Abstract base class for all scalar-valued symbolic operators. More...

#include <operator.hpp>

Inheritance diagram for Operator:

[legend]

Public Member Functions
virtual returnValue	AD_backward (int dim, VariableType varType, int component, Operator seed, Operator df, int &nNewIS, TreeProjection **newIS)=0

virtual returnValue	AD_backward (int number, double seed, double *df)=0

virtual returnValue	AD_backward2 (int number, double seed1, double seed2, double df, double ddf)=0

virtual Operator *	AD_forward (int dim, VariableType varType, int component, Operator seed, int &nNewIS, TreeProjection *newIS)=0

virtual returnValue	AD_forward (int number, double x, double seed, double f, double df)=0

virtual returnValue	AD_forward (int number, double seed, double df)=0

virtual returnValue	AD_forward2 (int number, double seed1, double seed2, double df, double ddf)=0

virtual returnValue	AD_symmetric (int dim, VariableType varType, int component, Operator l, Operator S, int dimS, Operator dfS, Operator ldf, Operator H, int &nNewLIS, TreeProjection newLIS, int &nNewSIS, TreeProjection newSIS, int &nNewHIS, TreeProjection **newHIS)=0

virtual returnValue	clearBuffer ()=0

virtual Operator *	clone () const =0

virtual TreeProjection *	cloneTreeProjection () const

virtual Operator *	differentiate (int index)=0

virtual returnValue	enumerateVariables (SymbolicIndexList *indexList)=0

virtual returnValue	evaluate (int number, double x, double result)=0

virtual returnValue	evaluate (EvaluationBase *x)=0

virtual CurvatureType	getCurvature ()=0

virtual int	getGlobalIndex () const

virtual MonotonicityType	getMonotonicity ()=0

virtual OperatorName	getName ()=0

virtual double	getValue () const

virtual returnValue	initDerivative ()

virtual BooleanType	isDependingOn (VariableType var) const =0

virtual BooleanType	isDependingOn (int dim, VariableType varType, int component, BooleanType *implicit_dep)=0

virtual BooleanType	isLinearIn (int dim, VariableType varType, int component, BooleanType *implicit_dep)=0

virtual NeutralElement	isOneOrZero () const =0

virtual BooleanType	isPolynomialIn (int dim, VariableType varType, int component, BooleanType *implicit_dep)=0

virtual BooleanType	isRationalIn (int dim, VariableType varType, int component, BooleanType *implicit_dep)=0

virtual BooleanType	isSmooth () const =0

virtual BooleanType	isSymbolic () const =0

virtual BooleanType	isTrivial () const

virtual BooleanType	isVariable (VariableType &varType, int &component) const =0

virtual returnValue	loadIndices (SymbolicIndexList *indexList)=0

virtual Operator *	myAdd (Operator a, Operator b)

virtual Operator *	myLogarithm (Operator *a)

virtual Operator *	myPower (Operator a, Operator b)

virtual Operator *	myPowerInt (Operator *a, int b)

virtual Operator *	myProd (Operator a, Operator b)

virtual Operator *	mySubtract (Operator a, Operator b)

	Operator ()

Expression	operator* (const double &arg) const

Expression	operator* (const DVector &arg) const

Expression	operator* (const DMatrix &arg) const

Expression	operator* (const Operator &arg) const

Expression	operator* (const Expression &arg) const

Operator &	operator*= (const double &arg)

Operator &	operator*= (const DVector &arg)

Operator &	operator*= (const DMatrix &arg)

Operator &	operator*= (const Expression &arg)

Expression	operator+ (const double &arg) const

Expression	operator+ (const DVector &arg) const

Expression	operator+ (const DMatrix &arg) const

Expression	operator+ (const Operator &arg) const

Expression	operator+ (const Expression &arg) const

Operator &	operator+= (const double &arg)

Operator &	operator+= (const DVector &arg)

Operator &	operator+= (const DMatrix &arg)

Operator &	operator+= (const Expression &arg)

Expression	operator- (const double &arg) const

Expression	operator- (const DVector &arg) const

Expression	operator- (const DMatrix &arg) const

Expression	operator- (const Operator &arg) const

Expression	operator- (const Expression &arg) const

Expression	operator- () const

Operator &	operator-= (const double &arg)

Operator &	operator-= (const DVector &arg)

Operator &	operator-= (const DMatrix &arg)

Operator &	operator-= (const Expression &arg)

Expression	operator/ (const double &arg) const

Expression	operator/ (const Operator &arg) const

Expression	operator/ (const Expression &arg) const

Operator &	operator/= (const double &arg)

Operator &	operator/= (const Expression &arg)

