test: migrate stats/incr/mhmean to ULP-based assertions

[Planeshifter]

Resolves a part of #11352.

Description

What is the purpose of this pull request?

This pull request:

• migrates stats/incr/mhmean's test suite from relative-tolerance (EPS * abs(...)) comparisons to ULP-difference assertions using @stdlib/assert/is-almost-same-value.
• removes the now-unused abs and EPS (@stdlib/constants/float64/eps) requires from test/test.js.
• tightens each converted assertion to the minimum ULP tolerance that still passes deterministically across repeated runs:
  • the moving harmonic mean fixture loop (6 values): 1 ULP.
  • the "no input value provided" single-value case: 2 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.

Ran test/test.js for this package directly and via make test TESTS_FILTER=".*/stats/incr/mhmean/.*" twice at the final ULP values to confirm deterministic results (41/41 passing both times). npx eslint is clean on the modified file. Only test/test.js was changed; no test.native.js exists for this package and no package.json changes were required.

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 authored by Claude Code, run as an unattended scheduled task on the repo maintainer's (Planeshifter's) own account. It selected this package by scanning the repo for the old relative-tolerance idiom, mirrored the conversion pattern from prior merged PRs for this issue (e.g. commits migrating stats/incr/mmda, stats/incr/nanpcorrdist, and stats/base/dists/uniform/variance), and determined the minimum ULP bounds empirically by running the test suite.

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@stdlib-js/reviewers

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🤖 Generated with Claude Code

https://claude.ai/code/session_012mhq6GePBcsMEYEDQh3R1Y

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[stdlib-bot]

Coverage Report

Package	Statements	Branches	Functions	Lines
stats/incr/mhmean	$\\color{green}165/165$ $\\color{green}+100.00\\%$	$\\color{green}9/9$ $\\color{green}+100.00\\%$	$\\color{green}2/2$ $\\color{green}+100.00\\%$	$\\color{green}165/165$ $\\color{green}+100.00\\%$

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