JSDoc : support @interface and @implements (and more)

I would like to re-open an issue: https://github.com/microsoft/TypeScript/issues/16142

As it is locked I am to open this new issue.

I personally do not like TypeScript as a language, I do however, like TypeScript as a tool for my JavaScript projects, hence why I would like more support for JSDoc.

Code

In a JavaScript file, with checkJs option :

/**
 * @interface Something
 */

/**
 * @function
 * @name Something#hello
 * @param {string} name
 */

/**
 * @implements {Something}
 */
const something = {};

Actual behavior:

No error.

Expected behavior:

An error should be raised. It's important in checkJs mode as JavaScript doesn't have native interfaces.

Start with the TypeScript checkJs path for the JavaScript example and inspect how the @interface, @implements, and @function JSDoc tags are currently interpreted. Reproduce the example, then define the diagnostics expected for the interface implementation and verify them with the relevant compiler tests; done means checkJs reports the missing interface contract.