Computes the dot product of the input x (after parametrization) and the volume of each element on the mesh. More...

#include <WeightedVolumeForm.hpp>

Inheritance diagram for polyfem::solver::WeightedVolumeForm:

Collaboration diagram for polyfem::solver::WeightedVolumeForm:

Public Member Functions
	WeightedVolumeForm (CompositeParametrization &&parametrizations, const State &state)

Public Member Functions inherited from polyfem::solver::ParametrizationForm
	ParametrizationForm (CompositeParametrization &&parametrizations)

virtual	~ParametrizationForm ()

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

virtual bool	is_step_valid (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const final override
	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 final
	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) final override
	Initialize variables used during the line search.

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

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

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

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

Public Member Functions inherited from polyfem::solver::AdjointForm
	AdjointForm (const VariableToSimulationGroup &variable_to_simulations)

virtual	~AdjointForm ()

virtual std::string	name () const override

void	enable_energy_print (const std::string &print_energy_keyword)

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

const VariableToSimulationGroup &	get_variable_to_simulations () const

virtual Eigen::MatrixXd	compute_reduced_adjoint_rhs (const Eigen::VectorXd &x, const State &state) const

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

virtual Eigen::MatrixXd	compute_adjoint_rhs (const Eigen::VectorXd &x, const State &state) const

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

virtual void	init_lagging (const Eigen::VectorXd &x) final override
	Initialize lagged fields TODO: more than one step.

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

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

virtual void	finish ()

Eigen::VectorXd	value_per_element (const Eigen::VectorXd &x) const
	Compute the value of the form 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 int	max_lagging_iterations () const
	Get the maximum number of lagging iteration allowable.

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

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.

void	set_output_dir (const std::string &output_dir)

virtual void	set_scale (const double scale)
	sets the scale for the form

Protected Member Functions
double	value_unweighted_with_param (const Eigen::VectorXd &x) const override

void	compute_partial_gradient_with_param (const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const override
	Computes the gradient of this form wrt. x, assuming that the volume of elements doesn't depend on x.

Protected Member Functions inherited from polyfem::solver::ParametrizationForm
virtual double	value_unweighted (const Eigen::VectorXd &x) const final override
	Compute the value of the form.

virtual void	compute_partial_gradient (const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const final override

virtual void	init_with_param (const Eigen::VectorXd &x)

virtual bool	is_step_valid_with_param (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const

virtual double	max_step_size_with_param (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const

virtual void	line_search_begin_with_param (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1)

virtual void	line_search_end_with_param ()

virtual void	post_step_with_param (const polysolve::nonlinear::PostStepData &data)

virtual void	solution_changed_with_param (const Eigen::VectorXd &new_x)

virtual bool	is_step_collision_free_with_param (const Eigen::VectorXd &x0, const Eigen::VectorXd &x1) const

Protected Member Functions inherited from polyfem::solver::AdjointForm
virtual void	first_derivative_unweighted (const Eigen::VectorXd &x, Eigen::VectorXd &gradv) const final override
	Compute the first derivative of the value wrt x.

virtual void	second_derivative_unweighted (const Eigen::VectorXd &x, StiffnessMatrix &hessian) const final 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
const State &	state_

Additional Inherited Members
Protected Types inherited from polyfem::solver::AdjointForm
enum class	PrintStage { Inactive , AlreadyPrinted , ToPrint }

Protected Attributes inherited from polyfem::solver::AdjointForm
const VariableToSimulationGroup	variable_to_simulations_

PrintStage	print_energy_ = PrintStage::Inactive

std::string	print_energy_keyword_

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

Computes the dot product of the input x (after parametrization) and the volume of each element on the mesh.

Definition at line 9 of file WeightedVolumeForm.hpp.

Constructor & Destructor Documentation

◆ WeightedVolumeForm()

polyfem::solver::WeightedVolumeForm::WeightedVolumeForm	(	CompositeParametrization &&	parametrizations,
		const State &	state
	)

inline

Definition at line 12 of file WeightedVolumeForm.hpp.

Member Function Documentation

◆ compute_partial_gradient_with_param()

void polyfem::solver::WeightedVolumeForm::compute_partial_gradient_with_param	(	const Eigen::VectorXd &	x,
		Eigen::VectorXd &	gradv
	)		const

overrideprotectedvirtual

Computes the gradient of this form wrt. x, assuming that the volume of elements doesn't depend on x.

Implements polyfem::solver::ParametrizationForm.

Definition at line 20 of file WeightedVolumeForm.cpp.

References polyfem::State::ass_vals_cache, polyfem::State::bases, polyfem::assembler::AssemblyValsCache::compute(), polyfem::State::geom_bases(), polyfem::State::mesh, state_, vals, polyfem::solver::Form::weight(), and x.

Here is the call graph for this function:

◆ value_unweighted_with_param()

double polyfem::solver::WeightedVolumeForm::value_unweighted_with_param ( const Eigen::VectorXd & x ) const

overrideprotectedvirtual

Parameters

x	The input vector, after parametrization, same size as the number of elements on the mesh

Reimplemented from polyfem::solver::ParametrizationForm.

Definition at line 6 of file WeightedVolumeForm.cpp.

References polyfem::State::ass_vals_cache, polyfem::State::bases, polyfem::assembler::AssemblyValsCache::compute(), polyfem::State::geom_bases(), polyfem::State::mesh, state_, val, vals, and x.

Here is the call graph for this function:

Member Data Documentation

◆ state_

const State& polyfem::solver::WeightedVolumeForm::state_

private

Definition at line 25 of file WeightedVolumeForm.hpp.

Referenced by compute_partial_gradient_with_param(), and value_unweighted_with_param().

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

src/polyfem/solver/forms/adjoint_forms/WeightedVolumeForm.hpp
src/polyfem/solver/forms/adjoint_forms/WeightedVolumeForm.cpp

Public Member Functions

Protected Member Functions

Private Attributes

Additional Inherited Members