数据可视化(三)随机漫步
random_walk.py
from random import choice
class RandomWalk():
"""一个生成随机漫步数据的类"""
def __init__(self,num_points=5000):
"""初始化随机漫步的属性"""
self.num_points=num_points
#所有的随机漫步都属于(0,0)
self.x_values = [0]
self.y_valyes = [0]
def fill_walk(self):
"""计算随机漫步包含的所有点"""
# 不断漫步,知道列表达到指点的长度
while len(self.x_values) < self.num_points:
# 决定前进方向以及沿这个方向前进的距离
x_diraction = choice([1,-1])
x_distance = choice([0,1,2,3,4])
x_step = x_diraction * x_distance
y_diraction = choice([1,-1])
y_distance = choice([0,1,2,3,4])
y_step = y_diraction * y_distance
# 拒绝原地踏步
if x_step == 0 and y_step == 0:
continue
#计算下一个点的X和Y值
next_x = self.x_values[-1] + x_step
next_y = self.y_valyes[-1] + y_step
self.x_values.append(next_x)
self.y_valyes.append(next_y)
第二个脚本:
rw_visual.py
import matplotlib.pyplot as plt
from random_walk import RandomWalk
# 创建一个RandomWalk实例,并将其包含的点都绘制出来
rw = RandomWalk()
rw.fill_walk()
plt.scatter(rw.x_values,rw.y_valyes,s=15)
plt.show()
执行结果:
![](data:image/png;base64,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)