Classes
class	InvariantsEvaluator2D

class	InvariantsEvaluator3D

Functions
template<int dim>
MFEM_HOST_DEVICE double	DistanceSquared (const double x, const double y)
	Compute the square of the Euclidean distance to another vector. More...

template<int dim>
MFEM_HOST_DEVICE void	Diag (const double c, double *data)
	Creates n x n diagonal matrix with diagonal elements c. More...

template<int dim>
MFEM_HOST_DEVICE void	Subtract (const double a, const double x, const double y, double *z)
	Vector subtraction operation: z = a * (x - y) More...

template<int dim>
MFEM_HOST_DEVICE void	AddMultVWt (const double v, const double w, double *VWt)
	Dense matrix operation: VWt += v w^t. More...

template<int H, int W, typename T >
MFEM_HOST_DEVICE void	FNorm (double &scale_factor, double &scaled_fnorm2, const T *data)

template<int H, int W, typename T >
MFEM_HOST_DEVICE double	FNorm (const T *data)
	Compute the Frobenius norm of the matrix. More...

template<int H, int W, typename T >
MFEM_HOST_DEVICE double	FNorm2 (const T *data)
	Compute the square of the Frobenius norm of the matrix. More...

template<typename T >
MFEM_HOST_DEVICE double	Norml2 (const int size, const T *data)
	Returns the l2 norm of the Vector with given size and data. More...

template<typename TA , typename TX , typename TY >
MFEM_HOST_DEVICE void	Mult (const int height, const int width, TA data, const TX x, TY *y)
	Matrix vector multiplication: y = A x, where the matrix A is of size height x width with given data, while x and y specify the data of the input and output vectors. More...

template<typename T >
MFEM_HOST_DEVICE void	Symmetrize (const int size, T *data)
	Symmetrize a square matrix with given size and data: A -> (A+A^T)/2. More...

template<int dim, typename T >
MFEM_HOST_DEVICE T	Det (const T *data)
	Compute the determinant of a square matrix of size dim with given data. More...

template<int dim, typename T >
MFEM_HOST_DEVICE void	CalcInverse (const T data, T inv_data)
	Return the inverse of a matrix with given size and data into the matrix with data inv_data. More...

template<int dim, typename T >
MFEM_HOST_DEVICE void	CalcAdjugate (const T data, T adj_data)
	Return the adjugate of a matrix. More...

template<typename TALPHA , typename TA , typename TB , typename TC >
MFEM_HOST_DEVICE void	Add (const int height, const int width, const TALPHA alpha, const TA Adata, const TB Bdata, TC *Cdata)
	Compute C = A + alphaB, where the matrices A, B and C are of size height* x width with data Adata, Bdata and Cdata. More...

template<typename TALPHA , typename TBETA , typename TA , typename TB , typename TC >
MFEM_HOST_DEVICE void	Add (const int height, const int width, const TALPHA alpha, const TA Adata, const TBETA beta, const TB Bdata, TC *Cdata)
	Compute C = alphaA + betaB, where the matrices A, B and C are of size height x width with data Adata, Bdata and Cdata. More...

template<typename TA , typename TB >
MFEM_HOST_DEVICE void	Add (const int height, const int width, const TA Adata, TB Bdata)
	Compute B += A, where the matrices A and B are of size height x width with data Adata and Bdata. More...

template<typename TA , typename TB >
MFEM_HOST_DEVICE void	Add (const int height, const int width, const double alpha, const TA Adata, TB Bdata)
	Compute B +=alphaA, where the matrices A and B are of size height* x width with data Adata and Bdata. More...

template<typename TA , typename TB >
MFEM_HOST_DEVICE void	Set (const int height, const int width, const double alpha, const TA Adata, TB Bdata)
	Compute B = alphaA, where the matrices A and B are of size height* x width with data Adata and Bdata. More...

template<typename TA , typename TB , typename TC >
MFEM_HOST_DEVICE void	Mult (const int Aheight, const int Awidth, const int Bwidth, const TB Bdata, const TC Cdata, TA *Adata)
	Matrix-matrix multiplication: A = B * C, where the matrices A, B and C are of sizes Aheight x Awidth, Aheight x Bwidth and Bwidth x Awidth, respectively. More...

template<typename TA , typename TB , typename TC >
MFEM_HOST_DEVICE void	MultABt (const int Aheight, const int Awidth, const int Bheight, const TA Adata, const TB Bdata, TC *ABtdata)
	Multiply a matrix of size Aheight x Awidth and data Adata with the transpose of a matrix of size Bheight x Awidth and data Bdata: A * Bt. Return the result in a matrix with data ABtdata. More...

template<int dim>
MFEM_HOST_DEVICE void	CalcEigenvalues (const double data, double lambda, double *vec)

template<int dim>
MFEM_HOST_DEVICE double	CalcSingularvalue (const double *data, const int i)
	Return the i'th singular value of the matrix of size dim with given data. More...

