test: migrate stats/base/dists/bradford/entropy to ULP-based assertions

[Planeshifter]

Resolves a part of #11352.

Description

What is the purpose of this pull request?

This pull request:

• migrates the test suite for stats/base/dists/bradford/entropy from relative-tolerance assertions (delta <= EPS * tol) to ULP-based assertions using @stdlib/assert/is-almost-same-value, per [RFC]: Migrate math/base/special packages from relative tolerance testing to ULP difference testing (tracking issue) #11352.
• in test/test.js and test/test.native.js, the two fixture-driven test cases ("given small parameter c" and "given large parameter c") were converted. The minimum ULP bound that passes deterministically (verified over two consecutive runs) was found for each:
  • small c fixtures: 1984 ULP (the pre-existing tolerance of 1523 * EPS was already noted as high due to catastrophic cancellation in the nested ln calculations for small shape parameters combined with very small expected values; that explanatory comment was preserved).
  • large c fixtures: 64 ULP.

Related Issues

Does this pull request have any related issues?

This pull request has the following related issues:

• [RFC]: Migrate math/base/special packages from relative tolerance testing to ULP difference testing (tracking issue) #11352

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.

Only the two test files were changed; no source, docs, or package.json changes were needed since @stdlib/assert/is-almost-same-value is an existing internal package.

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

If you answered "yes" above, how did you use AI assistance?

• Code generation (e.g., when writing an implementation or fixing a bug)
• Test/benchmark generation
• Documentation (including examples)
• Research and understanding

Disclosure

If you answered "yes" to using AI assistance, please provide a short disclosure indicating how you used AI assistance. This helps reviewers determine how much scrutiny to apply when reviewing your contribution. Example disclosures: "This PR was written primarily by Claude Code." or "I consulted ChatGPT to understand the codebase, but the proposed changes were fully authored manually by myself.".

This PR was written primarily by Claude Code, which searched for a candidate package, studied prior art from previously merged ULP-migration PRs, converted the test fixtures, and empirically determined the tightest passing ULP bounds.

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@stdlib-js/reviewers

🤖 Generated with Claude Code

https://claude.ai/code/session_01DUn4JesAzgzP9FLBC6TTyv

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Generated by Claude Code

[stdlib-bot]

Hello! 👋

We've noticed that you've been opening a number of PRs addressing good first issues. Thank you for your interest and enthusiasm!

Now that you've made a few contributions, we suggest no longer working on good first issues. Instead, we encourage you to prioritize cleaning up any PRs which have yet to be merged and then proceed to work on more involved tasks.

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[stdlib-bot]

Coverage Report

Package	Statements	Branches	Functions	Lines
stats/base/dists/bradford/entropy	$\\color{green}172/172$ $\\color{green}+100.00\\%$	$\\color{green}8/8$ $\\color{green}+100.00\\%$	$\\color{green}2/2$ $\\color{green}+100.00\\%$	$\\color{green}172/172$ $\\color{green}+100.00\\%$

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