- Feature Name:
assoc_math_consts
- Start Date: 2023-04-17
- RFC PR: rust-lang/rfcs#0000
- Rust Issue: rust-lang/rust#0000
Add the constants in std::f32::consts and std::f64::consts as associated constants to the f32 and f64 types (e.g. f32::PI).
Currently mathematical constants such as π live in std::{f32, f64}::consts. This is difficult to type and read if written out in full everywhere. Consider
assert_eq!(std::f32::consts::FRAC_PI_4.sin(), std::f32::consts::FRAC_1_SQRT_2);
vs
assert_eq!(f32::FRAC_PI_4.sin(), f32::FRAC_1_SQRT_2);
While it is possible to use std::f32::consts as f32c;
or similar, it could be cumbersome to do that in every file
in a project which uses mathematical constants heavily.
Also new users of Rust might expect mathematical constants to be there. Currently NAN, INFINITY, etc. are associated constants, and it might be confusing for f32::NAN to exist, but not f32::PI.
When writing code which uses mathematical constants, the associated constants in f32 and f64 can be used. For example, the function f(x) = (π/e)x can be written as:
fn f(x: f32) -> f32 {
(f32::PI / f32::E).powf(x)
}
The following constants will be added with their values taken from the respective constants in std::f32::consts and std::f64::consts.
- f32::{PI, TAU, FRAC_PI_2, FRAC_PI_3, FRAC_PI_4, FRAC_PI_6, FRAC_PI_8, FRAC_1_PI, FRAC_2_PI, FRAC_2_SQRT_PI, SQRT_2, FRAC_1_SQRT_2, E, LOG2_E, LOG2_10, LOG10_E, LOG10_2, LN_2, LN_10}
- f64::{PI, TAU, FRAC_PI_2, FRAC_PI_3, FRAC_PI_4, FRAC_PI_6, FRAC_PI_8, FRAC_1_PI, FRAC_2_PI, FRAC_2_SQRT_PI, SQRT_2, FRAC_1_SQRT_2, E, LOG2_E, LOG2_10, LOG10_E, LOG10_2, LN_2, LN_10}
Currently it is not possible to use
associated constants, so in order to use
mathematical constants,
it will still be necessary to refer to them by their paths in std.
Even if use
-ing associated constants does become possible in a future version of Rust,
it will likely never be possible or a good idea to do use f32::*;
whereas
use std::f32::consts::*;
is perhaps more reasonable (although, it's worth mentioning
that more mathematical constants could be added in future versions of Rust, so using *
is probably not a good idea in general).
This proposal would add many more items to the f32
and f64
types, which might not be desirable.
- The mathematical constants in std could be (planned to be) deprecated.
The drawback as mentioned above is that f32::PI, etc. are not
use
-able. The benefit is that there would be a clear "preferred" path for mathematical constants. - We could create a trait similar to num::traits::FloatConst
which houses these constants. The benefits are that the constants can be used in a generic
context and we wouldn't be crowding the
f32
andf64
types. The downside would be that adding a new constant would be a breaking change for any user types implementing the trait (unless it was made externally unimplementable via the usual "hack" of a pub trait in a private module). - Creating a type for each constant, e.g.
struct Pi;
then implementingFrom<f32>
,From<f64>
for them (and perhaps alsoAdd<f32>
, etc.). The benefits are that these could be used in generic contexts, wouldn't be crowding thef32
/f64
types, and non-std types could addFrom<T>
implementations for the constants. The downsides are thatf32::from(Pi)
(which you might end up needing to use in a lot of cases to get type inference to work) is a bit less "ergonomic" thanf32::PI
, the names would need to change fromCONSTANT_CASE
toTypeCase
, and it might be less intuitive (especially for beginners) that mathematical constants are structs and not constants.
- The crates
half
andfixed
have these as associated constants on their types. - RFC 2700 originally proposed to do this, but since it was "met with mild resistance", it was decided that it would be left for a later RFC since the focus of 2700 was on adding integral associated constants (e.g. u32::MAX).
- In the future, especially if associated constants become
use
-able, we could deprecate std::{f32, f64}::consts.