Class container for the numerical solution of a system of ODEs/DAEs. More...

#include <Solution.hxx>

Public Types
using	Vector = Eigen::Vector<Real, Eigen::Dynamic>

using	MatrixN = Eigen::Matrix<Real, N, Eigen::Dynamic>

using	MatrixM = Eigen::Matrix<Real, M, Eigen::Dynamic>

Public Member Functions
	Solution ()

	Solution (Integer size)

void	resize (Integer size)

void	conservative_resize (Integer size)

void	clear ()

bool	is_empty () const

Integer	size () const

std::vector< Real >	std_t () const

Vector	eig_t () const

std::vector< Real >	std_x (Integer i) const

std::map< Integer, std::vector< Real > >	std_x () const

std::map< Integer, Vector >	eig_x () const

std::map< std::string, std::vector< Real > >	std_x (std::vector< std::string > names) const

std::map< std::string, Vector >	eig_x (std::vector< std::string > names) const

std::vector< Real >	std_h (Integer i) const

std::map< Integer, std::vector< Real > >	std_h () const

std::map< Integer, Vector >	eig_h () const

std::map< std::string, std::vector< Real > >	std_h (std::vector< std::string > names) const

std::map< std::string, Vector >	eig_h (std::vector< std::string > names) const

Public Attributes
Vector	t

MatrixN	x

MatrixM	h

Detailed Description

template<Integer N, Integer M = 0>
struct Sandals::Solution< N, M >

Class container for the numerical solution of a system of Ordinary Differential Equations (ODEs) or Differential Algebraic Equations (DAEs). The solution is stored in a independent variable (or time) vector, states matrix and invariant matrix, where each row of matrix represents the value of a state/invariant at a given mesh node, i.e.,

\[\begin{array}{l} \mathbf{t} &=& \left[ t_1, t_2, \ldots, t_k \right]^\top \text{,} \\ \mathbf{X} &=& \begin{bmatrix} \mathbf{x}_1 \\ \mathbf{x}_2 \\ \vdots \\ \mathbf{x}_k \end{bmatrix} = \begin{bmatrix} x_{11} & x_{12} & \cdots & x_{1k} \\ x_{21} & x_{22} & \cdots & x_{2k} \\ \vdots & \vdots & \ddots & \vdots \\ x_{n1} & x_{n2} & \cdots & x_{nk} \end{bmatrix} \text{,} \\ \mathbf{H} &=& \begin{bmatrix} \mathbf{h}_1 \\ \mathbf{h}_2 \\ \vdots \\ \mathbf{h}_k \end{bmatrix} = \begin{bmatrix} h_{11} & h_{12} & \cdots & h_{1k} \\ h_{21} & h_{22} & \cdots & h_{2k} \\ \vdots & \vdots & \ddots & \vdots \\ h_{m1} & h_{m2} & \cdots & h_{mk} \end{bmatrix} \text{.} \end{array} \]

Such a solution can be retrieved as standard library vectors or Eigen library vectors.

Template Parameters

N	The dimension of the ODE/DAE system.
M	The dimension of the invariants manifold.

Member Typedef Documentation

◆ MatrixM

template<Integer N, Integer M = 0>

using Sandals::Solution< N, M >::MatrixM = Eigen::Matrix<Real, M, Eigen::Dynamic>

Templetized matrix type.

◆ MatrixN

template<Integer N, Integer M = 0>

using Sandals::Solution< N, M >::MatrixN = Eigen::Matrix<Real, N, Eigen::Dynamic>

Templetized matrix type.

◆ Vector

template<Integer N, Integer M = 0>

using Sandals::Solution< N, M >::Vector = Eigen::Vector<Real, Eigen::Dynamic>

Templetized vector type.

Constructor & Destructor Documentation

◆ Solution() [1/2]

template<Integer N, Integer M = 0>

Sandals::Solution< N, M >::Solution ( )

inline

Class constructor for the Solution class.

◆ Solution() [2/2]

template<Integer N, Integer M = 0>

Sandals::Solution< N, M >::Solution ( Integer size )

inline

Class constructor for the Solution class given the independent variable (or time) and states sizes.

Parameters

[in] size The size of the independent variable (or time) vector and states matrix.

Member Function Documentation

◆ clear()

template<Integer N, Integer M = 0>

void Sandals::Solution< N, M >::clear ( )

inline

Clear the independent variable (or time) vector and states matrix.

◆ conservative_resize()

template<Integer N, Integer M = 0>

void Sandals::Solution< N, M >::conservative_resize ( Integer size )

inline

Resize conserving the data of the independent variable (or time) vector and states matrix.

Parameters

[in] size The size of the independent variable (or time) vector and states matrix.

◆ eig_h() [1/2]

template<Integer N, Integer M = 0>

std::map< Integer, Vector > Sandals::Solution< N, M >::eig_h ( ) const

inline

Get a map of the invariants vectors \( \mathbf{H} \) as Eigen library vectors.

Returns: A map of the invariants vectors as Eigen library vectors.

◆ eig_h() [2/2]

template<Integer N, Integer M = 0>

std::map< std::string, Vector > Sandals::Solution< N, M >::eig_h ( std::vector< std::string > names ) const

inline

Get a map of the invariants vectors \( \mathbf{H} \) as Eigen library vectors.

Parameters

[in] names The names of the invariants vectors.

Returns: A map of the invariants vectors as Eigen library vectors.

◆ eig_t()

template<Integer N, Integer M = 0>

Vector Sandals::Solution< N, M >::eig_t ( ) const

inline

Get the independent variable (or time) vector \( \mathbf{t} \) as Eigen library vector.

