百度地图API（3）：判断地图上的点是否在 圆形 多边形 区域内

转载自 http://blog.csdn.net/c1481118216/article/details/52661934

• 首先提供一个百度地图API官方的GeoUtils.js

• 直接调用即可

  /**   * @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<a href="symbols/BMapLib.GeoUtils.html">GeoUtils</a>，   * 基于Baidu Map API 1.2。   *   * @author Baidu Map Api Group    * @version 1.2   */ /**   * @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<b>入口</b>。      * 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<Point>} 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<Point>} 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
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• 使用方法核心代码：

//创建一个圆(坐标自己填)var circle = new BMap.Circle(new BMap.Point(112.595384,26.904631),1000,{fillColor:"blue", strokeWeight: 1 ,fillOpacity: 0.3, strokeOpacity: 0.3});//创建一个点(坐标自己填) var point = new BMap.Point(112.595384,26.904631);    // 创建点坐标  //判断点是否在圆形区域内if(BMapLib.GeoUtils.isPointInCircle(point,circle)){  alert("该point 在 circle内");}else{   alert("该point 不在 circle内");}
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编码中遇到的问题：

1. 要注意Point和Circle 都必须是:BMap.Point和BMap.Bounds对象

Tip：

1. 官方js链接： http://api.map.baidu.com/library/GeoUtils/1.2/docs/symbols/src/BMapLib_GeoUtils.js.html
2. 演示地址：圆形：http://www.ltbetter.com:8080/BMap/MapTest5.html 
   多边形：http://www.ltbetter.com:8080/BMap/MapTest6.html
3. 多边形，矩形类似，官方api都有相应的方法

源代码 圆形：

<!DOCTYPE html><html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8" /><meta name="viewport" content="initial-scale=1.0, user-scalable=no" /><style type="text/css">body, html,#allmap {width: 100%;height: 100%;overflow: hidden;margin:0;font-family:"微软雅黑";}</style><script type="text/javascript" src="http://api.map.baidu.com/api?v=2.0&ak=ZwQAeZO1fncN63zUmuYeGU7CLU0mpfdk"></script><script type="text/javascript" src="GeoUtil.js"></script><title>圆形区域判断</title></head><body><div id="allmap"></div></body></html><script type="text/javascript">//创建地图var map = new BMap.Map("allmap");  //创建一个圆var circle = new BMap.Circle(new BMap.Point(112.595384,26.904631),1000,{fillColor:"blue", strokeWeight: 1 ,fillOpacity: 0.3, strokeOpacity: 0.3}); var point2s = [        new BMap.Point(112.586149,26.913201),        new BMap.Point(112.58464,26.909432),        new BMap.Point(112.585143,26.899219),        new BMap.Point(112.600953,26.898832),        new BMap.Point(112.607421,26.900572),        new BMap.Point(112.606631,26.904825),        new BMap.Point(112.606523,26.909142),        new BMap.Point(112.59772,26.909399),      ];//创建标注点并添加到地图中function addMarker(points) {    //循环建立标注点    for(var i=0, pointsLen = points.length; i<pointsLen; i++) {        var marker = new BMap.Marker(points[i]); //将点转化成标注点        map.addOverlay(marker);  //将标注点添加到地图上        //添加监听事件        (function() {            var thePoint = points[i];            marker.addEventListener("click",                function() {                showInfo(this,thePoint);            });         })();      }}function showInfo(thisMarker,point) {    //判断点是否在    if(BMapLib.GeoUtils.isPointInCircle(point,circle)){      var infoWindow = new BMap.InfoWindow("在圆形区域内");      thisMarker.openInfoWindow(infoWindow); //图片加载完后重绘infoWindow  }else  {     var infoWindow = new BMap.InfoWindow("不在圆形区域内");      thisMarker.openInfoWindow(infoWindow); //图片加载完后重绘infoWindow  }}function initialize() {      alert("点击标注点可以显示是否在区域内");  // 百度地图API功能    map.addControl(new BMap.NavigationControl());               // 添加平移缩放控件    map.addControl(new BMap.ScaleControl());                    // 添加比例尺控件    map.addControl(new BMap.OverviewMapControl());              //添加缩略地图控件    map.enableScrollWheelZoom();                            //启用滚轮放大缩小    map.addControl(new BMap.MapTypeControl());          //添加地图类型控件      var point = new BMap.Point(112.595384,26.904631);    // 创建点坐标          map.centerAndZoom(point,15);                      // 初始化地图,设置中心点坐标和地图级别。          addMarker(point2s);   map.addOverlay(circle);}  initialize();</script>
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源代码 多边形

