plane.H

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License
    This file is part of OpenFOAM.

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    You should have received a copy of the GNU General Public License
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Class
    Foam::plane

Description
    Geometric class that creates a 2D plane and can return the intersection
    point between a line and the plane.

SourceFiles
    plane.C

\*---------------------------------------------------------------------------*/

#ifndef plane_H
#define plane_H

#include "point.H"
#include "scalarList.H"
#include "dictionary.H"
#include "line.H"

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

namespace Foam
{

// Forward declaration of friend functions and operators

class plane;
bool operator==(const plane&, const plane&);
bool operator!=(const plane&, const plane&);
Ostream& operator<<(Ostream&, const plane&);


/*---------------------------------------------------------------------------*\
                           Class plane Declaration
\*---------------------------------------------------------------------------*/

class plane
{
public:

    //- Side of the plane
    enum side
    {
        NORMAL,
        FLIP
    };

    //- A direction and a reference point
    class ray
    {
        point refPoint_;
        vector dir_;

    public:

        ray(const point& refPoint, const vector& dir)
        :
            refPoint_(refPoint),
            dir_(dir)
        {}

        const point& refPoint() const
        {
            return refPoint_;
        }

        const vector& dir() const
        {
            return dir_;
        }
    };


private:

    // Private Data

        //- Normal
        vector normal_;

        //- Reference point
        point point_;


    // Private Member Functions

        //- Calculates basePoint and normal vector given plane coefficients
        void calcPntAndVec(const scalarList& C);

        //- Calculates basePoint and normal vector given three points
        //- Normal vector determined using right hand rule
        void calcPntAndVec
        (
            const point& point1,
            const point& point2,
            const point& point3
        );


public:

    // Constructors

        //- Construct from normal vector through the origin
        explicit plane(const vector& normalVector);

        //- Construct from normal vector and point in plane
        plane(const point& basePoint, const vector& normalVector);

        //- Construct from three points in plane
        plane
        (
            const point& point1,
            const point& point2,
            const point& point3
        );

        //- Construct from coefficients for the
        //  plane equation: ax + by + cz + d = 0
        explicit plane(const scalarList& C);

        //- Construct from dictionary
        explicit plane(const dictionary& planeDict);

        //- Construct from Istream. Assumes the base + normal notation.
        explicit plane(Istream& is);


    // Member Functions

        //- Return plane normal
        const vector& normal() const;

        //- Return or return plane base point
        const point& refPoint() const;

        //- Return coefficients for the
        //  plane equation: ax + by + cz + d = 0
        FixedList<scalar, 4> planeCoeffs() const;

        //- Return a point on the plane
        point aPoint() const;

        //- Return nearest point in the plane for the given point
        point nearestPoint(const point& p) const;

        //- Return distance from the given point to the plane
        scalar distance(const point& p) const;

        //- Return cut coefficient for plane and line defined by
        //  origin and direction
        scalar normalIntersect(const point& pnt0, const vector& dir) const;

        //- Return cut coefficient for plane and ray
        scalar normalIntersect(const ray& r) const
        {
            return normalIntersect(r.refPoint(), r.dir());
        }

        //- Return the cutting point between the plane and
        // a line passing through the supplied points
        template<class Point, class PointRef>
        scalar lineIntersect(const line<Point, PointRef>& l) const
        {
            return normalIntersect(l.start(), l.vec());
        }

        //- Return the cutting line between this plane and another.
        //  Returned as direction vector and point line goes through.
        ray planeIntersect(const plane&) const;

        //- Return the cutting point between this plane and two other planes
        point planePlaneIntersect(const plane&, const plane&) const;

        //- Return the side of the plane that the point is on.
        //  If the point is on the plane, then returns NORMAL.
        side sideOfPlane(const point& p) const;

        //- Mirror the supplied point in the plane. Return the mirrored point.
        point mirror(const point& p) const;

        //- Write to dictionary
        void writeDict(Ostream&) const;


    // friend Operators

        friend bool operator==(const plane&, const plane&);
        friend bool operator!=(const plane&, const plane&);


    // IOstream Operators

        //- Write plane properties
        friend Ostream& operator<<(Ostream&, const plane&);
};


// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

} // End namespace Foam

// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

#endif

// ************************************************************************* //