我目前正在編寫一個程序,它使用辛普森的3/8規則繪製多項式圖形並對兩個端點之間的曲線下面的區域進行着色,然後將該信息打印在圖上。目前,程序在兩個端點(2和9)之間對於一個多項式(「(x-3)*(x-5)*(x-7)+85」)正常工作。但是,當試圖讓程序接受多項式的輸入或使用輸入命令的任一端點時,程序會凍結並崩潰,而不會構建圖形。即使當前的數字重新輸入,也會發生這種情況。下面是代碼:Python程序在輸入輸入時凍結並關閉?
這裏是代碼
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.patches import Polygon
在這裏,我定義多項式爲FUNC(X)
def func(x):
return (x - 3) * (x - 5) * (x - 7) + 85
在這裏,我定義與要計算其功能的基礎使用辛普森規則的曲線下面積
def simpson(function, a, b, n):
"""Approximates the definite integral of f from a to b by the
composite Simpson's rule, using n subintervals (with n even)"""
if n % 2:
raise ValueError("n must be even (received n=%d)" % n)
h = (b - a)/n #The first section of Simpson's 3/8ths rule
s = function(a) + function(b) #The addition of functions over an interval
for i in range(1, n, 2):
s += 4 * function(a + i * h)
for i in range(2, n-1, 2):
s += 2 * function(a + i * h)
return(s * h/3)
在這裏我定義了要在其間整合的端點率
a, b = 2, 9 # integral limits
這裏是爲了方便
幾個定義x = np.linspace(0, 10) #Generates 100 points evenly spaced between 0 and 10
y = func(x) #Just defines y to be f(x) so its ez later on
fig, ax = plt.subplots()
plt.plot(x, y, 'r', linewidth=2)
plt.ylim(ymin=0)
final_integral = simpson(lambda t:func(t), a, b, 100000)
在這裏,我構建了陰影區域
# Make the shaded region
ix = np.linspace(a, b)
iy = func(ix)
verts = [(a, 0)] + list(zip(ix, iy)) + [(b, 0)]
poly = Polygon(verts, facecolor='0.9', edgecolor='0.5')
ax.add_patch(poly)
這裏我打印圖形上的積分符號
plt.text(0.5 * (a + b), 30, r"$\int_a^b f(x)\mathrm{d}x$",
horizontalalignment='center', fontsize=20)
這裏我打印如用Simpson 3/3/8計算出的曲線下的面積在圖上排除
ax.text(0.25, 135, r"Using Simpson's 3/8ths rule, the area under the curve is: ", fontsize=20) #r denotes a raw string
ax.text(0.25, 114, final_integral , fontsize=20) #prints the value of the
integral defined using simpson's 3/8ths prior
在這裏,我完成構建圖形
plt.figtext(0.9, 0.05, '$x$')
plt.figtext(0.1, 0.9, '$y$')
ax.spines['right'].set_visible(False) #no dashes on axis
ax.spines['top'].set_visible(False)
ax.xaxis.set_ticks_position('bottom')
ax.set_xticks((a, b))
ax.set_xticklabels(('$a$', '$b$'))
ax.set_yticks([])
plt.show()
然而,當我改變兩個端點被定義爲讀取線'a,b = int(輸入(「以2,9格式輸入您的端點))#積分限制',程序errors out as shown.
任何幫助,將不勝感激。我正在努力理解這種困境,所以我喜歡不提供更多信息。