num_prob_collect::ode::pendulum_movement_problem Class Reference

Class of test problem to pendulum movement. More...

#include <num_prob_collect/ode/pendulum_movement_problem.h>

Collaboration diagram for num_prob_collect::ode::pendulum_movement_problem:

Public Types
using	jacobian_type = Eigen::Matrix2d
	Type of Jacobian.
using	scalar_type = double
	Type of scalars.
using	variable_type = Eigen::Vector2d
	Type of variables.

Public Member Functions
auto	diff_coeff () const noexcept -> const variable_type &
	Get the differential coefficient.
void	evaluate_on (scalar_type, const variable_type &variable, num_collect::ode::evaluation_type evaluations)
	Evaluate on a (time, variable) pair.
auto	jacobian () const noexcept -> const jacobian_type &
	Get the Jacobian.

Static Public Attributes
static constexpr auto	allowed_evaluations
	Allowed evaluations.

Private Attributes
variable_type	diff_coeff_ {}
	Differential coefficient.
jacobian_type	jacobian_ {}
	Jacobian.

Detailed Description

Class of test problem to pendulum movement.

This solves the following equation of motion of a pendulum:

\[ \ddot{x} = -\sin{x} \]

In this class, the following equation is used to solve the above equation:

\[ \frac{d}{dt} \begin{pmatrix} \dot{x} \\ x \end{pmatrix} = \begin{pmatrix} -\sin{x} \\ \dot{x} \end{pmatrix} \]

Definition at line 44 of file pendulum_movement_problem.h.

Member Typedef Documentation

jacobian_type

using num_prob_collect::ode::pendulum_movement_problem::jacobian_type = Eigen::Matrix2d

Type of Jacobian.

Definition at line 53 of file pendulum_movement_problem.h.

scalar_type

using num_prob_collect::ode::pendulum_movement_problem::scalar_type = double

Type of scalars.

Definition at line 50 of file pendulum_movement_problem.h.

variable_type

using num_prob_collect::ode::pendulum_movement_problem::variable_type = Eigen::Vector2d

Type of variables.

Definition at line 47 of file pendulum_movement_problem.h.

Member Function Documentation

diff_coeff()

auto num_prob_collect::ode::pendulum_movement_problem::diff_coeff ( ) const -> const variable_type&

inlinenodiscardnoexcept

Get the differential coefficient.

Returns

Differential coefficient.

Definition at line 82 of file pendulum_movement_problem.h.

evaluate_on()

void num_prob_collect::ode::pendulum_movement_problem::evaluate_on ( scalar_type , const variable_type & variable, num_collect::ode::evaluation_type evaluations )

inline

Evaluate on a (time, variable) pair.

Parameters

[in]	variable	Variable.
[in]	evaluations	Evaluations.

Definition at line 65 of file pendulum_movement_problem.h.

jacobian()

auto num_prob_collect::ode::pendulum_movement_problem::jacobian ( ) const -> const jacobian_type&

inlinenodiscardnoexcept

Get the Jacobian.

Returns

Jacobian.

Definition at line 91 of file pendulum_movement_problem.h.

Member Data Documentation

allowed_evaluations

auto num_prob_collect::ode::pendulum_movement_problem::allowed_evaluations

staticconstexpr

Initial value:

=
        num_collect::ode::evaluation_type{.diff_coeff = true, .jacobian = true}

Allowed evaluations.

Definition at line 56 of file pendulum_movement_problem.h.

diff_coeff_

variable_type num_prob_collect::ode::pendulum_movement_problem::diff_coeff_ {}

private

Differential coefficient.

Definition at line 97 of file pendulum_movement_problem.h.

jacobian_

jacobian_type num_prob_collect::ode::pendulum_movement_problem::jacobian_ {}

private

Jacobian.

Definition at line 100 of file pendulum_movement_problem.h.

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

• problems/include/num_prob_collect/ode/pendulum_movement_problem.h