Represents a particularly simple closed surface bundle over the circle.
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#include <manifold/nsimplesurfacebundle.h>
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static const int | S2xS1 |
| Represents the orientable 2-sphere bundle over the circle. More...
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static const int | S2xS1_TWISTED |
| Represents the non-orientable twisted 2-sphere bundle over the circle. More...
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static const int | RP2xS1 |
| Represents the projective plane bundle over the circle. More...
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Represents a particularly simple closed surface bundle over the circle.
Only 2-sphere bundles, twisted 2-sphere bundles and projective plane bundles are considered.
All optional NManifold routines are implemented for this class.
regina::NSimpleSurfaceBundle::NSimpleSurfaceBundle |
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int |
newType | ) |
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inline |
Creates a new surface bundle of the given type.
- Parameters
-
newType | the specific type of surface bundle to represent. This must be one of the 3-manifold constants defined in this class. |
Creates a clone of the given surface bundle.
- Parameters
-
cloneMe | the surface bundle to clone. |
virtual NTriangulation* regina::NSimpleSurfaceBundle::construct |
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const |
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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.
- Returns
- a triangulation of this 3-manifold, or 0 if the appropriate construction routine has not yet been implemented.
Reimplemented from regina::NManifold.
std::string regina::ShareableObject::detail |
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const |
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inherited |
NAbelianGroup* regina::NSimpleSurfaceBundle::getHomologyH1 |
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const |
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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.
- Returns
- the first homology group of this 3-manifold, or 0 if the appropriate calculation routine has not yet been implemented.
Reimplemented from regina::NManifold.
std::string regina::NManifold::getName |
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const |
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inherited |
Returns the common name of this 3-manifold as a human-readable string.
- Returns
- the common name of this 3-manifold.
std::string regina::NManifold::getStructure |
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const |
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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.
- Returns
- a string describing additional structural details.
std::string regina::NManifold::getTeXName |
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const |
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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.
- Warning
- The behaviour of this routine has changed as of Regina 4.3; in earlier versions, leading and trailing dollar signs were provided.
- Returns
- the common name of this 3-manifold in TeX format.
int regina::NSimpleSurfaceBundle::getType |
( |
| ) |
const |
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inline |
Returns the specific type of surface bundle being represented.
- Returns
- the type of surface bundle. This will be one of the 3-manifold constants defined in this class.
bool regina::NSimpleSurfaceBundle::isHyperbolic |
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const |
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inlinevirtual |
Returns whether or not this is a finite-volume hyperbolic manifold.
- Returns
true
if this is a finite-volume hyperbolic manifold, or false
if not.
Implements regina::NManifold.
bool regina::NManifold::operator< |
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const NManifold & |
compare | ) |
const |
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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.
- Warning
- Currently this routine is only implemented in full for closed 3-manifolds. For most classes of bounded 3-manifolds, this routine simply compares the strings returned by getName().
- Parameters
-
compare | the 3-manifold representation with which this will be compared. |
- Returns
true
if and only if this is "smaller" than the given 3-manifold representation.
Determines whether this and the given surface bundle represent the same 3-manifold.
- Parameters
-
compare | the surface bundle with which this will be compared. |
- Returns
true
if and only if this and the given surface bundle are homeomorphic.
std::string regina::ShareableObject::str |
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const |
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inherited |
Returns the output from writeTextShort() as a string.
- Python:
- This implements the
__str__()
function.
- Returns
- a short text representation of this object.
std::string regina::ShareableObject::toString |
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const |
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inlineinherited |
A deprecated alias for str(), which returns the output from writeTextShort() as a string.
- Deprecated:
- This routine has (at long last) been deprecated; use the simpler-to-type str() instead.
- Returns
- a short text representation of this object.
std::string regina::ShareableObject::toStringLong |
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const |
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inlineinherited |
A deprecated alias for detail(), which returns the output from writeTextLong() as a string.
- Deprecated:
- This routine has (at long last) been deprecated; use the simpler-to-type detail() instead.
- Returns
- a long text representation of this object.
std::ostream& regina::NSimpleSurfaceBundle::writeName |
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std::ostream & |
out | ) |
const |
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virtual |
Writes the common name of this 3-manifold as a human-readable string to the given output stream.
- Python:
- The parameter out does not exist; standard output will be used.
- Parameters
-
out | the output stream to which to write. |
- Returns
- a reference to the given output stream.
Implements regina::NManifold.
std::ostream & regina::NManifold::writeStructure |
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std::ostream & |
out | ) |
const |
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inlinevirtualinherited |
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.
- Python:
- The parameter out does not exist; standard output will be used.
- Parameters
-
out | the output stream to which to write. |
- Returns
- a reference to the given output stream.
Reimplemented in regina::NSFSpace, and regina::NSnapPeaCensusManifold.
std::ostream& regina::NSimpleSurfaceBundle::writeTeXName |
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std::ostream & |
out | ) |
const |
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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.
- Warning
- The behaviour of this routine has changed as of Regina 4.3; in earlier versions, leading and trailing dollar signs were provided.
- Python:
- The parameter out does not exist; standard output will be used.
- Parameters
-
out | the output stream to which to write. |
- Returns
- a reference to the given output stream.
Implements regina::NManifold.
void regina::NManifold::writeTextLong |
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std::ostream & |
out | ) |
const |
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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.
- Python:
- The parameter out does not exist; standard output will be used.
- Parameters
-
out | the output stream to which to write. |
Reimplemented from regina::ShareableObject.
void regina::NManifold::writeTextShort |
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std::ostream & |
out | ) |
const |
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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.
- Python:
- The parameter out does not exist; standard output will be used.
- Parameters
-
out | the output stream to which to write. |
Implements regina::ShareableObject.
const int regina::NSimpleSurfaceBundle::RP2xS1 |
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static |
Represents the projective plane bundle over the circle.
const int regina::NSimpleSurfaceBundle::S2xS1 |
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static |
Represents the orientable 2-sphere bundle over the circle.
const int regina::NSimpleSurfaceBundle::S2xS1_TWISTED |
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static |
Represents the non-orientable twisted 2-sphere bundle over the circle.
The documentation for this class was generated from the following file: