The JScript Type System, part one

I thought I might spend a few days talking about the JScript and JScript .NET type systems, starting with some introductory material.

Consider a JScript variable:

var myVar;

Now think about the possible values you could store in the variable. A variable may contain any number, any string or any object. It can also be true or false or null or even undefined. This is a rather large set of possible values. In fact, the set of all legal values is infinite. Countably infinite, and in practice limited by available memory, but in theory there is no upper limit.

A type is characterized by two things, a set and a rule. First, a type consists of a subset (possibly infinitely large) of the set of all possible values. Second, a type defines a rule for transforming values outside the set into values in the set. (This rule may specify that certain values are not convertible and hence produce “type mismatch” errors.)

For example, String is a type. The set of all possible strings is an (infinite) subset of the set of all possible values, and there are rules for determining how all non-string values are converted into strings.

JScript Classic is a dynamically typed language. This means that any value of any type may be assigned to any variable without restriction. It is often said — inaccurately — that “JScript has only one type”. This is true only in the sense that JScript has no restrictions on what data may be assigned to any variable, and in that sense every variable is “the same type” – namely, the “any possible value” type. However, the statement is misleading because it implies that JScript supports no types at all, when in fact it supports six built-in types.

JScript .NET, by contrast, is an optionally statically-typed language. A JScript .NET variable may be given a type annotation which restricts the values which may be stored in the variable. This annotation is optional; an unannotated variable acts like a JScript variable and may be assigned any value.

JScript has the property that a value can always describe its own type at runtime. This is not true in, say, C, where you can have a void* and no way of asking it “are you pointing to an integer or a string variable?” In JScript, you can always ask a value what its type is and it will tell you.

The concept of subtyping is not particularly important in JScript Classic though it will become quite useful when we discuss JScript .NET classes later. Essentially a type T1 is a subtype of another type T2 if T1’s set of values is a subset of T2’s set of values. A type consisting of the set of all integers might be a subtype of a type consisting of all the numbers, for instance. (This is not how the integers are traditionally construed; the C type system makes integers and floats disjoint types, where the integer 1 and the float 1.0 are different values that happen to compare as equal — but comparisons across types is a subject for a later blog entry.)

Anyway, JScript Classic has six built-in types, all of which are disjoint. They are as follows:

  • The Number type contains all floating-point numbers as well as positive Infinity, negative Infinity and a special Not-a-Number (“NaN”) values. It may seem odd that “Not-a-Number” is a Number but this does in fact make sense. NaN is the value returned when an operation logically must return a number but no actual number makes sense. For example, when trying to convert the string "banana" to a Number, NaN is the result. Because numbers in JScript are actually represented by a 64 bit floating point number there are a finite number of possible Number values. The number of numbers is very large (in fact there are 18437736874454810627 possible numbers, which is just shy of 2^64.) Numbers have approximately fifteen decimal digits of precision and can range from as tiny as 2.2 x 10-308 to as large as 1.7 x 10308.
  • The String type contains all Unicode strings of any length (including zero-length empty strings.) The string type is for all practical purposes infinite, as the length of a string is limited only by the ability of the operating system to allocate enough memory to hold it.
  • The Boolean type has two values: true and false
  • The Null type has one value: null
  • The Undefined type has one value: undefined. All uninitialized JScript variables are automatically set to undefined
  • The Object type has an infinite number of values. An object is essentially a collection of named properties where each property can be a value of any type. In JScript many things are objects: functions, dates, arrays and regular expressions are all objects.

Types are not themselves “first class” objects in JScript, though they are in JScript .NET. I’ll discuss that, along with the differences between prototype and class inheritance, in later entries.


Notes from 2020

It would be interesting to revisit this series in the context of the TypeScript type system, which is a great example of how rich and powerful a gradually typed language can be. The JScript.NET gradual type system was very simple compared to the TS system!

This series got a lot of good comments from readers. A few highlights from this first episode:

  • the typeof operator in JScript bizarrely does not follow the rules of the type system that I just laid out. It identifies null as an object, but does not identify functions as objects, for example. External functions, like DOM functions, may not be identified as functions. It can also return “unknown” in some rare cases.
  • Also confusing: typeof(3) is number, but typeof(new Number(3)) is object.
  • And also confusing, typeof(this) when called from the body of a user-defined function on the prototype of Number is object.
  • A number of inconsistencies and confusions regarding prototypes were also raised; I discuss these in a later episode.
  • In the earliest published version of this article I used the terms “strong” and “weak” with respect to the type system, and readers rightly took me to task for that. This was the beginning of a realization that I have since strongly expressed: “strong” and “weak” are so vague that they are meaningless. I haven’t checked lately, but one time when I read the Wikipedia article on strong typing, it listed eleven different contradictory meanings. I’ve since expressed the (strong!) opinion that “strongly typed” simply means “a type system that I admire”. Instead of characterizing type systems as “strong” or “weak”, instead say what properties they really have: what restrictions do they impose, when are they imposed, and in what ways can those restrictions be violated, and what are the consequences?
  • Readers similarly noted that “untyped” is vague; it is often used to mean “no restriction is placed on the possible values of variables” (as is the case in classic JavaScript) but is also used to mean “no type system is imposed at all on any values” (as is the case in, say, untyped lambda calculus, where all values are function from function to function; there are no integers or strings at all.)

 

1 thought on “The JScript Type System, part one

  1. Pingback: The JScript Type System, Part Two: Prototypes and constructors | Fabulous adventures in coding

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