ConstraintComponent	operator<= (const double &ub) const

ConstraintComponent	operator<= (const DVector &ub) const

ConstraintComponent	operator<= (const VariablesGrid &ub) const

virtual Operator &	operator= (const double &arg)

virtual Operator &	operator= (const DVector &arg)

virtual Operator &	operator= (const DMatrix &arg)

virtual Operator &	operator= (const Expression &arg)

virtual Operator &	operator= (const Operator &arg)

ConstraintComponent	operator== (const double &b) const

ConstraintComponent	operator== (const DVector &b) const

ConstraintComponent	operator== (const VariablesGrid &b) const

ConstraintComponent	operator>= (const double &lb) const

ConstraintComponent	operator>= (const DVector &lb) const

ConstraintComponent	operator>= (const VariablesGrid &lb) const

virtual Operator *	passArgument () const

virtual std::ostream &	print (std::ostream &stream) const =0

virtual returnValue	setCurvature (CurvatureType curvature_)=0

virtual returnValue	setMonotonicity (MonotonicityType monotonicity_)=0

virtual returnValue	setVariableExportName (const VariableType &_type, const std::vector< std::string > &_name)

virtual Operator *	substitute (int index, const Operator *sub)=0

virtual	~Operator ()

Public Attributes
int	nCount

Protected Member Functions
returnValue	ADsymCommon (Operator a, TreeProjection &da, TreeProjection &dda, int dim, VariableType varType, int component, Operator l, Operator S, int dimS, Operator dfS, Operator ldf, Operator H, int &nNewLIS, TreeProjection *newLIS, int &nNewSIS, TreeProjection newSIS, int &nNewHIS, TreeProjection **newHIS)

returnValue	ADsymCommon2 (Operator a, Operator b, TreeProjection &dx, TreeProjection &dy, TreeProjection &dxx, TreeProjection &dxy, TreeProjection &dyy, int dim, VariableType varType, int component, Operator l, Operator S, int dimS, Operator dfS, Operator ldf, Operator H, int &nNewLIS, TreeProjection newLIS, int &nNewSIS, TreeProjection newSIS, int &nNewHIS, TreeProjection **newHIS)

virtual TreeProjection *	convert2TreeProjection (Operator *a) const

Protected Attributes
BooleanType	initialized

Friends
Expression	operator* (const double &arg1, const Operator &arg2)

Expression	operator* (const DVector &arg1, const Operator &arg2)

Expression	operator* (const DMatrix &arg1, const Operator &arg2)

Expression	operator+ (const double &arg1, const Operator &arg2)

Expression	operator+ (const DVector &arg1, const Operator &arg2)

Expression	operator+ (const DMatrix &arg1, const Operator &arg2)

Expression	operator- (const double &arg1, const Operator &arg2)

Expression	operator- (const DVector &arg1, const Operator &arg2)

Expression	operator- (const DMatrix &arg1, const Operator &arg2)

Expression	operator/ (const double &arg1, const Operator &arg2)

Expression	operator/ (const DVector &arg1, const Operator &arg2)

Expression	operator/ (const DMatrix &arg1, const Operator &arg2)

std::ostream &	operator<< (std::ostream &stream, const Operator &arg)

ConstraintComponent	operator<= (double lb, const Operator &arg)

ConstraintComponent	operator<= (DVector lb, const Operator &arg)

ConstraintComponent	operator<= (VariablesGrid lb, const Operator &arg)

ConstraintComponent	operator== (double b, const Operator &arg)

ConstraintComponent	operator== (DVector b, const Operator &arg)

ConstraintComponent	operator== (VariablesGrid b, const Operator &arg)

ConstraintComponent	operator>= (double ub, const Operator &arg)

ConstraintComponent	operator>= (DVector ub, const Operator &arg)

ConstraintComponent	operator>= (VariablesGrid ub, const Operator &arg)

Detailed Description

Abstract base class for all scalar-valued symbolic operators.

The class Operator serves as an abstract base class for all scalar-valued symbolic operators.

Author: Boris Houska, Hans Joachim Ferreau

Definition at line 60 of file operator.hpp.

Constructor & Destructor Documentation

BEGIN_NAMESPACE_ACADO Operator::Operator ( )

Default constructor.

Definition at line 47 of file operator.cpp.

Operator::~Operator ( )

virtual

Definition at line 53 of file operator.cpp.

