GPS座標互轉：WGS-84(GPS)、GCJ-02(Google地圖)、BD-09(百度地圖)
WGS-84：是國際標準，GPS座標（Google Earth使用、或者GPS模塊）javascriptGCJ-02：中國座標偏移標準，Google Map、高德、騰訊使用phpBD-09：百度座標偏移標準，Baidu Map使用html
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後9位，這個值越小，越精確，可是javascript中，浮點運算自己就不太精確，九位在GPS裏也誤差不大了 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']+' 須要和第一行類似（目前是小數點後9位相等）');
本算法 gcj算法、bd算法都很是精確，已經測試經過。
（BD轉換的結果和百度提供的接口精確到小數點後4位）
請放心使用java
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: 橢球的偏愛率。
$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: 橢球的偏愛率。
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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