Regina Calculation Engine

Represents a plugged triangular solid torus component of a triangulation. More...
#include <subcomplex/nplugtrisolidtorus.h>
Public Member Functions  
virtual  ~NPlugTriSolidTorus () 
Destroys this plugged solid torus; note that the corresponding triangular solid torus and layered chains will also be destroyed. More...  
NPlugTriSolidTorus *  clone () const 
Returns a newly created clone of this structure. More...  
const NTriSolidTorus &  getCore () const 
Returns the triangular solid torus at the core of this triangulation. More...  
const NLayeredChain *  getChain (int annulus) const 
Returns the layered chain attached to the requested annulus on the boundary of the core triangular solid torus. More...  
int  getChainType (int annulus) const 
Returns the way in which a layered chain is attached to the requested annulus on the boundary of the core triangular solid torus. More...  
int  getEquatorType () const 
Returns which types of edges form the equator of the plug. More...  
NManifold *  getManifold () const 
Returns the 3manifold represented by this triangulation, if such a recognition routine has been implemented. More...  
std::ostream &  writeName (std::ostream &out) const 
Writes the name of this triangulation as a humanreadable string to the given output stream. More...  
std::ostream &  writeTeXName (std::ostream &out) const 
Writes the name of this triangulation in TeX format to the given output stream. More...  
void  writeTextLong (std::ostream &out) const 
Writes this object in long text format to the given output stream. More...  
std::string  getName () const 
Returns the name of this specific triangulation as a humanreadable string. More...  
std::string  getTeXName () const 
Returns the name of this specific triangulation in TeX format. More...  
virtual NAbelianGroup *  getHomologyH1 () const 
Returns the expected first homology group of this triangulation, if such a routine has been implemented. More...  
virtual void  writeTextShort (std::ostream &out) const 
Writes this object in short text format to the given output stream. More...  
Input and Output  
std::string  str () const 
Returns the output from writeTextShort() as a string. More...  
std::string  toString () const 
A deprecated alias for str(), which returns the output from writeTextShort() as a string. More...  
std::string  detail () const 
Returns the output from writeTextLong() as a string. More...  
std::string  toStringLong () const 
A deprecated alias for detail(), which returns the output from writeTextLong() as a string. More...  
Static Public Member Functions  
static NPlugTriSolidTorus *  isPlugTriSolidTorus (NComponent *comp) 
Determines if the given triangulation component is a plugged triangular solid torus. More...  
static NStandardTriangulation *  isStandardTriangulation (NComponent *component) 
Determines whether the given component represents one of the standard triangulations understood by Regina. More...  
static NStandardTriangulation *  isStandardTriangulation (NTriangulation *tri) 
Determines whether the given triangulation represents one of the standard triangulations understood by Regina. More...  
Static Public Attributes  
static const int  CHAIN_NONE 
Indicates an annulus on the triangular solid torus boundary with no attached layered chain. More...  
static const int  CHAIN_MAJOR 
Indicates an annulus on the triangular solid torus boundary with an attached layered chain layered over the major edge of the annulus. More...  
static const int  CHAIN_MINOR 
Indicates an annulus on the triangular solid torus boundary with an attached layered chain layered over the minor edge of the annulus. More...  
static const int  EQUATOR_MAJOR 
Indicates that, if no layered chains were present, the equator of the plug would consist of major edges of the core triangular solid torus. More...  
static const int  EQUATOR_MINOR 
Indicates that, if no layered chains were present, the equator of the plug would consist of minor edges of the core triangular solid torus. More...  
Represents a plugged triangular solid torus component of a triangulation.
Such a component is obtained as follows.
Begin with a threetetrahedron triangular solid torus (as described by class NTriSolidTorus). Observe that the three axis edges divide the boundary into three annuli.
To each of these annuli a layered chain may be optionally attached. If present, the chain should be attached so its hinge edges are identified with the axis edges of the corresonding annulus and its bottom tetrahedron is layered over either the major edge or minor edge of the corresponding annulus. The top two triangular faces of the layered chain should remain free.
Thus we now have three annuli on the boundary, each represented as a square two of whose (opposite) edges are axis edges of the original triangular solid torus (and possibly also hinge edges of a layered chain).
Create a plug by gluing two tetrahedra together along a single triangle. The six edges that do not run along this common triangle split the plug boundary into three squares. These three squares must be glued to the three boundary annuli previously described. Each axis edge meets two of the annuli; the two corresponding edges of the plug must be nonadjacent (have no common vertex) on the plug. In this way each of the six edges of the plug not running along its interior triangle corresponds to precisely one of the two instances of precisely one of the three axis edges.
If the axis edges are directed so that they all point the same way around the triangular solid torus, these axis edges when drawn on the plug must all point from one common tip of the plug to the other (where the tips of the plug are the vertices not meeting the interior triangle). The gluings must also be made so that the resulting triangulation component is orientable.
Of the optional NStandardTriangulation routines, getManifold() is implemented for most plugged triangular solid tori and getHomologyH1() is not implemented at all.

virtual 
Destroys this plugged solid torus; note that the corresponding triangular solid torus and layered chains will also be destroyed.
NPlugTriSolidTorus* regina::NPlugTriSolidTorus::clone  (  )  const 
Returns a newly created clone of this structure.

inherited 
Returns the output from writeTextLong() as a string.

inline 
Returns the layered chain attached to the requested annulus on the boundary of the core triangular solid torus.
If there is no attached layered chain, null
will be returned.
Note that the core triangular solid torus will be attached to the bottom (as opposed to the top) of the layered chain.
annulus  specifies which annulus to examine; this must be 0, 1 or 2. 

