BoundingSphere.h

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/* -*-c++-*- OpenSceneGraph - Copyright (C) 1998-2006 Robert Osfield
 *
 * This library is open source and may be redistributed and/or modified under
 * the terms of the OpenSceneGraph Public License (OSGPL) version 0.0 or
 * (at your option) any later version.  The full license is in LICENSE file
 * included with this distribution, and on the openscenegraph.org website.
 *
 * This library is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * OpenSceneGraph Public License for more details.
*/

#ifndef OSG_BOUNDINGSPHERE
#define OSG_BOUNDINGSPHERE 1

#include <osg/Config>
#include <osg/Export>
#include <osg/Vec3f>
#include <osg/Vec3d>

namespace osg {

template<typename VT>
class BoundingBoxImpl;

template<typename VT>
class BoundingSphereImpl
{
    public:
        typedef VT vec_type;
        typedef typename VT::value_type value_type;

        vec_type    _center;
        value_type  _radius;

        BoundingSphereImpl() : _center(0.0,0.0,0.0),_radius(-1.0) {}

        BoundingSphereImpl(const vec_type& center, value_type radius) : _center(center),_radius(radius) {}

        BoundingSphereImpl(const BoundingSphereImpl& bs) : _center(bs._center),_radius(bs._radius) {}

        BoundingSphereImpl(const BoundingBoxImpl<VT>& bb) : _center(0.0,0.0,0.0),_radius(-1.0) { expandBy(bb); }

        inline void init()
        {
            _center.set(0.0,0.0,0.0);
            _radius = -1.0;
        }

        inline bool valid() const { return _radius>=0.0; }

        inline bool operator == (const BoundingSphereImpl& rhs) const { return _center==rhs._center && _radius==rhs._radius; }
        inline bool operator != (const BoundingSphereImpl& rhs) const { return _center!=rhs._center || _radius==rhs._radius; }

        inline void set(const vec_type& center,value_type radius)
        {
            _center = center;
            _radius = radius;
        }

        inline vec_type& center() { return _center; }

        inline const vec_type& center() const { return _center; }

        inline value_type& radius() { return _radius; }
        inline value_type radius() const { return _radius; }

        inline value_type radius2() const { return _radius*_radius; }

        template<typename vector_type>
        void expandBy(const vector_type& v);

        template<typename vector_type>
        void expandRadiusBy(const vector_type& v);

        void expandBy(const BoundingSphereImpl& sh);

        void expandRadiusBy(const BoundingSphereImpl& sh);

        template<typename BBT>
        void expandBy(const BoundingBoxImpl<BBT>& bb);

        template<typename BBT>
        void expandRadiusBy(const BoundingBoxImpl<BBT>& bb);

        inline bool contains(const vec_type& v) const
        {
            return valid() && ((v-_center).length2()<=radius2());
        }


        inline bool intersects( const BoundingSphereImpl& bs ) const
        {
            return valid() && bs.valid() &&
                   ((_center - bs._center).length2() <= (_radius + bs._radius)*(_radius + bs._radius));
        }
};


template<typename VT>
template<typename vector_type>
void BoundingSphereImpl<VT>::expandBy(const vector_type& v)
{
    if (valid())
    {
        vec_type dv = vec_type(v)-_center;
        value_type r = dv.length();
        if (r>_radius)
        {
            value_type dr = (r-_radius)*0.5;
            _center += dv*(dr/r);
            _radius += dr;
        } // else do nothing as vertex is within sphere.
    }
    else
    {
        _center = v;
        _radius = 0.0;
    }
}

template<typename VT>
template<typename vector_type>
void BoundingSphereImpl<VT>::expandRadiusBy(const vector_type& v)
{
    if (valid())
    {
        value_type r = (vec_type(v)-_center).length();
        if (r>_radius) _radius = r;
        // else do nothing as vertex is within sphere.
    }
    else
    {
        _center = v;
        _radius = 0.0;
    }
}

template<typename VT>
void BoundingSphereImpl<VT>::expandBy(const BoundingSphereImpl& sh)
{
    // ignore operation if incoming BoundingSphere is invalid.
    if (!sh.valid()) return;

    // This sphere is not set so use the inbound sphere
    if (!valid())
    {
        _center = sh._center;
        _radius = sh._radius;

        return;
    }


    // Calculate d == The distance between the sphere centers
    double d = ( _center - sh.center() ).length();

    // New sphere is already inside this one
    if ( d + sh.radius() <= _radius )
    {
        return;
    }

    //  New sphere completely contains this one
    if ( d + _radius <= sh.radius() )
    {
        _center = sh._center;
        _radius = sh._radius;
        return;
    }


    // Build a new sphere that completely contains the other two:
    //
    // The center point lies halfway along the line between the furthest
    // points on the edges of the two spheres.
    //
    // Computing those two points is ugly - so we'll use similar triangles
    double new_radius = (_radius + d + sh.radius() ) * 0.5;
    double ratio = ( new_radius - _radius ) / d ;

    _center[0] += ( sh.center()[0] - _center[0] ) * ratio;
    _center[1] += ( sh.center()[1] - _center[1] ) * ratio;
    _center[2] += ( sh.center()[2] - _center[2] ) * ratio;

    _radius = new_radius;

}

template<typename VT>
void BoundingSphereImpl<VT>::expandRadiusBy(const BoundingSphereImpl& sh)
{
    if (sh.valid())
    {
        if (valid())
        {
            value_type r = (sh._center-_center).length()+sh._radius;
            if (r>_radius) _radius = r;
            // else do nothing as vertex is within sphere.
        }
        else
        {
            _center = sh._center;
            _radius = sh._radius;
        }
    }
}

template<typename VT>
template<typename BBT>
void BoundingSphereImpl<VT>::expandBy(const BoundingBoxImpl<BBT>& bb)
{
    if (bb.valid())
    {
        if (valid())
        {
            BoundingBoxImpl<vec_type> newbb(bb);

            for(unsigned int c=0;c<8;++c)
            {
                vec_type v = bb.corner(c)-_center; // get the direction vector from corner
                v.normalize(); // normalise it.
                v *= -_radius; // move the vector in the opposite direction distance radius.
                v += _center; // move to absolute position.
                newbb.expandBy(v); // add it into the new bounding box.
            }

            _center = newbb.center();
            _radius = newbb.radius();

        }
        else
        {
            _center = bb.center();
            _radius = bb.radius();
        }
    }
}

template<typename VT>
template<typename BBT>
void BoundingSphereImpl<VT>::expandRadiusBy(const BoundingBoxImpl<BBT>& bb)
{
    if (bb.valid())
    {
        if (valid())
        {
            for(unsigned int c=0;c<8;++c)
            {
                expandRadiusBy(bb.corner(c));
            }
        }
        else
        {
            _center = bb.center();
            _radius = bb.radius();
        }
    }
}

typedef BoundingSphereImpl<Vec3f> BoundingSpheref;
typedef BoundingSphereImpl<Vec3d> BoundingSphered;

#ifdef OSG_USE_FLOAT_BOUNDINGSPHERE
        typedef BoundingSpheref BoundingSphere;
#else
        typedef BoundingSphered BoundingSphere;
#endif
}

#endif