Defines the equality constraint operator interface for StdVectors. More...

#include <ROL_StdConstraint.hpp>

Inheritance diagram for ROL::StdConstraint< Real >:

Public Member Functions
virtual	~StdConstraint ()

void	update (const Vector< Real > &x, bool flag=true, int iter=-1)
	Update constraint functions. x is the optimization variable, flag = true if optimization variable is changed, iter is the outer algorithm iterations count. More...

virtual void	update (const std::vector< Real > &x, bool flag=true, int iter=-1)

void	value (Vector< Real > &c, const Vector< Real > &x, Real &tol)
	Evaluate the constraint operator \(c:\mathcal{X} \rightarrow \mathcal{C}\) at \(x\). More...

virtual void	value (std::vector< Real > &c, const std::vector< Real > &x, Real &tol)=0

void	applyJacobian (Vector< Real > &jv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
	Apply the constraint Jacobian at \(x\), \(c'(x) \in L(\mathcal{X}, \mathcal{C})\), to vector \(v\). More...

virtual void	applyJacobian (std::vector< Real > &jv, const std::vector< Real > &v, const std::vector< Real > &x, Real &tol)

void	applyAdjointJacobian (Vector< Real > &ajv, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
	Apply the adjoint of the the constraint Jacobian at \(x\), \(c'(x)^* \in L(\mathcal{C}^, \mathcal{X}^)\), to vector \(v\). More...

virtual void	applyAdjointJacobian (std::vector< Real > &ajv, const std::vector< Real > &v, const std::vector< Real > &x, Real &tol)

void	applyAdjointHessian (Vector< Real > &ahuv, const Vector< Real > &u, const Vector< Real > &v, const Vector< Real > &x, Real &tol)
	Apply the derivative of the adjoint of the constraint Jacobian at \(x\) to vector \(u\) in direction \(v\), according to \( v \mapsto c''(x)(v,\cdot)^*u \). More...

virtual void	applyAdjointHessian (std::vector< Real > &ahuv, const std::vector< Real > &u, const std::vector< Real > &v, const std::vector< Real > &x, Real &tol)

std::vector< Real >	solveAugmentedSystem (Vector< Real > &v1, Vector< Real > &v2, const Vector< Real > &b1, const Vector< Real > &b2, const Vector< Real > &x, Real &tol)
	Approximately solves the augmented system \[ \begin{pmatrix} I & c'(x)^* \\ c'(x) & 0 \end{pmatrix} \begin{pmatrix} v_{1} \\ v_{2} \end{pmatrix} = \begin{pmatrix} b_{1} \\ b_{2} \end{pmatrix} \] where \(v_{1} \in \mathcal{X}\), \(v_{2} \in \mathcal{C}^\), \(b_{1} \in \mathcal{X}^\), \(b_{2} \in \mathcal{C}\), \(I : \mathcal{X} \rightarrow \mathcal{X}^\) is an identity or Riesz operator, and \(0 : \mathcal{C}^ \rightarrow \mathcal{C}\) is a zero operator. More...

virtual std::vector< Real >	solveAugmentedSystem (std::vector< Real > &v1, std::vector< Real > &v2, const std::vector< Real > &b1, const std::vector< Real > &b2, const std::vector< Real > &x, Real tol)

void	applyPreconditioner (Vector< Real > &pv, const Vector< Real > &v, const Vector< Real > &x, const Vector< Real > &g, Real &tol)
	Apply a constraint preconditioner at \(x\), \(P(x) \in L(\mathcal{C}, \mathcal{C}^)\), to vector \(v\). Ideally, this preconditioner satisfies the following relationship: \[ \left[c'(x) \circ R \circ c'(x)^ \circ P(x)\right] v = v \,, \] where R is the appropriate Riesz map in \(L(\mathcal{X}^*, \mathcal{X})\). It is used by the solveAugmentedSystem method. More...

virtual void	applyPreconditioner (std::vector< Real > &pv, const std::vector< Real > &v, const std::vector< Real > &x, const std::vector< Real > &g, Real &tol)

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

	Constraint (void)

virtual void	applyAdjointJacobian (Vector< Real > &ajv, const Vector< Real > &v, const Vector< Real > &x, const Vector< Real > &dualv, Real &tol)
	Apply the adjoint of the the constraint Jacobian at \(x\), \(c'(x)^* \in L(\mathcal{C}^, \mathcal{X}^)\), to vector \(v\). More...

