kernels.hpp File Reference

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Namespaces
	mfem
	mfem::kernels

Functions
template<int dim>
MFEM_HOST_DEVICE double	mfem::kernels::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	mfem::kernels::Diag (const double c, double *data)
	Creates n x n diagonal matrix with diagonal elements c. More...
template<int dim>
MFEM_HOST_DEVICE void	mfem::kernels::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	mfem::kernels::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	mfem::kernels::FNorm (double &scale_factor, double &scaled_fnorm2, const T *data)
template<int H, int W, typename T >
MFEM_HOST_DEVICE double	mfem::kernels::FNorm (const T *data)
	Compute the Frobenius norm of the matrix. More...
template<int H, int W, typename T >
MFEM_HOST_DEVICE double	mfem::kernels::FNorm2 (const T *data)
	Compute the square of the Frobenius norm of the matrix. More...
template<typename T >
MFEM_HOST_DEVICE double	mfem::kernels::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	mfem::kernels::Mult (const int height, const int width, const 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 TA , typename TX , typename TY >
MFEM_HOST_DEVICE void	mfem::kernels::MultTranspose (const int height, const int width, const TA *data, const TX *x, TY *y)
	Matrix transpose vector multiplication: y = At 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	mfem::kernels::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	mfem::kernels::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	mfem::kernels::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	mfem::kernels::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	mfem::kernels::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 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)
	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. More...
template<typename TA , typename TB >
MFEM_HOST_DEVICE void	mfem::kernels::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	mfem::kernels::Add (const int height, const int width, const double alpha, const TA *Adata, TB *Bdata)
	Compute B +=alpha*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	mfem::kernels::Set (const int height, const int width, const double alpha, const TA *Adata, TB *Bdata)
	Compute B = alpha*A, 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	mfem::kernels::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	mfem::kernels::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<typename TA , typename TB , typename TC >
MFEM_HOST_DEVICE void	mfem::kernels::MultAtB (const int Aheight, const int Awidth, const int Bwidth, const TA *Adata, const TB *Bdata, TC *AtBdata)
	Multiply the transpose of a matrix of size Aheight x Awidth and data Adata with a matrix of size Aheight x Bwidth and data Bdata: At * B. Return the result in a matrix with data AtBdata. More...
template<int dim>
MFEM_HOST_DEVICE void	mfem::kernels::CalcEigenvalues (const double *data, double *lambda, double *vec)
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. More...
template<>
MFEM_HOST_DEVICE void	mfem::kernels::CalcEigenvalues< 2 > (const double *data, double *lambda, double *vec)
template<>
MFEM_HOST_DEVICE void	mfem::kernels::CalcEigenvalues< 3 > (const double *data, double *lambda, double *vec)
template<>
MFEM_HOST_DEVICE double	mfem::kernels::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	mfem::kernels::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	mfem::kernels::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...