# Module Polka

    module Polka: sig .. end

    type internal

Convex Polyhedra and Linear Equalities abstract domains

    type loose

    type strict

Two flavors for convex polyhedra: loose or strict.

Loose polyhedra cannot have strict inequality constraints like `x>0`. They are algorithmically more efficient (less generators, simpler normalization).

Convex polyhedra are defined by the conjunction of a set of linear constraints of the form `a_0*x_0 + ... + a_n*x_n + b >= 0` or `a_0*x_0 + ... + a_n*x_n + b > 0` where `a_0, ..., a_n, b, c` are constants and `x_0, ..., x_n` variables.

    type equalities

Linear equalities.

Linear equalities are conjunctions of linear equalities of the form `a_0*x_0 + ... + a_n*x_n + b = 0`.

    type 'a t

Type of convex polyhedra/linear equalities, where `'a` is `loose`, `strict` or `equalities`.

Abstract values which are convex polyhedra have the type `(loose t) Apron.Abstract0.t` or `(loose t) Apron.Abstract1.t` or `(strict t) Apron.Abstract0.t` or `(strict t) Apron.Abstract1.t`.

Abstract values which are conjunction of linear equalities have the type `(equalities t) Apron.Abstract0.t` or `(equalities t) Apron.Abstract1.t`.

Managers allocated by NewPolka have the type `'a t Apron.Manager.t`.

    val manager_alloc_loose : unit -> loose t Apron.Manager.t

Create a NewPolka manager for loose convex polyhedra.

    val manager_alloc_strict : unit -> strict t Apron.Manager.t

Create a NewPolka manager for strict convex polyhedra.

    val manager_alloc_equalities : unit -> equalities t Apron.Manager.t

Create a NewPolka manager for conjunctions of linear equalities.

    val manager_get_internal : 'a t Apron.Manager.t -> internal

Get the internal submanager of a NewPolka manager.

Various options. See the C documentation

    val set_max_coeff_size : internal -> int -> unit

    val set_approximate_max_coeff_size : internal -> int -> unit

    val get_max_coeff_size : internal -> int

    val get_approximate_max_coeff_size : internal -> int

### Type conversions

    val manager_is_polka : 'a Apron.Manager.t -> bool

    val manager_is_polka_loose : 'a Apron.Manager.t -> bool

    val manager_is_polka_strict : 'a Apron.Manager.t -> bool

    val manager_is_polka_equalities : 'a Apron.Manager.t -> bool

Return `true` iff the argument manager is a polka manager

    val manager_of_polka : 'a t Apron.Manager.t -> 'b Apron.Manager.t

    val manager_of_polka_loose : loose t Apron.Manager.t -> 'a Apron.Manager.t

    val manager_of_polka_strict : strict t Apron.Manager.t -> 'a Apron.Manager.t

    val manager_of_polka_equalities : equalities t Apron.Manager.t -> 'a Apron.Manager.t

Makes a polka manager generic

    val manager_to_polka : 'a Apron.Manager.t -> 'b t Apron.Manager.t

    val manager_to_polka_loose : 'a Apron.Manager.t -> loose t Apron.Manager.t

    val manager_to_polka_strict : 'a Apron.Manager.t -> strict t Apron.Manager.t

    val manager_to_polka_equalities : 'a Apron.Manager.t -> equalities t Apron.Manager.t

Instanciate the type of a polka manager. Raises `Failure` if the argument manager is not a polka manager

    module Abstract0: sig .. end

    module Abstract1: sig .. end

### Compilation information

See Compiling and linking client programs against APRON for complete explanations. We just show examples with the file `mlexample.ml`.

#### Bytecode compilation

    ocamlc -I $MLGMPIDL_PREFIX/lib -I $APRON_PREFIX/lib -o mlexample.byte \
      bigarray.cma gmp.cma apron.cma polkaMPQ.cma mlexample.ml

    ocamlc -I $MLGMPIDL_PREFIX/lib -I $APRON_PREFIX/lib -make-runtime -o myrun \
      bigarray.cma gmp.cma apron.cma polkaMPQ.cma

    ocamlc -I $MLGMPIDL_PREFIX/lib -I $APRON_PREFIX/lib -use-runtime myrun -o mlexample.byte \
      bigarray.cma gmp.cma apron.cma polkaMPQ.cma mlexample.ml

#### Native-code compilation

    ocamlopt -I $MLGMPIDL_PREFIX/lib -I $APRON_PREFIX/lib -o mlexample.opt \
      bigarray.cmxa gmp.cmxa apron.cmxa polkaMPQ.cmxa mlexample.ml

#### Without auto-linking feature

    ocamlopt -I $MLGMPIDL_PREFIX/lib -I $APRON_PREFIX/lib -noautolink -o mlexample.opt \
      bigarray.cmxa gmp.cmxa apron.cmxa polkaMPQ.cmxa mlexample.ml \
      -cclib "-L$MLGMPIDL_PREFIX/lib -L$APRON_PREFIX/lib \
    	  -lpolkaMPQ_caml_debug -lpolkaMPQ_debug \
    	  -lapron_caml_debug -lapron_debug \
    	  -lgmp_caml -L$MPFR_PREFIX/lib -lmpfr -L$GMP_PREFIX/lib -lgmp \
    	  -L$CAMLIDL_PREFIX/lib/ocaml -lcamlidl \
    	  -lbigarray"