#!/usr/bin/python3.4
# -*- coding:utf-8 -*-
 
 
def isPointinPolygon(point, rangelist): #[[0,0],[1,1],[0,1],[0,0]] [1,0.8]
  # 判斷是否在外包矩形內，如果不在，直接返回false
  lnglist = []
  latlist = []
  for i in range(len(rangelist)-1):
    lnglist.append(rangelist[i][0])
    latlist.append(rangelist[i][1])
  print(lnglist, latlist)
  maxlng = max(lnglist)
  minlng = min(lnglist)
  maxlat = max(latlist)
  minlat = min(latlist)
  print(maxlng, minlng, maxlat, minlat)
  if (point[0] > maxlng or point[0] < minlng or
    point[1] > maxlat or point[1] < minlat):
    return False
  count = 0
  point1 = rangelist[0]
  for i in range(1, len(rangelist)):
    point2 = rangelist[i]
    # 點與多邊形頂點重合
    if (point[0] == point1[0] and point[1] == point1[1]) or (point[0] == point2[0] and point[1] == point2[1]):
      print("在頂點上")
      return False
    # 判斷線段兩端點是否在射線兩側 不在肯定不相交 射線（-∞，lat）（lng,lat）
    if (point1[1] < point[1] and point2[1] >= point[1]) or (point1[1] >= point[1] and point2[1] < point[1]):
      # 求線段與射線交點 再和lat比較
      point12lng = point2[0] - (point2[1] - point[1]) * (point2[0] - point1[0])/(point2[1] - point1[1])
      print(point12lng)
      # 點在多邊形邊上
      if (point12lng == point[0]):
        print("點在多邊形邊上")
        return False
      if (point12lng < point[0]):
        count +=1
    point1 = point2
  print(count)
  if count%2 == 0:
    return False
  else:
    return True
 
 
if __name__ == '__main__':
  print(isPointinPolygon([0.8,0.8], [[0,0],[1,1],[0,1],[0,0]]))