Implements the scalar power operator with integer exponent within the symbolic operators family. More...

#include <powerint.hpp>

Inheritance diagram for Power_Int:

Public Member Functions
virtual returnValue	AD_backward (int dim, VariableType varType, int component, Operator seed, Operator df, int &nNewIS, TreeProjection **newIS)
virtual returnValue	AD_backward (int number, double seed, double *df)
virtual returnValue	AD_backward2 (int number, double seed1, double seed2, double df, double ddf)
virtual Operator *	AD_forward (int dim, VariableType varType, int component, Operator seed, int &nNewIS, TreeProjection *newIS)
virtual returnValue	AD_forward (int number, double seed, double df)
virtual returnValue	AD_forward (int number, double x, double seed, double f, double df)
virtual returnValue	AD_forward2 (int number, double seed1, double seed2, double df, double ddf)
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)
virtual returnValue	clearBuffer ()
virtual Operator *	clone () const
virtual Operator *	differentiate (int index)
virtual returnValue	enumerateVariables (SymbolicIndexList *indexList)
virtual returnValue	evaluate (int number, double x, double result)
virtual returnValue	evaluate (EvaluationBase *x)
virtual CurvatureType	getCurvature ()
virtual MonotonicityType	getMonotonicity ()
virtual OperatorName	getName ()
virtual returnValue	initDerivative ()
virtual BooleanType	isDependingOn (VariableType var) const
virtual BooleanType	isDependingOn (int dim, VariableType varType, int component, BooleanType *implicit_dep)
virtual BooleanType	isLinearIn (int dim, VariableType varType, int component, BooleanType *implicit_dep)
virtual NeutralElement	isOneOrZero () const
virtual BooleanType	isPolynomialIn (int dim, VariableType varType, int component, BooleanType *implicit_dep)
virtual BooleanType	isRationalIn (int dim, VariableType varType, int component, BooleanType *implicit_dep)
virtual BooleanType	isSymbolic () const
virtual BooleanType	isVariable (VariableType &varType, int &component) const
virtual returnValue	loadIndices (SymbolicIndexList *indexList)
Power_Int &	operator= (const Power_Int &arg)
	Power_Int ()
	Power_Int (Operator *_argument, int _exponent)
	Power_Int (const Power_Int &arg)
virtual std::ostream &	print (std::ostream &stream) const
virtual returnValue	setCurvature (CurvatureType curvature_)
virtual returnValue	setMonotonicity (MonotonicityType monotonicity_)
virtual returnValue	setVariableExportName (const VariableType &_type, const std::vector< std::string > &_name)
virtual Operator *	substitute (int index, const Operator *sub)
	~Power_Int ()
Protected Attributes
Operator *	argument
double *	argument_result
int	bufferSize
CurvatureType	curvature
Operator *	dargument
double *	dargument_result
TreeProjection *	derivative
TreeProjection *	derivative2
int	exponent
MonotonicityType	monotonicity

Detailed Description

Implements the scalar power operator with integer exponent within the symbolic operators family.

The class Power_Int implements the scalar power operator with integer exponent within the symbolic operators family.

Author:: Boris Houska, Hans Joachim Ferreau

Definition at line 55 of file powerint.hpp.

Constructor & Destructor Documentation

BEGIN_NAMESPACE_ACADO Power_Int::Power_Int ( )

Default constructor.

Definition at line 45 of file powerint.cpp.

Power_Int::Power_Int	(	Operator *	_argument,
		int	_exponent
	)

Default constructor.

Definition at line 52 of file powerint.cpp.

Power_Int::Power_Int ( const Power_Int & arg )

Copy constructor (deep copy).

Definition at line 69 of file powerint.cpp.

Power_Int::~Power_Int ( )

Default destructor.

Definition at line 110 of file powerint.cpp.

Member Function Documentation

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

Implements SmoothOperator.

Definition at line 241 of file powerint.cpp.

returnValue Power_Int::AD_backward	(	int	number,
		double	seed,
		double *	df
	)		`[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

Implements SmoothOperator.

Definition at line 479 of file powerint.cpp.

returnValue Power_Int::AD_backward2	(	int	number,
		double	seed1,
		double	seed2,
		double *	df,
		double *	ddf
	)		`[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

Implements SmoothOperator.

Definition at line 503 of file powerint.cpp.

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

Implements SmoothOperator.

Definition at line 222 of file powerint.cpp.

returnValue Power_Int::AD_forward	(	int	number,
		double *	seed,
		double *	df
	)		`[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

Implements SmoothOperator.

Definition at line 468 of file powerint.cpp.

returnValue Power_Int::AD_forward	(	int	number,
		double *	x,
		double *	seed,
		double *	f,
		double *	df
	)		`[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

Implements SmoothOperator.

