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// Geometric Tools, LLC
// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.1 (2010/10/01)
#include "Wm5MathematicsPCH.h"
#include "Wm5ContSphere3.h"
namespace Wm5
{
//----------------------------------------------------------------------------
template <typename Real>
Sphere3<Real> ContSphereOfAABB (int numPoints, const Vector3<Real>* points)
{
Vector3<Real> minExtreme, maxExtreme;
Vector3<Real>::ComputeExtremes(numPoints, points, minExtreme,
maxExtreme);
Sphere3<Real> sphere;
sphere.Center = ((Real)0.5)*(maxExtreme + minExtreme);
Vector3<Real> halfDiagonal = ((Real)0.5)*(maxExtreme - minExtreme);
sphere.Radius = halfDiagonal.Length();
return sphere;
}
//----------------------------------------------------------------------------
template <typename Real>
Sphere3<Real> ContSphereAverage (int numPoints, const Vector3<Real>* points)
{
Sphere3<Real> sphere;
sphere.Center = points[0];
int i;
for (i = 1; i < numPoints; ++i)
{
sphere.Center += points[i];
}
sphere.Center /= (Real)numPoints;
for (i = 0; i < numPoints; ++i)
{
Vector3<Real> diff = points[i] - sphere.Center;
Real radiusSqr = diff.SquaredLength();
if (radiusSqr > sphere.Radius)
{
sphere.Radius = radiusSqr;
}
}
sphere.Radius = Math<Real>::Sqrt(sphere.Radius);
return sphere;
}
//----------------------------------------------------------------------------
template <typename Real>
bool InSphere (const Vector3<Real>& point, const Sphere3<Real>& sphere)
{
Vector3<Real> diff = point - sphere.Center;
return diff.Length() <= sphere.Radius;
}
//----------------------------------------------------------------------------
template <typename Real>
Sphere3<Real> MergeSpheres (const Sphere3<Real>& sphere0,
const Sphere3<Real>& sphere1)
{
Vector3<Real> cenDiff = sphere1.Center - sphere0.Center;
Real lenSqr = cenDiff.SquaredLength();
Real rDiff = sphere1.Radius - sphere0.Radius;
Real rDiffSqr = rDiff*rDiff;
if (rDiffSqr >= lenSqr)
{
return (rDiff >= (Real)0 ? sphere1 : sphere0);
}
Real length = Math<Real>::Sqrt(lenSqr);
Sphere3<Real> sphere;
if (length > Math<Real>::ZERO_TOLERANCE)
{
Real coeff = (length + rDiff)/(((Real)2)*length);
sphere.Center = sphere0.Center + coeff*cenDiff;
}
else
{
sphere.Center = sphere0.Center;
}
sphere.Radius = ((Real)0.5)*(length + sphere0.Radius + sphere1.Radius);
return sphere;
}
//----------------------------------------------------------------------------
//----------------------------------------------------------------------------
// Explicit instantiation.
//----------------------------------------------------------------------------
template WM5_MATHEMATICS_ITEM
Sphere3<float> ContSphereOfAABB<float> (int, const Vector3<float>*);
template WM5_MATHEMATICS_ITEM
Sphere3<float> ContSphereAverage<float> (int, const Vector3<float>*);
template WM5_MATHEMATICS_ITEM
bool InSphere<float> (const Vector3<float>&, const Sphere3<float>&);
template WM5_MATHEMATICS_ITEM
Sphere3<float> MergeSpheres<float> (const Sphere3<float>&,
const Sphere3<float>&);
template WM5_MATHEMATICS_ITEM
Sphere3<double> ContSphereOfAABB<double> (int, const Vector3<double>*);
template WM5_MATHEMATICS_ITEM
Sphere3<double> ContSphereAverage<double> (int, const Vector3<double>*);
template WM5_MATHEMATICS_ITEM
bool InSphere<double> (const Vector3<double>&, const Sphere3<double>&);
template WM5_MATHEMATICS_ITEM
Sphere3<double> MergeSpheres<double> (const Sphere3<double>&,
const Sphere3<double>&);
//----------------------------------------------------------------------------
}
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