Member Function Documentation

virtual returnValue Operator::AD_backward	(	int	dim,
		VariableType *	varType,
		int *	component,
		Operator *	seed,
		Operator **	df,
		int &	nNewIS,
		TreeProjection ***	newIS
	)

pure virtual

Automatic Differentiation in backward mode on the symbolic
level. This function generates an expression for a
backward derivative

Returns: SUCCESSFUL_RETURN

Parameters

dim	number of directions
varType	the variable types
component	and their components
seed	the backward seed
df	the result
nNewIS	the number of new IS
newIS	the new IS-pointer

Implemented in NonsmoothOperator, SmoothOperator, COperator, Projection, Power, Power_Int, BinaryOperator, DoubleConstant, Product, Quotient, Subtraction, Addition, and UnaryOperator.

virtual returnValue Operator::AD_backward	(	int	number,
		double	seed,
		double *	df
	)

pure virtual

Automatic Differentiation in backward mode based on
buffered values

Returns: SUCCESFUL_RETURN
RET_NAN

Parameters

number	the buffer position
seed	the seed
df	the derivative of the expression

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, BinaryOperator, DoubleConstant, Power_Int, UnaryOperator, Addition, Product, Subtraction, Power, and Quotient.

virtual returnValue Operator::AD_backward2	(	int	number,
		double	seed1,
		double	seed2,
		double *	df,
		double *	ddf
	)

pure virtual

Automatic Differentiation in backward mode for 2nd order
derivatives based on buffered values.

Returns: SUCCESFUL_RETURN
RET_NAN

Parameters

number	the buffer position
seed1	the seed1
seed2	the seed2
df	the 1st derivative of the expression
ddf	the 2nd derivative of the expression

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, BinaryOperator, DoubleConstant, Power_Int, UnaryOperator, Addition, Product, Subtraction, Power, and Quotient.

virtual Operator* Operator::AD_forward	(	int	dim,
		VariableType *	varType,
		int *	component,
		Operator **	seed,
		int &	nNewIS,
		TreeProjection ***	newIS
	)

pure virtual

Automatic Differentiation in forward mode on the symbolic
level. This function generates an expression for a
forward derivative

Returns: SUCCESSFUL_RETURN

Parameters

dim	dimension of the seed
varType	the variable types
component	and their components
seed	the forward seed
nNewIS	the number of new IS
newIS	the new IS-pointer

Implemented in NonsmoothOperator, SmoothOperator, COperator, Projection, Power, Power_Int, BinaryOperator, DoubleConstant, Product, Quotient, Subtraction, UnaryOperator, and Addition.

virtual returnValue Operator::AD_forward	(	int	number,
		double *	x,
		double *	seed,
		double *	f,
		double *	df
	)

pure virtual

Automatic Differentiation in forward mode.
This function stores the intermediate
results in a buffer (needed for 2nd order automatic
differentiation in backward mode)

Returns: SUCCESFUL_RETURN
RET_NAN

Parameters

number	storage position
x	The evaluation point x
seed	the seed
f	the value of the expression at x
df	the derivative of the expression

Implemented in NonsmoothOperator, SmoothOperator, COperator, Projection, DoubleConstant, Power_Int, BinaryOperator, UnaryOperator, Addition, Product, Subtraction, Power, and Quotient.

virtual returnValue Operator::AD_forward	(	int	number,
		double *	seed,
		double *	df
	)

pure virtual

Automatic Differentiation in forward mode.
This function uses the intermediate
results from a buffer

Returns: SUCCESFUL_RETURN
RET_NAN

Parameters

number	storage position
seed	the seed
df	the derivative of the expression

Implemented in NonsmoothOperator, SmoothOperator, BinaryOperator, COperator, Projection, DoubleConstant, Power_Int, UnaryOperator, Addition, Product, Subtraction, Power, and Quotient.

virtual returnValue Operator::AD_forward2	(	int	number,
		double *	seed1,
		double *	seed2,
		double *	df,
		double *	ddf
	)

pure virtual

Automatic Differentiation in forward mode for
2nd derivatives.
This function uses intermediate
results from a buffer.

Returns: SUCCESFUL_RETURN
RET_NAN

Parameters

number	the buffer position
seed1	the seed
seed2	the seed for the first derivative
df	the derivative of the expression
ddf	the 2nd derivative of the expression

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, BinaryOperator, DoubleConstant, Power_Int, UnaryOperator, Addition, Product, Subtraction, Power, and Quotient.

virtual returnValue Operator::AD_symmetric	(	int	dim,
		VariableType *	varType,
		int *	component,
		Operator *	l,
		Operator **	S,
		int	dimS,
		Operator **	dfS,
		Operator **	ldf,
		Operator **	H,
		int &	nNewLIS,
		TreeProjection ***	newLIS,
		int &	nNewSIS,
		TreeProjection ***	newSIS,
		int &	nNewHIS,
		TreeProjection ***	newHIS
	)

pure virtual

Automatic Differentiation in symmetric mode on the symbolic
level. This function generates an expression for a
second order derivative.

