test: migrate stats/base/dists/bernoulli/mgf to ULP-based testing

[DivyanshuVortex]

Resolves a part of #11352.

Description

What is the purpose of this pull request?

This pull request:

• migrates the tests for stats/base/dists/bernoulli/mgf from relative tolerance testing to ULP difference testing, per [RFC]: Migrate math/base/special packages from relative tolerance testing to ULP difference testing (tracking issue) #11352.
• replaces the legacy y === expected[i] / delta <= tol branch in the fixture loops of test/test.factory.js and test/test.native.js with t.strictEqual( isAlmostSameValue( y, expected[ i ], N ), true, 'returns expected value' );.
• adds the @stdlib/assert/is-almost-same-value require and drops any unused abs and EPS requires.

(Note: test.mgf.js and test.js did not use the legacy relative tolerance testing pattern, and thus were not modified.)

Final ULP constants:

• test.factory.js: 0 ULP
• test.native.js: 0 ULP

These bounds were determined empirically using a script that calculated the maximum ULP difference across all x and p fixture combinations for both factory and native implementations. The empirically calculated max ULP was exactly 0, meaning the generated output matched the expected JSON fixtures identically without any precision drift.

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.

Test results via make test TESTS_FILTER=".*/stats/base/dists/bernoulli/mgf/.*" passed cleanly.

Checklist

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

• Read, understood, and followed the contributing guidelines.

AI Assistance

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• Yes
• No

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

Disclosure

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Coverage Report

Package	Statements	Branches	Functions	Lines
stats/base/dists/bernoulli/mgf	$\\color{green}269/269$ $\\color{green}+100.00\\%$	$\\color{green}19/19$ $\\color{green}+100.00\\%$	$\\color{green}4/4$ $\\color{green}+100.00\\%$	$\\color{green}269/269$ $\\color{green}+100.00\\%$

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