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GeoUtils.js
- /**
- * @fileoverview GeoUtils类提供若干几何算法,用来帮助用户判断点与矩形、
- * 圆形、多边形线、多边形面的关系,并提供计算折线长度和多边形的面积的公式。
- * 主入口类是GeoUtils,
- * 基于Baidu Map API 1.2。
- *
- * @author Baidu Map Api Group
- * @version 1.2
- */
- //BMapLib.GeoUtils.degreeToRad(Number)
- //将度转化为弧度
- //BMapLib.GeoUtils.getDistance(Point, Point)
- //计算两点之间的距离,两点坐标必须为经纬度
- //BMapLib.GeoUtils.getPolygonArea(polygon)
- //计算多边形面或点数组构建图形的面积,注意:坐标类型只能是经纬度,且不适合计算自相交多边形的面积(封闭的面积)
- //BMapLib.GeoUtils.getPolylineDistance(polyline)
- //计算折线或者点数组的长度
- //BMapLib.GeoUtils.isPointInCircle(point, circle)
- //判断点是否在圆形内
- //BMapLib.GeoUtils.isPointInPolygon(point, polygon)
- //判断点是否多边形内
- //BMapLib.GeoUtils.isPointInRect(point, bounds)
- //判断点是否在矩形内
- //BMapLib.GeoUtils.isPointOnPolyline(point, polyline)
- //判断点是否在折线上
- //BMapLib.GeoUtils.radToDegree(Number)
- //将弧度转化为度
- /**
- * @namespace BMap的所有library类均放在BMapLib命名空间下
- */
- var BMapLib = window.BMapLib = BMapLib || {};
- (function () {
- /**
- * 地球半径
- */
- var EARTHRADIUS = 6370996.81;
- /**
- * @exports GeoUtils as BMapLib.GeoUtils
- */
- var GeoUtils =
- /**
- * GeoUtils类,静态类,勿需实例化即可使用
- * @class GeoUtils类的入口。
- * 该类提供的都是静态方法,勿需实例化即可使用。
- */
- BMapLib.GeoUtils = function () {
- }
- /**
- * 判断点是否在矩形内
- * @param {Point} point 点对象
- * @param {Bounds} bounds 矩形边界对象
- * @returns {Boolean} 点在矩形内返回true,否则返回false
- */
- GeoUtils.isPointInRect = function (point, bounds) {
- //检查类型是否正确
- if (!(point instanceof BMap.Point) ||
- !(bounds instanceof BMap.Bounds)) {
- return false;
- }
- var sw = bounds.getSouthWest(); //西南脚点
- var ne = bounds.getNorthEast(); //东北脚点
- return (point.lng >= sw.lng && point.lng <= ne.lng && point.lat >= sw.lat && point.lat <= ne.lat);
- }
- /**
- * 判断点是否在圆形内
- * @param {Point} point 点对象
- * @param {Circle} circle 圆形对象
- * @returns {Boolean} 点在圆形内返回true,否则返回false
- */
- GeoUtils.isPointInCircle = function (point, circle) {
- //检查类型是否正确
- if (!(point instanceof BMap.Point) ||
- !(circle instanceof BMap.Circle)) {
- return false;
- }
- //point与圆心距离小于圆形半径,则点在圆内,否则在圆外
- var c = circle.getCenter();
- var r = circle.getRadius();
- var dis = GeoUtils.getDistance(point, c);
- if (dis <= r) {
- return true;
- } else {
- return false;
- }
- }
- /**
- * 判断点是否在折线上
- * @param {Point} point 点对象
- * @param {Polyline} polyline 折线对象
- * @returns {Boolean} 点在折线上返回true,否则返回false
- */
- GeoUtils.isPointOnPolyline = function (point, polyline) {
- //检查类型
- if (!(point instanceof BMap.Point) ||
- !(polyline instanceof BMap.Polyline)) {
- return false;
- }
- //首先判断点是否在线的外包矩形内,如果在,则进一步判断,否则返回false
- var lineBounds = polyline.getBounds();
- if (!this.isPointInRect(point, lineBounds)) {
- return false;
- }
- //判断点是否在线段上,设点为Q,线段为P1P2 ,
- //判断点Q在该线段上的依据是:( Q - P1 ) × ( P2 - P1 ) = 0,且 Q 在以 P1,P2为对角顶点的矩形内
- var pts = polyline.getPath();
- for (var i = 0; i < pts.length - 1; i++) {
- var curPt = pts[i];
- var nextPt = pts[i + 1];
- //首先判断point是否在curPt和nextPt之间,即:此判断该点是否在该线段的外包矩形内
