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.
Remove the RemoveDir step with no replacement. This step had no valid
purpose. Mutating source files? That should be done with
UpdateSourceFiles step. Deleting temporary directories? That required
creating the tmp directories in the configure phase which is broken.
Deleting cached artifacts? That's going to cause problems.
Similarly, remove the `Build.makeTempPath` function. This was used to
create a temporary path in the configure place which, again, is the
wrong place to do it.
Instead, the WriteFile step has been updated with more functionality:
tmp mode: In this mode, the directory will be placed inside "tmp" rather
than "o", and caching will be skipped. During the `make` phase, the step
will always do all the file system operations, and on successful build
completion, the dir will be deleted along with all other tmp
directories. The directory is therefore eligible to be used for
mutations by other steps. `Build.addTempFiles` is introduced to
initialize a WriteFile step with this mode.
mutate mode: The operations will not be performed against a freshly
created directory, but instead act against a temporary directory.
`Build.addMutateFiles` is introduced to initialize a WriteFile step with
this mode.
`Build.tmpPath` is introduced, which is a shortcut for
`Build.addTempFiles` followed by `WriteFile.getDirectory`.
* give Cache a gpa rather than arena because that's what it asks for
this gets the build runner compiling again on linux
this work is incomplete; it only moves code around so that environment
variables can be wrangled properly. a future commit will need to audit
the cancelation and error handling of this moved logic.
There's a good argument to not have this in the std lib but it's more
work to remove it than to leave it in, and this branch is already
20,000+ lines changed.
It's better to avoid references to this global variable, but, in the
cases where it's needed, such as in std.debug.print and collecting stack
traces, better to share the same instance.
