SheafSystem  0.0.0.0
fiber_bundle::quadratic_3d Class Reference

A section evaluator using quadratic interpolation over a tetrahedral 3D domain. More...

#include <quadratic_3d.h>

Inheritance diagram for fiber_bundle::quadratic_3d:
fiber_bundle::linear_fcn_space fiber_bundle::integrable_section_evaluator fiber_bundle::differentiable_section_evaluator fiber_bundle::section_evaluator sheaf::any

QUADRATIC_3D FACET

 quadratic_3d ()
 Default constructor. More...
 
 quadratic_3d (const quadratic_3d &xother)
 Copy constructor. More...
 
virtual ~quadratic_3d ()
 Destructor. More...
 

LINEAR_FCN_SPACE FACET

Todo:
Fix!
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...
 

INTEGRABLE_SECTION_EVALUATOR FACET

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 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...
 
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 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)
 The local coordinates of the gauss point with index xindex. More...
 

DIFFERENTIABLE_SECTION_EVALUATOR FACET

virtual void dxi_local (size_type xcrd, const dof_type xsource_dofs[], size_type xsource_dofs_ub, dof_type xresult_dofs[], size_type xresult_dofs_ub) const
 1st partial derivative of this with respect to local coordinate xcrd. 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...
 

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...
 

EVALUATION FACET

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. The dofs are assumed to be interleaved (x0, y0, z0, x1, y1, z1, ...). More...
 

ANY FACET

virtual quadratic_3dclone () const
 Virtual constructor, creates a new instance of the same type as this. More...
 
virtual quadratic_3doperator= (const section_evaluator &xother)
 Assignment operator. More...
 
quadratic_3doperator= (const quadratic_3d &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::linear_fcn_space
 linear_fcn_space (const linear_fcn_space &xother)
 Copy constructor. More...
 
virtual ~linear_fcn_space ()
 Destructor. More...
 
const value_typebasis_values () const
 The result of the preceding call to basis_at_coord. More...
 
const value_typebasis_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...
 
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...
 
linear_fcn_spaceoperator= (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 integrable_section_evaluatoroperator= (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_typejacobian_values () const
 The result of the preceding call to jacobian. 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...
 
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 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::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...
 

Detailed Description

A section evaluator using quadratic interpolation over a tetrahedral 3D domain.

Definition at line 37 of file quadratic_3d.h.

Constructor & Destructor Documentation

◆ quadratic_3d() [1/2]

fiber_bundle::quadratic_3d::quadratic_3d ( )

Default constructor.

Postcondition

Definition at line 35 of file quadratic_3d.cc.

◆ quadratic_3d() [2/2]

fiber_bundle::quadratic_3d::quadratic_3d ( const quadratic_3d xother)

Copy constructor.

Postcondition

Definition at line 54 of file quadratic_3d.cc.

References ~quadratic_3d().

◆ ~quadratic_3d()

fiber_bundle::quadratic_3d::~quadratic_3d ( )
virtual

Destructor.

Postcondition

Definition at line 73 of file quadratic_3d.cc.

References dl().

Referenced by quadratic_3d().

Member Function Documentation

◆ basis_at_coord()

void fiber_bundle::quadratic_3d::basis_at_coord ( const dof_type  xlocal_coord[],
size_type  xlocal_coord_ub 
)
virtual

Computes the value of each basis function at local coordinates xlocal_coord.

Precondition
  • xlocal_coord != 0
  • xlocal_coord_ub >= db()
Postcondition

Implements fiber_bundle::linear_fcn_space.

Definition at line 115 of file quadratic_3d.cc.

References basis_derivs_at_coord().

Referenced by dl().

◆ basis_derivs_at_coord()

void fiber_bundle::quadratic_3d::basis_derivs_at_coord ( const dof_type  xlocal_coords[],
size_type  xlocal_coords_ub 
)
virtual

Computes the value of the derivatives of each basis function at local coordinates xlocal_coords.

Precondition
  • xlocal_coord != 0
  • xlocal_coord_ub >= db()
Todo:
Implement.

Not Implemented.

Postcondition

Implements fiber_bundle::linear_fcn_space.

Definition at line 154 of file quadratic_3d.cc.

References jacobian_determinant().

Referenced by basis_at_coord().

