/usr/include/libwildmagic/Wm5PerspProjEllipsoid.h is in libwildmagic-dev 5.13-1ubuntu3.
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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: 5.0.1 (2010/10/01)
#ifndef WM5PERSPPROJELLIPSOID_H
#define WM5PERSPPROJELLIPSOID_H
#include "Wm5MathematicsLIB.h"
#include "Wm5Ellipse2.h"
#include "Wm5Ellipsoid3.h"
#include "Wm5Plane3.h"
namespace Wm5
{
// Input
// ellipsoid: specified by center, axis directions, and extents
// eye point: E
// view plane: Dot(N,X) = D, planar vectors U and V so that {U,V,N} is an
// orthonormal set of vectors
// The ellipsoid should be between the eye point and the view plane in the
// sense that all rays from the eye point that intersect the ellipsoid must
// also intersect the view plane.
//
// Output
// plane origin: P = E + (D - Dot(N,E))*N
// projected ellipse: The projected ellipse coordinates Y = (y0,y1) are the
// view plane coordinates of the actual 3D ellipse
// points X = P + y0*U + y1*V.
template <typename Real> WM5_MATHEMATICS_ITEM
void PerspectiveProjectEllipsoid (const Ellipsoid3<Real>& ellipsoid,
const Vector3<Real>& eye, const Plane3<Real>& plane,
const Vector3<Real>& U, const Vector3<Real>& V, Vector3<Real>& P,
Ellipse2<Real>& ellipse);
}
#endif
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