fiber_bundle::t3_lite Class Reference

A tensor of degree 3 over an abstract vector space (volatile version). More...

#include <t3.h>

Inheritance diagram for fiber_bundle::t3_lite:

T3 FACET OF CLASS T3_LITE
	t3_lite ()
	Default constructor. More...
	t3_lite (const t3_lite &xother)
	Copy constructor. More...
t3_lite &	operator= (const t3_lite &xother)
	Assignment operator. More...
virtual	~t3_lite ()
	Destructor. More...
	t3_lite (const row_dofs_type &xrow_dofs)
	Creates a new instance with row dofs xrow_dofs. More...
t3_lite &	operator= (const row_dofs_type &xrow_dofs)
	Assignment (from row_dofs_type) operator. More...

TENSOR ALGEBRA (TP) FACET OF CLASS T3_LITE
enum	static_const_int { P = 3 }
	The tensor degree (static version) More...
virtual int	p () const
	The degree of the tensor; the sum of the contravariant and covariant degrees. More...

VECTOR ALGEBRA (VD) FACET OF CLASS T3_LITE
virtual int	d () const
	Dimension of this as a vector space. More...
virtual value_type	component (int xi, int xj, int xk) const
	The component with indices xi, xj, xk. More...
virtual void	put_component (int xi, int xj, int xk, value_type xvalue)
	Sets the component with indices xi, xj, xk to xvalue. More...
virtual int	index_for_ijk (int xi, int xj, int xk) const
	The index into linear storage of the component for specified indices xi, xj, xk. More...

ABSTRACT POSET MEMBER FACET OF CLASS T3_LITE
virtual const std::string &	class_name () const
	The name of this class. More...
virtual t3_lite *	clone () const
	Virtual constructor, makes a new instance of the same type as this. More...
static const std::string &	static_class_name ()
	The name of this class. More...

ANY FACET OF CLASS T3_LITE
virtual bool	is_ancestor_of (const any_lite &xother) const
	Conformance test; true if other conforms to this. More...
bool	invariant () const
	Class invariant. More...

Additional Inherited Members
Public Types inherited from fiber_bundle::tp_lite
enum	static_const_int { P = -1 }
	The degree of this tensor space. More...
typedef tp_table_dofs_type	table_dofs_type
	The type of the table dofs. More...
typedef vd_lite	vector_space_type
	Type of underlying vector space. More...
Public Types inherited from fiber_bundle::vd_lite
typedef vd_dof_type	dof_type
	The type of the degrees of freedom. More...
typedef vd_value_type	value_type
	The type of component in the fiber; the scalar type in the fiber vector space. More...
typedef vd_table_dofs_type	table_dofs_type
	The type of the table dofs. More...
typedef vd_row_dofs_type< double >	row_dofs_type
	The type of the row dofs. More...
Public Types inherited from fiber_bundle::tuple_lite
typedef tuple_table_dofs_type	table_dofs_type
	The type of the table dofs. More...
Public Types inherited from fiber_bundle::any_lite
typedef any_lite	volatile_type
	The associated volatile type. More...
Public Member Functions inherited from fiber_bundle::tp_lite
	tp_lite ()
	Default constructor. More...
	tp_lite (const tp_lite &xother)
	Copy constructor. More...
tp_lite &	operator= (const tp_lite &xother)
	Assignment operator. More...
virtual	~tp_lite ()
	Destructor. More...
	tp_lite (const row_dofs_type &xrow_dofs)
	Creates a new instance with row dofs xrow_dofs. More...
tp_lite &	operator= (const row_dofs_type &xrow_dofs)
	Assignment (from row_dofs_type) operator. More...
virtual int	dd () const
	Dimension of the underlying vector space. More...
virtual pod_index_type	vector_space_index () const
	Index of the underlying vector space. More...
table_dofs_type	table_dofs () const
	The table dofs. More...
bool	invariant () const
	Class invariant. More...
Public Member Functions inherited from fiber_bundle::vd_lite
	vd_lite ()
	Default constructor. More...
	vd_lite (const vd_lite &xother)
	Copy constructor. More...
vd_lite &	operator= (const vd_lite &xother)
	Copy assignment operator. More...
bool	operator== (const vd_lite &xother) const
	True if this has the same components as xother. More...
virtual	~vd_lite ()
	Destructor. More...
	vd_lite (const row_dofs_type &xrow_dofs)
	Creates a new instance with row dofs xrow_dofs. More...
vd_lite &	operator= (const row_dofs_type &xrow_dofs)
	Row_dofs_type assignment operator. More...
value_type	component (int xindex) const
	The xindex-th component. More...
void	put_component (int xindex, value_type xcomp)
	Set the xindex-th component to xcomp. More...
virtual void	components (dof_type xresult[], int comps_dimension) const
	The values of all the components (preallocated version). More...
virtual void	put_components (const dof_type xcomps[], int xcomps_dimension)
	Set values of all the components to the values in xcomps. More...
vd_lite &	operator= (const value_type &xvalue)
	Value_type assignment operator; sets all components to xvalue. More...
bool	operator== (const value_type &xvalue) const
	Equality comparison to scalar; true if and only if all components == xvalue. Especially useful for comparison to 0.0. More...
virtual value_type &	operator[] (int xindex)
	The value of the component corresponding to xindex (non const version). More...
virtual const value_type &	operator[] (int xindex) const
	The value of the component corresponding to xindex (const version). More...
virtual const tp_lite &	tp_prototype (int xp) const
	Virtual constructor for general tensors of degree xp over this vector space. More...
virtual const atp_lite &	atp_prototype (int xp) const
	Prototype for antisymmetric tensors of degree xp over this vector space. More...
virtual const stp_lite &	stp_prototype (int xp) const
	Prototype for symmetric tensors of degree xp over this vector space. More...
virtual int	factor_ct () const
	Number of factors (components) in tuple. More...
table_dofs_type	table_dofs () const
	The table dofs. More...
bool	invariant () const
	Class invariant. More...
Public Member Functions inherited from fiber_bundle::tuple_lite
	tuple_lite ()
	Default constructor. More...
	tuple_lite (const tuple_lite &xother)
	Copy constructor. More...
tuple_lite &	operator= (const tuple_lite &xother)
	Assignment operator. More...
virtual	~tuple_lite ()
	Destructor. More...
table_dofs_type	table_dofs () const
	The table dofs. More...
bool	invariant () const
	Class invariant. More...
Public Member Functions inherited from fiber_bundle::any_lite
virtual	~any_lite ()
	Destructor. More...
bool	is_same_type (const any_lite &xother) const
	True if other is the same type as this. More...
bool	invariant () const
	Class invariant, intended to be redefined in each descendant. 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...
virtual void *	row_dofs ()
	The row dofs for this instance (mutable version). More...
virtual const void *	row_dofs () const
	The row dofs for this instance (const version). More...
Static Public Member Functions inherited from fiber_bundle::tp_lite
static const std::string &	static_class_name ()
	The name of this class. More...
Static Public Member Functions inherited from fiber_bundle::vd_lite
static const tp_lite &	static_tp_prototype (int xp)
	Static prototype for general tensors of degree xp over this vector space. More...
static const atp_lite &	static_atp_prototype (int xp)
	Static prototype for antisymmetric tensors of degree xp over this vector space. More...
static const stp_lite &	static_stp_prototype (int xp)
	Static prototype for symmetric tensors of degree xp over this vector space. More...
static const std::string &	static_class_name ()
	The name of this class. More...
Static Public Member Functions inherited from fiber_bundle::tuple_lite
static const std::string &	static_class_name ()
	The name of this class. More...
Static Public Member Functions inherited from fiber_bundle::any_lite
static const std::string &	static_class_name ()
	The name of this class. More...
Protected Member Functions inherited from fiber_bundle::any_lite
	any_lite ()
	Default constructor. More...

Detailed Description

A tensor of degree 3 over an abstract vector space (volatile version).

Definition at line 43 of file t3.h.

Member Enumeration Documentation

static_const_int

enum fiber_bundle::t3_lite::static_const_int

The tensor degree (static version)

Hack:

Inline initialization of static const integral data members causes link error in MSC++; use enum instead.

Definition at line 101 of file t3.h.

Constructor & Destructor Documentation

t3_lite() [1/3]

fiber_bundle::t3_lite::t3_lite

(

)

Default constructor.

Postcondition

• invariant()

Definition at line 62 of file t3.cc.

Referenced by ~t3_lite().

t3_lite() [2/3]

fiber_bundle::t3_lite::t3_lite

(

const t3_lite &

xother

)

Copy constructor.

Postcondition

• invariant()

Definition at line 77 of file t3.cc.

References operator=().

~t3_lite()

fiber_bundle::t3_lite::~t3_lite ( )

virtual

Destructor.

Definition at line 111 of file t3.cc.

References t3_lite().

Referenced by operator=().

t3_lite() [3/3]

fiber_bundle::t3_lite::t3_lite

(

const row_dofs_type &

xrow_dofs

)

Creates a new instance with row dofs xrow_dofs.

Postcondition

• invariant()

Definition at line 124 of file t3.cc.

References operator=().

Member Function Documentation

class_name()

const std::string & fiber_bundle::t3_lite::class_name ( ) const

virtual

The name of this class.

Postcondition

• !result.empty()

Reimplemented from fiber_bundle::tp_lite.

Reimplemented in fiber_bundle::t3_e3_lite.

Definition at line 317 of file t3.cc.

References static_class_name().

Referenced by index_for_ijk().

clone()

fiber_bundle::t3_lite * fiber_bundle::t3_lite::clone ( ) const

virtual

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

Postcondition

• result != 0

• is_same_type(*result)

Reimplemented from fiber_bundle::tp_lite.

Reimplemented in fiber_bundle::t3_e3_lite.

Definition at line 355 of file t3.cc.

Referenced by static_class_name().

component()

fiber_bundle::t3_lite::value_type fiber_bundle::t3_lite::component ( int  xi, int  xj, int  xk  ) const

virtual

The component with indices xi, xj, xk.

Precondition

• (0 <= xi) && (xi < dd())

• (0 <= xj) && (xj < dd())

• (0 <= xk) && (xk < dd())

Postcondition

• invariant()

Definition at line 223 of file t3.cc.

References put_component().

Referenced by fiber_bundle::tp_algebra::alt(), fiber_bundle::tp_algebra::contract(), d(), and fiber_bundle::tp_algebra::sym().

d()

int fiber_bundle::t3_lite::d ( ) const

virtual

Dimension of this as a vector space.

Postcondition

• invariant()

• result == static_cast<int>(dd()*dd()*dd())

Reimplemented from fiber_bundle::tp_lite.

Definition at line 203 of file t3.cc.

References component().

Referenced by p().

index_for_ijk()

int fiber_bundle::t3_lite::index_for_ijk ( int  xi, int  xj, int  xk  ) const

virtual

The index into linear storage of the component for specified indices xi, xj, xk.

Precondition

• (0 <= xi) && (xi < dd())

• (0 <= xj) && (xj < dd())

• (0 <= xk) && (xk < dd())

Postcondition

• result >= 0

• result < d()

Definition at line 270 of file t3.cc.

References class_name().

Referenced by fiber_bundle::tp_algebra::contract(), and put_component().

invariant()

bool fiber_bundle::t3_lite::invariant

(

)

const

Class invariant.

Invariant

• tp_lite::invariant()

Definition at line 407 of file t3.cc.

References fiber_bundle::t3::standard_schema_path().

Referenced by is_ancestor_of().

is_ancestor_of()

bool fiber_bundle::t3_lite::is_ancestor_of ( const any_lite &  xother ) const

virtual

Conformance test; true if other conforms to this.

Precondition

• &xother != 0

Reimplemented from fiber_bundle::tp_lite.

Reimplemented in fiber_bundle::t3_e3_lite.

Definition at line 388 of file t3.cc.

References invariant().

operator=() [1/2]

fiber_bundle::t3_lite & fiber_bundle::t3_lite::operator=

(

const t3_lite &

xother

)

Assignment operator.

Postcondition

• invariant()

Definition at line 94 of file t3.cc.

References ~t3_lite().

Referenced by t3_lite().

operator=() [2/2]

fiber_bundle::t3_lite & fiber_bundle::t3_lite::operator=

(

const row_dofs_type &

xrow_dofs

)

Assignment (from row_dofs_type) operator.

Definition at line 141 of file t3.cc.

References p().

p()

int fiber_bundle::t3_lite::p ( ) const

virtual

The degree of the tensor; the sum of the contravariant and covariant degrees.

Postcondition

• invariant()

• result == 3

Reimplemented from fiber_bundle::tp_lite.

Definition at line 172 of file t3.cc.

References d().

Referenced by fiber_bundle::tp_algebra::contract(), and operator=().

put_component()

void fiber_bundle::t3_lite::put_component ( int  xi, int  xj, int  xk, value_type  xvalue  )

virtual

Sets the component with indices xi, xj, xk to xvalue.

Precondition

• (0 <= xi) && (xi < dd())

• (0 <= xj) && (xj < dd())

• (0 <= xk) && (xk < dd())

Postcondition

• isunordered_or_equals(component(xi, xj, xk), xvalue)

Definition at line 246 of file t3.cc.

References index_for_ijk(), and sheaf::isunordered_or_equals().

Referenced by fiber_bundle::tp_algebra::alt(), component(), fiber_bundle::tp_algebra::sym(), and fiber_bundle::tp_algebra::tensor().

static_class_name()

const std::string & fiber_bundle::t3_lite::static_class_name ( )

static

The name of this class.

Postcondition

• !result.empty()

Definition at line 336 of file t3.cc.

References clone().

Referenced by class_name().

---

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

• t3.h
• t3.cc