PHP 判断点是否在多边形内

如何判断一个点是否在一个多边形内，何时会用到这个场景。

我们就模拟一个真是场景。我们公司是快递公司，在本地区域有6个分点。每个分点有3-5个工人负责附近的快递派遣发送，所以根据每个点的服务区域我们就能大概知道我们的服务范围。如果客户要收发快递我们会告知是否在服务范围内，且那个点离的最近，应派谁去收发快递。……

网上其实找了好多判断点是否在经纬度的多边形内，但都是Javascript版：

http://www.voidcn.com/blog/jq_develop/article/p-3221513.html

http://www.html-js.com/article/1528

http://api.map.baidu.com/library/GeoUtils/1.2/examples/simple.html

google算法：

https://en.wikipedia.org/wiki/Geohash

其中第三个是百度官网的一个示例

查看源码，百度里面有一个http://api.map.baidu.com/library/GeoUtils/1.2/src/GeoUtils_min.js文件

其中isPointInPolygon方法就是判断点是否在多边形内部

//点在多边形内
function ptInPolygon(){
    var pts = [];
    var pt1 = new BMap.Point(116.395, 39.910);
    var pt2 = new BMap.Point(116.394, 39.914);
    var pt3 = new BMap.Point(116.403, 39.920);
    var pt4 = new BMap.Point(116.402, 39.914);
    var pt5 = new BMap.Point(116.410, 39.913);    
    
    pts.push(pt1);
    pts.push(pt2);
    pts.push(pt3);
    pts.push(pt4);
    pts.push(pt5);  
    var ply = new BMap.Polygon(pts);
    
    var pt =new BMap.Point(116.400, 39.914);
    
    var result = BMapLib.GeoUtils.isPointInPolygon(pt, ply);
    if(result == true){
        alert("点在多边形内");
    } else {
        alert("点在多边形外")
    } 
    
    //演示：将面添加到地图上    
    map.clearOverlays();
    var mkr = new BMap.Marker(pt);
    map.addOverlay(mkr);
    map.addOverlay(ply);      
}

PHP版的也有好几个，都是翻译Javascript但试了下，几乎没一个可以判断验证的。后来在一个论坛中找到了一个很精准的计算多边形内代码，贴出来和大家分享

  
  $point=[
      'lng'=>121.427417,
      'lat'=>31.20357
  ];
  $arr=[
      [
          'lng'=>121.23036,
          'lat'=>31.218609
      ],
      [
          'lng'=>121.233666,
          'lat'=>31.210579
      ],
      [
          'lng'=>121.247177,
          'lat'=>31.206749
      ],
      [
          'lng'=>121.276353,
          'lat'=>31.190811
      ],
      [
          'lng'=>121.267442,
          'lat'=>31.237383
      ],
  ];
  
  $a= is_point_in_polygon($point, $arr);
  var_dump($a);


/**
 * 判断一个坐标是否在一个多边形内（由多个坐标围成的）
 * 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。
 * @param $point 指定点坐标
 * @param $pts 多边形坐标 顺时针方向
 */
function is_point_in_polygon($point, $pts) {
    $N = count($pts);
    $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
    $intersectCount = 0;//cross points count of x 
    $precision = 2e-10; //浮点类型计算时候与0比较时候的容差
    $p1 = 0;//neighbour bound vertices
    $p2 = 0;
    $p = $point; //测试点
 
    $p1 = $pts[0];//left vertex        
    for ($i = 1; $i <= $N; ++$i) {//check all rays
        // dump($p1);
        if ($p['lng'] == $p1['lng'] && $p['lat'] == $p1['lat']) {
            return $boundOrVertex;//p is an vertex
        }
         
