百度墨卡托坐标转化笔记

一、墨卡托坐标转化

调研了python和java多种实现方式的转换，发现有的不符合需求，原因还没找到。

我是用百度地图返回的poi边界（返回的是墨卡托坐标）

转换的原理没有深入研究，直接拿来用的，测试可行，非常感谢https://blog.csdn.net/qq_33734315/article/details/121071650

挺好奇MCBAND,MC2LL 这两个变量是从哪里找到的，还是自己研究出来的，太厉害了。
下面两种实现转换后的经纬度均为百度坐标系
调研的java代码实现

package utils;

import java.io.*;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.List;
import java.util.Map;

/**
 * 百度geo返回的结果转换
 * 墨卡托坐标转成百度坐标
 */
public class MocatorConvert {
    private static final Double[] MCBAND = {12890594.86, 8362377.87, 5591021d, 3481989.83, 1678043.12, 0d};
    private static final Double[][] 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}};

    public static void main(String[] args) {
        String geo = "4|13139481.25,2796369.48;13139944.08,2796651.95|1-13139481.25,2796439.55,13139533.24,2796369.48,13139572.31,2796398.44,13139925.51,2796431.39,13139944.08,2796444.84,13139801.3,2796651.95,13139481.25,2796439.55;";
        String ss = mc2jw(geo);
        System.out.println(ss);
        Double x = 13139533.24;
        Double y = 2796369.48;
        Map<String, Double> rs = convertMC2LL(x, y);
        System.out.println(rs.values());

    }

    /**
     * 墨卡托坐标转成百度坐标 返回的百度坐标
     * @param geo
     * @return
     */
    public static String mc2jw(String geo) {
        //String geo = "4|13517816.2,3597097.8;13527673.6,3607970.0|1-13520242.7,3597248.8,13520242.7,3597399.8,13519636.1,3597399.8,13519636.1,3598607.8,13519484.4,3598607.8,13519484.4,3598758.8,13519029.5,3598758.8,13519029.5,3599060.8,13518574.5,3599060.8,13518574.5,3599211.8,13518271.2,3599211.8,13518271.2,3599815.9,13517816.2,3599815.9,13517816.2,3600268.9,13518119.6,3600268.9,13518119.6,3600570.9,13518271.2,3600570.9,13518271.2,3600872.9,13518574.5,3600872.9,13518574.5,3601023.9,13519181.1,3601023.9,13519181.1,3602533.9,13518877.8,3602533.9,13518877.8,3602986.9,13519332.8,3602986.9,13519332.8,3605100.9,13518574.5,3605100.9,13518574.5,3606611.0,13518422.8,3606611.0,13518422.8,3607064.0,13518574.5,3607064.0,13518574.5,3607366.0,13518877.8,3607366.0,13518877.8,3607819.0,13519332.8,3607819.0,13519332.8,3607970.0,13519787.7,3607970.0,13519787.7,3607064.0,13521152.6,3607064.0,13521152.6,3606460.0,13522062.5,3606460.0,13522062.5,3605856.0,13521910.8,3605856.0,13521910.8,3604345.9,13522669.1,3604345.9,13522669.1,3603288.9,13523730.7,3603288.9,13523730.7,3602533.9,13524185.6,3602533.9,13524185.6,3601023.9,13524337.3,3601023.9,13524337.3,3600721.9,13526157.1,3600721.9,13526157.1,3601174.9,13527218.6,3601174.9,13527218.6,3600419.9,13527370.3,3600419.9,13527370.3,3599513.9,13527673.6,3599513.9,13527673.6,3598758.8,13527218.6,3598758.8,13527218.6,3598305.8,13526612.0,3598305.8,13526612.0,3597097.8,13524943.9,3597097.8,13524943.9,3597550.8,13524792.2,3597550.8,13524792.2,3598154.8,13522517.4,3598154.8,13522517.4,3597701.8,13522214.1,3597701.8,13522214.1,3597550.8,13520697.6,3597550.8,13520697.6,3597097.8,13520242.7,3597097.8;";
        List<String> mocatorList = new ArrayList<String>();
        if (geo.length() <= 71) {
            //没有边界，解析该点坐标
            mocatorList = parseJeoPoint(geo);
        } else {
            //有边界
            mocatorList = parseJeo(geo);
        }
        // 封装板块边界
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < mocatorList.size(); i++) {
            String[] coordinate = mocatorList.get(i).split("\\#");
            // 墨卡托坐标转换为百度经纬度坐标
            Map<String, Double> location = convertMC2LL(Double.parseDouble(coordinate[0]), Double.parseDouble(coordinate[1]));
            Double lng = location.get("lng");
            Double lat = location.get("lat");
            String coord = lng + "," + lat;
            sb.append(coord);
            if (i < mocatorList.size() - 1) {
                sb.append(";");
            }
        }
        return sb.toString();
    }

