wmtk::function::LocalNeighborsSumFunction Class Reference

#include <LocalNeighborsSumFunction.hpp>

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Public Member Functions
	LocalNeighborsSumFunction (Mesh &mesh, const attribute::MeshAttributeHandle &handle, PerSimplexFunction &function)
double	get_value (const simplex::Simplex &variable_simplex) const override
	collects the local neigh and call the same m_function on all simplicies
Eigen::VectorXd	get_gradient (const simplex::Simplex &variable_simplex) const override
	get_gradient collects the local neigh and call the gradient of m_function on all simplicies
Eigen::MatrixXd	get_hessian (const simplex::Simplex &variable_simplex) const override
	get_hessian evaluates the hessian of the function f(x) defined wrt the variable x.
std::vector< simplex::Simplex >	domain (const simplex::Simplex &variable_simplex) const override
Public Member Functions inherited from wmtk::function::Function
	Function (Mesh &mesh, const attribute::MeshAttributeHandle &handle)
virtual	~Function ()
Mesh &	mesh ()
const Mesh &	mesh () const
PrimitiveType	attribute_type () const
int64_t	embedded_dimension () const
const attribute::MeshAttributeHandle &	attribute_handle () const

Private Attributes
PerSimplexFunction &	m_function
PrimitiveType	m_domain_simplex_type

Detailed Description

Definition at line 9 of file LocalNeighborsSumFunction.hpp.

Constructor & Destructor Documentation

LocalNeighborsSumFunction()

wmtk::function::LocalNeighborsSumFunction::LocalNeighborsSumFunction	(	Mesh &	mesh,
		const attribute::MeshAttributeHandle &	handle,
		PerSimplexFunction &	function
	)

Definition at line 11 of file LocalNeighborsSumFunction.cpp.

References m_domain_simplex_type, wmtk::function::Function::mesh(), and wmtk::Mesh::top_simplex_type().

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Member Function Documentation

domain()

std::vector< simplex::Simplex > wmtk::function::LocalNeighborsSumFunction::domain ( const simplex::Simplex &  variable_simplex ) const

overridevirtual

Implements wmtk::function::Function.

Definition at line 21 of file LocalNeighborsSumFunction.cpp.

References wmtk::simplex::cofaces_single_dimension_simplices(), m_domain_simplex_type, and wmtk::function::Function::mesh().

Referenced by get_gradient(), get_hessian(), and get_value().

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get_gradient()

Eigen::VectorXd wmtk::function::LocalNeighborsSumFunction::get_gradient ( const simplex::Simplex &  variable_simplex ) const

overridevirtual

get_gradient collects the local neigh and call the gradient of m_function on all simplicies

This variable is represented by the input argument variable_simplex.

Parameters

variable_simplex

The input simplex. f(x) is defined wrt the attributes of this argument.

Returns

Eigen::VectorXd The gradient of the function. The dimension of the vector is equal to the dimension of the embedded space.

Implements wmtk::function::Function.

Definition at line 48 of file LocalNeighborsSumFunction.cpp.

References wmtk::function::Function::attribute_type(), domain(), wmtk::function::Function::embedded_dimension(), wmtk::function::PerSimplexFunction::embedded_dimension(), wmtk::function::PerSimplexFunction::get_gradient(), m_domain_simplex_type, m_function, wmtk::function::Function::mesh(), wmtk::function::PerSimplexFunction::mesh(), and wmtk::simplex::Simplex::primitive_type().

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get_hessian()

Eigen::MatrixXd wmtk::function::LocalNeighborsSumFunction::get_hessian ( const simplex::Simplex &  variable_simplex ) const

overridevirtual

get_hessian evaluates the hessian of the function f(x) defined wrt the variable x.

This variable is represented by the input argument variable_simplex.

Parameters

variable_simplex

The input simplex. f(x) is defined wrt the attributes of this argument.

Returns

Eigen::MatrixXd The hessian of the function. The dimension of the matrix is equal to the dimension of the embedded space.

Implements wmtk::function::Function.

Definition at line 67 of file LocalNeighborsSumFunction.cpp.

References wmtk::function::Function::attribute_type(), domain(), wmtk::function::Function::embedded_dimension(), wmtk::function::PerSimplexFunction::embedded_dimension(), wmtk::function::PerSimplexFunction::get_hessian(), m_domain_simplex_type, m_function, wmtk::function::Function::mesh(), wmtk::function::PerSimplexFunction::mesh(), and wmtk::simplex::Simplex::primitive_type().

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get_value()

double wmtk::function::LocalNeighborsSumFunction::get_value ( const simplex::Simplex &  variable_simplex ) const

overridevirtual

collects the local neigh and call the same m_function on all simplicies

Parameters

variable_simplex

The input simplex. f(x) is defined wrt this argument.

Returns

double The value of the function at the input simplex.

Implements wmtk::function::Function.

Definition at line 30 of file LocalNeighborsSumFunction.cpp.

References wmtk::function::Function::attribute_type(), domain(), wmtk::function::Function::embedded_dimension(), wmtk::function::PerSimplexFunction::embedded_dimension(), wmtk::function::PerSimplexFunction::get_value(), m_domain_simplex_type, m_function, wmtk::function::Function::mesh(), wmtk::function::PerSimplexFunction::mesh(), and wmtk::simplex::Simplex::primitive_type().

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Member Data Documentation

m_domain_simplex_type

PrimitiveType wmtk::function::LocalNeighborsSumFunction::m_domain_simplex_type

private

Definition at line 44 of file LocalNeighborsSumFunction.hpp.

Referenced by domain(), get_gradient(), get_hessian(), get_value(), and LocalNeighborsSumFunction().

m_function

PerSimplexFunction& wmtk::function::LocalNeighborsSumFunction::m_function

private

Definition at line 43 of file LocalNeighborsSumFunction.hpp.

Referenced by get_gradient(), get_hessian(), and get_value().

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

• src/wmtk/function/LocalNeighborsSumFunction.hpp
• src/wmtk/function/LocalNeighborsSumFunction.cpp