rewrite calculation of bounding circle using coslat-transformed lon-values.
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ntruchsess
parent
c1048ab62a
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2 changed files with 322 additions and 241 deletions
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@ -1,19 +1,25 @@
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/*
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* Copyright 2018 Norbert Truchsess <norbert.truchsess@t-online.de>
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*
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* this code is based on work of Dan Sunday published at:
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* http://geomalgorithms.com/a03-_inclusion.html
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* (implementation of winding number algorithm in c)
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* http://geomalgorithms.com/a08-_containers.html
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* (fast computation of bounding circly in c)
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*
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* Copyright 2001 softSurfer, 2012 Dan Sunday
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* This code may be freely used and modified for any purpose providing that
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* this copyright notice is included with it. SoftSurfer makes no warranty for
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* this code, and cannot be held liable for any real or imagined damage
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* resulting from its use. Users of this code must verify correctness for
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* their application.
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*/
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/**********************************************************************************************
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Copyright (C) 2018 Norbert Truchsess norbert.truchsess@t-online.de
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see <http://www.gnu.org/licenses/>.
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The following methods are based on work of Dan Sunday published at:
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http://geomalgorithms.com/a03-_inclusion.html
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cn_PnPoly, wn_PnPoly, inSegment, intersect2D_2Segments
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**********************************************************************************************/
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package btools.router;
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import java.util.ArrayList;
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@ -21,266 +27,297 @@ import java.util.List;
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public class OsmNogoPolygon extends OsmNodeNamed
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{
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public final class Point {
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/**
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* The latitude
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*/
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public final int y;
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private final static class Point
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{
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final int y;
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final int x;
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/**
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* The longitude
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*/
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public final int x;
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public Point(final int lon, final int lat)
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Point(final int lon, final int lat)
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{
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x = lon;
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y = lat;
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}
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}
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public List<Point> P = new ArrayList<Point>();
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private final List<Point> points = new ArrayList<Point>();
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public void addVertex(int lon, int lat)
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public final void addVertex(int lon, int lat)
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{
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P.add(new Point(lon, lat));
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points.add(new Point(lon, lat));
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}
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private final static double coslat(double lat)
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{
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final double l = (lat - 90000000) * 0.00000001234134; // 0.01234134 = Pi/(sqrt(2)*180)
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final double l2 = l*l;
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final double l4 = l2*l2;
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// final double l6 = l4*l2;
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return 1.- l2 + l4 / 6.; // - l6 / 90;
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}
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/**
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* method calcBoundingCircle is inspired by the algorithm described on
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* http://geomalgorithms.com/a08-_containers.html
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* (fast computation of bounding circly in c). It is not as fast (the original
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* algorithm runs in linear time), as it may do more iterations but it takes
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* into account the coslat-factor being used for the linear approximation that
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* is also used in other places of brouter does change when moving the centerpoint
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* with each iteration.
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* This is done to ensure the calculated radius being used
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* in RoutingContext.calcDistance will actually contain the whole polygon.
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*
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* For reasonable distributed vertices the implemented algorithm runs in O(n*ln(n)).
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* As this is only run once on initialization of OsmNogoPolygon this methods
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* overall usage of cpu is neglegible in comparism to the cpu-usage of the
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* actual routing algoritm.
