Class managing a 3x3 real matrix. More...

#include <arccore/base/Real3x3.h>

Public Member Functions
constexpr __host__ __device__	Real3x3 ()
	Constructs the matrix with all coefficients zero.
constexpr __host__ __device__	Real3x3 (Real3 ax, Real3 ay, Real3 az)
	Constructs the matrix with rows (ax,ay,az).
	Real3x3 (const Real3x3 &f)=default
	Constructs a triplet identical to f.
constexpr __host__ __device__	Real3x3 (const Real3x3POD &f)
	Constructs a triplet identical to f.
constexpr __host__ __device__	Real3x3 (Real v)
	Constructs the instance with the triplet (v,v,v).
constexpr __host__ __device__	Real3x3 (ConstArrayView< Real > av)
	Constructs the triplet ((av[0], av[1], av[2]), (av[3], av[4], av[5]), (av[6], av[7], av[8])).
Real3x3 &	operator= (const Real3x3 &f)=default
	Copy assignment operator.
constexpr __host__ __device__ Real3x3 &	operator= (Real v)
	Assigns the triplet (v,v,v) to the instance.
constexpr __host__ __device__ Real3x3	copy () const
	Returns a copy of the matrix.
constexpr __host__ __device__ Real3x3 &	reset ()
	Resets the coefficients of the matrix to zero.
constexpr __host__ __device__ Real3x3 &	assign (Real3 ax, Real3 ay, Real3 az)
	Assigns the rows (ax,ay,az) to the instance.
constexpr __host__ __device__ Real3x3 &	assign (Real3x3 f)
	Copies matrix f.
constexpr __host__ __device__ ArrayView< Real >	view ()
constexpr __host__ __device__ ConstArrayView< Real >	constView () const
std::istream &	assign (std::istream &i)
	Reads the matrix from the stream i The matrix is read in the form of three Real3s.
std::ostream &	print (std::ostream &o) const
	Writes the triplet to the stream o readable by an assign().
std::ostream &	printXyz (std::ostream &o) const
	Writes the triplet to the stream o in the form (x,y,z).
constexpr __host__ __device__ Real3x3 &	add (Real3x3 b)
	Adds b to the triplet.
constexpr __host__ __device__ Real3x3 &	sub (Real3x3 b)
	Subtracts b from the triplet.
constexpr __host__ __device__ Real3x3 &	addSame (Real3 b)
	Adds b to each component of the triplet.
constexpr __host__ __device__ Real3x3 &	subSame (Real3 b)
	Subtracts b from each component of the triplet.
constexpr __host__ __device__ Real3x3 &	operator+= (Real3x3 b)
	Adds b to the triplet.
constexpr __host__ __device__ Real3x3 &	operator-= (Real3x3 b)
	Subtracts b from the triplet.
constexpr __host__ __device__ void	operator*= (Real b)
	Multiplies each component of the matrix by the real b.
constexpr __host__ __device__ void	operator/= (Real b)
	Divides each component of the matrix by the real b.
constexpr __host__ __device__ Real3x3	operator+ (Real3x3 b) const
	Creates a triplet that equals this triplet added to b.
constexpr __host__ __device__ Real3x3	operator- (Real3x3 b) const
	Creates a triplet that equals b subtracted from this triplet.
constexpr __host__ __device__ Real3x3	operator- () const
	Creates a tensor opposite to the current tensor.
constexpr __host__ __device__ bool	operator== (Real3x3 b) const
	Compares the current instance component by component to b.
constexpr __host__ __device__ bool	operator!= (Real3x3 b) const
	Compares two triplets. For the notion of equality, see operator==().
__host__ __device__ Real3	operator[] (Integer i) const
	Read-only access to the i-th (between 0 and 2 inclusive) row of the instance.
__host__ __device__ Real3	operator() (Integer i) const
	Read-only access to the i-th (between 0 and 2 inclusive) row of the instance.
__host__ __device__ Real	operator() (Integer i, Integer j) const
	Read-only access to the i-th row and j-th column.
__host__ __device__ Real3 &	operator[] (Integer i)
	Access to the i-th row (between 0 and 2 inclusive) of the instance.
__host__ __device__ Real3 &	operator() (Integer i)
	Access to the i-th row (between 0 and 2 inclusive) of the instance.
__host__ __device__ Real &	operator() (Integer i, Integer j)
	Access to the i-th row and j-th column.
constexpr __host__ __device__ Real	determinant () const
	Determinant of the matrix.
constexpr __host__ __device__ bool	isNearlyZero () const

Static Public Member Functions
constexpr __host__ static __device__ Real3x3	null ()
	Constructs the null tensor.
constexpr __host__ static __device__ Real3x3	zero ()
	Constructs the zero matrix.
constexpr __host__ static __device__ Real3x3	identity ()
	Constructs the identity matrix.
constexpr __host__ static __device__ Real3x3	fromColumns (Real ax, Real ay, Real az, Real bx, Real by, Real bz, Real cx, Real cy, Real cz)
	Constructs the matrix ((ax,bx,cx),(ay,by,cy),(az,bz,cz)).
constexpr __host__ static __device__ Real3x3	fromLines (Real ax, Real bx, Real cx, Real ay, Real by, Real cy, Real az, Real bz, Real cz)
	Constructs the matrix ((ax,bx,cx),(ay,by,cy),(az,bz,cz)).

Public Attributes
Real3	x
	first element of the triplet
Real3	y
	first element of the triplet
Real3	z
	first element of the triplet

Friends
std::ostream &	operator<< (std::ostream &o, Real3x3 t)
	Writes the triplet t to the stream o.
std::istream &	operator>> (std::istream &i, Real3x3 &t)
	Reads the triplet t from the stream o.
constexpr __host__ __device__ Real3x3	operator* (Real sca, Real3x3 vec)
	Multiplication by a scalar.
constexpr __host__ __device__ Real3x3	operator* (Real3x3 vec, Real sca)
	Multiplication by a scalar.
constexpr __host__ __device__ Real3x3	operator/ (Real3x3 vec, Real sca)
	Division by a scalar.
constexpr __host__ __device__ bool	operator< (Real3x3 v1, Real3x3 v2)
	Comparison operator.

Detailed Description

Class managing a 3x3 real matrix.

The matrix comprises three components x, y and z of type Real3. Each component represents a row of the matrix. Consequently, for a matrix m, m.y.z represents the 2nd row and the 3rd column of the matrix.

It is also possible to access the matrix elements like an array. For example m[1][2] represents the 2nd row and the 3rd column of the matrix.

Matrices can be constructed by row by specifying the values by row (fromLines()) or by specifying by column (fromColumns()).

For example:

Real3x3 matrix;
matrix.x.y = 2.0;
matrix.y.z = 3.0;
matrix.x.x = 5.0;

Definition at line 66 of file arccore/src/base/arccore/base/Real3x3.h.

Constructor & Destructor Documentation

◆ Real3x3() [1/5]

__host__ __device__ Arcane::Real3x3::Real3x3 ( )

inlineconstexpr

Constructs the matrix with all coefficients zero.

Definition at line 71 of file arccore/src/base/arccore/base/Real3x3.h.

References x, y, z, and zero().

Referenced by add(), addSame(), assign(), assign(), copy(), fromColumns(), fromLines(), identity(), null(), operator!=(), operator*, operator*, operator+(), operator+=(), operator-(), operator-(), operator-=(), operator/, operator<, operator<<, operator=(), operator=(), operator==(), operator>>, Real3x3(), reset(), sub(), subSame(), and zero().

◆ Real3x3() [2/5]

__host__ __device__ Arcane::Real3x3::Real3x3	(	Real3	ax,
		Real3	ay,
		Real3	az )

inlineconstexpr

Constructs the matrix with rows (ax,ay,az).

Definition at line 78 of file arccore/src/base/arccore/base/Real3x3.h.

References x, y, and z.

◆ Real3x3() [3/5]

__host__ __device__ Arcane::Real3x3::Real3x3 ( const Real3x3POD & f )

inlineexplicitconstexpr

Constructs a triplet identical to f.

Definition at line 100 of file arccore/src/base/arccore/base/Real3x3.h.

References x, y, and z.

◆ Real3x3() [4/5]

__host__ __device__ Arcane::Real3x3::Real3x3 ( Real v )

inlineexplicitconstexpr

Constructs the instance with the triplet (v,v,v).

Definition at line 107 of file arccore/src/base/arccore/base/Real3x3.h.

References x, y, and z.

◆ Real3x3() [5/5]

__host__ __device__ Arcane::Real3x3::Real3x3 ( ConstArrayView< Real > av )

inlineexplicitconstexpr

Constructs the triplet ((av[0], av[1], av[2]), (av[3], av[4], av[5]), (av[6], av[7], av[8])).

Definition at line 113 of file arccore/src/base/arccore/base/Real3x3.h.

References x, y, and z.

Member Function Documentation

◆ add()

__host__ __device__ Real3x3 & Arcane::Real3x3::add ( Real3x3 b )

inlineconstexpr

Adds b to the triplet.

Definition at line 215 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

Referenced by operator+=().

◆ addSame()

__host__ __device__ Real3x3 & Arcane::Real3x3::addSame ( Real3 b )

inlineconstexpr

Adds b to each component of the triplet.

Definition at line 233 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

◆ assign() [1/3]

__host__ __device__ Real3x3 & Arcane::Real3x3::assign	(	Real3	ax,
		Real3	ay,
		Real3	az )

inlineconstexpr

Assigns the rows (ax,ay,az) to the instance.

Definition at line 171 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

Referenced by operator>>.

◆ assign() [2/3]

__host__ __device__ Real3x3 & Arcane::Real3x3::assign ( Real3x3 f )

inlineconstexpr

Copies matrix f.

Definition at line 180 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

◆ assign() [3/3]

std::istream & Arcane::Real3x3::assign ( std::istream & i )

Reads the matrix from the stream i The matrix is read in the form of three Real3s.

Definition at line 28 of file arccore/src/base/arccore/base/Real3x3.cc.

References x, y, and z.

◆ constView()

__host__ __device__ ConstArrayView< Real > Arcane::Real3x3::constView ( ) const

inlineconstexpr

Returns a constant view over the nine elements of the matrix. [x.x, x.y, x.z, y.x, y.y, y.z, z.x, z.y, z.z]

Definition at line 197 of file arccore/src/base/arccore/base/Real3x3.h.

References x.

◆ copy()

__host__ __device__ Real3x3 Arcane::Real3x3::copy ( ) const

inlineconstexpr

Returns a copy of the matrix.

Definition at line 161 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3().

◆ determinant()

__host__ __device__ Real Arcane::Real3x3::determinant ( ) const

inlineconstexpr

Determinant of the matrix.

Definition at line 368 of file arccore/src/base/arccore/base/Real3x3.h.

References x, y, and z.

Referenced by Arcane::math::inverseMatrix(), and Arcane::math::matrixDeterminant().

◆ fromColumns()

__host__ static __device__ Real3x3 Arcane::Real3x3::fromColumns	(	Real	ax,
		Real	ay,
		Real	az,
		Real	bx,
		Real	by,
		Real	bz,
		Real	cx,
		Real	cy,
		Real	cz )

inlinestaticconstexpr

Constructs the matrix ((ax,bx,cx),(ay,by,cy),(az,bz,cz)).

Definition at line 147 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3().

Referenced by Arcane::math::matrix3x3Prod(), and Arcane::math::matrix3x3Transp().

◆ fromLines()

__host__ static __device__ Real3x3 Arcane::Real3x3::fromLines	(	Real	ax,
		Real	bx,
		Real	cx,
		Real	ay,
		Real	by,
		Real	cy,
		Real	az,
		Real	bz,
		Real	cz )

inlinestaticconstexpr

Constructs the matrix ((ax,bx,cx),(ay,by,cy),(az,bz,cz)).

Definition at line 153 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3().

Referenced by Arcane::math::matrixProduct().

◆ identity()

__host__ static __device__ Real3x3 Arcane::Real3x3::identity ( )

inlinestaticconstexpr

Constructs the identity matrix.

Definition at line 144 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3().

◆ isNearlyZero()

__host__ __device__ bool Arcane::Real3x3::isNearlyZero ( ) const

inlineconstexpr

Definition at line 52 of file MathReal3x3.h.

◆ null()

__host__ static __device__ Real3x3 Arcane::Real3x3::null ( )

inlinestaticconstexpr

Constructs the null tensor.

Definition at line 138 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3().

◆ operator!=()

__host__ __device__ bool Arcane::Real3x3::operator!= ( Real3x3 b ) const

inlineconstexpr

Compares two triplets. For the notion of equality, see operator==().

Return values

true	if the two triplets are different,
false	otherwise.

Definition at line 298 of file arccore/src/base/arccore/base/Real3x3.h.

References operator==(), and Real3x3().

◆ operator()() [1/4]

__host__ __device__ Real3 & Arcane::Real3x3::operator() ( Integer i )

inline

Access to the i-th row (between 0 and 2 inclusive) of the instance.

Parameters

i	row number to return

Definition at line 349 of file arccore/src/base/arccore/base/Real3x3.h.

References x.

◆ operator()() [2/4]

__host__ __device__ Real3 Arcane::Real3x3::operator() ( Integer i ) const

inline

Read-only access to the i-th (between 0 and 2 inclusive) row of the instance.

Parameters

i	row number to return

Definition at line 317 of file arccore/src/base/arccore/base/Real3x3.h.

References x.

◆ operator()() [3/4]

__host__ __device__ Real & Arcane::Real3x3::operator()	(	Integer	i,
		Integer	j )

inline

Access to the i-th row and j-th column.

Parameters

i	row number to return
j	column number to return

Definition at line 360 of file arccore/src/base/arccore/base/Real3x3.h.

References x.

◆ operator()() [4/4]

__host__ __device__ Real Arcane::Real3x3::operator()	(	Integer	i,
		Integer	j ) const

inline

Read-only access to the i-th row and j-th column.

Parameters

i	row number to return
j	column number to return

Definition at line 328 of file arccore/src/base/arccore/base/Real3x3.h.

References x.

◆ operator*=()

__host__ __device__ void Arcane::Real3x3::operator*= ( Real b )

inlineconstexpr

Multiplies each component of the matrix by the real b.

Definition at line 257 of file arccore/src/base/arccore/base/Real3x3.h.

References x, y, and z.

◆ operator+()

__host__ __device__ Real3x3 Arcane::Real3x3::operator+ ( Real3x3 b ) const

inlineconstexpr

Creates a triplet that equals this triplet added to b.

Definition at line 273 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

◆ operator+=()

__host__ __device__ Real3x3 & Arcane::Real3x3::operator+= ( Real3x3 b )

inlineconstexpr

Adds b to the triplet.

Definition at line 251 of file arccore/src/base/arccore/base/Real3x3.h.

References add(), and Real3x3().

◆ operator-() [1/2]

__host__ __device__ Real3x3 Arcane::Real3x3::operator- ( ) const

inlineconstexpr

Creates a tensor opposite to the current tensor.

Definition at line 279 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

◆ operator-() [2/2]

__host__ __device__ Real3x3 Arcane::Real3x3::operator- ( Real3x3 b ) const

inlineconstexpr

Creates a triplet that equals b subtracted from this triplet.

Definition at line 276 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

◆ operator-=()

__host__ __device__ Real3x3 & Arcane::Real3x3::operator-= ( Real3x3 b )

inlineconstexpr

Subtracts b from the triplet.

Definition at line 254 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), and sub().

◆ operator/=()

__host__ __device__ void Arcane::Real3x3::operator/= ( Real b )

inlineconstexpr

Divides each component of the matrix by the real b.

Definition at line 265 of file arccore/src/base/arccore/base/Real3x3.h.

References x, y, and z.

◆ operator=()

__host__ __device__ Real3x3 & Arcane::Real3x3::operator= ( Real v )

inlineconstexpr

Assigns the triplet (v,v,v) to the instance.

Definition at line 123 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

◆ operator==()

__host__ __device__ bool Arcane::Real3x3::operator== ( Real3x3 b ) const

inlineconstexpr

Compares the current instance component by component to b.

Return values

true	if this.x==b.x and this.y==b.y and this.z==b.z.
false	otherwise.

Definition at line 287 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

Referenced by operator!=().

◆ operator[]() [1/2]

__host__ __device__ Real3 & Arcane::Real3x3::operator[] ( Integer i )

inline

Access to the i-th row (between 0 and 2 inclusive) of the instance.

Parameters

i	row number to return

Definition at line 339 of file arccore/src/base/arccore/base/Real3x3.h.

References x.

◆ operator[]() [2/2]

__host__ __device__ Real3 Arcane::Real3x3::operator[] ( Integer i ) const

inline

Read-only access to the i-th (between 0 and 2 inclusive) row of the instance.

Parameters

i	row number to return

Definition at line 307 of file arccore/src/base/arccore/base/Real3x3.h.

References x.

◆ print()

std::ostream & Arcane::Real3x3::print ( std::ostream & o ) const

Writes the triplet to the stream o readable by an assign().

Definition at line 38 of file arccore/src/base/arccore/base/Real3x3.cc.

References x, y, and z.

◆ printXyz()

std::ostream & Arcane::Real3x3::printXyz ( std::ostream & o ) const

Writes the triplet to the stream o in the form (x,y,z).

Definition at line 48 of file arccore/src/base/arccore/base/Real3x3.cc.

References x, y, and z.

Referenced by operator<<.

◆ reset()

__host__ __device__ Real3x3 & Arcane::Real3x3::reset ( )

inlineconstexpr

Resets the coefficients of the matrix to zero.

Definition at line 164 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), and zero().

◆ sub()

__host__ __device__ Real3x3 & Arcane::Real3x3::sub ( Real3x3 b )

inlineconstexpr

Subtracts b from the triplet.

Definition at line 224 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

Referenced by operator-=().

◆ subSame()

__host__ __device__ Real3x3 & Arcane::Real3x3::subSame ( Real3 b )

inlineconstexpr

Subtracts b from each component of the triplet.

Definition at line 242 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

◆ view()

__host__ __device__ ArrayView< Real > Arcane::Real3x3::view ( )

inlineconstexpr

Returns a view over the nine elements of the matrix. [x.x, x.y, x.z, y.x, y.y, y.z, z.x, z.y, z.z]

Definition at line 190 of file arccore/src/base/arccore/base/Real3x3.h.

References x.

◆ zero()

__host__ static __device__ Real3x3 Arcane::Real3x3::zero ( )

inlinestaticconstexpr

Constructs the zero matrix.

Definition at line 141 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3().

Referenced by Arcane::DataTypeTraitsT< Real3x3 >::defaultValue(), Real3x3(), and reset().

◆ operator* [1/2]

__host__ __device__ Real3x3 operator*	(	Real	sca,
		Real3x3	vec )

friend

Multiplication by a scalar.

Definition at line 386 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

◆ operator* [2/2]

__host__ __device__ Real3x3 operator*	(	Real3x3	vec,
		Real	sca )

friend

Multiplication by a scalar.

Definition at line 392 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

◆ operator/

__host__ __device__ Real3x3 operator/	(	Real3x3	vec,
		Real	sca )

friend

Division by a scalar.

Definition at line 398 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

◆ operator<

__host__ __device__ bool operator<	(	Real3x3	v1,
		Real3x3	v2 )

friend

Comparison operator.

This operator allows sorting Real3s for example in std::set

Definition at line 409 of file arccore/src/base/arccore/base/Real3x3.h.

References Real3x3(), x, y, and z.

◆ operator<<

std::ostream & operator<<	(	std::ostream &	o,
		Real3x3	t )

friend

Writes the triplet t to the stream o.

Definition at line 374 of file arccore/src/base/arccore/base/Real3x3.h.

References printXyz(), and Real3x3().

◆ operator>>

std::istream & operator>>	(	std::istream &	i,
		Real3x3 &	t )

friend

Reads the triplet t from the stream o.

Definition at line 380 of file arccore/src/base/arccore/base/Real3x3.h.

References assign(), and Real3x3().

Member Data Documentation

◆ x

Real3 Arcane::Real3x3::x

first element of the triplet

Definition at line 131 of file arccore/src/base/arccore/base/Real3x3.h.

Referenced by add(), Arcane::Real3x3Proxy::add(), addSame(), assign(), assign(), assign(), Arcane::Real3x3Proxy::assign(), Arcane::GeometricUtilities::QuadMapping::cartesianToIso(), constView(), determinant(), Arcane::math::doubleContraction(), Arcane::math::inverseMatrix(), Arcane::math::isNearlyId(), Arcane::math::isNearlyZero(), Arcane::math::matrix3x3Prod(), Arcane::math::matrix3x3Transp(), Arcane::math::matrixProduct(), Arcane::math::matrixTranspose(), Arcane::math::max(), Arcane::math::min(), Arcane::math::multiply(), operator()(), operator()(), operator()(), operator()(), operator*, operator*, operator*=(), operator+(), Arcane::Real3x3Proxy::operator+(), operator-(), operator-(), Arcane::Real3x3Proxy::operator-(), operator/, operator/=(), operator<, operator=(), operator==(), operator[](), operator[](), print(), printXyz(), Arcane::math::prodTensVec(), Arcane::math::prodVecTens(), Real3x3(), Real3x3(), Real3x3(), Real3x3(), Real3x3(), Arcane::math::relativeError(), sub(), Arcane::Real3x3Proxy::sub(), subSame(), Arcane::math::transpose(), and view().

◆ y

Real3 Arcane::Real3x3::y

first element of the triplet

Definition at line 132 of file arccore/src/base/arccore/base/Real3x3.h.

Referenced by add(), Arcane::Real3x3Proxy::add(), addSame(), assign(), assign(), assign(), Arcane::Real3x3Proxy::assign(), Arcane::GeometricUtilities::QuadMapping::cartesianToIso(), determinant(), Arcane::math::doubleContraction(), Arcane::math::inverseMatrix(), Arcane::math::isNearlyId(), Arcane::math::isNearlyZero(), Arcane::math::matrix3x3Prod(), Arcane::math::matrix3x3Transp(), Arcane::math::matrixProduct(), Arcane::math::matrixTranspose(), Arcane::math::max(), Arcane::math::min(), Arcane::math::multiply(), operator*, operator*, operator*=(), operator+(), Arcane::Real3x3Proxy::operator+(), operator-(), operator-(), Arcane::Real3x3Proxy::operator-(), operator/, operator/=(), operator<, operator=(), operator==(), print(), printXyz(), Arcane::math::prodTensVec(), Arcane::math::prodVecTens(), Real3x3(), Real3x3(), Real3x3(), Real3x3(), Real3x3(), Arcane::math::relativeError(), sub(), Arcane::Real3x3Proxy::sub(), subSame(), and Arcane::math::transpose().

◆ z

Real3 Arcane::Real3x3::z

first element of the triplet

Definition at line 133 of file arccore/src/base/arccore/base/Real3x3.h.

Referenced by add(), Arcane::Real3x3Proxy::add(), addSame(), assign(), assign(), assign(), Arcane::Real3x3Proxy::assign(), Arcane::GeometricUtilities::QuadMapping::cartesianToIso(), determinant(), Arcane::math::doubleContraction(), Arcane::math::inverseMatrix(), Arcane::math::isNearlyId(), Arcane::math::isNearlyZero(), Arcane::math::matrix3x3Prod(), Arcane::math::matrix3x3Transp(), Arcane::math::matrixProduct(), Arcane::math::matrixTranspose(), Arcane::math::max(), Arcane::math::min(), Arcane::math::multiply(), operator*, operator*, operator*=(), operator+(), Arcane::Real3x3Proxy::operator+(), operator-(), operator-(), Arcane::Real3x3Proxy::operator-(), operator/, operator/=(), operator<, operator=(), operator==(), print(), printXyz(), Arcane::math::prodTensVec(), Arcane::math::prodVecTens(), Real3x3(), Real3x3(), Real3x3(), Real3x3(), Real3x3(), Arcane::math::relativeError(), sub(), Arcane::Real3x3Proxy::sub(), subSame(), and Arcane::math::transpose().

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

Public Member Functions

Static Public Member Functions

Public Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ Real3x3() [1/5]

◆ Real3x3() [2/5]

◆ Real3x3() [3/5]

◆ Real3x3() [4/5]

◆ Real3x3() [5/5]

Member Function Documentation

◆ add()

◆ addSame()

◆ assign() [1/3]

◆ assign() [2/3]

◆ assign() [3/3]

◆ constView()

◆ copy()

◆ determinant()

◆ fromColumns()

◆ fromLines()

◆ identity()

◆ isNearlyZero()

◆ null()

◆ operator!=()

◆ operator()() [1/4]

◆ operator()() [2/4]

◆ operator()() [3/4]

◆ operator()() [4/4]

◆ operator*=()

◆ operator+()

◆ operator+=()

◆ operator-() [1/2]

◆ operator-() [2/2]

◆ operator-=()

◆ operator/=()

◆ operator=()

◆ operator==()

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ print()

◆ printXyz()

◆ reset()

◆ sub()

◆ subSame()

◆ view()

◆ zero()

Friends And Related Symbol Documentation

◆ operator* [1/2]

◆ operator* [2/2]

◆ operator/

◆ operator<

◆ operator<<

◆ operator>>

Member Data Documentation

◆ x

◆ y

◆ z