CppNoddy::Example::Arc_problem Class Reference

Define the residual for arc-length continuation of a circle. More...

Inheritance diagram for CppNoddy::Example::Arc_problem:

Public Member Functions
	Arc_problem ()
void	residual_fn (const DenseVector< double > &z, DenseVector< double > &f) const
	A blank virtual residual function method. More...
	Arc_problem ()
void	residual_fn (const DenseVector< double > &z, DenseVector< double > &f) const
	A blank virtual residual function method. More...
	Arc_problem ()
void	residual_fn (const DenseVector< double > &z, DenseVector< double > &f) const
	A blank virtual residual function method. More...
Public Member Functions inherited from CppNoddy::Residual< double >
	Residual (const unsigned &order)
	Constructor for a 'square' residual object that is, N residuals for N unknowns. More...
	Residual (const unsigned &order, const unsigned &nvars)
	Constructor for a 'non-square' residual object that is, there are less residual constraints than unknowns. More...
virtual	~Residual ()
	An empty destructor, virtual since we have virtual methods. More...
void	update (const DenseVector< double > &state)
	Update the Residual object for the current set of state variables. More...
const DenseVector< double > &	residual () const
	Return a handle to the residuals corresponding to the last update state. More...
const DenseMatrix< double > &	jacobian () const
	Retrun a handle to the Jacobian of the residual corresponding to the last update state. More...
double &	delta ()
const double &	delta () const
unsigned	get_order () const
	Get the order of the residual vector. More...
unsigned	get_number_of_vars () const
	Get the number of variables that this residual condition is defined for. More...
virtual void	residual_fn (const DenseVector< double > &state, DenseVector< double > &f) const
	A blank virtual residual function method. More...

Public Attributes
double	p
double	eps

Additional Inherited Members
Protected Member Functions inherited from CppNoddy::Residual< double >
virtual void	jacobian (const DenseVector< double > &state, DenseMatrix< double > &jac) const
	Because the residual evaluation at the current state is assumed to have already been done by the 'update' method, this routine is protected. More...
Protected Attributes inherited from CppNoddy::Residual< double >
DenseMatrix< double >	JAC_AT_LAST_STATE
	Jacobian for the last state vector. More...
DenseVector< double >	FN_AT_LAST_STATE
	Residual for the last state vector. More...
DenseVector< double >	LAST_STATE
	The last state vector. More...
double	DELTA
	A default step for FD computation of the Jacobian. More...
unsigned	ORDER_OF_SYSTEM
	The order of the system of equations. More...
unsigned	NUMBER_OF_VARS
	The number of elements in the state vector. More...

Detailed Description

Define the residual for arc-length continuation of a circle.

Define the residual for arc-length continuation.

Definition at line 19 of file ArcCircle.cpp.

Constructor & Destructor Documentation

Arc_problem() [1/3]

CppNoddy::Example::Arc_problem::Arc_problem ( )

inline

Definition at line 24 of file ArcCircle.cpp.

: Residual<double>( 1 ) {}

Arc_problem() [2/3]

CppNoddy::Example::Arc_problem::Arc_problem ( )

inline

Definition at line 23 of file ArcCircleVector.cpp.

: Residual<double>( 2 ) {}

Arc_problem() [3/3]

CppNoddy::Example::Arc_problem::Arc_problem ( )

inline

Definition at line 27 of file ArcTranscritFold.cpp.

: Residual<double>( 1 ) {}

Member Function Documentation

residual_fn() [1/3]

void CppNoddy::Example::Arc_problem::residual_fn ( const DenseVector< double > &  state, DenseVector< double > &  f  ) const

inlinevirtual

A blank virtual residual function method.

Parameters

state	The unknown variable.
f	The residual function f(x).

Reimplemented from CppNoddy::Residual< double >.

Definition at line 26 of file ArcCircle.cpp.

      {
        f[ 0 ] = z[ 0 ] * z[ 0 ] + p * p - 2.0;
      }

References f, p, and CppNoddy::Example::z().

residual_fn() [2/3]

void CppNoddy::Example::Arc_problem::residual_fn ( const DenseVector< double > &  state, DenseVector< double > &  f  ) const

inlinevirtual

A blank virtual residual function method.

Parameters

state	The unknown variable.
f	The residual function f(x).

Reimplemented from CppNoddy::Residual< double >.

Definition at line 25 of file ArcCircleVector.cpp.

      {
        f[ 0 ] = 1.0 - std::pow( z[ 0 ], 2 ) - std::pow( p, 2 );
        f[ 1 ] = z[ 1 ] - std::sin( z[ 0 ] );
      }

References f, p, and CppNoddy::Example::z().

residual_fn() [3/3]

void CppNoddy::Example::Arc_problem::residual_fn ( const DenseVector< double > &  state, DenseVector< double > &  f  ) const

inlinevirtual

A blank virtual residual function method.

Parameters

state	The unknown variable.
f	The residual function f(x).

Reimplemented from CppNoddy::Residual< double >.

Definition at line 29 of file ArcTranscritFold.cpp.

      {
        f[0] = ( z[0] - 3 ) * ( ( z[0] - 2 ) * ( z[0] - 2 )
                                + ( p - 4 ) ) + eps;
      }

References eps, f, p, and CppNoddy::Example::z().

Member Data Documentation

eps

double CppNoddy::Example::Arc_problem::eps

Definition at line 25 of file ArcTranscritFold.cpp.

Referenced by main(), and residual_fn().

p

double CppNoddy::Example::Arc_problem::p

Definition at line 22 of file ArcCircle.cpp.

Referenced by main(), and residual_fn().

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

• Tests/Arclength/ArcCircle.cpp
• Tests/Arclength/ArcCircleVector.cpp
• Tests/Arclength/ArcTranscritFold.cpp