Tikonov regularization form between x and x_lagged. More...

#include <LaggedRegForm.hpp>

Inheritance diagram for polyfem::solver::LaggedRegForm:

Collaboration diagram for polyfem::solver::LaggedRegForm:

Public Member Functions
	LaggedRegForm (const int n_lagging_iters)
	Construct a new Lagged Regularization Form object.

std::string	name () const override

void	init_lagging (const Eigen::VectorXd &x) override
	Initialize lagged fields.

void	update_lagging (const Eigen::VectorXd &x, const int iter_num) override
	Update lagged fields.

bool	uses_lagging () const override
	Does this form require lagging?

Public Member Functions inherited from polyfem::solver::Form
virtual	~Form ()

virtual void	init (const Eigen::VectorXd &x)
	Initialize the form.

virtual void	finish ()

virtual double	value (const Eigen::VectorXd &x) const
	Compute the value of the form multiplied with the weigth.

Eigen::VectorXd	value_per_element (const Eigen::VectorXd &x) const
	Compute the value of the form multiplied with the weigth.

virtual void	first_derivative (const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const
	Compute the first derivative of the value wrt x multiplied with the weigth.

void	second_derivative (const Eigen::VectorXd &x, StiffnessMatrix &hessian) const
	Compute the second derivative of the value wrt x multiplied with the weigth.

virtual bool	is_step_valid (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const
	Determine if a step from solution x0 to solution x1 is allowed.

virtual double	max_step_size (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const
	Determine the maximum step size allowable between the current and next solution.

virtual void	line_search_begin (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1)
	Initialize variables used during the line search.

virtual void	line_search_end ()
	Clear variables used during the line search.

virtual void	post_step (const polysolve::nonlinear::PostStepData &data)
	Update fields after a step in the optimization.

virtual void	solution_changed (const Eigen::VectorXd &new_x)
	Update cached fields upon a change in the solution.

virtual void	update_quantities (const double t, const Eigen::VectorXd &x)
	Update time-dependent fields.

virtual int	max_lagging_iterations () const
	Get the maximum number of lagging iteration allowable.

void	set_project_to_psd (bool val)
	Set project to psd.

bool	is_project_to_psd () const
	Get if the form's second derivative is projected to psd.

void	enable ()
	Enable the form.

void	disable ()
	Disable the form.

void	set_enabled (const bool enabled)
	Set if the form is enabled.

bool	enabled () const
	Determine if the form is enabled.

virtual double	weight () const
	Get the form's multiplicative constant weight.

void	set_weight (const double weight)
	Set the form's multiplicative constant weight.

virtual bool	is_step_collision_free (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const
	Checks if the step is collision free.

void	set_output_dir (const std::string &output_dir)

Protected Member Functions
double	value_unweighted (const Eigen::VectorXd &x) const override
	Compute the value of the form.

void	first_derivative_unweighted (const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const override
	Compute the first derivative of the value wrt x.

void	second_derivative_unweighted (const Eigen::VectorXd &x, StiffnessMatrix &hessian) const override
	Compute the second derivative of the value wrt x.

Protected Member Functions inherited from polyfem::solver::Form
std::string	resolve_output_path (const std::string &path) const

virtual Eigen::VectorXd	value_per_element_unweighted (const Eigen::VectorXd &x) const
	Compute the value of the form multiplied per element.

Private Attributes
int	n_lagging_iters_
	Number of iterations to lag for.

Eigen::VectorXd	x_lagged_
	The full variables from the previous lagging solve.

Additional Inherited Members
Protected Attributes inherited from polyfem::solver::Form
bool	project_to_psd_ = false
	If true, the form's second derivative is projected to be positive semidefinite.

double	weight_ = 1
	weight of the form (e.g., AL penalty weight or Δt²)

bool	enabled_ = true
	If true, the form is enabled.

std::string	output_dir_

Detailed Description

Tikonov regularization form between x and x_lagged.

Definition at line 10 of file LaggedRegForm.hpp.

Constructor & Destructor Documentation

◆ LaggedRegForm()

polyfem::solver::LaggedRegForm::LaggedRegForm ( const int n_lagging_iters )

Construct a new Lagged Regularization Form object.

