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SheafSystem
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SheafSystem
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A section evaluator using linear interpolation over a 1D domain which is refined into a uniform mesh. More...
#include <uniform_1d.h>
UNIFORM_1D FACET | |
| enum | static_const_int { DL = 2 } |
| The dimension of this function space; static const version. More... | |
| value_type | _basis_value_buffer [DL] |
| Storage for the result of the preceeding call to basis_at_coord. More... | |
| value_type | _basis_deriv_value_buffer [DL] |
| Storage for the result of the preceeding call to basis_derivs_at_coord. More... | |
| value_type | _jacobian_value_buffer [128] |
| Storage for the result of the preceeding call to jacobian. More... | |
| uniform_1d () | |
| Default constructor. More... | |
| uniform_1d (const uniform_1d &xother) | |
| Copy constructor. More... | |
| virtual | ~uniform_1d () |
| Destructor. More... | |
LINEAR_FCN_SPACE FACET | |
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| 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 | |
| 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... | |
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. More... | |
ANY FACET | |
| virtual uniform_1d * | clone () const |
| Virtual constructor, creates a new instance of the same type as this. More... | |
| virtual uniform_1d & | operator= (const section_evaluator &xother) |
| Assignment operator. More... | |
| uniform_1d & | operator= (const uniform_1d &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_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... | |
| 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_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 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 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 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... | |
A section evaluator using linear interpolation over a 1D domain which is refined into a uniform mesh.
Definition at line 39 of file uniform_1d.h.
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The dimension of this function space; static const version.
Definition at line 71 of file uniform_1d.h.
| fiber_bundle::uniform_1d::uniform_1d | ( | ) |
| fiber_bundle::uniform_1d::uniform_1d | ( | const uniform_1d & | xother | ) |
Copy constructor.
Definition at line 51 of file uniform_1d.cc.
References ~uniform_1d().
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Destructor.
Definition at line 70 of file uniform_1d.cc.
References dl().
Referenced by uniform_1d().
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Computes the value of each basis function at local coordinates xlocal_coord.
Implements fiber_bundle::linear_fcn_space.
Definition at line 113 of file uniform_1d.cc.
References basis_derivs_at_coord().
Referenced by dl().
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Computes the value of the derivatives of each basis function at local coordinates xlocal_coords.
Implements fiber_bundle::linear_fcn_space.
Definition at line 141 of file uniform_1d.cc.
References jacobian_determinant().
Referenced by basis_at_coord().
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Virtual constructor, creates a new instance of the same type as this.
Implements fiber_bundle::linear_fcn_space.
Definition at line 534 of file uniform_1d.cc.
References invariant(), and operator=().
Referenced by coord_at_value().
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The local coordinates of a point at which the field has the value xvalue.
Implements fiber_bundle::section_evaluator.
Definition at line 488 of file uniform_1d.cc.
References clone().
Referenced by in_standard_domain().
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The base dimension; the dimension of the local coordinates (independent variable).
Implements fiber_bundle::section_evaluator.
Definition at line 400 of file uniform_1d.cc.
References local_coordinates().
Referenced by jacobian().
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The dimension of this function space.
Implements fiber_bundle::linear_fcn_space.
Definition at line 90 of file uniform_1d.cc.
References basis_at_coord().
Referenced by ~uniform_1d().
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First partial derivative of this with respect to local coordinate xlocal_coord_index.
Implements fiber_bundle::differentiable_section_evaluator.
Definition at line 335 of file uniform_1d.cc.
References jacobian().
Referenced by gauss_point().
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The local coordinates of the gauss point with index xindex.
Implements fiber_bundle::integrable_section_evaluator.
Definition at line 303 of file uniform_1d.cc.
References dxi_local().
Referenced by volume().
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Return true if the specified local coordinates are in the "standard" domain; otherwise return false.
Implements fiber_bundle::section_evaluator.
Definition at line 454 of file uniform_1d.cc.
References coord_at_value().
Referenced by local_coordinates().
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Computes the value of the integral of the integrand array...
Referenced by volume().
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Computes the value of the integral of the integrand...
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Class invariant.
Reimplemented from fiber_bundle::linear_fcn_space.
Definition at line 601 of file uniform_1d.cc.
References is_ancestor_of().
Referenced by clone(), and operator=().
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Conformance test; true if other conforms to this.
Reimplemented from fiber_bundle::linear_fcn_space.
Definition at line 632 of file uniform_1d.cc.
Referenced by invariant().
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Computes the the jacobian matrix at local coordinates xlocal_coords with coordinate dofs xcoord_dofs.
Reimplemented from fiber_bundle::differentiable_section_evaluator.
Definition at line 364 of file uniform_1d.cc.
References db().
Referenced by dxi_local().
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Computes the the determinant of the jacobian matrix at local coordinates xlocal_coords with coordinate dofs xcoord_dofs.
Reimplemented from fiber_bundle::differentiable_section_evaluator.
Definition at line 170 of file uniform_1d.cc.
References volume().
Referenced by basis_derivs_at_coord().
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The local coordinates of the dof with local index xindex.
Implements fiber_bundle::section_evaluator.
Definition at line 424 of file uniform_1d.cc.
References in_standard_domain().
Referenced by db().
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Assignment operator.
Reimplemented from fiber_bundle::linear_fcn_space.
Definition at line 558 of file uniform_1d.cc.
Referenced by clone().
| fiber_bundle::uniform_1d & fiber_bundle::uniform_1d::operator= | ( | const uniform_1d & | xother | ) |
Assignment operator.
Definition at line 578 of file uniform_1d.cc.
References invariant().
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Volume for specified coordinate dofs xcoord_dofs and fiber space dimension xdf.
Not Implemented.
Implements fiber_bundle::integrable_section_evaluator.
Definition at line 204 of file uniform_1d.cc.
References gauss_point(), and integrate().
Referenced by jacobian_determinant().
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Storage for the result of the preceeding call to basis_derivs_at_coord.
Definition at line 81 of file uniform_1d.h.
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Storage for the result of the preceeding call to basis_at_coord.
Definition at line 76 of file uniform_1d.h.
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Storage for the result of the preceeding call to jacobian.
Definition at line 86 of file uniform_1d.h.
1.8.13