Classes | |
struct | regina::NDiscSpec |
Specifies a single normal disc in a normal surface. More... | |
class | regina::NDiscSetTet |
Represents a set of normal discs inside a single tetrahedron. More... | |
class | regina::NDiscSetTetData< T > |
Stores data of type T for every normal disc inside a single tetrahedron. More... | |
class | regina::NDiscSetSurface |
Represents the set of all normal discs forming a normal surface. More... | |
class | regina::NDiscSetSurfaceData< T > |
Stores data of type T for every normal disc within a particular normal surface. More... | |
class | regina::NDiscSpecIterator |
An iterator used for running through all normal discs in a normal surface. More... | |
class | regina::NNormalSurfaceVector |
Stores the vector of a single normal surface in a 3-manifold. More... | |
class | regina::NNormalSurface |
Represents a single normal surface in a 3-manifold. More... | |
class | regina::NNormalSurfaceList |
A packet representing a collection of normal surfaces in a 3-manifold. More... | |
struct | regina::NPrismSpec |
Specifies a single triangular prism in a tetrahedron. More... | |
class | regina::NPrismSetSurface |
Represents the set of prisms defined by slicing along all the quads in a particular normal surface. More... | |
class | regina::NNormalSurfaceVectorANStandard |
An almost normal surface vector using standard triangle-quad-oct coordinates. More... | |
class | regina::NNormalSurfaceVectorMirrored |
A normal surface vector that is mirrored in another coordinate system to avoid frequent lengthy calculations. More... | |
class | regina::NNormalSurfaceVectorQuad |
A normal surface vector using quad coordinates. More... | |
class | regina::NNormalSurfaceVectorStandard |
A normal surface vector using standard triangle-quad coordinates. More... | |
class | regina::NSurfaceFilter |
A packet that accepts or rejects normal surfaces. More... | |
class | regina::NSurfaceSet |
Represents a collection of normal surfaces in a 3-manifold. More... | |
class | regina::NSurfaceSubset |
Represents a subset of a normal surface set. More... | |
class | regina::NXMLFilterReader |
An XML element reader that reads the specific details of a normal surface filter. More... | |
class | regina::NXMLFilterPacketReader |
An XML packet reader that reads a single surface filter. More... | |
class | regina::NXMLNormalSurfaceReader |
An XML element reader that reads a single normal surface. More... | |
class | regina::NXMLNormalSurfaceListReader |
An XML packet reader that reads a single normal surface list. More... | |
class | regina::NSurfaceFilterCombination |
A normal surface filter that simply combines other filters. More... | |
class | regina::NSurfaceFilterProperties |
A normal surface filter that filters by basic properties of the normal surface. More... | |
Functions | |
std::ostream & | regina::operator<< (std::ostream &out, const NDiscSpec &spec) |
Writes the given disc specifier to the given output stream. | |
bool | regina::numberDiscsAwayFromVertex (int discType, int vertex) |
Determines whether or not normal discs of the given type are numbered away from the given vertex. | |
bool | regina::discOrientationFollowsEdge (int discType, int vertex, int edgeStart, int edgeEnd) |
Determines whether or not the natural boundary orientation of a normal disc of the given type follows the given directed normal arc. | |
template<class RayOutputIterator, class FaceOutputIterator> | |
void | regina::createNonNegativeCone (NTriangulation *triangulation, int flavour, RayOutputIterator rays, FaceOutputIterator faces) |
Writes to the given output iterators newly allocated rays and faces representing the cone in the given flavour of coordinate system obtained by setting all coordinates non-negative. | |
NMatrixInt * | regina::makeMatchingEquations (NTriangulation *triangulation, int flavour) |
Creates a new set of normal surface matching equations for the given triangulation using the given flavour of coordinate system. | |
std::ostream & | regina::operator<< (std::ostream &out, const NPrismSpec &spec) |
Writes the given prism specifier to the given output stream. | |
Variables | |
const int | regina::vertexSplit [4][4] |
Lists which vertex splits split which pairs of vertices. | |
const int | regina::vertexSplitMeeting [4][4][2] |
Lists which vertex splits meet which edges. | |
const int | regina::vertexSplitDefn [3][4] |
Lists the vertices which each vertex split splits. | |
const int | regina::vertexSplitPartner [3][4] |
Lists the second vertex with which each vertex is paired under each vertex split. | |
const char | regina::vertexSplitString [3][6] |
Contains strings describing which vertices each vertex split splits. | |
const NPerm | regina::triDiscArcs [4][3] |
Lists in consecutive order the directed normal arcs that form the boundary of each type of triangular normal disc. | |
const NPerm | regina::quadDiscArcs [3][4] |
Lists in consecutive order the directed normal arcs that form the boundary of each type of quadrilateral normal disc. | |
const NPerm | regina::octDiscArcs [3][8] |
Lists in consecutive order the directed normal arcs that form the boundary of each type of octahedral normal disc. |
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Writes to the given output iterators newly allocated rays and faces representing the cone in the given flavour of coordinate system obtained by setting all coordinates non-negative. To rays will be written the extremal rays of this cone, each being a unit vector along a coordinate axis. They will be written in order from the unit vector along the 0th coordinate axis to the last, and will all be of the subclass of NNormalSurfaceVector corresponding to the given flavour of coordinate system. To faces will be written the vectors perpendicular to the hyperplanes that make up the faces of this cone. Each of these vectors will also be a unit vector along a coordinate axis. These vectors will be written in the same order as the rays, and will all be of class NVectorUnit. The resulting lists of extremal rays and faces are guaranteed not to contain any duplicates or redundancies.
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Determines whether or not the natural boundary orientation of a normal disc of the given type follows the given directed normal arc. Natural boundary orientation is defined by arrays triDiscArcs, quadDiscArcs and octDiscArcs.
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Creates a new set of normal surface matching equations for the given triangulation using the given flavour of coordinate system. The returned matrix will be newly allocated and its destruction will be the responsibility of the caller of this routine. Each equation will be represented as a row of the matrix. Each column of the matrix represents a coordinate in the given flavour of coordinate system.
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Determines whether or not normal discs of the given type are numbered away from the given vertex.
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Writes the given prism specifier to the given output stream.
The prism specifier will be written as a pair
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Writes the given disc specifier to the given output stream.
The disc specifier will be written as a triple
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Lists in consecutive order the directed normal arcs that form the boundary of each type of octahedral normal disc.
Each permutation p represents an arc about vertex
Array
Note that permutation
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Lists in consecutive order the directed normal arcs that form the boundary of each type of quadrilateral normal disc.
Each permutation p represents an arc about vertex
Array
Note that permutation
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Lists in consecutive order the directed normal arcs that form the boundary of each type of triangular normal disc.
Each permutation p represents an arc about vertex
Array Note that every permutation in this array is even.
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Lists which vertex splits split which pairs of vertices.
There are three vertex splits, numbered 0,1,2. Each vertex split split the four tetrahedron vertices 0,1,2,3 into two pairs. |
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Lists the vertices which each vertex split splits.
See vertexSplit for details on what a vertex split is. Vertex split number |
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Lists which vertex splits meet which edges.
See vertexSplit for details on what a vertex split is. |
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Lists the second vertex with which each vertex is paired under each vertex split.
See vertexSplit for details on what a vertex split is. Vertex split number |
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Contains strings describing which vertices each vertex split splits.
See vertexSplit for details on what a vertex split is. The string describing vertex split number |