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macros - multiple arity in defmacro of clojure

I encountered a strange problem relating to defmacro in Clojure, I have code like

(defmacro ttt
  ([] (ttt 1))
  ([a] (ttt a 2))
  ([a b] (ttt a b 3))
  ([a b c] `(println ~a ~b ~c)))

and I run with (ttt), it suppose to become (println 1 2 3), and print "1 2 3", but what I got is

ArityException Wrong number of args (-1) passed to: t1$ttt clojure.lang.Compiler.macroexpand1 (Compiler.java:6473)

after some investigation, I understand I should write

(defmacro ttt
  ([] `(ttt 1))
  ([a] `(ttt ~a 2))
  ([a b] `(ttt ~a ~b 3))
  ([a b c] `(println ~a ~b ~c)))

but why the first version failed? and args is too strange to understand, where -1 comes from?

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Macros have two hidden arguments

Macros have two hidden arguments &form and &env that provide additional information about invocation and bindings that are the cause of the arity exception here. To refer to other arity versions within the same macro, use quasi-quote expansion.

(defmacro baz
  ([] `(baz 1))
  ([a] `(baz ~a 2))
  ([a b] `(baz ~a ~b 3))
  ([a b c] `(println ~a ~b ~c)))

user=> (macroexpand-1 '(baz))
(clojure.core/println 1 2 3)

user=> (baz)
1 2 3
nil

Arity exception messages subtract the hidden arguments from the count

The reason you get the (-1) arity exception is because the compiler subtracts these two hidden arguments when generating the error message for the general macro usage. The true message here for your first version of ttt would be "Wrong number of args (1)" because you supplied one argument a but the two additional hidden arguments were not provided by self-invocation.

Multi-arity macros not common in the wild

In practice, I suggest avoiding multi-arity macros altogether. Instead, consider a helper function to do most of the work on behalf of the macro. Indeed, this is often a good practice for other macros as well.

(defn- bar
  ([] (bar 1))
  ([a] (bar a 2))
  ([a b] (bar a b 3))
  ([a b c] `(println ~a ~b ~c)))


(defmacro foo [& args] (apply bar args))

user=> (macroexpand-1 '(foo))
(clojure.core/println 1 2 3)

user=> (foo)
1 2 3
nil

Macro expansion is recursive

Your second ttt version works as well due to the recursive nature of macro-expansion

user=> (macroexpand-1 '(ttt))
(user/ttt 1)
user=> (macroexpand-1 *1)
(user/ttt 1 2)
user=> (macroexpand-1 *1)
(usr/ttt 1 2 3)
user=> (macroexpand-1 *1)
(clojure.core/println 1 2 3)

So,

user=> (macroexpand '(ttt))
(clojure.core/println 1 2 3)

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