- if (point.lng >= Math.min(curPt.lng, nextPt.lng) && point.lng <= Math.max(curPt.lng, nextPt.lng) &&
- point.lat >= Math.min(curPt.lat, nextPt.lat) && point.lat <= Math.max(curPt.lat, nextPt.lat)) {
- //判断点是否在直线上公式
- var precision = (curPt.lng - point.lng) * (nextPt.lat - point.lat) - (nextPt.lng - point.lng) * (curPt.lat - point.lat);
- if (precision < 2e-10 && precision > -2e-10) {//实质判断是否接近0
- return true;
- }
- }
- }
- return false;
- }
- /**
- * 判断点是否多边形内
- * @param {Point} point 点对象
- * @param {Polyline} polygon 多边形对象
- * @returns {Boolean} 点在多边形内返回true,否则返回false
- */
- GeoUtils.isPointInPolygon = function (point, polygon) {
- //检查类型
- if (!(point instanceof BMap.Point) ||
- !(polygon instanceof BMap.Polygon)) {
- return false;
- }
- //首先判断点是否在多边形的外包矩形内,如果在,则进一步判断,否则返回false
- var polygonBounds = polygon.getBounds();
- if (!this.isPointInRect(point, polygonBounds)) {
- return false;
- }
- var pts = polygon.getPath(); //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。
- var N = pts.length;
- var 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
- var intersectCount = 0; //cross points count of x
- var precision = 2e-10; //浮点类型计算时候与0比较时候的容差
- var p1, p2; //neighbour bound vertices
- var p = point; //测试点
- p1 = pts[0]; //left vertex
- for (var i = 1; i <= N; ++i) {//check all rays
- if (p.equals(p1)) {
- return boundOrVertex; //p is an vertex
- }
- p2 = pts[i % N]; //right vertex
- if (p.lat < Math.min(p1.lat, p2.lat) || p.lat > Math.max(p1.lat, p2.lat)) {//ray is outside of our interests
- p1 = p2;
- continue; //next ray left point
- }
- if (p.lat > Math.min(p1.lat, p2.lat) && p.lat < Math.max(p1.lat, p2.lat)) {//ray is crossing over by the algorithm (common part of)
- if (p.lng <= Math.max(p1.lng, p2.lng)) {//x is before of ray
- if (p1.lat == p2.lat && p.lng >= Math.min(p1.lng, p2.lng)) {//overlies on a horizontal ray
- return boundOrVertex;
- }
- if (p1.lng == p2.lng) {//ray is vertical
- if (p1.lng == p.lng) {//overlies on a vertical ray
- return boundOrVertex;
- } else {//before ray
- ++intersectCount;
- }
- } else {//cross point on the left side
- var xinters = (p.lat - p1.lat) * (p2.lng - p1.lng) / (p2.lat - p1.lat) + p1.lng; //cross point of lng
- if (Math.abs(p.lng - xinters) < precision) {//overlies on a ray
- return boundOrVertex;
- }
- if (p.lng < xinters) {//before ray
- ++intersectCount;
- }
- }
- }
- } else {//special case when ray is crossing through the vertex
- if (p.lat == p2.lat && p.lng <= p2.lng) {//p crossing over p2
- var p3 = pts[(i + 1) % N]; //next vertex
- if (p.lat >= Math.min(p1.lat, p3.lat) && p.lat <= Math.max(p1.lat, p3.lat)) {//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;
- }
- }
- /**
- * 将度转化为弧度
- * @param {degree} Number 度
- * @returns {Number} 弧度
- */
- GeoUtils.degreeToRad = function (degree) {
- return Math.PI * degree / 180;
- }
- /**
- * 将弧度转化为度
- * @param {radian} Number 弧度
- * @returns {Number} 度
- */
- GeoUtils.radToDegree = function (rad) {
