test: migrate stats/base/dists/pareto-type1/median to ULP-based assertions

[kgryte]

Description

What is the purpose of this pull request?

This pull request:

• migrates @stdlib/stats/base/dists/pareto-type1/median tests from relative tolerance (EPS/delta/tol) comparisons 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.

Converted files:

• test/test.js

The package has no test/test.native.js (no C implementation is currently present in develop), so test/test.js is the only test file in the package.

ULP bounds

The single fixture loop (fixtures/julia/data.json, 1000 cases) uses:

t.strictEqual( isAlmostSameValue( y, expected[ i ], 0 ), true, 'returns expected value' );

File	Previous tolerance	ULP constant	Measured minimum
test.js	1.0 * EPS * abs( expected[i] )	0	0

The bound was determined empirically. Starting from 64, the constant was lowered until the suite no longer passed; it passed at every step down to and including 0. Independently, the ULP distance was computed via @stdlib/number/float64/base/ulp-difference for all 1000 fixture cases, and the maximum observed distance was 0 — i.e., every returned value is bit-identical to the Julia reference value, so 0 is the tightest possible bound. The suite was run twice at the final value to confirm determinism (1014/1014 assertions passing on both runs).

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

Resolves a part of #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 test files are modified; no source, docs, or benchmark changes.
• Linting was verified with make lint-javascript-tests TESTS_FILTER=".*/stats/base/dists/pareto-type1/median/.*" (clean).
• The editorconfig-checker pre-commit step could not download its binary in this environment; EditorConfig compliance (LF line endings, tab indentation, no trailing whitespace, final newline) was verified manually instead.

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.

This PR was written primarily by Claude Code, which studied the prior ULP migrations in this family (e.g. stats/base/dists/pareto-type1/quantile, stats/base/dists/pareto-type1/kurtosis, stats/base/dists/signrank/quantile), applied the same idiom, and measured the minimum ULP bound over the full fixture set.

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@stdlib-js/reviewers

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Generated by Claude Code

[stdlib-bot]

Coverage Report

Package	Statements	Branches	Functions	Lines
stats/base/dists/pareto-type1/median	$\\color{green}125/125$ $\\color{green}+100.00\\%$	$\\color{green}8/8$ $\\color{green}+100.00\\%$	$\\color{green}1/1$ $\\color{green}+100.00\\%$	$\\color{green}125/125$ $\\color{green}+100.00\\%$

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