GeoUtils.java
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package com.bsth.util.geo;
import com.bsth.data.geo.GeoCacheData;
import com.bsth.data.gps.GpsCacheData;
import com.bsth.entity.*;
import org.slf4j.Logger;
import org.slf4j.LoggerFactory;
import java.math.BigDecimal;
import java.math.RoundingMode;
import java.text.DecimalFormat;
import java.util.*;
/**
* Created by panzhao on 2016/12/23.
*/
public class GeoUtils {
private final static double EARTH_RADIUS = 6378137;
static DecimalFormat df = new DecimalFormat("#.00");
public static double getDistance(Point p1, Point p2) {
double lng1 = getLoop(p1.getLon(), -180, 180), lat1 = getRange(
p1.getLat(), -74, 74);
double lng2 = getLoop(p2.getLon(), -180, 180), lat2 = getRange(
p2.getLat(), -74, 74);
double x1, x2, y1, y2;
x1 = degreeToRad(lng1);
y1 = degreeToRad(lat1);
x2 = degreeToRad(lng2);
y2 = degreeToRad(lat2);
return EARTH_RADIUS
* Math.acos((Math.sin(y1) * Math.sin(y2) + Math.cos(y1)
* Math.cos(y2) * Math.cos(x2 - x1)));
}
private static double getLoop(double v, double a, double b) {
while (v > b) {
v -= b - a;
}
while (v < a) {
v += b - a;
}
return v;
}
private static double getRange(double v, double a, double b) {
v = Math.min(Math.max(v, a), b);
return v;
}
private static double degreeToRad(double degree) {
return Math.PI * degree / 180;
}
/**
* 计算点 到 线的距离
*
* @param
* @param p
* @return
*/
public static double getDistanceFromLine(Point s, Point e, Point p) {
if (isPointInLine(p, s, e))
return 0.5;
double d1 = getDistance(s, p);
double d2 = getDistance(p, e);
double d3 = getDistance(s, e);
double distance = 0;
double alpha = Math.acos((d1 * d1 + d3 * d3 - d2 * d2) / (2 * d1 * d3));
double beta = Math.acos((d2 * d2 + d3 * d3 - d1 * d1) / (2 * d2 * d3));
if (alpha > Math.PI / 2) {
distance = d1;
} else if (beta > Math.PI / 2) {
distance = d2;
} else {
distance = Math.sin(alpha) * d1;
}
return distance;
}
/**
* 点 和 线是否垂直相交
*
* @param s
* @param e
* @param p
* @return
*/
public static boolean isVIntersect(Point s, Point e, Point p) {
double d1 = getDistance(s, p);
double d2 = getDistance(p, e);
double d3 = getDistance(s, e);
double alpha = Math.acos((d1 * d1 + d3 * d3 - d2 * d2) / (2 * d1 * d3));
double beta = Math.acos((d2 * d2 + d3 * d3 - d1 * d1) / (2 * d2 * d3));
if (alpha <= Math.PI / 2 && beta <= Math.PI / 2) {
return true;
}
return false;
}
static double TO_RAD = Math.PI / 180;
private static double toRad(double v) {
return v * TO_RAD;
}
private static double toFixed(double v, int precision) {
return new BigDecimal(v).setScale(precision, RoundingMode.HALF_EVEN).doubleValue();
}
/**
* 点是否在线上
*
* @param p
* @param s
* @param e
* @return
*/
public static boolean isPointInLine(Point p, Point s, Point e) {
double d1 = getDistance(s, p);
double d2 = getDistance(e, p);
if (d1 < 2 || d2 < 2)
return true;
else
return Math.abs(d1 + d2 - getDistance(s, e)) < 5;
}
static Logger logger = LoggerFactory.getLogger(GeoUtils.class);
/**
* 计算2条直线的最短距离
*
* @param p1
* @param p2
* @param p3
* @param p4
* @return
*/
public static double getDistanceLineToLine(Point p1, Point p2, Point p3, Point p4) {
double distance;
double x1 = p1.getLat(); //A点坐标(x1,y1,z1)
double y1 = p1.getLon();
double z1 = 0;
double x2 = p2.getLat(); //B点坐标(x2,y2,z2)
double y2 = p2.getLon();
double z2 = 0;
double x3 = p3.getLat(); //C点坐标(x3,y3,z3)
double y3 = p3.getLon();
double z3 = 0;
double x4 = p4.getLat(); //D点坐标(x4,y4,z4)
double y4 = p4.getLon();
double z4 = 0;
double a = (x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1) + (z2 - z1) * (z2 - z1);
double b = -((x2 - x1) * (x4 - x3) + (y2 - y1) * (y4 - y3) + (z2 - z1) * (z4 - z3));
double c = -((x1 - x2) * (x1 - x3) + (y1 - y2) * (y1 - y3) + (z1 - z2) * (z1 - z3));
double d = -((x2 - x1) * (x4 - x3) + (y2 - y1) * (y4 - y3) + (z2 - z1) * (z4 - z3));
double e = (x4 - x3) * (x4 - x3) + (y4 - y3) * (y4 - y3) + (z4 - z3) * (z4 - z3);
double f = -((x1 - x3) * (x4 - x3) + (y1 - y3) * (y4 - y3) + (z1 - z3) * (z4 - z3));
//平行
if ((a * e - b * d) == 0 && (b * d - a * e) == 0) {
double d1 = getDistance(p1, p3);
double d2 = getDistance(p1, p4);
distance = (d1 < d2) ? d1 : d2;
return distance;
}
double s = (b * f - e * c) / (a * e - b * d);
double t = (a * f - d * c) / (b * d - a * e);
//说明P点落在线段AB上,Q点落在线段CD上
if (0 <= s && s <= 1 && 0 <= t && t <= 1) {
//2条线段的公垂线段PQ;
//P点坐标
double X = x1 + s * (x2 - x1);
double Y = y1 + s * (y2 - y1);
double Z = z1 + s * (z2 - z1);
//Q点坐标
double U = x3 + t * (x4 - x3);
double V = y3 + t * (y4 - y3);
double W = z3 + t * (z4 - z3);
Point p = new Point(Y, X);
Point q = new Point(V, U);
distance = getDistance(p, q);
} else {
double d1 = getDistanceFromLine(p3, p4, p1);
double d2 = getDistanceFromLine(p3, p4, p2);
double d3 = getDistanceFromLine(p1, p2, p3);
double d4 = getDistanceFromLine(p1, p2, p4);
distance = (d1 < d2) ? d1 : d2;
distance = (distance < d3) ? distance : d3;
distance = (distance < d4) ? distance : d4;
}
return distance;
}
/**
* 计算2条直线的交叉点
*
* @param p1
* @param p2
* @param p3
* @param p4
* @return
*/
public static Point getLineToLineIntersection(Point p1, Point p2, Point p3, Point p4, double dt) {
double x1 = p1.getLat(); //A点坐标(x1,y1,z1)
double y1 = p1.getLon();
double z1 = 0;
double x2 = p2.getLat(); //B点坐标(x2,y2,z2)
double y2 = p2.getLon();
double z2 = 0;
double x3 = p3.getLat(); //C点坐标(x3,y3,z3)
double y3 = p3.getLon();
double z3 = 0;
double x4 = p4.getLat(); //D点坐标(x4,y4,z4)
double y4 = p4.getLon();
double z4 = 0;
double a = (x2 - x1) * (x2 - x1) + (y2 - y1) * (y2 - y1) + (z2 - z1) * (z2 - z1);
double b = -((x2 - x1) * (x4 - x3) + (y2 - y1) * (y4 - y3) + (z2 - z1) * (z4 - z3));
double c = -((x1 - x2) * (x1 - x3) + (y1 - y2) * (y1 - y3) + (z1 - z2) * (z1 - z3));
double d = -((x2 - x1) * (x4 - x3) + (y2 - y1) * (y4 - y3) + (z2 - z1) * (z4 - z3));
double e = (x4 - x3) * (x4 - x3) + (y4 - y3) * (y4 - y3) + (z4 - z3) * (z4 - z3);
double f = -((x1 - x3) * (x4 - x3) + (y1 - y3) * (y4 - y3) + (z1 - z3) * (z4 - z3));
//平行
if ((a * e - b * d) == 0 && (b * d - a * e) == 0) {
return null;
}
double s = (b * f - e * c) / (a * e - b * d);
double t = (a * f - d * c) / (b * d - a * e);
//说明P点落在线段AB上,Q点落在线段CD上
if (0 <= s && s <= 1 && 0 <= t && t <= 1) {
//2条线段的公垂线段PQ;
//P点坐标
double X = x1 + s * (x2 - x1);
double Y = y1 + s * (y2 - y1);
double Z = z1 + s * (z2 - z1);
//Q点坐标
double U = x3 + t * (x4 - x3);
double V = y3 + t * (y4 - y3);
double W = z3 + t * (z4 - z3);
if (Y == V && X == U) {
return new Point(Y, X);
}
} else {
double distance;
double d1 = getDistanceFromLine(p3, p4, p1);
double d2 = getDistanceFromLine(p3, p4, p2);
double d3 = getDistanceFromLine(p1, p2, p3);
double d4 = getDistanceFromLine(p1, p2, p4);
distance = (d1 < d2) ? d1 : d2;
if (distance < dt)
return p1;
if (d3 < distance && d3 < dt)
return p3;
if (d4 < distance && d4 < dt)
return p4;
}
return null;
}
/**
* 计算点 到 线的垂直交点
*
* @param lp1
* @param lp2
* @param p
* @return
*/
public static Point perpendularPoint(Point lp1, Point lp2, Point p) {