        $p2 = $pts[$i % $N];//right vertex            
        if ($p['lat'] < min($p1['lat'], $p2['lat']) || $p['lat'] > max($p1['lat'], $p2['lat'])) {//ray is outside of our interests
            $p1 = $p2; 
            continue;//next ray left point
        }
         
        if ($p['lat'] > min($p1['lat'], $p2['lat']) && $p['lat'] < max($p1['lat'], $p2['lat'])) {//ray is crossing over by the algorithm (common part of)
            if($p['lng'] <= max($p1['lng'], $p2['lng'])){//x is before of ray
                if ($p1['lat'] == $p2['lat'] && $p['lng'] >= min($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
                    $xinters = ($p['lat'] - $p1['lat']) * ($p2['lng'] - $p1['lng']) / ($p2['lat'] - $p1['lat']) + $p1['lng'];//cross point of lng
                    if (abs($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
                $p3 = $pts[($i+1) % $N]; //next vertex
                if ($p['lat'] >= min($p1['lat'], $p3['lat']) && $p['lat'] <= max($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;
    }
}

打印：bool(false)

将

  $point=[
      'lng'=>121.427417,
      'lat'=>31.20357
  ];

替换为

  $point=[
      'lng'=>121.257428,
      'lat'=>31.222481 
  ];

打印：bool(true)

-------------  扩展  -------------------------

在百度地图上绘制多边形并保存绘制的点的经纬度

<!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{width: 100%;height: 100%;margin:0;font-family:"微软雅黑";}
            #allmap {width: 100%; height:500px; overflow: hidden;}
            #result {width:100%;font-size:12px;}
            dl,dt,dd,ul,li{
                margin:0;
                padding:0;
                list-style:none;
            }
            p{font-size:12px;}
            dt{
                font-size:14px;
                font-family:"微软雅黑";
                font-weight:bold;
                border-bottom:1px dotted #000;
                padding:5px 0 5px 5px;
                margin:5px 0;
            }
            dd{
                padding:5px 0 0 5px;
            }
            li{
                line-height:28px;
            }
        </style>
        <script type="text/javascript" src="http://api.map.baidu.com/api?v=2.0&ak=25eb303c9c5df0ec2424fa86816437da"></script>
        <!--加载鼠标绘制工具-->
        <script type="text/javascript" src="http://api.map.baidu.com/library/DrawingManager/1.4/src/DrawingManager_min.js"></script>
        <link rel="stylesheet" href="http://api.map.baidu.com/library/DrawingManager/1.4/src/DrawingManager_min.css" />
        <!--加载检索信息窗口-->
        <script type="text/javascript" src="http://api.map.baidu.com/library/SearchInfoWindow/1.4/src/SearchInfoWindow_min.js"></script>
        <link rel="stylesheet" href="http://api.map.baidu.com/library/SearchInfoWindow/1.4/src/SearchInfoWindow_min.css" />
        <script src="http://apps.bdimg.com/libs/jquery/1.10.2/jquery.min.js"></script>
        <title>鼠标绘制工具</title>
    </head>
    <body>
        <div id="allmap" style="overflow:hidden;zoom:1;position:relative;">    
            <div id="map" style="height:100%;-webkit-transition: all 0.5s ease-in-out;transition: all 0.5s ease-in-out;"></div>
        </div> 
        <div>
            <input type="button" class="btn_gray"  value="添加多边形" onclick="addPolyline()">
            <input type="button" class="btn_gray" value="保存数据" onclick="saveData()">
        </div>

        <script type="text/javascript">
            //记录marker、label、polyline的个数
            var NUM_MARKER = 0,
                    NUM_LABEL = 0,
                    NUM_POLYLINE = 0;

