在希尔伯特曲线中，我如何将库乌龟从更改为matplotlib？
在希尔伯特曲线中，我如何将库乌龟从更改为matplotlib？
提问于 2021-05-13 00:16:16
我真的不知道如何在保留递归的情况下解决问题，我正在研究海龟库，但在签名中他们要求使用matplotlib，所以我不太确定如何使用它
from turtle import Turtle
def hilbert_curve(turtle, A, parity, n):
if n == 1:
hilbert_curve_draw(turtle, A, parity)
else:
turtle.right(parity * 90)
hilbert_curve(turtle, A, - parity, n - 1)
turtle.forward(A)
turtle.left(parity * 90)
hilbert_curve(turtle, A, parity, n - 1)
turtle.forward(A)
hilbert_curve(turtle, A, parity, n - 1)
turtle.left(parity * 90)
turtle.forward(A)
hilbert_curve(turtle, A, - parity, n - 1)
turtle.right(parity * 90)
def hilbert_curve_draw(turtle, A, parity):
turtle.right(parity * 90)
turtle.forward(A)
turtle.left(parity * 90)
turtle.forward(A)
turtle.left(parity * 90)
turtle.forward(A)
turtle.right(parity * 90)
yertle = Turtle()
yertle.hideturtle()
yertle.penup()
yertle.goto(-200, 200)
yertle.pendown()
yertle.speed('fastest')
hilbert_curve(yertle, 60, 1, 3)回答 1
Stack Overflow用户
回答已采纳
发布于 2021-05-13 15:15:47
乌龟的位置和方向保持着一种内部状态。这些可以用局部变量来表示。方向可以是表示长度为1的向量的元组(xdir, ydir)。向左旋转将使向量与旋转矩阵相乘。当仅使用坐标为-1、0和1的向量时，可以简化旋转。
下面的代码实现了这些想法。为了使代码更具可读性，将A重命名为length，将n重命名为levels。
from matplotlib import pyplot as plt
def turn_left(orient, parity):
return (orient[1] * parity, -orient[0] * parity)
def turn_right(orient, parity):
return turn_left(orient, -parity)
def draw_line(x0, y0, orient, length):
x1 = x0 + orient[0] * length
y1 = y0 + orient[1] * length
plt.plot([x0, x1], [y0, y1], color='navy')
return x1, y1
def hilbert_curve_draw(x, y, length, orient, parity):
orient = turn_right(orient, parity)
x, y = draw_line(x, y, orient, length)
orient = turn_left(orient, parity)
x, y = draw_line(x, y, orient, length)
orient = turn_left(orient, parity)
x, y = draw_line(x, y, orient, length)
orient = turn_right(orient, parity)
return x, y, orient
def hilbert_curve(x, y, length, orient, parity, levels):
if levels == 1:
x, y, orient = hilbert_curve_draw(x, y, length, orient, parity)
else:
orient = turn_right(orient, parity)
x, y, orient = hilbert_curve(x, y, length, orient, - parity, levels - 1)
x, y = draw_line(x, y, orient, length)
orient = turn_left(orient, parity)
x, y, orient = hilbert_curve(x, y, length, orient, parity, levels - 1)
x, y = draw_line(x, y, orient, length)
x, y, orient = hilbert_curve(x, y, length, orient, parity, levels - 1)
orient = turn_left(orient, parity)
x, y = draw_line(x, y, orient, length)
x, y, orient = hilbert_curve(x, y, length, orient, - parity, levels - 1)
orient = turn_right(orient, parity)
return x, y, orient
hilbert_curve(x=-200, y=200, length=5, orient=(1, 0), parity=1, levels=5)
plt.axis('equal') # same lengths in x and y direction
plt.show()
页面原文内容由Stack Overflow提供。腾讯云小微IT领域专用引擎提供翻译支持
原文链接：
https://stackoverflow.com/questions/67507363
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