JS: 火星坐标gcj02、百度坐标bd09II、WGS84坐标相互转换及墨卡托转经纬度百度墨卡托bd09mc

写在前面

• bd09II： 百度地图
• gcj02： 高德地图、腾讯地图
• cgcs200： 天地图
• wgs84： osm、谷歌、arcgisonline。。。。

1、经纬度转换

BD09 <=> GCJ02 <=> WGS84(CGCS200)

• BD09 <=> GCJ02
• GCJ02 <=> WGS84(CGCS200)

2、经纬度与墨卡托

• 墨卡托 <=> 经纬度
• BD09mc <=> BD09

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JavaScript版本的。

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• 1、经纬度转换

• 百度坐标bd09II转火星坐标GCJ02

var x_pi=3.14159265358979324 * 3000.0 / 180.0;
function baiduTomars(baidu_point){
    var mars_point={lon:0,lat:0};
    var x=baidu_point.lon-0.0065;
    var y=baidu_point.lat-0.006;
    var z=Math.sqrt(x*x+y*y)- 0.00002 * Math.sin(y * x_pi);
    var theta = Math.atan2(y, x) - 0.000003 * Math.cos(x * x_pi);
    mars_point.lon=z * Math.cos(theta);
    mars_point.lat=z * Math.sin(theta);
    return mars_point;
}

• 火星坐标GCJ02转百度坐标bd09II

x_pi=3.14159265358979324 * 3000.0 / 180.0;
function marsTobaidu(mars_point){
    var baidu_point={lon:0,lat:0};
    var x=mars_point.lon;
    var y=mars_point.lat;
    var z = Math.sqrt(x * x + y * y) + 0.00002 * Math.sin(y * x_pi);
    var theta = Math.atan2(y, x) + 0.000003 * Math.cos(x * x_pi);
    baidu_point.lon = z * Math.cos(theta) + 0.0065;
    baidu_point.lat = z * Math.sin(theta) + 0.006;
    return baidu_point;
}

• 地球坐标系WGS84转火星坐标系GCJ02

var pi = 3.14159265358979324;
var a = 6378245.0;
var ee = 0.00669342162296594323;
/*判断是否在国内，不在国内则不做偏移*/
function outOfChina(lon, lat)
{
    if ((lon < 72.004 || lon > 137.8347)&&(lat < 0.8293 || lat > 55.8271)){
        return true;
    }else {
        return false;
    }
}
function transformLat(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 * pi) + 20.0 * Math.sin(2.0 * x * pi)) * 2.0 / 3.0;
    ret += (20.0 * Math.sin(y * pi) + 40.0 * Math.sin(y / 3.0 * pi)) * 2.0 / 3.0;
    ret += (160.0 * Math.sin(y / 12.0 * pi) + 320 * Math.sin(y * pi / 30.0)) * 2.0 / 3.0;
    return ret;
}

function transformLon(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 * pi) + 20.0 * Math.sin(2.0 * x * pi)) * 2.0 / 3.0;
    ret += (20.0 * Math.sin(x * pi) + 40.0 * Math.sin(x / 3.0 * pi)) * 2.0 / 3.0;
    ret += (150.0 * Math.sin(x / 12.0 * pi) + 300.0 * Math.sin(x / 30.0 * pi)) * 2.0 / 3.0;
    return ret;
}

function transform(wgLat,wgLon)
{
    var mars_point={lon:0,lat:0};
    if (outOfChina(wgLat, wgLon))
    {
        mars_point.lat = wgLat;
        mars_point.lon = wgLon;
        return;
    }
    var dLat = transformLat(wgLon - 105.0, wgLat - 35.0);
    var dLon = transformLon(wgLon - 105.0, wgLat - 35.0);
    var radLat = wgLat / 180.0 * 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) * pi);
    dLon = (dLon * 180.0) / (a / sqrtMagic * Math.cos(radLat) * pi);
    mars_point.lat = wgLat + dLat;
    mars_point.lon = wgLon + dLon;
    return mars_point
}

