Map per body to per FE node in node major layout (x1 y1 z1 x2 y2 z2...) More...

#include <Parametrizations.hpp>

Inheritance diagram for polyfem::solver::PerBody2PerNode:

Collaboration diagram for polyfem::solver::PerBody2PerNode:

Public Member Functions
	PerBody2PerNode (const mesh::Mesh &mesh, const std::vector< basis::ElementBases > &bases, const int n_bases)

int	size (const int x_size) const override
	Compute DOF of y given DOF of x.

int	inverse_size (int y_size) const override
	Compute DOF of x given DOF of y.

Eigen::VectorXd	inverse_eval (const Eigen::VectorXd &y) const override
	Eval x = f^-1 (y).

Eigen::VectorXd	eval (const Eigen::VectorXd &x) const override
	Eval y = f(x).

Eigen::VectorXd	apply_jacobian (const Eigen::VectorXd &grad, const Eigen::VectorXd &x) const override
	Apply jacobian for chain rule.

Public Member Functions inherited from polyfem::solver::Parametrization
virtual	~Parametrization ()=default

Private Attributes
const mesh::Mesh &	mesh_

const std::vector< basis::ElementBases > &	bases_

int	full_size_

int	reduced_size_
	FE node num.

Eigen::VectorXi	compacted_body_node_num_
	Body num.

Eigen::VectorXi	node_id_to_compacted_body_
	Number of nodes of a body.

Detailed Description

Map per body to per FE node in node major layout (x1 y1 z1 x2 y2 z2...)

The order of the input body is pseudo randomly determined by the element order of input mesh, Which is different from body id.

Definition at line 84 of file Parametrizations.hpp.

Constructor & Destructor Documentation

◆ PerBody2PerNode()

polyfem::solver::PerBody2PerNode::PerBody2PerNode	(	const mesh::Mesh &	mesh,
		const std::vector< basis::ElementBases > &	bases,
		const int	n_bases
	)

Definition at line 266 of file Parametrizations.cpp.

References compacted_body_node_num_, full_size_, polyfem::mesh::Mesh::get_body_id(), polyfem::log_and_throw_adjoint_error(), polyfem::logger(), mesh_, polyfem::mesh::Mesh::n_elements(), node_id_to_compacted_body_, and reduced_size_.

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Member Function Documentation

◆ apply_jacobian()

Eigen::VectorXd polyfem::solver::PerBody2PerNode::apply_jacobian	(	const Eigen::VectorXd &	grad_full,
		const Eigen::VectorXd &	x
	)		const

overridevirtual

Apply jacobian for chain rule.

Let g(y) = g(f(x)). Given ∂g/∂y, compute ∂g/∂x = ∂g/∂y * ∂y/∂x.

Parameters

[in]	grad_full	∂g/∂y.
[in]	x	Where ∂g/∂x is evaluated.

Returns: ∂g/∂x.

Implements polyfem::solver::Parametrization.

Definition at line 365 of file Parametrizations.cpp.

References full_size_, node_id_to_compacted_body_, reduced_size_, size(), and x.

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◆ eval()

Eigen::VectorXd polyfem::solver::PerBody2PerNode::eval ( const Eigen::VectorXd & x ) const

overridevirtual

Eval y = f(x).

Parameters

[in] x x.

Returns: y.

Implements polyfem::solver::Parametrization.

Definition at line 342 of file Parametrizations.cpp.

References full_size_, node_id_to_compacted_body_, reduced_size_, size(), x, and y.

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◆ inverse_eval()

Eigen::VectorXd polyfem::solver::PerBody2PerNode::inverse_eval ( const Eigen::VectorXd & y ) const

overridevirtual

Eval x = f^-1 (y).

This is not a strict inverse in mathematical sense, one may choose "reasonable" x even if f is not one-to-one.

Parameters

[in] y y.

Returns: x.

Exceptions

std::runtime_error Throw if inverse not implemented or is impossible.

Implements polyfem::solver::Parametrization.

Definition at line 316 of file Parametrizations.cpp.

References compacted_body_node_num_, full_size_, inverse_size(), node_id_to_compacted_body_, reduced_size_, x, and y.

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◆ inverse_size()

int polyfem::solver::PerBody2PerNode::inverse_size ( int y_size ) const

overridevirtual

Compute DOF of x given DOF of y.

Parameters

[in] y_size DOF of y.

Returns: DOF of x.

Exceptions

std::runtime_error Throw if inverse not impossible or y_size is invalid.

Implements polyfem::solver::Parametrization.

Definition at line 305 of file Parametrizations.cpp.

References full_size_, polyfem::log_and_throw_adjoint_error(), and reduced_size_.

Referenced by inverse_eval().

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◆ size()

int polyfem::solver::PerBody2PerNode::size ( const int x_size ) const

overridevirtual

Compute DOF of y given DOF of x.

Parameters

[in] x_size The DOF of x.

Returns: DOF of y.

Implements polyfem::solver::Parametrization.

Definition at line 359 of file Parametrizations.cpp.

References full_size_, and reduced_size_.

Referenced by apply_jacobian(), and eval().

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Member Data Documentation

◆ bases_

const std::vector<basis::ElementBases>& polyfem::solver::PerBody2PerNode::bases_

private

Definition at line 97 of file Parametrizations.hpp.

◆ compacted_body_node_num_

Eigen::VectorXi polyfem::solver::PerBody2PerNode::compacted_body_node_num_

private

Body num.

Definition at line 100 of file Parametrizations.hpp.

Referenced by inverse_eval(), and PerBody2PerNode().

◆ full_size_

int polyfem::solver::PerBody2PerNode::full_size_

private

Definition at line 98 of file Parametrizations.hpp.

Referenced by apply_jacobian(), eval(), inverse_eval(), inverse_size(), PerBody2PerNode(), and size().

◆ mesh_

const mesh::Mesh& polyfem::solver::PerBody2PerNode::mesh_

private

Definition at line 96 of file Parametrizations.hpp.

Referenced by PerBody2PerNode().

◆ node_id_to_compacted_body_

Eigen::VectorXi polyfem::solver::PerBody2PerNode::node_id_to_compacted_body_

private

Number of nodes of a body.

Definition at line 101 of file Parametrizations.hpp.

Referenced by apply_jacobian(), eval(), inverse_eval(), and PerBody2PerNode().

◆ reduced_size_

int polyfem::solver::PerBody2PerNode::reduced_size_

private

FE node num.

Definition at line 99 of file Parametrizations.hpp.

Referenced by apply_jacobian(), eval(), inverse_eval(), inverse_size(), PerBody2PerNode(), and size().

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

src/polyfem/optimization/parametrization/Parametrizations.hpp
src/polyfem/optimization/parametrization/Parametrizations.cpp

Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ PerBody2PerNode()

Member Function Documentation

◆ apply_jacobian()

◆ eval()

◆ inverse_eval()

◆ inverse_size()

◆ size()

Member Data Documentation

◆ bases_

◆ compacted_body_node_num_

◆ full_size_

◆ mesh_

◆ node_id_to_compacted_body_

◆ reduced_size_