Regina Calculation Engine
Public Member Functions | Static Public Member Functions | Protected Attributes | List of all members
regina::NSVectorStandard Class Referenceabstract

A normal surface vector using standard triangle-quad coordinates. More...

#include <surfaces/nsvectorstandard.h>

Inheritance diagram for regina::NSVectorStandard:
regina::NormalSurfaceVector

Public Member Functions

 NSVectorStandard (size_t length)
 Creates a new vector all of whose entries are initialised to zero. More...
 
 NSVectorStandard (const Vector< LargeInteger > &cloneMe)
 Creates a new vector that is a clone of the given vector. More...
 
virtual LargeInteger triangles (size_t tetIndex, int vertex, const Triangulation< 3 > *triang) const override
 Returns the number of triangular discs of the given type in this normal surface. More...
 
virtual LargeInteger quads (size_t tetIndex, int quadType, const Triangulation< 3 > *triang) const override
 Returns the number of quadrilateral discs of the given type in this normal surface. More...
 
virtual LargeInteger octs (size_t tetIndex, int octType, const Triangulation< 3 > *triang) const override
 Returns the number of octagonal discs of the given type in this normal surface. More...
 
virtual LargeInteger edgeWeight (size_t edgeIndex, const Triangulation< 3 > *triang) const override
 Returns the number of times this normal surface crosses the given edge. More...
 
virtual LargeInteger arcs (size_t triIndex, int triVertex, const Triangulation< 3 > *triang) const override
 Returns the number of arcs in which this normal surface intersects the given triangle in the given direction. More...
 
const Raycoords () const
 Gives read-only access to the underlying vector of coordinates. More...
 
virtual NormalSurfaceVectorclone () const =0
 Creates a newly allocated clone of this vector. More...
 
size_t size () const
 Returns the number of coordinates in the underlying vector. More...
 
const LargeIntegeroperator[] (size_t index) const
 Returns the given coordinate from the underlying vector. More...
 
virtual void setElement (size_t index, const LargeInteger &value)
 Sets the given normal coordinate to the given value. More...
 
virtual void operator+= (const NormalSurfaceVector &other)
 Adds the given vector to this vector. More...
 
virtual void scaleDown ()
 Scales this vector down by the greatest common divisor of all its elements. More...
 
virtual bool allowsAlmostNormal () const =0
 Determines if the specific underlying coordinate system allows for almost normal surfaces, that is, allows for octagonal discs. More...
 
virtual bool allowsSpun () const =0
 Determines if the specific underlying coordinate system allows for spun-normal surfaces; that is, surfaces with infinitely many triangles. More...
 
virtual bool allowsOriented () const =0
 Determines if the specific underlying coordinate system allows for transversely oriented normal surfaces. More...
 
virtual bool hasMultipleOctDiscs (const Triangulation< 3 > *triang) const
 Determines if this normal surface has more than one octagonal disc. More...
 
virtual bool isCompact (const Triangulation< 3 > *triang) const
 Determines if the normal surface represented is compact (has finitely many discs). More...
 
virtual bool isVertexLinking (const Triangulation< 3 > *triang) const
 Determines if the normal surface represented is vertex linking. More...
 
virtual const Vertex< 3 > * isVertexLink (const Triangulation< 3 > *triang) const
 Determines if a rational multiple of the normal surface represented is the link of a single vertex. More...
 
virtual std::pair< const Edge< 3 > *, const Edge< 3 > * > isThinEdgeLink (const Triangulation< 3 > *triang) const
 Determines if a rational multiple of the normal surface represented is the thin link of a single edge. More...
 
virtual bool isSplitting (const Triangulation< 3 > *triang) const
 Determines if the normal surface represented is a splitting surface in the given triangulation. More...
 
virtual LargeInteger isCentral (const Triangulation< 3 > *triang) const
 Determines if the normal surface represented is a central surface in the given triangulation. More...
 
virtual LargeInteger orientedTriangles (size_t tetIndex, int vertex, const Triangulation< 3 > *triang, bool orientation) const
 Returns the number of oriented triangular discs of the given type in this normal surface. More...
 
virtual LargeInteger orientedQuads (size_t tetIndex, int quadType, const Triangulation< 3 > *triang, bool orientation) const
 Returns the number of oriented quadrilateral discs of the given type in this normal surface. More...
 

Static Public Member Functions

static NormalSurfaceVectormakeZeroVector (const Triangulation< 3 > *triangulation)
 
static MatrixIntmakeMatchingEquations (const Triangulation< 3 > *triangulation)
 
static EnumConstraintsmakeEmbeddedConstraints (const Triangulation< 3 > *triangulation)
 

Protected Attributes

Ray coords_
 The raw vector of normal coordinates. More...
 

Detailed Description

A normal surface vector using standard triangle-quad coordinates.

If there are t tetrahedra in the underlying triangulation, there must be precisely 7t coordinates. The first seven coordinates will be for the first tetrahedron, the next seven for the second tetrahedron and so on. For each tetrahedron, the first four represent the number of triangular discs about vertex 0, 1, 2 and 3, and the next three represent the number of quadrilateral discs of type 0, 1 and 2 (see NormalSurface::quads()).

Python:\n Not present.

The documentation for this class was generated from the following file:

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This software is released under the GNU General Public License, with some additional permissions; see the source code for details.
For further information, or to submit a bug or other problem, please contact Ben Burton (bab@maths.uq.edu.au).