mfem::kernels Namespace Reference

Functions
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 a matrix with given size and data into the matrix with data inv_data. 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 + alpha*B, 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 , 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>
void	CalcEigenvalues (const double *data, double *lambda, double *vec)
template<int dim>
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...

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 141 of file kernels.hpp.

template<int dim>

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 866 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 897 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 a matrix with given size and data into the matrix with data inv_data.

Definition at line 130 of file kernels.hpp.

template<int dim>

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 1099 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 1147 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 121 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 76 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 159 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 181 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 46 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 107 of file kernels.hpp.