不知道啥时候在网上找到的算法,经实验发现貌似挺精确的,经修改后备用:
#include
//高斯平面坐标系
struct CRDCARTESIAN
{
double x;
double y;
double z;
} ;
//大地坐标系(可以是 北京54坐标系,西安80坐标系,WGS84坐标系(GPS 坐标))
struct CRDGEODETIC
{
double longitude; //经度
double latitude; //纬度
double height; //大地高,可设为0
};
#define WGS84 84 //WGS84坐标系(GPS 坐标)
#define BJ54 54 //北京54坐标系
#define XIAN80 80 //西安80坐标系
#define ZONEWIDE3 3 //投影带宽度 3
#define ZONEWIDE6 6 //投影带宽度 6
//---------------------------------------------------------------------------
void BLTOXY(CRDCARTESIAN * pcc, CRDGEODETIC * pcg, int Datum, int zonewide)
{
double B = pcg->latitude; //纬度
double L = pcg->longitude; //经度//纬度度数
double L0; //中央经线度数
double N; //卯酉圈曲率半径
double q2;
double x; //高斯平面纵坐标
double y; //高斯平面横坐标
double s; //赤道至纬度B的经线弧长
double f; //参考椭球体扁率
double e1; //椭球第一偏心率
double a; //参考椭球体长半轴
//double b; //参考椭球体短半轴
double a1, a2, a3, a4;
double b1, b2, b3, b4;
double c0, c1, c2, c3;
const double IPI = 0.0174532925199433333333; //3.1415926535898/180.0
int prjno = 0; //投影带号
// zonewide 投影带宽带, 3 或者是 6
if (zonewide == 6)
{
prjno = (int) (L / zonewide) + 1;
L0 = prjno * zonewide - 3;
}
else
{
prjno = (int) ((L - 1.5) / 3) + 1;
L0 = prjno * 3;
}
/*
* 北京 54
* 长半轴a=6378245m
* 短半轴b=6356863.0188m
* 扁率α=1/298.3
* 第一偏心率平方 =0.006693421622966
* 第二偏心率平方 =0.006738525414683
*
* 西安80
* 长半轴a=6378140±5(m)
* 短半轴b=6356755.2882m
* 扁率α=1/298.257
* 第一偏心率平方 =0.00669438499959
* 第二偏心率平方=0.00673950181947
*
* WGS84
* 长半轴a=6378137± 2(m)
* 短半轴b=6356752.3142m
* 扁率α=1/298.257223563
* 第一偏心率平方 =0.00669437999013
* 第二偏心率平方 =0.00673949674223
*
*/
//Datum 投影基准面类型:北京54基准面为54,西安80基准面为80,WGS84基准面为84
if (Datum == 84)
{
a = 6378137;
f = 1 / 298.257223563;
}
else if (Datum == 54)
{
a = 6378245;
f = 1 / 298.3;
}
else if (Datum == 80)
{
a = 6378140;
f = 1 / 298.257;
}
e1 = 2 * f - f*f; //(a*a-b*b)/(a*a) 椭球第一偏心率
L0 = L0*IPI; // 转为弧度
L = L*IPI; // 转为弧度
B = B*IPI; // 转为弧度
double sinB = sin(B); //sinB
double cosB = cos(B); //cosB
double tanB = tan(B); //tanB
double l = L - L0; //L-L0l
double m = l * cosB; //ltanB
N = a / sqrt(1 - e1 * pow(sinB, 2));
q2 = e1 / (1 - e1) * pow(cosB, 2);
a1 = 1 + 3.0 / 4.0 * e1 + 45.0 / 64.0 * pow(e1, 2) + 175.0 / 256.0 * pow(e1, 3)
+ 11025.0 / 16384.0 * pow(e1, 4) + 43659.0 / 65536.0 * pow(e1, 5);
a2 = 3.0 / 4.0 * e1 + 15.0 / 16.0 * pow(e1, 2) + 525.0 / 512.0 * pow(e1, 3)
+ 2205.0 / 2048.0 * pow(e1, 4) + 72765.0 / 65536.0 * pow(e1, 5);
a3 = 15.0 / 64.0 * pow(e1, 2) + 105.0 / 256.0 * pow(e1, 3) + 2205.0 / 4096.0
* pow(e1, 4) + 10359.0 / 16384.0 * pow(e1, 5);
a4 = 35.0 / 512.0 * pow(e1, 3) + 315.0 / 2048.0 * pow(e1, 4) + 31185.0 / 13072.0
* pow(e1, 5);
b1 = a1 * a * (1 - e1);
b2 = -1.0 / 2.0 * a2 * a * (1 - e1);
b3 = 1.0 / 4.0 * a3 * a * (1 - e1);
b4 = -1.0 / 6.0 * a4 * a * (1 - e1);
c0 = b1;
c1 = 2 * b2 + 4 * b3 + 6 * b4;
c2 = -(8 * b3 + 32 * b4);
c3 = 32 * b4;
s = c0 * B + cosB * (c1 * sinB + c2 * pow(sinB, 3) + c3 * pow(sinB, 5));
x = s + 0.5 * N * tanB * pow(m, 2) + 1.0 / 24.0 * (5 - pow(tanB, 2) + 9 * q2 + 4
* pow(q2, 2)) * N * tanB * pow(m, 4) + 1.0 / 720.0 * (61 - 58 * pow(tanB, 6))
* N * tanB * pow(m, 6);
y = N * m + 1.0 / 6.0 * (1 - pow(tanB, 2) + q2) * N * pow(m, 3) + 1.0 / 120.0
* (5 - 18 * tanB * tanB + pow(tanB, 4) - 14 * q2 - 58 * q2 * pow(tanB, 2)) * N * pow(m, 5);
y = y + 1000000 * prjno + 500000;
pcc->x = x;
pcc->y = y - 38000000;
pcc->z = 0;
}
double BLDistance(CRDGEODETIC *pcg1, CRDGEODETIC *pcg2, int Datum, int zonewide)
{
CRDCARTESIAN pcc1, pcc2;
BLTOXY(&pcc1, pcg1, Datum, zonewide);
BLTOXY(&pcc2, pcg2, Datum, zonewide);
double xdes = fabs(pcc1.x - pcc2.x);
double ydes = fabs(pcc1.y - pcc2.y);
double des = sqrt(xdes * xdes + ydes * ydes);
return des;
}