Regina Calculation Engine
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Represents a specific set of gluing permutations to complement a particular pairwise matching of simplex facets. More...
#include <census/gluingperms.h>
Public Member Functions | |
GluingPerms (const GluingPerms< dim > &cloneMe) | |
Creates a new set of gluing permutations that is a clone of the given permutation set. More... | |
GluingPerms (std::istream &in) | |
Reads a new set of gluing permutations from the given input stream. More... | |
virtual | ~GluingPerms () |
Deallocates any memory used by this structure. More... | |
bool | inputError () const |
Was an error found during construction from an input stream? More... | |
unsigned | size () const |
Returns the total number of simplices under consideration. More... | |
const FacetPairing< dim > * | facetPairing () const |
Returns the specific pairing of simplex facets that this set of gluing permutations complements. More... | |
Perm< dim+1 > | gluingPerm (const FacetSpec< dim > &source) const |
Returns the gluing permutation associated with the given simplex facet. More... | |
Perm< dim+1 > | gluingPerm (unsigned simp, unsigned facet) const |
Returns the gluing permutation associated with the given simplex facet. More... | |
Triangulation< dim > * | triangulate () const |
Returns a newly created triangulation as modelled by this set of gluing permutations and the associated simplex facet pairing. More... | |
virtual void | dumpData (std::ostream &out) const |
Dumps all internal data in a plain text format to the given output stream. More... | |
Protected Member Functions | |
GluingPerms (const FacetPairing< dim > *pairing) | |
Creates a new permutation set. More... | |
int & | permIndex (const FacetSpec< dim > &source) |
Returns the index into array Perm<dim+1>::Sn_1 describing how the the given facet is joined to its partner. More... | |
int & | permIndex (unsigned simp, unsigned facet) |
Returns the index into array Perm<dim+1>::Sn_1 describing how the the given facet is joined to its partner. More... | |
const int & | permIndex (const FacetSpec< dim > &source) const |
Returns the index into array Perm<dim+1>::Sn_1 describing how the the given facet is joined to its partner. More... | |
const int & | permIndex (unsigned simp, unsigned facet) const |
Returns the index into array Perm<dim+1>::Sn_1 describing how the the given facet is joined to its partner. More... | |
int | gluingToIndex (const FacetSpec< dim > &source, const Perm< dim+1 > &gluing) const |
Returns the index into array Perm<dim+1>::Sn_1 corresponding to the given gluing permutation from the given facet to its partner. More... | |
int | gluingToIndex (unsigned simp, unsigned facet, const Perm< dim+1 > &gluing) const |
Returns the index into array Perm<dim+1>::Sn_1 corresponding to the given gluing permutation from the given facet to its partner. More... | |
Perm< dim+1 > | indexToGluing (const FacetSpec< dim > &source, int index) const |
Returns the gluing permutation from the given facet to its partner that corresponds to the given index into array Perm<dim+1>::Sn_1. More... | |
Perm< dim+1 > | indexToGluing (unsigned simp, unsigned facet, int index) const |
Returns the gluing permutation from the given facet to its partner that corresponds to the given index into array Perm<dim+1>::Sn_1. More... | |
Protected Attributes | |
const FacetPairing< dim > * | pairing_ |
The facet pairing that this permutation set complements. More... | |
int * | permIndices_ |
The index into array Perm<dim+1>::Sn_1 describing how each simplex facet is glued to its partner. More... | |
bool | inputError_ |
Has an error occurred during construction from an input stream? More... | |
Represents a specific set of gluing permutations to complement a particular pairwise matching of simplex facets.
Given a pairwise matching of facets (as described by class FacetPairing<dim>), each facet that is matched with some other facet will have an associated permutation of (dim + 1) elements.
If a facet is matched with some other facet, the two associated permutations in this set will be inverses. If a facet is left deliberately unmatched, it will have no associated permutation in this set.
Such a set of permutations models part of the structure of a triangulation, in which each simplex facet that is glued to another facet has a corresponding gluing permutation (and the matched facet has the inverse gluing permutation).
dim | the dimension of the underlying triangulation that is being modelled. This must be between 2 and 15 inclusive. |