The key for each event in a metatable is a string with the event name prefixed by two underscores; the corresponding values are called metamethods. In the previous example, the key is “__add“ and the metamethod is the function that performs the addition. Unless stated otherwise, metamethods should be function values.

You can query the metatable of any value using the function. Lua queries metamethods in metatables using a raw access (see rawget). So, to retrieve the metamethod for event ev in object o, Lua does the equivalent to the following code:

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)); you should use the C API for that.

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 ).

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.)

A detailed list of events controlled by metatables is given next. Each operation is identified by its corresponding key.

• __add: the addition (+) operation. If any operand for an addition is not a number (nor a string coercible to a number), Lua will try to call a metamethod. First, Lua will check the first operand (even if it is valid). 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, it 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 value coercible to an integer (see §3.4.3).
• : the bitwise OR (|) operation. Behavior similar to the bitwise AND operation.
• __bxor: 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. The result of the call is always converted to a boolean.
• __le: the less equal (<=) operation. Unlike other operations, the less-equal operation can use two different events. First, Lua looks for the __le metamethod in both operands, like in the less than operation. If it cannot find such a metamethod, then it will try the __lt metamethod, assuming that a <= b is equivalent to not (b < a). As with the other comparison operators, the result is always a boolean. (This use of the __lt event can be removed in future versions; it is also slower than a real __le metamethod.)

• : The indexing access operation table[key]. This event happens when table is not a table or when key is not present in table. The metamethod is looked up in table.

  Despite the name, the metamethod for this event can be either a function or a table. 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. If it is a table, the final result is the result of indexing this table with key. (This indexing is regular, not raw, and therefore can trigger another metamethod.)

• __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 result of the operation. (This is the only metamethod that allows multiple results.)

It is a good practice to add all needed metamethods to a table before setting it as a metatable of some object. In particular, the metamethod works only when this order is followed (see §2.5.1).