21 #include "SheafSystem/sec_st2.h" 23 #include "SheafSystem/assert_contract.h" 24 #include "SheafSystem/binary_section_space_schema_member.impl.h" 25 #include "SheafSystem/binary_section_space_schema_poset.h" 26 #include "SheafSystem/fiber_bundles_namespace.h" 27 #include "SheafSystem/sec_at0.h" 28 #include "SheafSystem/sec_at0_space.h" 29 #include "SheafSystem/sec_stp_space.h" 30 #include "SheafSystem/sec_tuple_space.impl.h" 31 #include "SheafSystem/section_space_schema_member.impl.h" 32 #include "SheafSystem/section_space_schema_poset.h" 33 #include "SheafSystem/stp.h" 34 #include "SheafSystem/stp_space.h" 63 require(!xhost_path.
empty());
66 require(xschema_path.
full());
68 require(host_type::fiber_space_conforms<fiber_type::host_type>(xns, xschema_path, xauto_access));
72 require(host_type::same_scalar_fiber_space(xns, xschema_path, xscalar_space_path, xauto_access));
76 host_type& result = host_type::new_table(xns, xhost_path, xschema_path, xscalar_space_path, xauto_access);
80 ensure(xns.
owns(result, xauto_access));
81 ensure(result.
path(
true) == xhost_path);
83 ensure(result.
schema(
true).
path(xauto_access) == xschema_path);
87 ensure(result.
d(
true) == result.
dd(
true));
90 ensure(result.
p(
true) == 2);
134 attach_to_state(xhost, xhub_id);
140 ensure(index() == xhub_id);
141 ensure(is_attached());
142 ensure(!is_restricted());
156 attach_to_state(xhost, xid.
hub_pod());
162 ensure(index() ==~ xid);
163 ensure(is_attached());
164 ensure(!is_restricted());
175 require(!xname.empty());
180 attach_to_state(xhost, xname);
186 ensure(name() == xname);
187 ensure(is_attached());
188 ensure(!is_restricted());
201 require(precondition_of(attach_to_state(same args)));
205 attach_to_state(xnamespace, xpath, xauto_access);
209 ensure(postcondition_of(attach_to_state(same args)));
223 require(xother != 0);
227 attach_to_state(xother);
232 ensure(is_attached());
233 ensure(is_same_state(xother));
234 ensure(is_same_restriction(xother));
244 require(precondition_of(new_jim_state(xhost, xdof_map,
false, xauto_access)));
248 new_jim_state(xhost, xdof_map,
false, xauto_access);
252 ensure(postcondition_of(new_jim_state(xhost, xdof_map,
false, xauto_access)));
262 int xbase_version,
bool xauto_access)
267 require(precondition_of(new_jim_state(xhost, xbase_mbr, xbase_version, xauto_access)));
271 new_jim_state(xhost, xbase_mbr, xbase_version, xauto_access);
275 ensure(postcondition_of(new_jim_state(xhost, xbase_mbr, xbase_version, xauto_access)));
288 require(is_ancestor_of(&xother));
289 require(precondition_of(attach_to_state(&xother)));
293 attach_to_state(&xother);
297 ensure(postcondition_of(attach_to_state(&xother)));
310 require(precondition_of(attach_to_state(&xother)));
314 attach_to_state(&xother);
318 ensure(postcondition_of(attach_to_state(&xother)));
331 require(precondition_of(sec_vd::operator=(xfiber)));
335 sec_vd::operator=(xfiber);
339 ensure(postcondition_of(sec_vd::operator=(xfiber)));
352 require(precondition_of(sec_vd::operator=(xfiber)));
356 sec_vd::operator=(xfiber);
360 ensure(postcondition_of(sec_vd::operator=(xfiber)));
459 const string& result = static_class_name();
463 ensure(!result.empty());
478 static const string result(
"sec_st2");
482 ensure(!result.empty());
531 require(xother != 0);
538 bool result =
dynamic_cast<const st2*
>(xother) != 0;
557 require(xother != 0);
564 bool result =
dynamic_cast<const sec_st2*
>(xother) != 0;
588 invariance(sec_stp::invariant());
590 if (invariant_check())
594 disable_invariant_check();
596 invariance(is_attached() ? p() == 2 :
true);
600 enable_invariant_check();
605 ensure(is_derived_query);
629 xlresult =
trace(xl0);
638 #include "SheafSystem/sec_at0.h" 639 #include "SheafSystem/sec_st2_e2.h" 640 #include "SheafSystem/sec_st2_e3.h" 641 #include "SheafSystem/sec_vd.impl.h" 656 unary_op(x0, xresult, trace_functor(), xauto_access);
691 post_fatal_error_message(\
692 "Unsupported argument types in call to determinant(...)");
virtual bool invariant() const
Class invariant, intended to be redefined in each descendant. See below for template for invariant in...
static int factor_ct(int xd)
Factor_ct() as a function of dimension xd.
virtual poset_path path(bool xauto_access=true) const
The path of this poset.
bool state_is_auto_read_write_accessible(bool xauto_access) const
True if state is auto accessible for read and write, that is, if the state is already accessible for ...
