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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) 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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* Last port: algorithm/RobustLineIntersector.java r785 (JTS-1.13+) |
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* |
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**********************************************************************/ |
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#ifndef GEOS_ALGORITHM_LINEINTERSECTOR_H |
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#define GEOS_ALGORITHM_LINEINTERSECTOR_H |
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#include |
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#include |
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#include |
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// Forward declarations |
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namespace geos { |
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namespace geom { |
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class PrecisionModel; |
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} |
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} |
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namespace geos { |
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namespace algorithm { // geos::algorithm |
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/** \brief |
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* A LineIntersector is an algorithm that can both test whether |
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* two line segments intersect and compute the intersection point |
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* if they do. |
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* |
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* The intersection point may be computed in a precise or non-precise manner. |
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* Computing it precisely involves rounding it to an integer. (This assumes |
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* that the input coordinates have been made precise by scaling them to |
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* an integer grid.) |
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* |
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*/ |
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class GEOS_DLL LineIntersector { |
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public: |
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/// \brief |
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/// Return a Z value being the interpolation of Z from p0 and p1 at |
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/// the given point p |
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static double interpolateZ(const geom::Coordinate &p, const geom::Coordinate &p0, const geom::Coordinate &p1); |
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57
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58
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/// Computes the "edge distance" of an intersection point p in an edge. |
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// |
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/// The edge distance is a metric of the point along the edge. |
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/// The metric used is a robust and easy to compute metric function. |
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/// It is not equivalent to the usual Euclidean metric. |
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/// It relies on the fact that either the x or the y ordinates of the |
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/// points in the edge are unique, depending on whether the edge is longer in |
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/// the horizontal or vertical direction. |
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/// |
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/// NOTE: This function may produce incorrect distances |
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/// for inputs where p is not precisely on p1-p2 |
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/// (E.g. p = (139,9) p1 = (139,10), p2 = (280,1) produces distanct |
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/// 0.0, which is incorrect. |
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/// |
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/// My hypothesis is that the function is safe to use for points which are the |
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/// result of rounding points which lie on the line, |
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/// but not safe to use for truncated points. |
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/// |
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static double computeEdgeDistance(const geom::Coordinate& p, const geom::Coordinate& p0, const geom::Coordinate& p1); |
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static double nonRobustComputeEdgeDistance(const geom::Coordinate& p,const geom::Coordinate& p1,const geom::Coordinate& p2); |
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LineIntersector(const geom::PrecisionModel* initialPrecisionModel=nullptr) |
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: |
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precisionModel(initialPrecisionModel), |
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result(0), |
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isProperVar(false) |
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{} |
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~LineIntersector() {} |
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89
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/** \brief |
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* Tests whether either intersection point is an interior point of |
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* one of the input segments. |
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* |
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* @return true if either intersection point is in |
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* the interior of one of the input segments |
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*/ |
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bool isInteriorIntersection(); |
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/** \brief |
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* Tests whether either intersection point is an interior point |
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* of the specified input segment. |
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* |
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* @return true if either intersection point is in |
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* the interior of the input segment |
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*/ |
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bool isInteriorIntersection(int inputLineIndex); |
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/// Force computed intersection to be rounded to a given precision model. |
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// |
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/// No getter is provided, because the precision model is not required |
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/// to be specified. |
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/// @param precisionModel the PrecisionModel to use for rounding |
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/// |
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void setPrecisionModel(const geom::PrecisionModel *newPM) { |
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precisionModel=newPM; |
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3
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} |
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/// Compute the intersection of a point p and the line p1-p2. |
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// |
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/// This function computes the boolean value of the hasIntersection test. |
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/// The actual value of the intersection (if there is one) |
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/// is equal to the value of p. |
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/// |
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void computeIntersection(const geom::Coordinate& p, const geom::Coordinate& p1, const geom::Coordinate& p2); |
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/// Same as above but doen's compute intersection point. Faster. |
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static bool hasIntersection(const geom::Coordinate& p,const geom::Coordinate& p1,const geom::Coordinate& p2); |
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128
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// These are deprecated, due to ambiguous naming |
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enum { |
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DONT_INTERSECT=0, |
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DO_INTERSECT=1, |
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COLLINEAR=2 |
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}; |
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135
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enum { |
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/// Indicates that line segments do not intersect |
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NO_INTERSECTION=0, |
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/// Indicates that line segments intersect in a single point |
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POINT_INTERSECTION=1, |
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/// Indicates that line segments intersect in a line segment |
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COLLINEAR_INTERSECTION=2 |
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}; |
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146
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/// Computes the intersection of the lines p1-p2 and p3-p4 |
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void computeIntersection(const geom::Coordinate& p1, const geom::Coordinate& p2, |
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const geom::Coordinate& p3, const geom::Coordinate& p4); |
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150
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std::string toString() const; |
