用墨卡托和GPS坐标计算距离时误差测试

概述iOS墨卡托和GPS坐标计算距离时误差测试，测试结果： 墨卡托和gps坐标来回转换没有误差。 墨卡托坐标计算出的距离比gps坐标计算出的距离大，100/92*100 = 108米，每100米多算出8米 iOS墨卡托和GPS坐标计算距离时误差测试，测试结果：墨卡托和gps坐标来回转换没有误差。墨卡托坐标计算出的距离比gps坐标计算出的距离大，100/92*100 = 108米，每100米多算出8米。故随着导航距离缩短，误差会逐渐变小。log

25.780135+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 10.0025.781216+0800 gps_mktdistanceTest[91276:1928266] gps dis = 9.2025.781387+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12624927.127331,2653334.85178725.781531+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12624927.127331,2653334.85178725.781669+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 20.0025.781805+0800 gps_mktdistanceTest[91276:1928266] gps dis = 18.4025.781952+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12624937.127331,2653334.85178725.782072+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12624937.127331,2653334.85178725.782184+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 30.0025.782318+0800 gps_mktdistanceTest[91276:1928266] gps dis = 27.5925.782418+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12624947.127331,2653334.85178725.782547+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12624947.127331,2653334.85178725.785722+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 40.0025.785817+0800 gps_mktdistanceTest[91276:1928266] gps dis = 36.7925.785952+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12624957.127331,2653334.85178725.786067+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12624957.127331,2653334.85178725.786170+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 50.0025.786280+0800 gps_mktdistanceTest[91276:1928266] gps dis = 45.9925.786379+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12624967.127331,2653334.85178725.786473+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12624967.127331,2653334.85178725.786561+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 60.0025.786626+0800 gps_mktdistanceTest[91276:1928266] gps dis = 55.1925.786718+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12624977.127331,2653334.85178725.786878+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12624977.127331,2653334.85178725.787094+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 70.0025.787273+0800 gps_mktdistanceTest[91276:1928266] gps dis = 64.3825.787465+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12624987.127331,2653334.85178725.787647+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12624987.127331,2653334.85178725.787853+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 80.0025.788050+0800 gps_mktdistanceTest[91276:1928266] gps dis = 73.5825.788224+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12624997.127331,2653334.85178725.788399+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12624997.127331,2653334.85178725.788586+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 90.0025.788826+0800 gps_mktdistanceTest[91276:1928266] gps dis = 82.7825.789067+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12625007.127331,2653334.85178725.789287+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12625007.127331,2653334.85178725.789430+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 100.0025.789628+0800 gps_mktdistanceTest[91276:1928266] gps dis = 91.9825.789865+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12625017.127331,2653334.85178725.790090+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12625017.127331,2653334.85178725.790289+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 110.0025.790511+0800 gps_mktdistanceTest[91276:1928266] gps dis = 101.1825.790775+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12625027.127331,2653334.85178725.791032+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12625027.127331,2653334.85178725.791194+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 120.0025.791390+0800 gps_mktdistanceTest[91276:1928266] gps dis = 110.3725.791586+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12625037.127331,2653334.85178725.791812+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12625037.127331,2653334.85178725.791985+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 130.0025.792163+0800 gps_mktdistanceTest[91276:1928266] gps dis = 119.5725.792457+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12625047.127331,2653334.85178725.792679+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12625047.127331,2653334.85178725.792808+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 140.0025.793005+0800 gps_mktdistanceTest[91276:1928266] gps dis = 128.7725.793225+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12625057.127331,2653334.85178725.793416+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12625057.127331,2653334.85178725.793572+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 150.0025.793735+0800 gps_mktdistanceTest[91276:1928266] gps dis = 137.9725.793928+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12625067.127331,2653334.85178725.794105+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12625067.127331,2653334.85178725.794290+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 160.0025.794419+0800 gps_mktdistanceTest[91276:1928266] gps dis = 147.1625.794611+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12625077.127331,2653334.85178725.794792+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12625077.127331,2653334.85178725.794965+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 170.0025.795133+0800 gps_mktdistanceTest[91276:1928266] gps dis = 156.3625.795327+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12625087.127331,2653334.85178725.795490+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12625087.127331,2653334.85178725.795654+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 180.0025.795776+0800 gps_mktdistanceTest[91276:1928266] gps dis = 165.5625.795974+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12625097.127331,2653334.85178725.796177+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12625097.127331,2653334.85178725.796311+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 190.0025.796474+0800 gps_mktdistanceTest[91276:1928266] gps dis = 174.7625.796658+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12625107.127331,2653334.85178725.796823+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12625107.127331,2653334.85178725.796981+0800 gps_mktdistanceTest[91276:1928266] mkt dis = 200.0025.797129+0800 gps_mktdistanceTest[91276:1928266] gps dis = 183.9625.797310+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换前12625117.127331,2653334.85178725.797474+0800 gps_mktdistanceTest[91276:1928266] 墨卡托坐标 转换后12625117.127331,2653334.851787

