8000 Add complex number support to `log` by kgryte · Pull Request #514 · data-apis/array-api · GitHub
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Add complex number support to log #514

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Merged
merged 5 commits into from
Dec 13, 2022
Merged

Add complex number support to log #514

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83dc7ff
Add complex number support to `log`
kgryte Nov 21, 2022
be87641
Update accepted dtypes
kgryte Nov 21, 2022
062832d
Update note
kgryte Nov 21, 2022
ab4b414
Merge branch 'main' of https://github.com/pydata-apis/array-api into …
kgryte Nov 27, 2022
d0a8ec5
Fix equation
kgryte Dec 1, 2022
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Fix equation 
Co-authored-by: Aaron Meurer <asmeurer@gmail.com>
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@kgryte @asmeurer
kgryte and asmeurer authored Dec 1, 2022
commit d0a8ec501712ad7adfb270be60506b333668028c
2 changes: 1 addition & 1 deletion spec/API_specification/array_api/elementwise_functions.py
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Expand Up @@ -933,7 +933,7 @@ def log(x: array, /) -> array:
- If ``a`` is ``NaN`` and ``b`` is ``NaN``, the result is ``NaN + NaN j``.

.. note::
The natural logarithm of a complex number :math:`z` with polar coordinates :math:`(r,\theta)` equals :math:`\ln r + (θ+ 2n\pi)j` with principal value :math:`\ln r + \theta j`.
The natural logarithm of a complex number :math:`z` with polar coordinates :math:`(r,\theta)` equals :math:`\ln r + (\theta + 2n\pi)j` with principal value :math:`\ln r + \theta j`.

.. note::
For complex floating-point operands, ``log(conj(x))`` must equal ``conj(log(x))``.
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