1.醉汉漫步/随机漫步
from random import choice
import matplotlib.pyplot as plt
class RandomWalk():
def __init__(self, num_points=1000):
# 初始化随机漫步的步数
self.num_points = num_points
# 初始化随机漫步的起点是(0,0)
self.x_values = [0]
self.y_values = [0]
def random_walk(self):
# 不断循环直到指定长度
while len(self.x_values) < self.num_points:
# 决定前进的方向以及沿这个方向前进的距离
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
# 拒绝原地踏步
if x_step == 0 and y_step == 0:
continue
# 计算下一个点的坐标值
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)
while True:
rw = RandomWalk()
rw.random_walk()
# 给点着色,颜色映射
points_numbers = list(range(rw.num_points))
plt.scatter(rw.x_values, rw.y_values, c=points_numbers, cmap=plt.cm.Blues,
edgecolor='none', s=10)
# 突出起点和终点显示路线连线
plt.scatter(0, 0, c='red', edgecolor='none', s=50)
plt.scatter(rw.x_values[-1], rw.y_values[-1], c='black', edgecolor='none', s=50)
plt.plot(rw.x_values, rw.y_values, linewidth=1)
# 隐藏坐标轴
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