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/********************************************************************** * * GEOS - Geometry Engine Open Source * http://geos.osgeo.org * * Copyright (C) 2018 Paul Ramsey * * This is free software; you can redistribute and/or modify it under * the terms of the GNU Lesser General Public Licence as published * by the Free Software Foundation. * See the COPYING file for more information. * ********************************************************************** * * Last port: algorithm/Orientation.java @ 2017-09-04 * **********************************************************************/ #pragma once #include #include #include namespace geos { namespace algorithm { // geos::algorithm /** \brief * Functions to compute the orientation of basic geometric structures * including point triplets (triangles) and rings. * * Orientation is a fundamental property of planar geometries * (and more generally geometry on two-dimensional manifolds). * * Orientation is notoriously subject to numerical precision errors * in the case of collinear or nearly collinear points. * JTS uses extended-precision arithmetic to increase * the robustness of the computation. * * @author Martin Davis */ class GEOS_DLL Orientation { public: /* A value that indicates an orientation or turn */ enum { CLOCKWISE = -1, COLLINEAR = 0, COUNTERCLOCKWISE = 1, RIGHT = -1, LEFT = 1, STRAIGHT = 0 }; /** \brief * Returns the orientation index of the direction of the point q relative to * a directed infinite line specified by p1-p2. * * The index indicates whether the point lies to the * `Orientation::LEFT` or `Orientation::RIGHT` * of the line, or lies on it `Orientation::COLLINEAR`. * The index also indicates the orientation of the triangle formed * by the three points * ( `Orientation::COUNTERCLOCKWISE`, * `Orientation::CLOCKWISE`, or `Orientation::STRAIGHT` ) */ static int index(const geom::CoordinateXY& p1, const geom::CoordinateXY& p2, const geom::CoordinateXY& q); /** * Computes whether a ring defined by a geom::CoordinateSequence is * oriented counter-clockwise. * * * The list of points is assumed to have the first and last points equal. * * This handles coordinate lists which contain repeated points. * * This handles rings which contain collapsed segments * (in particular, along the top of the ring). * * This algorithm is guaranteed to work with valid rings. * It also works with "mildly invalid" rings * which contain collapsed (coincident) flat segments along the top of the ring. * If the ring is "more" invalid (e.g. self-crosses or touches), * the computed result may not be correct. * * @param ring a CoordinateSequence forming a ring (with first and last point identical) * @return true if the ring is oriented counter-clockwise. * @throws IllegalArgumentException if there are too few points to determine orientation (< 4) */ static bool isCCW(const geom::CoordinateSequence* ring); /** * Tests if a ring defined by a CoordinateSequence is * oriented counter-clockwise, using the signed area of the ring. * * * The list of points is assumed to have the first and last points equal. * * This handles coordinate lists which contain repeated points. * * This handles rings which contain collapsed segments * (in particular, along the top of the ring). * * This handles rings which are invalid due to self-intersection * * This algorithm is guaranteed to work with valid rings. * For invalid rings (containing self-intersections), * the algorithm determines the orientation of * the largest enclosed area (including overlaps). * This provides a more useful result in some situations, such as buffering. * * However, this approach may be less accurate in the case of * rings with almost zero area. * (Note that the orientation of rings with zero area is essentially * undefined, and hence non-deterministic.) * * @param ring a CoordinateSequence forming a ring (with first and last point identical) * @return true if the ring is oriented counter-clockwise. */ static bool isCCWArea(const geom::CoordinateSequence* ring); }; } // namespace geos::algorithm } // namespace geos