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src/__support/math folder. (#151883)
Part of #147386
in preparation for: https://discourse.llvm.org/t/rfc-make-clang-builtin-math-functions-constexpr-with-llvm-libc-to-support-c-23-constexpr-math-functions/86450
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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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(#130700)
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- Improve the accuracy of fast pass' range reduction.
- Provide tighter error estimations.
- Reduce the table size when `LIBC_MATH_SMALL_TABLES` flag is set.
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Sin/cos/tan fuzzers were having issues with ONE_TWENTY_EIGHT_OVER_PI, so
the LIBC_TARGET_CPU_HAS_FMA ifdef statement got moved from the
sin/cos/tan .cpp files to the range_reduction_double_common.cpp file.
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suppress uninitialized werrors when building with gcc
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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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Summary:
This patch adds `LIBC_COPT_MATH_OPTIMIZATIONS` that allows users to
configure the
different math optimizations.
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Summary:
When the fast math options are enabled these functions are uncalled,
which makes it error.
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Using the same range reduction as `sin`, `cos`, and `sincos`:
1) Reducing `x = k*pi/128 + u`, with `|u| <= pi/256`, and `u` is in
double-double.
2) Approximate `tan(u)` using degree-9 Taylor polynomial.
3) Compute
```
tan(x) ~ (sin(k*pi/128) + tan(u) * cos(k*pi/128)) / (cos(k*pi/128) - tan(u) * sin(k*pi/128))
```
using the fast double-double division algorithm in [the CORE-MATH
project](https://gitlab.inria.fr/core-math/core-math/-/blob/master/src/binary64/tan/tan.c#L1855).
4) Perform relative-error Ziv's accuracy test
5) If the accuracy tests failed, we redo the computations using 128-bit
precision `DyadicFloat`.
Fixes https://github.com/llvm/llvm-project/issues/96930
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