GPS坐标互转：WGS-84(GPS)、GCJ-02(Google地图)、BD-09(百度地图)(转载)

时间：2022-10-11 11:55:00

WGS-84：是国际标准，GPS坐标（Google Earth使用、或者GPS模块）
GCJ-02：中国坐标偏移标准，Google Map、高德、腾讯使用
BD-09：百度坐标偏移标准，Baidu Map使用
//WGS-84 to GCJ-02
GPS.gcj_encrypt();
//GCJ-02 to WGS-84 粗略
GPS.gcj_decrypt();
//GCJ-02 to WGS-84 精确(二分极限法)
// var threshold = 0.000000001; 目前设置的是精确到小数点后9位，这个值越小，越精确，但是javascript中，浮点运算本身就不太精确，九位在GPS里也偏差不大了
GSP.gcj_decrypt_exact();
//GCJ-02 to BD-09
GPS.bd_encrypt();
//BD-09 to GCJ-02
GPS.bd_decrypt();
//求距离
GPS.distance();
示例：
document.write("GPS: 39.933676862706776,116.35608315379092<br />");
var arr2 = GPS.gcj_encrypt(39.933676862706776, 116.35608315379092);
document.write("中国:" + arr2['lat']+","+arr2['lon']+'<br />');
var arr3 = GPS.gcj_decrypt_exact(arr2['lat'], arr2['lon']);
document.write('逆算:' + arr3['lat']+","+arr3['lon']+' 需要和第一行相似（目前是小数点后9位相等）');
本算法 gcj算法、bd算法都非常精确，已经测试通过。
（BD转换的结果和百度提供的接口精确到小数点后4位）
请放心使用

JavaScript代码：

var GPS = {

    PI : 3.14159265358979324,

    x_pi : 3.14159265358979324 * 3000.0 / 180.0,

    delta : function (lat, lon) {

        // Krasovsky 1940

        //

        // a = 6378245.0, 1/f = 298.3

        // b = a * (1 - f)

        // ee = (a^2 - b^2) / a^2;

        var a = 6378245.0; //  a: 卫星椭球坐标投影到平面地图坐标系的投影因子。

        var ee = 0.00669342162296594323; //  ee: 椭球的偏心率。

        var dLat = this.transformLat(lon - 105.0, lat - 35.0);

        var dLon = this.transformLon(lon - 105.0, lat - 35.0);

        var radLat = lat / 180.0 * this.PI;

        var magic = Math.sin(radLat);

        magic = 1 - ee * magic * magic;

        var sqrtMagic = Math.sqrt(magic);

        dLat = (dLat * 180.0) / ((a * (1 - ee)) / (magic * sqrtMagic) * this.PI);

        dLon = (dLon * 180.0) / (a / sqrtMagic * Math.cos(radLat) * this.PI);

        return {'lat': dLat, 'lon': dLon};

    },

    //WGS-84 to GCJ-02

    gcj_encrypt : function (wgsLat, wgsLon) {

        if (this.outOfChina(wgsLat, wgsLon))

            return {'lat': wgsLat, 'lon': wgsLon};

        var d = this.delta(wgsLat, wgsLon);

        return {'lat' : wgsLat + d.lat,'lon' : wgsLon + d.lon};

    },

    //GCJ-02 to WGS-84

    gcj_decrypt : function (gcjLat, gcjLon) {

        if (this.outOfChina(gcjLat, gcjLon))

            return {'lat': gcjLat, 'lon': gcjLon};

        var d = this.delta(gcjLat, gcjLon);

        return {'lat': gcjLat - d.lat, 'lon': gcjLon - d.lon};

    },

    //GCJ-02 to WGS-84 exactly

    gcj_decrypt_exact : function (gcjLat, gcjLon) {

        var initDelta = 0.01;

        var threshold = 0.000000001;

        var dLat = initDelta, dLon = initDelta;

        var mLat = gcjLat - dLat, mLon = gcjLon - dLon;

        var pLat = gcjLat + dLat, pLon = gcjLon + dLon;

        var wgsLat, wgsLon, i = 0;

        while (1) {

            wgsLat = (mLat + pLat) / 2;

            wgsLon = (mLon + pLon) / 2;

            var tmp = this.gcj_encrypt(wgsLat, wgsLon)

            dLat = tmp.lat - gcjLat;

            dLon = tmp.lon - gcjLon;

            if ((Math.abs(dLat) < threshold) && (Math.abs(dLon) < threshold))

                break;

            if (dLat > 0) pLat = wgsLat; else mLat = wgsLat;

            if (dLon > 0) pLon = wgsLon; else mLon = wgsLon;

            if (++i > 10000) break;

