aabbox3d.h

// Copyright (C) 2002-2012 Nikolaus Gebhardt
// This file is part of the "Irrlicht Engine".
// For conditions of distribution and use, see copyright notice in irrlicht.h
 
#ifndef __IRR_AABBOX_3D_H_INCLUDED__
#define __IRR_AABBOX_3D_H_INCLUDED__
 
#include "irrMath.h"
#include "plane3d.h"
#include "line3d.h"
 
namespace irr
{
namespace core
{


template <class T>
class aabbox3d
{
    public:

        aabbox3d(): MinEdge(-1,-1,-1), MaxEdge(1,1,1) {}
        aabbox3d(const vector3d<T>& min, const vector3d<T>& max): MinEdge(min), MaxEdge(max) {}
        aabbox3d(const vector3d<T>& init): MinEdge(init), MaxEdge(init) {}
        aabbox3d(T minx, T miny, T minz, T maxx, T maxy, T maxz): MinEdge(minx, miny, minz), MaxEdge(maxx, maxy, maxz) {}
 
        // operators

        inline bool operator==(const aabbox3d<T>& other) const { return (MinEdge == other.MinEdge && other.MaxEdge == MaxEdge);}

        inline bool operator!=(const aabbox3d<T>& other) const { return !(MinEdge == other.MinEdge && other.MaxEdge == MaxEdge);}
 
        // functions


        void reset(T x, T y, T z)
        {
            MaxEdge.set(x,y,z);
            MinEdge = MaxEdge;
        }


        void reset(const aabbox3d<T>& initValue)
        {
            *this = initValue;
        }


        void reset(const vector3d<T>& initValue)
        {
            MaxEdge = initValue;
            MinEdge = initValue;
        }


        void addInternalPoint(const vector3d<T>& p)
        {
            addInternalPoint(p.X, p.Y, p.Z);
        }


        void addInternalBox(const aabbox3d<T>& b)
        {
            addInternalPoint(b.MaxEdge);
            addInternalPoint(b.MinEdge);
        }


        void addInternalPoint(T x, T y, T z)
        {
            if (x>MaxEdge.X) MaxEdge.X = x;
            if (y>MaxEdge.Y) MaxEdge.Y = y;
            if (z>MaxEdge.Z) MaxEdge.Z = z;
 
            if (x<MinEdge.X) MinEdge.X = x;
            if (y<MinEdge.Y) MinEdge.Y = y;
            if (z<MinEdge.Z) MinEdge.Z = z;
        }


        vector3d<T> getCenter() const
        {
            return (MinEdge + MaxEdge) / 2;
        }


        vector3d<T> getExtent() const
        {
            return MaxEdge - MinEdge;
        }


        T getRadius() const
        {
            const T radius = getExtent().getLength() / 2;
            return radius;
        }


        bool isEmpty() const
        {
            return MinEdge.equals ( MaxEdge );
        }

        T getVolume() const
        {
            const vector3d<T> e = getExtent();
            return e.X * e.Y * e.Z;
        }

        T getArea() const
        {
            const vector3d<T> e = getExtent();
            return 2*(e.X*e.Y + e.X*e.Z + e.Y*e.Z);
        }


        void getEdges(vector3d<T> *edges) const
        {
            const core::vector3d<T> middle = getCenter();
            const core::vector3d<T> diag = middle - MaxEdge;
 
            /*
            Edges are stored in this way:
            Hey, am I an ascii artist, or what? :) niko.
                   /3--------/7
                  / |       / |
                 /  |      /  |
                1---------5   |
                |  /2- - -|- -6
                | /       |  /
                |/        | /
                0---------4/
            */
 
            edges[0].set(middle.X + diag.X, middle.Y + diag.Y, middle.Z + diag.Z);
            edges[1].set(middle.X + diag.X, middle.Y - diag.Y, middle.Z + diag.Z);
            edges[2].set(middle.X + diag.X, middle.Y + diag.Y, middle.Z - diag.Z);
            edges[3].set(middle.X + diag.X, middle.Y - diag.Y, middle.Z - diag.Z);
            edges[4].set(middle.X - diag.X, middle.Y + diag.Y, middle.Z + diag.Z);
            edges[5].set(middle.X - diag.X, middle.Y - diag.Y, middle.Z + diag.Z);
            edges[6].set(middle.X - diag.X, middle.Y + diag.Y, middle.Z - diag.Z);
            edges[7].set(middle.X - diag.X, middle.Y - diag.Y, middle.Z - diag.Z);
        }


        void repair()
        {
            T t;
 
            if (MinEdge.X > MaxEdge.X)
                { t=MinEdge.X; MinEdge.X = MaxEdge.X; MaxEdge.X=t; }
            if (MinEdge.Y > MaxEdge.Y)
                { t=MinEdge.Y; MinEdge.Y = MaxEdge.Y; MaxEdge.Y=t; }
            if (MinEdge.Z > MaxEdge.Z)
                { t=MinEdge.Z; MinEdge.Z = MaxEdge.Z; MaxEdge.Z=t; }
        }


