util Namespace Reference

Collection of methods useful in simulation. More...

Namespaces
	compare
	Provides comparison of floating point values
	function
	Provides geometrical methods such as point inside rectangle.
	geometry
	Provides geometrical methods such as point inside rectangle.
	io
	Provides geometrical methods such as point inside rectangle.
	methods
	Provides fast methods to add/subtract list of data, to find maximum/minimum from list of data.
	transformation
	Provides geometrical methods such rotation of a vector.

Data Structures
struct	Matrix3
	A structure to represent 3d matrices. More...
struct	Point3
	A structure to represent 3d vectors. More...
class	StateBasedHelperFunctions
	A class for global methods of state-based material models. More...
struct	SymMatrix3
	A structure to represent 3d matrices. More...

Typedefs
typedef blaze::IdentityMatrix< double >	IdentityMatrix
	Blaze: Identity matrix.
typedef blaze::IdentityMatrix< float >	IdentityMatrixF
	Blaze: Identity matrix.
typedef blaze::StaticMatrix< double, 3UL, 3UL >	Matrix33
	Blaze: Definition of 3 x 3 matrix.
typedef blaze::StaticMatrix< float, 3UL, 3UL >	MatrixF33
	Blaze: Definition of 3 x 3 matrix.
typedef blaze::DynamicMatrix< float >	MatrixFij
	Blaze: Definition of n x m matrix.
typedef blaze::DynamicMatrix< double >	Matrixij
	Blaze: Definition of n x m matrix.
typedef blaze::SymmetricMatrix< blaze::StaticMatrix< double, 3UL, 3UL > >	SymMatrix33
	Blaze: Definition of 3 x 3 symmetric matrix.
typedef blaze::SymmetricMatrix< blaze::StaticMatrix< float, 3UL, 3UL > >	SymMatrixF33
	Blaze: Definition of 3 x 3 symmetric matrix.
typedef blaze::SymmetricMatrix< blaze::DynamicMatrix< float > >	SymMatrixFij
	Blaze: Definition of n x n symmetric matrix.
typedef blaze::SymmetricMatrix< blaze::DynamicMatrix< double > >	SymMatrixij
	Blaze: Definition of n x n symmetric matrix.
typedef blaze::StaticVector< double, 3UL >	Vector3
	Blaze: Definition of 3D vector.
typedef blaze::StaticVector< float, 3UL >	VectorF3
	Blaze: Definition of 3D vector.
typedef blaze::DynamicVector< float, blaze::columnVector >	VectorFXi
	Blaze: Definition of vector.
typedef blaze::DynamicVector< double, blaze::columnVector >	VectorXi
	Blaze: Definition of vector.

Functions
bool	checkMatrix (const std::vector< std::vector< double >> &m)
	Checks matrix. More...
double	det (const std::vector< std::vector< double >> &m)
	Computes the determinant of matrix. More...
std::vector< double >	dot (const std::vector< std::vector< double >> &m, const std::vector< double > &v)
	Computes the dot product between matrix and vector. More...
std::vector< std::vector< double > >	inv (const std::vector< std::vector< double >> &m)
	Computes the determinant of matrix. More...
double	l2Norm (util::VectorXi vec)
std::ostream &	operator<< (std::ostream &os, const Point3 p)
std::vector< std::vector< double > >	transpose (const std::vector< std::vector< double >> &m)
	Computes the transpose of matrix. More...

Variables
VTK Element types
static const int	vtk_type_vertex = 1
	Element type (for vtk)
static const int	vtk_type_poly_vertex = 2
static const int	vtk_type_line = 3
static const int	vtk_type_poly_line = 4
static const int	vtk_type_triangle = 5
static const int	vtk_type_triangle_strip = 6
static const int	vtk_type_polygon = 7
static const int	vtk_type_pixel = 8
static const int	vtk_type_quad = 9
static const int	vtk_type_tetra = 10
static const int	vtk_type_voxel = 11
static const int	vtk_type_hexahedron = 12
static const int	vtk_type_wedge = 13
static const int	vtk_type_pyramid = 14
static int	vtk_map_element_to_num_nodes [16]
	Map from element type to number of nodes (for vtk) More...
static int	vtk_to_msh_element_type_map [16]
	Map from vtk element type to msh element type. More...
Gmsh Element types
static const int	msh_type_line = 1
	Element type (for gmsh)
static const int	msh_type_triangle = 2
static const int	msh_type_quadrangle = 3
static const int	msh_type_tetrahedron = 4
static const int	msh_type_hexahedron = 5
static const int	msh_type_prism = 6
static const int	msh_type_pyramid = 7
static const int	msh_type_line_second_order = 8
static const int	msh_type_traingle_second_order = 9
static const int	msh_type_quadrangle_second_order = 10
static const int	msh_type_vertex = 15
static int	msh_map_element_to_num_nodes [16]
	Map from element type to number of nodes (for msh) More...

Detailed Description

Collection of methods useful in simulation.

This namespace provides number of useful functions and struct definition.

See also

Point3, Matrix3, SymMatrix3, compare, transformation

Function Documentation

checkMatrix()

bool util::checkMatrix

(

const std::vector< std::vector< double >> &

m

)

Checks matrix.

Parameters

m

Matrix

Returns

true If matrix is okay

Referenced by det(), dot(), inv(), and transpose().

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det()

double util::det

(

const std::vector< std::vector< double >> &

m

)

Computes the determinant of matrix.

Parameters

m

Matrix

Returns

det Determinant

Referenced by fe::TetElem::getJacobian(), and inv().

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dot()

std::vector< double > util::dot	(	const std::vector< std::vector< double >> &	m,
		const std::vector< double > &	v
	)

Computes the dot product between matrix and vector.

Parameters

m	Matrix
v	vector

Returns

vector Dot product

Referenced by util::geometry::angle(), fe::TetElem::getDerShapes(), fe::TetElem::getQuadDatas(), and fe::TetElem::mapPointToRefElem().

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inv()

std::vector< std::vector< double > > util::inv

(

const std::vector< std::vector< double >> &

m

)

Computes the determinant of matrix.

Parameters

m

Matrix

Returns

inv Inverse of m

Referenced by fe::TetElem::getDerShapes(), fe::TetElem::getQuadDatas(), and fe::TetElem::mapPointToRefElem().

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l2Norm()

double util::l2Norm ( util::VectorXi  vec )

inline

Computes the l2 norm of a vector

Parameters

vec

Vector

Returns

The l2 norm of the vector

Referenced by model::QuasiStaticModel< T >::solver().

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operator<<()

std::ostream& util::operator<< ( std::ostream &  os, const Point3  p  )

inline

Parameters

os	Standard output stream
p	Point

Returns

The standard out stream

transpose()

std::vector< std::vector< double > > util::transpose

(

const std::vector< std::vector< double >> &

m

)

Computes the transpose of matrix.

Parameters

m

Matrix

Returns

Matrix Transpose of m

Referenced by fe::TetElem::mapPointToRefElem().

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