Hi everyone!

This is a small package to solve a specific problem: to avoid floating-point errors while using multiples of pi in arithmetic or trigonometric functions. The package exports the constant `Pi`

that is numerically equivalent to `pi`

, except it delays the conversion to float. Using `Pi`

, or a multiple of it, as an argument to trigonometric functions such as `sin`

and `cos`

would lead to the functions `sinpi`

and `cospi`

being used under the hood, so the result might end up being exact.

This can help, for example, in obtaining exact results such as

```
julia> (1//3)pi + (4//3)pi == (5//3)pi
false
julia> (1//3)Pi + (4//3)Pi == (5//3)Pi
true
# Euler's identity
julia> exp(im*pi) + 1 == 0
false
julia> exp(im*Pi) + 1 == 0
true
```

The concept is not unknown to the community, in fact it was discussed in 2013 in the PR that introduced `sinpi`

and `cospi`

, but I didnâ€™t know of an implementation so I made my own.

Github: https://github.com/jishnub/MultiplesOfPi.jl.git

Please let me know what you think, or if you know of any package that does this already.