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*/
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public void calcBoundingCircle()
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{
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double Cx, Cy; // Center of ball
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double rad, rad2; // radius and radius squared
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double xmin, xmax, ymin, ymax; // bounding box extremes
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int i_xmin, i_xmax, i_ymin, i_ymax; // index of P[] at box extreme
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int cxmin, cxmax, cymin, cymax;
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cxmin = cymin = Integer.MAX_VALUE;
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cxmax = cymax = Integer.MIN_VALUE;
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// find a large diameter to start with
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// first get the bounding box and P[] extreme points for it
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xmin = xmax = P.get(0).x;
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ymin = ymax = P.get(0).y;
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i_xmin = i_xmax = i_ymin = i_ymax = 0;
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for (int i = 1; i < P.size(); i++)
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// first calculate a starting center point as center of boundingbox
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for (int i = 0; i < points.size(); i++)
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{
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Point Pi = P.get(i);
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if (Pi.x < xmin)
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final Point p = points.get(i);
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if (p.x < cxmin)
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{
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xmin = Pi.x;
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i_xmin = i;
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cxmin = p.x;
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}
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else if (Pi.x > xmax)
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else if (p.x > cxmax)
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{
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xmax = Pi.x;
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i_xmax = i;
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cxmax = p.x;
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}
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if (Pi.y < ymin)
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if (p.y < cymin)
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{
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ymin = Pi.y;
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i_ymin = i;
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cymin = p.y;
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}
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else if (Pi.y > ymax)
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else if (p.y > cymax)
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{
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ymax = Pi.y;
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i_ymax = i;
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cymax = p.y;
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}
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}
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// select the largest extent as an initial diameter for the ball
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Point Pi_xmax = P.get(i_xmax);
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Point Pi_xmin = P.get(i_xmin);
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Point Pi_ymax = P.get(i_ymax);
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Point Pi_ymin = P.get(i_ymin);
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int dPx_x = (Pi_xmax.x - Pi_xmin.x); // diff of Px max and min
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int dPx_y = Pi_xmax.y - Pi_xmin.y;
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double cx = (cxmax+cxmin) / 2.0; // center of circle
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double cy = (cymax+cymin) / 2.0;
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double ccoslat = coslat(cy); // cosin at latitude of center
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double rad = 0; // radius
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double rad2 = 0; // radius squared;
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int dPy_x = Pi_ymax.x - Pi_ymin.x; // diff of Py max and min
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int dPy_y = Pi_ymax.y - Pi_ymin.y;
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double dpx = 0; // x-xomponent of vector from center to point
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double dpy = 0; // y-component
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double dmax2 = 0; // squared lenght of vector from center to point
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int i_max = -1;
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int dx2 = dPx_x * dPx_x + dPx_y * dPx_y; // Px diff squared
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int dy2 = dPy_x * dPy_x + dPy_y * dPy_y; // Py diff squared
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if (dx2 >= dy2) // x direction is largest extent
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do
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{ // now identify the point outside of the circle that has the greatest distance
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for (int i = 0; i < points.size();i++)
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{
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Cx = Pi_xmin.x + dPx_x / 2.0; // Center = midpoint of extremes
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Cy = Pi_xmin.y + dPx_x / 2.0;
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double dPC_x = Pi_xmax.x - Cx;
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double dPC_y = Pi_xmax.y - Cy;
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rad2 = dPC_x * dPC_x + dPC_y * dPC_y; // radius squared
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}
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else // y direction is largest extent
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{
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Cx = Pi_ymin.x + dPy_x / 2.0; // Center = midpoint of extremes
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Cy = Pi_ymin.y + dPy_y / 2.0;
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double dPC_x = Pi_ymax.x - Cx;
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double dPC_y = Pi_ymax.y - Cy;
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rad2 = dPC_x * dPC_x + dPC_y * dPC_y; // radius squared
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}
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rad = Math.sqrt(rad2);
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// now check that all points P[i] are in the ball
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// and if not, expand the ball just enough to include them
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double dist, dist2;
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for (int i = 0; i < P.size(); i++)
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{
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Point Pi = P.get(i);
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double dPC_x = Pi.x - Cx;
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double dPC_y = Pi.y - Cy;
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dist2 = dPC_x * dPC_x + dPC_y * dPC_y;
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if (dist2 <= rad2) // P[i] is inside the ball already
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final Point p = points.get(i);
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final double dpix = (p.x - cx) * ccoslat;
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final double dpiy = p.y-cy;
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final double dist2 = dpix * dpix + dpiy * dpiy;
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if (dist2 <= rad2)
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{
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continue;
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}
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// P[i] not in ball, so expand ball to include it
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dist = Math.sqrt(dist2);
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rad = (rad + dist) / 2.0; // enlarge radius just enough
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rad2 = rad * rad;
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double dd = (dist - rad) / dist;
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Cx = Cx + dd * dPC_x; // shift Center toward
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Cy = Cy + dd * dPC_y;
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if (dist2 > dmax2)
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{
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dmax2 = dist2; // new maximum distance found
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dpx = dpix;
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dpy = dpiy;
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i_max = i;
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}
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ilon = (int) Math.round(Cx);
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ilat = (int) Math.round(Cy);
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}
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if (i_max < 0)
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{
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break; // leave loop when no point outside the circle is found any more.