◆ clone()

fiber_bundle::quadratic_3d * fiber_bundle::quadratic_3d::clone ( ) const
virtual

Virtual constructor, creates a new instance of the same type as this.

Postcondition
  • result != 0
  • is_same_type(result)

Implements fiber_bundle::linear_fcn_space.

Definition at line 745 of file quadratic_3d.cc.

References invariant(), and operator=().

Referenced by coord_at_value().

◆ coord_at_value()

void fiber_bundle::quadratic_3d::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
virtual

The local coordinates of a point at which the field has the value xvalue. The dofs are assumed to be interleaved (x0, y0, z0, x1, y1, z1, ...).

Precondition
  • xdofs != 0
  • xdofs_ub >= 30
  • xglobal_coords != 0
  • xglobal_coord_ub >= 3
  • xlocal_coords != 0
  • xlocal_coords_ub >= 3
Todo:
Decide what order the coordinates will be in. The following assumes the corner nodes come first.
Hack:
commented out to suppress compiler warnings about declared but not referenced.
Todo:
Finish: What is below is copied from linear_3d.
Hack:
commented out to suppress compiler warnings about declared but not referenced.
Postcondition
Issue:
Made unexecutable because it is true only in exact arithmetic.

Implements fiber_bundle::section_evaluator.

Definition at line 525 of file quadratic_3d.cc.

References clone().

Referenced by in_standard_domain().

◆ db()

int fiber_bundle::quadratic_3d::db ( ) const
virtual

The base dimension; the dimension of the local coordinates (independent variable).

Postcondition
  • result == 3

Implements fiber_bundle::section_evaluator.

Definition at line 418 of file quadratic_3d.cc.

References local_coordinates().

Referenced by jacobian().

◆ dl()

int fiber_bundle::quadratic_3d::dl ( ) const
virtual

The dimension of this function space.

===========================================================

Postcondition
  • result == 10

Implements fiber_bundle::linear_fcn_space.

Definition at line 93 of file quadratic_3d.cc.

References basis_at_coord().

Referenced by ~quadratic_3d().

◆ dxi_local()

void fiber_bundle::quadratic_3d::dxi_local ( size_type  xcrd,
const dof_type  xsource_dofs[],
size_type  xsource_dofs_ub,
dof_type  xresult_dofs[],
size_type  xresult_dofs_ub 
) const
virtual

1st partial derivative of this with respect to local coordinate xcrd.

Precondition
  • xlocal_coord_index < db()
  • xsource_dofs != 0
  • xresult_dofs != 0

Implements fiber_bundle::differentiable_section_evaluator.

Definition at line 349 of file quadratic_3d.cc.

References jacobian().

Referenced by gauss_point().

◆ gauss_point()

void fiber_bundle::quadratic_3d::gauss_point ( pod_index_type  xindex,
coord_type  xresult[],
size_type  xresult_ub 
)
virtual

The local coordinates of the gauss point with index xindex.

Precondition
  • xresult_ub >= db()
Not Implemented.
Todo:
Implement.
Postcondition
  • in_standard_domain(xresult, xresult_ub)

Implements fiber_bundle::integrable_section_evaluator.

Definition at line 317 of file quadratic_3d.cc.

References dxi_local().

Referenced by integrate().

◆ in_standard_domain()

bool fiber_bundle::quadratic_3d::in_standard_domain ( const dof_type  xlocal_coords[],
size_type  xlocal_coords_ub 
) const
virtual

Return true if the specified local coordinates are in the "standard" domain; otherwise return false.

Precondition
  • xlocal_coords != 0
  • xlocal_coords_ub >= 3

Implements fiber_bundle::section_evaluator.

Definition at line 486 of file quadratic_3d.cc.

References coord_at_value().

Referenced by local_coordinates().

◆ integrate() [1/2]

void fiber_bundle::quadratic_3d::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 
)
virtual

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

Todo:
Get these correct.
Precondition
  • xcoord_dofs != 0
  • xcoord_dofs_ub >= dl()*db()
  • xintegrands != 0
  • xintegrands_ub >= dl()
  • xresult_integrals != 0
  • xresult_integrals_ub > 0
Not Implemented.
Todo:
Implement.
Postcondition

Implements fiber_bundle::integrable_section_evaluator.

Definition at line 246 of file quadratic_3d.cc.

Referenced by volume().

