File: Wm5IntrHalfspace3Triangle3.cpp

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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 "Wm5IntrHalfspace3Triangle3.h"
#include "Wm5IntrUtility3.h"

namespace Wm5
{
//----------------------------------------------------------------------------
template <typename Real>
IntrHalfspace3Triangle3<Real>::IntrHalfspace3Triangle3 (
    const Plane3<Real>& halfspace, const Triangle3<Real>& triangle)
    :
    mHalfspace(&halfspace),
    mTriangle(&triangle)
{
    mQuantity = 0;
}
//----------------------------------------------------------------------------
template <typename Real>
const Plane3<Real>& IntrHalfspace3Triangle3<Real>::GetHalfspace () const
{
    return *mHalfspace;
}
//----------------------------------------------------------------------------
template <typename Real>
const Triangle3<Real>& IntrHalfspace3Triangle3<Real>::GetTriangle () const
{
    return *mTriangle;
}
//----------------------------------------------------------------------------
template <typename Real>
bool IntrHalfspace3Triangle3<Real>::Test ()
{
    Real fmin, fmax;
    IntrAxis<Real>::GetProjection(mHalfspace->Normal, *mTriangle,
        fmin, fmax);

    return fmin <= mHalfspace->Constant;
}
//----------------------------------------------------------------------------
template <typename Real>
bool IntrHalfspace3Triangle3<Real>::Find ()
{
    // Start with the triangle and then clip it against the plane.
    mQuantity = 3;
    for (int i = 0; i < 3; ++i)
    {
        mPoint[i] = mTriangle->V[i];
    }

    ClipConvexPolygonAgainstPlane<Real>(-mHalfspace->Normal,
        -mHalfspace->Constant, mQuantity, mPoint);
    
    return mQuantity > 0;
}
//----------------------------------------------------------------------------
template <typename Real>
bool IntrHalfspace3Triangle3<Real>::Test (Real tmax,
    const Vector3<Real>& velocity0, const Vector3<Real>& velocity1)
{
    mContactTime = (Real)0;
    Real tlast = Math<Real>::MAX_REAL;
    Vector3<Real> relVelocity = velocity1 - velocity0;

    Real fmin, fmax;
    IntrAxis<Real>::GetProjection(mHalfspace->Normal, *mTriangle,
        fmin, fmax);

    return IntrAxis<Real>::Test(mHalfspace->Normal, relVelocity,
        -Math<Real>::MAX_REAL, mHalfspace->Constant, fmin, fmax, tmax,
        mContactTime, tlast);
}
//----------------------------------------------------------------------------
template <typename Real>
bool IntrHalfspace3Triangle3<Real>::Find (Real tmax,
    const Vector3<Real>& velocity0, const Vector3<Real>& velocity1)
{
    mContactTime = (Real)0;
    Real tlast = Math<Real>::MAX_REAL;
    Vector3<Real> relVelocity = velocity1 - velocity0;

    IntrConfiguration<Real> cfg;
    IntrAxis<Real>::GetConfiguration(mHalfspace->Normal, *mTriangle, cfg);

    if (!IntrAxis<Real>::Test(mHalfspace->Normal, relVelocity,
        -Math<Real>::MAX_REAL, mHalfspace->Constant, cfg.mMin, cfg.mMax,
        tmax, mContactTime, tlast))
    {
        // Never intersecting.
        return false;
    }

    if (mContactTime == (Real)0)
    {
        // Intersecting now.
        return false;
    }

    // Tri on positive side (right).
    if (cfg.mMap == IntrConfiguration<Real>::m12
    ||  cfg.mMap == IntrConfiguration<Real>::m111)
    {
        // Point intersection.
        mQuantity = 1;
        mPoint[0] = mTriangle->V[cfg.mIndex[0]];
    }
    else if (cfg.mMap == IntrConfiguration<Real>::m21)
    {
        // Segment intersection.
        mQuantity = 2;
        mPoint[0] = mTriangle->V[cfg.mIndex[0]];
        mPoint[1] = mTriangle->V[cfg.mIndex[1]];
    }
    else
    {
        // Face intersection.
        mQuantity = 3;
        for (int i = 0; i < 3; ++i)
        {
            mPoint[i] = mTriangle->V[i];
        }
    } 

    // Adjust points to the correct place in time, as well.
    Vector3<Real> diff = mContactTime*velocity1;
    for (int i = 0; i < mQuantity; ++i)
    {
        mPoint[i] += diff;
    }

    return true;
}
//----------------------------------------------------------------------------
template <typename Real>
int IntrHalfspace3Triangle3<Real>::GetQuantity () const
{
    return mQuantity;
}
//----------------------------------------------------------------------------
template <typename Real>
const Vector3<Real>& IntrHalfspace3Triangle3<Real>::GetPoint (int i) const
{
    return mPoint[i];
}
//----------------------------------------------------------------------------

//----------------------------------------------------------------------------
// Explicit instantiation.
//----------------------------------------------------------------------------
template WM5_MATHEMATICS_ITEM
class IntrHalfspace3Triangle3<float>;

template WM5_MATHEMATICS_ITEM
class IntrHalfspace3Triangle3<double>;
//----------------------------------------------------------------------------
}