/** * @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 function getCenterPoint(path) { //var path = e.;//Array 返回多边型的点数组 //var ret=parseFloat(num1)+parseFloat(num2); var x = 0.0; var y = 0.0; for(var i=0;i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 // debugger; // 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 export default BMapLib