Python3:计算复杂的指数和对数 [英] Python3: Calculating complex exponents and logarithms

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问题描述

math.exp()不适用于复数:

>>> math.exp (math.pi*1j)
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
TypeError: can't convert complex to float

因为 ** 可以按预期工作:

>>> math.e ** (math.pi*1j)
(-1+1.2246467991473532e-16j)

现在问题出在对数上。 math.log 不适用于负数:

Now the problem is with logarithms. math.log doesn't work for negative numbers:

>>> math.log(-1)
Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
ValueError: math domain error

(预期结果:(0 + 3.141592653589793j)

如何在结果复杂的python中计算对数?
(最好不要自己实现)

How can I calculate a logarithm in python whose result is complex? (Preferably without implementing it myself)

推荐答案

数学文档明确指出它不支持复数。如果您想要使用python编写的库,则应该改用 cmath

The math documentation explicitly says that it does not support complex numbers. If you want a library in python that does, you should use cmath instead.

Cmath代表复杂数学。

Cmath stands for Complex Math.

cmath具有与数学大部分相同的接口,因此在您的示例中您可以执行以下操作:

cmath has most of the same interface as math, so for your example you could just do the following:

import cmath

cmath.log(-1)

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