Returns: The independent variable (or time) vector \( \mathbf{t} \) as Eigen library vector.

◆ eig_x() [1/2]

template<Integer N, Integer M = 0>

std::map< Integer, Vector > Sandals::Solution< N, M >::eig_x ( ) const

inline

Get a map of the states vectors \( \mathbf{X} \) as Eigen library vectors.

Returns: A map of the states vectors as Eigen library vectors.

◆ eig_x() [2/2]

template<Integer N, Integer M = 0>

std::map< std::string, Vector > Sandals::Solution< N, M >::eig_x ( std::vector< std::string > names ) const

inline

Get a map of the states vectors \( \mathbf{X} \) as Eigen library vectors.

Parameters

[in] names The names of the states vectors.

Returns: A map of the states vectors as Eigen library vectors.

◆ is_empty()

template<Integer N, Integer M = 0>

bool Sandals::Solution< N, M >::is_empty ( ) const

inline

Check if the independent variable (or time) vector and states matrix are empty.

Returns: True if the independent variable (or time) vector and states matrix are empty, false otherwise.

◆ resize()

template<Integer N, Integer M = 0>

void Sandals::Solution< N, M >::resize ( Integer size )

inline

Resize the independent variable (or time) vector and states matrix.

Parameters

[in] size The size of the independent variable (or time) vector and states matrix.

◆ size()

template<Integer N, Integer M = 0>

Integer Sandals::Solution< N, M >::size ( ) const

inline

Get the size of the independent variable (or time) vector and states matrix.

Returns: The size of the independent variable (or time) vector and states matrix.

◆ std_h() [1/3]

template<Integer N, Integer M = 0>

std::map< Integer, std::vector< Real > > Sandals::Solution< N, M >::std_h ( ) const

inline

Get a map of the invariants vectors \( \mathbf{H} \) as standard library vectors.

Returns: A map of the invariants vectors as standard library vectors.

◆ std_h() [2/3]

template<Integer N, Integer M = 0>

std::vector< Real > Sandals::Solution< N, M >::std_h ( Integer i ) const

inline

Get the \( i \)-th invariants vector \( \mathbf{h}_i \) as a standard library vector.

Parameters

[in] i The index of the invariant vector.

Returns: The \( i \)-th invariants vector as a standard library vector.

◆ std_h() [3/3]

template<Integer N, Integer M = 0>

std::map< std::string, std::vector< Real > > Sandals::Solution< N, M >::std_h ( std::vector< std::string > names ) const

inline

Get a map of the invariants vectors \( \mathbf{H} \) as standard vectors.

Parameters

[in] names The names of the invariants vectors.

Returns: A map of the invariants vectors as standard vectors.

◆ std_t()

template<Integer N, Integer M = 0>

std::vector< Real > Sandals::Solution< N, M >::std_t ( ) const

inline

Get the independent variable (or time) vector \( \mathbf{t} \) as a standard library vector.

Returns: The independent variable (or time) vector \( \mathbf{t} \) as a standard library vector.

◆ std_x() [1/3]

template<Integer N, Integer M = 0>

std::map< Integer, std::vector< Real > > Sandals::Solution< N, M >::std_x ( ) const

inline

Get a map of the states vectors \( \mathbf{X} \) as standard library vectors.

Returns: A map of the states vectors as standard library vectors.

◆ std_x() [2/3]

template<Integer N, Integer M = 0>

std::vector< Real > Sandals::Solution< N, M >::std_x ( Integer i ) const

inline

Get the \( i \)-th state vector \( \mathbf{x}_i \) as a standard library vector.

Parameters

[in] i The index of the state vector.

Returns: The \( i \)-th state vector as a standard library vector.

◆ std_x() [3/3]

template<Integer N, Integer M = 0>

std::map< std::string, std::vector< Real > > Sandals::Solution< N, M >::std_x ( std::vector< std::string > names ) const

inline

Get a map of the states vectors \( \mathbf{X} \) as standard vectors.

Parameters

[in] names The names of the states vectors.

Returns: A map of the states vectors as standard vectors.

Member Data Documentation

◆ h

template<Integer N, Integer M = 0>

MatrixM Sandals::Solution< N, M >::h

Invariants solution matrix \( \mathbf{H} \).

◆ t

template<Integer N, Integer M = 0>

Vector Sandals::Solution< N, M >::t

Independent variable (or time) solution vector \( \mathbf{t} \).

◆ x

template<Integer N, Integer M = 0>

MatrixN Sandals::Solution< N, M >::x

States solution matrix \( \mathbf{X} \).

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

include/Sandals/Solution.hxx

Public Types

Public Member Functions

Public Attributes

Detailed Description

Member Typedef Documentation

◆ MatrixM

◆ MatrixN

◆ Vector

Constructor & Destructor Documentation

◆ Solution() [1/2]

◆ Solution() [2/2]

Member Function Documentation

◆ clear()

◆ conservative_resize()

◆ eig_h() [1/2]

◆ eig_h() [2/2]

◆ eig_t()

◆ eig_x() [1/2]

◆ eig_x() [2/2]

◆ is_empty()

◆ resize()

◆ size()

◆ std_h() [1/3]

◆ std_h() [2/3]

◆ std_h() [3/3]

◆ std_t()

◆ std_x() [1/3]

◆ std_x() [2/3]

◆ std_x() [3/3]

Member Data Documentation

◆ h

◆ t

◆ x