#include <nsnappedball.h>
Public Member Functions | |
NSnappedBall * | clone () const |
Returns a newly created clone of this structure. | |
NTetrahedron * | getTetrahedron () const |
Returns the tetrahedron that forms this snapped ball. | |
int | getBoundaryFace (int index) const |
Returns one of the two faces that forms the boundary of this snapped ball. | |
int | getInternalFace (int index) const |
Returns one of the two faces internal to this snapped ball. | |
int | getEquatorEdge () const |
Returns the edge that forms the equator of the boundary sphere of this ball. | |
int | getInternalEdge () const |
Returns the edge internal to this snapped ball. | |
NManifold * | getManifold () const |
Returns the 3-manifold represented by this triangulation, if such a recognition routine has been implemented. | |
NAbelianGroup * | getHomologyH1 () const |
Returns the expected first homology group of this triangulation, if such a routine has been implemented. | |
std::ostream & | writeName (std::ostream &out) const |
Writes the name of this triangulation as a human-readable string to the given output stream. | |
std::ostream & | writeTeXName (std::ostream &out) const |
Writes the name of this triangulation in TeX format to the given output stream. | |
void | writeTextLong (std::ostream &out) const |
Writes this object in long text format to the given output stream. | |
Static Public Member Functions | |
static NSnappedBall * | formsSnappedBall (NTetrahedron *tet) |
Determines if the given tetrahedron forms a snapped 3-ball within a triangulation. |
A snapped 3-ball is a single tetrahedron with two faces glued to each other to form a 3-ball with a two triangle boundary.
All optional NStandardTriangulation routines are implemented for this class.
NSnappedBall* regina::NSnappedBall::clone | ( | ) | const |
Returns a newly created clone of this structure.
static NSnappedBall* regina::NSnappedBall::formsSnappedBall | ( | NTetrahedron * | tet | ) | [static] |
Determines if the given tetrahedron forms a snapped 3-ball within a triangulation.
The ball need not be the entire triangulation; the boundary faces may be glued to something else (or to each other).
Note that the two boundary faces of the snapped 3-ball need not be boundary faces within the overall triangulation, i.e., they may be identified with each other or with faces of other tetrahedra.
tet | the tetrahedron to examine as a potential 3-ball. |
null
if the given tetrahedron is not a snapped 3-ball. int regina::NSnappedBall::getBoundaryFace | ( | int | index | ) | const [inline] |
Returns one of the two faces that forms the boundary of this snapped ball.
You are guaranteed that index 0 will return a smaller face number than index 1.
index | specifies which of the two boundary faces to return; this must be either 0 or 1. |
int regina::NSnappedBall::getEquatorEdge | ( | ) | const [inline] |
Returns the edge that forms the equator of the boundary sphere of this ball.
NAbelianGroup* regina::NSnappedBall::getHomologyH1 | ( | ) | const [virtual] |
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 from regina::NStandardTriangulation.
int regina::NSnappedBall::getInternalEdge | ( | ) | const [inline] |
Returns the edge internal to this snapped ball.
int regina::NSnappedBall::getInternalFace | ( | int | index | ) | const [inline] |
Returns one of the two faces internal to this snapped ball.
You are guaranteed that index 0 will return a smaller face number than index 1.
index | specifies which of the two internal faces to return; this must be either 0 or 1. |
NManifold* regina::NSnappedBall::getManifold | ( | ) | const [virtual] |
Returns the 3-manifold represented by this triangulation, if such a recognition routine has been implemented.
If the 3-manifold cannot be recognised then this routine will return 0.
The details of which standard triangulations have 3-manifold 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 3-manifolds can be recognised will grow between releases.
The 3-manifold will be newly allocated and must be destroyed by the caller of this routine.
Reimplemented from regina::NStandardTriangulation.
NTetrahedron * regina::NSnappedBall::getTetrahedron | ( | ) | const [inline] |
Returns the tetrahedron that forms this snapped ball.
std::ostream & regina::NSnappedBall::writeName | ( | std::ostream & | out | ) | const [inline, virtual] |
Writes the name of this triangulation as a human-readable string to the given output stream.
out | the output stream to which to write. |
Implements regina::NStandardTriangulation.
std::ostream & regina::NSnappedBall::writeTeXName | ( | std::ostream & | out | ) | const [inline, 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.
void regina::NSnappedBall::writeTextLong | ( | std::ostream & | out | ) | const [inline, virtual] |
Writes this object in long text format to the given output stream.
The output should provided the user with all the information they could want. The output should end with a 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.