            var polyDefaultStyle = {
                strokeColor: "#f00",
                strokeOpacity: 0.6,
                strokeWeight: 4
            }
            /*
             *用于存储地图各个配置项的数据结构
             *包括：地图中心点、地图的监听事件、地图的控件、地图上的覆盖物等信息
             *用于获取代码的时候绘制地图
             */
            var config = {
                city: "北京",
                center_point: new BMap.Point(116.403874, 39.914889),
                zoom: 12,
                container_ 700,
                container_height: 550,
                enableScrollWheelZoom: true,
                enableKeyboard: true,
                enableDragging: true,
                enableDoubleClickZoom: true,
                scale_control: {
                    added: true,
                    anchor: "BMAP_ANCHOR_BOTTOM_LEFT",
                    type: "BMAP_UNIT_IMPERIAL"
                },
                nav_control: {
                    added: true,
                    anchor: "BMAP_ANCHOR_TOP_LEFT",
                    type: "BMAP_NAVIGATION_CONTROL_LARGE"
                },
                overview_control: {
                    added: true,
                    anchor: "BMAP_ANCHOR_BOTTOM_RIGHT",
                    isopen: true
                },
                label_array: [],
                label_config: [],
                marker_array: [],
                marker_config: [],
                polyline_config: [],
                polyline_array: [],
                polyline_name_array: []
            }



            // 百度地图API功能
            var map = new BMap.Map('map');
            var poi = new BMap.Point(116.307852, 40.057031);
            map.centerAndZoom(poi, 16);
            map.enableScrollWheelZoom();




            function drawMap(areaStr) {
                var areaObj = JSON.parse(areaStr);
                if (areaObj) {
                    //清空服务范围缓存
                    config.polyline_array = [];
                    //对服务范围数据进行遍历
                    for (var len = 0; len < areaObj.service_area.length; len++) {
                        var area_item = areaObj.service_area[len];
                        if (area_item) {
                            var polyPoint = [];
                            var name = area_item.name;
                            var points = area_item.points;
                            for (var p_num = 0; p_num < points.length; p_num++) {
                                var point = new BMap.Point(points[p_num].lng, points[p_num].lat);
                                polyPoint.push(point);
                                if (p_num == 0) {
                                    map.centerAndZoom(point, 12);
                                }
                            }
                            //在地图上绘制服务范围区域
                            var polygon = new BMap.Polygon(polyPoint, {
                                strokeColor: polyDefaultStyle.strokeColor,
                                strokeWeight: polyDefaultStyle.strokeWeight,
                                strokeOpacity: polyDefaultStyle.strokeOpacity});
                            map.addOverlay(polygon);

                            //将服务范围加入到缓存中
                            config.polyline_array.push(polygon);
                            config.polyline_name_array.push(name);
                        }
                    }
                }
            }




           var ranges = '{"service_area":[{"name":"多边形1","points":[{"lng":121.23036,"lat":31.218609},{"lng":121.233666,"lat":31.210579},{"lng":121.247177,"lat":31.206749},{"lng":121.276353,"lat":31.190811},{"lng":121.267442,"lat":31.237383}]}]}';
            setTimeout(function () {
                drawMap(ranges);
            }, 1000);
        </script>

        <script>
            // 此变量在添加标注功能时，用于记录当前的click事件的处理函数
            var clickHandler;
            //鼠标样式
            var cursorStyle = {
                "ol_marker": "hand",
                "ol_polygen": "crosshair",
                "ol_label": "text",
                "default": "auto"
            };
            //添加标注时，鼠标的label信息
            var labelInfo = {
                "ol_marker": "左键标记，右键退出",
                "ol_polygen": "左键单击开始画线，双击结束画线，右键退出",
                "ol_label": "左键标记，右键退出",
                "drawing_line": "双击结束画线"
            };
            //显示鼠标提示信息
            function cursorLableShow() {
                cursorLabel.show();
            }

            //隐藏鼠标提示信息
            function cursorLabelHide() {
                cursorLabel.hide();
            }
            //声明和初始化跟随鼠标移动的label
            var cursorLabel = new BMap.Label();
            cursorLabel.setOffset(new BMap.Size(10, 10));
            cursorLabel.hide();
            //退出标注的绘制。需要清除掉map上click的处理函数。并把鼠标设置为默认的样式
            function exitDrawing(handlerToRemove) {
                cursorLabel.hide();
                map.setDefaultCursor(cursorStyle["default"]);
                map.removeEventListener("click", handlerToRemove);
                map.removeEventListener("mouseout", cursorLabelHide);
                map.removeEventListener("mouseover", cursorLableShow);
            }
            //添加polyline的具体操作
            function addPolyline() {
//                initPanel(); 