double a = lp1.getLat() - lp2.getLat(), b = lp2.getLon() - lp1.getLon(), c = lp1.getLon() * lp2.getLat() - lp2.getLon() * lp1.getLat();
double lon = (Math.pow(b, 2) * p.getLon() - a * b * p.getLat() - a * c) / (Math.pow(a, 2) + Math.pow(b, 2));
double lat = (Math.pow(a, 2) * p.getLat() - a * b * p.getLon() - b * c) / (Math.pow(a, 2) + Math.pow(b, 2));
return new Point(lon, lat);
}
public static boolean isPointInRect(Point point, Bounds bounds) {
Point sw = bounds.getSouthWest(); // 西南脚点
Point ne = bounds.getNorthEast(); // 东北脚点
return (point.getLon() >= sw.getLon() && point.getLon() <= ne.getLon()
&& point.getLat() >= sw.getLat() && point.getLat() <= ne
.getLat());
}
public static boolean isPointInPolygon(Point point, Polygon polygon) {
Bounds polygonBounds = polygon.getBounds();
if (!isPointInRect(point, polygonBounds)) {
return false;
}
List<Point> pts = polygon.getPoints();// 获取多边形点
// 下述代码来源:http://paulbourke.net/geometry/insidepoly/,进行了部分修改
// 基本思想是利用射线法,计算射线与多边形各边的交点,如果是偶数,则点在多边形外,否则
// 在多边形内。还会考虑一些特殊情况,如点在多边形顶点上,点在多边形边上等特殊情况。
int N = pts.size();
boolean boundOrVertex = true; // 如果点位于多边形的顶点或边上,也算做点在多边形内,直接返回true
int intersectCount = 0;// cross points count of x
double precision = 2e-10; // 浮点类型计算时候与0比较时候的容差
Point p1, p2;// neighbour bound vertices
Point p = point; // 测试点
p1 = pts.get(0);// left vertex
for (int i = 1; i <= N; ++i) {// check all rays
if (p.equals(p1)) {
return boundOrVertex;// p is an vertex
}
p2 = pts.get(i % N);// right vertex
if (p.getLat() < Math.min(p1.getLat(), p2.getLat())
|| p.getLat() > Math.max(p1.getLat(), p2.getLat())) {// ray
// is
// outside
// of
// our
// interests
p1 = p2;
continue;// next ray left point
}
if (p.getLat() > Math.min(p1.getLat(), p2.getLat())
&& p.getLat() < Math.max(p1.getLat(), p2.getLat())) {// ray
// is
// crossing
// over
// by
// the
// algorithm
// (common
// part
// of)
if (p.getLon() <= Math.max(p1.getLon(), p2.getLon())) {// x is
// before
// of
// ray
if (p1.getLat() == p2.getLat()
&& p.getLon() >= Math.min(p1.getLon(), p2.getLon())) {// overlies
// on
// a
// horizontal
// ray
return boundOrVertex;
}
if (p1.getLon() == p2.getLon()) {// ray is vertical
if (p1.getLon() == p.getLon()) {// overlies on a
// vertical ray
return boundOrVertex;
} else {// before ray
++intersectCount;
}
} else {// cross point on the left side
double xinters = (p.getLat() - p1.getLat())
* (p2.getLon() - p1.getLon())
/ (p2.getLat() - p1.getLat()) + p1.getLon();// cross
// point
// of
// lng
if (Math.abs(p.getLon() - xinters) < precision) {// overlies
// on
// a
// ray
return boundOrVertex;
}
if (p.getLon() < xinters) {// before ray
++intersectCount;
}
}
}
} else {// special case when ray is crossing through the vertex
if (p.getLat() == p2.getLat() && p.getLon() <= p2.getLon()) {// p
// crossing
// over
// p2
Point p3 = pts.get((i + 1) % N); // next vertex
if (p.getLat() >= Math.min(p1.getLat(), p3.getLat())
&& p.getLat() <= Math.max(p1.getLat(), p3.getLat())) {// p.lat
// lies
// between
// p1.lat
// &
// p3.lat
++intersectCount;
} else {
intersectCount += 2;
}
}
}
p1 = p2;// next ray left point
}
if (intersectCount % 2 == 0) {// 偶数在多边形外
return false;
} else { // 奇数在多边形内
return true;
}
}
/**
* gps是否在路由上的某个站内
*
* @param gps
* @param srs
* @return
*/
public static ArriveStationDetail gpsInStation(GpsEntity gps, List<StationRoute> srs) {
List<ArriveStationDetail> rs = new ArrayList();
Point point = gps.getPoint();
double distance;
StationRoute sr;
for (int i = 0, len = srs.size(); i < len; i++) {
