Taylor mode automatic differentiation

[Axect]

Peroxide has two AD methods - Dual, HyperDual. But these are only 1st and 2nd order methods, and they are distinct. So, we need not only higher order AD but also generic.

• Struct AD
  • fmt::Display
  • Copy?
  • From<T>
• std::ops for AD
  • Add, Sub, Neg
  • Mul
  • Div
• PowOps for AD
  • powi
  • powf
  • pow
• TrigOps for AD
  • sin, cos, tan
  • asin, acos, atan
  • sinh, cosh, tanh
  • asinh, acosh, atanh
  • sin_cos, sinh_cosh
• ExpLogOps for AD
  • exp, ln
  • log, log2, log10
• std::ops with f64
  • Add, Sub
  • Mul, Div
• Change the structure - proc_macro to Enum (to reduce compile time)
• Generic AD function - ADFn
• Apply to numerical things
  • numerical/root
  • numerical/ode
  • numerical/optimize
  • numerical/utils

[ninkoze]

Hi, am interested in your library. Can you make some todo tasks so we can we pick that if we want to contribute?
I think creating tasks on the project board will be good so that you can assign to a person who is doing https://github.com/Axect/Peroxide/projects

[tbmreza]

@nixar0x0 You could pick up anything from https://github.com/Axect/Peroxide/blob/master/TODO.md and have your pull request reviewed almost right away (judging from https://github.com/Axect/Peroxide/pulls?q=is%3Apr+is%3Aclosed ).

[Axect]

@nixar0x0 Thank you for interests and @tbmreza thank you for good advice.
I'll update TODO.md more specifically soon.