feat: implement entropy for hypergeometric distribution

[24archit]

---

type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes. report:

• task: lint_filenames status: passed
• task: lint_editorconfig status: passed
• task: lint_markdown status: passed
• task: lint_package_json status: passed
• task: lint_repl_help status: passed
• task: lint_javascript_src status: passed
• task: lint_javascript_cli status: na
• task: lint_javascript_examples status: passed
• task: lint_javascript_tests status: passed
• task: lint_javascript_benchmarks status: passed
• task: lint_python status: na
• task: lint_r status: na
• task: lint_c_src status: missing_dependencies
• task: lint_c_examples status: missing_dependencies
• task: lint_c_benchmarks status: missing_dependencies
• task: lint_c_tests_fixtures status: na
• task: lint_shell status: na
• task: lint_typescript_declarations status: passed
• task: lint_typescript_tests status: passed
• task: lint_license_headers status: passed ---

Resolves #{{TODO: add issue number}}.

Description

What is the purpose of this pull request?

This pull request:

• Implements the entropy function for the Hypergeometric distribution.
• Adds TypeScript declarations (index.d.ts).
• Adds comprehensive documentation (README and REPL help) with mathematical formulas and usage examples.
• Adds unit tests and benchmarks for both JavaScript and C implementations.
• Adds C binding for the native implementation.

Related Issues

Does this pull request have any related issues?

This pull request has the following related issues:

• N,.A

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.

• 

• Local linting passed for JavaScript and Markdown files. Cppcheck was not run locally due to missing dependencies but the code compiles successfully.

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.".

• I used AI tools (Google Gemini) primarily for documentation support and research, including understanding the mathematical formula for hypergeometric entropy and verifying test cases and example outputs. All implementation code and final logic were written and reviewed manually by me.

---

@stdlib-js/reviewers

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[24archit]

👋 Hi there! 👋

And thank you for opening your first pull request! We will review it shortly. 🏃 💨

Getting Started

• Please read our contributing guidelines if you haven't already.
• For development guidance, refer to the development guide.

Next Steps

1. A project maintainer will approve GitHub Actions workflows for your PR.
2. All CI checks must pass before your submission can be fully reviewed.
3. You'll need to address any failures in linting or unit tests.

Running Tests Locally

You can use make to run any of the CI commands locally from the root directory of the stdlib repository:

# Run tests for all packages in the math namespace:
make test TESTS_FILTER=".*/@stdlib/math/.*"

# Run benchmarks for a specific package:
make benchmark BENCHMARKS_FILTER=".*/@stdlib/math/base/special/sin/.*"

If you haven't heard back from us within two weeks, please ping us by tagging the "reviewers" team in a comment on this PR.

If you have any further questions while waiting for a response, please join our Zulip community to chat with project maintainers and other community members.

We appreciate your contribution!

Documentation Links

• Contributing Guidelines
• Development Guide
• Zulip Chat
• make rules for running examples
• make rules for running unit tests
• make rules for running benchmarks