test: migrate stats/base/dists/rayleigh/logpdf to ULP-based assertions

[Planeshifter]

Description

What is the purpose of this pull request?

This pull request:

• migrates the tests in @stdlib/stats/base/dists/rayleigh/logpdf (test/test.logpdf.js) from computed EPS-based tolerances to ULP-based assertions via @stdlib/assert/is-almost-same-value, with the ULP count passed inline as an integer literal.
• removes the now-unused abs and EPS requires and delta/tol variables.

Final inline ULP values (each tightened to the measured minimum that passes over the full fixture set; results were identical across two consecutive runs):

Test	Fixture	Old tolerance	ULP	Measured minimum
small scale parameter sigma	small_scale.json	15 * EPS * abs(expected)	24	24
medium scale parameter sigma	medium_scale.json	3 * EPS * abs(expected)	2	2
large scale parameter sigma	large_scale.json	3 * EPS * abs(expected)	2	2

test/test.js and test/test.native.js contain no tolerance logic and are unchanged.

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

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No.

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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Disclosure

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This PR was written primarily by Claude Code.

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Generated by Claude Code

[stdlib-bot]

Coverage Report

Package	Statements	Branches	Functions	Lines
stats/base/dists/rayleigh/logpdf	$\\color{green}297/297$ $\\color{green}+100.00\\%$	$\\color{green}29/29$ $\\color{green}+100.00\\%$	$\\color{green}4/4$ $\\color{green}+100.00\\%$	$\\color{green}297/297$ $\\color{green}+100.00\\%$

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