#include <example_01.hpp>

Inheritance diagram for BoundConstraint_BurgersControl< Real >:

Public Member Functions
	BoundConstraint_BurgersControl (int dim)

bool	isFeasible (const ROL::Vector< Real > &x)
	Check if the vector, v, is feasible. More...

void	project (ROL::Vector< Real > &x)
	Project optimization variables onto the bounds. More...

void	pruneLowerActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps)
	Set variables to zero if they correspond to the lower \(\epsilon\)-active set. More...

void	pruneUpperActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &x, Real eps)
	Set variables to zero if they correspond to the upper \(\epsilon\)-active set. More...

void	pruneLowerActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps)
	Set variables to zero if they correspond to the \(\epsilon\)-binding set. More...

void	pruneUpperActive (ROL::Vector< Real > &v, const ROL::Vector< Real > &g, const ROL::Vector< Real > &x, Real eps)
	Set variables to zero if they correspond to the upper \(\epsilon\)-binding set. More...

void	setVectorToUpperBound (ROL::Vector< Real > &u)

void	setVectorToLowerBound (ROL::Vector< Real > &l)

Public Member Functions inherited from ROL::BoundConstraint< Real >
virtual	~BoundConstraint ()

	BoundConstraint (void)

	BoundConstraint (const Vector< Real > &x)

virtual void	update (const Vector< Real > &x, bool flag=true, int iter=-1)
	Update bounds. More...

virtual void	projectInterior (Vector< Real > &x)
	Project optimization variables into the interior of the feasible set. More...

virtual const ROL::Ptr< const Vector< Real > >	getLowerBound (void) const
	Return the ref count pointer to the lower bound vector. More...

virtual const ROL::Ptr< const Vector< Real > >	getUpperBound (void) const
	Return the ref count pointer to the upper bound vector. More...

void	activateLower (void)
	Turn on lower bound. More...

void	activateUpper (void)
	Turn on upper bound. More...

void	activate (void)
	Turn on bounds. More...

void	deactivateLower (void)
	Turn off lower bound. More...

void	deactivateUpper (void)
	Turn off upper bound. More...

void	deactivate (void)
	Turn off bounds. More...

bool	isLowerActivated (void) const
	Check if lower bound are on. More...

bool	isUpperActivated (void) const
	Check if upper bound are on. More...

bool	isActivated (void) const
	Check if bounds are on. More...

void	pruneActive (Vector< Real > &v, const Vector< Real > &x, Real eps=0)
	Set variables to zero if they correspond to the \(\epsilon\)-active set. More...

void	pruneActive (Vector< Real > &v, const Vector< Real > &g, const Vector< Real > &x, Real eps=0)
	Set variables to zero if they correspond to the \(\epsilon\)-binding set. More...

void	pruneLowerInactive (Vector< Real > &v, const Vector< Real > &x, Real eps=0)
	Set variables to zero if they correspond to the \(\epsilon\)-inactive set. More...

void	pruneUpperInactive (Vector< Real > &v, const Vector< Real > &x, Real eps=0)
	Set variables to zero if they correspond to the \(\epsilon\)-inactive set. More...

void	pruneLowerInactive (Vector< Real > &v, const Vector< Real > &g, const Vector< Real > &x, Real eps=0)
	Set variables to zero if they correspond to the \(\epsilon\)-nonbinding set. More...

void	pruneUpperInactive (Vector< Real > &v, const Vector< Real > &g, const Vector< Real > &x, Real eps=0)
	Set variables to zero if they correspond to the \(\epsilon\)-nonbinding set. More...

void	pruneInactive (Vector< Real > &v, const Vector< Real > &x, Real eps=0)
	Set variables to zero if they correspond to the \(\epsilon\)-inactive set. More...

void	pruneInactive (Vector< Real > &v, const Vector< Real > &g, const Vector< Real > &x, Real eps=0)
	Set variables to zero if they correspond to the \(\epsilon\)-nonbinding set. More...

void	computeProjectedGradient (Vector< Real > &g, const Vector< Real > &x)
	Compute projected gradient. More...

void	computeProjectedStep (Vector< Real > &v, const Vector< Real > &x)
	Compute projected step. More...

Private Attributes
int	dim_

std::vector< Real >	x_lo_

std::vector< Real >	x_up_

Real	min_diff_

Detailed Description

template<class Real>
class BoundConstraint_BurgersControl< Real >

Definition at line 466 of file burgers-control/example_01.hpp.

Constructor & Destructor Documentation

template<class Real >

BoundConstraint_BurgersControl< Real >::BoundConstraint_BurgersControl ( int dim )

inline

Definition at line 473 of file burgers-control/example_01.hpp.

References BoundConstraint_BurgersControl< Real >::dim_, BoundConstraint_BurgersControl< Real >::x_lo_, and BoundConstraint_BurgersControl< Real >::x_up_.

Member Function Documentation

template<class Real >

bool BoundConstraint_BurgersControl< Real >::isFeasible ( const ROL::Vector< Real > & v )

inlinevirtual

Check if the vector, v, is feasible.

This function returns true if \(v = P_{[a,b]}(v)\).

