polyfem::solver::PowerMap Class Reference

#include <Parametrizations.hpp>

Inheritance diagram for polyfem::solver::PowerMap:

Collaboration diagram for polyfem::solver::PowerMap:

Public Member Functions
	PowerMap (const double power=1, 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 double	power_
const int	from_
const int	to_

Detailed Description

Definition at line 48 of file Parametrizations.hpp.

Constructor & Destructor Documentation

PowerMap()

polyfem::solver::PowerMap::PowerMap ( const double  power = 1, const int  from = -1, const int  to = -1  )

inline

Definition at line 51 of file Parametrizations.hpp.

References from_, power_, and to_.

Member Function Documentation

apply_jacobian()

Eigen::VectorXd polyfem::solver::PowerMap::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 119 of file Parametrizations.cpp.

References from_, power_, to_, and x.

eval()

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

overridevirtual

Eval y = f(x).

Parameters

[in]

x

x.

Returns

y.

Implements polyfem::solver::Parametrization.

Definition at line 107 of file Parametrizations.cpp.

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

inverse_eval()

Eigen::VectorXd polyfem::solver::PowerMap::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]

y

y.

Returns

x.

Exceptions

std::runtime_error

Throw if not implemented.

Reimplemented from polyfem::solver::Parametrization.

Definition at line 95 of file Parametrizations.cpp.

References from_, power_, to_, and y.

size()

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

inlineoverridevirtual

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 57 of file Parametrizations.hpp.

Member Data Documentation

from_

const int polyfem::solver::PowerMap::from_

private

Definition at line 64 of file Parametrizations.hpp.

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

power_

const double polyfem::solver::PowerMap::power_

private

Definition at line 63 of file Parametrizations.hpp.

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

to_

const int polyfem::solver::PowerMap::to_

private

Definition at line 64 of file Parametrizations.hpp.

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

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

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