precice::mapping::CompactThinPlateSplinesC2 Class Reference

Radial basis function with compact support. More...

#include <BasisFunctions.hpp>

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Public Member Functions
	CompactThinPlateSplinesC2 (double supportRadius)
double	getSupportRadius () const
double	evaluate (double radius) const
PRECICE_HOST_DEVICE double	operator() (const double radius, const RadialBasisParameters params) const
RadialBasisParameters	getFunctionParameters ()

Private Attributes
double	_r_inv
RadialBasisParameters	_params

Additional Inherited Members
Static Public Member Functions inherited from precice::mapping::CompactSupportBase
static constexpr bool	hasCompactSupport ()
Static Public Member Functions inherited from precice::mapping::DefiniteFunction< true >
static constexpr bool	isStrictlyPositiveDefinite ()

Detailed Description

Radial basis function with compact support.

To be used as template parameter for RadialBasisFctMapping. Takes the support radius (> 0.0) on construction.

Evaluates to: 1 - 30*rn^2 - 10*rn^3 + 45*rn^4 - 6*rn^5 - 60*rn^3 * log(rn), where rn is the radius r normalized over the support radius sr: rn = r/sr. To work around the issue of log(0), the equation is formulated differently in the last term.

Definition at line 314 of file BasisFunctions.hpp.

Constructor & Destructor Documentation

CompactThinPlateSplinesC2()

precice::mapping::CompactThinPlateSplinesC2::CompactThinPlateSplinesC2 ( double supportRadius )

inlineexplicit

Definition at line 317 of file BasisFunctions.hpp.

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Member Function Documentation

evaluate()

double precice::mapping::CompactThinPlateSplinesC2::evaluate ( double radius ) const

inline

Definition at line 333 of file BasisFunctions.hpp.

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getFunctionParameters()

RadialBasisParameters precice::mapping::CompactThinPlateSplinesC2::getFunctionParameters ( )

inline

Definition at line 347 of file BasisFunctions.hpp.

getSupportRadius()

double precice::mapping::CompactThinPlateSplinesC2::getSupportRadius ( ) const

inline

Definition at line 328 of file BasisFunctions.hpp.

operator()()

PRECICE_HOST_DEVICE double precice::mapping::CompactThinPlateSplinesC2::operator() ( const double radius, const RadialBasisParameters params ) const

inline

Definition at line 338 of file BasisFunctions.hpp.

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Member Data Documentation

_params

RadialBasisParameters precice::mapping::CompactThinPlateSplinesC2::_params

private

Definition at line 354 of file BasisFunctions.hpp.

_r_inv

double precice::mapping::CompactThinPlateSplinesC2::_r_inv

private

Definition at line 353 of file BasisFunctions.hpp.

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

• src/mapping/impl/BasisFunctions.hpp