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math: Updated atanh implementation based on FreeBSD for improved accuracy and efficiency #2746

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Deepakchowdavarapu
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@Deepakchowdavarapu Deepakchowdavarapu commented Aug 5, 2024

math: Update atanh implementation based on FreeBSD for improved accuracy and efficiency

This pull request updates the hyperbolic arctangent (atanh) function in the math/base/special module. The changes are inspired by the FreeBSD implementation, aiming to improve accuracy and efficiency.

Key changes:

  1. Improved accuracy for values close to ±1
  2. Enhanced handling of edge cases (e.g., ±0, ±1, NaN)
  3. More efficient computation for small input values
  4. Better alignment with IEEE 754 standards

The updated function maintains the existing API while providing more reliable results across a wider range of inputs. Performance impact is expected to be minimal, with potential improvements for certain input ranges.

Implementation details:

  • Used bit manipulation techniques similar to FreeBSD's approach for improved precision
  • Leveraged stdlib's existing utilities (e.g., @stdlib/math-base-assert-is-nan, @stdlib/constants-float64-pinf)
  • Kept the function signature unchanged for backward compatibility

Testing:

  • Updated existing tests to cover new edge cases
  • Added new tests to verify improved accuracy for values close to ±1
  • Ensured all tests pass and maintain 100% coverage

This update addresses the concerns raised in issue #2089 and should provide a more robust implementation of the atanh function for stdlib users.

I welcome any feedback or suggestions for further improvements.


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@kgryte
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kgryte commented Aug 5, 2024

@Deepakchowdavarapu This PR cannot be merged as is.

  1. You have included other changes in this PR which are not related to atanh.
  2. You did not perform what was requested in [RFC]: update math/base/special/atanh according to the FreeBSD implementation #2089. Namely, the implementation should be a port of the FreeBSD implementation.

As such, I will be closing this PR.

@kgryte kgryte closed this Aug 5, 2024
@kgryte kgryte added the Do Not Merge Pull request which should not be merged. label Aug 5, 2024
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3 participants