wmtk::function Namespace Reference

Namespaces
namespace	utils

Classes
class	AMIPS
class	EdgeValenceEnergy
class	Function
class	LocalNeighborsSumFunction
class	PerSimplexAutodiffFunction
	This is an extension of the PerSimplexFunction class that uses autodiff encoding for differentiations. More...
class	PerSimplexFunction
class	PositionMapAMIPS2D
	2D TriangleAMIPS uses uv and position map to get the 3d cooridnates then evaluate More...
class	TriangleAMIPS
	This is the implementation of the AMIPS energy function of a triangle mesh that can be embedded in 2d or 3d. More...

Typedefs
using	DScalar = typename PerSimplexAutodiffFunction::DScalar
using	DSVec2 = Eigen::Vector2< DScalar >
using	DSVec3 = Eigen::Vector3< DScalar >

Functions
double	Tet_AMIPS_energy_aux (const std::array< double, 12 > &T)
void	Tet_AMIPS_jacobian (const std::array< double, 12 > &T, Eigen::Vector3d &result_0)
void	Tet_AMIPS_hessian (const std::array< double, 12 > &T, Eigen::Matrix3d &result_0)
double	Tet_AMIPS_energy (const std::array< double, 12 > &T)
double	Tri_AMIPS_energy_aux (const std::array< double, 6 > &T)
double	Tri_AMIPS_energy (const std::array< double, 6 > &T)
void	Tri_AMIPS_jacobian (const std::array< double, 6 > &T, Eigen::Vector2d &result_0)
void	Tri_AMIPS_hessian (const std::array< double, 6 > &T, Eigen::Matrix2d &result_0)
template<int64_t NV, int64_t DIM>
std::array< double, NV *DIM >	unbox (const std::vector< std::decay_t< typename attribute::ConstMapResult< double > > > &data, const int64_t index)
template<int64_t NV, int64_t DIM>
std::array< Rational, NV *DIM >	unbox (const std::vector< std::decay_t< typename attribute::ConstMapResult< Rational > > > &data, const int64_t index)

Typedef Documentation

DScalar

using wmtk::function::DScalar = typedef typename PerSimplexAutodiffFunction::DScalar

Definition at line 17 of file TriangleAMIPS.cpp.

DSVec2

using wmtk::function::DSVec2 = typedef Eigen::Vector2<DScalar>

Definition at line 18 of file TriangleAMIPS.cpp.

DSVec3

using wmtk::function::DSVec3 = typedef Eigen::Vector3<DScalar>

Definition at line 19 of file TriangleAMIPS.cpp.

Function Documentation

Tet_AMIPS_energy()

double wmtk::function::Tet_AMIPS_energy

(

const std::array< double, 12 > &

T

)

Definition at line 375 of file AMIPS.cpp.

References wmtk::pow(), and Tet_AMIPS_energy_aux().

Referenced by wmtk::function::AMIPS::get_value(), wmtk::operations::AMIPSOptimizationSmoothing::WMTKAMIPSProblem< S >::gradient(), wmtk::operations::AMIPSOptimizationSmoothingPeriodic::WMTKAMIPSProblem< S >::gradient(), wmtk::operations::AMIPSOptimizationSmoothing::WMTKAMIPSProblem< S >::hessian(), wmtk::operations::AMIPSOptimizationSmoothingPeriodic::WMTKAMIPSProblem< S >::hessian(), wmtk::components::internal::periodic_optimization(), wmtk::operations::AMIPSOptimizationSmoothing::WMTKAMIPSProblem< S >::value(), wmtk::operations::AMIPSOptimizationSmoothingPeriodic::WMTKAMIPSProblem< S >::value(), wmtk::components::wildmeshing(), wmtk::components::internal::wildmeshing2d(), and wmtk::components::internal::wildmeshing3d().

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Tet_AMIPS_energy_aux()

double wmtk::function::Tet_AMIPS_energy_aux

(

const std::array< double, 12 > &

T

)

Definition at line 12 of file AMIPS.cpp.

Referenced by Tet_AMIPS_energy().

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Tet_AMIPS_hessian()

void wmtk::function::Tet_AMIPS_hessian	(	const std::array< double, 12 > &	T,
		Eigen::Matrix3d &	result_0
	)

Definition at line 172 of file AMIPS.cpp.

References wmtk::pow().