- return (180 * rad) / Math.PI;
- }
- /**
- * 将v值限定在a,b之间,纬度使用
- */
- function _getRange(v, a, b) {
- if (a != null) {
- v = Math.max(v, a);
- }
- if (b != null) {
- v = Math.min(v, b);
- }
- return v;
- }
- /**
- * 将v值限定在a,b之间,经度使用
- */
- function _getLoop(v, a, b) {
- while (v > b) {
- v -= b - a
- }
- while (v < a) {
- v += b - a
- }
- return v;
- }
- /**
- * 计算两点之间的距离,两点坐标必须为经纬度
- * @param {point1} Point 点对象
- * @param {point2} Point 点对象
- * @returns {Number} 两点之间距离,单位为米
- */
- GeoUtils.getDistance = function (point1, point2) {
- //判断类型
- if (!(point1 instanceof BMap.Point) ||
- !(point2 instanceof BMap.Point)) {
- return 0;
- }
- point1.lng = _getLoop(point1.lng, -180, 180);
- point1.lat = _getRange(point1.lat, -74, 74);
- point2.lng = _getLoop(point2.lng, -180, 180);
- point2.lat = _getRange(point2.lat, -74, 74);
- var x1, x2, y1, y2;
- x1 = GeoUtils.degreeToRad(point1.lng);
- y1 = GeoUtils.degreeToRad(point1.lat);
- x2 = GeoUtils.degreeToRad(point2.lng);
- y2 = GeoUtils.degreeToRad(point2.lat);
- return EARTHRADIUS * Math.acos((Math.sin(y1) * Math.sin(y2) + Math.cos(y1) * Math.cos(y2) * Math.cos(x2 - x1)));
- }
- /**
- * 计算折线或者点数组的长度
- * @param {Polyline|Array
} polyline 折线对象或者点数组 - * @returns {Number} 折线或点数组对应的长度
- */
- GeoUtils.getPolylineDistance = function (polyline) {
- //检查类型
- if (polyline instanceof BMap.Polyline ||
- polyline instanceof Array) {
- //将polyline统一为数组
- var pts;
- if (polyline instanceof BMap.Polyline) {
- pts = polyline.getPath();
- } else {
- pts = polyline;
- }
- if (pts.length < 2) {//小于2个点,返回0
- return 0;
- }
- //遍历所有线段将其相加,计算整条线段的长度
- var totalDis = 0;
- for (var i = 0; i < pts.length - 1; i++) {
- var curPt = pts[i];
- var nextPt = pts[i + 1]
- var dis = GeoUtils.getDistance(curPt, nextPt);
- totalDis += dis;
- }
- return totalDis;
- } else {
- return 0;
- }
- }
- /**
- * 计算多边形面或点数组构建图形的面积,注意:坐标类型只能是经纬
- 度,且不适合计算自相交多边形的面积
- * @param {Polygon|Array
} polygon 多边形面对象或者点数 - 组
- * @returns {Number} 多边形面或点数组构成图形的面积
- */
- GeoUtils.getPolygonArea = function (polygon) {
- //检查类型
- if (!(polygon instanceof BMap.Polygon) &&
- !(polygon instanceof Array)) {
- return 0;
- }
- var pts;
- if (polygon instanceof BMap.Polygon) {
- pts = polygon.getPath();
- } else {
- pts = polygon;
- }
- if (pts.length < 3) {//小于3个顶点,不能构建面
- return 0;
- }
- var totalArea = 0; //初始化总面积
- var LowX = 0.0;
- var LowY = 0.0;
- var MiddleX = 0.0;
- var MiddleY = 0.0;
- var HighX = 0.0;
- var HighY = 0.0;
- var AM = 0.0;
- var BM = 0.0;
- var CM = 0.0;
- var AL = 0.0;
- var BL = 0.0;
- var CL = 0.0;
- var AH = 0.0;
- var BH = 0.0;
- var CH = 0.0;
- var CoefficientL = 0.0;
- var CoefficientH = 0.0;
- var ALtangent = 0.0;
- var BLtangent = 0.0;
- var CLtangent = 0.0;
- var AHtangent = 0.0;
- var BHtangent = 0.0;
- var CHtangent = 0.0;
- var ANormalLine = 0.0;
- var BNormalLine = 0.0;
- var CNormalLine = 0.0;
- var OrientationValue = 0.0;
- var AngleCos = 0.0;
- var Sum1 = 0.0;
- var Sum2 = 0.0;
- var Count2 = 0;
