Class container for the system of semi-explicit ODEs/DAEs wrapper. More...

#include <SemiExplicit.hh>

Inherits Sandals::SemiExplicit< Real, N, 0 >.

Public Types
using	Pointer = std::shared_ptr<SemiExplicitWrapper<Real, N, M>>
using	FunctionA = std::function<MatrixA(VectorF const &, Real const)>
using	FunctionTA = std::function<TensorTA(VectorF const &, Real const)>
using	FunctionB = std::function<VectorB(VectorF const &, Real const)>
using	FunctionJB = std::function<MatrixJB(VectorF const &, Real const)>
using	FunctionH = std::function<VectorH(VectorF const &, Real const)>
using	FunctionJH = std::function<MatrixJH(VectorF const &, Real const)>
using	FunctionID = std::function<bool(VectorF const &, Real const)>
Public Types inherited from Sandals::SemiExplicit< Real, N, 0 >
using	Pointer
using	VectorF
using	MatrixJF
using	MatrixA
using	TensorTA
using	VectorB
using	MatrixJB
using	Type
Public Types inherited from Sandals::Explicit< Real, N, M >
using	Pointer
using	VectorF
using	MatrixJF
using	Type
Public Types inherited from Sandals::Implicit< Real, N, M >
using	Type
using	Pointer
using	VectorF
using	MatrixJF
using	VectorH
using	MatrixJH

Public Member Functions
	SemiExplicitWrapper (FunctionA t_A, FunctionTA t_TA_x, FunctionB t_b, FunctionJB t_Jb_x, FunctionH t_h=DefaultH, FunctionJH t_Jh_x=DefaultJH, FunctionID t_in_domain=DefaultID)
	SemiExplicitWrapper (std::string t_name, FunctionA t_A, FunctionTA t_TA_x, FunctionB t_b, FunctionJB t_Jb_x, FunctionH t_h=DefaultH, FunctionJH t_Jh_x=DefaultJH, FunctionID t_in_domain=DefaultID)
	~SemiExplicitWrapper ()
FunctionA &	A ()
FunctionTA &	TA_x ()
FunctionB &	b ()
FunctionJB &	Jb_x ()
FunctionH &	h ()
FunctionJH &	Jh_x ()
FunctionID &	in_domain ()
MatrixA	A (VectorF const &x, Real const t) const override
TensorTA	TA_x (VectorF const &x, Real const t) const override
VectorB	b (VectorF const &x, Real const t) const override
MatrixJB	Jb_x (VectorF const &x, Real const t) const override
VectorH	h (VectorF const &x, Real const t) const override
MatrixJH	Jh_x (VectorF const &x, Real const t) const override
bool	in_domain (VectorF const &x, Real const t) const override
Public Member Functions inherited from Sandals::SemiExplicit< Real, N, 0 >
	SemiExplicit ()
VectorF	F (VectorF const &x, VectorF const &x_dot, Real const t) const override
MatrixJF	JF_x (VectorF const &x, VectorF const &x_dot, Real const t) const override
MatrixJF	JF_x_dot (VectorF const &x, VectorF const &, Real const t) const override
VectorF	f (VectorF const &x, Real const t) const override
MatrixJF	Jf_x (VectorF const &x, VectorF const &x_dot, Real const t) const
Public Member Functions inherited from Sandals::Explicit< Real, N, M >
virtual MatrixJF	Jf_x (VectorF const &x, Real const t) const=0
VectorF	f_reverse (VectorF const &x, Real const t) const
MatrixJF	Jf_x_reverse (VectorF const &x, Real const t) const
VectorF	F_reverse (VectorF const &x, VectorF const &x_dot, Real const t) const
MatrixJF	JF_x_reverse (VectorF const &x, VectorF const &, Real const t) const
MatrixJF	JF_x_dot_reverse (VectorF const &, VectorF const &, Real) const
Public Member Functions inherited from Sandals::Implicit< Real, N, M >
virtual	~Implicit ()
Type	type () const
bool	is_implicit () const
bool	is_explicit () const
bool	is_semiexplicit () const
std::string &	name ()
Integer	equations_number () const
Integer	invariants_number () const
VectorF	F_reverse (VectorF const &x, VectorF const &x_dot, Real const t) const
MatrixJF	JF_x_reverse (VectorF const &x, VectorF const &x_dot, Real const t) const
MatrixJF	JF_x_dot_reverse (VectorF const &x, VectorF const &x_dot, Real const t) const

Static Public Attributes
static const FunctionH	DefaultH = [](VectorF const &, Real const) {return VectorH::Zero();}
static const FunctionJH	DefaultJH = [](VectorF const &, Real const) {return MatrixJH::Zero();}
static const FunctionID	DefaultID = [](VectorF const &, Real const) {return true;}

Private Attributes
FunctionA	m_A {nullptr}
FunctionTA	m_TA_x {nullptr}
FunctionB	m_b {nullptr}
FunctionJB	m_Jb_x {nullptr}
FunctionH	m_h {nullptr}
FunctionJH	m_Jh_x {nullptr}
FunctionID	m_in_domain {nullptr}

Additional Inherited Members
Protected Member Functions inherited from Sandals::Explicit< Real, N, M >
	Explicit (Type t_type, std::string t_name)
Protected Member Functions inherited from Sandals::Implicit< Real, N, M >
	Implicit (Type t_type, std::string t_name)

Detailed Description

template<typename Real, Integer N, Integer M = 0>
class Sandals::SemiExplicitWrapper< Real, N, M >

Class container for the system of semi-explicit ordinary differential equations (ODEs) or differential algebraic equations (DAEs)of the type \( \mathbf{A}(\mathbf{x}, t) \mathbf{x}^{\prime} = \mathbf{b}(\mathbf{x}, t) \), with invariants manifold \( \mathbf{h}( \mathbf{x}, t) = \mathbf{0} \).

Template Parameters

Real	const The scalar number type.
N	The dimension of the semi-explicit ODE system.
M	The dimension of the invariants manifold.

Member Typedef Documentation

◆ FunctionA

template<typename Real, Integer N, Integer M = 0>

using Sandals::SemiExplicitWrapper< Real, N, M >::FunctionA = std::function<MatrixA(VectorF const &, Real const)>

< Templetized invariants Jacobian type. Function type for the mass matrix.

◆ FunctionB

template<typename Real, Integer N, Integer M = 0>

using Sandals::SemiExplicitWrapper< Real, N, M >::FunctionB = std::function<VectorB(VectorF const &, Real const)>

Function type for the right-hand-side.

◆ FunctionH

template<typename Real, Integer N, Integer M = 0>

using Sandals::SemiExplicitWrapper< Real, N, M >::FunctionH = std::function<VectorH(VectorF const &, Real const)>

Invariants function type.

◆ FunctionID

template<typename Real, Integer N, Integer M = 0>

using Sandals::SemiExplicitWrapper< Real, N, M >::FunctionID = std::function<bool(VectorF const &, Real const)>

In-domain function type.

◆ FunctionJB

template<typename Real, Integer N, Integer M = 0>

using Sandals::SemiExplicitWrapper< Real, N, M >::FunctionJB = std::function<MatrixJB(VectorF const &, Real const)>

Function type for the right-hand-side Jacobian.

◆ FunctionJH

template<typename Real, Integer N, Integer M = 0>

using Sandals::SemiExplicitWrapper< Real, N, M >::FunctionJH = std::function<MatrixJH(VectorF const &, Real const)>

Jacobian of the invariants function type.

◆ FunctionTA

template<typename Real, Integer N, Integer M = 0>

using Sandals::SemiExplicitWrapper< Real, N, M >::FunctionTA = std::function<TensorTA(VectorF const &, Real const)>

Function type for the mass matrix.

◆ Pointer

template<typename Real, Integer N, Integer M = 0>

using Sandals::SemiExplicitWrapper< Real, N, M >::Pointer = std::shared_ptr<SemiExplicitWrapper<Real, N, M>>

Shared pointer to a semi-explicit ODE/DAE system.

Constructor & Destructor Documentation

◆ SemiExplicitWrapper() [1/2]

template<typename Real, Integer N, Integer M = 0>

Sandals::SemiExplicitWrapper< Real, N, M >::SemiExplicitWrapper	(	FunctionA	t_A,
		FunctionTA	t_TA_x,
		FunctionB	t_b,
		FunctionJB	t_Jb_x,
		FunctionH	t_h = DefaultH,
		FunctionJH	t_Jh_x = DefaultJH,
		FunctionID	t_in_domain = DefaultID )

inline

Class constructor for the semi-explicit ODE/DAE system wrapper.

