摘要:转换的结果和百度提供的接口精确到小数点后位请放心使用卫星椭球坐标投影到平面地图坐标系的投影因子。
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-02GPS.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
"); var arr2 = GPS.gcj_encrypt(39.933676862706776, 116.35608315379092); document.write("中国:" + 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(目前是小数点后9位相等)");
PHP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
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: 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" => $dLon); } private function rectangle($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: 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)) 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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