                //如果click已经有事件处理函数，先清除掉
                if (clickHandler)
                    exitDrawing(clickHandler);

                map.setDefaultCursor(cursorStyle["ol_polygen"]);
                var polyPoint = [];
                var polyline = null;

                /*
                 * click事件的监听事件
                 * 如果没有初始化polyline变量，则初始化polyline并添加到地图
                 * 如果已经初始化了polyline变量，则将click的经纬度加到polyline 的路径中，并重新设定设定polyline的path
                 */
                function addPolyClickHandler(e) {
                    cursorLabel.setContent(labelInfo["drawing_line"]);

                    var point = e.point;
                    polyPoint.push(point);

                    //画多边形
                    if (!polyline) {
                        polyline = new BMap.Polygon(polyPoint, {
                            strokeColor: polyDefaultStyle.strokeColor,
                            strokeWeight: polyDefaultStyle.strokeWeight,
                            strokeOpacity: polyDefaultStyle.strokeOpacity});
                        polyline.setPath(polyPoint);
                        map.addOverlay(polyline);
                        polyPoint.length++;
                    } else {
                        polyline.setPath(polyPoint);
                    }
                }

                /*
                 * 双击(dbclick)事件的监听事件
                 * 清除为绘制polyline添加的几个监听函数
                 * 将polyline变量保存到config变量中
                 */
                function addPolyDdclickHandler(e) {
                    exitDrawing(addPolyClickHandler);
                    if (polyline) {
                        polyline.addEventListener("mouseover", function (e) {
                            polyline.enableEditing();
                        });
                        polyline.addEventListener("mouseout", function (e) {
                            polyline.disableEditing();
                        });
                        config.polyline_array.push(polyline);
                        config.polyline_config.push({path: polyline.getPath(),
                            strokeColor: polyDefaultStyle.strokeColor,
                            strokeWeight: polyDefaultStyle.strokeWeight,
                            strokeOpacity: polyDefaultStyle.strokeOpacity});

                        var name = "多边形" + config.polyline_array.length;
                        config.polyline_name_array.push(name);
                    }

                    map.removeEventListener("click", addPolyClickHandler);
                    map.removeEventListener("mousemove", polyMoveHandler);
                    map.removeEventListener("dblclick", addPolyDdclickHandler);
                    map.removeEventListener("rightclick", polyRemove);

                    //如果有允许双击放大地图，则重新加上
                    setTimeout(function () {
                        if (config.enableDoubleClickZoom)
                            map.enableDoubleClickZoom();
                    }, 1000);
                }

                //鼠标移动事件的监听函数
                function polyMoveHandler(e) {
                    if (!polyline)
                        return;
                    if (polyPoint.length > 0) {
                        polyPoint[polyPoint.length - 1] = e.point; 
                        cursorLabel.show();
                        cursorLabel.setPosition(e.point);
                        polyline.setPath(polyPoint);
                    }
                }

                //取消绘制折线
                function polyRemove(e) {
                    map.removeOverlay(polyline);
                    exitDrawing(addPolyClickHandler);

                    //如果有允许双击放大地图，则重新加上
                    setTimeout(function () {
                        if (config.enableDoubleClickZoom)
                            map.enableDoubleClickZoom();
                    }, 1000);
                }

                clickHandler = addPolyClickHandler;

                map.disableDoubleClickZoom();
                map.addEventListener("click", addPolyClickHandler);
                map.addEventListener("mousemove", polyMoveHandler);
                map.addEventListener("dblclick", addPolyDdclickHandler);
                map.addEventListener("rightclick", polyRemove);
            }


