[RFC]: Add C implementation for `@stdlib/stats/base/dists/negative-binomial/cdf`

### Description

This RFC proposes adding a C implementation, including a Node.js native addon, C benchmarks, and C examples, for the [`@stdlib/stats/base/dists/negative-binomial/cdf`](https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/cdf) package.

When adding support, the following tasks should be completed:

1. A C source implementation should be added to a `src` folder within the package's directory.
2. A native add-on interface should be added in order to call the C implementation from JavaScript.
3. A JavaScript file should be added to the `lib` folder to allow benchmarking and unit testing the native implementation from JavaScript.
4. A new test file should be created which includes unit tests testing against expected behavior.
5. C benchmarks should be added which measure performance for the C source implementation.
6. A file containing C examples should be added to demonstrate example usage.
7. JavaScript benchmarks should be added which measure performance for the native add-on.
8. Build and configuration files should be added to allow compiling and running the C source implementation using project `make` commands (as documented below).
9. The README should be updated to include documentation for the added C API.

To provide a concrete example of what a PR adding the desired method should contain, see https://github.com/stdlib-js/stdlib/pull/3354, which is a PR adding a C implementation for the CDF of an arcsine distribution. This should provide an idea of what is expected.

#### Prerequisites

1. Review JavaScript implementation in `lib/main.js` and its required modules to identify all `stdlib` functions used.
2. Verify C implementations exist for each required function.

### Related Issues

#3355

### Questions

No.

### Other

Once the implementation is ready including C examples and benchmarks, we should be able to run the following `make` commands.

#### Build native add-on

```bash
NODE_ADDONS_PATTERN="@stdlib/stats/base/dists/negative-binomial/cdf" make install-node-addons
```

#### Run C examples

```bash
make examples-c-files FILES="$(pwd)/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/cdf/examples/c/example.c"
```

#### Run C benchmarks

```bash
make benchmark-c-files FILES="$(pwd)/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/cdf/benchmark/c/benchmark.c"
```

#### Run JavaScript benchmarks

```bash
make benchmark-javascript-files FILES="$(pwd)/lib/node_modules/@stdlib/stats/base/dists/negative-binomial/cdf/benchmark/benchmark.native.js"
```

#### Run all tests

```bash
make TESTS_FILTER=".*/@stdlib/stats/base/dists/negative-binomial/cdf/.*" test
```

### Notes

- If you are interested in contributing a PR which addresses this RFC and are a **first-time contributor** or not yet familiar with our project conventions, please minimize the submission of LLM-generated code. Please consult our [contributing guidelines](https://github.com/stdlib-js/stdlib/blob/develop/CONTRIBUTING.md) and the associated [development guide](https://github.com/stdlib-js/stdlib/blob/develop/docs/development.md). Failure to respect project conventions will result in your PR being rejected without review. Thank you for understanding!

### Checklist

- [x] I have read and understood the [Code of Conduct](https://github.com/stdlib-js/stdlib/blob/develop/CODE_OF_CONDUCT.md).
- [x] Searched for existing issues and pull requests.
- [x] The issue name begins with `RFC:`.

Start with lib/main.js in the negative-binomial/cdf package and review the required stdlib functions, then compare the expected structure with PR 3354. Check that C implementations exist for each dependency before working through the requested src, addon, lib, test, benchmark, example, build, and README files. Done means the listed make commands run successfully and the new tests cover expected behavior.

由索引模型根据 Issue 内容生成。