Wm4Plane3.h

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// Wild Magic Source Code
// David Eberly
// http://www.geometrictools.com
// Copyright (c) 1998-2007
//
// This library is free software; you can redistribute it and/or modify it
// under the terms of the GNU Lesser General Public License as published by
// the Free Software Foundation; either version 2.1 of the License, or (at
// your option) any later version.  The license is available for reading at
// either of the locations:
//     http://www.gnu.org/copyleft/lgpl.html
//     http://www.geometrictools.com/License/WildMagicLicense.pdf
// The license applies to versions 0 through 4 of Wild Magic.
//
// Version: 4.0.0 (2006/06/28)

#ifndef WM4PLANE3_H
#define WM4PLANE3_H

#include "Wm4FoundationLIB.h"
#include "Wm4Vector3.h"

namespace Wm4
{

template <class Real>
class Plane3
{
public:
    // The plane is represented as Dot(N,X) = c where N is a unit-length
    // normal vector, c is the plane constant, and X is any point on the
    // plane.  The user must ensure that the normal vector satisfies this
    // condition.

    Plane3 ();  // uninitialized
    Plane3 (const Plane3& rkPlane);

    // specify N and c directly
    Plane3 (const Vector3<Real>& rkNormal, Real fConstant);

    // N is specified, c = Dot(N,P) where P is on the plane
    Plane3 (const Vector3<Real>& rkNormal, const Vector3<Real>& rkP);

    // N = Cross(P1-P0,P2-P0)/Length(Cross(P1-P0,P2-P0)), c = Dot(N,P0) where
    // P0, P1, P2 are points on the plane.
    Plane3 (const Vector3<Real>& rkP0, const Vector3<Real>& rkP1,
        const Vector3<Real>& rkP2);

    // assignment
    Plane3& operator= (const Plane3& rkPlane);

    // The "positive side" of the plane is the half space to which the plane
    // normal points.  The "negative side" is the other half space.  The
    // function returns +1 for the positive side, -1 for the negative side,
    // and 0 for the point being on the plane.
    int WhichSide (const Vector3<Real>& rkP) const;

    // Compute d = Dot(N,Q)-c where N is the plane normal and c is the plane
    // constant.  This is a signed distance.  The sign of the return value is
    // positive if the point is on the positive side of the plane, negative if
    // the point is on the negative side, and zero if the point is on the
    // plane.
    Real DistanceTo (const Vector3<Real>& rkQ) const;

    Vector3<Real> Normal;
    Real Constant;
};

} //namespace Wm4

#include "Wm4Plane3.inl"

namespace Wm4
{
typedef Plane3<float> Plane3f;
typedef Plane3<double> Plane3d;
}

#endif