            /*
             * 保存服务范围数据
             */
            function saveData() {
                if (config.polyline_array) {
                    var area = {
                        "service_area": []
                    };
                    for (var len = 0; len < config.polyline_array.length; len++) {
                        var pl = config.polyline_array[len];
                        if (pl != null) {
                            var points_json = [];
                            var points = pl.getPath();
                            for (var p_num = 0; p_num < points.length; p_num++) {
                                var point = {
                                    "lng": points[p_num].lng,
                                    "lat": points[p_num].lat
                                }
                                points_json[p_num] = point;
                            }
                            var item_json = {
                                "name": config.polyline_name_array[len],
                                "points": points_json
                            }
                            area.service_area[len] = item_json;
                        }
                    }
                    localStorage.setItem("area", JSON.stringify(area));
              
                    var gid = "2318";  //getQueryString("gid")
                    var city = "上海";  // getQueryString("city");
//                    var ranges = JSON.stringify(area);
                     var ranges = [{"city":city,"ranges":JSON.stringify(area)}];
                    var url = "/?ranges=" + JSON.stringify(ranges);

                    $.ajax({
                        type: 'get',
                        url: url,
                        data: {},
                        dataType: 'json',
                        async: false, //同步
                        crossDomain: true,
                        withCredentials: true,
                        success: function (data) {
                            if (data.code == 0) {
                                alert("保存成功");
                            }
                        },
                        error: function (error, type) {
                            alert("type:" + type + "error:" + error);
                            if (type == "abort") {
                                showAbortToast();
                            } else if (type == "timeout") {
                                showTimeoutToast();
                            }
                        }
                    });
                }
            }
        </script>
    </body>
</html>

访问效果：

保存数据：

[{"city":"上海","ranges":"{"service_area":[{"name":"多边形1","points":[{"lng":121.23036,"lat":31.218609},{"lng":121.233666,"lat":31.210579},{"lng":121.247177,"lat":31.206749},{"lng":121.276353,"lat":31.190811},{"lng":121.267442,"lat":31.237383}]},{"name":"多边形2","points":[{"lng":121.05846,"lat":31.257636},{"lng":121.044662,"lat":31.151385},{"lng":121.165969,"lat":31.157318},{"lng":121.165969,"lat":31.157318},{"lng":121.165969,"lat":31.157318}]},{"name":"多边形3","points":[{"lng":121.16482,"lat":31.269489},{"lng":121.165395,"lat":31.235901},{"lng":121.19414,"lat":31.240347},{"lng":121.201614,"lat":31.262081},{"lng":121.243583,"lat":31.279859},{"lng":121.244733,"lat":31.249239},{"lng":121.207363,"lat":31.293191},{"lng":121.207363,"lat":31.293191},{"lng":121.207363,"lat":31.293191},{"lng":121.207363,"lat":31.293191}]},{"name":"多边形4","points":[{"lng":121.371789,"lat":31.274921},{"lng":121.326946,"lat":31.208232},{"lng":121.36719,"lat":31.136055},{"lng":121.552888,"lat":31.167701},{"lng":121.590257,"lat":31.154352},{"lng":121.623602,"lat":31.223056},{"lng":121.560936,"lat":31.280353},{"lng":121.519542,"lat":31.300102},{"lng":121.519542,"lat":31.300102},{"lng":121.519542,"lat":31.300102},{"lng":121.450553,"lat":31.252203}]}]}"}]

还有一个编辑和保存多边形文件是复制百度地图生成器样式修改的。

百度地图生成器：http://api.map.baidu.com/lbsapi/createmap/

文件下载：http://files.cnblogs.com/files/dcb3688/baiduPolyLine.7z

效果：

2017-03-2更新：升级版百度多边形编辑

http://files.cnblogs.com/files/dcb3688/baiduPolyLine2.7z