/usr/include/libwildmagic/Wm5DistPoint3Ellipsoid3.h is in libwildmagic-dev 5.13-1+b2.
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// Copyright (c) 1998-2014
// 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: 5.0.2 (2011/06/18)
#ifndef WM5DISTPOINT3ELLIPSOID3_H
#define WM5DISTPOINT3ELLIPSOID3_H
#include "Wm5MathematicsLIB.h"
#include "Wm5Distance.h"
#include "Wm5Ellipsoid3.h"
namespace Wm5
{
template <typename Real>
class WM5_MATHEMATICS_ITEM DistPoint3Ellipsoid3
: public Distance<Real,Vector3<Real> >
{
public:
DistPoint3Ellipsoid3 (const Vector3<Real>& point,
const Ellipsoid3<Real>& ellipsoid);
// Object access.
const Vector3<Real>& GetPoint () const;
const Ellipsoid3<Real>& GetEllipsoid () const;
// Static distance queries.
virtual Real Get ();
virtual Real GetSquared ();
// Function calculations for dynamic distance queries.
virtual Real Get (Real t, const Vector3<Real>& velocity0,
const Vector3<Real>& velocity1);
virtual Real GetSquared (Real t, const Vector3<Real>& velocity0,
const Vector3<Real>& velocity1);
private:
using Distance<Real,Vector3<Real> >::mClosestPoint0;
using Distance<Real,Vector3<Real> >::mClosestPoint1;
// The ellipsoid is (x0/e0)^2 + (x1/e1)^2 + (x2/e2)^2 = 1 with
// e0 >= e1 >= e2. The query point is (y0,y1,y2) with y0 >= 0, y1 >= 0,
// and y2 >= 0. The function returns the squared distance from the query
// point to the ellipsoid. It also computes the ellipsoid point
// (x0,x1,x2) in the first octant that is closest to (y0,y1,y2).
Real SqrDistanceSpecial (const Real e[3], const Real y[3], Real x[3]);
// The ellipsoid is (x0/e0)^2 + (x1/e1)^2 + (x2/e2)^2 = 1. The query
// point is (y0,y1,y2). The function returns the squared distance from
// the query point to the ellipsoid. It also computes the ellipsoid
// point (x0,x1,x2) that is closest to (y0,y1,y2).
Real SqrDistance (const Real e[3], const Real y[3], Real x[3]);
// The bisection algorithm to find the unique root of F(t).
Real Bisector (int numComponents, const Real* e, const Real* y,
Real* x);
const Vector3<Real>* mPoint;
const Ellipsoid3<Real>* mEllipsoid;
};
typedef DistPoint3Ellipsoid3<float> DistPoint3Ellipsoid3f;
typedef DistPoint3Ellipsoid3<double> DistPoint3Ellipsoid3d;
}
#endif
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