Classes | |
class | regina::NBoundaryComponent |
Represents a component of the boundary of a triangulation. More... | |
class | regina::NComponent |
Represents a component of a triangulation. More... | |
class | regina::NEdgeEmbedding |
Details how an edge in the skeleton forms part of an individual tetrahedron. More... | |
class | regina::NEdge |
Represents an edge in the skeleton of a triangulation. More... | |
class | regina::NFaceEmbedding |
Details how a face in the skeleton forms part of an individual tetrahedron. More... | |
class | regina::NFace |
Represents a face in the skeleton of a triangulation. More... | |
class | regina::NFacePair |
Represents a pair of tetrahedron face numbers. More... | |
class | regina::NIsomorphism |
Represents a combinatorial isomorphism from one triangulation into another. More... | |
class | regina::NIsomorphismDirect |
An isomorphism in which face permutations are stored directly. More... | |
class | regina::NIsomorphismIndexed |
An isomorphism in which face permutations are stored as indices into the allPermsS4 array. More... | |
class | regina::NPerm |
Represents a permutation of {0,1,2,3}. More... | |
class | regina::NPermItS4 |
An iterator class that runs through all 24 permutations of four elements. More... | |
struct | regina::NTetFace |
A lightweight class used to refer to a particular face of a particular tetrahedron. More... | |
class | regina::NTetrahedron |
Represents a tetrahedron in a triangulation. More... | |
class | regina::NTriangulation |
Stores the triangulation of a 3-manifold along with its various cellular structures and other information. More... | |
class | regina::NVertexEmbedding |
Details how a vertex in the skeleton forms part of an individual tetrahedron. More... | |
class | regina::NVertex |
Represents a vertex in the skeleton of a triangulation. More... | |
class | regina::NXMLTriangulationReader |
An XML packet reader that reads a single triangulation. More... | |
Functions | |
std::ostream & | regina::operator<< (std::ostream &out, const NPerm &p) |
Writes a string representation of the given permutation to the given output stream. | |
NPerm | regina::faceOrdering (int face) |
Returns a permutation mapping (0,1,2) to the vertices of the given tetrahedron face in their canonical order. | |
NPerm | regina::edgeOrdering (int edge) |
Returns a permutation mapping (0,1) to the vertices of the given tetrahedron edge in their canonical order. | |
std::string | regina::faceDescription (int face) |
Returns a string representation of the permutation mapping (0,1,2) to the vertices of the given tetrahedron face in their canonical order, as described in faceOrdering(). | |
std::string | regina::faceDescription (const NPerm &facePerm) |
Returns a string representation of the given permutation with only the images of 0, 1 and 2 included. | |
std::string | regina::edgeDescription (int edge) |
Returns a string representation of the permutation mapping (0,1) to the vertices of the given tetrahedron edge in their canonical order, as described in edgeOrdering(). | |
std::string | regina::edgeDescription (const NPerm &edgePerm) |
Returns a string representation of the given permutation with only the images of 0 and 1 included. | |
Variables | |
const int | regina::edgeNumber [4][4] |
edgeNumber[i][j] is the number of the edge linking vertices i and j in a tetrahedron. | |
const int | regina::edgeStart [6] |
edgeStart[k] is the vertex of a tetrahedron at which edge k of the tetrahedron begins. | |
const int | regina::edgeEnd [6] |
edgeEnd[k] is the vertex of a tetrahedron at which edge k of the tetrahedron ends. | |
const NPerm | regina::allPermsS4 [24] |
Contains all possible permutations of four elements. | |
const unsigned | regina::allPermsS4Inv [24] |
Contains the inverses of the permutations in array allPermsS4. | |
const NPerm | regina::orderedPermsS4 [24] |
Contains all possible permutations of four elements in lexicographical order. | |
const NPerm | regina::allPermsS3 [6] |
Contains all possible permutations of three elements. | |
const unsigned | regina::allPermsS3Inv [6] |
Contains the inverses of the permutations in array allPermsS3. | |
const NPerm | regina::orderedPermsS3 [6] |
Contains all possible permutations of three elements in lexicographical order. | |
const NPerm | regina::allPermsS2 [2] |
Contains all possible permutations of two elements. | |
const unsigned | regina::allPermsS2Inv [2] |
Contains the inverses of the permutations in array allPermsS2. |
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Returns a string representation of the given permutation with only the images of 0 and 1 included.
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Returns a string representation of the permutation mapping (0,1) to the vertices of the given tetrahedron edge in their canonical order, as described in edgeOrdering(). Only the images of 0 and 1 will be put in the string.
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Returns a permutation mapping (0,1) to the vertices of the given tetrahedron edge in their canonical order. The images of (0,1) will be the vertex numbers of the vertices that make up the given edge of a generic tetrahedron. The images of 2 and 3 in the returned permutation will be chosen so that the permutation will be even.
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Returns a string representation of the given permutation with only the images of 0, 1 and 2 included.
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Returns a string representation of the permutation mapping (0,1,2) to the vertices of the given tetrahedron face in their canonical order, as described in faceOrdering(). Only the images of 0, 1 and 2 will be put in the string.
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Returns a permutation mapping (0,1,2) to the vertices of the given tetrahedron face in their canonical order. The images of (0,1,2) will be the vertex numbers of the vertices that make up the given face of a generic tetrahedron.
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Writes a string representation of the given permutation to the given output stream. The format will be the same as is used by NPerm::toString().
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Contains all possible permutations of two elements. In each permutation, 2 maps to 2 and 3 maps to 3. The permutations with even indices in the array are the even permutations, and those with odd indices in the array are the odd permutations. Note that the permutations are also in lexicographical order. |
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Contains the inverses of the permutations in array allPermsS2.
Specifically, the inverse of permutation |
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Contains all possible permutations of three elements. In each permutation, 3 maps to 3. The permutations with even indices in the array are the even permutations, and those with odd indices in the array are the odd permutations. Note that the permutations are not necessarily in lexicographical order. |
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Contains the inverses of the permutations in array allPermsS3.
Specifically, the inverse of permutation |
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Contains all possible permutations of four elements. The permutations with even indices in the array are the even permutations, and those with odd indices in the array are the odd permutations. Note that the permutations are not necessarily in lexicographical order. |
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Contains the inverses of the permutations in array allPermsS4.
Specifically, the inverse of permutation |
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Note that edge numbers of opposite edges will always add to 5. You are guaranteed that |
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Note that edge numbers of opposite edges will always add to 5. |
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Note that edge numbers of opposite edges will always add to 5. You are guaranteed that |
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Contains all possible permutations of three elements in lexicographical order. In each permutation, 3 maps to 3. |
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Contains all possible permutations of four elements in lexicographical order.
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