        }

        //console.log(i);

        return {'lat': wgsLat, 'lon': wgsLon};

    },

    //GCJ-02 to BD-09

    bd_encrypt : function (gcjLat, gcjLon) {

        var x = gcjLon, y = gcjLat;

        var z = Math.sqrt(x * x + y * y) + 0.00002 * Math.sin(y * this.x_pi);

        var theta = Math.atan2(y, x) + 0.000003 * Math.cos(x * this.x_pi);

        bdLon = z * Math.cos(theta) + 0.0065;

        bdLat = z * Math.sin(theta) + 0.006;

        return {'lat' : bdLat,'lon' : bdLon};

    },

    //BD-09 to GCJ-02

    bd_decrypt : function (bdLat, bdLon) {

        var x = bdLon - 0.0065, y = bdLat - 0.006;

        var z = Math.sqrt(x * x + y * y) - 0.00002 * Math.sin(y * this.x_pi);

        var theta = Math.atan2(y, x) - 0.000003 * Math.cos(x * this.x_pi);

        var gcjLon = z * Math.cos(theta);

        var gcjLat = z * Math.sin(theta);

        return {'lat' : gcjLat, 'lon' : gcjLon};

    },

    //WGS-84 to Web mercator

    //mercatorLat -> y mercatorLon -> x

    mercator_encrypt : function(wgsLat, wgsLon) {

        var x = wgsLon * 20037508.34 / 180.;

        var y = Math.log(Math.tan((90. + wgsLat) * this.PI / 360.)) / (this.PI / 180.);

        y = y * 20037508.34 / 180.;

        return {'lat' : y, 'lon' : x};

        /*

        if ((Math.abs(wgsLon) > 180 || Math.abs(wgsLat) > 90))

            return null;

        var x = 6378137.0 * wgsLon * 0.017453292519943295;

        var a = wgsLat * 0.017453292519943295;

        var y = 3189068.5 * Math.log((1.0 + Math.sin(a)) / (1.0 - Math.sin(a)));

        return {'lat' : y, 'lon' : x};

        //*/

    },

    // Web mercator to WGS-84

    // mercatorLat -> y mercatorLon -> x

    mercator_decrypt : function(mercatorLat, mercatorLon) {

        var x = mercatorLon / 20037508.34 * 180.;

        var y = mercatorLat / 20037508.34 * 180.;

        y = 180 / this.PI * (2 * Math.atan(Math.exp(y * this.PI / 180.)) - this.PI / 2);

        return {'lat' : y, 'lon' : x};

        /*

        if (Math.abs(mercatorLon) < 180 && Math.abs(mercatorLat) < 90)

            return null;

        if ((Math.abs(mercatorLon) > 20037508.3427892) || (Math.abs(mercatorLat) > 20037508.3427892))

            return null;

        var a = mercatorLon / 6378137.0 * 57.295779513082323;

        var x = a - (Math.floor(((a + 180.0) / 360.0)) * 360.0);

        var y = (1.5707963267948966 - (2.0 * Math.atan(Math.exp((-1.0 * mercatorLat) / 6378137.0)))) * 57.295779513082323;

        return {'lat' : y, 'lon' : x};

        //*/

    },

    // two point's distance

    distance : function (latA, lonA, latB, lonB) {

        var earthR = 6371000.;

        var x = Math.cos(latA * this.PI / 180.) * Math.cos(latB * this.PI / 180.) * Math.cos((lonA - lonB) * this.PI / 180);

        var y = Math.sin(latA * this.PI / 180.) * Math.sin(latB * this.PI / 180.);

        var s = x + y;

        if (s > 1) s = 1;

        if (s < -1) s = -1;

        var alpha = Math.acos(s);

        var distance = alpha * earthR;

        return distance;

    },

    outOfChina : function (lat, lon) {

        if (lon < 72.004 || lon > 137.8347)

            return true;

        if (lat < 0.8293 || lat > 55.8271)

            return true;

        return false;

    },

    transformLat : function (x, y) {

        var ret = -100.0 + 2.0 * x + 3.0 * y + 0.2 * y * y + 0.1 * x * y + 0.2 * Math.sqrt(Math.abs(x));

        ret += (20.0 * Math.sin(6.0 * x * this.PI) + 20.0 * Math.sin(2.0 * x * this.PI)) * 2.0 / 3.0;

        ret += (20.0 * Math.sin(y * this.PI) + 40.0 * Math.sin(y / 3.0 * this.PI)) * 2.0 / 3.0;

        ret += (160.0 * Math.sin(y / 12.0 * this.PI) + 320 * Math.sin(y * this.PI / 30.0)) * 2.0 / 3.0;

        return ret;