        aabbox3d<T> getInterpolated(const aabbox3d<T>& other, f32 d) const
        {
            f32 inv = 1.0f - d;
            return aabbox3d<T>((other.MinEdge*inv) + (MinEdge*d),
                (other.MaxEdge*inv) + (MaxEdge*d));
        }


        bool isPointInside(const vector3d<T>& p) const
        {
            return (p.X >= MinEdge.X && p.X <= MaxEdge.X &&
                p.Y >= MinEdge.Y && p.Y <= MaxEdge.Y &&
                p.Z >= MinEdge.Z && p.Z <= MaxEdge.Z);
        }


        bool isPointTotalInside(const vector3d<T>& p) const
        {
            return (p.X > MinEdge.X && p.X < MaxEdge.X &&
                p.Y > MinEdge.Y && p.Y < MaxEdge.Y &&
                p.Z > MinEdge.Z && p.Z < MaxEdge.Z);
        }


        bool isFullInside(const aabbox3d<T>& other) const
        {
            return (MinEdge.X >= other.MinEdge.X && MinEdge.Y >= other.MinEdge.Y && MinEdge.Z >= other.MinEdge.Z &&
                MaxEdge.X <= other.MaxEdge.X && MaxEdge.Y <= other.MaxEdge.Y && MaxEdge.Z <= other.MaxEdge.Z);
        }

        aabbox3d<T> intersect(const aabbox3d<T>& other) const
        {
            aabbox3d<T> out;
 
            if (!intersectsWithBox(other))
                return out;
 
            out.MaxEdge.X = min_(MaxEdge.X, other.MaxEdge.X);
            out.MaxEdge.Y = min_(MaxEdge.Y, other.MaxEdge.Y);
            out.MaxEdge.Z = min_(MaxEdge.Z, other.MaxEdge.Z);
 
            out.MinEdge.X = max_(MinEdge.X, other.MinEdge.X);
            out.MinEdge.Y = max_(MinEdge.Y, other.MinEdge.Y);
            out.MinEdge.Z = max_(MinEdge.Z, other.MinEdge.Z);
 
            return out;
        }


        bool intersectsWithBox(const aabbox3d<T>& other) const
        {
            return (MinEdge.X <= other.MaxEdge.X && MinEdge.Y <= other.MaxEdge.Y && MinEdge.Z <= other.MaxEdge.Z &&
                MaxEdge.X >= other.MinEdge.X && MaxEdge.Y >= other.MinEdge.Y && MaxEdge.Z >= other.MinEdge.Z);
        }


        bool intersectsWithLine(const line3d<T>& line) const
        {
            return intersectsWithLine(line.getMiddle(), line.getVector().normalize(),
                    (T)(line.getLength() * 0.5));
        }


        bool intersectsWithLine(const vector3d<T>& linemiddle,
                    const vector3d<T>& linevect, T halflength) const
        {
            const vector3d<T> e = getExtent() * (T)0.5;
            const vector3d<T> t = getCenter() - linemiddle;
 
            if ((fabs(t.X) > e.X + halflength * fabs(linevect.X)) ||
                (fabs(t.Y) > e.Y + halflength * fabs(linevect.Y)) ||
                (fabs(t.Z) > e.Z + halflength * fabs(linevect.Z)) )
                return false;
 
            T r = e.Y * (T)fabs(linevect.Z) + e.Z * (T)fabs(linevect.Y);
            if (fabs(t.Y*linevect.Z - t.Z*linevect.Y) > r )
                return false;
 
            r = e.X * (T)fabs(linevect.Z) + e.Z * (T)fabs(linevect.X);
            if (fabs(t.Z*linevect.X - t.X*linevect.Z) > r )
                return false;
 
            r = e.X * (T)fabs(linevect.Y) + e.Y * (T)fabs(linevect.X);
            if (fabs(t.X*linevect.Y - t.Y*linevect.X) > r)
                return false;
 
            return true;
        }


        EIntersectionRelation3D classifyPlaneRelation(const plane3d<T>& plane) const
        {
            vector3d<T> nearPoint(MaxEdge);
            vector3d<T> farPoint(MinEdge);
 
            if (plane.Normal.X > (T)0)
            {
                nearPoint.X = MinEdge.X;
                farPoint.X = MaxEdge.X;
            }
 
            if (plane.Normal.Y > (T)0)
            {
                nearPoint.Y = MinEdge.Y;
                farPoint.Y = MaxEdge.Y;
            }
 
            if (plane.Normal.Z > (T)0)
            {
                nearPoint.Z = MinEdge.Z;
                farPoint.Z = MaxEdge.Z;
            }
 
            if (plane.Normal.dotProduct(nearPoint) + plane.D > (T)0)
                return ISREL3D_FRONT;
 
            if (plane.Normal.dotProduct(farPoint) + plane.D > (T)0)
                return ISREL3D_CLIPPED;
 
            return ISREL3D_BACK;
        }

        vector3d<T> MinEdge;

        vector3d<T> MaxEdge;
};

    typedef aabbox3d<f32> aabbox3df;
    typedef aabbox3d<s32> aabbox3di;
 
} // end namespace core
} // end namespace irr
 
#endif