python - 在 python 中使用二等分搜索计算最低月付款

Question

我目前正在上 edx 上的 MITx 课程，但我对一项练习有疑问。你能告诉我为什么我在这段代码中陷入无限循环吗？我猜二分搜索循环不能正常工作，但我真的不知道为什么。这是代码：

balance = 5000
annualInterestRate = 0.18
low = balance/12
high = (balance * (1 + annualInterestRate / 12) ** 12) / 12
guess = (low + high)/2

def getBal(guess, balance, annualInterestRate):
    mon = 0
    while mon < 12:
        mon += 1
        ub = balance - guess
        balance = ub + (annualInterestRate/12) * ub
    return balance

z = getBal(guess, balance, annualInterestRate)

while abs(round(z, 2)) > 0:
    if round(z, 2) > 0:
        low = guess
    else:
        high= guess
    guess = (high+low)/2

print "Lowest Payment: " + str(round(guess,2)) 

Answer 1

问题在于第二个循环。你可以尝试这样做：

balance = 5000
annual_interest_rate = 0.18
low = balance/12
high = (balance * (1 + annual_interest_rate / 12) ** 12) / 12
guess = (low + high)/2


def get_bal(g, b, air):
    mon = 0
    while mon < 12:
        mon += 1
        ub = b - g
        b = ub + (air/12) * ub
    return b

while True:
    z = get_bal(guess, balance, annual_interest_rate)
    if abs(round(z, 2)) == 0:
        break
    if round(z, 2) > 0:
        low = guess
    else:
        high = guess
    guess = (high+low)/2

print "Lowest Payment: " + str(round(guess, 2))