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polyfem::solver::ScalarVelocityParametrization Class Reference

#include <Parametrizations.hpp>

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Public Member Functions

 ScalarVelocityParametrization (const double start_val, const double dt)
 
int size (const int x_size) const override
 Compute DOF of y given DOF of x.
 
Eigen::VectorXd inverse_eval (const Eigen::VectorXd &y) 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 double start_val_
 
const double dt_
 

Detailed Description

Definition at line 162 of file Parametrizations.hpp.

Constructor & Destructor Documentation

◆ ScalarVelocityParametrization()

polyfem::solver::ScalarVelocityParametrization::ScalarVelocityParametrization ( const double  start_val,
const double  dt 
)
inline

Definition at line 165 of file Parametrizations.hpp.

Member Function Documentation

◆ apply_jacobian()

Eigen::VectorXd polyfem::solver::ScalarVelocityParametrization::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]xWhere ∂g/∂x is evaluated.
Returns
∂g/∂x.

Implements polyfem::solver::Parametrization.

Definition at line 478 of file Parametrizations.cpp.

References dt_, size(), and x.

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◆ eval()

Eigen::VectorXd polyfem::solver::ScalarVelocityParametrization::eval ( const Eigen::VectorXd &  x) const
overridevirtual

Eval y = f(x).

Parameters
[in]xx.
Returns
y.

Implements polyfem::solver::Parametrization.

Definition at line 468 of file Parametrizations.cpp.

References dt_, size(), start_val_, x, and y.

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◆ inverse_eval()

Eigen::VectorXd polyfem::solver::ScalarVelocityParametrization::inverse_eval ( const Eigen::VectorXd &  y)
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]yy.
Returns
x.
Exceptions
std::runtime_errorThrow if not implemented.

Reimplemented from polyfem::solver::Parametrization.

Definition at line 458 of file Parametrizations.cpp.

References dt_, size(), start_val_, x, and y.

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◆ size()

int polyfem::solver::ScalarVelocityParametrization::size ( const int  x_size) const
inlineoverridevirtual

Compute DOF of y given DOF of x.

Parameters
[in]x_sizeThe DOF of x.
Returns
DOF of y.

Implements polyfem::solver::Parametrization.

Definition at line 167 of file Parametrizations.hpp.

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

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Member Data Documentation

◆ dt_

const double polyfem::solver::ScalarVelocityParametrization::dt_
private

Definition at line 174 of file Parametrizations.hpp.

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

◆ start_val_

const double polyfem::solver::ScalarVelocityParametrization::start_val_
private

Definition at line 173 of file Parametrizations.hpp.

Referenced by eval(), and inverse_eval().


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