GteIntrPlane3Ellipsoid3.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/GteMatrix3x3.h>
#include <Mathematics/GteDistPoint3Plane3.h>
#include <Mathematics/GteHyperellipsoid.h>
#include <Mathematics/GteTIQuery.h>

namespace gte
{

template <typename Real>
class TIQuery<Real, Plane3<Real>, Ellipsoid3<Real>>
{
public:
    struct Result
    {
        bool intersect;
    };

    Result operator()(Plane3<Real> const& plane,
        Ellipsoid3<Real> const& ellipsoid);
};


template <typename Real>
typename TIQuery<Real, Plane3<Real>, Ellipsoid3<Real>>::Result
TIQuery<Real, Plane3<Real>, Ellipsoid3<Real>>::operator()(
    Plane3<Real> const& plane, Ellipsoid3<Real> const& ellipsoid)
{
    Result result;
    Matrix3x3<Real> MInverse;
    ellipsoid.GetMInverse(MInverse);
    Real discr = Dot(plane.normal, MInverse * plane.normal);
    Real root = sqrt(std::max(discr, (Real)0));
    DCPQuery<Real, Vector3<Real>, Plane3<Real>> vpQuery;
    Real distance = vpQuery(ellipsoid.center, plane).distance;
    result.intersect = (distance <= root);
    return result;
}


}