template<>
MFEM_HOST_DEVICE void	CalcEigenvalues< 2 > (const double data, double lambda, double *vec)

template<>
MFEM_HOST_DEVICE void	CalcEigenvalues< 3 > (const double data, double lambda, double *vec)

template<>
MFEM_HOST_DEVICE double	CalcSingularvalue< 2 > (const double *data, const int i)
	Return the i'th singular value of the matrix of size 2 with given data. More...

template<>
MFEM_HOST_DEVICE double	CalcSingularvalue< 3 > (const double *data, const int i)
	Return the i'th singular value of the matrix of size 3 with given data. More...

MFEM_HOST_DEVICE void	LUSolve (const double data, const int m, const int ipiv, double *x)
	Assuming L.U = P.A for a factored matrix (m x m),. More...

Function Documentation

template<typename TALPHA , typename TA , typename TB , typename TC >

MFEM_HOST_DEVICE void mfem::kernels::Add	(	const int	height,
		const int	width,
		const TALPHA	alpha,
		const TA *	Adata,
		const TB *	Bdata,
		TC *	Cdata
	)

inline

Compute C = A + alpha*B, where the matrices A, B and C are of size height x width with data Adata, Bdata and Cdata.

Definition at line 237 of file kernels.hpp.

template<typename TALPHA , typename TBETA , typename TA , typename TB , typename TC >

MFEM_HOST_DEVICE void mfem::kernels::Add	(	const int	height,
		const int	width,
		const TALPHA	alpha,
		const TA *	Adata,
		const TBETA	beta,
		const TB *	Bdata,
		TC *	Cdata
	)

inline

Compute C = alpha*A + beta*B, where the matrices A, B and C are of size height x width with data Adata, Bdata and Cdata.

Definition at line 254 of file kernels.hpp.

template<typename TA , typename TB >

MFEM_HOST_DEVICE void mfem::kernels::Add	(	const int	height,
		const int	width,
		const TA *	Adata,
		TB *	Bdata
	)

inline

Compute B += A, where the matrices A and B are of size height x width with data Adata and Bdata.

Definition at line 270 of file kernels.hpp.

template<typename TA , typename TB >

MFEM_HOST_DEVICE void mfem::kernels::Add	(	const int	height,
		const int	width,
		const double	alpha,
		const TA *	Adata,
		TB *	Bdata
	)

inline

Compute B +=alpha*A, where the matrices A and B are of size height x width with data Adata and Bdata.

Definition at line 283 of file kernels.hpp.

template<int dim>

MFEM_HOST_DEVICE void mfem::kernels::AddMultVWt	(	const double *	v,
		const double *	w,
		double *	VWt
	)

inline

Dense matrix operation: VWt += v w^t.

Definition at line 67 of file kernels.hpp.

template<int dim, typename T >

MFEM_HOST_DEVICE void mfem::kernels::CalcAdjugate	(	const T *	data,
		T *	adj_data
	)

inline

Return the adjugate of a matrix.

Definition at line 227 of file kernels.hpp.

template<int dim>

MFEM_HOST_DEVICE void mfem::kernels::CalcEigenvalues	(	const double *	data,
		double *	lambda,
		double *	vec
	)

Compute the spectrum of the matrix of size dim with given data, returning the eigenvalues in the array lambda and the eigenvectors in the array vec (listed consecutively).

template<>

MFEM_HOST_DEVICE void mfem::kernels::CalcEigenvalues< 2 >	(	const double *	data,
		double *	lambda,
		double *	vec
	)

inline

Compute the spectrum of the matrix of size 2 with given data, returning the eigenvalues in the array lambda and the eigenvectors in the array vec (listed consecutively).

Definition at line 1019 of file kernels.hpp.

template<>

MFEM_HOST_DEVICE void mfem::kernels::CalcEigenvalues< 3 >	(	const double *	data,
		double *	lambda,
		double *	vec
	)

inline

Compute the spectrum of the matrix of size 3 with given data, returning the eigenvalues in the array lambda and the eigenvectors in the array vec (listed consecutively).

Definition at line 1050 of file kernels.hpp.

template<int dim, typename T >

MFEM_HOST_DEVICE void mfem::kernels::CalcInverse	(	const T *	data,
		T *	inv_data
	)

inline

Return the inverse of a matrix with given size and data into the matrix with data inv_data.

Definition at line 217 of file kernels.hpp.

template<int dim>

MFEM_HOST_DEVICE double mfem::kernels::CalcSingularvalue	(	const double *	data,
		const int	i
	)

Return the i'th singular value of the matrix of size dim with given data.

template<>

MFEM_HOST_DEVICE double mfem::kernels::CalcSingularvalue< 2 >	(	const double *	data,
		const int	i
	)

inline

Return the i'th singular value of the matrix of size 2 with given data.