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152
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/** |
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* Tests whether the input geometries intersect. |
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* |
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* @return true if the input geometries intersect |
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*/ |
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bool hasIntersection() const { return result!=NO_INTERSECTION; } |
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159
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/// Returns the number of intersection points found. |
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// |
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/// This will be either 0, 1 or 2. |
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/// |
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2
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int getIntersectionNum() const { return result; } |
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165
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166
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/// Returns the intIndex'th intersection point |
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// |
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/// @param intIndex is 0 or 1 |
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/// |
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/// @return the intIndex'th intersection point |
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/// |
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const geom::Coordinate& getIntersection(int intIndex) const { |
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return intPt[intIndex]; |
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} |
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/// Returns false if both numbers are zero. |
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// |
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/// @return true if both numbers are positive or if both numbers are negative. |
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/// |
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static bool isSameSignAndNonZero(double a,double b); |
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182
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/** \brief |
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* Test whether a point is a intersection point of two line segments. |
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* |
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* Note that if the intersection is a line segment, this method only tests for |
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* equality with the endpoints of the intersection segment. |
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* It does not return true if |
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* the input point is internal to the intersection segment. |
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* |
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* @return true if the input point is one of the intersection points. |
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191
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*/ |
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192
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bool isIntersection(const geom::Coordinate& pt) const; |
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193
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194
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/** \brief |
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195
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* Tests whether an intersection is proper. |
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196
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* |
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* The intersection between two line segments is considered proper if |
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198
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* they intersect in a single point in the interior of both segments |
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* (e.g. the intersection is a single point and is not equal to any of the |
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200
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* endpoints). |
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201
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* |
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202
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* The intersection between a point and a line segment is considered proper |
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203
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* if the point lies in the interior of the segment (e.g. is not equal to |
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204
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* either of the endpoints). |
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205
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* |
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206
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* @return true if the intersection is proper |
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207
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*/ |
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208
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1
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bool isProper() const { |
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209
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1
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return hasIntersection()&&isProperVar; |
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50
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210
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} |
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211
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212
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/** \brief |
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213
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* Computes the intIndex'th intersection point in the direction of |
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214
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* a specified input line segment |
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215
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* |
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216
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* @param segmentIndex is 0 or 1 |
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217
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* @param intIndex is 0 or 1 |
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218
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* |
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* @return the intIndex'th intersection point in the direction of the |
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* specified input line segment |
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*/ |
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const geom::Coordinate& getIntersectionAlongSegment(int segmentIndex,int intIndex); |
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224
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/** \brief |
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* Computes the index of the intIndex'th intersection point in the direction of |
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* a specified input line segment |
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* |
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* @param segmentIndex is 0 or 1 |
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* @param intIndex is 0 or 1 |
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* |
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* @return the index of the intersection point along the segment (0 or 1) |
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*/ |
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int getIndexAlongSegment(int segmentIndex,int intIndex); |
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235
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/** \brief |
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* Computes the "edge distance" of an intersection point along the specified |
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* input line segment. |
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* |
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* @param segmentIndex is 0 or 1 |
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* @param intIndex is 0 or 1 |
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* |
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* @return the edge distance of the intersection point |
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*/ |
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double getEdgeDistance(int geomIndex,int intIndex) const; |
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246
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private: |
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248
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void intersectionWithNormalization(const geom::Coordinate& p1, |
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const geom::Coordinate& p2, |
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const geom::Coordinate& q1, |
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const geom::Coordinate& q2, |
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geom::Coordinate &ret) const; |
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254
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/** |
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* If makePrecise is true, computed intersection coordinates |
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* will be made precise using Coordinate#makePrecise |
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*/ |
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const geom::PrecisionModel *precisionModel; |
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260
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int result; |
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262
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const geom::Coordinate *inputLines[2][2]; |
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264
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/** |
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* We store real Coordinates here because |
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* we must compute the Z of intersection point. |
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*/ |
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geom::Coordinate intPt[2]; |
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270
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/** |
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* The indexes of the endpoints of the intersection lines, in order along |
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272
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* the corresponding line |
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*/ |
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int intLineIndex[2][2]; |
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275
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276
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bool isProperVar; |
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//Coordinate &pa; |
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//Coordinate &pb; |
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279
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280
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bool isCollinear() const { return result==COLLINEAR_INTERSECTION; } |
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281
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282
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int computeIntersect(const geom::Coordinate& p1,const geom::Coordinate& p2,const geom::Coordinate& q1,const geom::Coordinate& q2); |
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283
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284
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bool isEndPoint() const { |
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285
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return hasIntersection()&&!isProperVar; |
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286
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} |
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287
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288
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void computeIntLineIndex(); |
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289
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290
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void computeIntLineIndex(int segmentIndex); |
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291
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292
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int computeCollinearIntersection(const geom::Coordinate& p1, |
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293
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const geom::Coordinate& p2, const geom::Coordinate& q1, |
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294
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const geom::Coordinate& q2); |
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295
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296
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/** \brief |
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297
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* This method computes the actual value of the intersection point. |
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298
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* |
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299
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* To obtain the maximum precision from the intersection calculation, |
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300
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* the coordinates are normalized by subtracting the minimum |
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301
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* ordinate values (in absolute value). This has the effect of |
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302
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* removing common significant digits from the calculation to |
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303
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* maintain more bits of precision. |
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304
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*/ |
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305
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void intersection(const geom::Coordinate& p1, |
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306
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const geom::Coordinate& p2, |
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307
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const geom::Coordinate& q1, |
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308
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const geom::Coordinate& q2, |
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309
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geom::Coordinate &ret) const; |
|
310
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311
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double smallestInAbsValue(double x1, double x2, |
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312
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double x3, double x4) const; |
|
313
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|
314
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/** |
|
315
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|
* Test whether a point lies in the envelopes of both input segments. |
|
316
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* A correctly computed intersection point should return true |
|
317
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* for this test. |
|
318
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* Since this test is for debugging purposes only, no attempt is |
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319
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* made to optimize the envelope test. |
|
320
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* |
|
321
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|
* @return true if the input point lies within both |
|
322
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|
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|
* input segment envelopes |
|
323
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|
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|
*/ |
|
324
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|
bool isInSegmentEnvelopes(const geom::Coordinate& intPt) const; |
|
325
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|
326
|
|
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|
/** \brief |
|
327
|
|
|
|
|
|
|
* Normalize the supplied coordinates to |
|
328
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|
|
* so that the midpoint of their intersection envelope |
|
329
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|
* lies at the origin. |
|
330
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|
* |
|
331
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|
* @param n00 |
|
332
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|
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|
* @param n01 |
|
333
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|
* @param n10 |
|
334
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|
* @param n11 |
|
335
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|
* @param normPt |
|
336
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|
|
*/ |
|
337
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|
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|
|
void normalizeToEnvCentre(geom::Coordinate &n00, geom::Coordinate &n01, |
|
338
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|
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|
|
geom::Coordinate &n10, geom::Coordinate &n11, |
|
339
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|
geom::Coordinate &normPt) const; |
|
340
|
|
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|
341
|
|
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|
/** |
|
342
|
|
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|
|
* Computes a segment intersection using homogeneous coordinates. |
|
343
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|
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|
|
* Round-off error can cause the raw computation to fail, |
|
344
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|
* (usually due to the segments being approximately parallel). |
|
345
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|
* If this happens, a reasonable approximation is computed instead. |
|
346
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|
* |
|
347
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|
* @param p1 a segment endpoint |
|
348
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|
* @param p2 a segment endpoint |
|
349
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|
* @param q1 a segment endpoint |
|
350
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|
* @param q2 a segment endpoint |
|
351
|
|
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|
* @param intPt the computed intersection point is stored there |
|
352
|
|
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|
|
*/ |
|
353
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|
void safeHCoordinateIntersection(const geom::Coordinate& p1, |
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354
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|
const geom::Coordinate& p2, |
|
355
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|
const geom::Coordinate& q1, |
|
356
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|
const geom::Coordinate& q2, |
|
357
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|
geom::Coordinate& intPt) const; |
|
358
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359
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}; |
|
360
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361
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} // namespace geos::algorithm |
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362
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} // namespace geos |
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363
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364
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365
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#endif // GEOS_ALGORITHM_LINEINTERSECTOR_H |
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366
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