Add `round_ties_even` to `f32` and `f64`
Tracking issue: #96710
Redux of #82273. See also #55107
Adds a new method, `round_ties_even`, to `f32` and `f64`, that rounds the float to the nearest integer , rounding halfway cases to the number with an even least significant bit. Uses the `roundeven` LLVM intrinsic to do this.
Of the five IEEE 754 rounding modes, this is the only one that doesn't already have a round-to-integer function exposed by Rust (others are `round`, `floor`, `ceil`, and `trunc`). Ties-to-even is also the rounding mode used for int-to-float and float-to-float `as` casts, as well as float arithmentic operations. So not having an explicit rounding method for it seems like an oversight.
Bikeshed: this PR currently uses `round_ties_even` for the name of the method. But maybe `round_ties_to_even` is better, or `round_even`, or `round_to_even`?
"Round half-way cases" is a little confusing (it's a 'garden path
sentence' as it's not immediately clear whether round is an adjective
or verb).
Make this sentence longer and clearer.
Use rint intrinsic instead of roundeven to impement `round_ties_even`. They do the same thing when rounding mode is default, which Rust assumes.
And `rint` has better platform support.
Keeps `roundeven` around in `core::intrinsics`, it's doing no harm there.
Improve floating point documentation
This is my attempt to improve/solve https://github.com/rust-lang/rust/issues/95468 and https://github.com/rust-lang/rust/issues/73328 .
Added/refined explanations:
- Refine the "NaN as a special value" top level explanation of f32
- Refine `const NAN` docstring: add an explanation about there being multitude of NaN bitpatterns and disclaimer about the portability/stability guarantees.
- Refine `fn is_sign_positive` and `fn is_sign_negative` docstrings: add disclaimer about the sign bit of NaNs.
- Refine `fn min` and `fn max` docstrings: explain the semantics and their relationship to the standard and libm better.
- Refine `fn trunc` docstrings: explain the semantics slightly more.
- Refine `fn powi` docstrings: add disclaimer that the rounding behaviour might be different from `powf`.
- Refine `fn copysign` docstrings: add disclaimer about payloads of NaNs.
- Refine `minimum` and `maximum`: add disclaimer that "propagating NaN" doesn't mean that propagating the NaN bit patterns is guaranteed.
- Refine `max` and `min` docstrings: add "ignoring NaN" to bring the one-row explanation to parity with `minimum` and `maximum`.
Cosmetic changes:
- Reword `NaN` and `NAN` as plain "NaN", unless they refer to the specific `const NAN`.
- Reword "a number" to `self` in function docstrings to clarify.
- Remove "Returns NAN if the number is NAN" from `abs`, as this is told to be the default behavior in the top explanation.
- Refine the "NaN as a special value" top level explanation of f32
- Refine `const NAN` docstring.
- Refine `fn is_sign_positive` and `fn is_sign_negative` docstrings.
- Refine `fn min` and `fn max` docstrings.
- Refine `fn trunc` docstrings.
- Refine `fn powi` docstrings.
- Refine `fn copysign` docstrings.
- Reword `NaN` and `NAN` as plain "NaN", unless they refer to the specific `const NAN`.
- Reword "a number" to `self` in function docstrings to clarify.
- Remove "Returns NAN if the number is NAN" as this is told to be the default behavior in the top explanation.
- Remove "propagating NaNs", as full propagation (preservation of payloads) is not guaranteed.
Move {f32,f64}::clamp to core.
`clamp` was recently stabilized (tracking issue: https://github.com/rust-lang/rust/issues/44095). But although `Ord::clamp` was added in `core` (because `Ord` is in `core`), the versions for the `f32` and `f64` primitives were added in `std` (together with `floor`, `sin`, etc.), not in `core` (together with `min`, `max`, `from_bits`, etc.).
This change moves them to `core`, such that `clamp` on floats is available in `no_std` programs as well.
Improve documentation for `std::{f32,f64}::mul_add`
Makes it more clear that performance improvement is not guaranteed when using FMA, even when the target architecture supports it natively.
Stabilize clamp
Tracking issue: https://github.com/rust-lang/rust/issues/44095
Clamp has been merged and unstable for about a year and a half now. How do we feel about stabilizing this?
make exp_m1 and ln_1p examples more representative of use
With this PR, the examples for `exp_m1` would fail if `x.exp() - 1.0` is used instead of `x.exp_m1()`, and the examples for `ln_1p` would fail if `(x + 1.0).ln()` is used instead of `x.ln_1p()`.