- var Count1 = 0;
- var Sum = 0.0;
- var Radius = EARTHRADIUS; //6378137.0,WGS84椭球半径
- var Count = pts.length;
- for (var i = 0; i < Count; i++) {
- if (i == 0) {
- LowX = pts[Count - 1].lng * Math.PI / 180;
- LowY = pts[Count - 1].lat * Math.PI / 180;
- MiddleX = pts[0].lng * Math.PI / 180;
- MiddleY = pts[0].lat * Math.PI / 180;
- HighX = pts[1].lng * Math.PI / 180;
- HighY = pts[1].lat * Math.PI / 180;
- }
- else if (i == Count - 1) {
- LowX = pts[Count - 2].lng * Math.PI / 180;
- LowY = pts[Count - 2].lat * Math.PI / 180;
- MiddleX = pts[Count - 1].lng * Math.PI / 180;
- MiddleY = pts[Count - 1].lat * Math.PI / 180;
- HighX = pts[0].lng * Math.PI / 180;
- HighY = pts[0].lat * Math.PI / 180;
- }
- else {
- LowX = pts[i - 1].lng * Math.PI / 180;
- LowY = pts[i - 1].lat * Math.PI / 180;
- MiddleX = pts[i].lng * Math.PI / 180;
- MiddleY = pts[i].lat * Math.PI / 180;
- HighX = pts[i + 1].lng * Math.PI / 180;
- HighY = pts[i + 1].lat * Math.PI / 180;
- }
- AM = Math.cos(MiddleY) * Math.cos(MiddleX);
- BM = Math.cos(MiddleY) * Math.sin(MiddleX);
- CM = Math.sin(MiddleY);
- AL = Math.cos(LowY) * Math.cos(LowX);
- BL = Math.cos(LowY) * Math.sin(LowX);
- CL = Math.sin(LowY);
- AH = Math.cos(HighY) * Math.cos(HighX);
- BH = Math.cos(HighY) * Math.sin(HighX);
- CH = Math.sin(HighY);
- CoefficientL = (AM * AM + BM * BM + CM * CM) / (AM * AL + BM * BL + CM * CL);
- CoefficientH = (AM * AM + BM * BM + CM * CM) / (AM * AH + BM * BH + CM * CH);
- ALtangent = CoefficientL * AL - AM;
- BLtangent = CoefficientL * BL - BM;
- CLtangent = CoefficientL * CL - CM;
- AHtangent = CoefficientH * AH - AM;
- BHtangent = CoefficientH * BH - BM;
- CHtangent = CoefficientH * CH - CM;
- AngleCos = (AHtangent * ALtangent + BHtangent * BLtangent + CHtangent * CLtangent) / (Math.sqrt(AHtangent * AHtangent + BHtangent * BHtangent + CHtangent * CHtangent) * Math.sqrt(ALtangent * ALtangent + BLtangent * BLtangent + CLtangent * CLtangent));
- AngleCos = Math.acos(AngleCos);
- ANormalLine = BHtangent * CLtangent - CHtangent * BLtangent;
- BNormalLine = 0 - (AHtangent * CLtangent - CHtangent * ALtangent);
- CNormalLine = AHtangent * BLtangent - BHtangent * ALtangent;
- if (AM != 0)
- OrientationValue = ANormalLine / AM;
- else if (BM != 0)
- OrientationValue = BNormalLine / BM;
- else
- OrientationValue = CNormalLine / CM;
- if (OrientationValue > 0) {
- Sum1 += AngleCos;
- Count1++;
- }
- else {
- Sum2 += AngleCos;
- Count2++;
- }
- }
- var tempSum1, tempSum2;
- tempSum1 = Sum1 + (2 * Math.PI * Count2 - Sum2);
- tempSum2 = (2 * Math.PI * Count1 - Sum1) + Sum2;
- if (Sum1 > Sum2) {
- if ((tempSum1 - (Count - 2) * Math.PI) < 1)
- Sum = tempSum1;
- else
- Sum = tempSum2;
- }
- else {
- if ((tempSum2 - (Count - 2) * Math.PI) < 1)
- Sum = tempSum2;
- else
- Sum = tempSum1;
- }
- totalArea = (Sum - (Count - 2) * Math.PI) * Radius * Radius;
- return totalArea; //返回总面积
- }
- })(); //闭包结束
注意:
BMapLib.GeoUtils.getPolygonArea(polygon) 不适合计算自相交多边形的面积(封闭的面积)