Make protected documentation more explicit about differences (#13849)

[DOC] Make protected documentation more explicit about differences

Protected is a common source of confusion for devs
coming from different languages to Ruby. This
commit makes the documentation more explicit about
the differences, so that the use case for
protected is clearer.

vm_method.c

@@ -2606,21 +2606,53 @@ rb_mod_public(int argc, VALUE *argv, VALUE module)
  *     protected(method_name, method_name, ...) -> array
  *     protected(array)                         -> array
  *
- *  With no arguments, sets the default visibility for subsequently
- *  defined methods to protected. With arguments, sets the named methods
- *  to have protected visibility.
- *  String arguments are converted to symbols.
- *  An Array of Symbols and/or Strings is also accepted.
- *  If a single argument is passed, it is returned.
- *  If no argument is passed, nil is returned.
- *  If multiple arguments are passed, the arguments are returned as an array.
+ *  Sets the visibility of a section or of a list of method names as protected.
+ *  Accepts no arguments, a splat of method names (symbols or strings) or an
+ *  array of method names. Returns the arguments that it received.
  *
- *  If a method has protected visibility, it is callable only where
- *  <code>self</code> of the context is the same as the method.
- *  (method definition or instance_eval). This behavior is different from
- *  Java's protected method. Usually <code>private</code> should be used.
+ *  == Important difference between protected in other languages
  *
- *  Note that a protected method is slow because it can't use inline cache.
+ *  Protected methods in Ruby are different from other languages such as Java,
+ *  where methods are marked as protected to give access to subclasses. In Ruby,
+ *  subclasses <b>already have access to all methods defined in the parent
+ *  class</b>, even private ones.
+ *
+ *  Marking a method as protected allows <b>different objects of the same
+ *  class</b> to call it.
+ *
+ *  One use case is for comparison methods, such as <code>==</code>, if we want
+ *  to expose a method for comparison between objects of the same class without
+ *  making the method public to objects of other classes.
+ *
+ *  == Performance considerations
+ *
+ *  Protected methods are slower than others because they can't use inline
+ *  cache.
+ *
+ *  == Example
+ *
+ *    class Account
+ *      # Mark balance as protected, so that we can compare between accounts
+ *      # without making it public.
+ *      attr_reader :balance
+ *      protected :balance
+ *
+ *      def initialize(balance)
+ *        @balance = balance
+ *      end
+ *
+ *      def >(other)
+ *        # The invocation to `other.balance` is allowed because `other` is a
+ *        # different object of the same class (Account).
+ *        balance > other.balance
+ *      end
+ *    end
+ *
+ *    account1 = Account.new(100)
+ *    account2 = Account.new(50)
+ *
+ *    account1 > account2  # => true (works)
+ *    account1.balance     # => NoMethodError (fails because balance is not public)
  *
  *  To show a private method on RDoc, use <code>:doc:</code> instead of this.
  */
@@ -3196,4 +3228,3 @@ Init_eval_method(void)
         REPLICATE_METHOD(rb_eException, idRespond_to_missing);
     }
 }
-