利用函数补充编写模拟计算器程序，要求含有加法、减法、乘法、除法、幂运算、取余和取整等运算。每个运算为一个函数，且程序循环获取用户的运算请求，直到用户确认退出，程序结束。 功能（主菜单）如下： 1：加法 2：减法 3：乘法 4：除法 5：幂运算 6：取余 7：开平方 q：退出

可以使用Python来实现这个计算器程序，以下是代码实现：

import math

def add(x, y):
    return x + y

def subtract(x, y):
    return x - y

def multiply(x, y):
    return x * y

def divide(x, y):
    if y == 0:
        return "Error: divide by zero"
    else:
        return x / y

def power(x, y):
    return x ** y

def remainder(x, y):
    if y == 0:
        return "Error: divide by zero"
    else:
        return x % y

def square_root(x):
    if x < 0:
        return "Error: cannot take square root of negative number"
    else:
        return math.sqrt(x)

def get_user_input():
    operation = input("Enter operation (+, -, *, /, **, %, sqrt, q to quit): ")
    if operation == "q":
        return (operation, None, None)
    elif operation == "sqrt":
        x = float(input("Enter a number: "))
        return (operation, x, None)
    else:
        x = float(input("Enter first number: "))
        y = float(input("Enter second number: "))
        return (operation, x, y)

def perform_operation(operation, x, y):
    if operation == "+":
        result = add(x, y)
    elif operation == "-":
        result = subtract(x, y)
    elif operation == "*":
        result = multiply(x, y)
    elif operation == "/":
        result = divide(x, y)
    elif operation == "**":
        result = power(x, y)
    elif operation == "%":
        result = remainder(x, y)
    elif operation == "sqrt":
        result = square_root(x)

    return result

while True:
    operation, x, y = get_user_input()
    if operation == "q":
        break
    else:
        result = perform_operation(operation, x, y)
        print("Result: ", result)

运行程序后，会进入一个循环，每次获取用户输入的运算请求，然后调用对应的函数进行计算，最后输出结果。用户可以输入“q”来退出程序。