后方交会qt c++代码。已知三点坐标和方位角。帮我写个代码

好的，以下是一个简单的后方交会算法的QT C++代码示例，假设已知三个点的坐标和方位角：

#include <QtCore/QCoreApplication>
#include <QtCore/QDebug>
#include <QtMath>

// 定义点结构体
struct Point {
    double x;
    double y;
    double z;
};

// 后方交会算法
Point resection(Point A, Point B, Point C, double alpha, double beta, double gamma) {
    // 将方位角转换为弧度制
    alpha = qDegreesToRadians(alpha);
    beta = qDegreesToRadians(beta);
    gamma = qDegreesToRadians(gamma);
    
    // 计算向量AB, AC
    double ABx = B.x - A.x;
    double ABy = B.y - A.y;
    double ABz = B.z - A.z;
    double ACx = C.x - A.x;
    double ACy = C.y - A.y;
    double ACz = C.z - A.z;
    
    // 计算旋转矩阵
    double R11 = qCos(beta) * qCos(gamma);
    double R12 = -qCos(beta) * qSin(gamma);
    double R13 = qSin(beta);
    double R21 = qSin(alpha) * qSin(beta) * qCos(gamma) + qCos(alpha) * qSin(gamma);
    double R22 = -qSin(alpha) * qSin(beta) * qSin(gamma) + qCos(alpha) * qCos(gamma);
    double R23 = -qSin(alpha) * qCos(beta);
    double R31 = -qCos(alpha) * qSin(beta) * qCos(gamma) + qSin(alpha) * qSin(gamma);
    double R32 = qCos(alpha) * qSin(beta) * qSin(gamma) + qSin(alpha) * qCos(gamma);
    double R33 = qCos(alpha) * qCos(beta);
    
    // 计算旋转矩阵的逆矩阵
    double det = R11 * R22 * R33 + R12 * R23 * R31 + R13 * R21 * R32 - R11 * R23 * R32 - R12 * R21 * R33 - R13 * R22 * R31;
    double invR11 = (R22 * R33 - R23 * R32) / det;
    double invR12 = (R13 * R32 - R12 * R33) / det;
    double invR13 = (R12 * R23 - R13 * R22) / det;
    double invR21 = (R23 * R31 - R21 * R33) / det;
    double invR22 = (R11 * R33 - R13 * R31) / det;
    double invR23 = (R13 * R21 - R11 * R23) / det;
    double invR31 = (R21 * R32 - R22 * R31) / det;
    double invR32 = (R12 * R31 - R11 * R32) / det;
    double invR33 = (R11 * R22 - R12 * R21) / det;
    
    // 计算基线向量B1B2
    double B1x = invR11 * ABx + invR12 * ABy + invR13 * ABz;
    double B1y = invR21 * ABx + invR22 * ABy + invR23 * ABz;
    double B1z = invR31 * ABx + invR32 * ABy + invR33 * ABz;
    double B2x = invR11 * ACx + invR12 * ACy + invR13 * ACz;
    double B2y = invR21 * ACx + invR22 * ACy + invR23 * ACz;
    double B2z = invR31 * ACx + invR32 * ACy + invR33 * ACz;
    
    // 计算基线向量的长度
    double B1B2 = qSqrt(qPow((B2x - B1x), 2) + qPow((B2y - B1y), 2) + qPow((B2z - B1z), 2));
    
    // 计算t1, t2
    double t1 = qSqrt(qPow((A.x - B.x), 2) + qPow((A.y - B.y), 2) + qPow((A.z - B.z), 2));
    double t2 = qSqrt(qPow((A.x - C.x), 2) + qPow((A.y - C.y), 2) + qPow((A.z - C.z), 2));
    
    // 计算坐标值
    double x = A.x + B1x * t1 / B1B2;
    double y = A.y + B1y * t1 / B1B2;
    double z = A.z + B1z * t1 / B1B2;
    
    // 返回结果
    return {x, y, z};
}

int main(int argc, char *argv[])
{
    QCoreApplication a(argc, argv);
    
    // 测试数据
    Point A = {0, 0, 0};
    Point B = {100, 0, 0};
    Point C = {0, 100, 0};
    double alpha = 30;
    double beta = 40;
    double gamma = 50;
    
    // 调用后方交会算法
    Point result = resection(A, B, C, alpha, beta, gamma);
    
    // 输出结果
    qDebug() << "x:" << result.x << ", y:" << result.y << ", z:" << result.z;

    return a.exec();
}

请注意，这只是一个简单的示例代码，实际应用中需要考虑更多的因素，如误差分析、精度要求等。