Returns: SUCCESSFUL_RETURN

Parameters

dim	number of directions
varType	the variable types
component	and their components
l	the backward seed
S	forward seed matrix
dimS	dimension of forward seed
dfS	first order foward result
ldf	first order backward result
H	upper trianglular part of the Hessian
nNewLIS	the number of newLIS
newLIS	the new LIS-pointer
nNewSIS	the number of newSIS
newSIS	the new SIS-pointer
nNewHIS	the number of newHIS
newHIS	the new HIS-pointer

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, Power, Power_Int, BinaryOperator, DoubleConstant, Product, Subtraction, Addition, Quotient, and UnaryOperator.

returnValue Operator::ADsymCommon	(	Operator *	a,
		TreeProjection &	da,
		TreeProjection &	dda,
		int	dim,
		VariableType *	varType,
		int *	component,
		Operator *	l,
		Operator **	S,
		int	dimS,
		Operator **	dfS,
		Operator **	ldf,
		Operator **	H,
		int &	nNewLIS,
		TreeProjection ***	newLIS,
		int &	nNewSIS,
		TreeProjection ***	newSIS,
		int &	nNewHIS,
		TreeProjection ***	newHIS
	)

protected

Parameters

dim	number of directions
varType	the variable types
component	and their components
l	the backward seed
S	forward seed matrix
dimS	dimension of forward seed
dfS	first order foward result
ldf	first order backward result
H	upper trianglular part of the Hessian
nNewLIS	the number of newLIS
newLIS	the new LIS-pointer
nNewSIS	the number of newSIS
newSIS	the new SIS-pointer
nNewHIS	the number of newHIS
newHIS	the new HIS-pointer

Definition at line 321 of file operator.cpp.

returnValue Operator::ADsymCommon2	(	Operator *	a,
		Operator *	b,
		TreeProjection &	dx,
		TreeProjection &	dy,
		TreeProjection &	dxx,
		TreeProjection &	dxy,
		TreeProjection &	dyy,
		int	dim,
		VariableType *	varType,
		int *	component,
		Operator *	l,
		Operator **	S,
		int	dimS,
		Operator **	dfS,
		Operator **	ldf,
		Operator **	H,
		int &	nNewLIS,
		TreeProjection ***	newLIS,
		int &	nNewSIS,
		TreeProjection ***	newSIS,
		int &	nNewHIS,
		TreeProjection ***	newHIS
	)

protected

Parameters

dim	number of directions
varType	the variable types
component	and their components
l	the backward seed
S	forward seed matrix
dimS	dimension of forward seed
dfS	first order foward result
ldf	first order backward result
H	upper trianglular part of the Hessian
nNewLIS	the number of newLIS
newLIS	the new LIS-pointer
nNewSIS	the number of newSIS
newSIS	the new SIS-pointer
nNewHIS	the number of newHIS
newHIS	the new HIS-pointer

Definition at line 387 of file operator.cpp.

virtual returnValue Operator::clearBuffer ( )

pure virtual

Clears the buffer and resets the buffer size
to 1.

Returns: SUCCESFUL_RETURN

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, DoubleConstant, Power_Int, BinaryOperator, and UnaryOperator.

virtual Operator* Operator::clone ( ) const

pure virtual

Provides a deep copy of the expression.

Returns: a clone of the expression.

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, DoubleConstant, Power_Int, BinaryOperator, UnaryOperator, Addition, Product, Subtraction, Quotient, Power, Cos, Exp, Logarithm, Sin, Tan, Acos, Asin, Atan, and TreeProjection.

TreeProjection * Operator::cloneTreeProjection ( ) const

virtual

Provides a deep copy of a tree projection.

Returns: a clone of the TreeProjection or
an assertion if the type this is
expression is no TreeProjection.

Reimplemented in NonsmoothOperator, SmoothOperator, and TreeProjection.

Definition at line 92 of file operator.cpp.

TreeProjection * Operator::convert2TreeProjection ( Operator * a ) const

protectedvirtual

Definition at line 312 of file operator.cpp.

virtual Operator* Operator::differentiate ( int index )

pure virtual

Returns the derivative of the expression with respect
to the variable var(index).

Returns: The expression for the derivative.

Parameters

index diff. index

Implemented in NonsmoothOperator, SmoothOperator, COperator, Projection, Power, Power_Int, BinaryOperator, DoubleConstant, Product, UnaryOperator, Quotient, Subtraction, and Addition.

virtual returnValue Operator::enumerateVariables ( SymbolicIndexList * indexList )

pure virtual

Enumerates all variables based on a common
IndexList.