Definition at line 449 of file powerint.cpp.

returnValue Power_Int::AD_forward2	(	int	number,
		double *	seed1,
		double *	seed2,
		double *	df,
		double *	ddf
	)		`[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

Implements SmoothOperator.

Definition at line 485 of file powerint.cpp.

returnValue Power_Int::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
	)		`[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

Implements SmoothOperator.

Definition at line 259 of file powerint.cpp.

returnValue Power_Int::clearBuffer ( ) [virtual]

Clears the buffer and resets the buffer size
to 1.

Returns:: SUCCESFUL_RETURN

Implements SmoothOperator.

Definition at line 560 of file powerint.cpp.

Operator * Power_Int::clone ( ) const [virtual]

Provides a deep copy of the expression.

Returns:: a clone of the expression.

Implements SmoothOperator.

Definition at line 554 of file powerint.cpp.

Operator * Power_Int::differentiate ( int index ) [virtual]

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

Returns:: The expression for the derivative.

Parameters:

index diff. index

Implements SmoothOperator.

Definition at line 208 of file powerint.cpp.

returnValue Power_Int::enumerateVariables ( SymbolicIndexList * indexList ) [virtual]

Enumerates all variables based on a common
IndexList.

Returns:: SUCCESFUL_RETURN

Implements SmoothOperator.

Definition at line 572 of file powerint.cpp.

returnValue Power_Int::evaluate	(	int	number,
		double *	x,
		double *	result
	)		`[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

Implements SmoothOperator.

Definition at line 186 of file powerint.cpp.

returnValue Power_Int::evaluate ( EvaluationBase * x ) [virtual]

Evaluates the expression (templated version)

Implements SmoothOperator.

Definition at line 201 of file powerint.cpp.

CurvatureType Power_Int::getCurvature ( ) [virtual]

Returns the curvature of the expression

Returns:: CT_CONSTANT
CT_AFFINE
CT_CONVEX
CT_CONCAVE

Implements SmoothOperator.

Definition at line 408 of file powerint.cpp.

MonotonicityType Power_Int::getMonotonicity ( ) [virtual]

Returns the monotonicity of the expression.

Returns:: MT_NONDECREASING
MT_NONINCREASING
MT_NONMONOTONIC

Implements SmoothOperator.

Definition at line 383 of file powerint.cpp.

OperatorName Power_Int::getName ( ) [virtual]

Asks the expression for its name.

Returns:: the name of the expression.

Implements SmoothOperator.

Definition at line 583 of file powerint.cpp.

returnValue Power_Int::initDerivative ( ) [virtual]

Reimplemented from Operator.

Definition at line 283 of file powerint.cpp.

BooleanType Power_Int::isDependingOn ( VariableType var ) const [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.

Implements SmoothOperator.

Definition at line 320 of file powerint.cpp.

BooleanType Power_Int::isDependingOn	(	int	dim,
		VariableType *	varType,
		int *	component,
		BooleanType *	implicit_dep
	)		`[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

Implements SmoothOperator.

Definition at line 326 of file powerint.cpp.

BooleanType Power_Int::isLinearIn	(	int	dim,
		VariableType *	varType,
		int *	component,
		BooleanType *	implicit_dep
	)		`[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

Implements SmoothOperator.

Definition at line 339 of file powerint.cpp.

NeutralElement Power_Int::isOneOrZero ( ) const [virtual]

Checks whether the expression is zero or one

Returns:: NE_ZERO
NE_ONE
NE_NEITHER_ONE_NOR_ZERO

Implements SmoothOperator.

Definition at line 317 of file powerint.cpp.

BooleanType Power_Int::isPolynomialIn	(	int	dim,
		VariableType *	varType,
		int *	component,
		BooleanType *	implicit_dep
	)		`[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

Implements SmoothOperator.

Definition at line 356 of file powerint.cpp.

BooleanType Power_Int::isRationalIn	(	int	dim,
		VariableType *	varType,
		int *	component,
		BooleanType *	implicit_dep
	)		`[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

Implements SmoothOperator.

Definition at line 370 of file powerint.cpp.

BooleanType Power_Int::isSymbolic ( ) const [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).

Implements SmoothOperator.

Definition at line 599 of file powerint.cpp.

BooleanType Power_Int::isVariable	(	VariableType &	varType,
		int &	component
	)		const `[virtual]`

Asks the expression whether it is a variable.

Returns:: The answer.

Implements SmoothOperator.

Definition at line 588 of file powerint.cpp.

returnValue Power_Int::loadIndices ( SymbolicIndexList * indexList ) [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.