我有一个名单A=[a,b,c,d]
。我需要根据B
中每个项目之间的操作来计算一个新的列表A
。
B= [a, b-(a), c-(a+(b-a)), d-(a+(b-a)+(c-(a+(b-a)))) ]
有什么毕达通的方法吗?列表A并不总是一个4项列表,因此该解决方案需要可用于任意长度的列表。提前谢谢。
发布于 2022-03-23 01:36:23
请注意,列表的表达式可以简化为:
B = [a, b-a, c-b, d-c]
考虑到这一点,我们可以使用列表理解:
[y - x for x, y in zip([0] + data, data)]
例如,
data = [1, 2, 7, 6]
result = [y - x for x, y in zip([0] + data, data)]
print(result)
产出:
[1, 1, 5, -1]
发布于 2022-03-23 02:00:16
所有的术语都抵消掉(c-(a+(b-a))
将c - b
简化为d - c
,d-(a+(b-a)+(c-(a+(b-a))))
简化为d - c
),因此这里的真正算法是,每个项等于匹配项减去前一个项。这极大地简化了事情:
B = [A[0]] # Initial term has no prior to subtract from it
B += [x - y for x, y in zip(A[1:], A)] # All other terms computed by subtracting term n - 1 from term n
如果您想要一行(忽略导入),您可以插入一个虚拟0
来获得第一个元素的结果,而不需要显式地将其大小写:
from itertools import chain # At top of file
B = [x - y for x, y in zip(A, chain([0], A))]
如果您喜欢使用map
和朋友进行微优化,则可以将后者替换为:
from operator import sub # At top of file
B = [*map(sub, A, chain([0], A))]
并将所有工作推送到C层(不执行每个元素的字节码)。
发布于 2022-03-23 21:26:25
有两种解决方案不认为“抵消”(因为对于float
和Counter
这样的标准类型来说,这已经是错误的了,如下所示)。
如果我正确理解模式,第一个B值应该是第一个A值,然后每个下一个B值都应该是下一个A值减去所有以前B值的总和。这样做的一个方法是:
B = []
for a in A:
if not B:
b = sumB = a
else:
b = a - sumB
sumB = sumB + b
B.append(b)
使用itertools.accumulate
和operator.sub
的乐趣
B = A[:1]
B += map(sub, A[1:], accumulate(B))
测试:
A = [31, 41, 59, 26]
reference [31, 10, 18, -33]
subtract_neighbors correct [31, 10, 18, -33]
loop correct [31, 10, 18, -33]
fun correct [31, 10, 18, -33]
A = [1, 1, 1e-20, 1e-20]
reference [1, 0, -1.0, 1e-20]
subtract_neighbors wrong [1, 0, -1.0, 0.0]
loop correct [1, 0, -1.0, 1e-20]
fun correct [1, 0, -1.0, 1e-20]
A = [Counter(), Counter({None: 1}), Counter(), Counter({None: 1})]
reference [Counter(), Counter({None: 1}), Counter(), Counter()]
subtract_neighbors wrong [Counter(), Counter({None: 1}), Counter(), Counter({None: 1})]
loop correct [Counter(), Counter({None: 1}), Counter(), Counter()]
fun correct [Counter(), Counter({None: 1}), Counter(), Counter()]
执行上述检查的代码(在网上试试!):
def reference(A):
a, b, c, d = A
return [a, b-(a), c-(a+(b-a)), d-(a+(b-a)+(c-(a+(b-a)))) ]
def subtract_neighbors(A):
a, b, c, d = A
return [a, b-a, c-b, d-c]
def loop(A):
B = []
for a in A:
if not B:
b = sumB = a
else:
b = a - sumB
sumB = sumB + b
B.append(b)
return B
def fun(A):
B = A[:1]
B += map(sub, A[1:], accumulate(B))
return B
from collections import Counter
from itertools import accumulate
from operator import sub
funcs = [
reference,
subtract_neighbors,
loop,
fun,
]
tests = [
[31, 41, 59,26],
[1, 1, 1e-20, 1e-20],
[Counter(), Counter([None])] * 2,
]
for A in tests:
print(' A =', A)
for func in funcs:
result = func(A)
if func is reference:
expect = result
correctness = ' '
else:
correctness = 'correct' if result == expect else 'wrong '
print(f'{func.__name__:19}', correctness, result)
print()
https://stackoverflow.com/questions/71580659
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