A section evaluator using trilinear interpolation over a cubic 3D domain. More...

#include <constant_hex.h>

Inheritance diagram for fiber_bundle::constant_hex:

CONSTANT_HEX FACET
	constant_hex ()
	Default constructor. More...

	constant_hex (const constant_hex &xother)
	Copy constructor. More...

virtual	~constant_hex ()
	Destructor. More...

LINEAR_FCN_SPACE FACET
enum	domain_constants { DB =3 }
	The base dimension; the dimension of the local coordinates (static const version). More...

value_type	_basis_deriv_value_buffer [int(DB) *int(DL)]
	Storage for the result of the preceeding call to basis_derivs_at_coord. More...

INTEGRABLE_SECTION_EVALUATOR FACET
virtual value_type	volume (const dof_type xcoord_dofs[], size_type xcoord_dofs_ub, size_type xdf)
	Volume for specified coordinate dofs xcoord_dofs and fiber space dimension xdf. More...

DOMAIN FACET
virtual int	db () const
	The base dimension; the dimension of the local coordinates (independent variable). More...

virtual void	local_coordinates (pod_index_type xindex, coord_type xresult[], size_type xresult_ub) const
	The local coordinates of the dof with local index xindex. More...

virtual bool	in_standard_domain (const dof_type xlocal_coords[], size_type xlocal_coords_ub) const
	Return true if the specified local coordinates are in the "standard" domain; otherwise return false. More...

ANY FACET
virtual constant_hex *	clone () const
	Virtual constructor, creates a new instance of the same type as this. More...

virtual constant_hex &	operator= (const section_evaluator &xother)
	Assignment operator. More...

constant_hex &	operator= (const constant_hex &xother)
	Assignment operator. More...

virtual bool	invariant () const
	Class invariant. More...

virtual bool	is_ancestor_of (const any *xother) const
	Conformance test; true if other conforms to this. More...

Additional Inherited Members
Public Types inherited from fiber_bundle::section_evaluator
typedef chart_point_coord_type	coord_type
	The type of local coordinate; the scalar type for the local coordinate vector space. More...

typedef vd_value_type	value_type
	The type of component in the value; the scalar type in the range vector space. More...

typedef sec_vd_dof_type	dof_type
	The type of degree of freedom. More...

Public Member Functions inherited from fiber_bundle::constant_fcn_space
	constant_fcn_space ()
	Default constructor. More...

	constant_fcn_space (const constant_fcn_space &xother)
	Copy constructor. More...

virtual int	dl () const
	The dimension of this function space. More...

virtual void	basis_at_coord (const dof_type xlocal_coord[], size_type xlocal_coord_ub)
	Computes the value of each basis function at local coordinates xlocal_coord. More...

virtual void	basis_derivs_at_coord (const dof_type xlocal_coords[], size_type xlocal_coords_ub)
	Computes the value of the derivatives of each basis function at local coordinates xlocal_coords. More...

virtual void	integrate (const dof_type xcoord_dofs[], size_type xcoord_dofs_ub, size_type xdf, const dof_type xintegrands[], size_type xintegrands_ub, value_type xresult_integrals[], size_type xresult_integrals_ub)
	Computes the value of the integral of the integrand array... More...

virtual void	gauss_point (pod_index_type xindex, coord_type xresult[], size_type xresult_ub)
	The local coordinates of the gauss point with index xindex. More...

virtual void	dxi_local (size_type xlocal_coord_index, const dof_type xsource_dofs[], size_type xsource_dofs_ub, dof_type xresult_dofs[], size_type xresult_dofs_ub) const
	First partial derivative of this with respect to local coordinate xlocal_coord_index. More...

virtual void	jacobian (const dof_type xcoord_dofs[], size_type xcoord_dofs_ub, size_type xdf, const dof_type xlocal_coords[], size_type xlocal_coords_ub)
	Computes the the jacobian matrix at local coordinates xlocal_coords with coordinate dofs xcoord_dofs. More...

