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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 "Wm5IntrPlane3Lozenge3.h"
namespace Wm5
{
//----------------------------------------------------------------------------
template <typename Real>
IntrPlane3Lozenge3<Real>::IntrPlane3Lozenge3 (const Plane3<Real>& plane,
const Lozenge3<Real>& lozenge)
:
mPlane(&plane),
mLozenge(&lozenge)
{
}
//----------------------------------------------------------------------------
template <typename Real>
const Plane3<Real>& IntrPlane3Lozenge3<Real>::GetPlane () const
{
return *mPlane;
}
//----------------------------------------------------------------------------
template <typename Real>
const Lozenge3<Real>& IntrPlane3Lozenge3<Real>::GetLozenge () const
{
return *mLozenge;
}
//----------------------------------------------------------------------------
template <typename Real>
bool IntrPlane3Lozenge3<Real>::Test ()
{
Real sDistMM = mPlane->DistanceTo(mLozenge->Rectangle.GetMMCorner());
Real sDistPM = mPlane->DistanceTo(mLozenge->Rectangle.GetPMCorner());
if (sDistMM*sDistPM <= (Real)0)
{
// Two lozenge ends on opposite sides of the plane.
return true;
}
Real sDistMP = mPlane->DistanceTo(mLozenge->Rectangle.GetMPCorner());
if (sDistMM*sDistMP <= (Real)0)
{
// Two lozenge ends on opposite sides of the plane.
return true;
}
Real sDistPP = mPlane->DistanceTo(mLozenge->Rectangle.GetPPCorner());
if (sDistPM*sDistPP <= (Real)0)
{
// Two lozenge ends on opposite sides of the plane.
return true;
}
// The lozenge rectangle corners are all on one side of the plane.
// The spheres centered at the corners, with radius that of the lozenge,
// might intersect the plane.
return Math<Real>::FAbs(sDistMM) <= mLozenge->Radius
|| Math<Real>::FAbs(sDistPM) <= mLozenge->Radius
|| Math<Real>::FAbs(sDistMP) <= mLozenge->Radius
|| Math<Real>::FAbs(sDistPP) <= mLozenge->Radius;
}
//----------------------------------------------------------------------------
template <typename Real>
bool IntrPlane3Lozenge3<Real>::LozengeIsCulled () const
{
Real sDistMM = mPlane->DistanceTo(mLozenge->Rectangle.GetMMCorner());
if (sDistMM < (Real)0)
{
Real sDistPM = mPlane->DistanceTo(
mLozenge->Rectangle.GetPMCorner());
if (sDistPM < (Real)0)
{
Real sDistMP = mPlane->DistanceTo(
mLozenge->Rectangle.GetMPCorner());
if (sDistMP < (Real)0)
{
Real sDistPP = mPlane->DistanceTo(
mLozenge->Rectangle.GetPPCorner());
if (sDistPP < (Real)0)
{
// All four lozenge corners on negative side of plane.
if (sDistMM <= sDistPM)
{
if (sDistMM <= sDistMP)
{
return sDistMM <= -mLozenge->Radius;
}
else
{
return sDistMP <= -mLozenge->Radius;
}
}
else
{
if (sDistPM <= sDistPP)
{
return sDistPM <= -mLozenge->Radius;
}
else
{
return sDistPP <= -mLozenge->Radius;
}
}
}
}
}
}
return false;
}
//----------------------------------------------------------------------------
//----------------------------------------------------------------------------
// Explicit instantiation.
//----------------------------------------------------------------------------
template WM5_MATHEMATICS_ITEM
class IntrPlane3Lozenge3<float>;
template WM5_MATHEMATICS_ITEM
class IntrPlane3Lozenge3<double>;
//----------------------------------------------------------------------------
}
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