Tensor.h File Reference

Generic tensor of the 2nd order. More...

#include "objects/geometry/SymmetricTensor.h"

Go to the source code of this file.

Classes
class	Tensor
	Generic 2nd-order tensor with 9 independent components. More...

Functions
template<>
INLINE AffineMatrix	convert (const Tensor &t)
template<>
INLINE Tensor	convert (const AffineMatrix &t)
template<>
INLINE Tensor	convert (const SymmetricTensor &t)
INLINE SymmetricTensor	symmetrize (const Tensor &t)
	Computes a symmetrized tensor 1/2*(t + t^T) More...
INLINE Tensor	outer (const Vector &r1, const Vector &r2)
	Outer product. More...
INLINE bool	almostEqual (const Tensor &t1, const Tensor &t2, const Float eps=EPS)
	Checks if two tensors are equal to some given accuracy. More...
template<>
INLINE Float	norm (const Tensor &t)
template<>
INLINE Float	normSqr (const Tensor &t)
	Arbitrary squared norm of the tensor. More...
template<>
INLINE auto	abs (const Tensor &t)
	Returns the tensor of absolute values. More...
template<>
INLINE Float	minElement (const Tensor &t)
	Returns the minimal element of the tensor. More...
template<>
INLINE Float	maxElement (const Tensor &t)
	Returns the maximal element of the tensor. More...
template<>
INLINE Tensor	min (const Tensor &t1, const Tensor &t2)
	Component-wise minimum of two tensors. More...
template<>
INLINE Tensor	max (const Tensor &t1, const Tensor &t2)
	Component-wise maximum of two tensors. More...
template<>
INLINE Tensor	clamp (const Tensor &t, const Interval &range)
	Clamping all components by range. More...
template<>
INLINE bool	isReal (const Tensor &t)
template<>
INLINE StaticArray< Float, 6 >	getComponents (const Tensor &)

Detailed Description

Generic tensor of the 2nd order.

Author

Pavel Sevecek (sevecek at sirrah.troja.mff.cuni.cz)

Date

2016-2021

Definition in file Tensor.h.

Function Documentation

abs()

template<>

INLINE auto abs

(

const Tensor &

t

)

Returns the tensor of absolute values.

Definition at line 211 of file Tensor.h.

almostEqual()

INLINE bool almostEqual	(	const Tensor &	t1,
		const Tensor &	t2,
		const Float	eps = EPS
	)

Checks if two tensors are equal to some given accuracy.

Definition at line 188 of file Tensor.h.

clamp()

template<>

INLINE Tensor clamp	(	const Tensor &	t,
		const Interval &	range
	)

Clamping all components by range.

Definition at line 241 of file Tensor.h.

convert() [1/3]

template<>

INLINE Tensor convert

(

const AffineMatrix &

t

)

Definition at line 167 of file Tensor.h.

convert() [2/3]

template<>

INLINE Tensor convert

(

const SymmetricTensor &

t

)

Definition at line 172 of file Tensor.h.

convert() [3/3]

template<>

INLINE AffineMatrix convert

(

const Tensor &

t

)

Definition at line 162 of file Tensor.h.

getComponents()

template<>

INLINE StaticArray<Float, 6> getComponents

(

const Tensor &

)

Definition at line 251 of file Tensor.h.

isReal()

template<>

INLINE bool isReal

(

const Tensor &

t

)

Definition at line 246 of file Tensor.h.

max()

template<>

INLINE Tensor max	(	const Tensor &	t1,
		const Tensor &	t2
	)

Component-wise maximum of two tensors.

Definition at line 235 of file Tensor.h.

maxElement()

template<>

INLINE Float maxElement

(

const Tensor &

t

)

Returns the maximal element of the tensor.

Definition at line 223 of file Tensor.h.

min()

template<>

INLINE Tensor min	(	const Tensor &	t1,
		const Tensor &	t2
	)

Component-wise minimum of two tensors.

Definition at line 229 of file Tensor.h.

minElement()

template<>

INLINE Float minElement

(

const Tensor &

t

)

Returns the minimal element of the tensor.

Definition at line 217 of file Tensor.h.

norm()

template<>

INLINE Float norm

(

const Tensor &

t

)

Arbitrary norm of the tensor.

Todo:

Use some well-defined norm instead? (spectral norm, L1 or L2 norm, ...)

Definition at line 196 of file Tensor.h.

normSqr()

template<>

INLINE Float normSqr

(

const Tensor &

t

)

Arbitrary squared norm of the tensor.

Definition at line 204 of file Tensor.h.

outer()

INLINE Tensor outer	(	const Vector &	r1,
		const Vector &	r2
	)

Outer product.

Definition at line 183 of file Tensor.h.

symmetrize()

INLINE SymmetricTensor symmetrize

(

const Tensor &

t

)

Computes a symmetrized tensor 1/2*(t + t^T)

Definition at line 177 of file Tensor.h.