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/**************************************************************************
* *
* Regina - A Normal Surface Theory Calculator *
* Computational Engine *
* *
* Copyright (c) 1999-2025, Ben Burton *
* For further details contact Ben Burton (bab@debian.org). *
* *
* This program is free software; you can redistribute it and/or *
* modify it under the terms of the GNU General Public License as *
* published by the Free Software Foundation; either version 2 of the *
* License, or (at your option) any later version. *
* *
* As an exception, when this program is distributed through (i) the *
* App Store by Apple Inc.; (ii) the Mac App Store by Apple Inc.; or *
* (iii) Google Play by Google Inc., then that store may impose any *
* digital rights management, device limits and/or redistribution *
* restrictions that are required by its terms of service. *
* *
* This program is distributed in the hope that it will be useful, but *
* WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU *
* General Public License for more details. *
* *
* You should have received a copy of the GNU General Public License *
* along with this program. If not, see <https://www.gnu.org/licenses/>. *
* *
**************************************************************************/
/*! \file surfaces/nsvectororiented.h
* \brief Implements normal surface vectors using transversly oriented
* normal surface coordinates.*/
#ifndef __REGINA_NSVECTORORIENTED_H
#ifndef __DOXYGEN
#define __REGINA_NSVECTORORIENTED_H
#endif
#include "regina-core.h"
#include "enumerate/enumconstraints.h"
#include "surfaces/normalsurface.h"
namespace regina {
class NSVectorOriented;
/**
* \weakgroup surfaces
* @{
*/
#ifndef __DOXYGEN // Doxygen complains about undocumented specialisations.
template <>
struct NormalInfo<NS_ORIENTED> {
typedef NSVectorOriented Class;
typedef NormalInfo<NS_ORIENTED> Standard;
typedef NormalInfo<NS_ORIENTED_QUAD> Reduced;
static constexpr const char* name = "Transversely oriented standard normal";
static constexpr bool almostNormal = false;
static constexpr bool spun = false;
static constexpr bool oriented = true;
static constexpr size_t dimension(size_t n) { return 14 * n; }
};
#endif
/**
* A normal surface vector using transversely oriented standard
* (triangle-quad) coordinates.
*
* If there are \a t tetrahedra in the underlying
* triangulation, there must be precisely 14<i>t</i> coordinates.
* For each \a i, coordinates 2<i>i</i> and 2<i>i</i>+1 represent
* the \c true and \c false orientations for coordinate \a i in the
* 7<i>t</i>-dimensional standard coordinate system. See
* NSVectorStandard for further details.
*
* \warning Support for transversely oriented normal surfaces is still
* experimental, and some features \b will break (e.g., testing
* connectedness, disjointness or embeddedness).
*
* \ifacespython Not present.
*/
class NSVectorOriented : public NormalSurfaceVector {
REGINA_NORMAL_SURFACE_FLAVOUR(NSVectorOriented, NS_ORIENTED,
NormalSurfaceVector);
public:
/**
* Creates a new vector all of whose entries are initialised to
* zero.
*
* @param length the number of elements in the new vector.
*/
NSVectorOriented(size_t length);
/**
* Creates a new vector that is a clone of the given vector.
*
* @param cloneMe the vector to clone.
*/
template <typename T>
NSVectorOriented(const Vector<T>& cloneMe);
virtual LargeInteger triangles(size_t tetIndex,
int vertex, const Triangulation<3>& triang) const override;
virtual LargeInteger quads(size_t tetIndex,
int quadType, const Triangulation<3>& triang) const override;
virtual LargeInteger orientedTriangles(size_t tetIndex,
int vertex, const Triangulation<3>& triang, bool orientation) const
override;
virtual LargeInteger orientedQuads(size_t tetIndex,
int quadType, const Triangulation<3>& triang, bool orientation)
const override;
virtual LargeInteger octs(size_t tetIndex,
int octType, const Triangulation<3>& triang) const override;
virtual LargeInteger edgeWeight(size_t edgeIndex,
const Triangulation<3>& triang) const override;
virtual LargeInteger arcs(size_t triIndex,
int triVertex, const Triangulation<3>& triang) const override;
static std::optional<MatrixInt> makeMatchingEquations(
const Triangulation<3>& triangulation);
static EnumConstraints makeEmbeddedConstraints(
const Triangulation<3>& triangulation);
};
/*@}*/
// Inline functions for NSVectorOriented
inline NSVectorOriented::NSVectorOriented(
size_t length) : NormalSurfaceVector(length) {
}
template <typename T>
inline NSVectorOriented::NSVectorOriented(const Vector<T>& cloneMe) :
NormalSurfaceVector(cloneMe) {
}
inline LargeInteger NSVectorOriented::triangles(
size_t tetIndex, int vertex, const Triangulation<3>& tri) const {
return orientedTriangles(tetIndex,vertex,tri, true)
+ orientedTriangles(tetIndex,vertex,tri, false);
}
inline LargeInteger NSVectorOriented::quads(
size_t tetIndex, int quadType, const Triangulation<3>& tri) const {
return orientedQuads(tetIndex,quadType,tri, true)
+ orientedQuads(tetIndex,quadType,tri, false);
}
inline LargeInteger NSVectorOriented::orientedTriangles(
size_t tetIndex, int vertex, const Triangulation<3>&,
bool orientation) const {
return coords_[14 * tetIndex + 2 * vertex +
(orientation ? 0 : 1)];
}
inline LargeInteger NSVectorOriented::orientedQuads(
size_t tetIndex, int quadType, const Triangulation<3>&,
bool orientation) const {
return coords_[14 * tetIndex + 8 + 2 * quadType +
(orientation ? 0 : 1)];
}
inline LargeInteger NSVectorOriented::octs(
size_t, int, const Triangulation<3>&) const {
return LargeInteger::zero;
}
} // namespace regina
#endif
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