API for individual tensors with pointer-only input. More...

Functions
template<class T >
void	O2 (T *ret)
	See Cartesian3d::O2() More...

template<class T >
void	O4 (T *ret)
	See Cartesian3d::O4() More...

template<class T >
void	I2 (T *ret)
	See Cartesian3d::I2() More...

template<class T >
void	II (T *ret)
	See Cartesian3d::II() More...

template<class T >
void	I4 (T *ret)
	See Cartesian3d::I4() More...

template<class T >
void	I4rt (T *ret)
	See Cartesian3d::I4rt() More...

template<class T >
void	I4s (T *ret)
	See Cartesian3d::I4s() More...

template<class T >
void	I4d (T *ret)
	See Cartesian3d::I4d() More...

template<class T >
T	Trace (const T *A)
	See Cartesian3d::Trace() More...

template<class T >
T	Hydrostatic (const T *A)
	See Cartesian3d::Hydrostatic() More...

template<class T >
T	Det (const T *A)
	See Cartesian3d::Det() More...

template<class T >
void	sym (const T A, T ret)
	See Cartesian3d::Sym() More...

template<class T >
T	Inv (const T A, T ret)
	See Cartesian3d::Inv(), returns Cartesian3d::Det() More...

template<class T >
T	Hydrostatic_deviatoric (const T A, T ret)
	Returns Cartesian3d::Hydrostatic() and computes Cartesian3d::Deviatoric() More...

template<class T >
T	Deviatoric_ddot_deviatoric (const T *A)
	Double tensor contraction of the tensor's deviator. More...

template<class T >
T	Norm_deviatoric (const T *A)
	See Cartesian3d::Norm_deviatoric() More...

template<class T >
T	A2_ddot_B2 (const T A, const T B)
	See Cartesian3d::A2_ddot_B2() More...

template<class T >
T	A2s_ddot_B2s (const T A, const T B)
	See Cartesian3d::A2s_ddot_B2s() More...

template<class T >
void	A2_dyadic_B2 (const T A, const T B, T *ret)
	See Cartesian3d::A2_dyadic_B2() More...

template<class T >
void	A4_dot_B2 (const T A, const T B, T *ret)
	See Cartesian3d::A4_dot_B2() More...

template<class T >
void	A2_dot_B2 (const T A, const T B, T *ret)
	See Cartesian3d::A2_dot_B2() More...

template<class T >
void	A2_dot_A2T (const T A, T ret)
	See Cartesian3d::A2_dot_A2T() More...

template<class T >
void	A4_ddot_B2 (const T A, const T B, T *ret)
	See Cartesian3d::A4_ddot_B2() More...

template<class T >
void	A4_ddot_B4_ddot_C4 (const T A, const T B, const T C, T ret)
	Product. More...

template<class T >
void	A2_dot_B2_dot_C2T (const T A, const T B, const T C, T ret)
	Product. More...

template<class T >
void	eigs (const T A, T vec, T *val)
	Get eigenvalues/-vectors such that. More...

template<class T >
void	from_eigs (const T vec, const T val, T *ret)
	Reconstruct tensor from eigenvalues/-vectors (reverse operation of eigs()) Symmetric tensors only, no assertion. More...

template<class T >
void	logs (const T A, T ret)
	See Cartesian3d::Logs() More...

Detailed Description

API for individual tensors with pointer-only input.

No arrays of tensors are allowed, hence the input is fixed to:

Second order tensors, size = 3 * 3 = 9. Storage convention (xx, xy, xz, yx, yy, yz, zx, zy, zz).
Fourth order tensors, size = 3 * 3 * 3 * 3 = 81.

Function Documentation

◆ A2_ddot_B2()

template<class T >

T GMatTensor::Cartesian3d::pointer::A2_ddot_B2	(	const T *	A,
		const T *	B
	)

inline

See Cartesian3d::A2_ddot_B2()

Parameters

A	2nd order tensor
B	2nd order tensor

Returns: scalar

Definition at line 463 of file Cartesian3d.h.

◆ A2_dot_A2T()

template<class T >

void GMatTensor::Cartesian3d::pointer::A2_dot_A2T	(	const T *	A,
		T *	ret
	)

inline

See Cartesian3d::A2_dot_A2T()

Parameters

A	2nd order tensor
ret	output 2nd order tensor

Definition at line 558 of file Cartesian3d.h.

◆ A2_dot_B2()

template<class T >

void GMatTensor::Cartesian3d::pointer::A2_dot_B2	(	const T *	A,
		const T *	B,
		T *	ret
	)

inline

See Cartesian3d::A2_dot_B2()

Parameters

A	2nd order tensor
B	2nd order tensor
ret	output 2nd order tensor

Definition at line 538 of file Cartesian3d.h.

◆ A2_dot_B2_dot_C2T()

template<class T >

void GMatTensor::Cartesian3d::pointer::A2_dot_B2_dot_C2T	(	const T *	A,
		const T *	B,
		const T *	C,
		T *	ret
	)

inline

Product.

\( A \cdot B \cdot C^T \)

or in index notation

\( D_{il} = A_{ij} B_{jk} C_{lk} \)

Parameters

A	2nd order tensor
B	2nd order tensor
C	2nd order tensor
ret	output 2nd order tensor

Definition at line 650 of file Cartesian3d.h.

◆ A2_dyadic_B2()

template<class T >

void GMatTensor::Cartesian3d::pointer::A2_dyadic_B2	(	const T *	A,
		const T *	B,
		T *	ret
	)

inline

See Cartesian3d::A2_dyadic_B2()

Parameters

A	2nd order tensor
B	2nd order tensor
ret	output 4th order tensor

Definition at line 491 of file Cartesian3d.h.

◆ A2s_ddot_B2s()

template<class T >

T GMatTensor::Cartesian3d::pointer::A2s_ddot_B2s	(	const T *	A,
		const T *	B
	)

inline

See Cartesian3d::A2s_ddot_B2s()

Parameters

A	2nd order tensor
B	2nd order tensor

Returns: scalar

Definition at line 477 of file Cartesian3d.h.

◆ A4_ddot_B2()

template<class T >

void GMatTensor::Cartesian3d::pointer::A4_ddot_B2	(	const T *	A,
		const T *	B,
		T *	ret
	)

inline

See Cartesian3d::A4_ddot_B2()

Parameters

A	4th order tensor
B	2nd order tensor
ret	output 2nd order tensor

Definition at line 579 of file Cartesian3d.h.

◆ A4_ddot_B4_ddot_C4()

template<class T >

void GMatTensor::Cartesian3d::pointer::A4_ddot_B4_ddot_C4	(	const T *	A,
		const T *	B,
		const T *	C,
		T *	ret
	)

inline

Product.

\( A : B : C \)

or in index notation

\( D_{ijop} = A_{ijkl} B_{lkmn} C_{nmop} \)

Parameters

A	4th order tensor
B	4th order tensor
C	4th order tensor
ret	output 4th order tensor

Definition at line 609 of file Cartesian3d.h.

◆ A4_dot_B2()

template<class T >

void GMatTensor::Cartesian3d::pointer::A4_dot_B2	(	const T *	A,
		const T *	B,
		T *	ret
	)

inline

See Cartesian3d::A4_dot_B2()

Parameters

A	4th order tensor
B	2nd order tensor
ret	output 4th order tensor

Definition at line 512 of file Cartesian3d.h.

◆ Det()

template<class T >

T GMatTensor::Cartesian3d::pointer::Det ( const T * A )

inline

See Cartesian3d::Det()

Parameters

A	2nd order tensor

Returns: scalar

Definition at line 355 of file Cartesian3d.h.

◆ Deviatoric_ddot_deviatoric()

template<class T >

T GMatTensor::Cartesian3d::pointer::Deviatoric_ddot_deviatoric ( const T * A )

inline

Double tensor contraction of the tensor's deviator.

\( (dev(A))_{ij} (dev(A))_{ji} \)

Parameters

A	2nd order tensor

Returns: scalar

Definition at line 436 of file Cartesian3d.h.

◆ eigs()

template<class T >

void GMatTensor::Cartesian3d::pointer::eigs	(	const T *	A,
		T *	vec,
		T *	val
	)

Get eigenvalues/-vectors such that.

\( A_{ij} = \lambda^a v^a_i v^a_j \)

Symmetric tensors only, no assertion.

Parameters

A	2nd order tensor
vec	eigenvectors (storage as 2nd order tensor), \( v^a_i \) = `vec[i, a]`
val	eigenvalues (storage as vector), \( \lambda^a \) = `val[a]`

Definition at line 678 of file Cartesian3d.h.

◆ from_eigs()

template<class T >

void GMatTensor::Cartesian3d::pointer::from_eigs	(	const T *	vec,
		const T *	val,
		T *	ret
	)

Reconstruct tensor from eigenvalues/-vectors (reverse operation of eigs()) Symmetric tensors only, no assertion.

Parameters

vec	eigenvectors (storage as 2nd order tensor), \( v^a_i \) = `vec[i, a]`
val	eigenvalues (storage as vector), \( \lambda^a \) = `val[a]`
ret	2nd order tensor

Definition at line 705 of file Cartesian3d.h.

◆ Hydrostatic()

template<class T >

T GMatTensor::Cartesian3d::pointer::Hydrostatic ( const T * A )

inline

See Cartesian3d::Hydrostatic()

Parameters

A	2nd order tensor

Returns: scalar

Definition at line 343 of file Cartesian3d.h.

◆ Hydrostatic_deviatoric()

template<class T >

T GMatTensor::Cartesian3d::pointer::Hydrostatic_deviatoric	(	const T *	A,
		T *	ret
	)

inline

Returns Cartesian3d::Hydrostatic() and computes Cartesian3d::Deviatoric()

Parameters

A	2nd order tensor
ret	2nd order tensor, may be the same pointer as `A`

Returns: scalar

Definition at line 412 of file Cartesian3d.h.

◆ I2()

template<class T >

void GMatTensor::Cartesian3d::pointer::I2 ( T * ret )

inline

See Cartesian3d::I2()

Parameters

ret	output 2nd order tensor

Definition at line 205 of file Cartesian3d.h.

◆ I4()

template<class T >

void GMatTensor::Cartesian3d::pointer::I4 ( T * ret )

inline

See Cartesian3d::I4()

Parameters

ret	output 2nd order tensor

Definition at line 247 of file Cartesian3d.h.

◆ I4d()

template<class T >

void GMatTensor::Cartesian3d::pointer::I4d ( T * ret )

inline

See Cartesian3d::I4d()

Parameters

ret	output 2nd order tensor

Definition at line 311 of file Cartesian3d.h.

◆ I4rt()

template<class T >

void GMatTensor::Cartesian3d::pointer::I4rt ( T * ret )

inline

See Cartesian3d::I4rt()

Parameters

ret	output 2nd order tensor

Definition at line 270 of file Cartesian3d.h.

◆ I4s()

template<class T >

void GMatTensor::Cartesian3d::pointer::I4s ( T * ret )

inline

See Cartesian3d::I4s()

Parameters

ret	output 2nd order tensor

Definition at line 293 of file Cartesian3d.h.

◆ II()

template<class T >

void GMatTensor::Cartesian3d::pointer::II ( T * ret )

inline

See Cartesian3d::II()

Parameters

ret	output 2nd order tensor

Definition at line 224 of file Cartesian3d.h.

◆ Inv()

template<class T >

T GMatTensor::Cartesian3d::pointer::Inv	(	const T *	A,
		T *	ret
	)

inline

See Cartesian3d::Inv(), returns Cartesian3d::Det()

Parameters

A	2nd order tensor
ret	2nd order tensor

Returns: scalar

Definition at line 389 of file Cartesian3d.h.

◆ logs()

template<class T >

void GMatTensor::Cartesian3d::pointer::logs	(	const T *	A,
		T *	ret
	)

See Cartesian3d::Logs()

Parameters

A	2nd order tensor
ret	output 2nd order tensor

Definition at line 725 of file Cartesian3d.h.

◆ Norm_deviatoric()

template<class T >

T GMatTensor::Cartesian3d::pointer::Norm_deviatoric ( const T * A )

inline

See Cartesian3d::Norm_deviatoric()

Parameters

A	2nd order tensor

Returns: scalar

Definition at line 450 of file Cartesian3d.h.

◆ O2()

template<class T >

void GMatTensor::Cartesian3d::pointer::O2 ( T * ret )

inline

See Cartesian3d::O2()

Parameters

ret	output 2nd order tensor

Definition at line 183 of file Cartesian3d.h.

◆ O4()

template<class T >

void GMatTensor::Cartesian3d::pointer::O4 ( T * ret )

inline

See Cartesian3d::O4()

Parameters

ret	output 2nd order tensor

Definition at line 194 of file Cartesian3d.h.

◆ sym()

template<class T >

void GMatTensor::Cartesian3d::pointer::sym	(	const T *	A,
		T *	ret
	)

inline

See Cartesian3d::Sym()

Parameters

A	2nd order tensor
ret	2nd order tensor, may be the same pointer as `A`

Definition at line 368 of file Cartesian3d.h.

◆ Trace()

template<class T >

T GMatTensor::Cartesian3d::pointer::Trace ( const T * A )

inline

See Cartesian3d::Trace()

Parameters

A	2nd order tensor

Returns: scalar

Definition at line 331 of file Cartesian3d.h.

Functions

Detailed Description

Function Documentation

◆ A2_ddot_B2()

◆ A2_dot_A2T()

◆ A2_dot_B2()

◆ A2_dot_B2_dot_C2T()

◆ A2_dyadic_B2()

◆ A2s_ddot_B2s()

◆ A4_ddot_B2()

◆ A4_ddot_B4_ddot_C4()

◆ A4_dot_B2()

◆ Det()

◆ Deviatoric_ddot_deviatoric()

◆ eigs()

◆ from_eigs()

◆ Hydrostatic()

◆ Hydrostatic_deviatoric()

◆ I2()

◆ I4()

◆ I4d()

◆ I4rt()

◆ I4s()

◆ II()

◆ Inv()

◆ logs()

◆ Norm_deviatoric()

◆ O2()

◆ O4()

◆ sym()

◆ Trace()