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}
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final double dist = Math.sqrt(dmax2);
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final double dd = 0.5 * (dist - rad) / dist;
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cx = cx + dd * dpx; // shift center toward point
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cy = cy + dd * dpy;
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ccoslat = coslat(cy);
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final Point p = points.get(i_max); // calculate new radius to just include this point
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final double dpix = (p.x - cx) * ccoslat;
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final double dpiy = p.y-cy;
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dmax2 = rad2 = dpix * dpix + dpiy * dpiy;
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rad = Math.sqrt(rad2);
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i_max = -1;
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}
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while (true);
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ilon = (int) Math.round(cx);
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ilat = (int) Math.round(cy);
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dpx = cx - ilon; // rounding error
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dpy = cy - ilat;
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// compensate rounding error of center-point
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radius = rad + Math.max(Math.abs(Cx - ilon), Math.abs(Cy - ilat));
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radius = rad + Math.sqrt(dpx * dpx + dpy * dpy);
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return;
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}
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public boolean intersectsOrIsWithin(int lon0, int lat0, int lon1, int lat1)
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{
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Point P0 = new Point (lon0,lat0);
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Point P1 = new Point (lon1,lat1);
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Point p0 = new Point (lon0,lat0);
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Point p1 = new Point (lon1,lat1);
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// is start or endpoint within polygon?
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if ((wn_PnPoly(P0, P) > 0) || (wn_PnPoly(P1, P) > 0))
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if ((wn_PnPoly(p0, points) > 0) || (wn_PnPoly(p1, points) > 0))
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{
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return true;
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}
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Point P2 = P.get(0);
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for (int i = 1; i < P.size(); i++)
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int i_last = points.size()-1;
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Point p2 = points.get(i_last);
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for (int i = 0; i <= i_last; i++)
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{
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Point P3 = P.get(i);
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Point p3 = points.get(i);
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// does it intersect with at least one of the polygon's segments?
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if (intersect2D_2Segments(P0,P1,P2,P3) > 0)
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if (intersect2D_2Segments(p0,p1,p2,p3) > 0)
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{
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return true;
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}
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P2 = P3;
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p2 = p3;
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}
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return false;
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}
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/**
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* isLeft(): tests if a point is Left|On|Right of an infinite line. Input:
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* three points P0, P1, and P2 Return: >0 for P2 left of the line through P0
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* and P1 =0 for P2 on the line <0 for P2 right of the line See: Algorithm 1
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* "Area of Triangles and Polygons"
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*/
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private static int isLeft(Point P0, Point P1, Point P2) {
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return ((P1.x - P0.x) * (P2.y - P0.y) - (P2.x - P0.x) * (P1.y - P0.y));
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}
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/**
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* Copyright 2001 softSurfer, 2012 Dan Sunday
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* This code may be freely used and modified for any purpose providing that
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* this copyright notice is included with it. SoftSurfer makes no warranty for
|
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* this code, and cannot be held liable for any real or imagined damage
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* resulting from its use. Users of this code must verify correctness for
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* their application.
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*
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* cn_PnPoly(): crossing number test for a point in a polygon Input: P = a
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* point, V[] = vertex points of a polygon V[n+1] with V[n]=V[0] Return: 0 =
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* outside, 1 = inside This code is patterned after [Franklin, 2000]
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*/
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private static boolean cn_PnPoly(Point P, List<Point> V)
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private static boolean cn_PnPoly(final Point p, final List<Point> v)
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{
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int cn = 0; // the crossing number counter
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// loop through all edges of the polygon
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int last = V.size()-1;
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Point Vi = V.get(last);
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int last = v.size()-1;
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Point v0 = v.get(last);
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for (int i = 0; i <= last; i++) // edge from V[i] to V[i+1]
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{
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Point Vi1 = V.get(i);
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Point v1 = v.get(i);
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if (((Vi.y <= P.y) && (Vi1.y > P.y)) // an upward crossing
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|| ((Vi.y > P.y) && (Vi1.y <= P.y))) // a downward crossing
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if (((v0.y <= p.y) && (v1.y > p.y)) // an upward crossing
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|| ((v0.y > p.y) && (v1.y <= p.y))) // a downward crossing
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{
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// compute the actual edge-ray intersect x-coordinate
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float vt = (float) (P.y - Vi.y) / (Vi1.y - Vi.y);
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double vt = (double) (p.y - v0.y) / (v1.y - v0.y);
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if (P.x < Vi.x + vt * (Vi1.x - Vi.x)) // P.x < intersect
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if (p.x < v0.x + vt * (v1.x - v0.x)) // P.x < intersect
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{
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++cn; // a valid crossing of y=P.y right of P.x
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}
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}
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Vi = Vi1;
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v0 = v1;
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}
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return ((cn & 1) > 0); // 0 if even (out), and 1 if odd (in)
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}
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/**
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* Copyright 2001 softSurfer, 2012 Dan Sunday
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* This code may be freely used and modified for any purpose providing that
|
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* this copyright notice is included with it. SoftSurfer makes no warranty for
|
||||
* this code, and cannot be held liable for any real or imagined damage
|
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* resulting from its use. Users of this code must verify correctness for
|
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* their application.
