Array of tensors: More...

#include <GMatTensor/Cartesian3d.h>

Public Member Functions
	Array (const std::array< size_t, N > &shape)
	Constructor. More...

const std::array< size_t, N > &	shape () const
	Shape of the array (of scalars). More...

const std::array< size_t, N+2 > &	shape_tensor2 () const
	Shape of the array of second-order tensors. More...

const std::array< size_t, N+4 > &	shape_tensor4 () const
	Shape of the array of fourth-order tensors. More...

array_type::tensor< double, N+2 >	O2 () const
	Array of Cartesian3d::O2() More...

array_type::tensor< double, N+4 >	O4 () const
	Array of Cartesian3d::O4() More...

array_type::tensor< double, N+2 >	I2 () const
	Array of Cartesian3d::I2() More...

array_type::tensor< double, N+4 >	II () const
	Array of Cartesian3d::II() More...

array_type::tensor< double, N+4 >	I4 () const
	Array of Cartesian3d::I4() More...

array_type::tensor< double, N+4 >	I4rt () const
	Array of Cartesian3d::I4rt() More...

array_type::tensor< double, N+4 >	I4s () const
	Array of Cartesian3d::I4s() More...

array_type::tensor< double, N+4 >	I4d () const
	Array of Cartesian3d::I4d() More...

Static Public Attributes
static constexpr std::size_t	rank = N
	Rank of the array (the actual rank is increased with the tensor-rank). More...

Protected Member Functions
void	init (const std::array< size_t, N > &shape)
	Constructor 'alias'. More...

Protected Attributes
size_t	m_size
	Size of the array (of scalars) == prod(m_shape). More...

std::array< size_t, N >	m_shape
	Shape of the array (of scalars). More...

std::array< size_t, N+2 >	m_shape_tensor2
	Shape of an array of 2nd-order tensors == [m_shape, 3, 3]. More...

std::array< size_t, N+4 >	m_shape_tensor4
	Shape of an array of 4th-order tensors == [m_shape, 3, 3, 3, 3]. More...

Static Protected Attributes
static constexpr size_t	m_ndim = 3
	Number of dimensions of tensors. More...

static constexpr size_t	m_stride_tensor2 = 9
	Storage stride for 2nd-order tensors ( \( 3^2 \)). More...

static constexpr size_t	m_stride_tensor4 = 81
	Storage stride for 4th-order tensors ( \( 3^4 \)). More...

Detailed Description

template<size_t N>
class GMatTensor::Cartesian3d::Array< N >

Array of tensors:

scalars: shape [...].
2nd-order tensors: shape [..., 3, 3].
4nd-order tensors: shape [..., 3, 3, 3, 3].

Template Parameters

N	The rank of the array (the actual rank is increased with the tensor-rank).

Definition at line 1467 of file Cartesian3d.h.

Constructor & Destructor Documentation

◆ Array()

template<size_t N>

GMatTensor::Cartesian3d::Array< N >::Array ( const std::array< size_t, N > & shape )

inline

Constructor.

Parameters

shape The shape of the array (or scalars).

Definition at line 1483 of file Cartesian3d.h.

Member Function Documentation

◆ I2()

template<size_t N>

array_type::tensor< double, N+2 > GMatTensor::Cartesian3d::Array< N >::I2 ( ) const

inline

Array of Cartesian3d::I2()

Returns: [shape(), 3, 3]

Definition at line 1543 of file Cartesian3d.h.

◆ I4()

template<size_t N>

array_type::tensor< double, N+4 > GMatTensor::Cartesian3d::Array< N >::I4 ( ) const

inline

Array of Cartesian3d::I4()

Returns: [shape(), 3, 3, 3, 3]

Definition at line 1577 of file Cartesian3d.h.

◆ I4d()

template<size_t N>

array_type::tensor< double, N+4 > GMatTensor::Cartesian3d::Array< N >::I4d ( ) const

inline

Array of Cartesian3d::I4d()

Returns: [shape(), 3, 3, 3, 3]

Definition at line 1628 of file Cartesian3d.h.

◆ I4rt()

template<size_t N>

array_type::tensor< double, N+4 > GMatTensor::Cartesian3d::Array< N >::I4rt ( ) const

inline

Array of Cartesian3d::I4rt()

Returns: [shape(), 3, 3, 3, 3]

Definition at line 1594 of file Cartesian3d.h.

◆ I4s()

template<size_t N>

array_type::tensor< double, N+4 > GMatTensor::Cartesian3d::Array< N >::I4s ( ) const

inline

Array of Cartesian3d::I4s()

Returns: [shape(), 3, 3, 3, 3]

Definition at line 1611 of file Cartesian3d.h.

◆ II()

template<size_t N>

array_type::tensor< double, N+4 > GMatTensor::Cartesian3d::Array< N >::II ( ) const

inline

Array of Cartesian3d::II()

Returns: [shape(), 3, 3, 3, 3]

Definition at line 1560 of file Cartesian3d.h.

◆ init()

template<size_t N>

void GMatTensor::Cartesian3d::Array< N >::init ( const std::array< size_t, N > & shape )

inlineprotected

Constructor 'alias'.

Can be used by constructor of derived classes.

Parameters

shape The shape of the array (or scalars).

Definition at line 1646 of file Cartesian3d.h.

◆ O2()

template<size_t N>

array_type::tensor< double, N+2 > GMatTensor::Cartesian3d::Array< N >::O2 ( ) const

inline

Array of Cartesian3d::O2()

Returns: [shape(), 3, 3]

Definition at line 1523 of file Cartesian3d.h.

◆ O4()

template<size_t N>

array_type::tensor< double, N+4 > GMatTensor::Cartesian3d::Array< N >::O4 ( ) const

inline

Array of Cartesian3d::O4()

Returns: [shape(), 3, 3, 3, 3]

Definition at line 1533 of file Cartesian3d.h.

◆ shape()

template<size_t N>

const std::array< size_t, N > & GMatTensor::Cartesian3d::Array< N >::shape ( ) const

inline

Shape of the array (of scalars).

Returns: List of size rank.

Definition at line 1493 of file Cartesian3d.h.

◆ shape_tensor2()

template<size_t N>

const std::array< size_t, N+2 > & GMatTensor::Cartesian3d::Array< N >::shape_tensor2 ( ) const

inline

Shape of the array of second-order tensors.

Returns: List of size rank + 2.

Definition at line 1503 of file Cartesian3d.h.

◆ shape_tensor4()

template<size_t N>

const std::array< size_t, N+4 > & GMatTensor::Cartesian3d::Array< N >::shape_tensor4 ( ) const

inline

Shape of the array of fourth-order tensors.

Returns: List of size rank + 4.

Definition at line 1513 of file Cartesian3d.h.

Member Data Documentation

◆ m_ndim

template<size_t N>

constexpr size_t GMatTensor::Cartesian3d::Array< N >::m_ndim = 3

staticconstexprprotected

Number of dimensions of tensors.

Definition at line 1658 of file Cartesian3d.h.

◆ m_shape

template<size_t N>

std::array<size_t, N> GMatTensor::Cartesian3d::Array< N >::m_shape

protected

Shape of the array (of scalars).

Definition at line 1670 of file Cartesian3d.h.

◆ m_shape_tensor2

template<size_t N>

std::array<size_t, N + 2> GMatTensor::Cartesian3d::Array< N >::m_shape_tensor2

protected

Shape of an array of 2nd-order tensors == [m_shape, 3, 3].

Definition at line 1673 of file Cartesian3d.h.

◆ m_shape_tensor4

template<size_t N>

std::array<size_t, N + 4> GMatTensor::Cartesian3d::Array< N >::m_shape_tensor4

protected

Shape of an array of 4th-order tensors == [m_shape, 3, 3, 3, 3].

Definition at line 1676 of file Cartesian3d.h.

◆ m_size

template<size_t N>

size_t GMatTensor::Cartesian3d::Array< N >::m_size

protected

Size of the array (of scalars) == prod(m_shape).

Definition at line 1667 of file Cartesian3d.h.

◆ m_stride_tensor2

template<size_t N>

constexpr size_t GMatTensor::Cartesian3d::Array< N >::m_stride_tensor2 = 9

staticconstexprprotected

Storage stride for 2nd-order tensors ( \( 3^2 \)).

Definition at line 1661 of file Cartesian3d.h.

◆ m_stride_tensor4

template<size_t N>

constexpr size_t GMatTensor::Cartesian3d::Array< N >::m_stride_tensor4 = 81

staticconstexprprotected

Storage stride for 4th-order tensors ( \( 3^4 \)).

Definition at line 1664 of file Cartesian3d.h.

◆ rank

template<size_t N>

constexpr std::size_t GMatTensor::Cartesian3d::Array< N >::rank = N

staticconstexpr

Rank of the array (the actual rank is increased with the tensor-rank).

Definition at line 1472 of file Cartesian3d.h.

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

GMatTensor/Cartesian3d.h

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Static Protected Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Array()

Member Function Documentation

◆ I2()

◆ I4()

◆ I4d()

◆ I4rt()

◆ I4s()

◆ II()

◆ init()

◆ O2()

◆ O4()

◆ shape()

◆ shape_tensor2()

◆ shape_tensor4()

Member Data Documentation

◆ m_ndim

◆ m_shape

◆ m_shape_tensor2

◆ m_shape_tensor4

◆ m_size

◆ m_stride_tensor2

◆ m_stride_tensor4

◆ rank