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392 lines
13 KiB
C
392 lines
13 KiB
C
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1 month ago
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/**********************************************************************
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*
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* GEOS - Geometry Engine Open Source
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* http://geos.osgeo.org
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*
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* Copyright (C) 2009 2011 Sandro Santilli <strk@kbt.io>
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* Copyright (C) 2005-2006 Refractions Research Inc.
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* Copyright (C) 2001-2002 Vivid Solutions Inc.
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*
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* This is free software; you can redistribute and/or modify it under
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* the terms of the GNU Lesser General Public Licence as published
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* by the Free Software Foundation.
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* See the COPYING file for more information.
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*
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**********************************************************************
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*
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* Last port: geom/LineSegment.java r18 (JTS-1.11)
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*
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**********************************************************************/
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#ifndef GEOS_GEOM_LINESEGMENT_H
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#define GEOS_GEOM_LINESEGMENT_H
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#include <geos/export.h>
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#include <geos/geom/Coordinate.h> // for composition
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#include <geos/inline.h>
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#include <array>
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#include <iostream> // for ostream
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#include <functional> // for std::hash
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#include <memory> // for unique_ptr
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// Forward declarations
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namespace geos {
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namespace geom {
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class CoordinateSequence;
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class GeometryFactory;
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class LineString;
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}
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}
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namespace geos {
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namespace geom { // geos::geom
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/**
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* Represents a line segment defined by two Coordinate.
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* Provides methods to compute various geometric properties
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* and relationships of line segments.
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*
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* This class is designed to be easily mutable (to the extent of
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* having its contained points public).
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* This supports a common pattern of reusing a single LineSegment
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* object as a way of computing segment properties on the
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* segments defined by arrays or lists of {@link Coordinate}s.
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*
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* TODO: have this class keep pointers rather then real Coordinates ?
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*/
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class GEOS_DLL LineSegment {
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public:
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friend std::ostream& operator<< (std::ostream& o, const LineSegment& l);
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Coordinate p0; /// Segment start
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Coordinate p1; /// Segment end
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LineSegment();
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/// Constructs a LineSegment with the given start and end Coordinates.
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LineSegment(const Coordinate& c0, const Coordinate& c1);
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LineSegment(double x0, double y0, double x1, double y1);
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void setCoordinates(const Coordinate& c0, const Coordinate& c1);
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// obsoleted, use operator[] instead
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//const Coordinate& getCoordinate(std::size_t i) const;
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const Coordinate& operator[](std::size_t i) const;
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Coordinate& operator[](std::size_t i);
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void setCoordinates(const LineSegment& ls);
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/// Computes the length of the line segment.
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double getLength() const;
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/// Tests whether the segment is horizontal.
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///
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/// @return <code>true</code> if the segment is horizontal
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///
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bool isHorizontal() const;
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/// Tests whether the segment is vertical.
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///
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/// @return <code>true</code> if the segment is vertical
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///
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bool isVertical() const;
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/**
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* Determines the orientation of a LineSegment relative to this segment.
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* The concept of orientation is specified as follows:
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* Given two line segments A and L,
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* <ul>
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* <li>A is to the left of a segment L if A lies wholly in the
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* closed half-plane lying to the left of L
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* <li>A is to the right of a segment L if A lies wholly in the
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* closed half-plane lying to the right of L
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* <li>otherwise, A has indeterminate orientation relative to L.
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* This happens if A is collinear with L or if A crosses
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* the line determined by L.
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* </ul>
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*
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* @param seg the LineSegment to compare
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*
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* @return 1 if seg is to the left of this segment
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* @return -1 if seg is to the right of this segment
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* @return 0 if seg has indeterminate orientation relative
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* to this segment
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*/
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int orientationIndex(const LineSegment& seg) const;
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// TODO: deprecate this
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int orientationIndex(const LineSegment* seg) const;
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/** \brief
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* Determines the orientation index of a Coordinate
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* relative to this segment.
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*
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* The orientation index is as defined in
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* Orientation::index.
