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#include "stdafx.h"
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#include "geocompute.h"
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GeoCompute::GeoCompute(void)
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{
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}
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GeoCompute::~GeoCompute(void)
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{
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}
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/*@brief 根据起点坐标、方位角、距离，计算另一点坐标。
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* 使用Vincenty's公式求解,使用WGS-84椭球
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* startPoint:起始点地理坐标点（lat(-90到90)，lon(-180,180)）
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* bearing:方位角（度）
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* dist:两点之间距离(km)
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*/
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void GeoCompute::computeOffsetGeoPosition(double lon1, double lat1, double bearing, double dist,double& targetLon,double& targetLat)
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{
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//角度转化为弧度
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// qreal lon1 = (fmod(startPoint.x()+540,360)-180.0)*PI/180;
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lon1 = lon1*PI/180.0;
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lat1 = lat1*PI/180.0;
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bearing = bearing*PI/180.0;
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dist = dist*1000;
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//WGS-84椭球参数
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double flat = 298.257223563;
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double a = 6378137.0;
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double b = 6356752.314245;
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//开始求解坐标
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double f = 1/flat;
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double sb = sin(bearing);
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double cb = cos(bearing);
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double tu1 = (1-f)*tan(lat1);
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double cu1 = 1/sqrt((1+tu1*tu1));
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double su1 = tu1*cu1;
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double s2 = atan2(tu1, cb);
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double sa = cu1*sb;
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double csa = 1-sa*sa;
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double us = csa*(a*a - b*b)/(b*b);
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double A = 1+us/16384*(4096+us*(-768+us*(320-175*us)));
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double B = us/1024*(256+us*(-128+us*(74-47*us)));
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double s1 = dist/(b*A);
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double s1p = 2*PI;
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double cs1m = 0.0;
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double ss1 = 0.0;
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double cs1 = 0.0;
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double ds1 = 0.0;
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while (abs(s1-s1p) > 1e-12)
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{
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cs1m = cos(2*s2+s1);
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ss1 = sin(s1);
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cs1 = cos(s1);
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ds1 = B*ss1*(cs1m+B/4*(cs1*(-1+2*cs1m*cs1m)- B/6*cs1m*(-3+4*ss1*ss1)*(-3+4*cs1m*cs1m)));
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s1p = s1;
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s1 = dist/(b*A)+ds1;
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}
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double t = su1*ss1-cu1*cs1*cb;
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double lat2 = atan2(su1*cs1+cu1*ss1*cb, (1-f)*sqrt(sa*sa + t*t));
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double l2 = atan2(ss1*sb, cu1*cs1-su1*ss1*cb);
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double c = f/16*csa*(4+f*(4-3*csa));
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double l = l2-(1-c)*f*sa* (s1+c*ss1*(cs1m+c*cs1*(-1+2*cs1m*cs1m)));
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double lon2 = lon1+l;
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targetLon = lon2*180/PI;
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targetLat = lat2*180/PI;
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}
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// 使用Vincenty's公式计算地理距离
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double GeoCompute::VincentyDistance(double lon1, double lat1, double lon2, double lat2) {
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// 常量定义
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const double a = 6378137.0; // 地球长半轴 (米)
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const double f = 1 / 298.257223563; // 地球扁率
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const double b = a * (1 - f); // 地球短半轴 (米)
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lat1 = lat1* M_PI / 180.0;
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lon1 = lon1* M_PI / 180.0;
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lat2 = lat2* M_PI / 180.0;
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lon2 = lon2* M_PI / 180.0;
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double L = lon2 - lon1;
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double U1 = atan((1 - f) * tan(lat1));
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double U2 = atan((1 - f) * tan(lat2));
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double sinU1 = sin(U1), cosU1 = cos(U1);
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double sinU2 = sin(U2), cosU2 = cos(U2);
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double lambda = L, lambdaP;
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int iterLimit = 100;
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double sinLambda, cosLambda;
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double sinSigma, cosSigma, sigma;
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double sinAlpha, cos2Alpha, cos2SigmaM;
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double C;
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do {
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sinLambda = sin(lambda);
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cosLambda = cos(lambda);
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sinSigma = sqrt((cosU2 * sinLambda) * (cosU2 * sinLambda) +
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(cosU1 * sinU2 - sinU1 * cosU2 * cosLambda) * (cosU1 * sinU2 - sinU1 * cosU2 * cosLambda));
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if (sinSigma == 0) return 0; // co-incident points
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cosSigma = sinU1 * sinU2 + cosU1 * cosU2 * cosLambda;
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sigma = atan2(sinSigma, cosSigma);
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sinAlpha = cosU1 * cosU2 * sinLambda / sinSigma;
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cos2Alpha = 1 - sinAlpha * sinAlpha;
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cos2SigmaM = cosSigma - 2 * sinU1 * sinU2 / cos2Alpha;
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if (cos2Alpha == 0) cos2SigmaM = 0; // equatorial line: cos2Alpha=0
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C = f / 16 * cos2Alpha * (4 + f * (4 - 3 * cos2Alpha));
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lambdaP = lambda;
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lambda = L + (1 - C) * f * sinAlpha *
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(sigma + C * sinSigma * (cos2SigmaM + C * cosSigma * (-1 + 2 * cos2SigmaM * cos2SigmaM)));
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} while (fabs(lambda - lambdaP) > 1e-12 && --iterLimit > 0);
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if (iterLimit == 0) return -1; // formula failed to converge, return -1 or an appropriate error code
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double uSquared = cos2Alpha * (a * a - b * b) / (b * b);
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double A = 1 + uSquared / 16384 * (4096 + uSquared * (-768 + uSquared * (320 - 175 * uSquared)));
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double B = uSquared / 1024 * (256 + uSquared * (-128 + uSquared * (74 - 47 * uSquared)));
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double deltaSigma = B * sinSigma *
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(cos2SigmaM + B / 4 * (cosSigma * (-1 + 2 * cos2SigmaM * cos2SigmaM) -
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B / 6 * cos2SigmaM * (-3 + 4 * sinSigma * sinSigma) * (-3 + 4 * cos2SigmaM * cos2SigmaM)));
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double s = b * A * (sigma - deltaSigma);
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return s;
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}
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