Every value in Lua can have a metatable. This metatable is an ordinary Lua table that defines the behavior of the original value under certain special operations. You can change several aspects of the behavior of operations over a value by setting specific fields in its metatable. For instance, when a non-numeric value is the operand of an addition, Lua checks for a function in the field "__add" in its metatable. If it finds one, Lua calls this function to perform the addition.

We call the keys in a metatable events and the values metamethods. In the previous example, the event is "add" and the metamethod is the function that performs the addition.

You can query the metatable of any value through the getmetatable function.

You can replace the metatable of tables through the setmetatable function. You cannot change the metatable of other types from Lua (except by using the debug library); you must 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.

A metatable controls how an object behaves in arithmetic operations, order comparisons, concatenation, length operation, and indexing. A metatable also can define a function to be called when a userdata is garbage collected. For each of these operations Lua associates a specific key called an event. When Lua performs one of these operations over a value, it checks whether this value has a metatable with the corresponding event. If so, the value associated with that key (the metamethod) controls how Lua will perform the operation.

Metatables control the operations listed next. Each operation is identified by its corresponding name. The key for each operation is a string with its name prefixed by two underscores, '__'; for instance, the key for operation "add" is the string "__add". The semantics of these operations is better explained by a Lua function describing how the interpreter executes the operation.

The code shown here in Lua is only illustrative; the real behavior is hard coded in the interpreter and it is much more efficient than this simulation. All functions used in these descriptions (rawget, tonumber, etc.) are described in §5.1. In particular, to retrieve the metamethod of a given object, we use the expression

     metatable(obj)[event]

This should be read as

     rawget(getmetatable(obj) or {}, event)

That is, the access to a metamethod does not invoke other metamethods, and the access to objects with no metatables does not fail (it simply results in nil).

• "add": the + operation.

  The function getbinhandler below defines how Lua chooses a handler for a binary operation. First, Lua tries the first operand. If its type does not define a handler for the operation, then Lua tries the second operand.

       function getbinhandler (op1, op2, event)
         return metatable(op1)[event] or metatable(op2)[event]
       end
  

  By using this function, the behavior of the op1 + op2 is

       function add_event (op1, op2)
         local o1, o2 = tonumber(op1), tonumber(op2)
         if o1 and o2 then  -- both operands are numeric?
           return o1 + o2   -- '+' here is the primitive 'add'
         else  -- at least one of the operands is not numeric
           local h = getbinhandler(op1, op2, "__add")
           if h then
             -- call the handler with both operands
             return (h(op1, op2))
           else  -- no handler available: default behavior
             error(···)
           end
         end
       end
  

• "sub": the - operation.

  Behavior similar to the "add" operation.

• "mul": the * operation.

  Behavior similar to the "add" operation.

• "div": the / operation.

  Behavior similar to the "add" operation.

• "mod": the % operation.

  Behavior similar to the "add" operation, with the operation o1 - floor(o1/o2)*o2 as the primitive operation.

• "pow": the ^ (exponentiation) operation.

  Behavior similar to the "add" operation, with the function pow (from the C math library) as the primitive operation.

• "unm": the unary - operation.

       function unm_event (op)
         local o = tonumber(op)
         if o then  -- operand is numeric?
           return -o  -- '-' here is the primitive 'unm'
         else  -- the operand is not numeric.
           -- Try to get a handler from the operand
           local h = metatable(op).__unm
           if h then
             -- call the handler with the operand
             return (h(op))
           else  -- no handler available: default behavior
             error(···)
           end
         end
       end
  

• "concat": the .. (concatenation) operation.

       function concat_event (op1, op2)
         if (type(op1) == "string" or type(op1) == "number") and
            (type(op2) == "string" or type(op2) == "number") then
           return op1 .. op2  -- primitive string concatenation
         else
           local h = getbinhandler(op1, op2, "__concat")
           if h then
             return (h(op1, op2))
           else
             error(···)
           end
         end
       end
  

• "len": the # operation.

       function len_event (op)
         if type(op) == "string" then
           return strlen(op)         -- primitive string length
         elseif type(op) == "table" then
           return #op                -- primitive table length
         else
           local h = metatable(op).__len
           if h then
             -- call the handler with the operand
             return (h(op))
           else  -- no handler available: default behavior
             error(···)
           end
         end
       end
  

  See §2.5.5 for a description of the length of a table.

• "eq": the == operation.

  The function getcomphandler defines how Lua chooses a metamethod for comparison operators. A metamethod only is selected when both objects being compared have the same type and the same metamethod for the selected operation.

       function getcomphandler (op1, op2, event)
         if type(op1) ~= type(op2) then return nil end
         local mm1 = metatable(op1)[event]
         local mm2 = metatable(op2)[event]
         if mm1 == mm2 then return mm1 else return nil end
       end
  

  The "eq" event is defined as follows:

       function eq_event (op1, op2)
         if type(op1) ~= type(op2) then  -- different types?
           return false   -- different objects
         end
         if op1 == op2 then   -- primitive equal?
           return true   -- objects are equal
         end
         -- try metamethod
         local h = getcomphandler(op1, op2, "__eq")
         if h then
           return (h(op1, op2))
         else
           return false
         end
       end
  

  a ~= b is equivalent to not (a == b).

• "lt": the < operation.

       function lt_event (op1, op2)
         if type(op1) == "number" and type(op2) == "number" then
           return op1 < op2   -- numeric comparison
         elseif type(op1) == "string" and type(op2) == "string" then
           return op1 < op2   -- lexicographic comparison
         else
           local h = getcomphandler(op1, op2, "__lt")
           if h then
             return (h(op1, op2))
           else
             error(···)
           end
         end
       end
  

  a > b is equivalent to b < a.

• "le": the <= operation.

       function le_event (op1, op2)
         if type(op1) == "number" and type(op2) == "number" then
           return op1 <= op2   -- numeric comparison
         elseif type(op1) == "string" and type(op2) == "string" then
           return op1 <= op2   -- lexicographic comparison
         else
           local h = getcomphandler(op1, op2, "__le")
           if h then
             return (h(op1, op2))
           else
             h = getcomphandler(op1, op2, "__lt")
             if h then
               return not h(op2, op1)
             else
               error(···)
             end
           end
         end
       end
  

  a >= b is equivalent to b <= a. Note that, in the absence of a "le" metamethod, Lua tries the "lt", assuming that a <= b is equivalent to not (b < a).

• "index": The indexing access table[key].

       function gettable_event (table, key)
         local h
         if type(table) == "table" then
           local v = rawget(table, key)
           if v ~= nil then return v end
           h = metatable(table).__index
           if h == nil then return nil end
         else
           h = metatable(table).__index
           if h == nil then
             error(···)
           end
         end
         if type(h) == "function" then
           return (h(table, key))     -- call the handler
         else return h[key]           -- or repeat operation on it
         end
       end
  

• "newindex": The indexing assignment table[key] = value.

       function settable_event (table, key, value)
         local h
         if type(table) == "table" then
           local v = rawget(table, key)
           if v ~= nil then rawset(table, key, value); return end
           h = metatable(table).__newindex
           if h == nil then rawset(table, key, value); return end
         else
           h = metatable(table).__newindex
           if h == nil then
             error(···)
           end
         end
         if type(h) == "function" then
           h(table, key,value)           -- call the handler
         else h[key] = value             -- or repeat operation on it
         end
       end
  

• "call": called when Lua calls a value.

       function function_event (func, ...)
         if type(func) == "function" then
           return func(...)   -- primitive call
         else
           local h = metatable(func).__call
           if h then
             return h(func, ...)
           else
             error(···)
           end
         end
       end