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*
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* @param p the Coordinate to compare
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*
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* @return 1 if <code>p</code> is to the left of this segment
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* @return -1 if <code>p</code> is to the right of this segment
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* @return 0 if <code>p</code> is collinear with this segment
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*
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* @see Orientation::index(Coordinate, Coordinate,
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* Coordinate)
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*/
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int orientationIndex(const Coordinate& p) const;
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/// Reverses the direction of the line segment.
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void reverse();
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/// Puts the line segment into a normalized form.
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//
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/// This is useful for using line segments in maps and indexes when
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/// topological equality rather than exact equality is desired.
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///
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void normalize();
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/// @return the angle this segment makes with the x-axis (in radians)
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double angle() const;
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/// Computes the midpoint of the segment
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//
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/// @param ret will be set to the midpoint of the segment
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///
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void midPoint(Coordinate& ret) const;
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/// Computes the distance between this line segment and another one.
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double distance(const LineSegment& ls) const;
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/// Computes the distance between this line segment and a point.
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double distance(const Coordinate& p) const;
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/** \brief
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* Computes the perpendicular distance between the (infinite)
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* line defined by this line segment and a point.
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*/
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double distancePerpendicular(const Coordinate& p) const;
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/** \brief
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* Computes the Coordinate that lies a given
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* fraction along the line defined by this segment.
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*
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* A fraction of <code>0.0</code> returns the start point of
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* the segment; a fraction of <code>1.0</code> returns the end
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* point of the segment.
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* If the fraction is < 0.0 or > 1.0 the point returned
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* will lie before the start or beyond the end of the segment.
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*
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* @param segmentLengthFraction the fraction of the segment length
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* along the line
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* @param ret will be set to the point at that distance
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*/
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void pointAlong(double segmentLengthFraction, Coordinate& ret) const;
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/** \brief
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* Computes the {@link Coordinate} that lies a given
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* fraction along the line defined by this segment and offset from
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* the segment by a given distance.
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*
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* A fraction of <code>0.0</code> offsets
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* from the start point of the segment;
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* a fraction of <code>1.0</code> offsets
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* from the end point of the segment.
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*
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* The computed point is offset to the left of the line
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* if the offset distance is positive, to the right if negative.
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*
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* @param segmentLengthFraction the fraction of the segment
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* length along the line
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*
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* @param offsetDistance the distance the point is offset
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* from the segment
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* (positive is to the left, negative is to the right)
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*
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* @param ret will be set to the point at that distance and offset
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*
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* @throws IllegalStateException if the segment has zero length
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*/
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void pointAlongOffset(double segmentLengthFraction,
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double offsetDistance,
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Coordinate& ret) const;
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/** \brief
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* Compute the projection factor for the projection of the point p
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* onto this LineSegment.
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*
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* The projection factor is the constant r
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* by which the vector for this segment must be multiplied to
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* equal the vector for the projection of p on the line
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* defined by this segment.
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*
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* The projection factor returned will be in the range
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* (-inf, +inf)
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*
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* @param p the point to compute the factor for
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*
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* @return the projection factor for the point
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*
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*/
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double projectionFactor(const Coordinate& p) const;
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/** \brief
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* Computes the fraction of distance (in <tt>[0.0, 1.0]</tt>)
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* that the projection of a point occurs along this line segment.
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*
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* If the point is beyond either ends of the line segment,
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* the closest fractional value (<tt>0.0</tt> or <tt>1.0</tt>)
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* is returned.
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*
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* Essentially, this is the {@link #projectionFactor} clamped to
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* the range <tt>[0.0, 1.0]</tt>.
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*
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* @param inputPt the point
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* @return the fraction along the line segment the projection
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* of the point occurs
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*/
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double segmentFraction(const Coordinate& inputPt) const;
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/** \brief
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* Compute the projection of a point onto the line determined
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* by this line segment.
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*
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* Note that the projected point
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* may lie outside the line segment. If this is the case,
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* the projection factor will lie outside the range [0.0, 1.0].
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*/
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void project(const Coordinate& p, Coordinate& ret) const;
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/** \brief
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* Project a line segment onto this line segment and return the resulting
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* line segment.
