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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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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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This PR fix several build errors on aarch64 targets when building with
gcc:
- uninitialized values leading to `Werrors`
- undefined builtin functions
- glibc header pollution
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rounding modes. (#96591)
Sharing the same algorithm as double precision sin:
https://github.com/llvm/llvm-project/pull/95736
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rounding modes. (#95736)
- Algorithm:
- Step 1 - Range reduction: for a double precision input `x`, return `k`
and `u` such that
- k is an integer
- u = x - k * pi / 128, and |u| < pi/256
- Step 2 - Calculate `sin(u)` and `cos(u)` in double-double using Taylor
polynomials with errors < 2^-70 with FMA or < 2^-66 w/o FMA.
- Step 3 - Calculate `sin(x) = sin(k*pi/128) * cos(u) + cos(k*pi/128) *
sin(u)` using look-up table for `sin(k*pi/128)` and `cos(k*pi/128)`.
- Step 4 - Use Ziv's rounding test to decide if the result is correctly
rounded.
- Step 4' - If the Ziv's rounding test failed, redo step 1-3 using
128-bit precision.
- Currently, without FMA instructions, the large range reduction only
works correctly for the default rounding mode (FE_TONEAREST).
- Provide `LIBC_MATH` flag so that users can set `LIBC_MATH =
LIBC_MATH_SKIP_ACCURATE_PASS` to build the `sin` function without step 4
and 4'.
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