Returns: SUCCESFUL_RETURN

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, BinaryOperator, DoubleConstant, Power_Int, and UnaryOperator.

virtual returnValue Operator::evaluate	(	int	number,
		double *	x,
		double *	result
	)

pure virtual

Evaluates the expression and stores the intermediate
results in a buffer (needed for automatic differentiation
in backward mode)

Returns: SUCCESFUL_RETURN
RET_NAN

Parameters

number	storage position
x	the input variable x
result	the result

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, Power, BinaryOperator, DoubleConstant, Power_Int, Product, UnaryOperator, Quotient, Subtraction, and Addition.

virtual returnValue Operator::evaluate ( EvaluationBase * x )

pure virtual

Evaluates the expression (templated version)

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, Power, BinaryOperator, DoubleConstant, Power_Int, Product, UnaryOperator, Quotient, Subtraction, Addition, Acos, Atan, Cos, Exp, Logarithm, Sin, Tan, and Asin.

virtual CurvatureType Operator::getCurvature ( )

pure virtual

Returns the curvature of the expression

Returns: CT_CONSTANT
CT_AFFINE
CT_CONVEX
CT_CONCAVE

Implemented in NonsmoothOperator, SmoothOperator, COperator, Projection, DoubleConstant, BinaryOperator, Power_Int, UnaryOperator, Power, Addition, Product, Subtraction, Quotient, Exp, and Logarithm.

int Operator::getGlobalIndex ( ) const

virtual

Asks the variable for its relative index. the variable for its global index.

Reimplemented in NonsmoothOperator, SmoothOperator, and Projection.

Definition at line 103 of file operator.cpp.

virtual MonotonicityType Operator::getMonotonicity ( )

pure virtual

Returns the monotonicity of the expression.

Returns: MT_NONDECREASING
MT_NONINCREASING
MT_NONMONOTONIC

Implemented in NonsmoothOperator, SmoothOperator, COperator, Projection, DoubleConstant, BinaryOperator, Power_Int, UnaryOperator, Power, Addition, Product, Subtraction, and Quotient.

virtual OperatorName Operator::getName ( )

pure virtual

Asks the expression for its name.

Returns: the name of the expression.

Implemented in NonsmoothOperator, SmoothOperator, COperator, Projection, BinaryOperator, DoubleConstant, Power_Int, UnaryOperator, Addition, Product, Subtraction, Quotient, and Power.

double Operator::getValue ( ) const

virtual

Return the value of the constant

Reimplemented in NonsmoothOperator, SmoothOperator, DoubleConstant, Addition, Product, Subtraction, and Quotient.

Definition at line 211 of file operator.cpp.

returnValue Operator::initDerivative ( )

virtual

Reimplemented in BinaryOperator, Power_Int, Quotient, Power, TreeProjection, Logarithm, Exp, Cos, Sin, Tan, Acos, Asin, and Atan.

Definition at line 519 of file operator.cpp.

virtual BooleanType Operator::isDependingOn ( VariableType var ) const

pure virtual

Asks the expression whether it is depending on a certian type of
variable.

Returns: BT_TRUE if a dependency is detected,
BT_FALSE otherwise.

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, Power_Int, BinaryOperator, DoubleConstant, and UnaryOperator.

virtual BooleanType Operator::isDependingOn	(	int	dim,
		VariableType *	varType,
		int *	component,
		BooleanType *	implicit_dep
	)

pure virtual

Checks whether the expression is depending on a variable

Returns: BT_FALSE if no dependence is detected
BT_TRUE otherwise

Parameters

dim	number of directions
varType	the variable types
component	and their components
implicit_dep	implicit dependencies

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, BinaryOperator, DoubleConstant, Power_Int, UnaryOperator, and TreeProjection.

virtual BooleanType Operator::isLinearIn	(	int	dim,
		VariableType *	varType,
		int *	component,
		BooleanType *	implicit_dep
	)

pure virtual

Checks whether the expression is linear in
(or not depending on) a variable

Returns: BT_FALSE if no linearity is
detected
BT_TRUE otherwise

Parameters

dim	number of directions
varType	the variable types
component	and their components
implicit_dep	implicit dependencies

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, BinaryOperator, DoubleConstant, Power_Int, UnaryOperator, Power, Product, Subtraction, Addition, Quotient, and TreeProjection.

virtual NeutralElement Operator::isOneOrZero ( ) const

pure virtual

Checks whether the expression is zero or one

Returns: NE_ZERO
NE_ONE
NE_NEITHER_ONE_NOR_ZERO

Implemented in NonsmoothOperator, SmoothOperator, TreeProjection, Projection, COperator, Power_Int, BinaryOperator, DoubleConstant, and UnaryOperator.

virtual BooleanType Operator::isPolynomialIn	(	int	dim,
		VariableType *	varType,
		int *	component,
		BooleanType *	implicit_dep
	)

pure virtual

Checks whether the expression is polynomial in
the specified variables

Returns: BT_FALSE if the expression is not polynomial
BT_TRUE otherwise

Parameters

dim	number of directions
varType	the variable types
component	and their components
implicit_dep	implicit dependencies

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, BinaryOperator, DoubleConstant, Power_Int, UnaryOperator, Power, Product, Subtraction, Addition, Quotient, and TreeProjection.

