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log_1p #11

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huonw opened this issue Jan 13, 2019 · 0 comments
Open

log_1p #11

huonw opened this issue Jan 13, 2019 · 0 comments
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huonw commented Jan 13, 2019 •
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Potentially best implemented in the form of log2_1p, but ln_1p should be exposed too.
@huonw huonw mentioned this issue Jan 13, 2019
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@huonw huonw self-assigned this Jan 22, 2019
@huonw huonw mentioned this issue Jan 26, 2019
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huonw added a commit that referenced this issue Jan 26, 2019
@huonw
Implement log2_1p.
4453c8e 
This switches between the linear approximation log_B(x) ~ x/ln(B) for
small x and the "obvious" log_B(1 + x), with the size threshold chosen
by `optimizer`. There was not much value in optimizing the
multiplicative constant (especially true for `ln_1p` if that is every
implemented: ln(x) ~ x avoids a multiplication), or using a
higher-degree polynomial, because the equation above is as accurate as
the `log2` approximation.

Fixes #11.
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