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.
 
 

42 lines
1.3 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/TIQuery.h>
#include <Mathematics/Halfspace.h>
#include <Mathematics/Hypersphere.h>
// Queries for intersection of objects with halfspaces. These are useful for
// containment testing, object culling, and clipping.
namespace gte
{
template <typename Real>
class TIQuery<Real, Halfspace3<Real>, Sphere3<Real>>
{
public:
struct Result
{
bool intersect;
};
Result operator()(Halfspace3<Real> const& halfspace, Sphere3<Real> const& sphere)
{
Result result;
// Project the sphere center onto the normal line. The plane of
// the halfspace occurs at the origin (zero) of the normal line.
Real center = Dot(halfspace.normal, sphere.center) - halfspace.constant;
// The sphere and halfspace intersect when the projection interval
// maximum is nonnegative.
result.intersect = (center + sphere.radius >= (Real)0);
return result;
}
};
}