Python实现GIS坐标系的转换

#!/usr/bin/env python3.6.5
# -*- coding: UTF-8 -*-
"""
Author: ReddingtonLin
Date: 2020/4/1 14:23
docs:
GPS坐标转换:
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
"""

import math


def transformlat(x, y):
    ret = -100.0 + 2.0 * x + 3.0 * y + 0.2 * y * y + 0.1 * x * y + 0.2 * math.sqrt(abs(x))
    ret += (20.0 * math.sin(6.0 * x * math.pi) + 20.0 * math.sin(2.0 * x * math.pi)) * 2.0 / 3.0
    ret += (20.0 * math.sin(y * math.pi) + 40.0 * math.sin(y / 3.0 * math.pi)) * 2.0 / 3.0
    ret += (160.0 * math.sin(y / 12.0 * math.pi) + 320 * math.sin(y * math.pi / 30.0)) * 2.0 / 3.0
    return ret


def transformlon(x, y):
    ret = 300.0 + x + 2.0 * y + 0.1 * x * x + 0.1 * x * y + 0.1 * math.sqrt(abs(x))
    ret += (20.0 * math.sin(6.0 * x * math.pi) + 20.0 * math.sin(2.0 * x * math.pi)) * 2.0 / 3.0
    ret += (20.0 * math.sin(x * math.pi) + 40.0 * math.sin(x / 3.0 * math.pi)) * 2.0 / 3.0
    ret += (150.0 * math.sin(x / 12.0 * math.pi) + 300.0 * math.sin(x / 30.0 * math.pi)) * 2.0 / 3.0
    return ret


def delta(lng, lat):
    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 = transformlat(lng - 105.0, lat - 35.0)
    dLon = transformlon(lng - 105.0, lat - 35.0)
    radLat = lat / 180.0 * math.pi
    magic = math.sin(radLat)
    magic = 1 - ee * magic * magic
    sqrtMagic = math.sqrt(magic)
    dLat = (dLat * 180.0) / ((a * (1 - ee)) / (magic * sqrtMagic) * math.pi)
    dLon = (dLon * 180.0) / (a / sqrtMagic * math.cos(radLat) * math.pi)
    return dLon, dLat


def wgs2gcj(wgsLng, wgsLat):
    """
    WGS-84转成GCJ-02
    """
    if outOfChina(wgsLng, wgsLat):
        print("The latitude or longitude is out of China!")
        return wgsLng, wgsLat
    lng, lat = delta(wgsLng, wgsLat)
    return wgsLng + lng, wgsLat + lat


def gcj2wgs_rough(gcjLon, gcjLat):
    """
    GCJ-02 转 WGS-84 粗略版
    """
    if outOfChina(gcjLon, gcjLat):
        print("The latitude or longitude is out of China!")
        return gcjLon, gcjLat
    lng, lat = delta(gcjLon, gcjLat)
    return gcjLon - lng, gcjLat - lat


def gcj2wgs_accurate(gcjLon, gcjLat):
    """
    GCJ-02 转 WGS-84 精确版
    """
    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 1:
        wgsLat = (mLat + pLat) / 2
        wgsLon = (mLon + pLon) / 2
        lon, lat = gcj2wgs_rough(wgsLon, wgsLat)
        dLat = lat - gcjLat
        dLon = lon - gcjLon
        if (abs(dLat) < threshold) and (abs(dLon) < threshold):
            break
        if dLat > 0:
            pLat = wgsLat
        else:
            mLat = wgsLat
        if dLon > 0:
            pLon = wgsLon
        else:
            mLon = wgsLon
        if ++i > 10000:
            break
    return wgsLon, wgsLat


def gcj2bd(gcjLon, gcjLat):
    """
    GCJ-02 转 BD-09
    """
    x_pi = math.pi * 3000.0 / 180.0
    x = gcjLon
    y = gcjLat
    z = math.sqrt(x * x + y * y) + 0.00002 * math.sin(y * x_pi)
    theta = math.atan2(y, x) + 0.000003 * math.cos(x * x_pi)
    bdLon = z * math.cos(theta) + 0.0065
    bdLat = z * math.sin(theta) + 0.006
    return bdLon, bdLat


def bd2gcj(bdLon, bdLat):
    """
    BD-09 转 GCJ-02
    """
    x_pi = math.pi * 3000.0 / 180.0
    x = bdLon - 0.0065
    y = bdLat - 0.006
    z = math.sqrt(x * x + y * y) - 0.00002 * math.sin(y * x_pi)
    theta = math.atan2(y, x) - 0.000003 * math.cos(x * x_pi)
    gcjLon = z * math.cos(theta)
    gcjLat = z * math.sin(theta)
    return gcjLon, gcjLat


def wgs2mercator(wgsLon, wgsLat):
    """
    WGS-84 to Web mercator
    mercatorLat -> y mercatorLon -> x
    """
    x = wgsLon * 20037508.34 / 180.
    y = math.log(math.tan((90. + wgsLat) * math.pi / 360)) / (math.pi / 180)
    y = y * 20037508.34 / 180.
    return x, y


def mercator2wgs(mercatorLon, mercatorLat):
    """
    Web mercator to WGS-84
    mercatorLat -> y mercatorLon -> x
    """
    x = mercatorLon / 20037508.34 * 180
    y = mercatorLat / 20037508.34 * 180
    y = 180 / math.pi * (2 * math.atan(math.exp(y * math.pi / 180.)) - math.pi / 2)
    return x, y


def outOfChina(lng, lat):
    """
    判断是否在中国范围外
    """
    if lng < 72.004 or lng > 137.8347:
        return True
    if lat < 0.8293 or lat > 55.8271:
        return True
    return False


def haversine(lon1, lat1, lon2, lat2):
    """
    :param: 纬度1,经度1,纬度2,经度2(十进制度数)
    :return: 二个坐标之间的距离(单位米)
    Calculate the great circle distance between two points
    on the earth (specified in decimal degrees)
    """
    # 将十进制度数转化为弧度
    lon1, lat1, lon2, lat2 = map(math.radians, [lon1, lat1, lon2, lat2])
    # haversine公式
    dlon = lon2 - lon1
    dlat = lat2 - lat1
    a = math.sin(dlat / 2) ** 2 + math.cos(lat1) * math.cos(lat2) * math.sin(dlon / 2) ** 2
    c = 2 * math.asin(math.sqrt(a))
    r = 6371  # 地球平均半径,单位为公里
    return c * r * 1000


def wgs2bd(lon, lat):
    newlon, newlat = wgs2gcj(lon, lat)
    return gcj2bd(newlon, newlat)


if __name__ == '__main__':
    a = [(116.32232,39.79082),
        (116.328371,39.790688),
        (116.329444,39.782592),
        (116.322449,39.783251),
        (116.32232,39.79082)]
    r = []
    for i in a:
        lon, lat = i
        lon_wgs84, lat_wgs84 = gcj2wgs_rough(lon, lat)
        r.append((lon_wgs84, lat_wgs84))
    print(r)

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