随机漫步
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
self.x_values = [0]
self.y_values = [0]
def fill_walk(self):
"""计算随机漫步包含的所有点"""
while len(self.x_values) < self.num_points:
x_direction = choice([1, -1])
x_distance = choice([0, 1, 2, 3, 4])
x_step = x_direction * x_distance
y_direction = choice([1, -1])
y_distance = choice([0, 1, 2, 3, 4])
y_step = y_direction * y_distance
if x_step == 0 and y_step == 0:
continue
next_x = self.x_values[-1] + x_step
next_y = self.y_values[-1] + y_step
self.x_values.append(next_x)
self.y_values.append(next_y)
绘制随机漫步图
import matplotlib.pyplot as plt
from random_walk import RandomWalk
rw = RandomWalk()
rw.fill_walk()
plt.scatter(rw.x_values,rw.y_values,s=15)
plt.show()

模拟多次随机漫步
import matplotlib.pyplot as plt
from random_walk import RandomWalk
while True:
rw = RandomWalk()
rw.fill_walk()
plt.scatter(rw.x_values,rw.y_values,s=15)
plt.show()
keep_running = input("Make another walk? (y/n):")
if keep_running == 'n':
break

import matplotlib.pyplot as plt
from random_walk import RandomWalk
while True:
rw = RandomWalk()
rw.fill_walk()
point_numbers = list(range(rw.num_points))
plt.scatter(rw.x_values,rw.y_values,c=point_numbers,cmap=plt.cm.Blues,
edgecolor='none',s=15)
plt.show()
keep_running = input("Make another walk? (y/n):")
if keep_running == 'n':
break

重新绘制起点和重点
import matplotlib.pyplot as plt
from random_walk import RandomWalk
while True:
rw = RandomWalk()
rw.fill_walk()
point_numbers = list(range(rw.num_points))
plt.scatter(rw.x_values,rw.y_values,c=point_numbers,cmap=plt.cm.Blues,
edgecolor='none',s=15)
plt.scatter(0,0,c='green',edgecolor='none',s=100)
plt.scatter(rw.x_values[-1],rw.y_values[-1],c='red',edgecolor='none',
s=100)
plt.show()
keep_running = input("Make another walk? (y/n):")
if keep_running == 'n':
break

隐藏坐标轴
import matplotlib.pyplot as plt
from random_walk import RandomWalk
while True:
rw = RandomWalk()
rw.fill_walk()
point_numbers = list(range(rw.num_points))
plt.scatter(rw.x_values,rw.y_values,c=point_numbers,cmap=plt.cm.Blues,
edgecolor='none',s=15)
plt.scatter(0,0,c='green',edgecolor='none',s=100)
plt.scatter(rw.x_values[-1],rw.y_values[-1],c='red',edgecolor='none',
s=100)
plt.axes().get_xaxis().set_visible(False)
plt.axes().get_yaxis().set_visible(False)
plt.show()
keep_running = input("Make another walk? (y/n):")
if keep_running == 'n':
break

增加点数
import matplotlib.pyplot as plt
from random_walk import RandomWalk
while True:
rw = RandomWalk(50000)
rw.fill_walk()
point_numbers = list(range(rw.num_points))
plt.scatter(rw.x_values,rw.y_values,c=point_numbers,cmap=plt.cm.Blues,
edgecolor='none',s=15)
plt.scatter(0,0,c='green',edgecolor='none',s=100)
plt.scatter(rw.x_values[-1],rw.y_values[-1],c='red',edgecolor='none',
s=100)
plt.axes().get_xaxis().set_visible(False)
plt.axes().get_yaxis().set_visible(False)
plt.show()
keep_running = input("Make another walk? (y/n):")
if keep_running == 'n':
break

调整尺寸以适合屏幕
import matplotlib.pyplot as plt
from random_walk import RandomWalk
while True:
rw = RandomWalk()
rw.fill_walk()
plt.figure(dpi=128,figsize=(10,6))
point_numbers = list(range(rw.num_points))
plt.scatter(rw.x_values,rw.y_values,c=point_numbers,cmap=plt.cm.Blues,
edgecolor='none',s=15)
plt.scatter(0,0,c='green',edgecolor='none',s=100)
plt.scatter(rw.x_values[-1],rw.y_values[-1],c='red',edgecolor='none',
s=100)
plt.axes().get_xaxis().set_visible(False)
plt.axes().get_yaxis().set_visible(False)
plt.show()
keep_running = input("Make another walk? (y/n):")
if keep_running == 'n':
break