<!DOCTYPE html><html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8" /><meta name="viewport" content="initial-scale=1.0, user-scalable=no" /><style type="text/css">body, html,#allmap {width: 100%;height: 100%;overflow: hidden;margin:0;font-family:"微软雅黑";}</style><script type="text/javascript" src="http://api.map.baidu.com/api?v=2.0&ak=ZwQAeZO1fncN63zUmuYeGU7CLU0mpfdk"></script><script type="text/javascript" src="GeoUtil.js"></script><title>圆形区域判断</title></head><body><div id="allmap"></div></body></html><script type="text/javascript">//创建地图var map = new BMap.Map("allmap");  //创建一个多边形//创建多边形  var polygon2 = new BMap.Polygon([        new BMap.Point(112.579325,26.915291),        new BMap.Point(112.584967,26.899086),        new BMap.Point(112.608287,26.898023),        new BMap.Point(112.605035,26.90764),        new BMap.Point(112.602825,26.914356),        new BMap.Point(112.588254,26.909862),        ], {strokeColor:"#f50704",fillColor:"#cfcfcf", strokeWeight:5, strokeOpacity:0,fillOpacity:0,});   var point2s = [        new BMap.Point(112.586149,26.913201),        new BMap.Point(112.58464,26.909432),        new BMap.Point(112.585143,26.899219),        new BMap.Point(112.600953,26.898832),        new BMap.Point(112.607421,26.900572),        new BMap.Point(112.606631,26.904825),        new BMap.Point(112.606523,26.909142),        new BMap.Point(112.59772,26.909399),      ];//创建标注点并添加到地图中function addMarker(points) {    //循环建立标注点    for(var i=0, pointsLen = points.length; i<pointsLen; i++) {        var marker = new BMap.Marker(points[i]); //将点转化成标注点        map.addOverlay(marker);  //将标注点添加到地图上        //添加监听事件        (function() {            var thePoint = points[i];            marker.addEventListener("click",                function() {                showInfo(this,thePoint);            });         })();      }}function showInfo(thisMarker,point) {    //判断点是否在    if(BMapLib.GeoUtils.isPointInPolygon(point,polygon2)){      var infoWindow = new BMap.InfoWindow("在区域内");      thisMarker.openInfoWindow(infoWindow); //图片加载完后重绘infoWindow  }else  {     var infoWindow = new BMap.InfoWindow("不在区域内");      thisMarker.openInfoWindow(infoWindow); //图片加载完后重绘infoWindow  }}function initialize() {      alert("点击标注点可以显示是否在区域内");  // 百度地图API功能    map.addControl(new BMap.NavigationControl());               // 添加平移缩放控件    map.addControl(new BMap.ScaleControl());                    // 添加比例尺控件    map.addControl(new BMap.OverviewMapControl());              //添加缩略地图控件    map.enableScrollWheelZoom();                            //启用滚轮放大缩小    map.addControl(new BMap.MapTypeControl());          //添加地图类型控件      var point = new BMap.Point(112.595384,26.904631);    // 创建点坐标          map.centerAndZoom(point,15);                      // 初始化地图,设置中心点坐标和地图级别。          addMarker(point2s);   map.addOverlay(polygon2);}  initialize();</script>