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This commit is contained in:
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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