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使用二分法(Bisection Method)求平方根。

程序员文章站 2022-03-04 15:23:52
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使用二分法(Bisection Method)求平方根。
def sqrtBI(x, epsilon):
    assert x>0, 'X must be non-nagtive, not ' + str(x)
    assert epsilon > 0, 'epsilon must be postive, not ' + str(epsilon)
  
    low = 0
    high = x
    guess = (low + high)/2.0
    counter = 1
    while (abs(guess ** 2 - x) > epsilon) and (counter 

验证一下。

>>> sqrtBI(2,0.000001)

>>> 1.41421365738

上面的方法,如果 X

>>> sqrtBI(0.25,0.000001)

>>> 0.25

那如何求0.25的平方根呢?

只要略微改动上面的代码即可。注意6行和7行的代码。

def sqrtBI(x, epsilon):
    assert x>0, 'X must be non-nagtive, not ' + str(x)
    assert epsilon > 0, 'epsilon must be postive, not ' + str(epsilon)
  
    low = 0
    high = max(x, 1.0)
    ## high = x
    guess = (low + high)/2.0
    counter = 1
    while (abs(guess ** 2 - x) > epsilon) and (counter 

验证一下:

>>> sqrtBI(0.25,0.000001)

>>> 0.5

相关标签: Bisection Method