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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/nsvectororientedquad.h
* \brief Implements normal surface vectors using
* transversely oriented quad coordinates.
*/
#ifndef __REGINA_NSVECTORORIENTEDQUAD_H
#ifndef __DOXYGEN
#define __REGINA_NSVECTORORIENTEDQUAD_H
#endif
#include "regina-core.h"
#include "enumerate/enumconstraints.h"
#include "surfaces/nsvectormirrored.h"
namespace regina {
class NSVectorOrientedQuad;
/**
* \weakgroup surfaces
* @{
*/
#ifndef __DOXYGEN // Doxygen complains about undocumented specialisations.
template <>
struct NormalInfo<NS_ORIENTED_QUAD> {
typedef NSVectorOrientedQuad Class;
typedef NormalInfo<NS_ORIENTED> Standard;
typedef NormalInfo<NS_ORIENTED_QUAD> Reduced;
static constexpr const char* name = "Transversely oriented quad normal";
static constexpr bool almostNormal = false;
static constexpr bool spun = true;
static constexpr bool oriented = true;
static constexpr size_t dimension(size_t n) { return 6 * n; }
};
#endif
/**
* A normal surface vector using transversely oriented quadrilateral
* coordinates.
*
* If there are \a t tetrahedra in the underlying
* triangulation, there must be precisely 6<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
* 3<i>t</i>-dimensional quadrilateral coordinate system. See
* NSVectorQuad 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 NSVectorOrientedQuad : public NSVectorMirrored {
REGINA_NORMAL_SURFACE_FLAVOUR(NSVectorOrientedQuad, NS_ORIENTED_QUAD,
NSVectorMirrored);
public:
/**
* Creates a new vector all of whose entries are initialised to
* zero.
*
* @param length the number of elements in the new vector.
*/
NSVectorOrientedQuad(size_t length);
/**
* Creates a new vector that is a clone of the given vector.
*
* @param cloneMe the vector to clone.
*/
template <typename T>
NSVectorOrientedQuad(const Vector<T>& cloneMe);
virtual NormalSurfaceVector* makeMirror(const Triangulation<3>& triang)
const override;
virtual const Vertex<3>* isVertexLink(const Triangulation<3>& triang)
const override;
virtual LargeInteger quads(size_t tetIndex,
int quadType, const Triangulation<3>& triang) 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;
static std::optional<MatrixInt> makeMatchingEquations(
const Triangulation<3>& triangulation);
static EnumConstraints makeEmbeddedConstraints(
const Triangulation<3>& triangulation);
};
/*@}*/
// Inline functions for NSVectorOrientedQuad
inline NSVectorOrientedQuad::NSVectorOrientedQuad(
size_t length) : NSVectorMirrored(length) {
}
template <typename T>
inline NSVectorOrientedQuad::NSVectorOrientedQuad(const Vector<T>& cloneMe) :
NSVectorMirrored(cloneMe) {
}
inline LargeInteger NSVectorOrientedQuad::quads(
size_t tetIndex, int quadType, const Triangulation<3>& tri) const {
return orientedQuads(tetIndex, quadType, tri, true)
+ orientedQuads(tetIndex, quadType, tri, false);
}
inline LargeInteger NSVectorOrientedQuad::orientedQuads(
size_t tetIndex, int quadType, const Triangulation<3>&,
bool orientation) const {
return coords_[6 * tetIndex + 2 * quadType +
(orientation ? 0 : 1)];
}
inline const Vertex<3>* NSVectorOrientedQuad::isVertexLink(
const Triangulation<3>&) const {
// Quad space does not contain vertex links at all.
return 0;
}
inline LargeInteger NSVectorOrientedQuad::octs(
size_t, int, const Triangulation<3>&) const {
return LargeInteger::zero;
}
} // namespace regina
#endif
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