MFEM  v4.6.0
Finite element discretization library
Classes | Functions
mfem::kernels Namespace Reference

Classes

struct  Instances
 Instances. More...
 
struct  Instances< K, 1 >
 
class  InvariantsEvaluator2D
 
class  InvariantsEvaluator3D
 
class  KernelMap
 KernelMap class which creates an unordered_map of the Keys/Kernels. More...
 

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, 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 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 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 + 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 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 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 +=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 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 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<typename TA , typename TB , typename TC >
MFEM_HOST_DEVICE void 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 HEIGHT, int WIDTH>
MFEM_HOST_DEVICE void CalcLeftInverse (const double *data, double *left_inv)
 Given a matrix of size 2x1, 3x1, or 3x2, compute the left inverse. 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 CalcLeftInverse< 2, 1 > (const double *d, double *left_inv)
 
template<>
MFEM_HOST_DEVICE void CalcLeftInverse< 3, 1 > (const double *d, double *left_inv)
 
template<>
MFEM_HOST_DEVICE void CalcLeftInverse< 3, 2 > (const double *d, double *left_inv)
 
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

◆ Add() [1/4]

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 266 of file kernels.hpp.

◆ Add() [2/4]

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 283 of file kernels.hpp.

◆ Add() [3/4]

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 299 of file kernels.hpp.

◆ Add() [4/4]

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 312 of file kernels.hpp.

◆ AddMultVWt()

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.

◆ CalcAdjugate()

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 256 of file kernels.hpp.

◆ CalcEigenvalues()

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).

◆ CalcEigenvalues< 2 >()

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 1111 of file kernels.hpp.

◆ CalcEigenvalues< 3 >()

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 1142 of file kernels.hpp.

◆ CalcInverse()

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 246 of file kernels.hpp.

◆ CalcLeftInverse()

template<int HEIGHT, int WIDTH>
MFEM_HOST_DEVICE void mfem::kernels::CalcLeftInverse ( const double *  data,
double *  left_inv 
)

Given a matrix of size 2x1, 3x1, or 3x2, compute the left inverse.

◆ CalcLeftInverse< 2, 1 >()

template<>
MFEM_HOST_DEVICE void mfem::kernels::CalcLeftInverse< 2, 1 > ( const double *  d,
double *  left_inv 
)
inline

Definition at line 1072 of file kernels.hpp.

◆ CalcLeftInverse< 3, 1 >()

template<>
MFEM_HOST_DEVICE void mfem::kernels::CalcLeftInverse< 3, 1 > ( const double *  d,
double *  left_inv 
)
inline

Definition at line 1080 of file kernels.hpp.

◆ CalcLeftInverse< 3, 2 >()

template<>
MFEM_HOST_DEVICE void mfem::kernels::CalcLeftInverse< 3, 2 > ( const double *  d,
double *  left_inv 
)
inline

Definition at line 1089 of file kernels.hpp.

◆ CalcSingularvalue()

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.

◆ CalcSingularvalue< 2 >()

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 1344 of file kernels.hpp.

◆ CalcSingularvalue< 3 >()

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 1392 of file kernels.hpp.

◆ Det()

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 237 of file kernels.hpp.

◆ Diag()

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.

◆ DistanceSquared()

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.

◆ FNorm() [1/2]

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.

◆ FNorm() [2/2]

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.

◆ FNorm2()

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.

◆ LUSolve()

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 1633 of file kernels.hpp.

◆ Mult() [1/2]

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 
)
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.

◆ Mult() [2/2]

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 341 of file kernels.hpp.

◆ MultABt()

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 363 of file kernels.hpp.

◆ MultAtB()

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 
)
inline

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.

Definition at line 390 of file kernels.hpp.

◆ MultTranspose()

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 
)
inline

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.

Definition at line 196 of file kernels.hpp.

◆ Norml2()

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.

◆ Set()

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 326 of file kernels.hpp.

◆ Subtract()

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.

◆ Symmetrize()

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 223 of file kernels.hpp.