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Add tests for signaling NaNs, and fix function behavior for handling
signaling NaN input.
Fixes https://github.com/llvm/llvm-project/issues/124812
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LIBC_MATH_SKIP_ACCURATE_PASS is set. (#130811)
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This is a part of #97655.
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declaration" (#98593)
Reverts llvm/llvm-project#98075
bots are broken
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This is a part of #97655.
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The inexact exception flag was raised for the exact cases of signed
zeros. This was reported by Paul Zimmermann using the CORE-MATH test
suites.
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Another patch is needed to cover `DyadicFloat` and `NormalFloat`
constructors.
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This one might be a bit controversial since the terminology has been
introduced from the start but I think `FRACTION_LEN` is a better name
here. AFAICT it really is "the number of bits after the decimal dot when
the number is in normal form."
`MANTISSA_WIDTH` is less precise as it's unclear whether we take the
leading bit into account.
This patch also renames most of the properties to use the `_LEN` suffix
and fixes useless casts or variables.
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reduce clutter (#75196) (#75318)
Also make type naming consistent by using `UIntType` instead of
`intU_t`.
This patch is a reland of #75196 but does not include the "use `FPBits`
instead of `FPBits_t`, `FPB`" part. This needs more work.
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reduce clutter" (#75304)
Reverts llvm/llvm-project#75196
GCC complains about change of meaning for `FPBits`
```
/home/llvm-libc-buildbot/buildbot-worker/libc-x86_64-debian-fullbuild/libc-x86_64-debian-gcc-fullbuild-dbg/llvm-project/libc/src/__support/FPUtil/generic/FMod.h:188:9: error: declaration of ‘using FPBits = struct __llvm_libc_18_0_0_git::fputil::FPBits<T>’ changes meaning of ‘FPBits’ [-fpermissive]
188 | using FPBits = FPBits<T>;
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```
I'll reland with a different name.
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clutter (#75196)
Also make type naming consistent:
- `UIntType` instead of `intU_t`
- `FPBits` instead of `FPBits_t`, `FPB`
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This is step 4 of
https://discourse.llvm.org/t/rfc-customizable-namespace-to-allow-testing-the-libc-when-the-system-libc-is-also-llvms-libc/73079
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Implement correctly rounded `erff` functions.
For `x >= 4`, `erff(x) = 1` for `FE_TONEAREST` or `FE_UPWARD`, `0x1.ffffep-1` for `FE_DOWNWARD` or `FE_TOWARDZERO`.
For `0 <= x < 4`, we divide into 32 sub-intervals of length `1/8`, and use a degree-15 odd polynomial to approximate `erff(x)` in each sub-interval:
```
erff(x) ~ x * (c0 + c1 * x^2 + c2 * x^4 + ... + c7 * x^14).
```
For `x < 0`, we can use the same formula as above, since the odd part is factored out.
Performance tested with `perf.sh` tool from the CORE-MATH project on AMD Ryzen 9 5900X:
Reciprocal throughput (clock cycles / op)
```
$ ./perf.sh erff --path2
GNU libc version: 2.35
GNU libc release: stable
-- CORE-MATH reciprocal throughput -- with -march=native (with FMA instructions)
[####################] 100 %
Ntrial = 20 ; Min = 11.790 + 0.182 clc/call; Median-Min = 0.154 clc/call; Max = 12.255 clc/call;
-- CORE-MATH reciprocal throughput -- with -march=x86-64-v2 (without FMA instructions)
[####################] 100 %
Ntrial = 20 ; Min = 14.205 + 0.151 clc/call; Median-Min = 0.159 clc/call; Max = 15.893 clc/call;
-- System LIBC reciprocal throughput --
[####################] 100 %
Ntrial = 20 ; Min = 45.519 + 0.445 clc/call; Median-Min = 0.552 clc/call; Max = 46.345 clc/call;
-- LIBC reciprocal throughput -- with -mavx2 -mfma (with FMA instructions)
[####################] 100 %
Ntrial = 20 ; Min = 9.595 + 0.214 clc/call; Median-Min = 0.220 clc/call; Max = 9.887 clc/call;
-- LIBC reciprocal throughput -- with -msse4.2 (without FMA instructions)
[####################] 100 %
Ntrial = 20 ; Min = 10.223 + 0.190 clc/call; Median-Min = 0.222 clc/call; Max = 10.474 clc/call;
```
and latency (clock cycles / op):
```
$ ./perf.sh erff --path2
GNU libc version: 2.35
GNU libc release: stable
-- CORE-MATH latency -- with -march=native (with FMA instructions)
[####################] 100 %
Ntrial = 20 ; Min = 38.566 + 0.391 clc/call; Median-Min = 0.503 clc/call; Max = 39.170 clc/call;
-- CORE-MATH latency -- with -march=x86-64-v2 (without FMA instructions)
[####################] 100 %
Ntrial = 20 ; Min = 43.223 + 0.667 clc/call; Median-Min = 0.680 clc/call; Max = 43.913 clc/call;
-- System LIBC latency --
[####################] 100 %
Ntrial = 20 ; Min = 111.613 + 1.267 clc/call; Median-Min = 1.696 clc/call; Max = 113.444 clc/call;
-- LIBC latency -- with -mavx2 -mfma (with FMA instructions)
[####################] 100 %
Ntrial = 20 ; Min = 40.138 + 0.410 clc/call; Median-Min = 0.536 clc/call; Max = 40.729 clc/call;
-- LIBC latency -- with -msse4.2 (without FMA instructions)
[####################] 100 %
Ntrial = 20 ; Min = 44.858 + 0.872 clc/call; Median-Min = 0.814 clc/call; Max = 46.019 clc/call;
```
Reviewed By: michaelrj
Differential Revision: https://reviews.llvm.org/D153683
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