Referenced by wmtk::function::AMIPS::get_hessian(), wmtk::operations::AMIPSOptimizationSmoothing::WMTKAMIPSProblem< S >::hessian(), and wmtk::operations::AMIPSOptimizationSmoothingPeriodic::WMTKAMIPSProblem< S >::hessian().

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Tet_AMIPS_jacobian()

void wmtk::function::Tet_AMIPS_jacobian	(	const std::array< double, 12 > &	T,
		Eigen::Vector3d &	result_0
	)

Definition at line 75 of file AMIPS.cpp.

References wmtk::pow().

Referenced by wmtk::function::AMIPS::get_gradient(), wmtk::operations::AMIPSOptimizationSmoothing::WMTKAMIPSProblem< S >::gradient(), wmtk::operations::AMIPSOptimizationSmoothingPeriodic::WMTKAMIPSProblem< S >::gradient(), wmtk::operations::AMIPSOptimizationSmoothing::WMTKAMIPSProblem< S >::hessian(), and wmtk::operations::AMIPSOptimizationSmoothingPeriodic::WMTKAMIPSProblem< S >::hessian().

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Tri_AMIPS_energy()

double wmtk::function::Tri_AMIPS_energy

(

const std::array< double, 6 > &

T

)

Definition at line 473 of file AMIPS.cpp.

References wmtk::Rational::to_double(), and Tri_AMIPS_energy_aux().

Referenced by wmtk::function::AMIPS::get_value(), wmtk::operations::AMIPSOptimizationSmoothing::WMTKAMIPSProblem< S >::gradient(), wmtk::operations::AMIPSOptimizationSmoothingPeriodic::WMTKAMIPSProblem< S >::gradient(), wmtk::operations::AMIPSOptimizationSmoothing::WMTKAMIPSProblem< S >::hessian(), wmtk::operations::AMIPSOptimizationSmoothingPeriodic::WMTKAMIPSProblem< S >::hessian(), wmtk::operations::AMIPSOptimizationSmoothing::WMTKAMIPSProblem< S >::value(), wmtk::operations::AMIPSOptimizationSmoothingPeriodic::WMTKAMIPSProblem< S >::value(), wmtk::components::wildmeshing(), wmtk::components::internal::wildmeshing2d(), and wmtk::components::internal::wildmeshing3d().

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Tri_AMIPS_energy_aux()

double wmtk::function::Tri_AMIPS_energy_aux

(

const std::array< double, 6 > &

T

)

Definition at line 435 of file AMIPS.cpp.

References wmtk::utils::wmtk_orient2d().

Referenced by Tri_AMIPS_energy().

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Tri_AMIPS_hessian()

void wmtk::function::Tri_AMIPS_hessian	(	const std::array< double, 6 > &	T,
		Eigen::Matrix2d &	result_0
	)

Definition at line 542 of file AMIPS.cpp.

References wmtk::pow().

Referenced by wmtk::function::AMIPS::get_hessian(), wmtk::operations::AMIPSOptimizationSmoothing::WMTKAMIPSProblem< S >::hessian(), and wmtk::operations::AMIPSOptimizationSmoothingPeriodic::WMTKAMIPSProblem< S >::hessian().

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Tri_AMIPS_jacobian()

void wmtk::function::Tri_AMIPS_jacobian	(	const std::array< double, 6 > &	T,
		Eigen::Vector2d &	result_0
	)

Definition at line 503 of file AMIPS.cpp.

Referenced by wmtk::function::AMIPS::get_gradient(), wmtk::operations::AMIPSOptimizationSmoothing::WMTKAMIPSProblem< S >::gradient(), wmtk::operations::AMIPSOptimizationSmoothingPeriodic::WMTKAMIPSProblem< S >::gradient(), wmtk::operations::AMIPSOptimizationSmoothing::WMTKAMIPSProblem< S >::hessian(), and wmtk::operations::AMIPSOptimizationSmoothingPeriodic::WMTKAMIPSProblem< S >::hessian().

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unbox() [1/2]

template<int64_t NV, int64_t DIM>

std::array< double, NV *DIM > wmtk::function::unbox	(	const std::vector< std::decay_t< typename attribute::ConstMapResult< double > > > &	data,
		const int64_t	index
	)

Definition at line 593 of file AMIPS.cpp.

unbox() [2/2]

template<int64_t NV, int64_t DIM>

std::array< Rational, NV *DIM > wmtk::function::unbox	(	const std::vector< std::decay_t< typename attribute::ConstMapResult< Rational > > > &	data,
		const int64_t	index
	)

Definition at line 615 of file AMIPS.cpp.