virtual value_type	jacobian_determinant (const dof_type xcoord_dofs[], size_type xcoord_dofs_ub, size_type xdf, const coord_type xlocal_coords[], size_type xlocal_coords_ub)
	Computes the the determinant of the jacobian matrix at local coordinates xlocal_coords with coordinate dofs xcoord_dofs. More...

virtual void	value_at_coord (const dof_type xdofs[], size_type xdofs_ub, const dof_type xlocal_coords[], size_type xlocal_coords_ub, dof_type xresult[], size_type xresult_ub) const
	Computes the value of the function at local coordinates xlocal_coords using the degrees of freedom xdofs. More...

virtual void	coord_at_value (const dof_type xdofs[], size_type xdofs_ub, const dof_type xglobal_coords[], size_type xglobal_coord_ub, dof_type xlocal_coords[], size_type xlocal_coords_ub) const
	The local coordinates of a point at which the field has the value xvalue. More...

constant_fcn_space &	operator= (const constant_fcn_space &xother)
	Assignment operator. More...

virtual	~constant_fcn_space ()
	Destructor. More...

Public Member Functions inherited from fiber_bundle::linear_fcn_space
	linear_fcn_space (const linear_fcn_space &xother)
	Copy constructor. More...

virtual	~linear_fcn_space ()
	Destructor. More...

const value_type *	basis_values () const
	The result of the preceding call to basis_at_coord. More...

const value_type *	basis_deriv_values () const
	The result of the preceding call to basis_derivs_at_coord. More...

virtual size_type	dof_ct () const
	The number of dofs required for each component of the dependent variable. More...

linear_fcn_space &	operator= (const linear_fcn_space &xother)
	Assignment operator. More...

Public Member Functions inherited from fiber_bundle::integrable_section_evaluator
	integrable_section_evaluator (const integrable_section_evaluator &xother)
	Copy constructor. More...

virtual	~integrable_section_evaluator ()
	Destructor. More...

virtual void	integrate (const dof_type xcoord_dofs[], size_type xcoord_dofs_ub, size_type xdf, const dof_type xintegrand, value_type xresult_integrals[], size_type xresult_integrals_ub)
	Computes the value of the integral of the integrand... More...

virtual integrable_section_evaluator &	operator= (const integrable_section_evaluator &xother)
	Assignment operator. More...

Public Member Functions inherited from fiber_bundle::differentiable_section_evaluator
	differentiable_section_evaluator (const differentiable_section_evaluator &xother)
	Copy constructor. More...

virtual	~differentiable_section_evaluator ()
	Destructor. More...

void	dxi_local (size_type xlocal_coord_index, const block< dof_type > &xsource_dofs, block< dof_type > &xresult_dofs) const
	First partial derivative of this with respect to local coordinate xlocal_coord_index. More...

const value_type *	jacobian_values () const
	The result of the preceding call to jacobian. More...

virtual differentiable_section_evaluator &	operator= (const differentiable_section_evaluator &xother)
	Assignment operator. More...

Public Member Functions inherited from fiber_bundle::section_evaluator
	section_evaluator (const section_evaluator &xother)
	Copy constructor. More...

virtual	~section_evaluator ()
	Destructor. More...

void	local_coordinates (pod_index_type xindex, block< coord_type > &xresult) const
	The local coordinates of the dof with local index xindex. More...

virtual void	center (coord_type xresult[], size_type xresult_ub) const
	The local coordinates at the center of the evaluator. More...

void	center (block< coord_type > &xresult) const
	The local coordinates at the center of the evaluator. More...

bool	in_standard_domain (const block< dof_type > &xlocal_coords) const
	True if the specified local coordinates are in the "standard" domain. More...

bool	df_is_variable () const
	True if and only if the fiber dimension (number of components of the dependent variable) is variable. More...

virtual int	df () const
	The fiber dimension (number of components of dependent variable). More...

