PolyFEM
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polyfem::solver::Scaling Class Reference

#include <Parametrizations.hpp>

Inheritance diagram for polyfem::solver::Scaling:
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Collaboration diagram for polyfem::solver::Scaling:
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Public Member Functions

 Scaling (const double scale, const int from=-1, const int to=-1)
 
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 int from_
 
const int to_
 
const double scale_
 

Detailed Description

Definition at line 33 of file Parametrizations.hpp.

Constructor & Destructor Documentation

◆ Scaling()

polyfem::solver::Scaling::Scaling ( const double  scale,
const int  from = -1,
const int  to = -1 
)

Definition at line 52 of file Parametrizations.cpp.

References from_, scale_, and to_.

Member Function Documentation

◆ apply_jacobian()

Eigen::VectorXd polyfem::solver::Scaling::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 83 of file Parametrizations.cpp.

References from_, scale_, and to_.

◆ eval()

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

Eval y = f(x).

Parameters
[in]xx.
Returns
y.

Implements polyfem::solver::Parametrization.

Definition at line 71 of file Parametrizations.cpp.

References from_, scale_, to_, x, and y.

◆ inverse_eval()

Eigen::VectorXd polyfem::solver::Scaling::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 59 of file Parametrizations.cpp.

References from_, scale_, to_, and y.

◆ size()

int polyfem::solver::Scaling::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 38 of file Parametrizations.hpp.

Member Data Documentation

◆ from_

const int polyfem::solver::Scaling::from_
private

Definition at line 44 of file Parametrizations.hpp.

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

◆ scale_

const double polyfem::solver::Scaling::scale_
private

Definition at line 45 of file Parametrizations.hpp.

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

◆ to_

const int polyfem::solver::Scaling::to_
private

Definition at line 44 of file Parametrizations.hpp.

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


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