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

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

bool	isActivated (void)
	Check if constraints are on. More...

virtual std::vector < std::vector< Real > >	checkApplyJacobian (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &jv, const std::vector< Real > &steps, const bool printToStream=true, std::ostream &outStream=std::cout, const int order=1)
	Finite-difference check for the constraint Jacobian application. More...

virtual std::vector < std::vector< Real > >	checkApplyJacobian (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &jv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
	Finite-difference check for the constraint Jacobian application. More...

virtual std::vector < std::vector< Real > >	checkApplyAdjointJacobian (const Vector< Real > &x, const Vector< Real > &v, const Vector< Real > &c, const Vector< Real > &ajv, const bool printToStream=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS)
	Finite-difference check for the application of the adjoint of constraint Jacobian. More...

virtual Real	checkAdjointConsistencyJacobian (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &x, const bool printToStream=true, std::ostream &outStream=std::cout)

virtual Real	checkAdjointConsistencyJacobian (const Vector< Real > &w, const Vector< Real > &v, const Vector< Real > &x, const Vector< Real > &dualw, const Vector< Real > &dualv, const bool printToStream=true, std::ostream &outStream=std::cout)

virtual std::vector < std::vector< Real > >	checkApplyAdjointHessian (const Vector< Real > &x, const Vector< Real > &u, const Vector< Real > &v, const Vector< Real > &hv, const std::vector< Real > &step, const bool printToScreen=true, std::ostream &outStream=std::cout, const int order=1)
	Finite-difference check for the application of the adjoint of constraint Hessian. More...

virtual std::vector < std::vector< Real > >	checkApplyAdjointHessian (const Vector< Real > &x, const Vector< Real > &u, const Vector< Real > &v, const Vector< Real > &hv, const bool printToScreen=true, std::ostream &outStream=std::cout, const int numSteps=ROL_NUM_CHECKDERIV_STEPS, const int order=1)
	Finite-difference check for the application of the adjoint of constraint Hessian. More...

virtual void	setParameter (const std::vector< Real > &param)

Additional Inherited Members
Protected Member Functions inherited from ROL::Constraint< Real >
const std::vector< Real >	getParameter (void) const

Detailed Description

template<class Real>
class ROL::StdConstraint< Real >

Defines the equality constraint operator interface for StdVectors.

Definition at line 59 of file ROL_StdConstraint.hpp.

Constructor & Destructor Documentation

template<class Real >

virtual ROL::StdConstraint< Real >::~StdConstraint ( )

inlinevirtual

Definition at line 62 of file ROL_StdConstraint.hpp.

Member Function Documentation

template<class Real >

void ROL::StdConstraint< Real >::update	(	const Vector< Real > &	x,
		bool	flag = `true`,
		int	iter = `-1`
	)

inlinevirtual

Update constraint functions. x is the optimization variable, flag = true if optimization variable is changed, iter is the outer algorithm iterations count.

Reimplemented from ROL::Constraint< Real >.

Definition at line 66 of file ROL_StdConstraint.hpp.

References ROL::StdVector< Real, Element >::getVector().

template<class Real >

virtual void ROL::StdConstraint< Real >::update	(	const std::vector< Real > &	x,
		bool	flag = `true`,
		int	iter = `-1`
	)

inlinevirtual

Definition at line 71 of file ROL_StdConstraint.hpp.

template<class Real >

void ROL::StdConstraint< Real >::value	(	Vector< Real > &	c,
		const Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

Evaluate the constraint operator \(c:\mathcal{X} \rightarrow \mathcal{C}\) at \(x\).

Parameters

[out]	c	is the result of evaluating the constraint operator at x; a constraint-space vector
[in]	x	is the constraint argument; an optimization-space vector
[in,out]	tol	is a tolerance for inexact evaluations; currently unused

On return, \(\mathsf{c} = c(x)\), where \(\mathsf{c} \in \mathcal{C}\), \(\mathsf{x} \in \mathcal{X}\).

Implements ROL::Constraint< Real >.

Definition at line 75 of file ROL_StdConstraint.hpp.

References ROL::StdVector< Real, Element >::getVector().

template<class Real >

virtual void ROL::StdConstraint< Real >::value	(	std::vector< Real > &	c,
		const std::vector< Real > &	x,
		Real &	tol
	)

pure virtual

Implemented in ROL::ZOO::Constraint_Cantilever< Real >, ROL::ZOO::Constraint_CylinderHead< Real >, ROL::ZOO::Constraint_CantileverBeam< Real >, ROL::ZOO::Constraint_Cubic< Real >, and ROL::ZOO::Constraint_Quartic< Real >.

template<class Real >

void ROL::StdConstraint< Real >::applyJacobian	(	Vector< Real > &	jv,
		const Vector< Real > &	v,
		const Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

Apply the constraint Jacobian at \(x\), \(c'(x) \in L(\mathcal{X}, \mathcal{C})\), to vector \(v\).

