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/********************************************************************** * * GEOS - Geometry Engine Open Source * http://geos.osgeo.org * * Copyright (C) 2012 Excensus LLC. * * This is free software; you can redistribute and/or modify it under * the terms of the GNU Lesser General Licence as published * by the Free Software Foundation. * See the COPYING file for more information. * ********************************************************************** * * Last port: triangulate/quadedge/TrianglePredicate.java r524 * **********************************************************************/ #pragma once #include #include namespace geos { namespace geom { class CoordinateXY; } } namespace geos { namespace triangulate { namespace quadedge { /** \brief * Algorithms for computing values and predicates * associated with triangles. * * For some algorithms extended-precision * implementations are provided, which are more robust * (i.e. they produce correct answers in more cases). * Also, some more robust formulations of * some algorithms are provided, which utilize * normalization to the origin. * * @author JTS: Martin Davis * @author Benjamin Campbell * */ class GEOS_DLL TrianglePredicate { public: using CoordinateXY = geos::geom::CoordinateXY; /** * Tests if a point is inside the circle defined by * the triangle with vertices a, b, c (oriented counter-clockwise). * This test uses simple * double-precision arithmetic, and thus may not be robust. * * @param a a vertex of the triangle * @param b a vertex of the triangle * @param c a vertex of the triangle * @param p the point to test * @return true if this point is inside the circle defined by the points a, b, c */ static geom::Location isInCircleNonRobust( const CoordinateXY& a, const CoordinateXY& b, const CoordinateXY& c, const CoordinateXY& p); /** * Tests if a point is inside the circle defined by * the triangle with vertices a, b, c (oriented counter-clockwise). * This test uses simple * double-precision arithmetic, and thus is not 10% robust. * However, by using normalization to the origin * it provides improved robustness and increased performance. *

* Based on code by J.R.Shewchuk. * * * @param a a vertex of the triangle * @param b a vertex of the triangle * @param c a vertex of the triangle * @param p the point to test * @return true if this point is inside the circle defined by the points a, b, c */ static geom::Location isInCircleNormalized( const CoordinateXY& a, const CoordinateXY& b, const CoordinateXY& c, const CoordinateXY& p); private: /** * Computes twice the area of the oriented triangle (a, b, c), i.e., the area is positive if the * triangle is oriented counterclockwise. * * @param a a vertex of the triangle * @param b a vertex of the triangle * @param c a vertex of the triangle */ static double triArea(const CoordinateXY& a, const CoordinateXY& b, const CoordinateXY& c); public: /** * Tests if a point is inside the circle defined by * the triangle with vertices a, b, c (oriented counter-clockwise). * This method uses more robust computation. * * @param a a vertex of the triangle * @param b a vertex of the triangle * @param c a vertex of the triangle * @param p the point to test * @return true if this point is inside the circle defined by the points a, b, c */ static geom::Location isInCircleRobust( const CoordinateXY& a, const CoordinateXY& b, const CoordinateXY& c, const CoordinateXY& p); } ; } // namespace geos.triangulate.quadedge } // namespace geos.triangulate } // namespace geos