eulerversion
An arithmetic library for OCaml's standard integers
euler is a library for doing integer arithmetic with OCaml’s standard integers (31 or 63 bits). It provides:
Dropin, overflowdetecting base arithmetic: if you are paranoid about vicious bugs sneaking in silently, this library detects overflows and signal them by throwing an exception; the module can be used as a dropin replacement for the standard library (beware that Euler.Arith.min_int differs from Stdlib.min_int, the latter being a forbidden value). There are also a few additional functions such as integer logarithms and square roots.
More advanced arithmetic: for the weird folks (like myself) who are interested in advanced arithmetic but do not care about integers larger than 262, and thus do not want the burden of using an arbitraryprecision library (zarith of GMP), there you are. The library provides some classic functions such as the GCD, the Jacobi symbol, primality testing (fast and deterministic for all 63bit integers!), integer factorization (implementing Lenstra’s elliptic curve factorization, which was apparently one of the best known algorithms back when I wrote that code, but obviously it is still very slow! — and I must say I understand very little about it…), a prime sieve (heavily optimized) and a factorization sieve, Euler’s totient function (slow too, of course), and so on.
Solvers for some forms of integer equations (socalled “Diophantine equations”): linear congruence systems (the Chinese remainder theorem), PellFermat’s equations (the Chakravala method — preliminary code that just needs some packaging effort).
Modular arithmetic: including finding modular inverses (and pseudoinverses). A nice functorial interface provides convenient notations and uses a private type to enforce that values are always normalized in the range 0…m−1 where m is the modulus. Example use:
module M = Euler.Modular.Make (struct let modulo = 42 end) let () = assert (M.( !:1 /: (!:33 +: !:4) = !:5 **:(4) )) (* modulo 42, the inverse of (33 + 4) is equal to 5^(−4) *)
Author  Glen Mével <glen.mevel@crans.org> 

License  WTFPL 
Published  
Homepage  https://github.com/gmevel/eulerlib 
Issue Tracker  https://github.com/gmevel/eulerlib/issues 
Maintainer  Glen Mével <glen.mevel@crans.org> 
Available  arch != "x86_32" & arch != "arm32" 
Dependencies 

Source [http]  https://github.com/gmevel/eulerlib/releases/download/0.2/euler0.2.tbz sha256=08374ccd4df9349dbd94f57929ea89669a9374726d7dea5914a4642adaaff333 sha512=75b563e67dec16e821ce583d773e5ac4ebbd1ec4b50b3a3d4e8d7ffac192cc9a4f295f423f5e52666df04a51b67910d1e0df58085c2f9d0b3a6559b2f55d287a 
Edit  https://github.com/ocaml/opamrepository/tree/master/packages/euler/euler.0.2/opam 