OpenSceneGraph/src/osg/BoundingSphere.cpp

/* -*-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.
*/
#include <osg/BoundingSphere>
#include <osg/BoundingBox>

using namespace osg;

void BoundingSphere::expandBy(const Vec3f& v)
{
    if (valid())
    {
        vec_type dv = 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;
    }
}


void BoundingSphere::expandRadiusBy(const Vec3f& v)
{
    if (valid())
    {
        value_type r = (v-_center).length();
        if (r>_radius) _radius = r;
        // else do nothing as vertex is within sphere.
    }
    else
    {
        _center = v;
        _radius = 0.0;
    }
}



void BoundingSphere::expandBy(const Vec3d& v)
{
    if (valid())
    {
        vec_type dv = 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;
    }
}


void BoundingSphere::expandRadiusBy(const Vec3d& v)
{
    if (valid())
    {
        value_type r = (v-_center).length();
        if (r>_radius) _radius = r;
        // else do nothing as vertex is within sphere.
    }
    else
    {
        _center = v;
        _radius = 0.0;
    }
}



void BoundingSphere::expandBy(const BoundingSphere& sh)
{

    // 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;

}


void BoundingSphere::expandRadiusBy(const BoundingSphere& 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;
        }
    }
}

void BoundingSphere::expandBy(const BoundingBox& bb)
{
    if (bb.valid())
    {
        if (valid())
        {
            BoundingBox newbb(bb);

            for(unsigned int c=0;c<8;++c)
            {
                Vec3 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();
        }
    }
}

void BoundingSphere::expandRadiusBy(const BoundingBox& 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();
        }
    }
}