  @param[out]      jv  is the result of applying the constraint Jacobian to @b v at @b x; a constraint-space vector
  @param[in]       v   is an optimization-space vector
  @param[in]       x   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#76, where

\(v \in \mathcal{X}\), \(\mathsf{jv} \in \mathcal{C}\).

The default implementation is a finite-difference approximation.

Reimplemented from ROL::Constraint< Real >.

Definition at line 87 of file ROL_StdConstraint.hpp.

References ROL::Constraint< Real >::applyJacobian(), and ROL::StdVector< Real, Element >::getVector().

template<class Real >

virtual void ROL::StdConstraint< Real >::applyJacobian	(	std::vector< Real > &	jv,
		const std::vector< Real > &	v,
		const std::vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

Reimplemented in ROL::ZOO::Constraint_Cantilever< Real >, ROL::ZOO::Constraint_CantileverBeam< Real >, ROL::ZOO::Constraint_CylinderHead< Real >, ROL::ZOO::Constraint_Cubic< Real >, and ROL::ZOO::Constraint_Quartic< Real >.

Definition at line 100 of file ROL_StdConstraint.hpp.

template<class Real >

void ROL::StdConstraint< Real >::applyAdjointJacobian	(	Vector< Real > &	ajv,
		const Vector< Real > &	v,
		const Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

Apply the adjoint of the the constraint Jacobian at \(x\), \(c'(x)^* \in L(\mathcal{C}^*, \mathcal{X}^*)\), to vector \(v\).

  @param[out]      ajv is the result of applying the adjoint of the constraint Jacobian to @b v at @b x; a dual optimization-space vector
  @param[in]       v   is a dual constraint-space vector
  @param[in]       x   is the constraint argument; an optimization-space vector
  @param[in,out]   tol is a tolerance for inexact evaluations; currently unused

  On return, \form#80, where

\(v \in \mathcal{C}^*\), \(\mathsf{ajv} \in \mathcal{X}^*\).

The default implementation is a finite-difference approximation.

Reimplemented from ROL::Constraint< Real >.

Definition at line 109 of file ROL_StdConstraint.hpp.

References ROL::Constraint< Real >::applyAdjointJacobian(), and ROL::StdVector< Real, Element >::getVector().

template<class Real >

virtual void ROL::StdConstraint< Real >::applyAdjointJacobian	(	std::vector< Real > &	ajv,
		const std::vector< Real > &	v,
		const std::vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

Reimplemented in ROL::ZOO::Constraint_Cantilever< Real >, ROL::ZOO::Constraint_CantileverBeam< Real >, ROL::ZOO::Constraint_CylinderHead< Real >, ROL::ZOO::Constraint_Cubic< Real >, and ROL::ZOO::Constraint_Quartic< Real >.

Definition at line 122 of file ROL_StdConstraint.hpp.

template<class Real >

void ROL::StdConstraint< Real >::applyAdjointHessian	(	Vector< Real > &	ahuv,
		const Vector< Real > &	u,
		const Vector< Real > &	v,
		const Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

Apply the derivative of the adjoint of the constraint Jacobian at \(x\) to vector \(u\) in direction \(v\), according to \( v \mapsto c''(x)(v,\cdot)^*u \).

  @param[out]      ahuv is the result of applying the derivative of the adjoint of the constraint Jacobian at @b x to vector @b u in direction @b v; a dual optimization-space vector
  @param[in]       u    is the direction vector; a dual constraint-space vector
  @param[in]       v    is an optimization-space vector
  @param[in]       x    is the constraint argument; an optimization-space vector
  @param[in,out]   tol  is a tolerance for inexact evaluations; currently unused

  On return, \form#85, where

\(u \in \mathcal{C}^*\), \(v \in \mathcal{X}\), and \(\mathsf{ahuv} \in \mathcal{X}^*\).

The default implementation is a finite-difference approximation based on the adjoint Jacobian.

Reimplemented from ROL::Constraint< Real >.

Definition at line 131 of file ROL_StdConstraint.hpp.