virtual dof_type	value_at_coord (const dof_type xdofs[], size_type xdofs_ub, const dof_type xlocal_coords[], size_type xlocal_coords_ub) const
	Value at a specified local_coordinate. Single component version. More...

dof_type	value_at_coord (const block< dof_type > &xdofs, const block< dof_type > &xlocal_coords) const
	Value at a specified local_coordinate. Single component version. More...

void	value_at_coord (const block< dof_type > &xdofs, const block< dof_type > &xlocal_coords, block< dof_type > &xresult) const
	Values at a specified local_coordinate. Multiple component version. More...

void	coord_at_value (const block< dof_type > &xdofs, const block< dof_type > &xvalue, block< dof_type > &xlocal_coords) const
	The local coordinates of a point at which the field has the value xvalue. The dofs are assumed to be interleaved. More...

virtual dof_type	min (const dof_type xdofs[], size_type xdofs_ub) const
	The minimum value of the scalar or component section defined by xdofs. More...

dof_type	min (const block< dof_type > &xdofs) const
	The minimum value of the scalar or component section defined by xdofs. More...

virtual void	min (const dof_type xdofs[], size_type xdofs_ub, dof_type xresult[], size_type xresult_ub) const
	The minimum value of the vector section defined by xdofs. More...

void	min (const block< dof_type > &xdofs, block< dof_type > &xresult) const
	The minimum value of the vector section defined by xdofs. More...

virtual dof_type	max (const dof_type xdofs[], size_type xdofs_ub) const
	The maximum value of the scalar or component section defined by xdofs. More...

dof_type	max (const block< dof_type > &xdofs) const
	The maximum value of the scalar or component section defined by xdofs. More...

virtual void	max (const dof_type xdofs[], size_type xdofs_ub, dof_type xresult[], size_type xresult_ub) const
	The maximum value of the vector section defined by xdofs. More...

void	max (const block< dof_type > &xdofs, block< dof_type > &xresult) const
	The maximum value of the vector section defined by xdofs. More...

Public Member Functions inherited from sheaf::any
bool	is_same_type (const any *other) const
	True if other is the same type as this. More...

virtual	~any ()
	Destructor. More...

bool	invariant_check () const
	True if invariant checking is enabled. More...

void	enable_invariant_check () const
	Enable invariant checking. More...

void	disable_invariant_check () const
	Disable invariant check. Intended for preventing recursive calls to invariant and for suppressing invariant checking during multi-phase initialization. More...

int	disable_invariance_check_request_depth () const
	Number of times disable_invariant_check has been called without matching call to enable_invariant_check. More...

Protected Types inherited from fiber_bundle::constant_fcn_space
enum	static_const_int { DL = 1 }
	The dimension of this function space; static const version. More...

Protected Member Functions inherited from fiber_bundle::linear_fcn_space
	linear_fcn_space ()
	Default constructor. More...

Protected Member Functions inherited from fiber_bundle::integrable_section_evaluator
	integrable_section_evaluator ()
	Default constructor. More...

Protected Member Functions inherited from fiber_bundle::differentiable_section_evaluator
	differentiable_section_evaluator ()
	Default constructor. More...

Protected Member Functions inherited from fiber_bundle::section_evaluator
	section_evaluator ()
	Default constructor. More...

Protected Member Functions inherited from sheaf::any
	any ()
	default constructor More...

Protected Attributes inherited from fiber_bundle::constant_fcn_space
value_type	_basis_value_buffer [DL]
	Storage for the result of the preceeding call to basis_at_coord. More...

Protected Attributes inherited from fiber_bundle::linear_fcn_space
value_type *	_basis_values
	The result of the preceding call to basis_at_coord. More...

value_type *	_basis_deriv_values
	The result of the preceding call to basis_derivs_at_coord. More...

Protected Attributes inherited from fiber_bundle::differentiable_section_evaluator
value_type *	_jacobian_values
	The result of the preceding call to "jacobian". More...