    },

    transformLon : function (x, y) {

        var ret = 300.0 + x + 2.0 * y + 0.1 * x * x + 0.1 * x * y + 0.1 * Math.sqrt(Math.abs(x));

        ret += (20.0 * Math.sin(6.0 * x * this.PI) + 20.0 * Math.sin(2.0 * x * this.PI)) * 2.0 / 3.0;

        ret += (20.0 * Math.sin(x * this.PI) + 40.0 * Math.sin(x / 3.0 * this.PI)) * 2.0 / 3.0;

        ret += (150.0 * Math.sin(x / 12.0 * this.PI) + 300.0 * Math.sin(x / 30.0 * this.PI)) * 2.0 / 3.0;

        return ret;

    }

};
PHP代码
<?php

class GPS {

    private $PI = 3.14159265358979324;

    private $x_pi = 0;

    public function __construct()

    {

        $this->x_pi = 3.14159265358979324 * 3000.0 / 180.0;

    }

    //WGS-84 to GCJ-02

    public function gcj_encrypt($wgsLat, $wgsLon) {

        if ($this->outOfChina($wgsLat, $wgsLon))

            return array('lat' => $wgsLat, 'lon' => $wgsLon);

        $d = $this->delta($wgsLat, $wgsLon);

        return array('lat' => $wgsLat + $d['lat'],'lon' => $wgsLon + $d['lon']);

    }

    //GCJ-02 to WGS-84

    public function gcj_decrypt($gcjLat, $gcjLon) {

        if ($this->outOfChina($gcjLat, $gcjLon))

            return array('lat' => $gcjLat, 'lon' => $gcjLon);

        $d = $this->delta($gcjLat, $gcjLon);

        return array('lat' => $gcjLat - $d['lat'], 'lon' => $gcjLon - $d['lon']);

    }

    //GCJ-02 to WGS-84 exactly

    public function gcj_decrypt_exact($gcjLat, $gcjLon) {

        $initDelta = 0.01;

        $threshold = 0.000000001;

        $dLat = $initDelta; $dLon = $initDelta;

        $mLat = $gcjLat - $dLat; $mLon = $gcjLon - $dLon;

        $pLat = $gcjLat + $dLat; $pLon = $gcjLon + $dLon;

        $wgsLat = 0; $wgsLon = 0; $i = 0;

        while (TRUE) {

            $wgsLat = ($mLat + $pLat) / 2;

            $wgsLon = ($mLon + $pLon) / 2;

            $tmp = $this->gcj_encrypt($wgsLat, $wgsLon);

            $dLat = $tmp['lat'] - $gcjLat;

            $dLon = $tmp['lon'] - $gcjLon;

            if ((abs($dLat) < $threshold) && (abs($dLon) < $threshold))

                break;

            if ($dLat > 0) $pLat = $wgsLat; else $mLat = $wgsLat;

            if ($dLon > 0) $pLon = $wgsLon; else $mLon = $wgsLon;

            if (++$i > 10000) break;

        }

        //console.log(i);

        return array('lat' => $wgsLat, 'lon'=> $wgsLon);

    }

    //GCJ-02 to BD-09

    public function bd_encrypt($gcjLat, $gcjLon) {

        $x = $gcjLon; $y = $gcjLat;

        $z = sqrt($x * $x + $y * $y) + 0.00002 * sin($y * $this->x_pi);

        $theta = atan2($y, $x) + 0.000003 * cos($x * $this->x_pi);

        $bdLon = $z * cos($theta) + 0.0065;

        $bdLat = $z * sin($theta) + 0.006;

        return array('lat' => $bdLat,'lon' => $bdLon);

    }

    //BD-09 to GCJ-02

    public function bd_decrypt($bdLat, $bdLon)

    {

        $x = $bdLon - 0.0065; $y = $bdLat - 0.006;

        $z = sqrt($x * $x + $y * $y) - 0.00002 * sin($y * $this->x_pi);

        $theta = atan2($y, $x) - 0.000003 * cos($x * $this->x_pi);

        $gcjLon = $z * cos($theta);

        $gcjLat = $z * sin($theta);

        return array('lat' => $gcjLat, 'lon' => $gcjLon);

    }

    //WGS-84 to Web mercator

    //$mercatorLat -> y $mercatorLon -> x

    public function mercator_encrypt($wgsLat, $wgsLon)

    {

        $x = $wgsLon * 20037508.34 / 180.;

        $y = log(tan((90. + $wgsLat) * $this->PI / 360.)) / ($this->PI / 180.);

        $y = $y * 20037508.34 / 180.;

        return array('lat' => $y, 'lon' => $x);

        /*

        if ((abs($wgsLon) > 180 || abs($wgsLat) > 90))

            return NULL;

