Why is the following piece of Lua code, completely valid? - lua

Question

From my Lua knowledge (and according to what I have read in Lua manuals), I've always been under impression that an identifier in Lua is only limited to A-Z & a-z & _ & digits (and can not start using a digit nor be a reserved keyword i.e. local local = 123).
And now I have run into some (obfuscated) Lua program which uses all kind of weird characters for an identifier:
https://i.imgur.com/HPLKMxp.png
-- Most likely, copy+paste won't work. Download the file from https://tknk.io/7HHZ
print(_VERSION .. " " .. (jit and "JIT" or "non-JIT"))
local T = {}
T.math = T.math or {}
T.math.​â®â€‹âŞâ®â€‹­ď»żâ€Śâ€­âŽ­ = math.sin
T.math.â¬â€‹â­â¬â­â«â®â€­â€¬ = math.cos
for k, v in pairs(T.math) do print(k, v) end
Output:
Lua 5.1 JIT
â¬â€‹â­â¬â­â«â®â€­â€¬ function: builtin#45
​â®â€‹âŞâ®â€‹­ď»żâ€Śâ€­âŽ­ function: builtin#44
It is unclear to me, why is this set of characters allowed for an identifier?
In other words, why is it a completely valid Lua program?

Answer 1

Unlike some languages, Lua is not really defined by a formal specification, one which covers every contingency and entirely explains all of Lua's behavior. Something as simple as "what character set is a Lua file encoded in" isn't really explain in Lua's documentation.
All the docs say about identifiers is:
Names (also called identifiers) in Lua can be any string of letters, digits, and underscores, not beginning with a digit and not being a reserved word.
But nothing ever really says what a "letter" is. There isn't even a definition for what character set Lua uses. As such, it's essentially implementation-dependent. A "letter" is... whatever the implementation wants it to be.
So, let's say you're writing a Lua implementation. And you want users to be able to provide Unicode-encoded strings (that is, strings within the Lua text). Lua 5.3 requires this. But you also don't want them to have to use UTF-16 encoding for their files (also because lua_load gets sequences of bytes, not shorts). So your Lua implementation assumes the byte sequence it gets in lua_load is encoded in UTF-8, so that users can write strings that use Unicode characters.
When it comes to writing the lexer/parser part of this implementation, how do you handle this? The simplest, easiest way to handle UTF-8 is to... not handle UTF-8. Indeed, that's the whole point of that encoding. Since everything that Lua defines with specific symbols are encoded in ASCII, and ASCII text is also UTF-8 text with the same meaning, you can basically treat a UTF-8 string like an ASCII string. For in-Lua strings, you just copy the sequence of bytes between the start and end characters of the string.
So how do you go about lexing identifiers? Well, you could ask the question above. Or you could ask a much simpler question: is the character a space, control character, digit, or symbol? A "letter" is merely something that isn't one of those.
Lua defines what things it considers to be "symbols". ASCII can tell you what is a control character, space, and a digit. In such an implementation, any UTF-8 code unit with a value outside of ASCII is a letter. Even if technically, those code units decode into something Unicode thinks of as a "symbol", your lexer just threats it as a letter.
This simple form of UTF-8 lexing gives you fast performance and low memory overhead. You don't have to decode UTF-8 into Unicode codepoints, and you don't need a giant Unicode table to tell you whether a codepoint is a "symbol" or "space" or whatever. And of course, it's also something that would naturally fall out of many ASCII-based Lua implementations.
So most Lua implementations will do it this way, if only by accident. Doing something more would require deliberate effort.
It also allows a user to use Unicode character sequences as identifiers. That means that someone can easily write code in their native language (outside of keywords).
But it also means that obfuscators have lots of ways to create "identifiers" that are just strings of nonsensical bytes. Indeed, because there are multiple ways in Unicode to "spell" the same apparent Unicode string (unless you examine the bytes directly), obfuscators can rig up identifiers that appear when rendered in a text editor to all be the same text, while actually being different strings.

Answer 2

To clarify there is only one identifier T
T.math is sugar syntax for T["math"] this also extends to the obfuscate strings. It is perfectly valid to have a key contain any characters or even start with a number.
Now being able to use the . rather then [ ] does not work with a string that don't conform to the identifier's limitations. See Nicol Bolas' answer for a great break down of those limitations.