num_prob_collect::ode::changing_mass_quadratic_problem Class Reference

Class of a test problem. More...

#include <num_prob_collect/ode/changing_mass_quadratic_problem.h>

Collaboration diagram for num_prob_collect::ode::changing_mass_quadratic_problem:

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

Public Member Functions
	changing_mass_quadratic_problem ()
	Constructor.
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.
auto	mass () const noexcept -> const mass_type &
	Get the mass.

Static Public Attributes
static constexpr auto	allowed_evaluations
	Allowed evaluations.

Private Attributes
variable_type	diff_coeff_ {}
	Differential coefficient.
jacobian_type	jacobian_ {jacobian_type::Zero()}
	Jacobian.
mass_type	mass_ {mass_type::Zero()}
	Mass.

Detailed Description

Class of a test problem.

This solves the following equation of motion:

\[ e^{x} \ddot{x} = e^{x} \]

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

\[ \begin{pmatrix} e^{x} & 0 \\ 0 & 1 \end{pmatrix} \frac{d}{dt} \begin{pmatrix} \dot{x} \\ x \end{pmatrix} = \begin{pmatrix} e^{x} \\ \dot{x} \end{pmatrix} \]

When the initial variable is (0, 0), the solution is the following:

\[ \begin{pmatrix} \dot{x} \\ x \end{pmatrix} = \begin{pmatrix} t \\ \frac{1}{2} t^2 \end{pmatrix} \]

Definition at line 55 of file changing_mass_quadratic_problem.h.

Member Typedef Documentation

jacobian_type

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

Type of Jacobian.

Definition at line 64 of file changing_mass_quadratic_problem.h.

mass_type

using num_prob_collect::ode::changing_mass_quadratic_problem::mass_type = Eigen::Matrix2d

Type of mass.

Definition at line 67 of file changing_mass_quadratic_problem.h.

scalar_type

using num_prob_collect::ode::changing_mass_quadratic_problem::scalar_type = double

Type of scalars.

Definition at line 61 of file changing_mass_quadratic_problem.h.

variable_type

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

Type of variables.

Definition at line 58 of file changing_mass_quadratic_problem.h.

Constructor & Destructor Documentation

changing_mass_quadratic_problem()

num_prob_collect::ode::changing_mass_quadratic_problem::changing_mass_quadratic_problem ( )

inline

Constructor.

Definition at line 77 of file changing_mass_quadratic_problem.h.

Member Function Documentation

diff_coeff()

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

inlinenodiscardnoexcept

Get the differential coefficient.

Returns

Differential coefficient.

Definition at line 104 of file changing_mass_quadratic_problem.h.

evaluate_on()

void num_prob_collect::ode::changing_mass_quadratic_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 88 of file changing_mass_quadratic_problem.h.

jacobian()

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

inlinenodiscardnoexcept

Get the Jacobian.

Returns

Jacobian.

Definition at line 113 of file changing_mass_quadratic_problem.h.

mass()

auto num_prob_collect::ode::changing_mass_quadratic_problem::mass ( ) const -> const mass_type&

inlinenodiscardnoexcept

Get the mass.

Returns

Mass.

Definition at line 122 of file changing_mass_quadratic_problem.h.

Member Data Documentation

allowed_evaluations

auto num_prob_collect::ode::changing_mass_quadratic_problem::allowed_evaluations

staticconstexpr

Initial value:

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

Allowed evaluations.

Definition at line 70 of file changing_mass_quadratic_problem.h.

diff_coeff_

variable_type num_prob_collect::ode::changing_mass_quadratic_problem::diff_coeff_ {}

private

Differential coefficient.

Definition at line 128 of file changing_mass_quadratic_problem.h.

jacobian_

jacobian_type num_prob_collect::ode::changing_mass_quadratic_problem::jacobian_ {jacobian_type::Zero()}

private

Jacobian.

Definition at line 131 of file changing_mass_quadratic_problem.h.

mass_

mass_type num_prob_collect::ode::changing_mass_quadratic_problem::mass_ {mass_type::Zero()}

private

Mass.

Definition at line 134 of file changing_mass_quadratic_problem.h.

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

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