◆ integrate() [2/2]

void fiber_bundle::quadratic_3d::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 >= dl()*db()
  • xresult_integrals != 0
  • xresult_integrals_ub >= dl()
Not Implemented.
Todo:
Implement.
Postcondition

Reimplemented from fiber_bundle::integrable_section_evaluator.

Definition at line 283 of file quadratic_3d.cc.

References gauss_point().

◆ invariant()

bool fiber_bundle::quadratic_3d::invariant ( ) const
virtual

Class invariant.

Invariant

Reimplemented from fiber_bundle::linear_fcn_space.

Definition at line 811 of file quadratic_3d.cc.

References is_ancestor_of().

Referenced by clone(), and operator=().

◆ is_ancestor_of()

bool fiber_bundle::quadratic_3d::is_ancestor_of ( const any xother) const
virtual

Conformance test; true if other conforms to this.

Precondition
  • xother != 0

Reimplemented from fiber_bundle::linear_fcn_space.

Definition at line 844 of file quadratic_3d.cc.

Referenced by invariant().

◆ jacobian()

void fiber_bundle::quadratic_3d::jacobian ( const dof_type  xcoord_dofs[],
size_type  xcoord_dofs_ub,
size_type  xdf,
const dof_type  xlocal_coords[],
size_type  xlocal_coords_ub 
)
virtual

Computes the the jacobian matrix at local coordinates xlocal_coords with coordinate dofs xcoord_dofs.

Precondition
  • xcoord_dofs != 0
  • xcoord_dofs_ub >= db()*dl()
  • xlocal_coords != 0
  • xlocal_coords_ub >= db()
Not Implemented.
Todo:
Implement.
Postcondition

Reimplemented from fiber_bundle::differentiable_section_evaluator.

Definition at line 382 of file quadratic_3d.cc.

References db().

Referenced by dxi_local().

◆ jacobian_determinant()

fiber_bundle::section_evaluator::value_type fiber_bundle::quadratic_3d::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 
)
virtual

Computes the the determinant of the jacobian matrix at local coordinates xlocal_coords with coordinate dofs xcoord_dofs.

Precondition
  • xcoord_dofs != 0
  • xcoord_dofs_ub >= db()*dl()
  • xlocal_coords != 0
  • xlocal_coords_ub >= db()
Not Implemented.
Todo:
Implement.
Postcondition

Reimplemented from fiber_bundle::differentiable_section_evaluator.

Definition at line 184 of file quadratic_3d.cc.

References volume().

Referenced by basis_derivs_at_coord().

◆ local_coordinates()

void fiber_bundle::quadratic_3d::local_coordinates ( pod_index_type  xindex,
coord_type  xresult[],
size_type  xresult_ub 
) const
virtual

The local coordinates of the dof with local index xindex.

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

Implements fiber_bundle::section_evaluator.

Definition at line 442 of file quadratic_3d.cc.

References in_standard_domain().

Referenced by db().

◆ operator=() [1/2]

fiber_bundle::quadratic_3d & fiber_bundle::quadratic_3d::operator= ( const section_evaluator xother)
virtual

Assignment operator.

Precondition
  • is_ancestor_of(&xother)
Not Implemented.
Postcondition

Reimplemented from fiber_bundle::linear_fcn_space.

Definition at line 768 of file quadratic_3d.cc.

Referenced by clone().

◆ operator=() [2/2]

fiber_bundle::quadratic_3d & fiber_bundle::quadratic_3d::operator= ( const quadratic_3d xother)

Assignment operator.

Precondition
  • is_ancestor_of(&xother)
Not Implemented.
Postcondition

Definition at line 788 of file quadratic_3d.cc.

References invariant().

◆ volume()

fiber_bundle::section_evaluator::value_type fiber_bundle::quadratic_3d::volume ( const dof_type  xcoord_dofs[],
size_type  xcoord_dofs_ub,
size_type  xdf 
)
virtual

Volume for specified coordinate dofs xcoord_dofs and fiber space dimension xdf.

Precondition
  • xcoord_dofs != 0
  • xcoord_dofs_ub >= dl()*db()
  • xdf == 2 || xdf == 3
Todo:
Implement.

Not Implemented.

Postcondition

Implements fiber_bundle::integrable_section_evaluator.

Definition at line 218 of file quadratic_3d.cc.

References integrate().

Referenced by jacobian_determinant().


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