inline 
Returns the way in which a layered chain is attached to the requested annulus on the boundary of the core triangular solid torus.
This will be one of the chain type constants defined in this class.
annulus  specifies which annulus to examine; this must be 0, 1 or 2. 

inline 
Returns the triangular solid torus at the core of this triangulation.

inline 
Returns which types of edges form the equator of the plug.
In the absence of layered chains these will either all be major edges or all be minor edges.
Layered chains complicate matters, but the roles that the major and minor edges play on the boundary annuli of the triangular solid torus can be carried up to the annuli at the top of each layered chain; the edges filling the corresponding major or minor roles will then form the equator of the plug.

inlinevirtualinherited 
Returns the expected first homology group of this triangulation, if such a routine has been implemented.
If the calculation of homology has not yet been implemented for this triangulation then this routine will return 0.
This routine does not work by calling NTriangulation::getHomologyH1() on the associated real triangulation. Instead the homology is calculated directly from the known properties of this standard triangulation.
The details of which standard triangulations have homology calculation routines can be found in the notes for the corresponding subclasses of NStandardTriangulation. The default implementation of this routine returns 0.
The homology group will be newly allocated and must be destroyed by the caller of this routine.
If this NStandardTriangulation describes an entire NTriangulation (and not just a part thereof) then the results of this routine should be identical to the homology group obtained by calling NTriangulation::getHomologyH1() upon the associated real triangulation.
Reimplemented in regina::NLayeredSolidTorus, regina::NTriSolidTorus, regina::NLayeredChain, regina::NSpiralSolidTorus, regina::NLayeredTorusBundle, regina::NSnapPeaCensusTri, regina::NLayeredLensSpace, regina::NLayeredLoop, regina::NSnappedBall, regina::NTrivialTri, regina::NL31Pillow, and regina::NLayeredChainPair.

virtual 
Returns the 3manifold represented by this triangulation, if such a recognition routine has been implemented.
If the 3manifold cannot be recognised then this routine will return 0.
The details of which standard triangulations have 3manifold recognition routines can be found in the notes for the corresponding subclasses of NStandardTriangulation. The default implementation of this routine returns 0.
It is expected that the number of triangulations whose underlying 3manifolds can be recognised will grow between releases.
The 3manifold will be newly allocated and must be destroyed by the caller of this routine.
Reimplemented from regina::NStandardTriangulation.

inherited 
Returns the name of this specific triangulation as a humanreadable string.

inherited 
Returns the name of this specific triangulation in TeX format.
No leading or trailing dollar signs will be included.

static 
Determines if the given triangulation component is a plugged triangular solid torus.
comp  the triangulation component to examine. 
null
if the given component is not a plugged triangular solid torus.

staticinherited 
Determines whether the given component represents one of the standard triangulations understood by Regina.
The list of recognised triangulations is expected to grow between releases.
If the standard triangulation returned has boundary triangles then the given component must have the same corresponding boundary triangles, i.e., the component cannot have any further identifications of these boundary triangles with each other.
Note that the triangulationbased routine isStandardTriangulation(NTriangulation*) may recognise more triangulations than this routine, since passing an entire triangulation allows access to more information.
component  the triangulation component under examination. 

staticinherited 
Determines whether the given triangulation represents one of the standard triangulations understood by Regina.
The list of recognised triangulations is expected to grow between releases.
If the standard triangulation returned has boundary triangles then the given triangulation must have the same corresponding boundary triangles, i.e., the triangulation cannot have any further identifications of these boundary triangles with each other.
This routine may recognise more triangulations than the componentbased isStandardTriangulation(NComponent*), since passing an entire triangulation allows access to more information.
tri  the triangulation under examination. 

inherited 
Returns the output from writeTextShort() as a string.
__str__()
function.

inlineinherited 
A deprecated alias for str(), which returns the output from writeTextShort() as a string.

inlineinherited 
A deprecated alias for detail(), which returns the output from writeTextLong() as a string.

virtual 
Writes the name of this triangulation as a humanreadable string to the given output stream.
out  the output stream to which to write. 
Implements regina::NStandardTriangulation.

virtual 
Writes the name of this triangulation in TeX format to the given output stream.
No leading or trailing dollar signs will be included.
out  the output stream to which to write. 
Implements regina::NStandardTriangulation.

virtual 
Writes this object in long text format to the given output stream.
The output should provide the user with all the information they could want. The output should be humanreadable, should not contain extremely long lines (so users can read the output in a terminal), and should end with a final newline.
The default implementation of this routine merely calls writeTextShort() and adds a newline.
out  the output stream to which to write. 
Reimplemented from regina::ShareableObject.

inlinevirtualinherited 
Writes this object in short text format to the given output stream.
The output should be humanreadable, should fit on a single line, and should not end with a newline.
out  the output stream to which to write. 
Implements regina::ShareableObject.

static 
Indicates an annulus on the triangular solid torus boundary with an attached layered chain layered over the major edge of the annulus.

static 
Indicates an annulus on the triangular solid torus boundary with an attached layered chain layered over the minor edge of the annulus.

static 
Indicates an annulus on the triangular solid torus boundary with no attached layered chain.

static 
Indicates that, if no layered chains were present, the equator of the plug would consist of major edges of the core triangular solid torus.

static 
Indicates that, if no layered chains were present, the equator of the plug would consist of minor edges of the core triangular solid torus.