import random
from mpl_toolkits import mplot3d
import numpy as np
import math
import matplotlib.pyplot as plt
%matplotlib inline
ax=plt.axes(projection="3d")

N=1000
x=[]
y=[]
z=[]
r=1


#經度
def longitude(lng): 
  phi=(180+lng)*(math.pi/180)
  return phi

#緯度
def latitude(lat):
  theta=lat*(math.pi/180)
  return theta

for i in range(-80,90,10):
  for j in np.arange(-180,180,360/((N-2)/17)):
    #x.append(-r*math.sin(latitude(i))*math.cos(longitude(j)))
    #y.append(r*math.cos(latitude(i)))
    #z.append(r*math.sin(latitude(i))*math.sin(longitude(j)))
    
    x.append(r*math.cos(latitude(i))*math.cos(longitude(j)))
    z.append(r*math.sin(latitude(i)))
    y.append(r*math.cos(latitude(i))*math.sin(longitude(j)))

x.append(r*math.cos(latitude(-90))*math.cos(longitude(0)))
z.append(r*math.sin(latitude(-90)))
y.append(r*math.cos(latitude(-90))*math.sin(longitude(0)))

x.append(r*math.cos(latitude(90))*math.cos(longitude(0)))
z.append(r*math.sin(latitude(90)))
y.append(r*math.cos(latitude(90))*math.sin(longitude(0)))

xline=np.array(x)
yline=np.array(y)
zline=np.array(z)
print(xline.shape)
ax.scatter3D(xline,yline,zline,s=2)
plt.savefig("D:\\samples\\經緯度采樣.png")