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107 lines
3.5 KiB
107 lines
3.5 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: 4.0.2021.05.06
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#pragma once
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#include <Mathematics/IntrIntervals.h>
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#include <Mathematics/IntrLine2Triangle2.h>
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#include <Mathematics/Segment.h>
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// The queries consider the triangle to be a solid.
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namespace gte
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{
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template <typename Real>
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class TIQuery<Real, Segment2<Real>, Triangle2<Real>>
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{
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public:
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struct Result
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{
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Result()
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:
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intersect(false)
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{
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}
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bool intersect;
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};
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Result operator()(Segment2<Real> const& segment, Triangle2<Real> const& triangle)
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{
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Result result{};
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FIQuery<Real, Segment2<Real>, Triangle2<Real>> stQuery;
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result.intersect = stQuery(segment, triangle).intersect;
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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, Segment2<Real>, Triangle2<Real>>
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:
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public FIQuery<Real, Line2<Real>, Triangle2<Real>>
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{
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public:
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struct Result
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:
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public FIQuery<Real, Line2<Real>, Triangle2<Real>>::Result
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{
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// No additional information to compute.
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};
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Result operator()(Segment2<Real> const& segment, Triangle2<Real> const& triangle)
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{
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Vector2<Real> segOrigin, segDirection;
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Real segExtent;
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segment.GetCenteredForm(segOrigin, segDirection, segExtent);
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Result result{};
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DoQuery(segOrigin, segDirection, segExtent, triangle, result);
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if (result.numIntersections == 2)
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{
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result.point[0] = segOrigin + result.parameter[0] * segDirection;
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result.point[1] = segOrigin + result.parameter[1] * segDirection;
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}
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else if (result.numIntersections == 1)
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{
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result.point[0] = segOrigin + result.parameter[0] * segDirection;
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result.point[1] = result.point[0];
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}
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// else: result set to no-intersection in DoQuery(...)
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return result;
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}
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protected:
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void DoQuery(Vector2<Real> const& segOrigin,
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Vector2<Real> const& segDirection, Real segExtent,
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Triangle2<Real> const& triangle, Result& result)
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{
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FIQuery<Real, Line2<Real>, Triangle2<Real>>::DoQuery(segOrigin,
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segDirection, triangle, result);
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if (result.intersect)
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{
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// The line containing the segment intersects the triangle;
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// the t-interval is [t0,t1]. The segment intersects the
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// triangle as long as [t0,t1] overlaps the segment t-interval
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// [-segExtent,+segExtent].
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std::array<Real, 2> segInterval{ -segExtent, segExtent };
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FIQuery<Real, std::array<Real, 2>, std::array<Real, 2>> iiQuery;
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auto iiResult = iiQuery(result.parameter, segInterval);
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if (iiResult.intersect)
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{
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result.numIntersections = iiResult.numIntersections;
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result.parameter = iiResult.overlap;
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}
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else
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{
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// Set the state to no-intersection.
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result = Result{};
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}
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}
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}
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};
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}
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