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*
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* wn_PnPoly(): winding number test for a point in a polygon Input: P = a
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* point, V = vertex points of a polygon V[n+1] with V[n]=V[0] Return: wn =
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* the winding number (=0 only when P is outside)
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*/
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private static int wn_PnPoly(Point P, List<Point> V) {
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private static int wn_PnPoly(final Point p, final List<Point> v) {
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int wn = 0; // the winding number counter
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// loop through all edges of the polygon
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int last = V.size()-1;
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Point Vi = V.get(last);
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for (int i = 0; i <= last; i++) // edge from V[i] to V[i+1]
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{
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Point Vi1 = V.get(i);
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final int px = p.x;
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final int py = p.y;
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if (Vi.y <= P.y) { // start y <= P.y
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if (Vi1.y > P.y) { // an upward crossing
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if (isLeft(Vi, Vi1, P) > 0) { // P left of edge
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// loop through all edges of the polygon
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final int i_last = v.size()-1;
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final Point p0 = v.get(i_last);
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long p0x = p0.x; // need to use long to avoid overflow in products
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long p0y = p0.y;
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for (int i = 0; i <= i_last; i++) // edge from v[i] to v[i+1]
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{
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final Point p1 = v.get(i);
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final long p1x = p1.x;
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final long p1y = p1.y;
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if (p0y <= py) // start y <= p.y
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{
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if (p1y > py) // an upward crossing
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{ // p left of edge
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if (((p1x - p0x) * (py - p0y) - (px - p0x) * (p1y - p0y)) > 0)
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{
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++wn; // have a valid up intersect
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}
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}
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} else { // start y > P.y (no test needed)
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if (Vi1.y <= P.y) { // a downward crossing
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if (isLeft(Vi, Vi1, P) < 0) { // P right of edge
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} else { // start y > p.y (no test needed)
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if (p1y <= py) // a downward crossing
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{ // p right of edge
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if (((p1x - p0x) * (py - p0y) - (px - p0x) * (p1y - p0y)) < 0)
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{
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--wn; // have a valid down intersect
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}
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}
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}
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Vi = Vi1;
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p0x = p1x;
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p0y = p1y;
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}
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return wn;
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}
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/**
|
||||
* Copyright 2001 softSurfer, 2012 Dan Sunday
|
||||
* This code may be freely used and modified for any purpose providing that
|
||||
* this copyright notice is included with it. SoftSurfer makes no warranty for
|
||||
* this code, and cannot be held liable for any real or imagined damage
|
||||
* resulting from its use. Users of this code must verify correctness for
|
||||
* their application.
