/**********************************************************************
 * $Id: ConvexHull.h 2556 2009-06-06 22:22:28Z strk $
 *
 * GEOS - Geometry Engine Open Source
 * http://geos.refractions.net
 *
 * Copyright (C) 2005-2006 Refractions Research Inc.
 * Copyright (C) 2001-2002 Vivid Solutions Inc.
 *
 * 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.
 *
 **********************************************************************/

#ifndef GEOS_ALGORITHM_CONVEXHULL_H
#define GEOS_ALGORITHM_CONVEXHULL_H

#include <geos/export.h>
#include <vector>

// FIXME: avoid using Cordinate:: typedefs to avoid full include
#include <geos/geom/Coordinate.h>

// Forward declarations
namespace geos {
	namespace geom {
		class Geometry;
		class GeometryFactory;
		class CoordinateSequence;
	}
}

namespace geos {
namespace algorithm { // geos::algorithm

/**
 * Computes the convex hull of a Geometry.
 *
 * The convex hull is the smallest convex Geometry that contains all the
 * points in the input Geometry.
 * 
 * Uses the Graham Scan algorithm.
 *
 * Last port: algorithm/ConvexHull.java rev. 1.26 (JTS-1.7)
 *
 */
class GEOS_DLL ConvexHull {
private:
	const geom::GeometryFactory *geomFactory;
	geom::Coordinate::ConstVect inputPts;

	void extractCoordinates(const geom::Geometry *geom);

	/// Create a CoordinateSequence from the Coordinate::ConstVect
	/// This is needed to construct the geometries.
	/// Here coordinate copies happen
	/// The returned object is newly allocated !NO EXCEPTION SAFE!
	geom::CoordinateSequence *toCoordinateSequence(geom::Coordinate::ConstVect &cv);

	void computeOctPts(const geom::Coordinate::ConstVect &src,
			geom::Coordinate::ConstVect &tgt);

	bool computeOctRing(const geom::Coordinate::ConstVect &src,
			geom::Coordinate::ConstVect &tgt);

	/**
	 * Uses a heuristic to reduce the number of points scanned
	 * to compute the hull.
	 * The heuristic is to find a polygon guaranteed to
	 * be in (or on) the hull, and eliminate all points inside it.
	 * A quadrilateral defined by the extremal points
	 * in the four orthogonal directions
	 * can be used, but even more inclusive is
	 * to use an octilateral defined by the points in the
	 * 8 cardinal directions.
	 *
	 * Note that even if the method used to determine the polygon
	 * vertices is not 100% robust, this does not affect the
	 * robustness of the convex hull.
	 *
	 * @param pts The vector of const Coordinate pointers
	 *            to be reduced
	 *
	 *
	 * WARNING: the parameter will be modified
	 *
	 */
	void reduce(geom::Coordinate::ConstVect &pts);


	/// parameter will be modified
	void preSort(geom::Coordinate::ConstVect &pts);

	/**
	 * Given two points p and q compare them with respect to their radial
	 * ordering about point o.  First checks radial ordering.
	 * If points are collinear, the comparison is based
	 * on their distance to the origin.
	 * 
	 * p < q iff
	 *
	 * - ang(o-p) < ang(o-q) (e.g. o-p-q is CCW)
	 * - or ang(o-p) == ang(o-q) && dist(o,p) < dist(o,q)
	 *
	 * @param o the origin
	 * @param p a point
	 * @param q another point
	 * @return -1, 0 or 1 depending on whether p is less than,
	 * equal to or greater than q
	 */
	int polarCompare(const geom::Coordinate &o,
			const geom::Coordinate &p, const geom::Coordinate &q);

	void grahamScan(const geom::Coordinate::ConstVect &c,
			geom::Coordinate::ConstVect &ps);

	/**
	 * @param  vertices  the vertices of a linear ring,
	 *                   which may or may not be
	 *                   flattened (i.e. vertices collinear)
	 *
	 * @return           a 2-vertex LineString if the vertices are
	 *                   collinear; otherwise, a Polygon with unnecessary
	 *                   (collinear) vertices removed
	 */
	geom::Geometry* lineOrPolygon(const geom::Coordinate::ConstVect &vertices);

	/**
	 * Write in 'cleaned' a version of 'input' with collinear
	 * vertexes removed.
   	 */
	void cleanRing(const geom::Coordinate::ConstVect &input,
			geom::Coordinate::ConstVect &cleaned);

	/**
	 * @return  whether the three coordinates are collinear
	 *          and c2 lies between c1 and c3 inclusive
	 */
	bool isBetween(const geom::Coordinate& c1, const geom::Coordinate& c2, const geom::Coordinate& c3);

public:

	/**
	 * Create a new convex hull construction for the input Geometry.
	 */
	ConvexHull(const geom::Geometry *newGeometry);


	~ConvexHull();

	/**
	 * Returns a Geometry that represents the convex hull of
	 * the input geometry.
	 * The returned geometry contains the minimal number of points
	 * needed to represent the convex hull. 
	 * In particular, no more than two consecutive points
	 * will be collinear.
	 *
	 * @return if the convex hull contains 3 or more points,
	 *         a Polygon; 2 points, a LineString;
	 *         1 point, a Point; 0 points, an empty GeometryCollection.
	 */
	geom::Geometry* getConvexHull();
};

} // namespace geos::algorithm
} // namespace geos

#ifdef GEOS_INLINE
# include "geos/algorithm/ConvexHull.inl"
#endif

#endif // GEOS_ALGORITHM_CONVEXHULL_H

/**********************************************************************
 * $Log$
 * Revision 1.2  2006/03/24 09:52:41  strk
 * USE_INLINE => GEOS_INLINE
 *
 * Revision 1.1  2006/03/09 16:46:48  strk
 * geos::geom namespace definition, first pass at headers split
 *
 **********************************************************************/