Definition at line 1252 of file kernels.hpp.

template<>

MFEM_HOST_DEVICE double mfem::kernels::CalcSingularvalue< 3 >	(	const double *	data,
		const int	i
	)

inline

Return the i'th singular value of the matrix of size 3 with given data.

Definition at line 1300 of file kernels.hpp.

template<int dim, typename T >

MFEM_HOST_DEVICE T mfem::kernels::Det ( const T * data )

inline

Compute the determinant of a square matrix of size dim with given data.

Definition at line 208 of file kernels.hpp.

template<int dim>

MFEM_HOST_DEVICE void mfem::kernels::Diag	(	const double	c,
		double *	data
	)

inline

Creates n x n diagonal matrix with diagonal elements c.

Definition at line 49 of file kernels.hpp.

template<int dim>

MFEM_HOST_DEVICE double mfem::kernels::DistanceSquared	(	const double *	x,
		const double *	y
	)

inline

Compute the square of the Euclidean distance to another vector.

Definition at line 40 of file kernels.hpp.

template<int H, int W, typename T >

MFEM_HOST_DEVICE void mfem::kernels::FNorm	(	double &	scale_factor,
		double &	scaled_fnorm2,
		const T *	data
	)

inline

Definition at line 79 of file kernels.hpp.

template<int H, int W, typename T >

MFEM_HOST_DEVICE double mfem::kernels::FNorm ( const T * data )

inline

Compute the Frobenius norm of the matrix.

Definition at line 113 of file kernels.hpp.

template<int H, int W, typename T >

MFEM_HOST_DEVICE double mfem::kernels::FNorm2 ( const T * data )

inline

Compute the square of the Frobenius norm of the matrix.

Definition at line 123 of file kernels.hpp.

MFEM_HOST_DEVICE void mfem::kernels::LUSolve	(	const double *	data,
		const int	m,
		const int *	ipiv,
		double *	x
	)

inline

Assuming L.U = P.A for a factored matrix (m x m),.

Definition at line 1541 of file kernels.hpp.

template<typename TA , typename TX , typename TY >

MFEM_HOST_DEVICE void mfem::kernels::Mult	(	const int	height,
		const int	width,
		TA *	data,
		const TX *	x,
		TY *	y
	)

inline

Matrix vector multiplication: y = A x, where the matrix A is of size height x width with given data, while x and y specify the data of the input and output vectors.

Definition at line 163 of file kernels.hpp.

template<typename TA , typename TB , typename TC >

MFEM_HOST_DEVICE void mfem::kernels::Mult	(	const int	Aheight,
		const int	Awidth,
		const int	Bwidth,
		const TB *	Bdata,
		const TC *	Cdata,
		TA *	Adata
	)

inline

Matrix-matrix multiplication: A = B * C, where the matrices A, B and C are of sizes Aheight x Awidth, Aheight x Bwidth and Bwidth x Awidth, respectively.

Definition at line 312 of file kernels.hpp.

template<typename TA , typename TB , typename TC >

MFEM_HOST_DEVICE void mfem::kernels::MultABt	(	const int	Aheight,
		const int	Awidth,
		const int	Bheight,
		const TA *	Adata,
		const TB *	Bdata,
		TC *	ABtdata
	)

inline

Multiply a matrix of size Aheight x Awidth and data Adata with the transpose of a matrix of size Bheight x Awidth and data Bdata: A * Bt. Return the result in a matrix with data ABtdata.

Definition at line 334 of file kernels.hpp.

template<typename T >

MFEM_HOST_DEVICE double mfem::kernels::Norml2	(	const int	size,
		const T *	data
	)

inline

Returns the l2 norm of the Vector with given size and data.

Definition at line 133 of file kernels.hpp.

template<typename TA , typename TB >

MFEM_HOST_DEVICE void mfem::kernels::Set	(	const int	height,
		const int	width,
		const double	alpha,
		const TA *	Adata,
		TB *	Bdata
	)

inline

Compute B = alpha*A, where the matrices A and B are of size height x width with data Adata and Bdata.

Definition at line 297 of file kernels.hpp.

template<int dim>

MFEM_HOST_DEVICE void mfem::kernels::Subtract	(	const double	a,
		const double *	x,
		const double *	y,
		double *	z
	)

inline

Vector subtraction operation: z = a * (x - y)

Definition at line 58 of file kernels.hpp.

template<typename T >

MFEM_HOST_DEVICE void mfem::kernels::Symmetrize	(	const int	size,
		T *	data
	)

inline

Symmetrize a square matrix with given size and data: A -> (A+A^T)/2.

Definition at line 194 of file kernels.hpp.

Classes

Functions

Function Documentation