    /**
     * 解析Jeo数据
     *
     * @param mocator
     */
    public static List<String> parseJeo(String mocator) {
        List<String> mocatorList = new ArrayList<String>();

        if (null == mocator) return null;
        /* 拆分数据 */
        String[] geos = mocator.split("\\|");
        int n = Integer.parseInt(geos[0]);
        String center = geos[1];
        String polylineMoca = geos[2]; //墨卡托坐标
        if (n == 2) {
            polylineMoca = "1-" + polylineMoca;
            String[] plm = polylineMoca.split("\\;");
            String plmstr = "";
            for (String str : plm) {
                plmstr += str;
            }
            plm = new String[1];
            plm[0] = plmstr;
        }
        String[] plm = polylineMoca.split("\\;");
        /* 获取墨卡托边界 */
        String geo = null;
        if (n == 4 || n == 2) {
            for (int i = 0; i < plm.length; i++) {
                String[] geoPaths = plm[i].split("\\-");
                if (geoPaths[0].equals("1")) {
                    geo = geoPaths[1];
                }
            }
        }
        // 墨卡托坐标解析
        String[] geoPolyline = new String[9999];
        try {
            geoPolyline = geo.split("\\,");
        } catch (Exception e) {
            System.out.println(e.getMessage());
        }
        for (int i = 0; i < geoPolyline.length; i += 2) {
            mocatorList.add(geoPolyline[i] + "#" + geoPolyline[i + 1]);
        }
        return mocatorList;
    }

    /**
     * 解析Jeo坐标点的数据
     *
     * @param mocatorpoint
     */
    public static List<String> parseJeoPoint(String mocatorpoint) {
        List<String> mocatorList = new ArrayList<String>();

        if (null == mocatorpoint) return null;
        String str = mocatorpoint.substring(0, mocatorpoint.lastIndexOf("|"));
        String str1 = mocatorpoint.substring(str.length() + 1, mocatorpoint.length() - 1);
        /* 拆分数据 */
        // 墨卡托坐标解析
        String[] geoPolyline = str1.split("\\,");
        for (int i = 0; i < geoPolyline.length; i += 2) {
            mocatorList.add(geoPolyline[i] + "#" + geoPolyline[i + 1]);
        }
        return mocatorList;
    }

    /**
     * 墨卡托坐标转经纬度坐标
     *
     * @param x
     * @param y
     * @return
     */
    public static Map<String, Double> convertMC2LL(Double x, Double y) {
        Double[] cF = null;
        x = Math.abs(x);
        y = Math.abs(y);
        for (int cE = 0; cE < MCBAND.length; cE++) {
            if (y >= MCBAND[cE]) {
                cF = MC2LL[cE];
                break;
            }
        }
        Map<String, Double> location = converter(x, y, cF);
        location.put("lng", location.get("x"));
        location.remove("x");
        location.put("lat", location.get("y"));
        location.remove("y");
        return location;
    }

    private static Map<String, Double> converter(Double x, Double y, Double[] cE) {
        Double xTemp = cE[0] + cE[1] * Math.abs(x);
        Double cC = Math.abs(y) / cE[9];
        Double yTemp = cE[2] + cE[3] * cC + cE[4] * cC * cC + cE[5] * cC * cC * cC + cE[6] * cC * cC * cC * cC + cE[7] * cC * cC * cC * cC * cC + cE[8] * cC * cC * cC * cC * cC * cC;
        xTemp *= (x < 0 ? -1 : 1);
        yTemp *= (y < 0 ? -1 : 1);
        Map<String, Double> location = new HashMap<String, Double>();
        location.put("x", xTemp);
        location.put("y", yTemp);
        return location;
    }


}

调研的python实现

MCBAND = [12890594.86, 8362377.87, 5591021, 3481989.83, 1678043.12, 0]

LLBAND = [75, 60, 45, 30, 15, 0]

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]]

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]]


def location_mokatuo(lng, lat):  # 百度坐标转百度墨卡托坐标
    cE = None
    lng = get_loop(lng, -180, 180)
    lat = get_range(lat, -74, 74)
    for i in range(len(LLBAND)):
        if lat >= LLBAND[i]:
            cE = LL2MC[i]
            break
    if cE:
        for i in range(len(LLBAND) - 1, 0, -1):
            if lat <= -LLBAND[i]:
                cE = LL2MC[i]
                break
    return converter(lng, lat, cE)


def converter(lng, lat, cE):
    lngTemp = cE[0] + cE[1] * abs(lng)
    cC = abs(lat) / cE[9]
    latTemp = cE[2] + cE[3] * cC + cE[4] * cC * cC + cE[5] * cC * cC * cC + cE[6] * cC * cC * cC * cC + cE[
        7] * cC * cC * cC * cC * cC + cE[8] * cC * cC * cC * cC * cC * cC
    lngTemp *= (-1 if lng < 0 else 1)
    latTemp *= (-1 if lat < 0 else 1)
    return [lngTemp, latTemp]


def get_loop(lng, min1, max1):
    while lng > max1:
        lng -= max1 - min1
    while lng < min1:
        lng += max1 - min1
    return lng


def get_range(lat, min1, max1):
    if min1:
        lat = max(lat, min1)
    if max1:
        lat = min(lat, max1)
    return lat


def mokatuo_location(lng,lat):  # 百度墨卡托转换百度坐标
    cF = None
    lng = abs(lng)
    lat = abs(lat)
    for i in range(len(MCBAND)):
        if lat >= MCBAND[i]:
            cF = MC2LL[i]
            break
    return converter(lng, lat, cF)


if __name__ == '__main__':
    print(location_mokatuo(118.03315104440664, 24.498307986743058))  # 经纬度转墨卡托
    print(mokatuo_location(13139533.24,2796369.48))  # 墨卡托转经纬度

二、坐标测试用例

墨卡托坐标: 13139533.24,2796369.48
百度: 118.03315104440664, 24.498307986743058
GPS: 118.02167877581007, 24.495393563196547
高德: 118.02657021322973, 24.492638370577403