Implement Exponential Module

[Rinzii]

The exponential module currently has the following functions that need implementation or work done.

TODO:

Implement:

• exp
• exp2
• expm1
• log
• log1p
• log2
• log10

Document:

• exp
• exp2
• expm1
• log
• log1p
• log2
• log10

NOTES:

None currently.

[Rinzii]

Currently have log and log2 working with high speeds and outputting values inline with the standard variants. Next target is going to be implementing exp as it will likely be extremely useful for other functions down the line.

Other items on the agenda include finishing an implementation of log2 for specifically floats and better documenting the internal implementations of log and log2 to be more approachable for those who are not necessarily experts in floating point bit manipulation.

Also, for the time being the log and log2 implementations use a lot of __builtin_bit_cast which does work with C++17 across most major compilers, but unfortunately requires a pretty modern compiler. I'd like to implement other fallbacks that don't rely on __builtin_bit_cast, but unfortunately this will require a lot more research into the topics as without the ability to cast bits getting fast and accurate implementations is somewhat hard.

[Rinzii]

Progress has been slow, but promising. The biggest concern currently is sometimes I get instances where I am extremely close to the same degree of precision as the standard, but when dealing in situations where extreme precision is required. Some areas I am off of the standard by an extremely tiny amount, but enough to notice. Generally, this appears to occur when mixing functions together along with high precision mathematical constants. I will need to do more research into the issue at a later date, but for now I will consider it acceptable. Either way, I’m going to begin pushing further into implementation for exp2.

[Rinzii]

Currently putting the remaining functions for the exponential module onto the back burner and going to refocus my efforts to implementing more common functions in .