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Add guidance for when rounding special floating-point values #312

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Merged
merged 2 commits into from
Nov 8, 2021
Merged

Add guidance for when rounding special floating-point values #312

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3f2cc0a
Add guidance for when rounding special floating-point values
kgryte Nov 4, 2021
9c6e867
Update cases
kgryte Nov 4, 2021
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32 changes: 32 additions & 0 deletions spec/API_specification/elementwise_functions.md
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Expand Up @@ -449,6 +449,14 @@ Rounds each element `x_i` of the input array `x` to the smallest (i.e., closest

- If `x_i` is already integer-valued, the result is `x_i`.

For floating-point operands,

- If `x_i` is `+infinity`, the result is `+infinity`.
- If `x_i` is `-infinity`, the result is `-infinity`.
- If `x_i` is `+0`, the result is `+0`.
- If `x_i` is `-0`, the result is `-0`.
- If `x_i` is `NaN`, the result is `NaN`.

#### Parameters

- **x**: _<array>_
Expand Down Expand Up @@ -651,6 +659,14 @@ Rounds each element `x_i` of the input array `x` to the greatest (i.e., closest

- If `x_i` is already integer-valued, the result is `x_i`.

For floating-point operands,

- If `x_i` is `+infinity`, the result is `+infinity`.
- If `x_i` is `-infinity`, the result is `-infinity`.
- If `x_i` is `+0`, the result is `+0`.
- If `x_i` is `-0`, the result is `-0`.
- If `x_i` is `NaN`, the result is `NaN`.

#### Parameters

- **x**: _<array>_
Expand Down Expand Up @@ -1237,6 +1253,14 @@ Rounds each element `x_i` of the input array `x` to the nearest integer-valued n
#### Special Cases

- If `x_i` is already integer-valued, the result is `x_i`.

For floating-point operands,

- If `x_i` is `+infinity`, the result is `+infinity`.
- If `x_i` is `-infinity`, the result is `-infinity`.
- If `x_i` is `+0`, the result is `+0`.
- If `x_i` is `-0`, the result is `-0`.
- If `x_i` is `NaN`, the result is `NaN`.
- If two integers are equally close to `x_i`, the result is the even integer closest to `x_i`.

#### Parameters
Expand Down Expand Up @@ -1454,6 +1478,14 @@ Rounds each element `x_i` of the input array `x` to the integer-valued number th

- If `x_i` is already integer-valued, the result is `x_i`.

For floating-point operands,

- If `x_i` is `+infinity`, the result is `+infinity`.
- If `x_i` is `-infinity`, the result is `-infinity`.
- If `x_i` is `+0`, the result is `+0`.
- If `x_i` is `-0`, the result is `-0`.
- If `x_i` is `NaN`, the result is `NaN`.

#### Parameters

- **x**: _<array>_
Expand Down