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// 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/DCPQuery.h>
#include <Mathematics/Line.h>
namespace gte
{
template <int N, typename Real>
class DCPQuery<Real, Vector<N, Real>, Line<N, Real>>
{
public:
struct Result
{
Real distance, sqrDistance;
Real lineParameter; // t in (-infinity,+infinity)
Vector<N, Real> lineClosest; // origin + t * direction
};
Result operator()(Vector<N, Real> const& point, Line<N, Real> const& line)
{
Result result;
Vector<N, Real> diff = point - line.origin;
result.lineParameter = Dot(line.direction, diff);
result.lineClosest = line.origin + result.lineParameter * line.direction;
diff = point - result.lineClosest;
result.sqrDistance = Dot(diff, diff);
result.distance = std::sqrt(result.sqrDistance);
return result;
}
};
// Template aliases for convenience.
template <int N, typename Real>
using DCPPointLine = DCPQuery<Real, Vector<N, Real>, Line<N, Real>>;
template <typename Real>
using DCPPoint2Line2 = DCPPointLine<2, Real>;
template <typename Real>
using DCPPoint3Line3 = DCPPointLine<3, Real>;
}