Our implementation did the classic add-sub rounding trick `(y = x +/- C =+ C - x)`
with `C = 1 / eps(T) = 2^(mantissa - 1)`. This approach only works for values whose
magnitude is below the rounding capacity of the constant. For a 64-bit mantissa
(like f80 has), `C = 2^63` only rounds for `|x| < 2^63`. Before we allowed this to
be ran on `e < bias + 64` aka `|x| < 2^64`. And because it isn't large enough,
we lose a bit to rounding.
For reference, the musl implementation does the same thing, using `mantissa - 1`:
https://git.musl-libc.org/cgit/musl/tree/src/math/ceill.c#n18
where `LDBL_MANT_DIG` is 64 for `long double` on x86.
This commit also combines the floor and ceil implementations into one generic one.
This was caused a `[0]std.builtin.Type.StructField.Attributes` to be
considered `undefined`, even though that type is OPV so should prefer
its OPV `.{}` over `undefined`.
Resolves: #30039
Apple's own headers and tbd files prefer to think of Mac Catalyst as a distinct
OS target. Earlier, when DriverKit support was added to LLVM, it was represented
a distinct OS. So why Apple decided to only represent Mac Catalyst as an ABI in
the target triple is beyond me. But this isn't the first time they've ignored
established target triple norms (see: armv7k and aarch64_32) and it probably
won't be the last.
While doing this, I also audited all Darwin OS prongs throughout the codebase
and made sure they cover all the tags.
The changes to `codegen.c` are blatant hacks, but the problem they work
around isn't a regression: it's an existing miscompilation. This branch
happened to *expose* that miscompilation in more cases by changing how
an incorrect result is *used*.
This clarifies that it is legal to return an invalid pointer from a
function, provided that such pointer is not dereferenced.
This matches current status quo of the language. Any change to this
should be a proposal that argues for different semantics.
It is also legal in C to return a pointer to a local. The C backend
lowers such thing directly, so the corresponding warning in C must be
disabled (`-Wno-return-stack-address`).
This instruction actually has fairly useless semantics, and even the
cases that were semantically correct could save 1 cycle of latency by
using a different sequnce involving the avx version instead.
Closes#25174
