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  • 大小: 2KB
    文件類型: .py
    金幣: 1
    下載: 0 次
    發布日期: 2021-06-14
  • 語言: Python
  • 標簽: 盛金法??

資源簡介

使用python編寫一元三次方求根函數,原理采用盛金求根法。形如#a*x**3 +b*x**2 + c*x +d = 0的式子,調用的時候shengjinSolution函數中a,b,c,d給定正確的值即可算出來。

資源截圖

代碼片段和文件信息

import?math



def?caluCube(x):
????if?x?>?0:
????????return?math.pow(x?float(1)/3)
????elif?x?????????return?-math.pow(abs(x)?float(1)/3)
????else:
????????return?0

????????
def?getMiddenValue(a?b?c):
????if?a?>?b:
????????if?b?????????????return?b
????????elif?a?>?c:
????????????return?c
????????else:
????????????return?a
????else:
????????if?a?>?c:
????????????return?a
????????elif?b?>?c:
????????????return?c
????????else:
????????????return?b
#a*x**3?+b*x**2?+?c*x?+d?=?0
def?shengjinSolution(a?b?c?d):
????#print(“a=“?a?“b=“?b?“c=“?c?“d=“?d)
????A?=?b**2?-?3*a*c
????B?=?b*c?-?9*a*d
????C?=?c**2?-?3*b*d
????
????deltaJudge?=?B**2?-?4*A*C
????
????x1?=?x2?=?x3?=?0
????
????if?A?==?B?==?0:
????????print(“sheng?1“)
????????x1?=?-b/3*a
????????x2?=?-c/b
????????x3?=?-3*d/c
????elif?deltaJudge?>?0:
????????print(“sheng?2“)
????????Y1?=?A*b?+?3*a*(-B+math.sqrt(deltaJudge))/2
????????Y2?=?A*b?+?3*a*(-B-math.sqrt(deltaJudge))/2
????????cubeY1?=?caluCube(Y1)
????????cubeY2?=?caluCube(Y2)
????????x1?=?(-b?-?(cubeY1+cubeY2))/(3*a)
????????x2?=?complex((-b?+?1/2*(cubeY1+cubeY2))/(3*a)?math.sqrt(3)*(cubeY1-cubeY2)/(6*a))
????????x3?=?complex((-b?+?1/2*(cubeY1+cubeY2))/(3*a)?-math.sqrt(3)

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