feat: add constants/float16/sqrt-two

[opbot-xd]

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type: pre_commit_static_analysis_report
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• task: lint_filenames status: passed
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• task: lint_repl_help status: passed
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• task: lint_typescript_declarations status: passed
• task: lint_typescript_tests status: passed
• task: lint_license_headers status: passed

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Description

What is the purpose of this pull request?

This pull request:

• Adds the @stdlib/constants/float16/sqrt-two package, which provides the half-precision (float16) approximation of the square root of 2 (√2 ≈ 1.4140625).
• Includes complete implementation with documentation, unit tests, examples, TypeScript declarations, and REPL help text.
• Follows all stdlib package conventions and style guidelines.

Related Issues

Does this pull request have any related issues?

This pull request addresses the need for additional float16 mathematical constants in stdlib, complementing the existing float64 sqrt-two constant.

Questions

Any questions for reviewers of this pull request?

No.

Other

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

Implementation Notes:

• The float16 value 1.4140625 was calculated as the half-precision representation of √2 ≈ 1.4142135623730951
• All tests pass with 100% coverage
• Package structure mirrors existing float16 constants (e.g., @stdlib/constants/float16/e)

Test Results:

Checklist

Please ensure the following tasks are completed before submitting this pull request.

• Read, understood, and followed the contributing guidelines.

AI Assistance

When authoring the changes proposed in this PR, did you use any kind of AI assistance?

• Yes
• No

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@stdlib-js/reviewers

[stdlib-bot]

Coverage Report

Package	Statements	Branches	Functions	Lines
constants/float16/sqrt-two	$\color{green}51/51$ $\color{green}+100.00%$	$\color{green}1/1$ $\color{green}+100.00%$	$\color{green}0/0$ $\color{green}+100.00%$	$\color{green}51/51$ $\color{green}+100.00%$

The above coverage report was generated for the changes in this PR.

[Planeshifter]

LGTM!

[stdlib-bot]

PR Commit Message

feat: add `constants/float16/sqrt-two`

PR-URL: https://github.com/stdlib-js/stdlib/pull/9021

Reviewed-by: Philipp Burckhardt <pburckhardt@outlook.com>

Please review the above commit message and make any necessary adjustments.