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89 lines
2.8 KiB
89 lines
2.8 KiB
// David Eberly, Geometric Tools, Redmond WA 98052
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// Copyright (c) 1998-2021
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// Distributed under the Boost Software License, Version 1.0.
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// https://www.boost.org/LICENSE_1_0.txt
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// https://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
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// Version: 4.0.2019.08.13
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#pragma once
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#include <Mathematics/FIQuery.h>
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#include <Mathematics/TIQuery.h>
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#include <Mathematics/DistPoint3Plane3.h>
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#include <Mathematics/Hypersphere.h>
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#include <Mathematics/Circle3.h>
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namespace gte
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{
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template <typename Real>
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class TIQuery<Real, Plane3<Real>, Sphere3<Real>>
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{
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public:
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struct Result
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{
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bool intersect;
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};
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Result operator()(Plane3<Real> const& plane, Sphere3<Real> const& sphere)
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{
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Result result;
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DCPQuery<Real, Vector3<Real>, Plane3<Real>> ppQuery;
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auto ppResult = ppQuery(sphere.center, plane);
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result.intersect = (ppResult.distance <= sphere.radius);
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return result;
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}
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};
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template <typename Real>
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class FIQuery<Real, Plane3<Real>, Sphere3<Real>>
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{
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public:
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struct Result
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{
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bool intersect;
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// If 'intersect' is true, the intersection is either a point or a
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// circle. When 'isCircle' is true, 'circle' is valid. When
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// 'isCircle' is false, 'point' is valid.
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bool isCircle;
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Circle3<Real> circle;
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Vector3<Real> point;
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};
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Result operator()(Plane3<Real> const& plane, Sphere3<Real> const& sphere)
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{
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Result result;
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DCPQuery<Real, Vector3<Real>, Plane3<Real>> ppQuery;
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auto ppResult = ppQuery(sphere.center, plane);
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if (ppResult.distance < sphere.radius)
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{
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result.intersect = true;
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result.isCircle = true;
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result.circle.center = sphere.center - ppResult.signedDistance * plane.normal;
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result.circle.normal = plane.normal;
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// The sum and diff are both positive numbers.
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Real sum = sphere.radius + ppResult.distance;
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Real dif = sphere.radius - ppResult.distance;
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// arg = sqr(sphere.radius) - sqr(ppResult.distance)
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Real arg = sum * dif;
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result.circle.radius = std::sqrt(arg);
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return result;
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}
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else if (ppResult.distance == sphere.radius)
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{
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result.intersect = true;
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result.isCircle = false;
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result.point = sphere.center - ppResult.signedDistance * plane.normal;
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return result;
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}
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else
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{
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result.intersect = false;
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return result;
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}
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}
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};
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}
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