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

member發表於2019-02-16

WGS-84：是國際標準，GPS座標（Google Earth使用、或者GPS模組）
GCJ-02：中國座標偏移標準，Google Map、高德、騰訊使用
BD-09：百度座標偏移標準，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; 目前設定的是精確到小數點後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裡也偏差不大了
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<br />");
var arr2 = GPS.gcj_encrypt(39.933676862706776, 116.35608315379092);
document.write("中國:" + 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（目前是小數點後9位相等）`);

本演算法 gcj演算法、bd演算法都非常精確，已經測試通過。
（BD轉換的結果和百度提供的介面精確到小數點後4位）
請放心使用

PHP

<?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, $wgsLon))
        if (!$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: 衛星橢球座標投影到平面地圖座標系的投影因子。
        $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: 衛星橢球座標投影到平面地圖座標系的投影因子。
        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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GPS座標互轉：WGS-84(GPS)、GCJ-02(Google地圖)、BD-09(百度地圖)

WGS-84 to GCJ-02

GCJ-02 to WGS-84 粗略

GCJ-02 to WGS-84 精確(二分極限法)

GCJ-02 to BD-09

BD-09 to GCJ-02

求距離

示例：

PHP

Javascript

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