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glibc/sysdeps
Adhemerval Zanella 8a0152b61b math: New generic fmaf implementation
The current implementation relies on setting the rounding mode for
different calculations (FE_TOWARDZERO) to obtain correctly rounded
results.  For most CPUs, this adds significant performance overhead
because it requires executing a typically slow instruction (to
get/set the floating-point status), necessitates flushing the
pipeline, and breaks some compiler assumptions/optimizations.

The original implementation adds tests to handle underflow in corner
cases, whereas this implementation uses a different strategy that
checks both the mantissa and the result to determine whether the
result is not subject to double rounding.

I tested this implementation on various targets (x86_64, i686, arm,
aarch64, powerpc), including some by manually disabling the compiler
instructions.

Performance-wise, it shows large improvements:

reciprocal-throughput       master       patched       improvement
x86_64 [1]                   58.09          7.96             7.33x
i686 [1]                    279.41         16.97            16.46x
aarch64 [2]                  26.09          4.10             6.35x
armhf [2]                    30.25          4.20             7.18x
powerpc [3]                   9.46          1.46             6.45x

latency                     master       patched       improvement
x86_64                       64.50         14.25             4.53x
i686                        304.39         61.04             4.99x
aarch64                      27.71          5.74             4.82x
armhf                        33.46          7.34             4.55x
powerpc                      10.96          2.65             4.13x

Checked on x86_64-linux-gnu and i686-linux-gnu with —disable-multi-arch,
and on arm-linux-gnueabihf.

[1] gcc 15.2.1, Zen3
[2] gcc 15.2.1, Neoverse N1
[3] gcc 15.2.1, POWER10

Signed-off-by: Szabolcs Nagy <nsz@gcc.gnu.org>
Co-authored-by: Adhemerval Zanella <adhemerval.zanella@linaro.org>
Co-authored-by: Wilco Dijkstra <Wilco.Dijkstra@arm.com>
Reviewed-by: Wilco Dijkstra  <Wilco.Dijkstra@arm.com>
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