Regina Calculation Engine
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Represents a 3-manifold from the SnapPea cusped census. More...
#include <manifold/nsnappeacensusmfd.h>
Public Member Functions | |
NSnapPeaCensusManifold (char newSection, unsigned long newIndex) | |
Creates a new SnapPea census manifold with the given parameters. More... | |
NSnapPeaCensusManifold (const NSnapPeaCensusManifold &cloneMe) | |
Creates a clone of the given SnapPea census manifold. More... | |
virtual | ~NSnapPeaCensusManifold () |
Destroys this structure. More... | |
char | getSection () const |
Returns the section of the SnapPea census to which this manifold belongs. More... | |
unsigned long | getIndex () const |
Returns the index of this manifold within its particular section of the SnapPea census. More... | |
bool | operator== (const NSnapPeaCensusManifold &compare) const |
Determines whether this and the given structure represent the same 3-manifold from the SnapPea census. More... | |
NTriangulation * | construct () const |
Returns a triangulation of this 3-manifold, if such a construction has been implemented. More... | |
NAbelianGroup * | getHomologyH1 () const |
Returns the first homology group of this 3-manifold, if such a routine has been implemented. More... | |
bool | isHyperbolic () const |
Returns whether or not this is a finite-volume hyperbolic manifold. More... | |
std::ostream & | writeName (std::ostream &out) const |
Writes the common name of this 3-manifold as a human-readable string to the given output stream. More... | |
std::ostream & | writeTeXName (std::ostream &out) const |
Writes the common name of this 3-manifold in TeX format to the given output stream. More... | |
std::ostream & | writeStructure (std::ostream &out) const |
Writes details of the structure of this 3-manifold that might not be evident from its common name to the given output stream. More... | |
std::string | getName () const |
Returns the common name of this 3-manifold as a human-readable string. More... | |
std::string | getTeXName () const |
Returns the common name of this 3-manifold in TeX format. More... | |
std::string | getStructure () const |
Returns details of the structure of this 3-manifold that might not be evident from its common name. More... | |
bool | operator< (const NManifold &compare) const |
Determines in a fairly ad-hoc fashion whether this representation of this 3-manifold is "smaller" than the given representation of the given 3-manifold. More... | |
virtual void | writeTextShort (std::ostream &out) const |
Writes this object in short text format to the given output stream. More... | |
virtual void | writeTextLong (std::ostream &out) const |
Writes this object in long 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 Attributes | |
static const char | SEC_5 |
Represents the collection of manifolds formed from five or fewer tetrahedra (both orientable and non-orientable). More... | |
static const char | SEC_6_OR |
Represents the collection of orientable manifolds formed from six tetrahedra. More... | |
static const char | SEC_6_NOR |
Represents the collection of non-orientable manifolds formed from six tetrahedra. More... | |
static const char | SEC_7_OR |
Represents the collection of orientable manifolds formed from seven tetrahedra. More... | |
static const char | SEC_7_NOR |
Represents the collection of non-orientable manifolds formed from seven tetrahedra. More... | |
Represents a 3-manifold 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).
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 NSnapPeaCensusTri. In particular, the section constants defined in NSnapPeaCensusTri and NSnapPeaCensusManifold are identical, and so may be freely mixed. Furthermore, the section and index parameters of an NSnapPeaCensusTri are identical to those of its corresponding NSnapPeaCensusManifold.
All of the optional NManifold routines are implemented for this class.
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inline |
Creates a new SnapPea census manifold with the given parameters.
newSection | the section of the SnapPea census to which this manifold belongs. This must be one of the section constants defined in this class. |
newIndex | specifies which particular manifold within the given section is represented. The indices for each section begin counting at zero, and so this index must be between 0 and k-1, where k is the total number of manifolds in the given section. |
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inline |
Creates a clone of the given SnapPea census manifold.
cloneMe | the census manifold to clone. |
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inlinevirtual |
Destroys this structure.
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virtual |
Returns a triangulation of this 3-manifold, if such a construction has been implemented.
