osmomath(log/CL): implement and test natural logarithm, custom base logarithm and 1.0001 logarithm

[p0mvn]

Background

With log base 2 implemented in #2788, we should add more bases for logarithms.

Suggested Design

Natural logarithm

ln x = \frac{log_{2}{x}}{log_{2}{1.0001}}

• estimate {log_{2}{e} in WolframAlpha (add link to the estimate)
• hard code the estimate
• create a method Ln that utilizes LogBase2 and hardcoded e value to solve the above

Base 1.0001

This is what we need for concentrated liquidity
$$ln x = \frac{log_{2}{x}}{log_{2}{1.0001}}$$

• estimate {log_{1.0001}{x} in WolframAlpha (add link to the estimate)
• hard code the estimate
• create a method LogBaseHundredthBasisPoint that utilizes LogBase2 and hardcoded log_{1.0001}{x} value to solve the above

Custom Base

Implement LogCustomBase that utilizes similar idea to above

Acceptance Criteria

• tests added for each method
• wolfram links with calculations
• benchmarks
• similar to feat(osmomath): log2 approximation #2788
• make PR against main with backport to concentrated-liquidity-main

[pysel]

I would like to work on it

[p0mvn]

Thank you. Please go ahead

…

On Tue, Oct 25, 2022 at 12:47 AM Ruslan Akhtariev ***@***.***> wrote: I would like to work on it — Reply to this email directly, view it on GitHub <#3132 (comment)>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/AIE4Z3WIH75IXF56W2RIXCDWE6GBJANCNFSM6AAAAAARNOILDA> . You are receiving this because you authored the thread.Message ID: ***@***.***>