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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 | // Geometric Tools, LLC
// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.1 (2010/10/01)
#ifndef WM5CONTSEPARATEPOINTS2_H
#define WM5CONTSEPARATEPOINTS2_H
// Separate two point sets, if possible, by computing a line for which the
// point sets lie on opposite sides. The algorithm computes the convex hull
// of the point sets, then uses the method of separating axes to determine if
// the two convex polygons are disjoint. The convex hull calculation is
// O(n*log(n)). There is a randomized linear approach that takes O(n), but
// I have not yet implemented it.
//
// The return value of the function is 'true' if and only if there is a
// separation. If 'true', the returned line is a separating line.
#include "Wm5MathematicsLIB.h"
#include "Wm5Line2.h"
namespace Wm5
{
template <typename Real>
class WM5_MATHEMATICS_ITEM SeparatePoints2
{
public:
SeparatePoints2 (int numPoints0, const Vector2<Real>* points0,
int numPoints1, const Vector2<Real>* points1,
Line2<Real>& separatingLine);
// Return the result of the constructor call. If 'true', the output
// line 'separatingLine' is valid.
operator bool ();
private:
static int OnSameSide (const Vector2<Real>& lineNormal,
Real lineConstant, int numEdges, const int* edges,
const Vector2<Real>* points);
static int WhichSide (const Vector2<Real>& lineNormal,
Real lineConstant, int numEdges, const int* edges,
const Vector2<Real>* points);
bool mSeparated;
};
typedef SeparatePoints2<float> SeparatePoints2f;
typedef SeparatePoints2<double> SeparatePoints2d;
}
#endif
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