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This commit is contained in:
6
120-3.py
6
120-3.py
@@ -1,4 +1,4 @@
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#把范围与原函数换成题干的############
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x1, x2 = 3, 6
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def fx(x):
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@@ -25,8 +25,8 @@ def CompositeNewtonCotes(n, type):
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if __name__ == "__main__":
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# 复合梯形公式,点数为n+1
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print("复合梯形公式\n", CompositeNewtonCotes(8, 1)) #8等分,1代表是梯形公式
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print("复合梯形公式\n", CompositeNewtonCotes(8, 1)) #8等分,1代表是梯形公式####################
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# 复合辛普生公式,点数为2n+1
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print("复合辛普生公式\n", CompositeNewtonCotes(4, 2)) #4等分,2代表是辛普生公式
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print("复合辛普生公式\n", CompositeNewtonCotes(4, 2)) #4等分,2代表是辛普生公式###############
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7
120-4.py
7
120-4.py
@@ -1,23 +1,28 @@
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#把函数改成题干的####################
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def fx(x):
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return 1/x
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# 逐次分半梯形递推公式
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def SplitTrapezoidal(a,b,err):
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count = 1
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t1 = (b-a)*(fx(a)+fx(b))/2
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print(f"t{count}={t1}")
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k = 1
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while True:
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tmp = 0
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for i in range(1, 2**(k-1)+1):
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tmp += fx(a + (b-a)*(2*i-1)/(2**k))
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t2 = t1/2+(b-a)*tmp/(2**k)
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count *= 2
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print(f"t{count}={t2}")
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if abs(t2-t1) < err:
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break
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t1 = t2
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k += 1
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return t2,k
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#把范围ab换成题干的范围,err换成题干的精度要求############
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if __name__ == "__main__":
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a = 1
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b = 3
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