code

////  VIEwController.m//  gps_mktdistanceTest//#import "VIEwController.h"#import "HTCoortransformEach/HTCoorTransforEach.h"@interface VIEwController ()@end@implementation VIEwController- (voID)vIEwDIDLoad {    [super vIEwDIDLoad];    }- (voID)touchesBegan:(NSSet<UItouch *> *)touches withEvent:(UIEvent *)event{        for (int i = 1; i <= 20; ++i) {        //mkt计算距离        double x0 = 12624917.12733079;        double y0 = 2653334.851787222;                double x1 = x0 + 10 * i;        double y1 = y0;                double dis1 = sqrt(pow(x1 - x0,2) + pow(y1 - y0,2));        NSLog(@"mkt dis = %.2f",dis1);                //gps计算距离        htmktCoor lCoor = {x0,y0};              CLLocationCoordinate2D lGPS0 = [HTCoorTransforEach Mercator2WorldGS:lCoor];        CLLocation *lLoc0 = [[CLLocation alloc] initWithLatitude:lGPS0.latitude longitude:lGPS0.longitude];                htmktCoor lCoor1 = {x1,y1};        CLLocationCoordinate2D lGPS1 = [HTCoorTransforEach Mercator2WorldGS:lCoor1];        CLLocation *lLoc1 = [[CLLocation alloc] initWithLatitude:lGPS1.latitude longitude:lGPS1.longitude];               htmktCoor lMkt = [HTCoorTransforEach WorldGS2Mercator:lGPS1];        double gpsdis = [lLoc0 distanceFromLocation:lLoc1];        NSLog(@"gps dis = %.2f",gpsdis);                NSLog(@"墨卡托坐标 转换前%f,%f",x1,y1);        NSLog(@"墨卡托坐标 转换后%f,lMkt.x,lMkt.y);    }}@end////  HTCoorTransfor.h//#import <Foundation/Foundation.h>#import <CoreLocation/CoreLocation.h>typedef struct{        ///墨卡托x坐标，对应经纬度中的经度    double x;        ///墨卡托y坐标，对应经纬度中的纬度    double y;}htmktCoor;NS_ASSUME_NONNulL_BEGIN@interface HTCoorTransforEach : NSObject//WGS-84 坐标转换成 墨卡托 坐标+ (htmktCoor)WorldGS2Mercator:(CLLocationCoordinate2D)coordinate;//墨卡托 坐标转换成 WGS-84 坐标+ (CLLocationCoordinate2D)Mercator2WorldGS:(htmktCoor)mercator;@endNS_ASSUME_NONNulL_END////  HTCoorTransfor.m//#import "HTCoorTransforEach.h"@implementation HTCoorTransforEach//WGS-84 坐标转换成 墨卡托 坐标。警告：墨卡托的x对应经度longtitude，y对应纬度latitude，千万别搞反了！+ (htmktCoor)WorldGS2Mercator:(CLLocationCoordinate2D)coordinate{    double lon = coordinate.longitude*20037508.34/180;    double lat = log(tan((90+coordinate.latitude)*M_PI/360))/(M_PI/180);    lat = lat*20037508.34/180;        htmktCoor lCoor;    lCoor.x = lon;    lCoor.y = lat;    return lCoor;}//墨卡托 坐标转换成 WGS-84 坐标。警告：墨卡托的x对应经度longtitude，y对应纬度latitude，千万别搞反了！+ (CLLocationCoordinate2D)Mercator2WorldGS:(htmktCoor)mercator{    double lon = mercator.x/20037508.34*180;    double lat = mercator.y/20037508.34*180;    lat = 180/M_PI*(2*atan(exp(lat*M_PI/180))-M_PI/2);    return CLLocationCoordinate2DMake(lat,lon);}@end

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