stdlib-js / stdlib-js/stdlib

[RFC]: add support for computing the derivative of cardinal sine (cosc)

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difficulty: 1 Feature Good First Issue Help Wanted Math RFC
Dominant language
JavaScript
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Description

## Checklist

> Please ensure the following tasks are completed before submitting a feature request.

- [x] Read and understood the [Code of Conduct][code-of-conduct].
- [x] Searched for existing issues and pull requests.
- [x] The issue name begins with `RFC:`.

## Description

> Description of the feature request.

This RFC proposes adding support for computing the derivative of [cardinal sine](https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/sinc). Apart from special cases, the implementation is straightforward:

```javascript
return (cospi( x ) - (sinpi( x )/(PI*x)) / x;
```

Package: `@stdlib/math/base/special/cosc`
Alias: `base.cosc`

## Related Issues

> Does this feature request have any related issues?

No.

## Questions

> Any questions for reviewers?

No.

## Other

> Any other information relevant to this feature request? This may include screenshots, references, sample output, and/or implementation notes.

Reference implementations:

- [Julia](https://github.com/JuliaLang/julia/blob/dee7d77c199c4776cf4e06afb7ce920f09ad3c8c/base/special/trig.jl#L952)

[code-of-conduct]: https://github.com/stdlib-js/stdlib/blob/develop/CODE_OF_CONDUCT.md

Contributor guide

Open the contributing guide

Research direction

Start with the existing cardinal sine implementation under lib/node_modules/@stdlib/math/base/special/sinc and compare its conventions with the Julia reference implementation linked in the RFC. Add the @stdlib/math/base/special/cosc package and ensure it computes the derivative of cardinal sine, including the special cases mentioned by the issue.

Written by the indexing model from the issue text.

Assessment

Tech stack
javascript
Domain
backend
Issue type
Feature
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
35/100

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