
BoundedQuadraticExpression	operator== (QuadraticExpression lhs, double rhs)
BoundedQuadraticExpression	operator>= (QuadraticTerm lhs, QuadraticExpression rhs)
BoundedQuadraticExpression	operator>= (QuadraticTerm lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator>= (QuadraticTerm lhs, LinearExpression rhs)
BoundedQuadraticExpression	operator>= (QuadraticTerm lhs, LinearTerm rhs)
BoundedQuadraticExpression	operator>= (QuadraticTerm lhs, Variable rhs)
BoundedQuadraticExpression	operator<= (QuadraticTerm lhs, QuadraticExpression rhs)
BoundedQuadraticExpression	operator<= (QuadraticTerm lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator<= (QuadraticTerm lhs, LinearExpression rhs)
BoundedQuadraticExpression	operator<= (QuadraticTerm lhs, LinearTerm rhs)
BoundedQuadraticExpression	operator<= (QuadraticTerm lhs, Variable rhs)
BoundedQuadraticExpression	operator== (QuadraticTerm lhs, QuadraticExpression rhs)
BoundedQuadraticExpression	operator== (QuadraticTerm lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator== (QuadraticTerm lhs, LinearExpression rhs)
BoundedQuadraticExpression	operator== (QuadraticTerm lhs, LinearTerm rhs)
BoundedQuadraticExpression	operator== (QuadraticTerm lhs, Variable rhs)
BoundedQuadraticExpression	operator== (QuadraticTerm lhs, double rhs)
BoundedQuadraticExpression	operator>= (const LinearExpression &lhs, QuadraticExpression rhs)
BoundedQuadraticExpression	operator>= (LinearExpression lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator<= (const LinearExpression &lhs, QuadraticExpression rhs)
BoundedQuadraticExpression	operator<= (LinearExpression lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator== (const LinearExpression &lhs, QuadraticExpression rhs)
BoundedQuadraticExpression	operator== (LinearExpression lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator>= (LinearTerm lhs, QuadraticExpression rhs)
BoundedQuadraticExpression	operator>= (LinearTerm lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator<= (LinearTerm lhs, QuadraticExpression rhs)
BoundedQuadraticExpression	operator<= (LinearTerm lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator== (LinearTerm lhs, QuadraticExpression rhs)
BoundedQuadraticExpression	operator== (LinearTerm lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator>= (Variable lhs, QuadraticExpression rhs)
BoundedQuadraticExpression	operator>= (Variable lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator<= (Variable lhs, QuadraticExpression rhs)
BoundedQuadraticExpression	operator<= (Variable lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator== (Variable lhs, QuadraticExpression rhs)
BoundedQuadraticExpression	operator== (Variable lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator== (double lhs, QuadraticTerm rhs)
BoundedQuadraticExpression	operator== (double lhs, QuadraticExpression rhs)
template<typename H >
H	AbslHashValue (H h, const Variable &variable)
template<typename LeftIterable , typename RightIterable , typename Expression >
void	AddInnerProduct (const LeftIterable &left, const RightIterable &right, Expression &expr)
template<typename H >
H	AbslHashValue (H h, const QuadraticTermKey &key)