sr = srs.get(i);
if (sr.getPolygon() == null) {
//圆形
distance = getDistance(sr.getPoint(), point);
if (distance > sr.getRadius())
continue;
rs.add(new ArriveStationDetail(sr, distance, i + 1));
} else if (isPointInPolygon(point, sr.getPolygon())) {
distance = getDistance(sr.getPoint(), point);
rs.add(new ArriveStationDetail(sr, distance, i + 1));
}
}
if (rs.size() == 0)
return null;
else
return findNearStation(rs, gps);
}
private static ArriveStationDetail findNearStation(List<ArriveStationDetail> rs, GpsEntity gps) {
if (rs.size() > 1) {
//按路由顺序排序
Collections.sort(rs, new Comparator<ArriveStationDetail>() {
@Override
public int compare(ArriveStationDetail s1, ArriveStationDetail s2) {
return s1.getI() - s2.getI();
}
});
//上一个进的站点
StationRoute ps = GpsCacheData.prevInStation(gps);
if (null != ps) {
for (ArriveStationDetail s : rs) {
if (s.getSr().getSerialNo() >= ps.getSerialNo())
return s;
}
}
}
return rs.get(0);
}
public static Polygon parsePolygon(String polygonStr) {
String[] arr = polygonStr.substring(9, polygonStr.length() - 2).split(","), temps;
List<Point> cds = new ArrayList<>(arr.length);
int len = arr.length;
for (int i = 0; i < len; i++) {
temps = arr[i].split(" ");
cds.add(new Point(Float.parseFloat(temps[0]), Float.parseFloat(temps[1])));
}
return new Polygon(cds);
}
/**
* gps 是否在某个停车场内
*
* @param gps
* @return
*/
public static String gpsInCarpark(GpsEntity gps) {
Point point = gps.getPoint();
Collection<CarPark> cps = GeoCacheData.carPacks();
for (CarPark cp : cps) {
if (isPointInPolygon(point, cp.getPolygon()))
return cp.getCode();
}
return null;
}
/**
* 点 和 线的最近相交点 和 索引
*
* @param p
* @param coords
* @return
*/
public static IntersePoint pointToLineNearPoint(Point p, List<Point> coords) {
IntersePoint sri = new IntersePoint();
Point s, e, intersection;
double d1, d2, d3, alpha, beta;
double distance;
int index;
for (int i = 1, len = coords.size(); i < len; i++) {
s = coords.get(i - 1);
e = coords.get(i);
d1 = getDistance(s, p);
d2 = getDistance(p, e);
d3 = getDistance(s, e);
alpha = Math.acos((d1 * d1 + d3 * d3 - d2 * d2) / (2 * d1 * d3));
beta = Math.acos((d2 * d2 + d3 * d3 - d1 * d1) / (2 * d2 * d3));
if (d3 < 0.5 || Double.isNaN(alpha) || Double.isNaN(beta))
continue;
index = i;
if (alpha > Math.PI / 2) {
distance = d1;
intersection = s;
} else if (beta > Math.PI / 2) {
distance = d2;
intersection = e;
} else {
distance = Math.sin(alpha) * d1;
intersection = perpendularPoint(s, e, p);
}
if (null == sri.getPoint() || sri.getDistance() > distance) {
sri.setIndex(index);
sri.setDistance(distance);
sri.setPoint(intersection);
}
}
return sri;
}
public static double getDistance(List<Point> ps) {
double sum = 0;
for (int i = 0, len = ps.size() - 1; i < len; i++) {
sum += GeoUtils.getDistance(ps.get(i), ps.get(i + 1));
}
return Double.isNaN(sum) ? 0 : Double.parseDouble(df.format(sum));
}
/**
* 计算2个gps的距离(线路上站点间的信号)
*
* @param firts
* @param gps
* @return
*/
public static double getDistance(GpsEntity firts, GpsEntity gps) {
List<Point> ps = GeoCacheData.getFullSection(gps.getLineId(), gps.getUpDown());
IntersePoint ip1 = pointToLineNearPoint(firts.getPoint(), ps), ip2 = pointToLineNearPoint(gps.getPoint(), ps);
int s = ip1.getIndex(), e = ip2.getIndex();
if (e < s)
return Double.NaN;
double sum = 0, distance;
for (; s < e; s++) {
distance = getDistance(ps.get(s), ps.get(s + 1));
if (!Double.isNaN(distance))
sum += distance;
}
if (!Double.isNaN(sum))
sum = Double.parseDouble(df.format(sum));
return sum;
}
}