• 火星坐标系GCJ02转地球坐标系WGS84

var PI = 3.14159265358979324;
function transformGCJ2WGS(gcjLat, gcjLon) {
    let d = delta(gcjLat, gcjLon)
    return {
      'lat': gcjLat - d.lat,
      'lon': gcjLon - d.lon
    }
  }

  function delta(lat, lon) {
    let 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。
    let ee = 0.00669342162296594323 //  ee: 椭球的偏心率。
    let dLat = transformLat(lon - 105.0, lat - 35.0)
    let dLon = transformLon(lon - 105.0, lat - 35.0)
    let radLat = lat / 180.0 * PI
    let magic = Math.sin(radLat)
    magic = 1 - ee * magic * magic
    let sqrtMagic = Math.sqrt(magic)
    dLat = (dLat * 180.0) / ((a * (1 - ee)) / (magic * sqrtMagic) * PI)
    dLon = (dLon * 180.0) / (a / sqrtMagic * Math.cos(radLat) * PI)
    return {
      'lat': dLat,
      'lon': dLon
    }
  }
  function transformLat(x, y) {
    let 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 * PI) + 20.0 * Math.sin(2.0 * x * PI)) * 2.0 / 3.0
    ret += (20.0 * Math.sin(y * PI) + 40.0 * Math.sin(y / 3.0 * PI)) * 2.0 / 3.0
    ret += (160.0 * Math.sin(y / 12.0 * PI) + 320 * Math.sin(y * PI / 30.0)) * 2.0 / 3.0
    return ret
  }
  function transformLon(x, y) {
    let 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 * PI) + 20.0 * Math.sin(2.0 * x * PI)) * 2.0 / 3.0
    ret += (20.0 * Math.sin(x * PI) + 40.0 * Math.sin(x / 3.0 * PI)) * 2.0 / 3.0
    ret += (150.0 * Math.sin(x / 12.0 * PI) + 300.0 * Math.sin(x / 30.0 * PI)) * 2.0 / 3.0
    return ret
  }

• 2、经纬度、墨卡托转换

• 经纬度转墨卡托

function lonlatTomercator(lonlat) {
    var mercator={x:0,y:0};
    var x = lonlat.x *20037508.34/180;
    var y = Math.log(Math.tan((90+lonlat.y)*Math.PI/360))/(Math.PI/180);
    y = y *20037508.34/180;
    mercator.x = x;
    mercator.y = y;
    return mercator ;
}

• 墨卡托转 经纬度

function mercatorTolonlat(mercator){
    var lonlat={x:0,y:0};
    var x = mercator.x/20037508.34*180;
    var y = mercator.y/20037508.34*180;
    y= 180/Math.PI*(2*Math.atan(Math.exp(y*Math.PI/180))-Math.PI/2);
    lonlat.x = x;
    lonlat.y = y;
    return lonlat;
}

• 百度墨卡托bd09mc转bd09II

var MCBAND = [12890594.86, 8362377.87, 5591021, 3481989.83, 1678043.12, 0]
    var MC2LL = [
      [1.410526172116255e-8, 0.00000898305509648872, -1.9939833816331, 200.9824383106796, -187.2403703815547, 91.6087516669843, -23.38765649603339, 2.57121317296198, -0.03801003308653, 17337981.2],
      [-7.435856389565537e-9, 0.000008983055097726239, -0.78625201886289, 96.32687599759846, -1.85204757529826, -59.36935905485877, 47.40033549296737, -16.50741931063887, 2.28786674699375, 10260144.86],
      [-3.030883460898826e-8, 0.00000898305509983578, 0.30071316287616, 59.74293618442277, 7.357984074871, -25.38371002664745, 13.45380521110908, -3.29883767235584, 0.32710905363475, 6856817.37],
      [-1.981981304930552e-8, 0.000008983055099779535, 0.03278182852591, 40.31678527705744, 0.65659298677277, -4.44255534477492, 0.85341911805263, 0.12923347998204, -0.04625736007561, 4482777.06],
      [3.09191371068437e-9, 0.000008983055096812155, 0.00006995724062, 23.10934304144901, -0.00023663490511, -0.6321817810242, -0.00663494467273, 0.03430082397953, -0.00466043876332, 2555164.4],
      [2.890871144776878e-9, 0.000008983055095805407, -3.068298e-8, 7.47137025468032, -0.00000353937994, -0.02145144861037, -0.00001234426596, 0.00010322952773, -0.00000323890364, 826088.5]
    ]
    function convertor(cC, cD) {
      if (!cC || !cD) {
        return null;
      }
      let T = cD[0] + cD[1] * Math.abs(cC.x);
      const cB = Math.abs(cC.y) / cD[9];
      let cE = cD[2] + cD[3] * cB + cD[4] * cB * cB +
        cD[5] * cB * cB * cB + cD[6] * cB * cB * cB * cB +
        cD[7] * cB * cB * cB * cB * cB +
        cD[8] * cB * cB * cB * cB * cB * cB;
      T *= (cC.x < 0 ? -1 : 1);
      cE *= (cC.y < 0 ? -1 : 1);
      return [T, cE];
    }
    
