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/********************************************************************** * * GEOS - Geometry Engine Open Source * http://geos.osgeo.org * * Copyright (C) 2023 Paul Ramsey * 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. * **********************************************************************/ #pragma once #include #include #include #include // Forward declarations namespace geos { namespace geom { class GeometryFactory; class Geometry; class LineString; class CoordinateSequence; } } namespace geos { namespace algorithm { // geos::algorithm /** \brief * Computes the minimum diameter of a geom::Geometry * * The minimum diameter is defined to be the width of the smallest band that * contains the geometry, where a band is a strip of the plane defined * by two parallel lines. This can be thought of as the smallest hole * that the geometry can be moved through, with a single rotation. * * The first step in the algorithm is computing the convex hull of the Geometry. * If the input Geometry is known to be convex, a hint can be supplied to * avoid this computation. * * This class can also be used to compute a line segment representing * the minimum diameter, the supporting line segment of the minimum diameter, * and a minimum-width rectangle of the input geometry. * This rectangle will have width equal to the minimum diameter, and have * one side parallel to the supporting segment. * * In degenerate cases the rectangle may be a LineString or a Point. * (Note that this may not be the enclosing rectangle with minimum area; * use MinimumAreaRectangle to compute this.) * * @see ConvexHull * @see MinimumAreaRectangle */ class GEOS_DLL MinimumDiameter { private: const geom::Geometry* inputGeom; bool isConvex; std::unique_ptr convexHullPts; geom::LineSegment minBaseSeg; geom::Coordinate minWidthPt; std::size_t minPtIndex; double minWidth; void computeMinimumDiameter(); void computeWidthConvex(const geom::Geometry* geom); /** * Compute the width information for a ring of Coordinate. * Leaves the width information in the instance variables. * * @param pts * @return */ void computeConvexRingMinDiameter(const geom::CoordinateSequence* pts); unsigned int findMaxPerpDistance(const geom::CoordinateSequence* pts, const geom::LineSegment* seg, unsigned int startIndex); static unsigned int getNextIndex(const geom::CoordinateSequence* pts, unsigned int index); static double computeC(double a, double b, const geom::Coordinate& p); static geom::LineSegment computeSegmentForLine(double a, double b, double c); static std::unique_ptr computeMaximumLine( const geom::CoordinateSequence* pts, const geom::GeometryFactory* factory); public: ~MinimumDiameter() = default; /** \brief * Compute a minimum diameter for a given [Geometry](@ref geom::Geometry). * * @param newInputGeom a Geometry */ MinimumDiameter(const geom::Geometry* newInputGeom); /** \brief * Compute a minimum diameter for a given Geometry, * with a hint if the Geometry is convex * (e.g. a convex Polygon or LinearRing, * or a two-point LineString, or a Point). * * @param newInputGeom a Geometry which is convex * @param newIsConvex `true` if the input geometry is convex */ MinimumDiameter(const geom::Geometry* newInputGeom, const bool newIsConvex); /** \brief * Gets the length of the minimum diameter of the input Geometry. * * @return the length of the minimum diameter */ double getLength(); /** \brief * Gets the geom::Coordinate forming one end of the minimum diameter. * * @return a coordinate forming one end of the minimum diameter */ const geom::Coordinate& getWidthCoordinate(); /** \brief * Gets the segment forming the base of the minimum diameter. * * @return the segment forming the base of the minimum diameter */ std::unique_ptr getSupportingSegment(); /** \brief * Gets a LineString which is a minimum diameter. * * @return a LineString which is a minimum diameter */ std::unique_ptr getDiameter(); /** \brief * Gets the rectangular Polygon which encloses the input geometry * and is based on the minimum diameter supporting segment. * * The rectangle has width equal to the minimum diameter, and a longer * length. If the convex hill of the input is degenerate (a line or point) * a LineString or Point is returned. * This is not necessarily the rectangle with minimum area. * Use MinimumAreaRectangle to compute this. * * @return the the minimum-width rectangle enclosing the geometry * @see MinimumAreaRectangle */ std::unique_ptr getMinimumRectangle(); /** \brief * Gets the minimum rectangle enclosing a geometry. * * @param geom the geometry * @return a rectangle enclosing the input (or a line or point if degenerate) * @see MinimumAreaRectangle */ static std::unique_ptr getMinimumRectangle(geom::Geometry* geom); /** \brief * Gets the length of the minimum diameter enclosing a geometry. * @param geom the geometry * @return the length of the minimum diameter of the geometry */ static std::unique_ptr getMinimumDiameter(geom::Geometry* geom); }; } // namespace geos::algorithm } // namespace geos