SheafSystem  0.0.0.0
fiber_bundle::integrable_section_evaluator Class Referenceabstract

An abstract section evaluator with a bounded domain that supports integration (volume calculation) as well as differntiation. More...

#include <integrable_section_evaluator.h>

Inheritance diagram for fiber_bundle::integrable_section_evaluator:
fiber_bundle::differentiable_section_evaluator fiber_bundle::section_evaluator sheaf::any fiber_bundle::linear_fcn_space fiber_bundle::bilinear_2d fiber_bundle::constant_fcn_space fiber_bundle::linear_1d fiber_bundle::linear_2d fiber_bundle::linear_3d fiber_bundle::quadratic_1d fiber_bundle::quadratic_2d fiber_bundle::quadratic_3d fiber_bundle::trilinear_3d fiber_bundle::uniform_1d fiber_bundle::uniform_2d fiber_bundle::uniform_3d

INTEGRABLE_SECTION_EVALUATOR FACET

 integrable_section_evaluator (const integrable_section_evaluator &xother)
 Copy constructor. More...
 
virtual ~integrable_section_evaluator ()
 Destructor. More...
 
virtual value_type volume (const dof_type xcoord_dofs[], size_type xcoord_dofs_ub, size_type xdf)=0
 Volume for specified coordinate dofs xcoord_dofs and fiber space dimension xdf. 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)=0
 Computes the value of the integral of the integrand array... 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 void gauss_point (pod_index_type xindex, coord_type xresult[], size_type xresult_ub)=0
 The local coordinates of the gauss point with index xindex. More...
 
 integrable_section_evaluator ()
 Default constructor. More...
 

ANY FACET

virtual integrable_section_evaluatorclone () const =0
 Virtual constructor, makes a new instance of the same type as this. More...
 
virtual integrable_section_evaluatoroperator= (const integrable_section_evaluator &xother)
 Assignment operator. More...
 
virtual bool invariant () const
 Class invariant. More...
 
virtual bool is_ancestor_of (const any *other) 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::differentiable_section_evaluator
 differentiable_section_evaluator (const differentiable_section_evaluator &xother)
 Copy constructor. More...
 
virtual ~differentiable_section_evaluator ()
 Destructor. 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 =0
 First partial derivative of this with respect to local coordinate xlocal_coord_index. 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...
 
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...
 
const value_typejacobian_values () const
 The result of the preceding call to jacobian. 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 differentiable_section_evaluatoroperator= (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...
 
virtual int db () const =0
 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 =0
 The local coordinates of the dof with local index xindex. 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...
 
virtual bool in_standard_domain (const dof_type xlocal_coords[], size_type xlocal_coords_ub) const =0
 True if the specified local coordinates are in the "standard" domain. More...
 
bool in_standard_domain (const block< dof_type > &xlocal_coords) const
 True if the specified local coordinates are in the "standard" domain. More...
 
virtual size_type dof_ct () const =0
 The number of dofs required for each component of the dependent variable. 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...
 
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 =0
 Values at a specified local_coordinate. Multiple 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...
 
virtual void coord_at_value (const dof_type xdofs[], size_type xdofs_ub, const dof_type xvalue[], size_type xvalue_ub, dof_type xlocal_coords[], size_type xlocal_coords_ub) const =0
 The local coordinates of a point at which the field has the value xvalue. The dofs are assumed to be interleaved. 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...
 
virtual section_evaluatoroperator= (const section_evaluator &xother)
 Assignment operator. 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 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::differentiable_section_evaluator
value_type_jacobian_values
 The result of the preceding call to "jacobian". More...
 

Detailed Description

An abstract section evaluator with a bounded domain that supports integration (volume calculation) as well as differntiation.

Definition at line 41 of file integrable_section_evaluator.h.

Constructor & Destructor Documentation

◆ integrable_section_evaluator() [1/2]

fiber_bundle::integrable_section_evaluator::integrable_section_evaluator ( const integrable_section_evaluator xother)

Copy constructor.

Postcondition

Definition at line 34 of file integrable_section_evaluator.cc.

References ~integrable_section_evaluator().

◆ ~integrable_section_evaluator()

fiber_bundle::integrable_section_evaluator::~integrable_section_evaluator ( )
virtual

Destructor.

Postcondition

Definition at line 51 of file integrable_section_evaluator.cc.

References volume().

Referenced by integrable_section_evaluator().

◆ integrable_section_evaluator() [2/2]

fiber_bundle::integrable_section_evaluator::integrable_section_evaluator ( )
protected

Default constructor.

Postcondition

Definition at line 187 of file integrable_section_evaluator.cc.

References clone().

Referenced by gauss_point().

Member Function Documentation

◆ clone()

◆ gauss_point()

void fiber_bundle::integrable_section_evaluator::gauss_point ( pod_index_type  xindex,
coord_type  xresult[],
size_type  xresult_ub 
)
pure virtual

The local coordinates of the gauss point with index xindex.

Precondition
  • xresult_ub >= db()
Is Abstract.
Postcondition
  • in_standard_domain(xresult, xresult_ub)

Implemented in fiber_bundle::bilinear_2d, fiber_bundle::linear_3d, fiber_bundle::linear_2d, fiber_bundle::trilinear_3d, fiber_bundle::linear_1d, fiber_bundle::uniform_2d, fiber_bundle::quadratic_1d, fiber_bundle::uniform_1d, fiber_bundle::uniform_3d, fiber_bundle::quadratic_2d, fiber_bundle::quadratic_3d, and fiber_bundle::constant_fcn_space.

Definition at line 162 of file integrable_section_evaluator.cc.

References integrable_section_evaluator().

Referenced by integrate().

◆ integrate() [1/2]

void fiber_bundle::integrable_section_evaluator::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 
)
pure virtual

Computes the value of the integral of the integrand array...

Todo:
Get these correct.
Precondition
  • xcoord_dofs != 0
  • xcoord_dofs_ub >= 0
  • xintegrands != 0
  • xintegrands_ub >= 0
  • xresult_integrals != 0
  • xresult_integrals_ub > 0
Is Abstract.
Postcondition

Implemented in fiber_bundle::bilinear_2d, fiber_bundle::linear_2d, fiber_bundle::quadratic_1d, fiber_bundle::quadratic_3d, and fiber_bundle::constant_fcn_space.

Definition at line 95 of file integrable_section_evaluator.cc.

Referenced by volume().

◆ integrate() [2/2]

void fiber_bundle::integrable_section_evaluator::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 
)
virtual

Computes the value of the integral of the integrand...

Todo:
Get these correct.
Precondition
  • xcoord_dofs != 0
  • xcoord_dofs_ub >= 0
  • xresult_integrals != 0
  • xresult_integrals_ub >= 0
Postcondition

Reimplemented in fiber_bundle::bilinear_2d, fiber_bundle::linear_2d, fiber_bundle::quadratic_1d, and fiber_bundle::quadratic_3d.

Definition at line 130 of file integrable_section_evaluator.cc.

References gauss_point().

◆ invariant()

◆ is_ancestor_of()

◆ operator=()

fiber_bundle::integrable_section_evaluator & fiber_bundle::integrable_section_evaluator::operator= ( const integrable_section_evaluator xother)
virtual

Assignment operator.

Precondition
  • is_ancestor_of(&xother)
Not Implemented.
Postcondition

Definition at line 236 of file integrable_section_evaluator.cc.

References invariant().

Referenced by clone().

◆ volume()


The documentation for this class was generated from the following files: