CudaUtils Namespace Reference

Namespaces
namespace	Kernel

Functions
__device__ int	sign (real x)
	Get sign of floating point variable. More...
__device__ int	stressIndex (int particleIndex, int row, int col)
	map [i][j] to [i*DIM*DIM+j] for the tensors More...
__device__ void	copyMatrix (real src[DIM][DIM], real dst[DIM][DIM])
	Deep copy of matrix. More...
__device__ void	transposeMatrix (real m[DIM][DIM])
	Transpose matrix. More...
__device__ void	multiplyMatrix (real A[DIM][DIM], real B[DIM][DIM], real C[DIM][DIM])
__device__ void	multiply (real A[][DIM], real B[][DIM], real C[][DIM])
__device__ void	identityMatrix (real A[DIM][DIM])
	Return identity matrix. More...
__device__ int	maxMatrix (real M[DIM][DIM], int *e, int *f, real *elmax)
	Returns the indices of the greatest non-diagonal element of the matrix M. More...
__device__ void	rotateMatrix (volatile real m[DIM][DIM], volatile real c, volatile real s, volatile int e, volatile int f)
	Rotate matrix. More...
__device__ int	calculateAllEigenvalues (real M[DIM][DIM], real eigenvalues[DIM], real v[DIM][DIM])
	Computes all eigenvalues and eigenvectors of the symmetric matrix M. More...
__device__ real	calculateMaxEigenvalue (real M[DIM][DIM])
	Computes the eigenvalues of the symmetric matrix M. More...
__device__ real	det2x2 (real a, real b, real c, real d)
	Determinant of a 2x2 matrix. More...
__device__ int	invertMatrix (real *m, real *inverted)
	Invert matrix. More...

Function Documentation

calculateAllEigenvalues()

__device__ int CudaUtils::calculateAllEigenvalues	(	real	M[DIM][DIM],
		real	eigenvalues[DIM],
		real	v[DIM][DIM]
	)

Computes all eigenvalues and eigenvectors of the symmetric matrix M.

using the jacobi method and stores them in eigenvals and the eigenvecs as columns in the transformation matrix v

Parameters

M
eigenvalues
v

Returns

number of iterations

Definition at line 159 of file linalg.cu.

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calculateMaxEigenvalue()

__device__ real CudaUtils::calculateMaxEigenvalue

(

real

M[DIM][DIM]

)

Computes the eigenvalues of the symmetric matrix M.

Using the jacobi method.

Parameters

M

Returns

Greatest eigenvalue

Definition at line 224 of file linalg.cu.

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copyMatrix()

__device__ void CudaUtils::copyMatrix	(	real	src[DIM][DIM],
		real	dst[DIM][DIM]
	)

Deep copy of matrix.

Parameters

[in]	src	Source matrix
[out]	dst	Destination matrix

Definition at line 16 of file linalg.cu.

det2x2()

__device__ real CudaUtils::det2x2	(	real	a,
		real	b,
		real	c,
		real	d
	)

Determinant of a 2x2 matrix.

Parameters

a
b
c
d

Returns

Definition at line 275 of file linalg.cu.

identityMatrix()

__device__ void CudaUtils::identityMatrix

(

real

A[DIM][DIM]

)

Return identity matrix.

Parameters

[in,out]

A

Identity matrix.

Definition at line 80 of file linalg.cu.

invertMatrix()

__device__ int CudaUtils::invertMatrix	(	real *	m,
		real *	inverted
	)

Invert matrix.

Parameters

[in]	m
[out]	inverted

Returns

Definition at line 279 of file linalg.cu.

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maxMatrix()

__device__ int CudaUtils::maxMatrix	(	real	M[DIM][DIM],
		int *	e,
		int *	f,
		real *	elmax
	)

Returns the indices of the greatest non-diagonal element of the matrix M.

Parameters

M	Relevant matrix
e
f
elmax

Returns

error code

Definition at line 92 of file linalg.cu.

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multiply()

__device__ void CudaUtils::multiply	(	real	A[][DIM],
		real	B[][DIM],
		real	C[][DIM]
	)

Multiply.

Parameters

[in]	A
[in]	B
[out]	C

Definition at line 69 of file linalg.cu.

multiplyMatrix()

__device__ void CudaUtils::multiplyMatrix	(	real	A[DIM][DIM],
		real	B[DIM][DIM],
		real	C[DIM][DIM]
	)

Multiply two matrices.

Parameters

[in]	A	Matrix A
[in]	B	Matrix B
[out]	C	Result matrix

Definition at line 43 of file linalg.cu.

rotateMatrix()

__device__ void CudaUtils::rotateMatrix	(	volatile real	m[DIM][DIM],
		volatile real	c,
		volatile real	s,
		volatile int	e,
		volatile int	f
	)

Rotate matrix.

Returns: M' = A^T M A, and A_ef = s = -A_ef, A_ee = A_ff = c

Parameters

m
c
s
e
f

Definition at line 118 of file linalg.cu.

sign()

__device__ int CudaUtils::sign

(

real

x

)

Get sign of floating point variable.

Parameters

x	Floating point variable

Returns

Sign of floating point variable (-1, 0, 1)

Definition at line 5 of file linalg.cu.

stressIndex()

__device__ int CudaUtils::stressIndex	(	int	particleIndex,
		int	row,
		int	col
	)

map [i][j] to [i*DIM*DIM+j] for the tensors

Definition at line 11 of file linalg.cu.

transposeMatrix()

__device__ void CudaUtils::transposeMatrix

(

real

m[DIM][DIM]

)

Transpose matrix.

Parameters

[in,out]

m

Matrix to be transposed

Definition at line 27 of file linalg.cu.