References ROL::Constraint< Real >::applyAdjointHessian(), and ROL::StdVector< Real, Element >::getVector().

template<class Real >

virtual void ROL::StdConstraint< Real >::applyAdjointHessian	(	std::vector< Real > &	ahuv,
		const std::vector< Real > &	u,
		const std::vector< Real > &	v,
		const std::vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

Definition at line 147 of file ROL_StdConstraint.hpp.

template<class Real >

std::vector<Real> ROL::StdConstraint< Real >::solveAugmentedSystem	(	Vector< Real > &	v1,
		Vector< Real > &	v2,
		const Vector< Real > &	b1,
		const Vector< Real > &	b2,
		const Vector< Real > &	x,
		Real &	tol
	)

inlinevirtual

Approximately solves the augmented system

\[ \begin{pmatrix} I & c'(x)^* \\ c'(x) & 0 \end{pmatrix} \begin{pmatrix} v_{1} \\ v_{2} \end{pmatrix} = \begin{pmatrix} b_{1} \\ b_{2} \end{pmatrix} \]

where \(v_{1} \in \mathcal{X}\), \(v_{2} \in \mathcal{C}^*\), \(b_{1} \in \mathcal{X}^*\), \(b_{2} \in \mathcal{C}\), \(I : \mathcal{X} \rightarrow \mathcal{X}^*\) is an identity or Riesz operator, and \(0 : \mathcal{C}^* \rightarrow \mathcal{C}\) is a zero operator.

Parameters

[out]	v1	is the optimization-space component of the result
[out]	v2	is the dual constraint-space component of the result
[in]	b1	is the dual optimization-space component of the right-hand side
[in]	b2	is the constraint-space component of the right-hand side
[in]	x	is the constraint argument; an optimization-space vector
[in,out]	tol	is the nominal relative residual tolerance

On return, \( [\mathsf{v1} \,\, \mathsf{v2}] \) approximately solves the augmented system, where the size of the residual is governed by special stopping conditions.

The default implementation is the preconditioned generalized minimal residual (GMRES) method, which enables the use of nonsymmetric preconditioners.

Reimplemented from ROL::Constraint< Real >.

Definition at line 158 of file ROL_StdConstraint.hpp.

References ROL::StdVector< Real, Element >::getVector(), and ROL::Constraint< Real >::solveAugmentedSystem().

template<class Real >

virtual std::vector<Real> ROL::StdConstraint< Real >::solveAugmentedSystem	(	std::vector< Real > &	v1,
		std::vector< Real > &	v2,
		const std::vector< Real > &	b1,
		const std::vector< Real > &	b2,
		const std::vector< Real > &	x,
		Real	tol
	)

inlinevirtual

Definition at line 175 of file ROL_StdConstraint.hpp.

template<class Real >

void ROL::StdConstraint< Real >::applyPreconditioner	(	Vector< Real > &	pv,
		const Vector< Real > &	v,
		const Vector< Real > &	x,
		const Vector< Real > &	g,
		Real &	tol
	)

inlinevirtual

Apply a constraint preconditioner at \(x\), \(P(x) \in L(\mathcal{C}, \mathcal{C}^*)\), to vector \(v\). Ideally, this preconditioner satisfies the following relationship:

\[ \left[c'(x) \circ R \circ c'(x)^* \circ P(x)\right] v = v \,, \]

where R is the appropriate Riesz map in \(L(\mathcal{X}^*, \mathcal{X})\). It is used by the solveAugmentedSystem method.

  @param[out]      pv  is the result of applying the constraint preconditioner to @b v at @b x; a dual constraint-space vector
  @param[in]       v   is a constraint-space vector
  @param[in]       x   is the preconditioner argument; an optimization-space vector
  @param[in]       g   is the preconditioner argument; a dual optimization-space vector, unused
  @param[in,out]   tol is a tolerance for inexact evaluations

  On return, \form#99, where

\(v \in \mathcal{C}\), \(\mathsf{pv} \in \mathcal{C}^*\).

The default implementation is the Riesz map in \(L(\mathcal{C}, \mathcal{C}^*)\).

Reimplemented from ROL::Constraint< Real >.

Definition at line 185 of file ROL_StdConstraint.hpp.

References ROL::Constraint< Real >::applyPreconditioner(), and ROL::StdVector< Real, Element >::getVector().

template<class Real >

virtual void ROL::StdConstraint< Real >::applyPreconditioner	(	std::vector< Real > &	pv,
		const std::vector< Real > &	v,
		const std::vector< Real > &	x,
		const std::vector< Real > &	g,
		Real &	tol
	)

inlinevirtual

Definition at line 200 of file ROL_StdConstraint.hpp.

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

ROL_StdConstraint.hpp

Public Member Functions

Additional Inherited Members

Detailed Description

template<class Real> class ROL::StdConstraint< Real >

Constructor & Destructor Documentation

Member Function Documentation

template<class Real>
class ROL::StdConstraint< Real >