Intrepid_Types.hpp File Reference

Contains definitions of custom data types in Intrepid. More...

#include <Teuchos_ScalarTraits.hpp>

Go to the source code of this file.

Classes
struct	Intrepid::CubatureTemplate
	Template for the cubature rules used by Intrepid. Cubature template consists of cubature points and cubature weights. Intrepid provides a collection of cubature templates for most standard cell topologies. The templates are defined in reference coordinates using a standard reference cell for each canonical cell type. Cubature points are always specified by a triple of (X,Y,Z) coordinates even if the cell dimension is less than 3. The unused dimensions should be padded by zeroes. More...

Macros
#define	INTREPID_VALIDATE(A)   /* empty */
#define	INTREPID_MAX_ORDER   10
	The maximum reconstruction order.
#define	INTREPID_MAX_INTEGRATION_POINTS   1001
	The maximum number of integration points for direct cubature rules.
#define	INTREPID_MAX_CUBATURE_DEGREE_EDGE   61
	The maximum degree of the polynomial that can be integrated exactly by a direct edge rule.
#define	INTREPID_MAX_CUBATURE_DEGREE_TRI   20
	The maximum degree of the polynomial that can be integrated exactly by a direct triangle rule.
#define	INTREPID_MAX_CUBATURE_DEGREE_TET   20
	The maximum degree of the polynomial that can be integrated exactly by a direct tetrahedron rule.
#define	INTREPID_MAX_CUBATURE_DEGREE_PYR   11
	The maximum degree of the polynomial that can be integrated exactly by a direct pyramid rule.
#define	INTREPID_MAX_DIMENSION   3
	The maximum ambient space dimension.
#define	INTREPID_MAX_NEWTON   15
	Maximum number of Newton iterations used internally in methods such as computing the action of the inverse reference to physical cell map.
#define	INTREPID_MAX_DERIVATIVE   10
	Maximum order of derivatives allowed in intrepid.

Enumerations
enum	ECoordinates {   COORDINATES_CARTESIAN =0, COORDINATES_POLAR, COORDINATES_CYLINDRICAL, COORDINATES_SPHERICAL,   COORDINATES_MAX }
	Enumeration of coordinate systems for geometrical entities (cells, points).
enum	ENorm {   NORM_ONE = 0, NORM_TWO, NORM_INF, NORM_FRO,   NORM_MAX }
	Enumeration of norm types for vectors and functions.
enum	EOperator {   OPERATOR_VALUE = 0, OPERATOR_GRAD, OPERATOR_CURL, OPERATOR_DIV,   OPERATOR_D1, OPERATOR_D2, OPERATOR_D3, OPERATOR_D4,   OPERATOR_D5, OPERATOR_D6, OPERATOR_D7, OPERATOR_D8,   OPERATOR_D9, OPERATOR_D10, OPERATOR_MAX }
	Enumeration of primitive operators available in Intrepid. Primitive operators act on reconstructed functions or basis functions. Pairs of primitive operators are used to specify what kind of local weak operator should be constructed.
enum	EFunctionSpace {   FUNCTION_SPACE_HGRAD = 0, FUNCTION_SPACE_HCURL, FUNCTION_SPACE_HDIV, FUNCTION_SPACE_HVOL,   FUNCTION_SPACE_VECTOR_HGRAD, FUNCTION_SPACE_TENSOR_HGRAD, FUNCTION_SPACE_MAX }
enum	EDiscreteSpace { DISCRETE_SPACE_COMPLETE = 0, DISCRETE_SPACE_INCOMPLETE, DISCRETE_SPACE_BROKEN, DISCRETE_SPACE_MAX }
	Enumeration of the discrete spaces used to define bases for function spaces. Intrepid allows up to three basic kinds of discrete spaces for each cell type. More...
enum	EPointType { POINTTYPE_EQUISPACED = 0, POINTTYPE_SPECTRAL, POINTTYPE_SPECTRAL_OPEN, POINTTYPE_WARPBLEND }
	Enumeration of types of point distributions in Intrepid.
enum	EBasis {   BASIS_FEM_DEFAULT = 0, BASIS_FEM_HIERARCHICAL, BASIS_FEM_FIAT, BASIS_FVD_DEFAULT,   BASIS_FVD_COVOLUME, BASIS_FVD_MIMETIC, BASIS_MAX }
	Enumeration of basis types for discrete spaces in Intrepid.
enum	ECompEngine { COMP_CPP = 0, COMP_BLAS, COMP_ENGINE_MAX }
	Specifies how operators and functionals are computed internally (COMP_MANUAL = native C++ implementation, COMP_BLAS = BLAS implementation, etc.).

Functions
std::string	Intrepid::ECoordinatesToString (ECoordinates coords)
int	Intrepid::isValidCoordinate (ECoordinates coordinateType)
	Verifies validity of a Coordinate enum. More...
std::string	Intrepid::ENormToString (ENorm norm)
int	Intrepid::isValidNorm (ENorm normType)
	Verifies validity of a Norm enum. More...
std::string	Intrepid::EOperatorToString (EOperator op)
EOperator &	Intrepid::operator++ (EOperator &type)
EOperator	Intrepid::operator++ (EOperator &type, int)
EOperator &	Intrepid::operator-- (EOperator &type)
EOperator	Intrepid::operator-- (EOperator &type, int)
int	Intrepid::isValidOperator (const EOperator operatorType)
	Verifies validity of an operator enum. More...
std::string	Intrepid::EFunctionSpaceToString (EFunctionSpace space)
int	Intrepid::isValidFunctionSpace (const EFunctionSpace spaceType)
	Verifies validity of a function space enum. More...
std::string	Intrepid::EDiscreteSpaceToString (EDiscreteSpace space)
int	Intrepid::isValidDiscreteSpace (const EDiscreteSpace spaceType)
	Verifies validity of a discrete space enum. More...
std::string	Intrepid::EPointTypeToString (EPointType pointType)
int	Intrepid::isValidPointType (const EPointType pointType)
	Verifies validity of a point type enum. More...
std::string	Intrepid::EBasisToString (EBasis basis)
int	Intrepid::isValidBasis (const EBasis basisType)
	Verifies validity of a basis enum. More...
std::string	Intrepid::ECompEngineToString (ECompEngine cEngine)
ECompEngine &	Intrepid::operator++ (ECompEngine &type)
ECompEngine	Intrepid::operator++ (ECompEngine &type, int)
ECompEngine &	Intrepid::operator-- (ECompEngine &type)
ECompEngine	Intrepid::operator-- (ECompEngine &type, int)
int	Intrepid::isValidCompEngine (const ECompEngine compEngType)
	Verifies validity of a computational engine enum. More...

Variables
static const double	Intrepid::INTREPID_EPSILON = std::abs(Teuchos::ScalarTraits<double>::eps())
	Platform-dependent machine epsilon.
static const double	Intrepid::INTREPID_THRESHOLD = 10.0 * INTREPID_EPSILON
	Tolerance for various cell inclusion tests.
static const double	Intrepid::INTREPID_TOL = 10.0* INTREPID_THRESHOLD
	General purpose tolerance in, e.g., internal Newton's method to invert ref to phys maps.

Detailed Description

Contains definitions of custom data types in Intrepid.

Author

Created by P. Bochev and D. Ridzal.

Definition in file Intrepid_Types.hpp.