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GPS坐標互轉：WGS-84(GPS)、GCJ-02(Google地圖)、BD-09(百度地圖)

Paul_King / 681人閱讀

摘要：轉換的結果和百度提供的接口精確到小數點后位請放心使用衛星橢球坐標投影到平面地圖坐標系的投影因子。

WGS-84：是國際標準，GPS坐標（Google Earth使用、或者GPS模塊）

GCJ-02：中國坐標偏移標準，Google Map、高德、騰訊使用

BD-09：百度坐標偏移標準，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 精確(二分極限法) 
// var threshold = 0.000000001; 目前設置的是精確到小數點后9位，這個值越小，越精確，但是javascript中，浮點運算本身就不太精確，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();
求距離 
GPS.distance();
示例： 
document.write("GPS: 39.933676862706776,116.35608315379092
");
var arr2 = GPS.gcj_encrypt(39.933676862706776, 116.35608315379092);
document.write("中國:" + arr2["lat"]+","+arr2["lon"]+"
");
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（目前是小數點后9位相等）");
本算法 gcj算法、bd算法都非常精確，已經測試通過。
（BD轉換的結果和百度提供的接口精確到小數點后4位）
請放心使用
PHP 
x_pi = 3.14159265358979324 * 3000.0 / 180.0;
    }

    //WGS-84 to GCJ-02
    public function gcj_encrypt($wgsLat, $wgsLon) {
        //if ($this->outOfChina($wgsLat, $wgsLon))
        if (!$this->isInChina($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, $gcjLon))
        if (!$this->isInChina($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;
        /*
        $earthRadius = 6367000; //approximate radius of earth in meters  

        $latA = ($latA * $this->PI ) / 180;  
        $lonA = ($lonA * $this->PI ) / 180;  

        $latA = ($latA * $this->PI ) / 180;  
        $lonB = ($lonB * $this->PI ) / 180;  


        $calcLongitude = $lonB - $lonA;  
        $calcLatitude = $latA - $latA;  
        $stepOne = pow(sin($calcLatitude / 2), 2) + cos($latA) * cos($latA) * pow(sin($calcLongitude / 2), 2);    
        $stepTwo = 2 * asin(min(1, sqrt($stepOne)));  
        $calculatedDistance = $earthRadius * $stepTwo;  

        return round($calculatedDistance);  
         */
    }

    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: 衛星橢球坐標投影到平面地圖坐標系的投影因子。
        $ee = 0.00669342162296594323;//  ee: 橢球的偏心率。
        $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 rectangle($lng1, $lat1, $lng2, $lat2) {
        return array(
            "west" => min($lng1, $lng2),
            "north" => max($lat1, $lat2),
            "east" => max($lng1, $lng2),
            "south" => min($lat1, $lat2),
        );
    }

    private function isInRect($rect, $lon, $lat) {
        return $rect["west"] <= $lon && $rect["east"] >= $lon && $rect["north"] >= $lat && $rect["south"] <= $lat;
    }

    private function isInChina($lat, $lon) {
        //China region - raw data
        //http://www.cnblogs.com/Aimeast/archive/2012/08/09/2629614.html
        $region = array(
            $this->rectangle(79.446200, 49.220400, 96.330000,42.889900),
            $this->rectangle(109.687200, 54.141500, 135.000200, 39.374200),
            $this->rectangle(73.124600, 42.889900, 124.143255, 29.529700),
            $this->rectangle(82.968400, 29.529700, 97.035200, 26.718600),
            $this->rectangle(97.025300, 29.529700, 124.367395, 20.414096),
            $this->rectangle(107.975793, 20.414096, 111.744104, 17.871542),
        );

        //China excluded region - raw data
        $exclude = array(
            $this->rectangle(119.921265, 25.398623, 122.497559, 21.785006),
            $this->rectangle(101.865200, 22.284000, 106.665000, 20.098800),
            $this->rectangle(106.452500, 21.542200, 108.051000, 20.487800),
            $this->rectangle(109.032300, 55.817500, 119.127000, 50.325700),
            $this->rectangle(127.456800, 55.817500, 137.022700, 49.557400),
            $this->rectangle(131.266200, 44.892200, 137.022700, 42.569200),
        );
        for ($i = 0; $i < count($region); $i++)
            if ($this->isInRect($region[$i], $lon, $lat))
            {
                for ($j = 0; $j < count($exclude); j++)
                    if ($this->isInRect($exclude[$j], $lon, $lat))
                        return false;
                return true;
            }
        return false;
    }

    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;
    }
}
Javascript 
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: 衛星橢球坐標投影到平面地圖坐標系的投影因子。
        var ee = 0.00669342162296594323; //  ee: 橢球的偏心率。
        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))
        if (!this.isInChina(wgsLat, wgsLon))
            return {"lat": wgsLat, "lon": wgsLon};

        var d = this.delta(wgsLat, wgsLon);
        return {"lat" : parseFloat(wgsLat) + parseFloat(d.lat),"lon" : parseFloat(wgsLon) + parseFloat(d.lon)};
    },
    //GCJ-02 to WGS-84
    gcj_decrypt : function (gcjLat, gcjLon) {
        if (!this.isInChina(wgsLat, wgsLon))
        //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;
    },
    rectangle: function(lng1, lat1, lng2, lat2) {
        return {
            west : Math.min(lng1, lng2),
            north : Math.max(lat1, lat2),
            east : Math.max(lng1, lng2),
            south : Math.min(lat1, lat2)
        };
    },
    isInRect: function(rect, lon, lat) {
        return rect.west <= lon && rect.east >= lon && rect.north >= lat && rect.south <= lat;
    },
    isInChina:function(lat, lon) {
        //China region - raw data
        //http://www.cnblogs.com/Aimeast/archive/2012/08/09/2629614.html
        var region = [
            this.rectangle(79.446200, 49.220400, 96.330000,42.889900),
            this.rectangle(109.687200, 54.141500, 135.000200, 39.374200),
            this.rectangle(73.124600, 42.889900, 124.143255, 29.529700),
            this.rectangle(82.968400, 29.529700, 97.035200, 26.718600),
            this.rectangle(97.025300, 29.529700, 124.367395, 20.414096),
            this.rectangle(107.975793, 20.414096, 111.744104, 17.871542)
        ];

        //China excluded region - raw data
        var exclude = [
            this.rectangle(119.921265, 25.398623, 122.497559, 21.785006),
            this.rectangle(101.865200, 22.284000, 106.665000, 20.098800),
            this.rectangle(106.452500, 21.542200, 108.051000, 20.487800),
            this.rectangle(109.032300, 55.817500, 119.127000, 50.325700),
            this.rectangle(127.456800, 55.817500, 137.022700, 49.557400),
            this.rectangle(131.266200, 44.892200, 137.022700, 42.569200)
        ];
        for (var i = 0; i < region.length; i++)
            if (this.isInRect(region[i], lon, lat))
            {
                for (var j = 0; j < exclude.length; j++)
                    if (this.isInRect(exclude[j], lon, lat))
                        return false;
                return true;
            }
        return false;
    },
    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;
    }
};

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