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ocramz avatar ocramz commented on June 4, 2024

@Shimuuar I am finding some packages that provide long double and arbitrary-precision operations:

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ocramz avatar ocramz commented on June 4, 2024

there's a long-standing GHC ticket to add CLDouble support : https://gitlab.haskell.org/ghc/ghc/issues/3353

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Shimuuar avatar Shimuuar commented on June 4, 2024

DoubleDouble (and triple double) is different approach. It's software emulation of something similar to quad precision.

  • Long double (80-bit) has 63-bit mantissa DoubleDouble has 2x (3x) of Double — 106 bit (162 bit). On other hand it doesn't have hardware support
  • Unlike arbitrary precision it has fixed size 128 (192) bit and thus could be easily unboxed/

Kahan's compensated summation is special case of this approach. I'm only aware of Julia's implementation of this algorithm

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ocramz avatar ocramz commented on June 4, 2024

@Shimuuar is this something you know how to implement? In case, would you like to do it?

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Shimuuar avatar Shimuuar commented on June 4, 2024

I have stack of papers on the subject, there's open source Julia implementation and no time to do anything :(

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