        $x = 6378137.0 * $wgsLon * 0.017453292519943295;

        $a = $wgsLat * 0.017453292519943295;

        $y = 3189068.5 * log((1.0 + sin($a)) / (1.0 - sin($a)));

        return array('lat' => $y, 'lon' => $x);

        //*/

    }

    // Web mercator to WGS-84

    // $mercatorLat -> y $mercatorLon -> x

    public function mercator_decrypt($mercatorLat, $mercatorLon)

    {

        $x = $mercatorLon / 20037508.34 * 180.;

        $y = $mercatorLat / 20037508.34 * 180.;

        $y = 180 / $this->PI * (2 * atan(exp($y * $this->PI / 180.)) - $this->PI / 2);

        return array('lat' => $y, 'lon' => $x);

        /*

        if (abs($mercatorLon) < 180 && abs($mercatorLat) < 90)

            return NULL;

        if ((abs($mercatorLon) > 20037508.3427892) || (abs($mercatorLat) > 20037508.3427892))

            return NULL;

        $a = $mercatorLon / 6378137.0 * 57.295779513082323;

        $x = $a - (floor((($a + 180.0) / 360.0)) * 360.0);

        $y = (1.5707963267948966 - (2.0 * atan(exp((-1.0 * $mercatorLat) / 6378137.0)))) * 57.295779513082323;

        return array('lat' => $y, 'lon' => $x);

        //*/

    }

    // two point's distance

    public function distance($latA, $lonA, $latB, $lonB)

    {

        $earthR = 6371000.;

        $x = cos($latA * $this->PI / 180.) * cos($latB * $this->PI / 180.) * cos(($lonA - $lonB) * $this->PI / 180);

        $y = sin($latA * $this->PI / 180.) * sin($latB * $this->PI / 180.);

        $s = $x + $y;

        if ($s > 1) $s = 1;

        if ($s < -1) $s = -1;

        $alpha = acos($s);

        $distance = $alpha * $earthR;

        return $distance;

    }

    private function delta($lat, $lon)

    {

        // Krasovsky 1940

        //

        // a = 6378245.0, 1/f = 298.3

        // b = a * (1 - f)

        // ee = (a^2 - b^2) / a^2;

        $a = 6378245.0;//  a: 卫星椭球坐标投影到平面地图坐标系的投影因子。

        $ee = 0.00669342162296594323;//  ee: 椭球的偏心率。

        $dLat = $this->transformLat($lon - 105.0, $lat - 35.0);

        $dLon = $this->transformLon($lon - 105.0, $lat - 35.0);

        $radLat = $lat / 180.0 * $this->PI;

        $magic = sin($radLat);

        $magic = 1 - $ee * $magic * $magic;

        $sqrtMagic = sqrt($magic);

        $dLat = ($dLat * 180.0) / (($a * (1 - $ee)) / ($magic * $sqrtMagic) * $this->PI);

        $dLon = ($dLon * 180.0) / ($a / $sqrtMagic * cos($radLat) * $this->PI);

        return array('lat' => $dLat, 'lon' => $dLon);

    }

    private function outOfChina($lat, $lon)

    {

        if ($lon < 72.004 || $lon > 137.8347)

            return TRUE;

        if ($lat < 0.8293 || $lat > 55.8271)

            return TRUE;

        return FALSE;

    }

    private function transformLat($x, $y) {

        $ret = -100.0 + 2.0 * $x + 3.0 * $y + 0.2 * $y * $y + 0.1 * $x * $y + 0.2 * sqrt(abs($x));

        $ret += (20.0 * sin(6.0 * $x * $this->PI) + 20.0 * sin(2.0 * $x * $this->PI)) * 2.0 / 3.0;

        $ret += (20.0 * sin($y * $this->PI) + 40.0 * sin($y / 3.0 * $this->PI)) * 2.0 / 3.0;

        $ret += (160.0 * sin($y / 12.0 * $this->PI) + 320 * sin($y * $this->PI / 30.0)) * 2.0 / 3.0;

        return $ret;

    }

    private function transformLon($x, $y) {

        $ret = 300.0 + $x + 2.0 * $y + 0.1 * $x * $x + 0.1 * $x * $y + 0.1 * sqrt(abs($x));

        $ret += (20.0 * sin(6.0 * $x * $this->PI) + 20.0 * sin(2.0 * $x * $this->PI)) * 2.0 / 3.0;

        $ret += (20.0 * sin($x * $this->PI) + 40.0 * sin($x / 3.0 * $this->PI)) * 2.0 / 3.0;

        $ret += (150.0 * sin($x / 12.0 * $this->PI) + 300.0 * sin($x / 30.0 * $this->PI)) * 2.0 / 3.0;

        return $ret;

    }

}

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