[lib] Split auxiliary libraries into Coq-specific and general.

Up to this point the `lib` directory contained two different library
archives, `clib.cma` and `lib.cma`, which a rough splitting between
Coq-specific libraries and general-purpose ones.

We know split the directory in two, as to make the distinction clear:

- `clib`: contains libraries that are not Coq specific and implement
  common data structures and programming patterns. These libraries
  could be eventually replace with external dependencies and the rest
  of the code base wouldn't notice much.

- `lib`: contains Coq-specific common libraries in widespread use
  along the codebase, but that are not considered part of other
  components. Examples are printing, error handling, or flags.

In some cases we have coupling due to utility files depending on Coq
specific flags, however this commit doesn't modify any files, but only
moves them around, further cleanup is welcome, as indeed a few files
in `lib` should likely be placed in `clib`.

Also note that `Deque` is not used ATM.

1 files changed, 50 insertions, 0 deletions

diff --git a/clib/bigint.mli b/clib/bigint.mli
new file mode 100644
index 000000000..2a5a5f122
--- /dev/null
+++ b/clib/bigint.mli
@@ -0,0 +1,50 @@
+(************************************************************************)
+(*  v      *   The Coq Proof Assistant  /  The Coq Development Team     *)
+(* <O___,, *   INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2017     *)
+(*   \VV/  **************************************************************)
+(*    //   *      This file is distributed under the terms of the       *)
+(*         *       GNU Lesser General Public License Version 2.1        *)
+(************************************************************************)
+
+(** Arbitrary large integer numbers *)
+
+type bigint
+
+val of_string : string -> bigint
+(** May raise a Failure just as [int_of_string] on non-numerical strings *)
+
+val to_string : bigint -> string
+
+val of_int : int -> bigint
+val to_int : bigint -> int (** May raise a Failure on oversized numbers *)
+
+val zero : bigint
+val one : bigint
+val two : bigint
+
+val div2_with_rest : bigint -> bigint * bool (** true=odd; false=even *)
+val add_1 : bigint -> bigint
+val sub_1 : bigint -> bigint
+val mult_2 : bigint -> bigint
+
+val add : bigint -> bigint -> bigint
+val sub : bigint -> bigint -> bigint
+val mult : bigint -> bigint -> bigint
+
+(** Euclid division m/d = (q,r), with m = q*d+r and |r|<|q|.
+    This is the "Trunc" variant (a.k.a "Truncated-Toward-Zero"),
+    as with ocaml's / (but not as ocaml's Big_int.quomod_big_int).
+    We have sign r = sign m *)
+
+val euclid : bigint -> bigint -> bigint * bigint
+
+val less_than : bigint -> bigint -> bool
+val equal : bigint -> bigint -> bool
+
+val is_strictly_pos : bigint -> bool
+val is_strictly_neg : bigint -> bool
+val is_pos_or_zero : bigint -> bool
+val is_neg_or_zero : bigint -> bool
+val neg : bigint -> bigint
+
+val pow : bigint -> int -> bigint