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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 "Wm5IntrPlane3Triangle3.h"
namespace Wm5
{
//----------------------------------------------------------------------------
template <typename Real>
IntrPlane3Triangle3<Real>::IntrPlane3Triangle3 (const Plane3<Real>& plane,
const Triangle3<Real>& triangle, Real epsilon)
:
mPlane(&plane),
mTriangle(&triangle)
{
mEpsilon = (epsilon >= (Real)0 ? epsilon : (Real)0);
}
//----------------------------------------------------------------------------
template <typename Real>
const Plane3<Real>& IntrPlane3Triangle3<Real>::GetPlane () const
{
return *mPlane;
}
//----------------------------------------------------------------------------
template <typename Real>
const Triangle3<Real>& IntrPlane3Triangle3<Real>::GetTriangle () const
{
return *mTriangle;
}
//----------------------------------------------------------------------------
template <typename Real>
bool IntrPlane3Triangle3<Real>::Test ()
{
// Compute the signed distances from the vertices to the plane.
Real zero = (Real)0;
Real SD[3];
for (int i = 0; i < 3; ++i)
{
SD[i] = mPlane->DistanceTo(mTriangle->V[i]);
if (Math<Real>::FAbs(SD[i]) <= mEpsilon)
{
SD[i] = zero;
}
};
// The triangle intersects the plane if not all vertices are on the
// positive side of the plane and not all vertices are on the negative
// side of the plane.
return !(SD[0] > zero && SD[1] > zero && SD[2] > zero)
&& !(SD[0] < zero && SD[1] < zero && SD[2] < zero);
}
//----------------------------------------------------------------------------
template <typename Real>
bool IntrPlane3Triangle3<Real>::Find ()
{
// Compute the signed distances from the vertices to the plane.
Real zero = (Real)0;
Real SD[3];
for (int i = 0; i < 3; ++i)
{
SD[i] = mPlane->DistanceTo(mTriangle->V[i]);
if (Math<Real>::FAbs(SD[i]) <= mEpsilon)
{
SD[i] = zero;
}
};
const Vector3<Real>& V0 = mTriangle->V[0];
const Vector3<Real>& V1 = mTriangle->V[1];
const Vector3<Real>& V2 = mTriangle->V[2];
if (SD[0] > zero)
{
if (SD[1] > zero)
{
if (SD[2] > zero)
{
// ppp
mQuantity = 0;
mIntersectionType = IT_EMPTY;
}
else if (SD[2] < zero)
{
// ppm
mQuantity = 2;
mPoint[0] = V0 + (SD[0]/(SD[0] - SD[2]))*(V2 - V0);
mPoint[1] = V1 + (SD[1]/(SD[1] - SD[2]))*(V2 - V1);
mIntersectionType = IT_SEGMENT;
}
else
{
// ppz
mQuantity = 1;
mPoint[0] = V2;
mIntersectionType = IT_POINT;
}
}
else if (SD[1] < zero)
{
if (SD[2] > zero)
{
// pmp
mQuantity = 2;
mPoint[0] = V0 + (SD[0]/(SD[0] - SD[1]))*(V1 - V0);
mPoint[1] = V1 + (SD[1]/(SD[1] - SD[2]))*(V2 - V1);
mIntersectionType = IT_SEGMENT;
}
else if (SD[2] < zero)
{
// pmm
mQuantity = 2;
mPoint[0] = V0 + (SD[0]/(SD[0] - SD[1]))*(V1 - V0);
mPoint[1] = V0 + (SD[0]/(SD[0] - SD[2]))*(V2 - V0);
mIntersectionType = IT_SEGMENT;
}
else
{
// pmz
mQuantity = 2;
mPoint[0] = V0 + (SD[0]/(SD[0] - SD[1]))*(V1 - V0);
mPoint[1] = V2;
mIntersectionType = IT_SEGMENT;
}
}
else
{
if (SD[2] > zero)
{
// pzp
mQuantity = 1;
mPoint[0] = V1;
mIntersectionType = IT_POINT;
}
else if (SD[2] < zero)
{
// pzm
mQuantity = 2;
mPoint[0] = V0 + (SD[0]/(SD[0] - SD[2]))*(V2 - V0);
mPoint[1] = V1;
mIntersectionType = IT_SEGMENT;
}
else
{
// pzz
mQuantity = 2;
mPoint[0] = V1;
mPoint[1] = V2;
mIntersectionType = IT_SEGMENT;
}
}
}