Parameters

[in]	t_A	The function for the mass matrix.
[in]	t_TA_x	The function for the mass matrix.
[in]	t_b	The function for the right-hand-side.
[in]	t_Jb_x	The function for the right-hand-side Jacobian.
[in]	t_h	The invariants function.
[in]	t_Jh_x	The Jacobian of the invariants function.
[in]	t_in_domain	The in-domain function.

◆ SemiExplicitWrapper() [2/2]

template<typename Real, Integer N, Integer M = 0>

Sandals::SemiExplicitWrapper< Real, N, M >::SemiExplicitWrapper	(	std::string	t_name,
		FunctionA	t_A,
		FunctionTA	t_TA_x,
		FunctionB	t_b,
		FunctionJB	t_Jb_x,
		FunctionH	t_h = DefaultH,
		FunctionJH	t_Jh_x = DefaultJH,
		FunctionID	t_in_domain = DefaultID )

inline

Class constructor for the semi-explicit ODE/DAE system wrapper.

Parameters

[in]	t_name	The name of the semi-explicit ODE/DAE system.
[in]	t_A	The function for the mass matrix.
[in]	t_TA_x	The function for the mass matrix.
[in]	t_b	The function for the right-hand-side.
[in]	t_Jb_x	The function for the right-hand-side Jacobian.
[in]	t_h	The invariants function.
[in]	t_Jh_x	The Jacobian of the invariants function.
[in]	t_in_domain	The in-domain function.

◆ ~SemiExplicitWrapper()

template<typename Real, Integer N, Integer M = 0>

Sandals::SemiExplicitWrapper< Real, N, M >::~SemiExplicitWrapper ( )

inline

Class destructor for the semi-explicit ODE/DAE system wrapper.

Member Function Documentation

◆ A() [1/2]

template<typename Real, Integer N, Integer M = 0>

FunctionA & Sandals::SemiExplicitWrapper< Real, N, M >::A ( )

inline

Get the function for the mass matrix.

Returns: The function for the mass matrix.

◆ A() [2/2]

template<typename Real, Integer N, Integer M = 0>

MatrixA Sandals::SemiExplicitWrapper< Real, N, M >::A	(	VectorF const &	x,
		Real const	t ) const

inlineoverridevirtual

Evaluate th e semi-explicit ODE/DAE system mass matrix \( \mathbf{A}(\mathbf{x}, t) \).

Parameters

[in]	x	States \( \mathbf{x} \).
[in]	t	Independent variable (or time) \( t \).

Returns: The system mass matrix \( \mathbf{A}(\mathbf{x}, t) \).

Implements Sandals::SemiExplicit< Real, N, 0 >.

◆ b() [1/2]

template<typename Real, Integer N, Integer M = 0>

FunctionB & Sandals::SemiExplicitWrapper< Real, N, M >::b ( )

inline

Get the function for the right-hand-side.

Returns: The function for the right-hand-side.

◆ b() [2/2]

template<typename Real, Integer N, Integer M = 0>

VectorB Sandals::SemiExplicitWrapper< Real, N, M >::b	(	VectorF const &	x,
		Real const	t ) const

inlineoverridevirtual

Evaluate the semi-explicit ODE/DAE system right-hand-side function \( \mathbf{b}(\mathbf{x}, t) \).

Parameters

[in]	x	States \( \mathbf{x} \).
[in]	t	Independent variable (or time) \( t \).

Returns: The system function \( \mathbf{b}(\mathbf{x}, t) \).

Implements Sandals::SemiExplicit< Real, N, 0 >.

◆ h() [1/2]

template<typename Real, Integer N, Integer M = 0>

FunctionH & Sandals::SemiExplicitWrapper< Real, N, M >::h ( )

inline

Get the system's invariants.

Returns: The system's invariants.

◆ h() [2/2]

template<typename Real, Integer N, Integer M = 0>

VectorH Sandals::SemiExplicitWrapper< Real, N, M >::h	(	VectorF const &	x,
		Real const	t ) const

inlineoverridevirtual

Evaluate the ODE/DAE system invariants \( \mathbf{h}(\mathbf{x}, t) \).

Parameters

[in]	x	States \( \mathbf{x} \).
[in]	t	Independent variable (or time) \( t \).

Returns: The system invariants \( \mathbf{h}(\mathbf{x}, t) \).

Implements Sandals::Implicit< Real, N, M >.

◆ in_domain() [1/2]

template<typename Real, Integer N, Integer M = 0>

FunctionID & Sandals::SemiExplicitWrapper< Real, N, M >::in_domain ( )

inline

Get the in-domain function.

Returns: The in-domain function.

◆ in_domain() [2/2]

template<typename Real, Integer N, Integer M = 0>

bool Sandals::SemiExplicitWrapper< Real, N, M >::in_domain	(	VectorF const &	x,
		Real const	t ) const

inlineoverridevirtual

Return true if the values \( \mathbf{f}(\mathbf{x}, t) \) is in the domain of the ODE/DAE system.

Parameters

[in]	x	States \( \mathbf{x} \).
[in]	t	Independent variable (or time) \( t \).

Returns: True if \( \mathbf{f}(\mathbf{x}, t) \) is in the domain of the ODE/DAE system.

Implements Sandals::Implicit< Real, N, M >.

◆ Jb_x() [1/2]

template<typename Real, Integer N, Integer M = 0>

FunctionJB & Sandals::SemiExplicitWrapper< Real, N, M >::Jb_x ( )

inline

Get the function for the right-hand-side Jacobian.

Returns: The function for the right-hand-side Jacobian.

◆ Jb_x() [2/2]

template<typename Real, Integer N, Integer M = 0>

MatrixJB Sandals::SemiExplicitWrapper< Real, N, M >::Jb_x	(	VectorF const &	x,
		Real const	t ) const

inlineoverridevirtual

Evaluate the Jacobian of the semi-explicit ODE/DAE system right-hand-side function \( \mathbf{b} (\mathbf{x}, t) \) with respect to the states \( \mathbf{x} \)

\[\mathbf{Jb}_{\mathbf{x}}(\mathbf{x}, t) = \displaystyle\frac{\partial\mathbf{b}(\mathbf{x}, t)}{\partial\mathbf{x}} \text{.} \]

Parameters

[in]	x	States \( \mathbf{x} \).
[in]	t	Independent variable (or time) \( t \).

Returns: The Jacobian \( \mathbf{Jb}_{\mathbf{x}}(\mathbf{x}, t) \).

Implements Sandals::SemiExplicit< Real, N, 0 >.

◆ Jh_x() [1/2]

template<typename Real, Integer N, Integer M = 0>

FunctionJH & Sandals::SemiExplicitWrapper< Real, N, M >::Jh_x ( )

inline

Get the Jacobian of the system's invariants with respect to the states.

Returns: The Jacobian of the system's invariants with respect to the states.

◆ Jh_x() [2/2]

template<typename Real, Integer N, Integer M = 0>

MatrixJH Sandals::SemiExplicitWrapper< Real, N, M >::Jh_x	(	VectorF const &	x,
		Real const	t ) const

inlineoverridevirtual

Evaluate the Jacobian of the ODE/DAE system invariants \( \mathbf{h}(\mathbf{x}, t) \) with respect to the states \( \mathbf{x} \)

\[\mathbf{Jh}_{\mathbf{x}}(\mathbf{x} t) = \displaystyle\frac{\partial\mathbf{h}(\mathbf{x}, t)}{\partial\mathbf{x}} \text{.} \]

Parameters

[in]	x	States \( \mathbf{x} \).
[in]	t	Independent variable (or time) \( t \).

Returns: The Jacobian \( \mathbf{Jh}_{\mathbf{x}}(\mathbf{x}, t) \).

Implements Sandals::Implicit< Real, N, M >.

◆ TA_x() [1/2]

template<typename Real, Integer N, Integer M = 0>

FunctionTA & Sandals::SemiExplicitWrapper< Real, N, M >::TA_x ( )

inline

Get the function for the mass matrix tensor with respect to the states.

Returns: The function for the mass matrix tensor with respect to the states.

◆ TA_x() [2/2]

template<typename Real, Integer N, Integer M = 0>

TensorTA Sandals::SemiExplicitWrapper< Real, N, M >::TA_x	(	VectorF const &	x,
		Real const	t ) const

inlineoverridevirtual

Evaluate the tensor of the semi-explicit ODE/DAE system mass matrix \( \mathbf{A}(\mathbf{x}, t) \) with respect to the states \( \mathbf{x} \)

\[\mathbf{TA}_{\mathbf{x}}(\mathbf{x}, t) = \displaystyle\frac{\partial\mathbf{A}(\mathbf{x}, t)}{\partial\mathbf{x}} \text{.} \]

Parameters

[in]	x	States \( \mathbf{x} \).
[in]	t	Independent variable (or time) \( t \).

Returns: The Jacobian \( \mathbf{TA}_{\mathbf{x}}(\mathbf{x}, t) \).

Implements Sandals::SemiExplicit< Real, N, 0 >.

Member Data Documentation

◆ DefaultH

template<typename Real, Integer N, Integer M = 0>

const FunctionH Sandals::SemiExplicitWrapper< Real, N, M >::DefaultH = [](VectorF const &, Real const) {return VectorH::Zero();}

inlinestatic

Default mass matrix function.

◆ DefaultID

template<typename Real, Integer N, Integer M = 0>

const FunctionID Sandals::SemiExplicitWrapper< Real, N, M >::DefaultID = [](VectorF const &, Real const) {return true;}

inlinestatic

Default in-domain function.

◆ DefaultJH

template<typename Real, Integer N, Integer M = 0>

const FunctionJH Sandals::SemiExplicitWrapper< Real, N, M >::DefaultJH = [](VectorF const &, Real const) {return MatrixJH::Zero();}

inlinestatic

Default system matrix function.

◆ m_A

template<typename Real, Integer N, Integer M = 0>

FunctionA Sandals::SemiExplicitWrapper< Real, N, M >::m_A {nullptr}

private

Function for the mass matrix.

◆ m_b

template<typename Real, Integer N, Integer M = 0>

FunctionB Sandals::SemiExplicitWrapper< Real, N, M >::m_b {nullptr}

private

Function for the right-hand-side.

◆ m_h

template<typename Real, Integer N, Integer M = 0>

FunctionH Sandals::SemiExplicitWrapper< Real, N, M >::m_h {nullptr}

private

Invariants function.

◆ m_in_domain

template<typename Real, Integer N, Integer M = 0>

FunctionID Sandals::SemiExplicitWrapper< Real, N, M >::m_in_domain {nullptr}

private

In-domain function.

◆ m_Jb_x

template<typename Real, Integer N, Integer M = 0>

FunctionJB Sandals::SemiExplicitWrapper< Real, N, M >::m_Jb_x {nullptr}

private

Function for the right-hand-side Jacobian.

◆ m_Jh_x

template<typename Real, Integer N, Integer M = 0>

FunctionJH Sandals::SemiExplicitWrapper< Real, N, M >::m_Jh_x {nullptr}

private

Jacobian of the invariants function.

◆ m_TA_x

template<typename Real, Integer N, Integer M = 0>

FunctionTA Sandals::SemiExplicitWrapper< Real, N, M >::m_TA_x {nullptr}

private

Function for the mass matrix.

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

include/Sandals/System/SemiExplicit.hh

Public Types

Public Member Functions

Static Public Attributes

Private Attributes

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ FunctionA

◆ FunctionB

◆ FunctionH

◆ FunctionID

◆ FunctionJB

◆ FunctionJH

◆ FunctionTA

◆ Pointer

Constructor & Destructor Documentation

◆ SemiExplicitWrapper() [1/2]

◆ SemiExplicitWrapper() [2/2]

◆ ~SemiExplicitWrapper()

Member Function Documentation

◆ A() [1/2]

◆ A() [2/2]

◆ b() [1/2]

◆ b() [2/2]

◆ h() [1/2]

◆ h() [2/2]

◆ in_domain() [1/2]

◆ in_domain() [2/2]

◆ Jb_x() [1/2]

◆ Jb_x() [2/2]

◆ Jh_x() [1/2]

◆ Jh_x() [2/2]

◆ TA_x() [1/2]

◆ TA_x() [2/2]

Member Data Documentation

◆ DefaultH

◆ DefaultID

◆ DefaultJH

◆ m_A

◆ m_b

◆ m_h

◆ m_in_domain

◆ m_Jb_x

◆ m_Jh_x

◆ m_TA_x