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test: migrate math/base/special/hacoversin to ULP-based testing#12807

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test: migrate math/base/special/hacoversin to ULP-based testing#12807
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Resolves a part of #11352.

Description

What is the purpose of this pull request?

This pull request:

  • migrates test/test.js and test/test.native.js in math/base/special/hacoversin from relative-tolerance (EPS-based) assertions to ULP-difference assertions via @stdlib/assert/is-almost-same-value, using the minimum required ULP values (verified by direct ULP-difference computation over the test fixtures).
  • for the JavaScript implementation, all six fixture blocks match the Julia reference values exactly (max ULP difference of 0), so plain t.strictEqual assertions are used and is-almost-same-value is not required in test/test.js.
  • for the native (C) implementation, results diverge from the Julia reference values in every block (minimum required ULP values of 2/4/8/2/4/4), so each native assertion uses isAlmostSameValue with the standard note regarding compiler-optimization-induced divergence (see feat: add C implementation for math/base/special/spence #2298 (comment)).
  • removes the now-unused EPS and abs requires, the delta/tol variables, and the obsolete exact-equality short-circuit branches.

Related Issues

Does this pull request have any related issues?

This pull request has the following related issues:

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.

All ULP values were verified to be minimal by independently recomputing the maximum ULP difference per fixture block (for both the JavaScript implementation and a locally compiled native add-on). The full test suite (make test) passes for both test/test.js and test/test.native.js with the native add-on loaded (not skipped).

Checklist

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

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 performed the test migration, computed the minimum ULP values from the test fixtures, and verified the results; the changes were independently re-verified by a second automated pass before submission.


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---
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---
@stdlib-bot stdlib-bot added Good First PR A pull request resolving a Good First Issue. Math Issue or pull request specific to math functionality. labels Jun 10, 2026
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Coverage Report

Package Statements Branches Functions Lines
math/base/special/hacoversin $\\color{green}164/164$
$\\color{green}+100.00\\%$
$\\color{green}5/5$
$\\color{green}+100.00\\%$
$\\color{green}2/2$
$\\color{green}+100.00\\%$
$\\color{green}164/164$
$\\color{green}+100.00\\%$

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

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