EVOLUTION-MANAGER
Edit File: LineSegment.cpp
/********************************************************************** * * GEOS - Geometry Engine Open Source * http://geos.osgeo.org * * Copyright (C) 2009 2011 Sandro Santilli <strk@kbt.io> * 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. * ********************************************************************** * * Last port: geom/LineSegment.java r18 (JTS-1.11) * **********************************************************************/ #include <geos/constants.h> #include <geos/geom/LineSegment.h> #include <geos/geom/LineString.h> // for toGeometry #include <geos/geom/Coordinate.h> #include <geos/geom/CoordinateSequence.h> #include <geos/geom/CoordinateSequenceFactory.h> #include <geos/geom/GeometryFactory.h> #include <geos/algorithm/Orientation.h> #include <geos/algorithm/LineIntersector.h> #include <geos/algorithm/Intersection.h> #include <geos/util/IllegalStateException.h> #include <geos/profiler.h> #include <geos/inline.h> #include <algorithm> // for max #include <sstream> #include <cmath> #ifndef GEOS_INLINE # include <geos/geom/LineSegment.inl> #endif namespace geos { namespace geom { // geos::geom /*public*/ void LineSegment::reverse() { std::swap(p0, p1); } /*public*/ double LineSegment::projectionFactor(const Coordinate& p) const { if(p == p0) { return 0.0; } if(p == p1) { return 1.0; } // Otherwise, use comp.graphics.algorithms Frequently Asked Questions method /*(1) AC dot AB r = --------- ||AB||^2 r has the following meaning: r=0 P = A r=1 P = B r<0 P is on the backward extension of AB r>1 P is on the forward extension of AB 0<r<1 P is interior to AB */ double dx = p1.x - p0.x; double dy = p1.y - p0.y; double len2 = dx * dx + dy * dy; double r = ((p.x - p0.x) * dx + (p.y - p0.y) * dy) / len2; return r; } /*public*/ double LineSegment::segmentFraction(const Coordinate& inputPt) const { double segFrac = projectionFactor(inputPt); if(segFrac < 0.0) { segFrac = 0.0; } else if(segFrac > 1.0) { segFrac = 1.0; } return segFrac; } /*public*/ void LineSegment::project(const Coordinate& p, Coordinate& ret) const { if(p == p0 || p == p1) { ret = p; } double r = projectionFactor(p); ret = Coordinate(p0.x + r * (p1.x - p0.x), p0.y + r * (p1.y - p0.y)); } bool LineSegment::project(const LineSegment& seg, LineSegment& ret) const { double pf0 = projectionFactor(seg.p0); double pf1 = projectionFactor(seg.p1); // check if segment projects at all if(pf0 >= 1.0 && pf1 >= 1.0) { return false; } if(pf0 <= 0.0 && pf1 <= 0.0) { return false; } Coordinate newp0; project(seg.p0, newp0); Coordinate newp1; project(seg.p1, newp1); ret.setCoordinates(newp0, newp1); return true; } //Coordinate* void LineSegment::closestPoint(const Coordinate& p, Coordinate& ret) const { double factor = projectionFactor(p); if(factor > 0 && factor < 1) { project(p, ret); return; } double dist0 = p0.distance(p); double dist1 = p1.distance(p); if(dist0 < dist1) { ret = p0; return; } ret = p1; } /*public*/ int LineSegment::compareTo(const LineSegment& other) const { int comp0 = p0.compareTo(other.p0); if(comp0 != 0) { return comp0; } return p1.compareTo(other.p1); } /*public*/ bool LineSegment::equalsTopo(const LineSegment& other) const { return (p0 == other.p0 && p1 == other.p1) || (p0 == other.p1 && p1 == other.p0); } /*public*/ int LineSegment::orientationIndex(const LineSegment& seg) const { int orient0 = algorithm::Orientation::index(p0, p1, seg.p0); int orient1 = algorithm::Orientation::index(p0, p1, seg.p1); // this handles the case where the points are L or collinear if(orient0 >= 0 && orient1 >= 0) { return std::max(orient0, orient1); } // this handles the case where the points are R or collinear if(orient0 <= 0 && orient1 <= 0) { return std::max(orient0, orient1); } // points lie on opposite sides ==> indeterminate orientation return 0; } std::array<Coordinate, 2> LineSegment::closestPoints(const LineSegment& line) { // test for intersection Coordinate intPt = intersection(line); if(!intPt.isNull()) { return { intPt, intPt }; } /* * if no intersection closest pair contains at least one endpoint. * Test each endpoint in turn. */ std::array<Coordinate, 2> closestPt; double minDistance = DoubleMax; double dist; Coordinate close00; closestPoint(line.p0, close00); minDistance = close00.distance(line.p0); closestPt[0] = close00; closestPt[1] = line.p0; Coordinate close01; closestPoint(line.p1, close01); dist = close01.distance(line.p1); if(dist < minDistance) { minDistance = dist; closestPt[0] = close01; closestPt[1] = line.p1; } Coordinate close10; line.closestPoint(p0, close10); dist = close10.distance(p0); if(dist < minDistance) { minDistance = dist; closestPt[0] = p0; closestPt[1] = close10; } Coordinate close11; line.closestPoint(p1, close11); dist = close11.distance(p1); if(dist < minDistance) { minDistance = dist; closestPt[0] = p1; closestPt[1] = close11; } return closestPt; } Coordinate LineSegment::intersection(const LineSegment& line) const { algorithm::LineIntersector li; li.computeIntersection(p0, p1, line.p0, line.p1); if(li.hasIntersection()) { return li.getIntersection(0); } Coordinate rv; rv.setNull(); return rv; } Coordinate LineSegment::lineIntersection(const LineSegment& line) const { return algorithm::Intersection::intersection(p0, p1, line.p0, line.p1); } /* public */ void LineSegment::pointAlongOffset(double segmentLengthFraction, double offsetDistance, Coordinate& ret) const { // the point on the segment line double segx = p0.x + segmentLengthFraction * (p1.x - p0.x); double segy = p0.y + segmentLengthFraction * (p1.y - p0.y); double dx = p1.x - p0.x; double dy = p1.y - p0.y; double len = sqrt(dx * dx + dy * dy); double ux = 0.0; double uy = 0.0; if(offsetDistance != 0.0) { if(len <= 0.0) { throw util::IllegalStateException("Cannot compute offset from zero-length line segment"); } // u is the vector that is the length of the offset, // in the direction of the segment ux = offsetDistance * dx / len; uy = offsetDistance * dy / len; } // the offset point is the seg point plus the offset // vector rotated 90 degrees CCW double offsetx = segx - uy; double offsety = segy + ux; ret = Coordinate(offsetx, offsety); } /* public */ std::unique_ptr<LineString> LineSegment::toGeometry(const GeometryFactory& gf) const { auto cl = gf.getCoordinateSequenceFactory()->create(2, 0); cl->setAt(p0, 0); cl->setAt(p1, 1); return gf.createLineString(std::move(cl)); } } // namespace geos::geom } // namespace geos