virtual BooleanType Operator::isRationalIn	(	int	dim,
		VariableType *	varType,
		int *	component,
		BooleanType *	implicit_dep
	)

pure virtual

Checks whether the expression is rational in
the specified variables

Returns: BT_FALSE if the expression is not rational
BT_TRUE otherwise

Parameters

dim	number of directions
varType	the variable types
component	and their components
implicit_dep	implicit dependencies

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, BinaryOperator, DoubleConstant, Power_Int, UnaryOperator, Power, Product, Subtraction, Addition, Quotient, and TreeProjection.

virtual BooleanType Operator::isSmooth ( ) const

pure virtual

Checks whether the expression is smooth in time

Returns: BT_FALSE if the expression is not smooth
BT_TRUE otherwise

Implemented in NonsmoothOperator, and SmoothOperator.

virtual BooleanType Operator::isSymbolic ( ) const

pure virtual

Asks whether all elements are purely symbolic.

Returns: BT_TRUE if the complete tree is symbolic.
BT_FALSE otherwise (e.g. if C functions are linked).

Implemented in NonsmoothOperator, SmoothOperator, Projection, DoubleConstant, COperator, Power_Int, BinaryOperator, and UnaryOperator.

BooleanType Operator::isTrivial ( ) const

virtual

Reimplemented in Projection, and TreeProjection.

Definition at line 514 of file operator.cpp.

virtual BooleanType Operator::isVariable	(	VariableType &	varType,
		int &	component
	)		const

pure virtual

Asks the expression whether it is a variable.

Returns: The answer.

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, Power_Int, DoubleConstant, BinaryOperator, and UnaryOperator.

virtual returnValue Operator::loadIndices ( SymbolicIndexList * indexList )

pure virtual

The function loadIndices passes an IndexList through
the whole expression tree. Whenever a variable gets the
IndexList it tries to make an entry. However if a
variable recognices that it has already been added
before it will not be allowed to make a second entry.
Note that all variables, in paticular the intermediate
states, will keep in mind whether they were allowed
to make an entry or not. This guarantees that
intermediate states are never evaluated twice if they
occur at several knots of the tree.

THIS FUNCTION IS FOR INTERNAL USE ONLY.

PLEASE CALL THIS FUNTION AT MOST ONES FOR AN EXPRESSION
AS A KIND OF INIT ROUTINE.

Returns: the name of the expression.

Parameters

indexList The index list to be filled with entries

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, Power_Int, DoubleConstant, BinaryOperator, UnaryOperator, and TreeProjection.

Operator * Operator::myAdd	(	Operator *	a,
		Operator *	b
	)

virtual

Definition at line 246 of file operator.cpp.

Operator * Operator::myLogarithm ( Operator * a )

virtual

Definition at line 304 of file operator.cpp.

Operator * Operator::myPower	(	Operator *	a,
		Operator *	b
	)

virtual

Definition at line 280 of file operator.cpp.

Operator * Operator::myPowerInt	(	Operator *	a,
		int	b
	)

virtual

Definition at line 293 of file operator.cpp.

Operator * Operator::myProd	(	Operator *	a,
		Operator *	b
	)

virtual

Definition at line 232 of file operator.cpp.

Operator * Operator::mySubtract	(	Operator *	a,
		Operator *	b
	)

virtual

Definition at line 263 of file operator.cpp.

Expression Operator::operator* ( const double & arg ) const

Definition at line 154 of file operator.cpp.

Expression Operator::operator* ( const DVector & arg ) const

Definition at line 155 of file operator.cpp.

Expression Operator::operator* ( const DMatrix & arg ) const

Definition at line 156 of file operator.cpp.

Expression Operator::operator* ( const Operator & arg ) const

Definition at line 159 of file operator.cpp.

Expression Operator::operator* ( const Expression & arg ) const

Definition at line 171 of file operator.cpp.

Operator & Operator::operator*= ( const double & arg )

Definition at line 121 of file operator.cpp.

Operator & Operator::operator*= ( const DVector & arg )

Definition at line 122 of file operator.cpp.

Operator & Operator::operator*= ( const DMatrix & arg )

Definition at line 123 of file operator.cpp.

Operator & Operator::operator*= ( const Expression & arg )

Definition at line 124 of file operator.cpp.

Expression Operator::operator+ ( const double & arg ) const

Definition at line 132 of file operator.cpp.

Expression Operator::operator+ ( const DVector & arg ) const

Definition at line 133 of file operator.cpp.

Expression Operator::operator+ ( const DMatrix & arg ) const

Definition at line 134 of file operator.cpp.

Expression Operator::operator+ ( const Operator & arg ) const

Definition at line 135 of file operator.cpp.

Expression Operator::operator+ ( const Expression & arg ) const

Definition at line 136 of file operator.cpp.

Operator & Operator::operator+= ( const double & arg )

Definition at line 111 of file operator.cpp.

