在pycharm中 利用白塞尔方法编写代码进行大地主题反算

以下是一个使用白塞尔方法进行大地主题反算的 Python 代码示例：

import math

a = 6378137.0
b = 6356752.3142
f = (a - b) / a
e = math.sqrt(2 * f - pow(f, 2))
PI = math.pi

def rad2deg(rad):
    return rad / PI * 180.0

def deg2rad(deg):
    return deg * PI / 180.0

def calcM(lat):
    W = math.sqrt(1 - pow(e * math.sin(lat), 2))
    return a * (1 - pow(e, 2)) / pow(W, 3)

def calcN(lat):
    W = math.sqrt(1 - pow(e * math.sin(lat), 2))
    return a / W

def calcT(lat):
    return pow(math.tan(lat), 2)

def calcC(lat):
    W = math.sqrt(1 - pow(e * math.sin(lat), 2))
    return pow(e * math.cos(lat) / W, 2)

def calcA(lat):
    W = math.sqrt(1 - pow(e * math.sin(lat), 2))
    return (a / W) * (1 - pow(e, 2)) / pow(W, 2)

def calcS(lat1, lon1, lat2, lon2):
    dx = lon2 - lon1
    dy = lat2 - lat1

    lat1_rad = deg2rad(lat1)
    lat2_rad = deg2rad(lat2)
    dx_rad = deg2rad(dx)

    N1 = calcN(lat1_rad)
    M1 = calcM(lat1_rad)
    T1 = calcT(lat1_rad)
    C1 = calcC(lat1_rad)
    A1 = calcA(lat1_rad)

    W1 = math.sqrt(1 - pow(e * math.sin(lat1_rad), 2))
    cos_lat1 = math.cos(lat1_rad)
    sin_lat1 = math.sin(lat1_rad)
    sin2_lat1 = pow(sin_lat1, 2)
    cos2_lat1 = pow(cos_lat1, 2)

    W2 = math.sqrt(1 - pow(e * math.sin(lat2_rad), 2))
    cos_lat2 = math.cos(lat2_rad)
    sin_lat2 = math.sin(lat2_rad)
    sin2_lat2 = pow(sin_lat2, 2)
    cos2_lat2 = pow(cos_lat2, 2)

    Wx = W2 - W1
    Wx2 = pow(Wx, 2)
    Wy = (cos_lat2 * dx_rad)
    Wy2 = pow(Wy, 2)

    M2 = calcM(lat2_rad)
    N2 = calcN(lat2_rad)
    T2 = calcT(lat2_rad)
    C2 = calcC(lat2_rad)
    A2 = calcA(lat2_rad)

    M = (M1 + M2) / 2.0

    mx = dx_rad * cos_lat1 * M
    my = dy * M

    m = math.sqrt(pow(mx, 2) + pow(my, 2))

    latm = lat1_rad + (dy - (T1 + C1) * (pow(dy, 3) / 6.0) + (5.0 - 18.0 * T1 + pow(T1, 2) + 72.0 * C1 - 58.0 * A1) * (pow(dy, 5) / 120.0)) / M
    Wm = math.sqrt(1 - pow(e * math.sin(latm), 2))
    Nm = a / Wm
    Tm = pow(math.tan(latm), 2)
    Cm = pow(e * math.cos(latm) / Wm, 2)
    Am = (a / Wm) * (1 - pow(e, 2)) / pow(Wm, 2)

    theta = math.atan(mx / my)
    if my < 0:
        theta += PI

    s = m * math.cos(theta) + (Wx2 - Wy2) / (2.0 * Nm)

    return s

def calcAzimuth(lat1, lon1, lat2, lon2):
    lat1_rad = deg2rad(lat1)
    lat2_rad = deg2rad(lat2)
    dLon_rad = deg2rad(lon2 - lon1)

    y = math.sin(dLon_rad) * math.cos(lat2_rad)
    x = math.cos(lat1_rad) * math.sin(lat2_rad) - math.sin(lat1_rad) * math.cos(lat2_rad) * math.cos(dLon_rad)
    azimuth_rad = math.atan2(y, x)

    return rad2deg(azimuth_rad)

lat1 = 22.331
lon1 = 114.264
lat2 = 22.351
lon2 = 114.162

s = calcS(lat1, lon1, lat2, lon2)
azimuth = calcAzimuth(lat1, lon1, lat2, lon2)

print("S = ", s, "m")
print("Azimuth = ", azimuth, "deg")

在这个示例中，我们首先定义了一些常量，例如地球椭球体的长半轴 `a`、短半轴 `b`、扁率 `f` 和第一偏心率 `e`。然后，我们实现了一些函数来计算需要用到的各个参数，例如子午线曲率半径 `M`、卯酉圈曲率半径 `N`、子午线弧长公式中的参数 `T`、`C` 和 `A`，以及两点之间的大地线长度 `S` 和方位角 `azimuth`。最后，我们在 `main` 函数中调用这些函数来计算两点之间的大地线长度和方位角，并将它们输出到控制台上。

需要注意的是，在实现白塞尔方法时，需要将角度转换为弧度计算。在本示例中，我们使用了 `deg2rad` 和 `rad2deg` 两个函数来进行角度和弧度的转换。同时，为了方便起见，我们将计算中经常用到的参数都定义为常量，以免在多处使用时出现错误。