Special values like NaN are half-assed sum types. The latter give you compiler guarantees.
In my opinion it’s overall cleaner if the compiler handles enforcing it when it can. Something like “ensure variable is initialized” can just be another compiler check.
Combined with an effects system that lets you control which errors to enforce checking on or not. Nim has a nice `forbids: IOException` that lets users do that.
Only sometimes, when the compiler happens to be able to understand the code fully enough. With sum types it can be enforced all the time, and bypassed when the programmer explicitly wants it to be.
tbh this system (assuming it works that way) would be more strict at compile-time than the vast majority of languages.
If you actually want the compiler to check this on the level of the type system, it'd have to be `NonNaNFloat | NaN`. Then you can check which one you have and continue with a float that is guaranteed to not be NaN.
But (importantly) a NonNaNFloat is not the same as a float, and this distinction has to be encoded in the type system if you want to take this approach seriously. This distinction is NOT supported by most type systems (including Rust's std afaik, fwiw). It's similar to Rust's NonZero family of types.
Hypothetically, no, the float type would not admit NaNs. You would be prevented from storing NaNs in them explicitly, and operations capable of producing NaNs would produce a `float | nan` type that is distinct from float, and can't be treated like float until it's checked for NaN.
And I'm not sure why it's being discussed as though this is some esoteric language feature. This is precisely the way non-nullable types work in languages like Kotlin and TypeScript. The underlying machine representation of the object is capable of containing null values, yes, but the compiler doesn't let you treat it as such (without certain workarounds).