|
||||
*
|
||||
* inSegment(): determine if a point is inside a segment
|
||||
* Input: a point P, and a collinear segment S
|
||||
* Return: 1 = P is inside S
|
||||
* 0 = P is not inside S
|
||||
*/
|
||||
private static boolean inSegment( final Point p, final Point seg_p0, final Point seg_p1)
|
||||
{
|
||||
final int sp0x = seg_p0.x;
|
||||
final int sp1x = seg_p1.x;
|
||||
|
||||
private static boolean inSegment( Point P, Point SP0, Point SP1)
|
||||
if (sp0x != sp1x) // S is not vertical
|
||||
{
|
||||
if (SP0.x != SP1.x) // S is not vertical
|
||||
{
|
||||
if (SP0.x <= P.x && P.x <= SP1.x)
|
||||
final int px = p.x;
|
||||
if (sp0x <= px && px <= sp1x)
|
||||
{
|
||||
return true;
|
||||
}
|
||||
if (SP0.x >= P.x && P.x >= SP1.x)
|
||||
if (sp0x >= px && px >= sp1x)
|
||||
{
|
||||
return true;
|
||||
}
|
||||
}
|
||||
else // S is vertical, so test y coordinate
|
||||
{
|
||||
if (SP0.y <= P.y && P.y <= SP1.y)
|
||||
final int sp0y = seg_p0.y;
|
||||
final int sp1y = seg_p1.y;
|
||||
final int py = p.y;
|
||||
|
||||
if (sp0y <= py && py <= sp1y)
|
||||
{
|
||||
return true;
|
||||
}
|
||||
if (SP0.y >= P.y && P.y >= SP1.y)
|
||||
if (sp0y >= py && py >= sp1y)
|
||||
{
|
||||
return true;
|
||||
}
|
||||
|
|
@ -289,25 +326,32 @@ public class OsmNogoPolygon extends OsmNodeNamed
|
|||
}
|
||||
|
||||
/**
|
||||
* Copyright 2001 softSurfer, 2012 Dan Sunday
|
||||
* This code may be freely used and modified for any purpose providing that
|
||||
* this copyright notice is included with it. SoftSurfer makes no warranty for
|
||||
* this code, and cannot be held liable for any real or imagined damage
|
||||
* resulting from its use. Users of this code must verify correctness for
|
||||
* their application.
|
||||
*
|
||||
* intersect2D_2Segments(): find the 2D intersection of 2 finite segments
|
||||
* Input: two finite segments S1 and S2
|
||||
* Return: 0=disjoint (no intersect)
|
||||
* 1=intersect in unique point I0
|
||||
* 2=overlap in segment from I0 to I1
|
||||
*/
|
||||
private static int intersect2D_2Segments( Point S1P0, Point S1P1, Point S2P0, Point S2P1 )
|
||||
private static int intersect2D_2Segments( final Point s1p0, final Point s1p1, final Point s2p0, final Point s2p1 )
|
||||
{
|
||||
int ux = S1P1.x - S1P0.x; // vector u = S1P1-S1P0 (segment 1)
|
||||
int uy = S1P1.y - S1P0.y;
|
||||
int vx = S2P1.x - S2P0.x; // vector v = S2P1-S2P0 (segment 2)
|
||||
int vy = S2P1.y - S2P0.y;
|
||||
int wx = S1P0.x - S2P0.x; // vector w = S1P0-S2P0 (from start of segment 2 to start of segment 1
|
||||
int wy = S1P0.y - S2P0.y;
|
||||
final long ux = s1p1.x - s1p0.x; // vector u = S1P1-S1P0 (segment 1)
|
||||
final long uy = s1p1.y - s1p0.y;
|
||||
final long vx = s2p1.x - s2p0.x; // vector v = S2P1-S2P0 (segment 2)
|
||||
final long vy = s2p1.y - s2p0.y;
|
||||
final long wx = s1p0.x - s2p0.x; // vector w = S1P0-S2P0 (from start of segment 2 to start of segment 1
|
||||
final long wy = s1p0.y - s2p0.y;
|
||||
|
||||
int D = ux * vy - uy * vx;
|
||||
final double d = ux * vy - uy * vx;
|
||||
|
||||
// test if they are parallel (includes either being a point)
|
||||
if (D == 0) // S1 and S2 are parallel
|
||||
if (d == 0) // S1 and S2 are parallel
|
||||
{
|
||||
if ((ux * wy - uy * wx) != 0 || (vx * wy - vy * wx) != 0)
|
||||
{
|
||||
|
|
@ -316,24 +360,24 @@ public class OsmNogoPolygon extends OsmNodeNamed
|
|||
|
||||
// they are collinear or degenerate
|
||||
// check if they are degenerate points
|
||||
boolean du = ux == 0 && uy == 0;
|
||||
boolean dv = vx == 0 && vy == 0;
|
||||
final boolean du = ((ux == 0) && (uy == 0));
|
||||
final boolean dv = ((vx == 0) && (vy == 0));
|
||||
if (du && dv) // both segments are points
|
||||
{
|
||||
return (wx == 0 && wy == 0) ? 0 : 1; // return 0 if they are distinct points
|
||||
}
|
||||
if (du) // S1 is a single point
|
||||
{
|
||||
return inSegment(S1P0, S2P0, S2P1) ? 1 : 0; // is it part of S2?
