Represents an exceptional (alpha, beta) fibre in a Seifert fibred space.
More...
#include <manifold/nsfs.h>

long  alpha 
 The first parameter of this (alpha, beta) fibre. More...


long  beta 
 The second parameter of this (alpha, beta) fibre. More...


Represents an exceptional (alpha, beta) fibre in a Seifert fibred space.
The first parameter alpha must be strictly positive, and the two parameters alpha and beta must be coprime.
Note that we allow regular fibres with alpha = 1, and we do not impose range limits on beta (thus beta may be negative, or it may be larger than alpha). This is to allow more flexibility in routines such as NSFSpace::insertFibre().
 Warning
 In Regina 4.2.1 and earlier, this class was named NExceptionalFibre. The new NSFSFibre class was introduced with Regina 4.3, and has changed its behaviour (in particular, the natural ordering of fibres has changed). Code that was written to work with the old NExceptionalFibre class should be looked at closely before being adapted to the new NSFSFibre class (i.e., it may require more than just substituting class names).
 Test:
 Included in the test suite.
regina::NSFSFibre::NSFSFibre 
( 
 ) 


inline 
Creates a new uninitialised exceptional fibre.
regina::NSFSFibre::NSFSFibre 
( 
long 
newAlpha, 


long 
newBeta 

) 
 

inline 
Creates a new exceptional fibre with the given parameters.
 Parameters

newAlpha  the first parameter (the index) of this exceptional fibre; this must be strictly positive. 
newBeta  the second parameter of this exceptional fibre; this must have no common factors with the first parameter newAlpha. 
regina::NSFSFibre::NSFSFibre 
( 
const NSFSFibre & 
cloneMe  ) 


inline 
Creates a new exceptional fibre that is a clone of the given fibre.
 Parameters

cloneMe  the exceptional fibre to clone. 
bool regina::NSFSFibre::operator< 
( 
const NSFSFibre & 
compare  ) 
const 

inline 
Determines if this exceptional fibre is smaller than the given fibre.
Fibres are sorted by alpha and then by beta.
 Parameters

compare  the fibre with which this will be compared. 
 Returns
true
if and only if this is smaller than the given fibre.
void regina::NSFSFibre::operator= 
( 
const NSFSFibre & 
cloneMe  ) 


inline 
Makes this exceptional fibre a clone of the given fibre.
 Parameters

cloneMe  the exceptional fibre to clone. 
bool regina::NSFSFibre::operator== 
( 
const NSFSFibre & 
compare  ) 
const 

inline 
Determines if this and the given exceptional fibre are identical.
This requires both fibres to have the same values for alpha and the same values for beta.
 Parameters

compare  the fibre with which this will be compared. 
 Returns
true
if and only if this and the given fibre are identical.
long regina::NSFSFibre::alpha 
The first parameter of this (alpha, beta) fibre.
Note that this is the index of the exceptional fibre. This parameter must always be strictly positive.
long regina::NSFSFibre::beta 
The second parameter of this (alpha, beta) fibre.
This parameter must have no common factors with alpha.
The documentation for this struct was generated from the following file: