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-rw-r--r--numpy/core/code_generators/ufunc_docstrings.py16
1 files changed, 15 insertions, 1 deletions
diff --git a/numpy/core/code_generators/ufunc_docstrings.py b/numpy/core/code_generators/ufunc_docstrings.py
index bfa3ad221..34ac59984 100644
--- a/numpy/core/code_generators/ufunc_docstrings.py
+++ b/numpy/core/code_generators/ufunc_docstrings.py
@@ -2799,7 +2799,13 @@ add_newdoc('numpy.core.umath', 'sign',
"""
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``.
+ 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
+ ``sign(x.real) + 0j if x.real != 0 else sign(x.imag) + 0j``.
+
+ complex(nan, 0) is returned for complex nan inputs.
Parameters
----------
@@ -2811,12 +2817,20 @@ add_newdoc('numpy.core.umath', 'sign',
y : ndarray
The sign of `x`.
+ Notes
+ -----
+ There is more than one definition of sign in common use for complex
+ numbers. The definition used here is equivalent to :math:`x/\\sqrt{x*x}`
+ which is different from a common alternative, :math:`x/|x|`.
+
Examples
--------
>>> np.sign([-5., 4.5])
array([-1., 1.])
>>> np.sign(0)
0
+ >>> np.sign(5-2j)
+ (1+0j)
""")