raise already sets the message so you don’t have to pass it to the constructor:
class MyCustomError < StandardError
attr_reader :object
def initialize(object)
@object = object
end
end
begin
raise MyCustomError.new("an object"), "a message"
rescue MyCustomError => e
puts e.message # => "a message"
puts e.object # => "an object"
end
I’ve replaced rescue Exception with rescue MyCustomError, see Why is it a bad style to `rescue Exception => e` in Ruby?.