Regina Calculation Engine
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regina::SnapPeaCensusTri Class Reference

Represents a 3-manifold triangulation from the SnapPea cusped census. More...

#include <subcomplex/snappeacensustri.h>

Inheritance diagram for regina::SnapPeaCensusTri:
regina::StandardTriangulation regina::Output< StandardTriangulation >

Public Member Functions

SnapPeaCensusTriclone () const
 Returns a newly created clone of this structure. More...
 
char section () const
 Returns the section of the SnapPea census to which this triangulation belongs. More...
 
unsigned long index () const
 Returns the index of this triangulation within its particular section of the SnapPea census. More...
 
bool operator== (const SnapPeaCensusTri &compare) const
 Determines whether this and the given structure represent the same triangulation from the SnapPea census. More...
 
bool operator!= (const SnapPeaCensusTri &compare) const
 Determines whether this and the given structure represent different triangulations from the SnapPea census. More...
 
Manifoldmanifold () const override
 Returns the 3-manifold represented by this triangulation, if such a recognition routine has been implemented. More...
 
AbelianGrouphomology () const override
 Returns the expected first homology group of this triangulation, if such a routine has been implemented. More...
 
std::ostream & writeName (std::ostream &out) const override
 Writes the name of this triangulation as a human-readable string to the given output stream. More...
 
std::ostream & writeTeXName (std::ostream &out) const override
 Writes the name of this triangulation in TeX format to the given output stream. More...
 
std::string name () const
 Returns the name of this specific triangulation as a human-readable string. More...
 
std::string TeXName () const
 Returns the name of this specific triangulation in TeX format. More...
 
AbelianGrouphomologyH1 () 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 a short text representation of this object to the given output stream. More...
 
virtual void writeTextLong (std::ostream &out) const
 Writes a detailed text representation of this object to the given output stream. More...
 
std::string str () const
 Returns a short text representation of this object. More...
 
std::string utf8 () const
 Returns a short text representation of this object using unicode characters. More...
 
std::string detail () const
 Returns a detailed text representation of this object. More...
 

Static Public Member Functions

static SnapPeaCensusTriisSmallSnapPeaCensusTri (const Component< 3 > *comp)
 Determines if the given triangulation component is one of the smallest SnapPea census triangulations. More...
 
static StandardTriangulationisStandardTriangulation (Component< 3 > *component)
 Determines whether the given component represents one of the standard triangulations understood by Regina. More...
 
static StandardTriangulationisStandardTriangulation (Triangulation< 3 > *tri)
 Determines whether the given triangulation represents one of the standard triangulations understood by Regina. More...
 

Static Public Attributes

static const char SEC_5
 Represents the collection of triangulations formed from five or fewer tetrahedra (both orientable and non-orientable). More...
 
static const char SEC_6_OR
 Represents the collection of orientable triangulations formed from six tetrahedra. More...
 
static const char SEC_6_NOR
 Represents the collection of non-orientable triangulations formed from six tetrahedra. More...
 
static const char SEC_7_OR
 Represents the collection of orientable triangulations formed from seven tetrahedra. More...
 
static const char SEC_7_NOR
 Represents the collection of non-orientable triangulations formed from seven tetrahedra. More...
 

Friends

class SnapPeaCensusManifold
 

Detailed Description

Represents a 3-manifold triangulation from the SnapPea cusped census.

The SnapPea cusped census is the census of cusped hyperbolic 3-manifolds formed from up to seven tetrahedra. This census was tabulated by Callahan, Hildebrand and Weeks, and is shipped with SnapPea 3.0d3 (and also with Regina).

Note
The modern cusped hyperbolic census now extends to nine tetrahedra, and indeed the 9-tetrahedron database is accessible through the Census lookup routines. However, for the time being, the scope of these SnapPeaCensusManifold and SnapPeaCensusTri classes is restricted to the original Callahan-Hildebrand-Weeks 7-tetrahedron census only.

The census is split into five different sections according to number of tetrahedra and orientability. Each of these sections corresponds to one of the section constants defined in this class.

For further details regarding the SnapPea census, see "A census of cusped hyperbolic 3-manifolds", Patrick J. Callahan, Martin V. Hildebrand and Jeffrey R. Weeks, Math. Comp. 68 (1999), no. 225, pp. 321–332.

Note that this class is closely tied to SnapPeaCensusManifold. In particular, the section constants defined in SnapPeaCensusManifold and SnapPeaCensusTri are identical, and so may be freely mixed. Furthermore, the section and index parameters of a SnapPeaCensusTri are identical to those of its corresponding SnapPeaCensusManifold.

All of the optional StandardTriangulation routines are implemented for this class.

Member Function Documentation

◆ detail()

std::string regina::Output< StandardTriangulation , false >::detail ( ) const
inherited

Returns a detailed text representation of this object.

This text may span many lines, and should provide the user with all the information they could want. It should be human-readable, should not contain extremely long lines (which cause problems for users reading the output in a terminal), and should end with a final newline. There are no restrictions on the underlying character set.

Returns
a detailed text representation of this object.

◆ str()

std::string regina::Output< StandardTriangulation , false >::str ( ) const
inherited

Returns a short text representation of this object.

This text should be human-readable, should fit on a single line, and should not end with a newline. Where possible, it should use plain ASCII characters.

Python:\n In addition to str(), this is also used as the
Python "stringification" function __str__().
Returns
a short text representation of this object.

◆ utf8()

std::string regina::Output< StandardTriangulation , false >::utf8 ( ) const
inherited

Returns a short text representation of this object using unicode characters.

Like str(), this text should be human-readable, should fit on a single line, and should not end with a newline. In addition, it may use unicode characters to make the output more pleasant to read. This string will be encoded in UTF-8.

Returns
a short text representation of this object.

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

Copyright © 1999-2018, The Regina development team
This software is released under the GNU General Public License, with some additional permissions; see the source code for details.
For further information, or to submit a bug or other problem, please contact Ben Burton (bab@maths.uq.edu.au).