|
||||
return inSegment(s1p0, s2p0, s2p1) ? 1 : 0; // is it part of S2?
|
||||
}
|
||||
if (dv) // S2 a single point
|
||||
{
|
||||
return inSegment(S2P0, S1P0, S1P1) ? 1 : 0; // is it part of S1?
|
||||
return inSegment(s2p0, s1p0, s1p1) ? 1 : 0; // is it part of S1?
|
||||
}
|
||||
// they are collinear segments - get overlap (or not)
|
||||
float t0, t1; // endpoints of S1 in eqn for S2
|
||||
int w2x = S1P1.x - S2P0.x; // vector w2 = S1P1-S2P0 (from start of segment 2 to end of segment 1)
|
||||
int w2y = S1P1.y - S2P0.y;
|
||||
double t0, t1; // endpoints of S1 in eqn for S2
|
||||
final int w2x = s1p1.x - s2p0.x; // vector w2 = S1P1-S2P0 (from start of segment 2 to end of segment 1)
|
||||
final int w2y = s1p1.y - s2p0.y;
|
||||
if (vx != 0)
|
||||
{
|
||||
t0 = wx / vx;
|
||||
|
|
@ -346,7 +390,7 @@ public class OsmNogoPolygon extends OsmNodeNamed
|
|||
}
|
||||
if (t0 > t1) // must have t0 smaller than t1
|
||||
{
|
||||
float t=t0; // swap if not
|
||||
final double t=t0; // swap if not
|
||||
t0=t1;
|
||||
t1=t;
|
||||
}
|
||||
|
|
@ -363,14 +407,14 @@ public class OsmNogoPolygon extends OsmNodeNamed
|
|||
// the segments are skew and may intersect in a point
|
||||
// get the intersect parameter for S1
|
||||
|
||||
double sI = (vx * wy - vy * wx) / D;
|
||||
final double sI = (vx * wy - vy * wx) / d;
|
||||
if (sI < 0 || sI > 1) // no intersect with S1
|
||||
{
|
||||
return 0;
|
||||
}
|
||||
|
||||
// get the intersect parameter for S2
|
||||
double tI = (ux * wy - uy * wx) / D;
|
||||
final double tI = (ux * wy - uy * wx) / d;
|
||||
return (tI < 0 || tI > 1) ? 0 : 1; // return 0 if no intersect with S2
|
||||
}
|
||||
}
|
||||
|
|
|
|||
|
|
@ -1,3 +1,20 @@
|
|||
/**********************************************************************************************
|
||||
Copyright (C) 2018 Norbert Truchsess norbert.truchsess@t-online.de
|
||||
|
||||
This program is free software: you can redistribute it and/or modify
|
||||
it under the terms of the GNU General Public License as published by
|
||||
the Free Software Foundation, either version 3 of the License, or
|
||||
(at your option) any later version.
|
||||
|
||||
This program is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
GNU General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU General Public License
|
||||
along with this program. If not, see <http://www.gnu.org/licenses/>.
