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Public Member Functions | Private Attributes | List of all members
polyfem::solver::BSplineParametrization1DTo2D Class Reference

#include <SplineParametrizations.hpp>

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Collaboration diagram for polyfem::solver::BSplineParametrization1DTo2D:
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Public Member Functions

 BSplineParametrization1DTo2D (const Eigen::MatrixXd &initial_control_points, const Eigen::VectorXd &knots, const int num_vertices, const bool exclude_ends=true)
 
int inverse_size (int y_size) const override
 Compute DOF of x given DOF of y.
 
Eigen::VectorXd inverse_eval (const Eigen::VectorXd &y) const override
 Eval x = f^-1 (y).
 
int size (const int x_size) const override
 Compute DOF of y given DOF of x.
 
Eigen::VectorXd eval (const Eigen::VectorXd &x) const override
 Eval y = f(x).
 
Eigen::VectorXd apply_jacobian (const Eigen::VectorXd &grad_full, 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 Eigen::MatrixXd initial_control_points_
 
const Eigen::VectorXd knots_
 
const int size_
 
const bool exclude_ends_
 
bool invoked_inverse_eval_ = false
 
std::shared_ptr< BSplineParametrization2D > spline_
 

Detailed Description

Definition at line 19 of file SplineParametrizations.hpp.

Constructor & Destructor Documentation

◆ BSplineParametrization1DTo2D()

polyfem::solver::BSplineParametrization1DTo2D::BSplineParametrization1DTo2D ( const Eigen::MatrixXd &  initial_control_points,
const Eigen::VectorXd &  knots,
const int  num_vertices,
const bool  exclude_ends = true 
)
inline

Definition at line 22 of file SplineParametrizations.hpp.

Member Function Documentation

◆ apply_jacobian()

Eigen::VectorXd polyfem::solver::BSplineParametrization1DTo2D::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 135 of file SplineParametrizations.cpp.

References exclude_ends_, initial_control_points_, and spline_.

◆ eval()

Eigen::VectorXd polyfem::solver::BSplineParametrization1DTo2D::eval ( const Eigen::VectorXd &  x) const
overridevirtual

Eval y = f(x).

Parameters
[in]xx.
Returns
y.

Implements polyfem::solver::Parametrization.

Definition at line 114 of file SplineParametrizations.cpp.

References exclude_ends_, polyfem::utils::flatten(), initial_control_points_, invoked_inverse_eval_, polyfem::log_and_throw_error(), spline_, polyfem::utils::unflatten(), x, and y.

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◆ inverse_eval()

Eigen::VectorXd polyfem::solver::BSplineParametrization1DTo2D::inverse_eval ( const Eigen::VectorXd &  y) const
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 inverse not implemented or is impossible.

Implements polyfem::solver::Parametrization.

Definition at line 103 of file SplineParametrizations.cpp.

References exclude_ends_, polyfem::utils::flatten(), initial_control_points_, invoked_inverse_eval_, knots_, size_, spline_, polyfem::utils::unflatten(), and y.

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◆ inverse_size()

int polyfem::solver::BSplineParametrization1DTo2D::inverse_size ( int  y_size) const
overridevirtual

Compute DOF of x given DOF of y.

Parameters
[in]y_sizeDOF of y.
Returns
DOF of x.
Exceptions
std::runtime_errorThrow if inverse not impossible or y_size is invalid.

Implements polyfem::solver::Parametrization.

Definition at line 97 of file SplineParametrizations.cpp.

References exclude_ends_, and initial_control_points_.

◆ size()

int polyfem::solver::BSplineParametrization1DTo2D::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 29 of file SplineParametrizations.hpp.

References size_.

Member Data Documentation

◆ exclude_ends_

const bool polyfem::solver::BSplineParametrization1DTo2D::exclude_ends_
private

Definition at line 41 of file SplineParametrizations.hpp.

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

◆ initial_control_points_

const Eigen::MatrixXd polyfem::solver::BSplineParametrization1DTo2D::initial_control_points_
private

Definition at line 37 of file SplineParametrizations.hpp.

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

◆ invoked_inverse_eval_

bool polyfem::solver::BSplineParametrization1DTo2D::invoked_inverse_eval_ = false
mutableprivate

Definition at line 45 of file SplineParametrizations.hpp.

Referenced by eval(), and inverse_eval().

◆ knots_

const Eigen::VectorXd polyfem::solver::BSplineParametrization1DTo2D::knots_
private

Definition at line 38 of file SplineParametrizations.hpp.

Referenced by inverse_eval().

◆ size_

const int polyfem::solver::BSplineParametrization1DTo2D::size_
private

Definition at line 40 of file SplineParametrizations.hpp.

Referenced by inverse_eval(), and size().

◆ spline_

std::shared_ptr<BSplineParametrization2D> polyfem::solver::BSplineParametrization1DTo2D::spline_
mutableprivate

Definition at line 46 of file SplineParametrizations.hpp.

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

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