GteTriangleKey.h

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// David Eberly, Geometric Tools, Redmond WA 98052
// Copyright (c) 1998-2017
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
// File Version: 3.0.0 (2016/06/19)

#pragma once

#include <Mathematics/GteFeatureKey.h>

namespace gte
{

template <bool Ordered>
class TriangleKey : public FeatureKey<3, Ordered>
{
public:
    // An ordered triangle has V[0] = min(v0,v1,v2).  Choose (V[0],V[1],V[2])
    // to be a permutation of (v0,v1,v2) so that the final storage is one of
    //   (v0,v1,v2), (v1,v2,v0), (v2,v0,v1)
    // The idea is that if v0 corresponds to (1,0,0), v1 corresponds to
    // (0,1,0), and v2 corresponds to (0,0,1), the ordering (v0,v1,v2)
    // corresponds to the 3x3 identity matrix I; the rows are the specified
    // 3-tuples.  The permutation (V[0],V[1],V[2]) induces a permutation of
    // the rows of the identity matrix to form a permutation matrix P with
    // det(P) = 1 = det(I).
    //
    // An unordered triangle stores a permutation of (v0,v1,v2) so that
    // V[0] < V[1] < V[2].
    TriangleKey(int v0 = -1, int v1 = -1, int v2 = -1);
};

}