The key for each event in a metatable is a string with the event name prefixed by two underscores; the corresponding value is called a metavalue. For most events, the metavalue must be a function, which is then called a metamethod. In the previous example, the key is the string “__add“ and the metamethod is the function that performs the addition. Unless stated otherwise, a metamethod may in fact be any callable value, which is either a function or a value with a __call metamethod.

    You can query the metatable of any value using the function. Lua queries metamethods in metatables using a raw access (see rawget).

    You can replace the metatable of tables using the function. You cannot change the metatable of other types from Lua code, except by using the debug library (§6.10).

    Tables and full userdata have individual metatables, although multiple tables and userdata can share their metatables. Values of all other types share one single metatable per type; that is, there is one single metatable for all numbers, one for all strings, etc. By default, a value has no metatable, but the string library sets a metatable for the string type (see ).

    • __add: the addition (+) operation. If any operand for an addition is not a number, Lua will try to call a metamethod. It starts by checking the first operand (even if it is a number); if that operand does not define a metamethod for __add, then Lua will check the second operand. If Lua can find a metamethod, it calls the metamethod with the two operands as arguments, and the result of the call (adjusted to one value) is the result of the operation. Otherwise, if no metamethod is found, Lua raises an error.
    • __sub: the subtraction (-) operation. Behavior similar to the addition operation.
    • __mul: the multiplication (*) operation. Behavior similar to the addition operation.
    • __div: the division (/) operation. Behavior similar to the addition operation.
    • __mod: the modulo (%) operation. Behavior similar to the addition operation.
    • __pow: the exponentiation (^) operation. Behavior similar to the addition operation.
    • __idiv: the floor division (//) operation. Behavior similar to the addition operation.
    • __band: the bitwise AND (&) operation. Behavior similar to the addition operation, except that Lua will try a metamethod if any operand is neither an integer nor a float coercible to an integer (see §3.4.3).
    • __bor: the bitwise OR (|) operation. Behavior similar to the bitwise AND operation.
    • : the bitwise exclusive OR (binary ~) operation. Behavior similar to the bitwise AND operation.
    • __bnot: the bitwise NOT (unary ~) operation. Behavior similar to the bitwise AND operation.
    • __shl: the bitwise left shift (<<) operation. Behavior similar to the bitwise AND operation.
    • __concat: the concatenation (..) operation. Behavior similar to the addition operation, except that Lua will try a metamethod if any operand is neither a string nor a number (which is always coercible to a string).
    • __len: the length (#) operation. If the object is not a string, Lua will try its metamethod. If there is a metamethod, Lua calls it with the object as argument, and the result of the call (always adjusted to one value) is the result of the operation. If there is no metamethod but the object is a table, then Lua uses the table length operation (see ). Otherwise, Lua raises an error.
    • __eq: the equal (==) operation. Behavior similar to the addition operation, except that Lua will try a metamethod only when the values being compared are either both tables or both full userdata and they are not primitively equal. The result of the call is always converted to a boolean.
    • __lt: the less than (<) operation. Behavior similar to the addition operation, except that Lua will try a metamethod only when the values being compared are neither both numbers nor both strings. Moreover, the result of the call is always converted to a boolean.
    • __le: the less equal (<=) operation. Behavior similar to the less than operation.

    • __index: The indexing access operation table[key]. This event happens when table is not a table or when key is not present in table. The metavalue is looked up in the metatable of table.

      The metavalue for this event can be either a function, a table, or any value with an __index metavalue. If it is a function, it is called with table and key as arguments, and the result of the call (adjusted to one value) is the result of the operation. Otherwise, the final result is the result of indexing this metavalue with . This indexing is regular, not raw, and therefore can trigger another __index metavalue.

    • __call: The call operation func(args). This event happens when Lua tries to call a non-function value (that is, func is not a function). The metamethod is looked up in func. If present, the metamethod is called with func as its first argument, followed by the arguments of the original call (args). All results of the call are the results of the operation. This is the only metamethod that allows multiple results.

    In addition to the previous list, the interpreter also respects the following keys in metatables: __gc (see §2.5.3), __close (see ), __mode (see §2.5.4), and __name. (The entry __name, when it contains a string, may be used by and in error messages.)

    For the unary operators (negation, length, and bitwise NOT), the metamethod is computed and called with a dummy second operand, equal to the first one. This extra operand is only to simplify Lua’s internals (by making these operators behave like a binary operation) and may be removed in future versions. For most uses this extra operand is irrelevant.

    Because metatables are regular tables, they can contain arbitrary fields, not only the event names defined above. Some functions in the standard library (e.g., ) use other fields in metatables for their own purposes.