Definition at line 9 of file LaggedRegForm.cpp.

References polyfem::solver::Form::disable(), and n_lagging_iters_.

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Member Function Documentation

◆ first_derivative_unweighted()

void polyfem::solver::LaggedRegForm::first_derivative_unweighted	(	const Eigen::VectorXd &	x,
		Eigen::VectorXd &	gradv
	)		const

overrideprotectedvirtual

Compute the first derivative of the value wrt x.

Parameters

[in]	x	Current solution
[out]	gradv	Output gradient of the value wrt x

Implements polyfem::solver::Form.

Definition at line 21 of file LaggedRegForm.cpp.

References x, and x_lagged_.

◆ init_lagging()

void polyfem::solver::LaggedRegForm::init_lagging ( const Eigen::VectorXd & x )

overridevirtual

Initialize lagged fields.

Parameters

x	Current solution

Reimplemented from polyfem::solver::Form.

Definition at line 32 of file LaggedRegForm.cpp.

References update_lagging(), and x.

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◆ name()

std::string polyfem::solver::LaggedRegForm::name ( ) const

inlineoverridevirtual

Implements polyfem::solver::Form.

Definition at line 16 of file LaggedRegForm.hpp.

◆ second_derivative_unweighted()

void polyfem::solver::LaggedRegForm::second_derivative_unweighted	(	const Eigen::VectorXd &	x,
		StiffnessMatrix &	hessian
	)		const

overrideprotectedvirtual

Compute the second derivative of the value wrt x.

Parameters

[in]	x	Current solution
[out]	hessian	Output Hessian of the value wrt x

Implements polyfem::solver::Form.

Definition at line 26 of file LaggedRegForm.cpp.

References x.

◆ update_lagging()

void polyfem::solver::LaggedRegForm::update_lagging	(	const Eigen::VectorXd &	x,
		const int	iter_num
	)

overridevirtual

Update lagged fields.

Parameters

x	Current solution

Returns: True if the lagged fields have been updated

Reimplemented from polyfem::solver::Form.

Definition at line 37 of file LaggedRegForm.cpp.

References polyfem::solver::Form::enabled(), polyfem::logger(), n_lagging_iters_, polyfem::solver::Form::set_enabled(), x, and x_lagged_.

Referenced by init_lagging().

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◆ uses_lagging()

bool polyfem::solver::LaggedRegForm::uses_lagging ( ) const

inlineoverridevirtual

Does this form require lagging?

Returns: True if the form requires lagging

Reimplemented from polyfem::solver::Form.

Definition at line 46 of file LaggedRegForm.hpp.

◆ value_unweighted()

double polyfem::solver::LaggedRegForm::value_unweighted ( const Eigen::VectorXd & x ) const

overrideprotectedvirtual

Compute the value of the form.

Parameters

x	Current solution

Returns: Computed value

Implements polyfem::solver::Form.

Definition at line 16 of file LaggedRegForm.cpp.

References x, and x_lagged_.

Member Data Documentation

◆ n_lagging_iters_

int polyfem::solver::LaggedRegForm::n_lagging_iters_

private

Number of iterations to lag for.

Definition at line 49 of file LaggedRegForm.hpp.

Referenced by LaggedRegForm(), and update_lagging().

◆ x_lagged_

Eigen::VectorXd polyfem::solver::LaggedRegForm::x_lagged_

private

The full variables from the previous lagging solve.

Definition at line 50 of file LaggedRegForm.hpp.

Referenced by first_derivative_unweighted(), update_lagging(), and value_unweighted().

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

src/polyfem/solver/forms/LaggedRegForm.hpp
src/polyfem/solver/forms/LaggedRegForm.cpp

Public Member Functions

Protected Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ LaggedRegForm()

Member Function Documentation

◆ first_derivative_unweighted()

◆ init_lagging()

◆ name()

◆ second_derivative_unweighted()

◆ update_lagging()

◆ uses_lagging()

◆ value_unweighted()

Member Data Documentation

◆ n_lagging_iters_

◆ x_lagged_