    function convertMC2LL(cB) {
      const cC = {
        x: Math.abs(cB.x),
        y: Math.abs(cB.y)
      };
      let cE;
      for (let cD = 0, len = MCBAND.length; cD < len; cD++) {
        if (cC.y >= MCBAND[cD]) {
          cE = MC2LL[cD];
          break;
        }
      }
      const T = convertor(cB, cE);
      return T;
    }

• 百度经纬度bd09II转百度墨卡托bd09mc

    var LLBAND =[75, 60, 45, 30, 15, 0]
    var LL2MC = [
        [-0.0015702102444, 111320.7020616939, 1704480524535203, -10338987376042340, 26112667856603880, -35149669176653700, 26595700718403920, -10725012454188240, 1800819912950474, 82.5],
        [0.0008277824516172526, 111320.7020463578, 647795574.6671607, -4082003173.641316, 10774905663.51142, -15171875531.51559, 12053065338.62167, -5124939663.577472, 913311935.9512032, 67.5],
        [0.00337398766765, 111320.7020202162, 4481351.045890365, -23393751.19931662, 79682215.47186455, -115964993.2797253, 97236711.15602145, -43661946.33752821, 8477230.501135234, 52.5],
        [0.00220636496208, 111320.7020209128, 51751.86112841131, 3796837.749470245, 992013.7397791013, -1221952.21711287, 1340652.697009075, -620943.6990984312, 144416.9293806241, 37.5],
        [-0.0003441963504368392, 111320.7020576856, 278.2353980772752, 2485758.690035394, 6070.750963243378, 54821.18345352118, 9540.606633304236, -2710.55326746645, 1405.483844121726, 22.5],
        [-0.0003218135878613132, 111320.7020701615, 0.00369383431289, 823725.6402795718, 0.46104986909093, 2351.343141331292, 1.58060784298199, 8.77738589078284, 0.37238884252424, 7.45]
    ]
    function getRange(cC, cB, T) {
        if (cB != null) {
            cC = Math.max(cC, cB);
        }
        if (T != null) {
            cC = Math.min(cC, T);
        }
        return cC;
    }
    function getLoop(cC, cB, T) {
        while (cC > T) {
            cC -= T - cB;
        }
        while (cC < cB) {
            cC += T - cB;
        }
        return cC;
    }
    function convertor(cC, cD) {
      if (!cC || !cD) {
        return null;
      }
      let T = cD[0] + cD[1] * Math.abs(cC.x);
      const cB = Math.abs(cC.y) / cD[9];
      let cE = cD[2] + cD[3] * cB + cD[4] * cB * cB +
        cD[5] * cB * cB * cB + cD[6] * cB * cB * cB * cB +
        cD[7] * cB * cB * cB * cB * cB +
        cD[8] * cB * cB * cB * cB * cB * cB;
      T *= (cC.x < 0 ? -1 : 1);
      cE *= (cC.y < 0 ? -1 : 1);
      return [T, cE];
    }
    function convertLL2MC(T) {
        let cD, cC, len;
        T.x = getLoop(T.x, -180, 180);
        T.y = getRange(T.y, -74, 74);
        const cB = T;
        for (cC = 0, len = LLBAND.length; cC < len; cC++) {
            if (cB.y >= LLBAND[cC]) {
                cD = LL2MC[cC];
                break;
            }
        }
        if (!cD) {
            for (cC = LLBAND.length - 1; cC >= 0; cC--) {
                if (cB.y <= -LLBAND[cC]) {
                    cD = LL2MC[cC];
                    break;
                }
            }
        }
        const cE = convertor(T, cD);
        return cE;
    }