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real::erf() inaccuracy #2

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samhocevar opened this issue Mar 2, 2022 · 1 comment
Open

real::erf() inaccuracy #2

samhocevar opened this issue Mar 2, 2022 · 1 comment

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@samhocevar
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samhocevar commented Mar 2, 2022 •
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The current real::erf() implementation uses a Taylor series that does not converge and thus has precision issues.

  • The affected range is [7,19].
  • The approximate error is 10^(-n²/1.13).

That is to say, erf(8) will have a precision error of 10^(-8²/1.13) = 2.3e-57, e.g. the 57th decimal will be inaccurate.
@samhocevar samhocevar mentioned this issue Mar 2, 2022
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@Tigeronthe
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Hey Sam

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@samhocevar @Tigeronthe