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Update the lambert_w dependency to version 2#49

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JSorngard wants to merge 4 commits intoAxect:masterfrom
JSorngard:lambert_w_2
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Update the lambert_w dependency to version 2#49
JSorngard wants to merge 4 commits intoAxect:masterfrom
JSorngard:lambert_w_2

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@JSorngard
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@JSorngard JSorngard commented Mar 28, 2026

I released version 2 of lambert_w to remove some long deprecated functionality.

Since I added an error tolerance to the iterating complex Lambert W function in version 2, I made a tiny wrapper here in puruspe that just calls the function with an error tolerance of f64::EPSILON which matches the behavior in version 1.

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Should I run cargo fmt as well so that the CI passes? It seems to complain about the "beta.rs" file, which is not one touched by this PR.

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This update should not be visible to users of puruspe.

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