If no construction routine has yet been implemented for this 3-manifold (for instance, if this 3-manifold is a Seifert fibred space with sufficiently many exceptional fibres) then this routine will return 0.
The details of which 3-manifolds have construction routines can be found in the notes for the corresponding subclasses of NManifold. The default implemention of this routine returns 0.
Reimplemented from regina::NManifold.
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inherited |
Returns the output from writeTextLong() as a string.
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virtual |
Returns the first homology group of this 3-manifold, if such a routine has been implemented.
If the calculation of homology has not yet been implemented for this 3-manifold then this routine will return 0.
The details of which 3-manifolds have homology calculation routines can be found in the notes for the corresponding subclasses of NManifold. The default implemention of this routine returns 0.
The homology group will be newly allocated and must be destroyed by the caller of this routine.
Reimplemented from regina::NManifold.
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inline |
Returns the index of this manifold within its particular section of the SnapPea census.
Note that indices for each section begin counting at zero.
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inherited |
Returns the common name of this 3-manifold as a human-readable string.
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inline |
Returns the section of the SnapPea census to which this manifold belongs.
This will be one of the section constants defined in this class.
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inherited |
Returns details of the structure of this 3-manifold that might not be evident from its common name.
For instance, for an orbit space S^3/G this routine might return the full Seifert structure.
This routine may return the empty string if no additional details are deemed necessary.
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inherited |
Returns the common name of this 3-manifold in TeX format.
No leading or trailing dollar signs will be included.
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inlinevirtual |
Returns whether or not this is a finite-volume hyperbolic manifold.
true
if this is a finite-volume hyperbolic manifold, or false
if not. Implements regina::NManifold.
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inherited |
Determines in a fairly ad-hoc fashion whether this representation of this 3-manifold is "smaller" than the given representation of the given 3-manifold.
The ordering imposed on 3-manifolds is purely aesthetic on the part of the author, and is subject to change in future versions of Regina.
The ordering also depends on the particular representation of the 3-manifold that is used. As an example, different representations of the same Seifert fibred space might well be ordered differently.
All that this routine really offers is a well-defined way of ordering 3-manifold representations.
compare | the 3-manifold representation with which this will be compared. |
true
if and only if this is "smaller" than the given 3-manifold representation.
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inline |
Determines whether this and the given structure represent the same 3-manifold from the SnapPea census.
compare | the structure with which this will be compared. |
true
if and only if this and the given structure represent the same SnapPea census manifold.
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inherited |
Returns the output from writeTextShort() as a string.
__str__()
function.
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inlineinherited |
A deprecated alias for str(), which returns the output from writeTextShort() as a string.
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inlineinherited |
A deprecated alias for detail(), which returns the output from writeTextLong() as a string.
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virtual |
Writes the common name of this 3-manifold as a human-readable string to the given output stream.
out | the output stream to which to write. |
Implements regina::NManifold.
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virtual |
Writes details of the structure of this 3-manifold that might not be evident from its common name to the given output stream.
For instance, for an orbit space S^3/G this routine might write the full Seifert structure.
This routine may write nothing if no additional details are deemed necessary. The default implementation of this routine behaves in this way.
out | the output stream to which to write. |
Reimplemented from regina::NManifold.
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virtual |
Writes the common name of this 3-manifold 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::NManifold.
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inlinevirtualinherited |
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 human-readable, 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.
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inlinevirtualinherited |
Writes this object in short text format to the given output stream.
The output should be human-readable, should fit on a single line, and should not end with a newline.
out | the output stream to which to write. |
Implements regina::ShareableObject.
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Represents the collection of manifolds formed from five or fewer tetrahedra (both orientable and non-orientable).
There are 415 manifolds in this section.
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Represents the collection of non-orientable manifolds formed from six tetrahedra.
There are 259 manifolds in this section.
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Represents the collection of orientable manifolds formed from six tetrahedra.
There are 962 manifolds in this section.
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Represents the collection of non-orientable manifolds formed from seven tetrahedra.
There are 887 manifolds in this section.
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Represents the collection of orientable manifolds formed from seven tetrahedra.
There are 3552 manifolds in this section.