Optimist::TestSet::Rosenbrock< Vector, N > Class Template Reference

Class container for the extended Rosenbrock function. More...

#include <Rosenbrock.hh>

Inherits Optimist::Function< Vector, Vector, Rosenbrock< Vector, N > >.

Public Types
using	VectorTrait = TypeTrait<Vector>
using	Scalar = typename Vector::Scalar
Public Types inherited from Optimist::FunctionBase< Vector, Vector, Rosenbrock< Vector, N > >
using	InputTrait
using	OutputTrait
using	Scalar
using	FirstDerivative
using	SecondDerivative

Public Member Functions
	Rosenbrock ()
constexpr std::string	name_impl () const
bool	evaluate_impl (const Vector &x, Vector &out) const
bool	first_derivative_impl (const Vector &x, FirstDerivative &out) const
bool	second_derivative_impl (const Vector &, SecondDerivative &out) const
Public Member Functions inherited from Optimist::Function< Vector, Vector, Rosenbrock< Vector, N > >
	Function ()
constexpr std::string	name () const
bool	evaluate (const Vector &x, Vector &out) const
bool	jacobian (const Vector &x, FirstDerivative &out) const
bool	hessian (const Vector &x, SecondDerivative &out) const
Public Member Functions inherited from Optimist::FunctionBase< Vector, Vector, Rosenbrock< Vector, N > >
	FunctionBase ()
constexpr std::string	name () const
bool	evaluate (const Vector &x, Vector &out) const
bool	first_derivative (const Vector &x, FirstDerivative &out) const
bool	second_derivative (const Vector &x, SecondDerivative &out) const
constexpr Integer	input_dimension () const
constexpr Integer	output_dimension () const
const std::vector< Vector > &	solutions () const
const std::vector< Vector > &	guesses () const
const Vector &	solution (const Integer i) const
const Vector &	guess (const Integer i) const
bool	is_solution (const Vector &x, const Scalar tol=FunctionBase::SQRT_EPSILON) const

Additional Inherited Members
Protected Attributes inherited from Optimist::FunctionBase< Vector, Vector, Rosenbrock< Vector, N > >
std::vector< Vector >	m_solutions
std::vector< Vector >	m_guesses

Detailed Description

template<typename Vector, Integer N>
requires (N % 2 == 0) && TypeTrait<Vector>::IsEigen && (!TypeTrait<Vector>::IsFixed || TypeTrait<Vector>::Dimension == N)
class Optimist::TestSet::Rosenbrock< Vector, N >

Class container for the extended Rosenbrock function, which defined as:

\[\mathbf{f}(\mathbf{x}) = \begin{bmatrix} 10(x_2 - x_1^2) \\ 1 - x_1 \\ 10(x_4 - x_3^2) \\ 1 - x_3 \\ \vdots \\ 10(x_N - x_{N-1}^2) \\ 1 - x_{N-1} \end{bmatrix} \text{.} \]

The function has one solution at \(\mathbf{x} = [1, \dots 1]^\top\), with \(f(\mathbf{x}) = 0\). The initial guess is \(x_i = [-1.2, 1, -1.2, 1, \dots, -1.2, 1]^\top\).

Template Parameters

Vector	Eigen vector type.
N	Input dimension (must be even).

Member Typedef Documentation

Scalar

template<typename Vector, Integer N>

using Optimist::TestSet::Rosenbrock< Vector, N >::Scalar = typename Vector::Scalar

VectorTrait

template<typename Vector, Integer N>

using Optimist::TestSet::Rosenbrock< Vector, N >::VectorTrait = TypeTrait<Vector>

Constructor & Destructor Documentation

Rosenbrock()

template<typename Vector, Integer N>

Optimist::TestSet::Rosenbrock< Vector, N >::Rosenbrock ( )

inline

Class constructor for the extended Rosenbrock function.

Member Function Documentation

evaluate_impl()

template<typename Vector, Integer N>

bool Optimist::TestSet::Rosenbrock< Vector, N >::evaluate_impl ( const Vector & x, Vector & out ) const

inline

Compute the function value at the input point.

Parameters

[in]	x	Input point.
[out]	out	The function value.

Returns

The boolean flag for successful evaluation.

first_derivative_impl()

template<typename Vector, Integer N>

bool Optimist::TestSet::Rosenbrock< Vector, N >::first_derivative_impl ( const Vector & x, FirstDerivative & out ) const

inline

Compute the first derivative value at the input point.

Parameters

[in]	x	Input point.
[out]	out	The first derivative value.

Returns

The boolean flag for successful evaluation.

name_impl()

template<typename Vector, Integer N>

std::string Optimist::TestSet::Rosenbrock< Vector, N >::name_impl ( ) const

inlineconstexpr

Get the function name.

Returns

The function name.

second_derivative_impl()

template<typename Vector, Integer N>

bool Optimist::TestSet::Rosenbrock< Vector, N >::second_derivative_impl ( const Vector & , SecondDerivative & out ) const

inline

Compute the second derivative value at the input point.

Parameters

[in]	x	Input point.
[out]	out	The second derivative value.

Returns

The boolean flag for successful evaluation.

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

• core/include/Optimist/TestSet/Rosenbrock.hh