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Returns an element-wise indication of the sign of a number.
The sign function returns -1 if x < 0, 0 if x==0, 1 if x > 0. nan
is returned for nan inputs.
For complex inputs, the sign function returns x / abs(x), the
generalization of the above (and 0 if x==0).
Changed in version 2.0.0: Definition of complex sign changed to follow the Array API standard.
Input values.
A location into which the result is stored. If provided, it must have a shape that the inputs broadcast to. If not provided or None, a freshly-allocated array is returned. A tuple (possible only as a keyword argument) must have length equal to the number of outputs.
This condition is broadcast over the input. At locations where the
condition is True, the out array will be set to the ufunc result.
Elsewhere, the out array will retain its original value.
Note that if an uninitialized out array is created via the default
out=None, locations within it where the condition is False will
remain uninitialized.
For other keyword-only arguments, see the ufunc docs.
The sign of x. This is a scalar if x is a scalar.
Notes
There is more than one definition of sign in common use for complex
numbers. The definition used here, \(x/|x|\), is the more common
and useful one, but is different from the one used in numpy prior to
version 2.0, \(x/\sqrt{x*x}\), which is equivalent to
sign(x.real) + 0j if x.real != 0 else sign(x.imag) + 0j.
Examples
>>> import numpy as np
>>> np.sign([-5., 4.5])
array([-1., 1.])
>>> np.sign(0)
0
>>> np.sign([3-4j, 8j])
array([0.6-0.8j, 0. +1.j ])
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