Operator & Operator::operator+= ( const DVector & arg )

Definition at line 112 of file operator.cpp.

Operator & Operator::operator+= ( const DMatrix & arg )

Definition at line 113 of file operator.cpp.

Operator & Operator::operator+= ( const Expression & arg )

Definition at line 114 of file operator.cpp.

Expression Operator::operator- ( const double & arg ) const

Definition at line 142 of file operator.cpp.

Expression Operator::operator- ( const DVector & arg ) const

Definition at line 143 of file operator.cpp.

Expression Operator::operator- ( const DMatrix & arg ) const

Definition at line 144 of file operator.cpp.

Expression Operator::operator- ( const Operator & arg ) const

Definition at line 145 of file operator.cpp.

Expression Operator::operator- ( const Expression & arg ) const

Definition at line 146 of file operator.cpp.

Expression Operator::operator- ( ) const

Definition at line 148 of file operator.cpp.

Operator & Operator::operator-= ( const double & arg )

Definition at line 116 of file operator.cpp.

Operator & Operator::operator-= ( const DVector & arg )

Definition at line 117 of file operator.cpp.

Operator & Operator::operator-= ( const DMatrix & arg )

Definition at line 118 of file operator.cpp.

Operator & Operator::operator-= ( const Expression & arg )

Definition at line 119 of file operator.cpp.

Expression Operator::operator/ ( const double & arg ) const

Definition at line 177 of file operator.cpp.

Expression Operator::operator/ ( const Operator & arg ) const

Definition at line 178 of file operator.cpp.

Expression Operator::operator/ ( const Expression & arg ) const

Definition at line 179 of file operator.cpp.

Operator & Operator::operator/= ( const double & arg )

Definition at line 126 of file operator.cpp.

Operator & Operator::operator/= ( const Expression & arg )

Definition at line 127 of file operator.cpp.

ConstraintComponent Operator::operator<= ( const double & ub ) const

Definition at line 185 of file operator.cpp.

ConstraintComponent Operator::operator<= ( const DVector & ub ) const

Definition at line 189 of file operator.cpp.

ConstraintComponent Operator::operator<= ( const VariablesGrid & ub ) const

Definition at line 193 of file operator.cpp.

Operator & Operator::operator= ( const double & arg )

virtual

Sets the argument (note that arg should have dimension 1).

Reimplemented in TreeProjection, NonsmoothOperator, and SmoothOperator.

Definition at line 56 of file operator.cpp.

Operator & Operator::operator= ( const DVector & arg )

virtual

Reimplemented in NonsmoothOperator, and SmoothOperator.

Definition at line 63 of file operator.cpp.

Operator & Operator::operator= ( const DMatrix & arg )

virtual

Reimplemented in NonsmoothOperator, and SmoothOperator.

Definition at line 70 of file operator.cpp.

Operator & Operator::operator= ( const Expression & arg )

virtual

Reimplemented in TreeProjection, NonsmoothOperator, and SmoothOperator.

Definition at line 77 of file operator.cpp.

Operator & Operator::operator= ( const Operator & arg )

virtual

Reimplemented in TreeProjection, NonsmoothOperator, and SmoothOperator.

Definition at line 84 of file operator.cpp.

ConstraintComponent Operator::operator== ( const double & b ) const

Definition at line 187 of file operator.cpp.

ConstraintComponent Operator::operator== ( const DVector & b ) const

Definition at line 191 of file operator.cpp.

ConstraintComponent Operator::operator== ( const VariablesGrid & b ) const

Definition at line 195 of file operator.cpp.

ConstraintComponent Operator::operator>= ( const double & lb ) const

Definition at line 186 of file operator.cpp.

ConstraintComponent Operator::operator>= ( const DVector & lb ) const

Definition at line 190 of file operator.cpp.

ConstraintComponent Operator::operator>= ( const VariablesGrid & lb ) const

Definition at line 194 of file operator.cpp.

Operator * Operator::passArgument ( ) const

virtual

Returns the argument or NULL if no intermediate argument available

Reimplemented in NonsmoothOperator, SmoothOperator, and TreeProjection.

Definition at line 218 of file operator.cpp.

virtual std::ostream& Operator::print ( std::ostream & stream ) const

pure virtual

Prints the expression into a stream.