|
||||
|
||||
**********************************************************************************************/
|
||||
package btools.router;
|
||||
|
||||
import static org.junit.Assert.*;
|
||||
|
|
@ -9,39 +26,59 @@ public class OsmNogoPolygonTest {
|
|||
|
||||
OsmNogoPolygon p;
|
||||
|
||||
final double[] lons = { 1.0, 1.0, 0.5, 0.5, 1.0, 1.0, -1.0, -1.0 };
|
||||
final double[] lats = { -1.0, -0.1, -0.1, 0.1, 0.1, 1.0, 1.0, -1.0 };
|
||||
|
||||
int toOsmLon(double lon) {
|
||||
return (int)( ( lon + 180. ) *1000000. + 0.5); // see ServerHandler.readPosition()
|
||||
}
|
||||
|
||||
int toOsmLat(double lat) {
|
||||
return (int)( ( lat + 90. ) *1000000. + 0.5);
|
||||
}
|
||||
|
||||
double coslat(int lat) // see RoutingContext.calcDistance()
|
||||
{
|
||||
final double l = (lat - 90000000) * 0.00000001234134; // 0.01234134 = Pi/(sqrt(2)*180)
|
||||
final double l2 = l*l;
|
||||
final double l4 = l2*l2;
|
||||
// final double l6 = l4*l2;
|
||||
return 1.- l2 + l4 / 6.; // - l6 / 90;
|
||||
}
|
||||
|
||||
@Before
|
||||
public void setUp() throws Exception {
|
||||
p = new OsmNogoPolygon();
|
||||
p.addVertex(1000, 1000);
|
||||
p.addVertex(2001, 1000);
|
||||
p.addVertex(2001, 1250);
|
||||
p.addVertex(1750, 1250);
|
||||
p.addVertex(1750, 1750);
|
||||
p.addVertex(2001, 1750);
|
||||
p.addVertex(2001, 2001);
|
||||
p.addVertex(1000, 2001);
|
||||
for (int i = 0; i<lons.length; i++) {
|
||||
p.addVertex(toOsmLon(lons[i]),toOsmLat(lats[i]));
|
||||
}
|
||||
}
|
||||
|
||||
@Test
|
||||
public void testCalcBoundingCircle() {
|
||||
p.calcBoundingCircle();
|
||||
assertEquals(1501,p.ilat);
|
||||
assertEquals(1501,p.ilon);
|
||||
assertEquals(707.813887968,p.radius,0.5);
|
||||
double r = p.radius;
|
||||
for (int i=0; i<lons.length; i++) {
|
||||
double py = toOsmLat(lats[i]);
|
||||
double dpx = (toOsmLon(lons[i]) - p.ilon) * coslat(p.ilat);
|
||||
double dpy = py - p.ilat;
|
||||
double r1 = Math.sqrt(dpx * dpx + dpy * dpy);
|
||||
double diff = r-r1;
|
||||
assertTrue("i: "+i+" r("+r+") >= r1("+r1+")", diff >= 0);
|
||||
}
|
||||
}
|
||||
|
||||
@Test
|
||||
public void testIntersectsOrIsWithin() {
|
||||
assertFalse(p.intersectsOrIsWithin(0,0, 0,0));
|
||||
assertFalse(p.intersectsOrIsWithin(1800,1500, 1800,1500));
|
||||
assertFalse(p.intersectsOrIsWithin(1500,2002, 1500,2002));
|
||||
assertTrue(p.intersectsOrIsWithin(1750, 1500, 1800,1500));
|
||||
assertTrue(p.intersectsOrIsWithin(1500, 2001, 1500,2002));
|
||||
assertTrue(p.intersectsOrIsWithin(1100, 1000, 1900, 1000));
|
||||
assertTrue(p.intersectsOrIsWithin(0, 0, 1500,1500));
|
||||
assertTrue(p.intersectsOrIsWithin(500, 1500, 1500, 1500));
|
||||
assertTrue(p.intersectsOrIsWithin(500, 1500, 2000, 1500));
|
||||
assertTrue(p.intersectsOrIsWithin(1400, 1500, 1500, 1500));
|
||||
double[] p0lons = { 0.0, 1.0, -0.5, 0.5, 0.7, 0.7, 0.7, -1.5, };
|
||||
double[] p0lats = { 0.0, 0.0, 0.5, 0.5, 0.5, 0.05, 0.05, -1.5, };
|
||||
double[] p1lons = { 0.0, 1.0, 0.5, 1.0, 0.7, 0.7, 0.7, -0.5, };
|
||||
double[] p1lats = { 0.0, 0.0, 0.5, 0.5, -0.5, -0.5, -0.05, -0.5, };
|
||||
boolean[] within = { true, false, true, true, true, true, false, true, };
|
||||
|
||||
for (int i=0; i<p0lons.length; i++) {
|
||||
assertEquals("("+p0lons[i]+","+p0lats[i]+")-("+p1lons[i]+","+p1lats[i]+")",within[i],p.intersectsOrIsWithin(toOsmLon(p0lons[i]), toOsmLat(p0lats[i]), toOsmLon(p1lons[i]), toOsmLat(p1lats[i])));
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
|
|
|||
Loading…
Reference in a new issue