G2313班殷浩然、肖垚的Python程序作品《n 次根式近似值计算器》

程序作品源码：

# 导入库
import tkinter as tk
from tkinter import messagebox
from fractions import Fraction
import os

# 调整小数点
def adjust(num):
    adjust.times_adjustment = 0
    if num == 0:
        adjust.times_adjustment = 0
    elif num < 1:
        while num < 1:
            num *= 10
            adjust.times_adjustment += 1
    elif num > 1:
        while num > 1:
            num /= 10
            adjust.times_adjustment -= 1
    else:
        adjust.times_adjustment = -1
    return adjust.times_adjustment

# 程序主体
def calculate():
    value_n = entry_n.get()
    value_m = entry_m.get()
    if not value_n or not value_m:
        messagebox.showinfo("提示", "请输入正确的数值！")
    else:
        x = float(1)
        n = float(value_n)
        m = float(value_m)
        times_iteration = int(entry_iteration.get())

        # 使用公式进行迭代计算
        for i in range(1, (times_iteration + 1)):
            x = ((x * (n - 1)) / n) + (m / (n * x**(n - 1)))

        # 使用运算符计算精确值
        X = m**(1 / n)
        
        # 计算分数形式
        x_fraction = Fraction(x).limit_denominator()
        numerator = x_fraction.numerator
        denominator = x_fraction.denominator

        # 输出结果
        result_text.set(f"公式计算结果：\n小数形式：x = {x}\n分数形式：x = {numerator}/{denominator}\n\n计算器计算结果: x = {X}\n\n误差约为：{abs(X - x)}")

        # 迭代次数对误差的影响
        key = 0
        
        for i in range(1, (times_iteration + 1)):
            xX = 1
            for I in range(1, (i + 1)):
                xX = ((xX * (n - 1)) / n) + (m / (n * xX**(n - 1)))
            if i == times_iteration:
                continue
            elif adjust(abs(X - xX)) == key:
                continue
            key = adjust(abs(X - xX))
            if abs(X - xX) == 0:
                iteration_result_text.set(f"\n迭代次数为: {i} 时 误差几乎为 0.0\n结束迭代")
                break
            else:
                iteration_result_text.set(f"\n迭代次数为: {i} 时  误差减小到后{abs(X - xX)}位\n误差约为 {float(abs(X - xX))}")
    pass

# 创建主窗口
root = tk.Tk()
root.title("n 次根式近似值计算器")

# 创建输入框和标签
label_n = tk.Label(root, text="请输入要开方的指数（阿拉伯数字）：", anchor="w")
label_n.grid(row=0, column=0, padx=10, pady=5, sticky="w")
entry_n = tk.Entry(root)
entry_n.grid(row=0, column=1, padx=10, pady=5, sticky="w")

label_m = tk.Label(root, text="请输入要开方的数字 x（x 为正整数）：")
label_m.grid(row=1, column=0, padx=10, pady=5, sticky="w")
entry_m = tk.Entry(root)
entry_m.grid(row=1, column=1, padx=10, pady=5, sticky="w")

label_iteration = tk.Label(root, text="请输入要迭代的次数：")
label_iteration.grid(row=2, column=0, padx=10, pady=5, sticky="w")
entry_iteration = tk.Entry(root)
entry_iteration.grid(row=2, column=1, padx=10, pady=5, sticky="w")

# 创建计算按钮
calculate_button = tk.Button(root, text="计算", command=calculate, width=30)
calculate_button.grid(row=3, column=0, columnspan=2, padx=10, pady=5)

# 创建结果展示区域
result_text = tk.StringVar()
result_label = tk.Label(root, textvariable=result_text)
result_label.grid(row=4, column=0, columnspan=2, padx=10, pady=5)

iteration_result_text = tk.StringVar()
iteration_result_label = tk.Label(root, textvariable=iteration_result_text)
iteration_result_label.grid(row=5, column=0, columnspan=2, padx=10, pady=5)

# 运行主循环
root.mainloop()

    程序运行结果：

    《2024年校科技节之中小学信息素养实践活动作品评奖结果公示》获奖作品等级不高，不是作品不好，而是获奖比例有限制。