else if (SD[0] < zero)
{
if (SD[1] > zero)
{
if (SD[2] > zero)
{
// mpp
mQuantity = 2;
mPoint[0] = V0 + (SD[0]/(SD[0] - SD[1]))*(V1 - V0);
mPoint[1] = V0 + (SD[0]/(SD[0] - SD[2]))*(V2 - V0);
mIntersectionType = IT_SEGMENT;
}
else if (SD[2] < zero)
{
// mpm
mQuantity = 2;
mPoint[0] = V0 +(SD[0]/(SD[0] - SD[1]))*(V1 - V0);
mPoint[1] = V1 +(SD[1]/(SD[1] - SD[2]))*(V2 - V1);
mIntersectionType = IT_SEGMENT;
}
else
{
// mpz
mQuantity = 2;
mPoint[0] = V0 + (SD[0]/(SD[0] - SD[1]))*(V1 - V0);
mPoint[1] = V2;
mIntersectionType = IT_SEGMENT;
}
}
else if (SD[1] < zero)
{
if (SD[2] > zero)
{
// mmp
mQuantity = 2;
mPoint[0] = V0 + (SD[0]/(SD[0] - SD[2]))*(V2 - V0);
mPoint[1] = V1 + (SD[1]/(SD[1] - SD[2]))*(V2 - V1);
mIntersectionType = IT_SEGMENT;
}
else if (SD[2] < zero)
{
// mmm
mQuantity = 0;
mIntersectionType = IT_EMPTY;
}
else
{
// mmz
mQuantity = 1;
mPoint[0] = mTriangle->V[2];
mIntersectionType = IT_POINT;
}
}
else
{
if (SD[2] > zero)
{
// mzp
mQuantity = 2;
mPoint[0] = V0 + (SD[0]/(SD[0] - SD[2]))*(V2 - V0);
mPoint[1] = V1;
mIntersectionType = IT_SEGMENT;
}
else if (SD[2] < zero)
{
// mzm
mQuantity = 1;
mPoint[0] = V1;
mIntersectionType = IT_POINT;
}
else
{
// mzz
mQuantity = 2;
mPoint[0] = V1;
mPoint[1] = V2;
mIntersectionType = IT_SEGMENT;
}
}
}
else
{
if (SD[1] > zero)
{
if (SD[2] > zero)
{
// zpp
mQuantity = 1;
mPoint[0] = V0;
mIntersectionType = IT_POINT;
}
else if (SD[2] < zero)
{
// zpm
mQuantity = 2;
mPoint[0] = V1 + (SD[1]/(SD[1] - SD[2]))*(V2 - V1);
mPoint[1] = V0;
mIntersectionType = IT_SEGMENT;
}
else
{
// zpz
mQuantity = 2;
mPoint[0] = V0;
mPoint[1] = V2;
mIntersectionType = IT_SEGMENT;
}
}
else if (SD[1] < zero)
{
if (SD[2] > zero)
{
// zmp
mQuantity = 2;
mPoint[0] = V1 + (SD[1]/(SD[1] - SD[2]))*(V2 - V1);
mPoint[1] = V0;
mIntersectionType = IT_SEGMENT;
}
else if (SD[2] < zero)
{
// zmm
mQuantity = 1;
mPoint[0] = V0;
mIntersectionType = IT_POINT;
}
else
{
// zmz
mQuantity = 2;
mPoint[0] = V0;
mPoint[1] = V2;
mIntersectionType = IT_SEGMENT;
}
}
else
{
if (SD[2] > zero)
{
// zzp
mQuantity = 2;
mPoint[0] = V0;
mPoint[1] = V1;
mIntersectionType = IT_SEGMENT;
}
else if (SD[2] < zero)
{
// zzm
mQuantity = 2;
mPoint[0] = V0;
mPoint[1] = V1;
mIntersectionType = IT_SEGMENT;
}
else
{
// zzz
mQuantity = 3;
mPoint[0] = V0;
mPoint[1] = V1;
mPoint[2] = V2;
mIntersectionType = IT_POLYGON;
}
}
}
return mIntersectionType != IT_EMPTY;
}
//----------------------------------------------------------------------------
template <typename Real>
int IntrPlane3Triangle3<Real>::GetQuantity () const
{
return mQuantity;
}
//----------------------------------------------------------------------------
template <typename Real>
const Vector3<Real>& IntrPlane3Triangle3<Real>::GetPoint (int i) const
{
return mPoint[i];
}
//----------------------------------------------------------------------------
//----------------------------------------------------------------------------
// Explicit instantiation.
//----------------------------------------------------------------------------
template WM5_MATHEMATICS_ITEM
class IntrPlane3Triangle3<float>;
template WM5_MATHEMATICS_ITEM
class IntrPlane3Triangle3<double>;
//----------------------------------------------------------------------------
}
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