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Add ligamma and ligamma_lower, the logarithms of tgamma(a, x) and tgamma_lower(a, x) - #1505
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…mma_lower(a, x) Logs of the non-normalised value, or lgamma plus logs of the regularized one, and a log x - x plus the logged fraction or series where that underflows. Closes #1173. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
… terms log(tgamma(a, x)) is a small difference of terms as large as a log(x) and x, so host and device differ by many eps relative to it. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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Logs of the non-normalised value, or lgamma plus logs of the regularized one, and a log x - x plus the logged fraction or series where that underflows. Closes #1173.
ulps against Arb (
arb_hypgeom_gamma_upperfor x >= a, the lower series otherwise): ligamma/ligamma_lower in blue; in orange, log(tgamma)/log(tgamma_lower), or for large a, where those overflow, lgamma(a) + lgamma_q/lgamma_p. Red is -inf or NaN. The missing orange in the last plot is lgamma_p overflowing when P underflows with a < 4x, an existing bug.🤖 Generated with Claude Code