An abstract symmetric tensor section space of degree p.
SHEAF_DLL_SPEC void trace(const sec_st2 &x0, sec_at0 &xresult, bool xauto_access)
The trace of x0.
SHEAF_DLL_SPEC void determinant(const sec_st2 &x0, sec_at0 &xresult, bool xauto_access)
The determinant of x0.
bool full() const
True if both poset name and member name are not empty.
virtual sec_st2 * clone() const
Make a new handle, no state instance of current.
A Cartesian product section space.
The abstract map from section dof ids to section dof values of heterogeneous type.
poset_path path(bool xauto_access=true) const
A path to this component.
The default name space; a poset which contains other posets as members.
virtual sec_st2 & operator=(const abstract_poset_member &xother)
Assignment operator; synonym for attach_to_state(&xother).
bool state_is_read_accessible() const
True if this is attached and if the state is accessible for read or access control is disabled...
void unary_op(const S0 &x0, SR &xresult, F xfunctor, bool xauto_access)
Unary operator.
bool path_is_auto_read_accessible(const poset_path &xpath, bool xauto_access) const
True if the state referred to xpath exists and is auto read accessible.
The standard fiber bundles name space; extends the standard sheaves namespace by defining base space...
bool state_is_auto_read_accessible(bool xauto_access) const
True if the state is auto accessible for read, that is, if the state is already accessible for read o...
bool invariant() const
Class invariant.
A path defined by a poset name and a member name separated by a forward slash ('/'). For example: "cell_definitions/triangle".
A member of a sec_rep_space; a section.
A section of a bundle with fiber type st2_e2.
poset_path vector_space_path() const
The path of the underlying vector space.
A schema poset for a section space. A binary Cartesian product subspace of the binary tensor product ...
virtual const fiber_type & fiber_prototype() const
Virtual constructor for the associated fiber type.
static const std::string & static_class_name()
The name of this class.
virtual const std::string & class_name() const
The name of this class.
SHEAF_DLL_SPEC void determinant(const st2 &x0, vd_value_type &xresult, bool xauto_access)
The determinant of a symmetric tensor (pre-allocated version for persistent types).
SHEAF_DLL_SPEC void trace(const st2 &x0, vd_value_type &xresult, bool xauto_access)
The trace of a symmetric tensor (pre-allocated version for persistent types).
sec_st2()
Default constructor.
Abstract base class with useful features for all objects.
int p() const
The tensor degree of this space.
A general symmetric tensor of degree 2 over an abstract vector space (volatile version).
virtual section_space_schema_member & schema()
The schema for this poset (mutable version)
virtual int d(int xp, int xdd) const
Dimension d() as a function of degree xp and domain dimension xdd.
bool owns(const poset_state_handle &xposet, bool xauto_access) const
True if and only if this contains the poset xposet. synonym for contains_poset(xposet.poset_path(true), xauto_access)
An index within the external ("client") scope of a given id space.
A section of a bundle with fiber type st2.
bool contains_path(const poset_path &xpath, bool xauto_access=true) const
True if this contains the poset or poset member specified by xpath.
Antisymetric tensor of degree 0 (volatile version).
virtual bool contains_member(pod_index_type xmbr_hub_id, bool xauto_access=true) const
True if some version of this poset contains poset member with hub id xmbr_hub_id. ...
int dd() const
The dimension of the underlying ("domain") vector space.
bool empty() const
True if both poset name and member name are empty.
bool is_ancestor_of(const any *xother) const
True if xother conforms to current.
bool fiber_is_ancestor_of(const any *xother) const
True if xother conforms to an instance of the fiber of current.
int_type pod_index_type
The plain old data index type.
poset_path scalar_space_path() const
The path of the underlying space of scalars.
poset & fiber_space()
The fiber space for section spaces on this schema (mutable version).
Namespace containing the algrebra functions for a a section of a fiber bundle with a d-dimensional ve...
An abstract client handle for a member of a poset.
static host_type & new_host(namespace_type &xns, const poset_path &xhost_path, const poset_path &xschema_path, const poset_path &xscalar_space_path, bool xauto_access)
Creates a new host table for members of this type. The poset is created in namespace xns with path xh...
An abstract symmetric tensor space of degree p.
Namespace for the fiber_bundles component of the sheaf system.
A general symmetric tensor of degree 2 over an abstract vector space (persistent version).
Antisymetric tensor of degree 0. As the degree is 0 there is nothing to be symmetric or antisymmetric...
bool state_is_not_read_accessible() const
True if this is attached and if the state is accessible for read or if access control is disabled...
Namespace containing the 2d symmetric tensor algrebra functions for the fiber_bundles component of th...
pod_type hub_pod() const
The pod value of this mapped to the unglued hub id space.
A section of a bundle with fiber type st2_e3.
A handle for a poset whose members are numerical representations of sections of a fiber bundle...