8000 Add complex number support to `expm1` by kgryte · Pull Request #452 · data-apis/array-api · GitHub
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Add complex number support to expm1 #452

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Merged
merged 8 commits into from
Nov 17, 2022
Merged

Add complex number support to expm1 #452

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ef0d567
Add complex number support to `expm1`
kgryte Jun 13, 2022
bd0d3a7
Update copy
kgryte Jun 13, 2022
3faba09
Add note concerning complex conjugation
kgryte Jun 13, 2022
2b6ca1b
Specify special cases in terms of `cis` function
kgryte Jun 13, 2022
66d0b62
Fix special cases and move note
kgryte Jun 20, 2022
f132a53
Merge branch 'main' of https://github.com/pydata-apis/array-api into …
kgryte Nov 17, 2022
2d87088
Move note
kgryte Nov 17, 2022
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kgryte Nov 17, 2022
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@kgryte
kgryte committed Nov 17, 2022
commit 2d87088e2897ec7aef281ba35ce3e61be9af1977
6 changes: 3 additions & 3 deletions spec/API_specification/array_api/elementwise_functions.py
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Expand Up @@ -659,9 +659,6 @@ def expm1(x: array, /) -> array:

For complex floating-point operands, let ``a = real(x_i)``, ``b = imag(x_i)``, and

.. note::
For complex floating-point operands, ``expm1(conj(x))`` must equal ``conj(expm1(x))``.

- If ``a`` is either ``+0`` or ``-0`` and ``b`` is ``+0``, the result is ``0 + 0j``.
- If ``a`` is a finite number and ``b`` is ``+infinity``, the result is ``NaN + NaN j``.
- If ``a`` is a finite number and ``b`` is ``NaN``, the result is ``NaN + NaN j``.
Expand All @@ -678,6 +675,9 @@ def expm1(x: array, /) -> array:

where ``cis(v)`` is ``cos(v) + sin(v)*1j``.

.. note::
For complex floating-point operands, ``expm1(conj(x))`` must equal ``conj(expm1(x))``.

.. note::
The exponential function is an entire function in the complex plane and has no branch cuts.

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