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// Geometric Tools, LLC
// 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)
#include "Wm5MathematicsPCH.h"
#include "Wm5IntrPlane3Sphere3.h"
namespace Wm5
{
//----------------------------------------------------------------------------
template <typename Real>
IntrPlane3Sphere3<Real>::IntrPlane3Sphere3 (const Plane3<Real>& plane,
const Sphere3<Real>& sphere)
:
mPlane(&plane),
mSphere(&sphere)
{
}
//----------------------------------------------------------------------------
template <typename Real>
const Plane3<Real>& IntrPlane3Sphere3<Real>::GetPlane () const
{
return *mPlane;
}
//----------------------------------------------------------------------------
template <typename Real>
const Sphere3<Real>& IntrPlane3Sphere3<Real>::GetSphere () const
{
return *mSphere;
}
//----------------------------------------------------------------------------
template <typename Real>
bool IntrPlane3Sphere3<Real>::Test ()
{
Real signedDistance = mPlane->DistanceTo(mSphere->Center);
return Math<Real>::FAbs(signedDistance) <= mSphere->Radius;
}
//----------------------------------------------------------------------------
template <typename Real>
bool IntrPlane3Sphere3<Real>::Find ()
{
Real signedDistance = mPlane->DistanceTo(mSphere->Center);
Real distance = Math<Real>::FAbs(signedDistance);
mCircle.Center = mSphere->Center - signedDistance*mPlane->Normal;
mCircle.Normal = mPlane->Normal;
if (distance <= mSphere->Radius)
{
// The sphere intersects the plane in a circle. The circle is
// degenerate when distance is equal to mSphere->Radius, in which
// case the circle radius is zero.
mCircle.Radius = Math<Real>::Sqrt(Math<Real>::FAbs(
mSphere->Radius*mSphere->Radius - distance*distance));
return true;
}
// Additional indication that the circle is invalid.
mCircle.Radius = (Real)-1;
return false;
}
//----------------------------------------------------------------------------
template <typename Real>
bool IntrPlane3Sphere3<Real>::SphereIsCulled () const
{
Real signedDistance = mPlane->DistanceTo(mSphere->Center);
return signedDistance <= -mSphere->Radius;
}
//----------------------------------------------------------------------------
template <typename Real>
const Circle3<Real>& IntrPlane3Sphere3<Real>::GetCircle () const
{
return mCircle;
}
//----------------------------------------------------------------------------
//----------------------------------------------------------------------------
// Explicit instantiation.
//----------------------------------------------------------------------------
template WM5_MATHEMATICS_ITEM
class IntrPlane3Sphere3<float>;
template WM5_MATHEMATICS_ITEM
class IntrPlane3Sphere3<double>;
//----------------------------------------------------------------------------
}
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