You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
91 lines
2.3 KiB
91 lines
2.3 KiB
// David Eberly, Geometric Tools, Redmond WA 98052
|
|
// Copyright (c) 1998-2021
|
|
// Distributed under the Boost Software License, Version 1.0.
|
|
// https://www.boost.org/LICENSE_1_0.txt
|
|
// https://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
|
|
// Version: 4.0.2019.08.13
|
|
|
|
#pragma once
|
|
|
|
#include <Mathematics/Vector.h>
|
|
|
|
// The hypersphere is represented as |X-C| = R where C is the center and R is
|
|
// the radius. The hypersphere is a circle for dimension 2 or a sphere for
|
|
// dimension 3.
|
|
|
|
namespace gte
|
|
{
|
|
template <int N, typename Real>
|
|
class Hypersphere
|
|
{
|
|
public:
|
|
// Construction and destruction. The default constructor sets the center
|
|
// to (0,...,0) and the radius to 1.
|
|
Hypersphere()
|
|
:
|
|
radius((Real)1)
|
|
{
|
|
center.MakeZero();
|
|
}
|
|
|
|
Hypersphere(Vector<N, Real> const& inCenter, Real inRadius)
|
|
:
|
|
center(inCenter),
|
|
radius(inRadius)
|
|
{
|
|
}
|
|
|
|
// Public member access.
|
|
Vector<N, Real> center;
|
|
Real radius;
|
|
|
|
public:
|
|
// Comparisons to support sorted containers.
|
|
bool operator==(Hypersphere const& hypersphere) const
|
|
{
|
|
return center == hypersphere.center && radius == hypersphere.radius;
|
|
}
|
|
|
|
bool operator!=(Hypersphere const& hypersphere) const
|
|
{
|
|
return !operator==(hypersphere);
|
|
}
|
|
|
|
bool operator< (Hypersphere const& hypersphere) const
|
|
{
|
|
if (center < hypersphere.center)
|
|
{
|
|
return true;
|
|
}
|
|
|
|
if (center > hypersphere.center)
|
|
{
|
|
return false;
|
|
}
|
|
|
|
return radius < hypersphere.radius;
|
|
}
|
|
|
|
bool operator<=(Hypersphere const& hypersphere) const
|
|
{
|
|
return !hypersphere.operator<(*this);
|
|
}
|
|
|
|
bool operator> (Hypersphere const& hypersphere) const
|
|
{
|
|
return hypersphere.operator<(*this);
|
|
}
|
|
|
|
bool operator>=(Hypersphere const& hypersphere) const
|
|
{
|
|
return !operator<(hypersphere);
|
|
}
|
|
};
|
|
|
|
// Template aliases for convenience.
|
|
template <typename Real>
|
|
using Circle2 = Hypersphere<2, Real>;
|
|
|
|
template <typename Real>
|
|
using Sphere3 = Hypersphere<3, Real>;
|
|
}
|
|
|