This first edition was written for Lua 5.0. While still largely relevant for later versions, there are some differences.
The fourth edition targets Lua 5.3 and is available at Amazon and other bookstores.
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5 – Functions

Functions are the main mechanism for abstraction of statements and expressions in Lua. Functions can both carry out a specific task (what is sometimes called procedure or subroutine in other languages) or compute and return values. In the first case, we use a function call as a statement; in the second case, we use it as an expression:

    print(8*9, 9/8)
    a = math.sin(3) + math.cos(10)
In both cases, we write a list of arguments enclosed in parentheses. If the function call has no arguments, we must write an empty list () to indicate the call. There is a special case to this rule: If the function has one single argument and this argument is either a literal string or a table constructor, then the parentheses are optional:
    print "Hello World"     <-->     print("Hello World")
    dofile 'a.lua'          <-->     dofile ('a.lua')
    print [[a multi-line    <-->     print([[a multi-line
     message]]                        message]])
    f{x=10, y=20}           <-->     f({x=10, y=20})
    type{}                  <-->     type({})

Lua also offers a special syntax for object-oriented calls, the colon operator. An expression like o:foo(x) is just another way to write, x), that is, to call adding o as a first extra argument. In Chapter 16 we will discuss such calls (and object-oriented programming) in more detail.

Functions used by a Lua program can be defined both in Lua and in C (or in any other language used by the host application). For instance, all library functions are written in C; but this fact has no relevance to Lua programmers. When calling a function, there is no difference between functions defined in Lua and functions defined in C.

As we have seen in other examples, a function definition has a conventional syntax; for instance

    -- add all elements of array `a'
    function add (a)
      local sum = 0
      for i,v in ipairs(a) do
        sum = sum + v
      return sum
In that syntax, a function definition has a name (add, in the previous example), a list of parameters, and a body, which is a list of statements.

Parameters work exactly as local variables, initialized with the actual arguments given in the function call. You can call a function with a number of arguments different from its number of parameters. Lua adjusts the number of arguments to the number of parameters, as it does in a multiple assignment: Extra arguments are thrown away; extra parameters get nil. For instance, if we have a function like

    function f(a, b) return a or b end
we will have the following mapping from arguments to parameters:
    CALL             PARAMETERS
    f(3)             a=3, b=nil
    f(3, 4)          a=3, b=4
    f(3, 4, 5)       a=3, b=4   (5 is discarded)
Although this behavior can lead to programming errors (easily spotted at run time), it is also useful, especially for default arguments. For instance, consider the following function, to increment a global counter.
    function incCount (n)
      n = n or 1
      count = count + n
This function has 1 as its default argument; that is, the call incCount(), without arguments, increments count by one. When you call incCount(), Lua first initializes n with nil; the or results in its second operand; and as a result Lua assigns a default 1 to n.