Possibly scaled, shifted invariant $scaling (invariant - offset)$ , where $offset = dim$ for the first two (principal,modified) invariants and $offset = 1$ for the third (principal,modified) and mixed invariants. More...

#include <shiftedInvariant.hh>

Inheritance diagram for RFFGen::LinearAlgebra::ShiftedInvariant< Invariant, offset >:

Public Member Functions
template<class Matrix >
	ShiftedInvariant (Matrix const &A)

template<class Matrix >
	ShiftedInvariant (const Matrix &A, const Constant< Matrix > &M)

template<class Matrix >
	ShiftedInvariant (const Matrix &A, const Matrix &M)

template<class Matrix >
void	update (Matrix const &A)
	Reset matrix to compute shifted invariant from.

auto	d0 () const noexcept
	Value of the shifted invariant.

template<int id, class Arg , class IndexedArg = IndexedType<Arg,id>, class = std::enable_if_t<EvaluateIfPresent< D1<Invariant,IndexedArg> >::present>>
auto	d1 (const Arg &dA1) const
	First directional derivative of the (scaled) shifted invariant. More...

template<int idx, int idy, class ArgX , class ArgY , class IndexedArgX = IndexedType<ArgX,idx>, class IndexedArgY = IndexedType<ArgY,idx>, class = std::enable_if_t<EvaluateIfPresent< D2<Invariant,IndexedArgX,IndexedArgY> >::present>>
auto	d2 (const ArgX &dA1, const ArgY &dA2) const
	Second directional derivative of the (scaled) shifted invariant. More...

template<int idx, int idy, int idz, class ArgX , class ArgY , class ArgZ , class IndexedArgX = IndexedType<ArgX,idx>, class IndexedArgY = IndexedType<ArgY,idy>, class IndexedArgZ = IndexedType<ArgZ,idz>, class = std::enable_if_t< EvaluateIfPresent< D3<Invariant,IndexedArgX,IndexedArgY,IndexedArgZ> >::present >>
auto	d3 (ArgX const &dA1, ArgY const &dA2, ArgZ const &dA3) const
	Third directional derivative of the (scaled) shifted invariant. More...

Detailed Description

template<class Invariant, int offset>
class RFFGen::LinearAlgebra::ShiftedInvariant< Invariant, offset >

Possibly scaled, shifted invariant $scaling (invariant - offset)$ , where $offset = dim$ for the first two (principal,modified) invariants and $offset = 1$ for the third (principal,modified) and mixed invariants.

Constructor & Destructor Documentation

template<class Invariant , int offset>

template<class Matrix >

RFFGen::LinearAlgebra::ShiftedInvariant< Invariant, offset >::ShiftedInvariant ( Matrix const & A )

inline

Parameters

A	matrix to compute invariant from.

template<class Invariant , int offset>

template<class Matrix >

RFFGen::LinearAlgebra::ShiftedInvariant< Invariant, offset >::ShiftedInvariant	(	const Matrix &	A,
		const Constant< Matrix > &	M
	)

inline

Parameters

A	matrix to compute invariant from.
M	structural tensor for incorporation of anisotropic information.

template<class Invariant , int offset>

template<class Matrix >

RFFGen::LinearAlgebra::ShiftedInvariant< Invariant, offset >::ShiftedInvariant	(	const Matrix &	A,
		const Matrix &	M
	)

inline

Parameters

A	matrix to compute invariant from.
M	structural tensor for incorporation of anisotropic information.

Member Function Documentation

template<class Invariant , int offset>

template<int id, class Arg , class IndexedArg = IndexedType<Arg,id>, class = std::enable_if_t<EvaluateIfPresent< D1<Invariant,IndexedArg> >::present>>

auto RFFGen::LinearAlgebra::ShiftedInvariant< Invariant, offset >::d1 ( const Arg & dA1 ) const

inline

First directional derivative of the (scaled) shifted invariant.

Parameters

dA1	direction for which the derivative is computed

Returns: derivative in direction dA1

template<class Invariant , int offset>

template<int idx, int idy, class ArgX , class ArgY , class IndexedArgX = IndexedType<ArgX,idx>, class IndexedArgY = IndexedType<ArgY,idx>, class = std::enable_if_t<EvaluateIfPresent< D2<Invariant,IndexedArgX,IndexedArgY> >::present>>

auto RFFGen::LinearAlgebra::ShiftedInvariant< Invariant, offset >::d2	(	const ArgX &	dA1,
		const ArgY &	dA2
	)		const

inline

Second directional derivative of the (scaled) shifted invariant.

Parameters

dA1	direction for which the derivative is computed
dA2	direction for which the derivative is computed

Returns: second derivative in the directions dA1 and dA2

template<class Invariant , int offset>

template<int idx, int idy, int idz, class ArgX , class ArgY , class ArgZ , class IndexedArgX = IndexedType<ArgX,idx>, class IndexedArgY = IndexedType<ArgY,idy>, class IndexedArgZ = IndexedType<ArgZ,idz>, class = std::enable_if_t< EvaluateIfPresent< D3<Invariant,IndexedArgX,IndexedArgY,IndexedArgZ> >::present >>

auto RFFGen::LinearAlgebra::ShiftedInvariant< Invariant, offset >::d3	(	ArgX const &	dA1,
		ArgY const &	dA2,
		ArgZ const &	dA3
	)		const

inline

Third directional derivative of the (scaled) shifted invariant.

Parameters

dA1	direction for which the derivative is computed
dA2	direction for which the derivative is computed
dA3	direction for which the derivative is computed

Returns: second derivative in the directions dA1, dA2 and dA3

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

RFFGen/LinearAlgebra/shiftedInvariant.hh

Public Member Functions

Detailed Description

template<class Invariant, int offset> class RFFGen::LinearAlgebra::ShiftedInvariant< Invariant, offset >

Constructor & Destructor Documentation

Member Function Documentation

template<class Invariant, int offset>
class RFFGen::LinearAlgebra::ShiftedInvariant< Invariant, offset >