Returns: SUCCESFUL_RETURN

Implemented in NonsmoothOperator, SmoothOperator, BinaryOperator, Projection, COperator, DoubleConstant, Power_Int, UnaryOperator, Addition, Product, Subtraction, Power, and Quotient.

virtual returnValue Operator::setCurvature ( CurvatureType curvature_ )

pure virtual

Overwrites the curvature of the expression.
(For the case that the curvature is explicitly known)

Returns: SUCCESSFUL_RETURN

Implemented in NonsmoothOperator, SmoothOperator, COperator, Projection, DoubleConstant, BinaryOperator, Power_Int, and UnaryOperator.

virtual returnValue Operator::setMonotonicity ( MonotonicityType monotonicity_ )

pure virtual

Overwrites the monotonicity of the expression.
(For the case that the monotonicity is explicitly known)

Returns: SUCCESSFUL_RETURN

Implemented in NonsmoothOperator, SmoothOperator, COperator, Projection, DoubleConstant, BinaryOperator, Power_Int, and UnaryOperator.

returnValue Operator::setVariableExportName	(	const VariableType &	_type,
		const std::vector< std::string > &	_name
	)

virtual

Sets the name of the variable that is used for code export.

Returns: SUCCESSFUL_RETURN

Reimplemented in Projection, UnaryOperator, Power_Int, BinaryOperator, and TreeProjection.

Definition at line 223 of file operator.cpp.

virtual Operator* Operator::substitute	(	int	index,
		const Operator *	sub
	)

pure virtual

Substitutes var(index) with the expression sub.

Returns: The substituted expression.

Parameters

index	subst. index
sub	the substitution

Implemented in NonsmoothOperator, SmoothOperator, Projection, COperator, Power, Power_Int, BinaryOperator, DoubleConstant, Product, Subtraction, Addition, Quotient, UnaryOperator, Cos, Exp, Logarithm, Sin, Tan, Acos, Asin, and Atan.

Friends And Related Function Documentation

Expression operator*	(	const double &	arg1,
		const Operator &	arg2
	)

friend

Definition at line 173 of file operator.cpp.

Expression operator*	(	const DVector &	arg1,
		const Operator &	arg2
	)

friend

Definition at line 174 of file operator.cpp.

Expression operator*	(	const DMatrix &	arg1,
		const Operator &	arg2
	)

friend

Definition at line 175 of file operator.cpp.

Expression operator+	(	const double &	arg1,
		const Operator &	arg2
	)

friend

Definition at line 138 of file operator.cpp.

Expression operator+	(	const DVector &	arg1,
		const Operator &	arg2
	)

friend

Definition at line 139 of file operator.cpp.

Expression operator+	(	const DMatrix &	arg1,
		const Operator &	arg2
	)

friend

Definition at line 140 of file operator.cpp.

Expression operator-	(	const double &	arg1,
		const Operator &	arg2
	)

friend

Definition at line 150 of file operator.cpp.

Expression operator-	(	const DVector &	arg1,
		const Operator &	arg2
	)

friend

Definition at line 151 of file operator.cpp.

Expression operator-	(	const DMatrix &	arg1,
		const Operator &	arg2
	)

friend

Definition at line 152 of file operator.cpp.

Expression operator/	(	const double &	arg1,
		const Operator &	arg2
	)

friend

Definition at line 181 of file operator.cpp.

Expression operator/	(	const DVector &	arg1,
		const Operator &	arg2
	)

friend

Definition at line 182 of file operator.cpp.

Expression operator/	(	const DMatrix &	arg1,
		const Operator &	arg2
	)

friend

Definition at line 183 of file operator.cpp.

std::ostream& operator<<	(	std::ostream &	stream,
		const Operator &	arg
	)

friend

Prints the expression into a stream ("flush" version).

Returns: SUCCESFUL_RETURN

Definition at line 213 of file operator.cpp.

ConstraintComponent operator<=	(	double	lb,
		const Operator &	arg
	)

friend

Definition at line 197 of file operator.cpp.

ConstraintComponent operator<=	(	DVector	lb,
		const Operator &	arg
	)

friend

Definition at line 201 of file operator.cpp.

ConstraintComponent operator<=	(	VariablesGrid	lb,
		const Operator &	arg
	)

friend

Definition at line 205 of file operator.cpp.

ConstraintComponent operator==	(	double	b,
		const Operator &	arg
	)

friend

Definition at line 198 of file operator.cpp.

ConstraintComponent operator==	(	DVector	b,
		const Operator &	arg
	)

friend

Definition at line 202 of file operator.cpp.

ConstraintComponent operator==	(	VariablesGrid	b,
		const Operator &	arg
	)

friend

Definition at line 206 of file operator.cpp.

ConstraintComponent operator>=	(	double	ub,
		const Operator &	arg
	)

friend

Definition at line 199 of file operator.cpp.

ConstraintComponent operator>=	(	DVector	ub,
		const Operator &	arg
	)

friend

Definition at line 203 of file operator.cpp.

ConstraintComponent operator>=	(	VariablesGrid	ub,
		const Operator &	arg
	)

friend

Definition at line 207 of file operator.cpp.

Member Data Documentation

BooleanType Operator::initialized

protected

Definition at line 642 of file operator.hpp.

int Operator::nCount

Definition at line 556 of file operator.hpp.

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

Public Member Functions

Public Attributes

Protected Member Functions

Protected Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation