Functions
__host__ __device__ Real3	Arcane::math::vecMul (Real3 u, Real3 v)
	Vector cross product of u by v in \(R^3\).
__host__ __device__ Real	Arcane::math::vecMul2D (Real3 u, Real3 v)
	Vector cross product of u by v in \(R^2\).
__host__ __device__ Real	Arcane::math::cross2D (Real3 u, Real3 v)
	Vector cross product of u by v in \(R^2\).
__host__ __device__ Real	Arcane::math::dot (Real2 u, Real2 v)
	Dot product of u by v in \(R^2\).
__host__ __device__ Real	Arcane::math::scaMul (Real2 u, Real2 v)
	Dot product of u by v in \(R^2\).
__host__ __device__ Real	Arcane::math::dot (Real3 u, Real3 v)
	Dot product of u by v.
__host__ __device__ Real	Arcane::math::scaMul (Real3 u, Real3 v)
	Dot product of u by v.
__host__ __device__ Real	Arcane::math::mixteMul (Real3 u, Real3 v, Real3 w)
	Mixed product of u, v and w.
Real3x3	Arcane::math::prodTens (Real3 u, Real3 v)
	Tensor product of two Real3 vectors.
__host__ __device__ Real3	Arcane::math::prodTensVec (Real3x3 t, Real3 v)
	Matrix-vector product between a tensor and a vector.
__host__ __device__ Real3	Arcane::math::prodVecTens (Real3 v, Real3x3 t)
	Transposed(vector) matrix product between the transpose of a vector and a matrix.
__host__ __device__ Real3x3	Arcane::math::matrixProduct (const Real3x3 &t, const Real3x3 &v)
	Matrix-matrix product between two tensors.
__host__ __device__ Real3x3	Arcane::math::matrixTranspose (const Real3x3 &t)
	Transpose the matrix.
__host__ __device__ Real2	Arcane::math::min (Real2 a, Real2 b)
	Returns the minimum of two Real2.
__host__ __device__ Real3	Arcane::math::min (Real3 a, Real3 b)
	Returns the minimum of two Real3s.
__host__ __device__ Real2x2	Arcane::math::min (const Real2x2 &a, const Real2x2 &b)
	Returns the minimum of two Real2x2s.
__host__ __device__ Real3x3	Arcane::math::min (const Real3x3 &a, const Real3x3 &b)
	Returns the minimum of two Real3x3s.
template<class T>
T	Arcane::math::min (const T &a, const T &b, const T &c)
	Returns the minimum of three elements.
template<class T>
T	Arcane::math::max (const T &a, const T &b, const T &c)
	Returns the maximum of three elements.
__host__ __device__ Real2	Arcane::math::max (Real2 a, Real2 b)
	Returns the maximum of two Real2s.
__host__ __device__ Real3	Arcane::math::max (Real3 a, Real3 b)
	Returns the maximum of two Real3s.
__host__ __device__ Real2x2	Arcane::math::max (const Real2x2 &a, const Real2x2 &b)
	Returns the maximum of two Real2x2s.
__host__ __device__ Real3x3	Arcane::math::max (const Real3x3 &a, const Real3x3 &b)
	Returns the maximum of two Real3x3s.
__host__ __device__ Real	Arcane::math::minMod (Real a, Real b, Real c, Real d)
	Returns the Min mod of four Reals.
__host__ __device__ Real	Arcane::math::minMod2 (Real a, Real b)
	Returns the Min mod of two Reals.
__host__ __device__ Real	Arcane::math::maxMod2 (Real a, Real b)
	Returns the Max mod of two Reals.
__host__ __device__ Real3	Arcane::math::cross (Real3 v1, Real3 v2)
	Cross product of two 3-component vectors.
__host__ __device__ Real3	Arcane::math::normalizeReal3 (Real3 v)
	Normalization of a Real3.
Real3	Arcane::math::normalizedCrossProduct3 (Real3 v1, Real3 v2)
	Normalized cross product.
Real3x3	Arcane::math::matrix3x3Transp (Real3x3 m)
Real3	Arcane::math::planarSymmetric (Real3 u, Real3 n)
	Symmetry of a vector u with respect to a normal plane n.
Real3	Arcane::math::axisSymmetric (Real3 u, Real3 a)
	Symmetry of a vector u with respect to an axis defined by direction vector a.
SimdReal3x3	Arcane::math::matrixProduct (const SimdReal3x3 &t, const SimdReal3x3 &v)
	Matrix-matrix product between two tensors.
SimdReal3x3	Arcane::math::matrixTranspose (const SimdReal3x3 &t)
	Transpose the matrix.
__host__ __device__ SimdReal2	Arcane::math::min (const SimdReal2 &a, const SimdReal2 &b)
	Returns the minimum of two SimdReal2.
__host__ __device__ SimdReal3	Arcane::math::min (const SimdReal3 &a, const SimdReal3 &b)
	Returns the minimum of two SimdReal3.
SimdReal2x2	Arcane::math::min (const SimdReal2x2 &a, const SimdReal2x2 &b)
	Returns the minimum of two SimdReal2x2.
SimdReal3x3	Arcane::math::min (const SimdReal3x3 &a, const SimdReal3x3 &b)
	Returns the minimum of two SimdReal3x3.
__host__ __device__ SimdReal2	Arcane::math::max (const SimdReal2 &a, const SimdReal2 &b)
	Returns the maximum of two SimdReal2.
__host__ __device__ SimdReal3	Arcane::math::max (const SimdReal3 &a, const SimdReal3 &b)
	Returns the maximum of two SimdReal3.
SimdReal2x2	Arcane::math::max (const SimdReal2x2 &a, const SimdReal2x2 &b)
	Returns the maximum of two SimdReal2x2.
SimdReal3x3	Arcane::math::max (const SimdReal3x3 &a, const SimdReal3x3 &b)
	Returns the maximum of two SimdReal3x3.
template<class T>
__host__ __device__ T	Arcane::math::min (const T &a, const T &b)
	Returns the minimum of two elements.
__host__ __device__ long double	Arcane::math::min (long double a, long double b)
	Returns the minimum of two real numbers.
__host__ __device__ long double	Arcane::math::min (double a, long double b)
	Returns the minimum of two real numbers.
__host__ __device__ long double	Arcane::math::min (long double a, double b)
	Returns the minimum of two real numbers.
__host__ __device__ double	Arcane::math::min (double a, double b)
	Returns the minimum of two real numbers.
__host__ __device__ float	Arcane::math::min (float a, float b)
	Returns the minimum of two real numbers.
__host__ __device__ int	Arcane::math::min (int a, int b)
	Returns the minimum of two integers.
template<class T>
__host__ __device__ T	Arcane::math::max (const T &a, const T &b)
	Returns the maximum of two elements.
__host__ __device__ long double	Arcane::math::max (long double a, long double b)
	Returns the maximum of two real numbers.
__host__ __device__ long double	Arcane::math::max (double a, long double b)
	Returns the maximum of two real numbers.
__host__ __device__ long double	Arcane::math::max (long double a, double b)
	Returns the maximum of two real numbers.
__host__ __device__ unsigned long	Arcane::math::max (unsigned long a, unsigned long b)
	Returns the maximum of two integers.
__host__ __device__ double	Arcane::math::max (double a, double b)
	Returns the maximum of two real numbers.
__host__ __device__ float	Arcane::math::max (float a, float b)
	Returns the maximum of two real numbers.
__host__ __device__ Int16	Arcane::math::max (Int16 a, Int16 b)
	Returns the maximum of two Int16.
__host__ __device__ Int32	Arcane::math::max (Int32 a, Int32 b)
	Returns the maximum of two Int32.
__host__ __device__ Int64	Arcane::math::max (Int32 a, Int64 b)
	Returns the maximum of two Int32.
__host__ __device__ Int64	Arcane::math::max (Int64 a, Int32 b)
	Returns the maximum of two Int64.
__host__ __device__ Int64	Arcane::math::max (Int64 a, Int64 b)
	Returns the maximum of two Int64.
__host__ __device__ long double	Arcane::math::abs (long double a)
	Returns the absolute value of a real number.
__host__ __device__ double	Arcane::math::abs (double a)
	Returns the absolute value of a real number.
__host__ __device__ float	Arcane::math::abs (float a)
	Returns the absolute value of a real number.
__host__ __device__ short	Arcane::math::abs (short a)
	Returns the absolute value of an 'int'.
__host__ __device__ int	Arcane::math::abs (int a)
	Returns the absolute value of an 'int'.
__host__ __device__ long	Arcane::math::abs (long a)
	Returns the absolute value of a 'long'.
__host__ __device__ long long	Arcane::math::abs (long long a)
	Returns the absolute value of a 'long'.
apfloat	Arcane::math::min (apfloat a, apfloat b)
	Returns the minimum of two real numbers.
apfloat	Arcane::math::max (apfloat a, apfloat b)
	Returns the maximum of two real numbers.
apfloat	Arcane::math::abs (apfloat a)
	Returns the absolute value of a real number.

Detailed Description

Set of mathematical functions.

Function Documentation

◆ abs() [1/8]

apfloat Arcane::math::abs ( apfloat a )

inline

Returns the absolute value of a real number.

Definition at line 133 of file MathApfloat.h.

◆ abs() [2/8]

__host__ __device__ double Arcane::math::abs ( double a )

inline

Returns the absolute value of a real number.

Definition at line 462 of file Math.h.

◆ abs() [3/8]

__host__ __device__ float Arcane::math::abs ( float a )

inline

Returns the absolute value of a real number.

Definition at line 472 of file Math.h.

◆ abs() [4/8]

__host__ __device__ int Arcane::math::abs ( int a )

inline

Returns the absolute value of an 'int'.

Definition at line 492 of file Math.h.

◆ abs() [5/8]

__host__ __device__ long Arcane::math::abs ( long a )

inline

Returns the absolute value of a 'long'.

Definition at line 502 of file Math.h.

◆ abs() [6/8]

__host__ __device__ long double Arcane::math::abs ( long double a )

inline

Returns the absolute value of a real number.

Definition at line 452 of file Math.h.

◆ abs() [7/8]

__host__ __device__ long long Arcane::math::abs ( long long a )

inline

Returns the absolute value of a 'long'.

Definition at line 512 of file Math.h.

◆ abs() [8/8]

__host__ __device__ short Arcane::math::abs ( short a )

inline

Returns the absolute value of an 'int'.

Definition at line 482 of file Math.h.

◆ axisSymmetric()

Real3 Arcane::math::axisSymmetric	(	Real3	u,
		Real3	a )

inline

Symmetry of a vector u with respect to an axis defined by direction vector a.

Definition at line 902 of file MathUtils.h.

References Arcane::arcaneMathError(), dot(), Arcane::Real3::normL2(), and Arcane::Convert::toDouble().

◆ cross()

__host__ __device__ Real3 Arcane::math::cross	(	Real3	v1,
		Real3	v2 )

inline

Cross product of two 3-component vectors.

Definition at line 759 of file MathUtils.h.

References Arcane::Real3POD::x, Arcane::Real3POD::y, and Arcane::Real3POD::z.

Referenced by mixteMul(), and normalizedCrossProduct3().

◆ cross2D()

__host__ __device__ Real Arcane::math::cross2D	(	Real3	u,
		Real3	v )

inline

Vector cross product of u by v in \(R^2\).

Definition at line 79 of file MathUtils.h.

References Arcane::Real3POD::x, and Arcane::Real3POD::y.

◆ dot() [1/2]

__host__ __device__ Real Arcane::math::dot	(	Real2	u,
		Real2	v )

inline

Dot product of u by v in \(R^2\).

This is: \(u{\cdot}v\)

Definition at line 94 of file MathUtils.h.

References Arcane::Real2POD::x, and Arcane::Real2POD::y.

Referenced by axisSymmetric(), Arcane::GeometricUtilities::ProjectionInfo::isInside(), Arcane::GeometricUtilities::ProjectionInfo::isInside(), mixteMul(), mixteMul(), planarSymmetric(), prodTensVec(), prodVecTens(), Arcane::GeometricUtilities::ProjectionInfo::projection(), and Arcane::GeometricUtilities::ProjectionInfo::projection().

◆ dot() [2/2]

__host__ __device__ Real Arcane::math::dot	(	Real3	u,
		Real3	v )

inline

Dot product of u by v.

This is: \(u{\cdot}v\).

Definition at line 128 of file MathUtils.h.

References Arcane::Real3POD::x, Arcane::Real3POD::y, and Arcane::Real3POD::z.

◆ matrix3x3Transp()

Real3x3 Arcane::math::matrix3x3Transp ( Real3x3 m )

inline

Warning: This method does not use the usual convention for Real3x3. It assumes they are stored in columns. Generally, you should use matrixTanspose() instead.

Definition at line 809 of file MathUtils.h.

References Arcane::Real3x3::fromColumns(), Arcane::Real3POD::x, Arcane::Real3x3::x, Arcane::Real3POD::y, Arcane::Real3x3::y, Arcane::Real3POD::z, and Arcane::Real3x3::z.

◆ matrixProduct() [1/2]

__host__ __device__ Real3x3 Arcane::math::matrixProduct	(	const Real3x3 &	t,
		const Real3x3 &	v )

inline

Matrix-matrix product between two tensors.

Definition at line 244 of file MathUtils.h.

References Arcane::Real3x3::fromLines(), Arcane::Real3POD::x, Arcane::Real3x3::x, Arcane::Real3POD::y, Arcane::Real3x3::y, Arcane::Real3POD::z, and Arcane::Real3x3::z.

◆ matrixProduct() [2/2]

SimdReal3x3 Arcane::math::matrixProduct	(	const SimdReal3x3 &	t,
		const SimdReal3x3 &	v )

inline

Matrix-matrix product between two tensors.

Definition at line 137 of file SimdMathUtils.h.

◆ matrixTranspose() [1/2]

__host__ __device__ Real3x3 Arcane::math::matrixTranspose ( const Real3x3 & t )

inline

Transpose the matrix.

Definition at line 280 of file MathUtils.h.

References Arcane::Real3POD::x, Arcane::Real3x3::x, Arcane::Real3POD::y, Arcane::Real3x3::y, Arcane::Real3POD::z, and Arcane::Real3x3::z.

◆ matrixTranspose() [2/2]

SimdReal3x3 Arcane::math::matrixTranspose ( const SimdReal3x3 & t )

inline

Transpose the matrix.

Definition at line 158 of file SimdMathUtils.h.

◆ max() [1/22]

apfloat Arcane::math::max	(	apfloat	a,
		apfloat	b )

inline

Returns the maximum of two real numbers.

Definition at line 120 of file MathApfloat.h.

◆ max() [2/22]

__host__ __device__ Real2x2 Arcane::math::max	(	const Real2x2 &	a,
		const Real2x2 &	b )

inline

Returns the maximum of two Real2x2s.

Definition at line 440 of file MathUtils.h.

References max(), Arcane::Real2x2::x, and Arcane::Real2x2::y.

◆ max() [3/22]

__host__ __device__ Real3x3 Arcane::math::max	(	const Real3x3 &	a,
		const Real3x3 &	b )

inline

Returns the maximum of two Real3x3s.

Definition at line 450 of file MathUtils.h.

References max(), Arcane::Real3x3::x, Arcane::Real3x3::y, and Arcane::Real3x3::z.

◆ max() [4/22]

__host__ __device__ SimdReal2 Arcane::math::max	(	const SimdReal2 &	a,
		const SimdReal2 &	b )

inline

Returns the maximum of two SimdReal2.

Definition at line 216 of file SimdMathUtils.h.

References max().

◆ max() [5/22]

SimdReal2x2 Arcane::math::max	(	const SimdReal2x2 &	a,
		const SimdReal2x2 &	b )

inline

Returns the maximum of two SimdReal2x2.

Definition at line 236 of file SimdMathUtils.h.

References max().

◆ max() [6/22]

__host__ __device__ SimdReal3 Arcane::math::max	(	const SimdReal3 &	a,
		const SimdReal3 &	b )

inline

Returns the maximum of two SimdReal3.

Definition at line 226 of file SimdMathUtils.h.

References max().

◆ max() [7/22]

SimdReal3x3 Arcane::math::max	(	const SimdReal3x3 &	a,
		const SimdReal3x3 &	b )

inline

Returns the maximum of two SimdReal3x3.

Definition at line 246 of file SimdMathUtils.h.

References max().

◆ max() [8/22]

template<class T>

__host__ __device__ T Arcane::math::max	(	const T &	a,
		const T &	b )

inline

Returns the maximum of two elements.

Uses the < operator to determine the maximum.

Definition at line 329 of file Math.h.

◆ max() [9/22]

template<class T>

T Arcane::math::max	(	const T &	a,
		const T &	b,
		const T &	c )

inline

Returns the maximum of three elements.

Uses the > operator to determine the maximum.

Definition at line 407 of file MathUtils.h.

Referenced by Arcane::CartesianMeshCoarsening2::createCoarseCells(), Arcane::CartesianMeshCoarsening::createCoarseCells(), max(), max(), max(), max(), max(), max(), max(), max(), max4Real(), max8Real(), maxMod2(), minMod(), minMod2(), and relativeError().

◆ max() [10/22]

__host__ __device__ double Arcane::math::max	(	double	a,
		double	b )

inline

Returns the maximum of two real numbers.

Definition at line 379 of file Math.h.

◆ max() [11/22]

__host__ __device__ long double Arcane::math::max	(	double	a,
		long double	b )

inline

Returns the maximum of two real numbers.

Definition at line 349 of file Math.h.

◆ max() [12/22]

__host__ __device__ float Arcane::math::max	(	float	a,
		float	b )

inline

Returns the maximum of two real numbers.

Definition at line 389 of file Math.h.

◆ max() [13/22]

__host__ __device__ Int16 Arcane::math::max	(	Int16	a,
		Int16	b )

inline

Returns the maximum of two Int16.

Definition at line 399 of file Math.h.

◆ max() [14/22]

__host__ __device__ Int32 Arcane::math::max	(	Int32	a,
		Int32	b )

inline

Returns the maximum of two Int32.

Definition at line 409 of file Math.h.

◆ max() [15/22]

__host__ __device__ Int64 Arcane::math::max	(	Int32	a,
		Int64	b )

inline

Returns the maximum of two Int32.

Definition at line 419 of file Math.h.

◆ max() [16/22]

__host__ __device__ Int64 Arcane::math::max	(	Int64	a,
		Int32	b )

inline

Returns the maximum of two Int64.

Definition at line 429 of file Math.h.

◆ max() [17/22]

__host__ __device__ Int64 Arcane::math::max	(	Int64	a,
		Int64	b )

inline

Returns the maximum of two Int64.

Definition at line 439 of file Math.h.

◆ max() [18/22]

__host__ __device__ long double Arcane::math::max	(	long double	a,
		double	b )

inline

Returns the maximum of two real numbers.

Definition at line 359 of file Math.h.

◆ max() [19/22]

__host__ __device__ long double Arcane::math::max	(	long double	a,
		long double	b )

inline

Returns the maximum of two real numbers.

Definition at line 339 of file Math.h.

◆ max() [20/22]

__host__ __device__ Real2 Arcane::math::max	(	Real2	a,
		Real2	b )

inline

Returns the maximum of two Real2s.

Definition at line 420 of file MathUtils.h.

References max(), Arcane::Real2POD::x, and Arcane::Real2POD::y.

◆ max() [21/22]

__host__ __device__ Real3 Arcane::math::max	(	Real3	a,
		Real3	b )

inline

Returns the maximum of two Real3s.

Definition at line 430 of file MathUtils.h.

References max(), Arcane::Real3POD::x, Arcane::Real3POD::y, and Arcane::Real3POD::z.

◆ max() [22/22]

__host__ __device__ unsigned long Arcane::math::max	(	unsigned long	a,
		unsigned long	b )

inline

Returns the maximum of two integers.

Definition at line 369 of file Math.h.

◆ maxMod2()

__host__ __device__ Real Arcane::math::maxMod2	(	Real	a,
		Real	b )

inline

Returns the Max mod of two Reals.

Definition at line 541 of file MathUtils.h.

References max(), and min().

◆ min() [1/17]

apfloat Arcane::math::min	(	apfloat	a,
		apfloat	b )

inline

Returns the minimum of two real numbers.

Definition at line 107 of file MathApfloat.h.

◆ min() [2/17]

__host__ __device__ Real2x2 Arcane::math::min	(	const Real2x2 &	a,
		const Real2x2 &	b )

inline

Returns the minimum of two Real2x2s.

Definition at line 366 of file MathUtils.h.

References min(), Arcane::Real2x2::x, and Arcane::Real2x2::y.

◆ min() [3/17]

__host__ __device__ Real3x3 Arcane::math::min	(	const Real3x3 &	a,
		const Real3x3 &	b )

inline

Returns the minimum of two Real3x3s.

Definition at line 376 of file MathUtils.h.

References min(), Arcane::Real3x3::x, Arcane::Real3x3::y, and Arcane::Real3x3::z.

◆ min() [4/17]

__host__ __device__ SimdReal2 Arcane::math::min	(	const SimdReal2 &	a,
		const SimdReal2 &	b )

inline

Returns the minimum of two SimdReal2.

Definition at line 173 of file SimdMathUtils.h.

References min().

◆ min() [5/17]

SimdReal2x2 Arcane::math::min	(	const SimdReal2x2 &	a,
		const SimdReal2x2 &	b )

inline

Returns the minimum of two SimdReal2x2.

Definition at line 193 of file SimdMathUtils.h.

References min().

◆ min() [6/17]

__host__ __device__ SimdReal3 Arcane::math::min	(	const SimdReal3 &	a,
		const SimdReal3 &	b )

inline

Returns the minimum of two SimdReal3.

Definition at line 183 of file SimdMathUtils.h.

References min().

◆ min() [7/17]

SimdReal3x3 Arcane::math::min	(	const SimdReal3x3 &	a,
		const SimdReal3x3 &	b )

inline

Returns the minimum of two SimdReal3x3.

Definition at line 203 of file SimdMathUtils.h.

References min().

◆ min() [8/17]

template<class T>

__host__ __device__ T Arcane::math::min	(	const T &	a,
		const T &	b )

inline

Returns the minimum of two elements.

Uses the < operator to determine the minimum.

Definition at line 253 of file Math.h.

◆ min() [9/17]

template<class T>

T Arcane::math::min	(	const T &	a,
		const T &	b,
		const T &	c )

inline

Returns the minimum of three elements.

Uses the < operator to determine the minimum.

Definition at line 392 of file MathUtils.h.

◆ min() [10/17]

__host__ __device__ double Arcane::math::min	(	double	a,
		double	b )

inline

Returns the minimum of two real numbers.

Definition at line 293 of file Math.h.

◆ min() [11/17]

__host__ __device__ long double Arcane::math::min	(	double	a,
		long double	b )

inline

Returns the minimum of two real numbers.

Definition at line 273 of file Math.h.

◆ min() [12/17]

__host__ __device__ float Arcane::math::min	(	float	a,
		float	b )

inline

Returns the minimum of two real numbers.

Definition at line 303 of file Math.h.

◆ min() [13/17]

__host__ __device__ int Arcane::math::min	(	int	a,
		int	b )

inline

Returns the minimum of two integers.

Definition at line 313 of file Math.h.

◆ min() [14/17]

__host__ __device__ long double Arcane::math::min	(	long double	a,
		double	b )

inline

Returns the minimum of two real numbers.

Definition at line 283 of file Math.h.

◆ min() [15/17]

__host__ __device__ long double Arcane::math::min	(	long double	a,
		long double	b )

inline

Returns the minimum of two real numbers.

Definition at line 263 of file Math.h.

◆ min() [16/17]

__host__ __device__ Real2 Arcane::math::min	(	Real2	a,
		Real2	b )

inline

Returns the minimum of two Real2.

Definition at line 346 of file MathUtils.h.

References min(), Arcane::Real2POD::x, and Arcane::Real2POD::y.

Referenced by maxMod2(), min(), min(), min(), min(), min(), min(), min(), min(), min4Real(), min8Real(), minMod(), minMod2(), and Arcane::MessagePassing::namedBarrier().

◆ min() [17/17]

__host__ __device__ Real3 Arcane::math::min	(	Real3	a,
		Real3	b )

inline

Returns the minimum of two Real3s.

Definition at line 356 of file MathUtils.h.

References min(), Arcane::Real3POD::x, Arcane::Real3POD::y, and Arcane::Real3POD::z.

◆ minMod()

__host__ __device__ Real Arcane::math::minMod	(	Real	a,
		Real	b,
		Real	c,
		Real	d )

inline

Returns the Min mod of four Reals.

Definition at line 513 of file MathUtils.h.

References max(), max4Real(), min(), and min4Real().

◆ minMod2()

__host__ __device__ Real Arcane::math::minMod2	(	Real	a,
		Real	b )

inline

Returns the Min mod of two Reals.

Definition at line 526 of file MathUtils.h.

References max(), and min().

◆ mixteMul()

__host__ __device__ Real Arcane::math::mixteMul	(	Real3	u,
		Real3	v,
		Real3	w )

inline

Mixed product of u, v and w.

Definition at line 161 of file MathUtils.h.

References dot(), and vecMul().

◆ normalizedCrossProduct3()

Real3 Arcane::math::normalizedCrossProduct3	(	Real3	v1,
		Real3	v2 )

inline

Normalized cross product.

Definition at line 793 of file MathUtils.h.

References cross(), and normalizeReal3().

◆ normalizeReal3()

__host__ __device__ Real3 Arcane::math::normalizeReal3 ( Real3 v )

inline

Normalization of a Real3.

Precondition: The norm of v must not be zero.

Definition at line 778 of file MathUtils.h.

References sqrt(), Arcane::Real3POD::x, Arcane::Real3POD::y, and Arcane::Real3POD::z.

Referenced by normalizedCrossProduct3().

◆ planarSymmetric()

Real3 Arcane::math::planarSymmetric	(	Real3	u,
		Real3	n )

inline

Symmetry of a vector u with respect to a normal plane n.

Definition at line 881 of file MathUtils.h.

References Arcane::arcaneMathError(), dot(), Arcane::Real3::normL2(), and Arcane::Convert::toDouble().

◆ prodTens()

Real3x3 Arcane::math::prodTens	(	Real3	u,
		Real3	v )

inline

Tensor product of two Real3 vectors.

Il s'agit de \(\vec{u}=~^t(u_{x},u_{y},u_{z})\) et \(\vec{v}=~^t(v_{x},v_{y},v_{z})\) et est noté \(\vec{u} \otimes \vec{v}\), et est donné par~:

             Ux*Vx Ux*Vy Ux*Vz

U \otimes V = Uy*Vx Uy*Vy Uy*Vz Uz*Vx Uz*Vy Uz*Vz

Definition at line 196 of file MathUtils.h.

References Arcane::Real3POD::x, Arcane::Real3POD::y, and Arcane::Real3POD::z.

◆ prodTensVec()

__host__ __device__ Real3 Arcane::math::prodTensVec	(	Real3x3	t,
		Real3	v )

inline

Matrix-vector product between a tensor and a vector.

Definition at line 211 of file MathUtils.h.

References dot(), Arcane::Real3x3::x, Arcane::Real3x3::y, and Arcane::Real3x3::z.

◆ prodVecTens()

__host__ __device__ Real3 Arcane::math::prodVecTens	(	Real3	v,
		Real3x3	t )

inline

Transposed(vector) matrix product between the transpose of a vector and a matrix.

Returns the transposed vector of the result.

Definition at line 231 of file MathUtils.h.

References dot(), Arcane::Real3POD::x, Arcane::Real3x3::x, Arcane::Real3POD::y, Arcane::Real3x3::y, Arcane::Real3POD::z, and Arcane::Real3x3::z.

◆ scaMul() [1/2]

__host__ __device__ Real Arcane::math::scaMul	(	Real2	u,
		Real2	v )

inline

Dot product of u by v in \(R^2\).

This is: \(u{\cdot}v\).

Deprecated: Use dot(Real2,Real2) instead

Definition at line 112 of file MathUtils.h.

References Arcane::Real2POD::x, and Arcane::Real2POD::y.

Referenced by MicroHydroModule::computeGeometricValues().

◆ scaMul() [2/2]

__host__ __device__ Real Arcane::math::scaMul	(	Real3	u,
		Real3	v )

inline

Dot product of u by v.

This is: \(u{\cdot}v\)

Deprecated: Use dot(Real2,Real2) instead

Definition at line 146 of file MathUtils.h.

References Arcane::Real3POD::x, Arcane::Real3POD::y, and Arcane::Real3POD::z.

◆ vecMul()

__host__ __device__ Real3 Arcane::math::vecMul	(	Real3	u,
		Real3	v )

inline

Vector cross product of u by v in \(R^3\).

Deprecated: Use cross() instead.

Definition at line 48 of file MathUtils.h.

References Arcane::Real3POD::x, Arcane::Real3POD::y, and Arcane::Real3POD::z.

Referenced by mixteMul().

◆ vecMul2D()

__host__ __device__ Real Arcane::math::vecMul2D	(	Real3	u,
		Real3	v )

inline

Vector cross product of u by v in \(R^2\).

Deprecated: Use cross2D() instead.

Definition at line 66 of file MathUtils.h.

References Arcane::Real3POD::x, and Arcane::Real3POD::y.

Functions

Detailed Description

Function Documentation

◆ abs() [1/8]

◆ abs() [2/8]

◆ abs() [3/8]

◆ abs() [4/8]

◆ abs() [5/8]

◆ abs() [6/8]

◆ abs() [7/8]

◆ abs() [8/8]

◆ axisSymmetric()

◆ cross()

◆ cross2D()

◆ dot() [1/2]

◆ dot() [2/2]

◆ matrix3x3Transp()

◆ matrixProduct() [1/2]

◆ matrixProduct() [2/2]

◆ matrixTranspose() [1/2]

◆ matrixTranspose() [2/2]

◆ max() [1/22]

◆ max() [2/22]

◆ max() [3/22]

◆ max() [4/22]

◆ max() [5/22]

◆ max() [6/22]

◆ max() [7/22]

◆ max() [8/22]

◆ max() [9/22]

◆ max() [10/22]

◆ max() [11/22]

◆ max() [12/22]

◆ max() [13/22]

◆ max() [14/22]

◆ max() [15/22]

◆ max() [16/22]

◆ max() [17/22]

◆ max() [18/22]

◆ max() [19/22]

◆ max() [20/22]

◆ max() [21/22]

◆ max() [22/22]

◆ maxMod2()

◆ min() [1/17]

◆ min() [2/17]

◆ min() [3/17]

◆ min() [4/17]

◆ min() [5/17]

◆ min() [6/17]

◆ min() [7/17]

◆ min() [8/17]

◆ min() [9/17]

◆ min() [10/17]

◆ min() [11/17]

◆ min() [12/17]

◆ min() [13/17]

◆ min() [14/17]

◆ min() [15/17]

◆ min() [16/17]

◆ min() [17/17]

◆ minMod()

◆ minMod2()

◆ mixteMul()

◆ normalizedCrossProduct3()

◆ normalizeReal3()

◆ planarSymmetric()

◆ prodTens()

◆ prodTensVec()

◆ prodVecTens()

◆ scaMul() [1/2]

◆ scaMul() [2/2]

◆ vecMul()

◆ vecMul2D()