lhye200/CalWay_Python
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lwj
2025-06-13 20:24:37 +08:00
parent 933cbe7316
commit a7bd2092a4
1 changed files with 7 additions and 6 deletions
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68-1.py
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@@ -1,17 +1,15 @@
import math import math
list_x = [10,11,12,13]
list_y = [2.3026,2.3979,2.4849,2.5649]
# 定义原函数和其导函数计算结果 # 定义原函数和其导函数计算结果
def FxDiff_n(x,n): def FxDiff_n(x,n):
result = 0 result = 0
if n == 0: if n == 0:
# 下面改成原函数 ####################3########################################
result = math.log(x) result = math.log(x)
else: else:
# 下面改成n阶导数 ##############################################################################
result = (-1)**(n+1) * math.factorial(n-1) / (x**n) result = (-1)**(n+1) * math.factorial(n-1) / (x**n)
return result return result
# 获取与待求x最接近的两个点 # 获取与待求x最接近的两个点
@@ -71,8 +69,11 @@ def LagrangeInterpolation(x,list_x,list_y):
result += temp * list_y[i] result += temp * list_y[i]
return result return result
list_x = [10,11,12,13] #改成题干的数值#############################
list_y = [2.3026,2.3979,2.4849,2.5649] #改成题干的数值#############################
if __name__ == "__main__": if __name__ == "__main__":
print("线性插值 ln11.75 结果为%f, 截断误差%f" % LinearInterpolation(11.75,list_x,list_y)) print("线性插值 ln11.75 结果为%f, 截断误差%f" % LinearInterpolation(11.75,list_x,list_y)) #改成题干的数值#############################
print("抛物线插值 ln11.75 结果为%f, 截断误差%f" % ParabolaInterpolation(11.75,list_x,list_y)) print("抛物线插值 ln11.75 结果为%f, 截断误差%f" % ParabolaInterpolation(11.75,list_x,list_y)) #改成题干的数值#############################
# print(LagrangeInterpolation(11.75,list_x,list_y)) # print(LagrangeInterpolation(11.75,list_x,list_y))