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Add complex number support to exp #451

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Merged
merged 8 commits into from
Jul 7, 2022
Merged

Add complex number support to exp #451

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b23b0fc
Update ignore file
kgryte Jun 13, 2022
ba07d69
Add complex number support to `exp`
kgryte Jun 13, 2022
bffddb2
Update input and output data types
kgryte Jun 13, 2022
d10b63b
Update description to accommodate complex number input
kgryte Jun 13, 2022
f84e176
Add note concerning complex conjugation
kgryte Jun 13, 2022
cb2c8df
Specify special case in terms of `cis` function
kgryte Jun 13, 2022
2b5028c
Fix special cases and move note
kgryte Jun 20, 2022
9908911
Fix `cis` argument
kgryte Jun 20, 2022
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Fix cis argument
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@kgryte
kgryte committed Jun 20, 2022
commit 99089113d2b982d46d39070f4da788091a53c2db
6 changes: 3 additions & 3 deletions spec/API_specification/array_api/elementwise_functions.py
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Expand Up @@ -536,12 +536,12 @@ def exp(x: array, /) -> array:
.. note::
For complex floating-point operands, ``exp(conj(x))`` must equal ``conj(exp(x))``.

- If ``a`` is either ``+0`` or ``-0`` and ``b`` is ``+0``, the result is ``1+0j``.
- If ``a`` is either ``+0`` or ``-0`` and ``b`` is ``+0``, the result is ``1 + 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``.
- If ``a`` is ``+infinity`` and ``b`` is ``+0``, the result is ``infinity + 0j``.
- If ``a`` is ``-infinity`` and ``b`` is a finite number, the result is ``+0 * cis(x_i)``.
- If ``a`` is ``+infinity`` and ``b`` is a nonzero finite number, the result is ``+infinity * cis(x_i)``.
- If ``a`` is ``-infinity`` and ``b`` is a finite number, the result is ``+0 * cis(b)``.
- If ``a`` is ``+infinity`` and ``b`` is a nonzero finite number, the result is ``+infinity * cis(b)``.
- If ``a`` is ``-infinity`` and ``b`` is ``+infinity``, the result is ``0 + 0j`` (signs of real and imaginary components are unspecified).
- If ``a`` is ``+infinity`` and ``b`` is ``+infinity``, the result is ``infinity + NaN j`` (sign of real component is unspecified).
- If ``a`` is ``-infinity`` and ``b`` is ``NaN``, the result is ``0 + 0j`` (signs of real and imaginary components are unspecified).
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