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*
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* The returned line segment will be a subset of
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* the target line line segment. This subset may be null, if
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* the segments are oriented in such a way that there is no projection.
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*
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* Note that the returned line may have zero length (i.e. the same endpoints).
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* This can happen for instance if the lines are perpendicular to one another.
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*
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* @param seg the line segment to project
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* @param ret the projected line segment
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* @return true if there is an overlap, false otherwise
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*/
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bool project(const LineSegment& seg, LineSegment& ret) const;
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/// Computes the closest point on this line segment to another point.
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//
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/// @param p the point to find the closest point to
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/// @param ret the Coordinate to which the closest point on the line segment
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/// to the point p will be written
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///
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void closestPoint(const Coordinate& p, Coordinate& ret) const;
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/** \brief
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* Compares this object with the specified object for order.
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*
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* Uses the standard lexicographic ordering for the points in the LineSegment.
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*
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* @param other the LineSegment with which this LineSegment
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* is being compared
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* @return a negative integer, zero, or a positive integer as this
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* LineSegment is less than, equal to, or greater than the
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* specified LineSegment
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*/
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int compareTo(const LineSegment& other) const;
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/** \brief
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* Returns <code>true</code> if <code>other</code> is
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* topologically equal to this LineSegment (e.g. irrespective
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* of orientation).
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*
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* @param other a <code>LineSegment</code> with which to do the comparison.
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* @return true if other is a LineSegment
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* with the same values for the x and y ordinates.
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*/
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bool equalsTopo(const LineSegment& other) const;
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/**
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* Computes the closest points on two line segments.
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* @param line the line segment to find the closest points to
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* @return a pair of Coordinates which are the closest points on
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* the line segments.
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*/
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std::array<Coordinate, 2> closestPoints(const LineSegment& line);
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std::array<Coordinate, 2> closestPoints(const LineSegment* line);
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/**
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* Computes an intersection point between two segments,
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* if there is one.
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* There may be 0, 1 or many intersection points between two segments.
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* If there are 0, null is returned. If there is 1 or more, a single
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* one is returned (chosen at the discretion of the algorithm).
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* If more information is required about the details of the
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* intersection, the LineIntersector class should be used.
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*
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* @param line
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* @return intersection if found, setNull() otherwise
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*/
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Coordinate intersection(const LineSegment& line) const;
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/** \brief
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* Computes the intersection point of the lines defined
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* by two segments, if there is one.
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*
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* There may be 0, 1 or an infinite number of intersection points
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* between two lines.
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* If there is a unique intersection point, it is returned.
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* Otherwise, <tt>null</tt> is returned.
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* If more information is required about the details of the
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* intersection, the algorithms::LineIntersector class should
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* be used.
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*
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* @param line a line segment defining a straight line
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* @return intersection if found, setNull() otherwise
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*
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*/
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Coordinate lineIntersection(const LineSegment& line) const;
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/**
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* Creates a LineString with the same coordinates as this segment
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*
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* @param gf the geometery factory to use
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* @return a LineString with the same geometry as this segment
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*/
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std::unique_ptr<LineString> toGeometry(const GeometryFactory& gf) const;
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struct HashCode {
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size_t operator()(const LineSegment & s) const {
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size_t h = std::hash<double>{}(s.p0.x);
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h ^= (std::hash<double>{}(s.p0.y) << 1);
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h ^= (std::hash<double>{}(s.p1.x) << 1);
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return h ^ (std::hash<double>{}(s.p1.y) << 1);
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}
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};
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private:
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void project(double factor, Coordinate& ret) const;
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};
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std::ostream& operator<< (std::ostream& o, const LineSegment& l);
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/// Checks if two LineSegment are equal (2D only check)
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bool operator==(const LineSegment& a, const LineSegment& b);
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} // namespace geos::geom
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} // namespace geos
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#ifdef GEOS_INLINE
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# include "geos/geom/LineSegment.inl"
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#endif
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#endif // ndef GEOS_GEOM_LINESEGMENT_H
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