#include <ROL_CantileverBeam.hpp>

Inheritance diagram for ROL::ZOO::Constraint_CantileverBeam< Real >:

Public Member Functions
	Constraint_CantileverBeam (const int nseg=5)

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

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

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

Public Member Functions inherited from ROL::StdConstraint< Real >
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...

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...

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...

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)

Private Attributes
int	nseg_

Real	len_

Real	P_

Real	E_

Real	Sigma_max_

Real	tip_max_

std::vector< Real >	l_

std::vector< Real >	suml_

std::vector< Real >	M_

std::vector< Real >	dyp_

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::ZOO::Constraint_CantileverBeam< Real >

Definition at line 101 of file ROL_CantileverBeam.hpp.

Constructor & Destructor Documentation

template<class Real >

ROL::ZOO::Constraint_CantileverBeam< Real >::Constraint_CantileverBeam ( const int nseg = 5 )

inline

Definition at line 108 of file ROL_CantileverBeam.hpp.

References ROL::ZOO::Constraint_CantileverBeam< Real >::dyp_, ROL::ZOO::Constraint_CantileverBeam< Real >::l_, ROL::ZOO::Constraint_CantileverBeam< Real >::len_, ROL::ZOO::Constraint_CantileverBeam< Real >::M_, ROL::ZOO::Constraint_CantileverBeam< Real >::nseg_, ROL::ZOO::Constraint_CantileverBeam< Real >::P_, and ROL::ZOO::Constraint_CantileverBeam< Real >::suml_.

Member Function Documentation

template<class Real >

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

inlinevirtual

Implements ROL::StdConstraint< Real >.

Definition at line 123 of file ROL_CantileverBeam.hpp.

References ROL::ZOO::Constraint_CantileverBeam< Real >::E_, ROL::ZOO::Constraint_CantileverBeam< Real >::l_, ROL::ZOO::Constraint_CantileverBeam< Real >::len_, ROL::ZOO::Constraint_CantileverBeam< Real >::M_, ROL::ZOO::Constraint_CantileverBeam< Real >::nseg_, ROL::ZOO::Constraint_CantileverBeam< Real >::P_, ROL::ZOO::Constraint_CantileverBeam< Real >::Sigma_max_, ROL::ZOO::Constraint_CantileverBeam< Real >::suml_, and ROL::ZOO::Constraint_CantileverBeam< Real >::tip_max_.

template<class Real >

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

inlinevirtual

Reimplemented from ROL::StdConstraint< Real >.

Definition at line 148 of file ROL_CantileverBeam.hpp.

template<class Real >

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