Regina Calculation Engine
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A normal hypersurface vector using standard tetrahedron-prism coordinates.
More...
#include <hypersurface/hsvectorstandard.h>
Public Member Functions | |
HSVectorStandard (size_t length) | |
Creates a new vector all of whose entries are initialised to zero. More... | |
HSVectorStandard (const Vector< LargeInteger > &cloneMe) | |
Creates a new vector that is a clone of the given vector. More... | |
virtual LargeInteger | tetrahedra (size_t pentIndex, int vertex, const Triangulation< 4 > *triang) const override |
Returns the number of tetrahedron pieces of the given type in this normal hypersurface. More... | |
virtual LargeInteger | prisms (size_t pentIndex, int prismType, const Triangulation< 4 > *triang) const override |
Returns the number of prism pieces of the given type in this normal hypersurface. More... | |
virtual LargeInteger | edgeWeight (size_t edgeIndex, const Triangulation< 4 > *triang) const override |
Returns the number of times this normal hypersurface crosses the given edge. More... | |
const Ray & | coords () const |
Gives read-only access to the underlying vector of coordinates. More... | |
virtual NormalHypersurfaceVector * | clone () 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 LargeInteger & | operator[] (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 NormalHypersurfaceVector &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 | isCompact (const Triangulation< 4 > *triang) const |
Determines if the normal hypersurface represented is compact (has finitely many pieces). More... | |
virtual bool | isVertexLinking (const Triangulation< 4 > *triang) const |
Determines if the normal hypersurface represented is vertex linking. More... | |
virtual const Vertex< 4 > * | isVertexLink (const Triangulation< 4 > *triang) const |
Determines if a rational multiple of the normal hypersurface represented is the link of a single vertex. More... | |
virtual const Edge< 4 > * | isThinEdgeLink (const Triangulation< 4 > *triang) const |
Determines if a rational multiple of the normal hypersurface represented is the thin link of a single edge. More... | |
Static Public Member Functions | |
static NormalHypersurfaceVector * | makeZeroVector (const Triangulation< 4 > *triangulation) |
static MatrixInt * | makeMatchingEquations (const Triangulation< 4 > *triangulation) |
static EnumConstraints * | makeEmbeddedConstraints (const Triangulation< 4 > *triangulation) |
Protected Attributes | |
Ray | coords_ |
The raw vector of normal coordinates. More... | |
A normal hypersurface vector using standard tetrahedron-prism coordinates.
If there are p pentachora in the underlying triangulation, there must be precisely 15p coordinates. The first 15 coordinates will be for the first pentachoron, the next 15 for the second pentachoron and so on. For each pentachoron, the first five represent the number of tetrahedron pieces about vertex 0,...,4, and the next ten represent the number of prism pieces of type 0,...,9 (see NormalHypersurface::prisms() for details).
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inline |
Creates a new vector all of whose entries are initialised to zero.
length | the number of elements in the new vector. |
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inline |
Creates a new vector that is a clone of the given vector.
cloneMe | the vector to clone. |
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pure virtualinherited |
Creates a newly allocated clone of this vector.
The clone will be of the same subclass of NormalHypersurfaceVector as this vector.
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inlineinherited |
Gives read-only access to the underlying vector of coordinates.
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overridevirtual |
Returns the number of times this normal hypersurface crosses the given edge.
See NormalHypersurface::edgeWeight() for further details.
edgeIndex | the index in the triangulation of the edge in which we are interested; this should be between 0 and Triangulation<4>::countEdges()-1 inclusive. |
triang | the triangulation in which this normal hypersurface lives. |
Implements regina::NormalHypersurfaceVector.
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virtualinherited |
Determines if the normal hypersurface represented is compact (has finitely many pieces).
The default implementation for this routine simply runs through every piece type until a piece type with infinite piece count is found or all piece types have been examined. Subclasses of NormalHypersurfaceVector should override this if they can provide a faster implementation.
triang | the triangulation in which this normal hypersurface lives. |
true
if and only if the normal hypersurface represented is compact.
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virtualinherited |
Determines if a rational multiple of the normal hypersurface represented is the thin link of a single edge.
The default implementation for this routine involves counting the number of pieces of every type. Subclasses of NormalHypersurfaceVector should override this if they can provide a faster implementation.
triang | the triangulation in which this normal hypersurface lives. |
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virtualinherited |
Determines if a rational multiple of the normal hypersurface represented is the link of a single vertex.
The default implementation for this routine involves counting the number of pieces of every type. Subclasses of NormalSurfaceVector should override this if they can provide a faster implementation.
triang | the triangulation in which this normal hypersurface lives. |
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virtualinherited |
Determines if the normal hypersurface represented is vertex linking.
A vertex linking hypersurface contains only tetrahedra.
The default implementation for this routine simply runs through every non-tetrahedron piece type ensuring that each has no corresponding pieces. Subclasses of NormalHypersurfaceVector should override this if they can provide a faster implementation.
triang | the triangulation in which this normal hypersurface lives. |
true
if and only if the normal hypersurface represented is vertex linking.
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inlinevirtualinherited |
Adds the given vector to this vector.
This behaves correctly in the case where other is this
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The default implementation simply adds the coordinates of the underlying vectors. Subclasses should reimplement this if they carry any additional information that also need adjusting.
other | the vector to add to this vector. |
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inlineinherited |
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inlineoverridevirtual |
Returns the number of prism pieces of the given type in this normal hypersurface.
See NormalHypersurface::prisms() for further details.
pentIndex | the index in the triangulation of the pentachoron in which the requested prism pieces reside; this should be between 0 and Triangulation<4>::size()-1 inclusive. |
prismType | specifies the edge of the given pentachoron that this prism separates from the opposite triangle; this should be between 0 and 9 inclusive. |
triang | the triangulation in which this normal hypersurface lives. |
Implements regina::NormalHypersurfaceVector.
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inlinevirtualinherited |
Scales this vector down by the greatest common divisor of all its elements.
The resulting vector will be the smallest multiple of the original that maintains integral entries, and these entries will have the same signs as the originals.
This routine poses no problem for vectors containing infinite elements; such elements are simply ignored and left at infinity.
The default implementation simply scales down the underlying vector. Subclasses should reimplement this if they carry any additional information that also needs adjusting.
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inlinevirtualinherited |
Sets the given normal coordinate to the given value.
The default implementation simply sets the coordinate in the underlying vector. Subclasses should reimplement this if they carry any additional information that also need adjusting.
index | the index of the coordinate to set; this must e between 0 and size()-1 inclusive. |
value | the new value to assign to the given coordinate. |
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inlineinherited |
Returns the number of coordinates in the underlying vector.
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inlineoverridevirtual |
Returns the number of tetrahedron pieces of the given type in this normal hypersurface.
See NormalHypersurface::tetrahedra() for further details.
pentIndex | the index in the triangulation of the pentachoron in which the requested tetrahedron pieces reside; this should be between 0 and Triangulation<4>::size()-1 inclusive. |
vertex | the vertex of the given pentachoron around which the requested tetrahedron pieces lie; this should be between 0 and 4 inclusive. |
triang | the triangulation in which this normal hypersurface lives. |
Implements regina::NormalHypersurfaceVector.
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protectedinherited |
The raw vector of normal coordinates.