Python - 如何检查列表单调性

问题描述

检查列表单调性的高效和pythonic方法是什么?
即它具有单调递增或递减的值?

What would be an efficient and pythonic way to check list monotonicity?
i.e. that it has monotonically increasing or decreasing values?

示例:

[0, 1, 2, 3, 3, 4]   # This is a monotonically increasing list
[4.3, 4.2, 4.2, -2]  # This is a monotonically decreasing list
[2, 3, 1]            # This is neither

推荐答案

最好避免使用诸如增加"或减少"之类的模棱两可的术语，因为不清楚是否可以接受相等.例如，您应该始终使用非递增"(显然接受相等)或严格递减"(显然不接受相等).

It's better to avoid ambiguous terms like "increasing" or "decreasing" as it's not clear if equality is acceptable or not. You should always use either for example "non-increasing" (clearly equality is accepted) or "strictly decreasing" (clearly equality is NOT accepted).

def strictly_increasing(L):
    return all(x<y for x, y in zip(L, L[1:]))

def strictly_decreasing(L):
    return all(x>y for x, y in zip(L, L[1:]))

def non_increasing(L):
    return all(x>=y for x, y in zip(L, L[1:]))

def non_decreasing(L):
    return all(x<=y for x, y in zip(L, L[1:]))

def monotonic(L):
    return non_increasing(L) or non_decreasing(L)

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