Parameters

[in] v is the vector to be checked.

Reimplemented from ROL::BoundConstraint< Real >.

Definition at line 477 of file burgers-control/example_01.hpp.

References BoundConstraint_BurgersControl< Real >::dim_, BoundConstraint_BurgersControl< Real >::x_lo_, and BoundConstraint_BurgersControl< Real >::x_up_.

template<class Real >

void BoundConstraint_BurgersControl< Real >::project ( ROL::Vector< Real > & x )

inlinevirtual

Project optimization variables onto the bounds.

This function implements the projection of \(x\) onto the bounds, i.e.,

\[ (P_{[a,b]}(x))(\xi) = \min\{b(\xi),\max\{a(\xi),x(\xi)\}\} \quad \text{for almost every }\xi\in\Xi. \]

Parameters

[in,out] x is the optimization variable.

Reimplemented from ROL::BoundConstraint< Real >.

Definition at line 489 of file burgers-control/example_01.hpp.

References BoundConstraint_BurgersControl< Real >::dim_, BoundConstraint_BurgersControl< Real >::x_lo_, and BoundConstraint_BurgersControl< Real >::x_up_.

template<class Real >

void BoundConstraint_BurgersControl< Real >::pruneLowerActive	(	ROL::Vector< Real > &	v,
		const ROL::Vector< Real > &	x,
		Real	eps
	)

inlinevirtual

Set variables to zero if they correspond to the lower \(\epsilon\)-active set.

This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}^-_\epsilon(x)\). Here, the lower \(\epsilon\)-active set is defined as

\[ \mathcal{A}^-_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = a(\xi)+\epsilon\,\}. \]

Parameters

[out]	v	is the variable to be pruned.
[in]	x	is the current optimization variable.
[in]	eps	is the active-set tolerance \(\epsilon\).

Reimplemented from ROL::BoundConstraint< Real >.

Definition at line 496 of file burgers-control/example_01.hpp.

References BoundConstraint_BurgersControl< Real >::dim_, BoundConstraint_BurgersControl< Real >::min_diff_, and BoundConstraint_BurgersControl< Real >::x_lo_.

template<class Real >

void BoundConstraint_BurgersControl< Real >::pruneUpperActive	(	ROL::Vector< Real > &	v,
		const ROL::Vector< Real > &	x,
		Real	eps
	)

inlinevirtual

Set variables to zero if they correspond to the upper \(\epsilon\)-active set.

This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{A}^+_\epsilon(x)\). Here, the upper \(\epsilon\)-active set is defined as

\[ \mathcal{A}^+_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = b(\xi)-\epsilon\,\}. \]

Parameters

[out]	v	is the variable to be pruned.
[in]	x	is the current optimization variable.
[in]	eps	is the active-set tolerance \(\epsilon\).

Reimplemented from ROL::BoundConstraint< Real >.

Definition at line 508 of file burgers-control/example_01.hpp.

References BoundConstraint_BurgersControl< Real >::dim_, BoundConstraint_BurgersControl< Real >::min_diff_, and BoundConstraint_BurgersControl< Real >::x_up_.

template<class Real >

void BoundConstraint_BurgersControl< Real >::pruneLowerActive	(	ROL::Vector< Real > &	v,
		const ROL::Vector< Real > &	g,
		const ROL::Vector< Real > &	x,
		Real	eps
	)

inlinevirtual

Set variables to zero if they correspond to the \(\epsilon\)-binding set.

This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}^-_\epsilon(x)\). Here, the lower \(\epsilon\)-binding set is defined as

\[ \mathcal{B}^-_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = a(\xi)+\epsilon,\; g(\xi) > 0 \,\}. \]

Parameters

[out]	v	is the variable to be pruned.
[in]	g	is the negative search direction.
[in]	x	is the current optimization variable.
[in]	eps	is the active-set tolerance \(\epsilon\).

Reimplemented from ROL::BoundConstraint< Real >.

Definition at line 520 of file burgers-control/example_01.hpp.

References BoundConstraint_BurgersControl< Real >::dim_, BoundConstraint_BurgersControl< Real >::min_diff_, and BoundConstraint_BurgersControl< Real >::x_lo_.

template<class Real >

void BoundConstraint_BurgersControl< Real >::pruneUpperActive	(	ROL::Vector< Real > &	v,
		const ROL::Vector< Real > &	g,
		const ROL::Vector< Real > &	x,
		Real	eps
	)

inlinevirtual

Set variables to zero if they correspond to the upper \(\epsilon\)-binding set.

This function sets \(v(\xi)=0\) if \(\xi\in\mathcal{B}^+_\epsilon(x)\). Here, the upper \(\epsilon\)-binding set is defined as

\[ \mathcal{B}^+_\epsilon(x) = \{\,\xi\in\Xi\,:\,x(\xi) = b(\xi)-\epsilon,\; g(\xi) < 0 \,\}. \]

Parameters

[out]	v	is the variable to be pruned.
[in]	g	is the negative search direction.
[in]	x	is the current optimization variable.
[in]	eps	is the active-set tolerance \(\epsilon\).